{"id":1,"expression_no_base_symbol":"($3786$⪛$5561$⫥∨⫟(↽≂$7221$)↺(($2700$≫≃)⋷$1109$⋥≓≎$4250$))+⇶⊼(($5593$⊦⊿)⨰(⪲⇎$4023$))⪘⫢(($1230$*$2841$)≧⫂∧(↽≂$1340$))","expression":"(⊺⇮3786⪛⊺⇮5561⫥∨⫟(↽≂⊺⇮7221)↺((⊺⇮2700≫≃)⋷⊺⇮1109⋥≓≎⊺⇮4250))+⇶⊼((⊺⇮5593⊦⊿)⨰(⪲⇎⊺⇮4023))⪘⫢((⊺⇮1230*⊺⇮2841)≧⫂∧(↽≂⊺⇮1340))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1436,"operation_count":15,"complexity_ratio":95.73333333333333,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3786,"base":10},"right_expr":{"type":"numeric_atoms","value":5561,"base":10}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":7221,"base":10}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":2700,"base":10}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1109,"base":10},"right_expr":{"type":"numeric_atoms","value":4250,"base":10}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":5593,"base":10}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":4023,"base":10}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1230,"base":10},"right_expr":{"type":"numeric_atoms","value":2841,"base":10}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1340,"base":10}}}}},"used_operators":["TpPTUOHfaN","7j4O788W3g","KYD54nUTWz","uFcxV4UQCh","u6S6b8DprG","23Mk6UjR3U","X99M06cbEe","Qy55tPpLXF","oacrs7FA3X","eewbuw0ToL","14qkJME0vr","XPYlsWDdGa","Ph9nP6C5qx","9HNa5Wba9A"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3786","layer":4},{"info":"number node, value=5561","layer":4},{"info":"compute binary expreesion, left_input=3786, right_input=5561, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3786","layer":3},{"info":"number node, value=7221","layer":4},{"info":"compute unary expreesion, input=7221, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-14442","layer":3},{"info":"compute binary expreesion, left_input=3786, right_input=-14442, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=2700","layer":4},{"info":"compute unary expreesion, input=2700, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=6801","layer":3},{"info":"number node, value=1109","layer":4},{"info":"number node, value=4250","layer":4},{"info":"compute binary expreesion, left_input=1109, right_input=4250, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=7424","layer":3},{"info":"compute binary expreesion, left_input=6801, right_input=7424, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=8047","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=8047, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=8047","layer":1},{"info":"number node, value=5593","layer":4},{"info":"compute unary expreesion, input=5593, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-16858","layer":3},{"info":"number node, value=4023","layer":4},{"info":"compute unary expreesion, input=4023, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=8046","layer":3},{"info":"compute binary expreesion, left_input=-16858, right_input=8046, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-24894","layer":2},{"info":"number node, value=1230","layer":4},{"info":"number node, value=2841","layer":4},{"info":"compute binary expreesion, left_input=1230, right_input=2841, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3494430","layer":3},{"info":"number node, value=1340","layer":4},{"info":"compute unary expreesion, input=1340, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2680","layer":3},{"info":"compute binary expreesion, left_input=3494430, right_input=-2680, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3497110","layer":2},{"info":"compute binary expreesion, left_input=-24894, right_input=3497110, 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=8047, 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":10,"result_base":10,"text":"(⊺⇮3786⪛⊺⇮5561⫥∨⫟(↽≂⊺⇮7221)↺((⊺⇮2700≫≃)⋷⊺⇮1109⋥≓≎⊺⇮4250))+⇶⊼((⊺⇮5593⊦⊿)⨰(⪲⇎⊺⇮4023))⪘⫢((⊺⇮1230*⊺⇮2841)≧⫂∧(↽≂⊺⇮1340))=⊺⇮0","reverse_text":"⊺⇮0=(⊺⇮3786⪛⊺⇮5561⫥∨⫟(↽≂⊺⇮7221)↺((⊺⇮2700≫≃)⋷⊺⇮1109⋥≓≎⊺⇮4250))+⇶⊼((⊺⇮5593⊦⊿)⨰(⪲⇎⊺⇮4023))⪘⫢((⊺⇮1230*⊺⇮2841)≧⫂∧(↽≂⊺⇮1340))","cot":[{"info":"⊺⇮3786⪛⊺⇮5561=⊺⇮3786","layer":3},{"info":"↽≂⊺⇮7221=⊺⇮-14442","layer":3},{"info":"⊺⇮3786⫥∨⫟⊺⇮-14442=NaN","layer":2},{"info":"⊺⇮2700≫≃=⊺⇮6801","layer":3},{"info":"⊺⇮1109⋥≓≎⊺⇮4250=⊺⇮7424","layer":3},{"info":"⊺⇮6801⋷⊺⇮7424=⊺⇮8047","layer":2},{"info":"NaN↺⊺⇮8047=⊺⇮8047","layer":1},{"info":"⊺⇮5593⊦⊿=⊺⇮-16858","layer":3},{"info":"⪲⇎⊺⇮4023=⊺⇮8046","layer":3},{"info":"⊺⇮-16858⨰⊺⇮8046=⊺⇮-24894","layer":2},{"info":"⊺⇮1230*⊺⇮2841=⊺⇮3494430","layer":3},{"info":"↽≂⊺⇮1340=⊺⇮-2680","layer":3},{"info":"⊺⇮3494430≧⫂∧⊺⇮-2680=⊺⇮3497110","layer":2},{"info":"⊺⇮-24894⪘⫢⊺⇮3497110=⊺⇮0","layer":1},{"info":"⊺⇮8047+⇶⊼⊺⇮0=⊺⇮0","layer":0}]}
{"id":2,"expression_no_base_symbol":"(($1930$⋥≓≎$4124$⪐)∲⫓$5814$⪛$2558$∑⇟⊟($1446$⨸⪁$4483$))∑⇟⊟((↩$3705$⋓$4400$)⨸⪁(↽≂$6660$≧⫂∧$5936$))","expression":"((⊺⇮1930⋥≓≎⊺⇮4124⪐)∲⫓⊺⇮5814⪛⊺⇮2558∑⇟⊟(⊺⇮1446⨸⪁⊺⇮4483))∑⇟⊟((↩⊺⇮3705⋓⊺⇮4400)⨸⪁(↽≂⊺⇮6660≧⫂∧⊺⇮5936))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":57,"operation_count":12,"complexity_ratio":4.75,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1930,"base":10},"right_expr":{"type":"numeric_atoms","value":4124,"base":10}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":5814,"base":10},"right_expr":{"type":"numeric_atoms","value":2558,"base":10}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1446,"base":10},"right_expr":{"type":"numeric_atoms","value":4483,"base":10}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3705,"base":10},"right_expr":{"type":"numeric_atoms","value":4400,"base":10}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":6660,"base":10},"right_expr":{"type":"numeric_atoms","value":5936,"base":10}}}}},"used_operators":["U7g4x0WXJJ","i8ToyICDmI","eH2TOUuTDT","Qy55tPpLXF","uFcxV4UQCh","g55IO6H4Gj","jLgFTUHLKL","T2fj7uvVaJ","u6S6b8DprG","Ph9nP6C5qx"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1930","layer":4},{"info":"number node, value=4124","layer":4},{"info":"compute binary expreesion, left_input=1930, right_input=4124, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=6351","layer":3},{"info":"compute unary expreesion, input=6351, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=12702","layer":2},{"info":"number node, value=5814","layer":4},{"info":"number node, value=2558","layer":4},{"info":"compute binary expreesion, left_input=5814, right_input=2558, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=698","layer":3},{"info":"number node, value=1446","layer":4},{"info":"number node, value=4483","layer":4},{"info":"compute binary expreesion, left_input=1446, right_input=4483, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=11858","layer":3},{"info":"compute binary expreesion, left_input=698, right_input=11858, 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=12702, 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=3705","layer":4},{"info":"number node, value=4400","layer":4},{"info":"compute binary expreesion, left_input=3705, right_input=4400, op_id = T2fj7uvVaJ binary_op_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 = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=4844","layer":2},{"info":"number node, value=6660","layer":4},{"info":"number node, value=5936","layer":4},{"info":"compute binary expreesion, left_input=6660, right_input=5936, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5463","layer":3},{"info":"compute unary expreesion, input=5463, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-10926","layer":2},{"info":"compute binary expreesion, left_input=4844, right_input=-10926, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-12164","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-12164, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1930⋥≓≎⊺⇮4124⪐)∲⫓⊺⇮5814⪛⊺⇮2558∑⇟⊟(⊺⇮1446⨸⪁⊺⇮4483))∑⇟⊟((↩⊺⇮3705⋓⊺⇮4400)⨸⪁(↽≂⊺⇮6660≧⫂∧⊺⇮5936))=NaN","reverse_text":"NaN=((⊺⇮1930⋥≓≎⊺⇮4124⪐)∲⫓⊺⇮5814⪛⊺⇮2558∑⇟⊟(⊺⇮1446⨸⪁⊺⇮4483))∑⇟⊟((↩⊺⇮3705⋓⊺⇮4400)⨸⪁(↽≂⊺⇮6660≧⫂∧⊺⇮5936))","cot":[{"info":"⊺⇮1930⋥≓≎⊺⇮4124=⊺⇮6351","layer":3},{"info":"⊺⇮6351⪐=⊺⇮12702","layer":2},{"info":"⊺⇮5814⪛⊺⇮2558=⊺⇮698","layer":3},{"info":"⊺⇮1446⨸⪁⊺⇮4483=⊺⇮11858","layer":3},{"info":"⊺⇮698∑⇟⊟⊺⇮11858=NaN","layer":2},{"info":"⊺⇮12702∲⫓NaN=NaN","layer":1},{"info":"⊺⇮3705⋓⊺⇮4400=⊺⇮0","layer":3},{"info":"↩⊺⇮0=⊺⇮4844","layer":2},{"info":"⊺⇮6660≧⫂∧⊺⇮5936=⊺⇮5463","layer":3},{"info":"↽≂⊺⇮5463=⊺⇮-10926","layer":2},{"info":"⊺⇮4844⨸⪁⊺⇮-10926=⊺⇮-12164","layer":1},{"info":"NaN∑⇟⊟⊺⇮-12164=NaN","layer":0}]}
{"id":3,"expression_no_base_symbol":"(↩(($1662$⪒$3263$)⩨($3790$⋷$2538$)))≧⫂∧(≦∁(⇁⨣⪵$6225$)↙$1150$⫥∨⫟$1360$)","expression":"(↩((⊺⇮1662⪒⊺⇮3263)⩨(⊺⇮3790⋷⊺⇮2538)))≧⫂∧(≦∁(⇁⨣⪵⊺⇮6225)↙⊺⇮1150⫥∨⫟⊺⇮1360)","highest_n_order":5,"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":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1662,"base":10},"right_expr":{"type":"numeric_atoms","value":3263,"base":10}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3790,"base":10},"right_expr":{"type":"numeric_atoms","value":2538,"base":10}}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":6225,"base":10}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1150,"base":10},"right_expr":{"type":"numeric_atoms","value":1360,"base":10}}}}},"used_operators":["Ph9nP6C5qx","jLgFTUHLKL","2DlMacCsIx","f6k1SAg4EE","23Mk6UjR3U","9ICcGScMcE","yyfyN0ffXY","inkyxCbjAn","KYD54nUTWz"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","tmPS8pqC7x","DpFCA1CohY","B5M0gjZbta","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1662","layer":4},{"info":"number node, value=3263","layer":4},{"info":"compute binary expreesion, left_input=1662, right_input=3263, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4925","layer":3},{"info":"number node, value=3790","layer":4},{"info":"number node, value=2538","layer":4},{"info":"compute binary expreesion, left_input=3790, right_input=2538, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1286","layer":3},{"info":"compute binary expreesion, left_input=-4925, right_input=1286, 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 = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=4808","layer":1},{"info":"number node, value=6225","layer":4},{"info":"compute unary expreesion, input=6225, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=1150","layer":4},{"info":"number node, value=1360","layer":4},{"info":"compute binary expreesion, left_input=1150, right_input=1360, 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 = 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 = 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=4808, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(↩((⊺⇮1662⪒⊺⇮3263)⩨(⊺⇮3790⋷⊺⇮2538)))≧⫂∧(≦∁(⇁⨣⪵⊺⇮6225)↙⊺⇮1150⫥∨⫟⊺⇮1360)=NaN","reverse_text":"NaN=(↩((⊺⇮1662⪒⊺⇮3263)⩨(⊺⇮3790⋷⊺⇮2538)))≧⫂∧(≦∁(⇁⨣⪵⊺⇮6225)↙⊺⇮1150⫥∨⫟⊺⇮1360)","cot":[{"info":"⊺⇮1662⪒⊺⇮3263=⊺⇮-4925","layer":3},{"info":"⊺⇮3790⋷⊺⇮2538=⊺⇮1286","layer":3},{"info":"⊺⇮-4925⩨⊺⇮1286=⊺⇮3","layer":2},{"info":"↩⊺⇮3=⊺⇮4808","layer":1},{"info":"⇁⨣⪵⊺⇮6225=NaN","layer":3},{"info":"⊺⇮1150⫥∨⫟⊺⇮1360=NaN","layer":3},{"info":"NaN↙NaN=NaN","layer":2},{"info":"≦∁NaN=NaN","layer":1},{"info":"⊺⇮4808≧⫂∧NaN=NaN","layer":0}]}
{"id":4,"expression_no_base_symbol":"≉($3983$↺$6169$)⪮%⊝($3276$↪⪝)⋝⋈⪟(($1049$⨁⊸⫻)⨸⪁($1143$/$1915$))","expression":"≉(⊺⇮3983↺⊺⇮6169)⪮%⊝(⊺⇮3276↪⪝)⋝⋈⪟((⊺⇮1049⨁⊸⫻)⨸⪁(⊺⇮1143/⊺⇮1915))","highest_n_order":2,"priority_hierarchical_complexity":7,"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":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3983,"base":10},"right_expr":{"type":"numeric_atoms","value":6169,"base":10}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":3276,"base":10}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1049,"base":10}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1143,"base":10},"right_expr":{"type":"numeric_atoms","value":1915,"base":10}}}}},"used_operators":["e1ybzncUwg","2DDjHMKMc0","IWmyXbctLI","7j4O788W3g","l07mrZUIn9","g55IO6H4Gj","glklzrTFfD","XhwjNDsVaA"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z"],"result":"⊺⇮13185","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3983","layer":4},{"info":"number node, value=6169","layer":4},{"info":"compute binary expreesion, left_input=3983, right_input=6169, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=6169","layer":3},{"info":"number node, value=3276","layer":4},{"info":"compute unary expreesion, input=3276, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=200432232","layer":3},{"info":"compute binary expreesion, left_input=6169, right_input=200432232, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=12654","layer":2},{"info":"number node, value=1049","layer":4},{"info":"compute unary expreesion, input=1049, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1049","layer":3},{"info":"number node, value=1143","layer":4},{"info":"number node, value=1915","layer":4},{"info":"compute binary expreesion, left_input=1143, right_input=1915, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=1049, right_input=0, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=2098","layer":2},{"info":"compute binary expreesion, left_input=12654, right_input=2098, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=12654","layer":1},{"info":"compute unary expreesion, input=12654, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=13185","layer":0}],"base":10,"result_base":10,"text":"≉(⊺⇮3983↺⊺⇮6169)⪮%⊝(⊺⇮3276↪⪝)⋝⋈⪟((⊺⇮1049⨁⊸⫻)⨸⪁(⊺⇮1143/⊺⇮1915))=⊺⇮13185","reverse_text":"⊺⇮13185=≉(⊺⇮3983↺⊺⇮6169)⪮%⊝(⊺⇮3276↪⪝)⋝⋈⪟((⊺⇮1049⨁⊸⫻)⨸⪁(⊺⇮1143/⊺⇮1915))","cot":[{"info":"⊺⇮3983↺⊺⇮6169=⊺⇮6169","layer":3},{"info":"⊺⇮3276↪⪝=⊺⇮200432232","layer":3},{"info":"⊺⇮6169⪮%⊝⊺⇮200432232=⊺⇮12654","layer":2},{"info":"⊺⇮1049⨁⊸⫻=⊺⇮1049","layer":3},{"info":"⊺⇮1143/⊺⇮1915=⊺⇮0","layer":3},{"info":"⊺⇮1049⨸⪁⊺⇮0=⊺⇮2098","layer":2},{"info":"⊺⇮12654⋝⋈⪟⊺⇮2098=⊺⇮12654","layer":1},{"info":"≉⊺⇮12654=⊺⇮13185","layer":0}]}
{"id":5,"expression_no_base_symbol":"((⨑⩽⪐($1247$%$1306$))⊭↱$1919$⋝⋈⪟$2485$≭($1292$≦≮≮))⨰((↥$1155$⨽$3708$)⨰(($3105$%$2076$)⊭↱(⊄⩳↩$1119$)))","expression":"((⨑⩽⪐(⊺⇮1247%⊺⇮1306))⊭↱⊺⇮1919⋝⋈⪟⊺⇮2485≭(⊺⇮1292≦≮≮))⨰((↥⊺⇮1155⨽⊺⇮3708)⨰((⊺⇮3105%⊺⇮2076)⊭↱(⊄⩳↩⊺⇮1119)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":79868,"operation_count":13,"complexity_ratio":6143.692307692308,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1247,"base":10},"right_expr":{"type":"numeric_atoms","value":1306,"base":10}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1919,"base":10},"right_expr":{"type":"numeric_atoms","value":2485,"base":10}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1292,"base":10}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1155,"base":10},"right_expr":{"type":"numeric_atoms","value":3708,"base":10}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3105,"base":10},"right_expr":{"type":"numeric_atoms","value":2076,"base":10}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1119,"base":10}}}}},"used_operators":["eewbuw0ToL","COABgblf1C","AF7qkfDlqP","k8jYdgA6NY","rxpJgHHUmx","2DDjHMKMc0","D4vGDi5EA2","A8NUZmVepG","8HhzD0ZcuI","8w2t5hMYqp"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1247","layer":4},{"info":"number node, value=1306","layer":4},{"info":"compute binary expreesion, left_input=1247, right_input=1306, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1247","layer":3},{"info":"compute unary expreesion, input=1247, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-974","layer":2},{"info":"number node, value=1919","layer":4},{"info":"number node, value=2485","layer":4},{"info":"compute binary expreesion, left_input=1919, right_input=2485, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1919","layer":3},{"info":"number node, value=1292","layer":4},{"info":"compute unary expreesion, input=1292, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-3876","layer":3},{"info":"compute binary expreesion, left_input=1919, right_input=-3876, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=-974, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"number node, value=1155","layer":4},{"info":"number node, value=3708","layer":4},{"info":"compute binary expreesion, left_input=1155, right_input=3708, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-4011885","layer":3},{"info":"compute unary expreesion, input=-4011885, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=30","layer":2},{"info":"number node, value=3105","layer":4},{"info":"number node, value=2076","layer":4},{"info":"compute binary expreesion, left_input=3105, right_input=2076, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1029","layer":3},{"info":"number node, value=1119","layer":4},{"info":"compute unary expreesion, input=1119, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3357","layer":3},{"info":"compute binary expreesion, left_input=1029, right_input=-3357, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-8767","layer":2},{"info":"compute binary expreesion, left_input=30, right_input=-8767, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=8807","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=8807, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⨑⩽⪐(⊺⇮1247%⊺⇮1306))⊭↱⊺⇮1919⋝⋈⪟⊺⇮2485≭(⊺⇮1292≦≮≮))⨰((↥⊺⇮1155⨽⊺⇮3708)⨰((⊺⇮3105%⊺⇮2076)⊭↱(⊄⩳↩⊺⇮1119)))=NaN","reverse_text":"NaN=((⨑⩽⪐(⊺⇮1247%⊺⇮1306))⊭↱⊺⇮1919⋝⋈⪟⊺⇮2485≭(⊺⇮1292≦≮≮))⨰((↥⊺⇮1155⨽⊺⇮3708)⨰((⊺⇮3105%⊺⇮2076)⊭↱(⊄⩳↩⊺⇮1119)))","cot":[{"info":"⊺⇮1247%⊺⇮1306=⊺⇮1247","layer":3},{"info":"⨑⩽⪐⊺⇮1247=⊺⇮-974","layer":2},{"info":"⊺⇮1919⋝⋈⪟⊺⇮2485=⊺⇮1919","layer":3},{"info":"⊺⇮1292≦≮≮=⊺⇮-3876","layer":3},{"info":"⊺⇮1919≭⊺⇮-3876=NaN","layer":2},{"info":"⊺⇮-974⊭↱NaN=NaN","layer":1},{"info":"⊺⇮1155⨽⊺⇮3708=⊺⇮-4011885","layer":3},{"info":"↥⊺⇮-4011885=⊺⇮30","layer":2},{"info":"⊺⇮3105%⊺⇮2076=⊺⇮1029","layer":3},{"info":"⊄⩳↩⊺⇮1119=⊺⇮-3357","layer":3},{"info":"⊺⇮1029⊭↱⊺⇮-3357=⊺⇮-8767","layer":2},{"info":"⊺⇮30⨰⊺⇮-8767=⊺⇮8807","layer":1},{"info":"NaN⨰⊺⇮8807=NaN","layer":0}]}
{"id":6,"expression_no_base_symbol":"(⫓⪴(($4154$∲⫓$1196$)⨰($1273$⨸⪁$7163$)))-($2770$⊉≛↸$1767$)⨟⋌⩍($1689$⊉≛↸$2175$)-($1806$∼$3569$≦≮≮)","expression":"(⫓⪴((⊺⇮4154∲⫓⊺⇮1196)⨰(⊺⇮1273⨸⪁⊺⇮7163)))-(⊺⇮2770⊉≛↸⊺⇮1767)⨟⋌⩍(⊺⇮1689⊉≛↸⊺⇮2175)-(⊺⇮1806∼⊺⇮3569≦≮≮)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":16920,"operation_count":11,"complexity_ratio":1538.1818181818182,"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":4154,"base":10},"right_expr":{"type":"numeric_atoms","value":1196,"base":10}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1273,"base":10},"right_expr":{"type":"numeric_atoms","value":7163,"base":10}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2770,"base":10},"right_expr":{"type":"numeric_atoms","value":1767,"base":10}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1689,"base":10},"right_expr":{"type":"numeric_atoms","value":2175,"base":10}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1806,"base":10},"right_expr":{"type":"numeric_atoms","value":3569,"base":10}}}}},"used_operators":["rysDP5nf3Z","eLxqMNBOBk","eewbuw0ToL","i8ToyICDmI","g55IO6H4Gj","rGHVDoGpnC","DZ8iAZOCBD","D4vGDi5EA2","DyGG3AbaNP"],"dependent_operators":["9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4154","layer":4},{"info":"number node, value=1196","layer":4},{"info":"compute binary expreesion, left_input=4154, right_input=1196, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1273","layer":4},{"info":"number node, value=7163","layer":4},{"info":"compute binary expreesion, left_input=1273, right_input=7163, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=16872","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=16872, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-16862","layer":2},{"info":"compute unary expreesion, input=-16862, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=284327044","layer":1},{"info":"number node, value=2770","layer":4},{"info":"number node, value=1767","layer":4},{"info":"compute binary expreesion, left_input=2770, right_input=1767, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5540","layer":3},{"info":"number node, value=1689","layer":4},{"info":"number node, value=2175","layer":4},{"info":"compute binary expreesion, left_input=1689, right_input=2175, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3378","layer":3},{"info":"compute binary expreesion, left_input=5540, right_input=3378, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1806","layer":4},{"info":"number node, value=3569","layer":4},{"info":"compute binary expreesion, left_input=1806, right_input=3569, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":2},{"info":"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=284327044, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⫓⪴((⊺⇮4154∲⫓⊺⇮1196)⨰(⊺⇮1273⨸⪁⊺⇮7163)))-(⊺⇮2770⊉≛↸⊺⇮1767)⨟⋌⩍(⊺⇮1689⊉≛↸⊺⇮2175)-(⊺⇮1806∼⊺⇮3569≦≮≮)=NaN","reverse_text":"NaN=(⫓⪴((⊺⇮4154∲⫓⊺⇮1196)⨰(⊺⇮1273⨸⪁⊺⇮7163)))-(⊺⇮2770⊉≛↸⊺⇮1767)⨟⋌⩍(⊺⇮1689⊉≛↸⊺⇮2175)-(⊺⇮1806∼⊺⇮3569≦≮≮)","cot":[{"info":"⊺⇮4154∲⫓⊺⇮1196=⊺⇮0","layer":3},{"info":"⊺⇮1273⨸⪁⊺⇮7163=⊺⇮16872","layer":3},{"info":"⊺⇮0⨰⊺⇮16872=⊺⇮-16862","layer":2},{"info":"⫓⪴⊺⇮-16862=⊺⇮284327044","layer":1},{"info":"⊺⇮2770⊉≛↸⊺⇮1767=⊺⇮5540","layer":3},{"info":"⊺⇮1689⊉≛↸⊺⇮2175=⊺⇮3378","layer":3},{"info":"⊺⇮5540⨟⋌⩍⊺⇮3378=NaN","layer":2},{"info":"⊺⇮1806∼⊺⇮3569=NaN","layer":3},{"info":"NaN≦≮≮=NaN","layer":2},{"info":"NaN-NaN=NaN","layer":1},{"info":"⊺⇮284327044-NaN=NaN","layer":0}]}
{"id":7,"expression_no_base_symbol":"(($7490$⋝⋈⪟$7769$⋷$3507$⪒$3666$)∲⫓(⨑⩽⪐(⪝⪂⫅$3619$)))≫≃","expression":"((⊺⇮7490⋝⋈⪟⊺⇮7769⋷⊺⇮3507⪒⊺⇮3666)∲⫓(⨑⩽⪐(⪝⪂⫅⊺⇮3619)))≫≃","highest_n_order":2,"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":7490,"base":10},"right_expr":{"type":"numeric_atoms","value":7769,"base":10}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3507,"base":10},"right_expr":{"type":"numeric_atoms","value":3666,"base":10}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":3619,"base":10}}}}},"used_operators":["X99M06cbEe","i8ToyICDmI","23Mk6UjR3U","2DDjHMKMc0","f6k1SAg4EE","AF7qkfDlqP","XTarYq4gQB"],"dependent_operators":["2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","9HNa5Wba9A","8w2t5hMYqp"],"result":"⊺⇮1401","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7490","layer":4},{"info":"number node, value=7769","layer":4},{"info":"compute binary expreesion, left_input=7490, right_input=7769, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=7490","layer":3},{"info":"number node, value=3507","layer":4},{"info":"number node, value=3666","layer":4},{"info":"compute binary expreesion, left_input=3507, right_input=3666, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7173","layer":3},{"info":"compute binary expreesion, left_input=7490, right_input=-7173, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-21836","layer":2},{"info":"number node, value=3619","layer":4},{"info":"compute unary expreesion, input=3619, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-531993","layer":3},{"info":"compute unary expreesion, input=-531993, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=1064775","layer":2},{"info":"compute binary expreesion, left_input=-21836, right_input=1064775, 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 = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=1401","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮7490⋝⋈⪟⊺⇮7769⋷⊺⇮3507⪒⊺⇮3666)∲⫓(⨑⩽⪐(⪝⪂⫅⊺⇮3619)))≫≃=⊺⇮1401","reverse_text":"⊺⇮1401=((⊺⇮7490⋝⋈⪟⊺⇮7769⋷⊺⇮3507⪒⊺⇮3666)∲⫓(⨑⩽⪐(⪝⪂⫅⊺⇮3619)))≫≃","cot":[{"info":"⊺⇮7490⋝⋈⪟⊺⇮7769=⊺⇮7490","layer":3},{"info":"⊺⇮3507⪒⊺⇮3666=⊺⇮-7173","layer":3},{"info":"⊺⇮7490⋷⊺⇮-7173=⊺⇮-21836","layer":2},{"info":"⪝⪂⫅⊺⇮3619=⊺⇮-531993","layer":3},{"info":"⨑⩽⪐⊺⇮-531993=⊺⇮1064775","layer":2},{"info":"⊺⇮-21836∲⫓⊺⇮1064775=⊺⇮0","layer":1},{"info":"⊺⇮0≫≃=⊺⇮1401","layer":0}]}
{"id":8,"expression_no_base_symbol":"(⊄⩳↩$6354$∼$2472$)⪛(($2856$⫡⨏$1548$)≎⊠⪸$3240$⋓$2687$)⨐⩸⫘(($2836$⫩⊇)%($1953$⋷$1047$))⊴(($2540$⋳⪒$4122$)⪛($4634$⇼⇔∾$1342$))","expression":"(⊄⩳↩⊺⇮6354∼⊺⇮2472)⪛((⊺⇮2856⫡⨏⊺⇮1548)≎⊠⪸⊺⇮3240⋓⊺⇮2687)⨐⩸⫘((⊺⇮2836⫩⊇)%(⊺⇮1953⋷⊺⇮1047))⊴((⊺⇮2540⋳⪒⊺⇮4122)⪛(⊺⇮4634⇼⇔∾⊺⇮1342))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3088,"operation_count":14,"complexity_ratio":220.57142857142858,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":6354,"base":10},"right_expr":{"type":"numeric_atoms","value":2472,"base":10}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2856,"base":10},"right_expr":{"type":"numeric_atoms","value":1548,"base":10}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3240,"base":10},"right_expr":{"type":"numeric_atoms","value":2687,"base":10}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":2836,"base":10}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1953,"base":10},"right_expr":{"type":"numeric_atoms","value":1047,"base":10}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2540,"base":10},"right_expr":{"type":"numeric_atoms","value":4122,"base":10}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":4634,"base":10},"right_expr":{"type":"numeric_atoms","value":1342,"base":10}}}}},"used_operators":["fu6greOZ01","uFcxV4UQCh","8w2t5hMYqp","DyGG3AbaNP","bJkvcejdHO","QMFrweE19q","T2fj7uvVaJ","Nsiff2A1zJ","k8jYdgA6NY","BjRHVeLaeN","23Mk6UjR3U","12rbrZMWeM","tifHPKVTfV"],"dependent_operators":["3ViojmjbAp","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6354","layer":4},{"info":"number node, value=2472","layer":4},{"info":"compute binary expreesion, left_input=6354, right_input=2472, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":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=2856","layer":4},{"info":"number node, value=1548","layer":4},{"info":"compute binary expreesion, left_input=2856, right_input=1548, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=18159","layer":3},{"info":"number node, value=3240","layer":4},{"info":"number node, value=2687","layer":4},{"info":"compute binary expreesion, left_input=3240, right_input=2687, op_id = T2fj7uvVaJ binary_op_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=18159, right_input=0, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=4702708","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4702708, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"number node, value=2836","layer":4},{"info":"compute unary expreesion, input=2836, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-2794","layer":3},{"info":"number node, value=1953","layer":4},{"info":"number node, value=1047","layer":4},{"info":"compute binary expreesion, left_input=1953, right_input=1047, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=141","layer":3},{"info":"compute binary expreesion, left_input=-2794, right_input=141, op_id = k8jYdgA6NY binary_op_definition= 'None', output=26","layer":2},{"info":"number node, value=2540","layer":4},{"info":"number node, value=4122","layer":4},{"info":"compute binary expreesion, left_input=2540, right_input=4122, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=671","layer":3},{"info":"number node, value=4634","layer":4},{"info":"number node, value=1342","layer":4},{"info":"compute binary expreesion, left_input=4634, right_input=1342, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-3292","layer":3},{"info":"compute binary expreesion, left_input=671, right_input=-3292, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-2621","layer":2},{"info":"compute binary expreesion, left_input=26, right_input=-2621, 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 = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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":10,"result_base":10,"text":"(⊄⩳↩⊺⇮6354∼⊺⇮2472)⪛((⊺⇮2856⫡⨏⊺⇮1548)≎⊠⪸⊺⇮3240⋓⊺⇮2687)⨐⩸⫘((⊺⇮2836⫩⊇)%(⊺⇮1953⋷⊺⇮1047))⊴((⊺⇮2540⋳⪒⊺⇮4122)⪛(⊺⇮4634⇼⇔∾⊺⇮1342))=NaN","reverse_text":"NaN=(⊄⩳↩⊺⇮6354∼⊺⇮2472)⪛((⊺⇮2856⫡⨏⊺⇮1548)≎⊠⪸⊺⇮3240⋓⊺⇮2687)⨐⩸⫘((⊺⇮2836⫩⊇)%(⊺⇮1953⋷⊺⇮1047))⊴((⊺⇮2540⋳⪒⊺⇮4122)⪛(⊺⇮4634⇼⇔∾⊺⇮1342))","cot":[{"info":"⊺⇮6354∼⊺⇮2472=NaN","layer":3},{"info":"⊄⩳↩NaN=NaN","layer":2},{"info":"⊺⇮2856⫡⨏⊺⇮1548=⊺⇮18159","layer":3},{"info":"⊺⇮3240⋓⊺⇮2687=⊺⇮0","layer":3},{"info":"⊺⇮18159≎⊠⪸⊺⇮0=⊺⇮4702708","layer":2},{"info":"NaN⪛⊺⇮4702708=NaN","layer":1},{"info":"⊺⇮2836⫩⊇=⊺⇮-2794","layer":3},{"info":"⊺⇮1953⋷⊺⇮1047=⊺⇮141","layer":3},{"info":"⊺⇮-2794%⊺⇮141=⊺⇮26","layer":2},{"info":"⊺⇮2540⋳⪒⊺⇮4122=⊺⇮671","layer":3},{"info":"⊺⇮4634⇼⇔∾⊺⇮1342=⊺⇮-3292","layer":3},{"info":"⊺⇮671⪛⊺⇮-3292=⊺⇮-2621","layer":2},{"info":"⊺⇮26⊴⊺⇮-2621=NaN","layer":1},{"info":"NaN⨐⩸⫘NaN=NaN","layer":0}]}
{"id":9,"expression_no_base_symbol":"(($3761$⊴$1109$/($3622$⇋≉))-$1451$↬$6502$↙(⇁⨣⪵$1001$))⪒((≤/$3153$≧⫂∧$1101$)⊘)","expression":"((⊺⇮3761⊴⊺⇮1109/(⊺⇮3622⇋≉))-⊺⇮1451↬⊺⇮6502↙(⇁⨣⪵⊺⇮1001))⪒((≤/⊺⇮3153≧⫂∧⊺⇮1101)⊘)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5870,"operation_count":11,"complexity_ratio":533.6363636363636,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3761,"base":10},"right_expr":{"type":"numeric_atoms","value":1109,"base":10}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":3622,"base":10}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1451,"base":10},"right_expr":{"type":"numeric_atoms","value":6502,"base":10}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1001,"base":10}}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3153,"base":10},"right_expr":{"type":"numeric_atoms","value":1101,"base":10}}}}},"used_operators":["f6k1SAg4EE","rysDP5nf3Z","XhwjNDsVaA","Nsiff2A1zJ","XIabStNQrY","yyfyN0ffXY","B5M0gjZbta","inkyxCbjAn","gu96TGCTMs","eLAdDNolq6","Ph9nP6C5qx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rGHVDoGpnC","B5M0gjZbta","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3761","layer":4},{"info":"number node, value=1109","layer":4},{"info":"compute binary expreesion, left_input=3761, right_input=1109, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=3622","layer":4},{"info":"compute unary expreesion, input=3622, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=7146","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7146, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1451","layer":4},{"info":"number node, value=6502","layer":4},{"info":"compute binary expreesion, left_input=1451, right_input=6502, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1001","layer":4},{"info":"compute unary expreesion, input=1001, 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 = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=3153","layer":4},{"info":"number node, value=1101","layer":4},{"info":"compute binary expreesion, left_input=3153, right_input=1101, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=628","layer":3},{"info":"compute unary expreesion, input=628, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-144","layer":2},{"info":"compute unary expreesion, input=-144, 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 = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮3761⊴⊺⇮1109/(⊺⇮3622⇋≉))-⊺⇮1451↬⊺⇮6502↙(⇁⨣⪵⊺⇮1001))⪒((≤/⊺⇮3153≧⫂∧⊺⇮1101)⊘)=NaN","reverse_text":"NaN=((⊺⇮3761⊴⊺⇮1109/(⊺⇮3622⇋≉))-⊺⇮1451↬⊺⇮6502↙(⇁⨣⪵⊺⇮1001))⪒((≤/⊺⇮3153≧⫂∧⊺⇮1101)⊘)","cot":[{"info":"⊺⇮3761⊴⊺⇮1109=NaN","layer":3},{"info":"⊺⇮3622⇋≉=⊺⇮7146","layer":3},{"info":"NaN/⊺⇮7146=NaN","layer":2},{"info":"⊺⇮1451↬⊺⇮6502=NaN","layer":3},{"info":"⇁⨣⪵⊺⇮1001=NaN","layer":3},{"info":"NaN↙NaN=NaN","layer":2},{"info":"NaN-NaN=NaN","layer":1},{"info":"⊺⇮3153≧⫂∧⊺⇮1101=⊺⇮628","layer":3},{"info":"≤/⊺⇮628=⊺⇮-144","layer":2},{"info":"⊺⇮-144⊘=⊺⇮0","layer":1},{"info":"NaN⪒⊺⇮0=NaN","layer":0}]}
{"id":10,"expression_no_base_symbol":"($1104$⊴$1091$⨵⪆$2814$⩷∴$2616$)⨎(($5189$≫≃)⊘)*(($1151$⨎$6191$∲⫓$3341$⫥∨⫟$3240$)⩨($4518$↬$1043$⨵⪆(≦∁$2169$)))","expression":"(⊺⇮1104⊴⊺⇮1091⨵⪆⊺⇮2814⩷∴⊺⇮2616)⨎((⊺⇮5189≫≃)⊘)*((⊺⇮1151⨎⊺⇮6191∲⫓⊺⇮3341⫥∨⫟⊺⇮3240)⩨(⊺⇮4518↬⊺⇮1043⨵⪆(≦∁⊺⇮2169)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1470,"operation_count":14,"complexity_ratio":105.0,"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":1104,"base":10},"right_expr":{"type":"numeric_atoms","value":1091,"base":10}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2814,"base":10},"right_expr":{"type":"numeric_atoms","value":2616,"base":10}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":5189,"base":10}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1151,"base":10},"right_expr":{"type":"numeric_atoms","value":6191,"base":10}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3341,"base":10},"right_expr":{"type":"numeric_atoms","value":3240,"base":10}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4518,"base":10},"right_expr":{"type":"numeric_atoms","value":1043,"base":10}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2169,"base":10}}}}},"used_operators":["9HNa5Wba9A","rJVOvQCfKK","2DQ55sFlQl","Nsiff2A1zJ","9FxExcQeMw","gu96TGCTMs","X99M06cbEe","2DlMacCsIx","i8ToyICDmI","KYD54nUTWz","B5M0gjZbta","9ICcGScMcE"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rGHVDoGpnC","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1104","layer":4},{"info":"number node, value=1091","layer":4},{"info":"compute binary expreesion, left_input=1104, right_input=1091, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=2814","layer":4},{"info":"number node, value=2616","layer":4},{"info":"compute binary expreesion, left_input=2814, right_input=2616, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=364","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=364, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=5189","layer":4},{"info":"compute unary expreesion, input=5189, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=11779","layer":3},{"info":"compute unary expreesion, input=11779, 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=160, right_input=0, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=0","layer":1},{"info":"number node, value=1151","layer":4},{"info":"number node, value=6191","layer":4},{"info":"compute binary expreesion, left_input=1151, right_input=6191, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=6191","layer":3},{"info":"number node, value=3341","layer":4},{"info":"number node, value=3240","layer":4},{"info":"compute binary expreesion, left_input=3341, right_input=3240, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=6191, 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=4518","layer":4},{"info":"number node, value=1043","layer":4},{"info":"compute binary expreesion, left_input=4518, 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=2169","layer":4},{"info":"compute unary expreesion, input=2169, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2169","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2169, 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 = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1104⊴⊺⇮1091⨵⪆⊺⇮2814⩷∴⊺⇮2616)⨎((⊺⇮5189≫≃)⊘)*((⊺⇮1151⨎⊺⇮6191∲⫓⊺⇮3341⫥∨⫟⊺⇮3240)⩨(⊺⇮4518↬⊺⇮1043⨵⪆(≦∁⊺⇮2169)))=NaN","reverse_text":"NaN=(⊺⇮1104⊴⊺⇮1091⨵⪆⊺⇮2814⩷∴⊺⇮2616)⨎((⊺⇮5189≫≃)⊘)*((⊺⇮1151⨎⊺⇮6191∲⫓⊺⇮3341⫥∨⫟⊺⇮3240)⩨(⊺⇮4518↬⊺⇮1043⨵⪆(≦∁⊺⇮2169)))","cot":[{"info":"⊺⇮1104⊴⊺⇮1091=NaN","layer":3},{"info":"⊺⇮2814⩷∴⊺⇮2616=⊺⇮364","layer":3},{"info":"NaN⨵⪆⊺⇮364=⊺⇮160","layer":2},{"info":"⊺⇮5189≫≃=⊺⇮11779","layer":3},{"info":"⊺⇮11779⊘=⊺⇮0","layer":2},{"info":"⊺⇮160⨎⊺⇮0=⊺⇮0","layer":1},{"info":"⊺⇮1151⨎⊺⇮6191=⊺⇮6191","layer":3},{"info":"⊺⇮3341⫥∨⫟⊺⇮3240=NaN","layer":3},{"info":"⊺⇮6191∲⫓NaN=NaN","layer":2},{"info":"⊺⇮4518↬⊺⇮1043=NaN","layer":3},{"info":"≦∁⊺⇮2169=⊺⇮2169","layer":3},{"info":"NaN⨵⪆⊺⇮2169=⊺⇮160","layer":2},{"info":"NaN⩨⊺⇮160=NaN","layer":1},{"info":"⊺⇮0*NaN=NaN","layer":0}]}
{"id":11,"expression_no_base_symbol":"⨰⫟⨤(((≦∁$2390$)∲⫓$4725$⋓$2052$)≭($1304$⋳⪒$5347$)⨓$3881$≹⇙⪍$1251$)","expression":"⨰⫟⨤(((≦∁⊺⇮2390)∲⫓⊺⇮4725⋓⊺⇮2052)≭(⊺⇮1304⋳⪒⊺⇮5347)⨓⊺⇮3881≹⇙⪍⊺⇮1251)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":60,"operation_count":8,"complexity_ratio":7.5,"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":2390,"base":10}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4725,"base":10},"right_expr":{"type":"numeric_atoms","value":2052,"base":10}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1304,"base":10},"right_expr":{"type":"numeric_atoms","value":5347,"base":10}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3881,"base":10},"right_expr":{"type":"numeric_atoms","value":1251,"base":10}}}}},"used_operators":["Tw270M8GLb","rxpJgHHUmx","i8ToyICDmI","9ICcGScMcE","T2fj7uvVaJ","3ViojmjbAp","12rbrZMWeM","AHs5Up7iyr"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2390","layer":4},{"info":"compute unary expreesion, input=2390, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2390","layer":3},{"info":"number node, value=4725","layer":4},{"info":"number node, value=2052","layer":4},{"info":"compute binary expreesion, left_input=4725, right_input=2052, op_id = T2fj7uvVaJ binary_op_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=2390, right_input=0, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=2390","layer":2},{"info":"number node, value=1304","layer":4},{"info":"number node, value=5347","layer":4},{"info":"compute binary expreesion, left_input=1304, right_input=5347, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-3026","layer":3},{"info":"number node, value=3881","layer":4},{"info":"number node, value=1251","layer":4},{"info":"compute binary expreesion, left_input=3881, right_input=1251, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=-3026, 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=2390, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⨰⫟⨤(((≦∁⊺⇮2390)∲⫓⊺⇮4725⋓⊺⇮2052)≭(⊺⇮1304⋳⪒⊺⇮5347)⨓⊺⇮3881≹⇙⪍⊺⇮1251)=NaN","reverse_text":"NaN=⨰⫟⨤(((≦∁⊺⇮2390)∲⫓⊺⇮4725⋓⊺⇮2052)≭(⊺⇮1304⋳⪒⊺⇮5347)⨓⊺⇮3881≹⇙⪍⊺⇮1251)","cot":[{"info":"≦∁⊺⇮2390=⊺⇮2390","layer":3},{"info":"⊺⇮4725⋓⊺⇮2052=⊺⇮0","layer":3},{"info":"⊺⇮2390∲⫓⊺⇮0=⊺⇮2390","layer":2},{"info":"⊺⇮1304⋳⪒⊺⇮5347=⊺⇮-3026","layer":3},{"info":"⊺⇮3881≹⇙⪍⊺⇮1251=NaN","layer":3},{"info":"⊺⇮-3026⨓NaN=NaN","layer":2},{"info":"⊺⇮2390≭NaN=NaN","layer":1},{"info":"⨰⫟⨤NaN=NaN","layer":0}]}
{"id":12,"expression_no_base_symbol":"(($3024$⩚⊴⇥$1130$+⇶⊼(⫓⪴$4841$))⪛($1650$∑⇟⊟$4051$⨎$1765$∑⇟⊟$6028$))⪮%⊝(⊥(($3813$⨵⪆$8305$)⨐⩸⫘(≉$1413$)))","expression":"((⊺⇮3024⩚⊴⇥⊺⇮1130+⇶⊼(⫓⪴⊺⇮4841))⪛(⊺⇮1650∑⇟⊟⊺⇮4051⨎⊺⇮1765∑⇟⊟⊺⇮6028))⪮%⊝(⊥((⊺⇮3813⨵⪆⊺⇮8305)⨐⩸⫘(≉⊺⇮1413)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4866,"operation_count":12,"complexity_ratio":405.5,"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":3024,"base":10},"right_expr":{"type":"numeric_atoms","value":1130,"base":10}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":4841,"base":10}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1650,"base":10},"right_expr":{"type":"numeric_atoms","value":4051,"base":10}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1765,"base":10},"right_expr":{"type":"numeric_atoms","value":6028,"base":10}}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3813,"base":10},"right_expr":{"type":"numeric_atoms","value":8305,"base":10}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1413,"base":10}}}}},"used_operators":["IWmyXbctLI","uFcxV4UQCh","TpPTUOHfaN","NTOWxs364D","eLxqMNBOBk","rJVOvQCfKK","U7g4x0WXJJ","Q3PJZHRvZv","fu6greOZ01","2DQ55sFlQl","e1ybzncUwg"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","fu6greOZ01","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3024","layer":4},{"info":"number node, value=1130","layer":4},{"info":"compute binary expreesion, left_input=3024, right_input=1130, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4275","layer":3},{"info":"number node, value=4841","layer":4},{"info":"compute unary expreesion, input=4841, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=23435281","layer":3},{"info":"compute binary expreesion, left_input=-4275, right_input=23435281, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=1650","layer":4},{"info":"number node, value=4051","layer":4},{"info":"compute binary expreesion, left_input=1650, right_input=4051, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1765","layer":4},{"info":"number node, value=6028","layer":4},{"info":"compute binary expreesion, left_input=1765, right_input=6028, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":2},{"info":"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=3813","layer":4},{"info":"number node, value=8305","layer":4},{"info":"compute binary expreesion, left_input=3813, right_input=8305, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1413","layer":4},{"info":"compute unary expreesion, input=1413, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1944","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=1944, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (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":10,"result_base":10,"text":"((⊺⇮3024⩚⊴⇥⊺⇮1130+⇶⊼(⫓⪴⊺⇮4841))⪛(⊺⇮1650∑⇟⊟⊺⇮4051⨎⊺⇮1765∑⇟⊟⊺⇮6028))⪮%⊝(⊥((⊺⇮3813⨵⪆⊺⇮8305)⨐⩸⫘(≉⊺⇮1413)))=NaN","reverse_text":"NaN=((⊺⇮3024⩚⊴⇥⊺⇮1130+⇶⊼(⫓⪴⊺⇮4841))⪛(⊺⇮1650∑⇟⊟⊺⇮4051⨎⊺⇮1765∑⇟⊟⊺⇮6028))⪮%⊝(⊥((⊺⇮3813⨵⪆⊺⇮8305)⨐⩸⫘(≉⊺⇮1413)))","cot":[{"info":"⊺⇮3024⩚⊴⇥⊺⇮1130=⊺⇮-4275","layer":3},{"info":"⫓⪴⊺⇮4841=⊺⇮23435281","layer":3},{"info":"⊺⇮-4275+⇶⊼⊺⇮23435281=NaN","layer":2},{"info":"⊺⇮1650∑⇟⊟⊺⇮4051=NaN","layer":3},{"info":"⊺⇮1765∑⇟⊟⊺⇮6028=NaN","layer":3},{"info":"NaN⨎NaN=NaN","layer":2},{"info":"NaN⪛NaN=NaN","layer":1},{"info":"⊺⇮3813⨵⪆⊺⇮8305=⊺⇮160","layer":3},{"info":"≉⊺⇮1413=⊺⇮1944","layer":3},{"info":"⊺⇮160⨐⩸⫘⊺⇮1944=NaN","layer":2},{"info":"⊥NaN=NaN","layer":1},{"info":"NaN⪮%⊝NaN=NaN","layer":0}]}
{"id":13,"expression_no_base_symbol":"∂((↩($2185$∲⫓$4923$))⩨($1846$⩚⊴⇥$5170$)⩷∴($2290$-$3844$))","expression":"∂((↩(⊺⇮2185∲⫓⊺⇮4923))⩨(⊺⇮1846⩚⊴⇥⊺⇮5170)⩷∴(⊺⇮2290-⊺⇮3844))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":453,"operation_count":7,"complexity_ratio":64.71428571428571,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2185,"base":10},"right_expr":{"type":"numeric_atoms","value":4923,"base":10}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1846,"base":10},"right_expr":{"type":"numeric_atoms","value":5170,"base":10}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2290,"base":10},"right_expr":{"type":"numeric_atoms","value":3844,"base":10}}}}},"used_operators":["Uaa54Peajs","2DlMacCsIx","jLgFTUHLKL","i8ToyICDmI","9FxExcQeMw","NTOWxs364D","rysDP5nf3Z"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⊺⇮-273","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2185","layer":4},{"info":"number node, value=4923","layer":4},{"info":"compute binary expreesion, left_input=2185, right_input=4923, 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":"number node, value=1846","layer":4},{"info":"number node, value=5170","layer":4},{"info":"compute binary expreesion, left_input=1846, right_input=5170, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7137","layer":3},{"info":"number node, value=2290","layer":4},{"info":"number node, value=3844","layer":4},{"info":"compute binary expreesion, left_input=2290, right_input=3844, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1554","layer":3},{"info":"compute binary expreesion, left_input=-7137, right_input=-1554, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-11198","layer":2},{"info":"compute binary expreesion, left_input=4844, right_input=-11198, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=9","layer":1},{"info":"compute unary expreesion, input=9, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=-273","layer":0}],"base":10,"result_base":10,"text":"∂((↩(⊺⇮2185∲⫓⊺⇮4923))⩨(⊺⇮1846⩚⊴⇥⊺⇮5170)⩷∴(⊺⇮2290-⊺⇮3844))=⊺⇮-273","reverse_text":"⊺⇮-273=∂((↩(⊺⇮2185∲⫓⊺⇮4923))⩨(⊺⇮1846⩚⊴⇥⊺⇮5170)⩷∴(⊺⇮2290-⊺⇮3844))","cot":[{"info":"⊺⇮2185∲⫓⊺⇮4923=⊺⇮0","layer":3},{"info":"↩⊺⇮0=⊺⇮4844","layer":2},{"info":"⊺⇮1846⩚⊴⇥⊺⇮5170=⊺⇮-7137","layer":3},{"info":"⊺⇮2290-⊺⇮3844=⊺⇮-1554","layer":3},{"info":"⊺⇮-7137⩷∴⊺⇮-1554=⊺⇮-11198","layer":2},{"info":"⊺⇮4844⩨⊺⇮-11198=⊺⇮9","layer":1},{"info":"∂⊺⇮9=⊺⇮-273","layer":0}]}
{"id":14,"expression_no_base_symbol":"((⨰⫟⨤($2683$%$6266$))⊭↱(($3088$-$2546$)*$2375$⨪↰⇹$1281$))+⇶⊼((↣≠⋷$1008$)⇼⇔∾($5815$⊭↱$6883$)⪨≂(≉($4640$≦≮≮)))","expression":"((⨰⫟⨤(⊺⇮2683%⊺⇮6266))⊭↱((⊺⇮3088-⊺⇮2546)*⊺⇮2375⨪↰⇹⊺⇮1281))+⇶⊼((↣≠⋷⊺⇮1008)⇼⇔∾(⊺⇮5815⊭↱⊺⇮6883)⪨≂(≉(⊺⇮4640≦≮≮)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":12838,"operation_count":13,"complexity_ratio":987.5384615384615,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2683,"base":10},"right_expr":{"type":"numeric_atoms","value":6266,"base":10}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3088,"base":10},"right_expr":{"type":"numeric_atoms","value":2546,"base":10}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2375,"base":10},"right_expr":{"type":"numeric_atoms","value":1281,"base":10}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1008,"base":10}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":5815,"base":10},"right_expr":{"type":"numeric_atoms","value":6883,"base":10}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":4640,"base":10}}}}},"used_operators":["TpPTUOHfaN","COABgblf1C","Tw270M8GLb","k8jYdgA6NY","9HNa5Wba9A","rysDP5nf3Z","tmPS8pqC7x","sdazOOVcIp","tifHPKVTfV","Asc51vEJeQ","e1ybzncUwg","D4vGDi5EA2"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","W4YGzv6Whe","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2683","layer":4},{"info":"number node, value=6266","layer":4},{"info":"compute binary expreesion, left_input=2683, right_input=6266, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2683","layer":3},{"info":"compute unary expreesion, input=2683, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=3088","layer":4},{"info":"number node, value=2546","layer":4},{"info":"compute binary expreesion, left_input=3088, right_input=2546, op_id = rysDP5nf3Z binary_op_definition= 'None', output=542","layer":3},{"info":"number node, value=2375","layer":4},{"info":"number node, value=1281","layer":4},{"info":"compute binary expreesion, left_input=2375, right_input=1281, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2375","layer":3},{"info":"compute binary expreesion, left_input=542, right_input=2375, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=1287250","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1287250, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"number node, value=1008","layer":4},{"info":"compute unary expreesion, input=1008, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=5815","layer":4},{"info":"number node, value=6883","layer":4},{"info":"compute binary expreesion, left_input=5815, right_input=6883, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=2141","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2141, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"number node, value=4640","layer":4},{"info":"compute unary expreesion, input=4640, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-13920","layer":3},{"info":"compute unary expreesion, input=-13920, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-13920","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-13920, op_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":10,"result_base":10,"text":"((⨰⫟⨤(⊺⇮2683%⊺⇮6266))⊭↱((⊺⇮3088-⊺⇮2546)*⊺⇮2375⨪↰⇹⊺⇮1281))+⇶⊼((↣≠⋷⊺⇮1008)⇼⇔∾(⊺⇮5815⊭↱⊺⇮6883)⪨≂(≉(⊺⇮4640≦≮≮)))=NaN","reverse_text":"NaN=((⨰⫟⨤(⊺⇮2683%⊺⇮6266))⊭↱((⊺⇮3088-⊺⇮2546)*⊺⇮2375⨪↰⇹⊺⇮1281))+⇶⊼((↣≠⋷⊺⇮1008)⇼⇔∾(⊺⇮5815⊭↱⊺⇮6883)⪨≂(≉(⊺⇮4640≦≮≮)))","cot":[{"info":"⊺⇮2683%⊺⇮6266=⊺⇮2683","layer":3},{"info":"⨰⫟⨤⊺⇮2683=NaN","layer":2},{"info":"⊺⇮3088-⊺⇮2546=⊺⇮542","layer":3},{"info":"⊺⇮2375⨪↰⇹⊺⇮1281=⊺⇮2375","layer":3},{"info":"⊺⇮542*⊺⇮2375=⊺⇮1287250","layer":2},{"info":"NaN⊭↱⊺⇮1287250=NaN","layer":1},{"info":"↣≠⋷⊺⇮1008=NaN","layer":3},{"info":"⊺⇮5815⊭↱⊺⇮6883=⊺⇮2141","layer":3},{"info":"NaN⇼⇔∾⊺⇮2141=NaN","layer":2},{"info":"⊺⇮4640≦≮≮=⊺⇮-13920","layer":3},{"info":"≉⊺⇮-13920=⊺⇮-13920","layer":2},{"info":"NaN⪨≂⊺⇮-13920=NaN","layer":1},{"info":"NaN+⇶⊼NaN=NaN","layer":0}]}
{"id":15,"expression_no_base_symbol":"(≉$5261$≹⇙⪍$6598$)⨽(⋗⩬⋾($3312$⫸⊐$2736$))-(($4892$⊘)⪄$4409$⩷∴$3568$)⨐⩸⫘(($1143$⨵⪆$3130$)∧)","expression":"(≉⊺⇮5261≹⇙⪍⊺⇮6598)⨽(⋗⩬⋾(⊺⇮3312⫸⊐⊺⇮2736))-((⊺⇮4892⊘)⪄⊺⇮4409⩷∴⊺⇮3568)⨐⩸⫘((⊺⇮1143⨵⪆⊺⇮3130)∧)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":96,"operation_count":12,"complexity_ratio":8.0,"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":5261,"base":10},"right_expr":{"type":"numeric_atoms","value":6598,"base":10}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3312,"base":10},"right_expr":{"type":"numeric_atoms","value":2736,"base":10}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":4892,"base":10}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4409,"base":10},"right_expr":{"type":"numeric_atoms","value":3568,"base":10}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1143,"base":10},"right_expr":{"type":"numeric_atoms","value":3130,"base":10}}}}},"used_operators":["rysDP5nf3Z","8HhzD0ZcuI","e1ybzncUwg","AHs5Up7iyr","DpFCA1CohY","mqXw5SEYmG","fu6greOZ01","SUmda5xLS4","gu96TGCTMs","9FxExcQeMw","z63VuFQld9","2DQ55sFlQl"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","3ViojmjbAp","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5261","layer":4},{"info":"number node, value=6598","layer":4},{"info":"compute binary expreesion, left_input=5261, right_input=6598, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":2},{"info":"number node, value=3312","layer":4},{"info":"number node, value=2736","layer":4},{"info":"compute binary expreesion, left_input=3312, right_input=2736, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=10819","layer":3},{"info":"compute unary expreesion, input=10819, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-32457","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-32457, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"number node, value=4892","layer":4},{"info":"compute unary expreesion, input=4892, 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=4409","layer":4},{"info":"number node, value=3568","layer":4},{"info":"compute binary expreesion, left_input=4409, right_input=3568, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1650","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1650, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-2689","layer":2},{"info":"number node, value=1143","layer":4},{"info":"number node, value=3130","layer":4},{"info":"compute binary expreesion, left_input=1143, right_input=3130, 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 = 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=-2689, 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 = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":10,"result_base":10,"text":"(≉⊺⇮5261≹⇙⪍⊺⇮6598)⨽(⋗⩬⋾(⊺⇮3312⫸⊐⊺⇮2736))-((⊺⇮4892⊘)⪄⊺⇮4409⩷∴⊺⇮3568)⨐⩸⫘((⊺⇮1143⨵⪆⊺⇮3130)∧)=NaN","reverse_text":"NaN=(≉⊺⇮5261≹⇙⪍⊺⇮6598)⨽(⋗⩬⋾(⊺⇮3312⫸⊐⊺⇮2736))-((⊺⇮4892⊘)⪄⊺⇮4409⩷∴⊺⇮3568)⨐⩸⫘((⊺⇮1143⨵⪆⊺⇮3130)∧)","cot":[{"info":"⊺⇮5261≹⇙⪍⊺⇮6598=NaN","layer":3},{"info":"≉NaN=NaN","layer":2},{"info":"⊺⇮3312⫸⊐⊺⇮2736=⊺⇮10819","layer":3},{"info":"⋗⩬⋾⊺⇮10819=⊺⇮-32457","layer":2},{"info":"NaN⨽⊺⇮-32457=NaN","layer":1},{"info":"⊺⇮4892⊘=⊺⇮0","layer":3},{"info":"⊺⇮4409⩷∴⊺⇮3568=⊺⇮1650","layer":3},{"info":"⊺⇮0⪄⊺⇮1650=⊺⇮-2689","layer":2},{"info":"⊺⇮1143⨵⪆⊺⇮3130=⊺⇮160","layer":3},{"info":"⊺⇮160∧=NaN","layer":2},{"info":"⊺⇮-2689⨐⩸⫘NaN=NaN","layer":1},{"info":"NaN-NaN=NaN","layer":0}]}
{"id":16,"expression_no_base_symbol":"(((⇁⨣⪵$4763$)⩷∴(+⊝⨔$2429$))∸)∀⇚≩((↥$5740$⋳⪒$2981$)⨳⩥⨓($1291$*$2811$-(∥⊫$1513$)))","expression":"(((⇁⨣⪵⊺⇮4763)⩷∴(+⊝⨔⊺⇮2429))∸)∀⇚≩((↥⊺⇮5740⋳⪒⊺⇮2981)⨳⩥⨓(⊺⇮1291*⊺⇮2811-(∥⊫⊺⇮1513)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2930,"operation_count":11,"complexity_ratio":266.3636363636364,"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":4763,"base":10}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2429,"base":10}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":5740,"base":10},"right_expr":{"type":"numeric_atoms","value":2981,"base":10}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1291,"base":10},"right_expr":{"type":"numeric_atoms","value":2811,"base":10}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1513,"base":10}}}}},"used_operators":["LRNGc0VcxI","o20kRiQErp","9FxExcQeMw","inkyxCbjAn","DhbWaqg5eL","nCS4ZIUYfx","A8NUZmVepG","12rbrZMWeM","rysDP5nf3Z","9HNa5Wba9A","P8v4zCKN1o"],"dependent_operators":["X99M06cbEe","tmPS8pqC7x","rysDP5nf3Z","B5M0gjZbta","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4763","layer":4},{"info":"compute unary expreesion, input=4763, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=2429","layer":4},{"info":"compute unary expreesion, input=2429, 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 = 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 = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"number node, value=5740","layer":4},{"info":"number node, value=2981","layer":4},{"info":"compute binary expreesion, left_input=5740, right_input=2981, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=8212","layer":3},{"info":"compute unary expreesion, input=8212, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=1","layer":2},{"info":"number node, value=1291","layer":4},{"info":"number node, value=2811","layer":4},{"info":"compute binary expreesion, left_input=1291, right_input=2811, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3629001","layer":3},{"info":"number node, value=1513","layer":4},{"info":"compute unary expreesion, input=1513, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2381","layer":3},{"info":"compute binary expreesion, left_input=3629001, right_input=2381, op_id = rysDP5nf3Z binary_op_definition= 'None', output=3626620","layer":2},{"info":"compute binary expreesion, left_input=1, right_input=3626620, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=3626619","layer":1},{"info":"compute binary expreesion, left_input=177, right_input=3626619, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":10,"result_base":10,"text":"(((⇁⨣⪵⊺⇮4763)⩷∴(+⊝⨔⊺⇮2429))∸)∀⇚≩((↥⊺⇮5740⋳⪒⊺⇮2981)⨳⩥⨓(⊺⇮1291*⊺⇮2811-(∥⊫⊺⇮1513)))=NaN","reverse_text":"NaN=(((⇁⨣⪵⊺⇮4763)⩷∴(+⊝⨔⊺⇮2429))∸)∀⇚≩((↥⊺⇮5740⋳⪒⊺⇮2981)⨳⩥⨓(⊺⇮1291*⊺⇮2811-(∥⊫⊺⇮1513)))","cot":[{"info":"⇁⨣⪵⊺⇮4763=NaN","layer":3},{"info":"+⊝⨔⊺⇮2429=⊺⇮1522","layer":3},{"info":"NaN⩷∴⊺⇮1522=NaN","layer":2},{"info":"NaN∸=⊺⇮177","layer":1},{"info":"⊺⇮5740⋳⪒⊺⇮2981=⊺⇮8212","layer":3},{"info":"↥⊺⇮8212=⊺⇮1","layer":2},{"info":"⊺⇮1291*⊺⇮2811=⊺⇮3629001","layer":3},{"info":"∥⊫⊺⇮1513=⊺⇮2381","layer":3},{"info":"⊺⇮3629001-⊺⇮2381=⊺⇮3626620","layer":2},{"info":"⊺⇮1⨳⩥⨓⊺⇮3626620=⊺⇮3626619","layer":1},{"info":"⊺⇮177∀⇚≩⊺⇮3626619=NaN","layer":0}]}
{"id":17,"expression_no_base_symbol":"(↣≠⋷(($1992$≦≮≮)⋥≓≎(⨈⫕$2199$)))⪘⫢($5154$⨰$2364$⋥≓≎($2446$∲⫓$5203$)⫡⨏(≉$6527$⪛$1150$))","expression":"(↣≠⋷((⊺⇮1992≦≮≮)⋥≓≎(⨈⫕⊺⇮2199)))⪘⫢(⊺⇮5154⨰⊺⇮2364⋥≓≎(⊺⇮2446∲⫓⊺⇮5203)⫡⨏(≉⊺⇮6527⪛⊺⇮1150))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4920,"operation_count":11,"complexity_ratio":447.27272727272725,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1992,"base":10}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2199,"base":10}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":5154,"base":10},"right_expr":{"type":"numeric_atoms","value":2364,"base":10}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2446,"base":10},"right_expr":{"type":"numeric_atoms","value":5203,"base":10}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":6527,"base":10},"right_expr":{"type":"numeric_atoms","value":1150,"base":10}}}}},"used_operators":["oacrs7FA3X","Asc51vEJeQ","Qy55tPpLXF","D4vGDi5EA2","megm06wKyl","QMFrweE19q","eewbuw0ToL","i8ToyICDmI","e1ybzncUwg","uFcxV4UQCh"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1992","layer":4},{"info":"compute unary expreesion, input=1992, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-5976","layer":3},{"info":"number node, value=2199","layer":4},{"info":"compute unary expreesion, input=2199, 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=-5976, right_input=-21, 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":"number node, value=5154","layer":4},{"info":"number node, value=2364","layer":4},{"info":"compute binary expreesion, left_input=5154, right_input=2364, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2800","layer":3},{"info":"number node, value=2446","layer":4},{"info":"number node, value=5203","layer":4},{"info":"compute binary expreesion, left_input=2446, right_input=5203, 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=2800, right_input=0, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-2767","layer":2},{"info":"number node, value=6527","layer":4},{"info":"number node, value=1150","layer":4},{"info":"compute binary expreesion, left_input=6527, right_input=1150, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=777","layer":3},{"info":"compute unary expreesion, input=777, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1308","layer":2},{"info":"compute binary expreesion, left_input=-2767, right_input=1308, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-10436","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-10436, 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":10,"result_base":10,"text":"(↣≠⋷((⊺⇮1992≦≮≮)⋥≓≎(⨈⫕⊺⇮2199)))⪘⫢(⊺⇮5154⨰⊺⇮2364⋥≓≎(⊺⇮2446∲⫓⊺⇮5203)⫡⨏(≉⊺⇮6527⪛⊺⇮1150))=NaN","reverse_text":"NaN=(↣≠⋷((⊺⇮1992≦≮≮)⋥≓≎(⨈⫕⊺⇮2199)))⪘⫢(⊺⇮5154⨰⊺⇮2364⋥≓≎(⊺⇮2446∲⫓⊺⇮5203)⫡⨏(≉⊺⇮6527⪛⊺⇮1150))","cot":[{"info":"⊺⇮1992≦≮≮=⊺⇮-5976","layer":3},{"info":"⨈⫕⊺⇮2199=⊺⇮-21","layer":3},{"info":"⊺⇮-5976⋥≓≎⊺⇮-21=⊺⇮67","layer":2},{"info":"↣≠⋷⊺⇮67=NaN","layer":1},{"info":"⊺⇮5154⨰⊺⇮2364=⊺⇮2800","layer":3},{"info":"⊺⇮2446∲⫓⊺⇮5203=⊺⇮0","layer":3},{"info":"⊺⇮2800⋥≓≎⊺⇮0=⊺⇮-2767","layer":2},{"info":"⊺⇮6527⪛⊺⇮1150=⊺⇮777","layer":3},{"info":"≉⊺⇮777=⊺⇮1308","layer":2},{"info":"⊺⇮-2767⫡⨏⊺⇮1308=⊺⇮-10436","layer":1},{"info":"NaN⪘⫢⊺⇮-10436=NaN","layer":0}]}
{"id":18,"expression_no_base_symbol":"(($2930$⫥∨⫟$3939$)+⇶⊼$4155$⪛$1712$⨁⊸⫻)⪠⩆⊳","expression":"((⊺⇮2930⫥∨⫟⊺⇮3939)+⇶⊼⊺⇮4155⪛⊺⇮1712⨁⊸⫻)⪠⩆⊳","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":167,"operation_count":5,"complexity_ratio":33.4,"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":2930,"base":10},"right_expr":{"type":"numeric_atoms","value":3939,"base":10}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":4155,"base":10},"right_expr":{"type":"numeric_atoms","value":1712,"base":10}}}}},"used_operators":["JLbD19bQDL","glklzrTFfD","TpPTUOHfaN","KYD54nUTWz","uFcxV4UQCh"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=2930","layer":4},{"info":"number node, value=3939","layer":4},{"info":"compute binary expreesion, left_input=2930, right_input=3939, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=4155","layer":4},{"info":"number node, value=1712","layer":4},{"info":"compute binary expreesion, left_input=4155, right_input=1712, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=731","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=731, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = 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 = 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":10,"result_base":10,"text":"((⊺⇮2930⫥∨⫟⊺⇮3939)+⇶⊼⊺⇮4155⪛⊺⇮1712⨁⊸⫻)⪠⩆⊳=NaN","reverse_text":"NaN=((⊺⇮2930⫥∨⫟⊺⇮3939)+⇶⊼⊺⇮4155⪛⊺⇮1712⨁⊸⫻)⪠⩆⊳","cot":[{"info":"⊺⇮2930⫥∨⫟⊺⇮3939=NaN","layer":3},{"info":"⊺⇮4155⪛⊺⇮1712=⊺⇮731","layer":3},{"info":"NaN+⇶⊼⊺⇮731=NaN","layer":2},{"info":"NaN⨁⊸⫻=NaN","layer":1},{"info":"NaN⪠⩆⊳=NaN","layer":0}]}
{"id":19,"expression_no_base_symbol":"(∥⊫(⫓⪴($8056$⨐⩸⫘$2969$)))⊴(($4565$⨳⩥⨓$2645$)⩚⊴⇥(⨑⩽⪐$3219$)⪒(⩦⩻⨪$2944$)⩷∴($1764$⋝⋈⪟$8518$))","expression":"(∥⊫(⫓⪴(⊺⇮8056⨐⩸⫘⊺⇮2969)))⊴((⊺⇮4565⨳⩥⨓⊺⇮2645)⩚⊴⇥(⨑⩽⪐⊺⇮3219)⪒(⩦⩻⨪⊺⇮2944)⩷∴(⊺⇮1764⋝⋈⪟⊺⇮8518))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7109,"operation_count":11,"complexity_ratio":646.2727272727273,"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":8056,"base":10},"right_expr":{"type":"numeric_atoms","value":2969,"base":10}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4565,"base":10},"right_expr":{"type":"numeric_atoms","value":2645,"base":10}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":3219,"base":10}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2944,"base":10}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1764,"base":10},"right_expr":{"type":"numeric_atoms","value":8518,"base":10}}}}},"used_operators":["Nsiff2A1zJ","P8v4zCKN1o","eLxqMNBOBk","fu6greOZ01","f6k1SAg4EE","NTOWxs364D","nCS4ZIUYfx","AF7qkfDlqP","9FxExcQeMw","2td37pGCOC","2DDjHMKMc0"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=8056","layer":4},{"info":"number node, value=2969","layer":4},{"info":"compute binary expreesion, left_input=8056, right_input=2969, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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":"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=4565","layer":4},{"info":"number node, value=2645","layer":4},{"info":"compute binary expreesion, left_input=4565, right_input=2645, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1920","layer":3},{"info":"number node, value=3219","layer":4},{"info":"compute unary expreesion, input=3219, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2946","layer":3},{"info":"compute binary expreesion, left_input=-1920, right_input=-2946, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=4745","layer":2},{"info":"number node, value=2944","layer":4},{"info":"compute unary expreesion, input=2944, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2944","layer":3},{"info":"number node, value=1764","layer":4},{"info":"number node, value=8518","layer":4},{"info":"compute binary expreesion, left_input=1764, right_input=8518, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1764","layer":3},{"info":"compute binary expreesion, left_input=2944, right_input=1764, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2328","layer":2},{"info":"compute binary expreesion, left_input=4745, right_input=2328, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7073","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-7073, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(∥⊫(⫓⪴(⊺⇮8056⨐⩸⫘⊺⇮2969)))⊴((⊺⇮4565⨳⩥⨓⊺⇮2645)⩚⊴⇥(⨑⩽⪐⊺⇮3219)⪒(⩦⩻⨪⊺⇮2944)⩷∴(⊺⇮1764⋝⋈⪟⊺⇮8518))=NaN","reverse_text":"NaN=(∥⊫(⫓⪴(⊺⇮8056⨐⩸⫘⊺⇮2969)))⊴((⊺⇮4565⨳⩥⨓⊺⇮2645)⩚⊴⇥(⨑⩽⪐⊺⇮3219)⪒(⩦⩻⨪⊺⇮2944)⩷∴(⊺⇮1764⋝⋈⪟⊺⇮8518))","cot":[{"info":"⊺⇮8056⨐⩸⫘⊺⇮2969=NaN","layer":3},{"info":"⫓⪴NaN=NaN","layer":2},{"info":"∥⊫NaN=NaN","layer":1},{"info":"⊺⇮4565⨳⩥⨓⊺⇮2645=⊺⇮-1920","layer":3},{"info":"⨑⩽⪐⊺⇮3219=⊺⇮-2946","layer":3},{"info":"⊺⇮-1920⩚⊴⇥⊺⇮-2946=⊺⇮4745","layer":2},{"info":"⩦⩻⨪⊺⇮2944=⊺⇮2944","layer":3},{"info":"⊺⇮1764⋝⋈⪟⊺⇮8518=⊺⇮1764","layer":3},{"info":"⊺⇮2944⩷∴⊺⇮1764=⊺⇮2328","layer":2},{"info":"⊺⇮4745⪒⊺⇮2328=⊺⇮-7073","layer":1},{"info":"NaN⊴⊺⇮-7073=NaN","layer":0}]}
{"id":20,"expression_no_base_symbol":"⊙↵-(($3203$⊴$2642$⋫)⪨≂($1577$⫸⊐$3074$)⋓($1850$⋥≓≎$1141$))","expression":"⊙↵-((⊺⇮3203⊴⊺⇮2642⋫)⪨≂(⊺⇮1577⫸⊐⊺⇮3074)⋓(⊺⇮1850⋥≓≎⊺⇮1141))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7992,"operation_count":7,"complexity_ratio":1141.7142857142858,"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":3203,"base":10},"right_expr":{"type":"numeric_atoms","value":2642,"base":10}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1577,"base":10},"right_expr":{"type":"numeric_atoms","value":3074,"base":10}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1850,"base":10},"right_expr":{"type":"numeric_atoms","value":1141,"base":10}}}}},"used_operators":["oWn0xqSxBt","sdazOOVcIp","JL8yIekQnl","Nsiff2A1zJ","T2fj7uvVaJ","mqXw5SEYmG","Qy55tPpLXF"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","dWAJyo7jo9","14qkJME0vr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3203","layer":4},{"info":"number node, value=2642","layer":4},{"info":"compute binary expreesion, left_input=3203, right_input=2642, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', 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=1577","layer":4},{"info":"number node, value=3074","layer":4},{"info":"compute binary expreesion, left_input=1577, right_input=3074, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=12171","layer":3},{"info":"number node, value=1850","layer":4},{"info":"number node, value=1141","layer":4},{"info":"compute binary expreesion, left_input=1850, right_input=1141, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=465","layer":3},{"info":"compute binary expreesion, left_input=12171, right_input=465, op_id = T2fj7uvVaJ binary_op_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 = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⊙↵-((⊺⇮3203⊴⊺⇮2642⋫)⪨≂(⊺⇮1577⫸⊐⊺⇮3074)⋓(⊺⇮1850⋥≓≎⊺⇮1141))=NaN","reverse_text":"NaN=⊙↵-((⊺⇮3203⊴⊺⇮2642⋫)⪨≂(⊺⇮1577⫸⊐⊺⇮3074)⋓(⊺⇮1850⋥≓≎⊺⇮1141))","cot":[{"info":"⊺⇮3203⊴⊺⇮2642=NaN","layer":3},{"info":"NaN⋫=NaN","layer":2},{"info":"⊺⇮1577⫸⊐⊺⇮3074=⊺⇮12171","layer":3},{"info":"⊺⇮1850⋥≓≎⊺⇮1141=⊺⇮465","layer":3},{"info":"⊺⇮12171⋓⊺⇮465=⊺⇮0","layer":2},{"info":"NaN⪨≂⊺⇮0=NaN","layer":1},{"info":"⊙↵-NaN=NaN","layer":0}]}
{"id":21,"expression_no_base_symbol":"↥($3772$≎⊠⪸$2497$⋳⪒($3256$⊠≄⫣)⩨((↔$2793$)⩨($3218$≣⋋)))","expression":"↥(⊺⇮3772≎⊠⪸⊺⇮2497⋳⪒(⊺⇮3256⊠≄⫣)⩨((↔⊺⇮2793)⩨(⊺⇮3218≣⋋)))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":810,"operation_count":8,"complexity_ratio":101.25,"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":3772,"base":10},"right_expr":{"type":"numeric_atoms","value":2497,"base":10}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":3256,"base":10}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2793,"base":10}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":3218,"base":10}}}}},"used_operators":["A8NUZmVepG","2DlMacCsIx","12rbrZMWeM","bJkvcejdHO","DIvbN7qnHd","ruOEQAzv1W","Tcnh7f0tEr"],"dependent_operators":["k8jYdgA6NY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3772","layer":4},{"info":"number node, value=2497","layer":4},{"info":"compute binary expreesion, left_input=3772, right_input=2497, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=976475","layer":3},{"info":"number node, value=3256","layer":4},{"info":"compute unary expreesion, input=3256, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=976475, right_input=0, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1952663","layer":2},{"info":"number node, value=2793","layer":4},{"info":"compute unary expreesion, input=2793, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2520","layer":3},{"info":"number node, value=3218","layer":4},{"info":"compute unary expreesion, input=3218, 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=-2520, 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=1952663, right_input=0, 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 = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=0","layer":0}],"base":10,"result_base":10,"text":"↥(⊺⇮3772≎⊠⪸⊺⇮2497⋳⪒(⊺⇮3256⊠≄⫣)⩨((↔⊺⇮2793)⩨(⊺⇮3218≣⋋)))=⊺⇮0","reverse_text":"⊺⇮0=↥(⊺⇮3772≎⊠⪸⊺⇮2497⋳⪒(⊺⇮3256⊠≄⫣)⩨((↔⊺⇮2793)⩨(⊺⇮3218≣⋋)))","cot":[{"info":"⊺⇮3772≎⊠⪸⊺⇮2497=⊺⇮976475","layer":3},{"info":"⊺⇮3256⊠≄⫣=⊺⇮0","layer":3},{"info":"⊺⇮976475⋳⪒⊺⇮0=⊺⇮1952663","layer":2},{"info":"↔⊺⇮2793=⊺⇮-2520","layer":3},{"info":"⊺⇮3218≣⋋=⊺⇮0","layer":3},{"info":"⊺⇮-2520⩨⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮1952663⩨⊺⇮0=⊺⇮0","layer":1},{"info":"↥⊺⇮0=⊺⇮0","layer":0}]}
{"id":22,"expression_no_base_symbol":"(↯⪼(⇁⨣⪵$2173$⋳⪒$1570$))/(≤/($3066$⨵⪆$6040$)⨰$1999$⨟⋌⩍$1019$)","expression":"(↯⪼(⇁⨣⪵⊺⇮2173⋳⪒⊺⇮1570))/(≤/(⊺⇮3066⨵⪆⊺⇮6040)⨰⊺⇮1999⨟⋌⩍⊺⇮1019)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":49,"operation_count":8,"complexity_ratio":6.125,"tree":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2173,"base":10},"right_expr":{"type":"numeric_atoms","value":1570,"base":10}}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3066,"base":10},"right_expr":{"type":"numeric_atoms","value":6040,"base":10}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1999,"base":10},"right_expr":{"type":"numeric_atoms","value":1019,"base":10}}}}},"used_operators":["XhwjNDsVaA","8jW3W4yZS5","inkyxCbjAn","12rbrZMWeM","eLAdDNolq6","eewbuw0ToL","2DQ55sFlQl","rGHVDoGpnC"],"dependent_operators":["rysDP5nf3Z","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=2173","layer":4},{"info":"number node, value=1570","layer":4},{"info":"compute binary expreesion, left_input=2173, right_input=1570, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2489","layer":3},{"info":"compute unary expreesion, input=2489, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵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":"number node, value=3066","layer":4},{"info":"number node, value=6040","layer":4},{"info":"compute binary expreesion, left_input=3066, right_input=6040, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1999","layer":4},{"info":"number node, value=1019","layer":4},{"info":"compute binary expreesion, left_input=1999, right_input=1019, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=160, 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 = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":10,"result_base":10,"text":"(↯⪼(⇁⨣⪵⊺⇮2173⋳⪒⊺⇮1570))/(≤/(⊺⇮3066⨵⪆⊺⇮6040)⨰⊺⇮1999⨟⋌⩍⊺⇮1019)=NaN","reverse_text":"NaN=(↯⪼(⇁⨣⪵⊺⇮2173⋳⪒⊺⇮1570))/(≤/(⊺⇮3066⨵⪆⊺⇮6040)⨰⊺⇮1999⨟⋌⩍⊺⇮1019)","cot":[{"info":"⊺⇮2173⋳⪒⊺⇮1570=⊺⇮2489","layer":3},{"info":"⇁⨣⪵⊺⇮2489=NaN","layer":2},{"info":"↯⪼NaN=⊺⇮-21","layer":1},{"info":"⊺⇮3066⨵⪆⊺⇮6040=⊺⇮160","layer":3},{"info":"⊺⇮1999⨟⋌⩍⊺⇮1019=NaN","layer":3},{"info":"⊺⇮160⨰NaN=NaN","layer":2},{"info":"≤/NaN=NaN","layer":1},{"info":"⊺⇮-21/NaN=NaN","layer":0}]}
{"id":23,"expression_no_base_symbol":"≤/($3085$⫸⊐$1382$⩨(⊙↵-$1372$))⨽(-$3609$-$4572$)","expression":"≤/(⊺⇮3085⫸⊐⊺⇮1382⩨(⊙↵-⊺⇮1372))⨽(-⊺⇮3609-⊺⇮4572)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1461,"operation_count":7,"complexity_ratio":208.71428571428572,"tree":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3085,"base":10},"right_expr":{"type":"numeric_atoms","value":1382,"base":10}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1372,"base":10}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3609,"base":10},"right_expr":{"type":"numeric_atoms","value":4572,"base":10}}}}},"used_operators":["eLAdDNolq6","8HhzD0ZcuI","2DlMacCsIx","mqXw5SEYmG","oWn0xqSxBt","t8gj7n24qd","rysDP5nf3Z"],"dependent_operators":["rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"⊺⇮2086","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3085","layer":4},{"info":"number node, value=1382","layer":4},{"info":"compute binary expreesion, left_input=3085, right_input=1382, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5403","layer":3},{"info":"number node, value=1372","layer":4},{"info":"compute unary expreesion, input=1372, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=5403, right_input=-1, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=3","layer":2},{"info":"number node, value=3609","layer":4},{"info":"number node, value=4572","layer":4},{"info":"compute binary expreesion, left_input=3609, right_input=4572, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-963","layer":3},{"info":"compute unary expreesion, input=-963, op_id = t8gj7n24qd, unary_op_definition = 'None', output=963","layer":2},{"info":"compute binary expreesion, left_input=3, right_input=963, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-1602","layer":1},{"info":"compute unary expreesion, input=-1602, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=2086","layer":0}],"base":10,"result_base":10,"text":"≤/(⊺⇮3085⫸⊐⊺⇮1382⩨(⊙↵-⊺⇮1372))⨽(-⊺⇮3609-⊺⇮4572)=⊺⇮2086","reverse_text":"⊺⇮2086=≤/(⊺⇮3085⫸⊐⊺⇮1382⩨(⊙↵-⊺⇮1372))⨽(-⊺⇮3609-⊺⇮4572)","cot":[{"info":"⊺⇮3085⫸⊐⊺⇮1382=⊺⇮5403","layer":3},{"info":"⊙↵-⊺⇮1372=⊺⇮-1","layer":3},{"info":"⊺⇮5403⩨⊺⇮-1=⊺⇮3","layer":2},{"info":"⊺⇮3609-⊺⇮4572=⊺⇮-963","layer":3},{"info":"-⊺⇮-963=⊺⇮963","layer":2},{"info":"⊺⇮3⨽⊺⇮963=⊺⇮-1602","layer":1},{"info":"≤/⊺⇮-1602=⊺⇮2086","layer":0}]}
{"id":24,"expression_no_base_symbol":"($2129$⨎$2740$⨐⩸⫘$4433$≹⇙⪍$1362$%(($2765$⫌⩹⨱)⊭∹↮))⪘⫢(↥($1452$⨎$7665$⪄($3911$-$1722$)))","expression":"(⊺⇮2129⨎⊺⇮2740⨐⩸⫘⊺⇮4433≹⇙⪍⊺⇮1362%((⊺⇮2765⫌⩹⨱)⊭∹↮))⪘⫢(↥(⊺⇮1452⨎⊺⇮7665⪄(⊺⇮3911-⊺⇮1722)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":22461,"operation_count":11,"complexity_ratio":2041.909090909091,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2129,"base":10},"right_expr":{"type":"numeric_atoms","value":2740,"base":10}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":4433,"base":10},"right_expr":{"type":"numeric_atoms","value":1362,"base":10}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":2765,"base":10}}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1452,"base":10},"right_expr":{"type":"numeric_atoms","value":7665,"base":10}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3911,"base":10},"right_expr":{"type":"numeric_atoms","value":1722,"base":10}}}}},"used_operators":["oacrs7FA3X","k8jYdgA6NY","fu6greOZ01","rJVOvQCfKK","AHs5Up7iyr","xNBdhnnwKq","EBcxylXtPf","A8NUZmVepG","SUmda5xLS4","rysDP5nf3Z"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","3ViojmjbAp","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","k8jYdgA6NY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2129","layer":4},{"info":"number node, value=2740","layer":4},{"info":"compute binary expreesion, left_input=2129, right_input=2740, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2740","layer":3},{"info":"number node, value=4433","layer":4},{"info":"number node, value=1362","layer":4},{"info":"compute binary expreesion, left_input=4433, right_input=1362, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=2740, 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=2765","layer":4},{"info":"compute unary expreesion, input=2765, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=6931","layer":3},{"info":"compute unary expreesion, input=6931, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=13862","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=13862, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1452","layer":4},{"info":"number node, value=7665","layer":4},{"info":"compute binary expreesion, left_input=1452, right_input=7665, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=7665","layer":3},{"info":"number node, value=3911","layer":4},{"info":"number node, value=1722","layer":4},{"info":"compute binary expreesion, left_input=3911, right_input=1722, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2189","layer":3},{"info":"compute binary expreesion, left_input=7665, right_input=2189, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1139265","layer":2},{"info":"compute unary expreesion, input=-1139265, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=24","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=24, 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":10,"result_base":10,"text":"(⊺⇮2129⨎⊺⇮2740⨐⩸⫘⊺⇮4433≹⇙⪍⊺⇮1362%((⊺⇮2765⫌⩹⨱)⊭∹↮))⪘⫢(↥(⊺⇮1452⨎⊺⇮7665⪄(⊺⇮3911-⊺⇮1722)))=NaN","reverse_text":"NaN=(⊺⇮2129⨎⊺⇮2740⨐⩸⫘⊺⇮4433≹⇙⪍⊺⇮1362%((⊺⇮2765⫌⩹⨱)⊭∹↮))⪘⫢(↥(⊺⇮1452⨎⊺⇮7665⪄(⊺⇮3911-⊺⇮1722)))","cot":[{"info":"⊺⇮2129⨎⊺⇮2740=⊺⇮2740","layer":3},{"info":"⊺⇮4433≹⇙⪍⊺⇮1362=NaN","layer":3},{"info":"⊺⇮2740⨐⩸⫘NaN=NaN","layer":2},{"info":"⊺⇮2765⫌⩹⨱=⊺⇮6931","layer":3},{"info":"⊺⇮6931⊭∹↮=⊺⇮13862","layer":2},{"info":"NaN%⊺⇮13862=NaN","layer":1},{"info":"⊺⇮1452⨎⊺⇮7665=⊺⇮7665","layer":3},{"info":"⊺⇮3911-⊺⇮1722=⊺⇮2189","layer":3},{"info":"⊺⇮7665⪄⊺⇮2189=⊺⇮-1139265","layer":2},{"info":"↥⊺⇮-1139265=⊺⇮24","layer":1},{"info":"NaN⪘⫢⊺⇮24=NaN","layer":0}]}
{"id":25,"expression_no_base_symbol":"((↽≂$3698$⨐⩸⫘$1593$)+(∂($3673$⋥≓≎$1975$)))-(≦∁(↥(⊥$4696$)))","expression":"((↽≂⊺⇮3698⨐⩸⫘⊺⇮1593)+(∂(⊺⇮3673⋥≓≎⊺⇮1975)))-(≦∁(↥(⊥⊺⇮4696)))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":14,"operation_count":9,"complexity_ratio":1.5555555555555556,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3698,"base":10},"right_expr":{"type":"numeric_atoms","value":1593,"base":10}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3673,"base":10},"right_expr":{"type":"numeric_atoms","value":1975,"base":10}}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":4696,"base":10}}}}},"used_operators":["rysDP5nf3Z","W4YGzv6Whe","u6S6b8DprG","fu6greOZ01","Uaa54Peajs","Qy55tPpLXF","9ICcGScMcE","A8NUZmVepG","Q3PJZHRvZv"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","k8jYdgA6NY","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=3698","layer":4},{"info":"number node, value=1593","layer":4},{"info":"compute binary expreesion, left_input=3698, right_input=1593, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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":"number node, value=3673","layer":4},{"info":"number node, value=1975","layer":4},{"info":"compute binary expreesion, left_input=3673, right_input=1975, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=310","layer":3},{"info":"compute unary expreesion, input=310, 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 = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=4696","layer":4},{"info":"compute unary expreesion, input=4696, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":2},{"info":"compute 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 = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":10,"result_base":10,"text":"((↽≂⊺⇮3698⨐⩸⫘⊺⇮1593)+(∂(⊺⇮3673⋥≓≎⊺⇮1975)))-(≦∁(↥(⊥⊺⇮4696)))=NaN","reverse_text":"NaN=((↽≂⊺⇮3698⨐⩸⫘⊺⇮1593)+(∂(⊺⇮3673⋥≓≎⊺⇮1975)))-(≦∁(↥(⊥⊺⇮4696)))","cot":[{"info":"⊺⇮3698⨐⩸⫘⊺⇮1593=NaN","layer":3},{"info":"↽≂NaN=NaN","layer":2},{"info":"⊺⇮3673⋥≓≎⊺⇮1975=⊺⇮310","layer":3},{"info":"∂⊺⇮310=NaN","layer":2},{"info":"NaN+NaN=NaN","layer":1},{"info":"⊥⊺⇮4696=NaN","layer":3},{"info":"↥NaN=NaN","layer":2},{"info":"≦∁NaN=NaN","layer":1},{"info":"NaN-NaN=NaN","layer":0}]}
{"id":26,"expression_no_base_symbol":"⨑⩽⪐(∂$4050$)⨟⋌⩍(≦∁$2985$)⨓(∥⊫$1732$≹⇙⪍$2123$)","expression":"⨑⩽⪐(∂⊺⇮4050)⨟⋌⩍(≦∁⊺⇮2985)⨓(∥⊫⊺⇮1732≹⇙⪍⊺⇮2123)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":21,"operation_count":7,"complexity_ratio":3.0,"tree":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":4050,"base":10}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2985,"base":10}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1732,"base":10},"right_expr":{"type":"numeric_atoms","value":2123,"base":10}}}}},"used_operators":["AF7qkfDlqP","3ViojmjbAp","rGHVDoGpnC","Uaa54Peajs","9ICcGScMcE","P8v4zCKN1o","AHs5Up7iyr"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","Tcnh7f0tEr","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=4050","layer":4},{"info":"compute unary expreesion, input=4050, 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=2985","layer":4},{"info":"compute unary expreesion, input=2985, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2985","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2985, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1732","layer":4},{"info":"number node, value=2123","layer":4},{"info":"compute binary expreesion, left_input=1732, right_input=2123, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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 = 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 = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⨑⩽⪐(∂⊺⇮4050)⨟⋌⩍(≦∁⊺⇮2985)⨓(∥⊫⊺⇮1732≹⇙⪍⊺⇮2123)=NaN","reverse_text":"NaN=⨑⩽⪐(∂⊺⇮4050)⨟⋌⩍(≦∁⊺⇮2985)⨓(∥⊫⊺⇮1732≹⇙⪍⊺⇮2123)","cot":[{"info":"∂⊺⇮4050=NaN","layer":3},{"info":"≦∁⊺⇮2985=⊺⇮2985","layer":3},{"info":"NaN⨟⋌⩍⊺⇮2985=NaN","layer":2},{"info":"⊺⇮1732≹⇙⪍⊺⇮2123=NaN","layer":3},{"info":"∥⊫NaN=NaN","layer":2},{"info":"NaN⨓NaN=NaN","layer":1},{"info":"⨑⩽⪐NaN=NaN","layer":0}]}
{"id":27,"expression_no_base_symbol":"(($6383$⇋≉)⪢($4496$⨰$6559$)/($1078$⪐)⇼⇔∾($2790$⫡⨏$1946$))⨽((($1237$⫡⨏$1614$)⊘)∧)","expression":"((⊺⇮6383⇋≉)⪢(⊺⇮4496⨰⊺⇮6559)/(⊺⇮1078⪐)⇼⇔∾(⊺⇮2790⫡⨏⊺⇮1946))⨽(((⊺⇮1237⫡⨏⊺⇮1614)⊘)∧)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8982,"operation_count":11,"complexity_ratio":816.5454545454545,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":6383,"base":10}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4496,"base":10},"right_expr":{"type":"numeric_atoms","value":6559,"base":10}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1078,"base":10}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2790,"base":10},"right_expr":{"type":"numeric_atoms","value":1946,"base":10}}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1237,"base":10},"right_expr":{"type":"numeric_atoms","value":1614,"base":10}}}}},"used_operators":["8HhzD0ZcuI","XhwjNDsVaA","dWAJyo7jo9","XIabStNQrY","eewbuw0ToL","tifHPKVTfV","eH2TOUuTDT","QMFrweE19q","z63VuFQld9","gu96TGCTMs"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6383","layer":4},{"info":"compute unary expreesion, input=6383, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=12668","layer":3},{"info":"number node, value=4496","layer":4},{"info":"number node, value=6559","layer":4},{"info":"compute binary expreesion, left_input=4496, right_input=6559, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2053","layer":3},{"info":"compute binary expreesion, left_input=12668, right_input=-2053, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1078","layer":4},{"info":"compute unary expreesion, input=1078, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2156","layer":3},{"info":"number node, value=2790","layer":4},{"info":"number node, value=1946","layer":4},{"info":"compute binary expreesion, left_input=2790, right_input=1946, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=18625","layer":3},{"info":"compute binary expreesion, left_input=2156, right_input=18625, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=16469","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=16469, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1237","layer":4},{"info":"number node, value=1614","layer":4},{"info":"compute binary expreesion, left_input=1237, right_input=1614, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=10196","layer":3},{"info":"compute unary expreesion, input=10196, 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 = 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 = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮6383⇋≉)⪢(⊺⇮4496⨰⊺⇮6559)/(⊺⇮1078⪐)⇼⇔∾(⊺⇮2790⫡⨏⊺⇮1946))⨽(((⊺⇮1237⫡⨏⊺⇮1614)⊘)∧)=NaN","reverse_text":"NaN=((⊺⇮6383⇋≉)⪢(⊺⇮4496⨰⊺⇮6559)/(⊺⇮1078⪐)⇼⇔∾(⊺⇮2790⫡⨏⊺⇮1946))⨽(((⊺⇮1237⫡⨏⊺⇮1614)⊘)∧)","cot":[{"info":"⊺⇮6383⇋≉=⊺⇮12668","layer":3},{"info":"⊺⇮4496⨰⊺⇮6559=⊺⇮-2053","layer":3},{"info":"⊺⇮12668⪢⊺⇮-2053=NaN","layer":2},{"info":"⊺⇮1078⪐=⊺⇮2156","layer":3},{"info":"⊺⇮2790⫡⨏⊺⇮1946=⊺⇮18625","layer":3},{"info":"⊺⇮2156⇼⇔∾⊺⇮18625=⊺⇮16469","layer":2},{"info":"NaN/⊺⇮16469=NaN","layer":1},{"info":"⊺⇮1237⫡⨏⊺⇮1614=⊺⇮10196","layer":3},{"info":"⊺⇮10196⊘=⊺⇮0","layer":2},{"info":"⊺⇮0∧=⊺⇮0","layer":1},{"info":"NaN⨽⊺⇮0=NaN","layer":0}]}
{"id":28,"expression_no_base_symbol":"(($1243$⋳⪒$4343$)⩚⊴⇥($7485$⩠)↪⪝)⇼⇔∾(($2135$⩷∴$1068$⋷$5795$≧⫂∧$1000$)∲⫓(∂($5496$≫≃)))","expression":"((⊺⇮1243⋳⪒⊺⇮4343)⩚⊴⇥(⊺⇮7485⩠)↪⪝)⇼⇔∾((⊺⇮2135⩷∴⊺⇮1068⋷⊺⇮5795≧⫂∧⊺⇮1000)∲⫓(∂(⊺⇮5496≫≃)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":750,"operation_count":11,"complexity_ratio":68.18181818181819,"tree":{"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":10},"right_expr":{"type":"numeric_atoms","value":4343,"base":10}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":7485,"base":10}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2135,"base":10},"right_expr":{"type":"numeric_atoms","value":1068,"base":10}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":5795,"base":10},"right_expr":{"type":"numeric_atoms","value":1000,"base":10}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":5496,"base":10}}}}},"used_operators":["tifHPKVTfV","l07mrZUIn9","NTOWxs364D","12rbrZMWeM","sJAwomhLZr","i8ToyICDmI","23Mk6UjR3U","9FxExcQeMw","Ph9nP6C5qx","Uaa54Peajs","X99M06cbEe"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1243","layer":4},{"info":"number node, value=4343","layer":4},{"info":"compute binary expreesion, left_input=1243, right_input=4343, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-2144","layer":3},{"info":"number node, value=7485","layer":4},{"info":"compute unary expreesion, input=7485, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-2144, right_input=0, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=2023","layer":2},{"info":"compute unary expreesion, input=2023, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=123771186","layer":1},{"info":"number node, value=2135","layer":4},{"info":"number node, value=1068","layer":4},{"info":"compute binary expreesion, left_input=2135, right_input=1068, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2102","layer":3},{"info":"number node, value=5795","layer":4},{"info":"number node, value=1000","layer":4},{"info":"compute binary expreesion, left_input=5795, right_input=1000, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=527","layer":3},{"info":"compute binary expreesion, left_input=2102, right_input=527, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-1048","layer":2},{"info":"number node, value=5496","layer":4},{"info":"compute unary expreesion, input=5496, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=12393","layer":3},{"info":"compute unary expreesion, input=12393, 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=-1048, 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=123771186, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1243⋳⪒⊺⇮4343)⩚⊴⇥(⊺⇮7485⩠)↪⪝)⇼⇔∾((⊺⇮2135⩷∴⊺⇮1068⋷⊺⇮5795≧⫂∧⊺⇮1000)∲⫓(∂(⊺⇮5496≫≃)))=NaN","reverse_text":"NaN=((⊺⇮1243⋳⪒⊺⇮4343)⩚⊴⇥(⊺⇮7485⩠)↪⪝)⇼⇔∾((⊺⇮2135⩷∴⊺⇮1068⋷⊺⇮5795≧⫂∧⊺⇮1000)∲⫓(∂(⊺⇮5496≫≃)))","cot":[{"info":"⊺⇮1243⋳⪒⊺⇮4343=⊺⇮-2144","layer":3},{"info":"⊺⇮7485⩠=⊺⇮0","layer":3},{"info":"⊺⇮-2144⩚⊴⇥⊺⇮0=⊺⇮2023","layer":2},{"info":"⊺⇮2023↪⪝=⊺⇮123771186","layer":1},{"info":"⊺⇮2135⩷∴⊺⇮1068=⊺⇮2102","layer":3},{"info":"⊺⇮5795≧⫂∧⊺⇮1000=⊺⇮527","layer":3},{"info":"⊺⇮2102⋷⊺⇮527=⊺⇮-1048","layer":2},{"info":"⊺⇮5496≫≃=⊺⇮12393","layer":3},{"info":"∂⊺⇮12393=NaN","layer":2},{"info":"⊺⇮-1048∲⫓NaN=NaN","layer":1},{"info":"⊺⇮123771186⇼⇔∾NaN=NaN","layer":0}]}
{"id":29,"expression_no_base_symbol":"($4006$↺$1635$⩨($5897$⨸⪁$2902$)⊉≛↸$2611$⨰$1245$+⇶⊼(-$3796$))⫥∨⫟(↣≠⋷((∥⊫$1984$)⪘⫢(⨑⩽⪐$8511$)))","expression":"(⊺⇮4006↺⊺⇮1635⩨(⊺⇮5897⨸⪁⊺⇮2902)⊉≛↸⊺⇮2611⨰⊺⇮1245+⇶⊼(-⊺⇮3796))⫥∨⫟(↣≠⋷((∥⊫⊺⇮1984)⪘⫢(⨑⩽⪐⊺⇮8511)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":202,"operation_count":12,"complexity_ratio":16.833333333333332,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":4006,"base":10},"right_expr":{"type":"numeric_atoms","value":1635,"base":10}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":5897,"base":10},"right_expr":{"type":"numeric_atoms","value":2902,"base":10}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2611,"base":10},"right_expr":{"type":"numeric_atoms","value":1245,"base":10}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":3796,"base":10}}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1984,"base":10}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":8511,"base":10}}}}},"used_operators":["KYD54nUTWz","DZ8iAZOCBD","2DlMacCsIx","7j4O788W3g","g55IO6H4Gj","TpPTUOHfaN","eewbuw0ToL","t8gj7n24qd","Asc51vEJeQ","oacrs7FA3X","P8v4zCKN1o","AF7qkfDlqP"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4006","layer":4},{"info":"number node, value=1635","layer":4},{"info":"compute binary expreesion, left_input=4006, right_input=1635, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1635","layer":3},{"info":"number node, value=5897","layer":4},{"info":"number node, value=2902","layer":4},{"info":"compute binary expreesion, left_input=5897, right_input=2902, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=17598","layer":3},{"info":"compute binary expreesion, left_input=1635, right_input=17598, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-30","layer":2},{"info":"number node, value=2611","layer":4},{"info":"number node, value=1245","layer":4},{"info":"compute binary expreesion, left_input=2611, right_input=1245, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1376","layer":3},{"info":"number node, value=3796","layer":4},{"info":"compute unary expreesion, input=3796, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-3796","layer":3},{"info":"compute binary expreesion, left_input=1376, right_input=-3796, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=-30, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-60","layer":1},{"info":"number node, value=1984","layer":4},{"info":"compute unary expreesion, input=1984, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2852","layer":3},{"info":"number node, value=8511","layer":4},{"info":"compute unary expreesion, input=8511, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-8238","layer":3},{"info":"compute binary expreesion, left_input=2852, right_input=-8238, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":2},{"info":"compute unary expreesion, input=-1, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=1","layer":1},{"info":"compute binary expreesion, left_input=-60, right_input=1, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮4006↺⊺⇮1635⩨(⊺⇮5897⨸⪁⊺⇮2902)⊉≛↸⊺⇮2611⨰⊺⇮1245+⇶⊼(-⊺⇮3796))⫥∨⫟(↣≠⋷((∥⊫⊺⇮1984)⪘⫢(⨑⩽⪐⊺⇮8511)))=NaN","reverse_text":"NaN=(⊺⇮4006↺⊺⇮1635⩨(⊺⇮5897⨸⪁⊺⇮2902)⊉≛↸⊺⇮2611⨰⊺⇮1245+⇶⊼(-⊺⇮3796))⫥∨⫟(↣≠⋷((∥⊫⊺⇮1984)⪘⫢(⨑⩽⪐⊺⇮8511)))","cot":[{"info":"⊺⇮4006↺⊺⇮1635=⊺⇮1635","layer":3},{"info":"⊺⇮5897⨸⪁⊺⇮2902=⊺⇮17598","layer":3},{"info":"⊺⇮1635⩨⊺⇮17598=⊺⇮-30","layer":2},{"info":"⊺⇮2611⨰⊺⇮1245=⊺⇮1376","layer":3},{"info":"-⊺⇮3796=⊺⇮-3796","layer":3},{"info":"⊺⇮1376+⇶⊼⊺⇮-3796=NaN","layer":2},{"info":"⊺⇮-30⊉≛↸NaN=⊺⇮-60","layer":1},{"info":"∥⊫⊺⇮1984=⊺⇮2852","layer":3},{"info":"⨑⩽⪐⊺⇮8511=⊺⇮-8238","layer":3},{"info":"⊺⇮2852⪘⫢⊺⇮-8238=⊺⇮-1","layer":2},{"info":"↣≠⋷⊺⇮-1=⊺⇮1","layer":1},{"info":"⊺⇮-60⫥∨⫟⊺⇮1=NaN","layer":0}]}
{"id":30,"expression_no_base_symbol":"((⨰⫟⨤$1584$⨪↰⇹$1727$)⋷($5006$⋷$1187$)⪘⫢($6283$⨽$3458$))⨽(((⪝⪂⫅$3001$)⪠⩆⊳)⩨($1895$⋓$1225$-$6394$⨽$1431$))","expression":"((⨰⫟⨤⊺⇮1584⨪↰⇹⊺⇮1727)⋷(⊺⇮5006⋷⊺⇮1187)⪘⫢(⊺⇮6283⨽⊺⇮3458))⨽(((⪝⪂⫅⊺⇮3001)⪠⩆⊳)⩨(⊺⇮1895⋓⊺⇮1225-⊺⇮6394⨽⊺⇮1431))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":19973,"operation_count":13,"complexity_ratio":1536.3846153846155,"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":1584,"base":10},"right_expr":{"type":"numeric_atoms","value":1727,"base":10}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":5006,"base":10},"right_expr":{"type":"numeric_atoms","value":1187,"base":10}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":6283,"base":10},"right_expr":{"type":"numeric_atoms","value":3458,"base":10}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":3001,"base":10}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1895,"base":10},"right_expr":{"type":"numeric_atoms","value":1225,"base":10}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":6394,"base":10},"right_expr":{"type":"numeric_atoms","value":1431,"base":10}}}}},"used_operators":["8HhzD0ZcuI","23Mk6UjR3U","Tw270M8GLb","tmPS8pqC7x","oacrs7FA3X","2DlMacCsIx","JLbD19bQDL","XTarYq4gQB","rysDP5nf3Z","T2fj7uvVaJ"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rJVOvQCfKK","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1584","layer":4},{"info":"number node, value=1727","layer":4},{"info":"compute binary expreesion, left_input=1584, right_input=1727, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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":"compute unary expreesion, input=1584, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=5006","layer":4},{"info":"number node, value=1187","layer":4},{"info":"compute binary expreesion, left_input=5006, right_input=1187, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-2632","layer":3},{"info":"number node, value=6283","layer":4},{"info":"number node, value=3458","layer":4},{"info":"compute binary expreesion, left_input=6283, right_input=3458, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-118437327","layer":3},{"info":"compute binary expreesion, left_input=-2632, right_input=-118437327, 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 = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":1},{"info":"number node, value=3001","layer":4},{"info":"compute unary expreesion, input=3001, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-441147","layer":3},{"info":"compute unary expreesion, input=-441147, 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=1895","layer":4},{"info":"number node, value=1225","layer":4},{"info":"compute binary expreesion, left_input=1895, right_input=1225, op_id = T2fj7uvVaJ binary_op_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=6394","layer":4},{"info":"number node, value=1431","layer":4},{"info":"compute binary expreesion, left_input=6394, right_input=1431, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-122652687","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-122652687, op_id = rysDP5nf3Z binary_op_definition= 'None', output=122652687","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=122652687, 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 = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⨰⫟⨤⊺⇮1584⨪↰⇹⊺⇮1727)⋷(⊺⇮5006⋷⊺⇮1187)⪘⫢(⊺⇮6283⨽⊺⇮3458))⨽(((⪝⪂⫅⊺⇮3001)⪠⩆⊳)⩨(⊺⇮1895⋓⊺⇮1225-⊺⇮6394⨽⊺⇮1431))=NaN","reverse_text":"NaN=((⨰⫟⨤⊺⇮1584⨪↰⇹⊺⇮1727)⋷(⊺⇮5006⋷⊺⇮1187)⪘⫢(⊺⇮6283⨽⊺⇮3458))⨽(((⪝⪂⫅⊺⇮3001)⪠⩆⊳)⩨(⊺⇮1895⋓⊺⇮1225-⊺⇮6394⨽⊺⇮1431))","cot":[{"info":"⊺⇮1584⨪↰⇹⊺⇮1727=⊺⇮1584","layer":3},{"info":"⨰⫟⨤⊺⇮1584=NaN","layer":2},{"info":"⊺⇮5006⋷⊺⇮1187=⊺⇮-2632","layer":3},{"info":"⊺⇮6283⨽⊺⇮3458=⊺⇮-118437327","layer":3},{"info":"⊺⇮-2632⪘⫢⊺⇮-118437327=⊺⇮-1","layer":2},{"info":"NaN⋷⊺⇮-1=NaN","layer":1},{"info":"⪝⪂⫅⊺⇮3001=⊺⇮-441147","layer":3},{"info":"⊺⇮-441147⪠⩆⊳=⊺⇮0","layer":2},{"info":"⊺⇮1895⋓⊺⇮1225=⊺⇮0","layer":3},{"info":"⊺⇮6394⨽⊺⇮1431=⊺⇮-122652687","layer":3},{"info":"⊺⇮0-⊺⇮-122652687=⊺⇮122652687","layer":2},{"info":"⊺⇮0⩨⊺⇮122652687=NaN","layer":1},{"info":"NaN⨽NaN=NaN","layer":0}]}
{"id":31,"expression_no_base_symbol":"($6438$⨓$2516$⋳⪒(⫓⪴$8683$)⪄(($2588$⪨≂$6910$)⊉≛↸$5804$⪛$3201$))↬(($5161$⪄$5511$)⋝⋈⪟(⪝⪂⫅$4147$))≹⇙⪍(($5377$≭$2000$)≫≃)","expression":"(⊺⇮6438⨓⊺⇮2516⋳⪒(⫓⪴⊺⇮8683)⪄((⊺⇮2588⪨≂⊺⇮6910)⊉≛↸⊺⇮5804⪛⊺⇮3201))↬((⊺⇮5161⪄⊺⇮5511)⋝⋈⪟(⪝⪂⫅⊺⇮4147))≹⇙⪍((⊺⇮5377≭⊺⇮2000)≫≃)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":11575,"operation_count":14,"complexity_ratio":826.7857142857143,"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":6438,"base":10},"right_expr":{"type":"numeric_atoms","value":2516,"base":10}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":8683,"base":10}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2588,"base":10},"right_expr":{"type":"numeric_atoms","value":6910,"base":10}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":5804,"base":10},"right_expr":{"type":"numeric_atoms","value":3201,"base":10}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":5161,"base":10},"right_expr":{"type":"numeric_atoms","value":5511,"base":10}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":4147,"base":10}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":5377,"base":10},"right_expr":{"type":"numeric_atoms","value":2000,"base":10}}}}},"used_operators":["B5M0gjZbta","SUmda5xLS4","12rbrZMWeM","3ViojmjbAp","eLxqMNBOBk","DZ8iAZOCBD","sdazOOVcIp","uFcxV4UQCh","AHs5Up7iyr","2DDjHMKMc0","XTarYq4gQB","X99M06cbEe","rxpJgHHUmx"],"dependent_operators":["rGHVDoGpnC","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6438","layer":4},{"info":"number node, value=2516","layer":4},{"info":"compute binary expreesion, left_input=6438, right_input=2516, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2519","layer":3},{"info":"number node, value=8683","layer":4},{"info":"compute unary expreesion, input=8683, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=75394489","layer":3},{"info":"compute binary expreesion, left_input=-2519, right_input=75394489, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-75399814","layer":2},{"info":"number node, value=2588","layer":4},{"info":"number node, value=6910","layer":4},{"info":"compute binary expreesion, left_input=2588, right_input=6910, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-8542","layer":3},{"info":"number node, value=5804","layer":4},{"info":"number node, value=3201","layer":4},{"info":"compute binary expreesion, left_input=5804, right_input=3201, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2603","layer":3},{"info":"compute binary expreesion, left_input=-8542, right_input=2603, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-2603","layer":2},{"info":"compute binary expreesion, left_input=-75399814, right_input=-2603, 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=5161","layer":4},{"info":"number node, value=5511","layer":4},{"info":"compute binary expreesion, left_input=5161, right_input=5511, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-781961","layer":3},{"info":"number node, value=4147","layer":4},{"info":"compute unary expreesion, input=4147, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-609609","layer":3},{"info":"compute binary expreesion, left_input=-781961, right_input=-609609, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-781961","layer":2},{"info":"number node, value=5377","layer":4},{"info":"number node, value=2000","layer":4},{"info":"compute binary expreesion, left_input=5377, right_input=2000, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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 = 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=-781961, 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=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":0}],"base":10,"result_base":10,"text":"(⊺⇮6438⨓⊺⇮2516⋳⪒(⫓⪴⊺⇮8683)⪄((⊺⇮2588⪨≂⊺⇮6910)⊉≛↸⊺⇮5804⪛⊺⇮3201))↬((⊺⇮5161⪄⊺⇮5511)⋝⋈⪟(⪝⪂⫅⊺⇮4147))≹⇙⪍((⊺⇮5377≭⊺⇮2000)≫≃)=NaN","reverse_text":"NaN=(⊺⇮6438⨓⊺⇮2516⋳⪒(⫓⪴⊺⇮8683)⪄((⊺⇮2588⪨≂⊺⇮6910)⊉≛↸⊺⇮5804⪛⊺⇮3201))↬((⊺⇮5161⪄⊺⇮5511)⋝⋈⪟(⪝⪂⫅⊺⇮4147))≹⇙⪍((⊺⇮5377≭⊺⇮2000)≫≃)","cot":[{"info":"⊺⇮6438⨓⊺⇮2516=⊺⇮-2519","layer":3},{"info":"⫓⪴⊺⇮8683=⊺⇮75394489","layer":3},{"info":"⊺⇮-2519⋳⪒⊺⇮75394489=⊺⇮-75399814","layer":2},{"info":"⊺⇮2588⪨≂⊺⇮6910=⊺⇮-8542","layer":3},{"info":"⊺⇮5804⪛⊺⇮3201=⊺⇮2603","layer":3},{"info":"⊺⇮-8542⊉≛↸⊺⇮2603=⊺⇮-2603","layer":2},{"info":"⊺⇮-75399814⪄⊺⇮-2603=⊺⇮3979","layer":1},{"info":"⊺⇮5161⪄⊺⇮5511=⊺⇮-781961","layer":3},{"info":"⪝⪂⫅⊺⇮4147=⊺⇮-609609","layer":3},{"info":"⊺⇮-781961⋝⋈⪟⊺⇮-609609=⊺⇮-781961","layer":2},{"info":"⊺⇮5377≭⊺⇮2000=NaN","layer":3},{"info":"NaN≫≃=NaN","layer":2},{"info":"⊺⇮-781961≹⇙⪍NaN=NaN","layer":1},{"info":"⊺⇮3979↬NaN=NaN","layer":0}]}
{"id":32,"expression_no_base_symbol":"(+⊝⨔($2461$⨵⪆$5395$↪⪝))⨎(↔(($1515$⊭∹↮)≭($2484$*$2906$)))","expression":"(+⊝⨔(⊺⇮2461⨵⪆⊺⇮5395↪⪝))⨎(↔((⊺⇮1515⊭∹↮)≭(⊺⇮2484*⊺⇮2906)))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2821,"operation_count":8,"complexity_ratio":352.625,"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":2461,"base":10},"right_expr":{"type":"numeric_atoms","value":5395,"base":10}}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1515,"base":10}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2484,"base":10},"right_expr":{"type":"numeric_atoms","value":2906,"base":10}}}}},"used_operators":["rJVOvQCfKK","DhbWaqg5eL","l07mrZUIn9","2DQ55sFlQl","ruOEQAzv1W","rxpJgHHUmx","xNBdhnnwKq","9HNa5Wba9A"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","AHs5Up7iyr","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe"],"result":"⊺⇮-134","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2461","layer":4},{"info":"number node, value=5395","layer":4},{"info":"compute binary expreesion, left_input=2461, right_input=5395, 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 = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=9789120","layer":2},{"info":"compute unary expreesion, input=9789120, 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=1515","layer":4},{"info":"compute unary expreesion, input=1515, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=3030","layer":3},{"info":"number node, value=2484","layer":4},{"info":"number node, value=2906","layer":4},{"info":"compute binary expreesion, left_input=2484, right_input=2906, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=7218504","layer":3},{"info":"compute binary expreesion, left_input=3030, right_input=7218504, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = 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=1522, right_input=-134, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-134","layer":0}],"base":10,"result_base":10,"text":"(+⊝⨔(⊺⇮2461⨵⪆⊺⇮5395↪⪝))⨎(↔((⊺⇮1515⊭∹↮)≭(⊺⇮2484*⊺⇮2906)))=⊺⇮-134","reverse_text":"⊺⇮-134=(+⊝⨔(⊺⇮2461⨵⪆⊺⇮5395↪⪝))⨎(↔((⊺⇮1515⊭∹↮)≭(⊺⇮2484*⊺⇮2906)))","cot":[{"info":"⊺⇮2461⨵⪆⊺⇮5395=⊺⇮160","layer":3},{"info":"⊺⇮160↪⪝=⊺⇮9789120","layer":2},{"info":"+⊝⨔⊺⇮9789120=⊺⇮1522","layer":1},{"info":"⊺⇮1515⊭∹↮=⊺⇮3030","layer":3},{"info":"⊺⇮2484*⊺⇮2906=⊺⇮7218504","layer":3},{"info":"⊺⇮3030≭⊺⇮7218504=NaN","layer":2},{"info":"↔NaN=⊺⇮-134","layer":1},{"info":"⊺⇮1522⨎⊺⇮-134=⊺⇮-134","layer":0}]}
{"id":33,"expression_no_base_symbol":"(≤/($2840$⨸⪁$7972$))⩚⊴⇥(↔(↽≂$4014$))*((⨈⫕$2274$)⪄(↽≂$2421$)⪒(($3125$*$1841$)⊦⊿))","expression":"(≤/(⊺⇮2840⨸⪁⊺⇮7972))⩚⊴⇥(↔(↽≂⊺⇮4014))*((⨈⫕⊺⇮2274)⪄(↽≂⊺⇮2421)⪒((⊺⇮3125*⊺⇮1841)⊦⊿))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":23465,"operation_count":12,"complexity_ratio":1955.4166666666667,"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":2840,"base":10},"right_expr":{"type":"numeric_atoms","value":7972,"base":10}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":4014,"base":10}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2274,"base":10}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2421,"base":10}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3125,"base":10},"right_expr":{"type":"numeric_atoms","value":1841,"base":10}}}}},"used_operators":["9HNa5Wba9A","NTOWxs364D","eLAdDNolq6","g55IO6H4Gj","ruOEQAzv1W","u6S6b8DprG","f6k1SAg4EE","SUmda5xLS4","megm06wKyl","14qkJME0vr"],"dependent_operators":["W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"Inf","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2840","layer":4},{"info":"number node, value=7972","layer":4},{"info":"compute binary expreesion, left_input=2840, right_input=7972, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=21624","layer":3},{"info":"compute unary expreesion, input=21624, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-21140","layer":2},{"info":"number node, value=4014","layer":4},{"info":"compute unary expreesion, input=4014, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-8028","layer":3},{"info":"compute unary expreesion, input=-8028, 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=-21140, right_input=-134, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=21153","layer":1},{"info":"number node, value=2274","layer":4},{"info":"compute unary expreesion, input=2274, 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=2421","layer":4},{"info":"compute unary expreesion, input=2421, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-4842","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-4842, 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=3125","layer":4},{"info":"number node, value=1841","layer":4},{"info":"compute binary expreesion, left_input=3125, right_input=1841, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=5753125","layer":3},{"info":"compute unary expreesion, input=5753125, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-17259454","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=-17259454, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=17255475","layer":1},{"info":"compute binary expreesion, left_input=21153, right_input=17255475, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=inf","layer":0}],"base":10,"result_base":10,"text":"(≤/(⊺⇮2840⨸⪁⊺⇮7972))⩚⊴⇥(↔(↽≂⊺⇮4014))*((⨈⫕⊺⇮2274)⪄(↽≂⊺⇮2421)⪒((⊺⇮3125*⊺⇮1841)⊦⊿))=Inf","reverse_text":"Inf=(≤/(⊺⇮2840⨸⪁⊺⇮7972))⩚⊴⇥(↔(↽≂⊺⇮4014))*((⨈⫕⊺⇮2274)⪄(↽≂⊺⇮2421)⪒((⊺⇮3125*⊺⇮1841)⊦⊿))","cot":[{"info":"⊺⇮2840⨸⪁⊺⇮7972=⊺⇮21624","layer":3},{"info":"≤/⊺⇮21624=⊺⇮-21140","layer":2},{"info":"↽≂⊺⇮4014=⊺⇮-8028","layer":3},{"info":"↔⊺⇮-8028=⊺⇮-134","layer":2},{"info":"⊺⇮-21140⩚⊴⇥⊺⇮-134=⊺⇮21153","layer":1},{"info":"⨈⫕⊺⇮2274=⊺⇮-21","layer":3},{"info":"↽≂⊺⇮2421=⊺⇮-4842","layer":3},{"info":"⊺⇮-21⪄⊺⇮-4842=⊺⇮3979","layer":2},{"info":"⊺⇮3125*⊺⇮1841=⊺⇮5753125","layer":3},{"info":"⊺⇮5753125⊦⊿=⊺⇮-17259454","layer":2},{"info":"⊺⇮3979⪒⊺⇮-17259454=⊺⇮17255475","layer":1},{"info":"⊺⇮21153*⊺⇮17255475=Inf","layer":0}]}
{"id":34,"expression_no_base_symbol":"≤/(($1585$∧)⨁⊸⫻)⨟⋌⩍($7109$≧⫂∧$7045$⋳⪒(↣≠⋷$2124$))","expression":"≤/((⊺⇮1585∧)⨁⊸⫻)⨟⋌⩍(⊺⇮7109≧⫂∧⊺⇮7045⋳⪒(↣≠⋷⊺⇮2124))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":20,"operation_count":7,"complexity_ratio":2.857142857142857,"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":1585,"base":10}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":7109,"base":10},"right_expr":{"type":"numeric_atoms","value":7045,"base":10}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2124,"base":10}}}}},"used_operators":["eLAdDNolq6","rGHVDoGpnC","glklzrTFfD","z63VuFQld9","12rbrZMWeM","Ph9nP6C5qx","Asc51vEJeQ"],"dependent_operators":["rysDP5nf3Z","Tcnh7f0tEr","W4YGzv6Whe","rysDP5nf3Z","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=1585","layer":4},{"info":"compute unary expreesion, input=1585, 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 = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=nan","layer":2},{"info":"number node, value=7109","layer":4},{"info":"number node, value=7045","layer":4},{"info":"compute binary expreesion, left_input=7109, right_input=7045, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=6572","layer":3},{"info":"number node, value=2124","layer":4},{"info":"compute unary expreesion, input=2124, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=6572, 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 = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"≤/((⊺⇮1585∧)⨁⊸⫻)⨟⋌⩍(⊺⇮7109≧⫂∧⊺⇮7045⋳⪒(↣≠⋷⊺⇮2124))=NaN","reverse_text":"NaN=≤/((⊺⇮1585∧)⨁⊸⫻)⨟⋌⩍(⊺⇮7109≧⫂∧⊺⇮7045⋳⪒(↣≠⋷⊺⇮2124))","cot":[{"info":"⊺⇮1585∧=NaN","layer":3},{"info":"NaN⨁⊸⫻=NaN","layer":2},{"info":"⊺⇮7109≧⫂∧⊺⇮7045=⊺⇮6572","layer":3},{"info":"↣≠⋷⊺⇮2124=NaN","layer":3},{"info":"⊺⇮6572⋳⪒NaN=NaN","layer":2},{"info":"NaN⨟⋌⩍NaN=NaN","layer":1},{"info":"≤/NaN=NaN","layer":0}]}
{"id":35,"expression_no_base_symbol":"(($4235$⋥≓≎$5729$⨵⪆(⨞⊢$2697$))⊉≛↸($1640$⪛$4802$⪨≂(⨵≀≌$4035$)))↙(⇁⨣⪵(≦∁(≉$1972$)))","expression":"((⊺⇮4235⋥≓≎⊺⇮5729⨵⪆(⨞⊢⊺⇮2697))⊉≛↸(⊺⇮1640⪛⊺⇮4802⪨≂(⨵≀≌⊺⇮4035)))↙(⇁⨣⪵(≦∁(≉⊺⇮1972)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":29,"operation_count":11,"complexity_ratio":2.6363636363636362,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4235,"base":10},"right_expr":{"type":"numeric_atoms","value":5729,"base":10}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2697,"base":10}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1640,"base":10},"right_expr":{"type":"numeric_atoms","value":4802,"base":10}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":4035,"base":10}}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1972,"base":10}}}}},"used_operators":["yyfyN0ffXY","DZ8iAZOCBD","2DQ55sFlQl","Qy55tPpLXF","xUOZtlo3hN","sdazOOVcIp","uFcxV4UQCh","srAu1WTS94","inkyxCbjAn","9ICcGScMcE","e1ybzncUwg"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","B5M0gjZbta","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4235","layer":4},{"info":"number node, value=5729","layer":4},{"info":"compute binary expreesion, left_input=4235, right_input=5729, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=7256","layer":3},{"info":"number node, value=2697","layer":4},{"info":"compute unary expreesion, input=2697, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2871","layer":3},{"info":"compute binary expreesion, left_input=7256, right_input=-2871, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=1640","layer":4},{"info":"number node, value=4802","layer":4},{"info":"compute binary expreesion, left_input=1640, right_input=4802, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1640","layer":3},{"info":"number node, value=4035","layer":4},{"info":"compute unary expreesion, input=4035, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-12105","layer":3},{"info":"compute binary expreesion, left_input=1640, right_input=-12105, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=27592","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=27592, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=320","layer":1},{"info":"number node, value=1972","layer":4},{"info":"compute unary expreesion, input=1972, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2503","layer":3},{"info":"compute unary expreesion, input=2503, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2503","layer":2},{"info":"compute unary expreesion, input=2503, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=320, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮4235⋥≓≎⊺⇮5729⨵⪆(⨞⊢⊺⇮2697))⊉≛↸(⊺⇮1640⪛⊺⇮4802⪨≂(⨵≀≌⊺⇮4035)))↙(⇁⨣⪵(≦∁(≉⊺⇮1972)))=NaN","reverse_text":"NaN=((⊺⇮4235⋥≓≎⊺⇮5729⨵⪆(⨞⊢⊺⇮2697))⊉≛↸(⊺⇮1640⪛⊺⇮4802⪨≂(⨵≀≌⊺⇮4035)))↙(⇁⨣⪵(≦∁(≉⊺⇮1972)))","cot":[{"info":"⊺⇮4235⋥≓≎⊺⇮5729=⊺⇮7256","layer":3},{"info":"⨞⊢⊺⇮2697=⊺⇮-2871","layer":3},{"info":"⊺⇮7256⨵⪆⊺⇮-2871=⊺⇮160","layer":2},{"info":"⊺⇮1640⪛⊺⇮4802=⊺⇮1640","layer":3},{"info":"⨵≀≌⊺⇮4035=⊺⇮-12105","layer":3},{"info":"⊺⇮1640⪨≂⊺⇮-12105=⊺⇮27592","layer":2},{"info":"⊺⇮160⊉≛↸⊺⇮27592=⊺⇮320","layer":1},{"info":"≉⊺⇮1972=⊺⇮2503","layer":3},{"info":"≦∁⊺⇮2503=⊺⇮2503","layer":2},{"info":"⇁⨣⪵⊺⇮2503=NaN","layer":1},{"info":"⊺⇮320↙NaN=NaN","layer":0}]}
{"id":36,"expression_no_base_symbol":"(⇁⨣⪵($3098$⊉≛↸$1004$)⨟⋌⩍(+⊝⨔$2592$))⊉≛↸($7444$⋥≓≎$2200$)⪘⫢($1189$⊘)≎⊠⪸($3321$⊴$1588$⫸⊐$7527$⋝⋈⪟$3013$)","expression":"(⇁⨣⪵(⊺⇮3098⊉≛↸⊺⇮1004)⨟⋌⩍(+⊝⨔⊺⇮2592))⊉≛↸(⊺⇮7444⋥≓≎⊺⇮2200)⪘⫢(⊺⇮1189⊘)≎⊠⪸(⊺⇮3321⊴⊺⇮1588⫸⊐⊺⇮7527⋝⋈⪟⊺⇮3013)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2175,"operation_count":12,"complexity_ratio":181.25,"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":3098,"base":10},"right_expr":{"type":"numeric_atoms","value":1004,"base":10}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2592,"base":10}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":7444,"base":10},"right_expr":{"type":"numeric_atoms","value":2200,"base":10}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1189,"base":10}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3321,"base":10},"right_expr":{"type":"numeric_atoms","value":1588,"base":10}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":7527,"base":10},"right_expr":{"type":"numeric_atoms","value":3013,"base":10}}}}},"used_operators":["DZ8iAZOCBD","inkyxCbjAn","rGHVDoGpnC","DhbWaqg5eL","bJkvcejdHO","oacrs7FA3X","Qy55tPpLXF","gu96TGCTMs","mqXw5SEYmG","Nsiff2A1zJ","2DDjHMKMc0"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","Tcnh7f0tEr","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3098","layer":4},{"info":"number node, value=1004","layer":4},{"info":"compute binary expreesion, left_input=3098, right_input=1004, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6196","layer":3},{"info":"number node, value=2592","layer":4},{"info":"compute unary expreesion, input=2592, 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=6196, right_input=1522, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"number node, value=7444","layer":4},{"info":"number node, value=2200","layer":4},{"info":"compute binary expreesion, left_input=7444, right_input=2200, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-3011","layer":3},{"info":"number node, value=1189","layer":4},{"info":"compute unary expreesion, input=1189, 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=-3011, 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":"number node, value=3321","layer":4},{"info":"number node, value=1588","layer":4},{"info":"compute binary expreesion, left_input=3321, right_input=1588, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=7527","layer":4},{"info":"number node, value=3013","layer":4},{"info":"compute binary expreesion, left_input=7527, right_input=3013, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=7527","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7527, 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 = 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 = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⇁⨣⪵(⊺⇮3098⊉≛↸⊺⇮1004)⨟⋌⩍(+⊝⨔⊺⇮2592))⊉≛↸(⊺⇮7444⋥≓≎⊺⇮2200)⪘⫢(⊺⇮1189⊘)≎⊠⪸(⊺⇮3321⊴⊺⇮1588⫸⊐⊺⇮7527⋝⋈⪟⊺⇮3013)=NaN","reverse_text":"NaN=(⇁⨣⪵(⊺⇮3098⊉≛↸⊺⇮1004)⨟⋌⩍(+⊝⨔⊺⇮2592))⊉≛↸(⊺⇮7444⋥≓≎⊺⇮2200)⪘⫢(⊺⇮1189⊘)≎⊠⪸(⊺⇮3321⊴⊺⇮1588⫸⊐⊺⇮7527⋝⋈⪟⊺⇮3013)","cot":[{"info":"⊺⇮3098⊉≛↸⊺⇮1004=⊺⇮6196","layer":3},{"info":"+⊝⨔⊺⇮2592=⊺⇮1522","layer":3},{"info":"⊺⇮6196⨟⋌⩍⊺⇮1522=NaN","layer":2},{"info":"⇁⨣⪵NaN=NaN","layer":1},{"info":"⊺⇮7444⋥≓≎⊺⇮2200=⊺⇮-3011","layer":3},{"info":"⊺⇮1189⊘=⊺⇮0","layer":3},{"info":"⊺⇮-3011⪘⫢⊺⇮0=⊺⇮-1","layer":2},{"info":"⊺⇮3321⊴⊺⇮1588=NaN","layer":3},{"info":"⊺⇮7527⋝⋈⪟⊺⇮3013=⊺⇮7527","layer":3},{"info":"NaN⫸⊐⊺⇮7527=NaN","layer":2},{"info":"⊺⇮-1≎⊠⪸NaN=⊺⇮67","layer":1},{"info":"NaN⊉≛↸⊺⇮67=NaN","layer":0}]}
{"id":37,"expression_no_base_symbol":"(⊥$4534$)↬(⨞⊢$3462$)⋓((⇁⨣⪵$1848$)⩷∴($7269$⪨≂$4359$))-($2829$≎⊠⪸$1083$⪒($6102$/$4144$))⨳⩥⨓($1114$-$5454$)⨰($3311$∸)","expression":"(⊥⊺⇮4534)↬(⨞⊢⊺⇮3462)⋓((⇁⨣⪵⊺⇮1848)⩷∴(⊺⇮7269⪨≂⊺⇮4359))-(⊺⇮2829≎⊠⪸⊺⇮1083⪒(⊺⇮6102/⊺⇮4144))⨳⩥⨓(⊺⇮1114-⊺⇮5454)⨰(⊺⇮3311∸)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":491,"operation_count":15,"complexity_ratio":32.733333333333334,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":4534,"base":10}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":3462,"base":10}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1848,"base":10}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":7269,"base":10},"right_expr":{"type":"numeric_atoms","value":4359,"base":10}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2829,"base":10},"right_expr":{"type":"numeric_atoms","value":1083,"base":10}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":6102,"base":10},"right_expr":{"type":"numeric_atoms","value":4144,"base":10}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1114,"base":10},"right_expr":{"type":"numeric_atoms","value":5454,"base":10}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":3311,"base":10}}}}},"used_operators":["rysDP5nf3Z","T2fj7uvVaJ","B5M0gjZbta","Q3PJZHRvZv","xUOZtlo3hN","9FxExcQeMw","inkyxCbjAn","sdazOOVcIp","nCS4ZIUYfx","f6k1SAg4EE","bJkvcejdHO","XhwjNDsVaA","eewbuw0ToL","o20kRiQErp"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rGHVDoGpnC","fu6greOZ01","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4534","layer":4},{"info":"compute unary expreesion, input=4534, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=3462","layer":4},{"info":"compute unary expreesion, input=3462, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-3636","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3636, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1848","layer":4},{"info":"compute unary expreesion, input=1848, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=7269","layer":4},{"info":"number node, value=4359","layer":4},{"info":"compute binary expreesion, left_input=7269, right_input=4359, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=5922","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5922, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":1},{"info":"number node, value=2829","layer":4},{"info":"number node, value=1083","layer":4},{"info":"compute binary expreesion, left_input=2829, right_input=1083, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=732238","layer":3},{"info":"number node, value=6102","layer":4},{"info":"number node, value=4144","layer":4},{"info":"compute binary expreesion, left_input=6102, right_input=4144, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=732238, right_input=1, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-732239","layer":2},{"info":"number node, value=1114","layer":4},{"info":"number node, value=5454","layer":4},{"info":"compute binary expreesion, left_input=1114, right_input=5454, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-4340","layer":3},{"info":"number node, value=3311","layer":4},{"info":"compute unary expreesion, input=3311, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=-4340, right_input=177, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-4507","layer":2},{"info":"compute binary expreesion, left_input=-732239, right_input=-4507, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=727732","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=727732, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊥⊺⇮4534)↬(⨞⊢⊺⇮3462)⋓((⇁⨣⪵⊺⇮1848)⩷∴(⊺⇮7269⪨≂⊺⇮4359))-(⊺⇮2829≎⊠⪸⊺⇮1083⪒(⊺⇮6102/⊺⇮4144))⨳⩥⨓(⊺⇮1114-⊺⇮5454)⨰(⊺⇮3311∸)=NaN","reverse_text":"NaN=(⊥⊺⇮4534)↬(⨞⊢⊺⇮3462)⋓((⇁⨣⪵⊺⇮1848)⩷∴(⊺⇮7269⪨≂⊺⇮4359))-(⊺⇮2829≎⊠⪸⊺⇮1083⪒(⊺⇮6102/⊺⇮4144))⨳⩥⨓(⊺⇮1114-⊺⇮5454)⨰(⊺⇮3311∸)","cot":[{"info":"⊥⊺⇮4534=NaN","layer":3},{"info":"⨞⊢⊺⇮3462=⊺⇮-3636","layer":3},{"info":"NaN↬⊺⇮-3636=NaN","layer":2},{"info":"⇁⨣⪵⊺⇮1848=NaN","layer":3},{"info":"⊺⇮7269⪨≂⊺⇮4359=⊺⇮5922","layer":3},{"info":"NaN⩷∴⊺⇮5922=NaN","layer":2},{"info":"NaN⋓NaN=NaN","layer":1},{"info":"⊺⇮2829≎⊠⪸⊺⇮1083=⊺⇮732238","layer":3},{"info":"⊺⇮6102/⊺⇮4144=⊺⇮1","layer":3},{"info":"⊺⇮732238⪒⊺⇮1=⊺⇮-732239","layer":2},{"info":"⊺⇮1114-⊺⇮5454=⊺⇮-4340","layer":3},{"info":"⊺⇮3311∸=⊺⇮177","layer":3},{"info":"⊺⇮-4340⨰⊺⇮177=⊺⇮-4507","layer":2},{"info":"⊺⇮-732239⨳⩥⨓⊺⇮-4507=⊺⇮727732","layer":1},{"info":"NaN-⊺⇮727732=NaN","layer":0}]}
{"id":38,"expression_no_base_symbol":"(⊄⩳↩(↽≂$1523$)↬$7236$⨟⋌⩍$2119$)⋳⪒(⨈⫕($2901$⨰$6736$)⪘⫢(∂$6600$))","expression":"(⊄⩳↩(↽≂⊺⇮1523)↬⊺⇮7236⨟⋌⩍⊺⇮2119)⋳⪒(⨈⫕(⊺⇮2901⨰⊺⇮6736)⪘⫢(∂⊺⇮6600))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":417,"operation_count":9,"complexity_ratio":46.333333333333336,"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":1523,"base":10}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":7236,"base":10},"right_expr":{"type":"numeric_atoms","value":2119,"base":10}}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2901,"base":10},"right_expr":{"type":"numeric_atoms","value":6736,"base":10}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":6600,"base":10}}}}},"used_operators":["12rbrZMWeM","8w2t5hMYqp","B5M0gjZbta","u6S6b8DprG","rGHVDoGpnC","megm06wKyl","oacrs7FA3X","eewbuw0ToL","Uaa54Peajs"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1523","layer":4},{"info":"compute unary expreesion, input=1523, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-3046","layer":3},{"info":"number node, value=7236","layer":4},{"info":"number node, value=2119","layer":4},{"info":"compute binary expreesion, left_input=7236, right_input=2119, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=-3046, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":1},{"info":"number node, value=2901","layer":4},{"info":"number node, value=6736","layer":4},{"info":"compute binary expreesion, left_input=2901, right_input=6736, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-3825","layer":3},{"info":"number node, value=6600","layer":4},{"info":"compute unary expreesion, input=6600, 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=-3825, 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 = 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 = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊄⩳↩(↽≂⊺⇮1523)↬⊺⇮7236⨟⋌⩍⊺⇮2119)⋳⪒(⨈⫕(⊺⇮2901⨰⊺⇮6736)⪘⫢(∂⊺⇮6600))=NaN","reverse_text":"NaN=(⊄⩳↩(↽≂⊺⇮1523)↬⊺⇮7236⨟⋌⩍⊺⇮2119)⋳⪒(⨈⫕(⊺⇮2901⨰⊺⇮6736)⪘⫢(∂⊺⇮6600))","cot":[{"info":"↽≂⊺⇮1523=⊺⇮-3046","layer":3},{"info":"⊺⇮7236⨟⋌⩍⊺⇮2119=NaN","layer":3},{"info":"⊺⇮-3046↬NaN=NaN","layer":2},{"info":"⊄⩳↩NaN=NaN","layer":1},{"info":"⊺⇮2901⨰⊺⇮6736=⊺⇮-3825","layer":3},{"info":"∂⊺⇮6600=NaN","layer":3},{"info":"⊺⇮-3825⪘⫢NaN=NaN","layer":2},{"info":"⨈⫕NaN=⊺⇮-21","layer":1},{"info":"NaN⋳⪒⊺⇮-21=NaN","layer":0}]}
{"id":39,"expression_no_base_symbol":"((↽≂$3574$⨟⋌⩍$6456$)⊦⊿)⇼⇔∾(+⊝⨔(($3610$⪄$3124$)⨽(+⊝⨔$1903$)))","expression":"((↽≂⊺⇮3574⨟⋌⩍⊺⇮6456)⊦⊿)⇼⇔∾(+⊝⨔((⊺⇮3610⪄⊺⇮3124)⨽(+⊝⨔⊺⇮1903)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":543041,"operation_count":8,"complexity_ratio":67880.125,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3574,"base":10},"right_expr":{"type":"numeric_atoms","value":6456,"base":10}}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3610,"base":10},"right_expr":{"type":"numeric_atoms","value":3124,"base":10}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1903,"base":10}}}}},"used_operators":["tifHPKVTfV","14qkJME0vr","u6S6b8DprG","rGHVDoGpnC","DhbWaqg5eL","8HhzD0ZcuI","SUmda5xLS4"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3574","layer":4},{"info":"number node, value=6456","layer":4},{"info":"compute binary expreesion, left_input=3574, right_input=6456, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=nan","layer":2},{"info":"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=3610","layer":4},{"info":"number node, value=3124","layer":4},{"info":"compute binary expreesion, left_input=3610, right_input=3124, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-542865","layer":3},{"info":"number node, value=1903","layer":4},{"info":"compute unary expreesion, input=1903, 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=-542865, right_input=1522, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":2},{"info":"compute unary expreesion, input=-inf, 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 = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((↽≂⊺⇮3574⨟⋌⩍⊺⇮6456)⊦⊿)⇼⇔∾(+⊝⨔((⊺⇮3610⪄⊺⇮3124)⨽(+⊝⨔⊺⇮1903)))=NaN","reverse_text":"NaN=((↽≂⊺⇮3574⨟⋌⩍⊺⇮6456)⊦⊿)⇼⇔∾(+⊝⨔((⊺⇮3610⪄⊺⇮3124)⨽(+⊝⨔⊺⇮1903)))","cot":[{"info":"⊺⇮3574⨟⋌⩍⊺⇮6456=NaN","layer":3},{"info":"↽≂NaN=NaN","layer":2},{"info":"NaN⊦⊿=NaN","layer":1},{"info":"⊺⇮3610⪄⊺⇮3124=⊺⇮-542865","layer":3},{"info":"+⊝⨔⊺⇮1903=⊺⇮1522","layer":3},{"info":"⊺⇮-542865⨽⊺⇮1522=-Inf","layer":2},{"info":"+⊝⨔-Inf=⊺⇮1522","layer":1},{"info":"NaN⇼⇔∾⊺⇮1522=NaN","layer":0}]}
{"id":40,"expression_no_base_symbol":"((⫛⫱⨽($1062$≹⇙⪍$2922$))⊉≛↸($5024$⫡⨏$1041$)⨳⩥⨓$1078$⨰$1700$)⨳⩥⨓(($5123$∸)⋝⋈⪟($4976$⨳⩥⨓$4894$)⪄($2874$⋝⋈⪟$4426$/$1465$∲⫓$2587$))","expression":"((⫛⫱⨽(⊺⇮1062≹⇙⪍⊺⇮2922))⊉≛↸(⊺⇮5024⫡⨏⊺⇮1041)⨳⩥⨓⊺⇮1078⨰⊺⇮1700)⨳⩥⨓((⊺⇮5123∸)⋝⋈⪟(⊺⇮4976⨳⩥⨓⊺⇮4894)⪄(⊺⇮2874⋝⋈⪟⊺⇮4426/⊺⇮1465∲⫓⊺⇮2587))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1217,"operation_count":14,"complexity_ratio":86.92857142857143,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1062,"base":10},"right_expr":{"type":"numeric_atoms","value":2922,"base":10}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":5024,"base":10},"right_expr":{"type":"numeric_atoms","value":1041,"base":10}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1078,"base":10},"right_expr":{"type":"numeric_atoms","value":1700,"base":10}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":5123,"base":10}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4976,"base":10},"right_expr":{"type":"numeric_atoms","value":4894,"base":10}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2874,"base":10},"right_expr":{"type":"numeric_atoms","value":4426,"base":10}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1465,"base":10},"right_expr":{"type":"numeric_atoms","value":2587,"base":10}}}}},"used_operators":["nCS4ZIUYfx","DZ8iAZOCBD","DlLNRPXxWL","AHs5Up7iyr","QMFrweE19q","eewbuw0ToL","SUmda5xLS4","2DDjHMKMc0","o20kRiQErp","XhwjNDsVaA","i8ToyICDmI"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1062","layer":4},{"info":"number node, value=2922","layer":4},{"info":"compute binary expreesion, left_input=1062, right_input=2922, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=5024","layer":4},{"info":"number node, value=1041","layer":4},{"info":"compute binary expreesion, left_input=5024, right_input=1041, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=27985","layer":3},{"info":"number node, value=1078","layer":4},{"info":"number node, value=1700","layer":4},{"info":"compute binary expreesion, left_input=1078, right_input=1700, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-612","layer":3},{"info":"compute binary expreesion, left_input=27985, right_input=-612, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-28597","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-28597, 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=5123","layer":4},{"info":"compute unary expreesion, input=5123, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=4976","layer":4},{"info":"number node, value=4894","layer":4},{"info":"compute binary expreesion, left_input=4976, right_input=4894, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-82","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=-82, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=177","layer":2},{"info":"number node, value=2874","layer":4},{"info":"number node, value=4426","layer":4},{"info":"compute binary expreesion, left_input=2874, right_input=4426, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2874","layer":3},{"info":"number node, value=1465","layer":4},{"info":"number node, value=2587","layer":4},{"info":"compute binary expreesion, left_input=1465, right_input=2587, 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=2874, right_input=0, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=177, 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 = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⫛⫱⨽(⊺⇮1062≹⇙⪍⊺⇮2922))⊉≛↸(⊺⇮5024⫡⨏⊺⇮1041)⨳⩥⨓⊺⇮1078⨰⊺⇮1700)⨳⩥⨓((⊺⇮5123∸)⋝⋈⪟(⊺⇮4976⨳⩥⨓⊺⇮4894)⪄(⊺⇮2874⋝⋈⪟⊺⇮4426/⊺⇮1465∲⫓⊺⇮2587))=NaN","reverse_text":"NaN=((⫛⫱⨽(⊺⇮1062≹⇙⪍⊺⇮2922))⊉≛↸(⊺⇮5024⫡⨏⊺⇮1041)⨳⩥⨓⊺⇮1078⨰⊺⇮1700)⨳⩥⨓((⊺⇮5123∸)⋝⋈⪟(⊺⇮4976⨳⩥⨓⊺⇮4894)⪄(⊺⇮2874⋝⋈⪟⊺⇮4426/⊺⇮1465∲⫓⊺⇮2587))","cot":[{"info":"⊺⇮1062≹⇙⪍⊺⇮2922=NaN","layer":3},{"info":"⫛⫱⨽NaN=NaN","layer":2},{"info":"⊺⇮5024⫡⨏⊺⇮1041=⊺⇮27985","layer":3},{"info":"⊺⇮1078⨰⊺⇮1700=⊺⇮-612","layer":3},{"info":"⊺⇮27985⨳⩥⨓⊺⇮-612=⊺⇮-28597","layer":2},{"info":"NaN⊉≛↸⊺⇮-28597=NaN","layer":1},{"info":"⊺⇮5123∸=⊺⇮177","layer":3},{"info":"⊺⇮4976⨳⩥⨓⊺⇮4894=⊺⇮-82","layer":3},{"info":"⊺⇮177⋝⋈⪟⊺⇮-82=⊺⇮177","layer":2},{"info":"⊺⇮2874⋝⋈⪟⊺⇮4426=⊺⇮2874","layer":3},{"info":"⊺⇮1465∲⫓⊺⇮2587=⊺⇮0","layer":3},{"info":"⊺⇮2874/⊺⇮0=NaN","layer":2},{"info":"⊺⇮177⪄NaN=NaN","layer":1},{"info":"NaN⨳⩥⨓NaN=NaN","layer":0}]}
{"id":41,"expression_no_base_symbol":"↽≂(⪲⇎(≦∁$1224$))∀⇚≩(⨰⫟⨤($3104$⫩⊇))","expression":"↽≂(⪲⇎(≦∁⊺⇮1224))∀⇚≩(⨰⫟⨤(⊺⇮3104⫩⊇))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":30284,"operation_count":6,"complexity_ratio":5047.333333333333,"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":1224,"base":10}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":3104,"base":10}}}}},"used_operators":["u6S6b8DprG","LRNGc0VcxI","XPYlsWDdGa","9ICcGScMcE","Tw270M8GLb","BjRHVeLaeN"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1224","layer":4},{"info":"compute unary expreesion, input=1224, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1224","layer":3},{"info":"compute unary expreesion, input=1224, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2448","layer":2},{"info":"number node, value=3104","layer":4},{"info":"compute unary expreesion, input=3104, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-3062","layer":3},{"info":"compute unary expreesion, input=-3062, 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=2448, 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 = 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":10,"result_base":10,"text":"↽≂(⪲⇎(≦∁⊺⇮1224))∀⇚≩(⨰⫟⨤(⊺⇮3104⫩⊇))=NaN","reverse_text":"NaN=↽≂(⪲⇎(≦∁⊺⇮1224))∀⇚≩(⨰⫟⨤(⊺⇮3104⫩⊇))","cot":[{"info":"≦∁⊺⇮1224=⊺⇮1224","layer":3},{"info":"⪲⇎⊺⇮1224=⊺⇮2448","layer":2},{"info":"⊺⇮3104⫩⊇=⊺⇮-3062","layer":3},{"info":"⨰⫟⨤⊺⇮-3062=NaN","layer":2},{"info":"⊺⇮2448∀⇚≩NaN=NaN","layer":1},{"info":"↽≂NaN=NaN","layer":0}]}
{"id":42,"expression_no_base_symbol":"↔(($1989$⊭↱$3028$)∀⇚≩(⨰⫟⨤$1098$)⫸⊐((↽≂$2387$)≫≃))","expression":"↔((⊺⇮1989⊭↱⊺⇮3028)∀⇚≩(⨰⫟⨤⊺⇮1098)⫸⊐((↽≂⊺⇮2387)≫≃))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":18175,"operation_count":7,"complexity_ratio":2596.4285714285716,"tree":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1989,"base":10},"right_expr":{"type":"numeric_atoms","value":3028,"base":10}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1098,"base":10}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2387,"base":10}}}}},"used_operators":["ruOEQAzv1W","mqXw5SEYmG","LRNGc0VcxI","COABgblf1C","Tw270M8GLb","X99M06cbEe","u6S6b8DprG"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⊺⇮-134","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1989","layer":4},{"info":"number node, value=3028","layer":4},{"info":"compute binary expreesion, left_input=1989, right_input=3028, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=2083","layer":3},{"info":"number node, value=1098","layer":4},{"info":"compute unary expreesion, input=1098, 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=2083, 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=2387","layer":4},{"info":"compute unary expreesion, input=2387, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-4774","layer":3},{"info":"compute unary expreesion, input=-4774, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=-8147","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-8147, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":0}],"base":10,"result_base":10,"text":"↔((⊺⇮1989⊭↱⊺⇮3028)∀⇚≩(⨰⫟⨤⊺⇮1098)⫸⊐((↽≂⊺⇮2387)≫≃))=⊺⇮-134","reverse_text":"⊺⇮-134=↔((⊺⇮1989⊭↱⊺⇮3028)∀⇚≩(⨰⫟⨤⊺⇮1098)⫸⊐((↽≂⊺⇮2387)≫≃))","cot":[{"info":"⊺⇮1989⊭↱⊺⇮3028=⊺⇮2083","layer":3},{"info":"⨰⫟⨤⊺⇮1098=NaN","layer":3},{"info":"⊺⇮2083∀⇚≩NaN=NaN","layer":2},{"info":"↽≂⊺⇮2387=⊺⇮-4774","layer":3},{"info":"⊺⇮-4774≫≃=⊺⇮-8147","layer":2},{"info":"NaN⫸⊐⊺⇮-8147=NaN","layer":1},{"info":"↔NaN=⊺⇮-134","layer":0}]}
{"id":43,"expression_no_base_symbol":"≤/(($1869$⊠≄⫣)↺($1159$∲⫓$7003$))⩷∴($6131$↙$2809$⪄$2838$⨽$3613$)","expression":"≤/((⊺⇮1869⊠≄⫣)↺(⊺⇮1159∲⫓⊺⇮7003))⩷∴(⊺⇮6131↙⊺⇮2809⪄⊺⇮2838⨽⊺⇮3613)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":5765,"operation_count":8,"complexity_ratio":720.625,"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":1869,"base":10}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1159,"base":10},"right_expr":{"type":"numeric_atoms","value":7003,"base":10}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":6131,"base":10},"right_expr":{"type":"numeric_atoms","value":2809,"base":10}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2838,"base":10},"right_expr":{"type":"numeric_atoms","value":3613,"base":10}}}}},"used_operators":["eLAdDNolq6","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd","i8ToyICDmI","SUmda5xLS4","yyfyN0ffXY","8HhzD0ZcuI"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","tmPS8pqC7x","DpFCA1CohY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"⊺⇮8474","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1869","layer":4},{"info":"compute unary expreesion, input=1869, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=1159","layer":4},{"info":"number node, value=7003","layer":4},{"info":"compute binary expreesion, left_input=1159, right_input=7003, 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 = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=0","layer":2},{"info":"number node, value=6131","layer":4},{"info":"number node, value=2809","layer":4},{"info":"compute binary expreesion, left_input=6131, right_input=2809, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-8427","layer":3},{"info":"number node, value=2838","layer":4},{"info":"number node, value=3613","layer":4},{"info":"compute binary expreesion, left_input=2838, right_input=3613, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-24172257","layer":3},{"info":"compute binary expreesion, left_input=-8427, right_input=-24172257, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=3979, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-7990","layer":1},{"info":"compute unary expreesion, input=-7990, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=8474","layer":0}],"base":10,"result_base":10,"text":"≤/((⊺⇮1869⊠≄⫣)↺(⊺⇮1159∲⫓⊺⇮7003))⩷∴(⊺⇮6131↙⊺⇮2809⪄⊺⇮2838⨽⊺⇮3613)=⊺⇮8474","reverse_text":"⊺⇮8474=≤/((⊺⇮1869⊠≄⫣)↺(⊺⇮1159∲⫓⊺⇮7003))⩷∴(⊺⇮6131↙⊺⇮2809⪄⊺⇮2838⨽⊺⇮3613)","cot":[{"info":"⊺⇮1869⊠≄⫣=⊺⇮0","layer":3},{"info":"⊺⇮1159∲⫓⊺⇮7003=⊺⇮0","layer":3},{"info":"⊺⇮0↺⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮6131↙⊺⇮2809=⊺⇮-8427","layer":3},{"info":"⊺⇮2838⨽⊺⇮3613=⊺⇮-24172257","layer":3},{"info":"⊺⇮-8427⪄⊺⇮-24172257=⊺⇮3979","layer":2},{"info":"⊺⇮0⩷∴⊺⇮3979=⊺⇮-7990","layer":1},{"info":"≤/⊺⇮-7990=⊺⇮8474","layer":0}]}
{"id":44,"expression_no_base_symbol":"($2482$↙$4910$)⨪↰⇹($6641$⨎$2174$)≧⫂∧(($1861$⩤)⊦⊿)⨐⩸⫘($3314$⋥≓≎$6107$↪⪝)⪮%⊝(($4122$⨰$2168$)∑⇟⊟($4973$⨁⊸⫻))","expression":"(⊺⇮2482↙⊺⇮4910)⨪↰⇹(⊺⇮6641⨎⊺⇮2174)≧⫂∧((⊺⇮1861⩤)⊦⊿)⨐⩸⫘(⊺⇮3314⋥≓≎⊺⇮6107↪⪝)⪮%⊝((⊺⇮4122⨰⊺⇮2168)∑⇟⊟(⊺⇮4973⨁⊸⫻))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":20374,"operation_count":13,"complexity_ratio":1567.2307692307693,"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":2482,"base":10},"right_expr":{"type":"numeric_atoms","value":4910,"base":10}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":6641,"base":10},"right_expr":{"type":"numeric_atoms","value":2174,"base":10}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1861,"base":10}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3314,"base":10},"right_expr":{"type":"numeric_atoms","value":6107,"base":10}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4122,"base":10},"right_expr":{"type":"numeric_atoms","value":2168,"base":10}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":4973,"base":10}}}}},"used_operators":["fu6greOZ01","Ph9nP6C5qx","tmPS8pqC7x","yyfyN0ffXY","rJVOvQCfKK","14qkJME0vr","Z2TMIBDE3Q","IWmyXbctLI","l07mrZUIn9","Qy55tPpLXF","U7g4x0WXJJ","eewbuw0ToL","glklzrTFfD"],"dependent_operators":["3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","tmPS8pqC7x","DpFCA1CohY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2482","layer":4},{"info":"number node, value=4910","layer":4},{"info":"compute binary expreesion, left_input=2482, right_input=4910, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-14730","layer":3},{"info":"number node, value=6641","layer":4},{"info":"number node, value=2174","layer":4},{"info":"compute binary expreesion, left_input=6641, right_input=2174, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2174","layer":3},{"info":"compute binary expreesion, left_input=-14730, right_input=2174, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=-14730","layer":2},{"info":"number node, value=1861","layer":4},{"info":"compute unary expreesion, input=1861, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1861","layer":3},{"info":"compute unary expreesion, input=-1861, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=5504","layer":2},{"info":"compute binary expreesion, left_input=-14730, right_input=5504, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5031","layer":1},{"info":"number node, value=3314","layer":4},{"info":"number node, value=6107","layer":4},{"info":"compute binary expreesion, left_input=3314, right_input=6107, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=8933","layer":3},{"info":"compute unary expreesion, input=8933, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=546538806","layer":2},{"info":"number node, value=4122","layer":4},{"info":"number node, value=2168","layer":4},{"info":"compute binary expreesion, left_input=4122, right_input=2168, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1964","layer":3},{"info":"number node, value=4973","layer":4},{"info":"compute unary expreesion, input=4973, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=4973","layer":3},{"info":"compute binary expreesion, left_input=1964, right_input=4973, 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=546538806, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=5031, 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":10,"result_base":10,"text":"(⊺⇮2482↙⊺⇮4910)⨪↰⇹(⊺⇮6641⨎⊺⇮2174)≧⫂∧((⊺⇮1861⩤)⊦⊿)⨐⩸⫘(⊺⇮3314⋥≓≎⊺⇮6107↪⪝)⪮%⊝((⊺⇮4122⨰⊺⇮2168)∑⇟⊟(⊺⇮4973⨁⊸⫻))=NaN","reverse_text":"NaN=(⊺⇮2482↙⊺⇮4910)⨪↰⇹(⊺⇮6641⨎⊺⇮2174)≧⫂∧((⊺⇮1861⩤)⊦⊿)⨐⩸⫘(⊺⇮3314⋥≓≎⊺⇮6107↪⪝)⪮%⊝((⊺⇮4122⨰⊺⇮2168)∑⇟⊟(⊺⇮4973⨁⊸⫻))","cot":[{"info":"⊺⇮2482↙⊺⇮4910=⊺⇮-14730","layer":3},{"info":"⊺⇮6641⨎⊺⇮2174=⊺⇮2174","layer":3},{"info":"⊺⇮-14730⨪↰⇹⊺⇮2174=⊺⇮-14730","layer":2},{"info":"⊺⇮1861⩤=⊺⇮-1861","layer":3},{"info":"⊺⇮-1861⊦⊿=⊺⇮5504","layer":2},{"info":"⊺⇮-14730≧⫂∧⊺⇮5504=⊺⇮5031","layer":1},{"info":"⊺⇮3314⋥≓≎⊺⇮6107=⊺⇮8933","layer":3},{"info":"⊺⇮8933↪⪝=⊺⇮546538806","layer":2},{"info":"⊺⇮4122⨰⊺⇮2168=⊺⇮1964","layer":3},{"info":"⊺⇮4973⨁⊸⫻=⊺⇮4973","layer":3},{"info":"⊺⇮1964∑⇟⊟⊺⇮4973=NaN","layer":2},{"info":"⊺⇮546538806⪮%⊝NaN=NaN","layer":1},{"info":"⊺⇮5031⨐⩸⫘NaN=NaN","layer":0}]}
{"id":45,"expression_no_base_symbol":"((⨰⫟⨤($1200$⨸⪁$2712$))⩚⊴⇥(∂($3717$⩠)))∀⇚≩((⨑⩽⪐($1353$⇼⇔∾$7232$))⋓($1069$⪘⫢$1835$⊘))","expression":"((⨰⫟⨤(⊺⇮1200⨸⪁⊺⇮2712))⩚⊴⇥(∂(⊺⇮3717⩠)))∀⇚≩((⨑⩽⪐(⊺⇮1353⇼⇔∾⊺⇮7232))⋓(⊺⇮1069⪘⫢⊺⇮1835⊘))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":30951,"operation_count":11,"complexity_ratio":2813.7272727272725,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1200,"base":10},"right_expr":{"type":"numeric_atoms","value":2712,"base":10}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":3717,"base":10}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1353,"base":10},"right_expr":{"type":"numeric_atoms","value":7232,"base":10}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1069,"base":10},"right_expr":{"type":"numeric_atoms","value":1835,"base":10}}}}},"used_operators":["LRNGc0VcxI","NTOWxs364D","Tw270M8GLb","g55IO6H4Gj","Uaa54Peajs","sJAwomhLZr","T2fj7uvVaJ","AF7qkfDlqP","tifHPKVTfV","gu96TGCTMs","oacrs7FA3X"],"dependent_operators":["X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1200","layer":4},{"info":"number node, value=2712","layer":4},{"info":"compute binary expreesion, left_input=1200, right_input=2712, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=7824","layer":3},{"info":"compute unary expreesion, input=7824, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=3717","layer":4},{"info":"compute unary expreesion, input=3717, 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 = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=-264","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-264, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"number node, value=1353","layer":4},{"info":"number node, value=7232","layer":4},{"info":"compute binary expreesion, left_input=1353, right_input=7232, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=5879","layer":3},{"info":"compute unary expreesion, input=5879, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-5606","layer":2},{"info":"number node, value=1069","layer":4},{"info":"number node, value=1835","layer":4},{"info":"compute binary expreesion, left_input=1069, right_input=1835, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2014","layer":3},{"info":"compute unary expreesion, input=2014, 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=-5606, 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 = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":10,"result_base":10,"text":"((⨰⫟⨤(⊺⇮1200⨸⪁⊺⇮2712))⩚⊴⇥(∂(⊺⇮3717⩠)))∀⇚≩((⨑⩽⪐(⊺⇮1353⇼⇔∾⊺⇮7232))⋓(⊺⇮1069⪘⫢⊺⇮1835⊘))=NaN","reverse_text":"NaN=((⨰⫟⨤(⊺⇮1200⨸⪁⊺⇮2712))⩚⊴⇥(∂(⊺⇮3717⩠)))∀⇚≩((⨑⩽⪐(⊺⇮1353⇼⇔∾⊺⇮7232))⋓(⊺⇮1069⪘⫢⊺⇮1835⊘))","cot":[{"info":"⊺⇮1200⨸⪁⊺⇮2712=⊺⇮7824","layer":3},{"info":"⨰⫟⨤⊺⇮7824=NaN","layer":2},{"info":"⊺⇮3717⩠=⊺⇮0","layer":3},{"info":"∂⊺⇮0=⊺⇮-264","layer":2},{"info":"NaN⩚⊴⇥⊺⇮-264=NaN","layer":1},{"info":"⊺⇮1353⇼⇔∾⊺⇮7232=⊺⇮5879","layer":3},{"info":"⨑⩽⪐⊺⇮5879=⊺⇮-5606","layer":2},{"info":"⊺⇮1069⪘⫢⊺⇮1835=⊺⇮2014","layer":3},{"info":"⊺⇮2014⊘=⊺⇮0","layer":2},{"info":"⊺⇮-5606⋓⊺⇮0=⊺⇮0","layer":1},{"info":"NaN∀⇚≩⊺⇮0=NaN","layer":0}]}
{"id":46,"expression_no_base_symbol":"(↽≂($5188$≹⇙⪍$1852$⫸⊐(⫛⫱⨽$1522$)))≧⫂∧(($6174$↬$2148$)⨪↰⇹(∂$2518$)⨽(($3443$⋷$3691$)⪄(∂$2826$)))","expression":"(↽≂(⊺⇮5188≹⇙⪍⊺⇮1852⫸⊐(⫛⫱⨽⊺⇮1522)))≧⫂∧((⊺⇮6174↬⊺⇮2148)⨪↰⇹(∂⊺⇮2518)⨽((⊺⇮3443⋷⊺⇮3691)⪄(∂⊺⇮2826)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1542,"operation_count":12,"complexity_ratio":128.5,"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":5188,"base":10},"right_expr":{"type":"numeric_atoms","value":1852,"base":10}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1522,"base":10}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":6174,"base":10},"right_expr":{"type":"numeric_atoms","value":2148,"base":10}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2518,"base":10}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3443,"base":10},"right_expr":{"type":"numeric_atoms","value":3691,"base":10}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2826,"base":10}}}}},"used_operators":["Ph9nP6C5qx","u6S6b8DprG","mqXw5SEYmG","AHs5Up7iyr","DlLNRPXxWL","8HhzD0ZcuI","tmPS8pqC7x","B5M0gjZbta","Uaa54Peajs","SUmda5xLS4","23Mk6UjR3U"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","rGHVDoGpnC","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rJVOvQCfKK","rGHVDoGpnC","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=5188","layer":4},{"info":"number node, value=1852","layer":4},{"info":"compute binary expreesion, left_input=5188, right_input=1852, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=1522","layer":4},{"info":"compute unary expreesion, input=1522, 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 = 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 = 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=6174","layer":4},{"info":"number node, value=2148","layer":4},{"info":"compute binary expreesion, left_input=6174, right_input=2148, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=2518","layer":4},{"info":"compute unary expreesion, input=2518, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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=3443","layer":4},{"info":"number node, value=3691","layer":4},{"info":"compute binary expreesion, left_input=3443, right_input=3691, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3939","layer":3},{"info":"number node, value=2826","layer":4},{"info":"compute unary expreesion, input=2826, 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=3939, 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 = 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 = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(↽≂(⊺⇮5188≹⇙⪍⊺⇮1852⫸⊐(⫛⫱⨽⊺⇮1522)))≧⫂∧((⊺⇮6174↬⊺⇮2148)⨪↰⇹(∂⊺⇮2518)⨽((⊺⇮3443⋷⊺⇮3691)⪄(∂⊺⇮2826)))=NaN","reverse_text":"NaN=(↽≂(⊺⇮5188≹⇙⪍⊺⇮1852⫸⊐(⫛⫱⨽⊺⇮1522)))≧⫂∧((⊺⇮6174↬⊺⇮2148)⨪↰⇹(∂⊺⇮2518)⨽((⊺⇮3443⋷⊺⇮3691)⪄(∂⊺⇮2826)))","cot":[{"info":"⊺⇮5188≹⇙⪍⊺⇮1852=NaN","layer":3},{"info":"⫛⫱⨽⊺⇮1522=⊺⇮0","layer":3},{"info":"NaN⫸⊐⊺⇮0=NaN","layer":2},{"info":"↽≂NaN=NaN","layer":1},{"info":"⊺⇮6174↬⊺⇮2148=NaN","layer":3},{"info":"∂⊺⇮2518=NaN","layer":3},{"info":"NaN⨪↰⇹NaN=NaN","layer":2},{"info":"⊺⇮3443⋷⊺⇮3691=⊺⇮3939","layer":3},{"info":"∂⊺⇮2826=NaN","layer":3},{"info":"⊺⇮3939⪄NaN=NaN","layer":2},{"info":"NaN⨽NaN=NaN","layer":1},{"info":"NaN≧⫂∧NaN=NaN","layer":0}]}
{"id":47,"expression_no_base_symbol":"(⊥($6663$≹⇙⪍$3540$≭($1258$↪⪝)))%(∂($1300$⨰$6728$⊭↱$1324$≹⇙⪍$1931$))","expression":"(⊥(⊺⇮6663≹⇙⪍⊺⇮3540≭(⊺⇮1258↪⪝)))%(∂(⊺⇮1300⨰⊺⇮6728⊭↱⊺⇮1324≹⇙⪍⊺⇮1931))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":718,"operation_count":9,"complexity_ratio":79.77777777777777,"tree":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":6663,"base":10},"right_expr":{"type":"numeric_atoms","value":3540,"base":10}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1258,"base":10}}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1300,"base":10},"right_expr":{"type":"numeric_atoms","value":6728,"base":10}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1324,"base":10},"right_expr":{"type":"numeric_atoms","value":1931,"base":10}}}}},"used_operators":["k8jYdgA6NY","Q3PJZHRvZv","rxpJgHHUmx","AHs5Up7iyr","l07mrZUIn9","Uaa54Peajs","COABgblf1C","eewbuw0ToL"],"dependent_operators":["rysDP5nf3Z","fu6greOZ01","AHs5Up7iyr","dWAJyo7jo9","9HNa5Wba9A","2DDjHMKMc0","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6663","layer":4},{"info":"number node, value=3540","layer":4},{"info":"compute binary expreesion, left_input=6663, right_input=3540, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=1258","layer":4},{"info":"compute unary expreesion, input=1258, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=76966956","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=76966956, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"number node, value=1300","layer":4},{"info":"number node, value=6728","layer":4},{"info":"compute binary expreesion, left_input=1300, right_input=6728, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-5418","layer":3},{"info":"number node, value=1324","layer":4},{"info":"number node, value=1931","layer":4},{"info":"compute binary expreesion, left_input=1324, right_input=1931, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=-5418, 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 = 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 = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊥(⊺⇮6663≹⇙⪍⊺⇮3540≭(⊺⇮1258↪⪝)))%(∂(⊺⇮1300⨰⊺⇮6728⊭↱⊺⇮1324≹⇙⪍⊺⇮1931))=NaN","reverse_text":"NaN=(⊥(⊺⇮6663≹⇙⪍⊺⇮3540≭(⊺⇮1258↪⪝)))%(∂(⊺⇮1300⨰⊺⇮6728⊭↱⊺⇮1324≹⇙⪍⊺⇮1931))","cot":[{"info":"⊺⇮6663≹⇙⪍⊺⇮3540=NaN","layer":3},{"info":"⊺⇮1258↪⪝=⊺⇮76966956","layer":3},{"info":"NaN≭⊺⇮76966956=NaN","layer":2},{"info":"⊥NaN=NaN","layer":1},{"info":"⊺⇮1300⨰⊺⇮6728=⊺⇮-5418","layer":3},{"info":"⊺⇮1324≹⇙⪍⊺⇮1931=NaN","layer":3},{"info":"⊺⇮-5418⊭↱NaN=NaN","layer":2},{"info":"∂NaN=NaN","layer":1},{"info":"NaN%NaN=NaN","layer":0}]}
{"id":48,"expression_no_base_symbol":"(($2273$⋝⋈⪟$3478$)⨪↰⇹(⋗⩬⋾$1128$))↬((∥⊫$1909$)⫡⨏$5879$⨟⋌⩍$1384$)≭(($1624$⊭∹↮)⪠⩆⊳)⨪↰⇹(($6190$⫡⨏$4548$)≋⫹)","expression":"((⊺⇮2273⋝⋈⪟⊺⇮3478)⨪↰⇹(⋗⩬⋾⊺⇮1128))↬((∥⊫⊺⇮1909)⫡⨏⊺⇮5879⨟⋌⩍⊺⇮1384)≭((⊺⇮1624⊭∹↮)⪠⩆⊳)⨪↰⇹((⊺⇮6190⫡⨏⊺⇮4548)≋⫹)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2316,"operation_count":13,"complexity_ratio":178.15384615384616,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2273,"base":10},"right_expr":{"type":"numeric_atoms","value":3478,"base":10}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1128,"base":10}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1909,"base":10}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":5879,"base":10},"right_expr":{"type":"numeric_atoms","value":1384,"base":10}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1624,"base":10}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":6190,"base":10},"right_expr":{"type":"numeric_atoms","value":4548,"base":10}}}}},"used_operators":["rxpJgHHUmx","B5M0gjZbta","tmPS8pqC7x","2DDjHMKMc0","DpFCA1CohY","QMFrweE19q","P8v4zCKN1o","rGHVDoGpnC","JLbD19bQDL","xNBdhnnwKq","N41Kp7NANJ"],"dependent_operators":["AHs5Up7iyr","rGHVDoGpnC","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮-22","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2273","layer":4},{"info":"number node, value=3478","layer":4},{"info":"compute binary expreesion, left_input=2273, right_input=3478, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2273","layer":3},{"info":"number node, value=1128","layer":4},{"info":"compute unary expreesion, input=1128, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3384","layer":3},{"info":"compute binary expreesion, left_input=2273, right_input=-3384, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2273","layer":2},{"info":"number node, value=1909","layer":4},{"info":"compute unary expreesion, input=1909, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2777","layer":3},{"info":"number node, value=5879","layer":4},{"info":"number node, value=1384","layer":4},{"info":"compute binary expreesion, left_input=5879, right_input=1384, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=2777, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2273, 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=1624","layer":4},{"info":"compute unary expreesion, input=1624, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=3248","layer":3},{"info":"compute unary expreesion, input=3248, 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=6190","layer":4},{"info":"number node, value=4548","layer":4},{"info":"compute binary expreesion, left_input=6190, right_input=4548, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=40829","layer":3},{"info":"compute unary expreesion, input=40829, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-81658","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-81658, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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=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":10,"result_base":10,"text":"((⊺⇮2273⋝⋈⪟⊺⇮3478)⨪↰⇹(⋗⩬⋾⊺⇮1128))↬((∥⊫⊺⇮1909)⫡⨏⊺⇮5879⨟⋌⩍⊺⇮1384)≭((⊺⇮1624⊭∹↮)⪠⩆⊳)⨪↰⇹((⊺⇮6190⫡⨏⊺⇮4548)≋⫹)=⊺⇮-22","reverse_text":"⊺⇮-22=((⊺⇮2273⋝⋈⪟⊺⇮3478)⨪↰⇹(⋗⩬⋾⊺⇮1128))↬((∥⊫⊺⇮1909)⫡⨏⊺⇮5879⨟⋌⩍⊺⇮1384)≭((⊺⇮1624⊭∹↮)⪠⩆⊳)⨪↰⇹((⊺⇮6190⫡⨏⊺⇮4548)≋⫹)","cot":[{"info":"⊺⇮2273⋝⋈⪟⊺⇮3478=⊺⇮2273","layer":3},{"info":"⋗⩬⋾⊺⇮1128=⊺⇮-3384","layer":3},{"info":"⊺⇮2273⨪↰⇹⊺⇮-3384=⊺⇮2273","layer":2},{"info":"∥⊫⊺⇮1909=⊺⇮2777","layer":3},{"info":"⊺⇮5879⨟⋌⩍⊺⇮1384=NaN","layer":3},{"info":"⊺⇮2777⫡⨏NaN=NaN","layer":2},{"info":"⊺⇮2273↬NaN=NaN","layer":1},{"info":"⊺⇮1624⊭∹↮=⊺⇮3248","layer":3},{"info":"⊺⇮3248⪠⩆⊳=⊺⇮0","layer":2},{"info":"⊺⇮6190⫡⨏⊺⇮4548=⊺⇮40829","layer":3},{"info":"⊺⇮40829≋⫹=⊺⇮-81658","layer":2},{"info":"⊺⇮0⨪↰⇹⊺⇮-81658=⊺⇮0","layer":1},{"info":"NaN≭⊺⇮0=⊺⇮-22","layer":0}]}
{"id":49,"expression_no_base_symbol":"(⊄⩳↩(($6439$⪒$1615$)*$5856$⪢$1429$))⊴($4126$⪮%⊝$1343$⨽($1044$⨵⪆$2824$)∲⫓$5160$⇼⇔∾$2262$⊭↱$3095$≧⫂∧$1231$)","expression":"(⊄⩳↩((⊺⇮6439⪒⊺⇮1615)*⊺⇮5856⪢⊺⇮1429))⊴(⊺⇮4126⪮%⊝⊺⇮1343⨽(⊺⇮1044⨵⪆⊺⇮2824)∲⫓⊺⇮5160⇼⇔∾⊺⇮2262⊭↱⊺⇮3095≧⫂∧⊺⇮1231)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":10418,"operation_count":12,"complexity_ratio":868.1666666666666,"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":6439,"base":10},"right_expr":{"type":"numeric_atoms","value":1615,"base":10}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":5856,"base":10},"right_expr":{"type":"numeric_atoms","value":1429,"base":10}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4126,"base":10},"right_expr":{"type":"numeric_atoms","value":1343,"base":10}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1044,"base":10},"right_expr":{"type":"numeric_atoms","value":2824,"base":10}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":5160,"base":10},"right_expr":{"type":"numeric_atoms","value":2262,"base":10}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3095,"base":10},"right_expr":{"type":"numeric_atoms","value":1231,"base":10}}}}},"used_operators":["Nsiff2A1zJ","8w2t5hMYqp","9HNa5Wba9A","f6k1SAg4EE","dWAJyo7jo9","i8ToyICDmI","8HhzD0ZcuI","IWmyXbctLI","2DQ55sFlQl","COABgblf1C","tifHPKVTfV","Ph9nP6C5qx"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⊺⇮-79","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6439","layer":4},{"info":"number node, value=1615","layer":4},{"info":"compute binary expreesion, left_input=6439, right_input=1615, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8054","layer":3},{"info":"number node, value=5856","layer":4},{"info":"number node, value=1429","layer":4},{"info":"compute binary expreesion, left_input=5856, right_input=1429, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=-8054, right_input=nan, 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":"number node, value=4126","layer":4},{"info":"number node, value=1343","layer":4},{"info":"compute binary expreesion, left_input=4126, right_input=1343, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=8568","layer":3},{"info":"number node, value=1044","layer":4},{"info":"number node, value=2824","layer":4},{"info":"compute binary expreesion, left_input=1044, right_input=2824, 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=8568, right_input=160, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-220231038","layer":2},{"info":"number node, value=5160","layer":4},{"info":"number node, value=2262","layer":4},{"info":"compute binary expreesion, left_input=5160, right_input=2262, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-2898","layer":3},{"info":"number node, value=3095","layer":4},{"info":"number node, value=1231","layer":4},{"info":"compute binary expreesion, left_input=3095, right_input=1231, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=758","layer":3},{"info":"compute binary expreesion, left_input=-2898, right_input=758, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=7317","layer":2},{"info":"compute binary expreesion, left_input=-220231038, right_input=7317, 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=nan, right_input=0, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":0}],"base":10,"result_base":10,"text":"(⊄⩳↩((⊺⇮6439⪒⊺⇮1615)*⊺⇮5856⪢⊺⇮1429))⊴(⊺⇮4126⪮%⊝⊺⇮1343⨽(⊺⇮1044⨵⪆⊺⇮2824)∲⫓⊺⇮5160⇼⇔∾⊺⇮2262⊭↱⊺⇮3095≧⫂∧⊺⇮1231)=⊺⇮-79","reverse_text":"⊺⇮-79=(⊄⩳↩((⊺⇮6439⪒⊺⇮1615)*⊺⇮5856⪢⊺⇮1429))⊴(⊺⇮4126⪮%⊝⊺⇮1343⨽(⊺⇮1044⨵⪆⊺⇮2824)∲⫓⊺⇮5160⇼⇔∾⊺⇮2262⊭↱⊺⇮3095≧⫂∧⊺⇮1231)","cot":[{"info":"⊺⇮6439⪒⊺⇮1615=⊺⇮-8054","layer":3},{"info":"⊺⇮5856⪢⊺⇮1429=NaN","layer":3},{"info":"⊺⇮-8054*NaN=NaN","layer":2},{"info":"⊄⩳↩NaN=NaN","layer":1},{"info":"⊺⇮4126⪮%⊝⊺⇮1343=⊺⇮8568","layer":3},{"info":"⊺⇮1044⨵⪆⊺⇮2824=⊺⇮160","layer":3},{"info":"⊺⇮8568⨽⊺⇮160=⊺⇮-220231038","layer":2},{"info":"⊺⇮5160⇼⇔∾⊺⇮2262=⊺⇮-2898","layer":3},{"info":"⊺⇮3095≧⫂∧⊺⇮1231=⊺⇮758","layer":3},{"info":"⊺⇮-2898⊭↱⊺⇮758=⊺⇮7317","layer":2},{"info":"⊺⇮-220231038∲⫓⊺⇮7317=⊺⇮0","layer":1},{"info":"NaN⊴⊺⇮0=⊺⇮-79","layer":0}]}
{"id":50,"expression_no_base_symbol":"(($4532$⩷∴$1988$-$3115$⪮%⊝$2814$)%$3098$≎⊠⪸$3377$⨎$4957$⋓$5917$)⩚⊴⇥((≤/$1521$)∀⇚≩(≤/$3872$)⪨≂($1816$⊠≄⫣)⪄(↥$8096$))","expression":"((⊺⇮4532⩷∴⊺⇮1988-⊺⇮3115⪮%⊝⊺⇮2814)%⊺⇮3098≎⊠⪸⊺⇮3377⨎⊺⇮4957⋓⊺⇮5917)⩚⊴⇥((≤/⊺⇮1521)∀⇚≩(≤/⊺⇮3872)⪨≂(⊺⇮1816⊠≄⫣)⪄(↥⊺⇮8096))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":7755,"operation_count":15,"complexity_ratio":517.0,"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":4532,"base":10},"right_expr":{"type":"numeric_atoms","value":1988,"base":10}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3115,"base":10},"right_expr":{"type":"numeric_atoms","value":2814,"base":10}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3098,"base":10},"right_expr":{"type":"numeric_atoms","value":3377,"base":10}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4957,"base":10},"right_expr":{"type":"numeric_atoms","value":5917,"base":10}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1521,"base":10}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":3872,"base":10}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1816,"base":10}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":8096,"base":10}}}}},"used_operators":["NTOWxs364D","k8jYdgA6NY","rysDP5nf3Z","9FxExcQeMw","IWmyXbctLI","rJVOvQCfKK","bJkvcejdHO","T2fj7uvVaJ","sdazOOVcIp","LRNGc0VcxI","eLAdDNolq6","SUmda5xLS4","DIvbN7qnHd","A8NUZmVepG"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4532","layer":4},{"info":"number node, value=1988","layer":4},{"info":"compute binary expreesion, left_input=4532, right_input=1988, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=5056","layer":3},{"info":"number node, value=3115","layer":4},{"info":"number node, value=2814","layer":4},{"info":"compute binary expreesion, left_input=3115, right_input=2814, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6546","layer":3},{"info":"compute binary expreesion, left_input=5056, right_input=6546, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1490","layer":2},{"info":"number node, value=3098","layer":4},{"info":"number node, value=3377","layer":4},{"info":"compute binary expreesion, left_input=3098, right_input=3377, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=801909","layer":3},{"info":"number node, value=4957","layer":4},{"info":"number node, value=5917","layer":4},{"info":"compute binary expreesion, left_input=4957, right_input=5917, op_id = T2fj7uvVaJ binary_op_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=801909, 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=-1490, right_input=0, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1521","layer":4},{"info":"compute unary expreesion, input=1521, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1037","layer":3},{"info":"number node, value=3872","layer":4},{"info":"compute unary expreesion, input=3872, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-3388","layer":3},{"info":"compute binary expreesion, left_input=-1037, right_input=-3388, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1816","layer":4},{"info":"compute unary expreesion, input=1816, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=8096","layer":4},{"info":"compute unary expreesion, input=8096, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=38","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=38, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3759","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3759, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮4532⩷∴⊺⇮1988-⊺⇮3115⪮%⊝⊺⇮2814)%⊺⇮3098≎⊠⪸⊺⇮3377⨎⊺⇮4957⋓⊺⇮5917)⩚⊴⇥((≤/⊺⇮1521)∀⇚≩(≤/⊺⇮3872)⪨≂(⊺⇮1816⊠≄⫣)⪄(↥⊺⇮8096))=NaN","reverse_text":"NaN=((⊺⇮4532⩷∴⊺⇮1988-⊺⇮3115⪮%⊝⊺⇮2814)%⊺⇮3098≎⊠⪸⊺⇮3377⨎⊺⇮4957⋓⊺⇮5917)⩚⊴⇥((≤/⊺⇮1521)∀⇚≩(≤/⊺⇮3872)⪨≂(⊺⇮1816⊠≄⫣)⪄(↥⊺⇮8096))","cot":[{"info":"⊺⇮4532⩷∴⊺⇮1988=⊺⇮5056","layer":3},{"info":"⊺⇮3115⪮%⊝⊺⇮2814=⊺⇮6546","layer":3},{"info":"⊺⇮5056-⊺⇮6546=⊺⇮-1490","layer":2},{"info":"⊺⇮3098≎⊠⪸⊺⇮3377=⊺⇮801909","layer":3},{"info":"⊺⇮4957⋓⊺⇮5917=⊺⇮0","layer":3},{"info":"⊺⇮801909⨎⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮-1490%⊺⇮0=NaN","layer":1},{"info":"≤/⊺⇮1521=⊺⇮-1037","layer":3},{"info":"≤/⊺⇮3872=⊺⇮-3388","layer":3},{"info":"⊺⇮-1037∀⇚≩⊺⇮-3388=NaN","layer":2},{"info":"⊺⇮1816⊠≄⫣=⊺⇮0","layer":3},{"info":"↥⊺⇮8096=⊺⇮38","layer":3},{"info":"⊺⇮0⪄⊺⇮38=⊺⇮3759","layer":2},{"info":"NaN⪨≂⊺⇮3759=NaN","layer":1},{"info":"NaN⩚⊴⇥NaN=NaN","layer":0}]}
{"id":51,"expression_no_base_symbol":"(($1277$⋥≓≎$4797$)⋝⋈⪟($3346$⫸⊐$3073$)⪄((⩦⩻⨪$1339$)⊭↱($1757$+$1556$)))∑⇟⊟((↥$1075$)⪘⫢$1501$⇷$1773$∲⫓(⫓⪴(∥⊫$1096$)))","expression":"((⊺⇮1277⋥≓≎⊺⇮4797)⋝⋈⪟(⊺⇮3346⫸⊐⊺⇮3073)⪄((⩦⩻⨪⊺⇮1339)⊭↱(⊺⇮1757+⊺⇮1556)))∑⇟⊟((↥⊺⇮1075)⪘⫢⊺⇮1501⇷⊺⇮1773∲⫓(⫓⪴(∥⊫⊺⇮1096)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":23166,"operation_count":14,"complexity_ratio":1654.7142857142858,"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":1277,"base":10},"right_expr":{"type":"numeric_atoms","value":4797,"base":10}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3346,"base":10},"right_expr":{"type":"numeric_atoms","value":3073,"base":10}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1339,"base":10}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1757,"base":10},"right_expr":{"type":"numeric_atoms","value":1556,"base":10}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1075,"base":10}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1501,"base":10},"right_expr":{"type":"numeric_atoms","value":1773,"base":10}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1096,"base":10}}}}},"used_operators":["U7g4x0WXJJ","SUmda5xLS4","2DDjHMKMc0","Qy55tPpLXF","mqXw5SEYmG","COABgblf1C","2td37pGCOC","W4YGzv6Whe","i8ToyICDmI","oacrs7FA3X","A8NUZmVepG","mp7IySMOzn","eLxqMNBOBk","P8v4zCKN1o"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","k8jYdgA6NY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮-1247701","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1277","layer":4},{"info":"number node, value=4797","layer":4},{"info":"compute binary expreesion, left_input=1277, right_input=4797, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=8350","layer":3},{"info":"number node, value=3346","layer":4},{"info":"number node, value=3073","layer":4},{"info":"compute binary expreesion, left_input=3346, right_input=3073, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=12167","layer":3},{"info":"compute binary expreesion, left_input=8350, right_input=12167, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=8350","layer":2},{"info":"number node, value=1339","layer":4},{"info":"compute unary expreesion, input=1339, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1339","layer":3},{"info":"number node, value=1757","layer":4},{"info":"number node, value=1556","layer":4},{"info":"compute binary expreesion, left_input=1757, right_input=1556, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3313","layer":3},{"info":"compute binary expreesion, left_input=1339, right_input=3313, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=3953","layer":2},{"info":"compute binary expreesion, left_input=8350, right_input=3953, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1247701","layer":1},{"info":"number node, value=1075","layer":4},{"info":"compute unary expreesion, input=1075, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=4","layer":3},{"info":"number node, value=1501","layer":4},{"info":"number node, value=1773","layer":4},{"info":"compute binary expreesion, left_input=1501, right_input=1773, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3546","layer":3},{"info":"compute binary expreesion, left_input=4, right_input=3546, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1140","layer":2},{"info":"number node, value=1096","layer":4},{"info":"compute unary expreesion, input=1096, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=1964","layer":3},{"info":"compute unary expreesion, input=1964, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=3857296","layer":2},{"info":"compute binary expreesion, left_input=-1140, right_input=3857296, 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=-1247701, right_input=0, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=-1247701","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1277⋥≓≎⊺⇮4797)⋝⋈⪟(⊺⇮3346⫸⊐⊺⇮3073)⪄((⩦⩻⨪⊺⇮1339)⊭↱(⊺⇮1757+⊺⇮1556)))∑⇟⊟((↥⊺⇮1075)⪘⫢⊺⇮1501⇷⊺⇮1773∲⫓(⫓⪴(∥⊫⊺⇮1096)))=⊺⇮-1247701","reverse_text":"⊺⇮-1247701=((⊺⇮1277⋥≓≎⊺⇮4797)⋝⋈⪟(⊺⇮3346⫸⊐⊺⇮3073)⪄((⩦⩻⨪⊺⇮1339)⊭↱(⊺⇮1757+⊺⇮1556)))∑⇟⊟((↥⊺⇮1075)⪘⫢⊺⇮1501⇷⊺⇮1773∲⫓(⫓⪴(∥⊫⊺⇮1096)))","cot":[{"info":"⊺⇮1277⋥≓≎⊺⇮4797=⊺⇮8350","layer":3},{"info":"⊺⇮3346⫸⊐⊺⇮3073=⊺⇮12167","layer":3},{"info":"⊺⇮8350⋝⋈⪟⊺⇮12167=⊺⇮8350","layer":2},{"info":"⩦⩻⨪⊺⇮1339=⊺⇮1339","layer":3},{"info":"⊺⇮1757+⊺⇮1556=⊺⇮3313","layer":3},{"info":"⊺⇮1339⊭↱⊺⇮3313=⊺⇮3953","layer":2},{"info":"⊺⇮8350⪄⊺⇮3953=⊺⇮-1247701","layer":1},{"info":"↥⊺⇮1075=⊺⇮4","layer":3},{"info":"⊺⇮1501⇷⊺⇮1773=⊺⇮3546","layer":3},{"info":"⊺⇮4⪘⫢⊺⇮3546=⊺⇮-1140","layer":2},{"info":"∥⊫⊺⇮1096=⊺⇮1964","layer":3},{"info":"⫓⪴⊺⇮1964=⊺⇮3857296","layer":2},{"info":"⊺⇮-1140∲⫓⊺⇮3857296=⊺⇮0","layer":1},{"info":"⊺⇮-1247701∑⇟⊟⊺⇮0=⊺⇮-1247701","layer":0}]}
{"id":52,"expression_no_base_symbol":"((∥⊫($2308$⊭↱$3829$))⇼⇔∾(⊙↵-($4559$⨎$3107$)))≹⇙⪍((↔($1461$↬$1530$))⋝⋈⪟($2250$⊉≛↸$1408$)⪘⫢($2728$+⇶⊼$2124$))","expression":"((∥⊫(⊺⇮2308⊭↱⊺⇮3829))⇼⇔∾(⊙↵-(⊺⇮4559⨎⊺⇮3107)))≹⇙⪍((↔(⊺⇮1461↬⊺⇮1530))⋝⋈⪟(⊺⇮2250⊉≛↸⊺⇮1408)⪘⫢(⊺⇮2728+⇶⊼⊺⇮2124))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3205,"operation_count":12,"complexity_ratio":267.0833333333333,"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":2308,"base":10},"right_expr":{"type":"numeric_atoms","value":3829,"base":10}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4559,"base":10},"right_expr":{"type":"numeric_atoms","value":3107,"base":10}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1461,"base":10},"right_expr":{"type":"numeric_atoms","value":1530,"base":10}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2250,"base":10},"right_expr":{"type":"numeric_atoms","value":1408,"base":10}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2728,"base":10},"right_expr":{"type":"numeric_atoms","value":2124,"base":10}}}}},"used_operators":["AHs5Up7iyr","tifHPKVTfV","P8v4zCKN1o","COABgblf1C","oWn0xqSxBt","rJVOvQCfKK","2DDjHMKMc0","ruOEQAzv1W","B5M0gjZbta","oacrs7FA3X","DZ8iAZOCBD","TpPTUOHfaN"],"dependent_operators":["dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rGHVDoGpnC","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2308","layer":4},{"info":"number node, value=3829","layer":4},{"info":"compute binary expreesion, left_input=2308, right_input=3829, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=3047","layer":3},{"info":"compute unary expreesion, input=3047, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3915","layer":2},{"info":"number node, value=4559","layer":4},{"info":"number node, value=3107","layer":4},{"info":"compute binary expreesion, left_input=4559, right_input=3107, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3107","layer":3},{"info":"compute unary expreesion, input=3107, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=3915, right_input=-1, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-3916","layer":1},{"info":"number node, value=1461","layer":4},{"info":"number node, value=1530","layer":4},{"info":"compute binary expreesion, left_input=1461, right_input=1530, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":2},{"info":"number node, value=2250","layer":4},{"info":"number node, value=1408","layer":4},{"info":"compute binary expreesion, left_input=2250, right_input=1408, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4500","layer":3},{"info":"number node, value=2728","layer":4},{"info":"number node, value=2124","layer":4},{"info":"compute binary expreesion, left_input=2728, right_input=2124, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=4500, 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=-134, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-3916, 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":10,"result_base":10,"text":"((∥⊫(⊺⇮2308⊭↱⊺⇮3829))⇼⇔∾(⊙↵-(⊺⇮4559⨎⊺⇮3107)))≹⇙⪍((↔(⊺⇮1461↬⊺⇮1530))⋝⋈⪟(⊺⇮2250⊉≛↸⊺⇮1408)⪘⫢(⊺⇮2728+⇶⊼⊺⇮2124))=NaN","reverse_text":"NaN=((∥⊫(⊺⇮2308⊭↱⊺⇮3829))⇼⇔∾(⊙↵-(⊺⇮4559⨎⊺⇮3107)))≹⇙⪍((↔(⊺⇮1461↬⊺⇮1530))⋝⋈⪟(⊺⇮2250⊉≛↸⊺⇮1408)⪘⫢(⊺⇮2728+⇶⊼⊺⇮2124))","cot":[{"info":"⊺⇮2308⊭↱⊺⇮3829=⊺⇮3047","layer":3},{"info":"∥⊫⊺⇮3047=⊺⇮3915","layer":2},{"info":"⊺⇮4559⨎⊺⇮3107=⊺⇮3107","layer":3},{"info":"⊙↵-⊺⇮3107=⊺⇮-1","layer":2},{"info":"⊺⇮3915⇼⇔∾⊺⇮-1=⊺⇮-3916","layer":1},{"info":"⊺⇮1461↬⊺⇮1530=NaN","layer":3},{"info":"↔NaN=⊺⇮-134","layer":2},{"info":"⊺⇮2250⊉≛↸⊺⇮1408=⊺⇮4500","layer":3},{"info":"⊺⇮2728+⇶⊼⊺⇮2124=NaN","layer":3},{"info":"⊺⇮4500⪘⫢NaN=NaN","layer":2},{"info":"⊺⇮-134⋝⋈⪟NaN=NaN","layer":1},{"info":"⊺⇮-3916≹⇙⪍NaN=NaN","layer":0}]}
{"id":53,"expression_no_base_symbol":"(⨑⩽⪐(⨈⫕$3979$)⨎$1031$∼$1917$)∑⇟⊟((≤/(↩$1252$))⩨$1557$≹⇙⪍$5461$⪛($6649$⨽$1240$))","expression":"(⨑⩽⪐(⨈⫕⊺⇮3979)⨎⊺⇮1031∼⊺⇮1917)∑⇟⊟((≤/(↩⊺⇮1252))⩨⊺⇮1557≹⇙⪍⊺⇮5461⪛(⊺⇮6649⨽⊺⇮1240))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7101,"operation_count":11,"complexity_ratio":645.5454545454545,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":3979,"base":10}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1031,"base":10},"right_expr":{"type":"numeric_atoms","value":1917,"base":10}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1252,"base":10}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1557,"base":10},"right_expr":{"type":"numeric_atoms","value":5461,"base":10}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":6649,"base":10},"right_expr":{"type":"numeric_atoms","value":1240,"base":10}}}}},"used_operators":["U7g4x0WXJJ","AF7qkfDlqP","rJVOvQCfKK","megm06wKyl","DyGG3AbaNP","2DlMacCsIx","eLAdDNolq6","jLgFTUHLKL","uFcxV4UQCh","AHs5Up7iyr","8HhzD0ZcuI"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3979","layer":4},{"info":"compute unary expreesion, input=3979, 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=1031","layer":4},{"info":"number node, value=1917","layer":4},{"info":"compute binary expreesion, left_input=1031, right_input=1917, 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 = 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 = 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=1252","layer":4},{"info":"compute unary expreesion, input=1252, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-7236","layer":3},{"info":"compute unary expreesion, input=-7236, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=7720","layer":2},{"info":"number node, value=1557","layer":4},{"info":"number node, value=5461","layer":4},{"info":"compute binary expreesion, left_input=1557, right_input=5461, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=6649","layer":4},{"info":"number node, value=1240","layer":4},{"info":"compute binary expreesion, left_input=6649, right_input=1240, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-132630009","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-132630009, 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=7720, 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 = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⨑⩽⪐(⨈⫕⊺⇮3979)⨎⊺⇮1031∼⊺⇮1917)∑⇟⊟((≤/(↩⊺⇮1252))⩨⊺⇮1557≹⇙⪍⊺⇮5461⪛(⊺⇮6649⨽⊺⇮1240))=NaN","reverse_text":"NaN=(⨑⩽⪐(⨈⫕⊺⇮3979)⨎⊺⇮1031∼⊺⇮1917)∑⇟⊟((≤/(↩⊺⇮1252))⩨⊺⇮1557≹⇙⪍⊺⇮5461⪛(⊺⇮6649⨽⊺⇮1240))","cot":[{"info":"⨈⫕⊺⇮3979=⊺⇮-21","layer":3},{"info":"⊺⇮1031∼⊺⇮1917=NaN","layer":3},{"info":"⊺⇮-21⨎NaN=NaN","layer":2},{"info":"⨑⩽⪐NaN=NaN","layer":1},{"info":"↩⊺⇮1252=⊺⇮-7236","layer":3},{"info":"≤/⊺⇮-7236=⊺⇮7720","layer":2},{"info":"⊺⇮1557≹⇙⪍⊺⇮5461=NaN","layer":3},{"info":"⊺⇮6649⨽⊺⇮1240=⊺⇮-132630009","layer":3},{"info":"NaN⪛⊺⇮-132630009=NaN","layer":2},{"info":"⊺⇮7720⩨NaN=NaN","layer":1},{"info":"NaN∑⇟⊟NaN=NaN","layer":0}]}
{"id":54,"expression_no_base_symbol":"(($1510$∀⇚≩$2542$)↬(⫓⪴$1002$)⫥∨⫟(($1552$-$6294$)⨸⪁($2924$⪨≂$8641$)))⨪↰⇹(≦∁($1179$∸)≧⫂∧(↣≠⋷$8244$))","expression":"((⊺⇮1510∀⇚≩⊺⇮2542)↬(⫓⪴⊺⇮1002)⫥∨⫟((⊺⇮1552-⊺⇮6294)⨸⪁(⊺⇮2924⪨≂⊺⇮8641)))⨪↰⇹(≦∁(⊺⇮1179∸)≧⫂∧(↣≠⋷⊺⇮8244))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":11919,"operation_count":12,"complexity_ratio":993.25,"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":1510,"base":10},"right_expr":{"type":"numeric_atoms","value":2542,"base":10}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1002,"base":10}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1552,"base":10},"right_expr":{"type":"numeric_atoms","value":6294,"base":10}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2924,"base":10},"right_expr":{"type":"numeric_atoms","value":8641,"base":10}}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":1179,"base":10}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":8244,"base":10}}}}},"used_operators":["tmPS8pqC7x","KYD54nUTWz","B5M0gjZbta","LRNGc0VcxI","eLxqMNBOBk","g55IO6H4Gj","rysDP5nf3Z","sdazOOVcIp","9ICcGScMcE","Ph9nP6C5qx","o20kRiQErp","Asc51vEJeQ"],"dependent_operators":["rJVOvQCfKK","8HhzD0ZcuI","rGHVDoGpnC","rGHVDoGpnC","X99M06cbEe","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1510","layer":4},{"info":"number node, value=2542","layer":4},{"info":"compute binary expreesion, left_input=1510, right_input=2542, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1002","layer":4},{"info":"compute unary expreesion, input=1002, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1004004","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1004004, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1552","layer":4},{"info":"number node, value=6294","layer":4},{"info":"compute binary expreesion, left_input=1552, right_input=6294, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-4742","layer":3},{"info":"number node, value=2924","layer":4},{"info":"number node, value=8641","layer":4},{"info":"compute binary expreesion, left_input=2924, right_input=8641, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-11332","layer":3},{"info":"compute binary expreesion, left_input=-4742, right_input=-11332, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-32148","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-32148, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1179","layer":4},{"info":"compute unary expreesion, input=1179, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=8244","layer":4},{"info":"compute unary expreesion, input=8244, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', 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":"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 = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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":10,"result_base":10,"text":"((⊺⇮1510∀⇚≩⊺⇮2542)↬(⫓⪴⊺⇮1002)⫥∨⫟((⊺⇮1552-⊺⇮6294)⨸⪁(⊺⇮2924⪨≂⊺⇮8641)))⨪↰⇹(≦∁(⊺⇮1179∸)≧⫂∧(↣≠⋷⊺⇮8244))=NaN","reverse_text":"NaN=((⊺⇮1510∀⇚≩⊺⇮2542)↬(⫓⪴⊺⇮1002)⫥∨⫟((⊺⇮1552-⊺⇮6294)⨸⪁(⊺⇮2924⪨≂⊺⇮8641)))⨪↰⇹(≦∁(⊺⇮1179∸)≧⫂∧(↣≠⋷⊺⇮8244))","cot":[{"info":"⊺⇮1510∀⇚≩⊺⇮2542=NaN","layer":3},{"info":"⫓⪴⊺⇮1002=⊺⇮1004004","layer":3},{"info":"NaN↬⊺⇮1004004=NaN","layer":2},{"info":"⊺⇮1552-⊺⇮6294=⊺⇮-4742","layer":3},{"info":"⊺⇮2924⪨≂⊺⇮8641=⊺⇮-11332","layer":3},{"info":"⊺⇮-4742⨸⪁⊺⇮-11332=⊺⇮-32148","layer":2},{"info":"NaN⫥∨⫟⊺⇮-32148=NaN","layer":1},{"info":"⊺⇮1179∸=⊺⇮177","layer":3},{"info":"↣≠⋷⊺⇮8244=NaN","layer":3},{"info":"⊺⇮177≧⫂∧NaN=NaN","layer":2},{"info":"≦∁NaN=NaN","layer":1},{"info":"NaN⨪↰⇹NaN=NaN","layer":0}]}
{"id":55,"expression_no_base_symbol":"(⫛⫱⨽(⩦⩻⨪$2954$∀⇚≩$2519$))↺((≉$3842$)⪢($5541$-$4498$)⊉≛↸($3771$⋷$1551$⪨≂$1001$*$7608$))","expression":"(⫛⫱⨽(⩦⩻⨪⊺⇮2954∀⇚≩⊺⇮2519))↺((≉⊺⇮3842)⪢(⊺⇮5541-⊺⇮4498)⊉≛↸(⊺⇮3771⋷⊺⇮1551⪨≂⊺⇮1001*⊺⇮7608))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":29556,"operation_count":11,"complexity_ratio":2686.909090909091,"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":2954,"base":10},"right_expr":{"type":"numeric_atoms","value":2519,"base":10}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":3842,"base":10}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":5541,"base":10},"right_expr":{"type":"numeric_atoms","value":4498,"base":10}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3771,"base":10},"right_expr":{"type":"numeric_atoms","value":1551,"base":10}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1001,"base":10},"right_expr":{"type":"numeric_atoms","value":7608,"base":10}}}}},"used_operators":["7j4O788W3g","DlLNRPXxWL","2td37pGCOC","LRNGc0VcxI","DZ8iAZOCBD","dWAJyo7jo9","e1ybzncUwg","rysDP5nf3Z","sdazOOVcIp","23Mk6UjR3U","9HNa5Wba9A"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2954","layer":4},{"info":"number node, value=2519","layer":4},{"info":"compute binary expreesion, left_input=2954, right_input=2519, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-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":"number node, value=3842","layer":4},{"info":"compute unary expreesion, input=3842, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=4373","layer":3},{"info":"number node, value=5541","layer":4},{"info":"number node, value=4498","layer":4},{"info":"compute binary expreesion, left_input=5541, right_input=4498, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1043","layer":3},{"info":"compute binary expreesion, left_input=4373, right_input=1043, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=3771","layer":4},{"info":"number node, value=1551","layer":4},{"info":"compute binary expreesion, left_input=3771, right_input=1551, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-669","layer":3},{"info":"number node, value=1001","layer":4},{"info":"number node, value=7608","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=7608, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=7615608","layer":3},{"info":"compute binary expreesion, left_input=-669, right_input=7615608, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-15232452","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-15232452, 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 = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⫛⫱⨽(⩦⩻⨪⊺⇮2954∀⇚≩⊺⇮2519))↺((≉⊺⇮3842)⪢(⊺⇮5541-⊺⇮4498)⊉≛↸(⊺⇮3771⋷⊺⇮1551⪨≂⊺⇮1001*⊺⇮7608))=NaN","reverse_text":"NaN=(⫛⫱⨽(⩦⩻⨪⊺⇮2954∀⇚≩⊺⇮2519))↺((≉⊺⇮3842)⪢(⊺⇮5541-⊺⇮4498)⊉≛↸(⊺⇮3771⋷⊺⇮1551⪨≂⊺⇮1001*⊺⇮7608))","cot":[{"info":"⊺⇮2954∀⇚≩⊺⇮2519=NaN","layer":3},{"info":"⩦⩻⨪NaN=NaN","layer":2},{"info":"⫛⫱⨽NaN=NaN","layer":1},{"info":"≉⊺⇮3842=⊺⇮4373","layer":3},{"info":"⊺⇮5541-⊺⇮4498=⊺⇮1043","layer":3},{"info":"⊺⇮4373⪢⊺⇮1043=NaN","layer":2},{"info":"⊺⇮3771⋷⊺⇮1551=⊺⇮-669","layer":3},{"info":"⊺⇮1001*⊺⇮7608=⊺⇮7615608","layer":3},{"info":"⊺⇮-669⪨≂⊺⇮7615608=⊺⇮-15232452","layer":2},{"info":"NaN⊉≛↸⊺⇮-15232452=NaN","layer":1},{"info":"NaN↺NaN=NaN","layer":0}]}
{"id":56,"expression_no_base_symbol":"(((⨑⩽⪐$2475$)≋⫹)⋫)⊭∹↮","expression":"(((⨑⩽⪐⊺⇮2475)≋⫹)⋫)⊭∹↮","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4417,"operation_count":4,"complexity_ratio":1104.25,"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":2475,"base":10}}}}},"used_operators":["xNBdhnnwKq","JL8yIekQnl","N41Kp7NANJ","AF7qkfDlqP"],"dependent_operators":["2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"⊺⇮8808","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2475","layer":4},{"info":"compute unary expreesion, input=2475, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2202","layer":3},{"info":"compute unary expreesion, input=-2202, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=4404","layer":2},{"info":"compute unary expreesion, input=4404, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=4404","layer":1},{"info":"compute unary expreesion, input=4404, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=8808","layer":0}],"base":10,"result_base":10,"text":"(((⨑⩽⪐⊺⇮2475)≋⫹)⋫)⊭∹↮=⊺⇮8808","reverse_text":"⊺⇮8808=(((⨑⩽⪐⊺⇮2475)≋⫹)⋫)⊭∹↮","cot":[{"info":"⨑⩽⪐⊺⇮2475=⊺⇮-2202","layer":3},{"info":"⊺⇮-2202≋⫹=⊺⇮4404","layer":2},{"info":"⊺⇮4404⋫=⊺⇮4404","layer":1},{"info":"⊺⇮4404⊭∹↮=⊺⇮8808","layer":0}]}
{"id":57,"expression_no_base_symbol":"($4046$∼$1719$⨪↰⇹($2550$⇼⇔∾$3848$))⊴(($1130$⪒$4033$)⨟⋌⩍($3470$⩷∴$4387$))⩚⊴⇥((≤/$1381$)↙$2006$⇷$2158$)≹⇙⪍($1032$↺$2967$⨵⪆$2545$⩷∴$1427$)","expression":"(⊺⇮4046∼⊺⇮1719⨪↰⇹(⊺⇮2550⇼⇔∾⊺⇮3848))⊴((⊺⇮1130⪒⊺⇮4033)⨟⋌⩍(⊺⇮3470⩷∴⊺⇮4387))⩚⊴⇥((≤/⊺⇮1381)↙⊺⇮2006⇷⊺⇮2158)≹⇙⪍(⊺⇮1032↺⊺⇮2967⨵⪆⊺⇮2545⩷∴⊺⇮1427)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":54195,"operation_count":15,"complexity_ratio":3613.0,"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":4046,"base":10},"right_expr":{"type":"numeric_atoms","value":1719,"base":10}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2550,"base":10},"right_expr":{"type":"numeric_atoms","value":3848,"base":10}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1130,"base":10},"right_expr":{"type":"numeric_atoms","value":4033,"base":10}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3470,"base":10},"right_expr":{"type":"numeric_atoms","value":4387,"base":10}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1381,"base":10}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2006,"base":10},"right_expr":{"type":"numeric_atoms","value":2158,"base":10}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1032,"base":10},"right_expr":{"type":"numeric_atoms","value":2967,"base":10}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2545,"base":10},"right_expr":{"type":"numeric_atoms","value":1427,"base":10}}}}},"used_operators":["NTOWxs364D","Nsiff2A1zJ","tmPS8pqC7x","DyGG3AbaNP","tifHPKVTfV","rGHVDoGpnC","f6k1SAg4EE","9FxExcQeMw","AHs5Up7iyr","yyfyN0ffXY","eLAdDNolq6","mp7IySMOzn","2DQ55sFlQl","7j4O788W3g"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","rJVOvQCfKK","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4046","layer":4},{"info":"number node, value=1719","layer":4},{"info":"compute binary expreesion, left_input=4046, right_input=1719, 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=2550","layer":4},{"info":"number node, value=3848","layer":4},{"info":"compute binary expreesion, left_input=2550, right_input=3848, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1298","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1298, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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=1130","layer":4},{"info":"number node, value=4033","layer":4},{"info":"compute binary expreesion, left_input=1130, right_input=4033, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5163","layer":3},{"info":"number node, value=3470","layer":4},{"info":"number node, value=4387","layer":4},{"info":"compute binary expreesion, left_input=3470, right_input=4387, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-1866","layer":3},{"info":"compute binary expreesion, left_input=-5163, right_input=-1866, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=1381","layer":4},{"info":"compute unary expreesion, input=1381, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-897","layer":3},{"info":"number node, value=2006","layer":4},{"info":"number node, value=2158","layer":4},{"info":"compute binary expreesion, left_input=2006, right_input=2158, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4316","layer":3},{"info":"compute binary expreesion, left_input=-897, right_input=4316, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-897","layer":2},{"info":"number node, value=1032","layer":4},{"info":"number node, value=2967","layer":4},{"info":"compute binary expreesion, left_input=1032, right_input=2967, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2967","layer":3},{"info":"number node, value=2545","layer":4},{"info":"number node, value=1427","layer":4},{"info":"compute binary expreesion, left_input=2545, right_input=1427, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2204","layer":3},{"info":"compute binary expreesion, left_input=2967, right_input=2204, 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=-897, right_input=160, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":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":10,"result_base":10,"text":"(⊺⇮4046∼⊺⇮1719⨪↰⇹(⊺⇮2550⇼⇔∾⊺⇮3848))⊴((⊺⇮1130⪒⊺⇮4033)⨟⋌⩍(⊺⇮3470⩷∴⊺⇮4387))⩚⊴⇥((≤/⊺⇮1381)↙⊺⇮2006⇷⊺⇮2158)≹⇙⪍(⊺⇮1032↺⊺⇮2967⨵⪆⊺⇮2545⩷∴⊺⇮1427)=NaN","reverse_text":"NaN=(⊺⇮4046∼⊺⇮1719⨪↰⇹(⊺⇮2550⇼⇔∾⊺⇮3848))⊴((⊺⇮1130⪒⊺⇮4033)⨟⋌⩍(⊺⇮3470⩷∴⊺⇮4387))⩚⊴⇥((≤/⊺⇮1381)↙⊺⇮2006⇷⊺⇮2158)≹⇙⪍(⊺⇮1032↺⊺⇮2967⨵⪆⊺⇮2545⩷∴⊺⇮1427)","cot":[{"info":"⊺⇮4046∼⊺⇮1719=NaN","layer":3},{"info":"⊺⇮2550⇼⇔∾⊺⇮3848=⊺⇮1298","layer":3},{"info":"NaN⨪↰⇹⊺⇮1298=NaN","layer":2},{"info":"⊺⇮1130⪒⊺⇮4033=⊺⇮-5163","layer":3},{"info":"⊺⇮3470⩷∴⊺⇮4387=⊺⇮-1866","layer":3},{"info":"⊺⇮-5163⨟⋌⩍⊺⇮-1866=NaN","layer":2},{"info":"NaN⊴NaN=NaN","layer":1},{"info":"≤/⊺⇮1381=⊺⇮-897","layer":3},{"info":"⊺⇮2006⇷⊺⇮2158=⊺⇮4316","layer":3},{"info":"⊺⇮-897↙⊺⇮4316=⊺⇮-897","layer":2},{"info":"⊺⇮1032↺⊺⇮2967=⊺⇮2967","layer":3},{"info":"⊺⇮2545⩷∴⊺⇮1427=⊺⇮2204","layer":3},{"info":"⊺⇮2967⨵⪆⊺⇮2204=⊺⇮160","layer":2},{"info":"⊺⇮-897≹⇙⪍⊺⇮160=NaN","layer":1},{"info":"NaN⩚⊴⇥NaN=NaN","layer":0}]}
{"id":58,"expression_no_base_symbol":"(($4004$-$1891$)∀⇚≩($1275$⫥∨⫟$1943$))⪢($6883$⨪↰⇹$1377$⨸⪁($4860$⇼⇔∾$3402$))⨪↰⇹($3044$≹⇙⪍$5452$⊭↱$1065$⪄$1915$)∼((⩦⩻⨪$2565$)⇼⇔∾($2677$⪨≂$2465$))","expression":"((⊺⇮4004-⊺⇮1891)∀⇚≩(⊺⇮1275⫥∨⫟⊺⇮1943))⪢(⊺⇮6883⨪↰⇹⊺⇮1377⨸⪁(⊺⇮4860⇼⇔∾⊺⇮3402))⨪↰⇹(⊺⇮3044≹⇙⪍⊺⇮5452⊭↱⊺⇮1065⪄⊺⇮1915)∼((⩦⩻⨪⊺⇮2565)⇼⇔∾(⊺⇮2677⪨≂⊺⇮2465))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":32800,"operation_count":15,"complexity_ratio":2186.6666666666665,"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":4004,"base":10},"right_expr":{"type":"numeric_atoms","value":1891,"base":10}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1275,"base":10},"right_expr":{"type":"numeric_atoms","value":1943,"base":10}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":6883,"base":10},"right_expr":{"type":"numeric_atoms","value":1377,"base":10}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":4860,"base":10},"right_expr":{"type":"numeric_atoms","value":3402,"base":10}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3044,"base":10},"right_expr":{"type":"numeric_atoms","value":5452,"base":10}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1065,"base":10},"right_expr":{"type":"numeric_atoms","value":1915,"base":10}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2565,"base":10}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2677,"base":10},"right_expr":{"type":"numeric_atoms","value":2465,"base":10}}}}},"used_operators":["tmPS8pqC7x","dWAJyo7jo9","LRNGc0VcxI","rysDP5nf3Z","KYD54nUTWz","g55IO6H4Gj","tifHPKVTfV","DyGG3AbaNP","COABgblf1C","AHs5Up7iyr","SUmda5xLS4","2td37pGCOC","sdazOOVcIp"],"dependent_operators":["rJVOvQCfKK","k8jYdgA6NY","X99M06cbEe","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4004","layer":4},{"info":"number node, value=1891","layer":4},{"info":"compute binary expreesion, left_input=4004, right_input=1891, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2113","layer":3},{"info":"number node, value=1275","layer":4},{"info":"number node, value=1943","layer":4},{"info":"compute binary expreesion, left_input=1275, right_input=1943, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2113, 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=6883","layer":4},{"info":"number node, value=1377","layer":4},{"info":"compute binary expreesion, left_input=6883, right_input=1377, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=6883","layer":3},{"info":"number node, value=4860","layer":4},{"info":"number node, value=3402","layer":4},{"info":"compute binary expreesion, left_input=4860, right_input=3402, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1458","layer":3},{"info":"compute binary expreesion, left_input=6883, right_input=-1458, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10850","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=10850, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=3044","layer":4},{"info":"number node, value=5452","layer":4},{"info":"compute binary expreesion, left_input=3044, right_input=5452, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=1065","layer":4},{"info":"number node, value=1915","layer":4},{"info":"compute binary expreesion, left_input=1065, right_input=1915, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-161369","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-161369, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"number node, value=2565","layer":4},{"info":"compute unary expreesion, input=2565, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2565","layer":3},{"info":"number node, value=2677","layer":4},{"info":"number node, value=2465","layer":4},{"info":"compute binary expreesion, left_input=2677, right_input=2465, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=526","layer":3},{"info":"compute binary expreesion, left_input=2565, right_input=526, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-2039","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2039, 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 = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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":10,"result_base":10,"text":"((⊺⇮4004-⊺⇮1891)∀⇚≩(⊺⇮1275⫥∨⫟⊺⇮1943))⪢(⊺⇮6883⨪↰⇹⊺⇮1377⨸⪁(⊺⇮4860⇼⇔∾⊺⇮3402))⨪↰⇹(⊺⇮3044≹⇙⪍⊺⇮5452⊭↱⊺⇮1065⪄⊺⇮1915)∼((⩦⩻⨪⊺⇮2565)⇼⇔∾(⊺⇮2677⪨≂⊺⇮2465))=NaN","reverse_text":"NaN=((⊺⇮4004-⊺⇮1891)∀⇚≩(⊺⇮1275⫥∨⫟⊺⇮1943))⪢(⊺⇮6883⨪↰⇹⊺⇮1377⨸⪁(⊺⇮4860⇼⇔∾⊺⇮3402))⨪↰⇹(⊺⇮3044≹⇙⪍⊺⇮5452⊭↱⊺⇮1065⪄⊺⇮1915)∼((⩦⩻⨪⊺⇮2565)⇼⇔∾(⊺⇮2677⪨≂⊺⇮2465))","cot":[{"info":"⊺⇮4004-⊺⇮1891=⊺⇮2113","layer":3},{"info":"⊺⇮1275⫥∨⫟⊺⇮1943=NaN","layer":3},{"info":"⊺⇮2113∀⇚≩NaN=NaN","layer":2},{"info":"⊺⇮6883⨪↰⇹⊺⇮1377=⊺⇮6883","layer":3},{"info":"⊺⇮4860⇼⇔∾⊺⇮3402=⊺⇮-1458","layer":3},{"info":"⊺⇮6883⨸⪁⊺⇮-1458=⊺⇮10850","layer":2},{"info":"NaN⪢⊺⇮10850=NaN","layer":1},{"info":"⊺⇮3044≹⇙⪍⊺⇮5452=NaN","layer":3},{"info":"⊺⇮1065⪄⊺⇮1915=⊺⇮-161369","layer":3},{"info":"NaN⊭↱⊺⇮-161369=NaN","layer":2},{"info":"⩦⩻⨪⊺⇮2565=⊺⇮2565","layer":3},{"info":"⊺⇮2677⪨≂⊺⇮2465=⊺⇮526","layer":3},{"info":"⊺⇮2565⇼⇔∾⊺⇮526=⊺⇮-2039","layer":2},{"info":"NaN∼⊺⇮-2039=NaN","layer":1},{"info":"NaN⨪↰⇹NaN=NaN","layer":0}]}
{"id":59,"expression_no_base_symbol":"(($1101$+⇶⊼$3326$⨵⪆$7785$↙$3961$)⇼⇔∾(∂$1101$)⨽(∥⊫$2828$))∑⇟⊟(⨑⩽⪐$4154$∀⇚≩$2671$)∀⇚≩($7211$⨸⪁$1870$)↬$3036$⨟⋌⩍$1646$","expression":"((⊺⇮1101+⇶⊼⊺⇮3326⨵⪆⊺⇮7785↙⊺⇮3961)⇼⇔∾(∂⊺⇮1101)⨽(∥⊫⊺⇮2828))∑⇟⊟(⨑⩽⪐⊺⇮4154∀⇚≩⊺⇮2671)∀⇚≩(⊺⇮7211⨸⪁⊺⇮1870)↬⊺⇮3036⨟⋌⩍⊺⇮1646","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":33075,"operation_count":14,"complexity_ratio":2362.5,"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":1101,"base":10},"right_expr":{"type":"numeric_atoms","value":3326,"base":10}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":7785,"base":10},"right_expr":{"type":"numeric_atoms","value":3961,"base":10}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1101,"base":10}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":2828,"base":10}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4154,"base":10},"right_expr":{"type":"numeric_atoms","value":2671,"base":10}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":7211,"base":10},"right_expr":{"type":"numeric_atoms","value":1870,"base":10}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3036,"base":10},"right_expr":{"type":"numeric_atoms","value":1646,"base":10}}}}},"used_operators":["U7g4x0WXJJ","tifHPKVTfV","2DQ55sFlQl","TpPTUOHfaN","yyfyN0ffXY","8HhzD0ZcuI","Uaa54Peajs","P8v4zCKN1o","LRNGc0VcxI","AF7qkfDlqP","B5M0gjZbta","g55IO6H4Gj","rGHVDoGpnC"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","tmPS8pqC7x","DpFCA1CohY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rGHVDoGpnC","W4YGzv6Whe","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1101","layer":4},{"info":"number node, value=3326","layer":4},{"info":"compute binary expreesion, left_input=1101, right_input=3326, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=7785","layer":4},{"info":"number node, value=3961","layer":4},{"info":"compute binary expreesion, left_input=7785, right_input=3961, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-11883","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-11883, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=1101","layer":4},{"info":"compute unary expreesion, input=1101, 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=2828","layer":4},{"info":"compute unary expreesion, input=2828, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3696","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3696, 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 = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=4154","layer":4},{"info":"number node, value=2671","layer":4},{"info":"compute binary expreesion, left_input=4154, right_input=2671, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = 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=7211","layer":4},{"info":"number node, value=1870","layer":4},{"info":"compute binary expreesion, left_input=7211, right_input=1870, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=18162","layer":3},{"info":"number node, value=3036","layer":4},{"info":"number node, value=1646","layer":4},{"info":"compute binary expreesion, left_input=3036, 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 binary expreesion, left_input=18162, 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 = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1101+⇶⊼⊺⇮3326⨵⪆⊺⇮7785↙⊺⇮3961)⇼⇔∾(∂⊺⇮1101)⨽(∥⊫⊺⇮2828))∑⇟⊟(⨑⩽⪐⊺⇮4154∀⇚≩⊺⇮2671)∀⇚≩(⊺⇮7211⨸⪁⊺⇮1870)↬⊺⇮3036⨟⋌⩍⊺⇮1646=NaN","reverse_text":"NaN=((⊺⇮1101+⇶⊼⊺⇮3326⨵⪆⊺⇮7785↙⊺⇮3961)⇼⇔∾(∂⊺⇮1101)⨽(∥⊫⊺⇮2828))∑⇟⊟(⨑⩽⪐⊺⇮4154∀⇚≩⊺⇮2671)∀⇚≩(⊺⇮7211⨸⪁⊺⇮1870)↬⊺⇮3036⨟⋌⩍⊺⇮1646","cot":[{"info":"⊺⇮1101+⇶⊼⊺⇮3326=NaN","layer":3},{"info":"⊺⇮7785↙⊺⇮3961=⊺⇮-11883","layer":3},{"info":"NaN⨵⪆⊺⇮-11883=⊺⇮160","layer":2},{"info":"∂⊺⇮1101=NaN","layer":3},{"info":"∥⊫⊺⇮2828=⊺⇮3696","layer":3},{"info":"NaN⨽⊺⇮3696=NaN","layer":2},{"info":"⊺⇮160⇼⇔∾NaN=NaN","layer":1},{"info":"⊺⇮4154∀⇚≩⊺⇮2671=NaN","layer":3},{"info":"⨑⩽⪐NaN=NaN","layer":2},{"info":"⊺⇮7211⨸⪁⊺⇮1870=⊺⇮18162","layer":3},{"info":"⊺⇮3036⨟⋌⩍⊺⇮1646=NaN","layer":3},{"info":"⊺⇮18162↬NaN=NaN","layer":2},{"info":"NaN∀⇚≩NaN=NaN","layer":1},{"info":"NaN∑⇟⊟NaN=NaN","layer":0}]}
{"id":60,"expression_no_base_symbol":"(($3062$⪢$6991$⊦⊿)⪒(↩$2028$⨎$5154$))⩨(($2844$⩚⊴⇥$2182$)⪘⫢($3744$⨸⪁$1315$))⨟⋌⩍(($2171$⨵⪆$2722$)↺$1672$⋥≓≎$6314$)","expression":"((⊺⇮3062⪢⊺⇮6991⊦⊿)⪒(↩⊺⇮2028⨎⊺⇮5154))⩨((⊺⇮2844⩚⊴⇥⊺⇮2182)⪘⫢(⊺⇮3744⨸⪁⊺⇮1315))⨟⋌⩍((⊺⇮2171⨵⪆⊺⇮2722)↺⊺⇮1672⋥≓≎⊺⇮6314)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":7044,"operation_count":13,"complexity_ratio":541.8461538461538,"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":3062,"base":10},"right_expr":{"type":"numeric_atoms","value":6991,"base":10}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2028,"base":10},"right_expr":{"type":"numeric_atoms","value":5154,"base":10}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2844,"base":10},"right_expr":{"type":"numeric_atoms","value":2182,"base":10}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3744,"base":10},"right_expr":{"type":"numeric_atoms","value":1315,"base":10}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2171,"base":10},"right_expr":{"type":"numeric_atoms","value":2722,"base":10}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1672,"base":10},"right_expr":{"type":"numeric_atoms","value":6314,"base":10}}}}},"used_operators":["2DlMacCsIx","f6k1SAg4EE","14qkJME0vr","dWAJyo7jo9","jLgFTUHLKL","rJVOvQCfKK","rGHVDoGpnC","oacrs7FA3X","NTOWxs364D","g55IO6H4Gj","7j4O788W3g","2DQ55sFlQl","Qy55tPpLXF"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","Tcnh7f0tEr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3062","layer":4},{"info":"number node, value=6991","layer":4},{"info":"compute binary expreesion, left_input=3062, right_input=6991, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=nan","layer":2},{"info":"number node, value=2028","layer":4},{"info":"number node, value=5154","layer":4},{"info":"compute binary expreesion, left_input=2028, right_input=5154, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5154","layer":3},{"info":"compute unary expreesion, input=5154, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-38452","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-38452, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=2844","layer":4},{"info":"number node, value=2182","layer":4},{"info":"compute binary expreesion, left_input=2844, right_input=2182, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5147","layer":3},{"info":"number node, value=3744","layer":4},{"info":"number node, value=1315","layer":4},{"info":"compute binary expreesion, left_input=3744, right_input=1315, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10118","layer":3},{"info":"compute binary expreesion, left_input=-5147, right_input=10118, 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=2171","layer":4},{"info":"number node, value=2722","layer":4},{"info":"compute binary expreesion, left_input=2171, right_input=2722, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1672","layer":4},{"info":"number node, value=6314","layer":4},{"info":"compute binary expreesion, left_input=1672, right_input=6314, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=10989","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=10989, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=10989","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=10989, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮3062⪢⊺⇮6991⊦⊿)⪒(↩⊺⇮2028⨎⊺⇮5154))⩨((⊺⇮2844⩚⊴⇥⊺⇮2182)⪘⫢(⊺⇮3744⨸⪁⊺⇮1315))⨟⋌⩍((⊺⇮2171⨵⪆⊺⇮2722)↺⊺⇮1672⋥≓≎⊺⇮6314)=NaN","reverse_text":"NaN=((⊺⇮3062⪢⊺⇮6991⊦⊿)⪒(↩⊺⇮2028⨎⊺⇮5154))⩨((⊺⇮2844⩚⊴⇥⊺⇮2182)⪘⫢(⊺⇮3744⨸⪁⊺⇮1315))⨟⋌⩍((⊺⇮2171⨵⪆⊺⇮2722)↺⊺⇮1672⋥≓≎⊺⇮6314)","cot":[{"info":"⊺⇮3062⪢⊺⇮6991=NaN","layer":3},{"info":"NaN⊦⊿=NaN","layer":2},{"info":"⊺⇮2028⨎⊺⇮5154=⊺⇮5154","layer":3},{"info":"↩⊺⇮5154=⊺⇮-38452","layer":2},{"info":"NaN⪒⊺⇮-38452=NaN","layer":1},{"info":"⊺⇮2844⩚⊴⇥⊺⇮2182=⊺⇮-5147","layer":3},{"info":"⊺⇮3744⨸⪁⊺⇮1315=⊺⇮10118","layer":3},{"info":"⊺⇮-5147⪘⫢⊺⇮10118=⊺⇮-1","layer":2},{"info":"⊺⇮2171⨵⪆⊺⇮2722=⊺⇮160","layer":3},{"info":"⊺⇮1672⋥≓≎⊺⇮6314=⊺⇮10989","layer":3},{"info":"⊺⇮160↺⊺⇮10989=⊺⇮10989","layer":2},{"info":"⊺⇮-1⨟⋌⩍⊺⇮10989=NaN","layer":1},{"info":"NaN⩨NaN=NaN","layer":0}]}
{"id":61,"expression_no_base_symbol":"(↔($7219$⪒$1824$))+⇶⊼($1237$∸)⨓($2436$∲⫓$2186$)⋳⪒((($1186$∲⫓$1360$)∲⫓(≤/$6970$))-(⨰⫟⨤($1677$⪒$1904$)))","expression":"(↔(⊺⇮7219⪒⊺⇮1824))+⇶⊼(⊺⇮1237∸)⨓(⊺⇮2436∲⫓⊺⇮2186)⋳⪒(((⊺⇮1186∲⫓⊺⇮1360)∲⫓(≤/⊺⇮6970))-(⨰⫟⨤(⊺⇮1677⪒⊺⇮1904)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":15443,"operation_count":13,"complexity_ratio":1187.923076923077,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":7219,"base":10},"right_expr":{"type":"numeric_atoms","value":1824,"base":10}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":1237,"base":10}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2436,"base":10},"right_expr":{"type":"numeric_atoms","value":2186,"base":10}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1186,"base":10},"right_expr":{"type":"numeric_atoms","value":1360,"base":10}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":6970,"base":10}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1677,"base":10},"right_expr":{"type":"numeric_atoms","value":1904,"base":10}}}}},"used_operators":["12rbrZMWeM","TpPTUOHfaN","ruOEQAzv1W","f6k1SAg4EE","3ViojmjbAp","o20kRiQErp","i8ToyICDmI","rysDP5nf3Z","eLAdDNolq6","Tw270M8GLb"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7219","layer":4},{"info":"number node, value=1824","layer":4},{"info":"compute binary expreesion, left_input=7219, right_input=1824, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-9043","layer":3},{"info":"compute unary expreesion, input=-9043, 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=1237","layer":4},{"info":"compute unary expreesion, input=1237, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=2436","layer":4},{"info":"number node, value=2186","layer":4},{"info":"compute binary expreesion, left_input=2436, right_input=2186, 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=177, 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=-134, 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=1186","layer":4},{"info":"number node, value=1360","layer":4},{"info":"compute binary expreesion, left_input=1186, right_input=1360, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=6970","layer":4},{"info":"compute unary expreesion, input=6970, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-6486","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-6486, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=1677","layer":4},{"info":"number node, value=1904","layer":4},{"info":"compute binary expreesion, left_input=1677, right_input=1904, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3581","layer":3},{"info":"compute unary expreesion, input=-3581, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(↔(⊺⇮7219⪒⊺⇮1824))+⇶⊼(⊺⇮1237∸)⨓(⊺⇮2436∲⫓⊺⇮2186)⋳⪒(((⊺⇮1186∲⫓⊺⇮1360)∲⫓(≤/⊺⇮6970))-(⨰⫟⨤(⊺⇮1677⪒⊺⇮1904)))=NaN","reverse_text":"NaN=(↔(⊺⇮7219⪒⊺⇮1824))+⇶⊼(⊺⇮1237∸)⨓(⊺⇮2436∲⫓⊺⇮2186)⋳⪒(((⊺⇮1186∲⫓⊺⇮1360)∲⫓(≤/⊺⇮6970))-(⨰⫟⨤(⊺⇮1677⪒⊺⇮1904)))","cot":[{"info":"⊺⇮7219⪒⊺⇮1824=⊺⇮-9043","layer":3},{"info":"↔⊺⇮-9043=⊺⇮-134","layer":2},{"info":"⊺⇮1237∸=⊺⇮177","layer":3},{"info":"⊺⇮2436∲⫓⊺⇮2186=⊺⇮0","layer":3},{"info":"⊺⇮177⨓⊺⇮0=NaN","layer":2},{"info":"⊺⇮-134+⇶⊼NaN=NaN","layer":1},{"info":"⊺⇮1186∲⫓⊺⇮1360=⊺⇮0","layer":3},{"info":"≤/⊺⇮6970=⊺⇮-6486","layer":3},{"info":"⊺⇮0∲⫓⊺⇮-6486=⊺⇮0","layer":2},{"info":"⊺⇮1677⪒⊺⇮1904=⊺⇮-3581","layer":3},{"info":"⨰⫟⨤⊺⇮-3581=NaN","layer":2},{"info":"⊺⇮0-NaN=NaN","layer":1},{"info":"NaN⋳⪒NaN=NaN","layer":0}]}
{"id":62,"expression_no_base_symbol":"↥((∥⊫$3042$≎⊠⪸$8002$)-($2617$⪠⩆⊳)⨳⩥⨓$4704$≎⊠⪸$1136$)","expression":"↥((∥⊫⊺⇮3042≎⊠⪸⊺⇮8002)-(⊺⇮2617⪠⩆⊳)⨳⩥⨓⊺⇮4704≎⊠⪸⊺⇮1136)","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":8977,"operation_count":7,"complexity_ratio":1282.4285714285713,"tree":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3042,"base":10},"right_expr":{"type":"numeric_atoms","value":8002,"base":10}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":2617,"base":10}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4704,"base":10},"right_expr":{"type":"numeric_atoms","value":1136,"base":10}}}}},"used_operators":["A8NUZmVepG","rysDP5nf3Z","P8v4zCKN1o","bJkvcejdHO","nCS4ZIUYfx","JLbD19bQDL"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮34","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3042","layer":4},{"info":"number node, value=8002","layer":4},{"info":"compute binary expreesion, left_input=3042, right_input=8002, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=787405","layer":3},{"info":"compute unary expreesion, input=787405, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=788273","layer":2},{"info":"number node, value=2617","layer":4},{"info":"compute unary expreesion, input=2617, 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=4704","layer":4},{"info":"number node, value=1136","layer":4},{"info":"compute binary expreesion, left_input=4704, right_input=1136, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1217863","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1217863, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1217863","layer":2},{"info":"compute binary expreesion, left_input=788273, right_input=1217863, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-429590","layer":1},{"info":"compute unary expreesion, input=-429590, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=34","layer":0}],"base":10,"result_base":10,"text":"↥((∥⊫⊺⇮3042≎⊠⪸⊺⇮8002)-(⊺⇮2617⪠⩆⊳)⨳⩥⨓⊺⇮4704≎⊠⪸⊺⇮1136)=⊺⇮34","reverse_text":"⊺⇮34=↥((∥⊫⊺⇮3042≎⊠⪸⊺⇮8002)-(⊺⇮2617⪠⩆⊳)⨳⩥⨓⊺⇮4704≎⊠⪸⊺⇮1136)","cot":[{"info":"⊺⇮3042≎⊠⪸⊺⇮8002=⊺⇮787405","layer":3},{"info":"∥⊫⊺⇮787405=⊺⇮788273","layer":2},{"info":"⊺⇮2617⪠⩆⊳=⊺⇮0","layer":3},{"info":"⊺⇮4704≎⊠⪸⊺⇮1136=⊺⇮1217863","layer":3},{"info":"⊺⇮0⨳⩥⨓⊺⇮1217863=⊺⇮1217863","layer":2},{"info":"⊺⇮788273-⊺⇮1217863=⊺⇮-429590","layer":1},{"info":"↥⊺⇮-429590=⊺⇮34","layer":0}]}
{"id":63,"expression_no_base_symbol":"-((↯⪼($2147$∀⇚≩$3055$))⪐)","expression":"-((↯⪼(⊺⇮2147∀⇚≩⊺⇮3055))⪐)","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":15063,"operation_count":4,"complexity_ratio":3765.75,"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":2147,"base":10},"right_expr":{"type":"numeric_atoms","value":3055,"base":10}}}}},"used_operators":["t8gj7n24qd","eH2TOUuTDT","8jW3W4yZS5","LRNGc0VcxI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","X99M06cbEe"],"result":"⊺⇮42","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=2147","layer":4},{"info":"number node, value=3055","layer":4},{"info":"compute binary expreesion, left_input=2147, right_input=3055, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = 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 = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=-42","layer":1},{"info":"compute unary expreesion, input=-42, op_id = t8gj7n24qd, unary_op_definition = 'None', output=42","layer":0}],"base":10,"result_base":10,"text":"-((↯⪼(⊺⇮2147∀⇚≩⊺⇮3055))⪐)=⊺⇮42","reverse_text":"⊺⇮42=-((↯⪼(⊺⇮2147∀⇚≩⊺⇮3055))⪐)","cot":[{"info":"⊺⇮2147∀⇚≩⊺⇮3055=NaN","layer":3},{"info":"↯⪼NaN=⊺⇮-21","layer":2},{"info":"⊺⇮-21⪐=⊺⇮-42","layer":1},{"info":"-⊺⇮-42=⊺⇮42","layer":0}]}
{"id":64,"expression_no_base_symbol":"(⨞⊢(⨑⩽⪐$2238$⫥∨⫟$3127$))⩚⊴⇥((↩$4030$⨰$3267$)⨐⩸⫘($5352$⋳⪒$2324$↙$2084$∑⇟⊟$4413$))","expression":"(⨞⊢(⨑⩽⪐⊺⇮2238⫥∨⫟⊺⇮3127))⩚⊴⇥((↩⊺⇮4030⨰⊺⇮3267)⨐⩸⫘(⊺⇮5352⋳⪒⊺⇮2324↙⊺⇮2084∑⇟⊟⊺⇮4413))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":201,"operation_count":10,"complexity_ratio":20.1,"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":2238,"base":10},"right_expr":{"type":"numeric_atoms","value":3127,"base":10}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4030,"base":10},"right_expr":{"type":"numeric_atoms","value":3267,"base":10}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":5352,"base":10},"right_expr":{"type":"numeric_atoms","value":2324,"base":10}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2084,"base":10},"right_expr":{"type":"numeric_atoms","value":4413,"base":10}}}}},"used_operators":["NTOWxs364D","xUOZtlo3hN","AF7qkfDlqP","KYD54nUTWz","fu6greOZ01","jLgFTUHLKL","eewbuw0ToL","yyfyN0ffXY","12rbrZMWeM","U7g4x0WXJJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC","3ViojmjbAp","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2238","layer":4},{"info":"number node, value=3127","layer":4},{"info":"compute binary expreesion, left_input=2238, right_input=3127, 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":"compute unary expreesion, input=nan, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":1},{"info":"number node, value=4030","layer":4},{"info":"number node, value=3267","layer":4},{"info":"compute binary expreesion, left_input=4030, right_input=3267, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=773","layer":3},{"info":"compute unary expreesion, input=773, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-3404","layer":2},{"info":"number node, value=5352","layer":4},{"info":"number node, value=2324","layer":4},{"info":"compute binary expreesion, left_input=5352, right_input=2324, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=8093","layer":3},{"info":"number node, value=2084","layer":4},{"info":"number node, value=4413","layer":4},{"info":"compute binary expreesion, left_input=2084, right_input=4413, 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=8093, 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=-3404, 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 = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⨞⊢(⨑⩽⪐⊺⇮2238⫥∨⫟⊺⇮3127))⩚⊴⇥((↩⊺⇮4030⨰⊺⇮3267)⨐⩸⫘(⊺⇮5352⋳⪒⊺⇮2324↙⊺⇮2084∑⇟⊟⊺⇮4413))=NaN","reverse_text":"NaN=(⨞⊢(⨑⩽⪐⊺⇮2238⫥∨⫟⊺⇮3127))⩚⊴⇥((↩⊺⇮4030⨰⊺⇮3267)⨐⩸⫘(⊺⇮5352⋳⪒⊺⇮2324↙⊺⇮2084∑⇟⊟⊺⇮4413))","cot":[{"info":"⊺⇮2238⫥∨⫟⊺⇮3127=NaN","layer":3},{"info":"⨑⩽⪐NaN=NaN","layer":2},{"info":"⨞⊢NaN=NaN","layer":1},{"info":"⊺⇮4030⨰⊺⇮3267=⊺⇮773","layer":3},{"info":"↩⊺⇮773=⊺⇮-3404","layer":2},{"info":"⊺⇮5352⋳⪒⊺⇮2324=⊺⇮8093","layer":3},{"info":"⊺⇮2084∑⇟⊟⊺⇮4413=NaN","layer":3},{"info":"⊺⇮8093↙NaN=NaN","layer":2},{"info":"⊺⇮-3404⨐⩸⫘NaN=NaN","layer":1},{"info":"NaN⩚⊴⇥NaN=NaN","layer":0}]}
{"id":65,"expression_no_base_symbol":"(⫛⫱⨽(($3268$⩨$1239$)↬(⪝⪂⫅$1460$)))⪨≂(↩(⊄⩳↩$3660$)⋓($6852$∲⫓$1084$))","expression":"(⫛⫱⨽((⊺⇮3268⩨⊺⇮1239)↬(⪝⪂⫅⊺⇮1460)))⪨≂(↩(⊄⩳↩⊺⇮3660)⋓(⊺⇮6852∲⫓⊺⇮1084))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1619,"operation_count":9,"complexity_ratio":179.88888888888889,"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":3268,"base":10},"right_expr":{"type":"numeric_atoms","value":1239,"base":10}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1460,"base":10}}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":3660,"base":10}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":6852,"base":10},"right_expr":{"type":"numeric_atoms","value":1084,"base":10}}}}},"used_operators":["sdazOOVcIp","DlLNRPXxWL","B5M0gjZbta","2DlMacCsIx","XTarYq4gQB","jLgFTUHLKL","T2fj7uvVaJ","8w2t5hMYqp","i8ToyICDmI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","rGHVDoGpnC","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","9HNa5Wba9A","8w2t5hMYqp","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮-9586","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3268","layer":4},{"info":"number node, value=1239","layer":4},{"info":"compute binary expreesion, left_input=3268, right_input=1239, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=1460","layer":4},{"info":"compute unary expreesion, input=1460, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-214620","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-214620, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=-214620","layer":2},{"info":"compute unary expreesion, input=-214620, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"number node, value=3660","layer":4},{"info":"compute unary expreesion, input=3660, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-10980","layer":3},{"info":"number node, value=6852","layer":4},{"info":"number node, value=1084","layer":4},{"info":"compute binary expreesion, left_input=6852, right_input=1084, 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=-10980, 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 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 binary expreesion, left_input=0, right_input=4844, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-9586","layer":0}],"base":10,"result_base":10,"text":"(⫛⫱⨽((⊺⇮3268⩨⊺⇮1239)↬(⪝⪂⫅⊺⇮1460)))⪨≂(↩(⊄⩳↩⊺⇮3660)⋓(⊺⇮6852∲⫓⊺⇮1084))=⊺⇮-9586","reverse_text":"⊺⇮-9586=(⫛⫱⨽((⊺⇮3268⩨⊺⇮1239)↬(⪝⪂⫅⊺⇮1460)))⪨≂(↩(⊄⩳↩⊺⇮3660)⋓(⊺⇮6852∲⫓⊺⇮1084))","cot":[{"info":"⊺⇮3268⩨⊺⇮1239=⊺⇮0","layer":3},{"info":"⪝⪂⫅⊺⇮1460=⊺⇮-214620","layer":3},{"info":"⊺⇮0↬⊺⇮-214620=⊺⇮-214620","layer":2},{"info":"⫛⫱⨽⊺⇮-214620=⊺⇮0","layer":1},{"info":"⊄⩳↩⊺⇮3660=⊺⇮-10980","layer":3},{"info":"⊺⇮6852∲⫓⊺⇮1084=⊺⇮0","layer":3},{"info":"⊺⇮-10980⋓⊺⇮0=⊺⇮0","layer":2},{"info":"↩⊺⇮0=⊺⇮4844","layer":1},{"info":"⊺⇮0⪨≂⊺⇮4844=⊺⇮-9586","layer":0}]}
{"id":66,"expression_no_base_symbol":"(($2449$⇋≉)⪄$8097$⪢$1831$)⨓($3919$⨟⋌⩍$1185$⇼⇔∾($4997$⪨≂$4488$))∲⫓(↽≂($5416$⨓$2667$)⪮%⊝($1764$*$1988$))","expression":"((⊺⇮2449⇋≉)⪄⊺⇮8097⪢⊺⇮1831)⨓(⊺⇮3919⨟⋌⩍⊺⇮1185⇼⇔∾(⊺⇮4997⪨≂⊺⇮4488))∲⫓(↽≂(⊺⇮5416⨓⊺⇮2667)⪮%⊝(⊺⇮1764*⊺⇮1988))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":14874,"operation_count":12,"complexity_ratio":1239.5,"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":2449,"base":10}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":8097,"base":10},"right_expr":{"type":"numeric_atoms","value":1831,"base":10}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3919,"base":10},"right_expr":{"type":"numeric_atoms","value":1185,"base":10}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4997,"base":10},"right_expr":{"type":"numeric_atoms","value":4488,"base":10}}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":5416,"base":10},"right_expr":{"type":"numeric_atoms","value":2667,"base":10}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1764,"base":10},"right_expr":{"type":"numeric_atoms","value":1988,"base":10}}}}},"used_operators":["i8ToyICDmI","3ViojmjbAp","SUmda5xLS4","XIabStNQrY","dWAJyo7jo9","tifHPKVTfV","rGHVDoGpnC","sdazOOVcIp","u6S6b8DprG","IWmyXbctLI","9HNa5Wba9A"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2449","layer":4},{"info":"compute unary expreesion, input=2449, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=4800","layer":3},{"info":"number node, value=8097","layer":4},{"info":"number node, value=1831","layer":4},{"info":"compute binary expreesion, left_input=8097, right_input=1831, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=4800, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":2},{"info":"number node, value=3919","layer":4},{"info":"number node, value=1185","layer":4},{"info":"compute binary expreesion, left_input=3919, right_input=1185, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=4997","layer":4},{"info":"number node, value=4488","layer":4},{"info":"compute binary expreesion, left_input=4997, right_input=4488, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=1120","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1120, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"number node, value=5416","layer":4},{"info":"number node, value=2667","layer":4},{"info":"compute binary expreesion, left_input=5416, right_input=2667, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2670","layer":3},{"info":"number node, value=1764","layer":4},{"info":"number node, value=1988","layer":4},{"info":"compute binary expreesion, left_input=1764, right_input=1988, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3506832","layer":3},{"info":"compute binary expreesion, left_input=-2670, right_input=3506832, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-5024","layer":2},{"info":"compute unary expreesion, input=-5024, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=10048","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=10048, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮2449⇋≉)⪄⊺⇮8097⪢⊺⇮1831)⨓(⊺⇮3919⨟⋌⩍⊺⇮1185⇼⇔∾(⊺⇮4997⪨≂⊺⇮4488))∲⫓(↽≂(⊺⇮5416⨓⊺⇮2667)⪮%⊝(⊺⇮1764*⊺⇮1988))=⊺⇮0","reverse_text":"⊺⇮0=((⊺⇮2449⇋≉)⪄⊺⇮8097⪢⊺⇮1831)⨓(⊺⇮3919⨟⋌⩍⊺⇮1185⇼⇔∾(⊺⇮4997⪨≂⊺⇮4488))∲⫓(↽≂(⊺⇮5416⨓⊺⇮2667)⪮%⊝(⊺⇮1764*⊺⇮1988))","cot":[{"info":"⊺⇮2449⇋≉=⊺⇮4800","layer":3},{"info":"⊺⇮8097⪢⊺⇮1831=NaN","layer":3},{"info":"⊺⇮4800⪄NaN=NaN","layer":2},{"info":"⊺⇮3919⨟⋌⩍⊺⇮1185=NaN","layer":3},{"info":"⊺⇮4997⪨≂⊺⇮4488=⊺⇮1120","layer":3},{"info":"NaN⇼⇔∾⊺⇮1120=NaN","layer":2},{"info":"NaN⨓NaN=NaN","layer":1},{"info":"⊺⇮5416⨓⊺⇮2667=⊺⇮-2670","layer":3},{"info":"⊺⇮1764*⊺⇮1988=⊺⇮3506832","layer":3},{"info":"⊺⇮-2670⪮%⊝⊺⇮3506832=⊺⇮-5024","layer":2},{"info":"↽≂⊺⇮-5024=⊺⇮10048","layer":1},{"info":"NaN∲⫓⊺⇮10048=⊺⇮0","layer":0}]}
{"id":67,"expression_no_base_symbol":"(($1819$↺$1257$⪨≂(≉$1592$))%((+⊝⨔$1539$)⨁⊸⫻))⪢((⨈⫕$6592$+⇶⊼$1612$)∀⇚≩(↩$2822$⪘⫢$1071$))","expression":"((⊺⇮1819↺⊺⇮1257⪨≂(≉⊺⇮1592))%((+⊝⨔⊺⇮1539)⨁⊸⫻))⪢((⨈⫕⊺⇮6592+⇶⊼⊺⇮1612)∀⇚≩(↩⊺⇮2822⪘⫢⊺⇮1071))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":617,"operation_count":12,"complexity_ratio":51.416666666666664,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1819,"base":10},"right_expr":{"type":"numeric_atoms","value":1257,"base":10}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1592,"base":10}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1539,"base":10}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":6592,"base":10},"right_expr":{"type":"numeric_atoms","value":1612,"base":10}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2822,"base":10},"right_expr":{"type":"numeric_atoms","value":1071,"base":10}}}}},"used_operators":["dWAJyo7jo9","k8jYdgA6NY","sdazOOVcIp","7j4O788W3g","e1ybzncUwg","glklzrTFfD","DhbWaqg5eL","LRNGc0VcxI","megm06wKyl","TpPTUOHfaN","jLgFTUHLKL","oacrs7FA3X"],"dependent_operators":["k8jYdgA6NY","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","X99M06cbEe","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","AHs5Up7iyr","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1819","layer":4},{"info":"number node, value=1257","layer":4},{"info":"compute binary expreesion, left_input=1819, right_input=1257, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1257","layer":3},{"info":"number node, value=1592","layer":4},{"info":"compute unary expreesion, input=1592, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2123","layer":3},{"info":"compute binary expreesion, left_input=1257, right_input=2123, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-1630","layer":2},{"info":"number node, value=1539","layer":4},{"info":"compute unary expreesion, input=1539, 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 = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1522","layer":2},{"info":"compute binary expreesion, left_input=-1630, right_input=1522, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1414","layer":1},{"info":"number node, value=6592","layer":4},{"info":"number node, value=1612","layer":4},{"info":"compute binary expreesion, left_input=6592, right_input=1612, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"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=2822","layer":4},{"info":"number node, value=1071","layer":4},{"info":"compute binary expreesion, left_input=2822, right_input=1071, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5520","layer":3},{"info":"compute unary expreesion, input=5520, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-41380","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=-41380, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1414, 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":10,"result_base":10,"text":"((⊺⇮1819↺⊺⇮1257⪨≂(≉⊺⇮1592))%((+⊝⨔⊺⇮1539)⨁⊸⫻))⪢((⨈⫕⊺⇮6592+⇶⊼⊺⇮1612)∀⇚≩(↩⊺⇮2822⪘⫢⊺⇮1071))=NaN","reverse_text":"NaN=((⊺⇮1819↺⊺⇮1257⪨≂(≉⊺⇮1592))%((+⊝⨔⊺⇮1539)⨁⊸⫻))⪢((⨈⫕⊺⇮6592+⇶⊼⊺⇮1612)∀⇚≩(↩⊺⇮2822⪘⫢⊺⇮1071))","cot":[{"info":"⊺⇮1819↺⊺⇮1257=⊺⇮1257","layer":3},{"info":"≉⊺⇮1592=⊺⇮2123","layer":3},{"info":"⊺⇮1257⪨≂⊺⇮2123=⊺⇮-1630","layer":2},{"info":"+⊝⨔⊺⇮1539=⊺⇮1522","layer":3},{"info":"⊺⇮1522⨁⊸⫻=⊺⇮1522","layer":2},{"info":"⊺⇮-1630%⊺⇮1522=⊺⇮1414","layer":1},{"info":"⊺⇮6592+⇶⊼⊺⇮1612=NaN","layer":3},{"info":"⨈⫕NaN=⊺⇮-21","layer":2},{"info":"⊺⇮2822⪘⫢⊺⇮1071=⊺⇮5520","layer":3},{"info":"↩⊺⇮5520=⊺⇮-41380","layer":2},{"info":"⊺⇮-21∀⇚≩⊺⇮-41380=NaN","layer":1},{"info":"⊺⇮1414⪢NaN=NaN","layer":0}]}
{"id":68,"expression_no_base_symbol":"($1549$⫥∨⫟$4475$⪄$1014$⨽$3491$⪨≂($4138$+⇶⊼$1479$)≧⫂∧($4203$⊉≛↸$2053$))∲⫓(($2558$⋷$3574$)⊭∹↮)⨪↰⇹(⨰⫟⨤($5865$⪒$5149$))","expression":"(⊺⇮1549⫥∨⫟⊺⇮4475⪄⊺⇮1014⨽⊺⇮3491⪨≂(⊺⇮4138+⇶⊼⊺⇮1479)≧⫂∧(⊺⇮4203⊉≛↸⊺⇮2053))∲⫓((⊺⇮2558⋷⊺⇮3574)⊭∹↮)⨪↰⇹(⨰⫟⨤(⊺⇮5865⪒⊺⇮5149))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":55349,"operation_count":13,"complexity_ratio":4257.615384615385,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1549,"base":10},"right_expr":{"type":"numeric_atoms","value":4475,"base":10}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1014,"base":10},"right_expr":{"type":"numeric_atoms","value":3491,"base":10}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4138,"base":10},"right_expr":{"type":"numeric_atoms","value":1479,"base":10}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4203,"base":10},"right_expr":{"type":"numeric_atoms","value":2053,"base":10}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2558,"base":10},"right_expr":{"type":"numeric_atoms","value":3574,"base":10}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":5865,"base":10},"right_expr":{"type":"numeric_atoms","value":5149,"base":10}}}}},"used_operators":["i8ToyICDmI","sdazOOVcIp","SUmda5xLS4","KYD54nUTWz","8HhzD0ZcuI","Ph9nP6C5qx","TpPTUOHfaN","DZ8iAZOCBD","tmPS8pqC7x","xNBdhnnwKq","23Mk6UjR3U","Tw270M8GLb","f6k1SAg4EE"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","8HhzD0ZcuI","rGHVDoGpnC","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1549","layer":4},{"info":"number node, value=4475","layer":4},{"info":"compute binary expreesion, left_input=1549, right_input=4475, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1014","layer":4},{"info":"number node, value=3491","layer":4},{"info":"compute binary expreesion, left_input=1014, right_input=3491, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3093747","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3093747, 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=4138","layer":4},{"info":"number node, value=1479","layer":4},{"info":"compute binary expreesion, left_input=4138, right_input=1479, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=4203","layer":4},{"info":"number node, value=2053","layer":4},{"info":"compute binary expreesion, left_input=4203, right_input=2053, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=8406","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8406, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=7933","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=7933, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-7806","layer":1},{"info":"number node, value=2558","layer":4},{"info":"number node, value=3574","layer":4},{"info":"compute binary expreesion, left_input=2558, right_input=3574, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=4590","layer":3},{"info":"compute unary expreesion, input=4590, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=9180","layer":2},{"info":"number node, value=5865","layer":4},{"info":"number node, value=5149","layer":4},{"info":"compute binary expreesion, left_input=5865, right_input=5149, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-11014","layer":3},{"info":"compute unary expreesion, input=-11014, 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=9180, 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=9180","layer":1},{"info":"compute binary expreesion, left_input=-7806, right_input=9180, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1549⫥∨⫟⊺⇮4475⪄⊺⇮1014⨽⊺⇮3491⪨≂(⊺⇮4138+⇶⊼⊺⇮1479)≧⫂∧(⊺⇮4203⊉≛↸⊺⇮2053))∲⫓((⊺⇮2558⋷⊺⇮3574)⊭∹↮)⨪↰⇹(⨰⫟⨤(⊺⇮5865⪒⊺⇮5149))=⊺⇮0","reverse_text":"⊺⇮0=(⊺⇮1549⫥∨⫟⊺⇮4475⪄⊺⇮1014⨽⊺⇮3491⪨≂(⊺⇮4138+⇶⊼⊺⇮1479)≧⫂∧(⊺⇮4203⊉≛↸⊺⇮2053))∲⫓((⊺⇮2558⋷⊺⇮3574)⊭∹↮)⨪↰⇹(⨰⫟⨤(⊺⇮5865⪒⊺⇮5149))","cot":[{"info":"⊺⇮1549⫥∨⫟⊺⇮4475=NaN","layer":3},{"info":"⊺⇮1014⨽⊺⇮3491=⊺⇮-3093747","layer":3},{"info":"NaN⪄⊺⇮-3093747=⊺⇮3979","layer":2},{"info":"⊺⇮4138+⇶⊼⊺⇮1479=NaN","layer":3},{"info":"⊺⇮4203⊉≛↸⊺⇮2053=⊺⇮8406","layer":3},{"info":"NaN≧⫂∧⊺⇮8406=⊺⇮7933","layer":2},{"info":"⊺⇮3979⪨≂⊺⇮7933=⊺⇮-7806","layer":1},{"info":"⊺⇮2558⋷⊺⇮3574=⊺⇮4590","layer":3},{"info":"⊺⇮4590⊭∹↮=⊺⇮9180","layer":2},{"info":"⊺⇮5865⪒⊺⇮5149=⊺⇮-11014","layer":3},{"info":"⨰⫟⨤⊺⇮-11014=NaN","layer":2},{"info":"⊺⇮9180⨪↰⇹NaN=⊺⇮9180","layer":1},{"info":"⊺⇮-7806∲⫓⊺⇮9180=⊺⇮0","layer":0}]}
{"id":69,"expression_no_base_symbol":"(∂($1341$⨳⩥⨓$1159$⊉≛↸(⩦⩻⨪$2702$)))+⇶⊼(($3280$+$1560$)∲⫓$5576$⨎$5068$)⇷($3748$⫥∨⫟$1273$)∀⇚≩($1604$+⇶⊼$8884$)","expression":"(∂(⊺⇮1341⨳⩥⨓⊺⇮1159⊉≛↸(⩦⩻⨪⊺⇮2702)))+⇶⊼((⊺⇮3280+⊺⇮1560)∲⫓⊺⇮5576⨎⊺⇮5068)⇷(⊺⇮3748⫥∨⫟⊺⇮1273)∀⇚≩(⊺⇮1604+⇶⊼⊺⇮8884)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":595,"operation_count":12,"complexity_ratio":49.583333333333336,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1341,"base":10},"right_expr":{"type":"numeric_atoms","value":1159,"base":10}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2702,"base":10}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3280,"base":10},"right_expr":{"type":"numeric_atoms","value":1560,"base":10}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5576,"base":10},"right_expr":{"type":"numeric_atoms","value":5068,"base":10}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3748,"base":10},"right_expr":{"type":"numeric_atoms","value":1273,"base":10}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1604,"base":10},"right_expr":{"type":"numeric_atoms","value":8884,"base":10}}}}},"used_operators":["TpPTUOHfaN","Uaa54Peajs","DZ8iAZOCBD","nCS4ZIUYfx","2td37pGCOC","mp7IySMOzn","i8ToyICDmI","W4YGzv6Whe","rJVOvQCfKK","LRNGc0VcxI","KYD54nUTWz"],"dependent_operators":["AHs5Up7iyr","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","X99M06cbEe","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1341","layer":4},{"info":"number node, value=1159","layer":4},{"info":"compute binary expreesion, left_input=1341, right_input=1159, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-182","layer":3},{"info":"number node, value=2702","layer":4},{"info":"compute unary expreesion, input=2702, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2702","layer":3},{"info":"compute binary expreesion, left_input=-182, right_input=2702, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-2702","layer":2},{"info":"compute unary expreesion, input=-2702, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=2438","layer":1},{"info":"number node, value=3280","layer":4},{"info":"number node, value=1560","layer":4},{"info":"compute binary expreesion, left_input=3280, right_input=1560, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4840","layer":3},{"info":"number node, value=5576","layer":4},{"info":"number node, value=5068","layer":4},{"info":"compute binary expreesion, left_input=5576, right_input=5068, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5068","layer":3},{"info":"compute binary expreesion, left_input=4840, right_input=5068, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=3748","layer":4},{"info":"number node, value=1273","layer":4},{"info":"compute binary expreesion, left_input=3748, right_input=1273, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1604","layer":4},{"info":"number node, value=8884","layer":4},{"info":"compute binary expreesion, left_input=1604, right_input=8884, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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 = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2438, 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":10,"result_base":10,"text":"(∂(⊺⇮1341⨳⩥⨓⊺⇮1159⊉≛↸(⩦⩻⨪⊺⇮2702)))+⇶⊼((⊺⇮3280+⊺⇮1560)∲⫓⊺⇮5576⨎⊺⇮5068)⇷(⊺⇮3748⫥∨⫟⊺⇮1273)∀⇚≩(⊺⇮1604+⇶⊼⊺⇮8884)=NaN","reverse_text":"NaN=(∂(⊺⇮1341⨳⩥⨓⊺⇮1159⊉≛↸(⩦⩻⨪⊺⇮2702)))+⇶⊼((⊺⇮3280+⊺⇮1560)∲⫓⊺⇮5576⨎⊺⇮5068)⇷(⊺⇮3748⫥∨⫟⊺⇮1273)∀⇚≩(⊺⇮1604+⇶⊼⊺⇮8884)","cot":[{"info":"⊺⇮1341⨳⩥⨓⊺⇮1159=⊺⇮-182","layer":3},{"info":"⩦⩻⨪⊺⇮2702=⊺⇮2702","layer":3},{"info":"⊺⇮-182⊉≛↸⊺⇮2702=⊺⇮-2702","layer":2},{"info":"∂⊺⇮-2702=⊺⇮2438","layer":1},{"info":"⊺⇮3280+⊺⇮1560=⊺⇮4840","layer":3},{"info":"⊺⇮5576⨎⊺⇮5068=⊺⇮5068","layer":3},{"info":"⊺⇮4840∲⫓⊺⇮5068=⊺⇮0","layer":2},{"info":"⊺⇮3748⫥∨⫟⊺⇮1273=NaN","layer":3},{"info":"⊺⇮1604+⇶⊼⊺⇮8884=NaN","layer":3},{"info":"NaN∀⇚≩NaN=NaN","layer":2},{"info":"⊺⇮0⇷NaN=NaN","layer":1},{"info":"⊺⇮2438+⇶⊼NaN=NaN","layer":0}]}
{"id":70,"expression_no_base_symbol":"(↥$2617$∑⇟⊟$3374$)⨟⋌⩍($3824$∲⫓$1492$⫡⨏$1412$⩚⊴⇥$1073$)⨰(($1712$⩠)≎⊠⪸(⋗⩬⋾$5962$)⋳⪒($1012$⩷∴$2304$⇼⇔∾($1859$⇼⇔∾$4035$)))","expression":"(↥⊺⇮2617∑⇟⊟⊺⇮3374)⨟⋌⩍(⊺⇮3824∲⫓⊺⇮1492⫡⨏⊺⇮1412⩚⊴⇥⊺⇮1073)⨰((⊺⇮1712⩠)≎⊠⪸(⋗⩬⋾⊺⇮5962)⋳⪒(⊺⇮1012⩷∴⊺⇮2304⇼⇔∾(⊺⇮1859⇼⇔∾⊺⇮4035)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":70,"operation_count":14,"complexity_ratio":5.0,"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":2617,"base":10},"right_expr":{"type":"numeric_atoms","value":3374,"base":10}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3824,"base":10},"right_expr":{"type":"numeric_atoms","value":1492,"base":10}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1412,"base":10},"right_expr":{"type":"numeric_atoms","value":1073,"base":10}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1712,"base":10}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":5962,"base":10}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1012,"base":10},"right_expr":{"type":"numeric_atoms","value":2304,"base":10}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1859,"base":10},"right_expr":{"type":"numeric_atoms","value":4035,"base":10}}}}},"used_operators":["eewbuw0ToL","rGHVDoGpnC","A8NUZmVepG","U7g4x0WXJJ","QMFrweE19q","i8ToyICDmI","NTOWxs364D","12rbrZMWeM","bJkvcejdHO","sJAwomhLZr","DpFCA1CohY","tifHPKVTfV","9FxExcQeMw"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","k8jYdgA6NY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2617","layer":4},{"info":"number node, value=3374","layer":4},{"info":"compute binary expreesion, left_input=2617, right_input=3374, 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 = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":2},{"info":"number node, value=3824","layer":4},{"info":"number node, value=1492","layer":4},{"info":"compute binary expreesion, left_input=3824, right_input=1492, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1412","layer":4},{"info":"number node, value=1073","layer":4},{"info":"compute binary expreesion, left_input=1412, right_input=1073, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2606","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-2606, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-4429","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-4429, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1712","layer":4},{"info":"compute unary expreesion, input=1712, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=5962","layer":4},{"info":"compute unary expreesion, input=5962, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-17886","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-17886, 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=1012","layer":4},{"info":"number node, value=2304","layer":4},{"info":"compute binary expreesion, left_input=1012, right_input=2304, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2616","layer":3},{"info":"number node, value=1859","layer":4},{"info":"number node, value=4035","layer":4},{"info":"compute binary expreesion, left_input=1859, right_input=4035, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=2176","layer":3},{"info":"compute binary expreesion, left_input=-2616, right_input=2176, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=4792","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=4792, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-4945","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-4945, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(↥⊺⇮2617∑⇟⊟⊺⇮3374)⨟⋌⩍(⊺⇮3824∲⫓⊺⇮1492⫡⨏⊺⇮1412⩚⊴⇥⊺⇮1073)⨰((⊺⇮1712⩠)≎⊠⪸(⋗⩬⋾⊺⇮5962)⋳⪒(⊺⇮1012⩷∴⊺⇮2304⇼⇔∾(⊺⇮1859⇼⇔∾⊺⇮4035)))=NaN","reverse_text":"NaN=(↥⊺⇮2617∑⇟⊟⊺⇮3374)⨟⋌⩍(⊺⇮3824∲⫓⊺⇮1492⫡⨏⊺⇮1412⩚⊴⇥⊺⇮1073)⨰((⊺⇮1712⩠)≎⊠⪸(⋗⩬⋾⊺⇮5962)⋳⪒(⊺⇮1012⩷∴⊺⇮2304⇼⇔∾(⊺⇮1859⇼⇔∾⊺⇮4035)))","cot":[{"info":"⊺⇮2617∑⇟⊟⊺⇮3374=NaN","layer":3},{"info":"↥NaN=NaN","layer":2},{"info":"⊺⇮3824∲⫓⊺⇮1492=⊺⇮0","layer":3},{"info":"⊺⇮1412⩚⊴⇥⊺⇮1073=⊺⇮-2606","layer":3},{"info":"⊺⇮0⫡⨏⊺⇮-2606=⊺⇮-4429","layer":2},{"info":"NaN⨟⋌⩍⊺⇮-4429=NaN","layer":1},{"info":"⊺⇮1712⩠=⊺⇮0","layer":3},{"info":"⋗⩬⋾⊺⇮5962=⊺⇮-17886","layer":3},{"info":"⊺⇮0≎⊠⪸⊺⇮-17886=⊺⇮67","layer":2},{"info":"⊺⇮1012⩷∴⊺⇮2304=⊺⇮-2616","layer":3},{"info":"⊺⇮1859⇼⇔∾⊺⇮4035=⊺⇮2176","layer":3},{"info":"⊺⇮-2616⇼⇔∾⊺⇮2176=⊺⇮4792","layer":2},{"info":"⊺⇮67⋳⪒⊺⇮4792=⊺⇮-4945","layer":1},{"info":"NaN⨰⊺⇮-4945=NaN","layer":0}]}
{"id":71,"expression_no_base_symbol":"(($1969$⪠⩆⊳)⩨($3380$⪒$7277$)⋷(≤/$1548$⨽$1269$))⩤","expression":"((⊺⇮1969⪠⩆⊳)⩨(⊺⇮3380⪒⊺⇮7277)⋷(≤/⊺⇮1548⨽⊺⇮1269))⩤","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1574,"operation_count":7,"complexity_ratio":224.85714285714286,"tree":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1969,"base":10}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3380,"base":10},"right_expr":{"type":"numeric_atoms","value":7277,"base":10}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1548,"base":10},"right_expr":{"type":"numeric_atoms","value":1269,"base":10}}}}},"used_operators":["Z2TMIBDE3Q","23Mk6UjR3U","2DlMacCsIx","JLbD19bQDL","f6k1SAg4EE","eLAdDNolq6","8HhzD0ZcuI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1969","layer":4},{"info":"compute unary expreesion, input=1969, 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=3380","layer":4},{"info":"number node, value=7277","layer":4},{"info":"compute binary expreesion, left_input=3380, right_input=7277, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-10657","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-10657, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"number node, value=1548","layer":4},{"info":"number node, value=1269","layer":4},{"info":"compute binary expreesion, left_input=1548, right_input=1269, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-7191405","layer":3},{"info":"compute unary expreesion, input=-7191405, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=7191889","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=7191889, 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 = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1969⪠⩆⊳)⩨(⊺⇮3380⪒⊺⇮7277)⋷(≤/⊺⇮1548⨽⊺⇮1269))⩤=NaN","reverse_text":"NaN=((⊺⇮1969⪠⩆⊳)⩨(⊺⇮3380⪒⊺⇮7277)⋷(≤/⊺⇮1548⨽⊺⇮1269))⩤","cot":[{"info":"⊺⇮1969⪠⩆⊳=⊺⇮0","layer":3},{"info":"⊺⇮3380⪒⊺⇮7277=⊺⇮-10657","layer":3},{"info":"⊺⇮0⩨⊺⇮-10657=NaN","layer":2},{"info":"⊺⇮1548⨽⊺⇮1269=⊺⇮-7191405","layer":3},{"info":"≤/⊺⇮-7191405=⊺⇮7191889","layer":2},{"info":"NaN⋷⊺⇮7191889=NaN","layer":1},{"info":"NaN⩤=NaN","layer":0}]}
{"id":72,"expression_no_base_symbol":"($3928$⨓$1930$⋓($4262$+⇶⊼$1128$))∼(⪝⪂⫅($7342$⋷$4628$))⊉≛↸(($1526$⋝⋈⪟$1917$)⨪↰⇹($5752$⋝⋈⪟$7171$)⪐)","expression":"(⊺⇮3928⨓⊺⇮1930⋓(⊺⇮4262+⇶⊼⊺⇮1128))∼(⪝⪂⫅(⊺⇮7342⋷⊺⇮4628))⊉≛↸((⊺⇮1526⋝⋈⪟⊺⇮1917)⨪↰⇹(⊺⇮5752⋝⋈⪟⊺⇮7171)⪐)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3642,"operation_count":11,"complexity_ratio":331.09090909090907,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3928,"base":10},"right_expr":{"type":"numeric_atoms","value":1930,"base":10}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4262,"base":10},"right_expr":{"type":"numeric_atoms","value":1128,"base":10}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":7342,"base":10},"right_expr":{"type":"numeric_atoms","value":4628,"base":10}}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1526,"base":10},"right_expr":{"type":"numeric_atoms","value":1917,"base":10}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":5752,"base":10},"right_expr":{"type":"numeric_atoms","value":7171,"base":10}}}}},"used_operators":["DZ8iAZOCBD","DyGG3AbaNP","T2fj7uvVaJ","3ViojmjbAp","TpPTUOHfaN","XTarYq4gQB","23Mk6UjR3U","eH2TOUuTDT","tmPS8pqC7x","2DDjHMKMc0"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","AHs5Up7iyr","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3928","layer":4},{"info":"number node, value=1930","layer":4},{"info":"compute binary expreesion, left_input=3928, right_input=1930, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1933","layer":3},{"info":"number node, value=4262","layer":4},{"info":"number node, value=1128","layer":4},{"info":"compute binary expreesion, left_input=4262, right_input=1128, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=-1933, 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=7342","layer":4},{"info":"number node, value=4628","layer":4},{"info":"compute binary expreesion, left_input=7342, right_input=4628, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1914","layer":3},{"info":"compute unary expreesion, input=1914, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-281358","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-281358, 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=1526","layer":4},{"info":"number node, value=1917","layer":4},{"info":"compute binary expreesion, left_input=1526, right_input=1917, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1526","layer":3},{"info":"number node, value=5752","layer":4},{"info":"number node, value=7171","layer":4},{"info":"compute binary expreesion, left_input=5752, right_input=7171, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5752","layer":3},{"info":"compute binary expreesion, left_input=1526, right_input=5752, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1526","layer":2},{"info":"compute unary expreesion, input=1526, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=3052","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3052, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮3928⨓⊺⇮1930⋓(⊺⇮4262+⇶⊼⊺⇮1128))∼(⪝⪂⫅(⊺⇮7342⋷⊺⇮4628))⊉≛↸((⊺⇮1526⋝⋈⪟⊺⇮1917)⨪↰⇹(⊺⇮5752⋝⋈⪟⊺⇮7171)⪐)=NaN","reverse_text":"NaN=(⊺⇮3928⨓⊺⇮1930⋓(⊺⇮4262+⇶⊼⊺⇮1128))∼(⪝⪂⫅(⊺⇮7342⋷⊺⇮4628))⊉≛↸((⊺⇮1526⋝⋈⪟⊺⇮1917)⨪↰⇹(⊺⇮5752⋝⋈⪟⊺⇮7171)⪐)","cot":[{"info":"⊺⇮3928⨓⊺⇮1930=⊺⇮-1933","layer":3},{"info":"⊺⇮4262+⇶⊼⊺⇮1128=NaN","layer":3},{"info":"⊺⇮-1933⋓NaN=NaN","layer":2},{"info":"⊺⇮7342⋷⊺⇮4628=⊺⇮1914","layer":3},{"info":"⪝⪂⫅⊺⇮1914=⊺⇮-281358","layer":2},{"info":"NaN∼⊺⇮-281358=NaN","layer":1},{"info":"⊺⇮1526⋝⋈⪟⊺⇮1917=⊺⇮1526","layer":3},{"info":"⊺⇮5752⋝⋈⪟⊺⇮7171=⊺⇮5752","layer":3},{"info":"⊺⇮1526⨪↰⇹⊺⇮5752=⊺⇮1526","layer":2},{"info":"⊺⇮1526⪐=⊺⇮3052","layer":1},{"info":"NaN⊉≛↸⊺⇮3052=NaN","layer":0}]}
{"id":73,"expression_no_base_symbol":"($5168$⩚⊴⇥$1479$⊉≛↸$2441$⪛$2472$)↬($2416$∑⇟⊟$7738$⋳⪒($1100$-$4715$))+(-(⋗⩬⋾$1726$))⨪↰⇹(⨰⫟⨤$3775$⪘⫢$1550$)","expression":"(⊺⇮5168⩚⊴⇥⊺⇮1479⊉≛↸⊺⇮2441⪛⊺⇮2472)↬(⊺⇮2416∑⇟⊟⊺⇮7738⋳⪒(⊺⇮1100-⊺⇮4715))+(-(⋗⩬⋾⊺⇮1726))⨪↰⇹(⨰⫟⨤⊺⇮3775⪘⫢⊺⇮1550)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":34083,"operation_count":13,"complexity_ratio":2621.769230769231,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":5168,"base":10},"right_expr":{"type":"numeric_atoms","value":1479,"base":10}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2441,"base":10},"right_expr":{"type":"numeric_atoms","value":2472,"base":10}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2416,"base":10},"right_expr":{"type":"numeric_atoms","value":7738,"base":10}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1100,"base":10},"right_expr":{"type":"numeric_atoms","value":4715,"base":10}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1726,"base":10}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3775,"base":10},"right_expr":{"type":"numeric_atoms","value":1550,"base":10}}}}},"used_operators":["W4YGzv6Whe","B5M0gjZbta","DZ8iAZOCBD","NTOWxs364D","uFcxV4UQCh","12rbrZMWeM","U7g4x0WXJJ","rysDP5nf3Z","tmPS8pqC7x","t8gj7n24qd","DpFCA1CohY","Tw270M8GLb","oacrs7FA3X"],"dependent_operators":["rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5168","layer":4},{"info":"number node, value=1479","layer":4},{"info":"compute binary expreesion, left_input=5168, right_input=1479, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6768","layer":3},{"info":"number node, value=2441","layer":4},{"info":"number node, value=2472","layer":4},{"info":"compute binary expreesion, left_input=2441, right_input=2472, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2441","layer":3},{"info":"compute binary expreesion, left_input=-6768, right_input=2441, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-2441","layer":2},{"info":"number node, value=2416","layer":4},{"info":"number node, value=7738","layer":4},{"info":"compute binary expreesion, left_input=2416, right_input=7738, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1100","layer":4},{"info":"number node, value=4715","layer":4},{"info":"compute binary expreesion, left_input=1100, right_input=4715, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3615","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3615, 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=-2441, 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=1726","layer":4},{"info":"compute unary expreesion, input=1726, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-5178","layer":3},{"info":"compute unary expreesion, input=-5178, op_id = t8gj7n24qd, unary_op_definition = 'None', output=5178","layer":2},{"info":"number node, value=3775","layer":4},{"info":"number node, value=1550","layer":4},{"info":"compute binary expreesion, left_input=3775, right_input=1550, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=7426","layer":3},{"info":"compute unary expreesion, input=7426, 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=5178, 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=5178","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=5178, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮5168⩚⊴⇥⊺⇮1479⊉≛↸⊺⇮2441⪛⊺⇮2472)↬(⊺⇮2416∑⇟⊟⊺⇮7738⋳⪒(⊺⇮1100-⊺⇮4715))+(-(⋗⩬⋾⊺⇮1726))⨪↰⇹(⨰⫟⨤⊺⇮3775⪘⫢⊺⇮1550)=NaN","reverse_text":"NaN=(⊺⇮5168⩚⊴⇥⊺⇮1479⊉≛↸⊺⇮2441⪛⊺⇮2472)↬(⊺⇮2416∑⇟⊟⊺⇮7738⋳⪒(⊺⇮1100-⊺⇮4715))+(-(⋗⩬⋾⊺⇮1726))⨪↰⇹(⨰⫟⨤⊺⇮3775⪘⫢⊺⇮1550)","cot":[{"info":"⊺⇮5168⩚⊴⇥⊺⇮1479=⊺⇮-6768","layer":3},{"info":"⊺⇮2441⪛⊺⇮2472=⊺⇮2441","layer":3},{"info":"⊺⇮-6768⊉≛↸⊺⇮2441=⊺⇮-2441","layer":2},{"info":"⊺⇮2416∑⇟⊟⊺⇮7738=NaN","layer":3},{"info":"⊺⇮1100-⊺⇮4715=⊺⇮-3615","layer":3},{"info":"NaN⋳⪒⊺⇮-3615=NaN","layer":2},{"info":"⊺⇮-2441↬NaN=NaN","layer":1},{"info":"⋗⩬⋾⊺⇮1726=⊺⇮-5178","layer":3},{"info":"-⊺⇮-5178=⊺⇮5178","layer":2},{"info":"⊺⇮3775⪘⫢⊺⇮1550=⊺⇮7426","layer":3},{"info":"⨰⫟⨤⊺⇮7426=NaN","layer":2},{"info":"⊺⇮5178⨪↰⇹NaN=⊺⇮5178","layer":1},{"info":"NaN+⊺⇮5178=NaN","layer":0}]}
{"id":74,"expression_no_base_symbol":"(($3884$⩷∴$1084$%$3958$≧⫂∧$1428$)↬($3006$≧⫂∧$3481$⩨$5663$⨪↰⇹$3295$))↬(≦∁($1053$⊭∹↮)⪢($5963$≧⫂∧$2545$))","expression":"((⊺⇮3884⩷∴⊺⇮1084%⊺⇮3958≧⫂∧⊺⇮1428)↬(⊺⇮3006≧⫂∧⊺⇮3481⩨⊺⇮5663⨪↰⇹⊺⇮3295))↬(≦∁(⊺⇮1053⊭∹↮)⪢(⊺⇮5963≧⫂∧⊺⇮2545))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":7966,"operation_count":12,"complexity_ratio":663.8333333333334,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3884,"base":10},"right_expr":{"type":"numeric_atoms","value":1084,"base":10}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3958,"base":10},"right_expr":{"type":"numeric_atoms","value":1428,"base":10}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3006,"base":10},"right_expr":{"type":"numeric_atoms","value":3481,"base":10}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":5663,"base":10},"right_expr":{"type":"numeric_atoms","value":3295,"base":10}}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1053,"base":10}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":5963,"base":10},"right_expr":{"type":"numeric_atoms","value":2545,"base":10}}}}},"used_operators":["B5M0gjZbta","k8jYdgA6NY","9FxExcQeMw","Ph9nP6C5qx","2DlMacCsIx","tmPS8pqC7x","9ICcGScMcE","dWAJyo7jo9","xNBdhnnwKq"],"dependent_operators":["rGHVDoGpnC","rysDP5nf3Z","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rJVOvQCfKK","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","k8jYdgA6NY","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=3884","layer":4},{"info":"number node, value=1084","layer":4},{"info":"compute binary expreesion, left_input=3884, right_input=1084, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=5568","layer":3},{"info":"number node, value=3958","layer":4},{"info":"number node, value=1428","layer":4},{"info":"compute binary expreesion, left_input=3958, right_input=1428, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=955","layer":3},{"info":"compute binary expreesion, left_input=5568, right_input=955, op_id = k8jYdgA6NY binary_op_definition= 'None', output=793","layer":2},{"info":"number node, value=3006","layer":4},{"info":"number node, value=3481","layer":4},{"info":"compute binary expreesion, left_input=3006, right_input=3481, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3008","layer":3},{"info":"number node, value=5663","layer":4},{"info":"number node, value=3295","layer":4},{"info":"compute binary expreesion, left_input=5663, right_input=3295, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=5663","layer":3},{"info":"compute binary expreesion, left_input=3008, right_input=5663, 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=793, right_input=-3, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1053","layer":4},{"info":"compute unary expreesion, input=1053, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2106","layer":3},{"info":"number node, value=5963","layer":4},{"info":"number node, value=2545","layer":4},{"info":"compute binary expreesion, left_input=5963, right_input=2545, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2072","layer":3},{"info":"compute binary expreesion, left_input=2106, right_input=2072, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = 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 = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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":10,"result_base":10,"text":"((⊺⇮3884⩷∴⊺⇮1084%⊺⇮3958≧⫂∧⊺⇮1428)↬(⊺⇮3006≧⫂∧⊺⇮3481⩨⊺⇮5663⨪↰⇹⊺⇮3295))↬(≦∁(⊺⇮1053⊭∹↮)⪢(⊺⇮5963≧⫂∧⊺⇮2545))=NaN","reverse_text":"NaN=((⊺⇮3884⩷∴⊺⇮1084%⊺⇮3958≧⫂∧⊺⇮1428)↬(⊺⇮3006≧⫂∧⊺⇮3481⩨⊺⇮5663⨪↰⇹⊺⇮3295))↬(≦∁(⊺⇮1053⊭∹↮)⪢(⊺⇮5963≧⫂∧⊺⇮2545))","cot":[{"info":"⊺⇮3884⩷∴⊺⇮1084=⊺⇮5568","layer":3},{"info":"⊺⇮3958≧⫂∧⊺⇮1428=⊺⇮955","layer":3},{"info":"⊺⇮5568%⊺⇮955=⊺⇮793","layer":2},{"info":"⊺⇮3006≧⫂∧⊺⇮3481=⊺⇮3008","layer":3},{"info":"⊺⇮5663⨪↰⇹⊺⇮3295=⊺⇮5663","layer":3},{"info":"⊺⇮3008⩨⊺⇮5663=⊺⇮-3","layer":2},{"info":"⊺⇮793↬⊺⇮-3=NaN","layer":1},{"info":"⊺⇮1053⊭∹↮=⊺⇮2106","layer":3},{"info":"⊺⇮5963≧⫂∧⊺⇮2545=⊺⇮2072","layer":3},{"info":"⊺⇮2106⪢⊺⇮2072=NaN","layer":2},{"info":"≦∁NaN=NaN","layer":1},{"info":"NaN↬NaN=NaN","layer":0}]}
{"id":75,"expression_no_base_symbol":"(⨵≀≌(⊄⩳↩$2010$⊴$2037$))⊉≛↸((⪝⪂⫅(⨞⊢$2596$))⨁⊸⫻)","expression":"(⨵≀≌(⊄⩳↩⊺⇮2010⊴⊺⇮2037))⊉≛↸((⪝⪂⫅(⨞⊢⊺⇮2596))⨁⊸⫻)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2204,"operation_count":7,"complexity_ratio":314.85714285714283,"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":2010,"base":10},"right_expr":{"type":"numeric_atoms","value":2037,"base":10}}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2596,"base":10}}}}},"used_operators":["DZ8iAZOCBD","srAu1WTS94","8w2t5hMYqp","Nsiff2A1zJ","glklzrTFfD","XTarYq4gQB","xUOZtlo3hN"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2010","layer":4},{"info":"number node, value=2037","layer":4},{"info":"compute binary expreesion, left_input=2010, right_input=2037, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', 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 = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=nan","layer":1},{"info":"number node, value=2596","layer":4},{"info":"compute unary expreesion, input=2596, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2770","layer":3},{"info":"compute unary expreesion, input=-2770, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=407190","layer":2},{"info":"compute unary expreesion, input=407190, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=407190","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=407190, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⨵≀≌(⊄⩳↩⊺⇮2010⊴⊺⇮2037))⊉≛↸((⪝⪂⫅(⨞⊢⊺⇮2596))⨁⊸⫻)=NaN","reverse_text":"NaN=(⨵≀≌(⊄⩳↩⊺⇮2010⊴⊺⇮2037))⊉≛↸((⪝⪂⫅(⨞⊢⊺⇮2596))⨁⊸⫻)","cot":[{"info":"⊺⇮2010⊴⊺⇮2037=NaN","layer":3},{"info":"⊄⩳↩NaN=NaN","layer":2},{"info":"⨵≀≌NaN=NaN","layer":1},{"info":"⨞⊢⊺⇮2596=⊺⇮-2770","layer":3},{"info":"⪝⪂⫅⊺⇮-2770=⊺⇮407190","layer":2},{"info":"⊺⇮407190⨁⊸⫻=⊺⇮407190","layer":1},{"info":"NaN⊉≛↸⊺⇮407190=NaN","layer":0}]}
{"id":76,"expression_no_base_symbol":"(⫓⪴(($1771$↪⪝)*(⊥$2588$)))*(↔((⨰⫟⨤$2918$)-($1143$⪐)))","expression":"(⫓⪴((⊺⇮1771↪⪝)*(⊥⊺⇮2588)))*(↔((⨰⫟⨤⊺⇮2918)-(⊺⇮1143⪐)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":11561,"operation_count":9,"complexity_ratio":1284.5555555555557,"tree":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1771,"base":10}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":2588,"base":10}}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2918,"base":10}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1143,"base":10}}}}},"used_operators":["9HNa5Wba9A","eLxqMNBOBk","l07mrZUIn9","Q3PJZHRvZv","ruOEQAzv1W","rysDP5nf3Z","Tw270M8GLb","eH2TOUuTDT"],"dependent_operators":["W4YGzv6Whe","9HNa5Wba9A","9HNa5Wba9A","2DDjHMKMc0","fu6greOZ01","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1771","layer":4},{"info":"compute unary expreesion, input=1771, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=108353322","layer":3},{"info":"number node, value=2588","layer":4},{"info":"compute unary expreesion, input=2588, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=108353322, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', 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=2918","layer":4},{"info":"compute unary expreesion, input=2918, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=1143","layer":4},{"info":"compute unary expreesion, input=1143, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2286","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2286, 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 binary expreesion, left_input=nan, right_input=-134, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⫓⪴((⊺⇮1771↪⪝)*(⊥⊺⇮2588)))*(↔((⨰⫟⨤⊺⇮2918)-(⊺⇮1143⪐)))=NaN","reverse_text":"NaN=(⫓⪴((⊺⇮1771↪⪝)*(⊥⊺⇮2588)))*(↔((⨰⫟⨤⊺⇮2918)-(⊺⇮1143⪐)))","cot":[{"info":"⊺⇮1771↪⪝=⊺⇮108353322","layer":3},{"info":"⊥⊺⇮2588=NaN","layer":3},{"info":"⊺⇮108353322*NaN=NaN","layer":2},{"info":"⫓⪴NaN=NaN","layer":1},{"info":"⨰⫟⨤⊺⇮2918=NaN","layer":3},{"info":"⊺⇮1143⪐=⊺⇮2286","layer":3},{"info":"NaN-⊺⇮2286=NaN","layer":2},{"info":"↔NaN=⊺⇮-134","layer":1},{"info":"NaN*⊺⇮-134=NaN","layer":0}]}
{"id":77,"expression_no_base_symbol":"⫓⪴(($1022$⨵⪆$1309$)⇷(⊙↵-$3512$)+($3329$⨵⪆$1762$)⫥∨⫟$3458$≹⇙⪍$1215$)","expression":"⫓⪴((⊺⇮1022⨵⪆⊺⇮1309)⇷(⊙↵-⊺⇮3512)+(⊺⇮3329⨵⪆⊺⇮1762)⫥∨⫟⊺⇮3458≹⇙⪍⊺⇮1215)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":5963,"operation_count":8,"complexity_ratio":745.375,"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":1022,"base":10},"right_expr":{"type":"numeric_atoms","value":1309,"base":10}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":3512,"base":10}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3329,"base":10},"right_expr":{"type":"numeric_atoms","value":1762,"base":10}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3458,"base":10},"right_expr":{"type":"numeric_atoms","value":1215,"base":10}}}}},"used_operators":["eLxqMNBOBk","W4YGzv6Whe","mp7IySMOzn","2DQ55sFlQl","oWn0xqSxBt","KYD54nUTWz","AHs5Up7iyr"],"dependent_operators":["9HNa5Wba9A","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=1022","layer":4},{"info":"number node, value=1309","layer":4},{"info":"compute binary expreesion, left_input=1022, right_input=1309, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=3512","layer":4},{"info":"compute unary expreesion, input=3512, 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 = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=-2","layer":2},{"info":"number node, value=3329","layer":4},{"info":"number node, value=1762","layer":4},{"info":"compute binary expreesion, left_input=3329, right_input=1762, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=3458","layer":4},{"info":"number node, value=1215","layer":4},{"info":"compute binary expreesion, left_input=3458, right_input=1215, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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 = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽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 unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⫓⪴((⊺⇮1022⨵⪆⊺⇮1309)⇷(⊙↵-⊺⇮3512)+(⊺⇮3329⨵⪆⊺⇮1762)⫥∨⫟⊺⇮3458≹⇙⪍⊺⇮1215)=NaN","reverse_text":"NaN=⫓⪴((⊺⇮1022⨵⪆⊺⇮1309)⇷(⊙↵-⊺⇮3512)+(⊺⇮3329⨵⪆⊺⇮1762)⫥∨⫟⊺⇮3458≹⇙⪍⊺⇮1215)","cot":[{"info":"⊺⇮1022⨵⪆⊺⇮1309=⊺⇮160","layer":3},{"info":"⊙↵-⊺⇮3512=⊺⇮-1","layer":3},{"info":"⊺⇮160⇷⊺⇮-1=⊺⇮-2","layer":2},{"info":"⊺⇮3329⨵⪆⊺⇮1762=⊺⇮160","layer":3},{"info":"⊺⇮3458≹⇙⪍⊺⇮1215=NaN","layer":3},{"info":"⊺⇮160⫥∨⫟NaN=NaN","layer":2},{"info":"⊺⇮-2+NaN=NaN","layer":1},{"info":"⫓⪴NaN=NaN","layer":0}]}
{"id":78,"expression_no_base_symbol":"(($3630$⇼⇔∾$1876$)⇷(⨵≀≌$4643$))⪛($2551$∲⫓$3430$)⊴($4554$⋳⪒$2147$)⨵⪆($2404$≹⇙⪍$3982$↬($1065$⨵⪆$1239$))∼((⊙↵-$3654$)+⇶⊼($6602$⋷$6598$))","expression":"((⊺⇮3630⇼⇔∾⊺⇮1876)⇷(⨵≀≌⊺⇮4643))⪛(⊺⇮2551∲⫓⊺⇮3430)⊴(⊺⇮4554⋳⪒⊺⇮2147)⨵⪆(⊺⇮2404≹⇙⪍⊺⇮3982↬(⊺⇮1065⨵⪆⊺⇮1239))∼((⊙↵-⊺⇮3654)+⇶⊼(⊺⇮6602⋷⊺⇮6598))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":34973,"operation_count":15,"complexity_ratio":2331.5333333333333,"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":3630,"base":10},"right_expr":{"type":"numeric_atoms","value":1876,"base":10}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":4643,"base":10}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2551,"base":10},"right_expr":{"type":"numeric_atoms","value":3430,"base":10}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":4554,"base":10},"right_expr":{"type":"numeric_atoms","value":2147,"base":10}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2404,"base":10},"right_expr":{"type":"numeric_atoms","value":3982,"base":10}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1065,"base":10},"right_expr":{"type":"numeric_atoms","value":1239,"base":10}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":3654,"base":10}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":6602,"base":10},"right_expr":{"type":"numeric_atoms","value":6598,"base":10}}}}},"used_operators":["2DQ55sFlQl","uFcxV4UQCh","mp7IySMOzn","tifHPKVTfV","srAu1WTS94","Nsiff2A1zJ","i8ToyICDmI","12rbrZMWeM","DyGG3AbaNP","B5M0gjZbta","AHs5Up7iyr","TpPTUOHfaN","oWn0xqSxBt","23Mk6UjR3U"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rGHVDoGpnC","dWAJyo7jo9","AHs5Up7iyr","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮160","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3630","layer":4},{"info":"number node, value=1876","layer":4},{"info":"compute binary expreesion, left_input=3630, right_input=1876, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1754","layer":3},{"info":"number node, value=4643","layer":4},{"info":"compute unary expreesion, input=4643, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-13929","layer":3},{"info":"compute binary expreesion, left_input=-1754, right_input=-13929, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"number node, value=2551","layer":4},{"info":"number node, value=3430","layer":4},{"info":"compute binary expreesion, left_input=2551, right_input=3430, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=4554","layer":4},{"info":"number node, value=2147","layer":4},{"info":"compute binary expreesion, left_input=4554, right_input=2147, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=6674","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=6674, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"number node, value=2404","layer":4},{"info":"number node, value=3982","layer":4},{"info":"compute binary expreesion, left_input=2404, right_input=3982, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=1065","layer":4},{"info":"number node, value=1239","layer":4},{"info":"compute binary expreesion, left_input=1065, right_input=1239, 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":"number node, value=3654","layer":4},{"info":"compute unary expreesion, input=3654, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=6602","layer":4},{"info":"number node, value=6598","layer":4},{"info":"compute binary expreesion, left_input=6602, right_input=6598, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=6594","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=6594, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = 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 = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮3630⇼⇔∾⊺⇮1876)⇷(⨵≀≌⊺⇮4643))⪛(⊺⇮2551∲⫓⊺⇮3430)⊴(⊺⇮4554⋳⪒⊺⇮2147)⨵⪆(⊺⇮2404≹⇙⪍⊺⇮3982↬(⊺⇮1065⨵⪆⊺⇮1239))∼((⊙↵-⊺⇮3654)+⇶⊼(⊺⇮6602⋷⊺⇮6598))=⊺⇮160","reverse_text":"⊺⇮160=((⊺⇮3630⇼⇔∾⊺⇮1876)⇷(⨵≀≌⊺⇮4643))⪛(⊺⇮2551∲⫓⊺⇮3430)⊴(⊺⇮4554⋳⪒⊺⇮2147)⨵⪆(⊺⇮2404≹⇙⪍⊺⇮3982↬(⊺⇮1065⨵⪆⊺⇮1239))∼((⊙↵-⊺⇮3654)+⇶⊼(⊺⇮6602⋷⊺⇮6598))","cot":[{"info":"⊺⇮3630⇼⇔∾⊺⇮1876=⊺⇮-1754","layer":3},{"info":"⨵≀≌⊺⇮4643=⊺⇮-13929","layer":3},{"info":"⊺⇮-1754⇷⊺⇮-13929=NaN","layer":2},{"info":"⊺⇮2551∲⫓⊺⇮3430=⊺⇮0","layer":3},{"info":"⊺⇮4554⋳⪒⊺⇮2147=⊺⇮6674","layer":3},{"info":"⊺⇮0⊴⊺⇮6674=NaN","layer":2},{"info":"NaN⪛NaN=NaN","layer":1},{"info":"⊺⇮2404≹⇙⪍⊺⇮3982=NaN","layer":3},{"info":"⊺⇮1065⨵⪆⊺⇮1239=⊺⇮160","layer":3},{"info":"NaN↬⊺⇮160=NaN","layer":2},{"info":"⊙↵-⊺⇮3654=⊺⇮-1","layer":3},{"info":"⊺⇮6602⋷⊺⇮6598=⊺⇮6594","layer":3},{"info":"⊺⇮-1+⇶⊼⊺⇮6594=NaN","layer":2},{"info":"NaN∼NaN=NaN","layer":1},{"info":"NaN⨵⪆NaN=⊺⇮160","layer":0}]}
{"id":79,"expression_no_base_symbol":"(⊄⩳↩(⫓⪴(≉$6960$)))⨸⪁(((≤/$5119$)≣⋋)⊠≄⫣)","expression":"(⊄⩳↩(⫓⪴(≉⊺⇮6960)))⨸⪁(((≤/⊺⇮5119)≣⋋)⊠≄⫣)","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":8017,"operation_count":7,"complexity_ratio":1145.2857142857142,"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":6960,"base":10}}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":5119,"base":10}}}}},"used_operators":["g55IO6H4Gj","8w2t5hMYqp","eLxqMNBOBk","e1ybzncUwg","DIvbN7qnHd","Tcnh7f0tEr","eLAdDNolq6"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rysDP5nf3Z"],"result":"⊺⇮-336690486","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6960","layer":4},{"info":"compute unary expreesion, input=6960, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=7491","layer":3},{"info":"compute unary expreesion, input=7491, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=56115081","layer":2},{"info":"compute unary expreesion, input=56115081, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-168345243","layer":1},{"info":"number node, value=5119","layer":4},{"info":"compute unary expreesion, input=5119, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-4635","layer":3},{"info":"compute unary expreesion, input=-4635, 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 = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-168345243, right_input=0, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-336690486","layer":0}],"base":10,"result_base":10,"text":"(⊄⩳↩(⫓⪴(≉⊺⇮6960)))⨸⪁(((≤/⊺⇮5119)≣⋋)⊠≄⫣)=⊺⇮-336690486","reverse_text":"⊺⇮-336690486=(⊄⩳↩(⫓⪴(≉⊺⇮6960)))⨸⪁(((≤/⊺⇮5119)≣⋋)⊠≄⫣)","cot":[{"info":"≉⊺⇮6960=⊺⇮7491","layer":3},{"info":"⫓⪴⊺⇮7491=⊺⇮56115081","layer":2},{"info":"⊄⩳↩⊺⇮56115081=⊺⇮-168345243","layer":1},{"info":"≤/⊺⇮5119=⊺⇮-4635","layer":3},{"info":"⊺⇮-4635≣⋋=⊺⇮0","layer":2},{"info":"⊺⇮0⊠≄⫣=⊺⇮0","layer":1},{"info":"⊺⇮-168345243⨸⪁⊺⇮0=⊺⇮-336690486","layer":0}]}
{"id":80,"expression_no_base_symbol":"(↔(($2882$⋥≓≎$3083$)⊭∹↮))⊭↱($2224$⨪↰⇹$1865$≫≃)↙($2375$≧⫂∧$4653$⪨≂($4950$⪠⩆⊳))","expression":"(↔((⊺⇮2882⋥≓≎⊺⇮3083)⊭∹↮))⊭↱(⊺⇮2224⨪↰⇹⊺⇮1865≫≃)↙(⊺⇮2375≧⫂∧⊺⇮4653⪨≂(⊺⇮4950⪠⩆⊳))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":10731,"operation_count":10,"complexity_ratio":1073.1,"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":2882,"base":10},"right_expr":{"type":"numeric_atoms","value":3083,"base":10}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2224,"base":10},"right_expr":{"type":"numeric_atoms","value":1865,"base":10}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2375,"base":10},"right_expr":{"type":"numeric_atoms","value":4653,"base":10}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":4950,"base":10}}}}},"used_operators":["COABgblf1C","ruOEQAzv1W","xNBdhnnwKq","Qy55tPpLXF","yyfyN0ffXY","X99M06cbEe","tmPS8pqC7x","sdazOOVcIp","Ph9nP6C5qx","JLbD19bQDL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮-38045","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2882","layer":4},{"info":"number node, value=3083","layer":4},{"info":"compute binary expreesion, left_input=2882, right_input=3083, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3317","layer":3},{"info":"compute unary expreesion, input=3317, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=6634","layer":2},{"info":"compute unary expreesion, input=6634, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-6361","layer":1},{"info":"number node, value=2224","layer":4},{"info":"number node, value=1865","layer":4},{"info":"compute binary expreesion, left_input=2224, right_input=1865, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2224","layer":3},{"info":"compute unary expreesion, input=2224, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=5849","layer":2},{"info":"number node, value=2375","layer":4},{"info":"number node, value=4653","layer":4},{"info":"compute binary expreesion, left_input=2375, right_input=4653, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4180","layer":3},{"info":"number node, value=4950","layer":4},{"info":"compute unary expreesion, input=4950, 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=4180, 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=8462","layer":2},{"info":"compute binary expreesion, left_input=5849, right_input=8462, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-25386","layer":1},{"info":"compute binary expreesion, left_input=-6361, right_input=-25386, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-38045","layer":0}],"base":10,"result_base":10,"text":"(↔((⊺⇮2882⋥≓≎⊺⇮3083)⊭∹↮))⊭↱(⊺⇮2224⨪↰⇹⊺⇮1865≫≃)↙(⊺⇮2375≧⫂∧⊺⇮4653⪨≂(⊺⇮4950⪠⩆⊳))=⊺⇮-38045","reverse_text":"⊺⇮-38045=(↔((⊺⇮2882⋥≓≎⊺⇮3083)⊭∹↮))⊭↱(⊺⇮2224⨪↰⇹⊺⇮1865≫≃)↙(⊺⇮2375≧⫂∧⊺⇮4653⪨≂(⊺⇮4950⪠⩆⊳))","cot":[{"info":"⊺⇮2882⋥≓≎⊺⇮3083=⊺⇮3317","layer":3},{"info":"⊺⇮3317⊭∹↮=⊺⇮6634","layer":2},{"info":"↔⊺⇮6634=⊺⇮-6361","layer":1},{"info":"⊺⇮2224⨪↰⇹⊺⇮1865=⊺⇮2224","layer":3},{"info":"⊺⇮2224≫≃=⊺⇮5849","layer":2},{"info":"⊺⇮2375≧⫂∧⊺⇮4653=⊺⇮4180","layer":3},{"info":"⊺⇮4950⪠⩆⊳=⊺⇮0","layer":3},{"info":"⊺⇮4180⪨≂⊺⇮0=⊺⇮8462","layer":2},{"info":"⊺⇮5849↙⊺⇮8462=⊺⇮-25386","layer":1},{"info":"⊺⇮-6361⊭↱⊺⇮-25386=⊺⇮-38045","layer":0}]}
{"id":81,"expression_no_base_symbol":"(($3023$⨵⪆$1396$)⪮%⊝($2515$↺$4744$)⪨≂((↥$4513$)⨵⪆$2968$≭$2684$))⫥∨⫟(($3259$∸)⨎$7294$⋝⋈⪟$3583$-$1341$⨸⪁$1276$⊉≛↸(⨑⩽⪐$1632$))","expression":"((⊺⇮3023⨵⪆⊺⇮1396)⪮%⊝(⊺⇮2515↺⊺⇮4744)⪨≂((↥⊺⇮4513)⨵⪆⊺⇮2968≭⊺⇮2684))⫥∨⫟((⊺⇮3259∸)⨎⊺⇮7294⋝⋈⪟⊺⇮3583-⊺⇮1341⨸⪁⊺⇮1276⊉≛↸(⨑⩽⪐⊺⇮1632))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":452,"operation_count":15,"complexity_ratio":30.133333333333333,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3023,"base":10},"right_expr":{"type":"numeric_atoms","value":1396,"base":10}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2515,"base":10},"right_expr":{"type":"numeric_atoms","value":4744,"base":10}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":4513,"base":10}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2968,"base":10},"right_expr":{"type":"numeric_atoms","value":2684,"base":10}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":3259,"base":10}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":7294,"base":10},"right_expr":{"type":"numeric_atoms","value":3583,"base":10}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1341,"base":10},"right_expr":{"type":"numeric_atoms","value":1276,"base":10}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1632,"base":10}}}}},"used_operators":["KYD54nUTWz","sdazOOVcIp","IWmyXbctLI","2DQ55sFlQl","7j4O788W3g","A8NUZmVepG","rxpJgHHUmx","rysDP5nf3Z","rJVOvQCfKK","o20kRiQErp","2DDjHMKMc0","DZ8iAZOCBD","g55IO6H4Gj","AF7qkfDlqP"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3023","layer":4},{"info":"number node, value=1396","layer":4},{"info":"compute binary expreesion, left_input=3023, right_input=1396, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=2515","layer":4},{"info":"number node, value=4744","layer":4},{"info":"compute binary expreesion, left_input=2515, right_input=4744, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4744","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=4744, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=636","layer":2},{"info":"number node, value=4513","layer":4},{"info":"compute unary expreesion, input=4513, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=25","layer":3},{"info":"number node, value=2968","layer":4},{"info":"number node, value=2684","layer":4},{"info":"compute binary expreesion, left_input=2968, right_input=2684, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=25, 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=636, 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=1054","layer":1},{"info":"number node, value=3259","layer":4},{"info":"compute unary expreesion, input=3259, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=7294","layer":4},{"info":"number node, value=3583","layer":4},{"info":"compute binary expreesion, left_input=7294, right_input=3583, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=7294","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=7294, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=7294","layer":2},{"info":"number node, value=1341","layer":4},{"info":"number node, value=1276","layer":4},{"info":"compute binary expreesion, left_input=1341, right_input=1276, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=5234","layer":3},{"info":"number node, value=1632","layer":4},{"info":"compute unary expreesion, input=1632, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1359","layer":3},{"info":"compute binary expreesion, left_input=5234, right_input=-1359, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=10468","layer":2},{"info":"compute binary expreesion, left_input=7294, right_input=10468, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3174","layer":1},{"info":"compute binary expreesion, left_input=1054, right_input=-3174, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮3023⨵⪆⊺⇮1396)⪮%⊝(⊺⇮2515↺⊺⇮4744)⪨≂((↥⊺⇮4513)⨵⪆⊺⇮2968≭⊺⇮2684))⫥∨⫟((⊺⇮3259∸)⨎⊺⇮7294⋝⋈⪟⊺⇮3583-⊺⇮1341⨸⪁⊺⇮1276⊉≛↸(⨑⩽⪐⊺⇮1632))=NaN","reverse_text":"NaN=((⊺⇮3023⨵⪆⊺⇮1396)⪮%⊝(⊺⇮2515↺⊺⇮4744)⪨≂((↥⊺⇮4513)⨵⪆⊺⇮2968≭⊺⇮2684))⫥∨⫟((⊺⇮3259∸)⨎⊺⇮7294⋝⋈⪟⊺⇮3583-⊺⇮1341⨸⪁⊺⇮1276⊉≛↸(⨑⩽⪐⊺⇮1632))","cot":[{"info":"⊺⇮3023⨵⪆⊺⇮1396=⊺⇮160","layer":3},{"info":"⊺⇮2515↺⊺⇮4744=⊺⇮4744","layer":3},{"info":"⊺⇮160⪮%⊝⊺⇮4744=⊺⇮636","layer":2},{"info":"↥⊺⇮4513=⊺⇮25","layer":3},{"info":"⊺⇮2968≭⊺⇮2684=NaN","layer":3},{"info":"⊺⇮25⨵⪆NaN=⊺⇮160","layer":2},{"info":"⊺⇮636⪨≂⊺⇮160=⊺⇮1054","layer":1},{"info":"⊺⇮3259∸=⊺⇮177","layer":3},{"info":"⊺⇮7294⋝⋈⪟⊺⇮3583=⊺⇮7294","layer":3},{"info":"⊺⇮177⨎⊺⇮7294=⊺⇮7294","layer":2},{"info":"⊺⇮1341⨸⪁⊺⇮1276=⊺⇮5234","layer":3},{"info":"⨑⩽⪐⊺⇮1632=⊺⇮-1359","layer":3},{"info":"⊺⇮5234⊉≛↸⊺⇮-1359=⊺⇮10468","layer":2},{"info":"⊺⇮7294-⊺⇮10468=⊺⇮-3174","layer":1},{"info":"⊺⇮1054⫥∨⫟⊺⇮-3174=NaN","layer":0}]}
{"id":82,"expression_no_base_symbol":"($3015$⩷∴$1557$⪒$1481$∀⇚≩$2979$)⇷((⨵≀≌$1009$)∲⫓$2167$∀⇚≩$1900$)∲⫓($4058$-$3105$)⪢($1227$⨰$2190$)+⇶⊼($4307$⇼⇔∾$1232$/$2627$⪮%⊝$6188$)","expression":"(⊺⇮3015⩷∴⊺⇮1557⪒⊺⇮1481∀⇚≩⊺⇮2979)⇷((⨵≀≌⊺⇮1009)∲⫓⊺⇮2167∀⇚≩⊺⇮1900)∲⫓(⊺⇮4058-⊺⇮3105)⪢(⊺⇮1227⨰⊺⇮2190)+⇶⊼(⊺⇮4307⇼⇔∾⊺⇮1232/⊺⇮2627⪮%⊝⊺⇮6188)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":26532,"operation_count":15,"complexity_ratio":1768.8,"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":3015,"base":10},"right_expr":{"type":"numeric_atoms","value":1557,"base":10}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1481,"base":10},"right_expr":{"type":"numeric_atoms","value":2979,"base":10}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1009,"base":10}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2167,"base":10},"right_expr":{"type":"numeric_atoms","value":1900,"base":10}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4058,"base":10},"right_expr":{"type":"numeric_atoms","value":3105,"base":10}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1227,"base":10},"right_expr":{"type":"numeric_atoms","value":2190,"base":10}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":4307,"base":10},"right_expr":{"type":"numeric_atoms","value":1232,"base":10}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2627,"base":10},"right_expr":{"type":"numeric_atoms","value":6188,"base":10}}}}},"used_operators":["i8ToyICDmI","mp7IySMOzn","f6k1SAg4EE","9FxExcQeMw","LRNGc0VcxI","srAu1WTS94","TpPTUOHfaN","dWAJyo7jo9","rysDP5nf3Z","eewbuw0ToL","XhwjNDsVaA","tifHPKVTfV","IWmyXbctLI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","X99M06cbEe","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","AHs5Up7iyr","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3015","layer":4},{"info":"number node, value=1557","layer":4},{"info":"compute binary expreesion, left_input=3015, right_input=1557, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2884","layer":3},{"info":"number node, value=1481","layer":4},{"info":"number node, value=2979","layer":4},{"info":"compute binary expreesion, left_input=1481, right_input=2979, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=2884, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=1009","layer":4},{"info":"compute unary expreesion, input=1009, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3027","layer":3},{"info":"number node, value=2167","layer":4},{"info":"number node, value=1900","layer":4},{"info":"compute binary expreesion, left_input=2167, right_input=1900, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=-3027, 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 = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"number node, value=4058","layer":4},{"info":"number node, value=3105","layer":4},{"info":"compute binary expreesion, left_input=4058, right_input=3105, op_id = rysDP5nf3Z binary_op_definition= 'None', output=953","layer":3},{"info":"number node, value=1227","layer":4},{"info":"number node, value=2190","layer":4},{"info":"compute binary expreesion, left_input=1227, right_input=2190, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-953","layer":3},{"info":"compute binary expreesion, left_input=953, right_input=-953, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=4307","layer":4},{"info":"number node, value=1232","layer":4},{"info":"compute binary expreesion, left_input=4307, right_input=1232, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-3075","layer":3},{"info":"number node, value=2627","layer":4},{"info":"number node, value=6188","layer":4},{"info":"compute binary expreesion, left_input=2627, right_input=6188, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5570","layer":3},{"info":"compute binary expreesion, left_input=-3075, right_input=5570, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":2},{"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":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":10,"result_base":10,"text":"(⊺⇮3015⩷∴⊺⇮1557⪒⊺⇮1481∀⇚≩⊺⇮2979)⇷((⨵≀≌⊺⇮1009)∲⫓⊺⇮2167∀⇚≩⊺⇮1900)∲⫓(⊺⇮4058-⊺⇮3105)⪢(⊺⇮1227⨰⊺⇮2190)+⇶⊼(⊺⇮4307⇼⇔∾⊺⇮1232/⊺⇮2627⪮%⊝⊺⇮6188)=NaN","reverse_text":"NaN=(⊺⇮3015⩷∴⊺⇮1557⪒⊺⇮1481∀⇚≩⊺⇮2979)⇷((⨵≀≌⊺⇮1009)∲⫓⊺⇮2167∀⇚≩⊺⇮1900)∲⫓(⊺⇮4058-⊺⇮3105)⪢(⊺⇮1227⨰⊺⇮2190)+⇶⊼(⊺⇮4307⇼⇔∾⊺⇮1232/⊺⇮2627⪮%⊝⊺⇮6188)","cot":[{"info":"⊺⇮3015⩷∴⊺⇮1557=⊺⇮2884","layer":3},{"info":"⊺⇮1481∀⇚≩⊺⇮2979=NaN","layer":3},{"info":"⊺⇮2884⪒NaN=NaN","layer":2},{"info":"⨵≀≌⊺⇮1009=⊺⇮-3027","layer":3},{"info":"⊺⇮2167∀⇚≩⊺⇮1900=NaN","layer":3},{"info":"⊺⇮-3027∲⫓NaN=NaN","layer":2},{"info":"NaN⇷NaN=NaN","layer":1},{"info":"⊺⇮4058-⊺⇮3105=⊺⇮953","layer":3},{"info":"⊺⇮1227⨰⊺⇮2190=⊺⇮-953","layer":3},{"info":"⊺⇮953⪢⊺⇮-953=NaN","layer":2},{"info":"⊺⇮4307⇼⇔∾⊺⇮1232=⊺⇮-3075","layer":3},{"info":"⊺⇮2627⪮%⊝⊺⇮6188=⊺⇮5570","layer":3},{"info":"⊺⇮-3075/⊺⇮5570=⊺⇮-1","layer":2},{"info":"NaN+⇶⊼⊺⇮-1=NaN","layer":1},{"info":"NaN∲⫓NaN=NaN","layer":0}]}
{"id":83,"expression_no_base_symbol":"(($3228$↛⩡⫤)⪄$3314$≭$4688$+($6793$⩷∴$2606$⪐))⩷∴((⨰⫟⨤$3359$)+⇶⊼$8355$⋝⋈⪟$1496$⊦⊿)","expression":"((⊺⇮3228↛⩡⫤)⪄⊺⇮3314≭⊺⇮4688+(⊺⇮6793⩷∴⊺⇮2606⪐))⩷∴((⨰⫟⨤⊺⇮3359)+⇶⊼⊺⇮8355⋝⋈⪟⊺⇮1496⊦⊿)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":22532,"operation_count":11,"complexity_ratio":2048.3636363636365,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":3228,"base":10}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3314,"base":10},"right_expr":{"type":"numeric_atoms","value":4688,"base":10}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":6793,"base":10},"right_expr":{"type":"numeric_atoms","value":2606,"base":10}}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":3359,"base":10}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":8355,"base":10},"right_expr":{"type":"numeric_atoms","value":1496,"base":10}}}}},"used_operators":["9FxExcQeMw","W4YGzv6Whe","SUmda5xLS4","FU0Cs4j7VP","rxpJgHHUmx","eH2TOUuTDT","14qkJME0vr","TpPTUOHfaN","Tw270M8GLb","2DDjHMKMc0"],"dependent_operators":["rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3228","layer":4},{"info":"compute unary expreesion, input=3228, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-483517","layer":3},{"info":"number node, value=3314","layer":4},{"info":"number node, value=4688","layer":4},{"info":"compute binary expreesion, left_input=3314, right_input=4688, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=-483517, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"number node, value=6793","layer":4},{"info":"number node, value=2606","layer":4},{"info":"compute binary expreesion, left_input=6793, right_input=2606, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=8342","layer":3},{"info":"compute unary expreesion, input=8342, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=16684","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=16684, op_id = W4YGzv6Whe binary_op_definition= 'None', output=20663","layer":1},{"info":"number node, value=3359","layer":4},{"info":"compute unary expreesion, input=3359, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=8355","layer":4},{"info":"number node, value=1496","layer":4},{"info":"compute binary expreesion, left_input=8355, right_input=1496, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=8355","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8355, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=20663, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮3228↛⩡⫤)⪄⊺⇮3314≭⊺⇮4688+(⊺⇮6793⩷∴⊺⇮2606⪐))⩷∴((⨰⫟⨤⊺⇮3359)+⇶⊼⊺⇮8355⋝⋈⪟⊺⇮1496⊦⊿)=NaN","reverse_text":"NaN=((⊺⇮3228↛⩡⫤)⪄⊺⇮3314≭⊺⇮4688+(⊺⇮6793⩷∴⊺⇮2606⪐))⩷∴((⨰⫟⨤⊺⇮3359)+⇶⊼⊺⇮8355⋝⋈⪟⊺⇮1496⊦⊿)","cot":[{"info":"⊺⇮3228↛⩡⫤=⊺⇮-483517","layer":3},{"info":"⊺⇮3314≭⊺⇮4688=NaN","layer":3},{"info":"⊺⇮-483517⪄NaN=⊺⇮3979","layer":2},{"info":"⊺⇮6793⩷∴⊺⇮2606=⊺⇮8342","layer":3},{"info":"⊺⇮8342⪐=⊺⇮16684","layer":2},{"info":"⊺⇮3979+⊺⇮16684=⊺⇮20663","layer":1},{"info":"⨰⫟⨤⊺⇮3359=NaN","layer":3},{"info":"⊺⇮8355⋝⋈⪟⊺⇮1496=⊺⇮8355","layer":3},{"info":"NaN+⇶⊼⊺⇮8355=NaN","layer":2},{"info":"NaN⊦⊿=NaN","layer":1},{"info":"⊺⇮20663⩷∴NaN=NaN","layer":0}]}
{"id":84,"expression_no_base_symbol":"($4071$⇷$1030$≧⫂∧($2772$+$1517$)⋳⪒(($3439$⪒$1612$)*($1124$≋⫹)))⊪","expression":"(⊺⇮4071⇷⊺⇮1030≧⫂∧(⊺⇮2772+⊺⇮1517)⋳⪒((⊺⇮3439⪒⊺⇮1612)*(⊺⇮1124≋⫹)))⊪","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":34101189,"operation_count":8,"complexity_ratio":4262648.625,"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":4071,"base":10},"right_expr":{"type":"numeric_atoms","value":1030,"base":10}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2772,"base":10},"right_expr":{"type":"numeric_atoms","value":1517,"base":10}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3439,"base":10},"right_expr":{"type":"numeric_atoms","value":1612,"base":10}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1124,"base":10}}}}},"used_operators":["zVYPLywUTj","12rbrZMWeM","Ph9nP6C5qx","mp7IySMOzn","W4YGzv6Whe","9HNa5Wba9A","f6k1SAg4EE","N41Kp7NANJ"],"dependent_operators":["sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"Inf","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4071","layer":4},{"info":"number node, value=1030","layer":4},{"info":"compute binary expreesion, left_input=4071, right_input=1030, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2060","layer":3},{"info":"number node, value=2772","layer":4},{"info":"number node, value=1517","layer":4},{"info":"compute binary expreesion, left_input=2772, right_input=1517, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4289","layer":3},{"info":"compute binary expreesion, left_input=2060, right_input=4289, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3816","layer":2},{"info":"number node, value=3439","layer":4},{"info":"number node, value=1612","layer":4},{"info":"compute binary expreesion, left_input=3439, right_input=1612, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5051","layer":3},{"info":"number node, value=1124","layer":4},{"info":"compute unary expreesion, input=1124, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2248","layer":3},{"info":"compute binary expreesion, left_input=-5051, right_input=-2248, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=11354648","layer":2},{"info":"compute binary expreesion, left_input=3816, right_input=11354648, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-11347303","layer":1},{"info":"compute unary expreesion, input=-11347303, 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":0}],"base":10,"result_base":10,"text":"(⊺⇮4071⇷⊺⇮1030≧⫂∧(⊺⇮2772+⊺⇮1517)⋳⪒((⊺⇮3439⪒⊺⇮1612)*(⊺⇮1124≋⫹)))⊪=Inf","reverse_text":"Inf=(⊺⇮4071⇷⊺⇮1030≧⫂∧(⊺⇮2772+⊺⇮1517)⋳⪒((⊺⇮3439⪒⊺⇮1612)*(⊺⇮1124≋⫹)))⊪","cot":[{"info":"⊺⇮4071⇷⊺⇮1030=⊺⇮2060","layer":3},{"info":"⊺⇮2772+⊺⇮1517=⊺⇮4289","layer":3},{"info":"⊺⇮2060≧⫂∧⊺⇮4289=⊺⇮3816","layer":2},{"info":"⊺⇮3439⪒⊺⇮1612=⊺⇮-5051","layer":3},{"info":"⊺⇮1124≋⫹=⊺⇮-2248","layer":3},{"info":"⊺⇮-5051*⊺⇮-2248=⊺⇮11354648","layer":2},{"info":"⊺⇮3816⋳⪒⊺⇮11354648=⊺⇮-11347303","layer":1},{"info":"⊺⇮-11347303⊪=Inf","layer":0}]}
{"id":85,"expression_no_base_symbol":"↯⪼(⊥(⫛⫱⨽($1983$%$1175$)))","expression":"↯⪼(⊥(⫛⫱⨽(⊺⇮1983%⊺⇮1175)))","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1455,"operation_count":4,"complexity_ratio":363.75,"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":1983,"base":10},"right_expr":{"type":"numeric_atoms","value":1175,"base":10}}}}},"used_operators":["8jW3W4yZS5","Q3PJZHRvZv","DlLNRPXxWL","k8jYdgA6NY"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","fu6greOZ01","rGHVDoGpnC","rysDP5nf3Z"],"result":"⊺⇮-21","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1983","layer":4},{"info":"number node, value=1175","layer":4},{"info":"compute binary expreesion, left_input=1983, right_input=1175, op_id = k8jYdgA6NY binary_op_definition= 'None', output=808","layer":3},{"info":"compute unary expreesion, input=808, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', 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 unary expreesion, input=0, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":0}],"base":10,"result_base":10,"text":"↯⪼(⊥(⫛⫱⨽(⊺⇮1983%⊺⇮1175)))=⊺⇮-21","reverse_text":"⊺⇮-21=↯⪼(⊥(⫛⫱⨽(⊺⇮1983%⊺⇮1175)))","cot":[{"info":"⊺⇮1983%⊺⇮1175=⊺⇮808","layer":3},{"info":"⫛⫱⨽⊺⇮808=⊺⇮0","layer":2},{"info":"⊥⊺⇮0=⊺⇮0","layer":1},{"info":"↯⪼⊺⇮0=⊺⇮-21","layer":0}]}
{"id":86,"expression_no_base_symbol":"(($3061$⨪↰⇹$2563$)⇷($2132$⪐)⪨≂($7561$⊉≛↸$3754$)⨐⩸⫘($3409$⫡⨏$1015$))+⇶⊼(($1407$↬$2055$)⊴($6932$⨎$3361$)⊘)","expression":"((⊺⇮3061⨪↰⇹⊺⇮2563)⇷(⊺⇮2132⪐)⪨≂(⊺⇮7561⊉≛↸⊺⇮3754)⨐⩸⫘(⊺⇮3409⫡⨏⊺⇮1015))+⇶⊼((⊺⇮1407↬⊺⇮2055)⊴(⊺⇮6932⨎⊺⇮3361)⊘)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":49329,"operation_count":12,"complexity_ratio":4110.75,"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":3061,"base":10},"right_expr":{"type":"numeric_atoms","value":2563,"base":10}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":2132,"base":10}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":7561,"base":10},"right_expr":{"type":"numeric_atoms","value":3754,"base":10}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3409,"base":10},"right_expr":{"type":"numeric_atoms","value":1015,"base":10}}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1407,"base":10},"right_expr":{"type":"numeric_atoms","value":2055,"base":10}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":6932,"base":10},"right_expr":{"type":"numeric_atoms","value":3361,"base":10}}}}},"used_operators":["TpPTUOHfaN","sdazOOVcIp","mp7IySMOzn","tmPS8pqC7x","eH2TOUuTDT","fu6greOZ01","DZ8iAZOCBD","QMFrweE19q","gu96TGCTMs","Nsiff2A1zJ","B5M0gjZbta","rJVOvQCfKK"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","dWAJyo7jo9","14qkJME0vr","rGHVDoGpnC","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3061","layer":4},{"info":"number node, value=2563","layer":4},{"info":"compute binary expreesion, left_input=3061, right_input=2563, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3061","layer":3},{"info":"number node, value=2132","layer":4},{"info":"compute unary expreesion, input=2132, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=4264","layer":3},{"info":"compute binary expreesion, left_input=3061, right_input=4264, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=8528","layer":2},{"info":"number node, value=7561","layer":4},{"info":"number node, value=3754","layer":4},{"info":"compute binary expreesion, left_input=7561, right_input=3754, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=15122","layer":3},{"info":"number node, value=3409","layer":4},{"info":"number node, value=1015","layer":4},{"info":"compute binary expreesion, left_input=3409, right_input=1015, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=19858","layer":3},{"info":"compute binary expreesion, left_input=15122, right_input=19858, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=8528, 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=1407","layer":4},{"info":"number node, value=2055","layer":4},{"info":"compute binary expreesion, left_input=1407, right_input=2055, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=6932","layer":4},{"info":"number node, value=3361","layer":4},{"info":"compute binary expreesion, left_input=6932, right_input=3361, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3361","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3361, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', 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=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":10,"result_base":10,"text":"((⊺⇮3061⨪↰⇹⊺⇮2563)⇷(⊺⇮2132⪐)⪨≂(⊺⇮7561⊉≛↸⊺⇮3754)⨐⩸⫘(⊺⇮3409⫡⨏⊺⇮1015))+⇶⊼((⊺⇮1407↬⊺⇮2055)⊴(⊺⇮6932⨎⊺⇮3361)⊘)=NaN","reverse_text":"NaN=((⊺⇮3061⨪↰⇹⊺⇮2563)⇷(⊺⇮2132⪐)⪨≂(⊺⇮7561⊉≛↸⊺⇮3754)⨐⩸⫘(⊺⇮3409⫡⨏⊺⇮1015))+⇶⊼((⊺⇮1407↬⊺⇮2055)⊴(⊺⇮6932⨎⊺⇮3361)⊘)","cot":[{"info":"⊺⇮3061⨪↰⇹⊺⇮2563=⊺⇮3061","layer":3},{"info":"⊺⇮2132⪐=⊺⇮4264","layer":3},{"info":"⊺⇮3061⇷⊺⇮4264=⊺⇮8528","layer":2},{"info":"⊺⇮7561⊉≛↸⊺⇮3754=⊺⇮15122","layer":3},{"info":"⊺⇮3409⫡⨏⊺⇮1015=⊺⇮19858","layer":3},{"info":"⊺⇮15122⨐⩸⫘⊺⇮19858=NaN","layer":2},{"info":"⊺⇮8528⪨≂NaN=NaN","layer":1},{"info":"⊺⇮1407↬⊺⇮2055=NaN","layer":3},{"info":"⊺⇮6932⨎⊺⇮3361=⊺⇮3361","layer":3},{"info":"NaN⊴⊺⇮3361=NaN","layer":2},{"info":"NaN⊘=NaN","layer":1},{"info":"NaN+⇶⊼NaN=NaN","layer":0}]}
{"id":87,"expression_no_base_symbol":"(⨰⫟⨤($3004$∲⫓$1481$)≹⇙⪍($3005$⩚⊴⇥$2357$))⩷∴((↯⪼$1982$)≹⇙⪍($5753$⩚⊴⇥$1001$)⪨≂(⨵≀≌(⫛⫱⨽$2167$)))","expression":"(⨰⫟⨤(⊺⇮3004∲⫓⊺⇮1481)≹⇙⪍(⊺⇮3005⩚⊴⇥⊺⇮2357))⩷∴((↯⪼⊺⇮1982)≹⇙⪍(⊺⇮5753⩚⊴⇥⊺⇮1001)⪨≂(⨵≀≌(⫛⫱⨽⊺⇮2167)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1509,"operation_count":11,"complexity_ratio":137.1818181818182,"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":3004,"base":10},"right_expr":{"type":"numeric_atoms","value":1481,"base":10}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3005,"base":10},"right_expr":{"type":"numeric_atoms","value":2357,"base":10}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1982,"base":10}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":5753,"base":10},"right_expr":{"type":"numeric_atoms","value":1001,"base":10}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2167,"base":10}}}}},"used_operators":["9FxExcQeMw","Tw270M8GLb","AHs5Up7iyr","i8ToyICDmI","NTOWxs364D","sdazOOVcIp","8jW3W4yZS5","srAu1WTS94","DlLNRPXxWL"],"dependent_operators":["rysDP5nf3Z","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3004","layer":4},{"info":"number node, value=1481","layer":4},{"info":"compute binary expreesion, left_input=3004, right_input=1481, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=3005","layer":4},{"info":"number node, value=2357","layer":4},{"info":"compute binary expreesion, left_input=3005, right_input=2357, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5483","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-5483, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=1982","layer":4},{"info":"compute unary expreesion, input=1982, 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=5753","layer":4},{"info":"number node, value=1001","layer":4},{"info":"compute binary expreesion, left_input=5753, right_input=1001, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6875","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-6875, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=2167","layer":4},{"info":"compute unary expreesion, input=2167, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⨰⫟⨤(⊺⇮3004∲⫓⊺⇮1481)≹⇙⪍(⊺⇮3005⩚⊴⇥⊺⇮2357))⩷∴((↯⪼⊺⇮1982)≹⇙⪍(⊺⇮5753⩚⊴⇥⊺⇮1001)⪨≂(⨵≀≌(⫛⫱⨽⊺⇮2167)))=NaN","reverse_text":"NaN=(⨰⫟⨤(⊺⇮3004∲⫓⊺⇮1481)≹⇙⪍(⊺⇮3005⩚⊴⇥⊺⇮2357))⩷∴((↯⪼⊺⇮1982)≹⇙⪍(⊺⇮5753⩚⊴⇥⊺⇮1001)⪨≂(⨵≀≌(⫛⫱⨽⊺⇮2167)))","cot":[{"info":"⊺⇮3004∲⫓⊺⇮1481=⊺⇮0","layer":3},{"info":"⊺⇮3005⩚⊴⇥⊺⇮2357=⊺⇮-5483","layer":3},{"info":"⊺⇮0≹⇙⪍⊺⇮-5483=NaN","layer":2},{"info":"⨰⫟⨤NaN=NaN","layer":1},{"info":"↯⪼⊺⇮1982=⊺⇮-21","layer":3},{"info":"⊺⇮5753⩚⊴⇥⊺⇮1001=⊺⇮-6875","layer":3},{"info":"⊺⇮-21≹⇙⪍⊺⇮-6875=NaN","layer":2},{"info":"⫛⫱⨽⊺⇮2167=⊺⇮0","layer":3},{"info":"⨵≀≌⊺⇮0=⊺⇮0","layer":2},{"info":"NaN⪨≂⊺⇮0=NaN","layer":1},{"info":"NaN⩷∴NaN=NaN","layer":0}]}
{"id":88,"expression_no_base_symbol":"($1612$*$4038$⨸⪁$7015$↬$1032$∲⫓(⨈⫕$6867$)⨸⪁($2333$/$2546$))⊴(($1701$⊭↱$2182$)↬$1019$⊴$1498$∑⇟⊟($4063$⊭∹↮)⨪↰⇹(↔$2241$))","expression":"(⊺⇮1612*⊺⇮4038⨸⪁⊺⇮7015↬⊺⇮1032∲⫓(⨈⫕⊺⇮6867)⨸⪁(⊺⇮2333/⊺⇮2546))⊴((⊺⇮1701⊭↱⊺⇮2182)↬⊺⇮1019⊴⊺⇮1498∑⇟⊟(⊺⇮4063⊭∹↮)⨪↰⇹(↔⊺⇮2241))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":11665,"operation_count":15,"complexity_ratio":777.6666666666666,"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":1612,"base":10},"right_expr":{"type":"numeric_atoms","value":4038,"base":10}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":7015,"base":10},"right_expr":{"type":"numeric_atoms","value":1032,"base":10}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":6867,"base":10}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2333,"base":10},"right_expr":{"type":"numeric_atoms","value":2546,"base":10}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1701,"base":10},"right_expr":{"type":"numeric_atoms","value":2182,"base":10}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1019,"base":10},"right_expr":{"type":"numeric_atoms","value":1498,"base":10}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":4063,"base":10}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2241,"base":10}}}}},"used_operators":["Nsiff2A1zJ","i8ToyICDmI","g55IO6H4Gj","9HNa5Wba9A","B5M0gjZbta","megm06wKyl","XhwjNDsVaA","U7g4x0WXJJ","COABgblf1C","tmPS8pqC7x","xNBdhnnwKq","ruOEQAzv1W"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","rGHVDoGpnC","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1612","layer":4},{"info":"number node, value=4038","layer":4},{"info":"compute binary expreesion, left_input=1612, right_input=4038, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=6509256","layer":3},{"info":"number node, value=7015","layer":4},{"info":"number node, value=1032","layer":4},{"info":"compute binary expreesion, left_input=7015, right_input=1032, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=6509256, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"number node, value=6867","layer":4},{"info":"compute unary expreesion, input=6867, 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=2333","layer":4},{"info":"number node, value=2546","layer":4},{"info":"compute binary expreesion, left_input=2333, right_input=2546, op_id = XhwjNDsVaA binary_op_definition= 'None', 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":"compute binary expreesion, left_input=nan, right_input=-42, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":1},{"info":"number node, value=1701","layer":4},{"info":"number node, value=2182","layer":4},{"info":"compute binary expreesion, left_input=1701, right_input=2182, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=967","layer":3},{"info":"number node, value=1019","layer":4},{"info":"number node, value=1498","layer":4},{"info":"compute binary expreesion, left_input=1019, right_input=1498, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=967, 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=4063","layer":4},{"info":"compute unary expreesion, input=4063, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=8126","layer":3},{"info":"number node, value=2241","layer":4},{"info":"compute unary expreesion, input=2241, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1968","layer":3},{"info":"compute binary expreesion, left_input=8126, right_input=-1968, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=8126","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=8126, 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 = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1612*⊺⇮4038⨸⪁⊺⇮7015↬⊺⇮1032∲⫓(⨈⫕⊺⇮6867)⨸⪁(⊺⇮2333/⊺⇮2546))⊴((⊺⇮1701⊭↱⊺⇮2182)↬⊺⇮1019⊴⊺⇮1498∑⇟⊟(⊺⇮4063⊭∹↮)⨪↰⇹(↔⊺⇮2241))=NaN","reverse_text":"NaN=(⊺⇮1612*⊺⇮4038⨸⪁⊺⇮7015↬⊺⇮1032∲⫓(⨈⫕⊺⇮6867)⨸⪁(⊺⇮2333/⊺⇮2546))⊴((⊺⇮1701⊭↱⊺⇮2182)↬⊺⇮1019⊴⊺⇮1498∑⇟⊟(⊺⇮4063⊭∹↮)⨪↰⇹(↔⊺⇮2241))","cot":[{"info":"⊺⇮1612*⊺⇮4038=⊺⇮6509256","layer":3},{"info":"⊺⇮7015↬⊺⇮1032=NaN","layer":3},{"info":"⊺⇮6509256⨸⪁NaN=NaN","layer":2},{"info":"⨈⫕⊺⇮6867=⊺⇮-21","layer":3},{"info":"⊺⇮2333/⊺⇮2546=⊺⇮0","layer":3},{"info":"⊺⇮-21⨸⪁⊺⇮0=⊺⇮-42","layer":2},{"info":"NaN∲⫓⊺⇮-42=NaN","layer":1},{"info":"⊺⇮1701⊭↱⊺⇮2182=⊺⇮967","layer":3},{"info":"⊺⇮1019⊴⊺⇮1498=NaN","layer":3},{"info":"⊺⇮967↬NaN=NaN","layer":2},{"info":"⊺⇮4063⊭∹↮=⊺⇮8126","layer":3},{"info":"↔⊺⇮2241=⊺⇮-1968","layer":3},{"info":"⊺⇮8126⨪↰⇹⊺⇮-1968=⊺⇮8126","layer":2},{"info":"NaN∑⇟⊟⊺⇮8126=NaN","layer":1},{"info":"NaN⊴NaN=NaN","layer":0}]}
{"id":89,"expression_no_base_symbol":"(($8413$+$3704$)⨓($3049$-$1647$))⪮%⊝($3160$⊭↱$3938$⪒$4507$⩷∴$1395$)⊪","expression":"((⊺⇮8413+⊺⇮3704)⨓(⊺⇮3049-⊺⇮1647))⪮%⊝(⊺⇮3160⊭↱⊺⇮3938⪒⊺⇮4507⩷∴⊺⇮1395)⊪","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":8933,"operation_count":8,"complexity_ratio":1116.625,"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":8413,"base":10},"right_expr":{"type":"numeric_atoms","value":3704,"base":10}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3049,"base":10},"right_expr":{"type":"numeric_atoms","value":1647,"base":10}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3160,"base":10},"right_expr":{"type":"numeric_atoms","value":3938,"base":10}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4507,"base":10},"right_expr":{"type":"numeric_atoms","value":1395,"base":10}}}}},"used_operators":["zVYPLywUTj","IWmyXbctLI","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","f6k1SAg4EE","COABgblf1C","9FxExcQeMw"],"dependent_operators":["sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⊺⇮62490086","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=8413","layer":4},{"info":"number node, value=3704","layer":4},{"info":"compute binary expreesion, left_input=8413, right_input=3704, op_id = W4YGzv6Whe binary_op_definition= 'None', output=12117","layer":3},{"info":"number node, value=3049","layer":4},{"info":"number node, value=1647","layer":4},{"info":"compute binary expreesion, left_input=3049, right_input=1647, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1402","layer":3},{"info":"compute binary expreesion, left_input=12117, right_input=1402, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1405","layer":2},{"info":"number node, value=3160","layer":4},{"info":"number node, value=3938","layer":4},{"info":"compute binary expreesion, left_input=3160, right_input=3938, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=1561","layer":3},{"info":"number node, value=4507","layer":4},{"info":"number node, value=1395","layer":4},{"info":"compute binary expreesion, left_input=4507, right_input=1395, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=6192","layer":3},{"info":"compute binary expreesion, left_input=1561, right_input=6192, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7753","layer":2},{"info":"compute binary expreesion, left_input=-1405, right_input=-7753, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-2494","layer":1},{"info":"compute unary expreesion, input=-2494, 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=62490086","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮8413+⊺⇮3704)⨓(⊺⇮3049-⊺⇮1647))⪮%⊝(⊺⇮3160⊭↱⊺⇮3938⪒⊺⇮4507⩷∴⊺⇮1395)⊪=⊺⇮62490086","reverse_text":"⊺⇮62490086=((⊺⇮8413+⊺⇮3704)⨓(⊺⇮3049-⊺⇮1647))⪮%⊝(⊺⇮3160⊭↱⊺⇮3938⪒⊺⇮4507⩷∴⊺⇮1395)⊪","cot":[{"info":"⊺⇮8413+⊺⇮3704=⊺⇮12117","layer":3},{"info":"⊺⇮3049-⊺⇮1647=⊺⇮1402","layer":3},{"info":"⊺⇮12117⨓⊺⇮1402=⊺⇮-1405","layer":2},{"info":"⊺⇮3160⊭↱⊺⇮3938=⊺⇮1561","layer":3},{"info":"⊺⇮4507⩷∴⊺⇮1395=⊺⇮6192","layer":3},{"info":"⊺⇮1561⪒⊺⇮6192=⊺⇮-7753","layer":2},{"info":"⊺⇮-1405⪮%⊝⊺⇮-7753=⊺⇮-2494","layer":1},{"info":"⊺⇮-2494⊪=⊺⇮62490086","layer":0}]}
{"id":90,"expression_no_base_symbol":"(($6709$≭$1046$)⪮%⊝(⪲⇎$3388$)⋓(($8042$⫸⊐$1498$)∸))∑⇟⊟((⨵≀≌(≉$4608$))⋳⪒((⨑⩽⪐$2134$)⪒($3518$↛⩡⫤)))","expression":"((⊺⇮6709≭⊺⇮1046)⪮%⊝(⪲⇎⊺⇮3388)⋓((⊺⇮8042⫸⊐⊺⇮1498)∸))∑⇟⊟((⨵≀≌(≉⊺⇮4608))⋳⪒((⨑⩽⪐⊺⇮2134)⪒(⊺⇮3518↛⩡⫤)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":10934,"operation_count":13,"complexity_ratio":841.0769230769231,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":6709,"base":10},"right_expr":{"type":"numeric_atoms","value":1046,"base":10}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":3388,"base":10}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":8042,"base":10},"right_expr":{"type":"numeric_atoms","value":1498,"base":10}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":4608,"base":10}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2134,"base":10}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":3518,"base":10}}}}},"used_operators":["U7g4x0WXJJ","T2fj7uvVaJ","IWmyXbctLI","rxpJgHHUmx","XPYlsWDdGa","o20kRiQErp","mqXw5SEYmG","12rbrZMWeM","srAu1WTS94","e1ybzncUwg","f6k1SAg4EE","AF7qkfDlqP","FU0Cs4j7VP"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6709","layer":4},{"info":"number node, value=1046","layer":4},{"info":"compute binary expreesion, left_input=6709, right_input=1046, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=3388","layer":4},{"info":"compute unary expreesion, input=3388, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=6776","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6776, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"number node, value=8042","layer":4},{"info":"number node, value=1498","layer":4},{"info":"compute binary expreesion, left_input=8042, right_input=1498, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5867","layer":3},{"info":"compute unary expreesion, input=5867, 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 = T2fj7uvVaJ binary_op_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=4608","layer":4},{"info":"compute unary expreesion, input=4608, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=5139","layer":3},{"info":"compute unary expreesion, input=5139, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-15417","layer":2},{"info":"number node, value=2134","layer":4},{"info":"compute unary expreesion, input=2134, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1861","layer":3},{"info":"number node, value=3518","layer":4},{"info":"compute unary expreesion, input=3518, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-527307","layer":3},{"info":"compute binary expreesion, left_input=-1861, right_input=-527307, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=529168","layer":2},{"info":"compute binary expreesion, left_input=-15417, right_input=529168, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-560289","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-560289, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮6709≭⊺⇮1046)⪮%⊝(⪲⇎⊺⇮3388)⋓((⊺⇮8042⫸⊐⊺⇮1498)∸))∑⇟⊟((⨵≀≌(≉⊺⇮4608))⋳⪒((⨑⩽⪐⊺⇮2134)⪒(⊺⇮3518↛⩡⫤)))=NaN","reverse_text":"NaN=((⊺⇮6709≭⊺⇮1046)⪮%⊝(⪲⇎⊺⇮3388)⋓((⊺⇮8042⫸⊐⊺⇮1498)∸))∑⇟⊟((⨵≀≌(≉⊺⇮4608))⋳⪒((⨑⩽⪐⊺⇮2134)⪒(⊺⇮3518↛⩡⫤)))","cot":[{"info":"⊺⇮6709≭⊺⇮1046=NaN","layer":3},{"info":"⪲⇎⊺⇮3388=⊺⇮6776","layer":3},{"info":"NaN⪮%⊝⊺⇮6776=NaN","layer":2},{"info":"⊺⇮8042⫸⊐⊺⇮1498=⊺⇮5867","layer":3},{"info":"⊺⇮5867∸=⊺⇮177","layer":2},{"info":"NaN⋓⊺⇮177=⊺⇮0","layer":1},{"info":"≉⊺⇮4608=⊺⇮5139","layer":3},{"info":"⨵≀≌⊺⇮5139=⊺⇮-15417","layer":2},{"info":"⨑⩽⪐⊺⇮2134=⊺⇮-1861","layer":3},{"info":"⊺⇮3518↛⩡⫤=⊺⇮-527307","layer":3},{"info":"⊺⇮-1861⪒⊺⇮-527307=⊺⇮529168","layer":2},{"info":"⊺⇮-15417⋳⪒⊺⇮529168=⊺⇮-560289","layer":1},{"info":"⊺⇮0∑⇟⊟⊺⇮-560289=NaN","layer":0}]}
{"id":91,"expression_no_base_symbol":"($1597$⊘)⨰(≤/$3308$)⋳⪒($5306$+⇶⊼$1304$↺$1706$⪢$2683$)⫥∨⫟(≉(($2293$⨵⪆$3405$)%(↯⪼$3520$)))","expression":"(⊺⇮1597⊘)⨰(≤/⊺⇮3308)⋳⪒(⊺⇮5306+⇶⊼⊺⇮1304↺⊺⇮1706⪢⊺⇮2683)⫥∨⫟(≉((⊺⇮2293⨵⪆⊺⇮3405)%(↯⪼⊺⇮3520)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2914,"operation_count":12,"complexity_ratio":242.83333333333334,"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":1597,"base":10}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":3308,"base":10}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":5306,"base":10},"right_expr":{"type":"numeric_atoms","value":1304,"base":10}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1706,"base":10},"right_expr":{"type":"numeric_atoms","value":2683,"base":10}}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2293,"base":10},"right_expr":{"type":"numeric_atoms","value":3405,"base":10}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":3520,"base":10}}}}},"used_operators":["KYD54nUTWz","12rbrZMWeM","eewbuw0ToL","gu96TGCTMs","eLAdDNolq6","7j4O788W3g","TpPTUOHfaN","dWAJyo7jo9","e1ybzncUwg","k8jYdgA6NY","2DQ55sFlQl","8jW3W4yZS5"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1597","layer":4},{"info":"compute unary expreesion, input=1597, 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=3308","layer":4},{"info":"compute unary expreesion, input=3308, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2824","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-2824, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2834","layer":2},{"info":"number node, value=5306","layer":4},{"info":"number node, value=1304","layer":4},{"info":"compute binary expreesion, left_input=5306, right_input=1304, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=1706","layer":4},{"info":"number node, value=2683","layer":4},{"info":"compute binary expreesion, left_input=1706, right_input=2683, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = 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=2834, 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=2293","layer":4},{"info":"number node, value=3405","layer":4},{"info":"compute binary expreesion, left_input=2293, right_input=3405, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=3520","layer":4},{"info":"compute unary expreesion, input=3520, 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=160, right_input=-21, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-8","layer":2},{"info":"compute unary expreesion, input=-8, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=523","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=523, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1597⊘)⨰(≤/⊺⇮3308)⋳⪒(⊺⇮5306+⇶⊼⊺⇮1304↺⊺⇮1706⪢⊺⇮2683)⫥∨⫟(≉((⊺⇮2293⨵⪆⊺⇮3405)%(↯⪼⊺⇮3520)))=NaN","reverse_text":"NaN=(⊺⇮1597⊘)⨰(≤/⊺⇮3308)⋳⪒(⊺⇮5306+⇶⊼⊺⇮1304↺⊺⇮1706⪢⊺⇮2683)⫥∨⫟(≉((⊺⇮2293⨵⪆⊺⇮3405)%(↯⪼⊺⇮3520)))","cot":[{"info":"⊺⇮1597⊘=⊺⇮0","layer":3},{"info":"≤/⊺⇮3308=⊺⇮-2824","layer":3},{"info":"⊺⇮0⨰⊺⇮-2824=⊺⇮2834","layer":2},{"info":"⊺⇮5306+⇶⊼⊺⇮1304=NaN","layer":3},{"info":"⊺⇮1706⪢⊺⇮2683=NaN","layer":3},{"info":"NaN↺NaN=NaN","layer":2},{"info":"⊺⇮2834⋳⪒NaN=NaN","layer":1},{"info":"⊺⇮2293⨵⪆⊺⇮3405=⊺⇮160","layer":3},{"info":"↯⪼⊺⇮3520=⊺⇮-21","layer":3},{"info":"⊺⇮160%⊺⇮-21=⊺⇮-8","layer":2},{"info":"≉⊺⇮-8=⊺⇮523","layer":1},{"info":"NaN⫥∨⫟⊺⇮523=NaN","layer":0}]}
{"id":92,"expression_no_base_symbol":"($4216$∀⇚≩$4532$⫡⨏$1604$⨓$1937$)≹⇙⪍(($4399$⋳⪒$7314$)⨟⋌⩍($2152$⋓$3567$))⨟⋌⩍((⩦⩻⨪$3431$⋓$1695$)⨎(⇁⨣⪵$4102$⪛$4962$))","expression":"(⊺⇮4216∀⇚≩⊺⇮4532⫡⨏⊺⇮1604⨓⊺⇮1937)≹⇙⪍((⊺⇮4399⋳⪒⊺⇮7314)⨟⋌⩍(⊺⇮2152⋓⊺⇮3567))⨟⋌⩍((⩦⩻⨪⊺⇮3431⋓⊺⇮1695)⨎(⇁⨣⪵⊺⇮4102⪛⊺⇮4962))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":31507,"operation_count":13,"complexity_ratio":2423.6153846153848,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4216,"base":10},"right_expr":{"type":"numeric_atoms","value":4532,"base":10}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1604,"base":10},"right_expr":{"type":"numeric_atoms","value":1937,"base":10}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":4399,"base":10},"right_expr":{"type":"numeric_atoms","value":7314,"base":10}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2152,"base":10},"right_expr":{"type":"numeric_atoms","value":3567,"base":10}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3431,"base":10},"right_expr":{"type":"numeric_atoms","value":1695,"base":10}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":4102,"base":10},"right_expr":{"type":"numeric_atoms","value":4962,"base":10}}}}},"used_operators":["rGHVDoGpnC","AHs5Up7iyr","QMFrweE19q","LRNGc0VcxI","3ViojmjbAp","12rbrZMWeM","T2fj7uvVaJ","rJVOvQCfKK","2td37pGCOC","inkyxCbjAn","uFcxV4UQCh"],"dependent_operators":["Tcnh7f0tEr","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4216","layer":4},{"info":"number node, value=4532","layer":4},{"info":"compute binary expreesion, left_input=4216, right_input=4532, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1604","layer":4},{"info":"number node, value=1937","layer":4},{"info":"compute binary expreesion, left_input=1604, right_input=1937, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1940","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1940, op_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=4399","layer":4},{"info":"number node, value=7314","layer":4},{"info":"compute binary expreesion, left_input=4399, right_input=7314, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1197","layer":3},{"info":"number node, value=2152","layer":4},{"info":"number node, value=3567","layer":4},{"info":"compute binary expreesion, left_input=2152, right_input=3567, op_id = T2fj7uvVaJ binary_op_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=1197, 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=1197","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1197, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=3431","layer":4},{"info":"number node, value=1695","layer":4},{"info":"compute binary expreesion, left_input=3431, right_input=1695, op_id = T2fj7uvVaJ binary_op_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=4102","layer":4},{"info":"number node, value=4962","layer":4},{"info":"compute binary expreesion, left_input=4102, right_input=4962, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=4102","layer":3},{"info":"compute unary expreesion, input=4102, 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 = 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 = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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":10,"result_base":10,"text":"(⊺⇮4216∀⇚≩⊺⇮4532⫡⨏⊺⇮1604⨓⊺⇮1937)≹⇙⪍((⊺⇮4399⋳⪒⊺⇮7314)⨟⋌⩍(⊺⇮2152⋓⊺⇮3567))⨟⋌⩍((⩦⩻⨪⊺⇮3431⋓⊺⇮1695)⨎(⇁⨣⪵⊺⇮4102⪛⊺⇮4962))=NaN","reverse_text":"NaN=(⊺⇮4216∀⇚≩⊺⇮4532⫡⨏⊺⇮1604⨓⊺⇮1937)≹⇙⪍((⊺⇮4399⋳⪒⊺⇮7314)⨟⋌⩍(⊺⇮2152⋓⊺⇮3567))⨟⋌⩍((⩦⩻⨪⊺⇮3431⋓⊺⇮1695)⨎(⇁⨣⪵⊺⇮4102⪛⊺⇮4962))","cot":[{"info":"⊺⇮4216∀⇚≩⊺⇮4532=NaN","layer":3},{"info":"⊺⇮1604⨓⊺⇮1937=⊺⇮-1940","layer":3},{"info":"NaN⫡⨏⊺⇮-1940=NaN","layer":2},{"info":"⊺⇮4399⋳⪒⊺⇮7314=⊺⇮1197","layer":3},{"info":"⊺⇮2152⋓⊺⇮3567=⊺⇮0","layer":3},{"info":"⊺⇮1197⨟⋌⩍⊺⇮0=⊺⇮1197","layer":2},{"info":"NaN≹⇙⪍⊺⇮1197=NaN","layer":1},{"info":"⊺⇮3431⋓⊺⇮1695=⊺⇮0","layer":3},{"info":"⩦⩻⨪⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮4102⪛⊺⇮4962=⊺⇮4102","layer":3},{"info":"⇁⨣⪵⊺⇮4102=NaN","layer":2},{"info":"⊺⇮0⨎NaN=NaN","layer":1},{"info":"NaN⨟⋌⩍NaN=NaN","layer":0}]}
{"id":93,"expression_no_base_symbol":"(($1077$↛⩡⫤)⨽($6582$⋫))⪢(($4603$⋷$5209$)⪛($1551$⋷$1759$))↺((-$3052$)⫥∨⫟$2968$⪛$5337$)≧⫂∧($1418$⪢$6227$⨽($1514$↺$1634$))","expression":"((⊺⇮1077↛⩡⫤)⨽(⊺⇮6582⋫))⪢((⊺⇮4603⋷⊺⇮5209)⪛(⊺⇮1551⋷⊺⇮1759))↺((-⊺⇮3052)⫥∨⫟⊺⇮2968⪛⊺⇮5337)≧⫂∧(⊺⇮1418⪢⊺⇮6227⨽(⊺⇮1514↺⊺⇮1634))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":176965,"operation_count":15,"complexity_ratio":11797.666666666666,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1077,"base":10}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":6582,"base":10}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":4603,"base":10},"right_expr":{"type":"numeric_atoms","value":5209,"base":10}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1551,"base":10},"right_expr":{"type":"numeric_atoms","value":1759,"base":10}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":3052,"base":10}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2968,"base":10},"right_expr":{"type":"numeric_atoms","value":5337,"base":10}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1418,"base":10},"right_expr":{"type":"numeric_atoms","value":6227,"base":10}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1514,"base":10},"right_expr":{"type":"numeric_atoms","value":1634,"base":10}}}}},"used_operators":["7j4O788W3g","dWAJyo7jo9","8HhzD0ZcuI","FU0Cs4j7VP","JL8yIekQnl","uFcxV4UQCh","23Mk6UjR3U","Ph9nP6C5qx","KYD54nUTWz","t8gj7n24qd"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","tmPS8pqC7x","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1077","layer":4},{"info":"compute unary expreesion, input=1077, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-158716","layer":3},{"info":"number node, value=6582","layer":4},{"info":"compute unary expreesion, input=6582, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=6582","layer":3},{"info":"compute binary expreesion, left_input=-158716, right_input=6582, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":2},{"info":"number node, value=4603","layer":4},{"info":"number node, value=5209","layer":4},{"info":"compute binary expreesion, left_input=4603, right_input=5209, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=5815","layer":3},{"info":"number node, value=1551","layer":4},{"info":"number node, value=1759","layer":4},{"info":"compute binary expreesion, left_input=1551, right_input=1759, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1967","layer":3},{"info":"compute binary expreesion, left_input=5815, right_input=1967, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1881","layer":2},{"info":"compute binary expreesion, left_input=-inf, right_input=1881, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=3052","layer":4},{"info":"compute unary expreesion, input=3052, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-3052","layer":3},{"info":"number node, value=2968","layer":4},{"info":"number node, value=5337","layer":4},{"info":"compute binary expreesion, left_input=2968, right_input=5337, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2968","layer":3},{"info":"compute binary expreesion, left_input=-3052, right_input=2968, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1418","layer":4},{"info":"number node, value=6227","layer":4},{"info":"compute binary expreesion, left_input=1418, right_input=6227, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1514","layer":4},{"info":"number node, value=1634","layer":4},{"info":"compute binary expreesion, left_input=1514, right_input=1634, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1634","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1634, 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 = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1077↛⩡⫤)⨽(⊺⇮6582⋫))⪢((⊺⇮4603⋷⊺⇮5209)⪛(⊺⇮1551⋷⊺⇮1759))↺((-⊺⇮3052)⫥∨⫟⊺⇮2968⪛⊺⇮5337)≧⫂∧(⊺⇮1418⪢⊺⇮6227⨽(⊺⇮1514↺⊺⇮1634))=NaN","reverse_text":"NaN=((⊺⇮1077↛⩡⫤)⨽(⊺⇮6582⋫))⪢((⊺⇮4603⋷⊺⇮5209)⪛(⊺⇮1551⋷⊺⇮1759))↺((-⊺⇮3052)⫥∨⫟⊺⇮2968⪛⊺⇮5337)≧⫂∧(⊺⇮1418⪢⊺⇮6227⨽(⊺⇮1514↺⊺⇮1634))","cot":[{"info":"⊺⇮1077↛⩡⫤=⊺⇮-158716","layer":3},{"info":"⊺⇮6582⋫=⊺⇮6582","layer":3},{"info":"⊺⇮-158716⨽⊺⇮6582=-Inf","layer":2},{"info":"⊺⇮4603⋷⊺⇮5209=⊺⇮5815","layer":3},{"info":"⊺⇮1551⋷⊺⇮1759=⊺⇮1967","layer":3},{"info":"⊺⇮5815⪛⊺⇮1967=⊺⇮1881","layer":2},{"info":"-Inf⪢⊺⇮1881=NaN","layer":1},{"info":"-⊺⇮3052=⊺⇮-3052","layer":3},{"info":"⊺⇮2968⪛⊺⇮5337=⊺⇮2968","layer":3},{"info":"⊺⇮-3052⫥∨⫟⊺⇮2968=NaN","layer":2},{"info":"⊺⇮1418⪢⊺⇮6227=NaN","layer":3},{"info":"⊺⇮1514↺⊺⇮1634=⊺⇮1634","layer":3},{"info":"NaN⨽⊺⇮1634=NaN","layer":2},{"info":"NaN≧⫂∧NaN=NaN","layer":1},{"info":"NaN↺NaN=NaN","layer":0}]}
{"id":94,"expression_no_base_symbol":"⊥((⪝⪂⫅$3835$)⫸⊐($3218$⊭↱$1771$)-($3142$⋝⋈⪟$1304$)≹⇙⪍($2859$≫≃))","expression":"⊥((⪝⪂⫅⊺⇮3835)⫸⊐(⊺⇮3218⊭↱⊺⇮1771)-(⊺⇮3142⋝⋈⪟⊺⇮1304)≹⇙⪍(⊺⇮2859≫≃))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":173,"operation_count":8,"complexity_ratio":21.625,"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":3835,"base":10}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3218,"base":10},"right_expr":{"type":"numeric_atoms","value":1771,"base":10}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3142,"base":10},"right_expr":{"type":"numeric_atoms","value":1304,"base":10}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":2859,"base":10}}}}},"used_operators":["Q3PJZHRvZv","rysDP5nf3Z","mqXw5SEYmG","XTarYq4gQB","COABgblf1C","AHs5Up7iyr","2DDjHMKMc0","X99M06cbEe"],"dependent_operators":["fu6greOZ01","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3835","layer":4},{"info":"compute unary expreesion, input=3835, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-563745","layer":3},{"info":"number node, value=3218","layer":4},{"info":"number node, value=1771","layer":4},{"info":"compute binary expreesion, left_input=3218, right_input=1771, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-2889","layer":3},{"info":"compute binary expreesion, left_input=-563745, right_input=-2889, 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=3142","layer":4},{"info":"number node, value=1304","layer":4},{"info":"compute binary expreesion, left_input=3142, right_input=1304, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3142","layer":3},{"info":"number node, value=2859","layer":4},{"info":"compute unary expreesion, input=2859, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=7119","layer":3},{"info":"compute binary expreesion, left_input=3142, right_input=7119, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = rysDP5nf3Z 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":10,"result_base":10,"text":"⊥((⪝⪂⫅⊺⇮3835)⫸⊐(⊺⇮3218⊭↱⊺⇮1771)-(⊺⇮3142⋝⋈⪟⊺⇮1304)≹⇙⪍(⊺⇮2859≫≃))=NaN","reverse_text":"NaN=⊥((⪝⪂⫅⊺⇮3835)⫸⊐(⊺⇮3218⊭↱⊺⇮1771)-(⊺⇮3142⋝⋈⪟⊺⇮1304)≹⇙⪍(⊺⇮2859≫≃))","cot":[{"info":"⪝⪂⫅⊺⇮3835=⊺⇮-563745","layer":3},{"info":"⊺⇮3218⊭↱⊺⇮1771=⊺⇮-2889","layer":3},{"info":"⊺⇮-563745⫸⊐⊺⇮-2889=⊺⇮968","layer":2},{"info":"⊺⇮3142⋝⋈⪟⊺⇮1304=⊺⇮3142","layer":3},{"info":"⊺⇮2859≫≃=⊺⇮7119","layer":3},{"info":"⊺⇮3142≹⇙⪍⊺⇮7119=NaN","layer":2},{"info":"⊺⇮968-NaN=NaN","layer":1},{"info":"⊥NaN=NaN","layer":0}]}
{"id":95,"expression_no_base_symbol":"($2549$*$1872$+(⨈⫕$1506$)⋷($4707$+⇶⊼$2197$⫡⨏$1778$∀⇚≩$2200$))⪢($5494$∀⇚≩$1117$⫥∨⫟($1128$⨎$1076$)⋷$3429$∑⇟⊟$3014$⪒$3252$⨳⩥⨓$1418$)","expression":"(⊺⇮2549*⊺⇮1872+(⨈⫕⊺⇮1506)⋷(⊺⇮4707+⇶⊼⊺⇮2197⫡⨏⊺⇮1778∀⇚≩⊺⇮2200))⪢(⊺⇮5494∀⇚≩⊺⇮1117⫥∨⫟(⊺⇮1128⨎⊺⇮1076)⋷⊺⇮3429∑⇟⊟⊺⇮3014⪒⊺⇮3252⨳⩥⨓⊺⇮1418)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":53339,"operation_count":15,"complexity_ratio":3555.9333333333334,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2549,"base":10},"right_expr":{"type":"numeric_atoms","value":1872,"base":10}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1506,"base":10}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4707,"base":10},"right_expr":{"type":"numeric_atoms","value":2197,"base":10}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1778,"base":10},"right_expr":{"type":"numeric_atoms","value":2200,"base":10}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":5494,"base":10},"right_expr":{"type":"numeric_atoms","value":1117,"base":10}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1128,"base":10},"right_expr":{"type":"numeric_atoms","value":1076,"base":10}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3429,"base":10},"right_expr":{"type":"numeric_atoms","value":3014,"base":10}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3252,"base":10},"right_expr":{"type":"numeric_atoms","value":1418,"base":10}}}}},"used_operators":["dWAJyo7jo9","23Mk6UjR3U","W4YGzv6Whe","9HNa5Wba9A","megm06wKyl","QMFrweE19q","TpPTUOHfaN","LRNGc0VcxI","KYD54nUTWz","rJVOvQCfKK","f6k1SAg4EE","U7g4x0WXJJ","nCS4ZIUYfx"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","X99M06cbEe","8HhzD0ZcuI","rGHVDoGpnC","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2549","layer":4},{"info":"number node, value=1872","layer":4},{"info":"compute binary expreesion, left_input=2549, right_input=1872, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4771728","layer":3},{"info":"number node, value=1506","layer":4},{"info":"compute unary expreesion, input=1506, 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=4771728, right_input=-21, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4771707","layer":2},{"info":"number node, value=4707","layer":4},{"info":"number node, value=2197","layer":4},{"info":"compute binary expreesion, left_input=4707, right_input=2197, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1778","layer":4},{"info":"number node, value=2200","layer":4},{"info":"compute binary expreesion, left_input=1778, right_input=2200, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = 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=4771707, 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=5494","layer":4},{"info":"number node, value=1117","layer":4},{"info":"compute binary expreesion, left_input=5494, right_input=1117, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1128","layer":4},{"info":"number node, value=1076","layer":4},{"info":"compute binary expreesion, left_input=1128, right_input=1076, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1076","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1076, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=3429","layer":4},{"info":"number node, value=3014","layer":4},{"info":"compute binary expreesion, left_input=3429, right_input=3014, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=3252","layer":4},{"info":"number node, value=1418","layer":4},{"info":"compute binary expreesion, left_input=3252, right_input=1418, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1834","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1834, 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 = 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 = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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":10,"result_base":10,"text":"(⊺⇮2549*⊺⇮1872+(⨈⫕⊺⇮1506)⋷(⊺⇮4707+⇶⊼⊺⇮2197⫡⨏⊺⇮1778∀⇚≩⊺⇮2200))⪢(⊺⇮5494∀⇚≩⊺⇮1117⫥∨⫟(⊺⇮1128⨎⊺⇮1076)⋷⊺⇮3429∑⇟⊟⊺⇮3014⪒⊺⇮3252⨳⩥⨓⊺⇮1418)=NaN","reverse_text":"NaN=(⊺⇮2549*⊺⇮1872+(⨈⫕⊺⇮1506)⋷(⊺⇮4707+⇶⊼⊺⇮2197⫡⨏⊺⇮1778∀⇚≩⊺⇮2200))⪢(⊺⇮5494∀⇚≩⊺⇮1117⫥∨⫟(⊺⇮1128⨎⊺⇮1076)⋷⊺⇮3429∑⇟⊟⊺⇮3014⪒⊺⇮3252⨳⩥⨓⊺⇮1418)","cot":[{"info":"⊺⇮2549*⊺⇮1872=⊺⇮4771728","layer":3},{"info":"⨈⫕⊺⇮1506=⊺⇮-21","layer":3},{"info":"⊺⇮4771728+⊺⇮-21=⊺⇮4771707","layer":2},{"info":"⊺⇮4707+⇶⊼⊺⇮2197=NaN","layer":3},{"info":"⊺⇮1778∀⇚≩⊺⇮2200=NaN","layer":3},{"info":"NaN⫡⨏NaN=NaN","layer":2},{"info":"⊺⇮4771707⋷NaN=NaN","layer":1},{"info":"⊺⇮5494∀⇚≩⊺⇮1117=NaN","layer":3},{"info":"⊺⇮1128⨎⊺⇮1076=⊺⇮1076","layer":3},{"info":"NaN⫥∨⫟⊺⇮1076=NaN","layer":2},{"info":"⊺⇮3429∑⇟⊟⊺⇮3014=NaN","layer":3},{"info":"⊺⇮3252⨳⩥⨓⊺⇮1418=⊺⇮-1834","layer":3},{"info":"NaN⪒⊺⇮-1834=NaN","layer":2},{"info":"NaN⋷NaN=NaN","layer":1},{"info":"NaN⪢NaN=NaN","layer":0}]}
{"id":96,"expression_no_base_symbol":"(⪝⪂⫅(⊙↵-($1449$⨓$5168$)))≣⋋","expression":"(⪝⪂⫅(⊙↵-(⊺⇮1449⨓⊺⇮5168)))≣⋋","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":11041,"operation_count":4,"complexity_ratio":2760.25,"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":1449,"base":10},"right_expr":{"type":"numeric_atoms","value":5168,"base":10}}}}},"used_operators":["Tcnh7f0tEr","XTarYq4gQB","oWn0xqSxBt","3ViojmjbAp"],"dependent_operators":["dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","9HNa5Wba9A","8w2t5hMYqp","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1449","layer":4},{"info":"number node, value=5168","layer":4},{"info":"compute binary expreesion, left_input=1449, right_input=5168, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5171","layer":3},{"info":"compute unary expreesion, input=-5171, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":2},{"info":"compute unary expreesion, input=196, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-28812","layer":1},{"info":"compute unary expreesion, input=-28812, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":0}],"base":10,"result_base":10,"text":"(⪝⪂⫅(⊙↵-(⊺⇮1449⨓⊺⇮5168)))≣⋋=⊺⇮0","reverse_text":"⊺⇮0=(⪝⪂⫅(⊙↵-(⊺⇮1449⨓⊺⇮5168)))≣⋋","cot":[{"info":"⊺⇮1449⨓⊺⇮5168=⊺⇮-5171","layer":3},{"info":"⊙↵-⊺⇮-5171=⊺⇮196","layer":2},{"info":"⪝⪂⫅⊺⇮196=⊺⇮-28812","layer":1},{"info":"⊺⇮-28812≣⋋=⊺⇮0","layer":0}]}
{"id":97,"expression_no_base_symbol":"⨑⩽⪐((↔$1641$)⫡⨏(⪲⇎$2844$))⨽$1080$⋓$3209$⨽($1512$⫸⊐$5005$)","expression":"⨑⩽⪐((↔⊺⇮1641)⫡⨏(⪲⇎⊺⇮2844))⨽⊺⇮1080⋓⊺⇮3209⨽(⊺⇮1512⫸⊐⊺⇮5005)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":5398,"operation_count":8,"complexity_ratio":674.75,"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":1641,"base":10}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":2844,"base":10}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1080,"base":10},"right_expr":{"type":"numeric_atoms","value":3209,"base":10}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1512,"base":10},"right_expr":{"type":"numeric_atoms","value":5005,"base":10}}}}},"used_operators":["AF7qkfDlqP","8HhzD0ZcuI","QMFrweE19q","ruOEQAzv1W","XPYlsWDdGa","T2fj7uvVaJ","mqXw5SEYmG"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⊺⇮169398501","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1641","layer":4},{"info":"compute unary expreesion, input=1641, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1368","layer":3},{"info":"number node, value=2844","layer":4},{"info":"compute unary expreesion, input=2844, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=5688","layer":3},{"info":"compute binary expreesion, left_input=-1368, right_input=5688, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=5319","layer":2},{"info":"number node, value=1080","layer":4},{"info":"number node, value=3209","layer":4},{"info":"compute binary expreesion, left_input=1080, right_input=3209, op_id = T2fj7uvVaJ binary_op_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=1512","layer":4},{"info":"number node, value=5005","layer":4},{"info":"compute binary expreesion, left_input=1512, right_input=5005, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=19895","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=19895, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-58371","layer":2},{"info":"compute binary expreesion, left_input=5319, right_input=-58371, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-84698856","layer":1},{"info":"compute unary expreesion, input=-84698856, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=169398501","layer":0}],"base":10,"result_base":10,"text":"⨑⩽⪐((↔⊺⇮1641)⫡⨏(⪲⇎⊺⇮2844))⨽⊺⇮1080⋓⊺⇮3209⨽(⊺⇮1512⫸⊐⊺⇮5005)=⊺⇮169398501","reverse_text":"⊺⇮169398501=⨑⩽⪐((↔⊺⇮1641)⫡⨏(⪲⇎⊺⇮2844))⨽⊺⇮1080⋓⊺⇮3209⨽(⊺⇮1512⫸⊐⊺⇮5005)","cot":[{"info":"↔⊺⇮1641=⊺⇮-1368","layer":3},{"info":"⪲⇎⊺⇮2844=⊺⇮5688","layer":3},{"info":"⊺⇮-1368⫡⨏⊺⇮5688=⊺⇮5319","layer":2},{"info":"⊺⇮1080⋓⊺⇮3209=⊺⇮0","layer":3},{"info":"⊺⇮1512⫸⊐⊺⇮5005=⊺⇮19895","layer":3},{"info":"⊺⇮0⨽⊺⇮19895=⊺⇮-58371","layer":2},{"info":"⊺⇮5319⨽⊺⇮-58371=⊺⇮-84698856","layer":1},{"info":"⨑⩽⪐⊺⇮-84698856=⊺⇮169398501","layer":0}]}
{"id":98,"expression_no_base_symbol":"(≉$3810$∑⇟⊟$1754$)↙($2507$⪄$1652$)⨓($2506$+⇶⊼$2459$)↛⩡⫤","expression":"(≉⊺⇮3810∑⇟⊟⊺⇮1754)↙(⊺⇮2507⪄⊺⇮1652)⨓(⊺⇮2506+⇶⊼⊺⇮2459)↛⩡⫤","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":169,"operation_count":7,"complexity_ratio":24.142857142857142,"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":3810,"base":10},"right_expr":{"type":"numeric_atoms","value":1754,"base":10}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2507,"base":10},"right_expr":{"type":"numeric_atoms","value":1652,"base":10}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2506,"base":10},"right_expr":{"type":"numeric_atoms","value":2459,"base":10}}}}},"used_operators":["FU0Cs4j7VP","yyfyN0ffXY","e1ybzncUwg","U7g4x0WXJJ","3ViojmjbAp","SUmda5xLS4","TpPTUOHfaN"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3810","layer":4},{"info":"number node, value=1754","layer":4},{"info":"compute binary expreesion, left_input=3810, right_input=1754, 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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":2},{"info":"number node, value=2507","layer":4},{"info":"number node, value=1652","layer":4},{"info":"compute binary expreesion, left_input=2507, right_input=1652, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-373733","layer":3},{"info":"number node, value=2506","layer":4},{"info":"number node, value=2459","layer":4},{"info":"compute binary expreesion, left_input=2506, right_input=2459, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=-373733, 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 = 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":10,"result_base":10,"text":"(≉⊺⇮3810∑⇟⊟⊺⇮1754)↙(⊺⇮2507⪄⊺⇮1652)⨓(⊺⇮2506+⇶⊼⊺⇮2459)↛⩡⫤=NaN","reverse_text":"NaN=(≉⊺⇮3810∑⇟⊟⊺⇮1754)↙(⊺⇮2507⪄⊺⇮1652)⨓(⊺⇮2506+⇶⊼⊺⇮2459)↛⩡⫤","cot":[{"info":"⊺⇮3810∑⇟⊟⊺⇮1754=NaN","layer":3},{"info":"≉NaN=NaN","layer":2},{"info":"⊺⇮2507⪄⊺⇮1652=⊺⇮-373733","layer":3},{"info":"⊺⇮2506+⇶⊼⊺⇮2459=NaN","layer":3},{"info":"⊺⇮-373733⨓NaN=NaN","layer":2},{"info":"NaN↙NaN=NaN","layer":1},{"info":"NaN↛⩡⫤=NaN","layer":0}]}
{"id":99,"expression_no_base_symbol":"(⨰⫟⨤($5775$⇷$5453$⫩⊇))⊉≛↸(+⊝⨔($1403$⪘⫢$5420$↙$1380$+⇶⊼$3406$))","expression":"(⨰⫟⨤(⊺⇮5775⇷⊺⇮5453⫩⊇))⊉≛↸(+⊝⨔(⊺⇮1403⪘⫢⊺⇮5420↙⊺⇮1380+⇶⊼⊺⇮3406))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":125248,"operation_count":8,"complexity_ratio":15656.0,"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":5775,"base":10},"right_expr":{"type":"numeric_atoms","value":5453,"base":10}}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1403,"base":10},"right_expr":{"type":"numeric_atoms","value":5420,"base":10}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1380,"base":10},"right_expr":{"type":"numeric_atoms","value":3406,"base":10}}}}},"used_operators":["DZ8iAZOCBD","Tw270M8GLb","BjRHVeLaeN","mp7IySMOzn","DhbWaqg5eL","yyfyN0ffXY","oacrs7FA3X","TpPTUOHfaN"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5775","layer":4},{"info":"number node, value=5453","layer":4},{"info":"compute binary expreesion, left_input=5775, right_input=5453, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=10906","layer":3},{"info":"compute unary expreesion, input=10906, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-10864","layer":2},{"info":"compute unary expreesion, input=-10864, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=1403","layer":4},{"info":"number node, value=5420","layer":4},{"info":"compute binary expreesion, left_input=1403, right_input=5420, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2682","layer":3},{"info":"number node, value=1380","layer":4},{"info":"number node, value=3406","layer":4},{"info":"compute binary expreesion, left_input=1380, right_input=3406, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=2682, 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 = 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 = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⨰⫟⨤(⊺⇮5775⇷⊺⇮5453⫩⊇))⊉≛↸(+⊝⨔(⊺⇮1403⪘⫢⊺⇮5420↙⊺⇮1380+⇶⊼⊺⇮3406))=NaN","reverse_text":"NaN=(⨰⫟⨤(⊺⇮5775⇷⊺⇮5453⫩⊇))⊉≛↸(+⊝⨔(⊺⇮1403⪘⫢⊺⇮5420↙⊺⇮1380+⇶⊼⊺⇮3406))","cot":[{"info":"⊺⇮5775⇷⊺⇮5453=⊺⇮10906","layer":3},{"info":"⊺⇮10906⫩⊇=⊺⇮-10864","layer":2},{"info":"⨰⫟⨤⊺⇮-10864=NaN","layer":1},{"info":"⊺⇮1403⪘⫢⊺⇮5420=⊺⇮2682","layer":3},{"info":"⊺⇮1380+⇶⊼⊺⇮3406=NaN","layer":3},{"info":"⊺⇮2682↙NaN=NaN","layer":2},{"info":"+⊝⨔NaN=⊺⇮1522","layer":1},{"info":"NaN⊉≛↸⊺⇮1522=NaN","layer":0}]}
{"id":100,"expression_no_base_symbol":"$2225$⋝⋈⪟$2809$≧⫂∧($4806$-$3323$)≎⊠⪸(($3350$⊭↱$2269$)⋥≓≎$1397$∼$5910$)⩨($2214$≹⇙⪍$4637$⫡⨏($7290$≋⫹))⨟⋌⩍($1945$≭$1039$⪄$1047$⨳⩥⨓$1930$)","expression":"⊺⇮2225⋝⋈⪟⊺⇮2809≧⫂∧(⊺⇮4806-⊺⇮3323)≎⊠⪸((⊺⇮3350⊭↱⊺⇮2269)⋥≓≎⊺⇮1397∼⊺⇮5910)⩨(⊺⇮2214≹⇙⪍⊺⇮4637⫡⨏(⊺⇮7290≋⫹))⨟⋌⩍(⊺⇮1945≭⊺⇮1039⪄⊺⇮1047⨳⩥⨓⊺⇮1930)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":354,"operation_count":15,"complexity_ratio":23.6,"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":2225,"base":10},"right_expr":{"type":"numeric_atoms","value":2809,"base":10}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4806,"base":10},"right_expr":{"type":"numeric_atoms","value":3323,"base":10}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3350,"base":10},"right_expr":{"type":"numeric_atoms","value":2269,"base":10}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1397,"base":10},"right_expr":{"type":"numeric_atoms","value":5910,"base":10}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2214,"base":10},"right_expr":{"type":"numeric_atoms","value":4637,"base":10}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":7290,"base":10}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1945,"base":10},"right_expr":{"type":"numeric_atoms","value":1039,"base":10}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1047,"base":10},"right_expr":{"type":"numeric_atoms","value":1930,"base":10}}}}},"used_operators":["2DlMacCsIx","bJkvcejdHO","Ph9nP6C5qx","2DDjHMKMc0","rysDP5nf3Z","Qy55tPpLXF","COABgblf1C","DyGG3AbaNP","rGHVDoGpnC","QMFrweE19q","AHs5Up7iyr","N41Kp7NANJ","SUmda5xLS4","rxpJgHHUmx","nCS4ZIUYfx"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2225","layer":4},{"info":"number node, value=2809","layer":4},{"info":"compute binary expreesion, left_input=2225, right_input=2809, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2225","layer":3},{"info":"number node, value=4806","layer":4},{"info":"number node, value=3323","layer":4},{"info":"compute binary expreesion, left_input=4806, right_input=3323, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1483","layer":3},{"info":"compute binary expreesion, left_input=2225, right_input=1483, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1010","layer":2},{"info":"number node, value=3350","layer":4},{"info":"number node, value=2269","layer":4},{"info":"compute binary expreesion, left_input=3350, right_input=2269, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-2157","layer":3},{"info":"number node, value=1397","layer":4},{"info":"number node, value=5910","layer":4},{"info":"compute binary expreesion, left_input=1397, right_input=5910, 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=-2157, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=1010, right_input=67, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=261117","layer":1},{"info":"number node, value=2214","layer":4},{"info":"number node, value=4637","layer":4},{"info":"compute binary expreesion, left_input=2214, right_input=4637, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=7290","layer":4},{"info":"compute unary expreesion, input=7290, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-14580","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-14580, op_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=1945","layer":4},{"info":"number node, value=1039","layer":4},{"info":"compute binary expreesion, left_input=1945, right_input=1039, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=1047","layer":4},{"info":"number node, value=1930","layer":4},{"info":"compute binary expreesion, left_input=1047, right_input=1930, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=883","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=883, 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 = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=261117, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⊺⇮2225⋝⋈⪟⊺⇮2809≧⫂∧(⊺⇮4806-⊺⇮3323)≎⊠⪸((⊺⇮3350⊭↱⊺⇮2269)⋥≓≎⊺⇮1397∼⊺⇮5910)⩨(⊺⇮2214≹⇙⪍⊺⇮4637⫡⨏(⊺⇮7290≋⫹))⨟⋌⩍(⊺⇮1945≭⊺⇮1039⪄⊺⇮1047⨳⩥⨓⊺⇮1930)=NaN","reverse_text":"NaN=⊺⇮2225⋝⋈⪟⊺⇮2809≧⫂∧(⊺⇮4806-⊺⇮3323)≎⊠⪸((⊺⇮3350⊭↱⊺⇮2269)⋥≓≎⊺⇮1397∼⊺⇮5910)⩨(⊺⇮2214≹⇙⪍⊺⇮4637⫡⨏(⊺⇮7290≋⫹))⨟⋌⩍(⊺⇮1945≭⊺⇮1039⪄⊺⇮1047⨳⩥⨓⊺⇮1930)","cot":[{"info":"⊺⇮2225⋝⋈⪟⊺⇮2809=⊺⇮2225","layer":3},{"info":"⊺⇮4806-⊺⇮3323=⊺⇮1483","layer":3},{"info":"⊺⇮2225≧⫂∧⊺⇮1483=⊺⇮1010","layer":2},{"info":"⊺⇮3350⊭↱⊺⇮2269=⊺⇮-2157","layer":3},{"info":"⊺⇮1397∼⊺⇮5910=NaN","layer":3},{"info":"⊺⇮-2157⋥≓≎NaN=⊺⇮67","layer":2},{"info":"⊺⇮1010≎⊠⪸⊺⇮67=⊺⇮261117","layer":1},{"info":"⊺⇮2214≹⇙⪍⊺⇮4637=NaN","layer":3},{"info":"⊺⇮7290≋⫹=⊺⇮-14580","layer":3},{"info":"NaN⫡⨏⊺⇮-14580=NaN","layer":2},{"info":"⊺⇮1945≭⊺⇮1039=NaN","layer":3},{"info":"⊺⇮1047⨳⩥⨓⊺⇮1930=⊺⇮883","layer":3},{"info":"NaN⪄⊺⇮883=⊺⇮3979","layer":2},{"info":"NaN⨟⋌⩍⊺⇮3979=NaN","layer":1},{"info":"⊺⇮261117⩨NaN=NaN","layer":0}]}
{"id":101,"expression_no_base_symbol":"(≦∁(⋗⩬⋾$5047$)⨎($2126$%$7203$))⊪","expression":"(≦∁(⋗⩬⋾⊺⇮5047)⨎(⊺⇮2126%⊺⇮7203))⊪","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":39,"operation_count":5,"complexity_ratio":7.8,"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":5047,"base":10}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2126,"base":10},"right_expr":{"type":"numeric_atoms","value":7203,"base":10}}}}},"used_operators":["zVYPLywUTj","9ICcGScMcE","rJVOvQCfKK","DpFCA1CohY","k8jYdgA6NY"],"dependent_operators":["sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5047","layer":4},{"info":"compute unary expreesion, input=5047, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-15141","layer":3},{"info":"number node, value=2126","layer":4},{"info":"number node, value=7203","layer":4},{"info":"compute binary expreesion, left_input=2126, right_input=7203, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2126","layer":3},{"info":"compute binary expreesion, left_input=-15141, right_input=2126, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2126","layer":2},{"info":"compute unary expreesion, input=2126, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2126","layer":1},{"info":"compute unary expreesion, input=2126, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":0}],"base":10,"result_base":10,"text":"(≦∁(⋗⩬⋾⊺⇮5047)⨎(⊺⇮2126%⊺⇮7203))⊪=⊺⇮0","reverse_text":"⊺⇮0=(≦∁(⋗⩬⋾⊺⇮5047)⨎(⊺⇮2126%⊺⇮7203))⊪","cot":[{"info":"⋗⩬⋾⊺⇮5047=⊺⇮-15141","layer":3},{"info":"⊺⇮2126%⊺⇮7203=⊺⇮2126","layer":3},{"info":"⊺⇮-15141⨎⊺⇮2126=⊺⇮2126","layer":2},{"info":"≦∁⊺⇮2126=⊺⇮2126","layer":1},{"info":"⊺⇮2126⊪=⊺⇮0","layer":0}]}
{"id":102,"expression_no_base_symbol":"↔(≦∁$1195$≭$2623$⨸⪁($1455$⊭↱$1332$))","expression":"↔(≦∁⊺⇮1195≭⊺⇮2623⨸⪁(⊺⇮1455⊭↱⊺⇮1332))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":33,"operation_count":5,"complexity_ratio":6.6,"tree":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1195,"base":10},"right_expr":{"type":"numeric_atoms","value":2623,"base":10}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1455,"base":10},"right_expr":{"type":"numeric_atoms","value":1332,"base":10}}}}},"used_operators":["ruOEQAzv1W","9ICcGScMcE","g55IO6H4Gj","rxpJgHHUmx","COABgblf1C"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮-134","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=1195","layer":4},{"info":"number node, value=2623","layer":4},{"info":"compute binary expreesion, left_input=1195, right_input=2623, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=1455","layer":4},{"info":"number node, value=1332","layer":4},{"info":"compute binary expreesion, left_input=1455, right_input=1332, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-241","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-241, 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":"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":10,"result_base":10,"text":"↔(≦∁⊺⇮1195≭⊺⇮2623⨸⪁(⊺⇮1455⊭↱⊺⇮1332))=⊺⇮-134","reverse_text":"⊺⇮-134=↔(≦∁⊺⇮1195≭⊺⇮2623⨸⪁(⊺⇮1455⊭↱⊺⇮1332))","cot":[{"info":"⊺⇮1195≭⊺⇮2623=NaN","layer":3},{"info":"⊺⇮1455⊭↱⊺⇮1332=⊺⇮-241","layer":3},{"info":"NaN⨸⪁⊺⇮-241=NaN","layer":2},{"info":"≦∁NaN=NaN","layer":1},{"info":"↔NaN=⊺⇮-134","layer":0}]}
{"id":103,"expression_no_base_symbol":"⨑⩽⪐(↽≂$1778$)⨎($2719$⫡⨏$2355$)⋥≓≎(∥⊫$1008$)∼($1260$⊘)","expression":"⨑⩽⪐(↽≂⊺⇮1778)⨎(⊺⇮2719⫡⨏⊺⇮2355)⋥≓≎(∥⊫⊺⇮1008)∼(⊺⇮1260⊘)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":102,"operation_count":8,"complexity_ratio":12.75,"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":1778,"base":10}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2719,"base":10},"right_expr":{"type":"numeric_atoms","value":2355,"base":10}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1008,"base":10}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1260,"base":10}}}}},"used_operators":["AF7qkfDlqP","Qy55tPpLXF","rJVOvQCfKK","u6S6b8DprG","QMFrweE19q","DyGG3AbaNP","P8v4zCKN1o","gu96TGCTMs"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"⊺⇮38819","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1778","layer":4},{"info":"compute unary expreesion, input=1778, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-3556","layer":3},{"info":"number node, value=2719","layer":4},{"info":"number node, value=2355","layer":4},{"info":"compute binary expreesion, left_input=2719, right_input=2355, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=19088","layer":3},{"info":"compute binary expreesion, left_input=-3556, right_input=19088, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=19088","layer":2},{"info":"number node, value=1008","layer":4},{"info":"compute unary expreesion, input=1008, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=1876","layer":3},{"info":"number node, value=1260","layer":4},{"info":"compute unary expreesion, input=1260, 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=1876, 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=19088, right_input=20, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-19015","layer":1},{"info":"compute unary expreesion, input=-19015, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=38819","layer":0}],"base":10,"result_base":10,"text":"⨑⩽⪐(↽≂⊺⇮1778)⨎(⊺⇮2719⫡⨏⊺⇮2355)⋥≓≎(∥⊫⊺⇮1008)∼(⊺⇮1260⊘)=⊺⇮38819","reverse_text":"⊺⇮38819=⨑⩽⪐(↽≂⊺⇮1778)⨎(⊺⇮2719⫡⨏⊺⇮2355)⋥≓≎(∥⊫⊺⇮1008)∼(⊺⇮1260⊘)","cot":[{"info":"↽≂⊺⇮1778=⊺⇮-3556","layer":3},{"info":"⊺⇮2719⫡⨏⊺⇮2355=⊺⇮19088","layer":3},{"info":"⊺⇮-3556⨎⊺⇮19088=⊺⇮19088","layer":2},{"info":"∥⊫⊺⇮1008=⊺⇮1876","layer":3},{"info":"⊺⇮1260⊘=⊺⇮0","layer":3},{"info":"⊺⇮1876∼⊺⇮0=⊺⇮20","layer":2},{"info":"⊺⇮19088⋥≓≎⊺⇮20=⊺⇮-19015","layer":1},{"info":"⨑⩽⪐⊺⇮-19015=⊺⇮38819","layer":0}]}
{"id":104,"expression_no_base_symbol":"(($2752$⇼⇔∾$8996$)⫸⊐($6361$⇋≉)⊉≛↸($3370$↬$3359$⫩⊇))≦≮≮","expression":"((⊺⇮2752⇼⇔∾⊺⇮8996)⫸⊐(⊺⇮6361⇋≉)⊉≛↸(⊺⇮3370↬⊺⇮3359⫩⊇))≦≮≮","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":37,"operation_count":7,"complexity_ratio":5.285714285714286,"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":2752,"base":10},"right_expr":{"type":"numeric_atoms","value":8996,"base":10}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":6361,"base":10}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3370,"base":10},"right_expr":{"type":"numeric_atoms","value":3359,"base":10}}}}},"used_operators":["D4vGDi5EA2","DZ8iAZOCBD","mqXw5SEYmG","tifHPKVTfV","XIabStNQrY","BjRHVeLaeN","B5M0gjZbta"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC"],"result":"⊺⇮-302226","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2752","layer":4},{"info":"number node, value=8996","layer":4},{"info":"compute binary expreesion, left_input=2752, right_input=8996, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=6244","layer":3},{"info":"number node, value=6361","layer":4},{"info":"compute unary expreesion, input=6361, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=12624","layer":3},{"info":"compute binary expreesion, left_input=6244, right_input=12624, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=50371","layer":2},{"info":"number node, value=3370","layer":4},{"info":"number node, value=3359","layer":4},{"info":"compute binary expreesion, left_input=3370, right_input=3359, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=50371, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=100742","layer":1},{"info":"compute unary expreesion, input=100742, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-302226","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮2752⇼⇔∾⊺⇮8996)⫸⊐(⊺⇮6361⇋≉)⊉≛↸(⊺⇮3370↬⊺⇮3359⫩⊇))≦≮≮=⊺⇮-302226","reverse_text":"⊺⇮-302226=((⊺⇮2752⇼⇔∾⊺⇮8996)⫸⊐(⊺⇮6361⇋≉)⊉≛↸(⊺⇮3370↬⊺⇮3359⫩⊇))≦≮≮","cot":[{"info":"⊺⇮2752⇼⇔∾⊺⇮8996=⊺⇮6244","layer":3},{"info":"⊺⇮6361⇋≉=⊺⇮12624","layer":3},{"info":"⊺⇮6244⫸⊐⊺⇮12624=⊺⇮50371","layer":2},{"info":"⊺⇮3370↬⊺⇮3359=NaN","layer":3},{"info":"NaN⫩⊇=NaN","layer":2},{"info":"⊺⇮50371⊉≛↸NaN=⊺⇮100742","layer":1},{"info":"⊺⇮100742≦≮≮=⊺⇮-302226","layer":0}]}
{"id":105,"expression_no_base_symbol":"(($5217$∼$6079$)⨟⋌⩍($3408$⪛$5066$)≋⫹)⫡⨏($1008$⨵⪆$1395$)⨓($3759$⨰$2854$)↺($5450$⩨$1381$)⨓(∂$2471$)","expression":"((⊺⇮5217∼⊺⇮6079)⨟⋌⩍(⊺⇮3408⪛⊺⇮5066)≋⫹)⫡⨏(⊺⇮1008⨵⪆⊺⇮1395)⨓(⊺⇮3759⨰⊺⇮2854)↺(⊺⇮5450⩨⊺⇮1381)⨓(∂⊺⇮2471)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1061,"operation_count":12,"complexity_ratio":88.41666666666667,"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":5217,"base":10},"right_expr":{"type":"numeric_atoms","value":6079,"base":10}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3408,"base":10},"right_expr":{"type":"numeric_atoms","value":5066,"base":10}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1008,"base":10},"right_expr":{"type":"numeric_atoms","value":1395,"base":10}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3759,"base":10},"right_expr":{"type":"numeric_atoms","value":2854,"base":10}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":5450,"base":10},"right_expr":{"type":"numeric_atoms","value":1381,"base":10}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2471,"base":10}}}}},"used_operators":["QMFrweE19q","N41Kp7NANJ","rGHVDoGpnC","DyGG3AbaNP","uFcxV4UQCh","7j4O788W3g","3ViojmjbAp","2DQ55sFlQl","eewbuw0ToL","2DlMacCsIx","Uaa54Peajs"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5217","layer":4},{"info":"number node, value=6079","layer":4},{"info":"compute binary expreesion, left_input=5217, right_input=6079, 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=3408","layer":4},{"info":"number node, value=5066","layer":4},{"info":"compute binary expreesion, left_input=3408, right_input=5066, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3408","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3408, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=nan","layer":1},{"info":"number node, value=1008","layer":4},{"info":"number node, value=1395","layer":4},{"info":"compute binary expreesion, left_input=1008, right_input=1395, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=3759","layer":4},{"info":"number node, value=2854","layer":4},{"info":"compute binary expreesion, left_input=3759, right_input=2854, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=915","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=915, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-918","layer":2},{"info":"number node, value=5450","layer":4},{"info":"number node, value=1381","layer":4},{"info":"compute binary expreesion, left_input=5450, right_input=1381, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=2471","layer":4},{"info":"compute unary expreesion, input=2471, 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 = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-918, 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 = 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":10,"result_base":10,"text":"((⊺⇮5217∼⊺⇮6079)⨟⋌⩍(⊺⇮3408⪛⊺⇮5066)≋⫹)⫡⨏(⊺⇮1008⨵⪆⊺⇮1395)⨓(⊺⇮3759⨰⊺⇮2854)↺(⊺⇮5450⩨⊺⇮1381)⨓(∂⊺⇮2471)=NaN","reverse_text":"NaN=((⊺⇮5217∼⊺⇮6079)⨟⋌⩍(⊺⇮3408⪛⊺⇮5066)≋⫹)⫡⨏(⊺⇮1008⨵⪆⊺⇮1395)⨓(⊺⇮3759⨰⊺⇮2854)↺(⊺⇮5450⩨⊺⇮1381)⨓(∂⊺⇮2471)","cot":[{"info":"⊺⇮5217∼⊺⇮6079=NaN","layer":3},{"info":"⊺⇮3408⪛⊺⇮5066=⊺⇮3408","layer":3},{"info":"NaN⨟⋌⩍⊺⇮3408=NaN","layer":2},{"info":"NaN≋⫹=NaN","layer":1},{"info":"⊺⇮1008⨵⪆⊺⇮1395=⊺⇮160","layer":3},{"info":"⊺⇮3759⨰⊺⇮2854=⊺⇮915","layer":3},{"info":"⊺⇮160⨓⊺⇮915=⊺⇮-918","layer":2},{"info":"⊺⇮5450⩨⊺⇮1381=⊺⇮0","layer":3},{"info":"∂⊺⇮2471=NaN","layer":3},{"info":"⊺⇮0⨓NaN=NaN","layer":2},{"info":"⊺⇮-918↺NaN=NaN","layer":1},{"info":"NaN⫡⨏NaN=NaN","layer":0}]}
{"id":106,"expression_no_base_symbol":"(((↩$8043$)⨽($7080$⩠))⨽(⇁⨣⪵$7472$⋥≓≎$2833$))⨰(($2427$⫡⨏$2341$)⨓($5196$⊉≛↸$1488$)+⇶⊼(($2930$-$1020$)-$1970$⫸⊐$3635$))","expression":"(((↩⊺⇮8043)⨽(⊺⇮7080⩠))⨽(⇁⨣⪵⊺⇮7472⋥≓≎⊺⇮2833))⨰((⊺⇮2427⫡⨏⊺⇮2341)⨓(⊺⇮5196⊉≛↸⊺⇮1488)+⇶⊼((⊺⇮2930-⊺⇮1020)-⊺⇮1970⫸⊐⊺⇮3635))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":72062,"operation_count":14,"complexity_ratio":5147.285714285715,"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":8043,"base":10}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":7080,"base":10}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":7472,"base":10},"right_expr":{"type":"numeric_atoms","value":2833,"base":10}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2427,"base":10},"right_expr":{"type":"numeric_atoms","value":2341,"base":10}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":5196,"base":10},"right_expr":{"type":"numeric_atoms","value":1488,"base":10}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2930,"base":10},"right_expr":{"type":"numeric_atoms","value":1020,"base":10}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1970,"base":10},"right_expr":{"type":"numeric_atoms","value":3635,"base":10}}}}},"used_operators":["eewbuw0ToL","8HhzD0ZcuI","jLgFTUHLKL","sJAwomhLZr","inkyxCbjAn","Qy55tPpLXF","TpPTUOHfaN","3ViojmjbAp","QMFrweE19q","DZ8iAZOCBD","rysDP5nf3Z","mqXw5SEYmG"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","B5M0gjZbta","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=8043","layer":4},{"info":"compute unary expreesion, input=8043, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-61564","layer":3},{"info":"number node, value=7080","layer":4},{"info":"compute unary expreesion, input=7080, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-61564, right_input=0, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":2},{"info":"number node, value=7472","layer":4},{"info":"number node, value=2833","layer":4},{"info":"compute binary expreesion, left_input=7472, right_input=2833, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1773","layer":3},{"info":"compute unary expreesion, input=-1773, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-inf, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"number node, value=2427","layer":4},{"info":"number node, value=2341","layer":4},{"info":"compute binary expreesion, left_input=2427, right_input=2341, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=17600","layer":3},{"info":"number node, value=5196","layer":4},{"info":"number node, value=1488","layer":4},{"info":"compute binary expreesion, left_input=5196, right_input=1488, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=10392","layer":3},{"info":"compute binary expreesion, left_input=17600, right_input=10392, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-10395","layer":2},{"info":"number node, value=2930","layer":4},{"info":"number node, value=1020","layer":4},{"info":"compute binary expreesion, left_input=2930, right_input=1020, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1910","layer":3},{"info":"number node, value=1970","layer":4},{"info":"number node, value=3635","layer":4},{"info":"compute binary expreesion, left_input=1970, right_input=3635, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=14415","layer":3},{"info":"compute binary expreesion, left_input=1910, right_input=14415, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-12505","layer":2},{"info":"compute binary expreesion, left_input=-10395, right_input=-12505, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((↩⊺⇮8043)⨽(⊺⇮7080⩠))⨽(⇁⨣⪵⊺⇮7472⋥≓≎⊺⇮2833))⨰((⊺⇮2427⫡⨏⊺⇮2341)⨓(⊺⇮5196⊉≛↸⊺⇮1488)+⇶⊼((⊺⇮2930-⊺⇮1020)-⊺⇮1970⫸⊐⊺⇮3635))=NaN","reverse_text":"NaN=(((↩⊺⇮8043)⨽(⊺⇮7080⩠))⨽(⇁⨣⪵⊺⇮7472⋥≓≎⊺⇮2833))⨰((⊺⇮2427⫡⨏⊺⇮2341)⨓(⊺⇮5196⊉≛↸⊺⇮1488)+⇶⊼((⊺⇮2930-⊺⇮1020)-⊺⇮1970⫸⊐⊺⇮3635))","cot":[{"info":"↩⊺⇮8043=⊺⇮-61564","layer":3},{"info":"⊺⇮7080⩠=⊺⇮0","layer":3},{"info":"⊺⇮-61564⨽⊺⇮0=-Inf","layer":2},{"info":"⊺⇮7472⋥≓≎⊺⇮2833=⊺⇮-1773","layer":3},{"info":"⇁⨣⪵⊺⇮-1773=NaN","layer":2},{"info":"-Inf⨽NaN=NaN","layer":1},{"info":"⊺⇮2427⫡⨏⊺⇮2341=⊺⇮17600","layer":3},{"info":"⊺⇮5196⊉≛↸⊺⇮1488=⊺⇮10392","layer":3},{"info":"⊺⇮17600⨓⊺⇮10392=⊺⇮-10395","layer":2},{"info":"⊺⇮2930-⊺⇮1020=⊺⇮1910","layer":3},{"info":"⊺⇮1970⫸⊐⊺⇮3635=⊺⇮14415","layer":3},{"info":"⊺⇮1910-⊺⇮14415=⊺⇮-12505","layer":2},{"info":"⊺⇮-10395+⇶⊼⊺⇮-12505=NaN","layer":1},{"info":"NaN⨰NaN=NaN","layer":0}]}
{"id":107,"expression_no_base_symbol":"($3346$∀⇚≩$4066$∑⇟⊟$1183$⪢$4888$*(≤/$2018$⋳⪒$4215$))⪠⩆⊳","expression":"(⊺⇮3346∀⇚≩⊺⇮4066∑⇟⊟⊺⇮1183⪢⊺⇮4888*(≤/⊺⇮2018⋳⪒⊺⇮4215))⪠⩆⊳","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":28326,"operation_count":7,"complexity_ratio":4046.5714285714284,"tree":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3346,"base":10},"right_expr":{"type":"numeric_atoms","value":4066,"base":10}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1183,"base":10},"right_expr":{"type":"numeric_atoms","value":4888,"base":10}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2018,"base":10},"right_expr":{"type":"numeric_atoms","value":4215,"base":10}}}}},"used_operators":["JLbD19bQDL","9HNa5Wba9A","U7g4x0WXJJ","LRNGc0VcxI","dWAJyo7jo9","eLAdDNolq6","12rbrZMWeM"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","X99M06cbEe","k8jYdgA6NY","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=3346","layer":4},{"info":"number node, value=4066","layer":4},{"info":"compute binary expreesion, left_input=3346, right_input=4066, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1183","layer":4},{"info":"number node, value=4888","layer":4},{"info":"compute binary expreesion, left_input=1183, right_input=4888, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=2018","layer":4},{"info":"number node, value=4215","layer":4},{"info":"compute binary expreesion, left_input=2018, right_input=4215, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-466","layer":3},{"info":"compute unary expreesion, input=-466, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=950","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=950, op_id = 9HNa5Wba9A binary_op_definition= 'None', 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":10,"result_base":10,"text":"(⊺⇮3346∀⇚≩⊺⇮4066∑⇟⊟⊺⇮1183⪢⊺⇮4888*(≤/⊺⇮2018⋳⪒⊺⇮4215))⪠⩆⊳=NaN","reverse_text":"NaN=(⊺⇮3346∀⇚≩⊺⇮4066∑⇟⊟⊺⇮1183⪢⊺⇮4888*(≤/⊺⇮2018⋳⪒⊺⇮4215))⪠⩆⊳","cot":[{"info":"⊺⇮3346∀⇚≩⊺⇮4066=NaN","layer":3},{"info":"⊺⇮1183⪢⊺⇮4888=NaN","layer":3},{"info":"NaN∑⇟⊟NaN=NaN","layer":2},{"info":"⊺⇮2018⋳⪒⊺⇮4215=⊺⇮-466","layer":3},{"info":"≤/⊺⇮-466=⊺⇮950","layer":2},{"info":"NaN*⊺⇮950=NaN","layer":1},{"info":"NaN⪠⩆⊳=NaN","layer":0}]}
{"id":108,"expression_no_base_symbol":"(⊥($1200$⫸⊐$1519$))⩷∴(⪲⇎($6258$↺$2198$))⪐","expression":"(⊥(⊺⇮1200⫸⊐⊺⇮1519))⩷∴(⪲⇎(⊺⇮6258↺⊺⇮2198))⪐","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":37,"operation_count":6,"complexity_ratio":6.166666666666667,"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":1200,"base":10},"right_expr":{"type":"numeric_atoms","value":1519,"base":10}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":6258,"base":10},"right_expr":{"type":"numeric_atoms","value":2198,"base":10}}}}},"used_operators":["eH2TOUuTDT","9FxExcQeMw","Q3PJZHRvZv","mqXw5SEYmG","XPYlsWDdGa","7j4O788W3g"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","fu6greOZ01","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=1200","layer":4},{"info":"number node, value=1519","layer":4},{"info":"compute binary expreesion, left_input=1200, right_input=1519, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5951","layer":3},{"info":"compute unary expreesion, input=5951, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"number node, value=6258","layer":4},{"info":"number node, value=2198","layer":4},{"info":"compute binary expreesion, left_input=6258, right_input=2198, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2198","layer":3},{"info":"compute unary expreesion, input=2198, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=4396","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4396, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊥(⊺⇮1200⫸⊐⊺⇮1519))⩷∴(⪲⇎(⊺⇮6258↺⊺⇮2198))⪐=NaN","reverse_text":"NaN=(⊥(⊺⇮1200⫸⊐⊺⇮1519))⩷∴(⪲⇎(⊺⇮6258↺⊺⇮2198))⪐","cot":[{"info":"⊺⇮1200⫸⊐⊺⇮1519=⊺⇮5951","layer":3},{"info":"⊥⊺⇮5951=NaN","layer":2},{"info":"⊺⇮6258↺⊺⇮2198=⊺⇮2198","layer":3},{"info":"⪲⇎⊺⇮2198=⊺⇮4396","layer":2},{"info":"NaN⩷∴⊺⇮4396=NaN","layer":1},{"info":"NaN⪐=NaN","layer":0}]}
{"id":109,"expression_no_base_symbol":"(($1270$⨵⪆$1672$⪨≂($2286$+$4009$))⨳⩥⨓(⨑⩽⪐(≤/$8384$)))≎⊠⪸(⪲⇎((⨵≀≌$2145$)⪠⩆⊳))","expression":"((⊺⇮1270⨵⪆⊺⇮1672⪨≂(⊺⇮2286+⊺⇮4009))⨳⩥⨓(⨑⩽⪐(≤/⊺⇮8384)))≎⊠⪸(⪲⇎((⨵≀≌⊺⇮2145)⪠⩆⊳))","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":299,"operation_count":10,"complexity_ratio":29.9,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1270,"base":10},"right_expr":{"type":"numeric_atoms","value":1672,"base":10}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2286,"base":10},"right_expr":{"type":"numeric_atoms","value":4009,"base":10}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":8384,"base":10}}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":2145,"base":10}}}}},"used_operators":["bJkvcejdHO","nCS4ZIUYfx","sdazOOVcIp","2DQ55sFlQl","W4YGzv6Whe","AF7qkfDlqP","eLAdDNolq6","XPYlsWDdGa","JLbD19bQDL","srAu1WTS94"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"⊺⇮7447590","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1270","layer":4},{"info":"number node, value=1672","layer":4},{"info":"compute binary expreesion, left_input=1270, right_input=1672, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=2286","layer":4},{"info":"number node, value=4009","layer":4},{"info":"compute binary expreesion, left_input=2286, right_input=4009, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6295","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=6295, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-12168","layer":2},{"info":"number node, value=8384","layer":4},{"info":"compute unary expreesion, input=8384, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-7900","layer":3},{"info":"compute unary expreesion, input=-7900, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=16589","layer":2},{"info":"compute binary expreesion, left_input=-12168, right_input=16589, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=28757","layer":1},{"info":"number node, value=2145","layer":4},{"info":"compute unary expreesion, input=2145, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-6435","layer":3},{"info":"compute unary expreesion, input=-6435, 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 = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=28757, right_input=0, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=7447590","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1270⨵⪆⊺⇮1672⪨≂(⊺⇮2286+⊺⇮4009))⨳⩥⨓(⨑⩽⪐(≤/⊺⇮8384)))≎⊠⪸(⪲⇎((⨵≀≌⊺⇮2145)⪠⩆⊳))=⊺⇮7447590","reverse_text":"⊺⇮7447590=((⊺⇮1270⨵⪆⊺⇮1672⪨≂(⊺⇮2286+⊺⇮4009))⨳⩥⨓(⨑⩽⪐(≤/⊺⇮8384)))≎⊠⪸(⪲⇎((⨵≀≌⊺⇮2145)⪠⩆⊳))","cot":[{"info":"⊺⇮1270⨵⪆⊺⇮1672=⊺⇮160","layer":3},{"info":"⊺⇮2286+⊺⇮4009=⊺⇮6295","layer":3},{"info":"⊺⇮160⪨≂⊺⇮6295=⊺⇮-12168","layer":2},{"info":"≤/⊺⇮8384=⊺⇮-7900","layer":3},{"info":"⨑⩽⪐⊺⇮-7900=⊺⇮16589","layer":2},{"info":"⊺⇮-12168⨳⩥⨓⊺⇮16589=⊺⇮28757","layer":1},{"info":"⨵≀≌⊺⇮2145=⊺⇮-6435","layer":3},{"info":"⊺⇮-6435⪠⩆⊳=⊺⇮0","layer":2},{"info":"⪲⇎⊺⇮0=⊺⇮0","layer":1},{"info":"⊺⇮28757≎⊠⪸⊺⇮0=⊺⇮7447590","layer":0}]}
{"id":110,"expression_no_base_symbol":"((⫓⪴($1075$⊭∹↮))∲⫓(≤/$2594$≭$1989$))∑⇟⊟((($5827$⫌⩹⨱)∲⫓(⩦⩻⨪$3291$))⋳⪒($6995$⨟⋌⩍$4915$)≹⇙⪍($3971$↛⩡⫤))","expression":"((⫓⪴(⊺⇮1075⊭∹↮))∲⫓(≤/⊺⇮2594≭⊺⇮1989))∑⇟⊟(((⊺⇮5827⫌⩹⨱)∲⫓(⩦⩻⨪⊺⇮3291))⋳⪒(⊺⇮6995⨟⋌⩍⊺⇮4915)≹⇙⪍(⊺⇮3971↛⩡⫤))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":14229,"operation_count":13,"complexity_ratio":1094.5384615384614,"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":1075,"base":10}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2594,"base":10},"right_expr":{"type":"numeric_atoms","value":1989,"base":10}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":5827,"base":10}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":3291,"base":10}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":6995,"base":10},"right_expr":{"type":"numeric_atoms","value":4915,"base":10}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":3971,"base":10}}}}},"used_operators":["U7g4x0WXJJ","i8ToyICDmI","eLxqMNBOBk","xNBdhnnwKq","eLAdDNolq6","rxpJgHHUmx","12rbrZMWeM","EBcxylXtPf","2td37pGCOC","AHs5Up7iyr","rGHVDoGpnC","FU0Cs4j7VP"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","Tcnh7f0tEr","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1075","layer":4},{"info":"compute unary expreesion, input=1075, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2150","layer":3},{"info":"compute unary expreesion, input=2150, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=4622500","layer":2},{"info":"number node, value=2594","layer":4},{"info":"number node, value=1989","layer":4},{"info":"compute binary expreesion, left_input=2594, right_input=1989, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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 = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4622500, 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=5827","layer":4},{"info":"compute unary expreesion, input=5827, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=13055","layer":3},{"info":"number node, value=3291","layer":4},{"info":"compute unary expreesion, input=3291, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=3291","layer":3},{"info":"compute binary expreesion, left_input=13055, right_input=3291, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=6995","layer":4},{"info":"number node, value=4915","layer":4},{"info":"compute binary expreesion, left_input=6995, right_input=4915, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=3971","layer":4},{"info":"compute unary expreesion, input=3971, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-595710","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-595710, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = 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 = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⫓⪴(⊺⇮1075⊭∹↮))∲⫓(≤/⊺⇮2594≭⊺⇮1989))∑⇟⊟(((⊺⇮5827⫌⩹⨱)∲⫓(⩦⩻⨪⊺⇮3291))⋳⪒(⊺⇮6995⨟⋌⩍⊺⇮4915)≹⇙⪍(⊺⇮3971↛⩡⫤))=NaN","reverse_text":"NaN=((⫓⪴(⊺⇮1075⊭∹↮))∲⫓(≤/⊺⇮2594≭⊺⇮1989))∑⇟⊟(((⊺⇮5827⫌⩹⨱)∲⫓(⩦⩻⨪⊺⇮3291))⋳⪒(⊺⇮6995⨟⋌⩍⊺⇮4915)≹⇙⪍(⊺⇮3971↛⩡⫤))","cot":[{"info":"⊺⇮1075⊭∹↮=⊺⇮2150","layer":3},{"info":"⫓⪴⊺⇮2150=⊺⇮4622500","layer":2},{"info":"⊺⇮2594≭⊺⇮1989=NaN","layer":3},{"info":"≤/NaN=NaN","layer":2},{"info":"⊺⇮4622500∲⫓NaN=NaN","layer":1},{"info":"⊺⇮5827⫌⩹⨱=⊺⇮13055","layer":3},{"info":"⩦⩻⨪⊺⇮3291=⊺⇮3291","layer":3},{"info":"⊺⇮13055∲⫓⊺⇮3291=⊺⇮0","layer":2},{"info":"⊺⇮6995⨟⋌⩍⊺⇮4915=NaN","layer":3},{"info":"⊺⇮3971↛⩡⫤=⊺⇮-595710","layer":3},{"info":"NaN≹⇙⪍⊺⇮-595710=NaN","layer":2},{"info":"⊺⇮0⋳⪒NaN=NaN","layer":1},{"info":"NaN∑⇟⊟NaN=NaN","layer":0}]}
{"id":111,"expression_no_base_symbol":"((⨑⩽⪐$1928$)≹⇙⪍(≉$3514$)⊭↱($5274$⫡⨏$1707$)⫥∨⫟$2247$⊴$1174$)⋥≓≎(≉($3007$⊘)+⇶⊼($1722$⫥∨⫟$1106$))","expression":"((⨑⩽⪐⊺⇮1928)≹⇙⪍(≉⊺⇮3514)⊭↱(⊺⇮5274⫡⨏⊺⇮1707)⫥∨⫟⊺⇮2247⊴⊺⇮1174)⋥≓≎(≉(⊺⇮3007⊘)+⇶⊼(⊺⇮1722⫥∨⫟⊺⇮1106))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2490,"operation_count":12,"complexity_ratio":207.5,"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":1928,"base":10}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":3514,"base":10}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":5274,"base":10},"right_expr":{"type":"numeric_atoms","value":1707,"base":10}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2247,"base":10},"right_expr":{"type":"numeric_atoms","value":1174,"base":10}}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":3007,"base":10}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1722,"base":10},"right_expr":{"type":"numeric_atoms","value":1106,"base":10}}}}},"used_operators":["Qy55tPpLXF","COABgblf1C","AHs5Up7iyr","AF7qkfDlqP","e1ybzncUwg","KYD54nUTWz","QMFrweE19q","Nsiff2A1zJ","TpPTUOHfaN","gu96TGCTMs"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","AHs5Up7iyr","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"⊺⇮67","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1928","layer":4},{"info":"compute unary expreesion, input=1928, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1655","layer":3},{"info":"number node, value=3514","layer":4},{"info":"compute unary expreesion, input=3514, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=4045","layer":3},{"info":"compute binary expreesion, left_input=-1655, right_input=4045, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=5274","layer":4},{"info":"number node, value=1707","layer":4},{"info":"compute binary expreesion, left_input=5274, right_input=1707, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=30567","layer":3},{"info":"number node, value=2247","layer":4},{"info":"number node, value=1174","layer":4},{"info":"compute binary expreesion, left_input=2247, right_input=1174, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=30567, 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 = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"number node, value=3007","layer":4},{"info":"compute unary expreesion, input=3007, 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=1722","layer":4},{"info":"number node, value=1106","layer":4},{"info":"compute binary expreesion, left_input=1722, right_input=1106, 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 = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":1},{"info":"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":10,"result_base":10,"text":"((⨑⩽⪐⊺⇮1928)≹⇙⪍(≉⊺⇮3514)⊭↱(⊺⇮5274⫡⨏⊺⇮1707)⫥∨⫟⊺⇮2247⊴⊺⇮1174)⋥≓≎(≉(⊺⇮3007⊘)+⇶⊼(⊺⇮1722⫥∨⫟⊺⇮1106))=⊺⇮67","reverse_text":"⊺⇮67=((⨑⩽⪐⊺⇮1928)≹⇙⪍(≉⊺⇮3514)⊭↱(⊺⇮5274⫡⨏⊺⇮1707)⫥∨⫟⊺⇮2247⊴⊺⇮1174)⋥≓≎(≉(⊺⇮3007⊘)+⇶⊼(⊺⇮1722⫥∨⫟⊺⇮1106))","cot":[{"info":"⨑⩽⪐⊺⇮1928=⊺⇮-1655","layer":3},{"info":"≉⊺⇮3514=⊺⇮4045","layer":3},{"info":"⊺⇮-1655≹⇙⪍⊺⇮4045=NaN","layer":2},{"info":"⊺⇮5274⫡⨏⊺⇮1707=⊺⇮30567","layer":3},{"info":"⊺⇮2247⊴⊺⇮1174=NaN","layer":3},{"info":"⊺⇮30567⫥∨⫟NaN=NaN","layer":2},{"info":"NaN⊭↱NaN=NaN","layer":1},{"info":"⊺⇮3007⊘=⊺⇮0","layer":3},{"info":"⊺⇮1722⫥∨⫟⊺⇮1106=NaN","layer":3},{"info":"⊺⇮0+⇶⊼NaN=NaN","layer":2},{"info":"≉NaN=NaN","layer":1},{"info":"NaN⋥≓≎NaN=⊺⇮67","layer":0}]}
{"id":112,"expression_no_base_symbol":"⨑⩽⪐($2452$⇷$1120$⩨(↯⪼$1027$))≭$3040$⪮%⊝$1742$∀⇚≩($5147$⪨≂$2100$)","expression":"⨑⩽⪐(⊺⇮2452⇷⊺⇮1120⩨(↯⪼⊺⇮1027))≭⊺⇮3040⪮%⊝⊺⇮1742∀⇚≩(⊺⇮5147⪨≂⊺⇮2100)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":79163,"operation_count":8,"complexity_ratio":9895.375,"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":2452,"base":10},"right_expr":{"type":"numeric_atoms","value":1120,"base":10}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1027,"base":10}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3040,"base":10},"right_expr":{"type":"numeric_atoms","value":1742,"base":10}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":5147,"base":10},"right_expr":{"type":"numeric_atoms","value":2100,"base":10}}}}},"used_operators":["AF7qkfDlqP","rxpJgHHUmx","2DlMacCsIx","mp7IySMOzn","8jW3W4yZS5","LRNGc0VcxI","IWmyXbctLI","sdazOOVcIp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","AHs5Up7iyr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","X99M06cbEe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=2452","layer":4},{"info":"number node, value=1120","layer":4},{"info":"compute binary expreesion, left_input=2452, right_input=1120, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2240","layer":3},{"info":"number node, value=1027","layer":4},{"info":"compute unary expreesion, input=1027, 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=2240, right_input=-21, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=3","layer":2},{"info":"number node, value=3040","layer":4},{"info":"number node, value=1742","layer":4},{"info":"compute binary expreesion, left_input=3040, right_input=1742, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6396","layer":3},{"info":"number node, value=5147","layer":4},{"info":"number node, value=2100","layer":4},{"info":"compute binary expreesion, left_input=5147, right_input=2100, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=6196","layer":3},{"info":"compute binary expreesion, left_input=6396, right_input=6196, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=3, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 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":10,"result_base":10,"text":"⨑⩽⪐(⊺⇮2452⇷⊺⇮1120⩨(↯⪼⊺⇮1027))≭⊺⇮3040⪮%⊝⊺⇮1742∀⇚≩(⊺⇮5147⪨≂⊺⇮2100)=NaN","reverse_text":"NaN=⨑⩽⪐(⊺⇮2452⇷⊺⇮1120⩨(↯⪼⊺⇮1027))≭⊺⇮3040⪮%⊝⊺⇮1742∀⇚≩(⊺⇮5147⪨≂⊺⇮2100)","cot":[{"info":"⊺⇮2452⇷⊺⇮1120=⊺⇮2240","layer":3},{"info":"↯⪼⊺⇮1027=⊺⇮-21","layer":3},{"info":"⊺⇮2240⩨⊺⇮-21=⊺⇮3","layer":2},{"info":"⊺⇮3040⪮%⊝⊺⇮1742=⊺⇮6396","layer":3},{"info":"⊺⇮5147⪨≂⊺⇮2100=⊺⇮6196","layer":3},{"info":"⊺⇮6396∀⇚≩⊺⇮6196=NaN","layer":2},{"info":"⊺⇮3≭NaN=NaN","layer":1},{"info":"⨑⩽⪐NaN=NaN","layer":0}]}
{"id":113,"expression_no_base_symbol":"((↣≠⋷(⪝⪂⫅$1035$))⫌⩹⨱)≋⫹","expression":"((↣≠⋷(⪝⪂⫅⊺⇮1035))⫌⩹⨱)≋⫹","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":163,"operation_count":4,"complexity_ratio":40.75,"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":1035,"base":10}}}}},"used_operators":["N41Kp7NANJ","EBcxylXtPf","Asc51vEJeQ","XTarYq4gQB"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","AHs5Up7iyr","9HNa5Wba9A","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1035","layer":4},{"info":"compute unary expreesion, input=1035, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-152145","layer":3},{"info":"compute unary expreesion, input=-152145, 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 = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((↣≠⋷(⪝⪂⫅⊺⇮1035))⫌⩹⨱)≋⫹=NaN","reverse_text":"NaN=((↣≠⋷(⪝⪂⫅⊺⇮1035))⫌⩹⨱)≋⫹","cot":[{"info":"⪝⪂⫅⊺⇮1035=⊺⇮-152145","layer":3},{"info":"↣≠⋷⊺⇮-152145=NaN","layer":2},{"info":"NaN⫌⩹⨱=NaN","layer":1},{"info":"NaN≋⫹=NaN","layer":0}]}
{"id":114,"expression_no_base_symbol":"((⨵≀≌$2076$)⨎($2421$↙$1670$))⋝⋈⪟(⩦⩻⨪(≤/$4018$))⩷∴((↽≂$2199$)⩚⊴⇥$4163$∑⇟⊟$1491$⪒(⨈⫕($1234$⋷$1966$)))","expression":"((⨵≀≌⊺⇮2076)⨎(⊺⇮2421↙⊺⇮1670))⋝⋈⪟(⩦⩻⨪(≤/⊺⇮4018))⩷∴((↽≂⊺⇮2199)⩚⊴⇥⊺⇮4163∑⇟⊟⊺⇮1491⪒(⨈⫕(⊺⇮1234⋷⊺⇮1966)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2089,"operation_count":13,"complexity_ratio":160.69230769230768,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":2076,"base":10}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2421,"base":10},"right_expr":{"type":"numeric_atoms","value":1670,"base":10}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":4018,"base":10}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2199,"base":10}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":4163,"base":10},"right_expr":{"type":"numeric_atoms","value":1491,"base":10}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1234,"base":10},"right_expr":{"type":"numeric_atoms","value":1966,"base":10}}}}},"used_operators":["9FxExcQeMw","2DDjHMKMc0","rJVOvQCfKK","srAu1WTS94","yyfyN0ffXY","2td37pGCOC","eLAdDNolq6","f6k1SAg4EE","NTOWxs364D","u6S6b8DprG","U7g4x0WXJJ","megm06wKyl","23Mk6UjR3U"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2076","layer":4},{"info":"compute unary expreesion, input=2076, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-6228","layer":3},{"info":"number node, value=2421","layer":4},{"info":"number node, value=1670","layer":4},{"info":"compute binary expreesion, left_input=2421, right_input=1670, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5010","layer":3},{"info":"compute binary expreesion, left_input=-6228, right_input=-5010, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-5010","layer":2},{"info":"number node, value=4018","layer":4},{"info":"compute unary expreesion, input=4018, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-3534","layer":3},{"info":"compute unary expreesion, input=-3534, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-3534","layer":2},{"info":"compute binary expreesion, left_input=-5010, right_input=-3534, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-5010","layer":1},{"info":"number node, value=2199","layer":4},{"info":"compute unary expreesion, input=2199, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-4398","layer":3},{"info":"number node, value=4163","layer":4},{"info":"number node, value=1491","layer":4},{"info":"compute binary expreesion, left_input=4163, right_input=1491, 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=-4398, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"number node, value=1234","layer":4},{"info":"number node, value=1966","layer":4},{"info":"compute binary expreesion, left_input=1234, right_input=1966, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2698","layer":3},{"info":"compute unary expreesion, input=2698, 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 = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-5010, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⨵≀≌⊺⇮2076)⨎(⊺⇮2421↙⊺⇮1670))⋝⋈⪟(⩦⩻⨪(≤/⊺⇮4018))⩷∴((↽≂⊺⇮2199)⩚⊴⇥⊺⇮4163∑⇟⊟⊺⇮1491⪒(⨈⫕(⊺⇮1234⋷⊺⇮1966)))=NaN","reverse_text":"NaN=((⨵≀≌⊺⇮2076)⨎(⊺⇮2421↙⊺⇮1670))⋝⋈⪟(⩦⩻⨪(≤/⊺⇮4018))⩷∴((↽≂⊺⇮2199)⩚⊴⇥⊺⇮4163∑⇟⊟⊺⇮1491⪒(⨈⫕(⊺⇮1234⋷⊺⇮1966)))","cot":[{"info":"⨵≀≌⊺⇮2076=⊺⇮-6228","layer":3},{"info":"⊺⇮2421↙⊺⇮1670=⊺⇮-5010","layer":3},{"info":"⊺⇮-6228⨎⊺⇮-5010=⊺⇮-5010","layer":2},{"info":"≤/⊺⇮4018=⊺⇮-3534","layer":3},{"info":"⩦⩻⨪⊺⇮-3534=⊺⇮-3534","layer":2},{"info":"⊺⇮-5010⋝⋈⪟⊺⇮-3534=⊺⇮-5010","layer":1},{"info":"↽≂⊺⇮2199=⊺⇮-4398","layer":3},{"info":"⊺⇮4163∑⇟⊟⊺⇮1491=NaN","layer":3},{"info":"⊺⇮-4398⩚⊴⇥NaN=NaN","layer":2},{"info":"⊺⇮1234⋷⊺⇮1966=⊺⇮2698","layer":3},{"info":"⨈⫕⊺⇮2698=⊺⇮-21","layer":2},{"info":"NaN⪒⊺⇮-21=NaN","layer":1},{"info":"⊺⇮-5010⩷∴NaN=NaN","layer":0}]}
{"id":115,"expression_no_base_symbol":"(⩦⩻⨪$2344$⨟⋌⩍$1233$)⨟⋌⩍($5916$⨟⋌⩍$3172$/$5050$⫥∨⫟$5952$)↺(≤/($3117$⫥∨⫟$4207$)≎⊠⪸($2767$⨳⩥⨓$9132$))","expression":"(⩦⩻⨪⊺⇮2344⨟⋌⩍⊺⇮1233)⨟⋌⩍(⊺⇮5916⨟⋌⩍⊺⇮3172/⊺⇮5050⫥∨⫟⊺⇮5952)↺(≤/(⊺⇮3117⫥∨⫟⊺⇮4207)≎⊠⪸(⊺⇮2767⨳⩥⨓⊺⇮9132))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":333,"operation_count":11,"complexity_ratio":30.272727272727273,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2344,"base":10},"right_expr":{"type":"numeric_atoms","value":1233,"base":10}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":5916,"base":10},"right_expr":{"type":"numeric_atoms","value":3172,"base":10}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5050,"base":10},"right_expr":{"type":"numeric_atoms","value":5952,"base":10}}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3117,"base":10},"right_expr":{"type":"numeric_atoms","value":4207,"base":10}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2767,"base":10},"right_expr":{"type":"numeric_atoms","value":9132,"base":10}}}}},"used_operators":["7j4O788W3g","rGHVDoGpnC","2td37pGCOC","XhwjNDsVaA","KYD54nUTWz","eLAdDNolq6","bJkvcejdHO","nCS4ZIUYfx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=2344","layer":4},{"info":"number node, value=1233","layer":4},{"info":"compute binary expreesion, left_input=2344, right_input=1233, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":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=5916","layer":4},{"info":"number node, value=3172","layer":4},{"info":"compute binary expreesion, left_input=5916, right_input=3172, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=5050","layer":4},{"info":"number node, value=5952","layer":4},{"info":"compute binary expreesion, left_input=5050, right_input=5952, 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 = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=3117","layer":4},{"info":"number node, value=4207","layer":4},{"info":"compute binary expreesion, left_input=3117, right_input=4207, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=2767","layer":4},{"info":"number node, value=9132","layer":4},{"info":"compute binary expreesion, left_input=2767, right_input=9132, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=6365","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6365, 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 = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⩦⩻⨪⊺⇮2344⨟⋌⩍⊺⇮1233)⨟⋌⩍(⊺⇮5916⨟⋌⩍⊺⇮3172/⊺⇮5050⫥∨⫟⊺⇮5952)↺(≤/(⊺⇮3117⫥∨⫟⊺⇮4207)≎⊠⪸(⊺⇮2767⨳⩥⨓⊺⇮9132))=NaN","reverse_text":"NaN=(⩦⩻⨪⊺⇮2344⨟⋌⩍⊺⇮1233)⨟⋌⩍(⊺⇮5916⨟⋌⩍⊺⇮3172/⊺⇮5050⫥∨⫟⊺⇮5952)↺(≤/(⊺⇮3117⫥∨⫟⊺⇮4207)≎⊠⪸(⊺⇮2767⨳⩥⨓⊺⇮9132))","cot":[{"info":"⊺⇮2344⨟⋌⩍⊺⇮1233=NaN","layer":3},{"info":"⩦⩻⨪NaN=NaN","layer":2},{"info":"⊺⇮5916⨟⋌⩍⊺⇮3172=NaN","layer":3},{"info":"⊺⇮5050⫥∨⫟⊺⇮5952=NaN","layer":3},{"info":"NaN/NaN=NaN","layer":2},{"info":"NaN⨟⋌⩍NaN=NaN","layer":1},{"info":"⊺⇮3117⫥∨⫟⊺⇮4207=NaN","layer":3},{"info":"⊺⇮2767⨳⩥⨓⊺⇮9132=⊺⇮6365","layer":3},{"info":"NaN≎⊠⪸⊺⇮6365=NaN","layer":2},{"info":"≤/NaN=NaN","layer":1},{"info":"NaN↺NaN=NaN","layer":0}]}
{"id":116,"expression_no_base_symbol":"(∥⊫$2440$⨽$1792$⫸⊐$2543$⪢$1780$)⇷(($1510$⨵⪆$1024$)⪠⩆⊳)∼(⫛⫱⨽($1519$*$4681$))","expression":"(∥⊫⊺⇮2440⨽⊺⇮1792⫸⊐⊺⇮2543⪢⊺⇮1780)⇷((⊺⇮1510⨵⪆⊺⇮1024)⪠⩆⊳)∼(⫛⫱⨽(⊺⇮1519*⊺⇮4681))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":37567,"operation_count":10,"complexity_ratio":3756.7,"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":2440,"base":10},"right_expr":{"type":"numeric_atoms","value":1792,"base":10}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2543,"base":10},"right_expr":{"type":"numeric_atoms","value":1780,"base":10}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1510,"base":10},"right_expr":{"type":"numeric_atoms","value":1024,"base":10}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1519,"base":10},"right_expr":{"type":"numeric_atoms","value":4681,"base":10}}}}},"used_operators":["mp7IySMOzn","P8v4zCKN1o","mqXw5SEYmG","8HhzD0ZcuI","dWAJyo7jo9","DyGG3AbaNP","JLbD19bQDL","2DQ55sFlQl","DlLNRPXxWL","9HNa5Wba9A"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","k8jYdgA6NY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2440","layer":4},{"info":"number node, value=1792","layer":4},{"info":"compute binary expreesion, left_input=2440, right_input=1792, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-17864862","layer":3},{"info":"number node, value=2543","layer":4},{"info":"number node, value=1780","layer":4},{"info":"compute binary expreesion, left_input=2543, 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=-17864862, 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 = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=1836","layer":1},{"info":"number node, value=1510","layer":4},{"info":"number node, value=1024","layer":4},{"info":"compute binary expreesion, left_input=1510, right_input=1024, 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":"number node, value=1519","layer":4},{"info":"number node, value=4681","layer":4},{"info":"compute binary expreesion, left_input=1519, right_input=4681, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=7110439","layer":3},{"info":"compute unary expreesion, input=7110439, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":2},{"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":1},{"info":"compute binary expreesion, left_input=1836, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(∥⊫⊺⇮2440⨽⊺⇮1792⫸⊐⊺⇮2543⪢⊺⇮1780)⇷((⊺⇮1510⨵⪆⊺⇮1024)⪠⩆⊳)∼(⫛⫱⨽(⊺⇮1519*⊺⇮4681))=NaN","reverse_text":"NaN=(∥⊫⊺⇮2440⨽⊺⇮1792⫸⊐⊺⇮2543⪢⊺⇮1780)⇷((⊺⇮1510⨵⪆⊺⇮1024)⪠⩆⊳)∼(⫛⫱⨽(⊺⇮1519*⊺⇮4681))","cot":[{"info":"⊺⇮2440⨽⊺⇮1792=⊺⇮-17864862","layer":3},{"info":"⊺⇮2543⪢⊺⇮1780=NaN","layer":3},{"info":"⊺⇮-17864862⫸⊐NaN=⊺⇮968","layer":2},{"info":"∥⊫⊺⇮968=⊺⇮1836","layer":1},{"info":"⊺⇮1510⨵⪆⊺⇮1024=⊺⇮160","layer":3},{"info":"⊺⇮160⪠⩆⊳=⊺⇮0","layer":2},{"info":"⊺⇮1519*⊺⇮4681=⊺⇮7110439","layer":3},{"info":"⫛⫱⨽⊺⇮7110439=NaN","layer":2},{"info":"⊺⇮0∼NaN=NaN","layer":1},{"info":"⊺⇮1836⇷NaN=NaN","layer":0}]}
{"id":117,"expression_no_base_symbol":"(-(($1001$-$2925$)⋫))⨵⪆(≦∁(⨰⫟⨤($4911$%$3180$)))","expression":"(-((⊺⇮1001-⊺⇮2925)⋫))⨵⪆(≦∁(⨰⫟⨤(⊺⇮4911%⊺⇮3180)))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":8013,"operation_count":7,"complexity_ratio":1144.7142857142858,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1001,"base":10},"right_expr":{"type":"numeric_atoms","value":2925,"base":10}}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4911,"base":10},"right_expr":{"type":"numeric_atoms","value":3180,"base":10}}}}},"used_operators":["2DQ55sFlQl","t8gj7n24qd","JL8yIekQnl","rysDP5nf3Z","9ICcGScMcE","Tw270M8GLb","k8jYdgA6NY"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z"],"result":"⊺⇮160","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1001","layer":4},{"info":"number node, value=2925","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=2925, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1924","layer":3},{"info":"compute unary expreesion, input=-1924, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=-1924","layer":2},{"info":"compute unary expreesion, input=-1924, op_id = t8gj7n24qd, unary_op_definition = 'None', output=1924","layer":1},{"info":"number node, value=4911","layer":4},{"info":"number node, value=3180","layer":4},{"info":"compute binary expreesion, left_input=4911, right_input=3180, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1731","layer":3},{"info":"compute unary expreesion, input=1731, 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 = 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=1924, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":10,"result_base":10,"text":"(-((⊺⇮1001-⊺⇮2925)⋫))⨵⪆(≦∁(⨰⫟⨤(⊺⇮4911%⊺⇮3180)))=⊺⇮160","reverse_text":"⊺⇮160=(-((⊺⇮1001-⊺⇮2925)⋫))⨵⪆(≦∁(⨰⫟⨤(⊺⇮4911%⊺⇮3180)))","cot":[{"info":"⊺⇮1001-⊺⇮2925=⊺⇮-1924","layer":3},{"info":"⊺⇮-1924⋫=⊺⇮-1924","layer":2},{"info":"-⊺⇮-1924=⊺⇮1924","layer":1},{"info":"⊺⇮4911%⊺⇮3180=⊺⇮1731","layer":3},{"info":"⨰⫟⨤⊺⇮1731=NaN","layer":2},{"info":"≦∁NaN=NaN","layer":1},{"info":"⊺⇮1924⨵⪆NaN=⊺⇮160","layer":0}]}
{"id":118,"expression_no_base_symbol":"(($6244$≎⊠⪸$1431$)⩷∴($2842$⊠≄⫣)⪒(⇁⨣⪵$2299$)⊴($7363$∀⇚≩$1456$))⩠","expression":"((⊺⇮6244≎⊠⪸⊺⇮1431)⩷∴(⊺⇮2842⊠≄⫣)⪒(⇁⨣⪵⊺⇮2299)⊴(⊺⇮7363∀⇚≩⊺⇮1456))⩠","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":51849,"operation_count":8,"complexity_ratio":6481.125,"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":6244,"base":10},"right_expr":{"type":"numeric_atoms","value":1431,"base":10}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":2842,"base":10}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2299,"base":10}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":7363,"base":10},"right_expr":{"type":"numeric_atoms","value":1456,"base":10}}}}},"used_operators":["sJAwomhLZr","f6k1SAg4EE","9FxExcQeMw","bJkvcejdHO","DIvbN7qnHd","Nsiff2A1zJ","inkyxCbjAn","LRNGc0VcxI"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","B5M0gjZbta","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6244","layer":4},{"info":"number node, value=1431","layer":4},{"info":"compute binary expreesion, left_input=6244, right_input=1431, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1616723","layer":3},{"info":"number node, value=2842","layer":4},{"info":"compute unary expreesion, input=2842, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1616723, right_input=0, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=3233414","layer":2},{"info":"number node, value=2299","layer":4},{"info":"compute unary expreesion, input=2299, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=7363","layer":4},{"info":"number node, value=1456","layer":4},{"info":"compute binary expreesion, left_input=7363, right_input=1456, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3233414, 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 = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮6244≎⊠⪸⊺⇮1431)⩷∴(⊺⇮2842⊠≄⫣)⪒(⇁⨣⪵⊺⇮2299)⊴(⊺⇮7363∀⇚≩⊺⇮1456))⩠=NaN","reverse_text":"NaN=((⊺⇮6244≎⊠⪸⊺⇮1431)⩷∴(⊺⇮2842⊠≄⫣)⪒(⇁⨣⪵⊺⇮2299)⊴(⊺⇮7363∀⇚≩⊺⇮1456))⩠","cot":[{"info":"⊺⇮6244≎⊠⪸⊺⇮1431=⊺⇮1616723","layer":3},{"info":"⊺⇮2842⊠≄⫣=⊺⇮0","layer":3},{"info":"⊺⇮1616723⩷∴⊺⇮0=⊺⇮3233414","layer":2},{"info":"⇁⨣⪵⊺⇮2299=NaN","layer":3},{"info":"⊺⇮7363∀⇚≩⊺⇮1456=NaN","layer":3},{"info":"NaN⊴NaN=NaN","layer":2},{"info":"⊺⇮3233414⪒NaN=NaN","layer":1},{"info":"NaN⩠=NaN","layer":0}]}
{"id":119,"expression_no_base_symbol":"((↔(+⊝⨔$5738$))⇋≉)⨰(↩($7074$⇷$1234$↛⩡⫤))","expression":"((↔(+⊝⨔⊺⇮5738))⇋≉)⨰(↩(⊺⇮7074⇷⊺⇮1234↛⩡⫤))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":106656,"operation_count":7,"complexity_ratio":15236.57142857143,"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":5738,"base":10}}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":7074,"base":10},"right_expr":{"type":"numeric_atoms","value":1234,"base":10}}}}},"used_operators":["eewbuw0ToL","XIabStNQrY","ruOEQAzv1W","DhbWaqg5eL","jLgFTUHLKL","FU0Cs4j7VP","mp7IySMOzn"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⊺⇮-1480234","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5738","layer":4},{"info":"compute unary expreesion, input=5738, 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":"compute unary expreesion, input=-1249, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-2596","layer":1},{"info":"number node, value=7074","layer":4},{"info":"number node, value=1234","layer":4},{"info":"compute binary expreesion, left_input=7074, right_input=1234, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2468","layer":3},{"info":"compute unary expreesion, input=2468, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-368757","layer":2},{"info":"compute unary expreesion, input=-368757, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=1477648","layer":1},{"info":"compute binary expreesion, left_input=-2596, right_input=1477648, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1480234","layer":0}],"base":10,"result_base":10,"text":"((↔(+⊝⨔⊺⇮5738))⇋≉)⨰(↩(⊺⇮7074⇷⊺⇮1234↛⩡⫤))=⊺⇮-1480234","reverse_text":"⊺⇮-1480234=((↔(+⊝⨔⊺⇮5738))⇋≉)⨰(↩(⊺⇮7074⇷⊺⇮1234↛⩡⫤))","cot":[{"info":"+⊝⨔⊺⇮5738=⊺⇮1522","layer":3},{"info":"↔⊺⇮1522=⊺⇮-1249","layer":2},{"info":"⊺⇮-1249⇋≉=⊺⇮-2596","layer":1},{"info":"⊺⇮7074⇷⊺⇮1234=⊺⇮2468","layer":3},{"info":"⊺⇮2468↛⩡⫤=⊺⇮-368757","layer":2},{"info":"↩⊺⇮-368757=⊺⇮1477648","layer":1},{"info":"⊺⇮-2596⨰⊺⇮1477648=⊺⇮-1480234","layer":0}]}
{"id":120,"expression_no_base_symbol":"((↩$6709$)/$6421$⋓$1264$)⪮%⊝($4192$↬$1336$⋝⋈⪟($6704$+⇶⊼$1084$))*(($6111$*$1016$)⋝⋈⪟(≉$7054$)⊠≄⫣)","expression":"((↩⊺⇮6709)/⊺⇮6421⋓⊺⇮1264)⪮%⊝(⊺⇮4192↬⊺⇮1336⋝⋈⪟(⊺⇮6704+⇶⊼⊺⇮1084))*((⊺⇮6111*⊺⇮1016)⋝⋈⪟(≉⊺⇮7054)⊠≄⫣)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1069,"operation_count":12,"complexity_ratio":89.08333333333333,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":6709,"base":10}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":6421,"base":10},"right_expr":{"type":"numeric_atoms","value":1264,"base":10}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4192,"base":10},"right_expr":{"type":"numeric_atoms","value":1336,"base":10}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":6704,"base":10},"right_expr":{"type":"numeric_atoms","value":1084,"base":10}}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":6111,"base":10},"right_expr":{"type":"numeric_atoms","value":1016,"base":10}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":7054,"base":10}}}}},"used_operators":["9HNa5Wba9A","IWmyXbctLI","XhwjNDsVaA","jLgFTUHLKL","T2fj7uvVaJ","2DDjHMKMc0","B5M0gjZbta","TpPTUOHfaN","DIvbN7qnHd","e1ybzncUwg"],"dependent_operators":["W4YGzv6Whe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6709","layer":4},{"info":"compute unary expreesion, input=6709, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-50892","layer":3},{"info":"number node, value=6421","layer":4},{"info":"number node, value=1264","layer":4},{"info":"compute binary expreesion, left_input=6421, right_input=1264, op_id = T2fj7uvVaJ binary_op_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=-50892, right_input=0, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=4192","layer":4},{"info":"number node, value=1336","layer":4},{"info":"compute binary expreesion, left_input=4192, right_input=1336, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=6704","layer":4},{"info":"number node, value=1084","layer":4},{"info":"compute binary expreesion, left_input=6704, right_input=1084, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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 = 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 = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"number node, value=6111","layer":4},{"info":"number node, value=1016","layer":4},{"info":"compute binary expreesion, left_input=6111, right_input=1016, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=6208776","layer":3},{"info":"number node, value=7054","layer":4},{"info":"compute unary expreesion, input=7054, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=7585","layer":3},{"info":"compute binary expreesion, left_input=6208776, right_input=7585, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6208776","layer":2},{"info":"compute unary expreesion, input=6208776, 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 = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":10,"result_base":10,"text":"((↩⊺⇮6709)/⊺⇮6421⋓⊺⇮1264)⪮%⊝(⊺⇮4192↬⊺⇮1336⋝⋈⪟(⊺⇮6704+⇶⊼⊺⇮1084))*((⊺⇮6111*⊺⇮1016)⋝⋈⪟(≉⊺⇮7054)⊠≄⫣)=NaN","reverse_text":"NaN=((↩⊺⇮6709)/⊺⇮6421⋓⊺⇮1264)⪮%⊝(⊺⇮4192↬⊺⇮1336⋝⋈⪟(⊺⇮6704+⇶⊼⊺⇮1084))*((⊺⇮6111*⊺⇮1016)⋝⋈⪟(≉⊺⇮7054)⊠≄⫣)","cot":[{"info":"↩⊺⇮6709=⊺⇮-50892","layer":3},{"info":"⊺⇮6421⋓⊺⇮1264=⊺⇮0","layer":3},{"info":"⊺⇮-50892/⊺⇮0=NaN","layer":2},{"info":"⊺⇮4192↬⊺⇮1336=NaN","layer":3},{"info":"⊺⇮6704+⇶⊼⊺⇮1084=NaN","layer":3},{"info":"NaN⋝⋈⪟NaN=NaN","layer":2},{"info":"NaN⪮%⊝NaN=NaN","layer":1},{"info":"⊺⇮6111*⊺⇮1016=⊺⇮6208776","layer":3},{"info":"≉⊺⇮7054=⊺⇮7585","layer":3},{"info":"⊺⇮6208776⋝⋈⪟⊺⇮7585=⊺⇮6208776","layer":2},{"info":"⊺⇮6208776⊠≄⫣=⊺⇮0","layer":1},{"info":"NaN*⊺⇮0=NaN","layer":0}]}
{"id":121,"expression_no_base_symbol":"((+⊝⨔($2330$⪐))⩨((⇁⨣⪵$3885$)⇋≉))⨳⩥⨓(($2812$⊘)⩨(⩦⩻⨪$1247$))⨪↰⇹($1226$⨎$1918$⫡⨏$4477$⋝⋈⪟$1499$)","expression":"((+⊝⨔(⊺⇮2330⪐))⩨((⇁⨣⪵⊺⇮3885)⇋≉))⨳⩥⨓((⊺⇮2812⊘)⩨(⩦⩻⨪⊺⇮1247))⨪↰⇹(⊺⇮1226⨎⊺⇮1918⫡⨏⊺⇮4477⋝⋈⪟⊺⇮1499)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":91,"operation_count":13,"complexity_ratio":7.0,"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":2330,"base":10}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":3885,"base":10}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":2812,"base":10}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1247,"base":10}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1226,"base":10},"right_expr":{"type":"numeric_atoms","value":1918,"base":10}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4477,"base":10},"right_expr":{"type":"numeric_atoms","value":1499,"base":10}}}}},"used_operators":["nCS4ZIUYfx","2DlMacCsIx","DhbWaqg5eL","eH2TOUuTDT","XIabStNQrY","inkyxCbjAn","tmPS8pqC7x","gu96TGCTMs","2td37pGCOC","QMFrweE19q","rJVOvQCfKK","2DDjHMKMc0"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","rJVOvQCfKK","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2330","layer":4},{"info":"compute unary expreesion, input=2330, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=4660","layer":3},{"info":"compute unary expreesion, input=4660, 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=3885","layer":4},{"info":"compute unary expreesion, input=3885, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1522, 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=2812","layer":4},{"info":"compute unary expreesion, input=2812, 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=1247","layer":4},{"info":"compute unary expreesion, input=1247, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1247","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1247, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"number node, value=1226","layer":4},{"info":"number node, value=1918","layer":4},{"info":"compute binary expreesion, left_input=1226, right_input=1918, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1918","layer":3},{"info":"number node, value=4477","layer":4},{"info":"number node, value=1499","layer":4},{"info":"compute binary expreesion, left_input=4477, right_input=1499, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4477","layer":3},{"info":"compute binary expreesion, left_input=1918, right_input=4477, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=19327","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=19327, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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":10,"result_base":10,"text":"((+⊝⨔(⊺⇮2330⪐))⩨((⇁⨣⪵⊺⇮3885)⇋≉))⨳⩥⨓((⊺⇮2812⊘)⩨(⩦⩻⨪⊺⇮1247))⨪↰⇹(⊺⇮1226⨎⊺⇮1918⫡⨏⊺⇮4477⋝⋈⪟⊺⇮1499)=NaN","reverse_text":"NaN=((+⊝⨔(⊺⇮2330⪐))⩨((⇁⨣⪵⊺⇮3885)⇋≉))⨳⩥⨓((⊺⇮2812⊘)⩨(⩦⩻⨪⊺⇮1247))⨪↰⇹(⊺⇮1226⨎⊺⇮1918⫡⨏⊺⇮4477⋝⋈⪟⊺⇮1499)","cot":[{"info":"⊺⇮2330⪐=⊺⇮4660","layer":3},{"info":"+⊝⨔⊺⇮4660=⊺⇮1522","layer":2},{"info":"⇁⨣⪵⊺⇮3885=NaN","layer":3},{"info":"NaN⇋≉=NaN","layer":2},{"info":"⊺⇮1522⩨NaN=NaN","layer":1},{"info":"⊺⇮2812⊘=⊺⇮0","layer":3},{"info":"⩦⩻⨪⊺⇮1247=⊺⇮1247","layer":3},{"info":"⊺⇮0⩨⊺⇮1247=NaN","layer":2},{"info":"⊺⇮1226⨎⊺⇮1918=⊺⇮1918","layer":3},{"info":"⊺⇮4477⋝⋈⪟⊺⇮1499=⊺⇮4477","layer":3},{"info":"⊺⇮1918⫡⨏⊺⇮4477=⊺⇮19327","layer":2},{"info":"NaN⨪↰⇹⊺⇮19327=NaN","layer":1},{"info":"NaN⨳⩥⨓NaN=NaN","layer":0}]}
{"id":122,"expression_no_base_symbol":"(⊄⩳↩(⨑⩽⪐$6070$⩚⊴⇥$1623$))⋷(⊥$2796$)∀⇚≩$3906$⪢$4890$∑⇟⊟($1651$↬$3461$⪨≂(⫓⪴$2823$))","expression":"(⊄⩳↩(⨑⩽⪐⊺⇮6070⩚⊴⇥⊺⇮1623))⋷(⊥⊺⇮2796)∀⇚≩⊺⇮3906⪢⊺⇮4890∑⇟⊟(⊺⇮1651↬⊺⇮3461⪨≂(⫓⪴⊺⇮2823))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":7737,"operation_count":11,"complexity_ratio":703.3636363636364,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":6070,"base":10},"right_expr":{"type":"numeric_atoms","value":1623,"base":10}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":2796,"base":10}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3906,"base":10},"right_expr":{"type":"numeric_atoms","value":4890,"base":10}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1651,"base":10},"right_expr":{"type":"numeric_atoms","value":3461,"base":10}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2823,"base":10}}}}},"used_operators":["23Mk6UjR3U","8w2t5hMYqp","AF7qkfDlqP","NTOWxs364D","U7g4x0WXJJ","LRNGc0VcxI","Q3PJZHRvZv","dWAJyo7jo9","sdazOOVcIp","B5M0gjZbta","eLxqMNBOBk"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","X99M06cbEe","fu6greOZ01","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","9HNa5Wba9A"],"result":"⊺⇮98502","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6070","layer":4},{"info":"number node, value=1623","layer":4},{"info":"compute binary expreesion, left_input=6070, right_input=1623, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7814","layer":3},{"info":"compute unary expreesion, input=-7814, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=16417","layer":2},{"info":"compute unary expreesion, input=16417, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-49251","layer":1},{"info":"number node, value=2796","layer":4},{"info":"compute unary expreesion, input=2796, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=3906","layer":4},{"info":"number node, value=4890","layer":4},{"info":"compute binary expreesion, left_input=3906, right_input=4890, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1651","layer":4},{"info":"number node, value=3461","layer":4},{"info":"compute binary expreesion, left_input=1651, right_input=3461, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=2823","layer":4},{"info":"compute unary expreesion, input=2823, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=7969329","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7969329, op_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 = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-49251, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=98502","layer":0}],"base":10,"result_base":10,"text":"(⊄⩳↩(⨑⩽⪐⊺⇮6070⩚⊴⇥⊺⇮1623))⋷(⊥⊺⇮2796)∀⇚≩⊺⇮3906⪢⊺⇮4890∑⇟⊟(⊺⇮1651↬⊺⇮3461⪨≂(⫓⪴⊺⇮2823))=⊺⇮98502","reverse_text":"⊺⇮98502=(⊄⩳↩(⨑⩽⪐⊺⇮6070⩚⊴⇥⊺⇮1623))⋷(⊥⊺⇮2796)∀⇚≩⊺⇮3906⪢⊺⇮4890∑⇟⊟(⊺⇮1651↬⊺⇮3461⪨≂(⫓⪴⊺⇮2823))","cot":[{"info":"⊺⇮6070⩚⊴⇥⊺⇮1623=⊺⇮-7814","layer":3},{"info":"⨑⩽⪐⊺⇮-7814=⊺⇮16417","layer":2},{"info":"⊄⩳↩⊺⇮16417=⊺⇮-49251","layer":1},{"info":"⊥⊺⇮2796=NaN","layer":3},{"info":"⊺⇮3906⪢⊺⇮4890=NaN","layer":3},{"info":"NaN∀⇚≩NaN=NaN","layer":2},{"info":"⊺⇮1651↬⊺⇮3461=NaN","layer":3},{"info":"⫓⪴⊺⇮2823=⊺⇮7969329","layer":3},{"info":"NaN⪨≂⊺⇮7969329=NaN","layer":2},{"info":"NaN∑⇟⊟NaN=NaN","layer":1},{"info":"⊺⇮-49251⋷NaN=⊺⇮98502","layer":0}]}
{"id":123,"expression_no_base_symbol":"((∥⊫$5715$)⊴($2262$⨪↰⇹$1692$)∲⫓$4274$⨳⩥⨓$6620$⩨(⨈⫕$2704$))⨐⩸⫘(($2536$⫌⩹⨱)⫸⊐$4404$≭$1034$)⨽($3260$+$1859$)⪘⫢(↩$2208$)","expression":"((∥⊫⊺⇮5715)⊴(⊺⇮2262⨪↰⇹⊺⇮1692)∲⫓⊺⇮4274⨳⩥⨓⊺⇮6620⩨(⨈⫕⊺⇮2704))⨐⩸⫘((⊺⇮2536⫌⩹⨱)⫸⊐⊺⇮4404≭⊺⇮1034)⨽(⊺⇮3260+⊺⇮1859)⪘⫢(↩⊺⇮2208)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5425,"operation_count":15,"complexity_ratio":361.6666666666667,"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":5715,"base":10}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2262,"base":10},"right_expr":{"type":"numeric_atoms","value":1692,"base":10}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4274,"base":10},"right_expr":{"type":"numeric_atoms","value":6620,"base":10}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2704,"base":10}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":2536,"base":10}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4404,"base":10},"right_expr":{"type":"numeric_atoms","value":1034,"base":10}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3260,"base":10},"right_expr":{"type":"numeric_atoms","value":1859,"base":10}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":2208,"base":10}}}}},"used_operators":["fu6greOZ01","i8ToyICDmI","Nsiff2A1zJ","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","nCS4ZIUYfx","megm06wKyl","8HhzD0ZcuI","mqXw5SEYmG","EBcxylXtPf","rxpJgHHUmx","oacrs7FA3X","W4YGzv6Whe","jLgFTUHLKL"],"dependent_operators":["3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5715","layer":4},{"info":"compute unary expreesion, input=5715, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=6583","layer":3},{"info":"number node, value=2262","layer":4},{"info":"number node, value=1692","layer":4},{"info":"compute binary expreesion, left_input=2262, right_input=1692, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2262","layer":3},{"info":"compute binary expreesion, left_input=6583, right_input=2262, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=4274","layer":4},{"info":"number node, value=6620","layer":4},{"info":"compute binary expreesion, left_input=4274, right_input=6620, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2346","layer":3},{"info":"number node, value=2704","layer":4},{"info":"compute unary expreesion, input=2704, 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=2346, right_input=-21, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=3","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":1},{"info":"number node, value=2536","layer":4},{"info":"compute unary expreesion, input=2536, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=6473","layer":3},{"info":"number node, value=4404","layer":4},{"info":"number node, value=1034","layer":4},{"info":"compute binary expreesion, left_input=4404, right_input=1034, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=6473, 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=3260","layer":4},{"info":"number node, value=1859","layer":4},{"info":"compute binary expreesion, left_input=3260, right_input=1859, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5119","layer":3},{"info":"number node, value=2208","layer":4},{"info":"compute unary expreesion, input=2208, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-14884","layer":3},{"info":"compute binary expreesion, left_input=5119, right_input=-14884, 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 = 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":10,"result_base":10,"text":"((∥⊫⊺⇮5715)⊴(⊺⇮2262⨪↰⇹⊺⇮1692)∲⫓⊺⇮4274⨳⩥⨓⊺⇮6620⩨(⨈⫕⊺⇮2704))⨐⩸⫘((⊺⇮2536⫌⩹⨱)⫸⊐⊺⇮4404≭⊺⇮1034)⨽(⊺⇮3260+⊺⇮1859)⪘⫢(↩⊺⇮2208)=NaN","reverse_text":"NaN=((∥⊫⊺⇮5715)⊴(⊺⇮2262⨪↰⇹⊺⇮1692)∲⫓⊺⇮4274⨳⩥⨓⊺⇮6620⩨(⨈⫕⊺⇮2704))⨐⩸⫘((⊺⇮2536⫌⩹⨱)⫸⊐⊺⇮4404≭⊺⇮1034)⨽(⊺⇮3260+⊺⇮1859)⪘⫢(↩⊺⇮2208)","cot":[{"info":"∥⊫⊺⇮5715=⊺⇮6583","layer":3},{"info":"⊺⇮2262⨪↰⇹⊺⇮1692=⊺⇮2262","layer":3},{"info":"⊺⇮6583⊴⊺⇮2262=NaN","layer":2},{"info":"⊺⇮4274⨳⩥⨓⊺⇮6620=⊺⇮2346","layer":3},{"info":"⨈⫕⊺⇮2704=⊺⇮-21","layer":3},{"info":"⊺⇮2346⩨⊺⇮-21=⊺⇮3","layer":2},{"info":"NaN∲⫓⊺⇮3=NaN","layer":1},{"info":"⊺⇮2536⫌⩹⨱=⊺⇮6473","layer":3},{"info":"⊺⇮4404≭⊺⇮1034=NaN","layer":3},{"info":"⊺⇮6473⫸⊐NaN=NaN","layer":2},{"info":"⊺⇮3260+⊺⇮1859=⊺⇮5119","layer":3},{"info":"↩⊺⇮2208=⊺⇮-14884","layer":3},{"info":"⊺⇮5119⪘⫢⊺⇮-14884=⊺⇮-1","layer":2},{"info":"NaN⨽⊺⇮-1=NaN","layer":1},{"info":"NaN⨐⩸⫘NaN=NaN","layer":0}]}
{"id":124,"expression_no_base_symbol":"↯⪼((↔(⨞⊢$1116$))⊭∹↮)","expression":"↯⪼((↔(⨞⊢⊺⇮1116))⊭∹↮)","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":56,"operation_count":4,"complexity_ratio":14.0,"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":1116,"base":10}}}}},"used_operators":["8jW3W4yZS5","xNBdhnnwKq","ruOEQAzv1W","xUOZtlo3hN"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮-21","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1116","layer":4},{"info":"compute unary expreesion, input=1116, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1290","layer":3},{"info":"compute unary expreesion, input=-1290, 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 = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', 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":10,"result_base":10,"text":"↯⪼((↔(⨞⊢⊺⇮1116))⊭∹↮)=⊺⇮-21","reverse_text":"⊺⇮-21=↯⪼((↔(⨞⊢⊺⇮1116))⊭∹↮)","cot":[{"info":"⨞⊢⊺⇮1116=⊺⇮-1290","layer":3},{"info":"↔⊺⇮-1290=⊺⇮-134","layer":2},{"info":"⊺⇮-134⊭∹↮=⊺⇮-134","layer":1},{"info":"↯⪼⊺⇮-134=⊺⇮-21","layer":0}]}
{"id":125,"expression_no_base_symbol":"($1831$⋝⋈⪟$4245$)⨓($2139$⨵⪆$4214$)⨓(⋗⩬⋾$3363$)⪘⫢(⊙↵-$1561$)+($1364$⊉≛↸$4122$)⪮%⊝($1003$↙$1766$)⊭↱(-(⨵≀≌$4388$))","expression":"(⊺⇮1831⋝⋈⪟⊺⇮4245)⨓(⊺⇮2139⨵⪆⊺⇮4214)⨓(⋗⩬⋾⊺⇮3363)⪘⫢(⊙↵-⊺⇮1561)+(⊺⇮1364⊉≛↸⊺⇮4122)⪮%⊝(⊺⇮1003↙⊺⇮1766)⊭↱(-(⨵≀≌⊺⇮4388))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3587,"operation_count":14,"complexity_ratio":256.2142857142857,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1831,"base":10},"right_expr":{"type":"numeric_atoms","value":4245,"base":10}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2139,"base":10},"right_expr":{"type":"numeric_atoms","value":4214,"base":10}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":3363,"base":10}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1561,"base":10}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1364,"base":10},"right_expr":{"type":"numeric_atoms","value":4122,"base":10}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1003,"base":10},"right_expr":{"type":"numeric_atoms","value":1766,"base":10}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":4388,"base":10}}}}},"used_operators":["W4YGzv6Whe","3ViojmjbAp","2DDjHMKMc0","2DQ55sFlQl","oacrs7FA3X","DpFCA1CohY","oWn0xqSxBt","COABgblf1C","IWmyXbctLI","DZ8iAZOCBD","yyfyN0ffXY","t8gj7n24qd","srAu1WTS94"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"⊺⇮14785","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1831","layer":4},{"info":"number node, value=4245","layer":4},{"info":"compute binary expreesion, left_input=1831, right_input=4245, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1831","layer":3},{"info":"number node, value=2139","layer":4},{"info":"number node, value=4214","layer":4},{"info":"compute binary expreesion, left_input=2139, right_input=4214, 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=1831, right_input=160, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-163","layer":2},{"info":"number node, value=3363","layer":4},{"info":"compute unary expreesion, input=3363, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-10089","layer":3},{"info":"number node, value=1561","layer":4},{"info":"compute unary expreesion, input=1561, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=-10089, right_input=-1, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=-163, right_input=-1, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4","layer":1},{"info":"number node, value=1364","layer":4},{"info":"number node, value=4122","layer":4},{"info":"compute binary expreesion, left_input=1364, right_input=4122, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2728","layer":3},{"info":"number node, value=1003","layer":4},{"info":"number node, value=1766","layer":4},{"info":"compute binary expreesion, left_input=1003, right_input=1766, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5298","layer":3},{"info":"compute binary expreesion, left_input=2728, right_input=-5298, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5772","layer":2},{"info":"number node, value=4388","layer":4},{"info":"compute unary expreesion, input=4388, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-13164","layer":3},{"info":"compute unary expreesion, input=-13164, op_id = t8gj7n24qd, unary_op_definition = 'None', output=13164","layer":2},{"info":"compute binary expreesion, left_input=5772, right_input=13164, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=14789","layer":1},{"info":"compute binary expreesion, left_input=-4, right_input=14789, op_id = W4YGzv6Whe binary_op_definition= 'None', output=14785","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1831⋝⋈⪟⊺⇮4245)⨓(⊺⇮2139⨵⪆⊺⇮4214)⨓(⋗⩬⋾⊺⇮3363)⪘⫢(⊙↵-⊺⇮1561)+(⊺⇮1364⊉≛↸⊺⇮4122)⪮%⊝(⊺⇮1003↙⊺⇮1766)⊭↱(-(⨵≀≌⊺⇮4388))=⊺⇮14785","reverse_text":"⊺⇮14785=(⊺⇮1831⋝⋈⪟⊺⇮4245)⨓(⊺⇮2139⨵⪆⊺⇮4214)⨓(⋗⩬⋾⊺⇮3363)⪘⫢(⊙↵-⊺⇮1561)+(⊺⇮1364⊉≛↸⊺⇮4122)⪮%⊝(⊺⇮1003↙⊺⇮1766)⊭↱(-(⨵≀≌⊺⇮4388))","cot":[{"info":"⊺⇮1831⋝⋈⪟⊺⇮4245=⊺⇮1831","layer":3},{"info":"⊺⇮2139⨵⪆⊺⇮4214=⊺⇮160","layer":3},{"info":"⊺⇮1831⨓⊺⇮160=⊺⇮-163","layer":2},{"info":"⋗⩬⋾⊺⇮3363=⊺⇮-10089","layer":3},{"info":"⊙↵-⊺⇮1561=⊺⇮-1","layer":3},{"info":"⊺⇮-10089⪘⫢⊺⇮-1=⊺⇮-1","layer":2},{"info":"⊺⇮-163⨓⊺⇮-1=⊺⇮-4","layer":1},{"info":"⊺⇮1364⊉≛↸⊺⇮4122=⊺⇮2728","layer":3},{"info":"⊺⇮1003↙⊺⇮1766=⊺⇮-5298","layer":3},{"info":"⊺⇮2728⪮%⊝⊺⇮-5298=⊺⇮5772","layer":2},{"info":"⨵≀≌⊺⇮4388=⊺⇮-13164","layer":3},{"info":"-⊺⇮-13164=⊺⇮13164","layer":2},{"info":"⊺⇮5772⊭↱⊺⇮13164=⊺⇮14789","layer":1},{"info":"⊺⇮-4+⊺⇮14789=⊺⇮14785","layer":0}]}
{"id":126,"expression_no_base_symbol":"$5134$≹⇙⪍$1418$+⇶⊼($9014$⪨≂$2119$)≭(($2198$⨵⪆$6828$)⫥∨⫟($2035$≣⋋))⇼⇔∾((↽≂$4809$)/($5375$⨁⊸⫻))⇷(($1065$-$2110$)⋝⋈⪟(⊄⩳↩$5813$))","expression":"⊺⇮5134≹⇙⪍⊺⇮1418+⇶⊼(⊺⇮9014⪨≂⊺⇮2119)≭((⊺⇮2198⨵⪆⊺⇮6828)⫥∨⫟(⊺⇮2035≣⋋))⇼⇔∾((↽≂⊺⇮4809)/(⊺⇮5375⨁⊸⫻))⇷((⊺⇮1065-⊺⇮2110)⋝⋈⪟(⊄⩳↩⊺⇮5813))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":727,"operation_count":15,"complexity_ratio":48.46666666666667,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5134,"base":10},"right_expr":{"type":"numeric_atoms","value":1418,"base":10}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":9014,"base":10},"right_expr":{"type":"numeric_atoms","value":2119,"base":10}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2198,"base":10},"right_expr":{"type":"numeric_atoms","value":6828,"base":10}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":2035,"base":10}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":4809,"base":10}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":5375,"base":10}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1065,"base":10},"right_expr":{"type":"numeric_atoms","value":2110,"base":10}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":5813,"base":10}}}}},"used_operators":["tifHPKVTfV","rxpJgHHUmx","TpPTUOHfaN","AHs5Up7iyr","sdazOOVcIp","KYD54nUTWz","2DQ55sFlQl","Tcnh7f0tEr","mp7IySMOzn","XhwjNDsVaA","u6S6b8DprG","glklzrTFfD","2DDjHMKMc0","rysDP5nf3Z","8w2t5hMYqp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","AHs5Up7iyr","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5134","layer":4},{"info":"number node, value=1418","layer":4},{"info":"compute binary expreesion, left_input=5134, right_input=1418, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=9014","layer":4},{"info":"number node, value=2119","layer":4},{"info":"compute binary expreesion, left_input=9014, right_input=2119, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=13892","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=13892, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=2198","layer":4},{"info":"number node, value=6828","layer":4},{"info":"compute binary expreesion, left_input=2198, right_input=6828, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=2035","layer":4},{"info":"compute unary expreesion, input=2035, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = 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 = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=4809","layer":4},{"info":"compute unary expreesion, input=4809, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-9618","layer":3},{"info":"number node, value=5375","layer":4},{"info":"compute unary expreesion, input=5375, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=5375","layer":3},{"info":"compute binary expreesion, left_input=-9618, right_input=5375, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-2","layer":2},{"info":"number node, value=1065","layer":4},{"info":"number node, value=2110","layer":4},{"info":"compute binary expreesion, left_input=1065, right_input=2110, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1045","layer":3},{"info":"number node, value=5813","layer":4},{"info":"compute unary expreesion, input=5813, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-17439","layer":3},{"info":"compute binary expreesion, left_input=-1045, right_input=-17439, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-1045","layer":2},{"info":"compute binary expreesion, left_input=-2, right_input=-1045, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=-7101","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-7101, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⊺⇮5134≹⇙⪍⊺⇮1418+⇶⊼(⊺⇮9014⪨≂⊺⇮2119)≭((⊺⇮2198⨵⪆⊺⇮6828)⫥∨⫟(⊺⇮2035≣⋋))⇼⇔∾((↽≂⊺⇮4809)/(⊺⇮5375⨁⊸⫻))⇷((⊺⇮1065-⊺⇮2110)⋝⋈⪟(⊄⩳↩⊺⇮5813))=NaN","reverse_text":"NaN=⊺⇮5134≹⇙⪍⊺⇮1418+⇶⊼(⊺⇮9014⪨≂⊺⇮2119)≭((⊺⇮2198⨵⪆⊺⇮6828)⫥∨⫟(⊺⇮2035≣⋋))⇼⇔∾((↽≂⊺⇮4809)/(⊺⇮5375⨁⊸⫻))⇷((⊺⇮1065-⊺⇮2110)⋝⋈⪟(⊄⩳↩⊺⇮5813))","cot":[{"info":"⊺⇮5134≹⇙⪍⊺⇮1418=NaN","layer":3},{"info":"⊺⇮9014⪨≂⊺⇮2119=⊺⇮13892","layer":3},{"info":"NaN+⇶⊼⊺⇮13892=NaN","layer":2},{"info":"⊺⇮2198⨵⪆⊺⇮6828=⊺⇮160","layer":3},{"info":"⊺⇮2035≣⋋=⊺⇮0","layer":3},{"info":"⊺⇮160⫥∨⫟⊺⇮0=NaN","layer":2},{"info":"NaN≭NaN=NaN","layer":1},{"info":"↽≂⊺⇮4809=⊺⇮-9618","layer":3},{"info":"⊺⇮5375⨁⊸⫻=⊺⇮5375","layer":3},{"info":"⊺⇮-9618/⊺⇮5375=⊺⇮-2","layer":2},{"info":"⊺⇮1065-⊺⇮2110=⊺⇮-1045","layer":3},{"info":"⊄⩳↩⊺⇮5813=⊺⇮-17439","layer":3},{"info":"⊺⇮-1045⋝⋈⪟⊺⇮-17439=⊺⇮-1045","layer":2},{"info":"⊺⇮-2⇷⊺⇮-1045=⊺⇮-7101","layer":1},{"info":"NaN⇼⇔∾⊺⇮-7101=NaN","layer":0}]}
{"id":127,"expression_no_base_symbol":"(($1312$%$1923$)⩚⊴⇥($2350$⨽$2581$)↺($1003$+$4169$)⫥∨⫟$2255$⨟⋌⩍$1197$)≦≮≮","expression":"((⊺⇮1312%⊺⇮1923)⩚⊴⇥(⊺⇮2350⨽⊺⇮2581)↺(⊺⇮1003+⊺⇮4169)⫥∨⫟⊺⇮2255⨟⋌⩍⊺⇮1197)≦≮≮","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2524,"operation_count":8,"complexity_ratio":315.5,"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":1312,"base":10},"right_expr":{"type":"numeric_atoms","value":1923,"base":10}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2350,"base":10},"right_expr":{"type":"numeric_atoms","value":2581,"base":10}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1003,"base":10},"right_expr":{"type":"numeric_atoms","value":4169,"base":10}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2255,"base":10},"right_expr":{"type":"numeric_atoms","value":1197,"base":10}}}}},"used_operators":["D4vGDi5EA2","7j4O788W3g","NTOWxs364D","k8jYdgA6NY","8HhzD0ZcuI","KYD54nUTWz","W4YGzv6Whe","rGHVDoGpnC"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","8HhzD0ZcuI","rGHVDoGpnC","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1312","layer":4},{"info":"number node, value=1923","layer":4},{"info":"compute binary expreesion, left_input=1312, right_input=1923, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1312","layer":3},{"info":"number node, value=2350","layer":4},{"info":"number node, value=2581","layer":4},{"info":"compute binary expreesion, left_input=2350, right_input=2581, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-16573929","layer":3},{"info":"compute binary expreesion, left_input=1312, right_input=-16573929, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=16572496","layer":2},{"info":"number node, value=1003","layer":4},{"info":"number node, value=4169","layer":4},{"info":"compute binary expreesion, left_input=1003, right_input=4169, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5172","layer":3},{"info":"number node, value=2255","layer":4},{"info":"number node, value=1197","layer":4},{"info":"compute binary expreesion, left_input=2255, right_input=1197, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=5172, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=16572496, 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 = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1312%⊺⇮1923)⩚⊴⇥(⊺⇮2350⨽⊺⇮2581)↺(⊺⇮1003+⊺⇮4169)⫥∨⫟⊺⇮2255⨟⋌⩍⊺⇮1197)≦≮≮=NaN","reverse_text":"NaN=((⊺⇮1312%⊺⇮1923)⩚⊴⇥(⊺⇮2350⨽⊺⇮2581)↺(⊺⇮1003+⊺⇮4169)⫥∨⫟⊺⇮2255⨟⋌⩍⊺⇮1197)≦≮≮","cot":[{"info":"⊺⇮1312%⊺⇮1923=⊺⇮1312","layer":3},{"info":"⊺⇮2350⨽⊺⇮2581=⊺⇮-16573929","layer":3},{"info":"⊺⇮1312⩚⊴⇥⊺⇮-16573929=⊺⇮16572496","layer":2},{"info":"⊺⇮1003+⊺⇮4169=⊺⇮5172","layer":3},{"info":"⊺⇮2255⨟⋌⩍⊺⇮1197=NaN","layer":3},{"info":"⊺⇮5172⫥∨⫟NaN=NaN","layer":2},{"info":"⊺⇮16572496↺NaN=NaN","layer":1},{"info":"NaN≦≮≮=NaN","layer":0}]}
{"id":128,"expression_no_base_symbol":"((≤/$1189$)⋓($1020$⋳⪒$1577$))⪢(($8061$⋷$3233$)⪘⫢($1029$↺$1899$))≭((⨑⩽⪐($4894$-$3087$))/($7216$-$1457$)⊴($1834$≭$2413$))","expression":"((≤/⊺⇮1189)⋓(⊺⇮1020⋳⪒⊺⇮1577))⪢((⊺⇮8061⋷⊺⇮3233)⪘⫢(⊺⇮1029↺⊺⇮1899))≭((⨑⩽⪐(⊺⇮4894-⊺⇮3087))/(⊺⇮7216-⊺⇮1457)⊴(⊺⇮1834≭⊺⇮2413))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":52,"operation_count":14,"complexity_ratio":3.7142857142857144,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1189,"base":10}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1020,"base":10},"right_expr":{"type":"numeric_atoms","value":1577,"base":10}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":8061,"base":10},"right_expr":{"type":"numeric_atoms","value":3233,"base":10}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1029,"base":10},"right_expr":{"type":"numeric_atoms","value":1899,"base":10}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4894,"base":10},"right_expr":{"type":"numeric_atoms","value":3087,"base":10}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":7216,"base":10},"right_expr":{"type":"numeric_atoms","value":1457,"base":10}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1834,"base":10},"right_expr":{"type":"numeric_atoms","value":2413,"base":10}}}}},"used_operators":["rxpJgHHUmx","dWAJyo7jo9","T2fj7uvVaJ","eLAdDNolq6","12rbrZMWeM","oacrs7FA3X","23Mk6UjR3U","7j4O788W3g","XhwjNDsVaA","AF7qkfDlqP","rysDP5nf3Z","Nsiff2A1zJ"],"dependent_operators":["AHs5Up7iyr","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1189","layer":4},{"info":"compute unary expreesion, input=1189, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-705","layer":3},{"info":"number node, value=1020","layer":4},{"info":"number node, value=1577","layer":4},{"info":"compute binary expreesion, left_input=1020, right_input=1577, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=176","layer":3},{"info":"compute binary expreesion, left_input=-705, right_input=176, op_id = T2fj7uvVaJ binary_op_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=8061","layer":4},{"info":"number node, value=3233","layer":4},{"info":"compute binary expreesion, left_input=8061, right_input=3233, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-1595","layer":3},{"info":"number node, value=1029","layer":4},{"info":"number node, value=1899","layer":4},{"info":"compute binary expreesion, left_input=1029, right_input=1899, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1899","layer":3},{"info":"compute binary expreesion, left_input=-1595, right_input=1899, 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=0, right_input=-1, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=0","layer":1},{"info":"number node, value=4894","layer":4},{"info":"number node, value=3087","layer":4},{"info":"compute binary expreesion, left_input=4894, right_input=3087, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1807","layer":3},{"info":"compute unary expreesion, input=1807, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1534","layer":2},{"info":"number node, value=7216","layer":4},{"info":"number node, value=1457","layer":4},{"info":"compute binary expreesion, left_input=7216, right_input=1457, op_id = rysDP5nf3Z binary_op_definition= 'None', output=5759","layer":3},{"info":"number node, value=1834","layer":4},{"info":"number node, value=2413","layer":4},{"info":"compute binary expreesion, left_input=1834, right_input=2413, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=5759, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1534, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":10,"result_base":10,"text":"((≤/⊺⇮1189)⋓(⊺⇮1020⋳⪒⊺⇮1577))⪢((⊺⇮8061⋷⊺⇮3233)⪘⫢(⊺⇮1029↺⊺⇮1899))≭((⨑⩽⪐(⊺⇮4894-⊺⇮3087))/(⊺⇮7216-⊺⇮1457)⊴(⊺⇮1834≭⊺⇮2413))=NaN","reverse_text":"NaN=((≤/⊺⇮1189)⋓(⊺⇮1020⋳⪒⊺⇮1577))⪢((⊺⇮8061⋷⊺⇮3233)⪘⫢(⊺⇮1029↺⊺⇮1899))≭((⨑⩽⪐(⊺⇮4894-⊺⇮3087))/(⊺⇮7216-⊺⇮1457)⊴(⊺⇮1834≭⊺⇮2413))","cot":[{"info":"≤/⊺⇮1189=⊺⇮-705","layer":3},{"info":"⊺⇮1020⋳⪒⊺⇮1577=⊺⇮176","layer":3},{"info":"⊺⇮-705⋓⊺⇮176=⊺⇮0","layer":2},{"info":"⊺⇮8061⋷⊺⇮3233=⊺⇮-1595","layer":3},{"info":"⊺⇮1029↺⊺⇮1899=⊺⇮1899","layer":3},{"info":"⊺⇮-1595⪘⫢⊺⇮1899=⊺⇮-1","layer":2},{"info":"⊺⇮0⪢⊺⇮-1=⊺⇮0","layer":1},{"info":"⊺⇮4894-⊺⇮3087=⊺⇮1807","layer":3},{"info":"⨑⩽⪐⊺⇮1807=⊺⇮-1534","layer":2},{"info":"⊺⇮7216-⊺⇮1457=⊺⇮5759","layer":3},{"info":"⊺⇮1834≭⊺⇮2413=NaN","layer":3},{"info":"⊺⇮5759⊴NaN=NaN","layer":2},{"info":"⊺⇮-1534/NaN=NaN","layer":1},{"info":"⊺⇮0≭NaN=NaN","layer":0}]}
{"id":129,"expression_no_base_symbol":"(((⫛⫱⨽$4603$)↪⪝)⪮%⊝((≤/$5607$)⩨($4700$⫩⊇)))⪢(((≤/$1659$)*($3161$⇼⇔∾$3003$))≧⫂∧($6711$⇷$1530$⨎$1541$∑⇟⊟$1186$))","expression":"(((⫛⫱⨽⊺⇮4603)↪⪝)⪮%⊝((≤/⊺⇮5607)⩨(⊺⇮4700⫩⊇)))⪢(((≤/⊺⇮1659)*(⊺⇮3161⇼⇔∾⊺⇮3003))≧⫂∧(⊺⇮6711⇷⊺⇮1530⨎⊺⇮1541∑⇟⊟⊺⇮1186))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":95568,"operation_count":14,"complexity_ratio":6826.285714285715,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":4603,"base":10}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":5607,"base":10}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":4700,"base":10}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1659,"base":10}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3161,"base":10},"right_expr":{"type":"numeric_atoms","value":3003,"base":10}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":6711,"base":10},"right_expr":{"type":"numeric_atoms","value":1530,"base":10}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1541,"base":10},"right_expr":{"type":"numeric_atoms","value":1186,"base":10}}}}},"used_operators":["dWAJyo7jo9","IWmyXbctLI","l07mrZUIn9","DlLNRPXxWL","2DlMacCsIx","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","9HNa5Wba9A","tifHPKVTfV","rJVOvQCfKK","mp7IySMOzn","U7g4x0WXJJ"],"dependent_operators":["k8jYdgA6NY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","9HNa5Wba9A","2DDjHMKMc0","rGHVDoGpnC","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4603","layer":4},{"info":"compute unary expreesion, input=4603, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=0","layer":2},{"info":"number node, value=5607","layer":4},{"info":"compute unary expreesion, input=5607, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-5123","layer":3},{"info":"number node, value=4700","layer":4},{"info":"compute unary expreesion, input=4700, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-4658","layer":3},{"info":"compute binary expreesion, left_input=-5123, right_input=-4658, 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=0, right_input=0, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"number node, value=1659","layer":4},{"info":"compute unary expreesion, input=1659, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1175","layer":3},{"info":"number node, value=3161","layer":4},{"info":"number node, value=3003","layer":4},{"info":"compute binary expreesion, left_input=3161, right_input=3003, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-158","layer":3},{"info":"compute binary expreesion, left_input=-1175, right_input=-158, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=185650","layer":2},{"info":"number node, value=6711","layer":4},{"info":"number node, value=1530","layer":4},{"info":"compute binary expreesion, left_input=6711, right_input=1530, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3060","layer":3},{"info":"number node, value=1541","layer":4},{"info":"number node, value=1186","layer":4},{"info":"compute binary expreesion, left_input=1541, right_input=1186, 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=3060, 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=185650, 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 = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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":10,"result_base":10,"text":"(((⫛⫱⨽⊺⇮4603)↪⪝)⪮%⊝((≤/⊺⇮5607)⩨(⊺⇮4700⫩⊇)))⪢(((≤/⊺⇮1659)*(⊺⇮3161⇼⇔∾⊺⇮3003))≧⫂∧(⊺⇮6711⇷⊺⇮1530⨎⊺⇮1541∑⇟⊟⊺⇮1186))=NaN","reverse_text":"NaN=(((⫛⫱⨽⊺⇮4603)↪⪝)⪮%⊝((≤/⊺⇮5607)⩨(⊺⇮4700⫩⊇)))⪢(((≤/⊺⇮1659)*(⊺⇮3161⇼⇔∾⊺⇮3003))≧⫂∧(⊺⇮6711⇷⊺⇮1530⨎⊺⇮1541∑⇟⊟⊺⇮1186))","cot":[{"info":"⫛⫱⨽⊺⇮4603=⊺⇮0","layer":3},{"info":"⊺⇮0↪⪝=⊺⇮0","layer":2},{"info":"≤/⊺⇮5607=⊺⇮-5123","layer":3},{"info":"⊺⇮4700⫩⊇=⊺⇮-4658","layer":3},{"info":"⊺⇮-5123⩨⊺⇮-4658=⊺⇮0","layer":2},{"info":"⊺⇮0⪮%⊝⊺⇮0=NaN","layer":1},{"info":"≤/⊺⇮1659=⊺⇮-1175","layer":3},{"info":"⊺⇮3161⇼⇔∾⊺⇮3003=⊺⇮-158","layer":3},{"info":"⊺⇮-1175*⊺⇮-158=⊺⇮185650","layer":2},{"info":"⊺⇮6711⇷⊺⇮1530=⊺⇮3060","layer":3},{"info":"⊺⇮1541∑⇟⊟⊺⇮1186=NaN","layer":3},{"info":"⊺⇮3060⨎NaN=NaN","layer":2},{"info":"⊺⇮185650≧⫂∧NaN=NaN","layer":1},{"info":"NaN⪢NaN=NaN","layer":0}]}
{"id":130,"expression_no_base_symbol":"≦∁($4624$⪒$2024$)↬($1201$↺$1767$)≎⊠⪸($1680$↬$3464$≣⋋)","expression":"≦∁(⊺⇮4624⪒⊺⇮2024)↬(⊺⇮1201↺⊺⇮1767)≎⊠⪸(⊺⇮1680↬⊺⇮3464≣⋋)","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":46,"operation_count":7,"complexity_ratio":6.571428571428571,"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":4624,"base":10},"right_expr":{"type":"numeric_atoms","value":2024,"base":10}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1201,"base":10},"right_expr":{"type":"numeric_atoms","value":1767,"base":10}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1680,"base":10},"right_expr":{"type":"numeric_atoms","value":3464,"base":10}}}}},"used_operators":["9ICcGScMcE","bJkvcejdHO","B5M0gjZbta","f6k1SAg4EE","7j4O788W3g","Tcnh7f0tEr"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"⊺⇮-1124","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4624","layer":4},{"info":"number node, value=2024","layer":4},{"info":"compute binary expreesion, left_input=4624, right_input=2024, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6648","layer":3},{"info":"number node, value=1201","layer":4},{"info":"number node, value=1767","layer":4},{"info":"compute binary expreesion, left_input=1201, right_input=1767, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1767","layer":3},{"info":"compute binary expreesion, left_input=-6648, right_input=1767, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1680","layer":4},{"info":"number node, value=3464","layer":4},{"info":"compute binary expreesion, left_input=1680, right_input=3464, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=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 = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-1124","layer":0}],"base":10,"result_base":10,"text":"≦∁(⊺⇮4624⪒⊺⇮2024)↬(⊺⇮1201↺⊺⇮1767)≎⊠⪸(⊺⇮1680↬⊺⇮3464≣⋋)=⊺⇮-1124","reverse_text":"⊺⇮-1124=≦∁(⊺⇮4624⪒⊺⇮2024)↬(⊺⇮1201↺⊺⇮1767)≎⊠⪸(⊺⇮1680↬⊺⇮3464≣⋋)","cot":[{"info":"⊺⇮4624⪒⊺⇮2024=⊺⇮-6648","layer":3},{"info":"⊺⇮1201↺⊺⇮1767=⊺⇮1767","layer":3},{"info":"⊺⇮-6648↬⊺⇮1767=NaN","layer":2},{"info":"⊺⇮1680↬⊺⇮3464=NaN","layer":3},{"info":"NaN≣⋋=NaN","layer":2},{"info":"NaN≎⊠⪸NaN=⊺⇮67","layer":1},{"info":"≦∁⊺⇮67=⊺⇮-1124","layer":0}]}
{"id":131,"expression_no_base_symbol":"(($1004$⇼⇔∾$3017$)⨽($2446$↙$3637$)%((↔$7070$)+(↣≠⋷$1232$)))≭((($4150$⪄$2111$)∸)≋⫹)","expression":"((⊺⇮1004⇼⇔∾⊺⇮3017)⨽(⊺⇮2446↙⊺⇮3637)%((↔⊺⇮7070)+(↣≠⋷⊺⇮1232)))≭(((⊺⇮4150⪄⊺⇮2111)∸)≋⫹)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5952,"operation_count":11,"complexity_ratio":541.0909090909091,"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":1004,"base":10},"right_expr":{"type":"numeric_atoms","value":3017,"base":10}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2446,"base":10},"right_expr":{"type":"numeric_atoms","value":3637,"base":10}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":7070,"base":10}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1232,"base":10}}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4150,"base":10},"right_expr":{"type":"numeric_atoms","value":2111,"base":10}}}}},"used_operators":["rxpJgHHUmx","k8jYdgA6NY","8HhzD0ZcuI","tifHPKVTfV","yyfyN0ffXY","W4YGzv6Whe","ruOEQAzv1W","Asc51vEJeQ","N41Kp7NANJ","o20kRiQErp","SUmda5xLS4"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1004","layer":4},{"info":"number node, value=3017","layer":4},{"info":"compute binary expreesion, left_input=1004, right_input=3017, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=2013","layer":3},{"info":"number node, value=2446","layer":4},{"info":"number node, value=3637","layer":4},{"info":"compute binary expreesion, left_input=2446, right_input=3637, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-10911","layer":3},{"info":"compute binary expreesion, left_input=2013, right_input=-10911, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-12122460","layer":2},{"info":"number node, value=7070","layer":4},{"info":"compute unary expreesion, input=7070, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-6797","layer":3},{"info":"number node, value=1232","layer":4},{"info":"compute unary expreesion, input=1232, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-6797, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-12122460, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=4150","layer":4},{"info":"number node, value=2111","layer":4},{"info":"compute binary expreesion, left_input=4150, right_input=2111, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-618733","layer":3},{"info":"compute unary expreesion, input=-618733, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"compute unary expreesion, input=177, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-354","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-354, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":10,"result_base":10,"text":"((⊺⇮1004⇼⇔∾⊺⇮3017)⨽(⊺⇮2446↙⊺⇮3637)%((↔⊺⇮7070)+(↣≠⋷⊺⇮1232)))≭(((⊺⇮4150⪄⊺⇮2111)∸)≋⫹)=NaN","reverse_text":"NaN=((⊺⇮1004⇼⇔∾⊺⇮3017)⨽(⊺⇮2446↙⊺⇮3637)%((↔⊺⇮7070)+(↣≠⋷⊺⇮1232)))≭(((⊺⇮4150⪄⊺⇮2111)∸)≋⫹)","cot":[{"info":"⊺⇮1004⇼⇔∾⊺⇮3017=⊺⇮2013","layer":3},{"info":"⊺⇮2446↙⊺⇮3637=⊺⇮-10911","layer":3},{"info":"⊺⇮2013⨽⊺⇮-10911=⊺⇮-12122460","layer":2},{"info":"↔⊺⇮7070=⊺⇮-6797","layer":3},{"info":"↣≠⋷⊺⇮1232=NaN","layer":3},{"info":"⊺⇮-6797+NaN=NaN","layer":2},{"info":"⊺⇮-12122460%NaN=NaN","layer":1},{"info":"⊺⇮4150⪄⊺⇮2111=⊺⇮-618733","layer":3},{"info":"⊺⇮-618733∸=⊺⇮177","layer":2},{"info":"⊺⇮177≋⫹=⊺⇮-354","layer":1},{"info":"NaN≭⊺⇮-354=NaN","layer":0}]}
{"id":132,"expression_no_base_symbol":"↯⪼((($1270$⩨$6535$)⨎($2476$%$2086$))⨰($2353$+⇶⊼$1387$⋳⪒(⨵≀≌$2315$)))","expression":"↯⪼(((⊺⇮1270⩨⊺⇮6535)⨎(⊺⇮2476%⊺⇮2086))⨰(⊺⇮2353+⇶⊼⊺⇮1387⋳⪒(⨵≀≌⊺⇮2315)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":58,"operation_count":8,"complexity_ratio":7.25,"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":1270,"base":10},"right_expr":{"type":"numeric_atoms","value":6535,"base":10}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2476,"base":10},"right_expr":{"type":"numeric_atoms","value":2086,"base":10}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2353,"base":10},"right_expr":{"type":"numeric_atoms","value":1387,"base":10}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":2315,"base":10}}}}},"used_operators":["8jW3W4yZS5","eewbuw0ToL","rJVOvQCfKK","2DlMacCsIx","k8jYdgA6NY","12rbrZMWeM","TpPTUOHfaN","srAu1WTS94"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"⊺⇮-21","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1270","layer":4},{"info":"number node, value=6535","layer":4},{"info":"compute binary expreesion, left_input=1270, right_input=6535, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-15","layer":3},{"info":"number node, value=2476","layer":4},{"info":"number node, value=2086","layer":4},{"info":"compute binary expreesion, left_input=2476, right_input=2086, op_id = k8jYdgA6NY binary_op_definition= 'None', output=390","layer":3},{"info":"compute binary expreesion, left_input=-15, right_input=390, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=390","layer":2},{"info":"number node, value=2353","layer":4},{"info":"number node, value=1387","layer":4},{"info":"compute binary expreesion, left_input=2353, right_input=1387, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=2315","layer":4},{"info":"compute unary expreesion, input=2315, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-6945","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6945, 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=390, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":0}],"base":10,"result_base":10,"text":"↯⪼(((⊺⇮1270⩨⊺⇮6535)⨎(⊺⇮2476%⊺⇮2086))⨰(⊺⇮2353+⇶⊼⊺⇮1387⋳⪒(⨵≀≌⊺⇮2315)))=⊺⇮-21","reverse_text":"⊺⇮-21=↯⪼(((⊺⇮1270⩨⊺⇮6535)⨎(⊺⇮2476%⊺⇮2086))⨰(⊺⇮2353+⇶⊼⊺⇮1387⋳⪒(⨵≀≌⊺⇮2315)))","cot":[{"info":"⊺⇮1270⩨⊺⇮6535=⊺⇮-15","layer":3},{"info":"⊺⇮2476%⊺⇮2086=⊺⇮390","layer":3},{"info":"⊺⇮-15⨎⊺⇮390=⊺⇮390","layer":2},{"info":"⊺⇮2353+⇶⊼⊺⇮1387=NaN","layer":3},{"info":"⨵≀≌⊺⇮2315=⊺⇮-6945","layer":3},{"info":"NaN⋳⪒⊺⇮-6945=NaN","layer":2},{"info":"⊺⇮390⨰NaN=NaN","layer":1},{"info":"↯⪼NaN=⊺⇮-21","layer":0}]}
{"id":133,"expression_no_base_symbol":"∂(⫛⫱⨽(($3644$≭$2000$)⋓($4171$+⇶⊼$1152$)))","expression":"∂(⫛⫱⨽((⊺⇮3644≭⊺⇮2000)⋓(⊺⇮4171+⇶⊼⊺⇮1152)))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":928,"operation_count":5,"complexity_ratio":185.6,"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":3644,"base":10},"right_expr":{"type":"numeric_atoms","value":2000,"base":10}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4171,"base":10},"right_expr":{"type":"numeric_atoms","value":1152,"base":10}}}}},"used_operators":["Uaa54Peajs","DlLNRPXxWL","T2fj7uvVaJ","rxpJgHHUmx","TpPTUOHfaN"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rGHVDoGpnC","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","AHs5Up7iyr","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=3644","layer":4},{"info":"number node, value=2000","layer":4},{"info":"compute binary expreesion, left_input=3644, right_input=2000, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=4171","layer":4},{"info":"number node, value=1152","layer":4},{"info":"compute binary expreesion, left_input=4171, right_input=1152, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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 = T2fj7uvVaJ 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 = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', 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":10,"result_base":10,"text":"∂(⫛⫱⨽((⊺⇮3644≭⊺⇮2000)⋓(⊺⇮4171+⇶⊼⊺⇮1152)))=NaN","reverse_text":"NaN=∂(⫛⫱⨽((⊺⇮3644≭⊺⇮2000)⋓(⊺⇮4171+⇶⊼⊺⇮1152)))","cot":[{"info":"⊺⇮3644≭⊺⇮2000=NaN","layer":3},{"info":"⊺⇮4171+⇶⊼⊺⇮1152=NaN","layer":3},{"info":"NaN⋓NaN=NaN","layer":2},{"info":"⫛⫱⨽NaN=NaN","layer":1},{"info":"∂NaN=NaN","layer":0}]}
{"id":134,"expression_no_base_symbol":"(($1414$⪐)⊭↱($5150$↪⪝))⪛(($3489$⋥≓≎$5763$)⨐⩸⫘$7801$⪘⫢$7219$)⪐","expression":"((⊺⇮1414⪐)⊭↱(⊺⇮5150↪⪝))⪛((⊺⇮3489⋥≓≎⊺⇮5763)⨐⩸⫘⊺⇮7801⪘⫢⊺⇮7219)⪐","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":734,"operation_count":8,"complexity_ratio":91.75,"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":1414,"base":10}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":5150,"base":10}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3489,"base":10},"right_expr":{"type":"numeric_atoms","value":5763,"base":10}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":7801,"base":10},"right_expr":{"type":"numeric_atoms","value":7219,"base":10}}}}},"used_operators":["eH2TOUuTDT","uFcxV4UQCh","COABgblf1C","l07mrZUIn9","fu6greOZ01","Qy55tPpLXF","oacrs7FA3X"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1414","layer":4},{"info":"compute unary expreesion, input=1414, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2828","layer":3},{"info":"number node, value=5150","layer":4},{"info":"compute unary expreesion, input=5150, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=315087300","layer":3},{"info":"compute binary expreesion, left_input=2828, right_input=315087300, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=630168949","layer":2},{"info":"number node, value=3489","layer":4},{"info":"number node, value=5763","layer":4},{"info":"compute binary expreesion, left_input=3489, right_input=5763, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=8070","layer":3},{"info":"number node, value=7801","layer":4},{"info":"number node, value=7219","layer":4},{"info":"compute binary expreesion, left_input=7801, right_input=7219, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=15478","layer":3},{"info":"compute binary expreesion, left_input=8070, right_input=15478, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=630168949, 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 = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1414⪐)⊭↱(⊺⇮5150↪⪝))⪛((⊺⇮3489⋥≓≎⊺⇮5763)⨐⩸⫘⊺⇮7801⪘⫢⊺⇮7219)⪐=NaN","reverse_text":"NaN=((⊺⇮1414⪐)⊭↱(⊺⇮5150↪⪝))⪛((⊺⇮3489⋥≓≎⊺⇮5763)⨐⩸⫘⊺⇮7801⪘⫢⊺⇮7219)⪐","cot":[{"info":"⊺⇮1414⪐=⊺⇮2828","layer":3},{"info":"⊺⇮5150↪⪝=⊺⇮315087300","layer":3},{"info":"⊺⇮2828⊭↱⊺⇮315087300=⊺⇮630168949","layer":2},{"info":"⊺⇮3489⋥≓≎⊺⇮5763=⊺⇮8070","layer":3},{"info":"⊺⇮7801⪘⫢⊺⇮7219=⊺⇮15478","layer":3},{"info":"⊺⇮8070⨐⩸⫘⊺⇮15478=NaN","layer":2},{"info":"⊺⇮630168949⪛NaN=NaN","layer":1},{"info":"NaN⪐=NaN","layer":0}]}
{"id":135,"expression_no_base_symbol":"(($1426$⨸⪁$2448$)⋓($5115$⩠)↪⪝)⩚⊴⇥(⇁⨣⪵(↽≂$1794$⪮%⊝$7045$))","expression":"((⊺⇮1426⨸⪁⊺⇮2448)⋓(⊺⇮5115⩠)↪⪝)⩚⊴⇥(⇁⨣⪵(↽≂⊺⇮1794⪮%⊝⊺⇮7045))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":55,"operation_count":8,"complexity_ratio":6.875,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1426,"base":10},"right_expr":{"type":"numeric_atoms","value":2448,"base":10}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":5115,"base":10}}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1794,"base":10},"right_expr":{"type":"numeric_atoms","value":7045,"base":10}}}}},"used_operators":["NTOWxs364D","l07mrZUIn9","T2fj7uvVaJ","g55IO6H4Gj","sJAwomhLZr","inkyxCbjAn","u6S6b8DprG","IWmyXbctLI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","2DDjHMKMc0","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","B5M0gjZbta","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1426","layer":4},{"info":"number node, value=2448","layer":4},{"info":"compute binary expreesion, left_input=1426, right_input=2448, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=7748","layer":3},{"info":"number node, value=5115","layer":4},{"info":"compute unary expreesion, input=5115, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=7748, 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 unary expreesion, input=0, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=0","layer":1},{"info":"number node, value=1794","layer":4},{"info":"number node, value=7045","layer":4},{"info":"compute binary expreesion, left_input=1794, right_input=7045, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3904","layer":3},{"info":"compute unary expreesion, input=3904, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-7808","layer":2},{"info":"compute unary expreesion, input=-7808, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1426⨸⪁⊺⇮2448)⋓(⊺⇮5115⩠)↪⪝)⩚⊴⇥(⇁⨣⪵(↽≂⊺⇮1794⪮%⊝⊺⇮7045))=NaN","reverse_text":"NaN=((⊺⇮1426⨸⪁⊺⇮2448)⋓(⊺⇮5115⩠)↪⪝)⩚⊴⇥(⇁⨣⪵(↽≂⊺⇮1794⪮%⊝⊺⇮7045))","cot":[{"info":"⊺⇮1426⨸⪁⊺⇮2448=⊺⇮7748","layer":3},{"info":"⊺⇮5115⩠=⊺⇮0","layer":3},{"info":"⊺⇮7748⋓⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮0↪⪝=⊺⇮0","layer":1},{"info":"⊺⇮1794⪮%⊝⊺⇮7045=⊺⇮3904","layer":3},{"info":"↽≂⊺⇮3904=⊺⇮-7808","layer":2},{"info":"⇁⨣⪵⊺⇮-7808=NaN","layer":1},{"info":"⊺⇮0⩚⊴⇥NaN=NaN","layer":0}]}
{"id":136,"expression_no_base_symbol":"(↽≂($1729$⨽$5754$)∑⇟⊟($2941$⪠⩆⊳))⨓((⩦⩻⨪$7203$)⪮%⊝($5701$⨵⪆$4716$)↪⪝)","expression":"(↽≂(⊺⇮1729⨽⊺⇮5754)∑⇟⊟(⊺⇮2941⪠⩆⊳))⨓((⩦⩻⨪⊺⇮7203)⪮%⊝(⊺⇮5701⨵⪆⊺⇮4716)↪⪝)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2468,"operation_count":9,"complexity_ratio":274.22222222222223,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1729,"base":10},"right_expr":{"type":"numeric_atoms","value":5754,"base":10}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":2941,"base":10}}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":7203,"base":10}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":5701,"base":10},"right_expr":{"type":"numeric_atoms","value":4716,"base":10}}}}},"used_operators":["3ViojmjbAp","u6S6b8DprG","U7g4x0WXJJ","8HhzD0ZcuI","JLbD19bQDL","l07mrZUIn9","IWmyXbctLI","2td37pGCOC","2DQ55sFlQl"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1729","layer":4},{"info":"number node, value=5754","layer":4},{"info":"compute binary expreesion, left_input=1729, right_input=5754, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-8984271","layer":3},{"info":"number node, value=2941","layer":4},{"info":"compute unary expreesion, input=2941, 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=-8984271, right_input=0, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=-8984271","layer":2},{"info":"compute unary expreesion, input=-8984271, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=17968542","layer":1},{"info":"number node, value=7203","layer":4},{"info":"compute unary expreesion, input=7203, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=7203","layer":3},{"info":"number node, value=5701","layer":4},{"info":"number node, value=4716","layer":4},{"info":"compute binary expreesion, left_input=5701, right_input=4716, 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=7203, right_input=160, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=14722","layer":2},{"info":"compute unary expreesion, input=14722, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=900721404","layer":1},{"info":"compute binary expreesion, left_input=17968542, right_input=900721404, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(↽≂(⊺⇮1729⨽⊺⇮5754)∑⇟⊟(⊺⇮2941⪠⩆⊳))⨓((⩦⩻⨪⊺⇮7203)⪮%⊝(⊺⇮5701⨵⪆⊺⇮4716)↪⪝)=NaN","reverse_text":"NaN=(↽≂(⊺⇮1729⨽⊺⇮5754)∑⇟⊟(⊺⇮2941⪠⩆⊳))⨓((⩦⩻⨪⊺⇮7203)⪮%⊝(⊺⇮5701⨵⪆⊺⇮4716)↪⪝)","cot":[{"info":"⊺⇮1729⨽⊺⇮5754=⊺⇮-8984271","layer":3},{"info":"⊺⇮2941⪠⩆⊳=⊺⇮0","layer":3},{"info":"⊺⇮-8984271∑⇟⊟⊺⇮0=⊺⇮-8984271","layer":2},{"info":"↽≂⊺⇮-8984271=⊺⇮17968542","layer":1},{"info":"⩦⩻⨪⊺⇮7203=⊺⇮7203","layer":3},{"info":"⊺⇮5701⨵⪆⊺⇮4716=⊺⇮160","layer":3},{"info":"⊺⇮7203⪮%⊝⊺⇮160=⊺⇮14722","layer":2},{"info":"⊺⇮14722↪⪝=⊺⇮900721404","layer":1},{"info":"⊺⇮17968542⨓⊺⇮900721404=NaN","layer":0}]}
{"id":137,"expression_no_base_symbol":"⇁⨣⪵(∥⊫(⫓⪴$1013$))≭(($1172$⋓$5515$)⩠)","expression":"⇁⨣⪵(∥⊫(⫓⪴⊺⇮1013))≭((⊺⇮1172⋓⊺⇮5515)⩠)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1050,"operation_count":6,"complexity_ratio":175.0,"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":1013,"base":10}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1172,"base":10},"right_expr":{"type":"numeric_atoms","value":5515,"base":10}}}}},"used_operators":["inkyxCbjAn","rxpJgHHUmx","P8v4zCKN1o","eLxqMNBOBk","sJAwomhLZr","T2fj7uvVaJ"],"dependent_operators":["B5M0gjZbta","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1013","layer":4},{"info":"compute unary expreesion, input=1013, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1026169","layer":3},{"info":"compute unary expreesion, input=1026169, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=1027037","layer":2},{"info":"number node, value=1172","layer":4},{"info":"number node, value=5515","layer":4},{"info":"compute binary expreesion, left_input=1172, right_input=5515, op_id = T2fj7uvVaJ binary_op_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 = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1027037, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⇁⨣⪵(∥⊫(⫓⪴⊺⇮1013))≭((⊺⇮1172⋓⊺⇮5515)⩠)=NaN","reverse_text":"NaN=⇁⨣⪵(∥⊫(⫓⪴⊺⇮1013))≭((⊺⇮1172⋓⊺⇮5515)⩠)","cot":[{"info":"⫓⪴⊺⇮1013=⊺⇮1026169","layer":3},{"info":"∥⊫⊺⇮1026169=⊺⇮1027037","layer":2},{"info":"⊺⇮1172⋓⊺⇮5515=⊺⇮0","layer":3},{"info":"⊺⇮0⩠=NaN","layer":2},{"info":"⊺⇮1027037≭NaN=NaN","layer":1},{"info":"⇁⨣⪵NaN=NaN","layer":0}]}
{"id":138,"expression_no_base_symbol":"((↯⪼($8619$⨐⩸⫘$1495$))↙($2800$∑⇟⊟$5979$≋⫹))⋫","expression":"((↯⪼(⊺⇮8619⨐⩸⫘⊺⇮1495))↙(⊺⇮2800∑⇟⊟⊺⇮5979≋⫹))⋫","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":58,"operation_count":6,"complexity_ratio":9.666666666666666,"tree":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":8619,"base":10},"right_expr":{"type":"numeric_atoms","value":1495,"base":10}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2800,"base":10},"right_expr":{"type":"numeric_atoms","value":5979,"base":10}}}}},"used_operators":["JL8yIekQnl","yyfyN0ffXY","8jW3W4yZS5","fu6greOZ01","N41Kp7NANJ","U7g4x0WXJJ"],"dependent_operators":["tmPS8pqC7x","tmPS8pqC7x","DpFCA1CohY","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"⊺⇮21","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=8619","layer":4},{"info":"number node, value=1495","layer":4},{"info":"compute binary expreesion, left_input=8619, right_input=1495, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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 = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"number node, value=2800","layer":4},{"info":"number node, value=5979","layer":4},{"info":"compute binary expreesion, left_input=2800, right_input=5979, 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":"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":"compute unary expreesion, input=-21, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=21","layer":0}],"base":10,"result_base":10,"text":"((↯⪼(⊺⇮8619⨐⩸⫘⊺⇮1495))↙(⊺⇮2800∑⇟⊟⊺⇮5979≋⫹))⋫=⊺⇮21","reverse_text":"⊺⇮21=((↯⪼(⊺⇮8619⨐⩸⫘⊺⇮1495))↙(⊺⇮2800∑⇟⊟⊺⇮5979≋⫹))⋫","cot":[{"info":"⊺⇮8619⨐⩸⫘⊺⇮1495=NaN","layer":3},{"info":"↯⪼NaN=⊺⇮-21","layer":2},{"info":"⊺⇮2800∑⇟⊟⊺⇮5979=NaN","layer":3},{"info":"NaN≋⫹=NaN","layer":2},{"info":"⊺⇮-21↙NaN=⊺⇮-21","layer":1},{"info":"⊺⇮-21⋫=⊺⇮21","layer":0}]}
{"id":139,"expression_no_base_symbol":"(⨰⫟⨤$2025$⪢$1507$∀⇚≩($1813$⨰$1119$))*($1113$⊉≛↸$2553$)⨪↰⇹($1206$⨳⩥⨓$2907$)⫥∨⫟$2069$⩷∴$1832$≎⊠⪸$1033$≧⫂∧$3715$","expression":"(⨰⫟⨤⊺⇮2025⪢⊺⇮1507∀⇚≩(⊺⇮1813⨰⊺⇮1119))*(⊺⇮1113⊉≛↸⊺⇮2553)⨪↰⇹(⊺⇮1206⨳⩥⨓⊺⇮2907)⫥∨⫟⊺⇮2069⩷∴⊺⇮1832≎⊠⪸⊺⇮1033≧⫂∧⊺⇮3715","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4541,"operation_count":12,"complexity_ratio":378.4166666666667,"tree":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2025,"base":10},"right_expr":{"type":"numeric_atoms","value":1507,"base":10}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1813,"base":10},"right_expr":{"type":"numeric_atoms","value":1119,"base":10}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1113,"base":10},"right_expr":{"type":"numeric_atoms","value":2553,"base":10}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1206,"base":10},"right_expr":{"type":"numeric_atoms","value":2907,"base":10}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2069,"base":10},"right_expr":{"type":"numeric_atoms","value":1832,"base":10}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1033,"base":10},"right_expr":{"type":"numeric_atoms","value":3715,"base":10}}}}},"used_operators":["9HNa5Wba9A","Tw270M8GLb","LRNGc0VcxI","dWAJyo7jo9","eewbuw0ToL","KYD54nUTWz","tmPS8pqC7x","DZ8iAZOCBD","nCS4ZIUYfx","bJkvcejdHO","9FxExcQeMw","Ph9nP6C5qx"],"dependent_operators":["W4YGzv6Whe","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","X99M06cbEe","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2025","layer":4},{"info":"number node, value=1507","layer":4},{"info":"compute binary expreesion, left_input=2025, right_input=1507, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1813","layer":4},{"info":"number node, value=1119","layer":4},{"info":"compute binary expreesion, left_input=1813, right_input=1119, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=704","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=704, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":"number node, value=1113","layer":4},{"info":"number node, value=2553","layer":4},{"info":"compute binary expreesion, left_input=1113, right_input=2553, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2226","layer":3},{"info":"number node, value=1206","layer":4},{"info":"number node, value=2907","layer":4},{"info":"compute binary expreesion, left_input=1206, right_input=2907, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1701","layer":3},{"info":"compute binary expreesion, left_input=2226, right_input=1701, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2226","layer":2},{"info":"number node, value=2069","layer":4},{"info":"number node, value=1832","layer":4},{"info":"compute binary expreesion, left_input=2069, right_input=1832, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=442","layer":3},{"info":"number node, value=1033","layer":4},{"info":"number node, value=3715","layer":4},{"info":"compute binary expreesion, left_input=1033, right_input=3715, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3242","layer":3},{"info":"compute binary expreesion, left_input=442, right_input=3242, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=114005","layer":2},{"info":"compute binary expreesion, left_input=2226, right_input=114005, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⨰⫟⨤⊺⇮2025⪢⊺⇮1507∀⇚≩(⊺⇮1813⨰⊺⇮1119))*(⊺⇮1113⊉≛↸⊺⇮2553)⨪↰⇹(⊺⇮1206⨳⩥⨓⊺⇮2907)⫥∨⫟⊺⇮2069⩷∴⊺⇮1832≎⊠⪸⊺⇮1033≧⫂∧⊺⇮3715=NaN","reverse_text":"NaN=(⨰⫟⨤⊺⇮2025⪢⊺⇮1507∀⇚≩(⊺⇮1813⨰⊺⇮1119))*(⊺⇮1113⊉≛↸⊺⇮2553)⨪↰⇹(⊺⇮1206⨳⩥⨓⊺⇮2907)⫥∨⫟⊺⇮2069⩷∴⊺⇮1832≎⊠⪸⊺⇮1033≧⫂∧⊺⇮3715","cot":[{"info":"⊺⇮2025⪢⊺⇮1507=NaN","layer":3},{"info":"⊺⇮1813⨰⊺⇮1119=⊺⇮704","layer":3},{"info":"NaN∀⇚≩⊺⇮704=NaN","layer":2},{"info":"⨰⫟⨤NaN=NaN","layer":1},{"info":"⊺⇮1113⊉≛↸⊺⇮2553=⊺⇮2226","layer":3},{"info":"⊺⇮1206⨳⩥⨓⊺⇮2907=⊺⇮1701","layer":3},{"info":"⊺⇮2226⨪↰⇹⊺⇮1701=⊺⇮2226","layer":2},{"info":"⊺⇮2069⩷∴⊺⇮1832=⊺⇮442","layer":3},{"info":"⊺⇮1033≧⫂∧⊺⇮3715=⊺⇮3242","layer":3},{"info":"⊺⇮442≎⊠⪸⊺⇮3242=⊺⇮114005","layer":2},{"info":"⊺⇮2226⫥∨⫟⊺⇮114005=NaN","layer":1},{"info":"NaN*NaN=NaN","layer":0}]}
{"id":140,"expression_no_base_symbol":"⨵≀≌((↯⪼$3674$)⩚⊴⇥($2940$⨳⩥⨓$4834$)/(∥⊫$6010$)⨪↰⇹(∂$1106$))","expression":"⨵≀≌((↯⪼⊺⇮3674)⩚⊴⇥(⊺⇮2940⨳⩥⨓⊺⇮4834)/(∥⊫⊺⇮6010)⨪↰⇹(∂⊺⇮1106))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":6927,"operation_count":8,"complexity_ratio":865.875,"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":3674,"base":10}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2940,"base":10},"right_expr":{"type":"numeric_atoms","value":4834,"base":10}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":6010,"base":10}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1106,"base":10}}}}},"used_operators":["srAu1WTS94","XhwjNDsVaA","NTOWxs364D","8jW3W4yZS5","nCS4ZIUYfx","tmPS8pqC7x","P8v4zCKN1o","Uaa54Peajs"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"⊺⇮1","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3674","layer":4},{"info":"compute unary expreesion, input=3674, 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=2940","layer":4},{"info":"number node, value=4834","layer":4},{"info":"compute binary expreesion, left_input=2940, right_input=4834, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1894","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=1894, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-1994","layer":2},{"info":"number node, value=6010","layer":4},{"info":"compute unary expreesion, input=6010, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=6878","layer":3},{"info":"number node, value=1106","layer":4},{"info":"compute unary expreesion, input=1106, 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=6878, 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=6878","layer":2},{"info":"compute binary expreesion, left_input=-1994, right_input=6878, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":1},{"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":0}],"base":10,"result_base":10,"text":"⨵≀≌((↯⪼⊺⇮3674)⩚⊴⇥(⊺⇮2940⨳⩥⨓⊺⇮4834)/(∥⊫⊺⇮6010)⨪↰⇹(∂⊺⇮1106))=⊺⇮1","reverse_text":"⊺⇮1=⨵≀≌((↯⪼⊺⇮3674)⩚⊴⇥(⊺⇮2940⨳⩥⨓⊺⇮4834)/(∥⊫⊺⇮6010)⨪↰⇹(∂⊺⇮1106))","cot":[{"info":"↯⪼⊺⇮3674=⊺⇮-21","layer":3},{"info":"⊺⇮2940⨳⩥⨓⊺⇮4834=⊺⇮1894","layer":3},{"info":"⊺⇮-21⩚⊴⇥⊺⇮1894=⊺⇮-1994","layer":2},{"info":"∥⊫⊺⇮6010=⊺⇮6878","layer":3},{"info":"∂⊺⇮1106=NaN","layer":3},{"info":"⊺⇮6878⨪↰⇹NaN=⊺⇮6878","layer":2},{"info":"⊺⇮-1994/⊺⇮6878=⊺⇮-1","layer":1},{"info":"⨵≀≌⊺⇮-1=⊺⇮1","layer":0}]}
{"id":141,"expression_no_base_symbol":"((($6995$/$4423$)≦≮≮)⨪↰⇹(($2156$⪨≂$3156$)*(+⊝⨔$2259$)))⩠","expression":"(((⊺⇮6995/⊺⇮4423)≦≮≮)⨪↰⇹((⊺⇮2156⪨≂⊺⇮3156)*(+⊝⨔⊺⇮2259)))⩠","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1591,"operation_count":7,"complexity_ratio":227.28571428571428,"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":6995,"base":10},"right_expr":{"type":"numeric_atoms","value":4423,"base":10}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2156,"base":10},"right_expr":{"type":"numeric_atoms","value":3156,"base":10}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2259,"base":10}}}}},"used_operators":["sJAwomhLZr","tmPS8pqC7x","D4vGDi5EA2","XhwjNDsVaA","9HNa5Wba9A","sdazOOVcIp","DhbWaqg5eL"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"⊺⇮197","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6995","layer":4},{"info":"number node, value=4423","layer":4},{"info":"compute binary expreesion, left_input=6995, right_input=4423, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute unary expreesion, input=1, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-3","layer":2},{"info":"number node, value=2156","layer":4},{"info":"number node, value=3156","layer":4},{"info":"compute binary expreesion, left_input=2156, right_input=3156, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-1898","layer":3},{"info":"number node, value=2259","layer":4},{"info":"compute unary expreesion, input=2259, 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=-1898, right_input=1522, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-2888756","layer":2},{"info":"compute binary expreesion, left_input=-3, right_input=-2888756, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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 unary expreesion, input=3, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=197","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮6995/⊺⇮4423)≦≮≮)⨪↰⇹((⊺⇮2156⪨≂⊺⇮3156)*(+⊝⨔⊺⇮2259)))⩠=⊺⇮197","reverse_text":"⊺⇮197=(((⊺⇮6995/⊺⇮4423)≦≮≮)⨪↰⇹((⊺⇮2156⪨≂⊺⇮3156)*(+⊝⨔⊺⇮2259)))⩠","cot":[{"info":"⊺⇮6995/⊺⇮4423=⊺⇮1","layer":3},{"info":"⊺⇮1≦≮≮=⊺⇮-3","layer":2},{"info":"⊺⇮2156⪨≂⊺⇮3156=⊺⇮-1898","layer":3},{"info":"+⊝⨔⊺⇮2259=⊺⇮1522","layer":3},{"info":"⊺⇮-1898*⊺⇮1522=⊺⇮-2888756","layer":2},{"info":"⊺⇮-3⨪↰⇹⊺⇮-2888756=⊺⇮3","layer":1},{"info":"⊺⇮3⩠=⊺⇮197","layer":0}]}
{"id":142,"expression_no_base_symbol":"(↔(($4264$⨎$1410$)⋓($1975$⪄$3002$)))⪐","expression":"(↔((⊺⇮4264⨎⊺⇮1410)⋓(⊺⇮1975⪄⊺⇮3002)))⪐","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":121,"operation_count":5,"complexity_ratio":24.2,"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":4264,"base":10},"right_expr":{"type":"numeric_atoms","value":1410,"base":10}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1975,"base":10},"right_expr":{"type":"numeric_atoms","value":3002,"base":10}}}}},"used_operators":["eH2TOUuTDT","ruOEQAzv1W","T2fj7uvVaJ","rJVOvQCfKK","SUmda5xLS4"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"⊺⇮1578","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4264","layer":4},{"info":"number node, value=1410","layer":4},{"info":"compute binary expreesion, left_input=4264, right_input=1410, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1410","layer":3},{"info":"number node, value=1975","layer":4},{"info":"number node, value=3002","layer":4},{"info":"compute binary expreesion, left_input=1975, right_input=3002, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-300397","layer":3},{"info":"compute binary expreesion, left_input=1410, right_input=-300397, op_id = T2fj7uvVaJ binary_op_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 = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=789","layer":1},{"info":"compute unary expreesion, input=789, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=1578","layer":0}],"base":10,"result_base":10,"text":"(↔((⊺⇮4264⨎⊺⇮1410)⋓(⊺⇮1975⪄⊺⇮3002)))⪐=⊺⇮1578","reverse_text":"⊺⇮1578=(↔((⊺⇮4264⨎⊺⇮1410)⋓(⊺⇮1975⪄⊺⇮3002)))⪐","cot":[{"info":"⊺⇮4264⨎⊺⇮1410=⊺⇮1410","layer":3},{"info":"⊺⇮1975⪄⊺⇮3002=⊺⇮-300397","layer":3},{"info":"⊺⇮1410⋓⊺⇮-300397=⊺⇮0","layer":2},{"info":"↔⊺⇮0=⊺⇮789","layer":1},{"info":"⊺⇮789⪐=⊺⇮1578","layer":0}]}
{"id":143,"expression_no_base_symbol":"(⨵≀≌((≤/$3566$)≣⋋))⋫","expression":"(⨵≀≌((≤/⊺⇮3566)≣⋋))⋫","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":522,"operation_count":4,"complexity_ratio":130.5,"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":3566,"base":10}}}}},"used_operators":["JL8yIekQnl","srAu1WTS94","Tcnh7f0tEr","eLAdDNolq6"],"dependent_operators":["tmPS8pqC7x","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rysDP5nf3Z"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3566","layer":4},{"info":"compute unary expreesion, input=3566, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-3082","layer":3},{"info":"compute unary expreesion, input=-3082, 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 = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=0","layer":0}],"base":10,"result_base":10,"text":"(⨵≀≌((≤/⊺⇮3566)≣⋋))⋫=⊺⇮0","reverse_text":"⊺⇮0=(⨵≀≌((≤/⊺⇮3566)≣⋋))⋫","cot":[{"info":"≤/⊺⇮3566=⊺⇮-3082","layer":3},{"info":"⊺⇮-3082≣⋋=⊺⇮0","layer":2},{"info":"⨵≀≌⊺⇮0=⊺⇮0","layer":1},{"info":"⊺⇮0⋫=⊺⇮0","layer":0}]}
{"id":144,"expression_no_base_symbol":"(($4333$↙$2321$-$2049$⪛$3947$)∲⫓($5568$⩷∴$1014$)⪮%⊝($6696$⨽$1142$))⨁⊸⫻","expression":"((⊺⇮4333↙⊺⇮2321-⊺⇮2049⪛⊺⇮3947)∲⫓(⊺⇮5568⩷∴⊺⇮1014)⪮%⊝(⊺⇮6696⨽⊺⇮1142))⨁⊸⫻","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":9054,"operation_count":8,"complexity_ratio":1131.75,"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":4333,"base":10},"right_expr":{"type":"numeric_atoms","value":2321,"base":10}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2049,"base":10},"right_expr":{"type":"numeric_atoms","value":3947,"base":10}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":5568,"base":10},"right_expr":{"type":"numeric_atoms","value":1014,"base":10}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":6696,"base":10},"right_expr":{"type":"numeric_atoms","value":1142,"base":10}}}}},"used_operators":["glklzrTFfD","i8ToyICDmI","rysDP5nf3Z","yyfyN0ffXY","uFcxV4UQCh","IWmyXbctLI","9FxExcQeMw","8HhzD0ZcuI"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4333","layer":4},{"info":"number node, value=2321","layer":4},{"info":"compute binary expreesion, left_input=4333, right_input=2321, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-6963","layer":3},{"info":"number node, value=2049","layer":4},{"info":"number node, value=3947","layer":4},{"info":"compute binary expreesion, left_input=2049, right_input=3947, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2049","layer":3},{"info":"compute binary expreesion, left_input=-6963, right_input=2049, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-9012","layer":2},{"info":"number node, value=5568","layer":4},{"info":"number node, value=1014","layer":4},{"info":"compute binary expreesion, left_input=5568, right_input=1014, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=9076","layer":3},{"info":"number node, value=6696","layer":4},{"info":"number node, value=1142","layer":4},{"info":"compute binary expreesion, left_input=6696, right_input=1142, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-134511360","layer":3},{"info":"compute binary expreesion, left_input=9076, right_input=-134511360, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=18468","layer":2},{"info":"compute binary expreesion, left_input=-9012, right_input=18468, 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 = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=0","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮4333↙⊺⇮2321-⊺⇮2049⪛⊺⇮3947)∲⫓(⊺⇮5568⩷∴⊺⇮1014)⪮%⊝(⊺⇮6696⨽⊺⇮1142))⨁⊸⫻=⊺⇮0","reverse_text":"⊺⇮0=((⊺⇮4333↙⊺⇮2321-⊺⇮2049⪛⊺⇮3947)∲⫓(⊺⇮5568⩷∴⊺⇮1014)⪮%⊝(⊺⇮6696⨽⊺⇮1142))⨁⊸⫻","cot":[{"info":"⊺⇮4333↙⊺⇮2321=⊺⇮-6963","layer":3},{"info":"⊺⇮2049⪛⊺⇮3947=⊺⇮2049","layer":3},{"info":"⊺⇮-6963-⊺⇮2049=⊺⇮-9012","layer":2},{"info":"⊺⇮5568⩷∴⊺⇮1014=⊺⇮9076","layer":3},{"info":"⊺⇮6696⨽⊺⇮1142=⊺⇮-134511360","layer":3},{"info":"⊺⇮9076⪮%⊝⊺⇮-134511360=⊺⇮18468","layer":2},{"info":"⊺⇮-9012∲⫓⊺⇮18468=⊺⇮0","layer":1},{"info":"⊺⇮0⨁⊸⫻=⊺⇮0","layer":0}]}
{"id":145,"expression_no_base_symbol":"($3516$⇼⇔∾$6658$⋷$4156$⪮%⊝$1175$)⋥≓≎(↔$1382$)⋥≓≎$2373$⨎$3370$↙(⨈⫕(-$1455$))⨽((⇁⨣⪵$2416$)≋⫹)","expression":"(⊺⇮3516⇼⇔∾⊺⇮6658⋷⊺⇮4156⪮%⊝⊺⇮1175)⋥≓≎(↔⊺⇮1382)⋥≓≎⊺⇮2373⨎⊺⇮3370↙(⨈⫕(-⊺⇮1455))⨽((⇁⨣⪵⊺⇮2416)≋⫹)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":450,"operation_count":13,"complexity_ratio":34.61538461538461,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3516,"base":10},"right_expr":{"type":"numeric_atoms","value":6658,"base":10}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4156,"base":10},"right_expr":{"type":"numeric_atoms","value":1175,"base":10}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1382,"base":10}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2373,"base":10},"right_expr":{"type":"numeric_atoms","value":3370,"base":10}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1455,"base":10}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2416,"base":10}}}}},"used_operators":["yyfyN0ffXY","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","IWmyXbctLI","ruOEQAzv1W","rJVOvQCfKK","8HhzD0ZcuI","megm06wKyl","t8gj7n24qd","N41Kp7NANJ","inkyxCbjAn"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta"],"result":"⊺⇮-13947","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3516","layer":4},{"info":"number node, value=6658","layer":4},{"info":"compute binary expreesion, left_input=3516, right_input=6658, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=3142","layer":3},{"info":"number node, value=4156","layer":4},{"info":"number node, value=1175","layer":4},{"info":"compute binary expreesion, left_input=4156, right_input=1175, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=8628","layer":3},{"info":"compute binary expreesion, left_input=3142, right_input=8628, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=14114","layer":2},{"info":"number node, value=1382","layer":4},{"info":"compute unary expreesion, input=1382, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1109","layer":3},{"info":"number node, value=2373","layer":4},{"info":"number node, value=3370","layer":4},{"info":"compute binary expreesion, left_input=2373, right_input=3370, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3370","layer":3},{"info":"compute binary expreesion, left_input=-1109, right_input=3370, 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=14114, right_input=67, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-13947","layer":1},{"info":"number node, value=1455","layer":4},{"info":"compute unary expreesion, input=1455, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1455","layer":3},{"info":"compute unary expreesion, input=-1455, 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=2416","layer":4},{"info":"compute unary expreesion, input=2416, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', 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=-21, 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=-13947, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-13947","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮3516⇼⇔∾⊺⇮6658⋷⊺⇮4156⪮%⊝⊺⇮1175)⋥≓≎(↔⊺⇮1382)⋥≓≎⊺⇮2373⨎⊺⇮3370↙(⨈⫕(-⊺⇮1455))⨽((⇁⨣⪵⊺⇮2416)≋⫹)=⊺⇮-13947","reverse_text":"⊺⇮-13947=(⊺⇮3516⇼⇔∾⊺⇮6658⋷⊺⇮4156⪮%⊝⊺⇮1175)⋥≓≎(↔⊺⇮1382)⋥≓≎⊺⇮2373⨎⊺⇮3370↙(⨈⫕(-⊺⇮1455))⨽((⇁⨣⪵⊺⇮2416)≋⫹)","cot":[{"info":"⊺⇮3516⇼⇔∾⊺⇮6658=⊺⇮3142","layer":3},{"info":"⊺⇮4156⪮%⊝⊺⇮1175=⊺⇮8628","layer":3},{"info":"⊺⇮3142⋷⊺⇮8628=⊺⇮14114","layer":2},{"info":"↔⊺⇮1382=⊺⇮-1109","layer":3},{"info":"⊺⇮2373⨎⊺⇮3370=⊺⇮3370","layer":3},{"info":"⊺⇮-1109⋥≓≎⊺⇮3370=⊺⇮67","layer":2},{"info":"⊺⇮14114⋥≓≎⊺⇮67=⊺⇮-13947","layer":1},{"info":"-⊺⇮1455=⊺⇮-1455","layer":3},{"info":"⨈⫕⊺⇮-1455=⊺⇮-21","layer":2},{"info":"⇁⨣⪵⊺⇮2416=NaN","layer":3},{"info":"NaN≋⫹=NaN","layer":2},{"info":"⊺⇮-21⨽NaN=NaN","layer":1},{"info":"⊺⇮-13947↙NaN=⊺⇮-13947","layer":0}]}
{"id":146,"expression_no_base_symbol":"(($6191$-$2026$)⨐⩸⫘$3884$⨓$1124$)⨟⋌⩍(($3869$⫥∨⫟$7100$)≧⫂∧($3704$↙$1893$))∲⫓(($6859$⪨≂$6157$)⪛($8646$⋳⪒$1133$)⊘)","expression":"((⊺⇮6191-⊺⇮2026)⨐⩸⫘⊺⇮3884⨓⊺⇮1124)⨟⋌⩍((⊺⇮3869⫥∨⫟⊺⇮7100)≧⫂∧(⊺⇮3704↙⊺⇮1893))∲⫓((⊺⇮6859⪨≂⊺⇮6157)⪛(⊺⇮8646⋳⪒⊺⇮1133)⊘)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3221,"operation_count":12,"complexity_ratio":268.4166666666667,"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":6191,"base":10},"right_expr":{"type":"numeric_atoms","value":2026,"base":10}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3884,"base":10},"right_expr":{"type":"numeric_atoms","value":1124,"base":10}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3869,"base":10},"right_expr":{"type":"numeric_atoms","value":7100,"base":10}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3704,"base":10},"right_expr":{"type":"numeric_atoms","value":1893,"base":10}}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":6859,"base":10},"right_expr":{"type":"numeric_atoms","value":6157,"base":10}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":8646,"base":10},"right_expr":{"type":"numeric_atoms","value":1133,"base":10}}}}},"used_operators":["i8ToyICDmI","rGHVDoGpnC","fu6greOZ01","rysDP5nf3Z","3ViojmjbAp","Ph9nP6C5qx","KYD54nUTWz","yyfyN0ffXY","gu96TGCTMs","uFcxV4UQCh","sdazOOVcIp","12rbrZMWeM"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","3ViojmjbAp","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","tmPS8pqC7x","DpFCA1CohY","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6191","layer":4},{"info":"number node, value=2026","layer":4},{"info":"compute binary expreesion, left_input=6191, right_input=2026, op_id = rysDP5nf3Z binary_op_definition= 'None', output=4165","layer":3},{"info":"number node, value=3884","layer":4},{"info":"number node, value=1124","layer":4},{"info":"compute binary expreesion, left_input=3884, right_input=1124, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1127","layer":3},{"info":"compute binary expreesion, left_input=4165, right_input=-1127, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=3869","layer":4},{"info":"number node, value=7100","layer":4},{"info":"compute binary expreesion, left_input=3869, right_input=7100, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=3704","layer":4},{"info":"number node, value=1893","layer":4},{"info":"compute binary expreesion, left_input=3704, right_input=1893, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5679","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5679, 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 = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=6859","layer":4},{"info":"number node, value=6157","layer":4},{"info":"compute binary expreesion, left_input=6859, right_input=6157, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=1506","layer":3},{"info":"number node, value=8646","layer":4},{"info":"number node, value=1133","layer":4},{"info":"compute binary expreesion, left_input=8646, right_input=1133, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=15872","layer":3},{"info":"compute binary expreesion, left_input=1506, right_input=15872, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1506","layer":2},{"info":"compute unary expreesion, input=1506, 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 = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮6191-⊺⇮2026)⨐⩸⫘⊺⇮3884⨓⊺⇮1124)⨟⋌⩍((⊺⇮3869⫥∨⫟⊺⇮7100)≧⫂∧(⊺⇮3704↙⊺⇮1893))∲⫓((⊺⇮6859⪨≂⊺⇮6157)⪛(⊺⇮8646⋳⪒⊺⇮1133)⊘)=NaN","reverse_text":"NaN=((⊺⇮6191-⊺⇮2026)⨐⩸⫘⊺⇮3884⨓⊺⇮1124)⨟⋌⩍((⊺⇮3869⫥∨⫟⊺⇮7100)≧⫂∧(⊺⇮3704↙⊺⇮1893))∲⫓((⊺⇮6859⪨≂⊺⇮6157)⪛(⊺⇮8646⋳⪒⊺⇮1133)⊘)","cot":[{"info":"⊺⇮6191-⊺⇮2026=⊺⇮4165","layer":3},{"info":"⊺⇮3884⨓⊺⇮1124=⊺⇮-1127","layer":3},{"info":"⊺⇮4165⨐⩸⫘⊺⇮-1127=NaN","layer":2},{"info":"⊺⇮3869⫥∨⫟⊺⇮7100=NaN","layer":3},{"info":"⊺⇮3704↙⊺⇮1893=⊺⇮-5679","layer":3},{"info":"NaN≧⫂∧⊺⇮-5679=NaN","layer":2},{"info":"NaN⨟⋌⩍NaN=NaN","layer":1},{"info":"⊺⇮6859⪨≂⊺⇮6157=⊺⇮1506","layer":3},{"info":"⊺⇮8646⋳⪒⊺⇮1133=⊺⇮15872","layer":3},{"info":"⊺⇮1506⪛⊺⇮15872=⊺⇮1506","layer":2},{"info":"⊺⇮1506⊘=⊺⇮0","layer":1},{"info":"NaN∲⫓⊺⇮0=NaN","layer":0}]}
{"id":147,"expression_no_base_symbol":"+⊝⨔(⋗⩬⋾($2350$⪒$2241$⪨≂$1546$⨓$3076$))","expression":"+⊝⨔(⋗⩬⋾(⊺⇮2350⪒⊺⇮2241⪨≂⊺⇮1546⨓⊺⇮3076))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3133,"operation_count":5,"complexity_ratio":626.6,"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":2350,"base":10},"right_expr":{"type":"numeric_atoms","value":2241,"base":10}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1546,"base":10},"right_expr":{"type":"numeric_atoms","value":3076,"base":10}}}}},"used_operators":["DhbWaqg5eL","DpFCA1CohY","sdazOOVcIp","f6k1SAg4EE","3ViojmjbAp"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"⊺⇮1522","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2350","layer":4},{"info":"number node, value=2241","layer":4},{"info":"compute binary expreesion, left_input=2350, right_input=2241, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4591","layer":3},{"info":"number node, value=1546","layer":4},{"info":"number node, value=3076","layer":4},{"info":"compute binary expreesion, left_input=1546, right_input=3076, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3079","layer":3},{"info":"compute binary expreesion, left_input=-4591, right_input=-3079, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-2922","layer":2},{"info":"compute unary expreesion, input=-2922, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=8766","layer":1},{"info":"compute unary expreesion, input=8766, 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":10,"result_base":10,"text":"+⊝⨔(⋗⩬⋾(⊺⇮2350⪒⊺⇮2241⪨≂⊺⇮1546⨓⊺⇮3076))=⊺⇮1522","reverse_text":"⊺⇮1522=+⊝⨔(⋗⩬⋾(⊺⇮2350⪒⊺⇮2241⪨≂⊺⇮1546⨓⊺⇮3076))","cot":[{"info":"⊺⇮2350⪒⊺⇮2241=⊺⇮-4591","layer":3},{"info":"⊺⇮1546⨓⊺⇮3076=⊺⇮-3079","layer":3},{"info":"⊺⇮-4591⪨≂⊺⇮-3079=⊺⇮-2922","layer":2},{"info":"⋗⩬⋾⊺⇮-2922=⊺⇮8766","layer":1},{"info":"+⊝⨔⊺⇮8766=⊺⇮1522","layer":0}]}
{"id":148,"expression_no_base_symbol":"⨵≀≌(⨞⊢$5920$⨽$3943$)⪄(⨵≀≌($4814$⊭↱$4554$))","expression":"⨵≀≌(⨞⊢⊺⇮5920⨽⊺⇮3943)⪄(⨵≀≌(⊺⇮4814⊭↱⊺⇮4554))","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6558,"operation_count":6,"complexity_ratio":1093.0,"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":5920,"base":10},"right_expr":{"type":"numeric_atoms","value":3943,"base":10}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4814,"base":10},"right_expr":{"type":"numeric_atoms","value":4554,"base":10}}}}},"used_operators":["srAu1WTS94","SUmda5xLS4","xUOZtlo3hN","8HhzD0ZcuI","COABgblf1C"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd"],"result":"Inf","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5920","layer":4},{"info":"number node, value=3943","layer":4},{"info":"compute binary expreesion, left_input=5920, right_input=3943, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-105149715","layer":3},{"info":"compute unary expreesion, input=-105149715, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=105149541","layer":2},{"info":"number node, value=4814","layer":4},{"info":"number node, value=4554","layer":4},{"info":"compute binary expreesion, left_input=4814, right_input=4554, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-515","layer":3},{"info":"compute unary expreesion, input=-515, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=265225","layer":2},{"info":"compute binary expreesion, left_input=105149541, right_input=265225, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-inf","layer":1},{"info":"compute unary expreesion, input=-inf, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=inf","layer":0}],"base":10,"result_base":10,"text":"⨵≀≌(⨞⊢⊺⇮5920⨽⊺⇮3943)⪄(⨵≀≌(⊺⇮4814⊭↱⊺⇮4554))=Inf","reverse_text":"Inf=⨵≀≌(⨞⊢⊺⇮5920⨽⊺⇮3943)⪄(⨵≀≌(⊺⇮4814⊭↱⊺⇮4554))","cot":[{"info":"⊺⇮5920⨽⊺⇮3943=⊺⇮-105149715","layer":3},{"info":"⨞⊢⊺⇮-105149715=⊺⇮105149541","layer":2},{"info":"⊺⇮4814⊭↱⊺⇮4554=⊺⇮-515","layer":3},{"info":"⨵≀≌⊺⇮-515=⊺⇮265225","layer":2},{"info":"⊺⇮105149541⪄⊺⇮265225=-Inf","layer":1},{"info":"⨵≀≌-Inf=Inf","layer":0}]}
{"id":149,"expression_no_base_symbol":"(($1045$-$5788$)⨽$2133$⋥≓≎$5220$≣⋋)⫩⊇","expression":"((⊺⇮1045-⊺⇮5788)⨽⊺⇮2133⋥≓≎⊺⇮5220≣⋋)⫩⊇","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":5273,"operation_count":5,"complexity_ratio":1054.6,"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":1045,"base":10},"right_expr":{"type":"numeric_atoms","value":5788,"base":10}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2133,"base":10},"right_expr":{"type":"numeric_atoms","value":5220,"base":10}}}}},"used_operators":["BjRHVeLaeN","Tcnh7f0tEr","8HhzD0ZcuI","rysDP5nf3Z","Qy55tPpLXF"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1045","layer":4},{"info":"number node, value=5788","layer":4},{"info":"compute binary expreesion, left_input=1045, right_input=5788, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-4743","layer":3},{"info":"number node, value=2133","layer":4},{"info":"number node, value=5220","layer":4},{"info":"compute binary expreesion, left_input=2133, right_input=5220, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=8340","layer":3},{"info":"compute binary expreesion, left_input=-4743, right_input=8340, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-67511853","layer":2},{"info":"compute unary expreesion, input=-67511853, 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 = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1045-⊺⇮5788)⨽⊺⇮2133⋥≓≎⊺⇮5220≣⋋)⫩⊇=NaN","reverse_text":"NaN=((⊺⇮1045-⊺⇮5788)⨽⊺⇮2133⋥≓≎⊺⇮5220≣⋋)⫩⊇","cot":[{"info":"⊺⇮1045-⊺⇮5788=⊺⇮-4743","layer":3},{"info":"⊺⇮2133⋥≓≎⊺⇮5220=⊺⇮8340","layer":3},{"info":"⊺⇮-4743⨽⊺⇮8340=⊺⇮-67511853","layer":2},{"info":"⊺⇮-67511853≣⋋=NaN","layer":1},{"info":"NaN⫩⊇=NaN","layer":0}]}
{"id":150,"expression_no_base_symbol":"(⨞⊢($9162$⊘))⇷($2197$⩷∴$1217$)⪢($2304$⪛$1493$)⨓(($6163$⊉≛↸$2288$)⪄$3915$⨎$5648$⪒($1620$-$5121$)⨪↰⇹($8320$⋳⪒$2158$))","expression":"(⨞⊢(⊺⇮9162⊘))⇷(⊺⇮2197⩷∴⊺⇮1217)⪢(⊺⇮2304⪛⊺⇮1493)⨓((⊺⇮6163⊉≛↸⊺⇮2288)⪄⊺⇮3915⨎⊺⇮5648⪒(⊺⇮1620-⊺⇮5121)⨪↰⇹(⊺⇮8320⋳⪒⊺⇮2158))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":7209,"operation_count":14,"complexity_ratio":514.9285714285714,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":9162,"base":10}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2197,"base":10},"right_expr":{"type":"numeric_atoms","value":1217,"base":10}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2304,"base":10},"right_expr":{"type":"numeric_atoms","value":1493,"base":10}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":6163,"base":10},"right_expr":{"type":"numeric_atoms","value":2288,"base":10}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3915,"base":10},"right_expr":{"type":"numeric_atoms","value":5648,"base":10}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1620,"base":10},"right_expr":{"type":"numeric_atoms","value":5121,"base":10}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":8320,"base":10},"right_expr":{"type":"numeric_atoms","value":2158,"base":10}}}}},"used_operators":["3ViojmjbAp","mp7IySMOzn","xUOZtlo3hN","gu96TGCTMs","dWAJyo7jo9","9FxExcQeMw","uFcxV4UQCh","f6k1SAg4EE","SUmda5xLS4","DZ8iAZOCBD","rJVOvQCfKK","tmPS8pqC7x","rysDP5nf3Z","12rbrZMWeM"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","k8jYdgA6NY","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=9162","layer":4},{"info":"compute unary expreesion, input=9162, 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 = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-174","layer":2},{"info":"number node, value=2197","layer":4},{"info":"number node, value=1217","layer":4},{"info":"compute binary expreesion, left_input=2197, right_input=1217, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1928","layer":3},{"info":"number node, value=2304","layer":4},{"info":"number node, value=1493","layer":4},{"info":"compute binary expreesion, left_input=2304, right_input=1493, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=811","layer":3},{"info":"compute binary expreesion, left_input=1928, right_input=811, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=-174, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"number node, value=6163","layer":4},{"info":"number node, value=2288","layer":4},{"info":"compute binary expreesion, left_input=6163, right_input=2288, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=12326","layer":3},{"info":"number node, value=3915","layer":4},{"info":"number node, value=5648","layer":4},{"info":"compute binary expreesion, left_input=3915, right_input=5648, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5648","layer":3},{"info":"compute binary expreesion, left_input=12326, right_input=5648, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1842929","layer":2},{"info":"number node, value=1620","layer":4},{"info":"number node, value=5121","layer":4},{"info":"compute binary expreesion, left_input=1620, right_input=5121, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3501","layer":3},{"info":"number node, value=8320","layer":4},{"info":"number node, value=2158","layer":4},{"info":"compute binary expreesion, left_input=8320, right_input=2158, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=14195","layer":3},{"info":"compute binary expreesion, left_input=-3501, right_input=14195, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3501","layer":2},{"info":"compute binary expreesion, left_input=-1842929, right_input=3501, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=1839428","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1839428, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⨞⊢(⊺⇮9162⊘))⇷(⊺⇮2197⩷∴⊺⇮1217)⪢(⊺⇮2304⪛⊺⇮1493)⨓((⊺⇮6163⊉≛↸⊺⇮2288)⪄⊺⇮3915⨎⊺⇮5648⪒(⊺⇮1620-⊺⇮5121)⨪↰⇹(⊺⇮8320⋳⪒⊺⇮2158))=NaN","reverse_text":"NaN=(⨞⊢(⊺⇮9162⊘))⇷(⊺⇮2197⩷∴⊺⇮1217)⪢(⊺⇮2304⪛⊺⇮1493)⨓((⊺⇮6163⊉≛↸⊺⇮2288)⪄⊺⇮3915⨎⊺⇮5648⪒(⊺⇮1620-⊺⇮5121)⨪↰⇹(⊺⇮8320⋳⪒⊺⇮2158))","cot":[{"info":"⊺⇮9162⊘=⊺⇮0","layer":3},{"info":"⨞⊢⊺⇮0=⊺⇮-174","layer":2},{"info":"⊺⇮2197⩷∴⊺⇮1217=⊺⇮1928","layer":3},{"info":"⊺⇮2304⪛⊺⇮1493=⊺⇮811","layer":3},{"info":"⊺⇮1928⪢⊺⇮811=NaN","layer":2},{"info":"⊺⇮-174⇷NaN=NaN","layer":1},{"info":"⊺⇮6163⊉≛↸⊺⇮2288=⊺⇮12326","layer":3},{"info":"⊺⇮3915⨎⊺⇮5648=⊺⇮5648","layer":3},{"info":"⊺⇮12326⪄⊺⇮5648=⊺⇮-1842929","layer":2},{"info":"⊺⇮1620-⊺⇮5121=⊺⇮-3501","layer":3},{"info":"⊺⇮8320⋳⪒⊺⇮2158=⊺⇮14195","layer":3},{"info":"⊺⇮-3501⨪↰⇹⊺⇮14195=⊺⇮3501","layer":2},{"info":"⊺⇮-1842929⪒⊺⇮3501=⊺⇮1839428","layer":1},{"info":"NaN⨓⊺⇮1839428=NaN","layer":0}]}
{"id":151,"expression_no_base_symbol":"(≉(-$2442$))≧⫂∧($2309$∲⫓$2769$)∀⇚≩($7619$↙$1630$)↺(($1995$⊭↱$2899$)⇷(⪲⇎$7405$)%($4775$∧)⪮%⊝($2002$⩨$1842$))","expression":"(≉(-⊺⇮2442))≧⫂∧(⊺⇮2309∲⫓⊺⇮2769)∀⇚≩(⊺⇮7619↙⊺⇮1630)↺((⊺⇮1995⊭↱⊺⇮2899)⇷(⪲⇎⊺⇮7405)%(⊺⇮4775∧)⪮%⊝(⊺⇮2002⩨⊺⇮1842))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":27058,"operation_count":14,"complexity_ratio":1932.7142857142858,"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":2442,"base":10}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2309,"base":10},"right_expr":{"type":"numeric_atoms","value":2769,"base":10}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":7619,"base":10},"right_expr":{"type":"numeric_atoms","value":1630,"base":10}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1995,"base":10},"right_expr":{"type":"numeric_atoms","value":2899,"base":10}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":7405,"base":10}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":4775,"base":10}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2002,"base":10},"right_expr":{"type":"numeric_atoms","value":1842,"base":10}}}}},"used_operators":["7j4O788W3g","Ph9nP6C5qx","e1ybzncUwg","t8gj7n24qd","LRNGc0VcxI","i8ToyICDmI","yyfyN0ffXY","k8jYdgA6NY","mp7IySMOzn","COABgblf1C","XPYlsWDdGa","IWmyXbctLI","z63VuFQld9","2DlMacCsIx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2442","layer":4},{"info":"compute unary expreesion, input=2442, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2442","layer":3},{"info":"compute unary expreesion, input=-2442, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-2442","layer":2},{"info":"number node, value=2309","layer":4},{"info":"number node, value=2769","layer":4},{"info":"compute binary expreesion, left_input=2309, right_input=2769, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=7619","layer":4},{"info":"number node, value=1630","layer":4},{"info":"compute binary expreesion, left_input=7619, right_input=1630, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4890","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-4890, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=-4890","layer":2},{"info":"compute binary expreesion, left_input=-2442, right_input=-4890, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2448","layer":1},{"info":"number node, value=1995","layer":4},{"info":"number node, value=2899","layer":4},{"info":"compute binary expreesion, left_input=1995, right_input=2899, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=1813","layer":3},{"info":"number node, value=7405","layer":4},{"info":"compute unary expreesion, input=7405, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=14810","layer":3},{"info":"compute binary expreesion, left_input=1813, right_input=14810, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=29620","layer":2},{"info":"number node, value=4775","layer":4},{"info":"compute unary expreesion, input=4775, 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=2002","layer":4},{"info":"number node, value=1842","layer":4},{"info":"compute binary expreesion, left_input=2002, right_input=1842, 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 = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=29620, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2448, 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":10,"result_base":10,"text":"(≉(-⊺⇮2442))≧⫂∧(⊺⇮2309∲⫓⊺⇮2769)∀⇚≩(⊺⇮7619↙⊺⇮1630)↺((⊺⇮1995⊭↱⊺⇮2899)⇷(⪲⇎⊺⇮7405)%(⊺⇮4775∧)⪮%⊝(⊺⇮2002⩨⊺⇮1842))=NaN","reverse_text":"NaN=(≉(-⊺⇮2442))≧⫂∧(⊺⇮2309∲⫓⊺⇮2769)∀⇚≩(⊺⇮7619↙⊺⇮1630)↺((⊺⇮1995⊭↱⊺⇮2899)⇷(⪲⇎⊺⇮7405)%(⊺⇮4775∧)⪮%⊝(⊺⇮2002⩨⊺⇮1842))","cot":[{"info":"-⊺⇮2442=⊺⇮-2442","layer":3},{"info":"≉⊺⇮-2442=⊺⇮-2442","layer":2},{"info":"⊺⇮2309∲⫓⊺⇮2769=⊺⇮0","layer":3},{"info":"⊺⇮7619↙⊺⇮1630=⊺⇮-4890","layer":3},{"info":"⊺⇮0∀⇚≩⊺⇮-4890=⊺⇮-4890","layer":2},{"info":"⊺⇮-2442≧⫂∧⊺⇮-4890=⊺⇮2448","layer":1},{"info":"⊺⇮1995⊭↱⊺⇮2899=⊺⇮1813","layer":3},{"info":"⪲⇎⊺⇮7405=⊺⇮14810","layer":3},{"info":"⊺⇮1813⇷⊺⇮14810=⊺⇮29620","layer":2},{"info":"⊺⇮4775∧=NaN","layer":3},{"info":"⊺⇮2002⩨⊺⇮1842=⊺⇮0","layer":3},{"info":"NaN⪮%⊝⊺⇮0=NaN","layer":2},{"info":"⊺⇮29620%NaN=NaN","layer":1},{"info":"⊺⇮2448↺NaN=NaN","layer":0}]}
{"id":152,"expression_no_base_symbol":"((($1061$⋫)⇋≉)⩨($7201$≦≮≮)≹⇙⪍($1063$⫸⊐$2518$))⨰((↣≠⋷($4067$⪮%⊝$3752$))∲⫓(≉$3850$⨪↰⇹$1626$))","expression":"(((⊺⇮1061⋫)⇋≉)⩨(⊺⇮7201≦≮≮)≹⇙⪍(⊺⇮1063⫸⊐⊺⇮2518))⨰((↣≠⋷(⊺⇮4067⪮%⊝⊺⇮3752))∲⫓(≉⊺⇮3850⨪↰⇹⊺⇮1626))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4968,"operation_count":12,"complexity_ratio":414.0,"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":1061,"base":10}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":7201,"base":10}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1063,"base":10},"right_expr":{"type":"numeric_atoms","value":2518,"base":10}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4067,"base":10},"right_expr":{"type":"numeric_atoms","value":3752,"base":10}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3850,"base":10},"right_expr":{"type":"numeric_atoms","value":1626,"base":10}}}}},"used_operators":["eewbuw0ToL","2DlMacCsIx","XIabStNQrY","JL8yIekQnl","AHs5Up7iyr","D4vGDi5EA2","mqXw5SEYmG","i8ToyICDmI","Asc51vEJeQ","IWmyXbctLI","e1ybzncUwg","tmPS8pqC7x"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1061","layer":4},{"info":"compute unary expreesion, input=1061, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1061","layer":3},{"info":"compute unary expreesion, input=1061, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=2024","layer":2},{"info":"number node, value=7201","layer":4},{"info":"compute unary expreesion, input=7201, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-21603","layer":3},{"info":"number node, value=1063","layer":4},{"info":"number node, value=2518","layer":4},{"info":"compute binary expreesion, left_input=1063, right_input=2518, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=9947","layer":3},{"info":"compute binary expreesion, left_input=-21603, right_input=9947, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=2024, 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=4067","layer":4},{"info":"number node, value=3752","layer":4},{"info":"compute binary expreesion, left_input=4067, right_input=3752, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=8450","layer":3},{"info":"compute unary expreesion, input=8450, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=3850","layer":4},{"info":"number node, value=1626","layer":4},{"info":"compute binary expreesion, left_input=3850, right_input=1626, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3850","layer":3},{"info":"compute unary expreesion, input=3850, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=4381","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4381, 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=nan, right_input=0, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮1061⋫)⇋≉)⩨(⊺⇮7201≦≮≮)≹⇙⪍(⊺⇮1063⫸⊐⊺⇮2518))⨰((↣≠⋷(⊺⇮4067⪮%⊝⊺⇮3752))∲⫓(≉⊺⇮3850⨪↰⇹⊺⇮1626))=NaN","reverse_text":"NaN=(((⊺⇮1061⋫)⇋≉)⩨(⊺⇮7201≦≮≮)≹⇙⪍(⊺⇮1063⫸⊐⊺⇮2518))⨰((↣≠⋷(⊺⇮4067⪮%⊝⊺⇮3752))∲⫓(≉⊺⇮3850⨪↰⇹⊺⇮1626))","cot":[{"info":"⊺⇮1061⋫=⊺⇮1061","layer":3},{"info":"⊺⇮1061⇋≉=⊺⇮2024","layer":2},{"info":"⊺⇮7201≦≮≮=⊺⇮-21603","layer":3},{"info":"⊺⇮1063⫸⊐⊺⇮2518=⊺⇮9947","layer":3},{"info":"⊺⇮-21603≹⇙⪍⊺⇮9947=NaN","layer":2},{"info":"⊺⇮2024⩨NaN=NaN","layer":1},{"info":"⊺⇮4067⪮%⊝⊺⇮3752=⊺⇮8450","layer":3},{"info":"↣≠⋷⊺⇮8450=NaN","layer":2},{"info":"⊺⇮3850⨪↰⇹⊺⇮1626=⊺⇮3850","layer":3},{"info":"≉⊺⇮3850=⊺⇮4381","layer":2},{"info":"NaN∲⫓⊺⇮4381=⊺⇮0","layer":1},{"info":"NaN⨰⊺⇮0=NaN","layer":0}]}
{"id":153,"expression_no_base_symbol":"(($4008$-$1415$)≭$2830$⪛$1158$⋷($4467$↬$1363$⊪))⪒($7894$-$1141$)∼($4817$∲⫓$3977$)∑⇟⊟($1544$⨽$7253$⪄($1100$⊦⊿))","expression":"((⊺⇮4008-⊺⇮1415)≭⊺⇮2830⪛⊺⇮1158⋷(⊺⇮4467↬⊺⇮1363⊪))⪒(⊺⇮7894-⊺⇮1141)∼(⊺⇮4817∲⫓⊺⇮3977)∑⇟⊟(⊺⇮1544⨽⊺⇮7253⪄(⊺⇮1100⊦⊿))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1834,"operation_count":14,"complexity_ratio":131.0,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4008,"base":10},"right_expr":{"type":"numeric_atoms","value":1415,"base":10}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2830,"base":10},"right_expr":{"type":"numeric_atoms","value":1158,"base":10}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4467,"base":10},"right_expr":{"type":"numeric_atoms","value":1363,"base":10}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":7894,"base":10},"right_expr":{"type":"numeric_atoms","value":1141,"base":10}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4817,"base":10},"right_expr":{"type":"numeric_atoms","value":3977,"base":10}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1544,"base":10},"right_expr":{"type":"numeric_atoms","value":7253,"base":10}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1100,"base":10}}}}},"used_operators":["f6k1SAg4EE","23Mk6UjR3U","rxpJgHHUmx","rysDP5nf3Z","uFcxV4UQCh","zVYPLywUTj","B5M0gjZbta","U7g4x0WXJJ","DyGG3AbaNP","i8ToyICDmI","SUmda5xLS4","8HhzD0ZcuI","14qkJME0vr"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rGHVDoGpnC","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4008","layer":4},{"info":"number node, value=1415","layer":4},{"info":"compute binary expreesion, left_input=4008, right_input=1415, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2593","layer":3},{"info":"number node, value=2830","layer":4},{"info":"number node, value=1158","layer":4},{"info":"compute binary expreesion, left_input=2830, right_input=1158, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=514","layer":3},{"info":"compute binary expreesion, left_input=2593, right_input=514, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=4467","layer":4},{"info":"number node, value=1363","layer":4},{"info":"compute binary expreesion, left_input=4467, right_input=1363, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":1},{"info":"number node, value=7894","layer":4},{"info":"number node, value=1141","layer":4},{"info":"compute binary expreesion, left_input=7894, right_input=1141, op_id = rysDP5nf3Z binary_op_definition= 'None', output=6753","layer":3},{"info":"number node, value=4817","layer":4},{"info":"number node, value=3977","layer":4},{"info":"compute binary expreesion, left_input=4817, right_input=3977, 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=6753, right_input=0, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=20","layer":2},{"info":"number node, value=1544","layer":4},{"info":"number node, value=7253","layer":4},{"info":"compute binary expreesion, left_input=1544, right_input=7253, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-7172253","layer":3},{"info":"number node, value=1100","layer":4},{"info":"compute unary expreesion, input=1100, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-3379","layer":3},{"info":"compute binary expreesion, left_input=-7172253, right_input=-3379, 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=20, right_input=3979, 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 = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮4008-⊺⇮1415)≭⊺⇮2830⪛⊺⇮1158⋷(⊺⇮4467↬⊺⇮1363⊪))⪒(⊺⇮7894-⊺⇮1141)∼(⊺⇮4817∲⫓⊺⇮3977)∑⇟⊟(⊺⇮1544⨽⊺⇮7253⪄(⊺⇮1100⊦⊿))=NaN","reverse_text":"NaN=((⊺⇮4008-⊺⇮1415)≭⊺⇮2830⪛⊺⇮1158⋷(⊺⇮4467↬⊺⇮1363⊪))⪒(⊺⇮7894-⊺⇮1141)∼(⊺⇮4817∲⫓⊺⇮3977)∑⇟⊟(⊺⇮1544⨽⊺⇮7253⪄(⊺⇮1100⊦⊿))","cot":[{"info":"⊺⇮4008-⊺⇮1415=⊺⇮2593","layer":3},{"info":"⊺⇮2830⪛⊺⇮1158=⊺⇮514","layer":3},{"info":"⊺⇮2593≭⊺⇮514=NaN","layer":2},{"info":"⊺⇮4467↬⊺⇮1363=NaN","layer":3},{"info":"NaN⊪=NaN","layer":2},{"info":"NaN⋷NaN=NaN","layer":1},{"info":"⊺⇮7894-⊺⇮1141=⊺⇮6753","layer":3},{"info":"⊺⇮4817∲⫓⊺⇮3977=⊺⇮0","layer":3},{"info":"⊺⇮6753∼⊺⇮0=⊺⇮20","layer":2},{"info":"⊺⇮1544⨽⊺⇮7253=⊺⇮-7172253","layer":3},{"info":"⊺⇮1100⊦⊿=⊺⇮-3379","layer":3},{"info":"⊺⇮-7172253⪄⊺⇮-3379=⊺⇮3979","layer":2},{"info":"⊺⇮20∑⇟⊟⊺⇮3979=NaN","layer":1},{"info":"NaN⪒NaN=NaN","layer":0}]}
{"id":154,"expression_no_base_symbol":"($4880$⨳⩥⨓$3289$/(↣≠⋷$4644$))≹⇙⪍(($1856$⨎$4384$)⨰$2786$≹⇙⪍$2046$)⨎(($1157$⩠)⇷($1564$⋓$7963$))⪢((⇁⨣⪵$3446$)⨪↰⇹(↽≂$1088$))","expression":"(⊺⇮4880⨳⩥⨓⊺⇮3289/(↣≠⋷⊺⇮4644))≹⇙⪍((⊺⇮1856⨎⊺⇮4384)⨰⊺⇮2786≹⇙⪍⊺⇮2046)⨎((⊺⇮1157⩠)⇷(⊺⇮1564⋓⊺⇮7963))⪢((⇁⨣⪵⊺⇮3446)⨪↰⇹(↽≂⊺⇮1088))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":61,"operation_count":15,"complexity_ratio":4.066666666666666,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4880,"base":10},"right_expr":{"type":"numeric_atoms","value":3289,"base":10}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":4644,"base":10}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1856,"base":10},"right_expr":{"type":"numeric_atoms","value":4384,"base":10}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2786,"base":10},"right_expr":{"type":"numeric_atoms","value":2046,"base":10}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1157,"base":10}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1564,"base":10},"right_expr":{"type":"numeric_atoms","value":7963,"base":10}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":3446,"base":10}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1088,"base":10}}}}},"used_operators":["rJVOvQCfKK","AHs5Up7iyr","XhwjNDsVaA","nCS4ZIUYfx","Asc51vEJeQ","eewbuw0ToL","dWAJyo7jo9","mp7IySMOzn","sJAwomhLZr","T2fj7uvVaJ","tmPS8pqC7x","inkyxCbjAn","u6S6b8DprG"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rJVOvQCfKK","B5M0gjZbta","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4880","layer":4},{"info":"number node, value=3289","layer":4},{"info":"compute binary expreesion, left_input=4880, right_input=3289, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1591","layer":3},{"info":"number node, value=4644","layer":4},{"info":"compute unary expreesion, input=4644, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1591, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1856","layer":4},{"info":"number node, value=4384","layer":4},{"info":"compute binary expreesion, left_input=1856, right_input=4384, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4384","layer":3},{"info":"number node, value=2786","layer":4},{"info":"number node, value=2046","layer":4},{"info":"compute binary expreesion, left_input=2786, right_input=2046, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=4384, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=1157","layer":4},{"info":"compute unary expreesion, input=1157, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=1564","layer":4},{"info":"number node, value=7963","layer":4},{"info":"compute binary expreesion, left_input=1564, right_input=7963, op_id = T2fj7uvVaJ binary_op_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 = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":2},{"info":"number node, value=3446","layer":4},{"info":"compute unary expreesion, input=3446, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', 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 = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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=0, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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":10,"result_base":10,"text":"(⊺⇮4880⨳⩥⨓⊺⇮3289/(↣≠⋷⊺⇮4644))≹⇙⪍((⊺⇮1856⨎⊺⇮4384)⨰⊺⇮2786≹⇙⪍⊺⇮2046)⨎((⊺⇮1157⩠)⇷(⊺⇮1564⋓⊺⇮7963))⪢((⇁⨣⪵⊺⇮3446)⨪↰⇹(↽≂⊺⇮1088))=NaN","reverse_text":"NaN=(⊺⇮4880⨳⩥⨓⊺⇮3289/(↣≠⋷⊺⇮4644))≹⇙⪍((⊺⇮1856⨎⊺⇮4384)⨰⊺⇮2786≹⇙⪍⊺⇮2046)⨎((⊺⇮1157⩠)⇷(⊺⇮1564⋓⊺⇮7963))⪢((⇁⨣⪵⊺⇮3446)⨪↰⇹(↽≂⊺⇮1088))","cot":[{"info":"⊺⇮4880⨳⩥⨓⊺⇮3289=⊺⇮-1591","layer":3},{"info":"↣≠⋷⊺⇮4644=NaN","layer":3},{"info":"⊺⇮-1591/NaN=NaN","layer":2},{"info":"⊺⇮1856⨎⊺⇮4384=⊺⇮4384","layer":3},{"info":"⊺⇮2786≹⇙⪍⊺⇮2046=NaN","layer":3},{"info":"⊺⇮4384⨰NaN=NaN","layer":2},{"info":"NaN≹⇙⪍NaN=NaN","layer":1},{"info":"⊺⇮1157⩠=⊺⇮0","layer":3},{"info":"⊺⇮1564⋓⊺⇮7963=⊺⇮0","layer":3},{"info":"⊺⇮0⇷⊺⇮0=⊺⇮0","layer":2},{"info":"⇁⨣⪵⊺⇮3446=NaN","layer":3},{"info":"↽≂⊺⇮1088=⊺⇮-2176","layer":3},{"info":"NaN⨪↰⇹⊺⇮-2176=NaN","layer":2},{"info":"⊺⇮0⪢NaN=NaN","layer":1},{"info":"NaN⨎NaN=NaN","layer":0}]}
{"id":155,"expression_no_base_symbol":"(($1286$⨸⪁$1216$)↬($3864$⫩⊇)⪨≂($2206$↺$1408$)⫥∨⫟$5520$⊴$1874$)⨎($3167$≭$2019$+($3239$⫡⨏$1388$))⋝⋈⪟($1171$⩚⊴⇥$1847$⇼⇔∾$2618$⪘⫢$7760$)","expression":"((⊺⇮1286⨸⪁⊺⇮1216)↬(⊺⇮3864⫩⊇)⪨≂(⊺⇮2206↺⊺⇮1408)⫥∨⫟⊺⇮5520⊴⊺⇮1874)⨎(⊺⇮3167≭⊺⇮2019+(⊺⇮3239⫡⨏⊺⇮1388))⋝⋈⪟(⊺⇮1171⩚⊴⇥⊺⇮1847⇼⇔∾⊺⇮2618⪘⫢⊺⇮7760)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2568,"operation_count":15,"complexity_ratio":171.2,"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":1286,"base":10},"right_expr":{"type":"numeric_atoms","value":1216,"base":10}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":3864,"base":10}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2206,"base":10},"right_expr":{"type":"numeric_atoms","value":1408,"base":10}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":5520,"base":10},"right_expr":{"type":"numeric_atoms","value":1874,"base":10}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3167,"base":10},"right_expr":{"type":"numeric_atoms","value":2019,"base":10}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3239,"base":10},"right_expr":{"type":"numeric_atoms","value":1388,"base":10}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1171,"base":10},"right_expr":{"type":"numeric_atoms","value":1847,"base":10}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2618,"base":10},"right_expr":{"type":"numeric_atoms","value":7760,"base":10}}}}},"used_operators":["rJVOvQCfKK","sdazOOVcIp","B5M0gjZbta","g55IO6H4Gj","BjRHVeLaeN","KYD54nUTWz","7j4O788W3g","Nsiff2A1zJ","2DDjHMKMc0","W4YGzv6Whe","rxpJgHHUmx","QMFrweE19q","tifHPKVTfV","NTOWxs364D","oacrs7FA3X"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1286","layer":4},{"info":"number node, value=1216","layer":4},{"info":"compute binary expreesion, left_input=1286, right_input=1216, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=5004","layer":3},{"info":"number node, value=3864","layer":4},{"info":"compute unary expreesion, input=3864, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-3822","layer":3},{"info":"compute binary expreesion, left_input=5004, right_input=-3822, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=2206","layer":4},{"info":"number node, value=1408","layer":4},{"info":"compute binary expreesion, left_input=2206, right_input=1408, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1408","layer":3},{"info":"number node, value=5520","layer":4},{"info":"number node, value=1874","layer":4},{"info":"compute binary expreesion, left_input=5520, right_input=1874, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1408, 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 = 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=3167","layer":4},{"info":"number node, value=2019","layer":4},{"info":"compute binary expreesion, left_input=3167, right_input=2019, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=3239","layer":4},{"info":"number node, value=1388","layer":4},{"info":"compute binary expreesion, left_input=3239, right_input=1388, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=19754","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=19754, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1171","layer":4},{"info":"number node, value=1847","layer":4},{"info":"compute binary expreesion, left_input=1171, right_input=1847, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3139","layer":3},{"info":"number node, value=2618","layer":4},{"info":"number node, value=7760","layer":4},{"info":"compute binary expreesion, left_input=2618, right_input=7760, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5112","layer":3},{"info":"compute binary expreesion, left_input=-3139, right_input=5112, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=8251","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=8251, 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 = 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":10,"result_base":10,"text":"((⊺⇮1286⨸⪁⊺⇮1216)↬(⊺⇮3864⫩⊇)⪨≂(⊺⇮2206↺⊺⇮1408)⫥∨⫟⊺⇮5520⊴⊺⇮1874)⨎(⊺⇮3167≭⊺⇮2019+(⊺⇮3239⫡⨏⊺⇮1388))⋝⋈⪟(⊺⇮1171⩚⊴⇥⊺⇮1847⇼⇔∾⊺⇮2618⪘⫢⊺⇮7760)=NaN","reverse_text":"NaN=((⊺⇮1286⨸⪁⊺⇮1216)↬(⊺⇮3864⫩⊇)⪨≂(⊺⇮2206↺⊺⇮1408)⫥∨⫟⊺⇮5520⊴⊺⇮1874)⨎(⊺⇮3167≭⊺⇮2019+(⊺⇮3239⫡⨏⊺⇮1388))⋝⋈⪟(⊺⇮1171⩚⊴⇥⊺⇮1847⇼⇔∾⊺⇮2618⪘⫢⊺⇮7760)","cot":[{"info":"⊺⇮1286⨸⪁⊺⇮1216=⊺⇮5004","layer":3},{"info":"⊺⇮3864⫩⊇=⊺⇮-3822","layer":3},{"info":"⊺⇮5004↬⊺⇮-3822=NaN","layer":2},{"info":"⊺⇮2206↺⊺⇮1408=⊺⇮1408","layer":3},{"info":"⊺⇮5520⊴⊺⇮1874=NaN","layer":3},{"info":"⊺⇮1408⫥∨⫟NaN=NaN","layer":2},{"info":"NaN⪨≂NaN=NaN","layer":1},{"info":"⊺⇮3167≭⊺⇮2019=NaN","layer":3},{"info":"⊺⇮3239⫡⨏⊺⇮1388=⊺⇮19754","layer":3},{"info":"NaN+⊺⇮19754=NaN","layer":2},{"info":"⊺⇮1171⩚⊴⇥⊺⇮1847=⊺⇮-3139","layer":3},{"info":"⊺⇮2618⪘⫢⊺⇮7760=⊺⇮5112","layer":3},{"info":"⊺⇮-3139⇼⇔∾⊺⇮5112=⊺⇮8251","layer":2},{"info":"NaN⋝⋈⪟⊺⇮8251=NaN","layer":1},{"info":"NaN⨎NaN=NaN","layer":0}]}
{"id":156,"expression_no_base_symbol":"($2373$⫥∨⫟$2217$/$3378$⪛$2947$)↙($1048$⫸⊐$1736$)⋥≓≎(∥⊫$2168$)⨵⪆(($1151$⩷∴$1217$+$3229$≭$2420$)⩤)","expression":"(⊺⇮2373⫥∨⫟⊺⇮2217/⊺⇮3378⪛⊺⇮2947)↙(⊺⇮1048⫸⊐⊺⇮1736)⋥≓≎(∥⊫⊺⇮2168)⨵⪆((⊺⇮1151⩷∴⊺⇮1217+⊺⇮3229≭⊺⇮2420)⩤)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":202,"operation_count":12,"complexity_ratio":16.833333333333332,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2373,"base":10},"right_expr":{"type":"numeric_atoms","value":2217,"base":10}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3378,"base":10},"right_expr":{"type":"numeric_atoms","value":2947,"base":10}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1048,"base":10},"right_expr":{"type":"numeric_atoms","value":1736,"base":10}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":2168,"base":10}}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1151,"base":10},"right_expr":{"type":"numeric_atoms","value":1217,"base":10}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3229,"base":10},"right_expr":{"type":"numeric_atoms","value":2420,"base":10}}}}},"used_operators":["2DQ55sFlQl","yyfyN0ffXY","XhwjNDsVaA","KYD54nUTWz","uFcxV4UQCh","Qy55tPpLXF","mqXw5SEYmG","P8v4zCKN1o","Z2TMIBDE3Q","W4YGzv6Whe","9FxExcQeMw","rxpJgHHUmx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr"],"result":"⊺⇮160","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=2373","layer":4},{"info":"number node, value=2217","layer":4},{"info":"compute binary expreesion, left_input=2373, right_input=2217, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=3378","layer":4},{"info":"number node, value=2947","layer":4},{"info":"compute binary expreesion, left_input=3378, right_input=2947, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=431","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=431, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1048","layer":4},{"info":"number node, value=1736","layer":4},{"info":"compute binary expreesion, left_input=1048, right_input=1736, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6819","layer":3},{"info":"number node, value=2168","layer":4},{"info":"compute unary expreesion, input=2168, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3036","layer":3},{"info":"compute binary expreesion, left_input=6819, right_input=3036, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-714","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-714, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":1},{"info":"number node, value=1151","layer":4},{"info":"number node, value=1217","layer":4},{"info":"compute binary expreesion, left_input=1151, right_input=1217, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-164","layer":3},{"info":"number node, value=3229","layer":4},{"info":"number node, value=2420","layer":4},{"info":"compute binary expreesion, left_input=3229, right_input=2420, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=-164, right_input=nan, op_id = W4YGzv6Whe 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 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":10,"result_base":10,"text":"(⊺⇮2373⫥∨⫟⊺⇮2217/⊺⇮3378⪛⊺⇮2947)↙(⊺⇮1048⫸⊐⊺⇮1736)⋥≓≎(∥⊫⊺⇮2168)⨵⪆((⊺⇮1151⩷∴⊺⇮1217+⊺⇮3229≭⊺⇮2420)⩤)=⊺⇮160","reverse_text":"⊺⇮160=(⊺⇮2373⫥∨⫟⊺⇮2217/⊺⇮3378⪛⊺⇮2947)↙(⊺⇮1048⫸⊐⊺⇮1736)⋥≓≎(∥⊫⊺⇮2168)⨵⪆((⊺⇮1151⩷∴⊺⇮1217+⊺⇮3229≭⊺⇮2420)⩤)","cot":[{"info":"⊺⇮2373⫥∨⫟⊺⇮2217=NaN","layer":3},{"info":"⊺⇮3378⪛⊺⇮2947=⊺⇮431","layer":3},{"info":"NaN/⊺⇮431=NaN","layer":2},{"info":"⊺⇮1048⫸⊐⊺⇮1736=⊺⇮6819","layer":3},{"info":"∥⊫⊺⇮2168=⊺⇮3036","layer":3},{"info":"⊺⇮6819⋥≓≎⊺⇮3036=⊺⇮-714","layer":2},{"info":"NaN↙⊺⇮-714=NaN","layer":1},{"info":"⊺⇮1151⩷∴⊺⇮1217=⊺⇮-164","layer":3},{"info":"⊺⇮3229≭⊺⇮2420=NaN","layer":3},{"info":"⊺⇮-164+NaN=NaN","layer":2},{"info":"NaN⩤=NaN","layer":1},{"info":"NaN⨵⪆NaN=⊺⇮160","layer":0}]}
{"id":157,"expression_no_base_symbol":"($2867$*$3813$%$1179$⨟⋌⩍$1364$)≎⊠⪸(↽≂(↣≠⋷$3107$))⨁⊸⫻","expression":"(⊺⇮2867*⊺⇮3813%⊺⇮1179⨟⋌⩍⊺⇮1364)≎⊠⪸(↽≂(↣≠⋷⊺⇮3107))⨁⊸⫻","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2887,"operation_count":7,"complexity_ratio":412.42857142857144,"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":2867,"base":10},"right_expr":{"type":"numeric_atoms","value":3813,"base":10}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1179,"base":10},"right_expr":{"type":"numeric_atoms","value":1364,"base":10}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":3107,"base":10}}}}},"used_operators":["glklzrTFfD","bJkvcejdHO","k8jYdgA6NY","9HNa5Wba9A","rGHVDoGpnC","u6S6b8DprG","Asc51vEJeQ"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","Tcnh7f0tEr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr"],"result":"⊺⇮67","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2867","layer":4},{"info":"number node, value=3813","layer":4},{"info":"compute binary expreesion, left_input=2867, right_input=3813, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=10931871","layer":3},{"info":"number node, value=1179","layer":4},{"info":"number node, value=1364","layer":4},{"info":"compute binary expreesion, left_input=1179, right_input=1364, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=10931871, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=3107","layer":4},{"info":"compute unary expreesion, input=3107, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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 = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=67","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮2867*⊺⇮3813%⊺⇮1179⨟⋌⩍⊺⇮1364)≎⊠⪸(↽≂(↣≠⋷⊺⇮3107))⨁⊸⫻=⊺⇮67","reverse_text":"⊺⇮67=(⊺⇮2867*⊺⇮3813%⊺⇮1179⨟⋌⩍⊺⇮1364)≎⊠⪸(↽≂(↣≠⋷⊺⇮3107))⨁⊸⫻","cot":[{"info":"⊺⇮2867*⊺⇮3813=⊺⇮10931871","layer":3},{"info":"⊺⇮1179⨟⋌⩍⊺⇮1364=NaN","layer":3},{"info":"⊺⇮10931871%NaN=NaN","layer":2},{"info":"↣≠⋷⊺⇮3107=NaN","layer":3},{"info":"↽≂NaN=NaN","layer":2},{"info":"NaN≎⊠⪸NaN=⊺⇮67","layer":1},{"info":"⊺⇮67⨁⊸⫻=⊺⇮67","layer":0}]}
{"id":158,"expression_no_base_symbol":"(⇁⨣⪵$1285$⇷$3371$)⋳⪒(⨞⊢$3733$↬$2416$)⊭↱(($2707$⊉≛↸$2829$)⩷∴($1992$⊠≄⫣))⊴((↽≂$3147$)⫡⨏$2365$⋳⪒$1040$)","expression":"(⇁⨣⪵⊺⇮1285⇷⊺⇮3371)⋳⪒(⨞⊢⊺⇮3733↬⊺⇮2416)⊭↱((⊺⇮2707⊉≛↸⊺⇮2829)⩷∴(⊺⇮1992⊠≄⫣))⊴((↽≂⊺⇮3147)⫡⨏⊺⇮2365⋳⪒⊺⇮1040)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":41928,"operation_count":13,"complexity_ratio":3225.230769230769,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1285,"base":10},"right_expr":{"type":"numeric_atoms","value":3371,"base":10}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3733,"base":10},"right_expr":{"type":"numeric_atoms","value":2416,"base":10}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2707,"base":10},"right_expr":{"type":"numeric_atoms","value":2829,"base":10}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1992,"base":10}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":3147,"base":10}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2365,"base":10},"right_expr":{"type":"numeric_atoms","value":1040,"base":10}}}}},"used_operators":["COABgblf1C","12rbrZMWeM","inkyxCbjAn","mp7IySMOzn","xUOZtlo3hN","B5M0gjZbta","Nsiff2A1zJ","9FxExcQeMw","DZ8iAZOCBD","DIvbN7qnHd","QMFrweE19q","u6S6b8DprG"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1285","layer":4},{"info":"number node, value=3371","layer":4},{"info":"compute binary expreesion, left_input=1285, right_input=3371, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6742","layer":3},{"info":"compute unary expreesion, input=6742, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"number node, value=3733","layer":4},{"info":"number node, value=2416","layer":4},{"info":"compute binary expreesion, left_input=3733, right_input=2416, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"number node, value=2707","layer":4},{"info":"number node, value=2829","layer":4},{"info":"compute binary expreesion, left_input=2707, right_input=2829, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5414","layer":3},{"info":"number node, value=1992","layer":4},{"info":"compute unary expreesion, input=1992, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=5414, right_input=0, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=10796","layer":2},{"info":"number node, value=3147","layer":4},{"info":"compute unary expreesion, input=3147, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-6294","layer":3},{"info":"number node, value=2365","layer":4},{"info":"number node, value=1040","layer":4},{"info":"compute binary expreesion, left_input=2365, right_input=1040, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3403","layer":3},{"info":"compute binary expreesion, left_input=-6294, right_input=3403, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-23881","layer":2},{"info":"compute binary expreesion, left_input=10796, right_input=-23881, 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 = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⇁⨣⪵⊺⇮1285⇷⊺⇮3371)⋳⪒(⨞⊢⊺⇮3733↬⊺⇮2416)⊭↱((⊺⇮2707⊉≛↸⊺⇮2829)⩷∴(⊺⇮1992⊠≄⫣))⊴((↽≂⊺⇮3147)⫡⨏⊺⇮2365⋳⪒⊺⇮1040)=NaN","reverse_text":"NaN=(⇁⨣⪵⊺⇮1285⇷⊺⇮3371)⋳⪒(⨞⊢⊺⇮3733↬⊺⇮2416)⊭↱((⊺⇮2707⊉≛↸⊺⇮2829)⩷∴(⊺⇮1992⊠≄⫣))⊴((↽≂⊺⇮3147)⫡⨏⊺⇮2365⋳⪒⊺⇮1040)","cot":[{"info":"⊺⇮1285⇷⊺⇮3371=⊺⇮6742","layer":3},{"info":"⇁⨣⪵⊺⇮6742=NaN","layer":2},{"info":"⊺⇮3733↬⊺⇮2416=NaN","layer":3},{"info":"⨞⊢NaN=NaN","layer":2},{"info":"NaN⋳⪒NaN=NaN","layer":1},{"info":"⊺⇮2707⊉≛↸⊺⇮2829=⊺⇮5414","layer":3},{"info":"⊺⇮1992⊠≄⫣=⊺⇮0","layer":3},{"info":"⊺⇮5414⩷∴⊺⇮0=⊺⇮10796","layer":2},{"info":"↽≂⊺⇮3147=⊺⇮-6294","layer":3},{"info":"⊺⇮2365⋳⪒⊺⇮1040=⊺⇮3403","layer":3},{"info":"⊺⇮-6294⫡⨏⊺⇮3403=⊺⇮-23881","layer":2},{"info":"⊺⇮10796⊴⊺⇮-23881=NaN","layer":1},{"info":"NaN⊭↱NaN=NaN","layer":0}]}
{"id":159,"expression_no_base_symbol":"($7520$⫸⊐$2138$⨵⪆(⨑⩽⪐$8218$))-($4897$⋥≓≎$5135$⋷$1954$⨎$3069$)⋷((↽≂$1394$⪛$2494$)↪⪝)","expression":"(⊺⇮7520⫸⊐⊺⇮2138⨵⪆(⨑⩽⪐⊺⇮8218))-(⊺⇮4897⋥≓≎⊺⇮5135⋷⊺⇮1954⨎⊺⇮3069)⋷((↽≂⊺⇮1394⪛⊺⇮2494)↪⪝)","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":747,"operation_count":11,"complexity_ratio":67.9090909090909,"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":7520,"base":10},"right_expr":{"type":"numeric_atoms","value":2138,"base":10}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":8218,"base":10}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4897,"base":10},"right_expr":{"type":"numeric_atoms","value":5135,"base":10}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1954,"base":10},"right_expr":{"type":"numeric_atoms","value":3069,"base":10}}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1394,"base":10},"right_expr":{"type":"numeric_atoms","value":2494,"base":10}}}}},"used_operators":["23Mk6UjR3U","rysDP5nf3Z","2DQ55sFlQl","mqXw5SEYmG","AF7qkfDlqP","Qy55tPpLXF","rJVOvQCfKK","l07mrZUIn9","u6S6b8DprG","uFcxV4UQCh"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⊺⇮1144","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7520","layer":4},{"info":"number node, value=2138","layer":4},{"info":"compute binary expreesion, left_input=7520, right_input=2138, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=8427","layer":3},{"info":"number node, value=8218","layer":4},{"info":"compute unary expreesion, input=8218, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-7945","layer":3},{"info":"compute binary expreesion, left_input=8427, right_input=-7945, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=4897","layer":4},{"info":"number node, value=5135","layer":4},{"info":"compute binary expreesion, left_input=4897, right_input=5135, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=5406","layer":3},{"info":"number node, value=1954","layer":4},{"info":"number node, value=3069","layer":4},{"info":"compute binary expreesion, left_input=1954, right_input=3069, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3069","layer":3},{"info":"compute binary expreesion, left_input=5406, right_input=3069, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=732","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=732, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-572","layer":1},{"info":"number node, value=1394","layer":4},{"info":"number node, value=2494","layer":4},{"info":"compute binary expreesion, left_input=1394, right_input=2494, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1394","layer":3},{"info":"compute unary expreesion, input=1394, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2788","layer":2},{"info":"compute unary expreesion, input=-2788, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=-170575416","layer":1},{"info":"compute binary expreesion, left_input=-572, right_input=-170575416, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1144","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮7520⫸⊐⊺⇮2138⨵⪆(⨑⩽⪐⊺⇮8218))-(⊺⇮4897⋥≓≎⊺⇮5135⋷⊺⇮1954⨎⊺⇮3069)⋷((↽≂⊺⇮1394⪛⊺⇮2494)↪⪝)=⊺⇮1144","reverse_text":"⊺⇮1144=(⊺⇮7520⫸⊐⊺⇮2138⨵⪆(⨑⩽⪐⊺⇮8218))-(⊺⇮4897⋥≓≎⊺⇮5135⋷⊺⇮1954⨎⊺⇮3069)⋷((↽≂⊺⇮1394⪛⊺⇮2494)↪⪝)","cot":[{"info":"⊺⇮7520⫸⊐⊺⇮2138=⊺⇮8427","layer":3},{"info":"⨑⩽⪐⊺⇮8218=⊺⇮-7945","layer":3},{"info":"⊺⇮8427⨵⪆⊺⇮-7945=⊺⇮160","layer":2},{"info":"⊺⇮4897⋥≓≎⊺⇮5135=⊺⇮5406","layer":3},{"info":"⊺⇮1954⨎⊺⇮3069=⊺⇮3069","layer":3},{"info":"⊺⇮5406⋷⊺⇮3069=⊺⇮732","layer":2},{"info":"⊺⇮160-⊺⇮732=⊺⇮-572","layer":1},{"info":"⊺⇮1394⪛⊺⇮2494=⊺⇮1394","layer":3},{"info":"↽≂⊺⇮1394=⊺⇮-2788","layer":2},{"info":"⊺⇮-2788↪⪝=⊺⇮-170575416","layer":1},{"info":"⊺⇮-572⋷⊺⇮-170575416=⊺⇮1144","layer":0}]}
{"id":160,"expression_no_base_symbol":"(($2387$⊘)⪄($2764$⪒$3096$))⨎($2241$≎⊠⪸$1334$)⨰($6634$⋓$1741$)∲⫓(($3090$⩠)⊠≄⫣)-($5920$%$3129$)⪢($2264$⋳⪒$1703$)","expression":"((⊺⇮2387⊘)⪄(⊺⇮2764⪒⊺⇮3096))⨎(⊺⇮2241≎⊠⪸⊺⇮1334)⨰(⊺⇮6634⋓⊺⇮1741)∲⫓((⊺⇮3090⩠)⊠≄⫣)-(⊺⇮5920%⊺⇮3129)⪢(⊺⇮2264⋳⪒⊺⇮1703)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7006,"operation_count":14,"complexity_ratio":500.42857142857144,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":2387,"base":10}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2764,"base":10},"right_expr":{"type":"numeric_atoms","value":3096,"base":10}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2241,"base":10},"right_expr":{"type":"numeric_atoms","value":1334,"base":10}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":6634,"base":10},"right_expr":{"type":"numeric_atoms","value":1741,"base":10}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":3090,"base":10}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":5920,"base":10},"right_expr":{"type":"numeric_atoms","value":3129,"base":10}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2264,"base":10},"right_expr":{"type":"numeric_atoms","value":1703,"base":10}}}}},"used_operators":["i8ToyICDmI","rJVOvQCfKK","SUmda5xLS4","gu96TGCTMs","f6k1SAg4EE","eewbuw0ToL","bJkvcejdHO","T2fj7uvVaJ","rysDP5nf3Z","DIvbN7qnHd","sJAwomhLZr","dWAJyo7jo9","k8jYdgA6NY","12rbrZMWeM"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","k8jYdgA6NY","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2387","layer":4},{"info":"compute unary expreesion, input=2387, 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=2764","layer":4},{"info":"number node, value=3096","layer":4},{"info":"compute binary expreesion, left_input=2764, right_input=3096, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5860","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-5860, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=27351","layer":2},{"info":"number node, value=2241","layer":4},{"info":"number node, value=1334","layer":4},{"info":"compute binary expreesion, left_input=2241, right_input=1334, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=579946","layer":3},{"info":"number node, value=6634","layer":4},{"info":"number node, value=1741","layer":4},{"info":"compute binary expreesion, left_input=6634, right_input=1741, op_id = T2fj7uvVaJ binary_op_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=579946, right_input=0, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=579956","layer":2},{"info":"compute binary expreesion, left_input=27351, right_input=579956, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=579956","layer":1},{"info":"number node, value=3090","layer":4},{"info":"compute unary expreesion, input=3090, 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 = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"number node, value=5920","layer":4},{"info":"number node, value=3129","layer":4},{"info":"compute binary expreesion, left_input=5920, right_input=3129, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2791","layer":3},{"info":"number node, value=2264","layer":4},{"info":"number node, value=1703","layer":4},{"info":"compute binary expreesion, left_input=2264, right_input=1703, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2538","layer":3},{"info":"compute binary expreesion, left_input=2791, right_input=2538, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=579956, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮2387⊘)⪄(⊺⇮2764⪒⊺⇮3096))⨎(⊺⇮2241≎⊠⪸⊺⇮1334)⨰(⊺⇮6634⋓⊺⇮1741)∲⫓((⊺⇮3090⩠)⊠≄⫣)-(⊺⇮5920%⊺⇮3129)⪢(⊺⇮2264⋳⪒⊺⇮1703)=NaN","reverse_text":"NaN=((⊺⇮2387⊘)⪄(⊺⇮2764⪒⊺⇮3096))⨎(⊺⇮2241≎⊠⪸⊺⇮1334)⨰(⊺⇮6634⋓⊺⇮1741)∲⫓((⊺⇮3090⩠)⊠≄⫣)-(⊺⇮5920%⊺⇮3129)⪢(⊺⇮2264⋳⪒⊺⇮1703)","cot":[{"info":"⊺⇮2387⊘=⊺⇮0","layer":3},{"info":"⊺⇮2764⪒⊺⇮3096=⊺⇮-5860","layer":3},{"info":"⊺⇮0⪄⊺⇮-5860=⊺⇮27351","layer":2},{"info":"⊺⇮2241≎⊠⪸⊺⇮1334=⊺⇮579946","layer":3},{"info":"⊺⇮6634⋓⊺⇮1741=⊺⇮0","layer":3},{"info":"⊺⇮579946⨰⊺⇮0=⊺⇮579956","layer":2},{"info":"⊺⇮27351⨎⊺⇮579956=⊺⇮579956","layer":1},{"info":"⊺⇮3090⩠=⊺⇮0","layer":3},{"info":"⊺⇮0⊠≄⫣=⊺⇮0","layer":2},{"info":"⊺⇮5920%⊺⇮3129=⊺⇮2791","layer":3},{"info":"⊺⇮2264⋳⪒⊺⇮1703=⊺⇮2538","layer":3},{"info":"⊺⇮2791⪢⊺⇮2538=NaN","layer":2},{"info":"⊺⇮0-NaN=NaN","layer":1},{"info":"⊺⇮579956∲⫓NaN=NaN","layer":0}]}
{"id":161,"expression_no_base_symbol":"($7734$⨓$5437$⋓($4927$⋝⋈⪟$5696$))⪘⫢(($3385$⇋≉)⇼⇔∾($1050$⊠≄⫣))∲⫓((($1790$∲⫓$7715$)⊭↱(⩦⩻⨪$2397$))⊠≄⫣)","expression":"(⊺⇮7734⨓⊺⇮5437⋓(⊺⇮4927⋝⋈⪟⊺⇮5696))⪘⫢((⊺⇮3385⇋≉)⇼⇔∾(⊺⇮1050⊠≄⫣))∲⫓(((⊺⇮1790∲⫓⊺⇮7715)⊭↱(⩦⩻⨪⊺⇮2397))⊠≄⫣)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5491,"operation_count":12,"complexity_ratio":457.5833333333333,"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":7734,"base":10},"right_expr":{"type":"numeric_atoms","value":5437,"base":10}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4927,"base":10},"right_expr":{"type":"numeric_atoms","value":5696,"base":10}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":3385,"base":10}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1050,"base":10}}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1790,"base":10},"right_expr":{"type":"numeric_atoms","value":7715,"base":10}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2397,"base":10}}}}},"used_operators":["i8ToyICDmI","oacrs7FA3X","T2fj7uvVaJ","3ViojmjbAp","2DDjHMKMc0","tifHPKVTfV","XIabStNQrY","DIvbN7qnHd","COABgblf1C","2td37pGCOC"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⊺⇮-1","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7734","layer":4},{"info":"number node, value=5437","layer":4},{"info":"compute binary expreesion, left_input=7734, right_input=5437, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5440","layer":3},{"info":"number node, value=4927","layer":4},{"info":"number node, value=5696","layer":4},{"info":"compute binary expreesion, left_input=4927, right_input=5696, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4927","layer":3},{"info":"compute binary expreesion, left_input=-5440, right_input=4927, op_id = T2fj7uvVaJ binary_op_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=3385","layer":4},{"info":"compute unary expreesion, input=3385, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=6672","layer":3},{"info":"number node, value=1050","layer":4},{"info":"compute unary expreesion, input=1050, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=6672, right_input=0, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-6672","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-6672, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":1},{"info":"number node, value=1790","layer":4},{"info":"number node, value=7715","layer":4},{"info":"compute binary expreesion, left_input=1790, right_input=7715, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=2397","layer":4},{"info":"compute unary expreesion, input=2397, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2397","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2397, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=4799","layer":2},{"info":"compute unary expreesion, input=4799, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-1, right_input=0, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-1","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮7734⨓⊺⇮5437⋓(⊺⇮4927⋝⋈⪟⊺⇮5696))⪘⫢((⊺⇮3385⇋≉)⇼⇔∾(⊺⇮1050⊠≄⫣))∲⫓(((⊺⇮1790∲⫓⊺⇮7715)⊭↱(⩦⩻⨪⊺⇮2397))⊠≄⫣)=⊺⇮-1","reverse_text":"⊺⇮-1=(⊺⇮7734⨓⊺⇮5437⋓(⊺⇮4927⋝⋈⪟⊺⇮5696))⪘⫢((⊺⇮3385⇋≉)⇼⇔∾(⊺⇮1050⊠≄⫣))∲⫓(((⊺⇮1790∲⫓⊺⇮7715)⊭↱(⩦⩻⨪⊺⇮2397))⊠≄⫣)","cot":[{"info":"⊺⇮7734⨓⊺⇮5437=⊺⇮-5440","layer":3},{"info":"⊺⇮4927⋝⋈⪟⊺⇮5696=⊺⇮4927","layer":3},{"info":"⊺⇮-5440⋓⊺⇮4927=⊺⇮0","layer":2},{"info":"⊺⇮3385⇋≉=⊺⇮6672","layer":3},{"info":"⊺⇮1050⊠≄⫣=⊺⇮0","layer":3},{"info":"⊺⇮6672⇼⇔∾⊺⇮0=⊺⇮-6672","layer":2},{"info":"⊺⇮0⪘⫢⊺⇮-6672=⊺⇮-1","layer":1},{"info":"⊺⇮1790∲⫓⊺⇮7715=⊺⇮0","layer":3},{"info":"⩦⩻⨪⊺⇮2397=⊺⇮2397","layer":3},{"info":"⊺⇮0⊭↱⊺⇮2397=⊺⇮4799","layer":2},{"info":"⊺⇮4799⊠≄⫣=⊺⇮0","layer":1},{"info":"⊺⇮-1∲⫓⊺⇮0=⊺⇮-1","layer":0}]}
{"id":162,"expression_no_base_symbol":"(((⨞⊢$2453$)⊭↱($2202$⫡⨏$5902$))⨽(⋗⩬⋾$1052$)≭($1474$+⇶⊼$2757$))⊴(($8094$⨎$5095$)⩷∴(⊥$5618$)⋳⪒($1081$⩚⊴⇥$3250$⨎($2393$-$2877$)))","expression":"(((⨞⊢⊺⇮2453)⊭↱(⊺⇮2202⫡⨏⊺⇮5902))⨽(⋗⩬⋾⊺⇮1052)≭(⊺⇮1474+⇶⊼⊺⇮2757))⊴((⊺⇮8094⨎⊺⇮5095)⩷∴(⊥⊺⇮5618)⋳⪒(⊺⇮1081⩚⊴⇥⊺⇮3250⨎(⊺⇮2393-⊺⇮2877)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":52509,"operation_count":15,"complexity_ratio":3500.6,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2453,"base":10}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2202,"base":10},"right_expr":{"type":"numeric_atoms","value":5902,"base":10}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1052,"base":10}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1474,"base":10},"right_expr":{"type":"numeric_atoms","value":2757,"base":10}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":8094,"base":10},"right_expr":{"type":"numeric_atoms","value":5095,"base":10}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":5618,"base":10}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1081,"base":10},"right_expr":{"type":"numeric_atoms","value":3250,"base":10}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2393,"base":10},"right_expr":{"type":"numeric_atoms","value":2877,"base":10}}}}},"used_operators":["Nsiff2A1zJ","8HhzD0ZcuI","COABgblf1C","xUOZtlo3hN","QMFrweE19q","rxpJgHHUmx","DpFCA1CohY","TpPTUOHfaN","12rbrZMWeM","9FxExcQeMw","rJVOvQCfKK","Q3PJZHRvZv","NTOWxs364D","rysDP5nf3Z"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","fu6greOZ01","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2453","layer":4},{"info":"compute unary expreesion, input=2453, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2627","layer":3},{"info":"number node, value=2202","layer":4},{"info":"number node, value=5902","layer":4},{"info":"compute binary expreesion, left_input=2202, right_input=5902, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=23597","layer":3},{"info":"compute binary expreesion, left_input=-2627, right_input=23597, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=52453","layer":2},{"info":"number node, value=1052","layer":4},{"info":"compute unary expreesion, input=1052, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3156","layer":3},{"info":"number node, value=1474","layer":4},{"info":"number node, value=2757","layer":4},{"info":"compute binary expreesion, left_input=1474, right_input=2757, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=-3156, 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=52453, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"number node, value=8094","layer":4},{"info":"number node, value=5095","layer":4},{"info":"compute binary expreesion, left_input=8094, right_input=5095, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5095","layer":3},{"info":"number node, value=5618","layer":4},{"info":"compute unary expreesion, input=5618, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5095, 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=1081","layer":4},{"info":"number node, value=3250","layer":4},{"info":"compute binary expreesion, left_input=1081, right_input=3250, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4452","layer":3},{"info":"number node, value=2393","layer":4},{"info":"number node, value=2877","layer":4},{"info":"compute binary expreesion, left_input=2393, right_input=2877, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-484","layer":3},{"info":"compute binary expreesion, left_input=-4452, right_input=-484, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-484","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-484, 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 = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((⨞⊢⊺⇮2453)⊭↱(⊺⇮2202⫡⨏⊺⇮5902))⨽(⋗⩬⋾⊺⇮1052)≭(⊺⇮1474+⇶⊼⊺⇮2757))⊴((⊺⇮8094⨎⊺⇮5095)⩷∴(⊥⊺⇮5618)⋳⪒(⊺⇮1081⩚⊴⇥⊺⇮3250⨎(⊺⇮2393-⊺⇮2877)))=NaN","reverse_text":"NaN=(((⨞⊢⊺⇮2453)⊭↱(⊺⇮2202⫡⨏⊺⇮5902))⨽(⋗⩬⋾⊺⇮1052)≭(⊺⇮1474+⇶⊼⊺⇮2757))⊴((⊺⇮8094⨎⊺⇮5095)⩷∴(⊥⊺⇮5618)⋳⪒(⊺⇮1081⩚⊴⇥⊺⇮3250⨎(⊺⇮2393-⊺⇮2877)))","cot":[{"info":"⨞⊢⊺⇮2453=⊺⇮-2627","layer":3},{"info":"⊺⇮2202⫡⨏⊺⇮5902=⊺⇮23597","layer":3},{"info":"⊺⇮-2627⊭↱⊺⇮23597=⊺⇮52453","layer":2},{"info":"⋗⩬⋾⊺⇮1052=⊺⇮-3156","layer":3},{"info":"⊺⇮1474+⇶⊼⊺⇮2757=NaN","layer":3},{"info":"⊺⇮-3156≭NaN=NaN","layer":2},{"info":"⊺⇮52453⨽NaN=NaN","layer":1},{"info":"⊺⇮8094⨎⊺⇮5095=⊺⇮5095","layer":3},{"info":"⊥⊺⇮5618=NaN","layer":3},{"info":"⊺⇮5095⩷∴NaN=NaN","layer":2},{"info":"⊺⇮1081⩚⊴⇥⊺⇮3250=⊺⇮-4452","layer":3},{"info":"⊺⇮2393-⊺⇮2877=⊺⇮-484","layer":3},{"info":"⊺⇮-4452⨎⊺⇮-484=⊺⇮-484","layer":2},{"info":"NaN⋳⪒⊺⇮-484=NaN","layer":1},{"info":"NaN⊴NaN=NaN","layer":0}]}
{"id":163,"expression_no_base_symbol":"$3141$⊴$3902$⪢($7741$⨓$2516$)⨐⩸⫘(($2386$⫌⩹⨱)⩨($1252$⨵⪆$1428$))↛⩡⫤","expression":"⊺⇮3141⊴⊺⇮3902⪢(⊺⇮7741⨓⊺⇮2516)⨐⩸⫘((⊺⇮2386⫌⩹⨱)⩨(⊺⇮1252⨵⪆⊺⇮1428))↛⩡⫤","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":9025,"operation_count":8,"complexity_ratio":1128.125,"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":3141,"base":10},"right_expr":{"type":"numeric_atoms","value":3902,"base":10}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":7741,"base":10},"right_expr":{"type":"numeric_atoms","value":2516,"base":10}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":2386,"base":10}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1252,"base":10},"right_expr":{"type":"numeric_atoms","value":1428,"base":10}}}}},"used_operators":["FU0Cs4j7VP","fu6greOZ01","dWAJyo7jo9","Nsiff2A1zJ","3ViojmjbAp","2DlMacCsIx","EBcxylXtPf","2DQ55sFlQl"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","3ViojmjbAp","k8jYdgA6NY","dWAJyo7jo9","14qkJME0vr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3141","layer":4},{"info":"number node, value=3902","layer":4},{"info":"compute binary expreesion, left_input=3141, right_input=3902, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=7741","layer":4},{"info":"number node, value=2516","layer":4},{"info":"compute binary expreesion, left_input=7741, right_input=2516, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2519","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2519, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=2386","layer":4},{"info":"compute unary expreesion, input=2386, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=6173","layer":3},{"info":"number node, value=1252","layer":4},{"info":"number node, value=1428","layer":4},{"info":"compute binary expreesion, left_input=1252, right_input=1428, 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=6173, right_input=160, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 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":10,"result_base":10,"text":"⊺⇮3141⊴⊺⇮3902⪢(⊺⇮7741⨓⊺⇮2516)⨐⩸⫘((⊺⇮2386⫌⩹⨱)⩨(⊺⇮1252⨵⪆⊺⇮1428))↛⩡⫤=NaN","reverse_text":"NaN=⊺⇮3141⊴⊺⇮3902⪢(⊺⇮7741⨓⊺⇮2516)⨐⩸⫘((⊺⇮2386⫌⩹⨱)⩨(⊺⇮1252⨵⪆⊺⇮1428))↛⩡⫤","cot":[{"info":"⊺⇮3141⊴⊺⇮3902=NaN","layer":3},{"info":"⊺⇮7741⨓⊺⇮2516=⊺⇮-2519","layer":3},{"info":"NaN⪢⊺⇮-2519=NaN","layer":2},{"info":"⊺⇮2386⫌⩹⨱=⊺⇮6173","layer":3},{"info":"⊺⇮1252⨵⪆⊺⇮1428=⊺⇮160","layer":3},{"info":"⊺⇮6173⩨⊺⇮160=⊺⇮0","layer":2},{"info":"NaN⨐⩸⫘⊺⇮0=NaN","layer":1},{"info":"NaN↛⩡⫤=NaN","layer":0}]}
{"id":164,"expression_no_base_symbol":"((($2671$∲⫓$1142$)↛⩡⫤)⫌⩹⨱)≭(⨈⫕(+⊝⨔($3630$≫≃)))","expression":"(((⊺⇮2671∲⫓⊺⇮1142)↛⩡⫤)⫌⩹⨱)≭(⨈⫕(+⊝⨔(⊺⇮3630≫≃)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2673,"operation_count":7,"complexity_ratio":381.85714285714283,"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":2671,"base":10},"right_expr":{"type":"numeric_atoms","value":1142,"base":10}}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":3630,"base":10}}}}},"used_operators":["rxpJgHHUmx","EBcxylXtPf","FU0Cs4j7VP","i8ToyICDmI","megm06wKyl","DhbWaqg5eL","X99M06cbEe"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2671","layer":4},{"info":"number node, value=1142","layer":4},{"info":"compute binary expreesion, left_input=2671, right_input=1142, 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 = 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":"compute unary expreesion, input=0, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=1401","layer":1},{"info":"number node, value=3630","layer":4},{"info":"compute unary expreesion, input=3630, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=8661","layer":3},{"info":"compute unary expreesion, input=8661, 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 = 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=1401, right_input=-21, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮2671∲⫓⊺⇮1142)↛⩡⫤)⫌⩹⨱)≭(⨈⫕(+⊝⨔(⊺⇮3630≫≃)))=NaN","reverse_text":"NaN=(((⊺⇮2671∲⫓⊺⇮1142)↛⩡⫤)⫌⩹⨱)≭(⨈⫕(+⊝⨔(⊺⇮3630≫≃)))","cot":[{"info":"⊺⇮2671∲⫓⊺⇮1142=⊺⇮0","layer":3},{"info":"⊺⇮0↛⩡⫤=⊺⇮0","layer":2},{"info":"⊺⇮0⫌⩹⨱=⊺⇮1401","layer":1},{"info":"⊺⇮3630≫≃=⊺⇮8661","layer":3},{"info":"+⊝⨔⊺⇮8661=⊺⇮1522","layer":2},{"info":"⨈⫕⊺⇮1522=⊺⇮-21","layer":1},{"info":"⊺⇮1401≭⊺⇮-21=NaN","layer":0}]}
{"id":165,"expression_no_base_symbol":"($5371$⪘⫢$1360$⊭↱$6062$↬$1453$+(⪝⪂⫅$5047$)⨸⪁($4316$⪨≂$2033$))%(⨰⫟⨤($3987$∼$2716$⩷∴$2052$∑⇟⊟$2423$))","expression":"(⊺⇮5371⪘⫢⊺⇮1360⊭↱⊺⇮6062↬⊺⇮1453+(⪝⪂⫅⊺⇮5047)⨸⪁(⊺⇮4316⪨≂⊺⇮2033))%(⨰⫟⨤(⊺⇮3987∼⊺⇮2716⩷∴⊺⇮2052∑⇟⊟⊺⇮2423))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":298,"operation_count":12,"complexity_ratio":24.833333333333332,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":5371,"base":10},"right_expr":{"type":"numeric_atoms","value":1360,"base":10}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":6062,"base":10},"right_expr":{"type":"numeric_atoms","value":1453,"base":10}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":5047,"base":10}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4316,"base":10},"right_expr":{"type":"numeric_atoms","value":2033,"base":10}}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3987,"base":10},"right_expr":{"type":"numeric_atoms","value":2716,"base":10}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2052,"base":10},"right_expr":{"type":"numeric_atoms","value":2423,"base":10}}}}},"used_operators":["k8jYdgA6NY","W4YGzv6Whe","COABgblf1C","oacrs7FA3X","B5M0gjZbta","g55IO6H4Gj","XTarYq4gQB","sdazOOVcIp","Tw270M8GLb","9FxExcQeMw","DyGG3AbaNP","U7g4x0WXJJ"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rGHVDoGpnC","W4YGzv6Whe","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5371","layer":4},{"info":"number node, value=1360","layer":4},{"info":"compute binary expreesion, left_input=5371, right_input=1360, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=10618","layer":3},{"info":"number node, value=6062","layer":4},{"info":"number node, value=1453","layer":4},{"info":"compute binary expreesion, left_input=6062, right_input=1453, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=10618, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"number node, value=5047","layer":4},{"info":"compute unary expreesion, input=5047, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-741909","layer":3},{"info":"number node, value=4316","layer":4},{"info":"number node, value=2033","layer":4},{"info":"compute binary expreesion, left_input=4316, right_input=2033, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=4668","layer":3},{"info":"compute binary expreesion, left_input=-741909, right_input=4668, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-1474482","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1474482, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=3987","layer":4},{"info":"number node, value=2716","layer":4},{"info":"compute binary expreesion, left_input=3987, right_input=2716, 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=2052","layer":4},{"info":"number node, value=2423","layer":4},{"info":"compute binary expreesion, left_input=2052, right_input=2423, 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 = 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 = 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 = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮5371⪘⫢⊺⇮1360⊭↱⊺⇮6062↬⊺⇮1453+(⪝⪂⫅⊺⇮5047)⨸⪁(⊺⇮4316⪨≂⊺⇮2033))%(⨰⫟⨤(⊺⇮3987∼⊺⇮2716⩷∴⊺⇮2052∑⇟⊟⊺⇮2423))=NaN","reverse_text":"NaN=(⊺⇮5371⪘⫢⊺⇮1360⊭↱⊺⇮6062↬⊺⇮1453+(⪝⪂⫅⊺⇮5047)⨸⪁(⊺⇮4316⪨≂⊺⇮2033))%(⨰⫟⨤(⊺⇮3987∼⊺⇮2716⩷∴⊺⇮2052∑⇟⊟⊺⇮2423))","cot":[{"info":"⊺⇮5371⪘⫢⊺⇮1360=⊺⇮10618","layer":3},{"info":"⊺⇮6062↬⊺⇮1453=NaN","layer":3},{"info":"⊺⇮10618⊭↱NaN=NaN","layer":2},{"info":"⪝⪂⫅⊺⇮5047=⊺⇮-741909","layer":3},{"info":"⊺⇮4316⪨≂⊺⇮2033=⊺⇮4668","layer":3},{"info":"⊺⇮-741909⨸⪁⊺⇮4668=⊺⇮-1474482","layer":2},{"info":"NaN+⊺⇮-1474482=NaN","layer":1},{"info":"⊺⇮3987∼⊺⇮2716=NaN","layer":3},{"info":"⊺⇮2052∑⇟⊟⊺⇮2423=NaN","layer":3},{"info":"NaN⩷∴NaN=NaN","layer":2},{"info":"⨰⫟⨤NaN=NaN","layer":1},{"info":"NaN%NaN=NaN","layer":0}]}
{"id":166,"expression_no_base_symbol":"((⩦⩻⨪($2003$⨸⪁$3686$))+⇶⊼(⊥($1021$+$5209$)))⨰(⨈⫕($1055$%$1141$)⫥∨⫟(⋗⩬⋾$3055$))","expression":"((⩦⩻⨪(⊺⇮2003⨸⪁⊺⇮3686))+⇶⊼(⊥(⊺⇮1021+⊺⇮5209)))⨰(⨈⫕(⊺⇮1055%⊺⇮1141)⫥∨⫟(⋗⩬⋾⊺⇮3055))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":559,"operation_count":10,"complexity_ratio":55.9,"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":2003,"base":10},"right_expr":{"type":"numeric_atoms","value":3686,"base":10}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1021,"base":10},"right_expr":{"type":"numeric_atoms","value":5209,"base":10}}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1055,"base":10},"right_expr":{"type":"numeric_atoms","value":1141,"base":10}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":3055,"base":10}}}}},"used_operators":["eewbuw0ToL","TpPTUOHfaN","2td37pGCOC","g55IO6H4Gj","Q3PJZHRvZv","W4YGzv6Whe","megm06wKyl","KYD54nUTWz","k8jYdgA6NY","DpFCA1CohY"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","fu6greOZ01","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2003","layer":4},{"info":"number node, value=3686","layer":4},{"info":"compute binary expreesion, left_input=2003, right_input=3686, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=11378","layer":3},{"info":"compute unary expreesion, input=11378, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=11378","layer":2},{"info":"number node, value=1021","layer":4},{"info":"number node, value=5209","layer":4},{"info":"compute binary expreesion, left_input=1021, right_input=5209, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6230","layer":3},{"info":"compute unary expreesion, input=6230, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=11378, 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=1055","layer":4},{"info":"number node, value=1141","layer":4},{"info":"compute binary expreesion, left_input=1055, right_input=1141, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1055","layer":3},{"info":"number node, value=3055","layer":4},{"info":"compute unary expreesion, input=3055, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-9165","layer":3},{"info":"compute binary expreesion, left_input=1055, right_input=-9165, 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":"compute binary expreesion, left_input=nan, right_input=-21, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⩦⩻⨪(⊺⇮2003⨸⪁⊺⇮3686))+⇶⊼(⊥(⊺⇮1021+⊺⇮5209)))⨰(⨈⫕(⊺⇮1055%⊺⇮1141)⫥∨⫟(⋗⩬⋾⊺⇮3055))=NaN","reverse_text":"NaN=((⩦⩻⨪(⊺⇮2003⨸⪁⊺⇮3686))+⇶⊼(⊥(⊺⇮1021+⊺⇮5209)))⨰(⨈⫕(⊺⇮1055%⊺⇮1141)⫥∨⫟(⋗⩬⋾⊺⇮3055))","cot":[{"info":"⊺⇮2003⨸⪁⊺⇮3686=⊺⇮11378","layer":3},{"info":"⩦⩻⨪⊺⇮11378=⊺⇮11378","layer":2},{"info":"⊺⇮1021+⊺⇮5209=⊺⇮6230","layer":3},{"info":"⊥⊺⇮6230=NaN","layer":2},{"info":"⊺⇮11378+⇶⊼NaN=NaN","layer":1},{"info":"⊺⇮1055%⊺⇮1141=⊺⇮1055","layer":3},{"info":"⋗⩬⋾⊺⇮3055=⊺⇮-9165","layer":3},{"info":"⊺⇮1055⫥∨⫟⊺⇮-9165=NaN","layer":2},{"info":"⨈⫕NaN=⊺⇮-21","layer":1},{"info":"NaN⨰⊺⇮-21=NaN","layer":0}]}
{"id":167,"expression_no_base_symbol":"⊙↵-(($5848$⊪)⫸⊐($1250$⇼⇔∾$5689$)%(⨰⫟⨤($2786$⫥∨⫟$4786$)))","expression":"⊙↵-((⊺⇮5848⊪)⫸⊐(⊺⇮1250⇼⇔∾⊺⇮5689)%(⨰⫟⨤(⊺⇮2786⫥∨⫟⊺⇮4786)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":250,"operation_count":7,"complexity_ratio":35.714285714285715,"tree":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":5848,"base":10}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1250,"base":10},"right_expr":{"type":"numeric_atoms","value":5689,"base":10}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2786,"base":10},"right_expr":{"type":"numeric_atoms","value":4786,"base":10}}}}},"used_operators":["oWn0xqSxBt","k8jYdgA6NY","mqXw5SEYmG","zVYPLywUTj","tifHPKVTfV","Tw270M8GLb","KYD54nUTWz"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=5848","layer":4},{"info":"compute unary expreesion, input=5848, 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=1250","layer":4},{"info":"number node, value=5689","layer":4},{"info":"compute binary expreesion, left_input=1250, right_input=5689, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=4439","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4439, 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=2786","layer":4},{"info":"number node, value=4786","layer":4},{"info":"compute binary expreesion, left_input=2786, right_input=4786, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽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 binary expreesion, left_input=0, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⊙↵-((⊺⇮5848⊪)⫸⊐(⊺⇮1250⇼⇔∾⊺⇮5689)%(⨰⫟⨤(⊺⇮2786⫥∨⫟⊺⇮4786)))=NaN","reverse_text":"NaN=⊙↵-((⊺⇮5848⊪)⫸⊐(⊺⇮1250⇼⇔∾⊺⇮5689)%(⨰⫟⨤(⊺⇮2786⫥∨⫟⊺⇮4786)))","cot":[{"info":"⊺⇮5848⊪=⊺⇮0","layer":3},{"info":"⊺⇮1250⇼⇔∾⊺⇮5689=⊺⇮4439","layer":3},{"info":"⊺⇮0⫸⊐⊺⇮4439=⊺⇮0","layer":2},{"info":"⊺⇮2786⫥∨⫟⊺⇮4786=NaN","layer":3},{"info":"⨰⫟⨤NaN=NaN","layer":2},{"info":"⊺⇮0%NaN=NaN","layer":1},{"info":"⊙↵-NaN=NaN","layer":0}]}
{"id":168,"expression_no_base_symbol":"(($2424$⨟⋌⩍$2081$≦≮≮)⪄$2089$≹⇙⪍$2152$+⇶⊼($2216$↺$3874$))⨎($4050$⩚⊴⇥$1531$↺$6083$⨰$6765$⊉≛↸($2549$⪮%⊝$3310$⋷($1562$≫≃)))","expression":"((⊺⇮2424⨟⋌⩍⊺⇮2081≦≮≮)⪄⊺⇮2089≹⇙⪍⊺⇮2152+⇶⊼(⊺⇮2216↺⊺⇮3874))⨎(⊺⇮4050⩚⊴⇥⊺⇮1531↺⊺⇮6083⨰⊺⇮6765⊉≛↸(⊺⇮2549⪮%⊝⊺⇮3310⋷(⊺⇮1562≫≃)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":64,"operation_count":14,"complexity_ratio":4.571428571428571,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2424,"base":10},"right_expr":{"type":"numeric_atoms","value":2081,"base":10}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2089,"base":10},"right_expr":{"type":"numeric_atoms","value":2152,"base":10}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2216,"base":10},"right_expr":{"type":"numeric_atoms","value":3874,"base":10}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4050,"base":10},"right_expr":{"type":"numeric_atoms","value":1531,"base":10}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":6083,"base":10},"right_expr":{"type":"numeric_atoms","value":6765,"base":10}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2549,"base":10},"right_expr":{"type":"numeric_atoms","value":3310,"base":10}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1562,"base":10}}}}},"used_operators":["rJVOvQCfKK","SUmda5xLS4","D4vGDi5EA2","rGHVDoGpnC","TpPTUOHfaN","AHs5Up7iyr","7j4O788W3g","DZ8iAZOCBD","NTOWxs364D","eewbuw0ToL","23Mk6UjR3U","IWmyXbctLI","X99M06cbEe"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","AHs5Up7iyr","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"⊺⇮-3636","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2424","layer":4},{"info":"number node, value=2081","layer":4},{"info":"compute binary expreesion, left_input=2424, right_input=2081, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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":"number node, value=2089","layer":4},{"info":"number node, value=2152","layer":4},{"info":"compute binary expreesion, left_input=2089, right_input=2152, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=2216","layer":4},{"info":"number node, value=3874","layer":4},{"info":"compute binary expreesion, left_input=2216, right_input=3874, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3874","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3874, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=4050","layer":4},{"info":"number node, value=1531","layer":4},{"info":"compute binary expreesion, left_input=4050, right_input=1531, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5702","layer":3},{"info":"number node, value=6083","layer":4},{"info":"number node, value=6765","layer":4},{"info":"compute binary expreesion, left_input=6083, right_input=6765, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-672","layer":3},{"info":"compute binary expreesion, left_input=-5702, right_input=-672, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-672","layer":2},{"info":"number node, value=2549","layer":4},{"info":"number node, value=3310","layer":4},{"info":"compute binary expreesion, left_input=2549, right_input=3310, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5414","layer":3},{"info":"number node, value=1562","layer":4},{"info":"compute unary expreesion, input=1562, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=4525","layer":3},{"info":"compute binary expreesion, left_input=5414, right_input=4525, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3636","layer":2},{"info":"compute binary expreesion, left_input=-672, right_input=3636, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-3636","layer":1},{"info":"compute binary expreesion, left_input=3979, right_input=-3636, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-3636","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮2424⨟⋌⩍⊺⇮2081≦≮≮)⪄⊺⇮2089≹⇙⪍⊺⇮2152+⇶⊼(⊺⇮2216↺⊺⇮3874))⨎(⊺⇮4050⩚⊴⇥⊺⇮1531↺⊺⇮6083⨰⊺⇮6765⊉≛↸(⊺⇮2549⪮%⊝⊺⇮3310⋷(⊺⇮1562≫≃)))=⊺⇮-3636","reverse_text":"⊺⇮-3636=((⊺⇮2424⨟⋌⩍⊺⇮2081≦≮≮)⪄⊺⇮2089≹⇙⪍⊺⇮2152+⇶⊼(⊺⇮2216↺⊺⇮3874))⨎(⊺⇮4050⩚⊴⇥⊺⇮1531↺⊺⇮6083⨰⊺⇮6765⊉≛↸(⊺⇮2549⪮%⊝⊺⇮3310⋷(⊺⇮1562≫≃)))","cot":[{"info":"⊺⇮2424⨟⋌⩍⊺⇮2081=NaN","layer":3},{"info":"NaN≦≮≮=NaN","layer":2},{"info":"⊺⇮2089≹⇙⪍⊺⇮2152=NaN","layer":3},{"info":"⊺⇮2216↺⊺⇮3874=⊺⇮3874","layer":3},{"info":"NaN+⇶⊼⊺⇮3874=NaN","layer":2},{"info":"NaN⪄NaN=⊺⇮3979","layer":1},{"info":"⊺⇮4050⩚⊴⇥⊺⇮1531=⊺⇮-5702","layer":3},{"info":"⊺⇮6083⨰⊺⇮6765=⊺⇮-672","layer":3},{"info":"⊺⇮-5702↺⊺⇮-672=⊺⇮-672","layer":2},{"info":"⊺⇮2549⪮%⊝⊺⇮3310=⊺⇮5414","layer":3},{"info":"⊺⇮1562≫≃=⊺⇮4525","layer":3},{"info":"⊺⇮5414⋷⊺⇮4525=⊺⇮3636","layer":2},{"info":"⊺⇮-672⊉≛↸⊺⇮3636=⊺⇮-3636","layer":1},{"info":"⊺⇮3979⨎⊺⇮-3636=⊺⇮-3636","layer":0}]}
{"id":169,"expression_no_base_symbol":"($1515$⨐⩸⫘$7667$⊭↱$2254$≧⫂∧$4742$)⨰(($6869$↙$4443$)+⇶⊼($3720$∸))↺((⨰⫟⨤(⨈⫕$1527$))⇼⇔∾(⨰⫟⨤($5571$⩚⊴⇥$4282$)))","expression":"(⊺⇮1515⨐⩸⫘⊺⇮7667⊭↱⊺⇮2254≧⫂∧⊺⇮4742)⨰((⊺⇮6869↙⊺⇮4443)+⇶⊼(⊺⇮3720∸))↺((⨰⫟⨤(⨈⫕⊺⇮1527))⇼⇔∾(⨰⫟⨤(⊺⇮5571⩚⊴⇥⊺⇮4282)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":46813,"operation_count":13,"complexity_ratio":3601.0,"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":1515,"base":10},"right_expr":{"type":"numeric_atoms","value":7667,"base":10}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2254,"base":10},"right_expr":{"type":"numeric_atoms","value":4742,"base":10}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":6869,"base":10},"right_expr":{"type":"numeric_atoms","value":4443,"base":10}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":3720,"base":10}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1527,"base":10}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":5571,"base":10},"right_expr":{"type":"numeric_atoms","value":4282,"base":10}}}}},"used_operators":["7j4O788W3g","eewbuw0ToL","COABgblf1C","fu6greOZ01","Ph9nP6C5qx","TpPTUOHfaN","yyfyN0ffXY","o20kRiQErp","tifHPKVTfV","Tw270M8GLb","megm06wKyl","NTOWxs364D"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","tmPS8pqC7x","DpFCA1CohY","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1515","layer":4},{"info":"number node, value=7667","layer":4},{"info":"compute binary expreesion, left_input=1515, right_input=7667, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=2254","layer":4},{"info":"number node, value=4742","layer":4},{"info":"compute binary expreesion, left_input=2254, right_input=4742, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4269","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4269, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"number node, value=6869","layer":4},{"info":"number node, value=4443","layer":4},{"info":"compute binary expreesion, left_input=6869, right_input=4443, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-13329","layer":3},{"info":"number node, value=3720","layer":4},{"info":"compute unary expreesion, input=3720, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=-13329, 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":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=1527","layer":4},{"info":"compute unary expreesion, input=1527, 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 = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=5571","layer":4},{"info":"number node, value=4282","layer":4},{"info":"compute binary expreesion, left_input=5571, right_input=4282, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-9974","layer":3},{"info":"compute unary expreesion, input=-9974, 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 = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1515⨐⩸⫘⊺⇮7667⊭↱⊺⇮2254≧⫂∧⊺⇮4742)⨰((⊺⇮6869↙⊺⇮4443)+⇶⊼(⊺⇮3720∸))↺((⨰⫟⨤(⨈⫕⊺⇮1527))⇼⇔∾(⨰⫟⨤(⊺⇮5571⩚⊴⇥⊺⇮4282)))=NaN","reverse_text":"NaN=(⊺⇮1515⨐⩸⫘⊺⇮7667⊭↱⊺⇮2254≧⫂∧⊺⇮4742)⨰((⊺⇮6869↙⊺⇮4443)+⇶⊼(⊺⇮3720∸))↺((⨰⫟⨤(⨈⫕⊺⇮1527))⇼⇔∾(⨰⫟⨤(⊺⇮5571⩚⊴⇥⊺⇮4282)))","cot":[{"info":"⊺⇮1515⨐⩸⫘⊺⇮7667=NaN","layer":3},{"info":"⊺⇮2254≧⫂∧⊺⇮4742=⊺⇮4269","layer":3},{"info":"NaN⊭↱⊺⇮4269=NaN","layer":2},{"info":"⊺⇮6869↙⊺⇮4443=⊺⇮-13329","layer":3},{"info":"⊺⇮3720∸=⊺⇮177","layer":3},{"info":"⊺⇮-13329+⇶⊼⊺⇮177=NaN","layer":2},{"info":"NaN⨰NaN=NaN","layer":1},{"info":"⨈⫕⊺⇮1527=⊺⇮-21","layer":3},{"info":"⨰⫟⨤⊺⇮-21=NaN","layer":2},{"info":"⊺⇮5571⩚⊴⇥⊺⇮4282=⊺⇮-9974","layer":3},{"info":"⨰⫟⨤⊺⇮-9974=NaN","layer":2},{"info":"NaN⇼⇔∾NaN=NaN","layer":1},{"info":"NaN↺NaN=NaN","layer":0}]}
{"id":170,"expression_no_base_symbol":"(($4142$⨸⪁$1123$)⨐⩸⫘$4749$⋝⋈⪟$2793$)⫥∨⫟($5237$⪘⫢$1986$)⨪↰⇹$3296$⪢$1605$⊉≛↸(⩦⩻⨪($3366$⫸⊐$2536$)⪘⫢($1359$⫥∨⫟$6342$))","expression":"((⊺⇮4142⨸⪁⊺⇮1123)⨐⩸⫘⊺⇮4749⋝⋈⪟⊺⇮2793)⫥∨⫟(⊺⇮5237⪘⫢⊺⇮1986)⨪↰⇹⊺⇮3296⪢⊺⇮1605⊉≛↸(⩦⩻⨪(⊺⇮3366⫸⊐⊺⇮2536)⪘⫢(⊺⇮1359⫥∨⫟⊺⇮6342))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":12845,"operation_count":12,"complexity_ratio":1070.4166666666667,"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":4142,"base":10},"right_expr":{"type":"numeric_atoms","value":1123,"base":10}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4749,"base":10},"right_expr":{"type":"numeric_atoms","value":2793,"base":10}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":5237,"base":10},"right_expr":{"type":"numeric_atoms","value":1986,"base":10}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3296,"base":10},"right_expr":{"type":"numeric_atoms","value":1605,"base":10}}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3366,"base":10},"right_expr":{"type":"numeric_atoms","value":2536,"base":10}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1359,"base":10},"right_expr":{"type":"numeric_atoms","value":6342,"base":10}}}}},"used_operators":["DZ8iAZOCBD","KYD54nUTWz","fu6greOZ01","g55IO6H4Gj","2DDjHMKMc0","tmPS8pqC7x","oacrs7FA3X","dWAJyo7jo9","2td37pGCOC","mqXw5SEYmG"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","3ViojmjbAp","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4142","layer":4},{"info":"number node, value=1123","layer":4},{"info":"compute binary expreesion, left_input=4142, right_input=1123, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10530","layer":3},{"info":"number node, value=4749","layer":4},{"info":"number node, value=2793","layer":4},{"info":"compute binary expreesion, left_input=4749, right_input=2793, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4749","layer":3},{"info":"compute binary expreesion, left_input=10530, right_input=4749, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=5237","layer":4},{"info":"number node, value=1986","layer":4},{"info":"compute binary expreesion, left_input=5237, right_input=1986, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=10350","layer":3},{"info":"number node, value=3296","layer":4},{"info":"number node, value=1605","layer":4},{"info":"compute binary expreesion, left_input=3296, right_input=1605, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=10350, 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=10350","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=10350, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=3366","layer":4},{"info":"number node, value=2536","layer":4},{"info":"compute binary expreesion, left_input=3366, right_input=2536, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=10019","layer":3},{"info":"number node, value=1359","layer":4},{"info":"number node, value=6342","layer":4},{"info":"compute binary expreesion, left_input=1359, right_input=6342, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=10019, 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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-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":10,"result_base":10,"text":"((⊺⇮4142⨸⪁⊺⇮1123)⨐⩸⫘⊺⇮4749⋝⋈⪟⊺⇮2793)⫥∨⫟(⊺⇮5237⪘⫢⊺⇮1986)⨪↰⇹⊺⇮3296⪢⊺⇮1605⊉≛↸(⩦⩻⨪(⊺⇮3366⫸⊐⊺⇮2536)⪘⫢(⊺⇮1359⫥∨⫟⊺⇮6342))=NaN","reverse_text":"NaN=((⊺⇮4142⨸⪁⊺⇮1123)⨐⩸⫘⊺⇮4749⋝⋈⪟⊺⇮2793)⫥∨⫟(⊺⇮5237⪘⫢⊺⇮1986)⨪↰⇹⊺⇮3296⪢⊺⇮1605⊉≛↸(⩦⩻⨪(⊺⇮3366⫸⊐⊺⇮2536)⪘⫢(⊺⇮1359⫥∨⫟⊺⇮6342))","cot":[{"info":"⊺⇮4142⨸⪁⊺⇮1123=⊺⇮10530","layer":3},{"info":"⊺⇮4749⋝⋈⪟⊺⇮2793=⊺⇮4749","layer":3},{"info":"⊺⇮10530⨐⩸⫘⊺⇮4749=NaN","layer":2},{"info":"⊺⇮5237⪘⫢⊺⇮1986=⊺⇮10350","layer":3},{"info":"⊺⇮3296⪢⊺⇮1605=NaN","layer":3},{"info":"⊺⇮10350⨪↰⇹NaN=⊺⇮10350","layer":2},{"info":"NaN⫥∨⫟⊺⇮10350=NaN","layer":1},{"info":"⊺⇮3366⫸⊐⊺⇮2536=⊺⇮10019","layer":3},{"info":"⊺⇮1359⫥∨⫟⊺⇮6342=NaN","layer":3},{"info":"⊺⇮10019⪘⫢NaN=NaN","layer":2},{"info":"⩦⩻⨪NaN=NaN","layer":1},{"info":"NaN⊉≛↸NaN=NaN","layer":0}]}
{"id":171,"expression_no_base_symbol":"($3736$*$2186$)⊴($9150$≎⊠⪸$1200$)⨰($1751$⨪↰⇹$2790$-$8794$⨐⩸⫘$2659$)≧⫂∧(($2745$⪢$1833$≣⋋)%($1183$⊭↱$1913$/$5488$↙$2892$))","expression":"(⊺⇮3736*⊺⇮2186)⊴(⊺⇮9150≎⊠⪸⊺⇮1200)⨰(⊺⇮1751⨪↰⇹⊺⇮2790-⊺⇮8794⨐⩸⫘⊺⇮2659)≧⫂∧((⊺⇮2745⪢⊺⇮1833≣⋋)%(⊺⇮1183⊭↱⊺⇮1913/⊺⇮5488↙⊺⇮2892))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":9269,"operation_count":14,"complexity_ratio":662.0714285714286,"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":3736,"base":10},"right_expr":{"type":"numeric_atoms","value":2186,"base":10}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":9150,"base":10},"right_expr":{"type":"numeric_atoms","value":1200,"base":10}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1751,"base":10},"right_expr":{"type":"numeric_atoms","value":2790,"base":10}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":8794,"base":10},"right_expr":{"type":"numeric_atoms","value":2659,"base":10}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2745,"base":10},"right_expr":{"type":"numeric_atoms","value":1833,"base":10}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1183,"base":10},"right_expr":{"type":"numeric_atoms","value":1913,"base":10}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":5488,"base":10},"right_expr":{"type":"numeric_atoms","value":2892,"base":10}}}}},"used_operators":["Ph9nP6C5qx","eewbuw0ToL","Nsiff2A1zJ","9HNa5Wba9A","bJkvcejdHO","rysDP5nf3Z","tmPS8pqC7x","fu6greOZ01","k8jYdgA6NY","Tcnh7f0tEr","dWAJyo7jo9","XhwjNDsVaA","COABgblf1C","yyfyN0ffXY"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rJVOvQCfKK","3ViojmjbAp","rysDP5nf3Z","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3736","layer":4},{"info":"number node, value=2186","layer":4},{"info":"compute binary expreesion, left_input=3736, right_input=2186, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=8166896","layer":3},{"info":"number node, value=9150","layer":4},{"info":"number node, value=1200","layer":4},{"info":"compute binary expreesion, left_input=9150, right_input=1200, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=2369377","layer":3},{"info":"compute binary expreesion, left_input=8166896, right_input=2369377, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=1751","layer":4},{"info":"number node, value=2790","layer":4},{"info":"compute binary expreesion, left_input=1751, right_input=2790, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1751","layer":3},{"info":"number node, value=8794","layer":4},{"info":"number node, value=2659","layer":4},{"info":"compute binary expreesion, left_input=8794, right_input=2659, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=1751, 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 = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"number node, value=2745","layer":4},{"info":"number node, value=1833","layer":4},{"info":"compute binary expreesion, left_input=2745, right_input=1833, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=nan","layer":2},{"info":"number node, value=1183","layer":4},{"info":"number node, value=1913","layer":4},{"info":"compute binary expreesion, left_input=1183, right_input=1913, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=1465","layer":3},{"info":"number node, value=5488","layer":4},{"info":"number node, value=2892","layer":4},{"info":"compute binary expreesion, left_input=5488, right_input=2892, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-8676","layer":3},{"info":"compute binary expreesion, left_input=1465, right_input=-8676, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1, op_id = k8jYdgA6NY binary_op_definition= 'None', 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":10,"result_base":10,"text":"(⊺⇮3736*⊺⇮2186)⊴(⊺⇮9150≎⊠⪸⊺⇮1200)⨰(⊺⇮1751⨪↰⇹⊺⇮2790-⊺⇮8794⨐⩸⫘⊺⇮2659)≧⫂∧((⊺⇮2745⪢⊺⇮1833≣⋋)%(⊺⇮1183⊭↱⊺⇮1913/⊺⇮5488↙⊺⇮2892))=NaN","reverse_text":"NaN=(⊺⇮3736*⊺⇮2186)⊴(⊺⇮9150≎⊠⪸⊺⇮1200)⨰(⊺⇮1751⨪↰⇹⊺⇮2790-⊺⇮8794⨐⩸⫘⊺⇮2659)≧⫂∧((⊺⇮2745⪢⊺⇮1833≣⋋)%(⊺⇮1183⊭↱⊺⇮1913/⊺⇮5488↙⊺⇮2892))","cot":[{"info":"⊺⇮3736*⊺⇮2186=⊺⇮8166896","layer":3},{"info":"⊺⇮9150≎⊠⪸⊺⇮1200=⊺⇮2369377","layer":3},{"info":"⊺⇮8166896⊴⊺⇮2369377=NaN","layer":2},{"info":"⊺⇮1751⨪↰⇹⊺⇮2790=⊺⇮1751","layer":3},{"info":"⊺⇮8794⨐⩸⫘⊺⇮2659=NaN","layer":3},{"info":"⊺⇮1751-NaN=NaN","layer":2},{"info":"NaN⨰NaN=NaN","layer":1},{"info":"⊺⇮2745⪢⊺⇮1833=NaN","layer":3},{"info":"NaN≣⋋=NaN","layer":2},{"info":"⊺⇮1183⊭↱⊺⇮1913=⊺⇮1465","layer":3},{"info":"⊺⇮5488↙⊺⇮2892=⊺⇮-8676","layer":3},{"info":"⊺⇮1465/⊺⇮-8676=⊺⇮-1","layer":2},{"info":"NaN%⊺⇮-1=NaN","layer":1},{"info":"NaN≧⫂∧NaN=NaN","layer":0}]}
{"id":172,"expression_no_base_symbol":"(⊙↵-($5206$⨪↰⇹$1340$⨳⩥⨓($4740$⇋≉)))⩨(($3073$⇋≉)⪛($4666$⩨$1872$)⪐)","expression":"(⊙↵-(⊺⇮5206⨪↰⇹⊺⇮1340⨳⩥⨓(⊺⇮4740⇋≉)))⩨((⊺⇮3073⇋≉)⪛(⊺⇮4666⩨⊺⇮1872)⪐)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":9451,"operation_count":9,"complexity_ratio":1050.111111111111,"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":5206,"base":10},"right_expr":{"type":"numeric_atoms","value":1340,"base":10}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":4740,"base":10}}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":3073,"base":10}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4666,"base":10},"right_expr":{"type":"numeric_atoms","value":1872,"base":10}}}}},"used_operators":["2DlMacCsIx","oWn0xqSxBt","nCS4ZIUYfx","tmPS8pqC7x","XIabStNQrY","eH2TOUuTDT","uFcxV4UQCh"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","rysDP5nf3Z","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=5206","layer":4},{"info":"number node, value=1340","layer":4},{"info":"compute binary expreesion, left_input=5206, right_input=1340, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=5206","layer":3},{"info":"number node, value=4740","layer":4},{"info":"compute unary expreesion, input=4740, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=9382","layer":3},{"info":"compute binary expreesion, left_input=5206, right_input=9382, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=4176","layer":2},{"info":"compute unary expreesion, input=4176, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"number node, value=3073","layer":4},{"info":"compute unary expreesion, input=3073, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=6048","layer":3},{"info":"number node, value=4666","layer":4},{"info":"number node, value=1872","layer":4},{"info":"compute binary expreesion, left_input=4666, right_input=1872, 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=6048, 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 = 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=-1, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊙↵-(⊺⇮5206⨪↰⇹⊺⇮1340⨳⩥⨓(⊺⇮4740⇋≉)))⩨((⊺⇮3073⇋≉)⪛(⊺⇮4666⩨⊺⇮1872)⪐)=NaN","reverse_text":"NaN=(⊙↵-(⊺⇮5206⨪↰⇹⊺⇮1340⨳⩥⨓(⊺⇮4740⇋≉)))⩨((⊺⇮3073⇋≉)⪛(⊺⇮4666⩨⊺⇮1872)⪐)","cot":[{"info":"⊺⇮5206⨪↰⇹⊺⇮1340=⊺⇮5206","layer":3},{"info":"⊺⇮4740⇋≉=⊺⇮9382","layer":3},{"info":"⊺⇮5206⨳⩥⨓⊺⇮9382=⊺⇮4176","layer":2},{"info":"⊙↵-⊺⇮4176=⊺⇮-1","layer":1},{"info":"⊺⇮3073⇋≉=⊺⇮6048","layer":3},{"info":"⊺⇮4666⩨⊺⇮1872=⊺⇮0","layer":3},{"info":"⊺⇮6048⪛⊺⇮0=NaN","layer":2},{"info":"NaN⪐=NaN","layer":1},{"info":"⊺⇮-1⩨NaN=NaN","layer":0}]}
{"id":173,"expression_no_base_symbol":"⨵≀≌($2815$≎⊠⪸$2109$⊉≛↸$2399$⫥∨⫟$4982$)⨪↰⇹($1337$⇷$2339$-(⨈⫕$1419$))","expression":"⨵≀≌(⊺⇮2815≎⊠⪸⊺⇮2109⊉≛↸⊺⇮2399⫥∨⫟⊺⇮4982)⨪↰⇹(⊺⇮1337⇷⊺⇮2339-(⨈⫕⊺⇮1419))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":19541,"operation_count":8,"complexity_ratio":2442.625,"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":2815,"base":10},"right_expr":{"type":"numeric_atoms","value":2109,"base":10}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2399,"base":10},"right_expr":{"type":"numeric_atoms","value":4982,"base":10}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1337,"base":10},"right_expr":{"type":"numeric_atoms","value":2339,"base":10}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1419,"base":10}}}}},"used_operators":["srAu1WTS94","tmPS8pqC7x","DZ8iAZOCBD","bJkvcejdHO","KYD54nUTWz","rysDP5nf3Z","mp7IySMOzn","megm06wKyl"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","8HhzD0ZcuI","rGHVDoGpnC","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2815","layer":4},{"info":"number node, value=2109","layer":4},{"info":"compute binary expreesion, left_input=2815, right_input=2109, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=728612","layer":3},{"info":"number node, value=2399","layer":4},{"info":"number node, value=4982","layer":4},{"info":"compute binary expreesion, left_input=2399, right_input=4982, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=728612, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=1457224","layer":2},{"info":"number node, value=1337","layer":4},{"info":"number node, value=2339","layer":4},{"info":"compute binary expreesion, left_input=1337, right_input=2339, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4678","layer":3},{"info":"number node, value=1419","layer":4},{"info":"compute unary expreesion, input=1419, 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=4678, right_input=-21, op_id = rysDP5nf3Z binary_op_definition= 'None', output=4699","layer":2},{"info":"compute binary expreesion, left_input=1457224, right_input=4699, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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 = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⨵≀≌(⊺⇮2815≎⊠⪸⊺⇮2109⊉≛↸⊺⇮2399⫥∨⫟⊺⇮4982)⨪↰⇹(⊺⇮1337⇷⊺⇮2339-(⨈⫕⊺⇮1419))=NaN","reverse_text":"NaN=⨵≀≌(⊺⇮2815≎⊠⪸⊺⇮2109⊉≛↸⊺⇮2399⫥∨⫟⊺⇮4982)⨪↰⇹(⊺⇮1337⇷⊺⇮2339-(⨈⫕⊺⇮1419))","cot":[{"info":"⊺⇮2815≎⊠⪸⊺⇮2109=⊺⇮728612","layer":3},{"info":"⊺⇮2399⫥∨⫟⊺⇮4982=NaN","layer":3},{"info":"⊺⇮728612⊉≛↸NaN=⊺⇮1457224","layer":2},{"info":"⊺⇮1337⇷⊺⇮2339=⊺⇮4678","layer":3},{"info":"⨈⫕⊺⇮1419=⊺⇮-21","layer":3},{"info":"⊺⇮4678-⊺⇮-21=⊺⇮4699","layer":2},{"info":"⊺⇮1457224⨪↰⇹⊺⇮4699=NaN","layer":1},{"info":"⨵≀≌NaN=NaN","layer":0}]}
{"id":174,"expression_no_base_symbol":"($2038$⪨≂$1279$)*($1068$-$3733$)+(≤/$1981$⩚⊴⇥$6500$)⪨≂(≤/($2279$%$2446$))⋓(⊥($1431$⋥≓≎$2095$))","expression":"(⊺⇮2038⪨≂⊺⇮1279)*(⊺⇮1068-⊺⇮3733)+(≤/⊺⇮1981⩚⊴⇥⊺⇮6500)⪨≂(≤/(⊺⇮2279%⊺⇮2446))⋓(⊥(⊺⇮1431⋥≓≎⊺⇮2095))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1656,"operation_count":12,"complexity_ratio":138.0,"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":2038,"base":10},"right_expr":{"type":"numeric_atoms","value":1279,"base":10}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1068,"base":10},"right_expr":{"type":"numeric_atoms","value":3733,"base":10}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1981,"base":10},"right_expr":{"type":"numeric_atoms","value":6500,"base":10}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2279,"base":10},"right_expr":{"type":"numeric_atoms","value":2446,"base":10}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1431,"base":10},"right_expr":{"type":"numeric_atoms","value":2095,"base":10}}}}},"used_operators":["sdazOOVcIp","W4YGzv6Whe","9HNa5Wba9A","rysDP5nf3Z","eLAdDNolq6","NTOWxs364D","T2fj7uvVaJ","k8jYdgA6NY","Q3PJZHRvZv","Qy55tPpLXF"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","fu6greOZ01","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2038","layer":4},{"info":"number node, value=1279","layer":4},{"info":"compute binary expreesion, left_input=2038, right_input=1279, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=1620","layer":3},{"info":"number node, value=1068","layer":4},{"info":"number node, value=3733","layer":4},{"info":"compute binary expreesion, left_input=1068, right_input=3733, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-2665","layer":3},{"info":"compute binary expreesion, left_input=1620, right_input=-2665, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-4317300","layer":2},{"info":"number node, value=1981","layer":4},{"info":"number node, value=6500","layer":4},{"info":"compute binary expreesion, left_input=1981, right_input=6500, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8602","layer":3},{"info":"compute unary expreesion, input=-8602, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=9086","layer":2},{"info":"compute binary expreesion, left_input=-4317300, right_input=9086, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-4308214","layer":1},{"info":"number node, value=2279","layer":4},{"info":"number node, value=2446","layer":4},{"info":"compute binary expreesion, left_input=2279, right_input=2446, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2279","layer":3},{"info":"compute unary expreesion, input=2279, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1795","layer":2},{"info":"number node, value=1431","layer":4},{"info":"number node, value=2095","layer":4},{"info":"compute binary expreesion, left_input=1431, right_input=2095, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2792","layer":3},{"info":"compute unary expreesion, input=2792, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1795, 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=-4308214, 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":10,"result_base":10,"text":"(⊺⇮2038⪨≂⊺⇮1279)*(⊺⇮1068-⊺⇮3733)+(≤/⊺⇮1981⩚⊴⇥⊺⇮6500)⪨≂(≤/(⊺⇮2279%⊺⇮2446))⋓(⊥(⊺⇮1431⋥≓≎⊺⇮2095))=NaN","reverse_text":"NaN=(⊺⇮2038⪨≂⊺⇮1279)*(⊺⇮1068-⊺⇮3733)+(≤/⊺⇮1981⩚⊴⇥⊺⇮6500)⪨≂(≤/(⊺⇮2279%⊺⇮2446))⋓(⊥(⊺⇮1431⋥≓≎⊺⇮2095))","cot":[{"info":"⊺⇮2038⪨≂⊺⇮1279=⊺⇮1620","layer":3},{"info":"⊺⇮1068-⊺⇮3733=⊺⇮-2665","layer":3},{"info":"⊺⇮1620*⊺⇮-2665=⊺⇮-4317300","layer":2},{"info":"⊺⇮1981⩚⊴⇥⊺⇮6500=⊺⇮-8602","layer":3},{"info":"≤/⊺⇮-8602=⊺⇮9086","layer":2},{"info":"⊺⇮-4317300+⊺⇮9086=⊺⇮-4308214","layer":1},{"info":"⊺⇮2279%⊺⇮2446=⊺⇮2279","layer":3},{"info":"≤/⊺⇮2279=⊺⇮-1795","layer":2},{"info":"⊺⇮1431⋥≓≎⊺⇮2095=⊺⇮2792","layer":3},{"info":"⊥⊺⇮2792=NaN","layer":2},{"info":"⊺⇮-1795⋓NaN=NaN","layer":1},{"info":"⊺⇮-4308214⪨≂NaN=NaN","layer":0}]}
{"id":175,"expression_no_base_symbol":"⊥((≉(↽≂$1425$))⨪↰⇹(($3979$⫡⨏$3279$)⨸⪁($1001$⊉≛↸$2493$)))","expression":"⊥((≉(↽≂⊺⇮1425))⨪↰⇹((⊺⇮3979⫡⨏⊺⇮3279)⨸⪁(⊺⇮1001⊉≛↸⊺⇮2493)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2867,"operation_count":7,"complexity_ratio":409.57142857142856,"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":1425,"base":10}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3979,"base":10},"right_expr":{"type":"numeric_atoms","value":3279,"base":10}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1001,"base":10},"right_expr":{"type":"numeric_atoms","value":2493,"base":10}}}}},"used_operators":["Q3PJZHRvZv","tmPS8pqC7x","e1ybzncUwg","u6S6b8DprG","g55IO6H4Gj","QMFrweE19q","DZ8iAZOCBD"],"dependent_operators":["fu6greOZ01","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1425","layer":4},{"info":"compute unary expreesion, input=1425, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2850","layer":3},{"info":"compute unary expreesion, input=-2850, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-2850","layer":2},{"info":"number node, value=3979","layer":4},{"info":"number node, value=3279","layer":4},{"info":"compute binary expreesion, left_input=3979, right_input=3279, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=27236","layer":3},{"info":"number node, value=1001","layer":4},{"info":"number node, value=2493","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=2493, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2002","layer":3},{"info":"compute binary expreesion, left_input=27236, right_input=2002, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=58476","layer":2},{"info":"compute binary expreesion, left_input=-2850, right_input=58476, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=-2850","layer":1},{"info":"compute unary expreesion, input=-2850, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⊥((≉(↽≂⊺⇮1425))⨪↰⇹((⊺⇮3979⫡⨏⊺⇮3279)⨸⪁(⊺⇮1001⊉≛↸⊺⇮2493)))=NaN","reverse_text":"NaN=⊥((≉(↽≂⊺⇮1425))⨪↰⇹((⊺⇮3979⫡⨏⊺⇮3279)⨸⪁(⊺⇮1001⊉≛↸⊺⇮2493)))","cot":[{"info":"↽≂⊺⇮1425=⊺⇮-2850","layer":3},{"info":"≉⊺⇮-2850=⊺⇮-2850","layer":2},{"info":"⊺⇮3979⫡⨏⊺⇮3279=⊺⇮27236","layer":3},{"info":"⊺⇮1001⊉≛↸⊺⇮2493=⊺⇮2002","layer":3},{"info":"⊺⇮27236⨸⪁⊺⇮2002=⊺⇮58476","layer":2},{"info":"⊺⇮-2850⨪↰⇹⊺⇮58476=⊺⇮-2850","layer":1},{"info":"⊥⊺⇮-2850=NaN","layer":0}]}
{"id":176,"expression_no_base_symbol":"⨰⫟⨤(($2614$↪⪝)∲⫓(⪲⇎$2978$))∀⇚≩($1063$⨵⪆$1273$)⪛($3703$⩷∴$2026$)","expression":"⨰⫟⨤((⊺⇮2614↪⪝)∲⫓(⪲⇎⊺⇮2978))∀⇚≩(⊺⇮1063⨵⪆⊺⇮1273)⪛(⊺⇮3703⩷∴⊺⇮2026)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1608,"operation_count":8,"complexity_ratio":201.0,"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":2614,"base":10}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":2978,"base":10}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1063,"base":10},"right_expr":{"type":"numeric_atoms","value":1273,"base":10}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3703,"base":10},"right_expr":{"type":"numeric_atoms","value":2026,"base":10}}}}},"used_operators":["Tw270M8GLb","LRNGc0VcxI","i8ToyICDmI","l07mrZUIn9","XPYlsWDdGa","uFcxV4UQCh","2DQ55sFlQl","9FxExcQeMw"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2614","layer":4},{"info":"compute unary expreesion, input=2614, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=159929748","layer":3},{"info":"number node, value=2978","layer":4},{"info":"compute unary expreesion, input=2978, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=5956","layer":3},{"info":"compute binary expreesion, left_input=159929748, right_input=5956, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=1063","layer":4},{"info":"number node, value=1273","layer":4},{"info":"compute binary expreesion, left_input=1063, right_input=1273, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=3703","layer":4},{"info":"number node, value=2026","layer":4},{"info":"compute binary expreesion, left_input=3703, right_input=2026, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=3322","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=3322, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=0, 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=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⨰⫟⨤((⊺⇮2614↪⪝)∲⫓(⪲⇎⊺⇮2978))∀⇚≩(⊺⇮1063⨵⪆⊺⇮1273)⪛(⊺⇮3703⩷∴⊺⇮2026)=NaN","reverse_text":"NaN=⨰⫟⨤((⊺⇮2614↪⪝)∲⫓(⪲⇎⊺⇮2978))∀⇚≩(⊺⇮1063⨵⪆⊺⇮1273)⪛(⊺⇮3703⩷∴⊺⇮2026)","cot":[{"info":"⊺⇮2614↪⪝=⊺⇮159929748","layer":3},{"info":"⪲⇎⊺⇮2978=⊺⇮5956","layer":3},{"info":"⊺⇮159929748∲⫓⊺⇮5956=⊺⇮0","layer":2},{"info":"⊺⇮1063⨵⪆⊺⇮1273=⊺⇮160","layer":3},{"info":"⊺⇮3703⩷∴⊺⇮2026=⊺⇮3322","layer":3},{"info":"⊺⇮160⪛⊺⇮3322=⊺⇮160","layer":2},{"info":"⊺⇮0∀⇚≩⊺⇮160=⊺⇮160","layer":1},{"info":"⨰⫟⨤⊺⇮160=NaN","layer":0}]}
{"id":177,"expression_no_base_symbol":"($8474$↙$1142$)⋳⪒$1861$≎⊠⪸$3446$⨎(($2035$⋷$2782$)⪄($1275$⫌⩹⨱))⫸⊐($1927$⨓$8993$≎⊠⪸($1746$↺$2274$)⋫)","expression":"(⊺⇮8474↙⊺⇮1142)⋳⪒⊺⇮1861≎⊠⪸⊺⇮3446⨎((⊺⇮2035⋷⊺⇮2782)⪄(⊺⇮1275⫌⩹⨱))⫸⊐(⊺⇮1927⨓⊺⇮8993≎⊠⪸(⊺⇮1746↺⊺⇮2274)⋫)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":10805,"operation_count":12,"complexity_ratio":900.4166666666666,"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":8474,"base":10},"right_expr":{"type":"numeric_atoms","value":1142,"base":10}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1861,"base":10},"right_expr":{"type":"numeric_atoms","value":3446,"base":10}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2035,"base":10},"right_expr":{"type":"numeric_atoms","value":2782,"base":10}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1275,"base":10}}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1927,"base":10},"right_expr":{"type":"numeric_atoms","value":8993,"base":10}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1746,"base":10},"right_expr":{"type":"numeric_atoms","value":2274,"base":10}}}}},"used_operators":["mqXw5SEYmG","rJVOvQCfKK","12rbrZMWeM","yyfyN0ffXY","bJkvcejdHO","SUmda5xLS4","23Mk6UjR3U","EBcxylXtPf","JL8yIekQnl","3ViojmjbAp","7j4O788W3g"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","tmPS8pqC7x","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd"],"result":"⊺⇮968","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=8474","layer":4},{"info":"number node, value=1142","layer":4},{"info":"compute binary expreesion, left_input=8474, right_input=1142, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3426","layer":3},{"info":"number node, value=1861","layer":4},{"info":"number node, value=3446","layer":4},{"info":"compute binary expreesion, left_input=1861, right_input=3446, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=481526","layer":3},{"info":"compute binary expreesion, left_input=-3426, right_input=481526, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-488665","layer":2},{"info":"number node, value=2035","layer":4},{"info":"number node, value=2782","layer":4},{"info":"compute binary expreesion, left_input=2035, right_input=2782, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3529","layer":3},{"info":"number node, value=1275","layer":4},{"info":"compute unary expreesion, input=1275, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=3951","layer":3},{"info":"compute binary expreesion, left_input=3529, right_input=3951, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-534185","layer":2},{"info":"compute binary expreesion, left_input=-488665, right_input=-534185, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-534185","layer":1},{"info":"number node, value=1927","layer":4},{"info":"number node, value=8993","layer":4},{"info":"compute binary expreesion, left_input=1927, right_input=8993, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-8996","layer":3},{"info":"number node, value=1746","layer":4},{"info":"number node, value=2274","layer":4},{"info":"compute binary expreesion, left_input=1746, right_input=2274, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2274","layer":3},{"info":"compute binary expreesion, left_input=-8996, right_input=2274, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=2329964","layer":2},{"info":"compute unary expreesion, input=2329964, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-534185, 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":10,"result_base":10,"text":"(⊺⇮8474↙⊺⇮1142)⋳⪒⊺⇮1861≎⊠⪸⊺⇮3446⨎((⊺⇮2035⋷⊺⇮2782)⪄(⊺⇮1275⫌⩹⨱))⫸⊐(⊺⇮1927⨓⊺⇮8993≎⊠⪸(⊺⇮1746↺⊺⇮2274)⋫)=⊺⇮968","reverse_text":"⊺⇮968=(⊺⇮8474↙⊺⇮1142)⋳⪒⊺⇮1861≎⊠⪸⊺⇮3446⨎((⊺⇮2035⋷⊺⇮2782)⪄(⊺⇮1275⫌⩹⨱))⫸⊐(⊺⇮1927⨓⊺⇮8993≎⊠⪸(⊺⇮1746↺⊺⇮2274)⋫)","cot":[{"info":"⊺⇮8474↙⊺⇮1142=⊺⇮-3426","layer":3},{"info":"⊺⇮1861≎⊠⪸⊺⇮3446=⊺⇮481526","layer":3},{"info":"⊺⇮-3426⋳⪒⊺⇮481526=⊺⇮-488665","layer":2},{"info":"⊺⇮2035⋷⊺⇮2782=⊺⇮3529","layer":3},{"info":"⊺⇮1275⫌⩹⨱=⊺⇮3951","layer":3},{"info":"⊺⇮3529⪄⊺⇮3951=⊺⇮-534185","layer":2},{"info":"⊺⇮-488665⨎⊺⇮-534185=⊺⇮-534185","layer":1},{"info":"⊺⇮1927⨓⊺⇮8993=⊺⇮-8996","layer":3},{"info":"⊺⇮1746↺⊺⇮2274=⊺⇮2274","layer":3},{"info":"⊺⇮-8996≎⊠⪸⊺⇮2274=⊺⇮2329964","layer":2},{"info":"⊺⇮2329964⋫=NaN","layer":1},{"info":"⊺⇮-534185⫸⊐NaN=⊺⇮968","layer":0}]}
{"id":178,"expression_no_base_symbol":"(($3709$-$4606$)≧⫂∧($1159$⋥≓≎$3803$)⫌⩹⨱)⪛(↥$1165$⪮%⊝$1095$⋓($2572$⫥∨⫟$2601$))","expression":"((⊺⇮3709-⊺⇮4606)≧⫂∧(⊺⇮1159⋥≓≎⊺⇮3803)⫌⩹⨱)⪛(↥⊺⇮1165⪮%⊝⊺⇮1095⋓(⊺⇮2572⫥∨⫟⊺⇮2601))","highest_n_order":4,"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":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3709,"base":10},"right_expr":{"type":"numeric_atoms","value":4606,"base":10}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1159,"base":10},"right_expr":{"type":"numeric_atoms","value":3803,"base":10}}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1165,"base":10},"right_expr":{"type":"numeric_atoms","value":1095,"base":10}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2572,"base":10},"right_expr":{"type":"numeric_atoms","value":2601,"base":10}}}}},"used_operators":["uFcxV4UQCh","EBcxylXtPf","Ph9nP6C5qx","rysDP5nf3Z","Qy55tPpLXF","A8NUZmVepG","T2fj7uvVaJ","IWmyXbctLI","KYD54nUTWz"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3709","layer":4},{"info":"number node, value=4606","layer":4},{"info":"compute binary expreesion, left_input=3709, right_input=4606, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-897","layer":3},{"info":"number node, value=1159","layer":4},{"info":"number node, value=3803","layer":4},{"info":"compute binary expreesion, left_input=1159, right_input=3803, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=6480","layer":3},{"info":"compute binary expreesion, left_input=-897, right_input=6480, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=6007","layer":2},{"info":"compute unary expreesion, input=6007, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=13415","layer":1},{"info":"number node, value=1165","layer":4},{"info":"number node, value=1095","layer":4},{"info":"compute binary expreesion, left_input=1165, right_input=1095, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2646","layer":3},{"info":"number node, value=2572","layer":4},{"info":"number node, value=2601","layer":4},{"info":"compute binary expreesion, left_input=2572, right_input=2601, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2646, 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 = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=13415, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮3709-⊺⇮4606)≧⫂∧(⊺⇮1159⋥≓≎⊺⇮3803)⫌⩹⨱)⪛(↥⊺⇮1165⪮%⊝⊺⇮1095⋓(⊺⇮2572⫥∨⫟⊺⇮2601))=NaN","reverse_text":"NaN=((⊺⇮3709-⊺⇮4606)≧⫂∧(⊺⇮1159⋥≓≎⊺⇮3803)⫌⩹⨱)⪛(↥⊺⇮1165⪮%⊝⊺⇮1095⋓(⊺⇮2572⫥∨⫟⊺⇮2601))","cot":[{"info":"⊺⇮3709-⊺⇮4606=⊺⇮-897","layer":3},{"info":"⊺⇮1159⋥≓≎⊺⇮3803=⊺⇮6480","layer":3},{"info":"⊺⇮-897≧⫂∧⊺⇮6480=⊺⇮6007","layer":2},{"info":"⊺⇮6007⫌⩹⨱=⊺⇮13415","layer":1},{"info":"⊺⇮1165⪮%⊝⊺⇮1095=⊺⇮2646","layer":3},{"info":"⊺⇮2572⫥∨⫟⊺⇮2601=NaN","layer":3},{"info":"⊺⇮2646⋓NaN=NaN","layer":2},{"info":"↥NaN=NaN","layer":1},{"info":"⊺⇮13415⪛NaN=NaN","layer":0}]}
{"id":179,"expression_no_base_symbol":"((↯⪼($1209$≎⊠⪸$2025$))⪒(↩($1439$⨸⪁$4015$)))⫸⊐(⨑⩽⪐(⨰⫟⨤($1013$/$2737$)))","expression":"((↯⪼(⊺⇮1209≎⊠⪸⊺⇮2025))⪒(↩(⊺⇮1439⨸⪁⊺⇮4015)))⫸⊐(⨑⩽⪐(⨰⫟⨤(⊺⇮1013/⊺⇮2737)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1244,"operation_count":9,"complexity_ratio":138.22222222222223,"tree":{"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":10},"right_expr":{"type":"numeric_atoms","value":2025,"base":10}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1439,"base":10},"right_expr":{"type":"numeric_atoms","value":4015,"base":10}}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1013,"base":10},"right_expr":{"type":"numeric_atoms","value":2737,"base":10}}}}},"used_operators":["mqXw5SEYmG","f6k1SAg4EE","8jW3W4yZS5","bJkvcejdHO","jLgFTUHLKL","g55IO6H4Gj","AF7qkfDlqP","Tw270M8GLb","XhwjNDsVaA"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z"],"result":"⊺⇮-8984907","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1209","layer":4},{"info":"number node, value=2025","layer":4},{"info":"compute binary expreesion, left_input=1209, right_input=2025, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=312658","layer":3},{"info":"compute unary expreesion, input=312658, 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=1439","layer":4},{"info":"number node, value=4015","layer":4},{"info":"compute binary expreesion, left_input=1439, right_input=4015, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10908","layer":3},{"info":"compute unary expreesion, input=10908, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-84484","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=-84484, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=84505","layer":1},{"info":"number node, value=1013","layer":4},{"info":"number node, value=2737","layer":4},{"info":"compute binary expreesion, left_input=1013, right_input=2737, 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 unary expreesion, input=4492662, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-4492389","layer":1},{"info":"compute binary expreesion, left_input=84505, right_input=-4492389, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-8984907","layer":0}],"base":10,"result_base":10,"text":"((↯⪼(⊺⇮1209≎⊠⪸⊺⇮2025))⪒(↩(⊺⇮1439⨸⪁⊺⇮4015)))⫸⊐(⨑⩽⪐(⨰⫟⨤(⊺⇮1013/⊺⇮2737)))=⊺⇮-8984907","reverse_text":"⊺⇮-8984907=((↯⪼(⊺⇮1209≎⊠⪸⊺⇮2025))⪒(↩(⊺⇮1439⨸⪁⊺⇮4015)))⫸⊐(⨑⩽⪐(⨰⫟⨤(⊺⇮1013/⊺⇮2737)))","cot":[{"info":"⊺⇮1209≎⊠⪸⊺⇮2025=⊺⇮312658","layer":3},{"info":"↯⪼⊺⇮312658=⊺⇮-21","layer":2},{"info":"⊺⇮1439⨸⪁⊺⇮4015=⊺⇮10908","layer":3},{"info":"↩⊺⇮10908=⊺⇮-84484","layer":2},{"info":"⊺⇮-21⪒⊺⇮-84484=⊺⇮84505","layer":1},{"info":"⊺⇮1013/⊺⇮2737=⊺⇮0","layer":3},{"info":"⨰⫟⨤⊺⇮0=⊺⇮4492662","layer":2},{"info":"⨑⩽⪐⊺⇮4492662=⊺⇮-4492389","layer":1},{"info":"⊺⇮84505⫸⊐⊺⇮-4492389=⊺⇮-8984907","layer":0}]}
{"id":180,"expression_no_base_symbol":"($1117$⨪↰⇹$1438$↺$5884$⋥≓≎$1948$)⨐⩸⫘($2567$⩚⊴⇥$7143$⋷(⫛⫱⨽$7052$))⊭↱(↯⪼((⨞⊢$2319$)⋝⋈⪟($3271$-$4065$)))","expression":"(⊺⇮1117⨪↰⇹⊺⇮1438↺⊺⇮5884⋥≓≎⊺⇮1948)⨐⩸⫘(⊺⇮2567⩚⊴⇥⊺⇮7143⋷(⫛⫱⨽⊺⇮7052))⊭↱(↯⪼((⨞⊢⊺⇮2319)⋝⋈⪟(⊺⇮3271-⊺⇮4065)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2576,"operation_count":12,"complexity_ratio":214.66666666666666,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1117,"base":10},"right_expr":{"type":"numeric_atoms","value":1438,"base":10}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":5884,"base":10},"right_expr":{"type":"numeric_atoms","value":1948,"base":10}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2567,"base":10},"right_expr":{"type":"numeric_atoms","value":7143,"base":10}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":7052,"base":10}}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2319,"base":10}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3271,"base":10},"right_expr":{"type":"numeric_atoms","value":4065,"base":10}}}}},"used_operators":["COABgblf1C","fu6greOZ01","7j4O788W3g","tmPS8pqC7x","Qy55tPpLXF","23Mk6UjR3U","NTOWxs364D","DlLNRPXxWL","8jW3W4yZS5","2DDjHMKMc0","xUOZtlo3hN","rysDP5nf3Z"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rGHVDoGpnC","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1117","layer":4},{"info":"number node, value=1438","layer":4},{"info":"compute binary expreesion, left_input=1117, right_input=1438, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1117","layer":3},{"info":"number node, value=5884","layer":4},{"info":"number node, value=1948","layer":4},{"info":"compute binary expreesion, left_input=5884, right_input=1948, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1955","layer":3},{"info":"compute binary expreesion, left_input=1117, right_input=-1955, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-1955","layer":2},{"info":"number node, value=2567","layer":4},{"info":"number node, value=7143","layer":4},{"info":"compute binary expreesion, left_input=2567, right_input=7143, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-9831","layer":3},{"info":"number node, value=7052","layer":4},{"info":"compute unary expreesion, input=7052, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-9831, right_input=0, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=19662","layer":2},{"info":"compute binary expreesion, left_input=-1955, right_input=19662, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=2319","layer":4},{"info":"compute unary expreesion, input=2319, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2493","layer":3},{"info":"number node, value=3271","layer":4},{"info":"number node, value=4065","layer":4},{"info":"compute binary expreesion, left_input=3271, right_input=4065, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-794","layer":3},{"info":"compute binary expreesion, left_input=-2493, right_input=-794, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-2493","layer":2},{"info":"compute unary expreesion, input=-2493, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=4069","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4069, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1117⨪↰⇹⊺⇮1438↺⊺⇮5884⋥≓≎⊺⇮1948)⨐⩸⫘(⊺⇮2567⩚⊴⇥⊺⇮7143⋷(⫛⫱⨽⊺⇮7052))⊭↱(↯⪼((⨞⊢⊺⇮2319)⋝⋈⪟(⊺⇮3271-⊺⇮4065)))=NaN","reverse_text":"NaN=(⊺⇮1117⨪↰⇹⊺⇮1438↺⊺⇮5884⋥≓≎⊺⇮1948)⨐⩸⫘(⊺⇮2567⩚⊴⇥⊺⇮7143⋷(⫛⫱⨽⊺⇮7052))⊭↱(↯⪼((⨞⊢⊺⇮2319)⋝⋈⪟(⊺⇮3271-⊺⇮4065)))","cot":[{"info":"⊺⇮1117⨪↰⇹⊺⇮1438=⊺⇮1117","layer":3},{"info":"⊺⇮5884⋥≓≎⊺⇮1948=⊺⇮-1955","layer":3},{"info":"⊺⇮1117↺⊺⇮-1955=⊺⇮-1955","layer":2},{"info":"⊺⇮2567⩚⊴⇥⊺⇮7143=⊺⇮-9831","layer":3},{"info":"⫛⫱⨽⊺⇮7052=⊺⇮0","layer":3},{"info":"⊺⇮-9831⋷⊺⇮0=⊺⇮19662","layer":2},{"info":"⊺⇮-1955⨐⩸⫘⊺⇮19662=NaN","layer":1},{"info":"⨞⊢⊺⇮2319=⊺⇮-2493","layer":3},{"info":"⊺⇮3271-⊺⇮4065=⊺⇮-794","layer":3},{"info":"⊺⇮-2493⋝⋈⪟⊺⇮-794=⊺⇮-2493","layer":2},{"info":"↯⪼⊺⇮-2493=⊺⇮4069","layer":1},{"info":"NaN⊭↱⊺⇮4069=NaN","layer":0}]}
{"id":181,"expression_no_base_symbol":"⪝⪂⫅(($4509$⊉≛↸$2451$)⪢($5035$⊘)+$1544$⇷$3104$⋓($3233$∸))","expression":"⪝⪂⫅((⊺⇮4509⊉≛↸⊺⇮2451)⪢(⊺⇮5035⊘)+⊺⇮1544⇷⊺⇮3104⋓(⊺⇮3233∸))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":21839,"operation_count":8,"complexity_ratio":2729.875,"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":4509,"base":10},"right_expr":{"type":"numeric_atoms","value":2451,"base":10}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":5035,"base":10}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1544,"base":10},"right_expr":{"type":"numeric_atoms","value":3104,"base":10}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":3233,"base":10}}}}},"used_operators":["XTarYq4gQB","W4YGzv6Whe","dWAJyo7jo9","DZ8iAZOCBD","gu96TGCTMs","T2fj7uvVaJ","mp7IySMOzn","o20kRiQErp"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","tmPS8pqC7x"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=4509","layer":4},{"info":"number node, value=2451","layer":4},{"info":"compute binary expreesion, left_input=4509, right_input=2451, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=9018","layer":3},{"info":"number node, value=5035","layer":4},{"info":"compute unary expreesion, input=5035, 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=9018, 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":"number node, value=1544","layer":4},{"info":"number node, value=3104","layer":4},{"info":"compute binary expreesion, left_input=1544, right_input=3104, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6208","layer":3},{"info":"number node, value=3233","layer":4},{"info":"compute unary expreesion, input=3233, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=6208, 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":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = W4YGzv6Whe binary_op_definition= 'None', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=0","layer":0}],"base":10,"result_base":10,"text":"⪝⪂⫅((⊺⇮4509⊉≛↸⊺⇮2451)⪢(⊺⇮5035⊘)+⊺⇮1544⇷⊺⇮3104⋓(⊺⇮3233∸))=⊺⇮0","reverse_text":"⊺⇮0=⪝⪂⫅((⊺⇮4509⊉≛↸⊺⇮2451)⪢(⊺⇮5035⊘)+⊺⇮1544⇷⊺⇮3104⋓(⊺⇮3233∸))","cot":[{"info":"⊺⇮4509⊉≛↸⊺⇮2451=⊺⇮9018","layer":3},{"info":"⊺⇮5035⊘=⊺⇮0","layer":3},{"info":"⊺⇮9018⪢⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮1544⇷⊺⇮3104=⊺⇮6208","layer":3},{"info":"⊺⇮3233∸=⊺⇮177","layer":3},{"info":"⊺⇮6208⋓⊺⇮177=⊺⇮0","layer":2},{"info":"⊺⇮0+⊺⇮0=⊺⇮0","layer":1},{"info":"⪝⪂⫅⊺⇮0=⊺⇮0","layer":0}]}
{"id":182,"expression_no_base_symbol":"(($1005$⋷$2919$)+⇶⊼(↔$6324$))⪘⫢((↯⪼$4859$)*$2395$⨰$3444$)≎⊠⪸((⨞⊢$3620$≧⫂∧$2080$)⨽(($1961$⊭↱$1149$)⩠))","expression":"((⊺⇮1005⋷⊺⇮2919)+⇶⊼(↔⊺⇮6324))⪘⫢((↯⪼⊺⇮4859)*⊺⇮2395⨰⊺⇮3444)≎⊠⪸((⨞⊢⊺⇮3620≧⫂∧⊺⇮2080)⨽((⊺⇮1961⊭↱⊺⇮1149)⩠))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1905,"operation_count":13,"complexity_ratio":146.53846153846155,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1005,"base":10},"right_expr":{"type":"numeric_atoms","value":2919,"base":10}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":6324,"base":10}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":4859,"base":10}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2395,"base":10},"right_expr":{"type":"numeric_atoms","value":3444,"base":10}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3620,"base":10},"right_expr":{"type":"numeric_atoms","value":2080,"base":10}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1961,"base":10},"right_expr":{"type":"numeric_atoms","value":1149,"base":10}}}}},"used_operators":["bJkvcejdHO","oacrs7FA3X","TpPTUOHfaN","23Mk6UjR3U","ruOEQAzv1W","9HNa5Wba9A","8jW3W4yZS5","eewbuw0ToL","8HhzD0ZcuI","xUOZtlo3hN","Ph9nP6C5qx","sJAwomhLZr","COABgblf1C"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮67","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1005","layer":4},{"info":"number node, value=2919","layer":4},{"info":"compute binary expreesion, left_input=1005, right_input=2919, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=4833","layer":3},{"info":"number node, value=6324","layer":4},{"info":"compute unary expreesion, input=6324, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-6051","layer":3},{"info":"compute binary expreesion, left_input=4833, right_input=-6051, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=4859","layer":4},{"info":"compute unary expreesion, input=4859, 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=2395","layer":4},{"info":"number node, value=3444","layer":4},{"info":"compute binary expreesion, left_input=2395, right_input=3444, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1039","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-1039, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=21819","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=21819, 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=3620","layer":4},{"info":"number node, value=2080","layer":4},{"info":"compute binary expreesion, left_input=3620, right_input=2080, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1607","layer":3},{"info":"compute unary expreesion, input=1607, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1781","layer":2},{"info":"number node, value=1961","layer":4},{"info":"number node, value=1149","layer":4},{"info":"compute binary expreesion, left_input=1961, right_input=1149, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-1619","layer":3},{"info":"compute unary expreesion, input=-1619, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=6685","layer":2},{"info":"compute binary expreesion, left_input=-1781, right_input=6685, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-9534624","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-9534624, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1005⋷⊺⇮2919)+⇶⊼(↔⊺⇮6324))⪘⫢((↯⪼⊺⇮4859)*⊺⇮2395⨰⊺⇮3444)≎⊠⪸((⨞⊢⊺⇮3620≧⫂∧⊺⇮2080)⨽((⊺⇮1961⊭↱⊺⇮1149)⩠))=⊺⇮67","reverse_text":"⊺⇮67=((⊺⇮1005⋷⊺⇮2919)+⇶⊼(↔⊺⇮6324))⪘⫢((↯⪼⊺⇮4859)*⊺⇮2395⨰⊺⇮3444)≎⊠⪸((⨞⊢⊺⇮3620≧⫂∧⊺⇮2080)⨽((⊺⇮1961⊭↱⊺⇮1149)⩠))","cot":[{"info":"⊺⇮1005⋷⊺⇮2919=⊺⇮4833","layer":3},{"info":"↔⊺⇮6324=⊺⇮-6051","layer":3},{"info":"⊺⇮4833+⇶⊼⊺⇮-6051=NaN","layer":2},{"info":"↯⪼⊺⇮4859=⊺⇮-21","layer":3},{"info":"⊺⇮2395⨰⊺⇮3444=⊺⇮-1039","layer":3},{"info":"⊺⇮-21*⊺⇮-1039=⊺⇮21819","layer":2},{"info":"NaN⪘⫢⊺⇮21819=NaN","layer":1},{"info":"⊺⇮3620≧⫂∧⊺⇮2080=⊺⇮1607","layer":3},{"info":"⨞⊢⊺⇮1607=⊺⇮-1781","layer":2},{"info":"⊺⇮1961⊭↱⊺⇮1149=⊺⇮-1619","layer":3},{"info":"⊺⇮-1619⩠=⊺⇮6685","layer":2},{"info":"⊺⇮-1781⨽⊺⇮6685=⊺⇮-9534624","layer":1},{"info":"NaN≎⊠⪸⊺⇮-9534624=⊺⇮67","layer":0}]}
{"id":183,"expression_no_base_symbol":"(≉(($6273$↛⩡⫤)⪒$1760$⩨$1258$))⩷∴(≤/(⪝⪂⫅$1160$)⋝⋈⪟($3314$≭$1707$))","expression":"(≉((⊺⇮6273↛⩡⫤)⪒⊺⇮1760⩨⊺⇮1258))⩷∴(≤/(⪝⪂⫅⊺⇮1160)⋝⋈⪟(⊺⇮3314≭⊺⇮1707))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":19123,"operation_count":9,"complexity_ratio":2124.777777777778,"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":6273,"base":10}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1760,"base":10},"right_expr":{"type":"numeric_atoms","value":1258,"base":10}}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1160,"base":10}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3314,"base":10},"right_expr":{"type":"numeric_atoms","value":1707,"base":10}}}}},"used_operators":["9FxExcQeMw","e1ybzncUwg","f6k1SAg4EE","FU0Cs4j7VP","2DlMacCsIx","eLAdDNolq6","2DDjHMKMc0","XTarYq4gQB","rxpJgHHUmx"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6273","layer":4},{"info":"compute unary expreesion, input=6273, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-943312","layer":3},{"info":"number node, value=1760","layer":4},{"info":"number node, value=1258","layer":4},{"info":"compute binary expreesion, left_input=1760, right_input=1258, 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=-943312, right_input=0, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=943312","layer":2},{"info":"compute unary expreesion, input=943312, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=943843","layer":1},{"info":"number node, value=1160","layer":4},{"info":"compute unary expreesion, input=1160, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-170520","layer":3},{"info":"number node, value=3314","layer":4},{"info":"number node, value=1707","layer":4},{"info":"compute binary expreesion, left_input=3314, right_input=1707, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=-170520, 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 = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=943843, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(≉((⊺⇮6273↛⩡⫤)⪒⊺⇮1760⩨⊺⇮1258))⩷∴(≤/(⪝⪂⫅⊺⇮1160)⋝⋈⪟(⊺⇮3314≭⊺⇮1707))=NaN","reverse_text":"NaN=(≉((⊺⇮6273↛⩡⫤)⪒⊺⇮1760⩨⊺⇮1258))⩷∴(≤/(⪝⪂⫅⊺⇮1160)⋝⋈⪟(⊺⇮3314≭⊺⇮1707))","cot":[{"info":"⊺⇮6273↛⩡⫤=⊺⇮-943312","layer":3},{"info":"⊺⇮1760⩨⊺⇮1258=⊺⇮0","layer":3},{"info":"⊺⇮-943312⪒⊺⇮0=⊺⇮943312","layer":2},{"info":"≉⊺⇮943312=⊺⇮943843","layer":1},{"info":"⪝⪂⫅⊺⇮1160=⊺⇮-170520","layer":3},{"info":"⊺⇮3314≭⊺⇮1707=NaN","layer":3},{"info":"⊺⇮-170520⋝⋈⪟NaN=NaN","layer":2},{"info":"≤/NaN=NaN","layer":1},{"info":"⊺⇮943843⩷∴NaN=NaN","layer":0}]}
{"id":184,"expression_no_base_symbol":"(⊄⩳↩($7730$↬$1236$⋳⪒($1866$⨳⩥⨓$2405$)))⋳⪒(⪲⇎($2986$-$1757$)⨓$6701$≹⇙⪍$1283$)","expression":"(⊄⩳↩(⊺⇮7730↬⊺⇮1236⋳⪒(⊺⇮1866⨳⩥⨓⊺⇮2405)))⋳⪒(⪲⇎(⊺⇮2986-⊺⇮1757)⨓⊺⇮6701≹⇙⪍⊺⇮1283)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":32,"operation_count":9,"complexity_ratio":3.5555555555555554,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":7730,"base":10},"right_expr":{"type":"numeric_atoms","value":1236,"base":10}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1866,"base":10},"right_expr":{"type":"numeric_atoms","value":2405,"base":10}}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2986,"base":10},"right_expr":{"type":"numeric_atoms","value":1757,"base":10}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":6701,"base":10},"right_expr":{"type":"numeric_atoms","value":1283,"base":10}}}}},"used_operators":["12rbrZMWeM","8w2t5hMYqp","B5M0gjZbta","nCS4ZIUYfx","XPYlsWDdGa","3ViojmjbAp","rysDP5nf3Z","AHs5Up7iyr"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=7730","layer":4},{"info":"number node, value=1236","layer":4},{"info":"compute binary expreesion, left_input=7730, 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=1866","layer":4},{"info":"number node, value=2405","layer":4},{"info":"compute binary expreesion, left_input=1866, right_input=2405, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=539","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=539, 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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":1},{"info":"number node, value=2986","layer":4},{"info":"number node, value=1757","layer":4},{"info":"compute binary expreesion, left_input=2986, right_input=1757, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1229","layer":3},{"info":"number node, value=6701","layer":4},{"info":"number node, value=1283","layer":4},{"info":"compute binary expreesion, left_input=6701, right_input=1283, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=1229, 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 = 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 = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊄⩳↩(⊺⇮7730↬⊺⇮1236⋳⪒(⊺⇮1866⨳⩥⨓⊺⇮2405)))⋳⪒(⪲⇎(⊺⇮2986-⊺⇮1757)⨓⊺⇮6701≹⇙⪍⊺⇮1283)=NaN","reverse_text":"NaN=(⊄⩳↩(⊺⇮7730↬⊺⇮1236⋳⪒(⊺⇮1866⨳⩥⨓⊺⇮2405)))⋳⪒(⪲⇎(⊺⇮2986-⊺⇮1757)⨓⊺⇮6701≹⇙⪍⊺⇮1283)","cot":[{"info":"⊺⇮7730↬⊺⇮1236=NaN","layer":3},{"info":"⊺⇮1866⨳⩥⨓⊺⇮2405=⊺⇮539","layer":3},{"info":"NaN⋳⪒⊺⇮539=NaN","layer":2},{"info":"⊄⩳↩NaN=NaN","layer":1},{"info":"⊺⇮2986-⊺⇮1757=⊺⇮1229","layer":3},{"info":"⊺⇮6701≹⇙⪍⊺⇮1283=NaN","layer":3},{"info":"⊺⇮1229⨓NaN=NaN","layer":2},{"info":"⪲⇎NaN=NaN","layer":1},{"info":"NaN⋳⪒NaN=NaN","layer":0}]}
{"id":185,"expression_no_base_symbol":"((⫛⫱⨽($2092$⪄$3081$))⫥∨⫟($6877$⩚⊴⇥$2198$≣⋋))⩷∴((⨑⩽⪐($5403$⫩⊇))⨵⪆($1163$⫩⊇)⋝⋈⪟($1241$⩠))","expression":"((⫛⫱⨽(⊺⇮2092⪄⊺⇮3081))⫥∨⫟(⊺⇮6877⩚⊴⇥⊺⇮2198≣⋋))⩷∴((⨑⩽⪐(⊺⇮5403⫩⊇))⨵⪆(⊺⇮1163⫩⊇)⋝⋈⪟(⊺⇮1241⩠))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2227,"operation_count":12,"complexity_ratio":185.58333333333334,"tree":{"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":10},"right_expr":{"type":"numeric_atoms","value":3081,"base":10}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":6877,"base":10},"right_expr":{"type":"numeric_atoms","value":2198,"base":10}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":5403,"base":10}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":1163,"base":10}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1241,"base":10}}}}},"used_operators":["9FxExcQeMw","KYD54nUTWz","DlLNRPXxWL","SUmda5xLS4","Tcnh7f0tEr","NTOWxs364D","2DQ55sFlQl","AF7qkfDlqP","BjRHVeLaeN","2DDjHMKMc0","sJAwomhLZr"],"dependent_operators":["rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","rGHVDoGpnC","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2092","layer":4},{"info":"number node, value=3081","layer":4},{"info":"compute binary expreesion, left_input=2092, right_input=3081, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-318029","layer":3},{"info":"compute unary expreesion, input=-318029, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"number node, value=6877","layer":4},{"info":"number node, value=2198","layer":4},{"info":"compute binary expreesion, left_input=6877, right_input=2198, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-9196","layer":3},{"info":"compute unary expreesion, input=-9196, 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=0, right_input=0, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=5403","layer":4},{"info":"compute unary expreesion, input=5403, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-5361","layer":3},{"info":"compute unary expreesion, input=-5361, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=11511","layer":2},{"info":"number node, value=1163","layer":4},{"info":"compute unary expreesion, input=1163, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1121","layer":3},{"info":"number node, value=1241","layer":4},{"info":"compute unary expreesion, input=1241, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-1121, right_input=0, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-1121","layer":2},{"info":"compute binary expreesion, left_input=11511, right_input=-1121, 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 = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⫛⫱⨽(⊺⇮2092⪄⊺⇮3081))⫥∨⫟(⊺⇮6877⩚⊴⇥⊺⇮2198≣⋋))⩷∴((⨑⩽⪐(⊺⇮5403⫩⊇))⨵⪆(⊺⇮1163⫩⊇)⋝⋈⪟(⊺⇮1241⩠))=NaN","reverse_text":"NaN=((⫛⫱⨽(⊺⇮2092⪄⊺⇮3081))⫥∨⫟(⊺⇮6877⩚⊴⇥⊺⇮2198≣⋋))⩷∴((⨑⩽⪐(⊺⇮5403⫩⊇))⨵⪆(⊺⇮1163⫩⊇)⋝⋈⪟(⊺⇮1241⩠))","cot":[{"info":"⊺⇮2092⪄⊺⇮3081=⊺⇮-318029","layer":3},{"info":"⫛⫱⨽⊺⇮-318029=⊺⇮0","layer":2},{"info":"⊺⇮6877⩚⊴⇥⊺⇮2198=⊺⇮-9196","layer":3},{"info":"⊺⇮-9196≣⋋=⊺⇮0","layer":2},{"info":"⊺⇮0⫥∨⫟⊺⇮0=NaN","layer":1},{"info":"⊺⇮5403⫩⊇=⊺⇮-5361","layer":3},{"info":"⨑⩽⪐⊺⇮-5361=⊺⇮11511","layer":2},{"info":"⊺⇮1163⫩⊇=⊺⇮-1121","layer":3},{"info":"⊺⇮1241⩠=⊺⇮0","layer":3},{"info":"⊺⇮-1121⋝⋈⪟⊺⇮0=⊺⇮-1121","layer":2},{"info":"⊺⇮11511⨵⪆⊺⇮-1121=⊺⇮160","layer":1},{"info":"NaN⩷∴⊺⇮160=NaN","layer":0}]}
{"id":186,"expression_no_base_symbol":"(⊥(($4754$⩠)⫡⨏$1489$⪢$1139$))⋷$2341$⨪↰⇹$5048$⫥∨⫟(⪲⇎$5487$)⊉≛↸$1429$⊴$4244$⨐⩸⫘($6139$⇼⇔∾$2220$)","expression":"(⊥((⊺⇮4754⩠)⫡⨏⊺⇮1489⪢⊺⇮1139))⋷⊺⇮2341⨪↰⇹⊺⇮5048⫥∨⫟(⪲⇎⊺⇮5487)⊉≛↸⊺⇮1429⊴⊺⇮4244⨐⩸⫘(⊺⇮6139⇼⇔∾⊺⇮2220)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":10242,"operation_count":12,"complexity_ratio":853.5,"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":4754,"base":10}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1489,"base":10},"right_expr":{"type":"numeric_atoms","value":1139,"base":10}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2341,"base":10},"right_expr":{"type":"numeric_atoms","value":5048,"base":10}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":5487,"base":10}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1429,"base":10},"right_expr":{"type":"numeric_atoms","value":4244,"base":10}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":6139,"base":10},"right_expr":{"type":"numeric_atoms","value":2220,"base":10}}}}},"used_operators":["23Mk6UjR3U","Q3PJZHRvZv","QMFrweE19q","sJAwomhLZr","dWAJyo7jo9","DZ8iAZOCBD","KYD54nUTWz","tmPS8pqC7x","XPYlsWDdGa","fu6greOZ01","Nsiff2A1zJ","tifHPKVTfV"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4754","layer":4},{"info":"compute unary expreesion, input=4754, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=1489","layer":4},{"info":"number node, value=1139","layer":4},{"info":"compute binary expreesion, left_input=1489, right_input=1139, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = 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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"number node, value=2341","layer":4},{"info":"number node, value=5048","layer":4},{"info":"compute binary expreesion, left_input=2341, right_input=5048, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2341","layer":3},{"info":"number node, value=5487","layer":4},{"info":"compute unary expreesion, input=5487, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=10974","layer":3},{"info":"compute binary expreesion, left_input=2341, right_input=10974, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1429","layer":4},{"info":"number node, value=4244","layer":4},{"info":"compute binary expreesion, left_input=1429, right_input=4244, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=6139","layer":4},{"info":"number node, value=2220","layer":4},{"info":"compute binary expreesion, left_input=6139, right_input=2220, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-3919","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3919, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = 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 = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊥((⊺⇮4754⩠)⫡⨏⊺⇮1489⪢⊺⇮1139))⋷⊺⇮2341⨪↰⇹⊺⇮5048⫥∨⫟(⪲⇎⊺⇮5487)⊉≛↸⊺⇮1429⊴⊺⇮4244⨐⩸⫘(⊺⇮6139⇼⇔∾⊺⇮2220)=NaN","reverse_text":"NaN=(⊥((⊺⇮4754⩠)⫡⨏⊺⇮1489⪢⊺⇮1139))⋷⊺⇮2341⨪↰⇹⊺⇮5048⫥∨⫟(⪲⇎⊺⇮5487)⊉≛↸⊺⇮1429⊴⊺⇮4244⨐⩸⫘(⊺⇮6139⇼⇔∾⊺⇮2220)","cot":[{"info":"⊺⇮4754⩠=⊺⇮0","layer":3},{"info":"⊺⇮1489⪢⊺⇮1139=NaN","layer":3},{"info":"⊺⇮0⫡⨏NaN=NaN","layer":2},{"info":"⊥NaN=NaN","layer":1},{"info":"⊺⇮2341⨪↰⇹⊺⇮5048=⊺⇮2341","layer":3},{"info":"⪲⇎⊺⇮5487=⊺⇮10974","layer":3},{"info":"⊺⇮2341⫥∨⫟⊺⇮10974=NaN","layer":2},{"info":"⊺⇮1429⊴⊺⇮4244=NaN","layer":3},{"info":"⊺⇮6139⇼⇔∾⊺⇮2220=⊺⇮-3919","layer":3},{"info":"NaN⨐⩸⫘⊺⇮-3919=NaN","layer":2},{"info":"NaN⊉≛↸NaN=NaN","layer":1},{"info":"NaN⋷NaN=NaN","layer":0}]}
{"id":187,"expression_no_base_symbol":"($3487$⨽$2513$/$1332$⫥∨⫟$1035$)⨟⋌⩍(≤/($1839$⪐))⊠≄⫣","expression":"(⊺⇮3487⨽⊺⇮2513/⊺⇮1332⫥∨⫟⊺⇮1035)⨟⋌⩍(≤/(⊺⇮1839⪐))⊠≄⫣","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3658,"operation_count":7,"complexity_ratio":522.5714285714286,"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":3487,"base":10},"right_expr":{"type":"numeric_atoms","value":2513,"base":10}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1332,"base":10},"right_expr":{"type":"numeric_atoms","value":1035,"base":10}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1839,"base":10}}}}},"used_operators":["DIvbN7qnHd","rGHVDoGpnC","XhwjNDsVaA","8HhzD0ZcuI","KYD54nUTWz","eLAdDNolq6","eH2TOUuTDT"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3487","layer":4},{"info":"number node, value=2513","layer":4},{"info":"compute binary expreesion, left_input=3487, right_input=2513, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-36483732","layer":3},{"info":"number node, value=1332","layer":4},{"info":"number node, value=1035","layer":4},{"info":"compute binary expreesion, left_input=1332, right_input=1035, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-36483732, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1839","layer":4},{"info":"compute unary expreesion, input=1839, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=3678","layer":3},{"info":"compute unary expreesion, input=3678, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-3194","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3194, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮3487⨽⊺⇮2513/⊺⇮1332⫥∨⫟⊺⇮1035)⨟⋌⩍(≤/(⊺⇮1839⪐))⊠≄⫣=NaN","reverse_text":"NaN=(⊺⇮3487⨽⊺⇮2513/⊺⇮1332⫥∨⫟⊺⇮1035)⨟⋌⩍(≤/(⊺⇮1839⪐))⊠≄⫣","cot":[{"info":"⊺⇮3487⨽⊺⇮2513=⊺⇮-36483732","layer":3},{"info":"⊺⇮1332⫥∨⫟⊺⇮1035=NaN","layer":3},{"info":"⊺⇮-36483732/NaN=NaN","layer":2},{"info":"⊺⇮1839⪐=⊺⇮3678","layer":3},{"info":"≤/⊺⇮3678=⊺⇮-3194","layer":2},{"info":"NaN⨟⋌⩍⊺⇮-3194=NaN","layer":1},{"info":"NaN⊠≄⫣=NaN","layer":0}]}
{"id":188,"expression_no_base_symbol":"((↽≂$5632$∑⇟⊟$5722$)⋷($2568$-$1876$)⨟⋌⩍($5263$⫸⊐$5688$))⫌⩹⨱","expression":"((↽≂⊺⇮5632∑⇟⊟⊺⇮5722)⋷(⊺⇮2568-⊺⇮1876)⨟⋌⩍(⊺⇮5263⫸⊐⊺⇮5688))⫌⩹⨱","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":39,"operation_count":7,"complexity_ratio":5.571428571428571,"tree":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":5632,"base":10},"right_expr":{"type":"numeric_atoms","value":5722,"base":10}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2568,"base":10},"right_expr":{"type":"numeric_atoms","value":1876,"base":10}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":5263,"base":10},"right_expr":{"type":"numeric_atoms","value":5688,"base":10}}}}},"used_operators":["EBcxylXtPf","23Mk6UjR3U","u6S6b8DprG","U7g4x0WXJJ","rGHVDoGpnC","rysDP5nf3Z","mqXw5SEYmG"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","Tcnh7f0tEr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5632","layer":4},{"info":"number node, value=5722","layer":4},{"info":"compute binary expreesion, left_input=5632, right_input=5722, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=nan","layer":2},{"info":"number node, value=2568","layer":4},{"info":"number node, value=1876","layer":4},{"info":"compute binary expreesion, left_input=2568, right_input=1876, op_id = rysDP5nf3Z binary_op_definition= 'None', output=692","layer":3},{"info":"number node, value=5263","layer":4},{"info":"number node, value=5688","layer":4},{"info":"compute binary expreesion, left_input=5263, right_input=5688, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=22627","layer":3},{"info":"compute binary expreesion, left_input=692, right_input=22627, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = 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 = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((↽≂⊺⇮5632∑⇟⊟⊺⇮5722)⋷(⊺⇮2568-⊺⇮1876)⨟⋌⩍(⊺⇮5263⫸⊐⊺⇮5688))⫌⩹⨱=NaN","reverse_text":"NaN=((↽≂⊺⇮5632∑⇟⊟⊺⇮5722)⋷(⊺⇮2568-⊺⇮1876)⨟⋌⩍(⊺⇮5263⫸⊐⊺⇮5688))⫌⩹⨱","cot":[{"info":"⊺⇮5632∑⇟⊟⊺⇮5722=NaN","layer":3},{"info":"↽≂NaN=NaN","layer":2},{"info":"⊺⇮2568-⊺⇮1876=⊺⇮692","layer":3},{"info":"⊺⇮5263⫸⊐⊺⇮5688=⊺⇮22627","layer":3},{"info":"⊺⇮692⨟⋌⩍⊺⇮22627=NaN","layer":2},{"info":"NaN⋷NaN=NaN","layer":1},{"info":"NaN⫌⩹⨱=NaN","layer":0}]}
{"id":189,"expression_no_base_symbol":"(($6124$⩠)⊪)≹⇙⪍(($1399$⋷$1707$)⊘)⨳⩥⨓((⨵≀≌$4123$⊴$2711$)∧)","expression":"((⊺⇮6124⩠)⊪)≹⇙⪍((⊺⇮1399⋷⊺⇮1707)⊘)⨳⩥⨓((⨵≀≌⊺⇮4123⊴⊺⇮2711)∧)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3639,"operation_count":9,"complexity_ratio":404.3333333333333,"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":6124,"base":10}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1399,"base":10},"right_expr":{"type":"numeric_atoms","value":1707,"base":10}}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4123,"base":10},"right_expr":{"type":"numeric_atoms","value":2711,"base":10}}}}},"used_operators":["nCS4ZIUYfx","AHs5Up7iyr","zVYPLywUTj","sJAwomhLZr","gu96TGCTMs","23Mk6UjR3U","z63VuFQld9","srAu1WTS94","Nsiff2A1zJ"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=6124","layer":4},{"info":"compute unary expreesion, input=6124, 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 = 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=1399","layer":4},{"info":"number node, value=1707","layer":4},{"info":"compute binary expreesion, left_input=1399, right_input=1707, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2015","layer":3},{"info":"compute unary expreesion, input=2015, 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=0, 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=0","layer":1},{"info":"number node, value=4123","layer":4},{"info":"number node, value=2711","layer":4},{"info":"compute binary expreesion, left_input=4123, right_input=2711, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮6124⩠)⊪)≹⇙⪍((⊺⇮1399⋷⊺⇮1707)⊘)⨳⩥⨓((⨵≀≌⊺⇮4123⊴⊺⇮2711)∧)=NaN","reverse_text":"NaN=((⊺⇮6124⩠)⊪)≹⇙⪍((⊺⇮1399⋷⊺⇮1707)⊘)⨳⩥⨓((⨵≀≌⊺⇮4123⊴⊺⇮2711)∧)","cot":[{"info":"⊺⇮6124⩠=⊺⇮0","layer":3},{"info":"⊺⇮0⊪=⊺⇮0","layer":2},{"info":"⊺⇮1399⋷⊺⇮1707=⊺⇮2015","layer":3},{"info":"⊺⇮2015⊘=⊺⇮0","layer":2},{"info":"⊺⇮0≹⇙⪍⊺⇮0=⊺⇮0","layer":1},{"info":"⊺⇮4123⊴⊺⇮2711=NaN","layer":3},{"info":"⨵≀≌NaN=NaN","layer":2},{"info":"NaN∧=NaN","layer":1},{"info":"⊺⇮0⨳⩥⨓NaN=NaN","layer":0}]}
{"id":190,"expression_no_base_symbol":"⋗⩬⋾((⫛⫱⨽$7095$)↺(≤/$4504$)⨵⪆(↔$7440$)*$1435$⪄$1249$)","expression":"⋗⩬⋾((⫛⫱⨽⊺⇮7095)↺(≤/⊺⇮4504)⨵⪆(↔⊺⇮7440)*⊺⇮1435⪄⊺⇮1249)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":8698,"operation_count":8,"complexity_ratio":1087.25,"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":7095,"base":10}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":4504,"base":10}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":7440,"base":10}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1435,"base":10},"right_expr":{"type":"numeric_atoms","value":1249,"base":10}}}}},"used_operators":["DpFCA1CohY","2DQ55sFlQl","7j4O788W3g","DlLNRPXxWL","eLAdDNolq6","9HNa5Wba9A","ruOEQAzv1W","SUmda5xLS4"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"⊺⇮-480","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7095","layer":4},{"info":"compute unary expreesion, input=7095, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=4504","layer":4},{"info":"compute unary expreesion, input=4504, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-4020","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-4020, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-4020","layer":2},{"info":"number node, value=7440","layer":4},{"info":"compute unary expreesion, input=7440, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-7167","layer":3},{"info":"number node, value=1435","layer":4},{"info":"number node, value=1249","layer":4},{"info":"compute binary expreesion, left_input=1435, right_input=1249, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-213465","layer":3},{"info":"compute binary expreesion, left_input=-7167, right_input=-213465, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=1529903655","layer":2},{"info":"compute binary expreesion, left_input=-4020, right_input=1529903655, 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 = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-480","layer":0}],"base":10,"result_base":10,"text":"⋗⩬⋾((⫛⫱⨽⊺⇮7095)↺(≤/⊺⇮4504)⨵⪆(↔⊺⇮7440)*⊺⇮1435⪄⊺⇮1249)=⊺⇮-480","reverse_text":"⊺⇮-480=⋗⩬⋾((⫛⫱⨽⊺⇮7095)↺(≤/⊺⇮4504)⨵⪆(↔⊺⇮7440)*⊺⇮1435⪄⊺⇮1249)","cot":[{"info":"⫛⫱⨽⊺⇮7095=⊺⇮0","layer":3},{"info":"≤/⊺⇮4504=⊺⇮-4020","layer":3},{"info":"⊺⇮0↺⊺⇮-4020=⊺⇮-4020","layer":2},{"info":"↔⊺⇮7440=⊺⇮-7167","layer":3},{"info":"⊺⇮1435⪄⊺⇮1249=⊺⇮-213465","layer":3},{"info":"⊺⇮-7167*⊺⇮-213465=⊺⇮1529903655","layer":2},{"info":"⊺⇮-4020⨵⪆⊺⇮1529903655=⊺⇮160","layer":1},{"info":"⋗⩬⋾⊺⇮160=⊺⇮-480","layer":0}]}
{"id":191,"expression_no_base_symbol":"(-$6363$⩷∴$3547$)≧⫂∧(⨞⊢$6391$)∼($1130$⨪↰⇹$1027$)⇋≉","expression":"(-⊺⇮6363⩷∴⊺⇮3547)≧⫂∧(⨞⊢⊺⇮6391)∼(⊺⇮1130⨪↰⇹⊺⇮1027)⇋≉","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1273,"operation_count":7,"complexity_ratio":181.85714285714286,"tree":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":6363,"base":10},"right_expr":{"type":"numeric_atoms","value":3547,"base":10}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":6391,"base":10}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1130,"base":10},"right_expr":{"type":"numeric_atoms","value":1027,"base":10}}}}},"used_operators":["XIabStNQrY","Ph9nP6C5qx","t8gj7n24qd","9FxExcQeMw","DyGG3AbaNP","xUOZtlo3hN","tmPS8pqC7x"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6363","layer":4},{"info":"number node, value=3547","layer":4},{"info":"compute binary expreesion, left_input=6363, right_input=3547, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=5600","layer":3},{"info":"compute unary expreesion, input=5600, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-5600","layer":2},{"info":"number node, value=6391","layer":4},{"info":"compute unary expreesion, input=6391, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-6565","layer":3},{"info":"number node, value=1130","layer":4},{"info":"number node, value=1027","layer":4},{"info":"compute binary expreesion, left_input=1130, right_input=1027, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1130","layer":3},{"info":"compute binary expreesion, left_input=-6565, right_input=1130, 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=-5600, 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 = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(-⊺⇮6363⩷∴⊺⇮3547)≧⫂∧(⨞⊢⊺⇮6391)∼(⊺⇮1130⨪↰⇹⊺⇮1027)⇋≉=NaN","reverse_text":"NaN=(-⊺⇮6363⩷∴⊺⇮3547)≧⫂∧(⨞⊢⊺⇮6391)∼(⊺⇮1130⨪↰⇹⊺⇮1027)⇋≉","cot":[{"info":"⊺⇮6363⩷∴⊺⇮3547=⊺⇮5600","layer":3},{"info":"-⊺⇮5600=⊺⇮-5600","layer":2},{"info":"⨞⊢⊺⇮6391=⊺⇮-6565","layer":3},{"info":"⊺⇮1130⨪↰⇹⊺⇮1027=⊺⇮1130","layer":3},{"info":"⊺⇮-6565∼⊺⇮1130=NaN","layer":2},{"info":"⊺⇮-5600≧⫂∧NaN=NaN","layer":1},{"info":"NaN⇋≉=NaN","layer":0}]}
{"id":192,"expression_no_base_symbol":"($3575$∼$4178$⊉≛↸$3220$≎⊠⪸$2249$)+⇶⊼(↔($5114$⪛$5639$))⩨(((↯⪼$7594$)∲⫓($3502$↪⪝))⊘)","expression":"(⊺⇮3575∼⊺⇮4178⊉≛↸⊺⇮3220≎⊠⪸⊺⇮2249)+⇶⊼(↔(⊺⇮5114⪛⊺⇮5639))⩨(((↯⪼⊺⇮7594)∲⫓(⊺⇮3502↪⪝))⊘)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1115,"operation_count":11,"complexity_ratio":101.36363636363636,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3575,"base":10},"right_expr":{"type":"numeric_atoms","value":4178,"base":10}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3220,"base":10},"right_expr":{"type":"numeric_atoms","value":2249,"base":10}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":5114,"base":10},"right_expr":{"type":"numeric_atoms","value":5639,"base":10}}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":7594,"base":10}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":3502,"base":10}}}}},"used_operators":["2DlMacCsIx","TpPTUOHfaN","DZ8iAZOCBD","DyGG3AbaNP","bJkvcejdHO","ruOEQAzv1W","uFcxV4UQCh","gu96TGCTMs","i8ToyICDmI","8jW3W4yZS5","l07mrZUIn9"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","9HNa5Wba9A","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3575","layer":4},{"info":"number node, value=4178","layer":4},{"info":"compute binary expreesion, left_input=3575, right_input=4178, 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=3220","layer":4},{"info":"number node, value=2249","layer":4},{"info":"compute binary expreesion, left_input=3220, right_input=2249, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=833507","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=833507, 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=5114","layer":4},{"info":"number node, value=5639","layer":4},{"info":"compute binary expreesion, left_input=5114, right_input=5639, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=5114","layer":3},{"info":"compute unary expreesion, input=5114, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-4841","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-4841, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=7594","layer":4},{"info":"compute unary expreesion, input=7594, 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=3502","layer":4},{"info":"compute unary expreesion, input=3502, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=214259364","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=214259364, 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 = 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 = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮3575∼⊺⇮4178⊉≛↸⊺⇮3220≎⊠⪸⊺⇮2249)+⇶⊼(↔(⊺⇮5114⪛⊺⇮5639))⩨(((↯⪼⊺⇮7594)∲⫓(⊺⇮3502↪⪝))⊘)=NaN","reverse_text":"NaN=(⊺⇮3575∼⊺⇮4178⊉≛↸⊺⇮3220≎⊠⪸⊺⇮2249)+⇶⊼(↔(⊺⇮5114⪛⊺⇮5639))⩨(((↯⪼⊺⇮7594)∲⫓(⊺⇮3502↪⪝))⊘)","cot":[{"info":"⊺⇮3575∼⊺⇮4178=NaN","layer":3},{"info":"⊺⇮3220≎⊠⪸⊺⇮2249=⊺⇮833507","layer":3},{"info":"NaN⊉≛↸⊺⇮833507=NaN","layer":2},{"info":"⊺⇮5114⪛⊺⇮5639=⊺⇮5114","layer":3},{"info":"↔⊺⇮5114=⊺⇮-4841","layer":2},{"info":"NaN+⇶⊼⊺⇮-4841=NaN","layer":1},{"info":"↯⪼⊺⇮7594=⊺⇮-21","layer":3},{"info":"⊺⇮3502↪⪝=⊺⇮214259364","layer":3},{"info":"⊺⇮-21∲⫓⊺⇮214259364=⊺⇮0","layer":2},{"info":"⊺⇮0⊘=⊺⇮0","layer":1},{"info":"NaN⩨⊺⇮0=NaN","layer":0}]}
{"id":193,"expression_no_base_symbol":"($5503$⩷∴$1511$⩨$1461$⩚⊴⇥$1448$⪒($2054$⋳⪒$3633$+($1448$≫≃)))⋫","expression":"(⊺⇮5503⩷∴⊺⇮1511⩨⊺⇮1461⩚⊴⇥⊺⇮1448⪒(⊺⇮2054⋳⪒⊺⇮3633+(⊺⇮1448≫≃)))⋫","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4519,"operation_count":8,"complexity_ratio":564.875,"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":5503,"base":10},"right_expr":{"type":"numeric_atoms","value":1511,"base":10}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1461,"base":10},"right_expr":{"type":"numeric_atoms","value":1448,"base":10}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2054,"base":10},"right_expr":{"type":"numeric_atoms","value":3633,"base":10}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1448,"base":10}}}}},"used_operators":["JL8yIekQnl","f6k1SAg4EE","2DlMacCsIx","9FxExcQeMw","NTOWxs364D","W4YGzv6Whe","12rbrZMWeM","X99M06cbEe"],"dependent_operators":["tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"⊺⇮-4488","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5503","layer":4},{"info":"number node, value=1511","layer":4},{"info":"compute binary expreesion, left_input=5503, right_input=1511, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=7952","layer":3},{"info":"number node, value=1461","layer":4},{"info":"number node, value=1448","layer":4},{"info":"compute binary expreesion, left_input=1461, right_input=1448, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3030","layer":3},{"info":"compute binary expreesion, left_input=7952, right_input=-3030, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=3","layer":2},{"info":"number node, value=2054","layer":4},{"info":"number node, value=3633","layer":4},{"info":"compute binary expreesion, left_input=2054, right_input=3633, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=188","layer":3},{"info":"number node, value=1448","layer":4},{"info":"compute unary expreesion, input=1448, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=4297","layer":3},{"info":"compute binary expreesion, left_input=188, right_input=4297, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4485","layer":2},{"info":"compute binary expreesion, left_input=3, right_input=4485, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4488","layer":1},{"info":"compute unary expreesion, input=-4488, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=-4488","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮5503⩷∴⊺⇮1511⩨⊺⇮1461⩚⊴⇥⊺⇮1448⪒(⊺⇮2054⋳⪒⊺⇮3633+(⊺⇮1448≫≃)))⋫=⊺⇮-4488","reverse_text":"⊺⇮-4488=(⊺⇮5503⩷∴⊺⇮1511⩨⊺⇮1461⩚⊴⇥⊺⇮1448⪒(⊺⇮2054⋳⪒⊺⇮3633+(⊺⇮1448≫≃)))⋫","cot":[{"info":"⊺⇮5503⩷∴⊺⇮1511=⊺⇮7952","layer":3},{"info":"⊺⇮1461⩚⊴⇥⊺⇮1448=⊺⇮-3030","layer":3},{"info":"⊺⇮7952⩨⊺⇮-3030=⊺⇮3","layer":2},{"info":"⊺⇮2054⋳⪒⊺⇮3633=⊺⇮188","layer":3},{"info":"⊺⇮1448≫≃=⊺⇮4297","layer":3},{"info":"⊺⇮188+⊺⇮4297=⊺⇮4485","layer":2},{"info":"⊺⇮3⪒⊺⇮4485=⊺⇮-4488","layer":1},{"info":"⊺⇮-4488⋫=⊺⇮-4488","layer":0}]}
{"id":194,"expression_no_base_symbol":"(($2661$⨎$1046$∲⫓$4193$⋳⪒$4119$)⋓(⊥($8141$≦≮≮)))↬((≤/$5360$)⨟⋌⩍($2002$⩷∴$2084$)≧⫂∧($6535$*$3567$⋷$2852$⩚⊴⇥$1024$))","expression":"((⊺⇮2661⨎⊺⇮1046∲⫓⊺⇮4193⋳⪒⊺⇮4119)⋓(⊥(⊺⇮8141≦≮≮)))↬((≤/⊺⇮5360)⨟⋌⩍(⊺⇮2002⩷∴⊺⇮2084)≧⫂∧(⊺⇮6535*⊺⇮3567⋷⊺⇮2852⩚⊴⇥⊺⇮1024))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4904,"operation_count":14,"complexity_ratio":350.2857142857143,"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":2661,"base":10},"right_expr":{"type":"numeric_atoms","value":1046,"base":10}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":4193,"base":10},"right_expr":{"type":"numeric_atoms","value":4119,"base":10}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":8141,"base":10}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":5360,"base":10}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2002,"base":10},"right_expr":{"type":"numeric_atoms","value":2084,"base":10}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":6535,"base":10},"right_expr":{"type":"numeric_atoms","value":3567,"base":10}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2852,"base":10},"right_expr":{"type":"numeric_atoms","value":1024,"base":10}}}}},"used_operators":["B5M0gjZbta","T2fj7uvVaJ","i8ToyICDmI","rJVOvQCfKK","12rbrZMWeM","Q3PJZHRvZv","D4vGDi5EA2","Ph9nP6C5qx","rGHVDoGpnC","eLAdDNolq6","9FxExcQeMw","23Mk6UjR3U","9HNa5Wba9A","NTOWxs364D"],"dependent_operators":["rGHVDoGpnC","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2661","layer":4},{"info":"number node, value=1046","layer":4},{"info":"compute binary expreesion, left_input=2661, right_input=1046, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1046","layer":3},{"info":"number node, value=4193","layer":4},{"info":"number node, value=4119","layer":4},{"info":"compute binary expreesion, left_input=4193, right_input=4119, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3980","layer":3},{"info":"compute binary expreesion, left_input=1046, right_input=3980, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=8141","layer":4},{"info":"compute unary expreesion, input=8141, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-24423","layer":3},{"info":"compute unary expreesion, input=-24423, 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 = T2fj7uvVaJ 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=5360","layer":4},{"info":"compute unary expreesion, input=5360, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-4876","layer":3},{"info":"number node, value=2002","layer":4},{"info":"number node, value=2084","layer":4},{"info":"compute binary expreesion, left_input=2002, right_input=2084, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-196","layer":3},{"info":"compute binary expreesion, left_input=-4876, right_input=-196, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=6535","layer":4},{"info":"number node, value=3567","layer":4},{"info":"compute binary expreesion, left_input=6535, right_input=3567, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=23310345","layer":3},{"info":"number node, value=2852","layer":4},{"info":"number node, value=1024","layer":4},{"info":"compute binary expreesion, left_input=2852, right_input=1024, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3997","layer":3},{"info":"compute binary expreesion, left_input=23310345, right_input=-3997, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-23318339","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-23318339, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=23318339","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=23318339, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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":10,"result_base":10,"text":"((⊺⇮2661⨎⊺⇮1046∲⫓⊺⇮4193⋳⪒⊺⇮4119)⋓(⊥(⊺⇮8141≦≮≮)))↬((≤/⊺⇮5360)⨟⋌⩍(⊺⇮2002⩷∴⊺⇮2084)≧⫂∧(⊺⇮6535*⊺⇮3567⋷⊺⇮2852⩚⊴⇥⊺⇮1024))=NaN","reverse_text":"NaN=((⊺⇮2661⨎⊺⇮1046∲⫓⊺⇮4193⋳⪒⊺⇮4119)⋓(⊥(⊺⇮8141≦≮≮)))↬((≤/⊺⇮5360)⨟⋌⩍(⊺⇮2002⩷∴⊺⇮2084)≧⫂∧(⊺⇮6535*⊺⇮3567⋷⊺⇮2852⩚⊴⇥⊺⇮1024))","cot":[{"info":"⊺⇮2661⨎⊺⇮1046=⊺⇮1046","layer":3},{"info":"⊺⇮4193⋳⪒⊺⇮4119=⊺⇮3980","layer":3},{"info":"⊺⇮1046∲⫓⊺⇮3980=⊺⇮0","layer":2},{"info":"⊺⇮8141≦≮≮=⊺⇮-24423","layer":3},{"info":"⊥⊺⇮-24423=NaN","layer":2},{"info":"⊺⇮0⋓NaN=NaN","layer":1},{"info":"≤/⊺⇮5360=⊺⇮-4876","layer":3},{"info":"⊺⇮2002⩷∴⊺⇮2084=⊺⇮-196","layer":3},{"info":"⊺⇮-4876⨟⋌⩍⊺⇮-196=⊺⇮0","layer":2},{"info":"⊺⇮6535*⊺⇮3567=⊺⇮23310345","layer":3},{"info":"⊺⇮2852⩚⊴⇥⊺⇮1024=⊺⇮-3997","layer":3},{"info":"⊺⇮23310345⋷⊺⇮-3997=⊺⇮-23318339","layer":2},{"info":"⊺⇮0≧⫂∧⊺⇮-23318339=⊺⇮23318339","layer":1},{"info":"NaN↬⊺⇮23318339=NaN","layer":0}]}
{"id":195,"expression_no_base_symbol":"≦∁(≦∁(↥($5426$⪠⩆⊳)))","expression":"≦∁(≦∁(↥(⊺⇮5426⪠⩆⊳)))","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":61,"operation_count":4,"complexity_ratio":15.25,"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":5426,"base":10}}}}},"used_operators":["9ICcGScMcE","A8NUZmVepG","JLbD19bQDL"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮67","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5426","layer":4},{"info":"compute unary expreesion, input=5426, 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 = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-320","layer":1},{"info":"compute unary expreesion, input=-320, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=67","layer":0}],"base":10,"result_base":10,"text":"≦∁(≦∁(↥(⊺⇮5426⪠⩆⊳)))=⊺⇮67","reverse_text":"⊺⇮67=≦∁(≦∁(↥(⊺⇮5426⪠⩆⊳)))","cot":[{"info":"⊺⇮5426⪠⩆⊳=⊺⇮0","layer":3},{"info":"↥⊺⇮0=⊺⇮0","layer":2},{"info":"≦∁⊺⇮0=⊺⇮-320","layer":1},{"info":"≦∁⊺⇮-320=⊺⇮67","layer":0}]}
{"id":196,"expression_no_base_symbol":"(↔((⫓⪴$3336$)↬($1188$*$1818$)))⪨≂((⩦⩻⨪$4244$)/$1341$≎⊠⪸$3341$)⊭↱($8112$⫸⊐$1208$)+⇶⊼($1402$∲⫓$1553$)","expression":"(↔((⫓⪴⊺⇮3336)↬(⊺⇮1188*⊺⇮1818)))⪨≂((⩦⩻⨪⊺⇮4244)/⊺⇮1341≎⊠⪸⊺⇮3341)⊭↱(⊺⇮8112⫸⊐⊺⇮1208)+⇶⊼(⊺⇮1402∲⫓⊺⇮1553)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4859,"operation_count":12,"complexity_ratio":404.9166666666667,"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":3336,"base":10}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1188,"base":10},"right_expr":{"type":"numeric_atoms","value":1818,"base":10}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":4244,"base":10}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1341,"base":10},"right_expr":{"type":"numeric_atoms","value":3341,"base":10}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":8112,"base":10},"right_expr":{"type":"numeric_atoms","value":1208,"base":10}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1402,"base":10},"right_expr":{"type":"numeric_atoms","value":1553,"base":10}}}}},"used_operators":["sdazOOVcIp","ruOEQAzv1W","B5M0gjZbta","eLxqMNBOBk","9HNa5Wba9A","COABgblf1C","XhwjNDsVaA","2td37pGCOC","bJkvcejdHO","TpPTUOHfaN","mqXw5SEYmG","i8ToyICDmI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rGHVDoGpnC","9HNa5Wba9A","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","AHs5Up7iyr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮-176","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3336","layer":4},{"info":"compute unary expreesion, input=3336, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=11128896","layer":3},{"info":"number node, value=1188","layer":4},{"info":"number node, value=1818","layer":4},{"info":"compute binary expreesion, left_input=1188, right_input=1818, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2159784","layer":3},{"info":"compute binary expreesion, left_input=11128896, right_input=2159784, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":1},{"info":"number node, value=4244","layer":4},{"info":"compute unary expreesion, input=4244, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=4244","layer":3},{"info":"number node, value=1341","layer":4},{"info":"number node, value=3341","layer":4},{"info":"compute binary expreesion, left_input=1341, right_input=3341, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=346846","layer":3},{"info":"compute binary expreesion, left_input=4244, right_input=346846, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=8112","layer":4},{"info":"number node, value=1208","layer":4},{"info":"compute binary expreesion, left_input=8112, right_input=1208, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4707","layer":3},{"info":"number node, value=1402","layer":4},{"info":"number node, value=1553","layer":4},{"info":"compute binary expreesion, left_input=1402, right_input=1553, 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=4707, right_input=0, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=5","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=5, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-176","layer":0}],"base":10,"result_base":10,"text":"(↔((⫓⪴⊺⇮3336)↬(⊺⇮1188*⊺⇮1818)))⪨≂((⩦⩻⨪⊺⇮4244)/⊺⇮1341≎⊠⪸⊺⇮3341)⊭↱(⊺⇮8112⫸⊐⊺⇮1208)+⇶⊼(⊺⇮1402∲⫓⊺⇮1553)=⊺⇮-176","reverse_text":"⊺⇮-176=(↔((⫓⪴⊺⇮3336)↬(⊺⇮1188*⊺⇮1818)))⪨≂((⩦⩻⨪⊺⇮4244)/⊺⇮1341≎⊠⪸⊺⇮3341)⊭↱(⊺⇮8112⫸⊐⊺⇮1208)+⇶⊼(⊺⇮1402∲⫓⊺⇮1553)","cot":[{"info":"⫓⪴⊺⇮3336=⊺⇮11128896","layer":3},{"info":"⊺⇮1188*⊺⇮1818=⊺⇮2159784","layer":3},{"info":"⊺⇮11128896↬⊺⇮2159784=NaN","layer":2},{"info":"↔NaN=⊺⇮-134","layer":1},{"info":"⩦⩻⨪⊺⇮4244=⊺⇮4244","layer":3},{"info":"⊺⇮1341≎⊠⪸⊺⇮3341=⊺⇮346846","layer":3},{"info":"⊺⇮4244/⊺⇮346846=⊺⇮0","layer":2},{"info":"⊺⇮8112⫸⊐⊺⇮1208=⊺⇮4707","layer":3},{"info":"⊺⇮1402∲⫓⊺⇮1553=⊺⇮0","layer":3},{"info":"⊺⇮4707+⇶⊼⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮0⊭↱⊺⇮0=⊺⇮5","layer":1},{"info":"⊺⇮-134⪨≂⊺⇮5=⊺⇮-176","layer":0}]}
{"id":197,"expression_no_base_symbol":"((($2605$↙$1693$)≧⫂∧($1306$⋥≓≎$2425$))∀⇚≩($1555$⨟⋌⩍$5080$⋝⋈⪟$1800$⊴$4275$))⨟⋌⩍(($2048$⋷$2639$)∀⇚≩$2975$⪛$1211$)⪢(⩦⩻⨪$3210$⫥∨⫟$2384$)","expression":"(((⊺⇮2605↙⊺⇮1693)≧⫂∧(⊺⇮1306⋥≓≎⊺⇮2425))∀⇚≩(⊺⇮1555⨟⋌⩍⊺⇮5080⋝⋈⪟⊺⇮1800⊴⊺⇮4275))⨟⋌⩍((⊺⇮2048⋷⊺⇮2639)∀⇚≩⊺⇮2975⪛⊺⇮1211)⪢(⩦⩻⨪⊺⇮3210⫥∨⫟⊺⇮2384)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":50491,"operation_count":14,"complexity_ratio":3606.5,"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":2605,"base":10},"right_expr":{"type":"numeric_atoms","value":1693,"base":10}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1306,"base":10},"right_expr":{"type":"numeric_atoms","value":2425,"base":10}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1555,"base":10},"right_expr":{"type":"numeric_atoms","value":5080,"base":10}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1800,"base":10},"right_expr":{"type":"numeric_atoms","value":4275,"base":10}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2048,"base":10},"right_expr":{"type":"numeric_atoms","value":2639,"base":10}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2975,"base":10},"right_expr":{"type":"numeric_atoms","value":1211,"base":10}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3210,"base":10},"right_expr":{"type":"numeric_atoms","value":2384,"base":10}}}}},"used_operators":["rGHVDoGpnC","LRNGc0VcxI","Ph9nP6C5qx","yyfyN0ffXY","Qy55tPpLXF","2DDjHMKMc0","Nsiff2A1zJ","dWAJyo7jo9","23Mk6UjR3U","uFcxV4UQCh","2td37pGCOC","KYD54nUTWz"],"dependent_operators":["Tcnh7f0tEr","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2605","layer":4},{"info":"number node, value=1693","layer":4},{"info":"compute binary expreesion, left_input=2605, right_input=1693, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5079","layer":3},{"info":"number node, value=1306","layer":4},{"info":"number node, value=2425","layer":4},{"info":"compute binary expreesion, left_input=1306, right_input=2425, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3577","layer":3},{"info":"compute binary expreesion, left_input=-5079, right_input=3577, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3104","layer":2},{"info":"number node, value=1555","layer":4},{"info":"number node, value=5080","layer":4},{"info":"compute binary expreesion, left_input=1555, right_input=5080, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1800","layer":4},{"info":"number node, value=4275","layer":4},{"info":"compute binary expreesion, left_input=1800, right_input=4275, 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 = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3104, 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=2048","layer":4},{"info":"number node, value=2639","layer":4},{"info":"compute binary expreesion, left_input=2048, right_input=2639, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3230","layer":3},{"info":"number node, value=2975","layer":4},{"info":"number node, value=1211","layer":4},{"info":"compute binary expreesion, left_input=2975, right_input=1211, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=553","layer":3},{"info":"compute binary expreesion, left_input=3230, right_input=553, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=3210","layer":4},{"info":"number node, value=2384","layer":4},{"info":"compute binary expreesion, left_input=3210, right_input=2384, 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 = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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":10,"result_base":10,"text":"(((⊺⇮2605↙⊺⇮1693)≧⫂∧(⊺⇮1306⋥≓≎⊺⇮2425))∀⇚≩(⊺⇮1555⨟⋌⩍⊺⇮5080⋝⋈⪟⊺⇮1800⊴⊺⇮4275))⨟⋌⩍((⊺⇮2048⋷⊺⇮2639)∀⇚≩⊺⇮2975⪛⊺⇮1211)⪢(⩦⩻⨪⊺⇮3210⫥∨⫟⊺⇮2384)=NaN","reverse_text":"NaN=(((⊺⇮2605↙⊺⇮1693)≧⫂∧(⊺⇮1306⋥≓≎⊺⇮2425))∀⇚≩(⊺⇮1555⨟⋌⩍⊺⇮5080⋝⋈⪟⊺⇮1800⊴⊺⇮4275))⨟⋌⩍((⊺⇮2048⋷⊺⇮2639)∀⇚≩⊺⇮2975⪛⊺⇮1211)⪢(⩦⩻⨪⊺⇮3210⫥∨⫟⊺⇮2384)","cot":[{"info":"⊺⇮2605↙⊺⇮1693=⊺⇮-5079","layer":3},{"info":"⊺⇮1306⋥≓≎⊺⇮2425=⊺⇮3577","layer":3},{"info":"⊺⇮-5079≧⫂∧⊺⇮3577=⊺⇮3104","layer":2},{"info":"⊺⇮1555⨟⋌⩍⊺⇮5080=NaN","layer":3},{"info":"⊺⇮1800⊴⊺⇮4275=NaN","layer":3},{"info":"NaN⋝⋈⪟NaN=NaN","layer":2},{"info":"⊺⇮3104∀⇚≩NaN=NaN","layer":1},{"info":"⊺⇮2048⋷⊺⇮2639=⊺⇮3230","layer":3},{"info":"⊺⇮2975⪛⊺⇮1211=⊺⇮553","layer":3},{"info":"⊺⇮3230∀⇚≩⊺⇮553=NaN","layer":2},{"info":"⊺⇮3210⫥∨⫟⊺⇮2384=NaN","layer":3},{"info":"⩦⩻⨪NaN=NaN","layer":2},{"info":"NaN⪢NaN=NaN","layer":1},{"info":"NaN⨟⋌⩍NaN=NaN","layer":0}]}
{"id":198,"expression_no_base_symbol":"((⊥$1532$)%($2578$⇋≉)+($1052$∸)∑⇟⊟($1026$*$5475$))∀⇚≩(+⊝⨔(($3134$⫡⨏$4343$)⪛(⊥$5536$)))","expression":"((⊥⊺⇮1532)%(⊺⇮2578⇋≉)+(⊺⇮1052∸)∑⇟⊟(⊺⇮1026*⊺⇮5475))∀⇚≩(+⊝⨔((⊺⇮3134⫡⨏⊺⇮4343)⪛(⊥⊺⇮5536)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1243,"operation_count":12,"complexity_ratio":103.58333333333333,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1532,"base":10}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":2578,"base":10}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":1052,"base":10}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1026,"base":10},"right_expr":{"type":"numeric_atoms","value":5475,"base":10}}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3134,"base":10},"right_expr":{"type":"numeric_atoms","value":4343,"base":10}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":5536,"base":10}}}}},"used_operators":["LRNGc0VcxI","W4YGzv6Whe","k8jYdgA6NY","Q3PJZHRvZv","XIabStNQrY","U7g4x0WXJJ","o20kRiQErp","9HNa5Wba9A","DhbWaqg5eL","uFcxV4UQCh","QMFrweE19q"],"dependent_operators":["X99M06cbEe","rysDP5nf3Z","fu6greOZ01","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","tmPS8pqC7x","W4YGzv6Whe","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1532","layer":4},{"info":"compute unary expreesion, input=1532, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=2578","layer":4},{"info":"compute unary expreesion, input=2578, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=5058","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5058, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1052","layer":4},{"info":"compute unary expreesion, input=1052, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=1026","layer":4},{"info":"number node, value=5475","layer":4},{"info":"compute binary expreesion, left_input=1026, right_input=5475, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=5617350","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=5617350, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=3134","layer":4},{"info":"number node, value=4343","layer":4},{"info":"compute binary expreesion, left_input=3134, right_input=4343, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=25139","layer":3},{"info":"number node, value=5536","layer":4},{"info":"compute unary expreesion, input=5536, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=25139, 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 = 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 = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":10,"result_base":10,"text":"((⊥⊺⇮1532)%(⊺⇮2578⇋≉)+(⊺⇮1052∸)∑⇟⊟(⊺⇮1026*⊺⇮5475))∀⇚≩(+⊝⨔((⊺⇮3134⫡⨏⊺⇮4343)⪛(⊥⊺⇮5536)))=NaN","reverse_text":"NaN=((⊥⊺⇮1532)%(⊺⇮2578⇋≉)+(⊺⇮1052∸)∑⇟⊟(⊺⇮1026*⊺⇮5475))∀⇚≩(+⊝⨔((⊺⇮3134⫡⨏⊺⇮4343)⪛(⊥⊺⇮5536)))","cot":[{"info":"⊥⊺⇮1532=NaN","layer":3},{"info":"⊺⇮2578⇋≉=⊺⇮5058","layer":3},{"info":"NaN%⊺⇮5058=NaN","layer":2},{"info":"⊺⇮1052∸=⊺⇮177","layer":3},{"info":"⊺⇮1026*⊺⇮5475=⊺⇮5617350","layer":3},{"info":"⊺⇮177∑⇟⊟⊺⇮5617350=NaN","layer":2},{"info":"NaN+NaN=NaN","layer":1},{"info":"⊺⇮3134⫡⨏⊺⇮4343=⊺⇮25139","layer":3},{"info":"⊥⊺⇮5536=NaN","layer":3},{"info":"⊺⇮25139⪛NaN=NaN","layer":2},{"info":"+⊝⨔NaN=⊺⇮1522","layer":1},{"info":"NaN∀⇚≩⊺⇮1522=NaN","layer":0}]}
{"id":199,"expression_no_base_symbol":"(⫓⪴($1244$⪮%⊝$4571$∲⫓($4944$⇋≉)))↪⪝","expression":"(⫓⪴(⊺⇮1244⪮%⊝⊺⇮4571∲⫓(⊺⇮4944⇋≉)))↪⪝","highest_n_order":2,"priority_hierarchical_complexity":5,"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":1244,"base":10},"right_expr":{"type":"numeric_atoms","value":4571,"base":10}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":4944,"base":10}}}}},"used_operators":["l07mrZUIn9","eLxqMNBOBk","i8ToyICDmI","IWmyXbctLI","XIabStNQrY"],"dependent_operators":["9HNa5Wba9A","2DDjHMKMc0","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=1244","layer":4},{"info":"number node, value=4571","layer":4},{"info":"compute binary expreesion, left_input=1244, right_input=4571, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2804","layer":3},{"info":"number node, value=4944","layer":4},{"info":"compute unary expreesion, input=4944, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=9790","layer":3},{"info":"compute binary expreesion, left_input=2804, right_input=9790, 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 = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=0","layer":0}],"base":10,"result_base":10,"text":"(⫓⪴(⊺⇮1244⪮%⊝⊺⇮4571∲⫓(⊺⇮4944⇋≉)))↪⪝=⊺⇮0","reverse_text":"⊺⇮0=(⫓⪴(⊺⇮1244⪮%⊝⊺⇮4571∲⫓(⊺⇮4944⇋≉)))↪⪝","cot":[{"info":"⊺⇮1244⪮%⊝⊺⇮4571=⊺⇮2804","layer":3},{"info":"⊺⇮4944⇋≉=⊺⇮9790","layer":3},{"info":"⊺⇮2804∲⫓⊺⇮9790=⊺⇮0","layer":2},{"info":"⫓⪴⊺⇮0=⊺⇮0","layer":1},{"info":"⊺⇮0↪⪝=⊺⇮0","layer":0}]}
{"id":200,"expression_no_base_symbol":"((⪝⪂⫅$1758$)≧⫂∧($2242$≦≮≮))∼($3174$⋥≓≎$2845$⪨≂(⊥$2456$))∀⇚≩((($3434$⪨≂$4192$)⪒$2729$⨟⋌⩍$5199$)≭($2083$≎⊠⪸$1036$⫸⊐($4959$⨵⪆$1043$)))","expression":"((⪝⪂⫅⊺⇮1758)≧⫂∧(⊺⇮2242≦≮≮))∼(⊺⇮3174⋥≓≎⊺⇮2845⪨≂(⊥⊺⇮2456))∀⇚≩(((⊺⇮3434⪨≂⊺⇮4192)⪒⊺⇮2729⨟⋌⩍⊺⇮5199)≭(⊺⇮2083≎⊠⪸⊺⇮1036⫸⊐(⊺⇮4959⨵⪆⊺⇮1043)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5408,"operation_count":15,"complexity_ratio":360.53333333333336,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1758,"base":10}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":2242,"base":10}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3174,"base":10},"right_expr":{"type":"numeric_atoms","value":2845,"base":10}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":2456,"base":10}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3434,"base":10},"right_expr":{"type":"numeric_atoms","value":4192,"base":10}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2729,"base":10},"right_expr":{"type":"numeric_atoms","value":5199,"base":10}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2083,"base":10},"right_expr":{"type":"numeric_atoms","value":1036,"base":10}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":4959,"base":10},"right_expr":{"type":"numeric_atoms","value":1043,"base":10}}}}},"used_operators":["LRNGc0VcxI","DyGG3AbaNP","Ph9nP6C5qx","XTarYq4gQB","D4vGDi5EA2","sdazOOVcIp","Qy55tPpLXF","Q3PJZHRvZv","rxpJgHHUmx","f6k1SAg4EE","rGHVDoGpnC","mqXw5SEYmG","bJkvcejdHO","2DQ55sFlQl"],"dependent_operators":["X99M06cbEe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1758","layer":4},{"info":"compute unary expreesion, input=1758, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-258426","layer":3},{"info":"number node, value=2242","layer":4},{"info":"compute unary expreesion, input=2242, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-6726","layer":3},{"info":"compute binary expreesion, left_input=-258426, right_input=-6726, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-251700","layer":2},{"info":"number node, value=3174","layer":4},{"info":"number node, value=2845","layer":4},{"info":"compute binary expreesion, left_input=3174, right_input=2845, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2549","layer":3},{"info":"number node, value=2456","layer":4},{"info":"compute unary expreesion, input=2456, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2549, 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=-251700, 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=3434","layer":4},{"info":"number node, value=4192","layer":4},{"info":"compute binary expreesion, left_input=3434, right_input=4192, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-1414","layer":3},{"info":"number node, value=2729","layer":4},{"info":"number node, value=5199","layer":4},{"info":"compute binary expreesion, left_input=2729, right_input=5199, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=-1414, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=2083","layer":4},{"info":"number node, value=1036","layer":4},{"info":"compute binary expreesion, left_input=2083, right_input=1036, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=539024","layer":3},{"info":"number node, value=4959","layer":4},{"info":"number node, value=1043","layer":4},{"info":"compute binary expreesion, left_input=4959, right_input=1043, 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=539024, right_input=160, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=515","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=515, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":10,"result_base":10,"text":"((⪝⪂⫅⊺⇮1758)≧⫂∧(⊺⇮2242≦≮≮))∼(⊺⇮3174⋥≓≎⊺⇮2845⪨≂(⊥⊺⇮2456))∀⇚≩(((⊺⇮3434⪨≂⊺⇮4192)⪒⊺⇮2729⨟⋌⩍⊺⇮5199)≭(⊺⇮2083≎⊠⪸⊺⇮1036⫸⊐(⊺⇮4959⨵⪆⊺⇮1043)))=NaN","reverse_text":"NaN=((⪝⪂⫅⊺⇮1758)≧⫂∧(⊺⇮2242≦≮≮))∼(⊺⇮3174⋥≓≎⊺⇮2845⪨≂(⊥⊺⇮2456))∀⇚≩(((⊺⇮3434⪨≂⊺⇮4192)⪒⊺⇮2729⨟⋌⩍⊺⇮5199)≭(⊺⇮2083≎⊠⪸⊺⇮1036⫸⊐(⊺⇮4959⨵⪆⊺⇮1043)))","cot":[{"info":"⪝⪂⫅⊺⇮1758=⊺⇮-258426","layer":3},{"info":"⊺⇮2242≦≮≮=⊺⇮-6726","layer":3},{"info":"⊺⇮-258426≧⫂∧⊺⇮-6726=⊺⇮-251700","layer":2},{"info":"⊺⇮3174⋥≓≎⊺⇮2845=⊺⇮2549","layer":3},{"info":"⊥⊺⇮2456=NaN","layer":3},{"info":"⊺⇮2549⪨≂NaN=NaN","layer":2},{"info":"⊺⇮-251700∼NaN=NaN","layer":1},{"info":"⊺⇮3434⪨≂⊺⇮4192=⊺⇮-1414","layer":3},{"info":"⊺⇮2729⨟⋌⩍⊺⇮5199=NaN","layer":3},{"info":"⊺⇮-1414⪒NaN=NaN","layer":2},{"info":"⊺⇮2083≎⊠⪸⊺⇮1036=⊺⇮539024","layer":3},{"info":"⊺⇮4959⨵⪆⊺⇮1043=⊺⇮160","layer":3},{"info":"⊺⇮539024⫸⊐⊺⇮160=⊺⇮515","layer":2},{"info":"NaN≭⊺⇮515=NaN","layer":1},{"info":"NaN∀⇚≩NaN=NaN","layer":0}]}
{"id":201,"expression_no_base_symbol":"($3038$⫥∨⫟$6153$-$8235$≭$5315$)≹⇙⪍((↥$1038$)⇷(⨰⫟⨤$3989$))⨓((($3499$⪨≂$2968$)⫸⊐$4934$⨟⋌⩍$6558$)≧⫂∧($6893$⋝⋈⪟$2255$⩚⊴⇥$3084$∀⇚≩$1100$))","expression":"(⊺⇮3038⫥∨⫟⊺⇮6153-⊺⇮8235≭⊺⇮5315)≹⇙⪍((↥⊺⇮1038)⇷(⨰⫟⨤⊺⇮3989))⨓(((⊺⇮3499⪨≂⊺⇮2968)⫸⊐⊺⇮4934⨟⋌⩍⊺⇮6558)≧⫂∧(⊺⇮6893⋝⋈⪟⊺⇮2255⩚⊴⇥⊺⇮3084∀⇚≩⊺⇮1100))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":37181,"operation_count":15,"complexity_ratio":2478.733333333333,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3038,"base":10},"right_expr":{"type":"numeric_atoms","value":6153,"base":10}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":8235,"base":10},"right_expr":{"type":"numeric_atoms","value":5315,"base":10}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1038,"base":10}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":3989,"base":10}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3499,"base":10},"right_expr":{"type":"numeric_atoms","value":2968,"base":10}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4934,"base":10},"right_expr":{"type":"numeric_atoms","value":6558,"base":10}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":6893,"base":10},"right_expr":{"type":"numeric_atoms","value":2255,"base":10}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3084,"base":10},"right_expr":{"type":"numeric_atoms","value":1100,"base":10}}}}},"used_operators":["3ViojmjbAp","AHs5Up7iyr","rysDP5nf3Z","KYD54nUTWz","rxpJgHHUmx","mp7IySMOzn","A8NUZmVepG","Tw270M8GLb","Ph9nP6C5qx","mqXw5SEYmG","sdazOOVcIp","rGHVDoGpnC","NTOWxs364D","2DDjHMKMc0","LRNGc0VcxI"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","dWAJyo7jo9","8HhzD0ZcuI","rGHVDoGpnC","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","k8jYdgA6NY","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=3038","layer":4},{"info":"number node, value=6153","layer":4},{"info":"compute binary expreesion, left_input=3038, right_input=6153, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=8235","layer":4},{"info":"number node, value=5315","layer":4},{"info":"compute binary expreesion, left_input=8235, right_input=5315, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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 = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1038","layer":4},{"info":"compute unary expreesion, input=1038, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=18","layer":3},{"info":"number node, value=3989","layer":4},{"info":"compute unary expreesion, input=3989, 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=18, 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 = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=3499","layer":4},{"info":"number node, value=2968","layer":4},{"info":"compute binary expreesion, left_input=3499, right_input=2968, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=1164","layer":3},{"info":"number node, value=4934","layer":4},{"info":"number node, value=6558","layer":4},{"info":"compute binary expreesion, left_input=4934, right_input=6558, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1164, 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=6893","layer":4},{"info":"number node, value=2255","layer":4},{"info":"compute binary expreesion, left_input=6893, right_input=2255, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6893","layer":3},{"info":"number node, value=3084","layer":4},{"info":"number node, value=1100","layer":4},{"info":"compute binary expreesion, left_input=3084, right_input=1100, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=6893, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮3038⫥∨⫟⊺⇮6153-⊺⇮8235≭⊺⇮5315)≹⇙⪍((↥⊺⇮1038)⇷(⨰⫟⨤⊺⇮3989))⨓(((⊺⇮3499⪨≂⊺⇮2968)⫸⊐⊺⇮4934⨟⋌⩍⊺⇮6558)≧⫂∧(⊺⇮6893⋝⋈⪟⊺⇮2255⩚⊴⇥⊺⇮3084∀⇚≩⊺⇮1100))=NaN","reverse_text":"NaN=(⊺⇮3038⫥∨⫟⊺⇮6153-⊺⇮8235≭⊺⇮5315)≹⇙⪍((↥⊺⇮1038)⇷(⨰⫟⨤⊺⇮3989))⨓(((⊺⇮3499⪨≂⊺⇮2968)⫸⊐⊺⇮4934⨟⋌⩍⊺⇮6558)≧⫂∧(⊺⇮6893⋝⋈⪟⊺⇮2255⩚⊴⇥⊺⇮3084∀⇚≩⊺⇮1100))","cot":[{"info":"⊺⇮3038⫥∨⫟⊺⇮6153=NaN","layer":3},{"info":"⊺⇮8235≭⊺⇮5315=NaN","layer":3},{"info":"NaN-NaN=NaN","layer":2},{"info":"↥⊺⇮1038=⊺⇮18","layer":3},{"info":"⨰⫟⨤⊺⇮3989=NaN","layer":3},{"info":"⊺⇮18⇷NaN=NaN","layer":2},{"info":"NaN≹⇙⪍NaN=NaN","layer":1},{"info":"⊺⇮3499⪨≂⊺⇮2968=⊺⇮1164","layer":3},{"info":"⊺⇮4934⨟⋌⩍⊺⇮6558=NaN","layer":3},{"info":"⊺⇮1164⫸⊐NaN=NaN","layer":2},{"info":"⊺⇮6893⋝⋈⪟⊺⇮2255=⊺⇮6893","layer":3},{"info":"⊺⇮3084∀⇚≩⊺⇮1100=NaN","layer":3},{"info":"⊺⇮6893⩚⊴⇥NaN=NaN","layer":2},{"info":"NaN≧⫂∧NaN=NaN","layer":1},{"info":"NaN⨓NaN=NaN","layer":0}]}
{"id":202,"expression_no_base_symbol":"(((↥$1457$)⫩⊇)∲⫓$1013$⪛$1016$⨓($1599$⫩⊇))⪐","expression":"(((↥⊺⇮1457)⫩⊇)∲⫓⊺⇮1013⪛⊺⇮1016⨓(⊺⇮1599⫩⊇))⪐","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1602,"operation_count":7,"complexity_ratio":228.85714285714286,"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":1457,"base":10}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1013,"base":10},"right_expr":{"type":"numeric_atoms","value":1016,"base":10}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":1599,"base":10}}}}},"used_operators":["eH2TOUuTDT","i8ToyICDmI","BjRHVeLaeN","A8NUZmVepG","3ViojmjbAp","uFcxV4UQCh"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⊺⇮26","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1457","layer":4},{"info":"compute unary expreesion, input=1457, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=29","layer":3},{"info":"compute unary expreesion, input=29, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=13","layer":2},{"info":"number node, value=1013","layer":4},{"info":"number node, value=1016","layer":4},{"info":"compute binary expreesion, left_input=1013, right_input=1016, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1013","layer":3},{"info":"number node, value=1599","layer":4},{"info":"compute unary expreesion, input=1599, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1557","layer":3},{"info":"compute binary expreesion, left_input=1013, right_input=-1557, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1560","layer":2},{"info":"compute binary expreesion, left_input=13, right_input=-1560, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=13","layer":1},{"info":"compute unary expreesion, input=13, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=26","layer":0}],"base":10,"result_base":10,"text":"(((↥⊺⇮1457)⫩⊇)∲⫓⊺⇮1013⪛⊺⇮1016⨓(⊺⇮1599⫩⊇))⪐=⊺⇮26","reverse_text":"⊺⇮26=(((↥⊺⇮1457)⫩⊇)∲⫓⊺⇮1013⪛⊺⇮1016⨓(⊺⇮1599⫩⊇))⪐","cot":[{"info":"↥⊺⇮1457=⊺⇮29","layer":3},{"info":"⊺⇮29⫩⊇=⊺⇮13","layer":2},{"info":"⊺⇮1013⪛⊺⇮1016=⊺⇮1013","layer":3},{"info":"⊺⇮1599⫩⊇=⊺⇮-1557","layer":3},{"info":"⊺⇮1013⨓⊺⇮-1557=⊺⇮-1560","layer":2},{"info":"⊺⇮13∲⫓⊺⇮-1560=⊺⇮13","layer":1},{"info":"⊺⇮13⪐=⊺⇮26","layer":0}]}
{"id":203,"expression_no_base_symbol":"($6254$⩨$1671$⨵⪆$2393$⊴$1713$)⇷(+⊝⨔($1441$⪒$4622$))≦≮≮","expression":"(⊺⇮6254⩨⊺⇮1671⨵⪆⊺⇮2393⊴⊺⇮1713)⇷(+⊝⨔(⊺⇮1441⪒⊺⇮4622))≦≮≮","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":9308,"operation_count":7,"complexity_ratio":1329.7142857142858,"tree":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":6254,"base":10},"right_expr":{"type":"numeric_atoms","value":1671,"base":10}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2393,"base":10},"right_expr":{"type":"numeric_atoms","value":1713,"base":10}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1441,"base":10},"right_expr":{"type":"numeric_atoms","value":4622,"base":10}}}}},"used_operators":["D4vGDi5EA2","mp7IySMOzn","2DQ55sFlQl","2DlMacCsIx","Nsiff2A1zJ","DhbWaqg5eL","f6k1SAg4EE"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","14qkJME0vr","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮-9132","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6254","layer":4},{"info":"number node, value=1671","layer":4},{"info":"compute binary expreesion, left_input=6254, right_input=1671, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=2393","layer":4},{"info":"number node, value=1713","layer":4},{"info":"compute binary expreesion, left_input=2393, right_input=1713, 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 = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=1441","layer":4},{"info":"number node, value=4622","layer":4},{"info":"compute binary expreesion, left_input=1441, right_input=4622, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6063","layer":3},{"info":"compute unary expreesion, input=-6063, 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=160, right_input=1522, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3044","layer":1},{"info":"compute unary expreesion, input=3044, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-9132","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮6254⩨⊺⇮1671⨵⪆⊺⇮2393⊴⊺⇮1713)⇷(+⊝⨔(⊺⇮1441⪒⊺⇮4622))≦≮≮=⊺⇮-9132","reverse_text":"⊺⇮-9132=(⊺⇮6254⩨⊺⇮1671⨵⪆⊺⇮2393⊴⊺⇮1713)⇷(+⊝⨔(⊺⇮1441⪒⊺⇮4622))≦≮≮","cot":[{"info":"⊺⇮6254⩨⊺⇮1671=⊺⇮0","layer":3},{"info":"⊺⇮2393⊴⊺⇮1713=NaN","layer":3},{"info":"⊺⇮0⨵⪆NaN=⊺⇮160","layer":2},{"info":"⊺⇮1441⪒⊺⇮4622=⊺⇮-6063","layer":3},{"info":"+⊝⨔⊺⇮-6063=⊺⇮1522","layer":2},{"info":"⊺⇮160⇷⊺⇮1522=⊺⇮3044","layer":1},{"info":"⊺⇮3044≦≮≮=⊺⇮-9132","layer":0}]}
{"id":204,"expression_no_base_symbol":"((($1365$⨵⪆$4921$)⨐⩸⫘$2125$⪘⫢$2577$)⊪)∀⇚≩((($6319$⊉≛↸$1334$)⊪)⇼⇔∾(⨞⊢$1528$⋝⋈⪟$1487$))","expression":"(((⊺⇮1365⨵⪆⊺⇮4921)⨐⩸⫘⊺⇮2125⪘⫢⊺⇮2577)⊪)∀⇚≩(((⊺⇮6319⊉≛↸⊺⇮1334)⊪)⇼⇔∾(⨞⊢⊺⇮1528⋝⋈⪟⊺⇮1487))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":73,"operation_count":10,"complexity_ratio":7.3,"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":1365,"base":10},"right_expr":{"type":"numeric_atoms","value":4921,"base":10}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2125,"base":10},"right_expr":{"type":"numeric_atoms","value":2577,"base":10}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":6319,"base":10},"right_expr":{"type":"numeric_atoms","value":1334,"base":10}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1528,"base":10},"right_expr":{"type":"numeric_atoms","value":1487,"base":10}}}}},"used_operators":["LRNGc0VcxI","zVYPLywUTj","fu6greOZ01","2DQ55sFlQl","oacrs7FA3X","tifHPKVTfV","DZ8iAZOCBD","xUOZtlo3hN","2DDjHMKMc0"],"dependent_operators":["X99M06cbEe","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1365","layer":4},{"info":"number node, value=4921","layer":4},{"info":"compute binary expreesion, left_input=1365, right_input=4921, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=2125","layer":4},{"info":"number node, value=2577","layer":4},{"info":"compute binary expreesion, left_input=2125, right_input=2577, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4126","layer":3},{"info":"compute binary expreesion, left_input=160, 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":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=6319","layer":4},{"info":"number node, value=1334","layer":4},{"info":"compute binary expreesion, left_input=6319, right_input=1334, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=12638","layer":3},{"info":"compute unary expreesion, input=12638, 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=1528","layer":4},{"info":"number node, value=1487","layer":4},{"info":"compute binary expreesion, left_input=1528, right_input=1487, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1528","layer":3},{"info":"compute unary expreesion, input=1528, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1702","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-1702, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1702","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1702, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":10,"result_base":10,"text":"(((⊺⇮1365⨵⪆⊺⇮4921)⨐⩸⫘⊺⇮2125⪘⫢⊺⇮2577)⊪)∀⇚≩(((⊺⇮6319⊉≛↸⊺⇮1334)⊪)⇼⇔∾(⨞⊢⊺⇮1528⋝⋈⪟⊺⇮1487))=NaN","reverse_text":"NaN=(((⊺⇮1365⨵⪆⊺⇮4921)⨐⩸⫘⊺⇮2125⪘⫢⊺⇮2577)⊪)∀⇚≩(((⊺⇮6319⊉≛↸⊺⇮1334)⊪)⇼⇔∾(⨞⊢⊺⇮1528⋝⋈⪟⊺⇮1487))","cot":[{"info":"⊺⇮1365⨵⪆⊺⇮4921=⊺⇮160","layer":3},{"info":"⊺⇮2125⪘⫢⊺⇮2577=⊺⇮4126","layer":3},{"info":"⊺⇮160⨐⩸⫘⊺⇮4126=NaN","layer":2},{"info":"NaN⊪=NaN","layer":1},{"info":"⊺⇮6319⊉≛↸⊺⇮1334=⊺⇮12638","layer":3},{"info":"⊺⇮12638⊪=⊺⇮0","layer":2},{"info":"⊺⇮1528⋝⋈⪟⊺⇮1487=⊺⇮1528","layer":3},{"info":"⨞⊢⊺⇮1528=⊺⇮-1702","layer":2},{"info":"⊺⇮0⇼⇔∾⊺⇮-1702=⊺⇮-1702","layer":1},{"info":"NaN∀⇚≩⊺⇮-1702=NaN","layer":0}]}
{"id":205,"expression_no_base_symbol":"((($1647$⊦⊿)≫≃)⫡⨏($1499$⫸⊐$8211$)⨽$5230$≎⊠⪸$1797$)-((⊄⩳↩$4418$)⊉≛↸$5103$+⇶⊼$4888$)⪘⫢($5504$⨸⪁$1523$⪨≂$5307$∲⫓$6382$)","expression":"(((⊺⇮1647⊦⊿)≫≃)⫡⨏(⊺⇮1499⫸⊐⊺⇮8211)⨽⊺⇮5230≎⊠⪸⊺⇮1797)-((⊄⩳↩⊺⇮4418)⊉≛↸⊺⇮5103+⇶⊼⊺⇮4888)⪘⫢(⊺⇮5504⨸⪁⊺⇮1523⪨≂⊺⇮5307∲⫓⊺⇮6382)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":33070,"operation_count":14,"complexity_ratio":2362.1428571428573,"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":1647,"base":10}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1499,"base":10},"right_expr":{"type":"numeric_atoms","value":8211,"base":10}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":5230,"base":10},"right_expr":{"type":"numeric_atoms","value":1797,"base":10}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":4418,"base":10}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":5103,"base":10},"right_expr":{"type":"numeric_atoms","value":4888,"base":10}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":5504,"base":10},"right_expr":{"type":"numeric_atoms","value":1523,"base":10}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":5307,"base":10},"right_expr":{"type":"numeric_atoms","value":6382,"base":10}}}}},"used_operators":["rysDP5nf3Z","QMFrweE19q","X99M06cbEe","14qkJME0vr","8HhzD0ZcuI","mqXw5SEYmG","bJkvcejdHO","oacrs7FA3X","DZ8iAZOCBD","8w2t5hMYqp","TpPTUOHfaN","sdazOOVcIp","g55IO6H4Gj","i8ToyICDmI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1647","layer":4},{"info":"compute unary expreesion, input=1647, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-5020","layer":3},{"info":"compute unary expreesion, input=-5020, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=-8639","layer":2},{"info":"number node, value=1499","layer":4},{"info":"number node, value=8211","layer":4},{"info":"compute binary expreesion, left_input=1499, right_input=8211, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=32719","layer":3},{"info":"number node, value=5230","layer":4},{"info":"number node, value=1797","layer":4},{"info":"compute binary expreesion, left_input=5230, right_input=1797, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1354097","layer":3},{"info":"compute binary expreesion, left_input=32719, right_input=1354097, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":2},{"info":"compute binary expreesion, left_input=-8639, right_input=-inf, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-inf","layer":1},{"info":"number node, value=4418","layer":4},{"info":"compute unary expreesion, input=4418, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-13254","layer":3},{"info":"number node, value=5103","layer":4},{"info":"number node, value=4888","layer":4},{"info":"compute binary expreesion, left_input=5103, right_input=4888, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=-13254, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":2},{"info":"number node, value=5504","layer":4},{"info":"number node, value=1523","layer":4},{"info":"compute binary expreesion, left_input=5504, right_input=1523, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=14054","layer":3},{"info":"number node, value=5307","layer":4},{"info":"number node, value=6382","layer":4},{"info":"compute binary expreesion, left_input=5307, right_input=6382, 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=14054, 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=28210","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=28210, 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=-inf, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮1647⊦⊿)≫≃)⫡⨏(⊺⇮1499⫸⊐⊺⇮8211)⨽⊺⇮5230≎⊠⪸⊺⇮1797)-((⊄⩳↩⊺⇮4418)⊉≛↸⊺⇮5103+⇶⊼⊺⇮4888)⪘⫢(⊺⇮5504⨸⪁⊺⇮1523⪨≂⊺⇮5307∲⫓⊺⇮6382)=NaN","reverse_text":"NaN=(((⊺⇮1647⊦⊿)≫≃)⫡⨏(⊺⇮1499⫸⊐⊺⇮8211)⨽⊺⇮5230≎⊠⪸⊺⇮1797)-((⊄⩳↩⊺⇮4418)⊉≛↸⊺⇮5103+⇶⊼⊺⇮4888)⪘⫢(⊺⇮5504⨸⪁⊺⇮1523⪨≂⊺⇮5307∲⫓⊺⇮6382)","cot":[{"info":"⊺⇮1647⊦⊿=⊺⇮-5020","layer":3},{"info":"⊺⇮-5020≫≃=⊺⇮-8639","layer":2},{"info":"⊺⇮1499⫸⊐⊺⇮8211=⊺⇮32719","layer":3},{"info":"⊺⇮5230≎⊠⪸⊺⇮1797=⊺⇮1354097","layer":3},{"info":"⊺⇮32719⨽⊺⇮1354097=-Inf","layer":2},{"info":"⊺⇮-8639⫡⨏-Inf=-Inf","layer":1},{"info":"⊄⩳↩⊺⇮4418=⊺⇮-13254","layer":3},{"info":"⊺⇮5103+⇶⊼⊺⇮4888=NaN","layer":3},{"info":"⊺⇮-13254⊉≛↸NaN=NaN","layer":2},{"info":"⊺⇮5504⨸⪁⊺⇮1523=⊺⇮14054","layer":3},{"info":"⊺⇮5307∲⫓⊺⇮6382=⊺⇮0","layer":3},{"info":"⊺⇮14054⪨≂⊺⇮0=⊺⇮28210","layer":2},{"info":"NaN⪘⫢⊺⇮28210=NaN","layer":1},{"info":"-Inf-NaN=NaN","layer":0}]}
{"id":206,"expression_no_base_symbol":"(⨑⩽⪐$3891$⇷$2682$)↬($4597$⨪↰⇹$1229$⨵⪆$3853$∑⇟⊟$4163$)∑⇟⊟((⪲⇎$6226$⩚⊴⇥$2353$)↪⪝)","expression":"(⨑⩽⪐⊺⇮3891⇷⊺⇮2682)↬(⊺⇮4597⨪↰⇹⊺⇮1229⨵⪆⊺⇮3853∑⇟⊟⊺⇮4163)∑⇟⊟((⪲⇎⊺⇮6226⩚⊴⇥⊺⇮2353)↪⪝)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":59790,"operation_count":10,"complexity_ratio":5979.0,"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":3891,"base":10},"right_expr":{"type":"numeric_atoms","value":2682,"base":10}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4597,"base":10},"right_expr":{"type":"numeric_atoms","value":1229,"base":10}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3853,"base":10},"right_expr":{"type":"numeric_atoms","value":4163,"base":10}}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":6226,"base":10},"right_expr":{"type":"numeric_atoms","value":2353,"base":10}}}}},"used_operators":["U7g4x0WXJJ","B5M0gjZbta","AF7qkfDlqP","mp7IySMOzn","2DQ55sFlQl","tmPS8pqC7x","l07mrZUIn9","XPYlsWDdGa","NTOWxs364D"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3891","layer":4},{"info":"number node, value=2682","layer":4},{"info":"compute binary expreesion, left_input=3891, right_input=2682, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5364","layer":3},{"info":"compute unary expreesion, input=5364, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-5091","layer":2},{"info":"number node, value=4597","layer":4},{"info":"number node, value=1229","layer":4},{"info":"compute binary expreesion, left_input=4597, right_input=1229, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=4597","layer":3},{"info":"number node, value=3853","layer":4},{"info":"number node, value=4163","layer":4},{"info":"compute binary expreesion, left_input=3853, right_input=4163, 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=4597, 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=-5091, 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":1},{"info":"number node, value=6226","layer":4},{"info":"number node, value=2353","layer":4},{"info":"compute binary expreesion, left_input=6226, right_input=2353, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8700","layer":3},{"info":"compute unary expreesion, input=-8700, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-17400","layer":2},{"info":"compute unary expreesion, input=-17400, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=-1064566800","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1064566800, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⨑⩽⪐⊺⇮3891⇷⊺⇮2682)↬(⊺⇮4597⨪↰⇹⊺⇮1229⨵⪆⊺⇮3853∑⇟⊟⊺⇮4163)∑⇟⊟((⪲⇎⊺⇮6226⩚⊴⇥⊺⇮2353)↪⪝)=NaN","reverse_text":"NaN=(⨑⩽⪐⊺⇮3891⇷⊺⇮2682)↬(⊺⇮4597⨪↰⇹⊺⇮1229⨵⪆⊺⇮3853∑⇟⊟⊺⇮4163)∑⇟⊟((⪲⇎⊺⇮6226⩚⊴⇥⊺⇮2353)↪⪝)","cot":[{"info":"⊺⇮3891⇷⊺⇮2682=⊺⇮5364","layer":3},{"info":"⨑⩽⪐⊺⇮5364=⊺⇮-5091","layer":2},{"info":"⊺⇮4597⨪↰⇹⊺⇮1229=⊺⇮4597","layer":3},{"info":"⊺⇮3853∑⇟⊟⊺⇮4163=NaN","layer":3},{"info":"⊺⇮4597⨵⪆NaN=⊺⇮160","layer":2},{"info":"⊺⇮-5091↬⊺⇮160=NaN","layer":1},{"info":"⊺⇮6226⩚⊴⇥⊺⇮2353=⊺⇮-8700","layer":3},{"info":"⪲⇎⊺⇮-8700=⊺⇮-17400","layer":2},{"info":"⊺⇮-17400↪⪝=⊺⇮-1064566800","layer":1},{"info":"NaN∑⇟⊟⊺⇮-1064566800=NaN","layer":0}]}
{"id":207,"expression_no_base_symbol":"($2381$∼$1417$⪄$1128$⇷$1096$⨵⪆($1972$⨰$5959$)∑⇟⊟($1906$⊭∹↮))⋥≓≎(($7402$↺$1682$)∀⇚≩($5947$⊭∹↮)⪒($3051$⨓$5432$)⨪↰⇹($2901$≭$1696$))","expression":"(⊺⇮2381∼⊺⇮1417⪄⊺⇮1128⇷⊺⇮1096⨵⪆(⊺⇮1972⨰⊺⇮5959)∑⇟⊟(⊺⇮1906⊭∹↮))⋥≓≎((⊺⇮7402↺⊺⇮1682)∀⇚≩(⊺⇮5947⊭∹↮)⪒(⊺⇮3051⨓⊺⇮5432)⨪↰⇹(⊺⇮2901≭⊺⇮1696))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":38545,"operation_count":15,"complexity_ratio":2569.6666666666665,"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":2381,"base":10},"right_expr":{"type":"numeric_atoms","value":1417,"base":10}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1128,"base":10},"right_expr":{"type":"numeric_atoms","value":1096,"base":10}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1972,"base":10},"right_expr":{"type":"numeric_atoms","value":5959,"base":10}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1906,"base":10}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":7402,"base":10},"right_expr":{"type":"numeric_atoms","value":1682,"base":10}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":5947,"base":10}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3051,"base":10},"right_expr":{"type":"numeric_atoms","value":5432,"base":10}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2901,"base":10},"right_expr":{"type":"numeric_atoms","value":1696,"base":10}}}}},"used_operators":["Qy55tPpLXF","2DQ55sFlQl","SUmda5xLS4","DyGG3AbaNP","mp7IySMOzn","U7g4x0WXJJ","eewbuw0ToL","xNBdhnnwKq","f6k1SAg4EE","LRNGc0VcxI","7j4O788W3g","tmPS8pqC7x","3ViojmjbAp","rxpJgHHUmx"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2381","layer":4},{"info":"number node, value=1417","layer":4},{"info":"compute binary expreesion, left_input=2381, right_input=1417, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=1128","layer":4},{"info":"number node, value=1096","layer":4},{"info":"compute binary expreesion, left_input=1128, right_input=1096, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2192","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2192, 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=1972","layer":4},{"info":"number node, value=5959","layer":4},{"info":"compute binary expreesion, left_input=1972, right_input=5959, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-3977","layer":3},{"info":"number node, value=1906","layer":4},{"info":"compute unary expreesion, input=1906, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=3812","layer":3},{"info":"compute binary expreesion, left_input=-3977, right_input=3812, 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=3979, 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=7402","layer":4},{"info":"number node, value=1682","layer":4},{"info":"compute binary expreesion, left_input=7402, right_input=1682, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1682","layer":3},{"info":"number node, value=5947","layer":4},{"info":"compute unary expreesion, input=5947, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=11894","layer":3},{"info":"compute binary expreesion, left_input=1682, right_input=11894, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=3051","layer":4},{"info":"number node, value=5432","layer":4},{"info":"compute binary expreesion, left_input=3051, right_input=5432, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5435","layer":3},{"info":"number node, value=2901","layer":4},{"info":"number node, value=1696","layer":4},{"info":"compute binary expreesion, left_input=2901, right_input=1696, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=-5435, 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=5435","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5435, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮2381∼⊺⇮1417⪄⊺⇮1128⇷⊺⇮1096⨵⪆(⊺⇮1972⨰⊺⇮5959)∑⇟⊟(⊺⇮1906⊭∹↮))⋥≓≎((⊺⇮7402↺⊺⇮1682)∀⇚≩(⊺⇮5947⊭∹↮)⪒(⊺⇮3051⨓⊺⇮5432)⨪↰⇹(⊺⇮2901≭⊺⇮1696))=NaN","reverse_text":"NaN=(⊺⇮2381∼⊺⇮1417⪄⊺⇮1128⇷⊺⇮1096⨵⪆(⊺⇮1972⨰⊺⇮5959)∑⇟⊟(⊺⇮1906⊭∹↮))⋥≓≎((⊺⇮7402↺⊺⇮1682)∀⇚≩(⊺⇮5947⊭∹↮)⪒(⊺⇮3051⨓⊺⇮5432)⨪↰⇹(⊺⇮2901≭⊺⇮1696))","cot":[{"info":"⊺⇮2381∼⊺⇮1417=NaN","layer":3},{"info":"⊺⇮1128⇷⊺⇮1096=⊺⇮2192","layer":3},{"info":"NaN⪄⊺⇮2192=⊺⇮3979","layer":2},{"info":"⊺⇮1972⨰⊺⇮5959=⊺⇮-3977","layer":3},{"info":"⊺⇮1906⊭∹↮=⊺⇮3812","layer":3},{"info":"⊺⇮-3977∑⇟⊟⊺⇮3812=NaN","layer":2},{"info":"⊺⇮3979⨵⪆NaN=⊺⇮160","layer":1},{"info":"⊺⇮7402↺⊺⇮1682=⊺⇮1682","layer":3},{"info":"⊺⇮5947⊭∹↮=⊺⇮11894","layer":3},{"info":"⊺⇮1682∀⇚≩⊺⇮11894=NaN","layer":2},{"info":"⊺⇮3051⨓⊺⇮5432=⊺⇮-5435","layer":3},{"info":"⊺⇮2901≭⊺⇮1696=NaN","layer":3},{"info":"⊺⇮-5435⨪↰⇹NaN=⊺⇮5435","layer":2},{"info":"NaN⪒⊺⇮5435=NaN","layer":1},{"info":"⊺⇮160⋥≓≎NaN=NaN","layer":0}]}
{"id":208,"expression_no_base_symbol":"(($2571$⩨$1534$)≧⫂∧(⋗⩬⋾$5912$)+($3914$⋷$4363$)⊭↱$2223$∼$6275$)⋝⋈⪟(↽≂(↣≠⋷($1176$⪠⩆⊳)))","expression":"((⊺⇮2571⩨⊺⇮1534)≧⫂∧(⋗⩬⋾⊺⇮5912)+(⊺⇮3914⋷⊺⇮4363)⊭↱⊺⇮2223∼⊺⇮6275)⋝⋈⪟(↽≂(↣≠⋷(⊺⇮1176⪠⩆⊳)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":79,"operation_count":11,"complexity_ratio":7.181818181818182,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2571,"base":10},"right_expr":{"type":"numeric_atoms","value":1534,"base":10}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":5912,"base":10}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3914,"base":10},"right_expr":{"type":"numeric_atoms","value":4363,"base":10}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2223,"base":10},"right_expr":{"type":"numeric_atoms","value":6275,"base":10}}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1176,"base":10}}}}},"used_operators":["2DDjHMKMc0","W4YGzv6Whe","Ph9nP6C5qx","2DlMacCsIx","DpFCA1CohY","COABgblf1C","23Mk6UjR3U","DyGG3AbaNP","u6S6b8DprG","Asc51vEJeQ","JLbD19bQDL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2571","layer":4},{"info":"number node, value=1534","layer":4},{"info":"compute binary expreesion, left_input=2571, right_input=1534, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=5912","layer":4},{"info":"compute unary expreesion, input=5912, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-17736","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-17736, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=17736","layer":2},{"info":"number node, value=3914","layer":4},{"info":"number node, value=4363","layer":4},{"info":"compute binary expreesion, left_input=3914, right_input=4363, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=4812","layer":3},{"info":"number node, value=2223","layer":4},{"info":"number node, value=6275","layer":4},{"info":"compute binary expreesion, left_input=2223, right_input=6275, 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=4812, 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=17736, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1176","layer":4},{"info":"compute unary expreesion, input=1176, 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 = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((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=nan, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮2571⩨⊺⇮1534)≧⫂∧(⋗⩬⋾⊺⇮5912)+(⊺⇮3914⋷⊺⇮4363)⊭↱⊺⇮2223∼⊺⇮6275)⋝⋈⪟(↽≂(↣≠⋷(⊺⇮1176⪠⩆⊳)))=NaN","reverse_text":"NaN=((⊺⇮2571⩨⊺⇮1534)≧⫂∧(⋗⩬⋾⊺⇮5912)+(⊺⇮3914⋷⊺⇮4363)⊭↱⊺⇮2223∼⊺⇮6275)⋝⋈⪟(↽≂(↣≠⋷(⊺⇮1176⪠⩆⊳)))","cot":[{"info":"⊺⇮2571⩨⊺⇮1534=⊺⇮0","layer":3},{"info":"⋗⩬⋾⊺⇮5912=⊺⇮-17736","layer":3},{"info":"⊺⇮0≧⫂∧⊺⇮-17736=⊺⇮17736","layer":2},{"info":"⊺⇮3914⋷⊺⇮4363=⊺⇮4812","layer":3},{"info":"⊺⇮2223∼⊺⇮6275=NaN","layer":3},{"info":"⊺⇮4812⊭↱NaN=NaN","layer":2},{"info":"⊺⇮17736+NaN=NaN","layer":1},{"info":"⊺⇮1176⪠⩆⊳=⊺⇮0","layer":3},{"info":"↣≠⋷⊺⇮0=NaN","layer":2},{"info":"↽≂NaN=NaN","layer":1},{"info":"NaN⋝⋈⪟NaN=NaN","layer":0}]}
{"id":209,"expression_no_base_symbol":"($1508$/$1696$)⨟⋌⩍($4931$∀⇚≩$7429$)⨓($6278$⩚⊴⇥$4206$)↬($1462$≭$2218$)⋓((⊄⩳↩($1320$⫸⊐$2118$))⇼⇔∾$1405$⪮%⊝$1024$∀⇚≩($2965$⩷∴$3092$))","expression":"(⊺⇮1508/⊺⇮1696)⨟⋌⩍(⊺⇮4931∀⇚≩⊺⇮7429)⨓(⊺⇮6278⩚⊴⇥⊺⇮4206)↬(⊺⇮1462≭⊺⇮2218)⋓((⊄⩳↩(⊺⇮1320⫸⊐⊺⇮2118))⇼⇔∾⊺⇮1405⪮%⊝⊺⇮1024∀⇚≩(⊺⇮2965⩷∴⊺⇮3092))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":56470,"operation_count":14,"complexity_ratio":4033.5714285714284,"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":1508,"base":10},"right_expr":{"type":"numeric_atoms","value":1696,"base":10}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4931,"base":10},"right_expr":{"type":"numeric_atoms","value":7429,"base":10}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":6278,"base":10},"right_expr":{"type":"numeric_atoms","value":4206,"base":10}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1462,"base":10},"right_expr":{"type":"numeric_atoms","value":2218,"base":10}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1320,"base":10},"right_expr":{"type":"numeric_atoms","value":2118,"base":10}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1405,"base":10},"right_expr":{"type":"numeric_atoms","value":1024,"base":10}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2965,"base":10},"right_expr":{"type":"numeric_atoms","value":3092,"base":10}}}}},"used_operators":["T2fj7uvVaJ","3ViojmjbAp","rGHVDoGpnC","XhwjNDsVaA","LRNGc0VcxI","B5M0gjZbta","NTOWxs364D","rxpJgHHUmx","tifHPKVTfV","8w2t5hMYqp","mqXw5SEYmG","IWmyXbctLI","9FxExcQeMw"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","Tcnh7f0tEr","rysDP5nf3Z","X99M06cbEe","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1508","layer":4},{"info":"number node, value=1696","layer":4},{"info":"compute binary expreesion, left_input=1508, right_input=1696, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=4931","layer":4},{"info":"number node, value=7429","layer":4},{"info":"compute binary expreesion, left_input=4931, right_input=7429, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=6278","layer":4},{"info":"number node, value=4206","layer":4},{"info":"compute binary expreesion, left_input=6278, right_input=4206, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-10605","layer":3},{"info":"number node, value=1462","layer":4},{"info":"number node, value=2218","layer":4},{"info":"compute binary expreesion, left_input=1462, right_input=2218, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=-10605, 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 = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"number node, value=1320","layer":4},{"info":"number node, value=2118","layer":4},{"info":"compute binary expreesion, left_input=1320, right_input=2118, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=8347","layer":3},{"info":"compute unary expreesion, input=8347, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-25041","layer":2},{"info":"number node, value=1405","layer":4},{"info":"number node, value=1024","layer":4},{"info":"compute binary expreesion, left_input=1405, right_input=1024, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3126","layer":3},{"info":"number node, value=2965","layer":4},{"info":"number node, value=3092","layer":4},{"info":"compute binary expreesion, left_input=2965, right_input=3092, 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=3126, right_input=-286, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=-25041, 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 = T2fj7uvVaJ 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":10,"result_base":10,"text":"(⊺⇮1508/⊺⇮1696)⨟⋌⩍(⊺⇮4931∀⇚≩⊺⇮7429)⨓(⊺⇮6278⩚⊴⇥⊺⇮4206)↬(⊺⇮1462≭⊺⇮2218)⋓((⊄⩳↩(⊺⇮1320⫸⊐⊺⇮2118))⇼⇔∾⊺⇮1405⪮%⊝⊺⇮1024∀⇚≩(⊺⇮2965⩷∴⊺⇮3092))=NaN","reverse_text":"NaN=(⊺⇮1508/⊺⇮1696)⨟⋌⩍(⊺⇮4931∀⇚≩⊺⇮7429)⨓(⊺⇮6278⩚⊴⇥⊺⇮4206)↬(⊺⇮1462≭⊺⇮2218)⋓((⊄⩳↩(⊺⇮1320⫸⊐⊺⇮2118))⇼⇔∾⊺⇮1405⪮%⊝⊺⇮1024∀⇚≩(⊺⇮2965⩷∴⊺⇮3092))","cot":[{"info":"⊺⇮1508/⊺⇮1696=⊺⇮0","layer":3},{"info":"⊺⇮4931∀⇚≩⊺⇮7429=NaN","layer":3},{"info":"⊺⇮0⨟⋌⩍NaN=NaN","layer":2},{"info":"⊺⇮6278⩚⊴⇥⊺⇮4206=⊺⇮-10605","layer":3},{"info":"⊺⇮1462≭⊺⇮2218=NaN","layer":3},{"info":"⊺⇮-10605↬NaN=NaN","layer":2},{"info":"NaN⨓NaN=NaN","layer":1},{"info":"⊺⇮1320⫸⊐⊺⇮2118=⊺⇮8347","layer":3},{"info":"⊄⩳↩⊺⇮8347=⊺⇮-25041","layer":2},{"info":"⊺⇮1405⪮%⊝⊺⇮1024=⊺⇮3126","layer":3},{"info":"⊺⇮2965⩷∴⊺⇮3092=⊺⇮-286","layer":3},{"info":"⊺⇮3126∀⇚≩⊺⇮-286=NaN","layer":2},{"info":"⊺⇮-25041⇼⇔∾NaN=NaN","layer":1},{"info":"NaN⋓NaN=NaN","layer":0}]}
{"id":210,"expression_no_base_symbol":"($2496$⨓$2239$%($1037$⩠)⪨≂(↥$4091$∑⇟⊟$2693$))∀⇚≩($2475$≹⇙⪍$1845$≧⫂∧($1614$↛⩡⫤))↬($5377$+⇶⊼$1628$⊭↱(⪝⪂⫅$7613$))","expression":"(⊺⇮2496⨓⊺⇮2239%(⊺⇮1037⩠)⪨≂(↥⊺⇮4091∑⇟⊟⊺⇮2693))∀⇚≩(⊺⇮2475≹⇙⪍⊺⇮1845≧⫂∧(⊺⇮1614↛⩡⫤))↬(⊺⇮5377+⇶⊼⊺⇮1628⊭↱(⪝⪂⫅⊺⇮7613))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":7409,"operation_count":14,"complexity_ratio":529.2142857142857,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2496,"base":10},"right_expr":{"type":"numeric_atoms","value":2239,"base":10}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1037,"base":10}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":4091,"base":10},"right_expr":{"type":"numeric_atoms","value":2693,"base":10}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2475,"base":10},"right_expr":{"type":"numeric_atoms","value":1845,"base":10}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1614,"base":10}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":5377,"base":10},"right_expr":{"type":"numeric_atoms","value":1628,"base":10}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":7613,"base":10}}}}},"used_operators":["LRNGc0VcxI","sdazOOVcIp","k8jYdgA6NY","3ViojmjbAp","sJAwomhLZr","A8NUZmVepG","U7g4x0WXJJ","B5M0gjZbta","Ph9nP6C5qx","AHs5Up7iyr","FU0Cs4j7VP","COABgblf1C","TpPTUOHfaN","XTarYq4gQB"],"dependent_operators":["X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","k8jYdgA6NY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","9HNa5Wba9A","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2496","layer":4},{"info":"number node, value=2239","layer":4},{"info":"compute binary expreesion, left_input=2496, right_input=2239, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2242","layer":3},{"info":"number node, value=1037","layer":4},{"info":"compute unary expreesion, input=1037, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-2242, right_input=0, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=4091","layer":4},{"info":"number node, value=2693","layer":4},{"info":"compute binary expreesion, left_input=4091, right_input=2693, 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 = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', 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=2475","layer":4},{"info":"number node, value=1845","layer":4},{"info":"compute binary expreesion, left_input=2475, right_input=1845, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1614","layer":4},{"info":"compute unary expreesion, input=1614, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-239803","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-239803, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":2},{"info":"number node, value=5377","layer":4},{"info":"number node, value=1628","layer":4},{"info":"compute binary expreesion, left_input=5377, right_input=1628, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=7613","layer":4},{"info":"compute unary expreesion, input=7613, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-1119111","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1119111, 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 = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":10,"result_base":10,"text":"(⊺⇮2496⨓⊺⇮2239%(⊺⇮1037⩠)⪨≂(↥⊺⇮4091∑⇟⊟⊺⇮2693))∀⇚≩(⊺⇮2475≹⇙⪍⊺⇮1845≧⫂∧(⊺⇮1614↛⩡⫤))↬(⊺⇮5377+⇶⊼⊺⇮1628⊭↱(⪝⪂⫅⊺⇮7613))=NaN","reverse_text":"NaN=(⊺⇮2496⨓⊺⇮2239%(⊺⇮1037⩠)⪨≂(↥⊺⇮4091∑⇟⊟⊺⇮2693))∀⇚≩(⊺⇮2475≹⇙⪍⊺⇮1845≧⫂∧(⊺⇮1614↛⩡⫤))↬(⊺⇮5377+⇶⊼⊺⇮1628⊭↱(⪝⪂⫅⊺⇮7613))","cot":[{"info":"⊺⇮2496⨓⊺⇮2239=⊺⇮-2242","layer":3},{"info":"⊺⇮1037⩠=⊺⇮0","layer":3},{"info":"⊺⇮-2242%⊺⇮0=NaN","layer":2},{"info":"⊺⇮4091∑⇟⊟⊺⇮2693=NaN","layer":3},{"info":"↥NaN=NaN","layer":2},{"info":"NaN⪨≂NaN=NaN","layer":1},{"info":"⊺⇮2475≹⇙⪍⊺⇮1845=NaN","layer":3},{"info":"⊺⇮1614↛⩡⫤=⊺⇮-239803","layer":3},{"info":"NaN≧⫂∧⊺⇮-239803=NaN","layer":2},{"info":"⊺⇮5377+⇶⊼⊺⇮1628=NaN","layer":3},{"info":"⪝⪂⫅⊺⇮7613=⊺⇮-1119111","layer":3},{"info":"NaN⊭↱⊺⇮-1119111=NaN","layer":2},{"info":"NaN↬NaN=NaN","layer":1},{"info":"NaN∀⇚≩NaN=NaN","layer":0}]}
{"id":211,"expression_no_base_symbol":"⨑⩽⪐(⨰⫟⨤($4736$⇷$3459$)⪮%⊝($4781$∑⇟⊟$1234$))","expression":"⨑⩽⪐(⨰⫟⨤(⊺⇮4736⇷⊺⇮3459)⪮%⊝(⊺⇮4781∑⇟⊟⊺⇮1234))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":66356,"operation_count":5,"complexity_ratio":13271.2,"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":4736,"base":10},"right_expr":{"type":"numeric_atoms","value":3459,"base":10}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":4781,"base":10},"right_expr":{"type":"numeric_atoms","value":1234,"base":10}}}}},"used_operators":["AF7qkfDlqP","Tw270M8GLb","IWmyXbctLI","mp7IySMOzn","U7g4x0WXJJ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=4736","layer":4},{"info":"number node, value=3459","layer":4},{"info":"compute binary expreesion, left_input=4736, right_input=3459, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6918","layer":3},{"info":"number node, value=4781","layer":4},{"info":"number node, value=1234","layer":4},{"info":"compute binary expreesion, left_input=4781, right_input=1234, 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=6918, 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 = 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 = 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":10,"result_base":10,"text":"⨑⩽⪐(⨰⫟⨤(⊺⇮4736⇷⊺⇮3459)⪮%⊝(⊺⇮4781∑⇟⊟⊺⇮1234))=NaN","reverse_text":"NaN=⨑⩽⪐(⨰⫟⨤(⊺⇮4736⇷⊺⇮3459)⪮%⊝(⊺⇮4781∑⇟⊟⊺⇮1234))","cot":[{"info":"⊺⇮4736⇷⊺⇮3459=⊺⇮6918","layer":3},{"info":"⊺⇮4781∑⇟⊟⊺⇮1234=NaN","layer":3},{"info":"⊺⇮6918⪮%⊝NaN=NaN","layer":2},{"info":"⨰⫟⨤NaN=NaN","layer":1},{"info":"⨑⩽⪐NaN=NaN","layer":0}]}
{"id":212,"expression_no_base_symbol":"(⨵≀≌($3313$⩚⊴⇥$4191$%(↥$2799$)))⩤","expression":"(⨵≀≌(⊺⇮3313⩚⊴⇥⊺⇮4191%(↥⊺⇮2799)))⩤","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":255,"operation_count":5,"complexity_ratio":51.0,"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":3313,"base":10},"right_expr":{"type":"numeric_atoms","value":4191,"base":10}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2799,"base":10}}}}},"used_operators":["Z2TMIBDE3Q","srAu1WTS94","k8jYdgA6NY","NTOWxs364D","A8NUZmVepG"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","k8jYdgA6NY"],"result":"⊺⇮-625","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3313","layer":4},{"info":"number node, value=4191","layer":4},{"info":"compute binary expreesion, left_input=3313, right_input=4191, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7625","layer":3},{"info":"number node, value=2799","layer":4},{"info":"compute unary expreesion, input=2799, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=45","layer":3},{"info":"compute binary expreesion, left_input=-7625, right_input=45, op_id = k8jYdgA6NY binary_op_definition= 'None', output=25","layer":2},{"info":"compute unary expreesion, input=25, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=625","layer":1},{"info":"compute unary expreesion, input=625, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-625","layer":0}],"base":10,"result_base":10,"text":"(⨵≀≌(⊺⇮3313⩚⊴⇥⊺⇮4191%(↥⊺⇮2799)))⩤=⊺⇮-625","reverse_text":"⊺⇮-625=(⨵≀≌(⊺⇮3313⩚⊴⇥⊺⇮4191%(↥⊺⇮2799)))⩤","cot":[{"info":"⊺⇮3313⩚⊴⇥⊺⇮4191=⊺⇮-7625","layer":3},{"info":"↥⊺⇮2799=⊺⇮45","layer":3},{"info":"⊺⇮-7625%⊺⇮45=⊺⇮25","layer":2},{"info":"⨵≀≌⊺⇮25=⊺⇮625","layer":1},{"info":"⊺⇮625⩤=⊺⇮-625","layer":0}]}
{"id":213,"expression_no_base_symbol":"(($3670$≭$6572$)⇋≉)⋷(($1078$⪄$2180$)≦≮≮)⫡⨏(($2950$≹⇙⪍$4111$↪⪝)/((⫛⫱⨽$1012$)⪐))","expression":"((⊺⇮3670≭⊺⇮6572)⇋≉)⋷((⊺⇮1078⪄⊺⇮2180)≦≮≮)⫡⨏((⊺⇮2950≹⇙⪍⊺⇮4111↪⪝)/((⫛⫱⨽⊺⇮1012)⪐))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1542,"operation_count":11,"complexity_ratio":140.1818181818182,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3670,"base":10},"right_expr":{"type":"numeric_atoms","value":6572,"base":10}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1078,"base":10},"right_expr":{"type":"numeric_atoms","value":2180,"base":10}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2950,"base":10},"right_expr":{"type":"numeric_atoms","value":4111,"base":10}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1012,"base":10}}}}},"used_operators":["QMFrweE19q","23Mk6UjR3U","XIabStNQrY","rxpJgHHUmx","D4vGDi5EA2","SUmda5xLS4","XhwjNDsVaA","l07mrZUIn9","AHs5Up7iyr","eH2TOUuTDT","DlLNRPXxWL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","9HNa5Wba9A","2DDjHMKMc0","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3670","layer":4},{"info":"number node, value=6572","layer":4},{"info":"compute binary expreesion, left_input=3670, right_input=6572, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=1078","layer":4},{"info":"number node, value=2180","layer":4},{"info":"compute binary expreesion, left_input=1078, right_input=2180, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-164353","layer":3},{"info":"compute unary expreesion, input=-164353, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=493059","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=493059, 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=2950","layer":4},{"info":"number node, value=4111","layer":4},{"info":"compute binary expreesion, left_input=2950, right_input=4111, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=nan","layer":2},{"info":"number node, value=1012","layer":4},{"info":"compute unary expreesion, input=1012, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮3670≭⊺⇮6572)⇋≉)⋷((⊺⇮1078⪄⊺⇮2180)≦≮≮)⫡⨏((⊺⇮2950≹⇙⪍⊺⇮4111↪⪝)/((⫛⫱⨽⊺⇮1012)⪐))=NaN","reverse_text":"NaN=((⊺⇮3670≭⊺⇮6572)⇋≉)⋷((⊺⇮1078⪄⊺⇮2180)≦≮≮)⫡⨏((⊺⇮2950≹⇙⪍⊺⇮4111↪⪝)/((⫛⫱⨽⊺⇮1012)⪐))","cot":[{"info":"⊺⇮3670≭⊺⇮6572=NaN","layer":3},{"info":"NaN⇋≉=NaN","layer":2},{"info":"⊺⇮1078⪄⊺⇮2180=⊺⇮-164353","layer":3},{"info":"⊺⇮-164353≦≮≮=⊺⇮493059","layer":2},{"info":"NaN⋷⊺⇮493059=NaN","layer":1},{"info":"⊺⇮2950≹⇙⪍⊺⇮4111=NaN","layer":3},{"info":"NaN↪⪝=NaN","layer":2},{"info":"⫛⫱⨽⊺⇮1012=⊺⇮0","layer":3},{"info":"⊺⇮0⪐=⊺⇮0","layer":2},{"info":"NaN/⊺⇮0=NaN","layer":1},{"info":"NaN⫡⨏NaN=NaN","layer":0}]}
{"id":214,"expression_no_base_symbol":"($6648$∑⇟⊟$7908$⫥∨⫟($1915$↺$4853$))⨟⋌⩍($4258$⨪↰⇹$1006$⪄$3004$⩚⊴⇥$2164$)⨸⪁((≤/$1026$)⨐⩸⫘(≦∁$2723$))⨪↰⇹((↩$3475$)/(↩$4096$))","expression":"(⊺⇮6648∑⇟⊟⊺⇮7908⫥∨⫟(⊺⇮1915↺⊺⇮4853))⨟⋌⩍(⊺⇮4258⨪↰⇹⊺⇮1006⪄⊺⇮3004⩚⊴⇥⊺⇮2164)⨸⪁((≤/⊺⇮1026)⨐⩸⫘(≦∁⊺⇮2723))⨪↰⇹((↩⊺⇮3475)/(↩⊺⇮4096))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":4553,"operation_count":15,"complexity_ratio":303.53333333333336,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":6648,"base":10},"right_expr":{"type":"numeric_atoms","value":7908,"base":10}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1915,"base":10},"right_expr":{"type":"numeric_atoms","value":4853,"base":10}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4258,"base":10},"right_expr":{"type":"numeric_atoms","value":1006,"base":10}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3004,"base":10},"right_expr":{"type":"numeric_atoms","value":2164,"base":10}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1026,"base":10}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2723,"base":10}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":3475,"base":10}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":4096,"base":10}}}}},"used_operators":["g55IO6H4Gj","rGHVDoGpnC","KYD54nUTWz","U7g4x0WXJJ","7j4O788W3g","SUmda5xLS4","tmPS8pqC7x","NTOWxs364D","fu6greOZ01","eLAdDNolq6","9ICcGScMcE","XhwjNDsVaA","jLgFTUHLKL"],"dependent_operators":["W4YGzv6Whe","Tcnh7f0tEr","8HhzD0ZcuI","rGHVDoGpnC","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","3ViojmjbAp","rysDP5nf3Z","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6648","layer":4},{"info":"number node, value=7908","layer":4},{"info":"compute binary expreesion, left_input=6648, right_input=7908, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1915","layer":4},{"info":"number node, value=4853","layer":4},{"info":"compute binary expreesion, left_input=1915, right_input=4853, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4853","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4853, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=4258","layer":4},{"info":"number node, value=1006","layer":4},{"info":"compute binary expreesion, left_input=4258, right_input=1006, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=4258","layer":3},{"info":"number node, value=3004","layer":4},{"info":"number node, value=2164","layer":4},{"info":"compute binary expreesion, left_input=3004, right_input=2164, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5289","layer":3},{"info":"compute binary expreesion, left_input=4258, right_input=-5289, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-605117","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-605117, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=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=2723","layer":4},{"info":"compute unary expreesion, input=2723, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2723","layer":3},{"info":"compute binary expreesion, left_input=-542, right_input=2723, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=3475","layer":4},{"info":"compute unary expreesion, input=3475, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-25020","layer":3},{"info":"number node, value=4096","layer":4},{"info":"compute unary expreesion, input=4096, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-29988","layer":3},{"info":"compute binary expreesion, left_input=-25020, right_input=-29988, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"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":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":10,"result_base":10,"text":"(⊺⇮6648∑⇟⊟⊺⇮7908⫥∨⫟(⊺⇮1915↺⊺⇮4853))⨟⋌⩍(⊺⇮4258⨪↰⇹⊺⇮1006⪄⊺⇮3004⩚⊴⇥⊺⇮2164)⨸⪁((≤/⊺⇮1026)⨐⩸⫘(≦∁⊺⇮2723))⨪↰⇹((↩⊺⇮3475)/(↩⊺⇮4096))=NaN","reverse_text":"NaN=(⊺⇮6648∑⇟⊟⊺⇮7908⫥∨⫟(⊺⇮1915↺⊺⇮4853))⨟⋌⩍(⊺⇮4258⨪↰⇹⊺⇮1006⪄⊺⇮3004⩚⊴⇥⊺⇮2164)⨸⪁((≤/⊺⇮1026)⨐⩸⫘(≦∁⊺⇮2723))⨪↰⇹((↩⊺⇮3475)/(↩⊺⇮4096))","cot":[{"info":"⊺⇮6648∑⇟⊟⊺⇮7908=NaN","layer":3},{"info":"⊺⇮1915↺⊺⇮4853=⊺⇮4853","layer":3},{"info":"NaN⫥∨⫟⊺⇮4853=NaN","layer":2},{"info":"⊺⇮4258⨪↰⇹⊺⇮1006=⊺⇮4258","layer":3},{"info":"⊺⇮3004⩚⊴⇥⊺⇮2164=⊺⇮-5289","layer":3},{"info":"⊺⇮4258⪄⊺⇮-5289=⊺⇮-605117","layer":2},{"info":"NaN⨟⋌⩍⊺⇮-605117=NaN","layer":1},{"info":"≤/⊺⇮1026=⊺⇮-542","layer":3},{"info":"≦∁⊺⇮2723=⊺⇮2723","layer":3},{"info":"⊺⇮-542⨐⩸⫘⊺⇮2723=NaN","layer":2},{"info":"↩⊺⇮3475=⊺⇮-25020","layer":3},{"info":"↩⊺⇮4096=⊺⇮-29988","layer":3},{"info":"⊺⇮-25020/⊺⇮-29988=⊺⇮0","layer":2},{"info":"NaN⨪↰⇹⊺⇮0=NaN","layer":1},{"info":"NaN⨸⪁NaN=NaN","layer":0}]}
{"id":215,"expression_no_base_symbol":"(($4491$⊘)⨽($2637$%$1314$))⊴($1913$⨎$8223$⊉≛↸($1011$⪒$1353$))⨪↰⇹((⊥$4349$)≹⇙⪍(↥$1482$)+(↔$3669$)⨽($4311$⪒$1934$))","expression":"((⊺⇮4491⊘)⨽(⊺⇮2637%⊺⇮1314))⊴(⊺⇮1913⨎⊺⇮8223⊉≛↸(⊺⇮1011⪒⊺⇮1353))⨪↰⇹((⊥⊺⇮4349)≹⇙⪍(↥⊺⇮1482)+(↔⊺⇮3669)⨽(⊺⇮4311⪒⊺⇮1934))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":19945,"operation_count":15,"complexity_ratio":1329.6666666666667,"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":4491,"base":10}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2637,"base":10},"right_expr":{"type":"numeric_atoms","value":1314,"base":10}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1913,"base":10},"right_expr":{"type":"numeric_atoms","value":8223,"base":10}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1011,"base":10},"right_expr":{"type":"numeric_atoms","value":1353,"base":10}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":4349,"base":10}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1482,"base":10}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":3669,"base":10}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":4311,"base":10},"right_expr":{"type":"numeric_atoms","value":1934,"base":10}}}}},"used_operators":["tmPS8pqC7x","Nsiff2A1zJ","8HhzD0ZcuI","gu96TGCTMs","k8jYdgA6NY","DZ8iAZOCBD","rJVOvQCfKK","f6k1SAg4EE","W4YGzv6Whe","AHs5Up7iyr","Q3PJZHRvZv","A8NUZmVepG","ruOEQAzv1W"],"dependent_operators":["rJVOvQCfKK","dWAJyo7jo9","14qkJME0vr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","fu6greOZ01","k8jYdgA6NY","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4491","layer":4},{"info":"compute unary expreesion, input=4491, 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=2637","layer":4},{"info":"number node, value=1314","layer":4},{"info":"compute binary expreesion, left_input=2637, right_input=1314, op_id = k8jYdgA6NY binary_op_definition= 'None', output=9","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=9, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=1287","layer":2},{"info":"number node, value=1913","layer":4},{"info":"number node, value=8223","layer":4},{"info":"compute binary expreesion, left_input=1913, right_input=8223, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=8223","layer":3},{"info":"number node, value=1011","layer":4},{"info":"number node, value=1353","layer":4},{"info":"compute binary expreesion, left_input=1011, right_input=1353, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2364","layer":3},{"info":"compute binary expreesion, left_input=8223, right_input=-2364, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=16446","layer":2},{"info":"compute binary expreesion, left_input=1287, right_input=16446, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=4349","layer":4},{"info":"compute unary expreesion, input=4349, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=1482","layer":4},{"info":"compute unary expreesion, input=1482, 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 = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=3669","layer":4},{"info":"compute unary expreesion, input=3669, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3396","layer":3},{"info":"number node, value=4311","layer":4},{"info":"number node, value=1934","layer":4},{"info":"compute binary expreesion, left_input=4311, right_input=1934, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6245","layer":3},{"info":"compute binary expreesion, left_input=-3396, right_input=-6245, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-34578399","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-34578399, op_id = W4YGzv6Whe binary_op_definition= 'None', 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":10,"result_base":10,"text":"((⊺⇮4491⊘)⨽(⊺⇮2637%⊺⇮1314))⊴(⊺⇮1913⨎⊺⇮8223⊉≛↸(⊺⇮1011⪒⊺⇮1353))⨪↰⇹((⊥⊺⇮4349)≹⇙⪍(↥⊺⇮1482)+(↔⊺⇮3669)⨽(⊺⇮4311⪒⊺⇮1934))=NaN","reverse_text":"NaN=((⊺⇮4491⊘)⨽(⊺⇮2637%⊺⇮1314))⊴(⊺⇮1913⨎⊺⇮8223⊉≛↸(⊺⇮1011⪒⊺⇮1353))⨪↰⇹((⊥⊺⇮4349)≹⇙⪍(↥⊺⇮1482)+(↔⊺⇮3669)⨽(⊺⇮4311⪒⊺⇮1934))","cot":[{"info":"⊺⇮4491⊘=⊺⇮0","layer":3},{"info":"⊺⇮2637%⊺⇮1314=⊺⇮9","layer":3},{"info":"⊺⇮0⨽⊺⇮9=⊺⇮1287","layer":2},{"info":"⊺⇮1913⨎⊺⇮8223=⊺⇮8223","layer":3},{"info":"⊺⇮1011⪒⊺⇮1353=⊺⇮-2364","layer":3},{"info":"⊺⇮8223⊉≛↸⊺⇮-2364=⊺⇮16446","layer":2},{"info":"⊺⇮1287⊴⊺⇮16446=NaN","layer":1},{"info":"⊥⊺⇮4349=NaN","layer":3},{"info":"↥⊺⇮1482=⊺⇮3","layer":3},{"info":"NaN≹⇙⪍⊺⇮3=NaN","layer":2},{"info":"↔⊺⇮3669=⊺⇮-3396","layer":3},{"info":"⊺⇮4311⪒⊺⇮1934=⊺⇮-6245","layer":3},{"info":"⊺⇮-3396⨽⊺⇮-6245=⊺⇮-34578399","layer":2},{"info":"NaN+⊺⇮-34578399=NaN","layer":1},{"info":"NaN⨪↰⇹NaN=NaN","layer":0}]}
{"id":216,"expression_no_base_symbol":"(($6025$⋥≓≎$3394$⫡⨏$3417$%$3017$)⊉≛↸(-$2749$)⊴($2553$⨪↰⇹$2798$))∀⇚≩(($2546$⪮%⊝$7227$⊠≄⫣)⨳⩥⨓((↩$3225$)⪨≂($3526$∧)))","expression":"((⊺⇮6025⋥≓≎⊺⇮3394⫡⨏⊺⇮3417%⊺⇮3017)⊉≛↸(-⊺⇮2749)⊴(⊺⇮2553⨪↰⇹⊺⇮2798))∀⇚≩((⊺⇮2546⪮%⊝⊺⇮7227⊠≄⫣)⨳⩥⨓((↩⊺⇮3225)⪨≂(⊺⇮3526∧)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":87209,"operation_count":14,"complexity_ratio":6229.214285714285,"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":6025,"base":10},"right_expr":{"type":"numeric_atoms","value":3394,"base":10}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3417,"base":10},"right_expr":{"type":"numeric_atoms","value":3017,"base":10}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":2749,"base":10}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2553,"base":10},"right_expr":{"type":"numeric_atoms","value":2798,"base":10}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2546,"base":10},"right_expr":{"type":"numeric_atoms","value":7227,"base":10}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":3225,"base":10}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":3526,"base":10}}}}},"used_operators":["LRNGc0VcxI","DZ8iAZOCBD","QMFrweE19q","Qy55tPpLXF","k8jYdgA6NY","Nsiff2A1zJ","t8gj7n24qd","tmPS8pqC7x","nCS4ZIUYfx","DIvbN7qnHd","IWmyXbctLI","sdazOOVcIp","jLgFTUHLKL","z63VuFQld9"],"dependent_operators":["X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6025","layer":4},{"info":"number node, value=3394","layer":4},{"info":"compute binary expreesion, left_input=6025, right_input=3394, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=796","layer":3},{"info":"number node, value=3417","layer":4},{"info":"number node, value=3017","layer":4},{"info":"compute binary expreesion, left_input=3417, right_input=3017, op_id = k8jYdgA6NY binary_op_definition= 'None', output=400","layer":3},{"info":"compute binary expreesion, left_input=796, right_input=400, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=5563","layer":2},{"info":"number node, value=2749","layer":4},{"info":"compute unary expreesion, input=2749, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2749","layer":3},{"info":"number node, value=2553","layer":4},{"info":"number node, value=2798","layer":4},{"info":"compute binary expreesion, left_input=2553, right_input=2798, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2553","layer":3},{"info":"compute binary expreesion, left_input=-2749, right_input=2553, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=5563, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=11126","layer":1},{"info":"number node, value=2546","layer":4},{"info":"number node, value=7227","layer":4},{"info":"compute binary expreesion, left_input=2546, right_input=7227, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5408","layer":3},{"info":"compute unary expreesion, input=5408, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"number node, value=3225","layer":4},{"info":"compute unary expreesion, input=3225, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-23020","layer":3},{"info":"number node, value=3526","layer":4},{"info":"compute unary expreesion, input=3526, 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=-23020, 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=0, 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=11126, 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":10,"result_base":10,"text":"((⊺⇮6025⋥≓≎⊺⇮3394⫡⨏⊺⇮3417%⊺⇮3017)⊉≛↸(-⊺⇮2749)⊴(⊺⇮2553⨪↰⇹⊺⇮2798))∀⇚≩((⊺⇮2546⪮%⊝⊺⇮7227⊠≄⫣)⨳⩥⨓((↩⊺⇮3225)⪨≂(⊺⇮3526∧)))=NaN","reverse_text":"NaN=((⊺⇮6025⋥≓≎⊺⇮3394⫡⨏⊺⇮3417%⊺⇮3017)⊉≛↸(-⊺⇮2749)⊴(⊺⇮2553⨪↰⇹⊺⇮2798))∀⇚≩((⊺⇮2546⪮%⊝⊺⇮7227⊠≄⫣)⨳⩥⨓((↩⊺⇮3225)⪨≂(⊺⇮3526∧)))","cot":[{"info":"⊺⇮6025⋥≓≎⊺⇮3394=⊺⇮796","layer":3},{"info":"⊺⇮3417%⊺⇮3017=⊺⇮400","layer":3},{"info":"⊺⇮796⫡⨏⊺⇮400=⊺⇮5563","layer":2},{"info":"-⊺⇮2749=⊺⇮-2749","layer":3},{"info":"⊺⇮2553⨪↰⇹⊺⇮2798=⊺⇮2553","layer":3},{"info":"⊺⇮-2749⊴⊺⇮2553=NaN","layer":2},{"info":"⊺⇮5563⊉≛↸NaN=⊺⇮11126","layer":1},{"info":"⊺⇮2546⪮%⊝⊺⇮7227=⊺⇮5408","layer":3},{"info":"⊺⇮5408⊠≄⫣=⊺⇮0","layer":2},{"info":"↩⊺⇮3225=⊺⇮-23020","layer":3},{"info":"⊺⇮3526∧=NaN","layer":3},{"info":"⊺⇮-23020⪨≂NaN=NaN","layer":2},{"info":"⊺⇮0⨳⩥⨓NaN=NaN","layer":1},{"info":"⊺⇮11126∀⇚≩NaN=NaN","layer":0}]}
{"id":217,"expression_no_base_symbol":"($1192$≹⇙⪍$1074$⪨≂$2400$⊉≛↸$3786$)⪢((↣≠⋷$3992$)⋓$3483$⪢$5116$)⨰(⨑⩽⪐($5037$⨪↰⇹$1804$≋⫹))","expression":"(⊺⇮1192≹⇙⪍⊺⇮1074⪨≂⊺⇮2400⊉≛↸⊺⇮3786)⪢((↣≠⋷⊺⇮3992)⋓⊺⇮3483⪢⊺⇮5116)⨰(⨑⩽⪐(⊺⇮5037⨪↰⇹⊺⇮1804≋⫹))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":10194,"operation_count":11,"complexity_ratio":926.7272727272727,"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":1192,"base":10},"right_expr":{"type":"numeric_atoms","value":1074,"base":10}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2400,"base":10},"right_expr":{"type":"numeric_atoms","value":3786,"base":10}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":3992,"base":10}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3483,"base":10},"right_expr":{"type":"numeric_atoms","value":5116,"base":10}}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":5037,"base":10},"right_expr":{"type":"numeric_atoms","value":1804,"base":10}}}}},"used_operators":["eewbuw0ToL","dWAJyo7jo9","sdazOOVcIp","AHs5Up7iyr","DZ8iAZOCBD","T2fj7uvVaJ","Asc51vEJeQ","AF7qkfDlqP","N41Kp7NANJ","tmPS8pqC7x"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1192","layer":4},{"info":"number node, value=1074","layer":4},{"info":"compute binary expreesion, left_input=1192, right_input=1074, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=2400","layer":4},{"info":"number node, value=3786","layer":4},{"info":"compute binary expreesion, left_input=2400, right_input=3786, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4800","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4800, op_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=3992","layer":4},{"info":"compute unary expreesion, input=3992, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=3483","layer":4},{"info":"number node, value=5116","layer":4},{"info":"compute binary expreesion, left_input=3483, right_input=5116, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = T2fj7uvVaJ 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 = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=5037","layer":4},{"info":"number node, value=1804","layer":4},{"info":"compute binary expreesion, left_input=5037, right_input=1804, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=5037","layer":3},{"info":"compute unary expreesion, input=5037, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-10074","layer":2},{"info":"compute unary expreesion, input=-10074, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=20937","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=20937, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1192≹⇙⪍⊺⇮1074⪨≂⊺⇮2400⊉≛↸⊺⇮3786)⪢((↣≠⋷⊺⇮3992)⋓⊺⇮3483⪢⊺⇮5116)⨰(⨑⩽⪐(⊺⇮5037⨪↰⇹⊺⇮1804≋⫹))=NaN","reverse_text":"NaN=(⊺⇮1192≹⇙⪍⊺⇮1074⪨≂⊺⇮2400⊉≛↸⊺⇮3786)⪢((↣≠⋷⊺⇮3992)⋓⊺⇮3483⪢⊺⇮5116)⨰(⨑⩽⪐(⊺⇮5037⨪↰⇹⊺⇮1804≋⫹))","cot":[{"info":"⊺⇮1192≹⇙⪍⊺⇮1074=NaN","layer":3},{"info":"⊺⇮2400⊉≛↸⊺⇮3786=⊺⇮4800","layer":3},{"info":"NaN⪨≂⊺⇮4800=NaN","layer":2},{"info":"↣≠⋷⊺⇮3992=NaN","layer":3},{"info":"⊺⇮3483⪢⊺⇮5116=NaN","layer":3},{"info":"NaN⋓NaN=NaN","layer":2},{"info":"NaN⪢NaN=NaN","layer":1},{"info":"⊺⇮5037⨪↰⇹⊺⇮1804=⊺⇮5037","layer":3},{"info":"⊺⇮5037≋⫹=⊺⇮-10074","layer":2},{"info":"⨑⩽⪐⊺⇮-10074=⊺⇮20937","layer":1},{"info":"NaN⨰⊺⇮20937=NaN","layer":0}]}
{"id":218,"expression_no_base_symbol":"(($8996$⩨$2090$)↺$8353$∑⇟⊟$3139$)∑⇟⊟($1553$⋓$1847$)⨟⋌⩍($2973$⇷$5044$)⊘","expression":"((⊺⇮8996⩨⊺⇮2090)↺⊺⇮8353∑⇟⊟⊺⇮3139)∑⇟⊟(⊺⇮1553⋓⊺⇮1847)⨟⋌⩍(⊺⇮2973⇷⊺⇮5044)⊘","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":41671,"operation_count":8,"complexity_ratio":5208.875,"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":8996,"base":10},"right_expr":{"type":"numeric_atoms","value":2090,"base":10}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":8353,"base":10},"right_expr":{"type":"numeric_atoms","value":3139,"base":10}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1553,"base":10},"right_expr":{"type":"numeric_atoms","value":1847,"base":10}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2973,"base":10},"right_expr":{"type":"numeric_atoms","value":5044,"base":10}}}}},"used_operators":["gu96TGCTMs","U7g4x0WXJJ","7j4O788W3g","2DlMacCsIx","rGHVDoGpnC","T2fj7uvVaJ","mp7IySMOzn"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","Tcnh7f0tEr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=8996","layer":4},{"info":"number node, value=2090","layer":4},{"info":"compute binary expreesion, left_input=8996, right_input=2090, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=8353","layer":4},{"info":"number node, value=3139","layer":4},{"info":"compute binary expreesion, left_input=8353, right_input=3139, 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 = 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=1553","layer":4},{"info":"number node, value=1847","layer":4},{"info":"compute binary expreesion, left_input=1553, right_input=1847, op_id = T2fj7uvVaJ binary_op_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=2973","layer":4},{"info":"number node, value=5044","layer":4},{"info":"compute binary expreesion, left_input=2973, right_input=5044, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=10088","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=10088, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = 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 = 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":10,"result_base":10,"text":"((⊺⇮8996⩨⊺⇮2090)↺⊺⇮8353∑⇟⊟⊺⇮3139)∑⇟⊟(⊺⇮1553⋓⊺⇮1847)⨟⋌⩍(⊺⇮2973⇷⊺⇮5044)⊘=NaN","reverse_text":"NaN=((⊺⇮8996⩨⊺⇮2090)↺⊺⇮8353∑⇟⊟⊺⇮3139)∑⇟⊟(⊺⇮1553⋓⊺⇮1847)⨟⋌⩍(⊺⇮2973⇷⊺⇮5044)⊘","cot":[{"info":"⊺⇮8996⩨⊺⇮2090=⊺⇮0","layer":3},{"info":"⊺⇮8353∑⇟⊟⊺⇮3139=NaN","layer":3},{"info":"⊺⇮0↺NaN=NaN","layer":2},{"info":"⊺⇮1553⋓⊺⇮1847=⊺⇮0","layer":3},{"info":"⊺⇮2973⇷⊺⇮5044=⊺⇮10088","layer":3},{"info":"⊺⇮0⨟⋌⩍⊺⇮10088=NaN","layer":2},{"info":"NaN∑⇟⊟NaN=NaN","layer":1},{"info":"NaN⊘=NaN","layer":0}]}
{"id":219,"expression_no_base_symbol":"(⨰⫟⨤(($6760$-$6285$)⩚⊴⇥(⨞⊢$7535$)))⨵⪆($1321$⩚⊴⇥$4496$)⪢(∂$4013$)⩨((⊥$6062$)⪨≂(⨵≀≌$1118$))","expression":"(⨰⫟⨤((⊺⇮6760-⊺⇮6285)⩚⊴⇥(⨞⊢⊺⇮7535)))⨵⪆(⊺⇮1321⩚⊴⇥⊺⇮4496)⪢(∂⊺⇮4013)⩨((⊥⊺⇮6062)⪨≂(⨵≀≌⊺⇮1118))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":27637,"operation_count":12,"complexity_ratio":2303.0833333333335,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":6760,"base":10},"right_expr":{"type":"numeric_atoms","value":6285,"base":10}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":7535,"base":10}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1321,"base":10},"right_expr":{"type":"numeric_atoms","value":4496,"base":10}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":4013,"base":10}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":6062,"base":10}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1118,"base":10}}}}},"used_operators":["2DQ55sFlQl","Tw270M8GLb","NTOWxs364D","rysDP5nf3Z","xUOZtlo3hN","2DlMacCsIx","dWAJyo7jo9","Uaa54Peajs","sdazOOVcIp","Q3PJZHRvZv","srAu1WTS94"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","k8jYdgA6NY","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"⊺⇮160","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6760","layer":4},{"info":"number node, value=6285","layer":4},{"info":"compute binary expreesion, left_input=6760, right_input=6285, op_id = rysDP5nf3Z binary_op_definition= 'None', output=475","layer":3},{"info":"number node, value=7535","layer":4},{"info":"compute unary expreesion, input=7535, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-7709","layer":3},{"info":"compute binary expreesion, left_input=475, right_input=-7709, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=7113","layer":2},{"info":"compute unary expreesion, input=7113, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=1321","layer":4},{"info":"number node, value=4496","layer":4},{"info":"compute binary expreesion, left_input=1321, right_input=4496, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5938","layer":3},{"info":"number node, value=4013","layer":4},{"info":"compute unary expreesion, input=4013, 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=-5938, 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=6062","layer":4},{"info":"compute unary expreesion, input=6062, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=1118","layer":4},{"info":"compute unary expreesion, input=1118, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3354","layer":3},{"info":"compute binary expreesion, left_input=nan, 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=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":10,"result_base":10,"text":"(⨰⫟⨤((⊺⇮6760-⊺⇮6285)⩚⊴⇥(⨞⊢⊺⇮7535)))⨵⪆(⊺⇮1321⩚⊴⇥⊺⇮4496)⪢(∂⊺⇮4013)⩨((⊥⊺⇮6062)⪨≂(⨵≀≌⊺⇮1118))=⊺⇮160","reverse_text":"⊺⇮160=(⨰⫟⨤((⊺⇮6760-⊺⇮6285)⩚⊴⇥(⨞⊢⊺⇮7535)))⨵⪆(⊺⇮1321⩚⊴⇥⊺⇮4496)⪢(∂⊺⇮4013)⩨((⊥⊺⇮6062)⪨≂(⨵≀≌⊺⇮1118))","cot":[{"info":"⊺⇮6760-⊺⇮6285=⊺⇮475","layer":3},{"info":"⨞⊢⊺⇮7535=⊺⇮-7709","layer":3},{"info":"⊺⇮475⩚⊴⇥⊺⇮-7709=⊺⇮7113","layer":2},{"info":"⨰⫟⨤⊺⇮7113=NaN","layer":1},{"info":"⊺⇮1321⩚⊴⇥⊺⇮4496=⊺⇮-5938","layer":3},{"info":"∂⊺⇮4013=NaN","layer":3},{"info":"⊺⇮-5938⪢NaN=NaN","layer":2},{"info":"⊥⊺⇮6062=NaN","layer":3},{"info":"⨵≀≌⊺⇮1118=⊺⇮-3354","layer":3},{"info":"NaN⪨≂⊺⇮-3354=NaN","layer":2},{"info":"NaN⩨NaN=NaN","layer":1},{"info":"NaN⨵⪆NaN=⊺⇮160","layer":0}]}
{"id":220,"expression_no_base_symbol":"⪝⪂⫅((⨵≀≌$2824$⇷$2104$)/$2679$⪛$4202$%$3548$⋝⋈⪟$2378$)","expression":"⪝⪂⫅((⨵≀≌⊺⇮2824⇷⊺⇮2104)/⊺⇮2679⪛⊺⇮4202%⊺⇮3548⋝⋈⪟⊺⇮2378)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":39565,"operation_count":7,"complexity_ratio":5652.142857142857,"tree":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2824,"base":10},"right_expr":{"type":"numeric_atoms","value":2104,"base":10}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2679,"base":10},"right_expr":{"type":"numeric_atoms","value":4202,"base":10}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3548,"base":10},"right_expr":{"type":"numeric_atoms","value":2378,"base":10}}}}},"used_operators":["XTarYq4gQB","XhwjNDsVaA","srAu1WTS94","mp7IySMOzn","k8jYdgA6NY","uFcxV4UQCh","2DDjHMKMc0"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮735","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2824","layer":4},{"info":"number node, value=2104","layer":4},{"info":"compute binary expreesion, left_input=2824, right_input=2104, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4208","layer":3},{"info":"compute unary expreesion, input=4208, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-12624","layer":2},{"info":"number node, value=2679","layer":4},{"info":"number node, value=4202","layer":4},{"info":"compute binary expreesion, left_input=2679, right_input=4202, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2679","layer":3},{"info":"number node, value=3548","layer":4},{"info":"number node, value=2378","layer":4},{"info":"compute binary expreesion, left_input=3548, right_input=2378, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3548","layer":3},{"info":"compute binary expreesion, left_input=2679, right_input=3548, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2679","layer":2},{"info":"compute binary expreesion, left_input=-12624, right_input=2679, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-5","layer":1},{"info":"compute unary expreesion, input=-5, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=735","layer":0}],"base":10,"result_base":10,"text":"⪝⪂⫅((⨵≀≌⊺⇮2824⇷⊺⇮2104)/⊺⇮2679⪛⊺⇮4202%⊺⇮3548⋝⋈⪟⊺⇮2378)=⊺⇮735","reverse_text":"⊺⇮735=⪝⪂⫅((⨵≀≌⊺⇮2824⇷⊺⇮2104)/⊺⇮2679⪛⊺⇮4202%⊺⇮3548⋝⋈⪟⊺⇮2378)","cot":[{"info":"⊺⇮2824⇷⊺⇮2104=⊺⇮4208","layer":3},{"info":"⨵≀≌⊺⇮4208=⊺⇮-12624","layer":2},{"info":"⊺⇮2679⪛⊺⇮4202=⊺⇮2679","layer":3},{"info":"⊺⇮3548⋝⋈⪟⊺⇮2378=⊺⇮3548","layer":3},{"info":"⊺⇮2679%⊺⇮3548=⊺⇮2679","layer":2},{"info":"⊺⇮-12624/⊺⇮2679=⊺⇮-5","layer":1},{"info":"⪝⪂⫅⊺⇮-5=⊺⇮735","layer":0}]}
{"id":221,"expression_no_base_symbol":"(≉(⫛⫱⨽($1121$⩤)))↺(⪲⇎($1048$⋝⋈⪟$1137$⊭↱$1499$⩷∴$1038$))","expression":"(≉(⫛⫱⨽(⊺⇮1121⩤)))↺(⪲⇎(⊺⇮1048⋝⋈⪟⊺⇮1137⊭↱⊺⇮1499⩷∴⊺⇮1038))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1444,"operation_count":8,"complexity_ratio":180.5,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1121,"base":10}}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1048,"base":10},"right_expr":{"type":"numeric_atoms","value":1137,"base":10}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1499,"base":10},"right_expr":{"type":"numeric_atoms","value":1038,"base":10}}}}},"used_operators":["7j4O788W3g","e1ybzncUwg","DlLNRPXxWL","Z2TMIBDE3Q","XPYlsWDdGa","COABgblf1C","2DDjHMKMc0","9FxExcQeMw"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⊺⇮-622","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1121","layer":4},{"info":"compute unary expreesion, input=1121, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1121","layer":3},{"info":"compute unary expreesion, input=-1121, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=531","layer":1},{"info":"number node, value=1048","layer":4},{"info":"number node, value=1137","layer":4},{"info":"compute binary expreesion, left_input=1048, right_input=1137, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1048","layer":3},{"info":"number node, value=1499","layer":4},{"info":"number node, value=1038","layer":4},{"info":"compute binary expreesion, left_input=1499, right_input=1038, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=890","layer":3},{"info":"compute binary expreesion, left_input=1048, right_input=890, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-311","layer":2},{"info":"compute unary expreesion, input=-311, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-622","layer":1},{"info":"compute binary expreesion, left_input=531, right_input=-622, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-622","layer":0}],"base":10,"result_base":10,"text":"(≉(⫛⫱⨽(⊺⇮1121⩤)))↺(⪲⇎(⊺⇮1048⋝⋈⪟⊺⇮1137⊭↱⊺⇮1499⩷∴⊺⇮1038))=⊺⇮-622","reverse_text":"⊺⇮-622=(≉(⫛⫱⨽(⊺⇮1121⩤)))↺(⪲⇎(⊺⇮1048⋝⋈⪟⊺⇮1137⊭↱⊺⇮1499⩷∴⊺⇮1038))","cot":[{"info":"⊺⇮1121⩤=⊺⇮-1121","layer":3},{"info":"⫛⫱⨽⊺⇮-1121=⊺⇮0","layer":2},{"info":"≉⊺⇮0=⊺⇮531","layer":1},{"info":"⊺⇮1048⋝⋈⪟⊺⇮1137=⊺⇮1048","layer":3},{"info":"⊺⇮1499⩷∴⊺⇮1038=⊺⇮890","layer":3},{"info":"⊺⇮1048⊭↱⊺⇮890=⊺⇮-311","layer":2},{"info":"⪲⇎⊺⇮-311=⊺⇮-622","layer":1},{"info":"⊺⇮531↺⊺⇮-622=⊺⇮-622","layer":0}]}
{"id":222,"expression_no_base_symbol":"((⨈⫕($4296$⫌⩹⨱))∸)⫸⊐((⨵≀≌($4088$%$1708$))/(⪝⪂⫅$8238$⨟⋌⩍$5623$))","expression":"((⨈⫕(⊺⇮4296⫌⩹⨱))∸)⫸⊐((⨵≀≌(⊺⇮4088%⊺⇮1708))/(⪝⪂⫅⊺⇮8238⨟⋌⩍⊺⇮5623))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":585,"operation_count":9,"complexity_ratio":65.0,"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":4296,"base":10}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4088,"base":10},"right_expr":{"type":"numeric_atoms","value":1708,"base":10}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":8238,"base":10},"right_expr":{"type":"numeric_atoms","value":5623,"base":10}}}}},"used_operators":["mqXw5SEYmG","o20kRiQErp","megm06wKyl","EBcxylXtPf","XhwjNDsVaA","srAu1WTS94","k8jYdgA6NY","XTarYq4gQB","rGHVDoGpnC"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","tmPS8pqC7x","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","9HNa5Wba9A","8w2t5hMYqp","Tcnh7f0tEr"],"result":"⊺⇮47","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4296","layer":4},{"info":"compute unary expreesion, input=4296, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=9993","layer":3},{"info":"compute unary expreesion, input=9993, 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 = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"number node, value=4088","layer":4},{"info":"number node, value=1708","layer":4},{"info":"compute binary expreesion, left_input=4088, right_input=1708, op_id = k8jYdgA6NY binary_op_definition= 'None', output=672","layer":3},{"info":"compute unary expreesion, input=672, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-2016","layer":2},{"info":"number node, value=8238","layer":4},{"info":"number node, value=5623","layer":4},{"info":"compute binary expreesion, left_input=8238, right_input=5623, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2016, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=177, 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=47","layer":0}],"base":10,"result_base":10,"text":"((⨈⫕(⊺⇮4296⫌⩹⨱))∸)⫸⊐((⨵≀≌(⊺⇮4088%⊺⇮1708))/(⪝⪂⫅⊺⇮8238⨟⋌⩍⊺⇮5623))=⊺⇮47","reverse_text":"⊺⇮47=((⨈⫕(⊺⇮4296⫌⩹⨱))∸)⫸⊐((⨵≀≌(⊺⇮4088%⊺⇮1708))/(⪝⪂⫅⊺⇮8238⨟⋌⩍⊺⇮5623))","cot":[{"info":"⊺⇮4296⫌⩹⨱=⊺⇮9993","layer":3},{"info":"⨈⫕⊺⇮9993=⊺⇮-21","layer":2},{"info":"⊺⇮-21∸=⊺⇮177","layer":1},{"info":"⊺⇮4088%⊺⇮1708=⊺⇮672","layer":3},{"info":"⨵≀≌⊺⇮672=⊺⇮-2016","layer":2},{"info":"⊺⇮8238⨟⋌⩍⊺⇮5623=NaN","layer":3},{"info":"⪝⪂⫅NaN=NaN","layer":2},{"info":"⊺⇮-2016/NaN=NaN","layer":1},{"info":"⊺⇮177⫸⊐NaN=⊺⇮47","layer":0}]}
{"id":223,"expression_no_base_symbol":"(↣≠⋷(≉$3043$∀⇚≩$1700$))⊴((↥(⨈⫕$6450$))↬($1704$⊘)⨟⋌⩍($3634$⊦⊿))","expression":"(↣≠⋷(≉⊺⇮3043∀⇚≩⊺⇮1700))⊴((↥(⨈⫕⊺⇮6450))↬(⊺⇮1704⊘)⨟⋌⩍(⊺⇮3634⊦⊿))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":21755,"operation_count":10,"complexity_ratio":2175.5,"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":3043,"base":10},"right_expr":{"type":"numeric_atoms","value":1700,"base":10}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":6450,"base":10}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1704,"base":10}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":3634,"base":10}}}}},"used_operators":["Nsiff2A1zJ","Asc51vEJeQ","e1ybzncUwg","LRNGc0VcxI","B5M0gjZbta","A8NUZmVepG","megm06wKyl","rGHVDoGpnC","gu96TGCTMs","14qkJME0vr"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","rGHVDoGpnC","k8jYdgA6NY","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","Tcnh7f0tEr","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3043","layer":4},{"info":"number node, value=1700","layer":4},{"info":"compute binary expreesion, left_input=3043, right_input=1700, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":"compute unary expreesion, input=nan, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"number node, value=6450","layer":4},{"info":"compute unary expreesion, input=6450, 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 = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=30","layer":2},{"info":"number node, value=1704","layer":4},{"info":"compute unary expreesion, input=1704, 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=3634","layer":4},{"info":"compute unary expreesion, input=3634, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-10981","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-10981, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=30, 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 = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(↣≠⋷(≉⊺⇮3043∀⇚≩⊺⇮1700))⊴((↥(⨈⫕⊺⇮6450))↬(⊺⇮1704⊘)⨟⋌⩍(⊺⇮3634⊦⊿))=NaN","reverse_text":"NaN=(↣≠⋷(≉⊺⇮3043∀⇚≩⊺⇮1700))⊴((↥(⨈⫕⊺⇮6450))↬(⊺⇮1704⊘)⨟⋌⩍(⊺⇮3634⊦⊿))","cot":[{"info":"⊺⇮3043∀⇚≩⊺⇮1700=NaN","layer":3},{"info":"≉NaN=NaN","layer":2},{"info":"↣≠⋷NaN=NaN","layer":1},{"info":"⨈⫕⊺⇮6450=⊺⇮-21","layer":3},{"info":"↥⊺⇮-21=⊺⇮30","layer":2},{"info":"⊺⇮1704⊘=⊺⇮0","layer":3},{"info":"⊺⇮3634⊦⊿=⊺⇮-10981","layer":3},{"info":"⊺⇮0⨟⋌⩍⊺⇮-10981=NaN","layer":2},{"info":"⊺⇮30↬NaN=NaN","layer":1},{"info":"NaN⊴NaN=NaN","layer":0}]}
{"id":224,"expression_no_base_symbol":"(($2016$∲⫓$4216$)↺(⨑⩽⪐$6759$)*$1412$∀⇚≩$5983$⨐⩸⫘$2093$⪢$2872$)⨓(⊙↵-$5350$⪢$5908$)⪢(⊄⩳↩($4653$⩚⊴⇥$1026$))","expression":"((⊺⇮2016∲⫓⊺⇮4216)↺(⨑⩽⪐⊺⇮6759)*⊺⇮1412∀⇚≩⊺⇮5983⨐⩸⫘⊺⇮2093⪢⊺⇮2872)⨓(⊙↵-⊺⇮5350⪢⊺⇮5908)⪢(⊄⩳↩(⊺⇮4653⩚⊴⇥⊺⇮1026))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":36114,"operation_count":13,"complexity_ratio":2778.0,"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":2016,"base":10},"right_expr":{"type":"numeric_atoms","value":4216,"base":10}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":6759,"base":10}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1412,"base":10},"right_expr":{"type":"numeric_atoms","value":5983,"base":10}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2093,"base":10},"right_expr":{"type":"numeric_atoms","value":2872,"base":10}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":5350,"base":10},"right_expr":{"type":"numeric_atoms","value":5908,"base":10}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4653,"base":10},"right_expr":{"type":"numeric_atoms","value":1026,"base":10}}}}},"used_operators":["3ViojmjbAp","9HNa5Wba9A","7j4O788W3g","i8ToyICDmI","AF7qkfDlqP","fu6greOZ01","LRNGc0VcxI","dWAJyo7jo9","oWn0xqSxBt","8w2t5hMYqp","NTOWxs364D"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","3ViojmjbAp","X99M06cbEe","k8jYdgA6NY","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2016","layer":4},{"info":"number node, value=4216","layer":4},{"info":"compute binary expreesion, left_input=2016, right_input=4216, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=6759","layer":4},{"info":"compute unary expreesion, input=6759, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-6486","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-6486, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-6486","layer":2},{"info":"number node, value=1412","layer":4},{"info":"number node, value=5983","layer":4},{"info":"compute binary expreesion, left_input=1412, right_input=5983, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=2093","layer":4},{"info":"number node, value=2872","layer":4},{"info":"compute binary expreesion, left_input=2093, right_input=2872, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=-6486, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=5350","layer":4},{"info":"number node, value=5908","layer":4},{"info":"compute binary expreesion, left_input=5350, right_input=5908, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":2},{"info":"number node, value=4653","layer":4},{"info":"number node, value=1026","layer":4},{"info":"compute binary expreesion, left_input=4653, right_input=1026, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5800","layer":3},{"info":"compute unary expreesion, input=-5800, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=17400","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=17400, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮2016∲⫓⊺⇮4216)↺(⨑⩽⪐⊺⇮6759)*⊺⇮1412∀⇚≩⊺⇮5983⨐⩸⫘⊺⇮2093⪢⊺⇮2872)⨓(⊙↵-⊺⇮5350⪢⊺⇮5908)⪢(⊄⩳↩(⊺⇮4653⩚⊴⇥⊺⇮1026))=NaN","reverse_text":"NaN=((⊺⇮2016∲⫓⊺⇮4216)↺(⨑⩽⪐⊺⇮6759)*⊺⇮1412∀⇚≩⊺⇮5983⨐⩸⫘⊺⇮2093⪢⊺⇮2872)⨓(⊙↵-⊺⇮5350⪢⊺⇮5908)⪢(⊄⩳↩(⊺⇮4653⩚⊴⇥⊺⇮1026))","cot":[{"info":"⊺⇮2016∲⫓⊺⇮4216=⊺⇮0","layer":3},{"info":"⨑⩽⪐⊺⇮6759=⊺⇮-6486","layer":3},{"info":"⊺⇮0↺⊺⇮-6486=⊺⇮-6486","layer":2},{"info":"⊺⇮1412∀⇚≩⊺⇮5983=NaN","layer":3},{"info":"⊺⇮2093⪢⊺⇮2872=NaN","layer":3},{"info":"NaN⨐⩸⫘NaN=NaN","layer":2},{"info":"⊺⇮-6486*NaN=NaN","layer":1},{"info":"⊺⇮5350⪢⊺⇮5908=NaN","layer":3},{"info":"⊙↵-NaN=NaN","layer":2},{"info":"⊺⇮4653⩚⊴⇥⊺⇮1026=⊺⇮-5800","layer":3},{"info":"⊄⩳↩⊺⇮-5800=⊺⇮17400","layer":2},{"info":"NaN⪢⊺⇮17400=NaN","layer":1},{"info":"NaN⨓NaN=NaN","layer":0}]}
{"id":225,"expression_no_base_symbol":"(($1675$∸)⇷(↣≠⋷$8374$)⨁⊸⫻)⫸⊐(⩦⩻⨪($1007$⨓$2756$⊠≄⫣))","expression":"((⊺⇮1675∸)⇷(↣≠⋷⊺⇮8374)⨁⊸⫻)⫸⊐(⩦⩻⨪(⊺⇮1007⨓⊺⇮2756⊠≄⫣))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5437,"operation_count":8,"complexity_ratio":679.625,"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":1675,"base":10}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":8374,"base":10}}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1007,"base":10},"right_expr":{"type":"numeric_atoms","value":2756,"base":10}}}}},"used_operators":["mqXw5SEYmG","glklzrTFfD","mp7IySMOzn","o20kRiQErp","Asc51vEJeQ","2td37pGCOC","DIvbN7qnHd","3ViojmjbAp"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","tmPS8pqC7x","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1675","layer":4},{"info":"compute unary expreesion, input=1675, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=8374","layer":4},{"info":"compute unary expreesion, input=8374, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":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=1007","layer":4},{"info":"number node, value=2756","layer":4},{"info":"compute binary expreesion, left_input=1007, right_input=2756, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2759","layer":3},{"info":"compute unary expreesion, input=-2759, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', 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 = 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":10,"result_base":10,"text":"((⊺⇮1675∸)⇷(↣≠⋷⊺⇮8374)⨁⊸⫻)⫸⊐(⩦⩻⨪(⊺⇮1007⨓⊺⇮2756⊠≄⫣))=NaN","reverse_text":"NaN=((⊺⇮1675∸)⇷(↣≠⋷⊺⇮8374)⨁⊸⫻)⫸⊐(⩦⩻⨪(⊺⇮1007⨓⊺⇮2756⊠≄⫣))","cot":[{"info":"⊺⇮1675∸=⊺⇮177","layer":3},{"info":"↣≠⋷⊺⇮8374=NaN","layer":3},{"info":"⊺⇮177⇷NaN=NaN","layer":2},{"info":"NaN⨁⊸⫻=NaN","layer":1},{"info":"⊺⇮1007⨓⊺⇮2756=⊺⇮-2759","layer":3},{"info":"⊺⇮-2759⊠≄⫣=⊺⇮0","layer":2},{"info":"⩦⩻⨪⊺⇮0=⊺⇮0","layer":1},{"info":"NaN⫸⊐⊺⇮0=NaN","layer":0}]}
{"id":226,"expression_no_base_symbol":"(((⊙↵-$1638$)∸)↪⪝)↛⩡⫤","expression":"(((⊙↵-⊺⇮1638)∸)↪⪝)↛⩡⫤","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":2208,"operation_count":4,"complexity_ratio":552.0,"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":1638,"base":10}}}}},"used_operators":["FU0Cs4j7VP","l07mrZUIn9","o20kRiQErp","oWn0xqSxBt"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","9HNa5Wba9A","2DDjHMKMc0","tmPS8pqC7x","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1638","layer":4},{"info":"compute unary expreesion, input=1638, 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 = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"compute unary expreesion, input=177, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=10829214","layer":1},{"info":"compute unary expreesion, input=10829214, 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":10,"result_base":10,"text":"(((⊙↵-⊺⇮1638)∸)↪⪝)↛⩡⫤=NaN","reverse_text":"NaN=(((⊙↵-⊺⇮1638)∸)↪⪝)↛⩡⫤","cot":[{"info":"⊙↵-⊺⇮1638=⊺⇮-1","layer":3},{"info":"⊺⇮-1∸=⊺⇮177","layer":2},{"info":"⊺⇮177↪⪝=⊺⇮10829214","layer":1},{"info":"⊺⇮10829214↛⩡⫤=NaN","layer":0}]}
{"id":227,"expression_no_base_symbol":"(($3601$∑⇟⊟$2175$↪⪝)⊪)⪛(($6066$⨎$1163$⨳⩥⨓$1917$⨪↰⇹$2595$)↬($1007$⩤)↬(⪲⇎$1011$))","expression":"((⊺⇮3601∑⇟⊟⊺⇮2175↪⪝)⊪)⪛((⊺⇮6066⨎⊺⇮1163⨳⩥⨓⊺⇮1917⨪↰⇹⊺⇮2595)↬(⊺⇮1007⩤)↬(⪲⇎⊺⇮1011))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1949,"operation_count":11,"complexity_ratio":177.1818181818182,"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":3601,"base":10},"right_expr":{"type":"numeric_atoms","value":2175,"base":10}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":6066,"base":10},"right_expr":{"type":"numeric_atoms","value":1163,"base":10}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1917,"base":10},"right_expr":{"type":"numeric_atoms","value":2595,"base":10}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1007,"base":10}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1011,"base":10}}}}},"used_operators":["uFcxV4UQCh","zVYPLywUTj","l07mrZUIn9","U7g4x0WXJJ","B5M0gjZbta","nCS4ZIUYfx","rJVOvQCfKK","tmPS8pqC7x","Z2TMIBDE3Q","XPYlsWDdGa"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","9HNa5Wba9A","2DDjHMKMc0","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3601","layer":4},{"info":"number node, value=2175","layer":4},{"info":"compute binary expreesion, left_input=3601, right_input=2175, 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 = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=nan","layer":1},{"info":"number node, value=6066","layer":4},{"info":"number node, value=1163","layer":4},{"info":"compute binary expreesion, left_input=6066, right_input=1163, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1163","layer":3},{"info":"number node, value=1917","layer":4},{"info":"number node, value=2595","layer":4},{"info":"compute binary expreesion, left_input=1917, right_input=2595, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1917","layer":3},{"info":"compute binary expreesion, left_input=1163, right_input=1917, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=754","layer":2},{"info":"number node, value=1007","layer":4},{"info":"compute unary expreesion, input=1007, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1007","layer":3},{"info":"number node, value=1011","layer":4},{"info":"compute unary expreesion, input=1011, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2022","layer":3},{"info":"compute binary expreesion, left_input=-1007, 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":2},{"info":"compute binary expreesion, left_input=754, 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 = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮3601∑⇟⊟⊺⇮2175↪⪝)⊪)⪛((⊺⇮6066⨎⊺⇮1163⨳⩥⨓⊺⇮1917⨪↰⇹⊺⇮2595)↬(⊺⇮1007⩤)↬(⪲⇎⊺⇮1011))=NaN","reverse_text":"NaN=((⊺⇮3601∑⇟⊟⊺⇮2175↪⪝)⊪)⪛((⊺⇮6066⨎⊺⇮1163⨳⩥⨓⊺⇮1917⨪↰⇹⊺⇮2595)↬(⊺⇮1007⩤)↬(⪲⇎⊺⇮1011))","cot":[{"info":"⊺⇮3601∑⇟⊟⊺⇮2175=NaN","layer":3},{"info":"NaN↪⪝=NaN","layer":2},{"info":"NaN⊪=NaN","layer":1},{"info":"⊺⇮6066⨎⊺⇮1163=⊺⇮1163","layer":3},{"info":"⊺⇮1917⨪↰⇹⊺⇮2595=⊺⇮1917","layer":3},{"info":"⊺⇮1163⨳⩥⨓⊺⇮1917=⊺⇮754","layer":2},{"info":"⊺⇮1007⩤=⊺⇮-1007","layer":3},{"info":"⪲⇎⊺⇮1011=⊺⇮2022","layer":3},{"info":"⊺⇮-1007↬⊺⇮2022=NaN","layer":2},{"info":"⊺⇮754↬NaN=NaN","layer":1},{"info":"NaN⪛NaN=NaN","layer":0}]}
{"id":228,"expression_no_base_symbol":"(⋗⩬⋾(⪝⪂⫅$6659$))⋓(($4224$⨐⩸⫘$1173$)⫥∨⫟($4934$%$1250$))⫸⊐(($1458$⪢$1318$↺$6678$⨪↰⇹$2319$)⊭∹↮)","expression":"(⋗⩬⋾(⪝⪂⫅⊺⇮6659))⋓((⊺⇮4224⨐⩸⫘⊺⇮1173)⫥∨⫟(⊺⇮4934%⊺⇮1250))⫸⊐((⊺⇮1458⪢⊺⇮1318↺⊺⇮6678⨪↰⇹⊺⇮2319)⊭∹↮)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":9274,"operation_count":11,"complexity_ratio":843.0909090909091,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":6659,"base":10}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4224,"base":10},"right_expr":{"type":"numeric_atoms","value":1173,"base":10}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4934,"base":10},"right_expr":{"type":"numeric_atoms","value":1250,"base":10}}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1458,"base":10},"right_expr":{"type":"numeric_atoms","value":1318,"base":10}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":6678,"base":10},"right_expr":{"type":"numeric_atoms","value":2319,"base":10}}}}},"used_operators":["mqXw5SEYmG","T2fj7uvVaJ","DpFCA1CohY","XTarYq4gQB","KYD54nUTWz","fu6greOZ01","k8jYdgA6NY","xNBdhnnwKq","7j4O788W3g","dWAJyo7jo9","tmPS8pqC7x"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","8HhzD0ZcuI","rGHVDoGpnC","3ViojmjbAp","rysDP5nf3Z","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6659","layer":4},{"info":"compute unary expreesion, input=6659, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-978873","layer":3},{"info":"compute unary expreesion, input=-978873, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=2936619","layer":2},{"info":"number node, value=4224","layer":4},{"info":"number node, value=1173","layer":4},{"info":"compute binary expreesion, left_input=4224, right_input=1173, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=4934","layer":4},{"info":"number node, value=1250","layer":4},{"info":"compute binary expreesion, left_input=4934, right_input=1250, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1184","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1184, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2936619, 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=1458","layer":4},{"info":"number node, value=1318","layer":4},{"info":"compute binary expreesion, left_input=1458, right_input=1318, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=6678","layer":4},{"info":"number node, value=2319","layer":4},{"info":"compute binary expreesion, left_input=6678, right_input=2319, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=6678","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6678, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=6678","layer":2},{"info":"compute unary expreesion, input=6678, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=13356","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=13356, 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":10,"result_base":10,"text":"(⋗⩬⋾(⪝⪂⫅⊺⇮6659))⋓((⊺⇮4224⨐⩸⫘⊺⇮1173)⫥∨⫟(⊺⇮4934%⊺⇮1250))⫸⊐((⊺⇮1458⪢⊺⇮1318↺⊺⇮6678⨪↰⇹⊺⇮2319)⊭∹↮)=NaN","reverse_text":"NaN=(⋗⩬⋾(⪝⪂⫅⊺⇮6659))⋓((⊺⇮4224⨐⩸⫘⊺⇮1173)⫥∨⫟(⊺⇮4934%⊺⇮1250))⫸⊐((⊺⇮1458⪢⊺⇮1318↺⊺⇮6678⨪↰⇹⊺⇮2319)⊭∹↮)","cot":[{"info":"⪝⪂⫅⊺⇮6659=⊺⇮-978873","layer":3},{"info":"⋗⩬⋾⊺⇮-978873=⊺⇮2936619","layer":2},{"info":"⊺⇮4224⨐⩸⫘⊺⇮1173=NaN","layer":3},{"info":"⊺⇮4934%⊺⇮1250=⊺⇮1184","layer":3},{"info":"NaN⫥∨⫟⊺⇮1184=NaN","layer":2},{"info":"⊺⇮2936619⋓NaN=NaN","layer":1},{"info":"⊺⇮1458⪢⊺⇮1318=NaN","layer":3},{"info":"⊺⇮6678⨪↰⇹⊺⇮2319=⊺⇮6678","layer":3},{"info":"NaN↺⊺⇮6678=⊺⇮6678","layer":2},{"info":"⊺⇮6678⊭∹↮=⊺⇮13356","layer":1},{"info":"NaN⫸⊐⊺⇮13356=NaN","layer":0}]}
{"id":229,"expression_no_base_symbol":"(((-$3885$)⪐)/($1432$⨐⩸⫘$2480$)⨎($1067$⊭∹↮))⊭↱((↥($2119$⫸⊐$1769$))/($2997$⨸⪁$1653$)⩚⊴⇥(∂$3817$))","expression":"(((-⊺⇮3885)⪐)/(⊺⇮1432⨐⩸⫘⊺⇮2480)⨎(⊺⇮1067⊭∹↮))⊭↱((↥(⊺⇮2119⫸⊐⊺⇮1769))/(⊺⇮2997⨸⪁⊺⇮1653)⩚⊴⇥(∂⊺⇮3817))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":188,"operation_count":13,"complexity_ratio":14.461538461538462,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":3885,"base":10}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1432,"base":10},"right_expr":{"type":"numeric_atoms","value":2480,"base":10}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1067,"base":10}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2119,"base":10},"right_expr":{"type":"numeric_atoms","value":1769,"base":10}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2997,"base":10},"right_expr":{"type":"numeric_atoms","value":1653,"base":10}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":3817,"base":10}}}}},"used_operators":["COABgblf1C","XhwjNDsVaA","eH2TOUuTDT","t8gj7n24qd","rJVOvQCfKK","fu6greOZ01","xNBdhnnwKq","A8NUZmVepG","mqXw5SEYmG","NTOWxs364D","g55IO6H4Gj","Uaa54Peajs"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","3ViojmjbAp","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","k8jYdgA6NY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3885","layer":4},{"info":"compute unary expreesion, input=3885, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-3885","layer":3},{"info":"compute unary expreesion, input=-3885, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=-7770","layer":2},{"info":"number node, value=1432","layer":4},{"info":"number node, value=2480","layer":4},{"info":"compute binary expreesion, left_input=1432, right_input=2480, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=1067","layer":4},{"info":"compute unary expreesion, input=1067, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2134","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2134, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2134","layer":2},{"info":"compute binary expreesion, left_input=-7770, right_input=2134, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-4","layer":1},{"info":"number node, value=2119","layer":4},{"info":"number node, value=1769","layer":4},{"info":"compute binary expreesion, left_input=2119, right_input=1769, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6951","layer":3},{"info":"compute unary expreesion, input=6951, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=15","layer":2},{"info":"number node, value=2997","layer":4},{"info":"number node, value=1653","layer":4},{"info":"compute binary expreesion, left_input=2997, right_input=1653, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9300","layer":3},{"info":"number node, value=3817","layer":4},{"info":"compute unary expreesion, input=3817, 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=9300, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=15, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-4, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((-⊺⇮3885)⪐)/(⊺⇮1432⨐⩸⫘⊺⇮2480)⨎(⊺⇮1067⊭∹↮))⊭↱((↥(⊺⇮2119⫸⊐⊺⇮1769))/(⊺⇮2997⨸⪁⊺⇮1653)⩚⊴⇥(∂⊺⇮3817))=NaN","reverse_text":"NaN=(((-⊺⇮3885)⪐)/(⊺⇮1432⨐⩸⫘⊺⇮2480)⨎(⊺⇮1067⊭∹↮))⊭↱((↥(⊺⇮2119⫸⊐⊺⇮1769))/(⊺⇮2997⨸⪁⊺⇮1653)⩚⊴⇥(∂⊺⇮3817))","cot":[{"info":"-⊺⇮3885=⊺⇮-3885","layer":3},{"info":"⊺⇮-3885⪐=⊺⇮-7770","layer":2},{"info":"⊺⇮1432⨐⩸⫘⊺⇮2480=NaN","layer":3},{"info":"⊺⇮1067⊭∹↮=⊺⇮2134","layer":3},{"info":"NaN⨎⊺⇮2134=⊺⇮2134","layer":2},{"info":"⊺⇮-7770/⊺⇮2134=⊺⇮-4","layer":1},{"info":"⊺⇮2119⫸⊐⊺⇮1769=⊺⇮6951","layer":3},{"info":"↥⊺⇮6951=⊺⇮15","layer":2},{"info":"⊺⇮2997⨸⪁⊺⇮1653=⊺⇮9300","layer":3},{"info":"∂⊺⇮3817=NaN","layer":3},{"info":"⊺⇮9300⩚⊴⇥NaN=NaN","layer":2},{"info":"⊺⇮15/NaN=NaN","layer":1},{"info":"⊺⇮-4⊭↱NaN=NaN","layer":0}]}
{"id":230,"expression_no_base_symbol":"+⊝⨔(($5654$⨟⋌⩍$1032$↙(≉$1964$))⨐⩸⫘(($4790$⪨≂$6831$)⪄($5841$%$1163$)))","expression":"+⊝⨔((⊺⇮5654⨟⋌⩍⊺⇮1032↙(≉⊺⇮1964))⨐⩸⫘((⊺⇮4790⪨≂⊺⇮6831)⪄(⊺⇮5841%⊺⇮1163)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":128,"operation_count":8,"complexity_ratio":16.0,"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":5654,"base":10},"right_expr":{"type":"numeric_atoms","value":1032,"base":10}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1964,"base":10}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4790,"base":10},"right_expr":{"type":"numeric_atoms","value":6831,"base":10}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":5841,"base":10},"right_expr":{"type":"numeric_atoms","value":1163,"base":10}}}}},"used_operators":["DhbWaqg5eL","fu6greOZ01","yyfyN0ffXY","rGHVDoGpnC","e1ybzncUwg","SUmda5xLS4","sdazOOVcIp","k8jYdgA6NY"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","3ViojmjbAp","tmPS8pqC7x","DpFCA1CohY","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"⊺⇮1522","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5654","layer":4},{"info":"number node, value=1032","layer":4},{"info":"compute binary expreesion, left_input=5654, right_input=1032, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1964","layer":4},{"info":"compute unary expreesion, input=1964, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2495","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2495, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":2},{"info":"number node, value=4790","layer":4},{"info":"number node, value=6831","layer":4},{"info":"compute binary expreesion, left_input=4790, right_input=6831, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-3980","layer":3},{"info":"number node, value=5841","layer":4},{"info":"number node, value=1163","layer":4},{"info":"compute binary expreesion, left_input=5841, right_input=1163, op_id = k8jYdgA6NY binary_op_definition= 'None', output=26","layer":3},{"info":"compute binary expreesion, left_input=-3980, right_input=26, 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 = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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":10,"result_base":10,"text":"+⊝⨔((⊺⇮5654⨟⋌⩍⊺⇮1032↙(≉⊺⇮1964))⨐⩸⫘((⊺⇮4790⪨≂⊺⇮6831)⪄(⊺⇮5841%⊺⇮1163)))=⊺⇮1522","reverse_text":"⊺⇮1522=+⊝⨔((⊺⇮5654⨟⋌⩍⊺⇮1032↙(≉⊺⇮1964))⨐⩸⫘((⊺⇮4790⪨≂⊺⇮6831)⪄(⊺⇮5841%⊺⇮1163)))","cot":[{"info":"⊺⇮5654⨟⋌⩍⊺⇮1032=NaN","layer":3},{"info":"≉⊺⇮1964=⊺⇮2495","layer":3},{"info":"NaN↙⊺⇮2495=NaN","layer":2},{"info":"⊺⇮4790⪨≂⊺⇮6831=⊺⇮-3980","layer":3},{"info":"⊺⇮5841%⊺⇮1163=⊺⇮26","layer":3},{"info":"⊺⇮-3980⪄⊺⇮26=⊺⇮3979","layer":2},{"info":"NaN⨐⩸⫘⊺⇮3979=NaN","layer":1},{"info":"+⊝⨔NaN=⊺⇮1522","layer":0}]}
{"id":231,"expression_no_base_symbol":"⨑⩽⪐($2286$∑⇟⊟$1645$∑⇟⊟$3037$⊴$1062$)⪢(⫓⪴(∥⊫$2705$))","expression":"⨑⩽⪐(⊺⇮2286∑⇟⊟⊺⇮1645∑⇟⊟⊺⇮3037⊴⊺⇮1062)⪢(⫓⪴(∥⊫⊺⇮2705))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":10676,"operation_count":7,"complexity_ratio":1525.142857142857,"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":2286,"base":10},"right_expr":{"type":"numeric_atoms","value":1645,"base":10}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3037,"base":10},"right_expr":{"type":"numeric_atoms","value":1062,"base":10}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":2705,"base":10}}}}},"used_operators":["AF7qkfDlqP","dWAJyo7jo9","U7g4x0WXJJ","Nsiff2A1zJ","eLxqMNBOBk","P8v4zCKN1o"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","k8jYdgA6NY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","dWAJyo7jo9","14qkJME0vr","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2286","layer":4},{"info":"number node, value=1645","layer":4},{"info":"compute binary expreesion, left_input=2286, right_input=1645, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=3037","layer":4},{"info":"number node, value=1062","layer":4},{"info":"compute binary expreesion, left_input=3037, right_input=1062, 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":"number node, value=2705","layer":4},{"info":"compute unary expreesion, input=2705, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3573","layer":3},{"info":"compute unary expreesion, input=3573, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=12766329","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=12766329, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = 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":10,"result_base":10,"text":"⨑⩽⪐(⊺⇮2286∑⇟⊟⊺⇮1645∑⇟⊟⊺⇮3037⊴⊺⇮1062)⪢(⫓⪴(∥⊫⊺⇮2705))=NaN","reverse_text":"NaN=⨑⩽⪐(⊺⇮2286∑⇟⊟⊺⇮1645∑⇟⊟⊺⇮3037⊴⊺⇮1062)⪢(⫓⪴(∥⊫⊺⇮2705))","cot":[{"info":"⊺⇮2286∑⇟⊟⊺⇮1645=NaN","layer":3},{"info":"⊺⇮3037⊴⊺⇮1062=NaN","layer":3},{"info":"NaN∑⇟⊟NaN=NaN","layer":2},{"info":"∥⊫⊺⇮2705=⊺⇮3573","layer":3},{"info":"⫓⪴⊺⇮3573=⊺⇮12766329","layer":2},{"info":"NaN⪢⊺⇮12766329=NaN","layer":1},{"info":"⨑⩽⪐NaN=NaN","layer":0}]}
{"id":232,"expression_no_base_symbol":"($1039$↙$2540$⪄($5883$/$1848$))⩷∴(∥⊫$1220$∑⇟⊟$4435$)⫡⨏(⨰⫟⨤($3960$*$1052$⪨≂($1333$⫡⨏$4361$)))","expression":"(⊺⇮1039↙⊺⇮2540⪄(⊺⇮5883/⊺⇮1848))⩷∴(∥⊫⊺⇮1220∑⇟⊟⊺⇮4435)⫡⨏(⨰⫟⨤(⊺⇮3960*⊺⇮1052⪨≂(⊺⇮1333⫡⨏⊺⇮4361)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":16602086,"operation_count":11,"complexity_ratio":1509280.5454545454,"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":1039,"base":10},"right_expr":{"type":"numeric_atoms","value":2540,"base":10}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":5883,"base":10},"right_expr":{"type":"numeric_atoms","value":1848,"base":10}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1220,"base":10},"right_expr":{"type":"numeric_atoms","value":4435,"base":10}}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3960,"base":10},"right_expr":{"type":"numeric_atoms","value":1052,"base":10}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1333,"base":10},"right_expr":{"type":"numeric_atoms","value":4361,"base":10}}}}},"used_operators":["QMFrweE19q","9FxExcQeMw","SUmda5xLS4","yyfyN0ffXY","XhwjNDsVaA","P8v4zCKN1o","U7g4x0WXJJ","Tw270M8GLb","sdazOOVcIp","9HNa5Wba9A"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1039","layer":4},{"info":"number node, value=2540","layer":4},{"info":"compute binary expreesion, left_input=1039, right_input=2540, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-7620","layer":3},{"info":"number node, value=5883","layer":4},{"info":"number node, value=1848","layer":4},{"info":"compute binary expreesion, left_input=5883, right_input=1848, op_id = XhwjNDsVaA binary_op_definition= 'None', output=3","layer":3},{"info":"compute binary expreesion, left_input=-7620, right_input=3, 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=1220","layer":4},{"info":"number node, value=4435","layer":4},{"info":"compute binary expreesion, left_input=1220, right_input=4435, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3979, 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=3960","layer":4},{"info":"number node, value=1052","layer":4},{"info":"compute binary expreesion, left_input=3960, right_input=1052, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4165920","layer":3},{"info":"number node, value=1333","layer":4},{"info":"number node, value=4361","layer":4},{"info":"compute binary expreesion, left_input=1333, right_input=4361, op_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 binary expreesion, left_input=4165920, right_input=16170, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=8299602","layer":2},{"info":"compute unary expreesion, input=8299602, 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 = 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":10,"result_base":10,"text":"(⊺⇮1039↙⊺⇮2540⪄(⊺⇮5883/⊺⇮1848))⩷∴(∥⊫⊺⇮1220∑⇟⊟⊺⇮4435)⫡⨏(⨰⫟⨤(⊺⇮3960*⊺⇮1052⪨≂(⊺⇮1333⫡⨏⊺⇮4361)))=NaN","reverse_text":"NaN=(⊺⇮1039↙⊺⇮2540⪄(⊺⇮5883/⊺⇮1848))⩷∴(∥⊫⊺⇮1220∑⇟⊟⊺⇮4435)⫡⨏(⨰⫟⨤(⊺⇮3960*⊺⇮1052⪨≂(⊺⇮1333⫡⨏⊺⇮4361)))","cot":[{"info":"⊺⇮1039↙⊺⇮2540=⊺⇮-7620","layer":3},{"info":"⊺⇮5883/⊺⇮1848=⊺⇮3","layer":3},{"info":"⊺⇮-7620⪄⊺⇮3=⊺⇮3979","layer":2},{"info":"⊺⇮1220∑⇟⊟⊺⇮4435=NaN","layer":3},{"info":"∥⊫NaN=NaN","layer":2},{"info":"⊺⇮3979⩷∴NaN=NaN","layer":1},{"info":"⊺⇮3960*⊺⇮1052=⊺⇮4165920","layer":3},{"info":"⊺⇮1333⫡⨏⊺⇮4361=⊺⇮16170","layer":3},{"info":"⊺⇮4165920⪨≂⊺⇮16170=⊺⇮8299602","layer":2},{"info":"⨰⫟⨤⊺⇮8299602=NaN","layer":1},{"info":"NaN⫡⨏NaN=NaN","layer":0}]}
{"id":233,"expression_no_base_symbol":"(⨈⫕(($4182$⪨≂$2351$)⇼⇔∾($1166$⪒$2594$)))⪄(≉$6842$)∀⇚≩($4369$⊭∹↮)⩚⊴⇥(($1644$*$3289$)⫥∨⫟$2312$⋓$2312$)","expression":"(⨈⫕((⊺⇮4182⪨≂⊺⇮2351)⇼⇔∾(⊺⇮1166⪒⊺⇮2594)))⪄(≉⊺⇮6842)∀⇚≩(⊺⇮4369⊭∹↮)⩚⊴⇥((⊺⇮1644*⊺⇮3289)⫥∨⫟⊺⇮2312⋓⊺⇮2312)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":53870,"operation_count":12,"complexity_ratio":4489.166666666667,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4182,"base":10},"right_expr":{"type":"numeric_atoms","value":2351,"base":10}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1166,"base":10},"right_expr":{"type":"numeric_atoms","value":2594,"base":10}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":6842,"base":10}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":4369,"base":10}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1644,"base":10},"right_expr":{"type":"numeric_atoms","value":3289,"base":10}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2312,"base":10},"right_expr":{"type":"numeric_atoms","value":2312,"base":10}}}}},"used_operators":["SUmda5xLS4","megm06wKyl","tifHPKVTfV","sdazOOVcIp","f6k1SAg4EE","NTOWxs364D","LRNGc0VcxI","e1ybzncUwg","xNBdhnnwKq","KYD54nUTWz","9HNa5Wba9A","T2fj7uvVaJ"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⊺⇮3979","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4182","layer":4},{"info":"number node, value=2351","layer":4},{"info":"compute binary expreesion, left_input=4182, right_input=2351, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=3764","layer":3},{"info":"number node, value=1166","layer":4},{"info":"number node, value=2594","layer":4},{"info":"compute binary expreesion, left_input=1166, right_input=2594, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3760","layer":3},{"info":"compute binary expreesion, left_input=3764, right_input=-3760, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-7524","layer":2},{"info":"compute unary expreesion, input=-7524, 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=6842","layer":4},{"info":"compute unary expreesion, input=6842, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=7373","layer":3},{"info":"number node, value=4369","layer":4},{"info":"compute unary expreesion, input=4369, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=8738","layer":3},{"info":"compute binary expreesion, left_input=7373, right_input=8738, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1644","layer":4},{"info":"number node, value=3289","layer":4},{"info":"compute binary expreesion, left_input=1644, right_input=3289, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=5407116","layer":3},{"info":"number node, value=2312","layer":4},{"info":"number node, value=2312","layer":4},{"info":"compute binary expreesion, left_input=2312, right_input=2312, op_id = T2fj7uvVaJ binary_op_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=5407116, 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 = 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 = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":10,"result_base":10,"text":"(⨈⫕((⊺⇮4182⪨≂⊺⇮2351)⇼⇔∾(⊺⇮1166⪒⊺⇮2594)))⪄(≉⊺⇮6842)∀⇚≩(⊺⇮4369⊭∹↮)⩚⊴⇥((⊺⇮1644*⊺⇮3289)⫥∨⫟⊺⇮2312⋓⊺⇮2312)=⊺⇮3979","reverse_text":"⊺⇮3979=(⨈⫕((⊺⇮4182⪨≂⊺⇮2351)⇼⇔∾(⊺⇮1166⪒⊺⇮2594)))⪄(≉⊺⇮6842)∀⇚≩(⊺⇮4369⊭∹↮)⩚⊴⇥((⊺⇮1644*⊺⇮3289)⫥∨⫟⊺⇮2312⋓⊺⇮2312)","cot":[{"info":"⊺⇮4182⪨≂⊺⇮2351=⊺⇮3764","layer":3},{"info":"⊺⇮1166⪒⊺⇮2594=⊺⇮-3760","layer":3},{"info":"⊺⇮3764⇼⇔∾⊺⇮-3760=⊺⇮-7524","layer":2},{"info":"⨈⫕⊺⇮-7524=⊺⇮-21","layer":1},{"info":"≉⊺⇮6842=⊺⇮7373","layer":3},{"info":"⊺⇮4369⊭∹↮=⊺⇮8738","layer":3},{"info":"⊺⇮7373∀⇚≩⊺⇮8738=NaN","layer":2},{"info":"⊺⇮1644*⊺⇮3289=⊺⇮5407116","layer":3},{"info":"⊺⇮2312⋓⊺⇮2312=⊺⇮0","layer":3},{"info":"⊺⇮5407116⫥∨⫟⊺⇮0=NaN","layer":2},{"info":"NaN⩚⊴⇥NaN=NaN","layer":1},{"info":"⊺⇮-21⪄NaN=⊺⇮3979","layer":0}]}
{"id":234,"expression_no_base_symbol":"(⊙↵-($3926$⪛$2668$)≹⇙⪍($1000$≫≃))⨓((⨵≀≌($4591$⫡⨏$4977$))⋳⪒($1947$≧⫂∧$3766$)⪘⫢(⨰⫟⨤$2548$))","expression":"(⊙↵-(⊺⇮3926⪛⊺⇮2668)≹⇙⪍(⊺⇮1000≫≃))⨓((⨵≀≌(⊺⇮4591⫡⨏⊺⇮4977))⋳⪒(⊺⇮1947≧⫂∧⊺⇮3766)⪘⫢(⨰⫟⨤⊺⇮2548))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":9425,"operation_count":11,"complexity_ratio":856.8181818181819,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3926,"base":10},"right_expr":{"type":"numeric_atoms","value":2668,"base":10}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1000,"base":10}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4591,"base":10},"right_expr":{"type":"numeric_atoms","value":4977,"base":10}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1947,"base":10},"right_expr":{"type":"numeric_atoms","value":3766,"base":10}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2548,"base":10}}}}},"used_operators":["3ViojmjbAp","oWn0xqSxBt","AHs5Up7iyr","uFcxV4UQCh","X99M06cbEe","12rbrZMWeM","srAu1WTS94","QMFrweE19q","oacrs7FA3X","Ph9nP6C5qx","Tw270M8GLb"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","dWAJyo7jo9","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3926","layer":4},{"info":"number node, value=2668","layer":4},{"info":"compute binary expreesion, left_input=3926, right_input=2668, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1258","layer":3},{"info":"number node, value=1000","layer":4},{"info":"compute unary expreesion, input=1000, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=3401","layer":3},{"info":"compute binary expreesion, left_input=1258, right_input=3401, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=4591","layer":4},{"info":"number node, value=4977","layer":4},{"info":"compute binary expreesion, left_input=4591, right_input=4977, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=33692","layer":3},{"info":"compute unary expreesion, input=33692, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-101076","layer":2},{"info":"number node, value=1947","layer":4},{"info":"number node, value=3766","layer":4},{"info":"compute binary expreesion, left_input=1947, right_input=3766, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3293","layer":3},{"info":"number node, value=2548","layer":4},{"info":"compute unary expreesion, input=2548, 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=3293, 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=-101076, 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 = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊙↵-(⊺⇮3926⪛⊺⇮2668)≹⇙⪍(⊺⇮1000≫≃))⨓((⨵≀≌(⊺⇮4591⫡⨏⊺⇮4977))⋳⪒(⊺⇮1947≧⫂∧⊺⇮3766)⪘⫢(⨰⫟⨤⊺⇮2548))=NaN","reverse_text":"NaN=(⊙↵-(⊺⇮3926⪛⊺⇮2668)≹⇙⪍(⊺⇮1000≫≃))⨓((⨵≀≌(⊺⇮4591⫡⨏⊺⇮4977))⋳⪒(⊺⇮1947≧⫂∧⊺⇮3766)⪘⫢(⨰⫟⨤⊺⇮2548))","cot":[{"info":"⊺⇮3926⪛⊺⇮2668=⊺⇮1258","layer":3},{"info":"⊺⇮1000≫≃=⊺⇮3401","layer":3},{"info":"⊺⇮1258≹⇙⪍⊺⇮3401=NaN","layer":2},{"info":"⊙↵-NaN=NaN","layer":1},{"info":"⊺⇮4591⫡⨏⊺⇮4977=⊺⇮33692","layer":3},{"info":"⨵≀≌⊺⇮33692=⊺⇮-101076","layer":2},{"info":"⊺⇮1947≧⫂∧⊺⇮3766=⊺⇮3293","layer":3},{"info":"⨰⫟⨤⊺⇮2548=NaN","layer":3},{"info":"⊺⇮3293⪘⫢NaN=NaN","layer":2},{"info":"⊺⇮-101076⋳⪒NaN=NaN","layer":1},{"info":"NaN⨓NaN=NaN","layer":0}]}
{"id":235,"expression_no_base_symbol":"(↔($2853$⨰$1602$)⊴($2865$∀⇚≩$2425$))∀⇚≩($2226$⩷∴$1456$≭($2346$⫸⊐$1369$)≭($5809$∼$5593$⫥∨⫟$6928$⪮%⊝$4400$))","expression":"(↔(⊺⇮2853⨰⊺⇮1602)⊴(⊺⇮2865∀⇚≩⊺⇮2425))∀⇚≩(⊺⇮2226⩷∴⊺⇮1456≭(⊺⇮2346⫸⊐⊺⇮1369)≭(⊺⇮5809∼⊺⇮5593⫥∨⫟⊺⇮6928⪮%⊝⊺⇮4400))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":21338,"operation_count":12,"complexity_ratio":1778.1666666666667,"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":2853,"base":10},"right_expr":{"type":"numeric_atoms","value":1602,"base":10}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2865,"base":10},"right_expr":{"type":"numeric_atoms","value":2425,"base":10}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2226,"base":10},"right_expr":{"type":"numeric_atoms","value":1456,"base":10}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2346,"base":10},"right_expr":{"type":"numeric_atoms","value":1369,"base":10}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5809,"base":10},"right_expr":{"type":"numeric_atoms","value":5593,"base":10}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":6928,"base":10},"right_expr":{"type":"numeric_atoms","value":4400,"base":10}}}}},"used_operators":["LRNGc0VcxI","ruOEQAzv1W","Nsiff2A1zJ","eewbuw0ToL","rxpJgHHUmx","9FxExcQeMw","mqXw5SEYmG","KYD54nUTWz","DyGG3AbaNP","IWmyXbctLI"],"dependent_operators":["X99M06cbEe","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","8HhzD0ZcuI","rGHVDoGpnC","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2853","layer":4},{"info":"number node, value=1602","layer":4},{"info":"compute binary expreesion, left_input=2853, right_input=1602, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1261","layer":3},{"info":"number node, value=2865","layer":4},{"info":"number node, value=2425","layer":4},{"info":"compute binary expreesion, left_input=2865, right_input=2425, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1261, 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 = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":1},{"info":"number node, value=2226","layer":4},{"info":"number node, value=1456","layer":4},{"info":"compute binary expreesion, left_input=2226, right_input=1456, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1508","layer":3},{"info":"number node, value=2346","layer":4},{"info":"number node, value=1369","layer":4},{"info":"compute binary expreesion, left_input=2346, right_input=1369, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5351","layer":3},{"info":"compute binary expreesion, left_input=1508, right_input=5351, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=5809","layer":4},{"info":"number node, value=5593","layer":4},{"info":"compute binary expreesion, left_input=5809, right_input=5593, 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=6928","layer":4},{"info":"number node, value=4400","layer":4},{"info":"compute binary expreesion, left_input=6928, right_input=4400, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=14172","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=14172, 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 = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":10,"result_base":10,"text":"(↔(⊺⇮2853⨰⊺⇮1602)⊴(⊺⇮2865∀⇚≩⊺⇮2425))∀⇚≩(⊺⇮2226⩷∴⊺⇮1456≭(⊺⇮2346⫸⊐⊺⇮1369)≭(⊺⇮5809∼⊺⇮5593⫥∨⫟⊺⇮6928⪮%⊝⊺⇮4400))=NaN","reverse_text":"NaN=(↔(⊺⇮2853⨰⊺⇮1602)⊴(⊺⇮2865∀⇚≩⊺⇮2425))∀⇚≩(⊺⇮2226⩷∴⊺⇮1456≭(⊺⇮2346⫸⊐⊺⇮1369)≭(⊺⇮5809∼⊺⇮5593⫥∨⫟⊺⇮6928⪮%⊝⊺⇮4400))","cot":[{"info":"⊺⇮2853⨰⊺⇮1602=⊺⇮1261","layer":3},{"info":"⊺⇮2865∀⇚≩⊺⇮2425=NaN","layer":3},{"info":"⊺⇮1261⊴NaN=NaN","layer":2},{"info":"↔NaN=⊺⇮-134","layer":1},{"info":"⊺⇮2226⩷∴⊺⇮1456=⊺⇮1508","layer":3},{"info":"⊺⇮2346⫸⊐⊺⇮1369=⊺⇮5351","layer":3},{"info":"⊺⇮1508≭⊺⇮5351=NaN","layer":2},{"info":"⊺⇮5809∼⊺⇮5593=NaN","layer":3},{"info":"⊺⇮6928⪮%⊝⊺⇮4400=⊺⇮14172","layer":3},{"info":"NaN⫥∨⫟⊺⇮14172=NaN","layer":2},{"info":"NaN≭NaN=NaN","layer":1},{"info":"⊺⇮-134∀⇚≩NaN=NaN","layer":0}]}
{"id":236,"expression_no_base_symbol":"≦∁(↩($4458$/$3534$))⋝⋈⪟($1969$⪛$2201$⋥≓≎(↔$2427$))","expression":"≦∁(↩(⊺⇮4458/⊺⇮3534))⋝⋈⪟(⊺⇮1969⪛⊺⇮2201⋥≓≎(↔⊺⇮2427))","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":39,"operation_count":7,"complexity_ratio":5.571428571428571,"tree":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4458,"base":10},"right_expr":{"type":"numeric_atoms","value":3534,"base":10}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1969,"base":10},"right_expr":{"type":"numeric_atoms","value":2201,"base":10}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2427,"base":10}}}}},"used_operators":["9ICcGScMcE","2DDjHMKMc0","jLgFTUHLKL","XhwjNDsVaA","Qy55tPpLXF","uFcxV4UQCh","ruOEQAzv1W"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"⊺⇮4832","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4458","layer":4},{"info":"number node, value=3534","layer":4},{"info":"compute binary expreesion, left_input=4458, right_input=3534, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute unary expreesion, input=1, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=4832","layer":2},{"info":"number node, value=1969","layer":4},{"info":"number node, value=2201","layer":4},{"info":"compute binary expreesion, left_input=1969, right_input=2201, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1969","layer":3},{"info":"number node, value=2427","layer":4},{"info":"compute unary expreesion, input=2427, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2154","layer":3},{"info":"compute binary expreesion, left_input=1969, right_input=-2154, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-6244","layer":2},{"info":"compute binary expreesion, left_input=4832, right_input=-6244, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4832","layer":1},{"info":"compute unary expreesion, input=4832, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=4832","layer":0}],"base":10,"result_base":10,"text":"≦∁(↩(⊺⇮4458/⊺⇮3534))⋝⋈⪟(⊺⇮1969⪛⊺⇮2201⋥≓≎(↔⊺⇮2427))=⊺⇮4832","reverse_text":"⊺⇮4832=≦∁(↩(⊺⇮4458/⊺⇮3534))⋝⋈⪟(⊺⇮1969⪛⊺⇮2201⋥≓≎(↔⊺⇮2427))","cot":[{"info":"⊺⇮4458/⊺⇮3534=⊺⇮1","layer":3},{"info":"↩⊺⇮1=⊺⇮4832","layer":2},{"info":"⊺⇮1969⪛⊺⇮2201=⊺⇮1969","layer":3},{"info":"↔⊺⇮2427=⊺⇮-2154","layer":3},{"info":"⊺⇮1969⋥≓≎⊺⇮-2154=⊺⇮-6244","layer":2},{"info":"⊺⇮4832⋝⋈⪟⊺⇮-6244=⊺⇮4832","layer":1},{"info":"≦∁⊺⇮4832=⊺⇮4832","layer":0}]}
{"id":237,"expression_no_base_symbol":"⨰⫟⨤((⩦⩻⨪($3192$⫸⊐$2266$))∲⫓(⩦⩻⨪$2553$⨎$1096$))","expression":"⨰⫟⨤((⩦⩻⨪(⊺⇮3192⫸⊐⊺⇮2266))∲⫓(⩦⩻⨪⊺⇮2553⨎⊺⇮1096))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":927,"operation_count":6,"complexity_ratio":154.5,"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":3192,"base":10},"right_expr":{"type":"numeric_atoms","value":2266,"base":10}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2553,"base":10},"right_expr":{"type":"numeric_atoms","value":1096,"base":10}}}}},"used_operators":["Tw270M8GLb","i8ToyICDmI","2td37pGCOC","mqXw5SEYmG","rJVOvQCfKK"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⊺⇮4492662","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3192","layer":4},{"info":"number node, value=2266","layer":4},{"info":"compute binary expreesion, left_input=3192, right_input=2266, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=8939","layer":3},{"info":"compute unary expreesion, input=8939, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=8939","layer":2},{"info":"number node, value=2553","layer":4},{"info":"number node, value=1096","layer":4},{"info":"compute binary expreesion, left_input=2553, right_input=1096, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1096","layer":3},{"info":"compute unary expreesion, input=1096, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1096","layer":2},{"info":"compute binary expreesion, left_input=8939, right_input=1096, 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 = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=4492662","layer":0}],"base":10,"result_base":10,"text":"⨰⫟⨤((⩦⩻⨪(⊺⇮3192⫸⊐⊺⇮2266))∲⫓(⩦⩻⨪⊺⇮2553⨎⊺⇮1096))=⊺⇮4492662","reverse_text":"⊺⇮4492662=⨰⫟⨤((⩦⩻⨪(⊺⇮3192⫸⊐⊺⇮2266))∲⫓(⩦⩻⨪⊺⇮2553⨎⊺⇮1096))","cot":[{"info":"⊺⇮3192⫸⊐⊺⇮2266=⊺⇮8939","layer":3},{"info":"⩦⩻⨪⊺⇮8939=⊺⇮8939","layer":2},{"info":"⊺⇮2553⨎⊺⇮1096=⊺⇮1096","layer":3},{"info":"⩦⩻⨪⊺⇮1096=⊺⇮1096","layer":2},{"info":"⊺⇮8939∲⫓⊺⇮1096=⊺⇮0","layer":1},{"info":"⨰⫟⨤⊺⇮0=⊺⇮4492662","layer":0}]}
{"id":238,"expression_no_base_symbol":"($2188$⪄$1949$)⊴($2864$∲⫓$3342$)⇷(($2643$⨵⪆$3195$)⨳⩥⨓$7461$⨽$6224$)⨸⪁(≉$1901$⪢$8163$)⇷($1356$⨳⩥⨓$6561$)⊴$4796$≹⇙⪍$2926$","expression":"(⊺⇮2188⪄⊺⇮1949)⊴(⊺⇮2864∲⫓⊺⇮3342)⇷((⊺⇮2643⨵⪆⊺⇮3195)⨳⩥⨓⊺⇮7461⨽⊺⇮6224)⨸⪁(≉⊺⇮1901⪢⊺⇮8163)⇷(⊺⇮1356⨳⩥⨓⊺⇮6561)⊴⊺⇮4796≹⇙⪍⊺⇮2926","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":16877,"operation_count":14,"complexity_ratio":1205.5,"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":2188,"base":10},"right_expr":{"type":"numeric_atoms","value":1949,"base":10}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2864,"base":10},"right_expr":{"type":"numeric_atoms","value":3342,"base":10}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2643,"base":10},"right_expr":{"type":"numeric_atoms","value":3195,"base":10}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":7461,"base":10},"right_expr":{"type":"numeric_atoms","value":6224,"base":10}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1901,"base":10},"right_expr":{"type":"numeric_atoms","value":8163,"base":10}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1356,"base":10},"right_expr":{"type":"numeric_atoms","value":6561,"base":10}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":4796,"base":10},"right_expr":{"type":"numeric_atoms","value":2926,"base":10}}}}},"used_operators":["g55IO6H4Gj","mp7IySMOzn","Nsiff2A1zJ","SUmda5xLS4","i8ToyICDmI","nCS4ZIUYfx","2DQ55sFlQl","8HhzD0ZcuI","e1ybzncUwg","dWAJyo7jo9","AHs5Up7iyr"],"dependent_operators":["W4YGzv6Whe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2188","layer":4},{"info":"number node, value=1949","layer":4},{"info":"compute binary expreesion, left_input=2188, right_input=1949, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-327709","layer":3},{"info":"number node, value=2864","layer":4},{"info":"number node, value=3342","layer":4},{"info":"compute binary expreesion, left_input=2864, right_input=3342, 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=-327709, right_input=0, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":2},{"info":"number node, value=2643","layer":4},{"info":"number node, value=3195","layer":4},{"info":"compute binary expreesion, left_input=2643, right_input=3195, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=7461","layer":4},{"info":"number node, value=6224","layer":4},{"info":"compute binary expreesion, left_input=7461, right_input=6224, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-167016921","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-167016921, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-167017081","layer":2},{"info":"compute binary expreesion, left_input=-79, right_input=-167017081, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"number node, value=1901","layer":4},{"info":"number node, value=8163","layer":4},{"info":"compute binary expreesion, left_input=1901, right_input=8163, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1356","layer":4},{"info":"number node, value=6561","layer":4},{"info":"compute binary expreesion, left_input=1356, right_input=6561, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=5205","layer":3},{"info":"number node, value=4796","layer":4},{"info":"number node, value=2926","layer":4},{"info":"compute binary expreesion, left_input=4796, right_input=2926, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5205, 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 = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮2188⪄⊺⇮1949)⊴(⊺⇮2864∲⫓⊺⇮3342)⇷((⊺⇮2643⨵⪆⊺⇮3195)⨳⩥⨓⊺⇮7461⨽⊺⇮6224)⨸⪁(≉⊺⇮1901⪢⊺⇮8163)⇷(⊺⇮1356⨳⩥⨓⊺⇮6561)⊴⊺⇮4796≹⇙⪍⊺⇮2926=NaN","reverse_text":"NaN=(⊺⇮2188⪄⊺⇮1949)⊴(⊺⇮2864∲⫓⊺⇮3342)⇷((⊺⇮2643⨵⪆⊺⇮3195)⨳⩥⨓⊺⇮7461⨽⊺⇮6224)⨸⪁(≉⊺⇮1901⪢⊺⇮8163)⇷(⊺⇮1356⨳⩥⨓⊺⇮6561)⊴⊺⇮4796≹⇙⪍⊺⇮2926","cot":[{"info":"⊺⇮2188⪄⊺⇮1949=⊺⇮-327709","layer":3},{"info":"⊺⇮2864∲⫓⊺⇮3342=⊺⇮0","layer":3},{"info":"⊺⇮-327709⊴⊺⇮0=⊺⇮-79","layer":2},{"info":"⊺⇮2643⨵⪆⊺⇮3195=⊺⇮160","layer":3},{"info":"⊺⇮7461⨽⊺⇮6224=⊺⇮-167016921","layer":3},{"info":"⊺⇮160⨳⩥⨓⊺⇮-167016921=⊺⇮-167017081","layer":2},{"info":"⊺⇮-79⇷⊺⇮-167017081=NaN","layer":1},{"info":"⊺⇮1901⪢⊺⇮8163=NaN","layer":3},{"info":"≉NaN=NaN","layer":2},{"info":"⊺⇮1356⨳⩥⨓⊺⇮6561=⊺⇮5205","layer":3},{"info":"⊺⇮4796≹⇙⪍⊺⇮2926=NaN","layer":3},{"info":"⊺⇮5205⊴NaN=NaN","layer":2},{"info":"NaN⇷NaN=NaN","layer":1},{"info":"NaN⨸⪁NaN=NaN","layer":0}]}
{"id":239,"expression_no_base_symbol":"(≉(($1035$*$1872$)⊘))≭($1933$⨵⪆$2201$)∑⇟⊟($1108$⋓$1526$)⋝⋈⪟(≦∁(⪲⇎$1152$))","expression":"(≉((⊺⇮1035*⊺⇮1872)⊘))≭(⊺⇮1933⨵⪆⊺⇮2201)∑⇟⊟(⊺⇮1108⋓⊺⇮1526)⋝⋈⪟(≦∁(⪲⇎⊺⇮1152))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1078,"operation_count":10,"complexity_ratio":107.8,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1035,"base":10},"right_expr":{"type":"numeric_atoms","value":1872,"base":10}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1933,"base":10},"right_expr":{"type":"numeric_atoms","value":2201,"base":10}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1108,"base":10},"right_expr":{"type":"numeric_atoms","value":1526,"base":10}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1152,"base":10}}}}},"used_operators":["rxpJgHHUmx","e1ybzncUwg","gu96TGCTMs","9HNa5Wba9A","2DDjHMKMc0","U7g4x0WXJJ","2DQ55sFlQl","T2fj7uvVaJ","9ICcGScMcE","XPYlsWDdGa"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1035","layer":4},{"info":"number node, value=1872","layer":4},{"info":"compute binary expreesion, left_input=1035, right_input=1872, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=1937520","layer":3},{"info":"compute unary expreesion, input=1937520, 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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=531","layer":1},{"info":"number node, value=1933","layer":4},{"info":"number node, value=2201","layer":4},{"info":"compute binary expreesion, left_input=1933, right_input=2201, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1108","layer":4},{"info":"number node, value=1526","layer":4},{"info":"compute binary expreesion, left_input=1108, right_input=1526, op_id = T2fj7uvVaJ binary_op_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 = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=160","layer":2},{"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":"compute binary expreesion, left_input=160, right_input=2304, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=531, 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":0}],"base":10,"result_base":10,"text":"(≉((⊺⇮1035*⊺⇮1872)⊘))≭(⊺⇮1933⨵⪆⊺⇮2201)∑⇟⊟(⊺⇮1108⋓⊺⇮1526)⋝⋈⪟(≦∁(⪲⇎⊺⇮1152))=NaN","reverse_text":"NaN=(≉((⊺⇮1035*⊺⇮1872)⊘))≭(⊺⇮1933⨵⪆⊺⇮2201)∑⇟⊟(⊺⇮1108⋓⊺⇮1526)⋝⋈⪟(≦∁(⪲⇎⊺⇮1152))","cot":[{"info":"⊺⇮1035*⊺⇮1872=⊺⇮1937520","layer":3},{"info":"⊺⇮1937520⊘=⊺⇮0","layer":2},{"info":"≉⊺⇮0=⊺⇮531","layer":1},{"info":"⊺⇮1933⨵⪆⊺⇮2201=⊺⇮160","layer":3},{"info":"⊺⇮1108⋓⊺⇮1526=⊺⇮0","layer":3},{"info":"⊺⇮160∑⇟⊟⊺⇮0=⊺⇮160","layer":2},{"info":"⪲⇎⊺⇮1152=⊺⇮2304","layer":3},{"info":"≦∁⊺⇮2304=⊺⇮2304","layer":2},{"info":"⊺⇮160⋝⋈⪟⊺⇮2304=⊺⇮160","layer":1},{"info":"⊺⇮531≭⊺⇮160=NaN","layer":0}]}
{"id":240,"expression_no_base_symbol":"((⨞⊢($1262$⪒$3506$))%(↥($4577$∲⫓$1254$)))⨳⩥⨓((⪲⇎($4396$↙$1140$))⨳⩥⨓(($2965$⫩⊇)⪒$2586$⪘⫢$3888$))","expression":"((⨞⊢(⊺⇮1262⪒⊺⇮3506))%(↥(⊺⇮4577∲⫓⊺⇮1254)))⨳⩥⨓((⪲⇎(⊺⇮4396↙⊺⇮1140))⨳⩥⨓((⊺⇮2965⫩⊇)⪒⊺⇮2586⪘⫢⊺⇮3888))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1180,"operation_count":12,"complexity_ratio":98.33333333333333,"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":1262,"base":10},"right_expr":{"type":"numeric_atoms","value":3506,"base":10}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4577,"base":10},"right_expr":{"type":"numeric_atoms","value":1254,"base":10}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4396,"base":10},"right_expr":{"type":"numeric_atoms","value":1140,"base":10}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":2965,"base":10}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2586,"base":10},"right_expr":{"type":"numeric_atoms","value":3888,"base":10}}}}},"used_operators":["nCS4ZIUYfx","k8jYdgA6NY","xUOZtlo3hN","f6k1SAg4EE","A8NUZmVepG","i8ToyICDmI","XPYlsWDdGa","yyfyN0ffXY","BjRHVeLaeN","oacrs7FA3X"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1262","layer":4},{"info":"number node, value=3506","layer":4},{"info":"compute binary expreesion, left_input=1262, right_input=3506, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4768","layer":3},{"info":"compute unary expreesion, input=-4768, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=4594","layer":2},{"info":"number node, value=4577","layer":4},{"info":"number node, value=1254","layer":4},{"info":"compute binary expreesion, left_input=4577, right_input=1254, 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 = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=4594, right_input=0, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=4396","layer":4},{"info":"number node, value=1140","layer":4},{"info":"compute binary expreesion, left_input=4396, right_input=1140, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3420","layer":3},{"info":"compute unary expreesion, input=-3420, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-6840","layer":2},{"info":"number node, value=2965","layer":4},{"info":"compute unary expreesion, input=2965, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-2923","layer":3},{"info":"number node, value=2586","layer":4},{"info":"number node, value=3888","layer":4},{"info":"compute binary expreesion, left_input=2586, right_input=3888, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5048","layer":3},{"info":"compute binary expreesion, left_input=-2923, right_input=5048, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2125","layer":2},{"info":"compute binary expreesion, left_input=-6840, right_input=-2125, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=4715","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4715, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⨞⊢(⊺⇮1262⪒⊺⇮3506))%(↥(⊺⇮4577∲⫓⊺⇮1254)))⨳⩥⨓((⪲⇎(⊺⇮4396↙⊺⇮1140))⨳⩥⨓((⊺⇮2965⫩⊇)⪒⊺⇮2586⪘⫢⊺⇮3888))=NaN","reverse_text":"NaN=((⨞⊢(⊺⇮1262⪒⊺⇮3506))%(↥(⊺⇮4577∲⫓⊺⇮1254)))⨳⩥⨓((⪲⇎(⊺⇮4396↙⊺⇮1140))⨳⩥⨓((⊺⇮2965⫩⊇)⪒⊺⇮2586⪘⫢⊺⇮3888))","cot":[{"info":"⊺⇮1262⪒⊺⇮3506=⊺⇮-4768","layer":3},{"info":"⨞⊢⊺⇮-4768=⊺⇮4594","layer":2},{"info":"⊺⇮4577∲⫓⊺⇮1254=⊺⇮0","layer":3},{"info":"↥⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮4594%⊺⇮0=NaN","layer":1},{"info":"⊺⇮4396↙⊺⇮1140=⊺⇮-3420","layer":3},{"info":"⪲⇎⊺⇮-3420=⊺⇮-6840","layer":2},{"info":"⊺⇮2965⫩⊇=⊺⇮-2923","layer":3},{"info":"⊺⇮2586⪘⫢⊺⇮3888=⊺⇮5048","layer":3},{"info":"⊺⇮-2923⪒⊺⇮5048=⊺⇮-2125","layer":2},{"info":"⊺⇮-6840⨳⩥⨓⊺⇮-2125=⊺⇮4715","layer":1},{"info":"NaN⨳⩥⨓⊺⇮4715=NaN","layer":0}]}
{"id":241,"expression_no_base_symbol":"((⨞⊢$7029$)⨟⋌⩍($3137$⪘⫢$2141$)≭(↽≂$1430$)⨰$7429$⪢$7361$)⨟⋌⩍((↥$2801$≹⇙⪍$4126$)⪨≂($1143$⪘⫢$8004$)⪮%⊝($7021$⇼⇔∾$1074$))","expression":"((⨞⊢⊺⇮7029)⨟⋌⩍(⊺⇮3137⪘⫢⊺⇮2141)≭(↽≂⊺⇮1430)⨰⊺⇮7429⪢⊺⇮7361)⨟⋌⩍((↥⊺⇮2801≹⇙⪍⊺⇮4126)⪨≂(⊺⇮1143⪘⫢⊺⇮8004)⪮%⊝(⊺⇮7021⇼⇔∾⊺⇮1074))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7967,"operation_count":14,"complexity_ratio":569.0714285714286,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":7029,"base":10}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3137,"base":10},"right_expr":{"type":"numeric_atoms","value":2141,"base":10}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1430,"base":10}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":7429,"base":10},"right_expr":{"type":"numeric_atoms","value":7361,"base":10}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2801,"base":10},"right_expr":{"type":"numeric_atoms","value":4126,"base":10}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1143,"base":10},"right_expr":{"type":"numeric_atoms","value":8004,"base":10}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":7021,"base":10},"right_expr":{"type":"numeric_atoms","value":1074,"base":10}}}}},"used_operators":["rGHVDoGpnC","rxpJgHHUmx","xUOZtlo3hN","oacrs7FA3X","eewbuw0ToL","u6S6b8DprG","dWAJyo7jo9","sdazOOVcIp","A8NUZmVepG","AHs5Up7iyr","IWmyXbctLI","tifHPKVTfV"],"dependent_operators":["Tcnh7f0tEr","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","dWAJyo7jo9","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7029","layer":4},{"info":"compute unary expreesion, input=7029, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-7203","layer":3},{"info":"number node, value=3137","layer":4},{"info":"number node, value=2141","layer":4},{"info":"compute binary expreesion, left_input=3137, right_input=2141, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6150","layer":3},{"info":"compute binary expreesion, left_input=-7203, right_input=6150, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1430","layer":4},{"info":"compute unary expreesion, input=1430, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2860","layer":3},{"info":"number node, value=7429","layer":4},{"info":"number node, value=7361","layer":4},{"info":"compute binary expreesion, left_input=7429, right_input=7361, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=-2860, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=2801","layer":4},{"info":"number node, value=4126","layer":4},{"info":"compute binary expreesion, left_input=2801, right_input=4126, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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 = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":2},{"info":"number node, value=1143","layer":4},{"info":"number node, value=8004","layer":4},{"info":"compute binary expreesion, left_input=1143, right_input=8004, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2162","layer":3},{"info":"number node, value=7021","layer":4},{"info":"number node, value=1074","layer":4},{"info":"compute binary expreesion, left_input=7021, right_input=1074, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-5947","layer":3},{"info":"compute binary expreesion, left_input=2162, right_input=-5947, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4640","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4640, op_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 = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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":10,"result_base":10,"text":"((⨞⊢⊺⇮7029)⨟⋌⩍(⊺⇮3137⪘⫢⊺⇮2141)≭(↽≂⊺⇮1430)⨰⊺⇮7429⪢⊺⇮7361)⨟⋌⩍((↥⊺⇮2801≹⇙⪍⊺⇮4126)⪨≂(⊺⇮1143⪘⫢⊺⇮8004)⪮%⊝(⊺⇮7021⇼⇔∾⊺⇮1074))=NaN","reverse_text":"NaN=((⨞⊢⊺⇮7029)⨟⋌⩍(⊺⇮3137⪘⫢⊺⇮2141)≭(↽≂⊺⇮1430)⨰⊺⇮7429⪢⊺⇮7361)⨟⋌⩍((↥⊺⇮2801≹⇙⪍⊺⇮4126)⪨≂(⊺⇮1143⪘⫢⊺⇮8004)⪮%⊝(⊺⇮7021⇼⇔∾⊺⇮1074))","cot":[{"info":"⨞⊢⊺⇮7029=⊺⇮-7203","layer":3},{"info":"⊺⇮3137⪘⫢⊺⇮2141=⊺⇮6150","layer":3},{"info":"⊺⇮-7203⨟⋌⩍⊺⇮6150=NaN","layer":2},{"info":"↽≂⊺⇮1430=⊺⇮-2860","layer":3},{"info":"⊺⇮7429⪢⊺⇮7361=NaN","layer":3},{"info":"⊺⇮-2860⨰NaN=NaN","layer":2},{"info":"NaN≭NaN=NaN","layer":1},{"info":"⊺⇮2801≹⇙⪍⊺⇮4126=NaN","layer":3},{"info":"↥NaN=NaN","layer":2},{"info":"⊺⇮1143⪘⫢⊺⇮8004=⊺⇮2162","layer":3},{"info":"⊺⇮7021⇼⇔∾⊺⇮1074=⊺⇮-5947","layer":3},{"info":"⊺⇮2162⪮%⊝⊺⇮-5947=⊺⇮4640","layer":2},{"info":"NaN⪨≂⊺⇮4640=NaN","layer":1},{"info":"NaN⨟⋌⩍NaN=NaN","layer":0}]}
{"id":242,"expression_no_base_symbol":"($2527$↬$7032$⨸⪁($6823$⋷$1051$))≹⇙⪍(($1315$⊉≛↸$2896$)⋳⪒($5044$∧))⋓(($3173$⨸⪁$3570$)⨎($3488$↙$1222$))⇷(($8703$⊘)↙$2201$⨽$1504$)","expression":"(⊺⇮2527↬⊺⇮7032⨸⪁(⊺⇮6823⋷⊺⇮1051))≹⇙⪍((⊺⇮1315⊉≛↸⊺⇮2896)⋳⪒(⊺⇮5044∧))⋓((⊺⇮3173⨸⪁⊺⇮3570)⨎(⊺⇮3488↙⊺⇮1222))⇷((⊺⇮8703⊘)↙⊺⇮2201⨽⊺⇮1504)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":54825,"operation_count":15,"complexity_ratio":3655.0,"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":2527,"base":10},"right_expr":{"type":"numeric_atoms","value":7032,"base":10}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":6823,"base":10},"right_expr":{"type":"numeric_atoms","value":1051,"base":10}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1315,"base":10},"right_expr":{"type":"numeric_atoms","value":2896,"base":10}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":5044,"base":10}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3173,"base":10},"right_expr":{"type":"numeric_atoms","value":3570,"base":10}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3488,"base":10},"right_expr":{"type":"numeric_atoms","value":1222,"base":10}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":8703,"base":10}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2201,"base":10},"right_expr":{"type":"numeric_atoms","value":1504,"base":10}}}}},"used_operators":["T2fj7uvVaJ","AHs5Up7iyr","g55IO6H4Gj","B5M0gjZbta","23Mk6UjR3U","12rbrZMWeM","DZ8iAZOCBD","z63VuFQld9","mp7IySMOzn","rJVOvQCfKK","yyfyN0ffXY","gu96TGCTMs","8HhzD0ZcuI"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","dWAJyo7jo9","W4YGzv6Whe","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","tmPS8pqC7x","DpFCA1CohY","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2527","layer":4},{"info":"number node, value=7032","layer":4},{"info":"compute binary expreesion, left_input=2527, right_input=7032, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=6823","layer":4},{"info":"number node, value=1051","layer":4},{"info":"compute binary expreesion, left_input=6823, right_input=1051, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-4721","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4721, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"number node, value=1315","layer":4},{"info":"number node, value=2896","layer":4},{"info":"compute binary expreesion, left_input=1315, right_input=2896, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2630","layer":3},{"info":"number node, value=5044","layer":4},{"info":"compute unary expreesion, input=5044, 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=2630, 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 = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=3173","layer":4},{"info":"number node, value=3570","layer":4},{"info":"compute binary expreesion, left_input=3173, right_input=3570, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=13486","layer":3},{"info":"number node, value=3488","layer":4},{"info":"number node, value=1222","layer":4},{"info":"compute binary expreesion, left_input=3488, right_input=1222, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3666","layer":3},{"info":"compute binary expreesion, left_input=13486, right_input=-3666, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-3666","layer":2},{"info":"number node, value=8703","layer":4},{"info":"compute unary expreesion, input=8703, 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=2201","layer":4},{"info":"number node, value=1504","layer":4},{"info":"compute binary expreesion, left_input=2201, right_input=1504, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-14536401","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-14536401, 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=-3666, 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 = T2fj7uvVaJ binary_op_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":10,"result_base":10,"text":"(⊺⇮2527↬⊺⇮7032⨸⪁(⊺⇮6823⋷⊺⇮1051))≹⇙⪍((⊺⇮1315⊉≛↸⊺⇮2896)⋳⪒(⊺⇮5044∧))⋓((⊺⇮3173⨸⪁⊺⇮3570)⨎(⊺⇮3488↙⊺⇮1222))⇷((⊺⇮8703⊘)↙⊺⇮2201⨽⊺⇮1504)=⊺⇮0","reverse_text":"⊺⇮0=(⊺⇮2527↬⊺⇮7032⨸⪁(⊺⇮6823⋷⊺⇮1051))≹⇙⪍((⊺⇮1315⊉≛↸⊺⇮2896)⋳⪒(⊺⇮5044∧))⋓((⊺⇮3173⨸⪁⊺⇮3570)⨎(⊺⇮3488↙⊺⇮1222))⇷((⊺⇮8703⊘)↙⊺⇮2201⨽⊺⇮1504)","cot":[{"info":"⊺⇮2527↬⊺⇮7032=NaN","layer":3},{"info":"⊺⇮6823⋷⊺⇮1051=⊺⇮-4721","layer":3},{"info":"NaN⨸⪁⊺⇮-4721=NaN","layer":2},{"info":"⊺⇮1315⊉≛↸⊺⇮2896=⊺⇮2630","layer":3},{"info":"⊺⇮5044∧=NaN","layer":3},{"info":"⊺⇮2630⋳⪒NaN=NaN","layer":2},{"info":"NaN≹⇙⪍NaN=NaN","layer":1},{"info":"⊺⇮3173⨸⪁⊺⇮3570=⊺⇮13486","layer":3},{"info":"⊺⇮3488↙⊺⇮1222=⊺⇮-3666","layer":3},{"info":"⊺⇮13486⨎⊺⇮-3666=⊺⇮-3666","layer":2},{"info":"⊺⇮8703⊘=⊺⇮0","layer":3},{"info":"⊺⇮2201⨽⊺⇮1504=⊺⇮-14536401","layer":3},{"info":"⊺⇮0↙⊺⇮-14536401=⊺⇮0","layer":2},{"info":"⊺⇮-3666⇷⊺⇮0=⊺⇮0","layer":1},{"info":"NaN⋓⊺⇮0=⊺⇮0","layer":0}]}
{"id":243,"expression_no_base_symbol":"(↩($4291$⊴$5725$⫌⩹⨱))⨟⋌⩍(((+⊝⨔$3969$)≭($1383$⫥∨⫟$4615$))⩷∴($2978$⋓$2934$⨐⩸⫘$2220$≧⫂∧$2462$))","expression":"(↩(⊺⇮4291⊴⊺⇮5725⫌⩹⨱))⨟⋌⩍(((+⊝⨔⊺⇮3969)≭(⊺⇮1383⫥∨⫟⊺⇮4615))⩷∴(⊺⇮2978⋓⊺⇮2934⨐⩸⫘⊺⇮2220≧⫂∧⊺⇮2462))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5974,"operation_count":11,"complexity_ratio":543.0909090909091,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4291,"base":10},"right_expr":{"type":"numeric_atoms","value":5725,"base":10}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":3969,"base":10}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1383,"base":10},"right_expr":{"type":"numeric_atoms","value":4615,"base":10}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2978,"base":10},"right_expr":{"type":"numeric_atoms","value":2934,"base":10}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2220,"base":10},"right_expr":{"type":"numeric_atoms","value":2462,"base":10}}}}},"used_operators":["rGHVDoGpnC","jLgFTUHLKL","EBcxylXtPf","Nsiff2A1zJ","9FxExcQeMw","rxpJgHHUmx","DhbWaqg5eL","KYD54nUTWz","fu6greOZ01","T2fj7uvVaJ","Ph9nP6C5qx"],"dependent_operators":["Tcnh7f0tEr","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","AHs5Up7iyr","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC","3ViojmjbAp","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=4291","layer":4},{"info":"number node, value=5725","layer":4},{"info":"compute binary expreesion, left_input=4291, right_input=5725, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=nan","layer":2},{"info":"compute 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=3969","layer":4},{"info":"compute unary expreesion, input=3969, 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=1383","layer":4},{"info":"number node, value=4615","layer":4},{"info":"compute binary expreesion, left_input=1383, right_input=4615, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=2978","layer":4},{"info":"number node, value=2934","layer":4},{"info":"compute binary expreesion, left_input=2978, right_input=2934, op_id = T2fj7uvVaJ binary_op_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=2220","layer":4},{"info":"number node, value=2462","layer":4},{"info":"compute binary expreesion, left_input=2220, right_input=2462, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1989","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1989, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = 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 = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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":10,"result_base":10,"text":"(↩(⊺⇮4291⊴⊺⇮5725⫌⩹⨱))⨟⋌⩍(((+⊝⨔⊺⇮3969)≭(⊺⇮1383⫥∨⫟⊺⇮4615))⩷∴(⊺⇮2978⋓⊺⇮2934⨐⩸⫘⊺⇮2220≧⫂∧⊺⇮2462))=NaN","reverse_text":"NaN=(↩(⊺⇮4291⊴⊺⇮5725⫌⩹⨱))⨟⋌⩍(((+⊝⨔⊺⇮3969)≭(⊺⇮1383⫥∨⫟⊺⇮4615))⩷∴(⊺⇮2978⋓⊺⇮2934⨐⩸⫘⊺⇮2220≧⫂∧⊺⇮2462))","cot":[{"info":"⊺⇮4291⊴⊺⇮5725=NaN","layer":3},{"info":"NaN⫌⩹⨱=NaN","layer":2},{"info":"↩NaN=NaN","layer":1},{"info":"+⊝⨔⊺⇮3969=⊺⇮1522","layer":3},{"info":"⊺⇮1383⫥∨⫟⊺⇮4615=NaN","layer":3},{"info":"⊺⇮1522≭NaN=NaN","layer":2},{"info":"⊺⇮2978⋓⊺⇮2934=⊺⇮0","layer":3},{"info":"⊺⇮2220≧⫂∧⊺⇮2462=⊺⇮1989","layer":3},{"info":"⊺⇮0⨐⩸⫘⊺⇮1989=NaN","layer":2},{"info":"NaN⩷∴NaN=NaN","layer":1},{"info":"NaN⨟⋌⩍NaN=NaN","layer":0}]}
{"id":244,"expression_no_base_symbol":"↥(⇁⨣⪵$4754$⪘⫢$1031$)∼(($1507$⋳⪒$2850$)≎⊠⪸$2456$⨰$3931$)","expression":"↥(⇁⨣⪵⊺⇮4754⪘⫢⊺⇮1031)∼((⊺⇮1507⋳⪒⊺⇮2850)≎⊠⪸⊺⇮2456⨰⊺⇮3931)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":330,"operation_count":7,"complexity_ratio":47.142857142857146,"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":4754,"base":10},"right_expr":{"type":"numeric_atoms","value":1031,"base":10}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1507,"base":10},"right_expr":{"type":"numeric_atoms","value":2850,"base":10}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2456,"base":10},"right_expr":{"type":"numeric_atoms","value":3931,"base":10}}}}},"used_operators":["A8NUZmVepG","DyGG3AbaNP","inkyxCbjAn","oacrs7FA3X","bJkvcejdHO","12rbrZMWeM","eewbuw0ToL"],"dependent_operators":["k8jYdgA6NY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","B5M0gjZbta","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4754","layer":4},{"info":"number node, value=1031","layer":4},{"info":"compute binary expreesion, left_input=4754, right_input=1031, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=9384","layer":3},{"info":"compute unary expreesion, input=9384, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"number node, value=1507","layer":4},{"info":"number node, value=2850","layer":4},{"info":"compute binary expreesion, left_input=1507, right_input=2850, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-123","layer":3},{"info":"number node, value=2456","layer":4},{"info":"number node, value=3931","layer":4},{"info":"compute binary expreesion, left_input=2456, right_input=3931, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1465","layer":3},{"info":"compute binary expreesion, left_input=-123, right_input=-1465, 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 = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=0","layer":0}],"base":10,"result_base":10,"text":"↥(⇁⨣⪵⊺⇮4754⪘⫢⊺⇮1031)∼((⊺⇮1507⋳⪒⊺⇮2850)≎⊠⪸⊺⇮2456⨰⊺⇮3931)=⊺⇮0","reverse_text":"⊺⇮0=↥(⇁⨣⪵⊺⇮4754⪘⫢⊺⇮1031)∼((⊺⇮1507⋳⪒⊺⇮2850)≎⊠⪸⊺⇮2456⨰⊺⇮3931)","cot":[{"info":"⊺⇮4754⪘⫢⊺⇮1031=⊺⇮9384","layer":3},{"info":"⇁⨣⪵⊺⇮9384=NaN","layer":2},{"info":"⊺⇮1507⋳⪒⊺⇮2850=⊺⇮-123","layer":3},{"info":"⊺⇮2456⨰⊺⇮3931=⊺⇮-1465","layer":3},{"info":"⊺⇮-123≎⊠⪸⊺⇮-1465=⊺⇮67","layer":2},{"info":"NaN∼⊺⇮67=⊺⇮0","layer":1},{"info":"↥⊺⇮0=⊺⇮0","layer":0}]}
{"id":245,"expression_no_base_symbol":"((⨵≀≌$2188$≹⇙⪍$6865$)↙(⨞⊢$1497$↬$6896$))⪢((⨑⩽⪐(↽≂$5540$))⊦⊿)","expression":"((⨵≀≌⊺⇮2188≹⇙⪍⊺⇮6865)↙(⨞⊢⊺⇮1497↬⊺⇮6896))⪢((⨑⩽⪐(↽≂⊺⇮5540))⊦⊿)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":68950,"operation_count":9,"complexity_ratio":7661.111111111111,"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":2188,"base":10},"right_expr":{"type":"numeric_atoms","value":6865,"base":10}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1497,"base":10},"right_expr":{"type":"numeric_atoms","value":6896,"base":10}}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":5540,"base":10}}}}},"used_operators":["dWAJyo7jo9","yyfyN0ffXY","srAu1WTS94","AHs5Up7iyr","xUOZtlo3hN","B5M0gjZbta","14qkJME0vr","AF7qkfDlqP","u6S6b8DprG"],"dependent_operators":["k8jYdgA6NY","tmPS8pqC7x","DpFCA1CohY","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2188","layer":4},{"info":"number node, value=6865","layer":4},{"info":"compute binary expreesion, left_input=2188, right_input=6865, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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":"number node, value=1497","layer":4},{"info":"number node, value=6896","layer":4},{"info":"compute binary expreesion, left_input=1497, right_input=6896, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":1},{"info":"number node, value=5540","layer":4},{"info":"compute unary expreesion, input=5540, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-11080","layer":3},{"info":"compute unary expreesion, input=-11080, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=22949","layer":2},{"info":"compute unary expreesion, input=22949, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-68926","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-68926, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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":10,"result_base":10,"text":"((⨵≀≌⊺⇮2188≹⇙⪍⊺⇮6865)↙(⨞⊢⊺⇮1497↬⊺⇮6896))⪢((⨑⩽⪐(↽≂⊺⇮5540))⊦⊿)=NaN","reverse_text":"NaN=((⨵≀≌⊺⇮2188≹⇙⪍⊺⇮6865)↙(⨞⊢⊺⇮1497↬⊺⇮6896))⪢((⨑⩽⪐(↽≂⊺⇮5540))⊦⊿)","cot":[{"info":"⊺⇮2188≹⇙⪍⊺⇮6865=NaN","layer":3},{"info":"⨵≀≌NaN=NaN","layer":2},{"info":"⊺⇮1497↬⊺⇮6896=NaN","layer":3},{"info":"⨞⊢NaN=NaN","layer":2},{"info":"NaN↙NaN=NaN","layer":1},{"info":"↽≂⊺⇮5540=⊺⇮-11080","layer":3},{"info":"⨑⩽⪐⊺⇮-11080=⊺⇮22949","layer":2},{"info":"⊺⇮22949⊦⊿=⊺⇮-68926","layer":1},{"info":"NaN⪢⊺⇮-68926=NaN","layer":0}]}
{"id":246,"expression_no_base_symbol":"⨞⊢(($1795$⋷$3327$)⊭↱$6011$⋥≓≎$7685$∲⫓($8574$*$4835$)⨐⩸⫘$2748$≎⊠⪸$1231$)","expression":"⨞⊢((⊺⇮1795⋷⊺⇮3327)⊭↱⊺⇮6011⋥≓≎⊺⇮7685∲⫓(⊺⇮8574*⊺⇮4835)⨐⩸⫘⊺⇮2748≎⊠⪸⊺⇮1231)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":5123,"operation_count":8,"complexity_ratio":640.375,"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":1795,"base":10},"right_expr":{"type":"numeric_atoms","value":3327,"base":10}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":6011,"base":10},"right_expr":{"type":"numeric_atoms","value":7685,"base":10}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":8574,"base":10},"right_expr":{"type":"numeric_atoms","value":4835,"base":10}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2748,"base":10},"right_expr":{"type":"numeric_atoms","value":1231,"base":10}}}}},"used_operators":["xUOZtlo3hN","i8ToyICDmI","COABgblf1C","23Mk6UjR3U","Qy55tPpLXF","fu6greOZ01","9HNa5Wba9A","bJkvcejdHO"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1795","layer":4},{"info":"number node, value=3327","layer":4},{"info":"compute binary expreesion, left_input=1795, right_input=3327, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=4859","layer":3},{"info":"number node, value=6011","layer":4},{"info":"number node, value=7685","layer":4},{"info":"compute binary expreesion, left_input=6011, right_input=7685, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=9392","layer":3},{"info":"compute binary expreesion, left_input=4859, right_input=9392, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=9071","layer":2},{"info":"number node, value=8574","layer":4},{"info":"number node, value=4835","layer":4},{"info":"compute binary expreesion, left_input=8574, right_input=4835, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=41455290","layer":3},{"info":"number node, value=2748","layer":4},{"info":"number node, value=1231","layer":4},{"info":"compute binary expreesion, left_input=2748, right_input=1231, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=711259","layer":3},{"info":"compute binary expreesion, left_input=41455290, right_input=711259, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=9071, 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 = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⨞⊢((⊺⇮1795⋷⊺⇮3327)⊭↱⊺⇮6011⋥≓≎⊺⇮7685∲⫓(⊺⇮8574*⊺⇮4835)⨐⩸⫘⊺⇮2748≎⊠⪸⊺⇮1231)=NaN","reverse_text":"NaN=⨞⊢((⊺⇮1795⋷⊺⇮3327)⊭↱⊺⇮6011⋥≓≎⊺⇮7685∲⫓(⊺⇮8574*⊺⇮4835)⨐⩸⫘⊺⇮2748≎⊠⪸⊺⇮1231)","cot":[{"info":"⊺⇮1795⋷⊺⇮3327=⊺⇮4859","layer":3},{"info":"⊺⇮6011⋥≓≎⊺⇮7685=⊺⇮9392","layer":3},{"info":"⊺⇮4859⊭↱⊺⇮9392=⊺⇮9071","layer":2},{"info":"⊺⇮8574*⊺⇮4835=⊺⇮41455290","layer":3},{"info":"⊺⇮2748≎⊠⪸⊺⇮1231=⊺⇮711259","layer":3},{"info":"⊺⇮41455290⨐⩸⫘⊺⇮711259=NaN","layer":2},{"info":"⊺⇮9071∲⫓NaN=NaN","layer":1},{"info":"⨞⊢NaN=NaN","layer":0}]}
{"id":247,"expression_no_base_symbol":"(≉($5341$⫥∨⫟$1492$)⨪↰⇹(⨞⊢$6123$))≎⊠⪸(↯⪼(($1710$⪨≂$1653$)⋳⪒($4528$⩨$1012$)))","expression":"(≉(⊺⇮5341⫥∨⫟⊺⇮1492)⨪↰⇹(⨞⊢⊺⇮6123))≎⊠⪸(↯⪼((⊺⇮1710⪨≂⊺⇮1653)⋳⪒(⊺⇮4528⩨⊺⇮1012)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":217,"operation_count":9,"complexity_ratio":24.11111111111111,"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":5341,"base":10},"right_expr":{"type":"numeric_atoms","value":1492,"base":10}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":6123,"base":10}}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1710,"base":10},"right_expr":{"type":"numeric_atoms","value":1653,"base":10}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4528,"base":10},"right_expr":{"type":"numeric_atoms","value":1012,"base":10}}}}},"used_operators":["bJkvcejdHO","e1ybzncUwg","tmPS8pqC7x","KYD54nUTWz","xUOZtlo3hN","8jW3W4yZS5","12rbrZMWeM","sdazOOVcIp","2DlMacCsIx"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5341","layer":4},{"info":"number node, value=1492","layer":4},{"info":"compute binary expreesion, left_input=5341, right_input=1492, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=6123","layer":4},{"info":"compute unary expreesion, input=6123, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-6297","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6297, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":1},{"info":"number node, value=1710","layer":4},{"info":"number node, value=1653","layer":4},{"info":"compute binary expreesion, left_input=1710, right_input=1653, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=216","layer":3},{"info":"number node, value=4528","layer":4},{"info":"number node, value=1012","layer":4},{"info":"compute binary expreesion, left_input=4528, right_input=1012, 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=216, right_input=0, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=145","layer":2},{"info":"compute unary expreesion, input=145, 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 = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(≉(⊺⇮5341⫥∨⫟⊺⇮1492)⨪↰⇹(⨞⊢⊺⇮6123))≎⊠⪸(↯⪼((⊺⇮1710⪨≂⊺⇮1653)⋳⪒(⊺⇮4528⩨⊺⇮1012)))=NaN","reverse_text":"NaN=(≉(⊺⇮5341⫥∨⫟⊺⇮1492)⨪↰⇹(⨞⊢⊺⇮6123))≎⊠⪸(↯⪼((⊺⇮1710⪨≂⊺⇮1653)⋳⪒(⊺⇮4528⩨⊺⇮1012)))","cot":[{"info":"⊺⇮5341⫥∨⫟⊺⇮1492=NaN","layer":3},{"info":"⨞⊢⊺⇮6123=⊺⇮-6297","layer":3},{"info":"NaN⨪↰⇹⊺⇮-6297=NaN","layer":2},{"info":"≉NaN=NaN","layer":1},{"info":"⊺⇮1710⪨≂⊺⇮1653=⊺⇮216","layer":3},{"info":"⊺⇮4528⩨⊺⇮1012=⊺⇮0","layer":3},{"info":"⊺⇮216⋳⪒⊺⇮0=⊺⇮145","layer":2},{"info":"↯⪼⊺⇮145=⊺⇮-21","layer":1},{"info":"NaN≎⊠⪸⊺⇮-21=NaN","layer":0}]}
{"id":248,"expression_no_base_symbol":"(($2416$↬$1510$⫌⩹⨱)⊭↱($5017$⋳⪒$2985$)∀⇚≩($2365$/$2512$))⪢(($6427$⋝⋈⪟$1850$⊭↱$3895$⪘⫢$2869$)∑⇟⊟((≦∁$3682$)≧⫂∧($1530$⫡⨏$1578$)))","expression":"((⊺⇮2416↬⊺⇮1510⫌⩹⨱)⊭↱(⊺⇮5017⋳⪒⊺⇮2985)∀⇚≩(⊺⇮2365/⊺⇮2512))⪢((⊺⇮6427⋝⋈⪟⊺⇮1850⊭↱⊺⇮3895⪘⫢⊺⇮2869)∑⇟⊟((≦∁⊺⇮3682)≧⫂∧(⊺⇮1530⫡⨏⊺⇮1578)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":47391,"operation_count":14,"complexity_ratio":3385.0714285714284,"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":2416,"base":10},"right_expr":{"type":"numeric_atoms","value":1510,"base":10}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":5017,"base":10},"right_expr":{"type":"numeric_atoms","value":2985,"base":10}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2365,"base":10},"right_expr":{"type":"numeric_atoms","value":2512,"base":10}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":6427,"base":10},"right_expr":{"type":"numeric_atoms","value":1850,"base":10}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3895,"base":10},"right_expr":{"type":"numeric_atoms","value":2869,"base":10}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":3682,"base":10}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1530,"base":10},"right_expr":{"type":"numeric_atoms","value":1578,"base":10}}}}},"used_operators":["dWAJyo7jo9","COABgblf1C","EBcxylXtPf","B5M0gjZbta","LRNGc0VcxI","12rbrZMWeM","XhwjNDsVaA","U7g4x0WXJJ","2DDjHMKMc0","oacrs7FA3X","Ph9nP6C5qx","9ICcGScMcE","QMFrweE19q"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2416","layer":4},{"info":"number node, value=1510","layer":4},{"info":"compute binary expreesion, left_input=2416, right_input=1510, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=nan","layer":2},{"info":"number node, value=5017","layer":4},{"info":"number node, value=2985","layer":4},{"info":"compute binary expreesion, left_input=5017, right_input=2985, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=6762","layer":3},{"info":"number node, value=2365","layer":4},{"info":"number node, value=2512","layer":4},{"info":"compute binary expreesion, left_input=2365, right_input=2512, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=6762, right_input=0, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=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=6427","layer":4},{"info":"number node, value=1850","layer":4},{"info":"compute binary expreesion, left_input=6427, right_input=1850, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6427","layer":3},{"info":"number node, value=3895","layer":4},{"info":"number node, value=2869","layer":4},{"info":"compute binary expreesion, left_input=3895, right_input=2869, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=7666","layer":3},{"info":"compute binary expreesion, left_input=6427, right_input=7666, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=2483","layer":2},{"info":"number node, value=3682","layer":4},{"info":"compute unary expreesion, input=3682, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3682","layer":3},{"info":"number node, value=1530","layer":4},{"info":"number node, value=1578","layer":4},{"info":"compute binary expreesion, left_input=1530, right_input=1578, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=11589","layer":3},{"info":"compute binary expreesion, left_input=3682, right_input=11589, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=11116","layer":2},{"info":"compute binary expreesion, left_input=2483, right_input=11116, 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 = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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":10,"result_base":10,"text":"((⊺⇮2416↬⊺⇮1510⫌⩹⨱)⊭↱(⊺⇮5017⋳⪒⊺⇮2985)∀⇚≩(⊺⇮2365/⊺⇮2512))⪢((⊺⇮6427⋝⋈⪟⊺⇮1850⊭↱⊺⇮3895⪘⫢⊺⇮2869)∑⇟⊟((≦∁⊺⇮3682)≧⫂∧(⊺⇮1530⫡⨏⊺⇮1578)))=NaN","reverse_text":"NaN=((⊺⇮2416↬⊺⇮1510⫌⩹⨱)⊭↱(⊺⇮5017⋳⪒⊺⇮2985)∀⇚≩(⊺⇮2365/⊺⇮2512))⪢((⊺⇮6427⋝⋈⪟⊺⇮1850⊭↱⊺⇮3895⪘⫢⊺⇮2869)∑⇟⊟((≦∁⊺⇮3682)≧⫂∧(⊺⇮1530⫡⨏⊺⇮1578)))","cot":[{"info":"⊺⇮2416↬⊺⇮1510=NaN","layer":3},{"info":"NaN⫌⩹⨱=NaN","layer":2},{"info":"⊺⇮5017⋳⪒⊺⇮2985=⊺⇮6762","layer":3},{"info":"⊺⇮2365/⊺⇮2512=⊺⇮0","layer":3},{"info":"⊺⇮6762∀⇚≩⊺⇮0=NaN","layer":2},{"info":"NaN⊭↱NaN=NaN","layer":1},{"info":"⊺⇮6427⋝⋈⪟⊺⇮1850=⊺⇮6427","layer":3},{"info":"⊺⇮3895⪘⫢⊺⇮2869=⊺⇮7666","layer":3},{"info":"⊺⇮6427⊭↱⊺⇮7666=⊺⇮2483","layer":2},{"info":"≦∁⊺⇮3682=⊺⇮3682","layer":3},{"info":"⊺⇮1530⫡⨏⊺⇮1578=⊺⇮11589","layer":3},{"info":"⊺⇮3682≧⫂∧⊺⇮11589=⊺⇮11116","layer":2},{"info":"⊺⇮2483∑⇟⊟⊺⇮11116=NaN","layer":1},{"info":"NaN⪢NaN=NaN","layer":0}]}
{"id":249,"expression_no_base_symbol":"≤/((($3904$∲⫓$2474$)⊭↱$1899$⊴$1589$)⫌⩹⨱)","expression":"≤/(((⊺⇮3904∲⫓⊺⇮2474)⊭↱⊺⇮1899⊴⊺⇮1589)⫌⩹⨱)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1942,"operation_count":5,"complexity_ratio":388.4,"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":3904,"base":10},"right_expr":{"type":"numeric_atoms","value":2474,"base":10}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1899,"base":10},"right_expr":{"type":"numeric_atoms","value":1589,"base":10}}}}},"used_operators":["eLAdDNolq6","EBcxylXtPf","COABgblf1C","i8ToyICDmI","Nsiff2A1zJ"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=3904","layer":4},{"info":"number node, value=2474","layer":4},{"info":"compute binary expreesion, left_input=3904, right_input=2474, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1899","layer":4},{"info":"number node, value=1589","layer":4},{"info":"compute binary expreesion, left_input=1899, right_input=1589, 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 = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', 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 = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"≤/(((⊺⇮3904∲⫓⊺⇮2474)⊭↱⊺⇮1899⊴⊺⇮1589)⫌⩹⨱)=NaN","reverse_text":"NaN=≤/(((⊺⇮3904∲⫓⊺⇮2474)⊭↱⊺⇮1899⊴⊺⇮1589)⫌⩹⨱)","cot":[{"info":"⊺⇮3904∲⫓⊺⇮2474=⊺⇮0","layer":3},{"info":"⊺⇮1899⊴⊺⇮1589=NaN","layer":3},{"info":"⊺⇮0⊭↱NaN=NaN","layer":2},{"info":"NaN⫌⩹⨱=NaN","layer":1},{"info":"≤/NaN=NaN","layer":0}]}
{"id":250,"expression_no_base_symbol":"(≤/($4994$⨳⩥⨓$1270$⩨(⪝⪂⫅$1316$)))%((≉$6763$⋓$2148$)⊦⊿)","expression":"(≤/(⊺⇮4994⨳⩥⨓⊺⇮1270⩨(⪝⪂⫅⊺⇮1316)))%((≉⊺⇮6763⋓⊺⇮2148)⊦⊿)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":230,"operation_count":8,"complexity_ratio":28.75,"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":4994,"base":10},"right_expr":{"type":"numeric_atoms","value":1270,"base":10}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1316,"base":10}}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":6763,"base":10},"right_expr":{"type":"numeric_atoms","value":2148,"base":10}}}}},"used_operators":["k8jYdgA6NY","eLAdDNolq6","2DlMacCsIx","nCS4ZIUYfx","XTarYq4gQB","14qkJME0vr","e1ybzncUwg","T2fj7uvVaJ"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⊺⇮-1035","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4994","layer":4},{"info":"number node, value=1270","layer":4},{"info":"compute binary expreesion, left_input=4994, right_input=1270, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3724","layer":3},{"info":"number node, value=1316","layer":4},{"info":"compute unary expreesion, input=1316, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-193452","layer":3},{"info":"compute binary expreesion, left_input=-3724, right_input=-193452, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-153","layer":2},{"info":"compute unary expreesion, input=-153, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=637","layer":1},{"info":"number node, value=6763","layer":4},{"info":"number node, value=2148","layer":4},{"info":"compute binary expreesion, left_input=6763, right_input=2148, op_id = T2fj7uvVaJ binary_op_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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=531","layer":2},{"info":"compute unary expreesion, input=531, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-1672","layer":1},{"info":"compute binary expreesion, left_input=637, right_input=-1672, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-1035","layer":0}],"base":10,"result_base":10,"text":"(≤/(⊺⇮4994⨳⩥⨓⊺⇮1270⩨(⪝⪂⫅⊺⇮1316)))%((≉⊺⇮6763⋓⊺⇮2148)⊦⊿)=⊺⇮-1035","reverse_text":"⊺⇮-1035=(≤/(⊺⇮4994⨳⩥⨓⊺⇮1270⩨(⪝⪂⫅⊺⇮1316)))%((≉⊺⇮6763⋓⊺⇮2148)⊦⊿)","cot":[{"info":"⊺⇮4994⨳⩥⨓⊺⇮1270=⊺⇮-3724","layer":3},{"info":"⪝⪂⫅⊺⇮1316=⊺⇮-193452","layer":3},{"info":"⊺⇮-3724⩨⊺⇮-193452=⊺⇮-153","layer":2},{"info":"≤/⊺⇮-153=⊺⇮637","layer":1},{"info":"⊺⇮6763⋓⊺⇮2148=⊺⇮0","layer":3},{"info":"≉⊺⇮0=⊺⇮531","layer":2},{"info":"⊺⇮531⊦⊿=⊺⇮-1672","layer":1},{"info":"⊺⇮637%⊺⇮-1672=⊺⇮-1035","layer":0}]}
{"id":251,"expression_no_base_symbol":"((⨵≀≌$2220$)⨓($1836$⋳⪒$3433$)⫌⩹⨱)⫡⨏$1068$⨰$1485$⨳⩥⨓($2236$/$5290$)↺($3893$⊉≛↸$1241$)∑⇟⊟($5886$↪⪝)","expression":"((⨵≀≌⊺⇮2220)⨓(⊺⇮1836⋳⪒⊺⇮3433)⫌⩹⨱)⫡⨏⊺⇮1068⨰⊺⇮1485⨳⩥⨓(⊺⇮2236/⊺⇮5290)↺(⊺⇮3893⊉≛↸⊺⇮1241)∑⇟⊟(⊺⇮5886↪⪝)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":793,"operation_count":12,"complexity_ratio":66.08333333333333,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":2220,"base":10}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1836,"base":10},"right_expr":{"type":"numeric_atoms","value":3433,"base":10}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1068,"base":10},"right_expr":{"type":"numeric_atoms","value":1485,"base":10}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2236,"base":10},"right_expr":{"type":"numeric_atoms","value":5290,"base":10}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3893,"base":10},"right_expr":{"type":"numeric_atoms","value":1241,"base":10}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":5886,"base":10}}}}},"used_operators":["QMFrweE19q","EBcxylXtPf","3ViojmjbAp","srAu1WTS94","12rbrZMWeM","7j4O788W3g","nCS4ZIUYfx","eewbuw0ToL","XhwjNDsVaA","U7g4x0WXJJ","DZ8iAZOCBD","l07mrZUIn9"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2220","layer":4},{"info":"compute unary expreesion, input=2220, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-6660","layer":3},{"info":"number node, value=1836","layer":4},{"info":"number node, value=3433","layer":4},{"info":"compute binary expreesion, left_input=1836, right_input=3433, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-48","layer":3},{"info":"compute binary expreesion, left_input=-6660, right_input=-48, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=45","layer":2},{"info":"compute unary expreesion, input=45, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=1491","layer":1},{"info":"number node, value=1068","layer":4},{"info":"number node, value=1485","layer":4},{"info":"compute binary expreesion, left_input=1068, right_input=1485, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-407","layer":3},{"info":"number node, value=2236","layer":4},{"info":"number node, value=5290","layer":4},{"info":"compute binary expreesion, left_input=2236, right_input=5290, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=-407, right_input=0, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=407","layer":2},{"info":"number node, value=3893","layer":4},{"info":"number node, value=1241","layer":4},{"info":"compute binary expreesion, left_input=3893, right_input=1241, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=7786","layer":3},{"info":"number node, value=5886","layer":4},{"info":"compute unary expreesion, input=5886, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=360117252","layer":3},{"info":"compute binary expreesion, left_input=7786, right_input=360117252, 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=407, 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=1491, 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":10,"result_base":10,"text":"((⨵≀≌⊺⇮2220)⨓(⊺⇮1836⋳⪒⊺⇮3433)⫌⩹⨱)⫡⨏⊺⇮1068⨰⊺⇮1485⨳⩥⨓(⊺⇮2236/⊺⇮5290)↺(⊺⇮3893⊉≛↸⊺⇮1241)∑⇟⊟(⊺⇮5886↪⪝)=NaN","reverse_text":"NaN=((⨵≀≌⊺⇮2220)⨓(⊺⇮1836⋳⪒⊺⇮3433)⫌⩹⨱)⫡⨏⊺⇮1068⨰⊺⇮1485⨳⩥⨓(⊺⇮2236/⊺⇮5290)↺(⊺⇮3893⊉≛↸⊺⇮1241)∑⇟⊟(⊺⇮5886↪⪝)","cot":[{"info":"⨵≀≌⊺⇮2220=⊺⇮-6660","layer":3},{"info":"⊺⇮1836⋳⪒⊺⇮3433=⊺⇮-48","layer":3},{"info":"⊺⇮-6660⨓⊺⇮-48=⊺⇮45","layer":2},{"info":"⊺⇮45⫌⩹⨱=⊺⇮1491","layer":1},{"info":"⊺⇮1068⨰⊺⇮1485=⊺⇮-407","layer":3},{"info":"⊺⇮2236/⊺⇮5290=⊺⇮0","layer":3},{"info":"⊺⇮-407⨳⩥⨓⊺⇮0=⊺⇮407","layer":2},{"info":"⊺⇮3893⊉≛↸⊺⇮1241=⊺⇮7786","layer":3},{"info":"⊺⇮5886↪⪝=⊺⇮360117252","layer":3},{"info":"⊺⇮7786∑⇟⊟⊺⇮360117252=NaN","layer":2},{"info":"⊺⇮407↺NaN=NaN","layer":1},{"info":"⊺⇮1491⫡⨏NaN=NaN","layer":0}]}
{"id":252,"expression_no_base_symbol":"+⊝⨔((⨑⩽⪐($1685$⩨$3513$))-$2863$⩷∴$1208$⪒$5298$⊭↱$8906$)","expression":"+⊝⨔((⨑⩽⪐(⊺⇮1685⩨⊺⇮3513))-⊺⇮2863⩷∴⊺⇮1208⪒⊺⇮5298⊭↱⊺⇮8906)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":68,"operation_count":7,"complexity_ratio":9.714285714285714,"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":1685,"base":10},"right_expr":{"type":"numeric_atoms","value":3513,"base":10}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2863,"base":10},"right_expr":{"type":"numeric_atoms","value":1208,"base":10}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":5298,"base":10},"right_expr":{"type":"numeric_atoms","value":8906,"base":10}}}}},"used_operators":["DhbWaqg5eL","rysDP5nf3Z","AF7qkfDlqP","2DlMacCsIx","f6k1SAg4EE","9FxExcQeMw","COABgblf1C"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮1522","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1685","layer":4},{"info":"number node, value=3513","layer":4},{"info":"compute binary expreesion, left_input=1685, right_input=3513, 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 = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=801","layer":2},{"info":"number node, value=2863","layer":4},{"info":"number node, value=1208","layer":4},{"info":"compute binary expreesion, left_input=2863, right_input=1208, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=3278","layer":3},{"info":"number node, value=5298","layer":4},{"info":"number node, value=8906","layer":4},{"info":"compute binary expreesion, left_input=5298, right_input=8906, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=7221","layer":3},{"info":"compute binary expreesion, left_input=3278, right_input=7221, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-10499","layer":2},{"info":"compute binary expreesion, left_input=801, right_input=-10499, op_id = rysDP5nf3Z binary_op_definition= 'None', output=11300","layer":1},{"info":"compute unary expreesion, input=11300, 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":10,"result_base":10,"text":"+⊝⨔((⨑⩽⪐(⊺⇮1685⩨⊺⇮3513))-⊺⇮2863⩷∴⊺⇮1208⪒⊺⇮5298⊭↱⊺⇮8906)=⊺⇮1522","reverse_text":"⊺⇮1522=+⊝⨔((⨑⩽⪐(⊺⇮1685⩨⊺⇮3513))-⊺⇮2863⩷∴⊺⇮1208⪒⊺⇮5298⊭↱⊺⇮8906)","cot":[{"info":"⊺⇮1685⩨⊺⇮3513=⊺⇮-6","layer":3},{"info":"⨑⩽⪐⊺⇮-6=⊺⇮801","layer":2},{"info":"⊺⇮2863⩷∴⊺⇮1208=⊺⇮3278","layer":3},{"info":"⊺⇮5298⊭↱⊺⇮8906=⊺⇮7221","layer":3},{"info":"⊺⇮3278⪒⊺⇮7221=⊺⇮-10499","layer":2},{"info":"⊺⇮801-⊺⇮-10499=⊺⇮11300","layer":1},{"info":"+⊝⨔⊺⇮11300=⊺⇮1522","layer":0}]}
{"id":253,"expression_no_base_symbol":"((≦∁$1400$)⊠≄⫣)≹⇙⪍(($4493$⪐)≧⫂∧($4648$⋳⪒$1340$))⨵⪆(⫛⫱⨽(⨵≀≌(↽≂$4634$)))","expression":"((≦∁⊺⇮1400)⊠≄⫣)≹⇙⪍((⊺⇮4493⪐)≧⫂∧(⊺⇮4648⋳⪒⊺⇮1340))⨵⪆(⫛⫱⨽(⨵≀≌(↽≂⊺⇮4634)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":10714,"operation_count":10,"complexity_ratio":1071.4,"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":1400,"base":10}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":4493,"base":10}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":4648,"base":10},"right_expr":{"type":"numeric_atoms","value":1340,"base":10}}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":4634,"base":10}}}}},"used_operators":["2DQ55sFlQl","AHs5Up7iyr","DIvbN7qnHd","9ICcGScMcE","Ph9nP6C5qx","eH2TOUuTDT","12rbrZMWeM","DlLNRPXxWL","srAu1WTS94","u6S6b8DprG"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⊺⇮160","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1400","layer":4},{"info":"compute unary expreesion, input=1400, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1400","layer":3},{"info":"compute unary expreesion, input=1400, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"number node, value=4493","layer":4},{"info":"compute unary expreesion, input=4493, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=8986","layer":3},{"info":"number node, value=4648","layer":4},{"info":"number node, value=1340","layer":4},{"info":"compute binary expreesion, left_input=4648, right_input=1340, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=7669","layer":3},{"info":"compute binary expreesion, left_input=8986, right_input=7669, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=7196","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=7196, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=4634","layer":4},{"info":"compute unary expreesion, input=4634, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-9268","layer":3},{"info":"compute unary expreesion, input=-9268, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=85895824","layer":2},{"info":"compute unary expreesion, input=85895824, 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 = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":10,"result_base":10,"text":"((≦∁⊺⇮1400)⊠≄⫣)≹⇙⪍((⊺⇮4493⪐)≧⫂∧(⊺⇮4648⋳⪒⊺⇮1340))⨵⪆(⫛⫱⨽(⨵≀≌(↽≂⊺⇮4634)))=⊺⇮160","reverse_text":"⊺⇮160=((≦∁⊺⇮1400)⊠≄⫣)≹⇙⪍((⊺⇮4493⪐)≧⫂∧(⊺⇮4648⋳⪒⊺⇮1340))⨵⪆(⫛⫱⨽(⨵≀≌(↽≂⊺⇮4634)))","cot":[{"info":"≦∁⊺⇮1400=⊺⇮1400","layer":3},{"info":"⊺⇮1400⊠≄⫣=⊺⇮0","layer":2},{"info":"⊺⇮4493⪐=⊺⇮8986","layer":3},{"info":"⊺⇮4648⋳⪒⊺⇮1340=⊺⇮7669","layer":3},{"info":"⊺⇮8986≧⫂∧⊺⇮7669=⊺⇮7196","layer":2},{"info":"⊺⇮0≹⇙⪍⊺⇮7196=NaN","layer":1},{"info":"↽≂⊺⇮4634=⊺⇮-9268","layer":3},{"info":"⨵≀≌⊺⇮-9268=⊺⇮85895824","layer":2},{"info":"⫛⫱⨽⊺⇮85895824=NaN","layer":1},{"info":"NaN⨵⪆NaN=⊺⇮160","layer":0}]}
{"id":254,"expression_no_base_symbol":"(($4510$⫩⊇)∀⇚≩(⨰⫟⨤$1781$)↺(≉$4117$)⋓(↣≠⋷$3296$))≹⇙⪍((($1536$-$3302$)⪐)≧⫂∧($2246$⫥∨⫟$3544$⇼⇔∾($9094$⫡⨏$1422$)))","expression":"((⊺⇮4510⫩⊇)∀⇚≩(⨰⫟⨤⊺⇮1781)↺(≉⊺⇮4117)⋓(↣≠⋷⊺⇮3296))≹⇙⪍(((⊺⇮1536-⊺⇮3302)⪐)≧⫂∧(⊺⇮2246⫥∨⫟⊺⇮3544⇼⇔∾(⊺⇮9094⫡⨏⊺⇮1422)))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":37750,"operation_count":14,"complexity_ratio":2696.4285714285716,"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":4510,"base":10}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1781,"base":10}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":4117,"base":10}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":3296,"base":10}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1536,"base":10},"right_expr":{"type":"numeric_atoms","value":3302,"base":10}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2246,"base":10},"right_expr":{"type":"numeric_atoms","value":3544,"base":10}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":9094,"base":10},"right_expr":{"type":"numeric_atoms","value":1422,"base":10}}}}},"used_operators":["AHs5Up7iyr","7j4O788W3g","LRNGc0VcxI","BjRHVeLaeN","Tw270M8GLb","T2fj7uvVaJ","e1ybzncUwg","Asc51vEJeQ","Ph9nP6C5qx","eH2TOUuTDT","rysDP5nf3Z","tifHPKVTfV","KYD54nUTWz","QMFrweE19q"],"dependent_operators":["dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4510","layer":4},{"info":"compute unary expreesion, input=4510, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-4468","layer":3},{"info":"number node, value=1781","layer":4},{"info":"compute unary expreesion, input=1781, 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=-4468, 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=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":"number node, value=3296","layer":4},{"info":"compute unary expreesion, input=3296, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4648, 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 = 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=1536","layer":4},{"info":"number node, value=3302","layer":4},{"info":"compute binary expreesion, left_input=1536, right_input=3302, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1766","layer":3},{"info":"compute unary expreesion, input=-1766, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=-3532","layer":2},{"info":"number node, value=2246","layer":4},{"info":"number node, value=3544","layer":4},{"info":"compute binary expreesion, left_input=2246, right_input=3544, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=9094","layer":4},{"info":"number node, value=1422","layer":4},{"info":"compute binary expreesion, left_input=9094, right_input=1422, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=49097","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=49097, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-3532, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮4510⫩⊇)∀⇚≩(⨰⫟⨤⊺⇮1781)↺(≉⊺⇮4117)⋓(↣≠⋷⊺⇮3296))≹⇙⪍(((⊺⇮1536-⊺⇮3302)⪐)≧⫂∧(⊺⇮2246⫥∨⫟⊺⇮3544⇼⇔∾(⊺⇮9094⫡⨏⊺⇮1422)))=NaN","reverse_text":"NaN=((⊺⇮4510⫩⊇)∀⇚≩(⨰⫟⨤⊺⇮1781)↺(≉⊺⇮4117)⋓(↣≠⋷⊺⇮3296))≹⇙⪍(((⊺⇮1536-⊺⇮3302)⪐)≧⫂∧(⊺⇮2246⫥∨⫟⊺⇮3544⇼⇔∾(⊺⇮9094⫡⨏⊺⇮1422)))","cot":[{"info":"⊺⇮4510⫩⊇=⊺⇮-4468","layer":3},{"info":"⨰⫟⨤⊺⇮1781=NaN","layer":3},{"info":"⊺⇮-4468∀⇚≩NaN=NaN","layer":2},{"info":"≉⊺⇮4117=⊺⇮4648","layer":3},{"info":"↣≠⋷⊺⇮3296=NaN","layer":3},{"info":"⊺⇮4648⋓NaN=NaN","layer":2},{"info":"NaN↺NaN=NaN","layer":1},{"info":"⊺⇮1536-⊺⇮3302=⊺⇮-1766","layer":3},{"info":"⊺⇮-1766⪐=⊺⇮-3532","layer":2},{"info":"⊺⇮2246⫥∨⫟⊺⇮3544=NaN","layer":3},{"info":"⊺⇮9094⫡⨏⊺⇮1422=⊺⇮49097","layer":3},{"info":"NaN⇼⇔∾⊺⇮49097=NaN","layer":2},{"info":"⊺⇮-3532≧⫂∧NaN=NaN","layer":1},{"info":"NaN≹⇙⪍NaN=NaN","layer":0}]}
{"id":255,"expression_no_base_symbol":"((⫛⫱⨽$1615$)⨐⩸⫘(≦∁$2460$)↺(($1178$≭$1590$)≦≮≮))⨰((⨵≀≌$6386$)⫥∨⫟($1607$⩤))∀⇚≩(($6278$⨵⪆$3773$)∲⫓$1614$∼$1960$)","expression":"((⫛⫱⨽⊺⇮1615)⨐⩸⫘(≦∁⊺⇮2460)↺((⊺⇮1178≭⊺⇮1590)≦≮≮))⨰((⨵≀≌⊺⇮6386)⫥∨⫟(⊺⇮1607⩤))∀⇚≩((⊺⇮6278⨵⪆⊺⇮3773)∲⫓⊺⇮1614∼⊺⇮1960)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":1631,"operation_count":14,"complexity_ratio":116.5,"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":1615,"base":10}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2460,"base":10}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1178,"base":10},"right_expr":{"type":"numeric_atoms","value":1590,"base":10}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":6386,"base":10}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1607,"base":10}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":6278,"base":10},"right_expr":{"type":"numeric_atoms","value":3773,"base":10}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1614,"base":10},"right_expr":{"type":"numeric_atoms","value":1960,"base":10}}}}},"used_operators":["eewbuw0ToL","7j4O788W3g","fu6greOZ01","DlLNRPXxWL","9ICcGScMcE","D4vGDi5EA2","rxpJgHHUmx","LRNGc0VcxI","KYD54nUTWz","srAu1WTS94","Z2TMIBDE3Q","i8ToyICDmI","2DQ55sFlQl","DyGG3AbaNP"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","rGHVDoGpnC","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","X99M06cbEe","8HhzD0ZcuI","rGHVDoGpnC","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1615","layer":4},{"info":"compute unary expreesion, input=1615, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=2460","layer":4},{"info":"compute unary expreesion, input=2460, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2460","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2460, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=1178","layer":4},{"info":"number node, value=1590","layer":4},{"info":"compute binary expreesion, left_input=1178, right_input=1590, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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 = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', 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=6386","layer":4},{"info":"compute unary expreesion, input=6386, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-19158","layer":3},{"info":"number node, value=1607","layer":4},{"info":"compute unary expreesion, input=1607, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1607","layer":3},{"info":"compute binary expreesion, left_input=-19158, right_input=-1607, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=6278","layer":4},{"info":"number node, value=3773","layer":4},{"info":"compute binary expreesion, left_input=6278, right_input=3773, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1614","layer":4},{"info":"number node, value=1960","layer":4},{"info":"compute binary expreesion, left_input=1614, right_input=1960, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = 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 = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⫛⫱⨽⊺⇮1615)⨐⩸⫘(≦∁⊺⇮2460)↺((⊺⇮1178≭⊺⇮1590)≦≮≮))⨰((⨵≀≌⊺⇮6386)⫥∨⫟(⊺⇮1607⩤))∀⇚≩((⊺⇮6278⨵⪆⊺⇮3773)∲⫓⊺⇮1614∼⊺⇮1960)=NaN","reverse_text":"NaN=((⫛⫱⨽⊺⇮1615)⨐⩸⫘(≦∁⊺⇮2460)↺((⊺⇮1178≭⊺⇮1590)≦≮≮))⨰((⨵≀≌⊺⇮6386)⫥∨⫟(⊺⇮1607⩤))∀⇚≩((⊺⇮6278⨵⪆⊺⇮3773)∲⫓⊺⇮1614∼⊺⇮1960)","cot":[{"info":"⫛⫱⨽⊺⇮1615=⊺⇮0","layer":3},{"info":"≦∁⊺⇮2460=⊺⇮2460","layer":3},{"info":"⊺⇮0⨐⩸⫘⊺⇮2460=NaN","layer":2},{"info":"⊺⇮1178≭⊺⇮1590=NaN","layer":3},{"info":"NaN≦≮≮=NaN","layer":2},{"info":"NaN↺NaN=NaN","layer":1},{"info":"⨵≀≌⊺⇮6386=⊺⇮-19158","layer":3},{"info":"⊺⇮1607⩤=⊺⇮-1607","layer":3},{"info":"⊺⇮-19158⫥∨⫟⊺⇮-1607=NaN","layer":2},{"info":"⊺⇮6278⨵⪆⊺⇮3773=⊺⇮160","layer":3},{"info":"⊺⇮1614∼⊺⇮1960=NaN","layer":3},{"info":"⊺⇮160∲⫓NaN=NaN","layer":2},{"info":"NaN∀⇚≩NaN=NaN","layer":1},{"info":"NaN⨰NaN=NaN","layer":0}]}
{"id":256,"expression_no_base_symbol":"($2715$⇷$1915$)⊴($3031$↬$3801$)⇷(⨵≀≌$6239$)⪛(↽≂$2749$)⨰($3747$⋳⪒$1214$⨐⩸⫘(∂$3737$))∑⇟⊟$2385$∼$2526$⪛($3949$⫸⊐$2134$)","expression":"(⊺⇮2715⇷⊺⇮1915)⊴(⊺⇮3031↬⊺⇮3801)⇷(⨵≀≌⊺⇮6239)⪛(↽≂⊺⇮2749)⨰(⊺⇮3747⋳⪒⊺⇮1214⨐⩸⫘(∂⊺⇮3737))∑⇟⊟⊺⇮2385∼⊺⇮2526⪛(⊺⇮3949⫸⊐⊺⇮2134)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":38137,"operation_count":15,"complexity_ratio":2542.4666666666667,"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":2715,"base":10},"right_expr":{"type":"numeric_atoms","value":1915,"base":10}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3031,"base":10},"right_expr":{"type":"numeric_atoms","value":3801,"base":10}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":6239,"base":10}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2749,"base":10}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3747,"base":10},"right_expr":{"type":"numeric_atoms","value":1214,"base":10}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":3737,"base":10}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2385,"base":10},"right_expr":{"type":"numeric_atoms","value":2526,"base":10}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3949,"base":10},"right_expr":{"type":"numeric_atoms","value":2134,"base":10}}}}},"used_operators":["eewbuw0ToL","mp7IySMOzn","Nsiff2A1zJ","B5M0gjZbta","uFcxV4UQCh","srAu1WTS94","u6S6b8DprG","U7g4x0WXJJ","fu6greOZ01","12rbrZMWeM","Uaa54Peajs","DyGG3AbaNP","mqXw5SEYmG"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr","rGHVDoGpnC","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2715","layer":4},{"info":"number node, value=1915","layer":4},{"info":"compute binary expreesion, left_input=2715, right_input=1915, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3830","layer":3},{"info":"number node, value=3031","layer":4},{"info":"number node, value=3801","layer":4},{"info":"compute binary expreesion, left_input=3031, right_input=3801, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=3830, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=6239","layer":4},{"info":"compute unary expreesion, input=6239, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-18717","layer":3},{"info":"number node, value=2749","layer":4},{"info":"compute unary expreesion, input=2749, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-5498","layer":3},{"info":"compute binary expreesion, left_input=-18717, right_input=-5498, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-2223","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2223, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"number node, value=3747","layer":4},{"info":"number node, value=1214","layer":4},{"info":"compute binary expreesion, left_input=3747, right_input=1214, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=5993","layer":3},{"info":"number node, value=3737","layer":4},{"info":"compute unary expreesion, input=3737, 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=5993, 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=2385","layer":4},{"info":"number node, value=2526","layer":4},{"info":"compute binary expreesion, left_input=2385, right_input=2526, 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":"number node, value=2134","layer":4},{"info":"compute binary expreesion, left_input=3949, right_input=2134, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=8411","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8411, 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 = 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":10,"result_base":10,"text":"(⊺⇮2715⇷⊺⇮1915)⊴(⊺⇮3031↬⊺⇮3801)⇷(⨵≀≌⊺⇮6239)⪛(↽≂⊺⇮2749)⨰(⊺⇮3747⋳⪒⊺⇮1214⨐⩸⫘(∂⊺⇮3737))∑⇟⊟⊺⇮2385∼⊺⇮2526⪛(⊺⇮3949⫸⊐⊺⇮2134)=NaN","reverse_text":"NaN=(⊺⇮2715⇷⊺⇮1915)⊴(⊺⇮3031↬⊺⇮3801)⇷(⨵≀≌⊺⇮6239)⪛(↽≂⊺⇮2749)⨰(⊺⇮3747⋳⪒⊺⇮1214⨐⩸⫘(∂⊺⇮3737))∑⇟⊟⊺⇮2385∼⊺⇮2526⪛(⊺⇮3949⫸⊐⊺⇮2134)","cot":[{"info":"⊺⇮2715⇷⊺⇮1915=⊺⇮3830","layer":3},{"info":"⊺⇮3031↬⊺⇮3801=NaN","layer":3},{"info":"⊺⇮3830⊴NaN=NaN","layer":2},{"info":"⨵≀≌⊺⇮6239=⊺⇮-18717","layer":3},{"info":"↽≂⊺⇮2749=⊺⇮-5498","layer":3},{"info":"⊺⇮-18717⪛⊺⇮-5498=⊺⇮-2223","layer":2},{"info":"NaN⇷⊺⇮-2223=NaN","layer":1},{"info":"⊺⇮3747⋳⪒⊺⇮1214=⊺⇮5993","layer":3},{"info":"∂⊺⇮3737=NaN","layer":3},{"info":"⊺⇮5993⨐⩸⫘NaN=NaN","layer":2},{"info":"⊺⇮2385∼⊺⇮2526=NaN","layer":3},{"info":"⊺⇮3949⫸⊐⊺⇮2134=⊺⇮8411","layer":3},{"info":"NaN⪛⊺⇮8411=NaN","layer":2},{"info":"NaN∑⇟⊟NaN=NaN","layer":1},{"info":"NaN⨰NaN=NaN","layer":0}]}
{"id":257,"expression_no_base_symbol":"↔(($4557$/$3996$)⊴($1324$≧⫂∧$5113$)⊭↱($3788$⨳⩥⨓$7445$%$1761$∑⇟⊟$2060$))","expression":"↔((⊺⇮4557/⊺⇮3996)⊴(⊺⇮1324≧⫂∧⊺⇮5113)⊭↱(⊺⇮3788⨳⩥⨓⊺⇮7445%⊺⇮1761∑⇟⊟⊺⇮2060))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4681,"operation_count":8,"complexity_ratio":585.125,"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":4557,"base":10},"right_expr":{"type":"numeric_atoms","value":3996,"base":10}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1324,"base":10},"right_expr":{"type":"numeric_atoms","value":5113,"base":10}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3788,"base":10},"right_expr":{"type":"numeric_atoms","value":7445,"base":10}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1761,"base":10},"right_expr":{"type":"numeric_atoms","value":2060,"base":10}}}}},"used_operators":["ruOEQAzv1W","COABgblf1C","Nsiff2A1zJ","XhwjNDsVaA","Ph9nP6C5qx","k8jYdgA6NY","nCS4ZIUYfx","U7g4x0WXJJ"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"⊺⇮-134","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=4557","layer":4},{"info":"number node, value=3996","layer":4},{"info":"compute binary expreesion, left_input=4557, right_input=3996, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"number node, value=1324","layer":4},{"info":"number node, value=5113","layer":4},{"info":"compute binary expreesion, left_input=1324, right_input=5113, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4640","layer":3},{"info":"compute binary expreesion, left_input=1, right_input=4640, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=3788","layer":4},{"info":"number node, value=7445","layer":4},{"info":"compute binary expreesion, left_input=3788, right_input=7445, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=3657","layer":3},{"info":"number node, value=1761","layer":4},{"info":"number node, value=2060","layer":4},{"info":"compute binary expreesion, left_input=1761, right_input=2060, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3657, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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":10,"result_base":10,"text":"↔((⊺⇮4557/⊺⇮3996)⊴(⊺⇮1324≧⫂∧⊺⇮5113)⊭↱(⊺⇮3788⨳⩥⨓⊺⇮7445%⊺⇮1761∑⇟⊟⊺⇮2060))=⊺⇮-134","reverse_text":"⊺⇮-134=↔((⊺⇮4557/⊺⇮3996)⊴(⊺⇮1324≧⫂∧⊺⇮5113)⊭↱(⊺⇮3788⨳⩥⨓⊺⇮7445%⊺⇮1761∑⇟⊟⊺⇮2060))","cot":[{"info":"⊺⇮4557/⊺⇮3996=⊺⇮1","layer":3},{"info":"⊺⇮1324≧⫂∧⊺⇮5113=⊺⇮4640","layer":3},{"info":"⊺⇮1⊴⊺⇮4640=NaN","layer":2},{"info":"⊺⇮3788⨳⩥⨓⊺⇮7445=⊺⇮3657","layer":3},{"info":"⊺⇮1761∑⇟⊟⊺⇮2060=NaN","layer":3},{"info":"⊺⇮3657%NaN=NaN","layer":2},{"info":"NaN⊭↱NaN=NaN","layer":1},{"info":"↔NaN=⊺⇮-134","layer":0}]}
{"id":258,"expression_no_base_symbol":"(⩦⩻⨪((⨵≀≌$1691$)+($1901$⨵⪆$5214$)))∲⫓((($1572$⩚⊴⇥$1008$)≧⫂∧($2292$≫≃))⊪)","expression":"(⩦⩻⨪((⨵≀≌⊺⇮1691)+(⊺⇮1901⨵⪆⊺⇮5214)))∲⫓(((⊺⇮1572⩚⊴⇥⊺⇮1008)≧⫂∧(⊺⇮2292≫≃))⊪)","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":53,"operation_count":9,"complexity_ratio":5.888888888888889,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1691,"base":10}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1901,"base":10},"right_expr":{"type":"numeric_atoms","value":5214,"base":10}}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1572,"base":10},"right_expr":{"type":"numeric_atoms","value":1008,"base":10}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":2292,"base":10}}}}},"used_operators":["i8ToyICDmI","2td37pGCOC","W4YGzv6Whe","srAu1WTS94","2DQ55sFlQl","zVYPLywUTj","Ph9nP6C5qx","NTOWxs364D","X99M06cbEe"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"⊺⇮-4913","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1691","layer":4},{"info":"compute unary expreesion, input=1691, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-5073","layer":3},{"info":"number node, value=1901","layer":4},{"info":"number node, value=5214","layer":4},{"info":"compute binary expreesion, left_input=1901, right_input=5214, 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=-5073, right_input=160, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-4913","layer":2},{"info":"compute unary expreesion, input=-4913, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-4913","layer":1},{"info":"number node, value=1572","layer":4},{"info":"number node, value=1008","layer":4},{"info":"compute binary expreesion, left_input=1572, right_input=1008, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2701","layer":3},{"info":"number node, value=2292","layer":4},{"info":"compute unary expreesion, input=2292, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=5985","layer":3},{"info":"compute binary expreesion, left_input=-2701, right_input=5985, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5512","layer":2},{"info":"compute unary expreesion, input=5512, 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=-4913, right_input=0, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-4913","layer":0}],"base":10,"result_base":10,"text":"(⩦⩻⨪((⨵≀≌⊺⇮1691)+(⊺⇮1901⨵⪆⊺⇮5214)))∲⫓(((⊺⇮1572⩚⊴⇥⊺⇮1008)≧⫂∧(⊺⇮2292≫≃))⊪)=⊺⇮-4913","reverse_text":"⊺⇮-4913=(⩦⩻⨪((⨵≀≌⊺⇮1691)+(⊺⇮1901⨵⪆⊺⇮5214)))∲⫓(((⊺⇮1572⩚⊴⇥⊺⇮1008)≧⫂∧(⊺⇮2292≫≃))⊪)","cot":[{"info":"⨵≀≌⊺⇮1691=⊺⇮-5073","layer":3},{"info":"⊺⇮1901⨵⪆⊺⇮5214=⊺⇮160","layer":3},{"info":"⊺⇮-5073+⊺⇮160=⊺⇮-4913","layer":2},{"info":"⩦⩻⨪⊺⇮-4913=⊺⇮-4913","layer":1},{"info":"⊺⇮1572⩚⊴⇥⊺⇮1008=⊺⇮-2701","layer":3},{"info":"⊺⇮2292≫≃=⊺⇮5985","layer":3},{"info":"⊺⇮-2701≧⫂∧⊺⇮5985=⊺⇮5512","layer":2},{"info":"⊺⇮5512⊪=⊺⇮0","layer":1},{"info":"⊺⇮-4913∲⫓⊺⇮0=⊺⇮-4913","layer":0}]}
{"id":259,"expression_no_base_symbol":"(($4809$+$5589$)⨟⋌⩍($6389$⋝⋈⪟$2323$)⨎(($1050$⨐⩸⫘$3294$)⇋≉))⪛((($6090$⊪)⫡⨏($2543$⊠≄⫣))⩨($4879$⨐⩸⫘$7808$)⋳⪒($2739$⨵⪆$1835$))","expression":"((⊺⇮4809+⊺⇮5589)⨟⋌⩍(⊺⇮6389⋝⋈⪟⊺⇮2323)⨎((⊺⇮1050⨐⩸⫘⊺⇮3294)⇋≉))⪛(((⊺⇮6090⊪)⫡⨏(⊺⇮2543⊠≄⫣))⩨(⊺⇮4879⨐⩸⫘⊺⇮7808)⋳⪒(⊺⇮2739⨵⪆⊺⇮1835))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":70,"operation_count":14,"complexity_ratio":5.0,"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":4809,"base":10},"right_expr":{"type":"numeric_atoms","value":5589,"base":10}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":6389,"base":10},"right_expr":{"type":"numeric_atoms","value":2323,"base":10}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1050,"base":10},"right_expr":{"type":"numeric_atoms","value":3294,"base":10}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":6090,"base":10}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":2543,"base":10}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4879,"base":10},"right_expr":{"type":"numeric_atoms","value":7808,"base":10}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2739,"base":10},"right_expr":{"type":"numeric_atoms","value":1835,"base":10}}}}},"used_operators":["uFcxV4UQCh","rJVOvQCfKK","rGHVDoGpnC","W4YGzv6Whe","2DDjHMKMc0","XIabStNQrY","fu6greOZ01","2DlMacCsIx","QMFrweE19q","zVYPLywUTj","DIvbN7qnHd","12rbrZMWeM","2DQ55sFlQl"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4809","layer":4},{"info":"number node, value=5589","layer":4},{"info":"compute binary expreesion, left_input=4809, right_input=5589, op_id = W4YGzv6Whe binary_op_definition= 'None', output=10398","layer":3},{"info":"number node, value=6389","layer":4},{"info":"number node, value=2323","layer":4},{"info":"compute binary expreesion, left_input=6389, right_input=2323, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6389","layer":3},{"info":"compute binary expreesion, left_input=10398, right_input=6389, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1050","layer":4},{"info":"number node, value=3294","layer":4},{"info":"compute binary expreesion, left_input=1050, right_input=3294, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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 = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-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=6090","layer":4},{"info":"compute unary expreesion, input=6090, 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=2543","layer":4},{"info":"compute unary expreesion, input=2543, 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 = 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":2},{"info":"number node, value=4879","layer":4},{"info":"number node, value=7808","layer":4},{"info":"compute binary expreesion, left_input=4879, right_input=7808, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=2739","layer":4},{"info":"number node, value=1835","layer":4},{"info":"compute binary expreesion, left_input=2739, right_input=1835, 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 = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=783, 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 = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮4809+⊺⇮5589)⨟⋌⩍(⊺⇮6389⋝⋈⪟⊺⇮2323)⨎((⊺⇮1050⨐⩸⫘⊺⇮3294)⇋≉))⪛(((⊺⇮6090⊪)⫡⨏(⊺⇮2543⊠≄⫣))⩨(⊺⇮4879⨐⩸⫘⊺⇮7808)⋳⪒(⊺⇮2739⨵⪆⊺⇮1835))=NaN","reverse_text":"NaN=((⊺⇮4809+⊺⇮5589)⨟⋌⩍(⊺⇮6389⋝⋈⪟⊺⇮2323)⨎((⊺⇮1050⨐⩸⫘⊺⇮3294)⇋≉))⪛(((⊺⇮6090⊪)⫡⨏(⊺⇮2543⊠≄⫣))⩨(⊺⇮4879⨐⩸⫘⊺⇮7808)⋳⪒(⊺⇮2739⨵⪆⊺⇮1835))","cot":[{"info":"⊺⇮4809+⊺⇮5589=⊺⇮10398","layer":3},{"info":"⊺⇮6389⋝⋈⪟⊺⇮2323=⊺⇮6389","layer":3},{"info":"⊺⇮10398⨟⋌⩍⊺⇮6389=NaN","layer":2},{"info":"⊺⇮1050⨐⩸⫘⊺⇮3294=NaN","layer":3},{"info":"NaN⇋≉=NaN","layer":2},{"info":"NaN⨎NaN=NaN","layer":1},{"info":"⊺⇮6090⊪=⊺⇮0","layer":3},{"info":"⊺⇮2543⊠≄⫣=⊺⇮0","layer":3},{"info":"⊺⇮0⫡⨏⊺⇮0=⊺⇮783","layer":2},{"info":"⊺⇮4879⨐⩸⫘⊺⇮7808=NaN","layer":3},{"info":"⊺⇮2739⨵⪆⊺⇮1835=⊺⇮160","layer":3},{"info":"NaN⋳⪒⊺⇮160=NaN","layer":2},{"info":"⊺⇮783⩨NaN=NaN","layer":1},{"info":"NaN⪛NaN=NaN","layer":0}]}
{"id":260,"expression_no_base_symbol":"(⨑⩽⪐((⨞⊢$3350$)⋷(↯⪼$5944$)))⨟⋌⩍(($5395$*$5271$)⋥≓≎$1200$⨎$3199$)⨟⋌⩍(($4257$⋷$2297$)↺$3926$⇷$3756$)","expression":"(⨑⩽⪐((⨞⊢⊺⇮3350)⋷(↯⪼⊺⇮5944)))⨟⋌⩍((⊺⇮5395*⊺⇮5271)⋥≓≎⊺⇮1200⨎⊺⇮3199)⨟⋌⩍((⊺⇮4257⋷⊺⇮2297)↺⊺⇮3926⇷⊺⇮3756)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":60292,"operation_count":12,"complexity_ratio":5024.333333333333,"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":3350,"base":10}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":5944,"base":10}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":5395,"base":10},"right_expr":{"type":"numeric_atoms","value":5271,"base":10}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1200,"base":10},"right_expr":{"type":"numeric_atoms","value":3199,"base":10}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":4257,"base":10},"right_expr":{"type":"numeric_atoms","value":2297,"base":10}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3926,"base":10},"right_expr":{"type":"numeric_atoms","value":3756,"base":10}}}}},"used_operators":["rGHVDoGpnC","AF7qkfDlqP","23Mk6UjR3U","xUOZtlo3hN","8jW3W4yZS5","Qy55tPpLXF","9HNa5Wba9A","rJVOvQCfKK","7j4O788W3g","mp7IySMOzn"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3350","layer":4},{"info":"compute unary expreesion, input=3350, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-3524","layer":3},{"info":"number node, value=5944","layer":4},{"info":"compute unary expreesion, input=5944, 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=-3524, right_input=-21, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=7048","layer":2},{"info":"compute unary expreesion, input=7048, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-6775","layer":1},{"info":"number node, value=5395","layer":4},{"info":"number node, value=5271","layer":4},{"info":"compute binary expreesion, left_input=5395, right_input=5271, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=28437045","layer":3},{"info":"number node, value=1200","layer":4},{"info":"number node, value=3199","layer":4},{"info":"compute binary expreesion, left_input=1200, right_input=3199, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3199","layer":3},{"info":"compute binary expreesion, left_input=28437045, right_input=3199, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-28430614","layer":2},{"info":"number node, value=4257","layer":4},{"info":"number node, value=2297","layer":4},{"info":"compute binary expreesion, left_input=4257, right_input=2297, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=337","layer":3},{"info":"number node, value=3926","layer":4},{"info":"number node, value=3756","layer":4},{"info":"compute binary expreesion, left_input=3926, right_input=3756, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=7512","layer":3},{"info":"compute binary expreesion, left_input=337, right_input=7512, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=7512","layer":2},{"info":"compute binary expreesion, left_input=-28430614, right_input=7512, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=-6775, 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":10,"result_base":10,"text":"(⨑⩽⪐((⨞⊢⊺⇮3350)⋷(↯⪼⊺⇮5944)))⨟⋌⩍((⊺⇮5395*⊺⇮5271)⋥≓≎⊺⇮1200⨎⊺⇮3199)⨟⋌⩍((⊺⇮4257⋷⊺⇮2297)↺⊺⇮3926⇷⊺⇮3756)=NaN","reverse_text":"NaN=(⨑⩽⪐((⨞⊢⊺⇮3350)⋷(↯⪼⊺⇮5944)))⨟⋌⩍((⊺⇮5395*⊺⇮5271)⋥≓≎⊺⇮1200⨎⊺⇮3199)⨟⋌⩍((⊺⇮4257⋷⊺⇮2297)↺⊺⇮3926⇷⊺⇮3756)","cot":[{"info":"⨞⊢⊺⇮3350=⊺⇮-3524","layer":3},{"info":"↯⪼⊺⇮5944=⊺⇮-21","layer":3},{"info":"⊺⇮-3524⋷⊺⇮-21=⊺⇮7048","layer":2},{"info":"⨑⩽⪐⊺⇮7048=⊺⇮-6775","layer":1},{"info":"⊺⇮5395*⊺⇮5271=⊺⇮28437045","layer":3},{"info":"⊺⇮1200⨎⊺⇮3199=⊺⇮3199","layer":3},{"info":"⊺⇮28437045⋥≓≎⊺⇮3199=⊺⇮-28430614","layer":2},{"info":"⊺⇮4257⋷⊺⇮2297=⊺⇮337","layer":3},{"info":"⊺⇮3926⇷⊺⇮3756=⊺⇮7512","layer":3},{"info":"⊺⇮337↺⊺⇮7512=⊺⇮7512","layer":2},{"info":"⊺⇮-28430614⨟⋌⩍⊺⇮7512=NaN","layer":1},{"info":"⊺⇮-6775⨟⋌⩍NaN=NaN","layer":0}]}
{"id":261,"expression_no_base_symbol":"($5377$⋝⋈⪟$1747$⋷($7323$/$2827$))⨓(≦∁$1660$⨸⪁$4263$)≧⫂∧(-(⋗⩬⋾$5551$⨐⩸⫘$1112$))","expression":"(⊺⇮5377⋝⋈⪟⊺⇮1747⋷(⊺⇮7323/⊺⇮2827))⨓(≦∁⊺⇮1660⨸⪁⊺⇮4263)≧⫂∧(-(⋗⩬⋾⊺⇮5551⨐⩸⫘⊺⇮1112))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":11870,"operation_count":10,"complexity_ratio":1187.0,"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":5377,"base":10},"right_expr":{"type":"numeric_atoms","value":1747,"base":10}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":7323,"base":10},"right_expr":{"type":"numeric_atoms","value":2827,"base":10}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1660,"base":10},"right_expr":{"type":"numeric_atoms","value":4263,"base":10}}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":5551,"base":10},"right_expr":{"type":"numeric_atoms","value":1112,"base":10}}}}},"used_operators":["Ph9nP6C5qx","3ViojmjbAp","23Mk6UjR3U","2DDjHMKMc0","XhwjNDsVaA","9ICcGScMcE","g55IO6H4Gj","t8gj7n24qd","DpFCA1CohY","fu6greOZ01"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5377","layer":4},{"info":"number node, value=1747","layer":4},{"info":"compute binary expreesion, left_input=5377, right_input=1747, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5377","layer":3},{"info":"number node, value=7323","layer":4},{"info":"number node, value=2827","layer":4},{"info":"compute binary expreesion, left_input=7323, right_input=2827, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"compute binary expreesion, left_input=5377, right_input=2, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-5373","layer":2},{"info":"number node, value=1660","layer":4},{"info":"number node, value=4263","layer":4},{"info":"compute binary expreesion, left_input=1660, right_input=4263, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=11846","layer":3},{"info":"compute unary expreesion, input=11846, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=11846","layer":2},{"info":"compute binary expreesion, left_input=-5373, right_input=11846, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-11849","layer":1},{"info":"number node, value=5551","layer":4},{"info":"number node, value=1112","layer":4},{"info":"compute binary expreesion, left_input=5551, right_input=1112, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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 = 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 = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-11849, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮5377⋝⋈⪟⊺⇮1747⋷(⊺⇮7323/⊺⇮2827))⨓(≦∁⊺⇮1660⨸⪁⊺⇮4263)≧⫂∧(-(⋗⩬⋾⊺⇮5551⨐⩸⫘⊺⇮1112))=NaN","reverse_text":"NaN=(⊺⇮5377⋝⋈⪟⊺⇮1747⋷(⊺⇮7323/⊺⇮2827))⨓(≦∁⊺⇮1660⨸⪁⊺⇮4263)≧⫂∧(-(⋗⩬⋾⊺⇮5551⨐⩸⫘⊺⇮1112))","cot":[{"info":"⊺⇮5377⋝⋈⪟⊺⇮1747=⊺⇮5377","layer":3},{"info":"⊺⇮7323/⊺⇮2827=⊺⇮2","layer":3},{"info":"⊺⇮5377⋷⊺⇮2=⊺⇮-5373","layer":2},{"info":"⊺⇮1660⨸⪁⊺⇮4263=⊺⇮11846","layer":3},{"info":"≦∁⊺⇮11846=⊺⇮11846","layer":2},{"info":"⊺⇮-5373⨓⊺⇮11846=⊺⇮-11849","layer":1},{"info":"⊺⇮5551⨐⩸⫘⊺⇮1112=NaN","layer":3},{"info":"⋗⩬⋾NaN=NaN","layer":2},{"info":"-NaN=NaN","layer":1},{"info":"⊺⇮-11849≧⫂∧NaN=NaN","layer":0}]}
{"id":262,"expression_no_base_symbol":"((↣≠⋷$2348$)⩚⊴⇥(⨰⫟⨤$2707$)⨁⊸⫻)⪘⫢(↩($1559$⋓$4334$⨵⪆($2432$/$4233$)))","expression":"((↣≠⋷⊺⇮2348)⩚⊴⇥(⨰⫟⨤⊺⇮2707)⨁⊸⫻)⪘⫢(↩(⊺⇮1559⋓⊺⇮4334⨵⪆(⊺⇮2432/⊺⇮4233)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":10035,"operation_count":9,"complexity_ratio":1115.0,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2348,"base":10}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2707,"base":10}}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1559,"base":10},"right_expr":{"type":"numeric_atoms","value":4334,"base":10}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2432,"base":10},"right_expr":{"type":"numeric_atoms","value":4233,"base":10}}}}},"used_operators":["oacrs7FA3X","glklzrTFfD","NTOWxs364D","Asc51vEJeQ","Tw270M8GLb","jLgFTUHLKL","2DQ55sFlQl","T2fj7uvVaJ","XhwjNDsVaA"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","XhwjNDsVaA","AHs5Up7iyr","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2348","layer":4},{"info":"compute unary expreesion, input=2348, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=2707","layer":4},{"info":"compute unary expreesion, input=2707, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=nan","layer":1},{"info":"number node, value=1559","layer":4},{"info":"number node, value=4334","layer":4},{"info":"compute binary expreesion, left_input=1559, right_input=4334, op_id = T2fj7uvVaJ binary_op_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=2432","layer":4},{"info":"number node, value=4233","layer":4},{"info":"compute binary expreesion, left_input=2432, right_input=4233, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=1500","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1500, 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":10,"result_base":10,"text":"((↣≠⋷⊺⇮2348)⩚⊴⇥(⨰⫟⨤⊺⇮2707)⨁⊸⫻)⪘⫢(↩(⊺⇮1559⋓⊺⇮4334⨵⪆(⊺⇮2432/⊺⇮4233)))=NaN","reverse_text":"NaN=((↣≠⋷⊺⇮2348)⩚⊴⇥(⨰⫟⨤⊺⇮2707)⨁⊸⫻)⪘⫢(↩(⊺⇮1559⋓⊺⇮4334⨵⪆(⊺⇮2432/⊺⇮4233)))","cot":[{"info":"↣≠⋷⊺⇮2348=NaN","layer":3},{"info":"⨰⫟⨤⊺⇮2707=NaN","layer":3},{"info":"NaN⩚⊴⇥NaN=NaN","layer":2},{"info":"NaN⨁⊸⫻=NaN","layer":1},{"info":"⊺⇮1559⋓⊺⇮4334=⊺⇮0","layer":3},{"info":"⊺⇮2432/⊺⇮4233=⊺⇮0","layer":3},{"info":"⊺⇮0⨵⪆⊺⇮0=⊺⇮160","layer":2},{"info":"↩⊺⇮160=⊺⇮1500","layer":1},{"info":"NaN⪘⫢⊺⇮1500=NaN","layer":0}]}
{"id":263,"expression_no_base_symbol":"$2887$↬$1195$⋓($3071$⨎$9207$)⨎($3762$⇷$2661$)⪮%⊝($1730$⩚⊴⇥$6191$)⋳⪒($1821$⨰$6372$⫸⊐$6129$∑⇟⊟$2600$)⨟⋌⩍((∥⊫$2736$)⋥≓≎$4179$⋳⪒$5803$)","expression":"⊺⇮2887↬⊺⇮1195⋓(⊺⇮3071⨎⊺⇮9207)⨎(⊺⇮3762⇷⊺⇮2661)⪮%⊝(⊺⇮1730⩚⊴⇥⊺⇮6191)⋳⪒(⊺⇮1821⨰⊺⇮6372⫸⊐⊺⇮6129∑⇟⊟⊺⇮2600)⨟⋌⩍((∥⊫⊺⇮2736)⋥≓≎⊺⇮4179⋳⪒⊺⇮5803)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":57105,"operation_count":15,"complexity_ratio":3807.0,"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":2887,"base":10},"right_expr":{"type":"numeric_atoms","value":1195,"base":10}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3071,"base":10},"right_expr":{"type":"numeric_atoms","value":9207,"base":10}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3762,"base":10},"right_expr":{"type":"numeric_atoms","value":2661,"base":10}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1730,"base":10},"right_expr":{"type":"numeric_atoms","value":6191,"base":10}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1821,"base":10},"right_expr":{"type":"numeric_atoms","value":6372,"base":10}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":6129,"base":10},"right_expr":{"type":"numeric_atoms","value":2600,"base":10}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":2736,"base":10}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":4179,"base":10},"right_expr":{"type":"numeric_atoms","value":5803,"base":10}}}}},"used_operators":["12rbrZMWeM","rJVOvQCfKK","T2fj7uvVaJ","B5M0gjZbta","IWmyXbctLI","mp7IySMOzn","NTOWxs364D","rGHVDoGpnC","mqXw5SEYmG","eewbuw0ToL","U7g4x0WXJJ","Qy55tPpLXF","P8v4zCKN1o"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rGHVDoGpnC","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Tcnh7f0tEr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮21633","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2887","layer":4},{"info":"number node, value=1195","layer":4},{"info":"compute binary expreesion, left_input=2887, right_input=1195, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=3071","layer":4},{"info":"number node, value=9207","layer":4},{"info":"compute binary expreesion, left_input=3071, right_input=9207, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=9207","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=9207, op_id = T2fj7uvVaJ binary_op_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=3762","layer":4},{"info":"number node, value=2661","layer":4},{"info":"compute binary expreesion, left_input=3762, right_input=2661, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5322","layer":3},{"info":"number node, value=1730","layer":4},{"info":"number node, value=6191","layer":4},{"info":"compute binary expreesion, left_input=1730, right_input=6191, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8042","layer":3},{"info":"compute binary expreesion, left_input=5322, right_input=-8042, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=10960","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=10960, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=10960","layer":1},{"info":"number node, value=1821","layer":4},{"info":"number node, value=6372","layer":4},{"info":"compute binary expreesion, left_input=1821, right_input=6372, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-4541","layer":3},{"info":"number node, value=6129","layer":4},{"info":"number node, value=2600","layer":4},{"info":"compute binary expreesion, left_input=6129, right_input=2600, 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=-4541, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":2},{"info":"number node, value=2736","layer":4},{"info":"compute unary expreesion, input=2736, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3604","layer":3},{"info":"number node, value=4179","layer":4},{"info":"number node, value=5803","layer":4},{"info":"compute binary expreesion, left_input=4179, right_input=5803, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2268","layer":3},{"info":"compute binary expreesion, left_input=3604, right_input=2268, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=965","layer":2},{"info":"compute binary expreesion, left_input=968, right_input=965, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=10960, right_input=0, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=21633","layer":0}],"base":10,"result_base":10,"text":"⊺⇮2887↬⊺⇮1195⋓(⊺⇮3071⨎⊺⇮9207)⨎(⊺⇮3762⇷⊺⇮2661)⪮%⊝(⊺⇮1730⩚⊴⇥⊺⇮6191)⋳⪒(⊺⇮1821⨰⊺⇮6372⫸⊐⊺⇮6129∑⇟⊟⊺⇮2600)⨟⋌⩍((∥⊫⊺⇮2736)⋥≓≎⊺⇮4179⋳⪒⊺⇮5803)=⊺⇮21633","reverse_text":"⊺⇮21633=⊺⇮2887↬⊺⇮1195⋓(⊺⇮3071⨎⊺⇮9207)⨎(⊺⇮3762⇷⊺⇮2661)⪮%⊝(⊺⇮1730⩚⊴⇥⊺⇮6191)⋳⪒(⊺⇮1821⨰⊺⇮6372⫸⊐⊺⇮6129∑⇟⊟⊺⇮2600)⨟⋌⩍((∥⊫⊺⇮2736)⋥≓≎⊺⇮4179⋳⪒⊺⇮5803)","cot":[{"info":"⊺⇮2887↬⊺⇮1195=NaN","layer":3},{"info":"⊺⇮3071⨎⊺⇮9207=⊺⇮9207","layer":3},{"info":"NaN⋓⊺⇮9207=⊺⇮0","layer":2},{"info":"⊺⇮3762⇷⊺⇮2661=⊺⇮5322","layer":3},{"info":"⊺⇮1730⩚⊴⇥⊺⇮6191=⊺⇮-8042","layer":3},{"info":"⊺⇮5322⪮%⊝⊺⇮-8042=⊺⇮10960","layer":2},{"info":"⊺⇮0⨎⊺⇮10960=⊺⇮10960","layer":1},{"info":"⊺⇮1821⨰⊺⇮6372=⊺⇮-4541","layer":3},{"info":"⊺⇮6129∑⇟⊟⊺⇮2600=NaN","layer":3},{"info":"⊺⇮-4541⫸⊐NaN=⊺⇮968","layer":2},{"info":"∥⊫⊺⇮2736=⊺⇮3604","layer":3},{"info":"⊺⇮4179⋳⪒⊺⇮5803=⊺⇮2268","layer":3},{"info":"⊺⇮3604⋥≓≎⊺⇮2268=⊺⇮965","layer":2},{"info":"⊺⇮968⨟⋌⩍⊺⇮965=⊺⇮0","layer":1},{"info":"⊺⇮10960⋳⪒⊺⇮0=⊺⇮21633","layer":0}]}
{"id":264,"expression_no_base_symbol":"($4977$⇷$2653$⋓($2923$⪒$1259$))∑⇟⊟(($7068$⪄$5188$)≧⫂∧($1360$⊦⊿))⨰((-(⨑⩽⪐$1515$))≭(($3091$↺$3470$)⨽$1086$≭$2284$))","expression":"(⊺⇮4977⇷⊺⇮2653⋓(⊺⇮2923⪒⊺⇮1259))∑⇟⊟((⊺⇮7068⪄⊺⇮5188)≧⫂∧(⊺⇮1360⊦⊿))⨰((-(⨑⩽⪐⊺⇮1515))≭((⊺⇮3091↺⊺⇮3470)⨽⊺⇮1086≭⊺⇮2284))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":73298,"operation_count":14,"complexity_ratio":5235.571428571428,"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":4977,"base":10},"right_expr":{"type":"numeric_atoms","value":2653,"base":10}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2923,"base":10},"right_expr":{"type":"numeric_atoms","value":1259,"base":10}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":7068,"base":10},"right_expr":{"type":"numeric_atoms","value":5188,"base":10}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1360,"base":10}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1515,"base":10}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3091,"base":10},"right_expr":{"type":"numeric_atoms","value":3470,"base":10}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1086,"base":10},"right_expr":{"type":"numeric_atoms","value":2284,"base":10}}}}},"used_operators":["eewbuw0ToL","U7g4x0WXJJ","T2fj7uvVaJ","mp7IySMOzn","f6k1SAg4EE","Ph9nP6C5qx","SUmda5xLS4","14qkJME0vr","rxpJgHHUmx","t8gj7n24qd","AF7qkfDlqP","8HhzD0ZcuI","7j4O788W3g"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4977","layer":4},{"info":"number node, value=2653","layer":4},{"info":"compute binary expreesion, left_input=4977, right_input=2653, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5306","layer":3},{"info":"number node, value=2923","layer":4},{"info":"number node, value=1259","layer":4},{"info":"compute binary expreesion, left_input=2923, right_input=1259, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4182","layer":3},{"info":"compute binary expreesion, left_input=5306, right_input=-4182, op_id = T2fj7uvVaJ binary_op_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=7068","layer":4},{"info":"number node, value=5188","layer":4},{"info":"compute binary expreesion, left_input=7068, right_input=5188, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1062905","layer":3},{"info":"number node, value=1360","layer":4},{"info":"compute unary expreesion, input=1360, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-4159","layer":3},{"info":"compute binary expreesion, left_input=-1062905, right_input=-4159, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-1058746","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-1058746, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=1515","layer":4},{"info":"compute unary expreesion, input=1515, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1242","layer":3},{"info":"compute unary expreesion, input=-1242, op_id = t8gj7n24qd, unary_op_definition = 'None', output=1242","layer":2},{"info":"number node, value=3091","layer":4},{"info":"number node, value=3470","layer":4},{"info":"compute binary expreesion, left_input=3091, right_input=3470, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3470","layer":3},{"info":"number node, value=1086","layer":4},{"info":"number node, value=2284","layer":4},{"info":"compute binary expreesion, left_input=1086, right_input=2284, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=3470, 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=1242, 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 = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮4977⇷⊺⇮2653⋓(⊺⇮2923⪒⊺⇮1259))∑⇟⊟((⊺⇮7068⪄⊺⇮5188)≧⫂∧(⊺⇮1360⊦⊿))⨰((-(⨑⩽⪐⊺⇮1515))≭((⊺⇮3091↺⊺⇮3470)⨽⊺⇮1086≭⊺⇮2284))=NaN","reverse_text":"NaN=(⊺⇮4977⇷⊺⇮2653⋓(⊺⇮2923⪒⊺⇮1259))∑⇟⊟((⊺⇮7068⪄⊺⇮5188)≧⫂∧(⊺⇮1360⊦⊿))⨰((-(⨑⩽⪐⊺⇮1515))≭((⊺⇮3091↺⊺⇮3470)⨽⊺⇮1086≭⊺⇮2284))","cot":[{"info":"⊺⇮4977⇷⊺⇮2653=⊺⇮5306","layer":3},{"info":"⊺⇮2923⪒⊺⇮1259=⊺⇮-4182","layer":3},{"info":"⊺⇮5306⋓⊺⇮-4182=⊺⇮0","layer":2},{"info":"⊺⇮7068⪄⊺⇮5188=⊺⇮-1062905","layer":3},{"info":"⊺⇮1360⊦⊿=⊺⇮-4159","layer":3},{"info":"⊺⇮-1062905≧⫂∧⊺⇮-4159=⊺⇮-1058746","layer":2},{"info":"⊺⇮0∑⇟⊟⊺⇮-1058746=NaN","layer":1},{"info":"⨑⩽⪐⊺⇮1515=⊺⇮-1242","layer":3},{"info":"-⊺⇮-1242=⊺⇮1242","layer":2},{"info":"⊺⇮3091↺⊺⇮3470=⊺⇮3470","layer":3},{"info":"⊺⇮1086≭⊺⇮2284=NaN","layer":3},{"info":"⊺⇮3470⨽NaN=NaN","layer":2},{"info":"⊺⇮1242≭NaN=NaN","layer":1},{"info":"NaN⨰NaN=NaN","layer":0}]}
{"id":265,"expression_no_base_symbol":"(↯⪼($8070$⋝⋈⪟$7249$⋝⋈⪟($1602$⫸⊐$1034$)))⪘⫢(($6370$⨓$2903$)⨪↰⇹($3895$⪄$2426$)⩨(≉($2113$+$4572$)))","expression":"(↯⪼(⊺⇮8070⋝⋈⪟⊺⇮7249⋝⋈⪟(⊺⇮1602⫸⊐⊺⇮1034)))⪘⫢((⊺⇮6370⨓⊺⇮2903)⨪↰⇹(⊺⇮3895⪄⊺⇮2426)⩨(≉(⊺⇮2113+⊺⇮4572)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5988,"operation_count":11,"complexity_ratio":544.3636363636364,"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":8070,"base":10},"right_expr":{"type":"numeric_atoms","value":7249,"base":10}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1602,"base":10},"right_expr":{"type":"numeric_atoms","value":1034,"base":10}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":6370,"base":10},"right_expr":{"type":"numeric_atoms","value":2903,"base":10}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3895,"base":10},"right_expr":{"type":"numeric_atoms","value":2426,"base":10}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2113,"base":10},"right_expr":{"type":"numeric_atoms","value":4572,"base":10}}}}},"used_operators":["oacrs7FA3X","8jW3W4yZS5","2DDjHMKMc0","mqXw5SEYmG","2DlMacCsIx","tmPS8pqC7x","3ViojmjbAp","SUmda5xLS4","e1ybzncUwg","W4YGzv6Whe"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rJVOvQCfKK","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=8070","layer":4},{"info":"number node, value=7249","layer":4},{"info":"compute binary expreesion, left_input=8070, right_input=7249, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=8070","layer":3},{"info":"number node, value=1602","layer":4},{"info":"number node, value=1034","layer":4},{"info":"compute binary expreesion, left_input=1602, right_input=1034, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4011","layer":3},{"info":"compute binary expreesion, left_input=8070, right_input=4011, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=8070","layer":2},{"info":"compute unary expreesion, input=8070, 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=6370","layer":4},{"info":"number node, value=2903","layer":4},{"info":"compute binary expreesion, left_input=6370, right_input=2903, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2906","layer":3},{"info":"number node, value=3895","layer":4},{"info":"number node, value=2426","layer":4},{"info":"compute binary expreesion, left_input=3895, right_input=2426, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-582253","layer":3},{"info":"compute binary expreesion, left_input=-2906, right_input=-582253, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=-2906","layer":2},{"info":"number node, value=2113","layer":4},{"info":"number node, value=4572","layer":4},{"info":"compute binary expreesion, left_input=2113, right_input=4572, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6685","layer":3},{"info":"compute unary expreesion, input=6685, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=7216","layer":2},{"info":"compute binary expreesion, left_input=-2906, right_input=7216, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=9","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=9, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=0","layer":0}],"base":10,"result_base":10,"text":"(↯⪼(⊺⇮8070⋝⋈⪟⊺⇮7249⋝⋈⪟(⊺⇮1602⫸⊐⊺⇮1034)))⪘⫢((⊺⇮6370⨓⊺⇮2903)⨪↰⇹(⊺⇮3895⪄⊺⇮2426)⩨(≉(⊺⇮2113+⊺⇮4572)))=⊺⇮0","reverse_text":"⊺⇮0=(↯⪼(⊺⇮8070⋝⋈⪟⊺⇮7249⋝⋈⪟(⊺⇮1602⫸⊐⊺⇮1034)))⪘⫢((⊺⇮6370⨓⊺⇮2903)⨪↰⇹(⊺⇮3895⪄⊺⇮2426)⩨(≉(⊺⇮2113+⊺⇮4572)))","cot":[{"info":"⊺⇮8070⋝⋈⪟⊺⇮7249=⊺⇮8070","layer":3},{"info":"⊺⇮1602⫸⊐⊺⇮1034=⊺⇮4011","layer":3},{"info":"⊺⇮8070⋝⋈⪟⊺⇮4011=⊺⇮8070","layer":2},{"info":"↯⪼⊺⇮8070=⊺⇮-21","layer":1},{"info":"⊺⇮6370⨓⊺⇮2903=⊺⇮-2906","layer":3},{"info":"⊺⇮3895⪄⊺⇮2426=⊺⇮-582253","layer":3},{"info":"⊺⇮-2906⨪↰⇹⊺⇮-582253=⊺⇮-2906","layer":2},{"info":"⊺⇮2113+⊺⇮4572=⊺⇮6685","layer":3},{"info":"≉⊺⇮6685=⊺⇮7216","layer":2},{"info":"⊺⇮-2906⩨⊺⇮7216=⊺⇮9","layer":1},{"info":"⊺⇮-21⪘⫢⊺⇮9=⊺⇮0","layer":0}]}
{"id":266,"expression_no_base_symbol":"≦∁(($2579$↺$1315$)⨐⩸⫘$6722$⋥≓≎$6497$)⪮%⊝(-(⨑⩽⪐$1240$))","expression":"≦∁((⊺⇮2579↺⊺⇮1315)⨐⩸⫘⊺⇮6722⋥≓≎⊺⇮6497)⪮%⊝(-(⨑⩽⪐⊺⇮1240))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":22,"operation_count":7,"complexity_ratio":3.142857142857143,"tree":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2579,"base":10},"right_expr":{"type":"numeric_atoms","value":1315,"base":10}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":6722,"base":10},"right_expr":{"type":"numeric_atoms","value":6497,"base":10}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1240,"base":10}}}}},"used_operators":["9ICcGScMcE","IWmyXbctLI","fu6greOZ01","7j4O788W3g","Qy55tPpLXF","t8gj7n24qd","AF7qkfDlqP"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=2579","layer":4},{"info":"number node, value=1315","layer":4},{"info":"compute binary expreesion, left_input=2579, right_input=1315, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1315","layer":3},{"info":"number node, value=6722","layer":4},{"info":"number node, value=6497","layer":4},{"info":"compute binary expreesion, left_input=6722, right_input=6497, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=6305","layer":3},{"info":"compute binary expreesion, left_input=1315, right_input=6305, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=1240","layer":4},{"info":"compute unary expreesion, input=1240, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-967","layer":3},{"info":"compute unary expreesion, input=-967, op_id = t8gj7n24qd, unary_op_definition = 'None', output=967","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=967, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', 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":10,"result_base":10,"text":"≦∁((⊺⇮2579↺⊺⇮1315)⨐⩸⫘⊺⇮6722⋥≓≎⊺⇮6497)⪮%⊝(-(⨑⩽⪐⊺⇮1240))=NaN","reverse_text":"NaN=≦∁((⊺⇮2579↺⊺⇮1315)⨐⩸⫘⊺⇮6722⋥≓≎⊺⇮6497)⪮%⊝(-(⨑⩽⪐⊺⇮1240))","cot":[{"info":"⊺⇮2579↺⊺⇮1315=⊺⇮1315","layer":3},{"info":"⊺⇮6722⋥≓≎⊺⇮6497=⊺⇮6305","layer":3},{"info":"⊺⇮1315⨐⩸⫘⊺⇮6305=NaN","layer":2},{"info":"⨑⩽⪐⊺⇮1240=⊺⇮-967","layer":3},{"info":"-⊺⇮-967=⊺⇮967","layer":2},{"info":"NaN⪮%⊝⊺⇮967=NaN","layer":1},{"info":"≦∁NaN=NaN","layer":0}]}
{"id":267,"expression_no_base_symbol":"((⇁⨣⪵$3574$)⨳⩥⨓$1644$⇷$1991$)⨐⩸⫘($3722$⨳⩥⨓$3173$*$2228$≭$2744$)⪨≂($2445$⨳⩥⨓$2234$↙($1260$⊭↱$6227$)⨵⪆($7526$⊉≛↸$1382$)∼$1842$≹⇙⪍$3642$)","expression":"((⇁⨣⪵⊺⇮3574)⨳⩥⨓⊺⇮1644⇷⊺⇮1991)⨐⩸⫘(⊺⇮3722⨳⩥⨓⊺⇮3173*⊺⇮2228≭⊺⇮2744)⪨≂(⊺⇮2445⨳⩥⨓⊺⇮2234↙(⊺⇮1260⊭↱⊺⇮6227)⨵⪆(⊺⇮7526⊉≛↸⊺⇮1382)∼⊺⇮1842≹⇙⪍⊺⇮3642)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":23348,"operation_count":15,"complexity_ratio":1556.5333333333333,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":3574,"base":10}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1644,"base":10},"right_expr":{"type":"numeric_atoms","value":1991,"base":10}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3722,"base":10},"right_expr":{"type":"numeric_atoms","value":3173,"base":10}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2228,"base":10},"right_expr":{"type":"numeric_atoms","value":2744,"base":10}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2445,"base":10},"right_expr":{"type":"numeric_atoms","value":2234,"base":10}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1260,"base":10},"right_expr":{"type":"numeric_atoms","value":6227,"base":10}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":7526,"base":10},"right_expr":{"type":"numeric_atoms","value":1382,"base":10}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1842,"base":10},"right_expr":{"type":"numeric_atoms","value":3642,"base":10}}}}},"used_operators":["sdazOOVcIp","fu6greOZ01","nCS4ZIUYfx","inkyxCbjAn","mp7IySMOzn","9HNa5Wba9A","rxpJgHHUmx","2DQ55sFlQl","yyfyN0ffXY","COABgblf1C","DyGG3AbaNP","DZ8iAZOCBD","AHs5Up7iyr"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","B5M0gjZbta","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3574","layer":4},{"info":"compute unary expreesion, input=3574, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=1644","layer":4},{"info":"number node, value=1991","layer":4},{"info":"compute binary expreesion, left_input=1644, right_input=1991, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3982","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3982, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"number node, value=3722","layer":4},{"info":"number node, value=3173","layer":4},{"info":"compute binary expreesion, left_input=3722, right_input=3173, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-549","layer":3},{"info":"number node, value=2228","layer":4},{"info":"number node, value=2744","layer":4},{"info":"compute binary expreesion, left_input=2228, right_input=2744, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=-549, 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 = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=2445","layer":4},{"info":"number node, value=2234","layer":4},{"info":"compute binary expreesion, left_input=2445, right_input=2234, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-211","layer":3},{"info":"number node, value=1260","layer":4},{"info":"number node, value=6227","layer":4},{"info":"compute binary expreesion, left_input=1260, right_input=6227, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=9939","layer":3},{"info":"compute binary expreesion, left_input=-211, right_input=9939, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-211","layer":2},{"info":"number node, value=7526","layer":4},{"info":"number node, value=1382","layer":4},{"info":"compute binary expreesion, left_input=7526, right_input=1382, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=15052","layer":3},{"info":"number node, value=1842","layer":4},{"info":"number node, value=3642","layer":4},{"info":"compute binary expreesion, left_input=1842, right_input=3642, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=15052, 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=-211, 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 = 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":10,"result_base":10,"text":"((⇁⨣⪵⊺⇮3574)⨳⩥⨓⊺⇮1644⇷⊺⇮1991)⨐⩸⫘(⊺⇮3722⨳⩥⨓⊺⇮3173*⊺⇮2228≭⊺⇮2744)⪨≂(⊺⇮2445⨳⩥⨓⊺⇮2234↙(⊺⇮1260⊭↱⊺⇮6227)⨵⪆(⊺⇮7526⊉≛↸⊺⇮1382)∼⊺⇮1842≹⇙⪍⊺⇮3642)=NaN","reverse_text":"NaN=((⇁⨣⪵⊺⇮3574)⨳⩥⨓⊺⇮1644⇷⊺⇮1991)⨐⩸⫘(⊺⇮3722⨳⩥⨓⊺⇮3173*⊺⇮2228≭⊺⇮2744)⪨≂(⊺⇮2445⨳⩥⨓⊺⇮2234↙(⊺⇮1260⊭↱⊺⇮6227)⨵⪆(⊺⇮7526⊉≛↸⊺⇮1382)∼⊺⇮1842≹⇙⪍⊺⇮3642)","cot":[{"info":"⇁⨣⪵⊺⇮3574=NaN","layer":3},{"info":"⊺⇮1644⇷⊺⇮1991=⊺⇮3982","layer":3},{"info":"NaN⨳⩥⨓⊺⇮3982=NaN","layer":2},{"info":"⊺⇮3722⨳⩥⨓⊺⇮3173=⊺⇮-549","layer":3},{"info":"⊺⇮2228≭⊺⇮2744=NaN","layer":3},{"info":"⊺⇮-549*NaN=NaN","layer":2},{"info":"NaN⨐⩸⫘NaN=NaN","layer":1},{"info":"⊺⇮2445⨳⩥⨓⊺⇮2234=⊺⇮-211","layer":3},{"info":"⊺⇮1260⊭↱⊺⇮6227=⊺⇮9939","layer":3},{"info":"⊺⇮-211↙⊺⇮9939=⊺⇮-211","layer":2},{"info":"⊺⇮7526⊉≛↸⊺⇮1382=⊺⇮15052","layer":3},{"info":"⊺⇮1842≹⇙⪍⊺⇮3642=NaN","layer":3},{"info":"⊺⇮15052∼NaN=NaN","layer":2},{"info":"⊺⇮-211⨵⪆NaN=⊺⇮160","layer":1},{"info":"NaN⪨≂⊺⇮160=NaN","layer":0}]}
{"id":268,"expression_no_base_symbol":"∥⊫(($2911$⇼⇔∾$1148$)+⇶⊼(≉$4746$)⊭↱(⫛⫱⨽$4770$)⊴($2045$⨁⊸⫻))","expression":"∥⊫((⊺⇮2911⇼⇔∾⊺⇮1148)+⇶⊼(≉⊺⇮4746)⊭↱(⫛⫱⨽⊺⇮4770)⊴(⊺⇮2045⨁⊸⫻))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3488,"operation_count":8,"complexity_ratio":436.0,"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":2911,"base":10},"right_expr":{"type":"numeric_atoms","value":1148,"base":10}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":4746,"base":10}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":4770,"base":10}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":2045,"base":10}}}}},"used_operators":["P8v4zCKN1o","COABgblf1C","TpPTUOHfaN","tifHPKVTfV","e1ybzncUwg","Nsiff2A1zJ","DlLNRPXxWL","glklzrTFfD"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2911","layer":4},{"info":"number node, value=1148","layer":4},{"info":"compute binary expreesion, left_input=2911, right_input=1148, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1763","layer":3},{"info":"number node, value=4746","layer":4},{"info":"compute unary expreesion, input=4746, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=5277","layer":3},{"info":"compute binary expreesion, left_input=-1763, right_input=5277, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=4770","layer":4},{"info":"compute unary expreesion, input=4770, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=2045","layer":4},{"info":"compute unary expreesion, input=2045, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=2045","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2045, 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 = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', 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":10,"result_base":10,"text":"∥⊫((⊺⇮2911⇼⇔∾⊺⇮1148)+⇶⊼(≉⊺⇮4746)⊭↱(⫛⫱⨽⊺⇮4770)⊴(⊺⇮2045⨁⊸⫻))=NaN","reverse_text":"NaN=∥⊫((⊺⇮2911⇼⇔∾⊺⇮1148)+⇶⊼(≉⊺⇮4746)⊭↱(⫛⫱⨽⊺⇮4770)⊴(⊺⇮2045⨁⊸⫻))","cot":[{"info":"⊺⇮2911⇼⇔∾⊺⇮1148=⊺⇮-1763","layer":3},{"info":"≉⊺⇮4746=⊺⇮5277","layer":3},{"info":"⊺⇮-1763+⇶⊼⊺⇮5277=NaN","layer":2},{"info":"⫛⫱⨽⊺⇮4770=⊺⇮0","layer":3},{"info":"⊺⇮2045⨁⊸⫻=⊺⇮2045","layer":3},{"info":"⊺⇮0⊴⊺⇮2045=NaN","layer":2},{"info":"NaN⊭↱NaN=NaN","layer":1},{"info":"∥⊫NaN=NaN","layer":0}]}
{"id":269,"expression_no_base_symbol":"($5999$≹⇙⪍$4040$⨵⪆$2211$⨸⪁$1236$/$4886$⨓$1728$⪒(⪝⪂⫅$1602$))⇼⇔∾($3078$⋷$1491$)⨰($1578$⨎$1820$)⫥∨⫟(⨞⊢(∂$3193$))","expression":"(⊺⇮5999≹⇙⪍⊺⇮4040⨵⪆⊺⇮2211⨸⪁⊺⇮1236/⊺⇮4886⨓⊺⇮1728⪒(⪝⪂⫅⊺⇮1602))⇼⇔∾(⊺⇮3078⋷⊺⇮1491)⨰(⊺⇮1578⨎⊺⇮1820)⫥∨⫟(⨞⊢(∂⊺⇮3193))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2062,"operation_count":14,"complexity_ratio":147.28571428571428,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5999,"base":10},"right_expr":{"type":"numeric_atoms","value":4040,"base":10}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2211,"base":10},"right_expr":{"type":"numeric_atoms","value":1236,"base":10}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":4886,"base":10},"right_expr":{"type":"numeric_atoms","value":1728,"base":10}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1602,"base":10}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3078,"base":10},"right_expr":{"type":"numeric_atoms","value":1491,"base":10}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1578,"base":10},"right_expr":{"type":"numeric_atoms","value":1820,"base":10}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":3193,"base":10}}}}},"used_operators":["tifHPKVTfV","XhwjNDsVaA","2DQ55sFlQl","AHs5Up7iyr","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","XTarYq4gQB","KYD54nUTWz","eewbuw0ToL","23Mk6UjR3U","rJVOvQCfKK","xUOZtlo3hN","Uaa54Peajs"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9HNa5Wba9A","8w2t5hMYqp","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5999","layer":4},{"info":"number node, value=4040","layer":4},{"info":"compute binary expreesion, left_input=5999, right_input=4040, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=2211","layer":4},{"info":"number node, value=1236","layer":4},{"info":"compute binary expreesion, left_input=2211, right_input=1236, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=6894","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6894, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=4886","layer":4},{"info":"number node, value=1728","layer":4},{"info":"compute binary expreesion, left_input=4886, right_input=1728, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1731","layer":3},{"info":"number node, value=1602","layer":4},{"info":"compute unary expreesion, input=1602, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-235494","layer":3},{"info":"compute binary expreesion, left_input=-1731, right_input=-235494, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=237225","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=237225, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"number node, value=3078","layer":4},{"info":"number node, value=1491","layer":4},{"info":"compute binary expreesion, left_input=3078, right_input=1491, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-96","layer":3},{"info":"number node, value=1578","layer":4},{"info":"number node, value=1820","layer":4},{"info":"compute binary expreesion, left_input=1578, right_input=1820, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1820","layer":3},{"info":"compute binary expreesion, left_input=-96, right_input=1820, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1906","layer":2},{"info":"number node, value=3193","layer":4},{"info":"compute unary expreesion, input=3193, 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 = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1906, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽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":10,"result_base":10,"text":"(⊺⇮5999≹⇙⪍⊺⇮4040⨵⪆⊺⇮2211⨸⪁⊺⇮1236/⊺⇮4886⨓⊺⇮1728⪒(⪝⪂⫅⊺⇮1602))⇼⇔∾(⊺⇮3078⋷⊺⇮1491)⨰(⊺⇮1578⨎⊺⇮1820)⫥∨⫟(⨞⊢(∂⊺⇮3193))=NaN","reverse_text":"NaN=(⊺⇮5999≹⇙⪍⊺⇮4040⨵⪆⊺⇮2211⨸⪁⊺⇮1236/⊺⇮4886⨓⊺⇮1728⪒(⪝⪂⫅⊺⇮1602))⇼⇔∾(⊺⇮3078⋷⊺⇮1491)⨰(⊺⇮1578⨎⊺⇮1820)⫥∨⫟(⨞⊢(∂⊺⇮3193))","cot":[{"info":"⊺⇮5999≹⇙⪍⊺⇮4040=NaN","layer":3},{"info":"⊺⇮2211⨸⪁⊺⇮1236=⊺⇮6894","layer":3},{"info":"NaN⨵⪆⊺⇮6894=⊺⇮160","layer":2},{"info":"⊺⇮4886⨓⊺⇮1728=⊺⇮-1731","layer":3},{"info":"⪝⪂⫅⊺⇮1602=⊺⇮-235494","layer":3},{"info":"⊺⇮-1731⪒⊺⇮-235494=⊺⇮237225","layer":2},{"info":"⊺⇮160/⊺⇮237225=⊺⇮0","layer":1},{"info":"⊺⇮3078⋷⊺⇮1491=⊺⇮-96","layer":3},{"info":"⊺⇮1578⨎⊺⇮1820=⊺⇮1820","layer":3},{"info":"⊺⇮-96⨰⊺⇮1820=⊺⇮-1906","layer":2},{"info":"∂⊺⇮3193=NaN","layer":3},{"info":"⨞⊢NaN=NaN","layer":2},{"info":"⊺⇮-1906⫥∨⫟NaN=NaN","layer":1},{"info":"⊺⇮0⇼⇔∾NaN=NaN","layer":0}]}
{"id":270,"expression_no_base_symbol":"⨰⫟⨤((+⊝⨔$1471$)⫥∨⫟(⊙↵-$2258$)⊉≛↸($3639$≦≮≮)↙$2974$≎⊠⪸$6084$)","expression":"⨰⫟⨤((+⊝⨔⊺⇮1471)⫥∨⫟(⊙↵-⊺⇮2258)⊉≛↸(⊺⇮3639≦≮≮)↙⊺⇮2974≎⊠⪸⊺⇮6084)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2803,"operation_count":8,"complexity_ratio":350.375,"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":1471,"base":10}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2258,"base":10}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":3639,"base":10}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2974,"base":10},"right_expr":{"type":"numeric_atoms","value":6084,"base":10}}}}},"used_operators":["Tw270M8GLb","DZ8iAZOCBD","KYD54nUTWz","DhbWaqg5eL","oWn0xqSxBt","yyfyN0ffXY","D4vGDi5EA2","bJkvcejdHO"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1471","layer":4},{"info":"compute unary expreesion, input=1471, 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=2258","layer":4},{"info":"compute unary expreesion, input=2258, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=-1, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=3639","layer":4},{"info":"compute unary expreesion, input=3639, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-10917","layer":3},{"info":"number node, value=2974","layer":4},{"info":"number node, value=6084","layer":4},{"info":"compute binary expreesion, left_input=2974, right_input=6084, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=769793","layer":3},{"info":"compute binary expreesion, left_input=-10917, right_input=769793, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-10917","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-10917, 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 = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⨰⫟⨤((+⊝⨔⊺⇮1471)⫥∨⫟(⊙↵-⊺⇮2258)⊉≛↸(⊺⇮3639≦≮≮)↙⊺⇮2974≎⊠⪸⊺⇮6084)=NaN","reverse_text":"NaN=⨰⫟⨤((+⊝⨔⊺⇮1471)⫥∨⫟(⊙↵-⊺⇮2258)⊉≛↸(⊺⇮3639≦≮≮)↙⊺⇮2974≎⊠⪸⊺⇮6084)","cot":[{"info":"+⊝⨔⊺⇮1471=⊺⇮1522","layer":3},{"info":"⊙↵-⊺⇮2258=⊺⇮-1","layer":3},{"info":"⊺⇮1522⫥∨⫟⊺⇮-1=NaN","layer":2},{"info":"⊺⇮3639≦≮≮=⊺⇮-10917","layer":3},{"info":"⊺⇮2974≎⊠⪸⊺⇮6084=⊺⇮769793","layer":3},{"info":"⊺⇮-10917↙⊺⇮769793=⊺⇮-10917","layer":2},{"info":"NaN⊉≛↸⊺⇮-10917=NaN","layer":1},{"info":"⨰⫟⨤NaN=NaN","layer":0}]}
{"id":271,"expression_no_base_symbol":"((⊙↵-$1933$)*$6752$⨟⋌⩍$7873$↛⩡⫤)⊉≛↸(($1807$⫡⨏$1462$⫡⨏$3012$⨸⪁$3181$)⪒(⪝⪂⫅$9110$)⇼⇔∾($1479$⨵⪆$2106$))","expression":"((⊙↵-⊺⇮1933)*⊺⇮6752⨟⋌⩍⊺⇮7873↛⩡⫤)⊉≛↸((⊺⇮1807⫡⨏⊺⇮1462⫡⨏⊺⇮3012⨸⪁⊺⇮3181)⪒(⪝⪂⫅⊺⇮9110)⇼⇔∾(⊺⇮1479⨵⪆⊺⇮2106))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2219,"operation_count":12,"complexity_ratio":184.91666666666666,"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":1933,"base":10}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":6752,"base":10},"right_expr":{"type":"numeric_atoms","value":7873,"base":10}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1807,"base":10},"right_expr":{"type":"numeric_atoms","value":1462,"base":10}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3012,"base":10},"right_expr":{"type":"numeric_atoms","value":3181,"base":10}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":9110,"base":10}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1479,"base":10},"right_expr":{"type":"numeric_atoms","value":2106,"base":10}}}}},"used_operators":["DZ8iAZOCBD","FU0Cs4j7VP","9HNa5Wba9A","oWn0xqSxBt","rGHVDoGpnC","f6k1SAg4EE","QMFrweE19q","g55IO6H4Gj","tifHPKVTfV","XTarYq4gQB","2DQ55sFlQl"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1933","layer":4},{"info":"compute unary expreesion, input=1933, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=6752","layer":4},{"info":"number node, value=7873","layer":4},{"info":"compute binary expreesion, left_input=6752, right_input=7873, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=-1, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', 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=1807","layer":4},{"info":"number node, value=1462","layer":4},{"info":"compute binary expreesion, left_input=1807, right_input=1462, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=12742","layer":3},{"info":"number node, value=3012","layer":4},{"info":"number node, value=3181","layer":4},{"info":"compute binary expreesion, left_input=3012, right_input=3181, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=12386","layer":3},{"info":"compute binary expreesion, left_input=12742, right_input=12386, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=89265","layer":2},{"info":"number node, value=9110","layer":4},{"info":"compute unary expreesion, input=9110, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-1339170","layer":3},{"info":"number node, value=1479","layer":4},{"info":"number node, value=2106","layer":4},{"info":"compute binary expreesion, left_input=1479, right_input=2106, 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=-1339170, right_input=160, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1339330","layer":2},{"info":"compute binary expreesion, left_input=89265, right_input=1339330, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-1428595","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1428595, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊙↵-⊺⇮1933)*⊺⇮6752⨟⋌⩍⊺⇮7873↛⩡⫤)⊉≛↸((⊺⇮1807⫡⨏⊺⇮1462⫡⨏⊺⇮3012⨸⪁⊺⇮3181)⪒(⪝⪂⫅⊺⇮9110)⇼⇔∾(⊺⇮1479⨵⪆⊺⇮2106))=NaN","reverse_text":"NaN=((⊙↵-⊺⇮1933)*⊺⇮6752⨟⋌⩍⊺⇮7873↛⩡⫤)⊉≛↸((⊺⇮1807⫡⨏⊺⇮1462⫡⨏⊺⇮3012⨸⪁⊺⇮3181)⪒(⪝⪂⫅⊺⇮9110)⇼⇔∾(⊺⇮1479⨵⪆⊺⇮2106))","cot":[{"info":"⊙↵-⊺⇮1933=⊺⇮-1","layer":3},{"info":"⊺⇮6752⨟⋌⩍⊺⇮7873=NaN","layer":3},{"info":"⊺⇮-1*NaN=NaN","layer":2},{"info":"NaN↛⩡⫤=NaN","layer":1},{"info":"⊺⇮1807⫡⨏⊺⇮1462=⊺⇮12742","layer":3},{"info":"⊺⇮3012⨸⪁⊺⇮3181=⊺⇮12386","layer":3},{"info":"⊺⇮12742⫡⨏⊺⇮12386=⊺⇮89265","layer":2},{"info":"⪝⪂⫅⊺⇮9110=⊺⇮-1339170","layer":3},{"info":"⊺⇮1479⨵⪆⊺⇮2106=⊺⇮160","layer":3},{"info":"⊺⇮-1339170⇼⇔∾⊺⇮160=⊺⇮1339330","layer":2},{"info":"⊺⇮89265⪒⊺⇮1339330=⊺⇮-1428595","layer":1},{"info":"NaN⊉≛↸⊺⇮-1428595=NaN","layer":0}]}
{"id":272,"expression_no_base_symbol":"(($4482$⊉≛↸$4819$)≎⊠⪸($1318$+⇶⊼$1026$))⨪↰⇹(⨈⫕$5023$⨎$2920$)⋥≓≎((↯⪼$1949$)⪄$6201$↬$1654$)⨓($1128$⇷$1213$⨎($3516$⋷$3465$))","expression":"((⊺⇮4482⊉≛↸⊺⇮4819)≎⊠⪸(⊺⇮1318+⇶⊼⊺⇮1026))⨪↰⇹(⨈⫕⊺⇮5023⨎⊺⇮2920)⋥≓≎((↯⪼⊺⇮1949)⪄⊺⇮6201↬⊺⇮1654)⨓(⊺⇮1128⇷⊺⇮1213⨎(⊺⇮3516⋷⊺⇮3465))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":19767,"operation_count":14,"complexity_ratio":1411.9285714285713,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4482,"base":10},"right_expr":{"type":"numeric_atoms","value":4819,"base":10}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1318,"base":10},"right_expr":{"type":"numeric_atoms","value":1026,"base":10}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5023,"base":10},"right_expr":{"type":"numeric_atoms","value":2920,"base":10}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1949,"base":10}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":6201,"base":10},"right_expr":{"type":"numeric_atoms","value":1654,"base":10}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1128,"base":10},"right_expr":{"type":"numeric_atoms","value":1213,"base":10}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3516,"base":10},"right_expr":{"type":"numeric_atoms","value":3465,"base":10}}}}},"used_operators":["Qy55tPpLXF","tmPS8pqC7x","bJkvcejdHO","DZ8iAZOCBD","TpPTUOHfaN","megm06wKyl","rJVOvQCfKK","3ViojmjbAp","SUmda5xLS4","8jW3W4yZS5","B5M0gjZbta","mp7IySMOzn","23Mk6UjR3U"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rGHVDoGpnC","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮-6868","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4482","layer":4},{"info":"number node, value=4819","layer":4},{"info":"compute binary expreesion, left_input=4482, right_input=4819, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=8964","layer":3},{"info":"number node, value=1318","layer":4},{"info":"number node, value=1026","layer":4},{"info":"compute binary expreesion, left_input=1318, right_input=1026, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=8964, 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=5023","layer":4},{"info":"number node, value=2920","layer":4},{"info":"compute binary expreesion, left_input=5023, right_input=2920, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2920","layer":3},{"info":"compute unary expreesion, input=2920, 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=67, 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=67","layer":1},{"info":"number node, value=1949","layer":4},{"info":"compute unary expreesion, input=1949, 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=6201","layer":4},{"info":"number node, value=1654","layer":4},{"info":"compute binary expreesion, left_input=6201, right_input=1654, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"number node, value=1128","layer":4},{"info":"number node, value=1213","layer":4},{"info":"compute binary expreesion, left_input=1128, right_input=1213, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2426","layer":3},{"info":"number node, value=3516","layer":4},{"info":"number node, value=3465","layer":4},{"info":"compute binary expreesion, left_input=3516, right_input=3465, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3414","layer":3},{"info":"compute binary expreesion, left_input=2426, right_input=3414, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3414","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=3414, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3417","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-3417, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-6868","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮4482⊉≛↸⊺⇮4819)≎⊠⪸(⊺⇮1318+⇶⊼⊺⇮1026))⨪↰⇹(⨈⫕⊺⇮5023⨎⊺⇮2920)⋥≓≎((↯⪼⊺⇮1949)⪄⊺⇮6201↬⊺⇮1654)⨓(⊺⇮1128⇷⊺⇮1213⨎(⊺⇮3516⋷⊺⇮3465))=⊺⇮-6868","reverse_text":"⊺⇮-6868=((⊺⇮4482⊉≛↸⊺⇮4819)≎⊠⪸(⊺⇮1318+⇶⊼⊺⇮1026))⨪↰⇹(⨈⫕⊺⇮5023⨎⊺⇮2920)⋥≓≎((↯⪼⊺⇮1949)⪄⊺⇮6201↬⊺⇮1654)⨓(⊺⇮1128⇷⊺⇮1213⨎(⊺⇮3516⋷⊺⇮3465))","cot":[{"info":"⊺⇮4482⊉≛↸⊺⇮4819=⊺⇮8964","layer":3},{"info":"⊺⇮1318+⇶⊼⊺⇮1026=NaN","layer":3},{"info":"⊺⇮8964≎⊠⪸NaN=⊺⇮67","layer":2},{"info":"⊺⇮5023⨎⊺⇮2920=⊺⇮2920","layer":3},{"info":"⨈⫕⊺⇮2920=⊺⇮-21","layer":2},{"info":"⊺⇮67⨪↰⇹⊺⇮-21=⊺⇮67","layer":1},{"info":"↯⪼⊺⇮1949=⊺⇮-21","layer":3},{"info":"⊺⇮6201↬⊺⇮1654=NaN","layer":3},{"info":"⊺⇮-21⪄NaN=⊺⇮3979","layer":2},{"info":"⊺⇮1128⇷⊺⇮1213=⊺⇮2426","layer":3},{"info":"⊺⇮3516⋷⊺⇮3465=⊺⇮3414","layer":3},{"info":"⊺⇮2426⨎⊺⇮3414=⊺⇮3414","layer":2},{"info":"⊺⇮3979⨓⊺⇮3414=⊺⇮-3417","layer":1},{"info":"⊺⇮67⋥≓≎⊺⇮-3417=⊺⇮-6868","layer":0}]}
{"id":273,"expression_no_base_symbol":"($2694$∼$5411$∑⇟⊟(⨑⩽⪐$3754$)⇼⇔∾((⨞⊢$1013$)⫡⨏$1430$⨳⩥⨓$1064$))⪠⩆⊳","expression":"(⊺⇮2694∼⊺⇮5411∑⇟⊟(⨑⩽⪐⊺⇮3754)⇼⇔∾((⨞⊢⊺⇮1013)⫡⨏⊺⇮1430⨳⩥⨓⊺⇮1064))⪠⩆⊳","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":79,"operation_count":8,"complexity_ratio":9.875,"tree":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2694,"base":10},"right_expr":{"type":"numeric_atoms","value":5411,"base":10}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":3754,"base":10}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1013,"base":10}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1430,"base":10},"right_expr":{"type":"numeric_atoms","value":1064,"base":10}}}}},"used_operators":["JLbD19bQDL","tifHPKVTfV","U7g4x0WXJJ","DyGG3AbaNP","AF7qkfDlqP","QMFrweE19q","xUOZtlo3hN","nCS4ZIUYfx"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2694","layer":4},{"info":"number node, value=5411","layer":4},{"info":"compute binary expreesion, left_input=2694, right_input=5411, 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=3754","layer":4},{"info":"compute unary expreesion, input=3754, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-3481","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3481, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=1013","layer":4},{"info":"compute unary expreesion, input=1013, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1187","layer":3},{"info":"number node, value=1430","layer":4},{"info":"number node, value=1064","layer":4},{"info":"compute binary expreesion, left_input=1430, right_input=1064, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-366","layer":3},{"info":"compute binary expreesion, left_input=-1187, right_input=-366, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-5884","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-5884, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', 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":10,"result_base":10,"text":"(⊺⇮2694∼⊺⇮5411∑⇟⊟(⨑⩽⪐⊺⇮3754)⇼⇔∾((⨞⊢⊺⇮1013)⫡⨏⊺⇮1430⨳⩥⨓⊺⇮1064))⪠⩆⊳=NaN","reverse_text":"NaN=(⊺⇮2694∼⊺⇮5411∑⇟⊟(⨑⩽⪐⊺⇮3754)⇼⇔∾((⨞⊢⊺⇮1013)⫡⨏⊺⇮1430⨳⩥⨓⊺⇮1064))⪠⩆⊳","cot":[{"info":"⊺⇮2694∼⊺⇮5411=NaN","layer":3},{"info":"⨑⩽⪐⊺⇮3754=⊺⇮-3481","layer":3},{"info":"NaN∑⇟⊟⊺⇮-3481=NaN","layer":2},{"info":"⨞⊢⊺⇮1013=⊺⇮-1187","layer":3},{"info":"⊺⇮1430⨳⩥⨓⊺⇮1064=⊺⇮-366","layer":3},{"info":"⊺⇮-1187⫡⨏⊺⇮-366=⊺⇮-5884","layer":2},{"info":"NaN⇼⇔∾⊺⇮-5884=NaN","layer":1},{"info":"NaN⪠⩆⊳=NaN","layer":0}]}
{"id":274,"expression_no_base_symbol":"↩(⊄⩳↩($1016$≣⋋))⋓(($1653$∲⫓$1568$)%$1234$⨟⋌⩍$6382$)","expression":"↩(⊄⩳↩(⊺⇮1016≣⋋))⋓((⊺⇮1653∲⫓⊺⇮1568)%⊺⇮1234⨟⋌⩍⊺⇮6382)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":553,"operation_count":7,"complexity_ratio":79.0,"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":1016,"base":10}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1653,"base":10},"right_expr":{"type":"numeric_atoms","value":1568,"base":10}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1234,"base":10},"right_expr":{"type":"numeric_atoms","value":6382,"base":10}}}}},"used_operators":["jLgFTUHLKL","T2fj7uvVaJ","8w2t5hMYqp","Tcnh7f0tEr","k8jYdgA6NY","i8ToyICDmI","rGHVDoGpnC"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=1016","layer":4},{"info":"compute unary expreesion, input=1016, 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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=0","layer":2},{"info":"number node, value=1653","layer":4},{"info":"number node, value=1568","layer":4},{"info":"compute binary expreesion, left_input=1653, right_input=1568, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1234","layer":4},{"info":"number node, value=6382","layer":4},{"info":"compute binary expreesion, left_input=1234, right_input=6382, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":1},{"info":"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":10,"result_base":10,"text":"↩(⊄⩳↩(⊺⇮1016≣⋋))⋓((⊺⇮1653∲⫓⊺⇮1568)%⊺⇮1234⨟⋌⩍⊺⇮6382)=NaN","reverse_text":"NaN=↩(⊄⩳↩(⊺⇮1016≣⋋))⋓((⊺⇮1653∲⫓⊺⇮1568)%⊺⇮1234⨟⋌⩍⊺⇮6382)","cot":[{"info":"⊺⇮1016≣⋋=⊺⇮0","layer":3},{"info":"⊄⩳↩⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮1653∲⫓⊺⇮1568=⊺⇮0","layer":3},{"info":"⊺⇮1234⨟⋌⩍⊺⇮6382=NaN","layer":3},{"info":"⊺⇮0%NaN=NaN","layer":2},{"info":"⊺⇮0⋓NaN=NaN","layer":1},{"info":"↩NaN=NaN","layer":0}]}
{"id":275,"expression_no_base_symbol":"($2804$⨽$3121$⪒($1439$⨵⪆$4361$)+$1025$⩚⊴⇥$5326$⨎($5073$⨽$5394$))≹⇙⪍((($1752$↙$4155$)⫥∨⫟(⋗⩬⋾$3517$))⨓((⋗⩬⋾$1627$)⋝⋈⪟($1351$+⇶⊼$2123$)))","expression":"(⊺⇮2804⨽⊺⇮3121⪒(⊺⇮1439⨵⪆⊺⇮4361)+⊺⇮1025⩚⊴⇥⊺⇮5326⨎(⊺⇮5073⨽⊺⇮5394))≹⇙⪍(((⊺⇮1752↙⊺⇮4155)⫥∨⫟(⋗⩬⋾⊺⇮3517))⨓((⋗⩬⋾⊺⇮1627)⋝⋈⪟(⊺⇮1351+⇶⊼⊺⇮2123)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":12234,"operation_count":15,"complexity_ratio":815.6,"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":2804,"base":10},"right_expr":{"type":"numeric_atoms","value":3121,"base":10}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1439,"base":10},"right_expr":{"type":"numeric_atoms","value":4361,"base":10}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1025,"base":10},"right_expr":{"type":"numeric_atoms","value":5326,"base":10}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":5073,"base":10},"right_expr":{"type":"numeric_atoms","value":5394,"base":10}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1752,"base":10},"right_expr":{"type":"numeric_atoms","value":4155,"base":10}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":3517,"base":10}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1627,"base":10}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1351,"base":10},"right_expr":{"type":"numeric_atoms","value":2123,"base":10}}}}},"used_operators":["AHs5Up7iyr","W4YGzv6Whe","f6k1SAg4EE","8HhzD0ZcuI","2DQ55sFlQl","rJVOvQCfKK","NTOWxs364D","3ViojmjbAp","KYD54nUTWz","yyfyN0ffXY","DpFCA1CohY","2DDjHMKMc0","TpPTUOHfaN"],"dependent_operators":["dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","8HhzD0ZcuI","rGHVDoGpnC","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2804","layer":4},{"info":"number node, value=3121","layer":4},{"info":"compute binary expreesion, left_input=2804, right_input=3121, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-23595297","layer":3},{"info":"number node, value=1439","layer":4},{"info":"number node, value=4361","layer":4},{"info":"compute binary expreesion, left_input=1439, right_input=4361, 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=-23595297, right_input=160, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=23595137","layer":2},{"info":"number node, value=1025","layer":4},{"info":"number node, value=5326","layer":4},{"info":"compute binary expreesion, left_input=1025, right_input=5326, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6472","layer":3},{"info":"number node, value=5073","layer":4},{"info":"number node, value=5394","layer":4},{"info":"compute binary expreesion, left_input=5073, right_input=5394, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-77220855","layer":3},{"info":"compute binary expreesion, left_input=-6472, right_input=-77220855, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-77220855","layer":2},{"info":"compute binary expreesion, left_input=23595137, right_input=-77220855, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-53625718","layer":1},{"info":"number node, value=1752","layer":4},{"info":"number node, value=4155","layer":4},{"info":"compute binary expreesion, left_input=1752, right_input=4155, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-12465","layer":3},{"info":"number node, value=3517","layer":4},{"info":"compute unary expreesion, input=3517, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-10551","layer":3},{"info":"compute binary expreesion, left_input=-12465, right_input=-10551, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1627","layer":4},{"info":"compute unary expreesion, input=1627, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-4881","layer":3},{"info":"number node, value=1351","layer":4},{"info":"number node, value=2123","layer":4},{"info":"compute binary expreesion, left_input=1351, right_input=2123, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=-4881, 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 = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-53625718, 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":10,"result_base":10,"text":"(⊺⇮2804⨽⊺⇮3121⪒(⊺⇮1439⨵⪆⊺⇮4361)+⊺⇮1025⩚⊴⇥⊺⇮5326⨎(⊺⇮5073⨽⊺⇮5394))≹⇙⪍(((⊺⇮1752↙⊺⇮4155)⫥∨⫟(⋗⩬⋾⊺⇮3517))⨓((⋗⩬⋾⊺⇮1627)⋝⋈⪟(⊺⇮1351+⇶⊼⊺⇮2123)))=NaN","reverse_text":"NaN=(⊺⇮2804⨽⊺⇮3121⪒(⊺⇮1439⨵⪆⊺⇮4361)+⊺⇮1025⩚⊴⇥⊺⇮5326⨎(⊺⇮5073⨽⊺⇮5394))≹⇙⪍(((⊺⇮1752↙⊺⇮4155)⫥∨⫟(⋗⩬⋾⊺⇮3517))⨓((⋗⩬⋾⊺⇮1627)⋝⋈⪟(⊺⇮1351+⇶⊼⊺⇮2123)))","cot":[{"info":"⊺⇮2804⨽⊺⇮3121=⊺⇮-23595297","layer":3},{"info":"⊺⇮1439⨵⪆⊺⇮4361=⊺⇮160","layer":3},{"info":"⊺⇮-23595297⪒⊺⇮160=⊺⇮23595137","layer":2},{"info":"⊺⇮1025⩚⊴⇥⊺⇮5326=⊺⇮-6472","layer":3},{"info":"⊺⇮5073⨽⊺⇮5394=⊺⇮-77220855","layer":3},{"info":"⊺⇮-6472⨎⊺⇮-77220855=⊺⇮-77220855","layer":2},{"info":"⊺⇮23595137+⊺⇮-77220855=⊺⇮-53625718","layer":1},{"info":"⊺⇮1752↙⊺⇮4155=⊺⇮-12465","layer":3},{"info":"⋗⩬⋾⊺⇮3517=⊺⇮-10551","layer":3},{"info":"⊺⇮-12465⫥∨⫟⊺⇮-10551=NaN","layer":2},{"info":"⋗⩬⋾⊺⇮1627=⊺⇮-4881","layer":3},{"info":"⊺⇮1351+⇶⊼⊺⇮2123=NaN","layer":3},{"info":"⊺⇮-4881⋝⋈⪟NaN=NaN","layer":2},{"info":"NaN⨓NaN=NaN","layer":1},{"info":"⊺⇮-53625718≹⇙⪍NaN=NaN","layer":0}]}
{"id":276,"expression_no_base_symbol":"-($2055$⨪↰⇹$7293$)∀⇚≩($1641$⪄$1298$)⋓(∥⊫(∥⊫$4355$))","expression":"-(⊺⇮2055⨪↰⇹⊺⇮7293)∀⇚≩(⊺⇮1641⪄⊺⇮1298)⋓(∥⊫(∥⊫⊺⇮4355))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":16557,"operation_count":7,"complexity_ratio":2365.285714285714,"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":2055,"base":10},"right_expr":{"type":"numeric_atoms","value":7293,"base":10}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1641,"base":10},"right_expr":{"type":"numeric_atoms","value":1298,"base":10}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":4355,"base":10}}}}},"used_operators":["t8gj7n24qd","T2fj7uvVaJ","LRNGc0VcxI","tmPS8pqC7x","SUmda5xLS4","P8v4zCKN1o"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","X99M06cbEe","rJVOvQCfKK","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2055","layer":4},{"info":"number node, value=7293","layer":4},{"info":"compute binary expreesion, left_input=2055, right_input=7293, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2055","layer":3},{"info":"number node, value=1641","layer":4},{"info":"number node, value=1298","layer":4},{"info":"compute binary expreesion, left_input=1641, right_input=1298, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-244149","layer":3},{"info":"compute binary expreesion, left_input=2055, right_input=-244149, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=4355","layer":4},{"info":"compute unary expreesion, input=4355, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=5223","layer":3},{"info":"compute unary expreesion, input=5223, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=6091","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=6091, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = t8gj7n24qd, unary_op_definition = 'None', output=0","layer":0}],"base":10,"result_base":10,"text":"-(⊺⇮2055⨪↰⇹⊺⇮7293)∀⇚≩(⊺⇮1641⪄⊺⇮1298)⋓(∥⊫(∥⊫⊺⇮4355))=⊺⇮0","reverse_text":"⊺⇮0=-(⊺⇮2055⨪↰⇹⊺⇮7293)∀⇚≩(⊺⇮1641⪄⊺⇮1298)⋓(∥⊫(∥⊫⊺⇮4355))","cot":[{"info":"⊺⇮2055⨪↰⇹⊺⇮7293=⊺⇮2055","layer":3},{"info":"⊺⇮1641⪄⊺⇮1298=⊺⇮-244149","layer":3},{"info":"⊺⇮2055∀⇚≩⊺⇮-244149=NaN","layer":2},{"info":"∥⊫⊺⇮4355=⊺⇮5223","layer":3},{"info":"∥⊫⊺⇮5223=⊺⇮6091","layer":2},{"info":"NaN⋓⊺⇮6091=⊺⇮0","layer":1},{"info":"-⊺⇮0=⊺⇮0","layer":0}]}
{"id":277,"expression_no_base_symbol":"(≉(⪝⪂⫅($3158$⩨$1381$)))⊴((↽≂$5371$≭$5187$)∑⇟⊟(($1924$⫡⨏$3300$)%$3226$⊭↱$1168$))","expression":"(≉(⪝⪂⫅(⊺⇮3158⩨⊺⇮1381)))⊴((↽≂⊺⇮5371≭⊺⇮5187)∑⇟⊟((⊺⇮1924⫡⨏⊺⇮3300)%⊺⇮3226⊭↱⊺⇮1168))","highest_n_order":5,"priority_hierarchical_complexity":9,"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":3158,"base":10},"right_expr":{"type":"numeric_atoms","value":1381,"base":10}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":5371,"base":10},"right_expr":{"type":"numeric_atoms","value":5187,"base":10}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1924,"base":10},"right_expr":{"type":"numeric_atoms","value":3300,"base":10}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3226,"base":10},"right_expr":{"type":"numeric_atoms","value":1168,"base":10}}}}},"used_operators":["Nsiff2A1zJ","e1ybzncUwg","XTarYq4gQB","2DlMacCsIx","U7g4x0WXJJ","u6S6b8DprG","rxpJgHHUmx","k8jYdgA6NY","QMFrweE19q","COABgblf1C"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3158","layer":4},{"info":"number node, value=1381","layer":4},{"info":"compute binary expreesion, left_input=3158, right_input=1381, 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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=531","layer":1},{"info":"number node, value=5371","layer":4},{"info":"number node, value=5187","layer":4},{"info":"compute binary expreesion, left_input=5371, right_input=5187, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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 = 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=1924","layer":4},{"info":"number node, value=3300","layer":4},{"info":"compute binary expreesion, left_input=1924, right_input=3300, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=17003","layer":3},{"info":"number node, value=3226","layer":4},{"info":"number node, value=1168","layer":4},{"info":"compute binary expreesion, left_input=3226, right_input=1168, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-4111","layer":3},{"info":"compute binary expreesion, left_input=17003, right_input=-4111, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-3552","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3552, 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=531, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(≉(⪝⪂⫅(⊺⇮3158⩨⊺⇮1381)))⊴((↽≂⊺⇮5371≭⊺⇮5187)∑⇟⊟((⊺⇮1924⫡⨏⊺⇮3300)%⊺⇮3226⊭↱⊺⇮1168))=NaN","reverse_text":"NaN=(≉(⪝⪂⫅(⊺⇮3158⩨⊺⇮1381)))⊴((↽≂⊺⇮5371≭⊺⇮5187)∑⇟⊟((⊺⇮1924⫡⨏⊺⇮3300)%⊺⇮3226⊭↱⊺⇮1168))","cot":[{"info":"⊺⇮3158⩨⊺⇮1381=⊺⇮0","layer":3},{"info":"⪝⪂⫅⊺⇮0=⊺⇮0","layer":2},{"info":"≉⊺⇮0=⊺⇮531","layer":1},{"info":"⊺⇮5371≭⊺⇮5187=NaN","layer":3},{"info":"↽≂NaN=NaN","layer":2},{"info":"⊺⇮1924⫡⨏⊺⇮3300=⊺⇮17003","layer":3},{"info":"⊺⇮3226⊭↱⊺⇮1168=⊺⇮-4111","layer":3},{"info":"⊺⇮17003%⊺⇮-4111=⊺⇮-3552","layer":2},{"info":"NaN∑⇟⊟⊺⇮-3552=NaN","layer":1},{"info":"⊺⇮531⊴NaN=NaN","layer":0}]}
{"id":278,"expression_no_base_symbol":"((⊥($2394$%$1181$))∀⇚≩($1340$↺$1233$⊭↱$1543$∼$1726$))⨪↰⇹(($3692$-$4724$)⪄($1339$/$9268$)⪨≂$2081$≧⫂∧$4515$⪒(⪲⇎$8447$))","expression":"((⊥(⊺⇮2394%⊺⇮1181))∀⇚≩(⊺⇮1340↺⊺⇮1233⊭↱⊺⇮1543∼⊺⇮1726))⨪↰⇹((⊺⇮3692-⊺⇮4724)⪄(⊺⇮1339/⊺⇮9268)⪨≂⊺⇮2081≧⫂∧⊺⇮4515⪒(⪲⇎⊺⇮8447))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1610,"operation_count":14,"complexity_ratio":115.0,"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":2394,"base":10},"right_expr":{"type":"numeric_atoms","value":1181,"base":10}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1340,"base":10},"right_expr":{"type":"numeric_atoms","value":1233,"base":10}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1543,"base":10},"right_expr":{"type":"numeric_atoms","value":1726,"base":10}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3692,"base":10},"right_expr":{"type":"numeric_atoms","value":4724,"base":10}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1339,"base":10},"right_expr":{"type":"numeric_atoms","value":9268,"base":10}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2081,"base":10},"right_expr":{"type":"numeric_atoms","value":4515,"base":10}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":8447,"base":10}}}}},"used_operators":["tmPS8pqC7x","LRNGc0VcxI","Q3PJZHRvZv","k8jYdgA6NY","COABgblf1C","7j4O788W3g","DyGG3AbaNP","sdazOOVcIp","SUmda5xLS4","rysDP5nf3Z","XhwjNDsVaA","f6k1SAg4EE","Ph9nP6C5qx","XPYlsWDdGa"],"dependent_operators":["rJVOvQCfKK","X99M06cbEe","fu6greOZ01","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2394","layer":4},{"info":"number node, value=1181","layer":4},{"info":"compute binary expreesion, left_input=2394, right_input=1181, op_id = k8jYdgA6NY binary_op_definition= 'None', output=32","layer":3},{"info":"compute unary expreesion, input=32, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=-35","layer":2},{"info":"number node, value=1340","layer":4},{"info":"number node, value=1233","layer":4},{"info":"compute binary expreesion, left_input=1340, right_input=1233, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1233","layer":3},{"info":"number node, value=1543","layer":4},{"info":"number node, value=1726","layer":4},{"info":"compute binary expreesion, left_input=1543, right_input=1726, 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=1233, 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=-35, 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=3692","layer":4},{"info":"number node, value=4724","layer":4},{"info":"compute binary expreesion, left_input=3692, right_input=4724, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1032","layer":3},{"info":"number node, value=1339","layer":4},{"info":"number node, value=9268","layer":4},{"info":"compute binary expreesion, left_input=1339, right_input=9268, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=-1032, 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=2081","layer":4},{"info":"number node, value=4515","layer":4},{"info":"compute binary expreesion, left_input=2081, right_input=4515, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4042","layer":3},{"info":"number node, value=8447","layer":4},{"info":"compute unary expreesion, input=8447, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=16894","layer":3},{"info":"compute binary expreesion, left_input=4042, right_input=16894, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-20936","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=-20936, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=49932","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=49932, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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":10,"result_base":10,"text":"((⊥(⊺⇮2394%⊺⇮1181))∀⇚≩(⊺⇮1340↺⊺⇮1233⊭↱⊺⇮1543∼⊺⇮1726))⨪↰⇹((⊺⇮3692-⊺⇮4724)⪄(⊺⇮1339/⊺⇮9268)⪨≂⊺⇮2081≧⫂∧⊺⇮4515⪒(⪲⇎⊺⇮8447))=NaN","reverse_text":"NaN=((⊥(⊺⇮2394%⊺⇮1181))∀⇚≩(⊺⇮1340↺⊺⇮1233⊭↱⊺⇮1543∼⊺⇮1726))⨪↰⇹((⊺⇮3692-⊺⇮4724)⪄(⊺⇮1339/⊺⇮9268)⪨≂⊺⇮2081≧⫂∧⊺⇮4515⪒(⪲⇎⊺⇮8447))","cot":[{"info":"⊺⇮2394%⊺⇮1181=⊺⇮32","layer":3},{"info":"⊥⊺⇮32=⊺⇮-35","layer":2},{"info":"⊺⇮1340↺⊺⇮1233=⊺⇮1233","layer":3},{"info":"⊺⇮1543∼⊺⇮1726=NaN","layer":3},{"info":"⊺⇮1233⊭↱NaN=NaN","layer":2},{"info":"⊺⇮-35∀⇚≩NaN=NaN","layer":1},{"info":"⊺⇮3692-⊺⇮4724=⊺⇮-1032","layer":3},{"info":"⊺⇮1339/⊺⇮9268=⊺⇮0","layer":3},{"info":"⊺⇮-1032⪄⊺⇮0=⊺⇮3979","layer":2},{"info":"⊺⇮2081≧⫂∧⊺⇮4515=⊺⇮4042","layer":3},{"info":"⪲⇎⊺⇮8447=⊺⇮16894","layer":3},{"info":"⊺⇮4042⪒⊺⇮16894=⊺⇮-20936","layer":2},{"info":"⊺⇮3979⪨≂⊺⇮-20936=⊺⇮49932","layer":1},{"info":"NaN⨪↰⇹⊺⇮49932=NaN","layer":0}]}
{"id":279,"expression_no_base_symbol":"($2944$+⇶⊼$2332$∲⫓$4589$⊴$5998$)⩷∴($5641$↛⩡⫤)⪘⫢($1082$⪨≂$3053$)⫥∨⫟(⊄⩳↩(⨰⫟⨤$5903$⨟⋌⩍$1566$))","expression":"(⊺⇮2944+⇶⊼⊺⇮2332∲⫓⊺⇮4589⊴⊺⇮5998)⩷∴(⊺⇮5641↛⩡⫤)⪘⫢(⊺⇮1082⪨≂⊺⇮3053)⫥∨⫟(⊄⩳↩(⨰⫟⨤⊺⇮5903⨟⋌⩍⊺⇮1566))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":23271,"operation_count":11,"complexity_ratio":2115.5454545454545,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2944,"base":10},"right_expr":{"type":"numeric_atoms","value":2332,"base":10}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4589,"base":10},"right_expr":{"type":"numeric_atoms","value":5998,"base":10}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":5641,"base":10}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1082,"base":10},"right_expr":{"type":"numeric_atoms","value":3053,"base":10}}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":5903,"base":10},"right_expr":{"type":"numeric_atoms","value":1566,"base":10}}}}},"used_operators":["KYD54nUTWz","9FxExcQeMw","i8ToyICDmI","TpPTUOHfaN","Nsiff2A1zJ","oacrs7FA3X","FU0Cs4j7VP","sdazOOVcIp","8w2t5hMYqp","Tw270M8GLb","rGHVDoGpnC"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","dWAJyo7jo9","14qkJME0vr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2944","layer":4},{"info":"number node, value=2332","layer":4},{"info":"compute binary expreesion, left_input=2944, right_input=2332, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=4589","layer":4},{"info":"number node, value=5998","layer":4},{"info":"compute binary expreesion, left_input=4589, right_input=5998, 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 = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"number node, value=5641","layer":4},{"info":"compute unary expreesion, input=5641, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-847880","layer":3},{"info":"number node, value=1082","layer":4},{"info":"number node, value=3053","layer":4},{"info":"compute binary expreesion, left_input=1082, right_input=3053, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-3840","layer":3},{"info":"compute binary expreesion, left_input=-847880, 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=-1","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"number node, value=5903","layer":4},{"info":"number node, value=1566","layer":4},{"info":"compute binary expreesion, left_input=5903, right_input=1566, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = 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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮2944+⇶⊼⊺⇮2332∲⫓⊺⇮4589⊴⊺⇮5998)⩷∴(⊺⇮5641↛⩡⫤)⪘⫢(⊺⇮1082⪨≂⊺⇮3053)⫥∨⫟(⊄⩳↩(⨰⫟⨤⊺⇮5903⨟⋌⩍⊺⇮1566))=NaN","reverse_text":"NaN=(⊺⇮2944+⇶⊼⊺⇮2332∲⫓⊺⇮4589⊴⊺⇮5998)⩷∴(⊺⇮5641↛⩡⫤)⪘⫢(⊺⇮1082⪨≂⊺⇮3053)⫥∨⫟(⊄⩳↩(⨰⫟⨤⊺⇮5903⨟⋌⩍⊺⇮1566))","cot":[{"info":"⊺⇮2944+⇶⊼⊺⇮2332=NaN","layer":3},{"info":"⊺⇮4589⊴⊺⇮5998=NaN","layer":3},{"info":"NaN∲⫓NaN=NaN","layer":2},{"info":"⊺⇮5641↛⩡⫤=⊺⇮-847880","layer":3},{"info":"⊺⇮1082⪨≂⊺⇮3053=⊺⇮-3840","layer":3},{"info":"⊺⇮-847880⪘⫢⊺⇮-3840=⊺⇮-1","layer":2},{"info":"NaN⩷∴⊺⇮-1=NaN","layer":1},{"info":"⊺⇮5903⨟⋌⩍⊺⇮1566=NaN","layer":3},{"info":"⨰⫟⨤NaN=NaN","layer":2},{"info":"⊄⩳↩NaN=NaN","layer":1},{"info":"NaN⫥∨⫟NaN=NaN","layer":0}]}
{"id":280,"expression_no_base_symbol":"((($1168$+$1092$)⨁⊸⫻)-($1920$↺$1619$)≎⊠⪸($3600$↺$2013$))⪠⩆⊳","expression":"(((⊺⇮1168+⊺⇮1092)⨁⊸⫻)-(⊺⇮1920↺⊺⇮1619)≎⊠⪸(⊺⇮3600↺⊺⇮2013))⪠⩆⊳","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":283,"operation_count":7,"complexity_ratio":40.42857142857143,"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":1168,"base":10},"right_expr":{"type":"numeric_atoms","value":1092,"base":10}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1920,"base":10},"right_expr":{"type":"numeric_atoms","value":1619,"base":10}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3600,"base":10},"right_expr":{"type":"numeric_atoms","value":2013,"base":10}}}}},"used_operators":["JLbD19bQDL","rysDP5nf3Z","glklzrTFfD","W4YGzv6Whe","bJkvcejdHO","7j4O788W3g"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1168","layer":4},{"info":"number node, value=1092","layer":4},{"info":"compute binary expreesion, left_input=1168, right_input=1092, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2260","layer":3},{"info":"compute unary expreesion, input=2260, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=2260","layer":2},{"info":"number node, value=1920","layer":4},{"info":"number node, value=1619","layer":4},{"info":"compute binary expreesion, left_input=1920, right_input=1619, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1619","layer":3},{"info":"number node, value=3600","layer":4},{"info":"number node, value=2013","layer":4},{"info":"compute binary expreesion, left_input=3600, right_input=2013, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2013","layer":3},{"info":"compute binary expreesion, left_input=1619, right_input=2013, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=418848","layer":2},{"info":"compute binary expreesion, left_input=2260, right_input=418848, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-416588","layer":1},{"info":"compute unary expreesion, input=-416588, 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":10,"result_base":10,"text":"(((⊺⇮1168+⊺⇮1092)⨁⊸⫻)-(⊺⇮1920↺⊺⇮1619)≎⊠⪸(⊺⇮3600↺⊺⇮2013))⪠⩆⊳=⊺⇮0","reverse_text":"⊺⇮0=(((⊺⇮1168+⊺⇮1092)⨁⊸⫻)-(⊺⇮1920↺⊺⇮1619)≎⊠⪸(⊺⇮3600↺⊺⇮2013))⪠⩆⊳","cot":[{"info":"⊺⇮1168+⊺⇮1092=⊺⇮2260","layer":3},{"info":"⊺⇮2260⨁⊸⫻=⊺⇮2260","layer":2},{"info":"⊺⇮1920↺⊺⇮1619=⊺⇮1619","layer":3},{"info":"⊺⇮3600↺⊺⇮2013=⊺⇮2013","layer":3},{"info":"⊺⇮1619≎⊠⪸⊺⇮2013=⊺⇮418848","layer":2},{"info":"⊺⇮2260-⊺⇮418848=⊺⇮-416588","layer":1},{"info":"⊺⇮-416588⪠⩆⊳=⊺⇮0","layer":0}]}
{"id":281,"expression_no_base_symbol":"($1575$+$1804$)⨰($6312$+$4186$)≧⫂∧(∂($2427$⨎$1897$))⋥≓≎((↥($4480$⨳⩥⨓$4542$))⫡⨏$5427$⨓$1376$∑⇟⊟$3834$⪘⫢$2571$)","expression":"(⊺⇮1575+⊺⇮1804)⨰(⊺⇮6312+⊺⇮4186)≧⫂∧(∂(⊺⇮2427⨎⊺⇮1897))⋥≓≎((↥(⊺⇮4480⨳⩥⨓⊺⇮4542))⫡⨏⊺⇮5427⨓⊺⇮1376∑⇟⊟⊺⇮3834⪘⫢⊺⇮2571)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1422,"operation_count":13,"complexity_ratio":109.38461538461539,"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":1575,"base":10},"right_expr":{"type":"numeric_atoms","value":1804,"base":10}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":6312,"base":10},"right_expr":{"type":"numeric_atoms","value":4186,"base":10}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2427,"base":10},"right_expr":{"type":"numeric_atoms","value":1897,"base":10}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4480,"base":10},"right_expr":{"type":"numeric_atoms","value":4542,"base":10}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":5427,"base":10},"right_expr":{"type":"numeric_atoms","value":1376,"base":10}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3834,"base":10},"right_expr":{"type":"numeric_atoms","value":2571,"base":10}}}}},"used_operators":["Qy55tPpLXF","Ph9nP6C5qx","eewbuw0ToL","W4YGzv6Whe","Uaa54Peajs","rJVOvQCfKK","QMFrweE19q","A8NUZmVepG","nCS4ZIUYfx","U7g4x0WXJJ","3ViojmjbAp","oacrs7FA3X"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⊺⇮67","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1575","layer":4},{"info":"number node, value=1804","layer":4},{"info":"compute binary expreesion, left_input=1575, right_input=1804, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3379","layer":3},{"info":"number node, value=6312","layer":4},{"info":"number node, value=4186","layer":4},{"info":"compute binary expreesion, left_input=6312, right_input=4186, op_id = W4YGzv6Whe binary_op_definition= 'None', output=10498","layer":3},{"info":"compute binary expreesion, left_input=3379, right_input=10498, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-7109","layer":2},{"info":"number node, value=2427","layer":4},{"info":"number node, value=1897","layer":4},{"info":"compute binary expreesion, left_input=2427, right_input=1897, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1897","layer":3},{"info":"compute unary expreesion, input=1897, 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=-7109, 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=4480","layer":4},{"info":"number node, value=4542","layer":4},{"info":"compute binary expreesion, left_input=4480, right_input=4542, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=62","layer":3},{"info":"compute unary expreesion, input=62, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=11","layer":2},{"info":"number node, value=5427","layer":4},{"info":"number node, value=1376","layer":4},{"info":"compute binary expreesion, left_input=5427, right_input=1376, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1379","layer":3},{"info":"number node, value=3834","layer":4},{"info":"number node, value=2571","layer":4},{"info":"compute binary expreesion, left_input=3834, right_input=2571, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=7544","layer":3},{"info":"compute binary expreesion, left_input=-1379, right_input=7544, 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=11, 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 = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1575+⊺⇮1804)⨰(⊺⇮6312+⊺⇮4186)≧⫂∧(∂(⊺⇮2427⨎⊺⇮1897))⋥≓≎((↥(⊺⇮4480⨳⩥⨓⊺⇮4542))⫡⨏⊺⇮5427⨓⊺⇮1376∑⇟⊟⊺⇮3834⪘⫢⊺⇮2571)=⊺⇮67","reverse_text":"⊺⇮67=(⊺⇮1575+⊺⇮1804)⨰(⊺⇮6312+⊺⇮4186)≧⫂∧(∂(⊺⇮2427⨎⊺⇮1897))⋥≓≎((↥(⊺⇮4480⨳⩥⨓⊺⇮4542))⫡⨏⊺⇮5427⨓⊺⇮1376∑⇟⊟⊺⇮3834⪘⫢⊺⇮2571)","cot":[{"info":"⊺⇮1575+⊺⇮1804=⊺⇮3379","layer":3},{"info":"⊺⇮6312+⊺⇮4186=⊺⇮10498","layer":3},{"info":"⊺⇮3379⨰⊺⇮10498=⊺⇮-7109","layer":2},{"info":"⊺⇮2427⨎⊺⇮1897=⊺⇮1897","layer":3},{"info":"∂⊺⇮1897=NaN","layer":2},{"info":"⊺⇮-7109≧⫂∧NaN=NaN","layer":1},{"info":"⊺⇮4480⨳⩥⨓⊺⇮4542=⊺⇮62","layer":3},{"info":"↥⊺⇮62=⊺⇮11","layer":2},{"info":"⊺⇮5427⨓⊺⇮1376=⊺⇮-1379","layer":3},{"info":"⊺⇮3834⪘⫢⊺⇮2571=⊺⇮7544","layer":3},{"info":"⊺⇮-1379∑⇟⊟⊺⇮7544=NaN","layer":2},{"info":"⊺⇮11⫡⨏NaN=NaN","layer":1},{"info":"NaN⋥≓≎NaN=⊺⇮67","layer":0}]}
{"id":282,"expression_no_base_symbol":"↽≂($6430$⩷∴$5476$⊦⊿)⨪↰⇹((⨑⩽⪐$3807$)+⇶⊼($8044$-$1394$))","expression":"↽≂(⊺⇮6430⩷∴⊺⇮5476⊦⊿)⨪↰⇹((⨑⩽⪐⊺⇮3807)+⇶⊼(⊺⇮8044-⊺⇮1394))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":5728,"operation_count":7,"complexity_ratio":818.2857142857143,"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":6430,"base":10},"right_expr":{"type":"numeric_atoms","value":5476,"base":10}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":3807,"base":10}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":8044,"base":10},"right_expr":{"type":"numeric_atoms","value":1394,"base":10}}}}},"used_operators":["u6S6b8DprG","tmPS8pqC7x","14qkJME0vr","9FxExcQeMw","TpPTUOHfaN","AF7qkfDlqP","rysDP5nf3Z"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"⊺⇮-11414","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6430","layer":4},{"info":"number node, value=5476","layer":4},{"info":"compute binary expreesion, left_input=6430, right_input=5476, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1876","layer":3},{"info":"compute unary expreesion, input=1876, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-5707","layer":2},{"info":"number node, value=3807","layer":4},{"info":"compute unary expreesion, input=3807, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-3534","layer":3},{"info":"number node, value=8044","layer":4},{"info":"number node, value=1394","layer":4},{"info":"compute binary expreesion, left_input=8044, right_input=1394, op_id = rysDP5nf3Z binary_op_definition= 'None', output=6650","layer":3},{"info":"compute binary expreesion, left_input=-3534, right_input=6650, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=-5707, 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=5707","layer":1},{"info":"compute unary expreesion, input=5707, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-11414","layer":0}],"base":10,"result_base":10,"text":"↽≂(⊺⇮6430⩷∴⊺⇮5476⊦⊿)⨪↰⇹((⨑⩽⪐⊺⇮3807)+⇶⊼(⊺⇮8044-⊺⇮1394))=⊺⇮-11414","reverse_text":"⊺⇮-11414=↽≂(⊺⇮6430⩷∴⊺⇮5476⊦⊿)⨪↰⇹((⨑⩽⪐⊺⇮3807)+⇶⊼(⊺⇮8044-⊺⇮1394))","cot":[{"info":"⊺⇮6430⩷∴⊺⇮5476=⊺⇮1876","layer":3},{"info":"⊺⇮1876⊦⊿=⊺⇮-5707","layer":2},{"info":"⨑⩽⪐⊺⇮3807=⊺⇮-3534","layer":3},{"info":"⊺⇮8044-⊺⇮1394=⊺⇮6650","layer":3},{"info":"⊺⇮-3534+⇶⊼⊺⇮6650=NaN","layer":2},{"info":"⊺⇮-5707⨪↰⇹NaN=⊺⇮5707","layer":1},{"info":"↽≂⊺⇮5707=⊺⇮-11414","layer":0}]}
{"id":283,"expression_no_base_symbol":"⪲⇎(((↣≠⋷$1976$)⪒$5479$⨳⩥⨓$3467$)⊭↱($1203$⩷∴$2137$⋫))","expression":"⪲⇎(((↣≠⋷⊺⇮1976)⪒⊺⇮5479⨳⩥⨓⊺⇮3467)⊭↱(⊺⇮1203⩷∴⊺⇮2137⋫))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1923,"operation_count":7,"complexity_ratio":274.7142857142857,"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":1976,"base":10}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5479,"base":10},"right_expr":{"type":"numeric_atoms","value":3467,"base":10}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1203,"base":10},"right_expr":{"type":"numeric_atoms","value":2137,"base":10}}}}},"used_operators":["XPYlsWDdGa","COABgblf1C","f6k1SAg4EE","Asc51vEJeQ","nCS4ZIUYfx","JL8yIekQnl","9FxExcQeMw"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","tmPS8pqC7x","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1976","layer":4},{"info":"compute unary expreesion, input=1976, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=5479","layer":4},{"info":"number node, value=3467","layer":4},{"info":"compute binary expreesion, left_input=5479, right_input=3467, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2012","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2012, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=1203","layer":4},{"info":"number node, value=2137","layer":4},{"info":"compute binary expreesion, left_input=1203, right_input=2137, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-1900","layer":3},{"info":"compute unary expreesion, input=-1900, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=-1900","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1900, 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 = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⪲⇎(((↣≠⋷⊺⇮1976)⪒⊺⇮5479⨳⩥⨓⊺⇮3467)⊭↱(⊺⇮1203⩷∴⊺⇮2137⋫))=NaN","reverse_text":"NaN=⪲⇎(((↣≠⋷⊺⇮1976)⪒⊺⇮5479⨳⩥⨓⊺⇮3467)⊭↱(⊺⇮1203⩷∴⊺⇮2137⋫))","cot":[{"info":"↣≠⋷⊺⇮1976=NaN","layer":3},{"info":"⊺⇮5479⨳⩥⨓⊺⇮3467=⊺⇮-2012","layer":3},{"info":"NaN⪒⊺⇮-2012=NaN","layer":2},{"info":"⊺⇮1203⩷∴⊺⇮2137=⊺⇮-1900","layer":3},{"info":"⊺⇮-1900⋫=⊺⇮-1900","layer":2},{"info":"NaN⊭↱⊺⇮-1900=NaN","layer":1},{"info":"⪲⇎NaN=NaN","layer":0}]}
{"id":284,"expression_no_base_symbol":"($3204$⨪↰⇹$4821$↙$1415$≭$1294$)⨰(($1393$+$1152$)⨰$4349$⇷$1244$)⫸⊐((⨵≀≌$2128$)⫥∨⫟($7438$*$2303$))⩷∴(≉$7003$⫥∨⫟$2028$)","expression":"(⊺⇮3204⨪↰⇹⊺⇮4821↙⊺⇮1415≭⊺⇮1294)⨰((⊺⇮1393+⊺⇮1152)⨰⊺⇮4349⇷⊺⇮1244)⫸⊐((⨵≀≌⊺⇮2128)⫥∨⫟(⊺⇮7438*⊺⇮2303))⩷∴(≉⊺⇮7003⫥∨⫟⊺⇮2028)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":66739,"operation_count":14,"complexity_ratio":4767.071428571428,"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":3204,"base":10},"right_expr":{"type":"numeric_atoms","value":4821,"base":10}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1415,"base":10},"right_expr":{"type":"numeric_atoms","value":1294,"base":10}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1393,"base":10},"right_expr":{"type":"numeric_atoms","value":1152,"base":10}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4349,"base":10},"right_expr":{"type":"numeric_atoms","value":1244,"base":10}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":2128,"base":10}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":7438,"base":10},"right_expr":{"type":"numeric_atoms","value":2303,"base":10}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":7003,"base":10},"right_expr":{"type":"numeric_atoms","value":2028,"base":10}}}}},"used_operators":["mqXw5SEYmG","eewbuw0ToL","yyfyN0ffXY","tmPS8pqC7x","rxpJgHHUmx","W4YGzv6Whe","mp7IySMOzn","9FxExcQeMw","KYD54nUTWz","srAu1WTS94","9HNa5Wba9A","e1ybzncUwg"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rJVOvQCfKK","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3204","layer":4},{"info":"number node, value=4821","layer":4},{"info":"compute binary expreesion, left_input=3204, right_input=4821, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3204","layer":3},{"info":"number node, value=1415","layer":4},{"info":"number node, value=1294","layer":4},{"info":"compute binary expreesion, left_input=1415, right_input=1294, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=3204, 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=1393","layer":4},{"info":"number node, value=1152","layer":4},{"info":"compute binary expreesion, left_input=1393, right_input=1152, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2545","layer":3},{"info":"number node, value=4349","layer":4},{"info":"number node, value=1244","layer":4},{"info":"compute binary expreesion, left_input=4349, right_input=1244, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2488","layer":3},{"info":"compute binary expreesion, left_input=2545, right_input=2488, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"number node, value=2128","layer":4},{"info":"compute unary expreesion, input=2128, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-6384","layer":3},{"info":"number node, value=7438","layer":4},{"info":"number node, value=2303","layer":4},{"info":"compute binary expreesion, left_input=7438, right_input=2303, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=17129714","layer":3},{"info":"compute binary expreesion, left_input=-6384, right_input=17129714, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=7003","layer":4},{"info":"number node, value=2028","layer":4},{"info":"compute binary expreesion, left_input=7003, right_input=2028, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=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 = 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":10,"result_base":10,"text":"(⊺⇮3204⨪↰⇹⊺⇮4821↙⊺⇮1415≭⊺⇮1294)⨰((⊺⇮1393+⊺⇮1152)⨰⊺⇮4349⇷⊺⇮1244)⫸⊐((⨵≀≌⊺⇮2128)⫥∨⫟(⊺⇮7438*⊺⇮2303))⩷∴(≉⊺⇮7003⫥∨⫟⊺⇮2028)=NaN","reverse_text":"NaN=(⊺⇮3204⨪↰⇹⊺⇮4821↙⊺⇮1415≭⊺⇮1294)⨰((⊺⇮1393+⊺⇮1152)⨰⊺⇮4349⇷⊺⇮1244)⫸⊐((⨵≀≌⊺⇮2128)⫥∨⫟(⊺⇮7438*⊺⇮2303))⩷∴(≉⊺⇮7003⫥∨⫟⊺⇮2028)","cot":[{"info":"⊺⇮3204⨪↰⇹⊺⇮4821=⊺⇮3204","layer":3},{"info":"⊺⇮1415≭⊺⇮1294=NaN","layer":3},{"info":"⊺⇮3204↙NaN=NaN","layer":2},{"info":"⊺⇮1393+⊺⇮1152=⊺⇮2545","layer":3},{"info":"⊺⇮4349⇷⊺⇮1244=⊺⇮2488","layer":3},{"info":"⊺⇮2545⨰⊺⇮2488=⊺⇮67","layer":2},{"info":"NaN⨰⊺⇮67=NaN","layer":1},{"info":"⨵≀≌⊺⇮2128=⊺⇮-6384","layer":3},{"info":"⊺⇮7438*⊺⇮2303=⊺⇮17129714","layer":3},{"info":"⊺⇮-6384⫥∨⫟⊺⇮17129714=NaN","layer":2},{"info":"⊺⇮7003⫥∨⫟⊺⇮2028=NaN","layer":3},{"info":"≉NaN=NaN","layer":2},{"info":"NaN⩷∴NaN=NaN","layer":1},{"info":"NaN⫸⊐NaN=NaN","layer":0}]}
{"id":285,"expression_no_base_symbol":"((⨞⊢$4134$)⫸⊐(↯⪼$1298$)+($4547$⪒$2948$)⇷($1183$/$1163$))↙($1012$⊭↱$5401$)⪛(↯⪼$2472$)⨓($1170$⨸⪁$4693$)≹⇙⪍(⪲⇎$2087$)","expression":"((⨞⊢⊺⇮4134)⫸⊐(↯⪼⊺⇮1298)+(⊺⇮4547⪒⊺⇮2948)⇷(⊺⇮1183/⊺⇮1163))↙(⊺⇮1012⊭↱⊺⇮5401)⪛(↯⪼⊺⇮2472)⨓(⊺⇮1170⨸⪁⊺⇮4693)≹⇙⪍(⪲⇎⊺⇮2087)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":105453,"operation_count":15,"complexity_ratio":7030.2,"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":4134,"base":10}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1298,"base":10}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":4547,"base":10},"right_expr":{"type":"numeric_atoms","value":2948,"base":10}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1183,"base":10},"right_expr":{"type":"numeric_atoms","value":1163,"base":10}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1012,"base":10},"right_expr":{"type":"numeric_atoms","value":5401,"base":10}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2472,"base":10}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1170,"base":10},"right_expr":{"type":"numeric_atoms","value":4693,"base":10}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":2087,"base":10}}}}},"used_operators":["yyfyN0ffXY","W4YGzv6Whe","mqXw5SEYmG","xUOZtlo3hN","8jW3W4yZS5","mp7IySMOzn","f6k1SAg4EE","XhwjNDsVaA","3ViojmjbAp","uFcxV4UQCh","COABgblf1C","AHs5Up7iyr","g55IO6H4Gj","XPYlsWDdGa"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4134","layer":4},{"info":"compute unary expreesion, input=4134, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-4308","layer":3},{"info":"number node, value=1298","layer":4},{"info":"compute unary expreesion, input=1298, 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=-4308, 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=4547","layer":4},{"info":"number node, value=2948","layer":4},{"info":"compute binary expreesion, left_input=4547, right_input=2948, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7495","layer":3},{"info":"number node, value=1183","layer":4},{"info":"number node, value=1163","layer":4},{"info":"compute binary expreesion, left_input=1183, right_input=1163, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=-7495, right_input=1, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2","layer":2},{"info":"compute binary expreesion, left_input=968, right_input=2, op_id = W4YGzv6Whe binary_op_definition= 'None', output=970","layer":1},{"info":"number node, value=1012","layer":4},{"info":"number node, value=5401","layer":4},{"info":"compute binary expreesion, left_input=1012, right_input=5401, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=8783","layer":3},{"info":"number node, value=2472","layer":4},{"info":"compute unary expreesion, input=2472, 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=8783, right_input=-21, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-16","layer":2},{"info":"number node, value=1170","layer":4},{"info":"number node, value=4693","layer":4},{"info":"compute binary expreesion, left_input=1170, right_input=4693, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=11726","layer":3},{"info":"number node, value=2087","layer":4},{"info":"compute unary expreesion, input=2087, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=4174","layer":3},{"info":"compute binary expreesion, left_input=11726, right_input=4174, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=-16, 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=970, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⨞⊢⊺⇮4134)⫸⊐(↯⪼⊺⇮1298)+(⊺⇮4547⪒⊺⇮2948)⇷(⊺⇮1183/⊺⇮1163))↙(⊺⇮1012⊭↱⊺⇮5401)⪛(↯⪼⊺⇮2472)⨓(⊺⇮1170⨸⪁⊺⇮4693)≹⇙⪍(⪲⇎⊺⇮2087)=NaN","reverse_text":"NaN=((⨞⊢⊺⇮4134)⫸⊐(↯⪼⊺⇮1298)+(⊺⇮4547⪒⊺⇮2948)⇷(⊺⇮1183/⊺⇮1163))↙(⊺⇮1012⊭↱⊺⇮5401)⪛(↯⪼⊺⇮2472)⨓(⊺⇮1170⨸⪁⊺⇮4693)≹⇙⪍(⪲⇎⊺⇮2087)","cot":[{"info":"⨞⊢⊺⇮4134=⊺⇮-4308","layer":3},{"info":"↯⪼⊺⇮1298=⊺⇮-21","layer":3},{"info":"⊺⇮-4308⫸⊐⊺⇮-21=⊺⇮968","layer":2},{"info":"⊺⇮4547⪒⊺⇮2948=⊺⇮-7495","layer":3},{"info":"⊺⇮1183/⊺⇮1163=⊺⇮1","layer":3},{"info":"⊺⇮-7495⇷⊺⇮1=⊺⇮2","layer":2},{"info":"⊺⇮968+⊺⇮2=⊺⇮970","layer":1},{"info":"⊺⇮1012⊭↱⊺⇮5401=⊺⇮8783","layer":3},{"info":"↯⪼⊺⇮2472=⊺⇮-21","layer":3},{"info":"⊺⇮8783⪛⊺⇮-21=⊺⇮-16","layer":2},{"info":"⊺⇮1170⨸⪁⊺⇮4693=⊺⇮11726","layer":3},{"info":"⪲⇎⊺⇮2087=⊺⇮4174","layer":3},{"info":"⊺⇮11726≹⇙⪍⊺⇮4174=NaN","layer":2},{"info":"⊺⇮-16⨓NaN=NaN","layer":1},{"info":"⊺⇮970↙NaN=NaN","layer":0}]}
{"id":286,"expression_no_base_symbol":"(⋗⩬⋾$1522$)⫥∨⫟($2694$↺$5233$)⨽($3884$*$2939$⨸⪁($1412$*$5220$))%(⪲⇎$1953$)⋓($1272$⨽$1626$)⨽(↣≠⋷($1724$≦≮≮))","expression":"(⋗⩬⋾⊺⇮1522)⫥∨⫟(⊺⇮2694↺⊺⇮5233)⨽(⊺⇮3884*⊺⇮2939⨸⪁(⊺⇮1412*⊺⇮5220))%(⪲⇎⊺⇮1953)⋓(⊺⇮1272⨽⊺⇮1626)⨽(↣≠⋷(⊺⇮1724≦≮≮))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5836,"operation_count":14,"complexity_ratio":416.85714285714283,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1522,"base":10}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2694,"base":10},"right_expr":{"type":"numeric_atoms","value":5233,"base":10}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3884,"base":10},"right_expr":{"type":"numeric_atoms","value":2939,"base":10}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1412,"base":10},"right_expr":{"type":"numeric_atoms","value":5220,"base":10}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1953,"base":10}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1272,"base":10},"right_expr":{"type":"numeric_atoms","value":1626,"base":10}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1724,"base":10}}}}},"used_operators":["k8jYdgA6NY","8HhzD0ZcuI","KYD54nUTWz","DpFCA1CohY","7j4O788W3g","g55IO6H4Gj","9HNa5Wba9A","T2fj7uvVaJ","XPYlsWDdGa","Asc51vEJeQ","D4vGDi5EA2"],"dependent_operators":["rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1522","layer":4},{"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":3},{"info":"number node, value=2694","layer":4},{"info":"number node, value=5233","layer":4},{"info":"compute binary expreesion, left_input=2694, right_input=5233, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5233","layer":3},{"info":"compute binary expreesion, left_input=-4566, right_input=5233, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=3884","layer":4},{"info":"number node, value=2939","layer":4},{"info":"compute binary expreesion, left_input=3884, right_input=2939, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=11415076","layer":3},{"info":"number node, value=1412","layer":4},{"info":"number node, value=5220","layer":4},{"info":"compute binary expreesion, left_input=1412, right_input=5220, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=7370640","layer":3},{"info":"compute binary expreesion, left_input=11415076, right_input=7370640, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=37571432","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=37571432, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"number node, value=1953","layer":4},{"info":"compute unary expreesion, input=1953, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3906","layer":3},{"info":"number node, value=1272","layer":4},{"info":"number node, value=1626","layer":4},{"info":"compute binary expreesion, left_input=1272, right_input=1626, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-4857516","layer":3},{"info":"compute binary expreesion, left_input=3906, right_input=-4857516, op_id = T2fj7uvVaJ binary_op_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=1724","layer":4},{"info":"compute unary expreesion, input=1724, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-5172","layer":3},{"info":"compute unary expreesion, input=-5172, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 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 = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⋗⩬⋾⊺⇮1522)⫥∨⫟(⊺⇮2694↺⊺⇮5233)⨽(⊺⇮3884*⊺⇮2939⨸⪁(⊺⇮1412*⊺⇮5220))%(⪲⇎⊺⇮1953)⋓(⊺⇮1272⨽⊺⇮1626)⨽(↣≠⋷(⊺⇮1724≦≮≮))=NaN","reverse_text":"NaN=(⋗⩬⋾⊺⇮1522)⫥∨⫟(⊺⇮2694↺⊺⇮5233)⨽(⊺⇮3884*⊺⇮2939⨸⪁(⊺⇮1412*⊺⇮5220))%(⪲⇎⊺⇮1953)⋓(⊺⇮1272⨽⊺⇮1626)⨽(↣≠⋷(⊺⇮1724≦≮≮))","cot":[{"info":"⋗⩬⋾⊺⇮1522=⊺⇮-4566","layer":3},{"info":"⊺⇮2694↺⊺⇮5233=⊺⇮5233","layer":3},{"info":"⊺⇮-4566⫥∨⫟⊺⇮5233=NaN","layer":2},{"info":"⊺⇮3884*⊺⇮2939=⊺⇮11415076","layer":3},{"info":"⊺⇮1412*⊺⇮5220=⊺⇮7370640","layer":3},{"info":"⊺⇮11415076⨸⪁⊺⇮7370640=⊺⇮37571432","layer":2},{"info":"NaN⨽⊺⇮37571432=NaN","layer":1},{"info":"⪲⇎⊺⇮1953=⊺⇮3906","layer":3},{"info":"⊺⇮1272⨽⊺⇮1626=⊺⇮-4857516","layer":3},{"info":"⊺⇮3906⋓⊺⇮-4857516=⊺⇮0","layer":2},{"info":"⊺⇮1724≦≮≮=⊺⇮-5172","layer":3},{"info":"↣≠⋷⊺⇮-5172=NaN","layer":2},{"info":"⊺⇮0⨽NaN=NaN","layer":1},{"info":"NaN%NaN=NaN","layer":0}]}
{"id":287,"expression_no_base_symbol":"(↣≠⋷(($2409$⨐⩸⫘$1145$)⨟⋌⩍($2617$⫡⨏$5109$)))⫸⊐($1334$+$4637$)∑⇟⊟($3678$⊘)⨳⩥⨓(↽≂($1295$⪒$2298$))","expression":"(↣≠⋷((⊺⇮2409⨐⩸⫘⊺⇮1145)⨟⋌⩍(⊺⇮2617⫡⨏⊺⇮5109)))⫸⊐(⊺⇮1334+⊺⇮4637)∑⇟⊟(⊺⇮3678⊘)⨳⩥⨓(↽≂(⊺⇮1295⪒⊺⇮2298))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":46,"operation_count":11,"complexity_ratio":4.181818181818182,"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":2409,"base":10},"right_expr":{"type":"numeric_atoms","value":1145,"base":10}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2617,"base":10},"right_expr":{"type":"numeric_atoms","value":5109,"base":10}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1334,"base":10},"right_expr":{"type":"numeric_atoms","value":4637,"base":10}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":3678,"base":10}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1295,"base":10},"right_expr":{"type":"numeric_atoms","value":2298,"base":10}}}}},"used_operators":["mqXw5SEYmG","Asc51vEJeQ","rGHVDoGpnC","fu6greOZ01","QMFrweE19q","nCS4ZIUYfx","U7g4x0WXJJ","W4YGzv6Whe","gu96TGCTMs","u6S6b8DprG","f6k1SAg4EE"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","XhwjNDsVaA","AHs5Up7iyr","Tcnh7f0tEr","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2409","layer":4},{"info":"number node, value=1145","layer":4},{"info":"compute binary expreesion, left_input=2409, right_input=1145, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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":"number node, value=5109","layer":4},{"info":"compute binary expreesion, left_input=2617, right_input=5109, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=24086","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=24086, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"number node, value=1334","layer":4},{"info":"number node, value=4637","layer":4},{"info":"compute binary expreesion, left_input=1334, right_input=4637, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5971","layer":3},{"info":"number node, value=3678","layer":4},{"info":"compute unary expreesion, input=3678, 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=5971, right_input=0, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=5971","layer":2},{"info":"number node, value=1295","layer":4},{"info":"number node, value=2298","layer":4},{"info":"compute binary expreesion, left_input=1295, right_input=2298, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3593","layer":3},{"info":"compute unary expreesion, input=-3593, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=7186","layer":2},{"info":"compute binary expreesion, left_input=5971, right_input=7186, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1215","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1215, 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":10,"result_base":10,"text":"(↣≠⋷((⊺⇮2409⨐⩸⫘⊺⇮1145)⨟⋌⩍(⊺⇮2617⫡⨏⊺⇮5109)))⫸⊐(⊺⇮1334+⊺⇮4637)∑⇟⊟(⊺⇮3678⊘)⨳⩥⨓(↽≂(⊺⇮1295⪒⊺⇮2298))=NaN","reverse_text":"NaN=(↣≠⋷((⊺⇮2409⨐⩸⫘⊺⇮1145)⨟⋌⩍(⊺⇮2617⫡⨏⊺⇮5109)))⫸⊐(⊺⇮1334+⊺⇮4637)∑⇟⊟(⊺⇮3678⊘)⨳⩥⨓(↽≂(⊺⇮1295⪒⊺⇮2298))","cot":[{"info":"⊺⇮2409⨐⩸⫘⊺⇮1145=NaN","layer":3},{"info":"⊺⇮2617⫡⨏⊺⇮5109=⊺⇮24086","layer":3},{"info":"NaN⨟⋌⩍⊺⇮24086=NaN","layer":2},{"info":"↣≠⋷NaN=NaN","layer":1},{"info":"⊺⇮1334+⊺⇮4637=⊺⇮5971","layer":3},{"info":"⊺⇮3678⊘=⊺⇮0","layer":3},{"info":"⊺⇮5971∑⇟⊟⊺⇮0=⊺⇮5971","layer":2},{"info":"⊺⇮1295⪒⊺⇮2298=⊺⇮-3593","layer":3},{"info":"↽≂⊺⇮-3593=⊺⇮7186","layer":2},{"info":"⊺⇮5971⨳⩥⨓⊺⇮7186=⊺⇮1215","layer":1},{"info":"NaN⫸⊐⊺⇮1215=NaN","layer":0}]}
{"id":288,"expression_no_base_symbol":"((($1253$⨐⩸⫘$1275$)⨐⩸⫘($6498$⊠≄⫣))∀⇚≩($1356$⋝⋈⪟$1058$↛⩡⫤))∧","expression":"(((⊺⇮1253⨐⩸⫘⊺⇮1275)⨐⩸⫘(⊺⇮6498⊠≄⫣))∀⇚≩(⊺⇮1356⋝⋈⪟⊺⇮1058↛⩡⫤))∧","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4219,"operation_count":7,"complexity_ratio":602.7142857142857,"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":1253,"base":10},"right_expr":{"type":"numeric_atoms","value":1275,"base":10}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":6498,"base":10}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1356,"base":10},"right_expr":{"type":"numeric_atoms","value":1058,"base":10}}}}},"used_operators":["z63VuFQld9","LRNGc0VcxI","fu6greOZ01","DIvbN7qnHd","FU0Cs4j7VP","2DDjHMKMc0"],"dependent_operators":["B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","X99M06cbEe","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1253","layer":4},{"info":"number node, value=1275","layer":4},{"info":"compute binary expreesion, left_input=1253, right_input=1275, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=6498","layer":4},{"info":"compute unary expreesion, input=6498, 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 = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=1356","layer":4},{"info":"number node, value=1058","layer":4},{"info":"compute binary expreesion, left_input=1356, right_input=1058, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1356","layer":3},{"info":"compute unary expreesion, input=1356, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-200845","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-200845, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮1253⨐⩸⫘⊺⇮1275)⨐⩸⫘(⊺⇮6498⊠≄⫣))∀⇚≩(⊺⇮1356⋝⋈⪟⊺⇮1058↛⩡⫤))∧=NaN","reverse_text":"NaN=(((⊺⇮1253⨐⩸⫘⊺⇮1275)⨐⩸⫘(⊺⇮6498⊠≄⫣))∀⇚≩(⊺⇮1356⋝⋈⪟⊺⇮1058↛⩡⫤))∧","cot":[{"info":"⊺⇮1253⨐⩸⫘⊺⇮1275=NaN","layer":3},{"info":"⊺⇮6498⊠≄⫣=⊺⇮0","layer":3},{"info":"NaN⨐⩸⫘⊺⇮0=NaN","layer":2},{"info":"⊺⇮1356⋝⋈⪟⊺⇮1058=⊺⇮1356","layer":3},{"info":"⊺⇮1356↛⩡⫤=⊺⇮-200845","layer":2},{"info":"NaN∀⇚≩⊺⇮-200845=NaN","layer":1},{"info":"NaN∧=NaN","layer":0}]}
{"id":289,"expression_no_base_symbol":"((↔(⫛⫱⨽$1815$))≋⫹)⫩⊇","expression":"((↔(⫛⫱⨽⊺⇮1815))≋⫹)⫩⊇","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1437,"operation_count":4,"complexity_ratio":359.25,"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":1815,"base":10}}}}},"used_operators":["BjRHVeLaeN","N41Kp7NANJ","ruOEQAzv1W","DlLNRPXxWL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rGHVDoGpnC"],"result":"⊺⇮1620","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1815","layer":4},{"info":"compute unary expreesion, input=1815, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=789","layer":2},{"info":"compute unary expreesion, input=789, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-1578","layer":1},{"info":"compute unary expreesion, input=-1578, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=1620","layer":0}],"base":10,"result_base":10,"text":"((↔(⫛⫱⨽⊺⇮1815))≋⫹)⫩⊇=⊺⇮1620","reverse_text":"⊺⇮1620=((↔(⫛⫱⨽⊺⇮1815))≋⫹)⫩⊇","cot":[{"info":"⫛⫱⨽⊺⇮1815=⊺⇮0","layer":3},{"info":"↔⊺⇮0=⊺⇮789","layer":2},{"info":"⊺⇮789≋⫹=⊺⇮-1578","layer":1},{"info":"⊺⇮-1578⫩⊇=⊺⇮1620","layer":0}]}
{"id":290,"expression_no_base_symbol":"(($6283$↺$4227$)≭$3216$⨓$7414$⫡⨏($3550$⨸⪁$1626$)↙(≉$1738$))∀⇚≩(($3330$⨓$2096$∸)⊦⊿)","expression":"((⊺⇮6283↺⊺⇮4227)≭⊺⇮3216⨓⊺⇮7414⫡⨏(⊺⇮3550⨸⪁⊺⇮1626)↙(≉⊺⇮1738))∀⇚≩((⊺⇮3330⨓⊺⇮2096∸)⊦⊿)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":11993,"operation_count":11,"complexity_ratio":1090.2727272727273,"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":6283,"base":10},"right_expr":{"type":"numeric_atoms","value":4227,"base":10}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3216,"base":10},"right_expr":{"type":"numeric_atoms","value":7414,"base":10}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3550,"base":10},"right_expr":{"type":"numeric_atoms","value":1626,"base":10}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1738,"base":10}}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3330,"base":10},"right_expr":{"type":"numeric_atoms","value":2096,"base":10}}}}},"used_operators":["LRNGc0VcxI","QMFrweE19q","rxpJgHHUmx","7j4O788W3g","3ViojmjbAp","yyfyN0ffXY","g55IO6H4Gj","e1ybzncUwg","14qkJME0vr","o20kRiQErp"],"dependent_operators":["X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6283","layer":4},{"info":"number node, value=4227","layer":4},{"info":"compute binary expreesion, left_input=6283, right_input=4227, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4227","layer":3},{"info":"number node, value=3216","layer":4},{"info":"number node, value=7414","layer":4},{"info":"compute binary expreesion, left_input=3216, right_input=7414, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-7417","layer":3},{"info":"compute binary expreesion, left_input=4227, right_input=-7417, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=3550","layer":4},{"info":"number node, value=1626","layer":4},{"info":"compute binary expreesion, left_input=3550, right_input=1626, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10352","layer":3},{"info":"number node, value=1738","layer":4},{"info":"compute unary expreesion, input=1738, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2269","layer":3},{"info":"compute binary expreesion, left_input=10352, right_input=2269, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-6807","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-6807, op_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=3330","layer":4},{"info":"number node, value=2096","layer":4},{"info":"compute binary expreesion, left_input=3330, 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 = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"compute unary expreesion, input=177, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-610","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-610, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":10,"result_base":10,"text":"((⊺⇮6283↺⊺⇮4227)≭⊺⇮3216⨓⊺⇮7414⫡⨏(⊺⇮3550⨸⪁⊺⇮1626)↙(≉⊺⇮1738))∀⇚≩((⊺⇮3330⨓⊺⇮2096∸)⊦⊿)=NaN","reverse_text":"NaN=((⊺⇮6283↺⊺⇮4227)≭⊺⇮3216⨓⊺⇮7414⫡⨏(⊺⇮3550⨸⪁⊺⇮1626)↙(≉⊺⇮1738))∀⇚≩((⊺⇮3330⨓⊺⇮2096∸)⊦⊿)","cot":[{"info":"⊺⇮6283↺⊺⇮4227=⊺⇮4227","layer":3},{"info":"⊺⇮3216⨓⊺⇮7414=⊺⇮-7417","layer":3},{"info":"⊺⇮4227≭⊺⇮-7417=NaN","layer":2},{"info":"⊺⇮3550⨸⪁⊺⇮1626=⊺⇮10352","layer":3},{"info":"≉⊺⇮1738=⊺⇮2269","layer":3},{"info":"⊺⇮10352↙⊺⇮2269=⊺⇮-6807","layer":2},{"info":"NaN⫡⨏⊺⇮-6807=NaN","layer":1},{"info":"⊺⇮3330⨓⊺⇮2096=⊺⇮-2099","layer":3},{"info":"⊺⇮-2099∸=⊺⇮177","layer":2},{"info":"⊺⇮177⊦⊿=⊺⇮-610","layer":1},{"info":"NaN∀⇚≩⊺⇮-610=NaN","layer":0}]}
{"id":291,"expression_no_base_symbol":"((⋗⩬⋾$2590$)⨵⪆$1078$≧⫂∧$5213$)⨸⪁((⊥$1151$)⊉≛↸(≦∁$1632$))+($1490$⫡⨏$2350$)⋥≓≎$3319$⩚⊴⇥$1127$⊉≛↸(($3982$⊭∹↮)⫩⊇)","expression":"((⋗⩬⋾⊺⇮2590)⨵⪆⊺⇮1078≧⫂∧⊺⇮5213)⨸⪁((⊥⊺⇮1151)⊉≛↸(≦∁⊺⇮1632))+(⊺⇮1490⫡⨏⊺⇮2350)⋥≓≎⊺⇮3319⩚⊴⇥⊺⇮1127⊉≛↸((⊺⇮3982⊭∹↮)⫩⊇)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":39,"operation_count":14,"complexity_ratio":2.7857142857142856,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":2590,"base":10}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1078,"base":10},"right_expr":{"type":"numeric_atoms","value":5213,"base":10}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1151,"base":10}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1632,"base":10}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1490,"base":10},"right_expr":{"type":"numeric_atoms","value":2350,"base":10}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3319,"base":10},"right_expr":{"type":"numeric_atoms","value":1127,"base":10}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":3982,"base":10}}}}},"used_operators":["W4YGzv6Whe","g55IO6H4Gj","2DQ55sFlQl","DpFCA1CohY","Ph9nP6C5qx","DZ8iAZOCBD","Q3PJZHRvZv","9ICcGScMcE","Qy55tPpLXF","QMFrweE19q","NTOWxs364D","BjRHVeLaeN","xNBdhnnwKq"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2590","layer":4},{"info":"compute unary expreesion, input=2590, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-7770","layer":3},{"info":"number node, value=1078","layer":4},{"info":"number node, value=5213","layer":4},{"info":"compute binary expreesion, left_input=1078, right_input=5213, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4740","layer":3},{"info":"compute binary expreesion, left_input=-7770, right_input=4740, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=1151","layer":4},{"info":"compute unary expreesion, input=1151, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=1632","layer":4},{"info":"compute unary expreesion, input=1632, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1632","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1632, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"number node, value=1490","layer":4},{"info":"number node, value=2350","layer":4},{"info":"compute binary expreesion, left_input=1490, right_input=2350, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=12933","layer":3},{"info":"number node, value=3319","layer":4},{"info":"number node, value=1127","layer":4},{"info":"compute binary expreesion, left_input=3319, right_input=1127, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4567","layer":3},{"info":"compute binary expreesion, left_input=12933, right_input=-4567, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-22034","layer":2},{"info":"number node, value=3982","layer":4},{"info":"compute unary expreesion, input=3982, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=7964","layer":3},{"info":"compute unary expreesion, input=7964, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-7922","layer":2},{"info":"compute binary expreesion, left_input=-22034, right_input=-7922, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=7922","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=7922, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⋗⩬⋾⊺⇮2590)⨵⪆⊺⇮1078≧⫂∧⊺⇮5213)⨸⪁((⊥⊺⇮1151)⊉≛↸(≦∁⊺⇮1632))+(⊺⇮1490⫡⨏⊺⇮2350)⋥≓≎⊺⇮3319⩚⊴⇥⊺⇮1127⊉≛↸((⊺⇮3982⊭∹↮)⫩⊇)=NaN","reverse_text":"NaN=((⋗⩬⋾⊺⇮2590)⨵⪆⊺⇮1078≧⫂∧⊺⇮5213)⨸⪁((⊥⊺⇮1151)⊉≛↸(≦∁⊺⇮1632))+(⊺⇮1490⫡⨏⊺⇮2350)⋥≓≎⊺⇮3319⩚⊴⇥⊺⇮1127⊉≛↸((⊺⇮3982⊭∹↮)⫩⊇)","cot":[{"info":"⋗⩬⋾⊺⇮2590=⊺⇮-7770","layer":3},{"info":"⊺⇮1078≧⫂∧⊺⇮5213=⊺⇮4740","layer":3},{"info":"⊺⇮-7770⨵⪆⊺⇮4740=⊺⇮160","layer":2},{"info":"⊥⊺⇮1151=NaN","layer":3},{"info":"≦∁⊺⇮1632=⊺⇮1632","layer":3},{"info":"NaN⊉≛↸⊺⇮1632=NaN","layer":2},{"info":"⊺⇮160⨸⪁NaN=NaN","layer":1},{"info":"⊺⇮1490⫡⨏⊺⇮2350=⊺⇮12933","layer":3},{"info":"⊺⇮3319⩚⊴⇥⊺⇮1127=⊺⇮-4567","layer":3},{"info":"⊺⇮12933⋥≓≎⊺⇮-4567=⊺⇮-22034","layer":2},{"info":"⊺⇮3982⊭∹↮=⊺⇮7964","layer":3},{"info":"⊺⇮7964⫩⊇=⊺⇮-7922","layer":2},{"info":"⊺⇮-22034⊉≛↸⊺⇮-7922=⊺⇮7922","layer":1},{"info":"NaN+⊺⇮7922=NaN","layer":0}]}
{"id":292,"expression_no_base_symbol":"(-$8812$≹⇙⪍$2652$)⪛($1877$⇷$1432$+$1760$⪢$8532$)/(↽≂$9385$+⇶⊼$1839$)≹⇙⪍((⊄⩳↩$2518$)⫥∨⫟(⇁⨣⪵$7724$))","expression":"(-⊺⇮8812≹⇙⪍⊺⇮2652)⪛(⊺⇮1877⇷⊺⇮1432+⊺⇮1760⪢⊺⇮8532)/(↽≂⊺⇮9385+⇶⊼⊺⇮1839)≹⇙⪍((⊄⩳↩⊺⇮2518)⫥∨⫟(⇁⨣⪵⊺⇮7724))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":34987,"operation_count":13,"complexity_ratio":2691.3076923076924,"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":8812,"base":10},"right_expr":{"type":"numeric_atoms","value":2652,"base":10}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1877,"base":10},"right_expr":{"type":"numeric_atoms","value":1432,"base":10}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1760,"base":10},"right_expr":{"type":"numeric_atoms","value":8532,"base":10}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":9385,"base":10},"right_expr":{"type":"numeric_atoms","value":1839,"base":10}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":2518,"base":10}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":7724,"base":10}}}}},"used_operators":["XhwjNDsVaA","uFcxV4UQCh","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","mp7IySMOzn","dWAJyo7jo9","u6S6b8DprG","TpPTUOHfaN","KYD54nUTWz","8w2t5hMYqp","inkyxCbjAn"],"dependent_operators":["rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=8812","layer":4},{"info":"number node, value=2652","layer":4},{"info":"compute binary expreesion, left_input=8812, right_input=2652, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":2},{"info":"number node, value=1877","layer":4},{"info":"number node, value=1432","layer":4},{"info":"compute binary expreesion, left_input=1877, right_input=1432, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2864","layer":3},{"info":"number node, value=1760","layer":4},{"info":"number node, value=8532","layer":4},{"info":"compute binary expreesion, left_input=1760, right_input=8532, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=2864, 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 = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"number node, value=9385","layer":4},{"info":"number node, value=1839","layer":4},{"info":"compute binary expreesion, left_input=9385, right_input=1839, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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 = 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=2518","layer":4},{"info":"compute unary expreesion, input=2518, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-7554","layer":3},{"info":"number node, value=7724","layer":4},{"info":"compute unary expreesion, input=7724, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-7554, 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 = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":10,"result_base":10,"text":"(-⊺⇮8812≹⇙⪍⊺⇮2652)⪛(⊺⇮1877⇷⊺⇮1432+⊺⇮1760⪢⊺⇮8532)/(↽≂⊺⇮9385+⇶⊼⊺⇮1839)≹⇙⪍((⊄⩳↩⊺⇮2518)⫥∨⫟(⇁⨣⪵⊺⇮7724))=NaN","reverse_text":"NaN=(-⊺⇮8812≹⇙⪍⊺⇮2652)⪛(⊺⇮1877⇷⊺⇮1432+⊺⇮1760⪢⊺⇮8532)/(↽≂⊺⇮9385+⇶⊼⊺⇮1839)≹⇙⪍((⊄⩳↩⊺⇮2518)⫥∨⫟(⇁⨣⪵⊺⇮7724))","cot":[{"info":"⊺⇮8812≹⇙⪍⊺⇮2652=NaN","layer":3},{"info":"-NaN=NaN","layer":2},{"info":"⊺⇮1877⇷⊺⇮1432=⊺⇮2864","layer":3},{"info":"⊺⇮1760⪢⊺⇮8532=NaN","layer":3},{"info":"⊺⇮2864+NaN=NaN","layer":2},{"info":"NaN⪛NaN=NaN","layer":1},{"info":"⊺⇮9385+⇶⊼⊺⇮1839=NaN","layer":3},{"info":"↽≂NaN=NaN","layer":2},{"info":"⊄⩳↩⊺⇮2518=⊺⇮-7554","layer":3},{"info":"⇁⨣⪵⊺⇮7724=NaN","layer":3},{"info":"⊺⇮-7554⫥∨⫟NaN=NaN","layer":2},{"info":"NaN≹⇙⪍NaN=NaN","layer":1},{"info":"NaN/NaN=NaN","layer":0}]}
{"id":293,"expression_no_base_symbol":"(((⨈⫕$3855$)⋷$7493$⩨$3496$)⊭↱($2994$⋥≓≎$4687$*(⨞⊢$5577$)))≹⇙⪍(+⊝⨔($2317$⨰$2595$⪒$4482$+⇶⊼$1013$))","expression":"(((⨈⫕⊺⇮3855)⋷⊺⇮7493⩨⊺⇮3496)⊭↱(⊺⇮2994⋥≓≎⊺⇮4687*(⨞⊢⊺⇮5577)))≹⇙⪍(+⊝⨔(⊺⇮2317⨰⊺⇮2595⪒⊺⇮4482+⇶⊼⊺⇮1013))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6186,"operation_count":12,"complexity_ratio":515.5,"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":3855,"base":10}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":7493,"base":10},"right_expr":{"type":"numeric_atoms","value":3496,"base":10}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2994,"base":10},"right_expr":{"type":"numeric_atoms","value":4687,"base":10}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":5577,"base":10}}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2317,"base":10},"right_expr":{"type":"numeric_atoms","value":2595,"base":10}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4482,"base":10},"right_expr":{"type":"numeric_atoms","value":1013,"base":10}}}}},"used_operators":["AHs5Up7iyr","COABgblf1C","23Mk6UjR3U","megm06wKyl","2DlMacCsIx","9HNa5Wba9A","Qy55tPpLXF","xUOZtlo3hN","DhbWaqg5eL","f6k1SAg4EE","eewbuw0ToL","TpPTUOHfaN"],"dependent_operators":["dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3855","layer":4},{"info":"compute unary expreesion, input=3855, 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=7493","layer":4},{"info":"number node, value=3496","layer":4},{"info":"compute binary expreesion, left_input=7493, right_input=3496, 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=-21, right_input=0, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=42","layer":2},{"info":"number node, value=2994","layer":4},{"info":"number node, value=4687","layer":4},{"info":"compute binary expreesion, left_input=2994, right_input=4687, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=6413","layer":3},{"info":"number node, value=5577","layer":4},{"info":"compute unary expreesion, input=5577, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-5751","layer":3},{"info":"compute binary expreesion, left_input=6413, right_input=-5751, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-36881163","layer":2},{"info":"compute binary expreesion, left_input=42, right_input=-36881163, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-73762405","layer":1},{"info":"number node, value=2317","layer":4},{"info":"number node, value=2595","layer":4},{"info":"compute binary expreesion, left_input=2317, right_input=2595, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-268","layer":3},{"info":"number node, value=4482","layer":4},{"info":"number node, value=1013","layer":4},{"info":"compute binary expreesion, left_input=4482, right_input=1013, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=-268, 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 = 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=-73762405, right_input=1522, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((⨈⫕⊺⇮3855)⋷⊺⇮7493⩨⊺⇮3496)⊭↱(⊺⇮2994⋥≓≎⊺⇮4687*(⨞⊢⊺⇮5577)))≹⇙⪍(+⊝⨔(⊺⇮2317⨰⊺⇮2595⪒⊺⇮4482+⇶⊼⊺⇮1013))=NaN","reverse_text":"NaN=(((⨈⫕⊺⇮3855)⋷⊺⇮7493⩨⊺⇮3496)⊭↱(⊺⇮2994⋥≓≎⊺⇮4687*(⨞⊢⊺⇮5577)))≹⇙⪍(+⊝⨔(⊺⇮2317⨰⊺⇮2595⪒⊺⇮4482+⇶⊼⊺⇮1013))","cot":[{"info":"⨈⫕⊺⇮3855=⊺⇮-21","layer":3},{"info":"⊺⇮7493⩨⊺⇮3496=⊺⇮0","layer":3},{"info":"⊺⇮-21⋷⊺⇮0=⊺⇮42","layer":2},{"info":"⊺⇮2994⋥≓≎⊺⇮4687=⊺⇮6413","layer":3},{"info":"⨞⊢⊺⇮5577=⊺⇮-5751","layer":3},{"info":"⊺⇮6413*⊺⇮-5751=⊺⇮-36881163","layer":2},{"info":"⊺⇮42⊭↱⊺⇮-36881163=⊺⇮-73762405","layer":1},{"info":"⊺⇮2317⨰⊺⇮2595=⊺⇮-268","layer":3},{"info":"⊺⇮4482+⇶⊼⊺⇮1013=NaN","layer":3},{"info":"⊺⇮-268⪒NaN=NaN","layer":2},{"info":"+⊝⨔NaN=⊺⇮1522","layer":1},{"info":"⊺⇮-73762405≹⇙⪍⊺⇮1522=NaN","layer":0}]}
{"id":294,"expression_no_base_symbol":"($2343$⪘⫢$1958$⨎$1122$⨪↰⇹$3455$⨳⩥⨓(($1808$⨵⪆$2118$)-$3055$⪄$5364$))∸","expression":"(⊺⇮2343⪘⫢⊺⇮1958⨎⊺⇮1122⨪↰⇹⊺⇮3455⨳⩥⨓((⊺⇮1808⨵⪆⊺⇮2118)-⊺⇮3055⪄⊺⇮5364))∸","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1415,"operation_count":8,"complexity_ratio":176.875,"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":2343,"base":10},"right_expr":{"type":"numeric_atoms","value":1958,"base":10}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1122,"base":10},"right_expr":{"type":"numeric_atoms","value":3455,"base":10}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1808,"base":10},"right_expr":{"type":"numeric_atoms","value":2118,"base":10}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3055,"base":10},"right_expr":{"type":"numeric_atoms","value":5364,"base":10}}}}},"used_operators":["o20kRiQErp","nCS4ZIUYfx","rJVOvQCfKK","oacrs7FA3X","tmPS8pqC7x","rysDP5nf3Z","2DQ55sFlQl","SUmda5xLS4"],"dependent_operators":["tmPS8pqC7x","W4YGzv6Whe","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"⊺⇮177","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2343","layer":4},{"info":"number node, value=1958","layer":4},{"info":"compute binary expreesion, left_input=2343, right_input=1958, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4562","layer":3},{"info":"number node, value=1122","layer":4},{"info":"number node, value=3455","layer":4},{"info":"compute binary expreesion, left_input=1122, right_input=3455, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1122","layer":3},{"info":"compute binary expreesion, left_input=4562, right_input=1122, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1122","layer":2},{"info":"number node, value=1808","layer":4},{"info":"number node, value=2118","layer":4},{"info":"compute binary expreesion, left_input=1808, right_input=2118, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=3055","layer":4},{"info":"number node, value=5364","layer":4},{"info":"compute binary expreesion, left_input=3055, right_input=5364, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-469685","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-469685, op_id = rysDP5nf3Z binary_op_definition= 'None', output=469845","layer":2},{"info":"compute binary expreesion, left_input=1122, right_input=469845, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=468723","layer":1},{"info":"compute unary expreesion, input=468723, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮2343⪘⫢⊺⇮1958⨎⊺⇮1122⨪↰⇹⊺⇮3455⨳⩥⨓((⊺⇮1808⨵⪆⊺⇮2118)-⊺⇮3055⪄⊺⇮5364))∸=⊺⇮177","reverse_text":"⊺⇮177=(⊺⇮2343⪘⫢⊺⇮1958⨎⊺⇮1122⨪↰⇹⊺⇮3455⨳⩥⨓((⊺⇮1808⨵⪆⊺⇮2118)-⊺⇮3055⪄⊺⇮5364))∸","cot":[{"info":"⊺⇮2343⪘⫢⊺⇮1958=⊺⇮4562","layer":3},{"info":"⊺⇮1122⨪↰⇹⊺⇮3455=⊺⇮1122","layer":3},{"info":"⊺⇮4562⨎⊺⇮1122=⊺⇮1122","layer":2},{"info":"⊺⇮1808⨵⪆⊺⇮2118=⊺⇮160","layer":3},{"info":"⊺⇮3055⪄⊺⇮5364=⊺⇮-469685","layer":3},{"info":"⊺⇮160-⊺⇮-469685=⊺⇮469845","layer":2},{"info":"⊺⇮1122⨳⩥⨓⊺⇮469845=⊺⇮468723","layer":1},{"info":"⊺⇮468723∸=⊺⇮177","layer":0}]}
{"id":295,"expression_no_base_symbol":"(($1440$⪛$1257$⪄(⇁⨣⪵$2581$))⪠⩆⊳)⨳⩥⨓(($6678$≧⫂∧$5150$⋷$3360$↙$2419$)↛⩡⫤)","expression":"((⊺⇮1440⪛⊺⇮1257⪄(⇁⨣⪵⊺⇮2581))⪠⩆⊳)⨳⩥⨓((⊺⇮6678≧⫂∧⊺⇮5150⋷⊺⇮3360↙⊺⇮2419)↛⩡⫤)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":60222,"operation_count":9,"complexity_ratio":6691.333333333333,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1440,"base":10},"right_expr":{"type":"numeric_atoms","value":1257,"base":10}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2581,"base":10}}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":6678,"base":10},"right_expr":{"type":"numeric_atoms","value":5150,"base":10}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3360,"base":10},"right_expr":{"type":"numeric_atoms","value":2419,"base":10}}}}},"used_operators":["nCS4ZIUYfx","JLbD19bQDL","SUmda5xLS4","uFcxV4UQCh","inkyxCbjAn","FU0Cs4j7VP","23Mk6UjR3U","Ph9nP6C5qx","yyfyN0ffXY"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","B5M0gjZbta","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1440","layer":4},{"info":"number node, value=1257","layer":4},{"info":"compute binary expreesion, left_input=1440, right_input=1257, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=183","layer":3},{"info":"number node, value=2581","layer":4},{"info":"compute unary expreesion, input=2581, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=183, 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 = 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=6678","layer":4},{"info":"number node, value=5150","layer":4},{"info":"compute binary expreesion, left_input=6678, right_input=5150, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4677","layer":3},{"info":"number node, value=3360","layer":4},{"info":"number node, value=2419","layer":4},{"info":"compute binary expreesion, left_input=3360, right_input=2419, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-7257","layer":3},{"info":"compute binary expreesion, left_input=4677, right_input=-7257, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-19191","layer":2},{"info":"compute unary expreesion, input=-19191, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-2740402","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2740402, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1440⪛⊺⇮1257⪄(⇁⨣⪵⊺⇮2581))⪠⩆⊳)⨳⩥⨓((⊺⇮6678≧⫂∧⊺⇮5150⋷⊺⇮3360↙⊺⇮2419)↛⩡⫤)=NaN","reverse_text":"NaN=((⊺⇮1440⪛⊺⇮1257⪄(⇁⨣⪵⊺⇮2581))⪠⩆⊳)⨳⩥⨓((⊺⇮6678≧⫂∧⊺⇮5150⋷⊺⇮3360↙⊺⇮2419)↛⩡⫤)","cot":[{"info":"⊺⇮1440⪛⊺⇮1257=⊺⇮183","layer":3},{"info":"⇁⨣⪵⊺⇮2581=NaN","layer":3},{"info":"⊺⇮183⪄NaN=NaN","layer":2},{"info":"NaN⪠⩆⊳=NaN","layer":1},{"info":"⊺⇮6678≧⫂∧⊺⇮5150=⊺⇮4677","layer":3},{"info":"⊺⇮3360↙⊺⇮2419=⊺⇮-7257","layer":3},{"info":"⊺⇮4677⋷⊺⇮-7257=⊺⇮-19191","layer":2},{"info":"⊺⇮-19191↛⩡⫤=⊺⇮-2740402","layer":1},{"info":"NaN⨳⩥⨓⊺⇮-2740402=NaN","layer":0}]}
{"id":296,"expression_no_base_symbol":"⨑⩽⪐(($3308$+$7569$⪨≂$1077$⨟⋌⩍$2608$)⇼⇔∾($3250$⨐⩸⫘$4753$⇼⇔∾(⨑⩽⪐$7872$)))","expression":"⨑⩽⪐((⊺⇮3308+⊺⇮7569⪨≂⊺⇮1077⨟⋌⩍⊺⇮2608)⇼⇔∾(⊺⇮3250⨐⩸⫘⊺⇮4753⇼⇔∾(⨑⩽⪐⊺⇮7872)))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":23,"operation_count":8,"complexity_ratio":2.875,"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":3308,"base":10},"right_expr":{"type":"numeric_atoms","value":7569,"base":10}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1077,"base":10},"right_expr":{"type":"numeric_atoms","value":2608,"base":10}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3250,"base":10},"right_expr":{"type":"numeric_atoms","value":4753,"base":10}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":7872,"base":10}}}}},"used_operators":["AF7qkfDlqP","tifHPKVTfV","sdazOOVcIp","W4YGzv6Whe","rGHVDoGpnC","fu6greOZ01"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3308","layer":4},{"info":"number node, value=7569","layer":4},{"info":"compute binary expreesion, left_input=3308, right_input=7569, op_id = W4YGzv6Whe binary_op_definition= 'None', output=10877","layer":3},{"info":"number node, value=1077","layer":4},{"info":"number node, value=2608","layer":4},{"info":"compute binary expreesion, left_input=1077, right_input=2608, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=10877, 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=3250","layer":4},{"info":"number node, value=4753","layer":4},{"info":"compute binary expreesion, left_input=3250, right_input=4753, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=7872","layer":4},{"info":"compute unary expreesion, input=7872, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-7599","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-7599, 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 = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⨑⩽⪐((⊺⇮3308+⊺⇮7569⪨≂⊺⇮1077⨟⋌⩍⊺⇮2608)⇼⇔∾(⊺⇮3250⨐⩸⫘⊺⇮4753⇼⇔∾(⨑⩽⪐⊺⇮7872)))=NaN","reverse_text":"NaN=⨑⩽⪐((⊺⇮3308+⊺⇮7569⪨≂⊺⇮1077⨟⋌⩍⊺⇮2608)⇼⇔∾(⊺⇮3250⨐⩸⫘⊺⇮4753⇼⇔∾(⨑⩽⪐⊺⇮7872)))","cot":[{"info":"⊺⇮3308+⊺⇮7569=⊺⇮10877","layer":3},{"info":"⊺⇮1077⨟⋌⩍⊺⇮2608=NaN","layer":3},{"info":"⊺⇮10877⪨≂NaN=NaN","layer":2},{"info":"⊺⇮3250⨐⩸⫘⊺⇮4753=NaN","layer":3},{"info":"⨑⩽⪐⊺⇮7872=⊺⇮-7599","layer":3},{"info":"NaN⇼⇔∾⊺⇮-7599=NaN","layer":2},{"info":"NaN⇼⇔∾NaN=NaN","layer":1},{"info":"⨑⩽⪐NaN=NaN","layer":0}]}
{"id":297,"expression_no_base_symbol":"(($4560$⨁⊸⫻)⫡⨏(⫓⪴$4799$))⫥∨⫟(+⊝⨔(≦∁$6728$))⨐⩸⫘((⩦⩻⨪$2637$)⪢($1983$⨸⪁$6656$)↺(($4909$∧)⇼⇔∾$1565$≎⊠⪸$1290$))","expression":"((⊺⇮4560⨁⊸⫻)⫡⨏(⫓⪴⊺⇮4799))⫥∨⫟(+⊝⨔(≦∁⊺⇮6728))⨐⩸⫘((⩦⩻⨪⊺⇮2637)⪢(⊺⇮1983⨸⪁⊺⇮6656)↺((⊺⇮4909∧)⇼⇔∾⊺⇮1565≎⊠⪸⊺⇮1290))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":22567,"operation_count":14,"complexity_ratio":1611.9285714285713,"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":4560,"base":10}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":4799,"base":10}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":6728,"base":10}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2637,"base":10}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1983,"base":10},"right_expr":{"type":"numeric_atoms","value":6656,"base":10}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":4909,"base":10}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1565,"base":10},"right_expr":{"type":"numeric_atoms","value":1290,"base":10}}}}},"used_operators":["fu6greOZ01","KYD54nUTWz","QMFrweE19q","glklzrTFfD","eLxqMNBOBk","DhbWaqg5eL","9ICcGScMcE","7j4O788W3g","dWAJyo7jo9","2td37pGCOC","g55IO6H4Gj","tifHPKVTfV","z63VuFQld9","bJkvcejdHO"],"dependent_operators":["3ViojmjbAp","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4560","layer":4},{"info":"compute unary expreesion, input=4560, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=4560","layer":3},{"info":"number node, value=4799","layer":4},{"info":"compute unary expreesion, input=4799, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=23030401","layer":3},{"info":"compute binary expreesion, left_input=4560, right_input=23030401, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=46084385","layer":2},{"info":"number node, value=6728","layer":4},{"info":"compute unary expreesion, input=6728, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=6728","layer":3},{"info":"compute unary expreesion, input=6728, 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=46084385, right_input=1522, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=2637","layer":4},{"info":"compute unary expreesion, input=2637, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2637","layer":3},{"info":"number node, value=1983","layer":4},{"info":"number node, value=6656","layer":4},{"info":"compute binary expreesion, left_input=1983, right_input=6656, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=17278","layer":3},{"info":"compute binary expreesion, left_input=2637, right_input=17278, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=4909","layer":4},{"info":"compute unary expreesion, input=4909, 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=1565","layer":4},{"info":"number node, value=1290","layer":4},{"info":"compute binary expreesion, left_input=1565, right_input=1290, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=404862","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=404862, 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 = 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":10,"result_base":10,"text":"((⊺⇮4560⨁⊸⫻)⫡⨏(⫓⪴⊺⇮4799))⫥∨⫟(+⊝⨔(≦∁⊺⇮6728))⨐⩸⫘((⩦⩻⨪⊺⇮2637)⪢(⊺⇮1983⨸⪁⊺⇮6656)↺((⊺⇮4909∧)⇼⇔∾⊺⇮1565≎⊠⪸⊺⇮1290))=NaN","reverse_text":"NaN=((⊺⇮4560⨁⊸⫻)⫡⨏(⫓⪴⊺⇮4799))⫥∨⫟(+⊝⨔(≦∁⊺⇮6728))⨐⩸⫘((⩦⩻⨪⊺⇮2637)⪢(⊺⇮1983⨸⪁⊺⇮6656)↺((⊺⇮4909∧)⇼⇔∾⊺⇮1565≎⊠⪸⊺⇮1290))","cot":[{"info":"⊺⇮4560⨁⊸⫻=⊺⇮4560","layer":3},{"info":"⫓⪴⊺⇮4799=⊺⇮23030401","layer":3},{"info":"⊺⇮4560⫡⨏⊺⇮23030401=⊺⇮46084385","layer":2},{"info":"≦∁⊺⇮6728=⊺⇮6728","layer":3},{"info":"+⊝⨔⊺⇮6728=⊺⇮1522","layer":2},{"info":"⊺⇮46084385⫥∨⫟⊺⇮1522=NaN","layer":1},{"info":"⩦⩻⨪⊺⇮2637=⊺⇮2637","layer":3},{"info":"⊺⇮1983⨸⪁⊺⇮6656=⊺⇮17278","layer":3},{"info":"⊺⇮2637⪢⊺⇮17278=NaN","layer":2},{"info":"⊺⇮4909∧=NaN","layer":3},{"info":"⊺⇮1565≎⊠⪸⊺⇮1290=⊺⇮404862","layer":3},{"info":"NaN⇼⇔∾⊺⇮404862=NaN","layer":2},{"info":"NaN↺NaN=NaN","layer":1},{"info":"NaN⨐⩸⫘NaN=NaN","layer":0}]}
{"id":298,"expression_no_base_symbol":"(($2235$⨎$3275$-(⊥$4219$))↛⩡⫤)⨐⩸⫘(($1574$⊦⊿)⨸⪁($2738$⊭∹↮))⋥≓≎(↔($4894$∑⇟⊟$4574$))","expression":"((⊺⇮2235⨎⊺⇮3275-(⊥⊺⇮4219))↛⩡⫤)⨐⩸⫘((⊺⇮1574⊦⊿)⨸⪁(⊺⇮2738⊭∹↮))⋥≓≎(↔(⊺⇮4894∑⇟⊟⊺⇮4574))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":109,"operation_count":11,"complexity_ratio":9.909090909090908,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2235,"base":10},"right_expr":{"type":"numeric_atoms","value":3275,"base":10}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":4219,"base":10}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1574,"base":10}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":2738,"base":10}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":4894,"base":10},"right_expr":{"type":"numeric_atoms","value":4574,"base":10}}}}},"used_operators":["fu6greOZ01","FU0Cs4j7VP","rysDP5nf3Z","rJVOvQCfKK","Q3PJZHRvZv","Qy55tPpLXF","g55IO6H4Gj","14qkJME0vr","xNBdhnnwKq","ruOEQAzv1W","U7g4x0WXJJ"],"dependent_operators":["3ViojmjbAp","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","fu6greOZ01","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2235","layer":4},{"info":"number node, value=3275","layer":4},{"info":"compute binary expreesion, left_input=2235, right_input=3275, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3275","layer":3},{"info":"number node, value=4219","layer":4},{"info":"compute unary expreesion, input=4219, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3275, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', 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=1574","layer":4},{"info":"compute unary expreesion, input=1574, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-4801","layer":3},{"info":"number node, value=2738","layer":4},{"info":"compute unary expreesion, input=2738, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=5476","layer":3},{"info":"compute binary expreesion, left_input=-4801, right_input=5476, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=1350","layer":2},{"info":"number node, value=4894","layer":4},{"info":"number node, value=4574","layer":4},{"info":"compute binary expreesion, left_input=4894, right_input=4574, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=1350, right_input=-134, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1585","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1585, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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":10,"result_base":10,"text":"((⊺⇮2235⨎⊺⇮3275-(⊥⊺⇮4219))↛⩡⫤)⨐⩸⫘((⊺⇮1574⊦⊿)⨸⪁(⊺⇮2738⊭∹↮))⋥≓≎(↔(⊺⇮4894∑⇟⊟⊺⇮4574))=NaN","reverse_text":"NaN=((⊺⇮2235⨎⊺⇮3275-(⊥⊺⇮4219))↛⩡⫤)⨐⩸⫘((⊺⇮1574⊦⊿)⨸⪁(⊺⇮2738⊭∹↮))⋥≓≎(↔(⊺⇮4894∑⇟⊟⊺⇮4574))","cot":[{"info":"⊺⇮2235⨎⊺⇮3275=⊺⇮3275","layer":3},{"info":"⊥⊺⇮4219=NaN","layer":3},{"info":"⊺⇮3275-NaN=NaN","layer":2},{"info":"NaN↛⩡⫤=NaN","layer":1},{"info":"⊺⇮1574⊦⊿=⊺⇮-4801","layer":3},{"info":"⊺⇮2738⊭∹↮=⊺⇮5476","layer":3},{"info":"⊺⇮-4801⨸⪁⊺⇮5476=⊺⇮1350","layer":2},{"info":"⊺⇮4894∑⇟⊟⊺⇮4574=NaN","layer":3},{"info":"↔NaN=⊺⇮-134","layer":2},{"info":"⊺⇮1350⋥≓≎⊺⇮-134=⊺⇮-1585","layer":1},{"info":"NaN⨐⩸⫘⊺⇮-1585=NaN","layer":0}]}
{"id":299,"expression_no_base_symbol":"($5754$/$1861$)⪛(∥⊫$3564$)≭($4443$⩚⊴⇥$6787$)≹⇙⪍($6754$⨎$3395$)↺((≉$5430$⨪↰⇹$7749$)↺(⊄⩳↩($1012$%$2739$)))","expression":"(⊺⇮5754/⊺⇮1861)⪛(∥⊫⊺⇮3564)≭(⊺⇮4443⩚⊴⇥⊺⇮6787)≹⇙⪍(⊺⇮6754⨎⊺⇮3395)↺((≉⊺⇮5430⨪↰⇹⊺⇮7749)↺(⊄⩳↩(⊺⇮1012%⊺⇮2739)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5457,"operation_count":13,"complexity_ratio":419.7692307692308,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":5754,"base":10},"right_expr":{"type":"numeric_atoms","value":1861,"base":10}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":3564,"base":10}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4443,"base":10},"right_expr":{"type":"numeric_atoms","value":6787,"base":10}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":6754,"base":10},"right_expr":{"type":"numeric_atoms","value":3395,"base":10}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":5430,"base":10},"right_expr":{"type":"numeric_atoms","value":7749,"base":10}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1012,"base":10},"right_expr":{"type":"numeric_atoms","value":2739,"base":10}}}}},"used_operators":["7j4O788W3g","rxpJgHHUmx","uFcxV4UQCh","XhwjNDsVaA","P8v4zCKN1o","AHs5Up7iyr","NTOWxs364D","rJVOvQCfKK","e1ybzncUwg","tmPS8pqC7x","8w2t5hMYqp","k8jYdgA6NY"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⊺⇮-3036","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5754","layer":4},{"info":"number node, value=1861","layer":4},{"info":"compute binary expreesion, left_input=5754, right_input=1861, op_id = XhwjNDsVaA binary_op_definition= 'None', output=3","layer":3},{"info":"number node, value=3564","layer":4},{"info":"compute unary expreesion, input=3564, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4432","layer":3},{"info":"compute binary expreesion, left_input=3, right_input=4432, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3","layer":2},{"info":"number node, value=4443","layer":4},{"info":"number node, value=6787","layer":4},{"info":"compute binary expreesion, left_input=4443, right_input=6787, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-11351","layer":3},{"info":"number node, value=6754","layer":4},{"info":"number node, value=3395","layer":4},{"info":"compute binary expreesion, left_input=6754, right_input=3395, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3395","layer":3},{"info":"compute binary expreesion, left_input=-11351, right_input=3395, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=3, 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=5430","layer":4},{"info":"number node, value=7749","layer":4},{"info":"compute binary expreesion, left_input=5430, right_input=7749, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=5430","layer":3},{"info":"compute unary expreesion, input=5430, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=5961","layer":2},{"info":"number node, value=1012","layer":4},{"info":"number node, value=2739","layer":4},{"info":"compute binary expreesion, left_input=1012, right_input=2739, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1012","layer":3},{"info":"compute unary expreesion, input=1012, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3036","layer":2},{"info":"compute binary expreesion, left_input=5961, right_input=-3036, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-3036","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-3036, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-3036","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮5754/⊺⇮1861)⪛(∥⊫⊺⇮3564)≭(⊺⇮4443⩚⊴⇥⊺⇮6787)≹⇙⪍(⊺⇮6754⨎⊺⇮3395)↺((≉⊺⇮5430⨪↰⇹⊺⇮7749)↺(⊄⩳↩(⊺⇮1012%⊺⇮2739)))=⊺⇮-3036","reverse_text":"⊺⇮-3036=(⊺⇮5754/⊺⇮1861)⪛(∥⊫⊺⇮3564)≭(⊺⇮4443⩚⊴⇥⊺⇮6787)≹⇙⪍(⊺⇮6754⨎⊺⇮3395)↺((≉⊺⇮5430⨪↰⇹⊺⇮7749)↺(⊄⩳↩(⊺⇮1012%⊺⇮2739)))","cot":[{"info":"⊺⇮5754/⊺⇮1861=⊺⇮3","layer":3},{"info":"∥⊫⊺⇮3564=⊺⇮4432","layer":3},{"info":"⊺⇮3⪛⊺⇮4432=⊺⇮3","layer":2},{"info":"⊺⇮4443⩚⊴⇥⊺⇮6787=⊺⇮-11351","layer":3},{"info":"⊺⇮6754⨎⊺⇮3395=⊺⇮3395","layer":3},{"info":"⊺⇮-11351≹⇙⪍⊺⇮3395=NaN","layer":2},{"info":"⊺⇮3≭NaN=NaN","layer":1},{"info":"⊺⇮5430⨪↰⇹⊺⇮7749=⊺⇮5430","layer":3},{"info":"≉⊺⇮5430=⊺⇮5961","layer":2},{"info":"⊺⇮1012%⊺⇮2739=⊺⇮1012","layer":3},{"info":"⊄⩳↩⊺⇮1012=⊺⇮-3036","layer":2},{"info":"⊺⇮5961↺⊺⇮-3036=⊺⇮-3036","layer":1},{"info":"NaN↺⊺⇮-3036=⊺⇮-3036","layer":0}]}
{"id":300,"expression_no_base_symbol":"((⊥($1083$⫌⩹⨱))↙(≤/$1058$)+⇶⊼$2245$⪛$3345$)⪮%⊝(($1315$≧⫂∧$1203$)∑⇟⊟($5086$≧⫂∧$1150$)⋳⪒($5762$≭$3462$)∑⇟⊟($2283$↙$4417$))","expression":"((⊥(⊺⇮1083⫌⩹⨱))↙(≤/⊺⇮1058)+⇶⊼⊺⇮2245⪛⊺⇮3345)⪮%⊝((⊺⇮1315≧⫂∧⊺⇮1203)∑⇟⊟(⊺⇮5086≧⫂∧⊺⇮1150)⋳⪒(⊺⇮5762≭⊺⇮3462)∑⇟⊟(⊺⇮2283↙⊺⇮4417))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":463378,"operation_count":14,"complexity_ratio":33098.42857142857,"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":1083,"base":10}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1058,"base":10}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2245,"base":10},"right_expr":{"type":"numeric_atoms","value":3345,"base":10}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1315,"base":10},"right_expr":{"type":"numeric_atoms","value":1203,"base":10}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":5086,"base":10},"right_expr":{"type":"numeric_atoms","value":1150,"base":10}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":5762,"base":10},"right_expr":{"type":"numeric_atoms","value":3462,"base":10}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2283,"base":10},"right_expr":{"type":"numeric_atoms","value":4417,"base":10}}}}},"used_operators":["IWmyXbctLI","yyfyN0ffXY","Q3PJZHRvZv","EBcxylXtPf","TpPTUOHfaN","eLAdDNolq6","uFcxV4UQCh","12rbrZMWeM","U7g4x0WXJJ","Ph9nP6C5qx","rxpJgHHUmx"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","tmPS8pqC7x","DpFCA1CohY","fu6greOZ01","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1083","layer":4},{"info":"compute unary expreesion, input=1083, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=3567","layer":3},{"info":"compute unary expreesion, input=3567, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"number node, value=1058","layer":4},{"info":"compute unary expreesion, input=1058, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-574","layer":3},{"info":"number node, value=2245","layer":4},{"info":"number node, value=3345","layer":4},{"info":"compute binary expreesion, left_input=2245, right_input=3345, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2245","layer":3},{"info":"compute binary expreesion, left_input=-574, right_input=2245, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":1},{"info":"number node, value=1315","layer":4},{"info":"number node, value=1203","layer":4},{"info":"compute binary expreesion, left_input=1315, right_input=1203, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=730","layer":3},{"info":"number node, value=5086","layer":4},{"info":"number node, value=1150","layer":4},{"info":"compute binary expreesion, left_input=5086, right_input=1150, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=677","layer":3},{"info":"compute binary expreesion, left_input=730, right_input=677, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=5762","layer":4},{"info":"number node, value=3462","layer":4},{"info":"compute binary expreesion, left_input=5762, right_input=3462, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=2283","layer":4},{"info":"number node, value=4417","layer":4},{"info":"compute binary expreesion, left_input=2283, right_input=4417, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-13251","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-13251, 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 = 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 = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊥(⊺⇮1083⫌⩹⨱))↙(≤/⊺⇮1058)+⇶⊼⊺⇮2245⪛⊺⇮3345)⪮%⊝((⊺⇮1315≧⫂∧⊺⇮1203)∑⇟⊟(⊺⇮5086≧⫂∧⊺⇮1150)⋳⪒(⊺⇮5762≭⊺⇮3462)∑⇟⊟(⊺⇮2283↙⊺⇮4417))=NaN","reverse_text":"NaN=((⊥(⊺⇮1083⫌⩹⨱))↙(≤/⊺⇮1058)+⇶⊼⊺⇮2245⪛⊺⇮3345)⪮%⊝((⊺⇮1315≧⫂∧⊺⇮1203)∑⇟⊟(⊺⇮5086≧⫂∧⊺⇮1150)⋳⪒(⊺⇮5762≭⊺⇮3462)∑⇟⊟(⊺⇮2283↙⊺⇮4417))","cot":[{"info":"⊺⇮1083⫌⩹⨱=⊺⇮3567","layer":3},{"info":"⊥⊺⇮3567=NaN","layer":2},{"info":"≤/⊺⇮1058=⊺⇮-574","layer":3},{"info":"⊺⇮2245⪛⊺⇮3345=⊺⇮2245","layer":3},{"info":"⊺⇮-574+⇶⊼⊺⇮2245=NaN","layer":2},{"info":"NaN↙NaN=NaN","layer":1},{"info":"⊺⇮1315≧⫂∧⊺⇮1203=⊺⇮730","layer":3},{"info":"⊺⇮5086≧⫂∧⊺⇮1150=⊺⇮677","layer":3},{"info":"⊺⇮730∑⇟⊟⊺⇮677=NaN","layer":2},{"info":"⊺⇮5762≭⊺⇮3462=NaN","layer":3},{"info":"⊺⇮2283↙⊺⇮4417=⊺⇮-13251","layer":3},{"info":"NaN∑⇟⊟⊺⇮-13251=NaN","layer":2},{"info":"NaN⋳⪒NaN=NaN","layer":1},{"info":"NaN⪮%⊝NaN=NaN","layer":0}]}
{"id":301,"expression_no_base_symbol":"((($2135$⫡⨏$1915$)≋⫹)⇋≉)⫸⊐$3518$⇷$3101$⋝⋈⪟($8883$≧⫂∧$3061$)+⇶⊼((≤/$5156$)≎⊠⪸$1725$⪛$3468$)","expression":"(((⊺⇮2135⫡⨏⊺⇮1915)≋⫹)⇋≉)⫸⊐⊺⇮3518⇷⊺⇮3101⋝⋈⪟(⊺⇮8883≧⫂∧⊺⇮3061)+⇶⊼((≤/⊺⇮5156)≎⊠⪸⊺⇮1725⪛⊺⇮3468)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":49556,"operation_count":11,"complexity_ratio":4505.090909090909,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2135,"base":10},"right_expr":{"type":"numeric_atoms","value":1915,"base":10}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3518,"base":10},"right_expr":{"type":"numeric_atoms","value":3101,"base":10}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":8883,"base":10},"right_expr":{"type":"numeric_atoms","value":3061,"base":10}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":5156,"base":10}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1725,"base":10},"right_expr":{"type":"numeric_atoms","value":3468,"base":10}}}}},"used_operators":["mqXw5SEYmG","XIabStNQrY","N41Kp7NANJ","QMFrweE19q","TpPTUOHfaN","2DDjHMKMc0","mp7IySMOzn","Ph9nP6C5qx","bJkvcejdHO","eLAdDNolq6","uFcxV4UQCh"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⊺⇮968","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2135","layer":4},{"info":"number node, value=1915","layer":4},{"info":"compute binary expreesion, left_input=2135, right_input=1915, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=15288","layer":3},{"info":"compute unary expreesion, input=15288, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-30576","layer":2},{"info":"compute unary expreesion, input=-30576, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-61250","layer":1},{"info":"number node, value=3518","layer":4},{"info":"number node, value=3101","layer":4},{"info":"compute binary expreesion, left_input=3518, right_input=3101, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6202","layer":3},{"info":"number node, value=8883","layer":4},{"info":"number node, value=3061","layer":4},{"info":"compute binary expreesion, left_input=8883, right_input=3061, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2588","layer":3},{"info":"compute binary expreesion, left_input=6202, right_input=2588, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6202","layer":2},{"info":"number node, value=5156","layer":4},{"info":"compute unary expreesion, input=5156, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-4672","layer":3},{"info":"number node, value=1725","layer":4},{"info":"number node, value=3468","layer":4},{"info":"compute binary expreesion, left_input=1725, right_input=3468, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1725","layer":3},{"info":"compute binary expreesion, left_input=-4672, right_input=1725, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1210048","layer":2},{"info":"compute binary expreesion, left_input=6202, right_input=1210048, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=-61250, 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":10,"result_base":10,"text":"(((⊺⇮2135⫡⨏⊺⇮1915)≋⫹)⇋≉)⫸⊐⊺⇮3518⇷⊺⇮3101⋝⋈⪟(⊺⇮8883≧⫂∧⊺⇮3061)+⇶⊼((≤/⊺⇮5156)≎⊠⪸⊺⇮1725⪛⊺⇮3468)=⊺⇮968","reverse_text":"⊺⇮968=(((⊺⇮2135⫡⨏⊺⇮1915)≋⫹)⇋≉)⫸⊐⊺⇮3518⇷⊺⇮3101⋝⋈⪟(⊺⇮8883≧⫂∧⊺⇮3061)+⇶⊼((≤/⊺⇮5156)≎⊠⪸⊺⇮1725⪛⊺⇮3468)","cot":[{"info":"⊺⇮2135⫡⨏⊺⇮1915=⊺⇮15288","layer":3},{"info":"⊺⇮15288≋⫹=⊺⇮-30576","layer":2},{"info":"⊺⇮-30576⇋≉=⊺⇮-61250","layer":1},{"info":"⊺⇮3518⇷⊺⇮3101=⊺⇮6202","layer":3},{"info":"⊺⇮8883≧⫂∧⊺⇮3061=⊺⇮2588","layer":3},{"info":"⊺⇮6202⋝⋈⪟⊺⇮2588=⊺⇮6202","layer":2},{"info":"≤/⊺⇮5156=⊺⇮-4672","layer":3},{"info":"⊺⇮1725⪛⊺⇮3468=⊺⇮1725","layer":3},{"info":"⊺⇮-4672≎⊠⪸⊺⇮1725=⊺⇮1210048","layer":2},{"info":"⊺⇮6202+⇶⊼⊺⇮1210048=NaN","layer":1},{"info":"⊺⇮-61250⫸⊐NaN=⊺⇮968","layer":0}]}
{"id":302,"expression_no_base_symbol":"(⪝⪂⫅(($4206$⊠≄⫣)⪒$1484$≭$4618$))⨳⩥⨓(+⊝⨔($2452$⪛$3554$⋷$4036$⨓$2667$))","expression":"(⪝⪂⫅((⊺⇮4206⊠≄⫣)⪒⊺⇮1484≭⊺⇮4618))⨳⩥⨓(+⊝⨔(⊺⇮2452⪛⊺⇮3554⋷⊺⇮4036⨓⊺⇮2667))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2714,"operation_count":9,"complexity_ratio":301.55555555555554,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":4206,"base":10}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1484,"base":10},"right_expr":{"type":"numeric_atoms","value":4618,"base":10}}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2452,"base":10},"right_expr":{"type":"numeric_atoms","value":3554,"base":10}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":4036,"base":10},"right_expr":{"type":"numeric_atoms","value":2667,"base":10}}}}},"used_operators":["nCS4ZIUYfx","XTarYq4gQB","f6k1SAg4EE","DIvbN7qnHd","rxpJgHHUmx","DhbWaqg5eL","23Mk6UjR3U","uFcxV4UQCh","3ViojmjbAp"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4206","layer":4},{"info":"compute unary expreesion, input=4206, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=1484","layer":4},{"info":"number node, value=4618","layer":4},{"info":"compute binary expreesion, left_input=1484, right_input=4618, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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 = f6k1SAg4EE 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":"number node, value=2452","layer":4},{"info":"number node, value=3554","layer":4},{"info":"compute binary expreesion, left_input=2452, right_input=3554, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2452","layer":3},{"info":"number node, value=4036","layer":4},{"info":"number node, value=2667","layer":4},{"info":"compute binary expreesion, left_input=4036, right_input=2667, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2670","layer":3},{"info":"compute binary expreesion, left_input=2452, right_input=-2670, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-7792","layer":2},{"info":"compute unary expreesion, input=-7792, 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 = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⪝⪂⫅((⊺⇮4206⊠≄⫣)⪒⊺⇮1484≭⊺⇮4618))⨳⩥⨓(+⊝⨔(⊺⇮2452⪛⊺⇮3554⋷⊺⇮4036⨓⊺⇮2667))=NaN","reverse_text":"NaN=(⪝⪂⫅((⊺⇮4206⊠≄⫣)⪒⊺⇮1484≭⊺⇮4618))⨳⩥⨓(+⊝⨔(⊺⇮2452⪛⊺⇮3554⋷⊺⇮4036⨓⊺⇮2667))","cot":[{"info":"⊺⇮4206⊠≄⫣=⊺⇮0","layer":3},{"info":"⊺⇮1484≭⊺⇮4618=NaN","layer":3},{"info":"⊺⇮0⪒NaN=NaN","layer":2},{"info":"⪝⪂⫅NaN=NaN","layer":1},{"info":"⊺⇮2452⪛⊺⇮3554=⊺⇮2452","layer":3},{"info":"⊺⇮4036⨓⊺⇮2667=⊺⇮-2670","layer":3},{"info":"⊺⇮2452⋷⊺⇮-2670=⊺⇮-7792","layer":2},{"info":"+⊝⨔⊺⇮-7792=⊺⇮1522","layer":1},{"info":"NaN⨳⩥⨓⊺⇮1522=NaN","layer":0}]}
{"id":303,"expression_no_base_symbol":"((($4492$⨵⪆$4022$)↙$6939$⇷$1092$)⪮%⊝(($4614$↺$7351$)≫≃))⪢(↽≂(∂$1399$))⊴(($1111$⪐)⨪↰⇹($3175$⨓$1579$))","expression":"(((⊺⇮4492⨵⪆⊺⇮4022)↙⊺⇮6939⇷⊺⇮1092)⪮%⊝((⊺⇮4614↺⊺⇮7351)≫≃))⪢(↽≂(∂⊺⇮1399))⊴((⊺⇮1111⪐)⨪↰⇹(⊺⇮3175⨓⊺⇮1579))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":105400,"operation_count":13,"complexity_ratio":8107.692307692308,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":4492,"base":10},"right_expr":{"type":"numeric_atoms","value":4022,"base":10}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":6939,"base":10},"right_expr":{"type":"numeric_atoms","value":1092,"base":10}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":4614,"base":10},"right_expr":{"type":"numeric_atoms","value":7351,"base":10}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1399,"base":10}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1111,"base":10}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3175,"base":10},"right_expr":{"type":"numeric_atoms","value":1579,"base":10}}}}},"used_operators":["dWAJyo7jo9","IWmyXbctLI","yyfyN0ffXY","2DQ55sFlQl","mp7IySMOzn","X99M06cbEe","7j4O788W3g","Nsiff2A1zJ","u6S6b8DprG","Uaa54Peajs","tmPS8pqC7x","eH2TOUuTDT","3ViojmjbAp"],"dependent_operators":["k8jYdgA6NY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4492","layer":4},{"info":"number node, value=4022","layer":4},{"info":"compute binary expreesion, left_input=4492, right_input=4022, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=6939","layer":4},{"info":"number node, value=1092","layer":4},{"info":"compute binary expreesion, left_input=6939, right_input=1092, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2184","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=2184, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-6552","layer":2},{"info":"number node, value=4614","layer":4},{"info":"number node, value=7351","layer":4},{"info":"compute binary expreesion, left_input=4614, right_input=7351, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=7351","layer":3},{"info":"compute unary expreesion, input=7351, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=16103","layer":2},{"info":"compute binary expreesion, left_input=-6552, right_input=16103, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-12788","layer":1},{"info":"number node, value=1399","layer":4},{"info":"compute unary expreesion, input=1399, 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 = 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=1111","layer":4},{"info":"compute unary expreesion, input=1111, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2222","layer":3},{"info":"number node, value=3175","layer":4},{"info":"number node, value=1579","layer":4},{"info":"compute binary expreesion, left_input=3175, right_input=1579, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1582","layer":3},{"info":"compute binary expreesion, left_input=2222, right_input=-1582, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2222","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2222, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-12788, 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":10,"result_base":10,"text":"(((⊺⇮4492⨵⪆⊺⇮4022)↙⊺⇮6939⇷⊺⇮1092)⪮%⊝((⊺⇮4614↺⊺⇮7351)≫≃))⪢(↽≂(∂⊺⇮1399))⊴((⊺⇮1111⪐)⨪↰⇹(⊺⇮3175⨓⊺⇮1579))=NaN","reverse_text":"NaN=(((⊺⇮4492⨵⪆⊺⇮4022)↙⊺⇮6939⇷⊺⇮1092)⪮%⊝((⊺⇮4614↺⊺⇮7351)≫≃))⪢(↽≂(∂⊺⇮1399))⊴((⊺⇮1111⪐)⨪↰⇹(⊺⇮3175⨓⊺⇮1579))","cot":[{"info":"⊺⇮4492⨵⪆⊺⇮4022=⊺⇮160","layer":3},{"info":"⊺⇮6939⇷⊺⇮1092=⊺⇮2184","layer":3},{"info":"⊺⇮160↙⊺⇮2184=⊺⇮-6552","layer":2},{"info":"⊺⇮4614↺⊺⇮7351=⊺⇮7351","layer":3},{"info":"⊺⇮7351≫≃=⊺⇮16103","layer":2},{"info":"⊺⇮-6552⪮%⊝⊺⇮16103=⊺⇮-12788","layer":1},{"info":"∂⊺⇮1399=NaN","layer":3},{"info":"↽≂NaN=NaN","layer":2},{"info":"⊺⇮1111⪐=⊺⇮2222","layer":3},{"info":"⊺⇮3175⨓⊺⇮1579=⊺⇮-1582","layer":3},{"info":"⊺⇮2222⨪↰⇹⊺⇮-1582=⊺⇮2222","layer":2},{"info":"NaN⊴⊺⇮2222=NaN","layer":1},{"info":"⊺⇮-12788⪢NaN=NaN","layer":0}]}
{"id":304,"expression_no_base_symbol":"(≤/$1420$⪛$2281$)⨰(($2665$⪠⩆⊳)⊪)⫥∨⫟(($3057$∲⫓$7866$)⋥≓≎($4649$⩠))⨟⋌⩍(≤/$2056$)≹⇙⪍($4760$⩷∴$4796$)","expression":"(≤/⊺⇮1420⪛⊺⇮2281)⨰((⊺⇮2665⪠⩆⊳)⊪)⫥∨⫟((⊺⇮3057∲⫓⊺⇮7866)⋥≓≎(⊺⇮4649⩠))⨟⋌⩍(≤/⊺⇮2056)≹⇙⪍(⊺⇮4760⩷∴⊺⇮4796)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":11176,"operation_count":13,"complexity_ratio":859.6923076923077,"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":1420,"base":10},"right_expr":{"type":"numeric_atoms","value":2281,"base":10}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":2665,"base":10}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3057,"base":10},"right_expr":{"type":"numeric_atoms","value":7866,"base":10}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":4649,"base":10}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2056,"base":10}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4760,"base":10},"right_expr":{"type":"numeric_atoms","value":4796,"base":10}}}}},"used_operators":["KYD54nUTWz","eewbuw0ToL","eLAdDNolq6","uFcxV4UQCh","zVYPLywUTj","JLbD19bQDL","rGHVDoGpnC","Qy55tPpLXF","i8ToyICDmI","sJAwomhLZr","AHs5Up7iyr","9FxExcQeMw"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","dWAJyo7jo9","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1420","layer":4},{"info":"number node, value=2281","layer":4},{"info":"compute binary expreesion, left_input=1420, right_input=2281, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1420","layer":3},{"info":"compute unary expreesion, input=1420, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-936","layer":2},{"info":"number node, value=2665","layer":4},{"info":"compute unary expreesion, input=2665, 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 = 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=-936, right_input=0, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-926","layer":1},{"info":"number node, value=3057","layer":4},{"info":"number node, value=7866","layer":4},{"info":"compute binary expreesion, left_input=3057, right_input=7866, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=4649","layer":4},{"info":"compute unary expreesion, input=4649, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', 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":"number node, value=2056","layer":4},{"info":"compute unary expreesion, input=2056, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1572","layer":3},{"info":"number node, value=4760","layer":4},{"info":"number node, value=4796","layer":4},{"info":"compute binary expreesion, left_input=4760, right_input=4796, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-104","layer":3},{"info":"compute binary expreesion, left_input=-1572, right_input=-104, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=33, 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=-926, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(≤/⊺⇮1420⪛⊺⇮2281)⨰((⊺⇮2665⪠⩆⊳)⊪)⫥∨⫟((⊺⇮3057∲⫓⊺⇮7866)⋥≓≎(⊺⇮4649⩠))⨟⋌⩍(≤/⊺⇮2056)≹⇙⪍(⊺⇮4760⩷∴⊺⇮4796)=NaN","reverse_text":"NaN=(≤/⊺⇮1420⪛⊺⇮2281)⨰((⊺⇮2665⪠⩆⊳)⊪)⫥∨⫟((⊺⇮3057∲⫓⊺⇮7866)⋥≓≎(⊺⇮4649⩠))⨟⋌⩍(≤/⊺⇮2056)≹⇙⪍(⊺⇮4760⩷∴⊺⇮4796)","cot":[{"info":"⊺⇮1420⪛⊺⇮2281=⊺⇮1420","layer":3},{"info":"≤/⊺⇮1420=⊺⇮-936","layer":2},{"info":"⊺⇮2665⪠⩆⊳=⊺⇮0","layer":3},{"info":"⊺⇮0⊪=⊺⇮0","layer":2},{"info":"⊺⇮-936⨰⊺⇮0=⊺⇮-926","layer":1},{"info":"⊺⇮3057∲⫓⊺⇮7866=⊺⇮0","layer":3},{"info":"⊺⇮4649⩠=⊺⇮0","layer":3},{"info":"⊺⇮0⋥≓≎⊺⇮0=⊺⇮33","layer":2},{"info":"≤/⊺⇮2056=⊺⇮-1572","layer":3},{"info":"⊺⇮4760⩷∴⊺⇮4796=⊺⇮-104","layer":3},{"info":"⊺⇮-1572≹⇙⪍⊺⇮-104=NaN","layer":2},{"info":"⊺⇮33⨟⋌⩍NaN=NaN","layer":1},{"info":"⊺⇮-926⫥∨⫟NaN=NaN","layer":0}]}
{"id":305,"expression_no_base_symbol":"(⋗⩬⋾$2939$⊴$2965$)⨓($1893$⊠≄⫣)⪮%⊝($3028$≧⫂∧$1743$)+⇶⊼((⪝⪂⫅$1043$)⨓($1076$/$1599$)↙(⊄⩳↩($1054$/$3126$)))","expression":"(⋗⩬⋾⊺⇮2939⊴⊺⇮2965)⨓(⊺⇮1893⊠≄⫣)⪮%⊝(⊺⇮3028≧⫂∧⊺⇮1743)+⇶⊼((⪝⪂⫅⊺⇮1043)⨓(⊺⇮1076/⊺⇮1599)↙(⊄⩳↩(⊺⇮1054/⊺⇮3126)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3473,"operation_count":13,"complexity_ratio":267.15384615384613,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2939,"base":10},"right_expr":{"type":"numeric_atoms","value":2965,"base":10}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1893,"base":10}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3028,"base":10},"right_expr":{"type":"numeric_atoms","value":1743,"base":10}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1043,"base":10}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1076,"base":10},"right_expr":{"type":"numeric_atoms","value":1599,"base":10}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1054,"base":10},"right_expr":{"type":"numeric_atoms","value":3126,"base":10}}}}},"used_operators":["TpPTUOHfaN","3ViojmjbAp","DpFCA1CohY","Nsiff2A1zJ","IWmyXbctLI","DIvbN7qnHd","Ph9nP6C5qx","yyfyN0ffXY","XTarYq4gQB","XhwjNDsVaA","8w2t5hMYqp"],"dependent_operators":["AHs5Up7iyr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2939","layer":4},{"info":"number node, value=2965","layer":4},{"info":"compute binary expreesion, left_input=2939, right_input=2965, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', 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=1893","layer":4},{"info":"compute unary expreesion, input=1893, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=3028","layer":4},{"info":"number node, value=1743","layer":4},{"info":"compute binary expreesion, left_input=3028, right_input=1743, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1270","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1270, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=316","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=316, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-319","layer":1},{"info":"number node, value=1043","layer":4},{"info":"compute unary expreesion, input=1043, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-153321","layer":3},{"info":"number node, value=1076","layer":4},{"info":"number node, value=1599","layer":4},{"info":"compute binary expreesion, left_input=1076, right_input=1599, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=-153321, right_input=0, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"number node, value=1054","layer":4},{"info":"number node, value=3126","layer":4},{"info":"compute binary expreesion, left_input=1054, right_input=3126, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-319, 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":10,"result_base":10,"text":"(⋗⩬⋾⊺⇮2939⊴⊺⇮2965)⨓(⊺⇮1893⊠≄⫣)⪮%⊝(⊺⇮3028≧⫂∧⊺⇮1743)+⇶⊼((⪝⪂⫅⊺⇮1043)⨓(⊺⇮1076/⊺⇮1599)↙(⊄⩳↩(⊺⇮1054/⊺⇮3126)))=NaN","reverse_text":"NaN=(⋗⩬⋾⊺⇮2939⊴⊺⇮2965)⨓(⊺⇮1893⊠≄⫣)⪮%⊝(⊺⇮3028≧⫂∧⊺⇮1743)+⇶⊼((⪝⪂⫅⊺⇮1043)⨓(⊺⇮1076/⊺⇮1599)↙(⊄⩳↩(⊺⇮1054/⊺⇮3126)))","cot":[{"info":"⊺⇮2939⊴⊺⇮2965=NaN","layer":3},{"info":"⋗⩬⋾NaN=NaN","layer":2},{"info":"⊺⇮1893⊠≄⫣=⊺⇮0","layer":3},{"info":"⊺⇮3028≧⫂∧⊺⇮1743=⊺⇮1270","layer":3},{"info":"⊺⇮0⪮%⊝⊺⇮1270=⊺⇮316","layer":2},{"info":"NaN⨓⊺⇮316=⊺⇮-319","layer":1},{"info":"⪝⪂⫅⊺⇮1043=⊺⇮-153321","layer":3},{"info":"⊺⇮1076/⊺⇮1599=⊺⇮0","layer":3},{"info":"⊺⇮-153321⨓⊺⇮0=NaN","layer":2},{"info":"⊺⇮1054/⊺⇮3126=⊺⇮0","layer":3},{"info":"⊄⩳↩⊺⇮0=⊺⇮0","layer":2},{"info":"NaN↙⊺⇮0=NaN","layer":1},{"info":"⊺⇮-319+⇶⊼NaN=NaN","layer":0}]}
{"id":306,"expression_no_base_symbol":"+⊝⨔(⪝⪂⫅($2834$↺$1034$)⨟⋌⩍($1483$⫥∨⫟$1278$))","expression":"+⊝⨔(⪝⪂⫅(⊺⇮2834↺⊺⇮1034)⨟⋌⩍(⊺⇮1483⫥∨⫟⊺⇮1278))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":181,"operation_count":5,"complexity_ratio":36.2,"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":2834,"base":10},"right_expr":{"type":"numeric_atoms","value":1034,"base":10}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1483,"base":10},"right_expr":{"type":"numeric_atoms","value":1278,"base":10}}}}},"used_operators":["DhbWaqg5eL","XTarYq4gQB","rGHVDoGpnC","7j4O788W3g","KYD54nUTWz"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","9HNa5Wba9A","8w2t5hMYqp","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC"],"result":"⊺⇮1522","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=2834","layer":4},{"info":"number node, value=1034","layer":4},{"info":"compute binary expreesion, left_input=2834, right_input=1034, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1034","layer":3},{"info":"number node, value=1483","layer":4},{"info":"number node, value=1278","layer":4},{"info":"compute binary expreesion, left_input=1483, right_input=1278, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1034, 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 = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*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":10,"result_base":10,"text":"+⊝⨔(⪝⪂⫅(⊺⇮2834↺⊺⇮1034)⨟⋌⩍(⊺⇮1483⫥∨⫟⊺⇮1278))=⊺⇮1522","reverse_text":"⊺⇮1522=+⊝⨔(⪝⪂⫅(⊺⇮2834↺⊺⇮1034)⨟⋌⩍(⊺⇮1483⫥∨⫟⊺⇮1278))","cot":[{"info":"⊺⇮2834↺⊺⇮1034=⊺⇮1034","layer":3},{"info":"⊺⇮1483⫥∨⫟⊺⇮1278=NaN","layer":3},{"info":"⊺⇮1034⨟⋌⩍NaN=NaN","layer":2},{"info":"⪝⪂⫅NaN=NaN","layer":1},{"info":"+⊝⨔NaN=⊺⇮1522","layer":0}]}
{"id":307,"expression_no_base_symbol":"((↔$2284$)⋳⪒($7531$/$1114$)⨵⪆((∂$1253$)⫡⨏$6812$↬$3373$))⪛($6043$⪮%⊝$4188$+⇶⊼($5875$⨎$5318$)⫡⨏(≦∁($6559$⨵⪆$3428$)))","expression":"((↔⊺⇮2284)⋳⪒(⊺⇮7531/⊺⇮1114)⨵⪆((∂⊺⇮1253)⫡⨏⊺⇮6812↬⊺⇮3373))⪛(⊺⇮6043⪮%⊝⊺⇮4188+⇶⊼(⊺⇮5875⨎⊺⇮5318)⫡⨏(≦∁(⊺⇮6559⨵⪆⊺⇮3428)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":77,"operation_count":14,"complexity_ratio":5.5,"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":2284,"base":10}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":7531,"base":10},"right_expr":{"type":"numeric_atoms","value":1114,"base":10}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1253,"base":10}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":6812,"base":10},"right_expr":{"type":"numeric_atoms","value":3373,"base":10}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":6043,"base":10},"right_expr":{"type":"numeric_atoms","value":4188,"base":10}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5875,"base":10},"right_expr":{"type":"numeric_atoms","value":5318,"base":10}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":6559,"base":10},"right_expr":{"type":"numeric_atoms","value":3428,"base":10}}}}},"used_operators":["uFcxV4UQCh","2DQ55sFlQl","12rbrZMWeM","ruOEQAzv1W","XhwjNDsVaA","QMFrweE19q","Uaa54Peajs","B5M0gjZbta","TpPTUOHfaN","IWmyXbctLI","rJVOvQCfKK","9ICcGScMcE"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rGHVDoGpnC","AHs5Up7iyr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2284","layer":4},{"info":"compute unary expreesion, input=2284, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2011","layer":3},{"info":"number node, value=7531","layer":4},{"info":"number node, value=1114","layer":4},{"info":"compute binary expreesion, left_input=7531, right_input=1114, op_id = XhwjNDsVaA binary_op_definition= 'None', output=6","layer":3},{"info":"compute binary expreesion, left_input=-2011, right_input=6, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-4315","layer":2},{"info":"number node, value=1253","layer":4},{"info":"compute unary expreesion, input=1253, 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=6812","layer":4},{"info":"number node, value=3373","layer":4},{"info":"compute binary expreesion, left_input=6812, right_input=3373, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = 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=-4315, 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=6043","layer":4},{"info":"number node, value=4188","layer":4},{"info":"compute binary expreesion, left_input=6043, right_input=4188, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=12402","layer":3},{"info":"number node, value=5875","layer":4},{"info":"number node, value=5318","layer":4},{"info":"compute binary expreesion, left_input=5875, right_input=5318, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5318","layer":3},{"info":"compute binary expreesion, left_input=12402, right_input=5318, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=6559","layer":4},{"info":"number node, value=3428","layer":4},{"info":"compute binary expreesion, left_input=6559, right_input=3428, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-2240","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2240, op_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=160, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((↔⊺⇮2284)⋳⪒(⊺⇮7531/⊺⇮1114)⨵⪆((∂⊺⇮1253)⫡⨏⊺⇮6812↬⊺⇮3373))⪛(⊺⇮6043⪮%⊝⊺⇮4188+⇶⊼(⊺⇮5875⨎⊺⇮5318)⫡⨏(≦∁(⊺⇮6559⨵⪆⊺⇮3428)))=NaN","reverse_text":"NaN=((↔⊺⇮2284)⋳⪒(⊺⇮7531/⊺⇮1114)⨵⪆((∂⊺⇮1253)⫡⨏⊺⇮6812↬⊺⇮3373))⪛(⊺⇮6043⪮%⊝⊺⇮4188+⇶⊼(⊺⇮5875⨎⊺⇮5318)⫡⨏(≦∁(⊺⇮6559⨵⪆⊺⇮3428)))","cot":[{"info":"↔⊺⇮2284=⊺⇮-2011","layer":3},{"info":"⊺⇮7531/⊺⇮1114=⊺⇮6","layer":3},{"info":"⊺⇮-2011⋳⪒⊺⇮6=⊺⇮-4315","layer":2},{"info":"∂⊺⇮1253=NaN","layer":3},{"info":"⊺⇮6812↬⊺⇮3373=NaN","layer":3},{"info":"NaN⫡⨏NaN=NaN","layer":2},{"info":"⊺⇮-4315⨵⪆NaN=⊺⇮160","layer":1},{"info":"⊺⇮6043⪮%⊝⊺⇮4188=⊺⇮12402","layer":3},{"info":"⊺⇮5875⨎⊺⇮5318=⊺⇮5318","layer":3},{"info":"⊺⇮12402+⇶⊼⊺⇮5318=NaN","layer":2},{"info":"⊺⇮6559⨵⪆⊺⇮3428=⊺⇮160","layer":3},{"info":"≦∁⊺⇮160=⊺⇮-2240","layer":2},{"info":"NaN⫡⨏⊺⇮-2240=NaN","layer":1},{"info":"⊺⇮160⪛NaN=NaN","layer":0}]}
{"id":308,"expression_no_base_symbol":"(($1102$⇷$1006$⨵⪆$1907$⫥∨⫟$1248$)⩷∴($3961$⫸⊐$7479$+$1238$⫥∨⫟$1509$))≹⇙⪍((($1936$⋷$2233$)⨽$3240$⋥≓≎$1696$)⨟⋌⩍($4525$⨟⋌⩍$1779$⋫))","expression":"((⊺⇮1102⇷⊺⇮1006⨵⪆⊺⇮1907⫥∨⫟⊺⇮1248)⩷∴(⊺⇮3961⫸⊐⊺⇮7479+⊺⇮1238⫥∨⫟⊺⇮1509))≹⇙⪍(((⊺⇮1936⋷⊺⇮2233)⨽⊺⇮3240⋥≓≎⊺⇮1696)⨟⋌⩍(⊺⇮4525⨟⋌⩍⊺⇮1779⋫))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":18324,"operation_count":14,"complexity_ratio":1308.857142857143,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1102,"base":10},"right_expr":{"type":"numeric_atoms","value":1006,"base":10}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1907,"base":10},"right_expr":{"type":"numeric_atoms","value":1248,"base":10}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3961,"base":10},"right_expr":{"type":"numeric_atoms","value":7479,"base":10}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1238,"base":10},"right_expr":{"type":"numeric_atoms","value":1509,"base":10}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1936,"base":10},"right_expr":{"type":"numeric_atoms","value":2233,"base":10}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3240,"base":10},"right_expr":{"type":"numeric_atoms","value":1696,"base":10}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4525,"base":10},"right_expr":{"type":"numeric_atoms","value":1779,"base":10}}}}},"used_operators":["AHs5Up7iyr","9FxExcQeMw","2DQ55sFlQl","mp7IySMOzn","KYD54nUTWz","W4YGzv6Whe","mqXw5SEYmG","rGHVDoGpnC","8HhzD0ZcuI","23Mk6UjR3U","Qy55tPpLXF","JL8yIekQnl"],"dependent_operators":["dWAJyo7jo9","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","Tcnh7f0tEr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1102","layer":4},{"info":"number node, value=1006","layer":4},{"info":"compute binary expreesion, left_input=1102, right_input=1006, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2012","layer":3},{"info":"number node, value=1907","layer":4},{"info":"number node, value=1248","layer":4},{"info":"compute binary expreesion, left_input=1907, right_input=1248, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2012, 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=3961","layer":4},{"info":"number node, value=7479","layer":4},{"info":"compute binary expreesion, left_input=3961, right_input=7479, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=29791","layer":3},{"info":"number node, value=1238","layer":4},{"info":"number node, value=1509","layer":4},{"info":"compute binary expreesion, left_input=1238, right_input=1509, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=29791, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"number node, value=1936","layer":4},{"info":"number node, value=2233","layer":4},{"info":"compute binary expreesion, left_input=1936, right_input=2233, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2530","layer":3},{"info":"number node, value=3240","layer":4},{"info":"number node, value=1696","layer":4},{"info":"compute binary expreesion, left_input=3240, right_input=1696, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=185","layer":3},{"info":"compute binary expreesion, left_input=2530, right_input=185, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-19201941","layer":2},{"info":"number node, value=4525","layer":4},{"info":"number node, value=1779","layer":4},{"info":"compute binary expreesion, left_input=4525, right_input=1779, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-19201941, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":10,"result_base":10,"text":"((⊺⇮1102⇷⊺⇮1006⨵⪆⊺⇮1907⫥∨⫟⊺⇮1248)⩷∴(⊺⇮3961⫸⊐⊺⇮7479+⊺⇮1238⫥∨⫟⊺⇮1509))≹⇙⪍(((⊺⇮1936⋷⊺⇮2233)⨽⊺⇮3240⋥≓≎⊺⇮1696)⨟⋌⩍(⊺⇮4525⨟⋌⩍⊺⇮1779⋫))=NaN","reverse_text":"NaN=((⊺⇮1102⇷⊺⇮1006⨵⪆⊺⇮1907⫥∨⫟⊺⇮1248)⩷∴(⊺⇮3961⫸⊐⊺⇮7479+⊺⇮1238⫥∨⫟⊺⇮1509))≹⇙⪍(((⊺⇮1936⋷⊺⇮2233)⨽⊺⇮3240⋥≓≎⊺⇮1696)⨟⋌⩍(⊺⇮4525⨟⋌⩍⊺⇮1779⋫))","cot":[{"info":"⊺⇮1102⇷⊺⇮1006=⊺⇮2012","layer":3},{"info":"⊺⇮1907⫥∨⫟⊺⇮1248=NaN","layer":3},{"info":"⊺⇮2012⨵⪆NaN=⊺⇮160","layer":2},{"info":"⊺⇮3961⫸⊐⊺⇮7479=⊺⇮29791","layer":3},{"info":"⊺⇮1238⫥∨⫟⊺⇮1509=NaN","layer":3},{"info":"⊺⇮29791+NaN=NaN","layer":2},{"info":"⊺⇮160⩷∴NaN=NaN","layer":1},{"info":"⊺⇮1936⋷⊺⇮2233=⊺⇮2530","layer":3},{"info":"⊺⇮3240⋥≓≎⊺⇮1696=⊺⇮185","layer":3},{"info":"⊺⇮2530⨽⊺⇮185=⊺⇮-19201941","layer":2},{"info":"⊺⇮4525⨟⋌⩍⊺⇮1779=NaN","layer":3},{"info":"NaN⋫=NaN","layer":2},{"info":"⊺⇮-19201941⨟⋌⩍NaN=NaN","layer":1},{"info":"NaN≹⇙⪍NaN=NaN","layer":0}]}
{"id":309,"expression_no_base_symbol":"((($2596$⪐)∸)*((↔$4697$)≦≮≮))≭(⊄⩳↩(($1081$⨵⪆$1316$)-$4937$∲⫓$3978$))","expression":"(((⊺⇮2596⪐)∸)*((↔⊺⇮4697)≦≮≮))≭(⊄⩳↩((⊺⇮1081⨵⪆⊺⇮1316)-⊺⇮4937∲⫓⊺⇮3978))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":374,"operation_count":10,"complexity_ratio":37.4,"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":2596,"base":10}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":4697,"base":10}}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1081,"base":10},"right_expr":{"type":"numeric_atoms","value":1316,"base":10}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4937,"base":10},"right_expr":{"type":"numeric_atoms","value":3978,"base":10}}}}},"used_operators":["rxpJgHHUmx","9HNa5Wba9A","o20kRiQErp","eH2TOUuTDT","D4vGDi5EA2","ruOEQAzv1W","8w2t5hMYqp","rysDP5nf3Z","2DQ55sFlQl","i8ToyICDmI"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2596","layer":4},{"info":"compute unary expreesion, input=2596, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=5192","layer":3},{"info":"compute unary expreesion, input=5192, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"number node, value=4697","layer":4},{"info":"compute unary expreesion, input=4697, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-4424","layer":3},{"info":"compute unary expreesion, input=-4424, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=13272","layer":2},{"info":"compute binary expreesion, left_input=177, right_input=13272, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2349144","layer":1},{"info":"number node, value=1081","layer":4},{"info":"number node, value=1316","layer":4},{"info":"compute binary expreesion, left_input=1081, right_input=1316, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=4937","layer":4},{"info":"number node, value=3978","layer":4},{"info":"compute binary expreesion, left_input=4937, right_input=3978, 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 = rysDP5nf3Z binary_op_definition= 'None', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-480","layer":1},{"info":"compute binary expreesion, left_input=2349144, right_input=-480, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":10,"result_base":10,"text":"(((⊺⇮2596⪐)∸)*((↔⊺⇮4697)≦≮≮))≭(⊄⩳↩((⊺⇮1081⨵⪆⊺⇮1316)-⊺⇮4937∲⫓⊺⇮3978))=NaN","reverse_text":"NaN=(((⊺⇮2596⪐)∸)*((↔⊺⇮4697)≦≮≮))≭(⊄⩳↩((⊺⇮1081⨵⪆⊺⇮1316)-⊺⇮4937∲⫓⊺⇮3978))","cot":[{"info":"⊺⇮2596⪐=⊺⇮5192","layer":3},{"info":"⊺⇮5192∸=⊺⇮177","layer":2},{"info":"↔⊺⇮4697=⊺⇮-4424","layer":3},{"info":"⊺⇮-4424≦≮≮=⊺⇮13272","layer":2},{"info":"⊺⇮177*⊺⇮13272=⊺⇮2349144","layer":1},{"info":"⊺⇮1081⨵⪆⊺⇮1316=⊺⇮160","layer":3},{"info":"⊺⇮4937∲⫓⊺⇮3978=⊺⇮0","layer":3},{"info":"⊺⇮160-⊺⇮0=⊺⇮160","layer":2},{"info":"⊄⩳↩⊺⇮160=⊺⇮-480","layer":1},{"info":"⊺⇮2349144≭⊺⇮-480=NaN","layer":0}]}
{"id":310,"expression_no_base_symbol":"(($6788$⨵⪆$3943$)⨳⩥⨓($5467$-$1453$))⨎($2303$⪘⫢$3703$⪒$2461$%$3951$)⨳⩥⨓((≉$3873$⪢$3828$)%$1942$≭$4976$⫸⊐$4399$⇷$2100$)","expression":"((⊺⇮6788⨵⪆⊺⇮3943)⨳⩥⨓(⊺⇮5467-⊺⇮1453))⨎(⊺⇮2303⪘⫢⊺⇮3703⪒⊺⇮2461%⊺⇮3951)⨳⩥⨓((≉⊺⇮3873⪢⊺⇮3828)%⊺⇮1942≭⊺⇮4976⫸⊐⊺⇮4399⇷⊺⇮2100)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":66830,"operation_count":14,"complexity_ratio":4773.571428571428,"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":6788,"base":10},"right_expr":{"type":"numeric_atoms","value":3943,"base":10}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":5467,"base":10},"right_expr":{"type":"numeric_atoms","value":1453,"base":10}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2303,"base":10},"right_expr":{"type":"numeric_atoms","value":3703,"base":10}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2461,"base":10},"right_expr":{"type":"numeric_atoms","value":3951,"base":10}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3873,"base":10},"right_expr":{"type":"numeric_atoms","value":3828,"base":10}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1942,"base":10},"right_expr":{"type":"numeric_atoms","value":4976,"base":10}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4399,"base":10},"right_expr":{"type":"numeric_atoms","value":2100,"base":10}}}}},"used_operators":["nCS4ZIUYfx","rJVOvQCfKK","2DQ55sFlQl","rysDP5nf3Z","f6k1SAg4EE","oacrs7FA3X","k8jYdgA6NY","e1ybzncUwg","dWAJyo7jo9","mqXw5SEYmG","rxpJgHHUmx","mp7IySMOzn"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6788","layer":4},{"info":"number node, value=3943","layer":4},{"info":"compute binary expreesion, left_input=6788, right_input=3943, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=5467","layer":4},{"info":"number node, value=1453","layer":4},{"info":"compute binary expreesion, left_input=5467, right_input=1453, op_id = rysDP5nf3Z binary_op_definition= 'None', output=4014","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=4014, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=3854","layer":2},{"info":"number node, value=2303","layer":4},{"info":"number node, value=3703","layer":4},{"info":"compute binary expreesion, left_input=2303, right_input=3703, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4482","layer":3},{"info":"number node, value=2461","layer":4},{"info":"number node, value=3951","layer":4},{"info":"compute binary expreesion, left_input=2461, right_input=3951, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2461","layer":3},{"info":"compute binary expreesion, left_input=4482, right_input=2461, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6943","layer":2},{"info":"compute binary expreesion, left_input=3854, right_input=-6943, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-6943","layer":1},{"info":"number node, value=3873","layer":4},{"info":"number node, value=3828","layer":4},{"info":"compute binary expreesion, left_input=3873, right_input=3828, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1942","layer":4},{"info":"number node, value=4976","layer":4},{"info":"compute binary expreesion, left_input=1942, right_input=4976, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=4399","layer":4},{"info":"number node, value=2100","layer":4},{"info":"compute binary expreesion, left_input=4399, right_input=2100, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4200","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4200, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-6943, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮6788⨵⪆⊺⇮3943)⨳⩥⨓(⊺⇮5467-⊺⇮1453))⨎(⊺⇮2303⪘⫢⊺⇮3703⪒⊺⇮2461%⊺⇮3951)⨳⩥⨓((≉⊺⇮3873⪢⊺⇮3828)%⊺⇮1942≭⊺⇮4976⫸⊐⊺⇮4399⇷⊺⇮2100)=NaN","reverse_text":"NaN=((⊺⇮6788⨵⪆⊺⇮3943)⨳⩥⨓(⊺⇮5467-⊺⇮1453))⨎(⊺⇮2303⪘⫢⊺⇮3703⪒⊺⇮2461%⊺⇮3951)⨳⩥⨓((≉⊺⇮3873⪢⊺⇮3828)%⊺⇮1942≭⊺⇮4976⫸⊐⊺⇮4399⇷⊺⇮2100)","cot":[{"info":"⊺⇮6788⨵⪆⊺⇮3943=⊺⇮160","layer":3},{"info":"⊺⇮5467-⊺⇮1453=⊺⇮4014","layer":3},{"info":"⊺⇮160⨳⩥⨓⊺⇮4014=⊺⇮3854","layer":2},{"info":"⊺⇮2303⪘⫢⊺⇮3703=⊺⇮4482","layer":3},{"info":"⊺⇮2461%⊺⇮3951=⊺⇮2461","layer":3},{"info":"⊺⇮4482⪒⊺⇮2461=⊺⇮-6943","layer":2},{"info":"⊺⇮3854⨎⊺⇮-6943=⊺⇮-6943","layer":1},{"info":"⊺⇮3873⪢⊺⇮3828=NaN","layer":3},{"info":"≉NaN=NaN","layer":2},{"info":"⊺⇮1942≭⊺⇮4976=NaN","layer":3},{"info":"⊺⇮4399⇷⊺⇮2100=⊺⇮4200","layer":3},{"info":"NaN⫸⊐⊺⇮4200=NaN","layer":2},{"info":"NaN%NaN=NaN","layer":1},{"info":"⊺⇮-6943⨳⩥⨓NaN=NaN","layer":0}]}
{"id":311,"expression_no_base_symbol":"($1074$⊉≛↸$6361$)≹⇙⪍($2888$⨪↰⇹$5577$)⪘⫢((↥$2815$)⊭↱($5067$⨸⪁$1656$))⋷(≦∁(↯⪼$1111$))⨸⪁($1017$⋫)∀⇚≩(⨑⩽⪐$4893$)","expression":"(⊺⇮1074⊉≛↸⊺⇮6361)≹⇙⪍(⊺⇮2888⨪↰⇹⊺⇮5577)⪘⫢((↥⊺⇮2815)⊭↱(⊺⇮5067⨸⪁⊺⇮1656))⋷(≦∁(↯⪼⊺⇮1111))⨸⪁(⊺⇮1017⋫)∀⇚≩(⨑⩽⪐⊺⇮4893)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":11167,"operation_count":14,"complexity_ratio":797.6428571428571,"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":1074,"base":10},"right_expr":{"type":"numeric_atoms","value":6361,"base":10}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2888,"base":10},"right_expr":{"type":"numeric_atoms","value":5577,"base":10}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2815,"base":10}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":5067,"base":10},"right_expr":{"type":"numeric_atoms","value":1656,"base":10}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1111,"base":10}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1017,"base":10}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":4893,"base":10}}}}},"used_operators":["23Mk6UjR3U","oacrs7FA3X","AHs5Up7iyr","DZ8iAZOCBD","tmPS8pqC7x","COABgblf1C","A8NUZmVepG","g55IO6H4Gj","9ICcGScMcE","8jW3W4yZS5","LRNGc0VcxI","JL8yIekQnl","AF7qkfDlqP"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","X99M06cbEe","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1074","layer":4},{"info":"number node, value=6361","layer":4},{"info":"compute binary expreesion, left_input=1074, right_input=6361, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2148","layer":3},{"info":"number node, value=2888","layer":4},{"info":"number node, value=5577","layer":4},{"info":"compute binary expreesion, left_input=2888, right_input=5577, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2888","layer":3},{"info":"compute binary expreesion, left_input=2148, right_input=2888, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=2815","layer":4},{"info":"compute unary expreesion, input=2815, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=10","layer":3},{"info":"number node, value=5067","layer":4},{"info":"number node, value=1656","layer":4},{"info":"compute binary expreesion, left_input=5067, right_input=1656, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=13446","layer":3},{"info":"compute binary expreesion, left_input=10, right_input=13446, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=26877","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=26877, 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=1111","layer":4},{"info":"compute unary expreesion, input=1111, 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 = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-70","layer":2},{"info":"number node, value=1017","layer":4},{"info":"compute unary expreesion, input=1017, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1017","layer":3},{"info":"number node, value=4893","layer":4},{"info":"compute unary expreesion, input=4893, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-4620","layer":3},{"info":"compute binary expreesion, left_input=1017, right_input=-4620, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=-70, 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 = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1074⊉≛↸⊺⇮6361)≹⇙⪍(⊺⇮2888⨪↰⇹⊺⇮5577)⪘⫢((↥⊺⇮2815)⊭↱(⊺⇮5067⨸⪁⊺⇮1656))⋷(≦∁(↯⪼⊺⇮1111))⨸⪁(⊺⇮1017⋫)∀⇚≩(⨑⩽⪐⊺⇮4893)=NaN","reverse_text":"NaN=(⊺⇮1074⊉≛↸⊺⇮6361)≹⇙⪍(⊺⇮2888⨪↰⇹⊺⇮5577)⪘⫢((↥⊺⇮2815)⊭↱(⊺⇮5067⨸⪁⊺⇮1656))⋷(≦∁(↯⪼⊺⇮1111))⨸⪁(⊺⇮1017⋫)∀⇚≩(⨑⩽⪐⊺⇮4893)","cot":[{"info":"⊺⇮1074⊉≛↸⊺⇮6361=⊺⇮2148","layer":3},{"info":"⊺⇮2888⨪↰⇹⊺⇮5577=⊺⇮2888","layer":3},{"info":"⊺⇮2148≹⇙⪍⊺⇮2888=NaN","layer":2},{"info":"↥⊺⇮2815=⊺⇮10","layer":3},{"info":"⊺⇮5067⨸⪁⊺⇮1656=⊺⇮13446","layer":3},{"info":"⊺⇮10⊭↱⊺⇮13446=⊺⇮26877","layer":2},{"info":"NaN⪘⫢⊺⇮26877=NaN","layer":1},{"info":"↯⪼⊺⇮1111=⊺⇮-21","layer":3},{"info":"≦∁⊺⇮-21=⊺⇮-70","layer":2},{"info":"⊺⇮1017⋫=⊺⇮1017","layer":3},{"info":"⨑⩽⪐⊺⇮4893=⊺⇮-4620","layer":3},{"info":"⊺⇮1017∀⇚≩⊺⇮-4620=NaN","layer":2},{"info":"⊺⇮-70⨸⪁NaN=NaN","layer":1},{"info":"NaN⋷NaN=NaN","layer":0}]}
{"id":312,"expression_no_base_symbol":"((($9045$↙$2674$)⨓($3907$∲⫓$5391$))∧)⩚⊴⇥(↔(⪝⪂⫅($2796$⫥∨⫟$2829$)))","expression":"(((⊺⇮9045↙⊺⇮2674)⨓(⊺⇮3907∲⫓⊺⇮5391))∧)⩚⊴⇥(↔(⪝⪂⫅(⊺⇮2796⫥∨⫟⊺⇮2829)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2877,"operation_count":8,"complexity_ratio":359.625,"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":9045,"base":10},"right_expr":{"type":"numeric_atoms","value":2674,"base":10}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3907,"base":10},"right_expr":{"type":"numeric_atoms","value":5391,"base":10}}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2796,"base":10},"right_expr":{"type":"numeric_atoms","value":2829,"base":10}}}}},"used_operators":["NTOWxs364D","z63VuFQld9","3ViojmjbAp","yyfyN0ffXY","i8ToyICDmI","ruOEQAzv1W","XTarYq4gQB","KYD54nUTWz"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","9HNa5Wba9A","8w2t5hMYqp","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=9045","layer":4},{"info":"number node, value=2674","layer":4},{"info":"compute binary expreesion, left_input=9045, right_input=2674, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-8022","layer":3},{"info":"number node, value=3907","layer":4},{"info":"number node, value=5391","layer":4},{"info":"compute binary expreesion, left_input=3907, right_input=5391, 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=-8022, right_input=0, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":1},{"info":"number node, value=2796","layer":4},{"info":"number node, value=2829","layer":4},{"info":"compute binary expreesion, left_input=2796, right_input=2829, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 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 = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮9045↙⊺⇮2674)⨓(⊺⇮3907∲⫓⊺⇮5391))∧)⩚⊴⇥(↔(⪝⪂⫅(⊺⇮2796⫥∨⫟⊺⇮2829)))=NaN","reverse_text":"NaN=(((⊺⇮9045↙⊺⇮2674)⨓(⊺⇮3907∲⫓⊺⇮5391))∧)⩚⊴⇥(↔(⪝⪂⫅(⊺⇮2796⫥∨⫟⊺⇮2829)))","cot":[{"info":"⊺⇮9045↙⊺⇮2674=⊺⇮-8022","layer":3},{"info":"⊺⇮3907∲⫓⊺⇮5391=⊺⇮0","layer":3},{"info":"⊺⇮-8022⨓⊺⇮0=NaN","layer":2},{"info":"NaN∧=NaN","layer":1},{"info":"⊺⇮2796⫥∨⫟⊺⇮2829=NaN","layer":3},{"info":"⪝⪂⫅NaN=NaN","layer":2},{"info":"↔NaN=⊺⇮-134","layer":1},{"info":"NaN⩚⊴⇥⊺⇮-134=NaN","layer":0}]}
{"id":313,"expression_no_base_symbol":"(((⪝⪂⫅$1256$)↺(+⊝⨔$1842$))⇷($3479$⋥≓≎$2177$⊭↱$3711$↺$1262$))⪛($1740$⨟⋌⩍$2268$≧⫂∧($3779$⨎$2423$)⊉≛↸(⨵≀≌$1156$)∀⇚≩($4470$⪄$1429$))","expression":"(((⪝⪂⫅⊺⇮1256)↺(+⊝⨔⊺⇮1842))⇷(⊺⇮3479⋥≓≎⊺⇮2177⊭↱⊺⇮3711↺⊺⇮1262))⪛(⊺⇮1740⨟⋌⩍⊺⇮2268≧⫂∧(⊺⇮3779⨎⊺⇮2423)⊉≛↸(⨵≀≌⊺⇮1156)∀⇚≩(⊺⇮4470⪄⊺⇮1429))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":45901,"operation_count":15,"complexity_ratio":3060.0666666666666,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1256,"base":10}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1842,"base":10}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3479,"base":10},"right_expr":{"type":"numeric_atoms","value":2177,"base":10}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3711,"base":10},"right_expr":{"type":"numeric_atoms","value":1262,"base":10}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1740,"base":10},"right_expr":{"type":"numeric_atoms","value":2268,"base":10}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3779,"base":10},"right_expr":{"type":"numeric_atoms","value":2423,"base":10}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1156,"base":10}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4470,"base":10},"right_expr":{"type":"numeric_atoms","value":1429,"base":10}}}}},"used_operators":["uFcxV4UQCh","mp7IySMOzn","7j4O788W3g","XTarYq4gQB","DhbWaqg5eL","COABgblf1C","Qy55tPpLXF","DZ8iAZOCBD","Ph9nP6C5qx","rGHVDoGpnC","rJVOvQCfKK","LRNGc0VcxI","srAu1WTS94","SUmda5xLS4"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","X99M06cbEe","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"⊺⇮1426","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1256","layer":4},{"info":"compute unary expreesion, input=1256, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-184632","layer":3},{"info":"number node, value=1842","layer":4},{"info":"compute unary expreesion, input=1842, 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=-184632, right_input=1522, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1522","layer":2},{"info":"number node, value=3479","layer":4},{"info":"number node, value=2177","layer":4},{"info":"compute binary expreesion, left_input=3479, right_input=2177, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=908","layer":3},{"info":"number node, value=3711","layer":4},{"info":"number node, value=1262","layer":4},{"info":"compute binary expreesion, left_input=3711, 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=908, right_input=1262, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=713","layer":2},{"info":"compute binary expreesion, left_input=1522, right_input=713, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=1426","layer":1},{"info":"number node, value=1740","layer":4},{"info":"number node, value=2268","layer":4},{"info":"compute binary expreesion, left_input=1740, right_input=2268, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=3779","layer":4},{"info":"number node, value=2423","layer":4},{"info":"compute binary expreesion, left_input=3779, right_input=2423, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2423","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2423, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1950","layer":2},{"info":"number node, value=1156","layer":4},{"info":"compute unary expreesion, input=1156, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3468","layer":3},{"info":"number node, value=4470","layer":4},{"info":"number node, value=1429","layer":4},{"info":"compute binary expreesion, left_input=4470, right_input=1429, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-663365","layer":3},{"info":"compute binary expreesion, left_input=-3468, right_input=-663365, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1950, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3900","layer":1},{"info":"compute binary expreesion, left_input=1426, right_input=3900, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1426","layer":0}],"base":10,"result_base":10,"text":"(((⪝⪂⫅⊺⇮1256)↺(+⊝⨔⊺⇮1842))⇷(⊺⇮3479⋥≓≎⊺⇮2177⊭↱⊺⇮3711↺⊺⇮1262))⪛(⊺⇮1740⨟⋌⩍⊺⇮2268≧⫂∧(⊺⇮3779⨎⊺⇮2423)⊉≛↸(⨵≀≌⊺⇮1156)∀⇚≩(⊺⇮4470⪄⊺⇮1429))=⊺⇮1426","reverse_text":"⊺⇮1426=(((⪝⪂⫅⊺⇮1256)↺(+⊝⨔⊺⇮1842))⇷(⊺⇮3479⋥≓≎⊺⇮2177⊭↱⊺⇮3711↺⊺⇮1262))⪛(⊺⇮1740⨟⋌⩍⊺⇮2268≧⫂∧(⊺⇮3779⨎⊺⇮2423)⊉≛↸(⨵≀≌⊺⇮1156)∀⇚≩(⊺⇮4470⪄⊺⇮1429))","cot":[{"info":"⪝⪂⫅⊺⇮1256=⊺⇮-184632","layer":3},{"info":"+⊝⨔⊺⇮1842=⊺⇮1522","layer":3},{"info":"⊺⇮-184632↺⊺⇮1522=⊺⇮1522","layer":2},{"info":"⊺⇮3479⋥≓≎⊺⇮2177=⊺⇮908","layer":3},{"info":"⊺⇮3711↺⊺⇮1262=⊺⇮1262","layer":3},{"info":"⊺⇮908⊭↱⊺⇮1262=⊺⇮713","layer":2},{"info":"⊺⇮1522⇷⊺⇮713=⊺⇮1426","layer":1},{"info":"⊺⇮1740⨟⋌⩍⊺⇮2268=NaN","layer":3},{"info":"⊺⇮3779⨎⊺⇮2423=⊺⇮2423","layer":3},{"info":"NaN≧⫂∧⊺⇮2423=⊺⇮1950","layer":2},{"info":"⨵≀≌⊺⇮1156=⊺⇮-3468","layer":3},{"info":"⊺⇮4470⪄⊺⇮1429=⊺⇮-663365","layer":3},{"info":"⊺⇮-3468∀⇚≩⊺⇮-663365=NaN","layer":2},{"info":"⊺⇮1950⊉≛↸NaN=⊺⇮3900","layer":1},{"info":"⊺⇮1426⪛⊺⇮3900=⊺⇮1426","layer":0}]}
{"id":314,"expression_no_base_symbol":"↔($3352$⋳⪒$1488$↺($1227$+$1542$)⋷($1138$+⇶⊼$4411$)⩷∴($5208$⊠≄⫣))","expression":"↔(⊺⇮3352⋳⪒⊺⇮1488↺(⊺⇮1227+⊺⇮1542)⋷(⊺⇮1138+⇶⊼⊺⇮4411)⩷∴(⊺⇮5208⊠≄⫣))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":45,"operation_count":8,"complexity_ratio":5.625,"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":3352,"base":10},"right_expr":{"type":"numeric_atoms","value":1488,"base":10}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1227,"base":10},"right_expr":{"type":"numeric_atoms","value":1542,"base":10}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1138,"base":10},"right_expr":{"type":"numeric_atoms","value":4411,"base":10}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":5208,"base":10}}}}},"used_operators":["ruOEQAzv1W","23Mk6UjR3U","7j4O788W3g","12rbrZMWeM","W4YGzv6Whe","9FxExcQeMw","TpPTUOHfaN","DIvbN7qnHd"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"⊺⇮-134","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=3352","layer":4},{"info":"number node, value=1488","layer":4},{"info":"compute binary expreesion, left_input=3352, right_input=1488, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=4929","layer":3},{"info":"number node, value=1227","layer":4},{"info":"number node, value=1542","layer":4},{"info":"compute binary expreesion, left_input=1227, right_input=1542, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2769","layer":3},{"info":"compute binary expreesion, left_input=4929, right_input=2769, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2769","layer":2},{"info":"number node, value=1138","layer":4},{"info":"number node, value=4411","layer":4},{"info":"compute binary expreesion, left_input=1138, right_input=4411, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=5208","layer":4},{"info":"compute unary expreesion, input=5208, 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 = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2769, 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 = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":0}],"base":10,"result_base":10,"text":"↔(⊺⇮3352⋳⪒⊺⇮1488↺(⊺⇮1227+⊺⇮1542)⋷(⊺⇮1138+⇶⊼⊺⇮4411)⩷∴(⊺⇮5208⊠≄⫣))=⊺⇮-134","reverse_text":"⊺⇮-134=↔(⊺⇮3352⋳⪒⊺⇮1488↺(⊺⇮1227+⊺⇮1542)⋷(⊺⇮1138+⇶⊼⊺⇮4411)⩷∴(⊺⇮5208⊠≄⫣))","cot":[{"info":"⊺⇮3352⋳⪒⊺⇮1488=⊺⇮4929","layer":3},{"info":"⊺⇮1227+⊺⇮1542=⊺⇮2769","layer":3},{"info":"⊺⇮4929↺⊺⇮2769=⊺⇮2769","layer":2},{"info":"⊺⇮1138+⇶⊼⊺⇮4411=NaN","layer":3},{"info":"⊺⇮5208⊠≄⫣=⊺⇮0","layer":3},{"info":"NaN⩷∴⊺⇮0=NaN","layer":2},{"info":"⊺⇮2769⋷NaN=NaN","layer":1},{"info":"↔NaN=⊺⇮-134","layer":0}]}
{"id":315,"expression_no_base_symbol":"(⩦⩻⨪(≉(⊥$2223$)))⨎(∥⊫(↔$3845$)∑⇟⊟($3705$⩷∴$4304$))","expression":"(⩦⩻⨪(≉(⊥⊺⇮2223)))⨎(∥⊫(↔⊺⇮3845)∑⇟⊟(⊺⇮3705⩷∴⊺⇮4304))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":23,"operation_count":8,"complexity_ratio":2.875,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":2223,"base":10}}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":3845,"base":10}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3705,"base":10},"right_expr":{"type":"numeric_atoms","value":4304,"base":10}}}}},"used_operators":["rJVOvQCfKK","2td37pGCOC","e1ybzncUwg","Q3PJZHRvZv","P8v4zCKN1o","U7g4x0WXJJ","ruOEQAzv1W","9FxExcQeMw"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2223","layer":4},{"info":"compute unary expreesion, input=2223, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":1},{"info":"number node, value=3845","layer":4},{"info":"compute unary expreesion, input=3845, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3572","layer":3},{"info":"number node, value=3705","layer":4},{"info":"number node, value=4304","layer":4},{"info":"compute binary expreesion, left_input=3705, right_input=4304, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-1230","layer":3},{"info":"compute binary expreesion, left_input=-3572, right_input=-1230, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":1},{"info":"compute 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":10,"result_base":10,"text":"(⩦⩻⨪(≉(⊥⊺⇮2223)))⨎(∥⊫(↔⊺⇮3845)∑⇟⊟(⊺⇮3705⩷∴⊺⇮4304))=NaN","reverse_text":"NaN=(⩦⩻⨪(≉(⊥⊺⇮2223)))⨎(∥⊫(↔⊺⇮3845)∑⇟⊟(⊺⇮3705⩷∴⊺⇮4304))","cot":[{"info":"⊥⊺⇮2223=NaN","layer":3},{"info":"≉NaN=NaN","layer":2},{"info":"⩦⩻⨪NaN=NaN","layer":1},{"info":"↔⊺⇮3845=⊺⇮-3572","layer":3},{"info":"⊺⇮3705⩷∴⊺⇮4304=⊺⇮-1230","layer":3},{"info":"⊺⇮-3572∑⇟⊟⊺⇮-1230=NaN","layer":2},{"info":"∥⊫NaN=NaN","layer":1},{"info":"NaN⨎NaN=NaN","layer":0}]}
{"id":316,"expression_no_base_symbol":"((∥⊫$1967$⊴$4519$)⨸⪁((⫛⫱⨽$4170$)/(⩦⩻⨪$4940$)))⋓(($2628$⋳⪒$7587$-$2396$⨐⩸⫘$3210$)-(($5561$⨳⩥⨓$2365$)⇋≉))","expression":"((∥⊫⊺⇮1967⊴⊺⇮4519)⨸⪁((⫛⫱⨽⊺⇮4170)/(⩦⩻⨪⊺⇮4940)))⋓((⊺⇮2628⋳⪒⊺⇮7587-⊺⇮2396⨐⩸⫘⊺⇮3210)-((⊺⇮5561⨳⩥⨓⊺⇮2365)⇋≉))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5986,"operation_count":13,"complexity_ratio":460.46153846153845,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1967,"base":10},"right_expr":{"type":"numeric_atoms","value":4519,"base":10}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":4170,"base":10}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":4940,"base":10}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2628,"base":10},"right_expr":{"type":"numeric_atoms","value":7587,"base":10}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2396,"base":10},"right_expr":{"type":"numeric_atoms","value":3210,"base":10}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5561,"base":10},"right_expr":{"type":"numeric_atoms","value":2365,"base":10}}}}},"used_operators":["T2fj7uvVaJ","g55IO6H4Gj","P8v4zCKN1o","Nsiff2A1zJ","XhwjNDsVaA","DlLNRPXxWL","2td37pGCOC","rysDP5nf3Z","12rbrZMWeM","fu6greOZ01","XIabStNQrY","nCS4ZIUYfx"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1967","layer":4},{"info":"number node, value=4519","layer":4},{"info":"compute binary expreesion, left_input=1967, right_input=4519, 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=4170","layer":4},{"info":"compute unary expreesion, input=4170, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=4940","layer":4},{"info":"compute unary expreesion, input=4940, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=4940","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4940, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"number node, value=2628","layer":4},{"info":"number node, value=7587","layer":4},{"info":"compute binary expreesion, left_input=2628, right_input=7587, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-2618","layer":3},{"info":"number node, value=2396","layer":4},{"info":"number node, value=3210","layer":4},{"info":"compute binary expreesion, left_input=2396, right_input=3210, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=-2618, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=5561","layer":4},{"info":"number node, value=2365","layer":4},{"info":"compute binary expreesion, left_input=5561, right_input=2365, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3196","layer":3},{"info":"compute unary expreesion, input=-3196, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-6490","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-6490, op_id = rysDP5nf3Z 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":10,"result_base":10,"text":"((∥⊫⊺⇮1967⊴⊺⇮4519)⨸⪁((⫛⫱⨽⊺⇮4170)/(⩦⩻⨪⊺⇮4940)))⋓((⊺⇮2628⋳⪒⊺⇮7587-⊺⇮2396⨐⩸⫘⊺⇮3210)-((⊺⇮5561⨳⩥⨓⊺⇮2365)⇋≉))=NaN","reverse_text":"NaN=((∥⊫⊺⇮1967⊴⊺⇮4519)⨸⪁((⫛⫱⨽⊺⇮4170)/(⩦⩻⨪⊺⇮4940)))⋓((⊺⇮2628⋳⪒⊺⇮7587-⊺⇮2396⨐⩸⫘⊺⇮3210)-((⊺⇮5561⨳⩥⨓⊺⇮2365)⇋≉))","cot":[{"info":"⊺⇮1967⊴⊺⇮4519=NaN","layer":3},{"info":"∥⊫NaN=NaN","layer":2},{"info":"⫛⫱⨽⊺⇮4170=⊺⇮0","layer":3},{"info":"⩦⩻⨪⊺⇮4940=⊺⇮4940","layer":3},{"info":"⊺⇮0/⊺⇮4940=⊺⇮0","layer":2},{"info":"NaN⨸⪁⊺⇮0=NaN","layer":1},{"info":"⊺⇮2628⋳⪒⊺⇮7587=⊺⇮-2618","layer":3},{"info":"⊺⇮2396⨐⩸⫘⊺⇮3210=NaN","layer":3},{"info":"⊺⇮-2618-NaN=NaN","layer":2},{"info":"⊺⇮5561⨳⩥⨓⊺⇮2365=⊺⇮-3196","layer":3},{"info":"⊺⇮-3196⇋≉=⊺⇮-6490","layer":2},{"info":"NaN-⊺⇮-6490=NaN","layer":1},{"info":"NaN⋓NaN=NaN","layer":0}]}
{"id":317,"expression_no_base_symbol":"(($2977$⇷$1344$≫≃)-$1095$≹⇙⪍$6420$≧⫂∧($1855$-$1307$))%(⊥(⊄⩳↩$1148$))⋝⋈⪟(+⊝⨔$4849$)⪢($4333$-$3006$)","expression":"((⊺⇮2977⇷⊺⇮1344≫≃)-⊺⇮1095≹⇙⪍⊺⇮6420≧⫂∧(⊺⇮1855-⊺⇮1307))%(⊥(⊄⩳↩⊺⇮1148))⋝⋈⪟(+⊝⨔⊺⇮4849)⪢(⊺⇮4333-⊺⇮3006)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":44156,"operation_count":13,"complexity_ratio":3396.6153846153848,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2977,"base":10},"right_expr":{"type":"numeric_atoms","value":1344,"base":10}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1095,"base":10},"right_expr":{"type":"numeric_atoms","value":6420,"base":10}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1855,"base":10},"right_expr":{"type":"numeric_atoms","value":1307,"base":10}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1148,"base":10}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":4849,"base":10}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4333,"base":10},"right_expr":{"type":"numeric_atoms","value":3006,"base":10}}}}},"used_operators":["k8jYdgA6NY","rysDP5nf3Z","X99M06cbEe","mp7IySMOzn","Ph9nP6C5qx","AHs5Up7iyr","2DDjHMKMc0","Q3PJZHRvZv","8w2t5hMYqp","dWAJyo7jo9","DhbWaqg5eL"],"dependent_operators":["rysDP5nf3Z","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2977","layer":4},{"info":"number node, value=1344","layer":4},{"info":"compute binary expreesion, left_input=2977, right_input=1344, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2688","layer":3},{"info":"compute unary expreesion, input=2688, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=6777","layer":2},{"info":"number node, value=1095","layer":4},{"info":"number node, value=6420","layer":4},{"info":"compute binary expreesion, left_input=1095, right_input=6420, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=1855","layer":4},{"info":"number node, value=1307","layer":4},{"info":"compute binary expreesion, left_input=1855, right_input=1307, op_id = rysDP5nf3Z binary_op_definition= 'None', output=548","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=548, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=75","layer":2},{"info":"compute binary expreesion, left_input=6777, right_input=75, op_id = rysDP5nf3Z binary_op_definition= 'None', output=6702","layer":1},{"info":"number node, value=1148","layer":4},{"info":"compute unary expreesion, input=1148, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3444","layer":3},{"info":"compute unary expreesion, input=-3444, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"number node, value=4849","layer":4},{"info":"compute unary expreesion, input=4849, 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=4333","layer":4},{"info":"number node, value=3006","layer":4},{"info":"compute binary expreesion, left_input=4333, right_input=3006, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1327","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=1327, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=6702, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮2977⇷⊺⇮1344≫≃)-⊺⇮1095≹⇙⪍⊺⇮6420≧⫂∧(⊺⇮1855-⊺⇮1307))%(⊥(⊄⩳↩⊺⇮1148))⋝⋈⪟(+⊝⨔⊺⇮4849)⪢(⊺⇮4333-⊺⇮3006)=NaN","reverse_text":"NaN=((⊺⇮2977⇷⊺⇮1344≫≃)-⊺⇮1095≹⇙⪍⊺⇮6420≧⫂∧(⊺⇮1855-⊺⇮1307))%(⊥(⊄⩳↩⊺⇮1148))⋝⋈⪟(+⊝⨔⊺⇮4849)⪢(⊺⇮4333-⊺⇮3006)","cot":[{"info":"⊺⇮2977⇷⊺⇮1344=⊺⇮2688","layer":3},{"info":"⊺⇮2688≫≃=⊺⇮6777","layer":2},{"info":"⊺⇮1095≹⇙⪍⊺⇮6420=NaN","layer":3},{"info":"⊺⇮1855-⊺⇮1307=⊺⇮548","layer":3},{"info":"NaN≧⫂∧⊺⇮548=⊺⇮75","layer":2},{"info":"⊺⇮6777-⊺⇮75=⊺⇮6702","layer":1},{"info":"⊄⩳↩⊺⇮1148=⊺⇮-3444","layer":3},{"info":"⊥⊺⇮-3444=NaN","layer":2},{"info":"+⊝⨔⊺⇮4849=⊺⇮1522","layer":3},{"info":"⊺⇮4333-⊺⇮3006=⊺⇮1327","layer":3},{"info":"⊺⇮1522⪢⊺⇮1327=NaN","layer":2},{"info":"NaN⋝⋈⪟NaN=NaN","layer":1},{"info":"⊺⇮6702%NaN=NaN","layer":0}]}
{"id":318,"expression_no_base_symbol":"((∂(⇁⨣⪵$8910$))-(↣≠⋷($2008$↙$4074$)))*(↔(⨵≀≌$3019$⪘⫢$3192$))","expression":"((∂(⇁⨣⪵⊺⇮8910))-(↣≠⋷(⊺⇮2008↙⊺⇮4074)))*(↔(⨵≀≌⊺⇮3019⪘⫢⊺⇮3192))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4124,"operation_count":9,"complexity_ratio":458.22222222222223,"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":8910,"base":10}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2008,"base":10},"right_expr":{"type":"numeric_atoms","value":4074,"base":10}}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3019,"base":10},"right_expr":{"type":"numeric_atoms","value":3192,"base":10}}}}},"used_operators":["9HNa5Wba9A","rysDP5nf3Z","Uaa54Peajs","inkyxCbjAn","Asc51vEJeQ","yyfyN0ffXY","ruOEQAzv1W","srAu1WTS94","oacrs7FA3X"],"dependent_operators":["W4YGzv6Whe","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","B5M0gjZbta","XhwjNDsVaA","AHs5Up7iyr","tmPS8pqC7x","DpFCA1CohY","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=8910","layer":4},{"info":"compute unary expreesion, input=8910, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":2},{"info":"number node, value=2008","layer":4},{"info":"number node, value=4074","layer":4},{"info":"compute binary expreesion, left_input=2008, right_input=4074, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-12222","layer":3},{"info":"compute unary expreesion, input=-12222, 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":"number node, value=3019","layer":4},{"info":"number node, value=3192","layer":4},{"info":"compute binary expreesion, left_input=3019, right_input=3192, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5914","layer":3},{"info":"compute unary expreesion, input=5914, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-17742","layer":2},{"info":"compute unary expreesion, input=-17742, 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 = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":10,"result_base":10,"text":"((∂(⇁⨣⪵⊺⇮8910))-(↣≠⋷(⊺⇮2008↙⊺⇮4074)))*(↔(⨵≀≌⊺⇮3019⪘⫢⊺⇮3192))=NaN","reverse_text":"NaN=((∂(⇁⨣⪵⊺⇮8910))-(↣≠⋷(⊺⇮2008↙⊺⇮4074)))*(↔(⨵≀≌⊺⇮3019⪘⫢⊺⇮3192))","cot":[{"info":"⇁⨣⪵⊺⇮8910=NaN","layer":3},{"info":"∂NaN=NaN","layer":2},{"info":"⊺⇮2008↙⊺⇮4074=⊺⇮-12222","layer":3},{"info":"↣≠⋷⊺⇮-12222=NaN","layer":2},{"info":"NaN-NaN=NaN","layer":1},{"info":"⊺⇮3019⪘⫢⊺⇮3192=⊺⇮5914","layer":3},{"info":"⨵≀≌⊺⇮5914=⊺⇮-17742","layer":2},{"info":"↔⊺⇮-17742=⊺⇮-134","layer":1},{"info":"NaN*⊺⇮-134=NaN","layer":0}]}
{"id":319,"expression_no_base_symbol":"(($1431$⋓$3121$)⪢($1047$⋥≓≎$2804$))⪮%⊝($2709$⨓$4474$↙($4095$⇼⇔∾$2858$))∀⇚≩(($1197$%$1116$)⋝⋈⪟($1960$∲⫓$2066$)↙($3887$/$6924$)⪘⫢($4377$⊘))","expression":"((⊺⇮1431⋓⊺⇮3121)⪢(⊺⇮1047⋥≓≎⊺⇮2804))⪮%⊝(⊺⇮2709⨓⊺⇮4474↙(⊺⇮4095⇼⇔∾⊺⇮2858))∀⇚≩((⊺⇮1197%⊺⇮1116)⋝⋈⪟(⊺⇮1960∲⫓⊺⇮2066)↙(⊺⇮3887/⊺⇮6924)⪘⫢(⊺⇮4377⊘))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":9140,"operation_count":15,"complexity_ratio":609.3333333333334,"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":1431,"base":10},"right_expr":{"type":"numeric_atoms","value":3121,"base":10}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1047,"base":10},"right_expr":{"type":"numeric_atoms","value":2804,"base":10}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2709,"base":10},"right_expr":{"type":"numeric_atoms","value":4474,"base":10}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":4095,"base":10},"right_expr":{"type":"numeric_atoms","value":2858,"base":10}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1197,"base":10},"right_expr":{"type":"numeric_atoms","value":1116,"base":10}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1960,"base":10},"right_expr":{"type":"numeric_atoms","value":2066,"base":10}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3887,"base":10},"right_expr":{"type":"numeric_atoms","value":6924,"base":10}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":4377,"base":10}}}}},"used_operators":["LRNGc0VcxI","IWmyXbctLI","dWAJyo7jo9","T2fj7uvVaJ","Qy55tPpLXF","yyfyN0ffXY","3ViojmjbAp","tifHPKVTfV","2DDjHMKMc0","k8jYdgA6NY","i8ToyICDmI","oacrs7FA3X","XhwjNDsVaA","gu96TGCTMs"],"dependent_operators":["X99M06cbEe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1431","layer":4},{"info":"number node, value=3121","layer":4},{"info":"compute binary expreesion, left_input=1431, right_input=3121, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=1047","layer":4},{"info":"number node, value=2804","layer":4},{"info":"compute binary expreesion, left_input=1047, right_input=2804, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=4594","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4594, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=2709","layer":4},{"info":"number node, value=4474","layer":4},{"info":"compute binary expreesion, left_input=2709, right_input=4474, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4477","layer":3},{"info":"number node, value=4095","layer":4},{"info":"number node, value=2858","layer":4},{"info":"compute binary expreesion, left_input=4095, right_input=2858, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1237","layer":3},{"info":"compute binary expreesion, left_input=-4477, right_input=-1237, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4477","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-4477, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"number node, value=1197","layer":4},{"info":"number node, value=1116","layer":4},{"info":"compute binary expreesion, left_input=1197, right_input=1116, op_id = k8jYdgA6NY binary_op_definition= 'None', output=81","layer":3},{"info":"number node, value=1960","layer":4},{"info":"number node, value=2066","layer":4},{"info":"compute binary expreesion, left_input=1960, right_input=2066, 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=81, right_input=0, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=81","layer":2},{"info":"number node, value=3887","layer":4},{"info":"number node, value=6924","layer":4},{"info":"compute binary expreesion, left_input=3887, right_input=6924, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=4377","layer":4},{"info":"compute unary expreesion, input=4377, 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 = 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=81, right_input=0, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=81","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=81, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":10,"result_base":10,"text":"((⊺⇮1431⋓⊺⇮3121)⪢(⊺⇮1047⋥≓≎⊺⇮2804))⪮%⊝(⊺⇮2709⨓⊺⇮4474↙(⊺⇮4095⇼⇔∾⊺⇮2858))∀⇚≩((⊺⇮1197%⊺⇮1116)⋝⋈⪟(⊺⇮1960∲⫓⊺⇮2066)↙(⊺⇮3887/⊺⇮6924)⪘⫢(⊺⇮4377⊘))=NaN","reverse_text":"NaN=((⊺⇮1431⋓⊺⇮3121)⪢(⊺⇮1047⋥≓≎⊺⇮2804))⪮%⊝(⊺⇮2709⨓⊺⇮4474↙(⊺⇮4095⇼⇔∾⊺⇮2858))∀⇚≩((⊺⇮1197%⊺⇮1116)⋝⋈⪟(⊺⇮1960∲⫓⊺⇮2066)↙(⊺⇮3887/⊺⇮6924)⪘⫢(⊺⇮4377⊘))","cot":[{"info":"⊺⇮1431⋓⊺⇮3121=⊺⇮0","layer":3},{"info":"⊺⇮1047⋥≓≎⊺⇮2804=⊺⇮4594","layer":3},{"info":"⊺⇮0⪢⊺⇮4594=NaN","layer":2},{"info":"⊺⇮2709⨓⊺⇮4474=⊺⇮-4477","layer":3},{"info":"⊺⇮4095⇼⇔∾⊺⇮2858=⊺⇮-1237","layer":3},{"info":"⊺⇮-4477↙⊺⇮-1237=⊺⇮-4477","layer":2},{"info":"NaN⪮%⊝⊺⇮-4477=NaN","layer":1},{"info":"⊺⇮1197%⊺⇮1116=⊺⇮81","layer":3},{"info":"⊺⇮1960∲⫓⊺⇮2066=⊺⇮0","layer":3},{"info":"⊺⇮81⋝⋈⪟⊺⇮0=⊺⇮81","layer":2},{"info":"⊺⇮3887/⊺⇮6924=⊺⇮0","layer":3},{"info":"⊺⇮4377⊘=⊺⇮0","layer":3},{"info":"⊺⇮0⪘⫢⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮81↙⊺⇮0=⊺⇮81","layer":1},{"info":"NaN∀⇚≩⊺⇮81=NaN","layer":0}]}
{"id":320,"expression_no_base_symbol":"⊙↵-(($1337$⊉≛↸$6893$)↙($3284$⨵⪆$2722$))⊴(+⊝⨔($5542$↬$2891$))","expression":"⊙↵-((⊺⇮1337⊉≛↸⊺⇮6893)↙(⊺⇮3284⨵⪆⊺⇮2722))⊴(+⊝⨔(⊺⇮5542↬⊺⇮2891))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1785,"operation_count":7,"complexity_ratio":255.0,"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":1337,"base":10},"right_expr":{"type":"numeric_atoms","value":6893,"base":10}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3284,"base":10},"right_expr":{"type":"numeric_atoms","value":2722,"base":10}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":5542,"base":10},"right_expr":{"type":"numeric_atoms","value":2891,"base":10}}}}},"used_operators":["oWn0xqSxBt","Nsiff2A1zJ","yyfyN0ffXY","DZ8iAZOCBD","2DQ55sFlQl","DhbWaqg5eL","B5M0gjZbta"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","dWAJyo7jo9","14qkJME0vr","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=1337","layer":4},{"info":"number node, value=6893","layer":4},{"info":"compute binary expreesion, left_input=1337, right_input=6893, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2674","layer":3},{"info":"number node, value=3284","layer":4},{"info":"number node, value=2722","layer":4},{"info":"compute binary expreesion, left_input=3284, right_input=2722, 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=2674, right_input=160, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-480","layer":2},{"info":"number node, value=5542","layer":4},{"info":"number node, value=2891","layer":4},{"info":"compute binary expreesion, left_input=5542, right_input=2891, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = 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=-480, right_input=1522, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', 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":10,"result_base":10,"text":"⊙↵-((⊺⇮1337⊉≛↸⊺⇮6893)↙(⊺⇮3284⨵⪆⊺⇮2722))⊴(+⊝⨔(⊺⇮5542↬⊺⇮2891))=NaN","reverse_text":"NaN=⊙↵-((⊺⇮1337⊉≛↸⊺⇮6893)↙(⊺⇮3284⨵⪆⊺⇮2722))⊴(+⊝⨔(⊺⇮5542↬⊺⇮2891))","cot":[{"info":"⊺⇮1337⊉≛↸⊺⇮6893=⊺⇮2674","layer":3},{"info":"⊺⇮3284⨵⪆⊺⇮2722=⊺⇮160","layer":3},{"info":"⊺⇮2674↙⊺⇮160=⊺⇮-480","layer":2},{"info":"⊺⇮5542↬⊺⇮2891=NaN","layer":3},{"info":"+⊝⨔NaN=⊺⇮1522","layer":2},{"info":"⊺⇮-480⊴⊺⇮1522=NaN","layer":1},{"info":"⊙↵-NaN=NaN","layer":0}]}
{"id":321,"expression_no_base_symbol":"(($1162$/$3189$)-$2597$⪄$4487$)⋝⋈⪟($2025$⋝⋈⪟$5493$⊉≛↸($1665$⋷$2529$))⊭∹↮","expression":"((⊺⇮1162/⊺⇮3189)-⊺⇮2597⪄⊺⇮4487)⋝⋈⪟(⊺⇮2025⋝⋈⪟⊺⇮5493⊉≛↸(⊺⇮1665⋷⊺⇮2529))⊭∹↮","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":114,"operation_count":8,"complexity_ratio":14.25,"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":1162,"base":10},"right_expr":{"type":"numeric_atoms","value":3189,"base":10}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2597,"base":10},"right_expr":{"type":"numeric_atoms","value":4487,"base":10}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2025,"base":10},"right_expr":{"type":"numeric_atoms","value":5493,"base":10}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1665,"base":10},"right_expr":{"type":"numeric_atoms","value":2529,"base":10}}}}},"used_operators":["xNBdhnnwKq","2DDjHMKMc0","rysDP5nf3Z","XhwjNDsVaA","SUmda5xLS4","DZ8iAZOCBD","23Mk6UjR3U"],"dependent_operators":["2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮796786","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1162","layer":4},{"info":"number node, value=3189","layer":4},{"info":"compute binary expreesion, left_input=1162, right_input=3189, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=2597","layer":4},{"info":"number node, value=4487","layer":4},{"info":"compute binary expreesion, left_input=2597, right_input=4487, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-398393","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-398393, op_id = rysDP5nf3Z binary_op_definition= 'None', output=398393","layer":2},{"info":"number node, value=2025","layer":4},{"info":"number node, value=5493","layer":4},{"info":"compute binary expreesion, left_input=2025, right_input=5493, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2025","layer":3},{"info":"number node, value=1665","layer":4},{"info":"number node, value=2529","layer":4},{"info":"compute binary expreesion, left_input=1665, right_input=2529, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3393","layer":3},{"info":"compute binary expreesion, left_input=2025, right_input=3393, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4050","layer":2},{"info":"compute binary expreesion, left_input=398393, right_input=4050, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=398393","layer":1},{"info":"compute unary expreesion, input=398393, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=796786","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1162/⊺⇮3189)-⊺⇮2597⪄⊺⇮4487)⋝⋈⪟(⊺⇮2025⋝⋈⪟⊺⇮5493⊉≛↸(⊺⇮1665⋷⊺⇮2529))⊭∹↮=⊺⇮796786","reverse_text":"⊺⇮796786=((⊺⇮1162/⊺⇮3189)-⊺⇮2597⪄⊺⇮4487)⋝⋈⪟(⊺⇮2025⋝⋈⪟⊺⇮5493⊉≛↸(⊺⇮1665⋷⊺⇮2529))⊭∹↮","cot":[{"info":"⊺⇮1162/⊺⇮3189=⊺⇮0","layer":3},{"info":"⊺⇮2597⪄⊺⇮4487=⊺⇮-398393","layer":3},{"info":"⊺⇮0-⊺⇮-398393=⊺⇮398393","layer":2},{"info":"⊺⇮2025⋝⋈⪟⊺⇮5493=⊺⇮2025","layer":3},{"info":"⊺⇮1665⋷⊺⇮2529=⊺⇮3393","layer":3},{"info":"⊺⇮2025⊉≛↸⊺⇮3393=⊺⇮4050","layer":2},{"info":"⊺⇮398393⋝⋈⪟⊺⇮4050=⊺⇮398393","layer":1},{"info":"⊺⇮398393⊭∹↮=⊺⇮796786","layer":0}]}
{"id":322,"expression_no_base_symbol":"(($6259$⊭↱$2289$)⇷($4170$⪐)⨵⪆(↩$3403$)⪛($2414$⋓$2110$))≎⊠⪸((⫓⪴($4477$∲⫓$1323$))⪒(⨈⫕$2678$⪘⫢$6606$))","expression":"((⊺⇮6259⊭↱⊺⇮2289)⇷(⊺⇮4170⪐)⨵⪆(↩⊺⇮3403)⪛(⊺⇮2414⋓⊺⇮2110))≎⊠⪸((⫓⪴(⊺⇮4477∲⫓⊺⇮1323))⪒(⨈⫕⊺⇮2678⪘⫢⊺⇮6606))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":111716,"operation_count":13,"complexity_ratio":8593.538461538461,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":6259,"base":10},"right_expr":{"type":"numeric_atoms","value":2289,"base":10}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":4170,"base":10}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":3403,"base":10}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2414,"base":10},"right_expr":{"type":"numeric_atoms","value":2110,"base":10}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4477,"base":10},"right_expr":{"type":"numeric_atoms","value":1323,"base":10}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2678,"base":10},"right_expr":{"type":"numeric_atoms","value":6606,"base":10}}}}},"used_operators":["bJkvcejdHO","2DQ55sFlQl","mp7IySMOzn","COABgblf1C","eH2TOUuTDT","uFcxV4UQCh","jLgFTUHLKL","T2fj7uvVaJ","f6k1SAg4EE","eLxqMNBOBk","i8ToyICDmI","megm06wKyl","oacrs7FA3X"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⊺⇮40967","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6259","layer":4},{"info":"number node, value=2289","layer":4},{"info":"compute binary expreesion, left_input=6259, right_input=2289, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-7935","layer":3},{"info":"number node, value=4170","layer":4},{"info":"compute unary expreesion, input=4170, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=8340","layer":3},{"info":"compute binary expreesion, left_input=-7935, right_input=8340, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=16680","layer":2},{"info":"number node, value=3403","layer":4},{"info":"compute unary expreesion, input=3403, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-24444","layer":3},{"info":"number node, value=2414","layer":4},{"info":"number node, value=2110","layer":4},{"info":"compute binary expreesion, left_input=2414, right_input=2110, op_id = T2fj7uvVaJ binary_op_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=-24444, right_input=0, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=16680, 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=4477","layer":4},{"info":"number node, value=1323","layer":4},{"info":"compute binary expreesion, left_input=4477, right_input=1323, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=0","layer":2},{"info":"number node, value=2678","layer":4},{"info":"number node, value=6606","layer":4},{"info":"compute binary expreesion, left_input=2678, right_input=6606, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5232","layer":3},{"info":"compute unary expreesion, input=5232, 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=0, right_input=-21, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=21","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=21, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=40967","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮6259⊭↱⊺⇮2289)⇷(⊺⇮4170⪐)⨵⪆(↩⊺⇮3403)⪛(⊺⇮2414⋓⊺⇮2110))≎⊠⪸((⫓⪴(⊺⇮4477∲⫓⊺⇮1323))⪒(⨈⫕⊺⇮2678⪘⫢⊺⇮6606))=⊺⇮40967","reverse_text":"⊺⇮40967=((⊺⇮6259⊭↱⊺⇮2289)⇷(⊺⇮4170⪐)⨵⪆(↩⊺⇮3403)⪛(⊺⇮2414⋓⊺⇮2110))≎⊠⪸((⫓⪴(⊺⇮4477∲⫓⊺⇮1323))⪒(⨈⫕⊺⇮2678⪘⫢⊺⇮6606))","cot":[{"info":"⊺⇮6259⊭↱⊺⇮2289=⊺⇮-7935","layer":3},{"info":"⊺⇮4170⪐=⊺⇮8340","layer":3},{"info":"⊺⇮-7935⇷⊺⇮8340=⊺⇮16680","layer":2},{"info":"↩⊺⇮3403=⊺⇮-24444","layer":3},{"info":"⊺⇮2414⋓⊺⇮2110=⊺⇮0","layer":3},{"info":"⊺⇮-24444⪛⊺⇮0=NaN","layer":2},{"info":"⊺⇮16680⨵⪆NaN=⊺⇮160","layer":1},{"info":"⊺⇮4477∲⫓⊺⇮1323=⊺⇮0","layer":3},{"info":"⫓⪴⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮2678⪘⫢⊺⇮6606=⊺⇮5232","layer":3},{"info":"⨈⫕⊺⇮5232=⊺⇮-21","layer":2},{"info":"⊺⇮0⪒⊺⇮-21=⊺⇮21","layer":1},{"info":"⊺⇮160≎⊠⪸⊺⇮21=⊺⇮40967","layer":0}]}
{"id":323,"expression_no_base_symbol":"(((∥⊫$2011$)*$5267$⋳⪒$4666$)⨰((↣≠⋷$1360$)⊉≛↸$1794$⨪↰⇹$5904$))⪘⫢(≤/(≤/$3224$)⋓(⨈⫕$3676$))","expression":"(((∥⊫⊺⇮2011)*⊺⇮5267⋳⪒⊺⇮4666)⨰((↣≠⋷⊺⇮1360)⊉≛↸⊺⇮1794⨪↰⇹⊺⇮5904))⪘⫢(≤/(≤/⊺⇮3224)⋓(⨈⫕⊺⇮3676))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":5105,"operation_count":12,"complexity_ratio":425.4166666666667,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":2011,"base":10}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":5267,"base":10},"right_expr":{"type":"numeric_atoms","value":4666,"base":10}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1360,"base":10}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1794,"base":10},"right_expr":{"type":"numeric_atoms","value":5904,"base":10}}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":3224,"base":10}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":3676,"base":10}}}}},"used_operators":["oacrs7FA3X","eewbuw0ToL","9HNa5Wba9A","P8v4zCKN1o","12rbrZMWeM","DZ8iAZOCBD","Asc51vEJeQ","tmPS8pqC7x","eLAdDNolq6","T2fj7uvVaJ","megm06wKyl"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","rJVOvQCfKK","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2011","layer":4},{"info":"compute unary expreesion, input=2011, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2879","layer":3},{"info":"number node, value=5267","layer":4},{"info":"number node, value=4666","layer":4},{"info":"compute binary expreesion, left_input=5267, right_input=4666, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=5581","layer":3},{"info":"compute binary expreesion, left_input=2879, right_input=5581, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=16067699","layer":2},{"info":"number node, value=1360","layer":4},{"info":"compute unary expreesion, input=1360, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=1794","layer":4},{"info":"number node, value=5904","layer":4},{"info":"compute binary expreesion, left_input=1794, right_input=5904, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1794","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1794, 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=16067699, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"number node, value=3224","layer":4},{"info":"compute unary expreesion, input=3224, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2740","layer":3},{"info":"number node, value=3676","layer":4},{"info":"compute unary expreesion, input=3676, 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=-2740, 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 unary expreesion, input=0, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=484","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=484, 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":10,"result_base":10,"text":"(((∥⊫⊺⇮2011)*⊺⇮5267⋳⪒⊺⇮4666)⨰((↣≠⋷⊺⇮1360)⊉≛↸⊺⇮1794⨪↰⇹⊺⇮5904))⪘⫢(≤/(≤/⊺⇮3224)⋓(⨈⫕⊺⇮3676))=NaN","reverse_text":"NaN=(((∥⊫⊺⇮2011)*⊺⇮5267⋳⪒⊺⇮4666)⨰((↣≠⋷⊺⇮1360)⊉≛↸⊺⇮1794⨪↰⇹⊺⇮5904))⪘⫢(≤/(≤/⊺⇮3224)⋓(⨈⫕⊺⇮3676))","cot":[{"info":"∥⊫⊺⇮2011=⊺⇮2879","layer":3},{"info":"⊺⇮5267⋳⪒⊺⇮4666=⊺⇮5581","layer":3},{"info":"⊺⇮2879*⊺⇮5581=⊺⇮16067699","layer":2},{"info":"↣≠⋷⊺⇮1360=NaN","layer":3},{"info":"⊺⇮1794⨪↰⇹⊺⇮5904=⊺⇮1794","layer":3},{"info":"NaN⊉≛↸⊺⇮1794=NaN","layer":2},{"info":"⊺⇮16067699⨰NaN=NaN","layer":1},{"info":"≤/⊺⇮3224=⊺⇮-2740","layer":3},{"info":"⨈⫕⊺⇮3676=⊺⇮-21","layer":3},{"info":"⊺⇮-2740⋓⊺⇮-21=⊺⇮0","layer":2},{"info":"≤/⊺⇮0=⊺⇮484","layer":1},{"info":"NaN⪘⫢⊺⇮484=NaN","layer":0}]}
{"id":324,"expression_no_base_symbol":"((⊄⩳↩(↩$8714$))⨎($3033$⋷$3975$)+⇶⊼($7720$⨽$1936$))⨰(($1070$⨳⩥⨓$1060$)⩚⊴⇥($2191$*$7076$))⨟⋌⩍(($1001$⨸⪁$8117$)⩠)","expression":"((⊄⩳↩(↩⊺⇮8714))⨎(⊺⇮3033⋷⊺⇮3975)+⇶⊼(⊺⇮7720⨽⊺⇮1936))⨰((⊺⇮1070⨳⩥⨓⊺⇮1060)⩚⊴⇥(⊺⇮2191*⊺⇮7076))⨟⋌⩍((⊺⇮1001⨸⪁⊺⇮8117)⩠)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":9978,"operation_count":13,"complexity_ratio":767.5384615384615,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":8714,"base":10}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3033,"base":10},"right_expr":{"type":"numeric_atoms","value":3975,"base":10}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":7720,"base":10},"right_expr":{"type":"numeric_atoms","value":1936,"base":10}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1070,"base":10},"right_expr":{"type":"numeric_atoms","value":1060,"base":10}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2191,"base":10},"right_expr":{"type":"numeric_atoms","value":7076,"base":10}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1001,"base":10},"right_expr":{"type":"numeric_atoms","value":8117,"base":10}}}}},"used_operators":["eewbuw0ToL","rJVOvQCfKK","8w2t5hMYqp","jLgFTUHLKL","TpPTUOHfaN","23Mk6UjR3U","8HhzD0ZcuI","rGHVDoGpnC","NTOWxs364D","nCS4ZIUYfx","9HNa5Wba9A","sJAwomhLZr","g55IO6H4Gj"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=8714","layer":4},{"info":"compute unary expreesion, input=8714, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-66932","layer":3},{"info":"compute unary expreesion, input=-66932, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=200796","layer":2},{"info":"number node, value=3033","layer":4},{"info":"number node, value=3975","layer":4},{"info":"compute binary expreesion, left_input=3033, right_input=3975, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=4917","layer":3},{"info":"number node, value=7720","layer":4},{"info":"number node, value=1936","layer":4},{"info":"compute binary expreesion, left_input=7720, right_input=1936, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-178799694","layer":3},{"info":"compute binary expreesion, left_input=4917, right_input=-178799694, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=200796, 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=1070","layer":4},{"info":"number node, value=1060","layer":4},{"info":"compute binary expreesion, left_input=1070, right_input=1060, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-10","layer":3},{"info":"number node, value=2191","layer":4},{"info":"number node, value=7076","layer":4},{"info":"compute binary expreesion, left_input=2191, right_input=7076, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=15503516","layer":3},{"info":"compute binary expreesion, left_input=-10, right_input=15503516, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-15503627","layer":2},{"info":"number node, value=1001","layer":4},{"info":"number node, value=8117","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=8117, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=18236","layer":3},{"info":"compute unary expreesion, input=18236, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-15503627, 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=-15503627","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-15503627, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊄⩳↩(↩⊺⇮8714))⨎(⊺⇮3033⋷⊺⇮3975)+⇶⊼(⊺⇮7720⨽⊺⇮1936))⨰((⊺⇮1070⨳⩥⨓⊺⇮1060)⩚⊴⇥(⊺⇮2191*⊺⇮7076))⨟⋌⩍((⊺⇮1001⨸⪁⊺⇮8117)⩠)=NaN","reverse_text":"NaN=((⊄⩳↩(↩⊺⇮8714))⨎(⊺⇮3033⋷⊺⇮3975)+⇶⊼(⊺⇮7720⨽⊺⇮1936))⨰((⊺⇮1070⨳⩥⨓⊺⇮1060)⩚⊴⇥(⊺⇮2191*⊺⇮7076))⨟⋌⩍((⊺⇮1001⨸⪁⊺⇮8117)⩠)","cot":[{"info":"↩⊺⇮8714=⊺⇮-66932","layer":3},{"info":"⊄⩳↩⊺⇮-66932=⊺⇮200796","layer":2},{"info":"⊺⇮3033⋷⊺⇮3975=⊺⇮4917","layer":3},{"info":"⊺⇮7720⨽⊺⇮1936=⊺⇮-178799694","layer":3},{"info":"⊺⇮4917+⇶⊼⊺⇮-178799694=NaN","layer":2},{"info":"⊺⇮200796⨎NaN=NaN","layer":1},{"info":"⊺⇮1070⨳⩥⨓⊺⇮1060=⊺⇮-10","layer":3},{"info":"⊺⇮2191*⊺⇮7076=⊺⇮15503516","layer":3},{"info":"⊺⇮-10⩚⊴⇥⊺⇮15503516=⊺⇮-15503627","layer":2},{"info":"⊺⇮1001⨸⪁⊺⇮8117=⊺⇮18236","layer":3},{"info":"⊺⇮18236⩠=⊺⇮0","layer":2},{"info":"⊺⇮-15503627⨟⋌⩍⊺⇮0=⊺⇮-15503627","layer":1},{"info":"NaN⨰⊺⇮-15503627=NaN","layer":0}]}
{"id":325,"expression_no_base_symbol":"⨑⩽⪐(⨰⫟⨤(($2020$∸)⪒$3709$⨎$1215$))","expression":"⨑⩽⪐(⨰⫟⨤((⊺⇮2020∸)⪒⊺⇮3709⨎⊺⇮1215))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":6648,"operation_count":5,"complexity_ratio":1329.6,"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":2020,"base":10}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3709,"base":10},"right_expr":{"type":"numeric_atoms","value":1215,"base":10}}}}},"used_operators":["AF7qkfDlqP","Tw270M8GLb","f6k1SAg4EE","o20kRiQErp","rJVOvQCfKK"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2020","layer":4},{"info":"compute unary expreesion, input=2020, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=3709","layer":4},{"info":"number node, value=1215","layer":4},{"info":"compute binary expreesion, left_input=3709, right_input=1215, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1215","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=1215, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-1392","layer":2},{"info":"compute unary expreesion, input=-1392, 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 = 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":10,"result_base":10,"text":"⨑⩽⪐(⨰⫟⨤((⊺⇮2020∸)⪒⊺⇮3709⨎⊺⇮1215))=NaN","reverse_text":"NaN=⨑⩽⪐(⨰⫟⨤((⊺⇮2020∸)⪒⊺⇮3709⨎⊺⇮1215))","cot":[{"info":"⊺⇮2020∸=⊺⇮177","layer":3},{"info":"⊺⇮3709⨎⊺⇮1215=⊺⇮1215","layer":3},{"info":"⊺⇮177⪒⊺⇮1215=⊺⇮-1392","layer":2},{"info":"⨰⫟⨤⊺⇮-1392=NaN","layer":1},{"info":"⨑⩽⪐NaN=NaN","layer":0}]}
{"id":326,"expression_no_base_symbol":"↥(↯⪼(⋗⩬⋾$1179$))⋥≓≎(↩$1142$⫸⊐$4615$)","expression":"↥(↯⪼(⋗⩬⋾⊺⇮1179))⋥≓≎(↩⊺⇮1142⫸⊐⊺⇮4615)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5823,"operation_count":6,"complexity_ratio":970.5,"tree":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1179,"base":10}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1142,"base":10},"right_expr":{"type":"numeric_atoms","value":4615,"base":10}}}}},"used_operators":["A8NUZmVepG","Qy55tPpLXF","8jW3W4yZS5","DpFCA1CohY","jLgFTUHLKL","mqXw5SEYmG"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⊺⇮40","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1179","layer":4},{"info":"compute unary expreesion, input=1179, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3537","layer":3},{"info":"compute unary expreesion, input=-3537, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=6157","layer":2},{"info":"number node, value=1142","layer":4},{"info":"number node, value=4615","layer":4},{"info":"compute binary expreesion, left_input=1142, right_input=4615, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=18335","layer":3},{"info":"compute unary expreesion, input=18335, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-143900","layer":2},{"info":"compute binary expreesion, left_input=6157, right_input=-143900, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-293924","layer":1},{"info":"compute unary expreesion, input=-293924, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=40","layer":0}],"base":10,"result_base":10,"text":"↥(↯⪼(⋗⩬⋾⊺⇮1179))⋥≓≎(↩⊺⇮1142⫸⊐⊺⇮4615)=⊺⇮40","reverse_text":"⊺⇮40=↥(↯⪼(⋗⩬⋾⊺⇮1179))⋥≓≎(↩⊺⇮1142⫸⊐⊺⇮4615)","cot":[{"info":"⋗⩬⋾⊺⇮1179=⊺⇮-3537","layer":3},{"info":"↯⪼⊺⇮-3537=⊺⇮6157","layer":2},{"info":"⊺⇮1142⫸⊐⊺⇮4615=⊺⇮18335","layer":3},{"info":"↩⊺⇮18335=⊺⇮-143900","layer":2},{"info":"⊺⇮6157⋥≓≎⊺⇮-143900=⊺⇮-293924","layer":1},{"info":"↥⊺⇮-293924=⊺⇮40","layer":0}]}
{"id":327,"expression_no_base_symbol":"≉($4537$⪮%⊝$5174$-$3015$⨸⪁$1740$)⨓(($1103$⪄$1572$)⨽($3816$⊦⊿))","expression":"≉(⊺⇮4537⪮%⊝⊺⇮5174-⊺⇮3015⨸⪁⊺⇮1740)⨓((⊺⇮1103⪄⊺⇮1572)⨽(⊺⇮3816⊦⊿))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":165752,"operation_count":8,"complexity_ratio":20719.0,"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":4537,"base":10},"right_expr":{"type":"numeric_atoms","value":5174,"base":10}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3015,"base":10},"right_expr":{"type":"numeric_atoms","value":1740,"base":10}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1103,"base":10},"right_expr":{"type":"numeric_atoms","value":1572,"base":10}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":3816,"base":10}}}}},"used_operators":["e1ybzncUwg","3ViojmjbAp","rysDP5nf3Z","IWmyXbctLI","g55IO6H4Gj","8HhzD0ZcuI","SUmda5xLS4","14qkJME0vr"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4537","layer":4},{"info":"number node, value=5174","layer":4},{"info":"compute binary expreesion, left_input=4537, right_input=5174, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=9390","layer":3},{"info":"number node, value=3015","layer":4},{"info":"number node, value=1740","layer":4},{"info":"compute binary expreesion, left_input=3015, right_input=1740, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9510","layer":3},{"info":"compute binary expreesion, left_input=9390, right_input=9510, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-120","layer":2},{"info":"number node, value=1103","layer":4},{"info":"number node, value=1572","layer":4},{"info":"compute binary expreesion, left_input=1103, right_input=1572, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-165621","layer":3},{"info":"number node, value=3816","layer":4},{"info":"compute unary expreesion, input=3816, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-11527","layer":3},{"info":"compute binary expreesion, left_input=-165621, right_input=-11527, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":2},{"info":"compute binary expreesion, left_input=-120, right_input=-inf, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"≉(⊺⇮4537⪮%⊝⊺⇮5174-⊺⇮3015⨸⪁⊺⇮1740)⨓((⊺⇮1103⪄⊺⇮1572)⨽(⊺⇮3816⊦⊿))=NaN","reverse_text":"NaN=≉(⊺⇮4537⪮%⊝⊺⇮5174-⊺⇮3015⨸⪁⊺⇮1740)⨓((⊺⇮1103⪄⊺⇮1572)⨽(⊺⇮3816⊦⊿))","cot":[{"info":"⊺⇮4537⪮%⊝⊺⇮5174=⊺⇮9390","layer":3},{"info":"⊺⇮3015⨸⪁⊺⇮1740=⊺⇮9510","layer":3},{"info":"⊺⇮9390-⊺⇮9510=⊺⇮-120","layer":2},{"info":"⊺⇮1103⪄⊺⇮1572=⊺⇮-165621","layer":3},{"info":"⊺⇮3816⊦⊿=⊺⇮-11527","layer":3},{"info":"⊺⇮-165621⨽⊺⇮-11527=-Inf","layer":2},{"info":"⊺⇮-120⨓-Inf=NaN","layer":1},{"info":"≉NaN=NaN","layer":0}]}
{"id":328,"expression_no_base_symbol":"((∥⊫(⨑⩽⪐$5461$))⪛(($2552$↙$1329$)∀⇚≩$4375$≹⇙⪍$2457$))⪢((($1711$⪒$8304$)⩨($3936$∲⫓$1900$))≎⊠⪸($5535$⪢$6369$↺$2507$⨽$2557$))","expression":"((∥⊫(⨑⩽⪐⊺⇮5461))⪛((⊺⇮2552↙⊺⇮1329)∀⇚≩⊺⇮4375≹⇙⪍⊺⇮2457))⪢(((⊺⇮1711⪒⊺⇮8304)⩨(⊺⇮3936∲⫓⊺⇮1900))≎⊠⪸(⊺⇮5535⪢⊺⇮6369↺⊺⇮2507⨽⊺⇮2557))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":38227,"operation_count":14,"complexity_ratio":2730.5,"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":5461,"base":10}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2552,"base":10},"right_expr":{"type":"numeric_atoms","value":1329,"base":10}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":4375,"base":10},"right_expr":{"type":"numeric_atoms","value":2457,"base":10}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1711,"base":10},"right_expr":{"type":"numeric_atoms","value":8304,"base":10}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3936,"base":10},"right_expr":{"type":"numeric_atoms","value":1900,"base":10}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":5535,"base":10},"right_expr":{"type":"numeric_atoms","value":6369,"base":10}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2507,"base":10},"right_expr":{"type":"numeric_atoms","value":2557,"base":10}}}}},"used_operators":["dWAJyo7jo9","uFcxV4UQCh","P8v4zCKN1o","AF7qkfDlqP","LRNGc0VcxI","yyfyN0ffXY","AHs5Up7iyr","bJkvcejdHO","2DlMacCsIx","f6k1SAg4EE","i8ToyICDmI","7j4O788W3g","8HhzD0ZcuI"],"dependent_operators":["k8jYdgA6NY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","X99M06cbEe","tmPS8pqC7x","DpFCA1CohY","dWAJyo7jo9","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5461","layer":4},{"info":"compute unary expreesion, input=5461, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-5188","layer":3},{"info":"compute unary expreesion, input=-5188, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=-55","layer":2},{"info":"number node, value=2552","layer":4},{"info":"number node, value=1329","layer":4},{"info":"compute binary expreesion, left_input=2552, right_input=1329, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3987","layer":3},{"info":"number node, value=4375","layer":4},{"info":"number node, value=2457","layer":4},{"info":"compute binary expreesion, left_input=4375, right_input=2457, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=-3987, 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=-55, 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=1711","layer":4},{"info":"number node, value=8304","layer":4},{"info":"compute binary expreesion, left_input=1711, right_input=8304, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-10015","layer":3},{"info":"number node, value=3936","layer":4},{"info":"number node, value=1900","layer":4},{"info":"compute binary expreesion, left_input=3936, right_input=1900, 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=-10015, right_input=0, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":2},{"info":"number node, value=5535","layer":4},{"info":"number node, value=6369","layer":4},{"info":"compute binary expreesion, left_input=5535, right_input=6369, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=2507","layer":4},{"info":"number node, value=2557","layer":4},{"info":"compute binary expreesion, left_input=2507, right_input=2557, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-18861504","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-18861504, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-18861504","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-18861504, 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 = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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":10,"result_base":10,"text":"((∥⊫(⨑⩽⪐⊺⇮5461))⪛((⊺⇮2552↙⊺⇮1329)∀⇚≩⊺⇮4375≹⇙⪍⊺⇮2457))⪢(((⊺⇮1711⪒⊺⇮8304)⩨(⊺⇮3936∲⫓⊺⇮1900))≎⊠⪸(⊺⇮5535⪢⊺⇮6369↺⊺⇮2507⨽⊺⇮2557))=NaN","reverse_text":"NaN=((∥⊫(⨑⩽⪐⊺⇮5461))⪛((⊺⇮2552↙⊺⇮1329)∀⇚≩⊺⇮4375≹⇙⪍⊺⇮2457))⪢(((⊺⇮1711⪒⊺⇮8304)⩨(⊺⇮3936∲⫓⊺⇮1900))≎⊠⪸(⊺⇮5535⪢⊺⇮6369↺⊺⇮2507⨽⊺⇮2557))","cot":[{"info":"⨑⩽⪐⊺⇮5461=⊺⇮-5188","layer":3},{"info":"∥⊫⊺⇮-5188=⊺⇮-55","layer":2},{"info":"⊺⇮2552↙⊺⇮1329=⊺⇮-3987","layer":3},{"info":"⊺⇮4375≹⇙⪍⊺⇮2457=NaN","layer":3},{"info":"⊺⇮-3987∀⇚≩NaN=NaN","layer":2},{"info":"⊺⇮-55⪛NaN=NaN","layer":1},{"info":"⊺⇮1711⪒⊺⇮8304=⊺⇮-10015","layer":3},{"info":"⊺⇮3936∲⫓⊺⇮1900=⊺⇮0","layer":3},{"info":"⊺⇮-10015⩨⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮5535⪢⊺⇮6369=NaN","layer":3},{"info":"⊺⇮2507⨽⊺⇮2557=⊺⇮-18861504","layer":3},{"info":"NaN↺⊺⇮-18861504=⊺⇮-18861504","layer":2},{"info":"⊺⇮0≎⊠⪸⊺⇮-18861504=⊺⇮67","layer":1},{"info":"NaN⪢⊺⇮67=NaN","layer":0}]}
{"id":329,"expression_no_base_symbol":"(($1836$∸)⊘)↺(($5287$⪒$4846$)*$3081$∼$3522$)⪄(($1018$⪄$1908$)⨽$2779$∀⇚≩$3087$)⫥∨⫟(≤/$2961$⨓$3790$)","expression":"((⊺⇮1836∸)⊘)↺((⊺⇮5287⪒⊺⇮4846)*⊺⇮3081∼⊺⇮3522)⪄((⊺⇮1018⪄⊺⇮1908)⨽⊺⇮2779∀⇚≩⊺⇮3087)⫥∨⫟(≤/⊺⇮2961⨓⊺⇮3790)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":178178,"operation_count":13,"complexity_ratio":13706.0,"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":1836,"base":10}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":5287,"base":10},"right_expr":{"type":"numeric_atoms","value":4846,"base":10}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3081,"base":10},"right_expr":{"type":"numeric_atoms","value":3522,"base":10}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1018,"base":10},"right_expr":{"type":"numeric_atoms","value":1908,"base":10}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2779,"base":10},"right_expr":{"type":"numeric_atoms","value":3087,"base":10}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2961,"base":10},"right_expr":{"type":"numeric_atoms","value":3790,"base":10}}}}},"used_operators":["SUmda5xLS4","7j4O788W3g","gu96TGCTMs","o20kRiQErp","9HNa5Wba9A","f6k1SAg4EE","DyGG3AbaNP","KYD54nUTWz","8HhzD0ZcuI","LRNGc0VcxI","eLAdDNolq6","3ViojmjbAp"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","tmPS8pqC7x","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","X99M06cbEe","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"⊺⇮3979","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1836","layer":4},{"info":"compute unary expreesion, input=1836, 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=5287","layer":4},{"info":"number node, value=4846","layer":4},{"info":"compute binary expreesion, left_input=5287, right_input=4846, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-10133","layer":3},{"info":"number node, value=3081","layer":4},{"info":"number node, value=3522","layer":4},{"info":"compute binary expreesion, left_input=3081, right_input=3522, 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=-10133, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 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=1018","layer":4},{"info":"number node, value=1908","layer":4},{"info":"compute binary expreesion, left_input=1018, right_input=1908, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-154385","layer":3},{"info":"number node, value=2779","layer":4},{"info":"number node, value=3087","layer":4},{"info":"compute binary expreesion, left_input=2779, right_input=3087, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=-154385, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"number node, value=2961","layer":4},{"info":"number node, value=3790","layer":4},{"info":"compute binary expreesion, left_input=2961, right_input=3790, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3793","layer":3},{"info":"compute unary expreesion, input=-3793, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=4277","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4277, 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 = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1836∸)⊘)↺((⊺⇮5287⪒⊺⇮4846)*⊺⇮3081∼⊺⇮3522)⪄((⊺⇮1018⪄⊺⇮1908)⨽⊺⇮2779∀⇚≩⊺⇮3087)⫥∨⫟(≤/⊺⇮2961⨓⊺⇮3790)=⊺⇮3979","reverse_text":"⊺⇮3979=((⊺⇮1836∸)⊘)↺((⊺⇮5287⪒⊺⇮4846)*⊺⇮3081∼⊺⇮3522)⪄((⊺⇮1018⪄⊺⇮1908)⨽⊺⇮2779∀⇚≩⊺⇮3087)⫥∨⫟(≤/⊺⇮2961⨓⊺⇮3790)","cot":[{"info":"⊺⇮1836∸=⊺⇮177","layer":3},{"info":"⊺⇮177⊘=⊺⇮0","layer":2},{"info":"⊺⇮5287⪒⊺⇮4846=⊺⇮-10133","layer":3},{"info":"⊺⇮3081∼⊺⇮3522=NaN","layer":3},{"info":"⊺⇮-10133*NaN=NaN","layer":2},{"info":"⊺⇮0↺NaN=NaN","layer":1},{"info":"⊺⇮1018⪄⊺⇮1908=⊺⇮-154385","layer":3},{"info":"⊺⇮2779∀⇚≩⊺⇮3087=NaN","layer":3},{"info":"⊺⇮-154385⨽NaN=NaN","layer":2},{"info":"⊺⇮2961⨓⊺⇮3790=⊺⇮-3793","layer":3},{"info":"≤/⊺⇮-3793=⊺⇮4277","layer":2},{"info":"NaN⫥∨⫟⊺⇮4277=NaN","layer":1},{"info":"NaN⪄NaN=⊺⇮3979","layer":0}]}
{"id":330,"expression_no_base_symbol":"($2944$⩚⊴⇥$1424$↙$7890$⋝⋈⪟$2417$)⩚⊴⇥(($1600$⇼⇔∾$4746$)↙(⨈⫕$2025$))↺((≉$1615$)⨵⪆(↣≠⋷$3813$))⩚⊴⇥(($4244$+⇶⊼$1211$)≦≮≮)","expression":"(⊺⇮2944⩚⊴⇥⊺⇮1424↙⊺⇮7890⋝⋈⪟⊺⇮2417)⩚⊴⇥((⊺⇮1600⇼⇔∾⊺⇮4746)↙(⨈⫕⊺⇮2025))↺((≉⊺⇮1615)⨵⪆(↣≠⋷⊺⇮3813))⩚⊴⇥((⊺⇮4244+⇶⊼⊺⇮1211)≦≮≮)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":437,"operation_count":14,"complexity_ratio":31.214285714285715,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2944,"base":10},"right_expr":{"type":"numeric_atoms","value":1424,"base":10}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":7890,"base":10},"right_expr":{"type":"numeric_atoms","value":2417,"base":10}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1600,"base":10},"right_expr":{"type":"numeric_atoms","value":4746,"base":10}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2025,"base":10}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1615,"base":10}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":3813,"base":10}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4244,"base":10},"right_expr":{"type":"numeric_atoms","value":1211,"base":10}}}}},"used_operators":["7j4O788W3g","NTOWxs364D","yyfyN0ffXY","2DDjHMKMc0","tifHPKVTfV","megm06wKyl","2DQ55sFlQl","e1ybzncUwg","Asc51vEJeQ","D4vGDi5EA2","TpPTUOHfaN"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2944","layer":4},{"info":"number node, value=1424","layer":4},{"info":"compute binary expreesion, left_input=2944, right_input=1424, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4489","layer":3},{"info":"number node, value=7890","layer":4},{"info":"number node, value=2417","layer":4},{"info":"compute binary expreesion, left_input=7890, right_input=2417, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=7890","layer":3},{"info":"compute binary expreesion, left_input=-4489, right_input=7890, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4489","layer":2},{"info":"number node, value=1600","layer":4},{"info":"number node, value=4746","layer":4},{"info":"compute binary expreesion, left_input=1600, right_input=4746, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=3146","layer":3},{"info":"number node, value=2025","layer":4},{"info":"compute unary expreesion, input=2025, 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=3146, right_input=-21, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-63","layer":2},{"info":"compute binary expreesion, left_input=-4489, right_input=-63, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=4431","layer":1},{"info":"number node, value=1615","layer":4},{"info":"compute unary expreesion, input=1615, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2146","layer":3},{"info":"number node, value=3813","layer":4},{"info":"compute unary expreesion, input=3813, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2146, 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=4244","layer":4},{"info":"number node, value=1211","layer":4},{"info":"compute binary expreesion, left_input=4244, right_input=1211, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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 = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=4431, 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":10,"result_base":10,"text":"(⊺⇮2944⩚⊴⇥⊺⇮1424↙⊺⇮7890⋝⋈⪟⊺⇮2417)⩚⊴⇥((⊺⇮1600⇼⇔∾⊺⇮4746)↙(⨈⫕⊺⇮2025))↺((≉⊺⇮1615)⨵⪆(↣≠⋷⊺⇮3813))⩚⊴⇥((⊺⇮4244+⇶⊼⊺⇮1211)≦≮≮)=NaN","reverse_text":"NaN=(⊺⇮2944⩚⊴⇥⊺⇮1424↙⊺⇮7890⋝⋈⪟⊺⇮2417)⩚⊴⇥((⊺⇮1600⇼⇔∾⊺⇮4746)↙(⨈⫕⊺⇮2025))↺((≉⊺⇮1615)⨵⪆(↣≠⋷⊺⇮3813))⩚⊴⇥((⊺⇮4244+⇶⊼⊺⇮1211)≦≮≮)","cot":[{"info":"⊺⇮2944⩚⊴⇥⊺⇮1424=⊺⇮-4489","layer":3},{"info":"⊺⇮7890⋝⋈⪟⊺⇮2417=⊺⇮7890","layer":3},{"info":"⊺⇮-4489↙⊺⇮7890=⊺⇮-4489","layer":2},{"info":"⊺⇮1600⇼⇔∾⊺⇮4746=⊺⇮3146","layer":3},{"info":"⨈⫕⊺⇮2025=⊺⇮-21","layer":3},{"info":"⊺⇮3146↙⊺⇮-21=⊺⇮-63","layer":2},{"info":"⊺⇮-4489⩚⊴⇥⊺⇮-63=⊺⇮4431","layer":1},{"info":"≉⊺⇮1615=⊺⇮2146","layer":3},{"info":"↣≠⋷⊺⇮3813=NaN","layer":3},{"info":"⊺⇮2146⨵⪆NaN=⊺⇮160","layer":2},{"info":"⊺⇮4244+⇶⊼⊺⇮1211=NaN","layer":3},{"info":"NaN≦≮≮=NaN","layer":2},{"info":"⊺⇮160⩚⊴⇥NaN=NaN","layer":1},{"info":"⊺⇮4431↺NaN=NaN","layer":0}]}
{"id":331,"expression_no_base_symbol":"(+⊝⨔(-$3546$))⊉≛↸(↯⪼$2526$)⋝⋈⪟($5856$⋳⪒$4599$)%(⨰⫟⨤$2562$)⨰($5439$⊭↱$1600$)⨐⩸⫘((⊙↵-$2056$)↙(↣≠⋷$5779$))","expression":"(+⊝⨔(-⊺⇮3546))⊉≛↸(↯⪼⊺⇮2526)⋝⋈⪟(⊺⇮5856⋳⪒⊺⇮4599)%(⨰⫟⨤⊺⇮2562)⨰(⊺⇮5439⊭↱⊺⇮1600)⨐⩸⫘((⊙↵-⊺⇮2056)↙(↣≠⋷⊺⇮5779))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":12358,"operation_count":14,"complexity_ratio":882.7142857142857,"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":3546,"base":10}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2526,"base":10}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":5856,"base":10},"right_expr":{"type":"numeric_atoms","value":4599,"base":10}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2562,"base":10}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":5439,"base":10},"right_expr":{"type":"numeric_atoms","value":1600,"base":10}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2056,"base":10}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":5779,"base":10}}}}},"used_operators":["k8jYdgA6NY","DZ8iAZOCBD","DhbWaqg5eL","t8gj7n24qd","2DDjHMKMc0","8jW3W4yZS5","12rbrZMWeM","fu6greOZ01","eewbuw0ToL","Tw270M8GLb","COABgblf1C","yyfyN0ffXY","oWn0xqSxBt","Asc51vEJeQ"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","XhwjNDsVaA","AHs5Up7iyr"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3546","layer":4},{"info":"compute unary expreesion, input=3546, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-3546","layer":3},{"info":"compute unary expreesion, input=-3546, 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=2526","layer":4},{"info":"compute unary expreesion, input=2526, 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=5856","layer":4},{"info":"number node, value=4599","layer":4},{"info":"compute binary expreesion, left_input=5856, right_input=4599, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=6826","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=6826, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-21","layer":2},{"info":"compute binary expreesion, left_input=1522, right_input=-21, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3044","layer":1},{"info":"number node, value=2562","layer":4},{"info":"compute unary expreesion, input=2562, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=5439","layer":4},{"info":"number node, value=1600","layer":4},{"info":"compute binary expreesion, left_input=5439, right_input=1600, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-7673","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-7673, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"number node, value=2056","layer":4},{"info":"compute unary expreesion, input=2056, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=5779","layer":4},{"info":"compute unary expreesion, input=5779, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-1","layer":2},{"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":1},{"info":"compute binary expreesion, left_input=3044, right_input=4, op_id = k8jYdgA6NY binary_op_definition= 'None', output=0","layer":0}],"base":10,"result_base":10,"text":"(+⊝⨔(-⊺⇮3546))⊉≛↸(↯⪼⊺⇮2526)⋝⋈⪟(⊺⇮5856⋳⪒⊺⇮4599)%(⨰⫟⨤⊺⇮2562)⨰(⊺⇮5439⊭↱⊺⇮1600)⨐⩸⫘((⊙↵-⊺⇮2056)↙(↣≠⋷⊺⇮5779))=⊺⇮0","reverse_text":"⊺⇮0=(+⊝⨔(-⊺⇮3546))⊉≛↸(↯⪼⊺⇮2526)⋝⋈⪟(⊺⇮5856⋳⪒⊺⇮4599)%(⨰⫟⨤⊺⇮2562)⨰(⊺⇮5439⊭↱⊺⇮1600)⨐⩸⫘((⊙↵-⊺⇮2056)↙(↣≠⋷⊺⇮5779))","cot":[{"info":"-⊺⇮3546=⊺⇮-3546","layer":3},{"info":"+⊝⨔⊺⇮-3546=⊺⇮1522","layer":2},{"info":"↯⪼⊺⇮2526=⊺⇮-21","layer":3},{"info":"⊺⇮5856⋳⪒⊺⇮4599=⊺⇮6826","layer":3},{"info":"⊺⇮-21⋝⋈⪟⊺⇮6826=⊺⇮-21","layer":2},{"info":"⊺⇮1522⊉≛↸⊺⇮-21=⊺⇮3044","layer":1},{"info":"⨰⫟⨤⊺⇮2562=NaN","layer":3},{"info":"⊺⇮5439⊭↱⊺⇮1600=⊺⇮-7673","layer":3},{"info":"NaN⨰⊺⇮-7673=NaN","layer":2},{"info":"⊙↵-⊺⇮2056=⊺⇮-1","layer":3},{"info":"↣≠⋷⊺⇮5779=NaN","layer":3},{"info":"⊺⇮-1↙NaN=⊺⇮-1","layer":2},{"info":"NaN⨐⩸⫘⊺⇮-1=⊺⇮4","layer":1},{"info":"⊺⇮3044%⊺⇮4=⊺⇮0","layer":0}]}
{"id":332,"expression_no_base_symbol":"$3289$⨓$1005$⋝⋈⪟$5211$⨪↰⇹$3195$⊉≛↸(∂($2297$⋝⋈⪟$2007$))⇼⇔∾(($1974$⋷$3526$)⇼⇔∾($1412$⊭↱$3136$))↬(($2195$⋥≓≎$3840$)≦≮≮)","expression":"⊺⇮3289⨓⊺⇮1005⋝⋈⪟⊺⇮5211⨪↰⇹⊺⇮3195⊉≛↸(∂(⊺⇮2297⋝⋈⪟⊺⇮2007))⇼⇔∾((⊺⇮1974⋷⊺⇮3526)⇼⇔∾(⊺⇮1412⊭↱⊺⇮3136))↬((⊺⇮2195⋥≓≎⊺⇮3840)≦≮≮)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":6254,"operation_count":13,"complexity_ratio":481.0769230769231,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3289,"base":10},"right_expr":{"type":"numeric_atoms","value":1005,"base":10}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":5211,"base":10},"right_expr":{"type":"numeric_atoms","value":3195,"base":10}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2297,"base":10},"right_expr":{"type":"numeric_atoms","value":2007,"base":10}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1974,"base":10},"right_expr":{"type":"numeric_atoms","value":3526,"base":10}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1412,"base":10},"right_expr":{"type":"numeric_atoms","value":3136,"base":10}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2195,"base":10},"right_expr":{"type":"numeric_atoms","value":3840,"base":10}}}}},"used_operators":["tifHPKVTfV","DZ8iAZOCBD","2DDjHMKMc0","3ViojmjbAp","tmPS8pqC7x","Uaa54Peajs","B5M0gjZbta","23Mk6UjR3U","COABgblf1C","D4vGDi5EA2","Qy55tPpLXF"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rJVOvQCfKK","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3289","layer":4},{"info":"number node, value=1005","layer":4},{"info":"compute binary expreesion, left_input=3289, right_input=1005, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1008","layer":3},{"info":"number node, value=5211","layer":4},{"info":"number node, value=3195","layer":4},{"info":"compute binary expreesion, left_input=5211, right_input=3195, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=5211","layer":3},{"info":"compute binary expreesion, left_input=-1008, right_input=5211, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-1008","layer":2},{"info":"number node, value=2297","layer":4},{"info":"number node, value=2007","layer":4},{"info":"compute binary expreesion, left_input=2297, right_input=2007, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2297","layer":3},{"info":"compute unary expreesion, input=2297, 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=-1008, 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=1974","layer":4},{"info":"number node, value=3526","layer":4},{"info":"compute binary expreesion, left_input=1974, right_input=3526, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=5078","layer":3},{"info":"number node, value=1412","layer":4},{"info":"number node, value=3136","layer":4},{"info":"compute binary expreesion, left_input=1412, right_input=3136, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=3453","layer":3},{"info":"compute binary expreesion, left_input=5078, right_input=3453, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1625","layer":2},{"info":"number node, value=2195","layer":4},{"info":"number node, value=3840","layer":4},{"info":"compute binary expreesion, left_input=2195, right_input=3840, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=5518","layer":3},{"info":"compute unary expreesion, input=5518, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-16554","layer":2},{"info":"compute binary expreesion, left_input=-1625, right_input=-16554, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⊺⇮3289⨓⊺⇮1005⋝⋈⪟⊺⇮5211⨪↰⇹⊺⇮3195⊉≛↸(∂(⊺⇮2297⋝⋈⪟⊺⇮2007))⇼⇔∾((⊺⇮1974⋷⊺⇮3526)⇼⇔∾(⊺⇮1412⊭↱⊺⇮3136))↬((⊺⇮2195⋥≓≎⊺⇮3840)≦≮≮)=NaN","reverse_text":"NaN=⊺⇮3289⨓⊺⇮1005⋝⋈⪟⊺⇮5211⨪↰⇹⊺⇮3195⊉≛↸(∂(⊺⇮2297⋝⋈⪟⊺⇮2007))⇼⇔∾((⊺⇮1974⋷⊺⇮3526)⇼⇔∾(⊺⇮1412⊭↱⊺⇮3136))↬((⊺⇮2195⋥≓≎⊺⇮3840)≦≮≮)","cot":[{"info":"⊺⇮3289⨓⊺⇮1005=⊺⇮-1008","layer":3},{"info":"⊺⇮5211⨪↰⇹⊺⇮3195=⊺⇮5211","layer":3},{"info":"⊺⇮-1008⋝⋈⪟⊺⇮5211=⊺⇮-1008","layer":2},{"info":"⊺⇮2297⋝⋈⪟⊺⇮2007=⊺⇮2297","layer":3},{"info":"∂⊺⇮2297=NaN","layer":2},{"info":"⊺⇮-1008⊉≛↸NaN=NaN","layer":1},{"info":"⊺⇮1974⋷⊺⇮3526=⊺⇮5078","layer":3},{"info":"⊺⇮1412⊭↱⊺⇮3136=⊺⇮3453","layer":3},{"info":"⊺⇮5078⇼⇔∾⊺⇮3453=⊺⇮-1625","layer":2},{"info":"⊺⇮2195⋥≓≎⊺⇮3840=⊺⇮5518","layer":3},{"info":"⊺⇮5518≦≮≮=⊺⇮-16554","layer":2},{"info":"⊺⇮-1625↬⊺⇮-16554=NaN","layer":1},{"info":"NaN⇼⇔∾NaN=NaN","layer":0}]}
{"id":333,"expression_no_base_symbol":"((≤/($1169$⪨≂$1597$))⨸⪁(↥(⫛⫱⨽$1108$)))≎⊠⪸((⩦⩻⨪$3653$⪛$1383$)%($1921$⨽$6752$)⨽$3737$⨎$6929$)","expression":"((≤/(⊺⇮1169⪨≂⊺⇮1597))⨸⪁(↥(⫛⫱⨽⊺⇮1108)))≎⊠⪸((⩦⩻⨪⊺⇮3653⪛⊺⇮1383)%(⊺⇮1921⨽⊺⇮6752)⨽⊺⇮3737⨎⊺⇮6929)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":11093057,"operation_count":12,"complexity_ratio":924421.4166666666,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1169,"base":10},"right_expr":{"type":"numeric_atoms","value":1597,"base":10}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1108,"base":10}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3653,"base":10},"right_expr":{"type":"numeric_atoms","value":1383,"base":10}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1921,"base":10},"right_expr":{"type":"numeric_atoms","value":6752,"base":10}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3737,"base":10},"right_expr":{"type":"numeric_atoms","value":6929,"base":10}}}}},"used_operators":["bJkvcejdHO","g55IO6H4Gj","eLAdDNolq6","sdazOOVcIp","A8NUZmVepG","DlLNRPXxWL","k8jYdgA6NY","2td37pGCOC","uFcxV4UQCh","8HhzD0ZcuI","rJVOvQCfKK"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","rGHVDoGpnC","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⊺⇮67","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1169","layer":4},{"info":"number node, value=1597","layer":4},{"info":"compute binary expreesion, left_input=1169, right_input=1597, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-754","layer":3},{"info":"compute unary expreesion, input=-754, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=1238","layer":2},{"info":"number node, value=1108","layer":4},{"info":"compute unary expreesion, input=1108, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=1238, right_input=0, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=2476","layer":1},{"info":"number node, value=3653","layer":4},{"info":"number node, value=1383","layer":4},{"info":"compute binary expreesion, left_input=3653, right_input=1383, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=887","layer":3},{"info":"compute unary expreesion, input=887, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=887","layer":2},{"info":"number node, value=1921","layer":4},{"info":"number node, value=6752","layer":4},{"info":"compute binary expreesion, left_input=1921, right_input=6752, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-11089665","layer":3},{"info":"number node, value=3737","layer":4},{"info":"number node, value=6929","layer":4},{"info":"compute binary expreesion, left_input=3737, right_input=6929, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=6929","layer":3},{"info":"compute binary expreesion, left_input=-11089665, right_input=6929, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":2},{"info":"compute binary expreesion, left_input=887, right_input=-inf, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-inf","layer":1},{"info":"compute binary expreesion, left_input=2476, right_input=-inf, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":10,"result_base":10,"text":"((≤/(⊺⇮1169⪨≂⊺⇮1597))⨸⪁(↥(⫛⫱⨽⊺⇮1108)))≎⊠⪸((⩦⩻⨪⊺⇮3653⪛⊺⇮1383)%(⊺⇮1921⨽⊺⇮6752)⨽⊺⇮3737⨎⊺⇮6929)=⊺⇮67","reverse_text":"⊺⇮67=((≤/(⊺⇮1169⪨≂⊺⇮1597))⨸⪁(↥(⫛⫱⨽⊺⇮1108)))≎⊠⪸((⩦⩻⨪⊺⇮3653⪛⊺⇮1383)%(⊺⇮1921⨽⊺⇮6752)⨽⊺⇮3737⨎⊺⇮6929)","cot":[{"info":"⊺⇮1169⪨≂⊺⇮1597=⊺⇮-754","layer":3},{"info":"≤/⊺⇮-754=⊺⇮1238","layer":2},{"info":"⫛⫱⨽⊺⇮1108=⊺⇮0","layer":3},{"info":"↥⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮1238⨸⪁⊺⇮0=⊺⇮2476","layer":1},{"info":"⊺⇮3653⪛⊺⇮1383=⊺⇮887","layer":3},{"info":"⩦⩻⨪⊺⇮887=⊺⇮887","layer":2},{"info":"⊺⇮1921⨽⊺⇮6752=⊺⇮-11089665","layer":3},{"info":"⊺⇮3737⨎⊺⇮6929=⊺⇮6929","layer":3},{"info":"⊺⇮-11089665⨽⊺⇮6929=-Inf","layer":2},{"info":"⊺⇮887%-Inf=-Inf","layer":1},{"info":"⊺⇮2476≎⊠⪸-Inf=⊺⇮67","layer":0}]}
{"id":334,"expression_no_base_symbol":"(($1160$⩚⊴⇥$2107$)≧⫂∧($6599$⫸⊐$3059$)-($1346$⩠)⨰($4748$⩠))⪐","expression":"((⊺⇮1160⩚⊴⇥⊺⇮2107)≧⫂∧(⊺⇮6599⫸⊐⊺⇮3059)-(⊺⇮1346⩠)⨰(⊺⇮4748⩠))⪐","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":73,"operation_count":8,"complexity_ratio":9.125,"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":1160,"base":10},"right_expr":{"type":"numeric_atoms","value":2107,"base":10}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":6599,"base":10},"right_expr":{"type":"numeric_atoms","value":3059,"base":10}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1346,"base":10}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":4748,"base":10}}}}},"used_operators":["eH2TOUuTDT","rysDP5nf3Z","Ph9nP6C5qx","NTOWxs364D","mqXw5SEYmG","eewbuw0ToL","sJAwomhLZr"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"⊺⇮23256","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1160","layer":4},{"info":"number node, value=2107","layer":4},{"info":"compute binary expreesion, left_input=1160, right_input=2107, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3388","layer":3},{"info":"number node, value=6599","layer":4},{"info":"number node, value=3059","layer":4},{"info":"compute binary expreesion, left_input=6599, right_input=3059, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=12111","layer":3},{"info":"compute binary expreesion, left_input=-3388, right_input=12111, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=11638","layer":2},{"info":"number node, value=1346","layer":4},{"info":"compute unary expreesion, input=1346, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=4748","layer":4},{"info":"compute unary expreesion, input=4748, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=10","layer":2},{"info":"compute binary expreesion, left_input=11638, right_input=10, op_id = rysDP5nf3Z binary_op_definition= 'None', output=11628","layer":1},{"info":"compute unary expreesion, input=11628, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=23256","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1160⩚⊴⇥⊺⇮2107)≧⫂∧(⊺⇮6599⫸⊐⊺⇮3059)-(⊺⇮1346⩠)⨰(⊺⇮4748⩠))⪐=⊺⇮23256","reverse_text":"⊺⇮23256=((⊺⇮1160⩚⊴⇥⊺⇮2107)≧⫂∧(⊺⇮6599⫸⊐⊺⇮3059)-(⊺⇮1346⩠)⨰(⊺⇮4748⩠))⪐","cot":[{"info":"⊺⇮1160⩚⊴⇥⊺⇮2107=⊺⇮-3388","layer":3},{"info":"⊺⇮6599⫸⊐⊺⇮3059=⊺⇮12111","layer":3},{"info":"⊺⇮-3388≧⫂∧⊺⇮12111=⊺⇮11638","layer":2},{"info":"⊺⇮1346⩠=⊺⇮0","layer":3},{"info":"⊺⇮4748⩠=⊺⇮0","layer":3},{"info":"⊺⇮0⨰⊺⇮0=⊺⇮10","layer":2},{"info":"⊺⇮11638-⊺⇮10=⊺⇮11628","layer":1},{"info":"⊺⇮11628⪐=⊺⇮23256","layer":0}]}
{"id":335,"expression_no_base_symbol":"(⪲⇎(⫓⪴($2361$⫡⨏$2513$)))⫡⨏(⩦⩻⨪($2128$⩤))⨟⋌⩍($3143$⪢$4026$⨽(⨑⩽⪐$4997$))","expression":"(⪲⇎(⫓⪴(⊺⇮2361⫡⨏⊺⇮2513)))⫡⨏(⩦⩻⨪(⊺⇮2128⩤))⨟⋌⩍(⊺⇮3143⪢⊺⇮4026⨽(⨑⩽⪐⊺⇮4997))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":21675,"operation_count":10,"complexity_ratio":2167.5,"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":2361,"base":10},"right_expr":{"type":"numeric_atoms","value":2513,"base":10}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":2128,"base":10}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3143,"base":10},"right_expr":{"type":"numeric_atoms","value":4026,"base":10}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":4997,"base":10}}}}},"used_operators":["QMFrweE19q","XPYlsWDdGa","eLxqMNBOBk","rGHVDoGpnC","2td37pGCOC","Z2TMIBDE3Q","8HhzD0ZcuI","dWAJyo7jo9","AF7qkfDlqP"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2361","layer":4},{"info":"number node, value=2513","layer":4},{"info":"compute binary expreesion, left_input=2361, right_input=2513, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=17614","layer":3},{"info":"compute unary expreesion, input=17614, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=310252996","layer":2},{"info":"compute unary expreesion, input=310252996, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=620505992","layer":1},{"info":"number node, value=2128","layer":4},{"info":"compute unary expreesion, input=2128, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2128","layer":3},{"info":"compute unary expreesion, input=-2128, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-2128","layer":2},{"info":"number node, value=3143","layer":4},{"info":"number node, value=4026","layer":4},{"info":"compute binary expreesion, left_input=3143, right_input=4026, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=4997","layer":4},{"info":"compute unary expreesion, input=4997, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-4724","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4724, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2128, 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=620505992, 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":10,"result_base":10,"text":"(⪲⇎(⫓⪴(⊺⇮2361⫡⨏⊺⇮2513)))⫡⨏(⩦⩻⨪(⊺⇮2128⩤))⨟⋌⩍(⊺⇮3143⪢⊺⇮4026⨽(⨑⩽⪐⊺⇮4997))=NaN","reverse_text":"NaN=(⪲⇎(⫓⪴(⊺⇮2361⫡⨏⊺⇮2513)))⫡⨏(⩦⩻⨪(⊺⇮2128⩤))⨟⋌⩍(⊺⇮3143⪢⊺⇮4026⨽(⨑⩽⪐⊺⇮4997))","cot":[{"info":"⊺⇮2361⫡⨏⊺⇮2513=⊺⇮17614","layer":3},{"info":"⫓⪴⊺⇮17614=⊺⇮310252996","layer":2},{"info":"⪲⇎⊺⇮310252996=⊺⇮620505992","layer":1},{"info":"⊺⇮2128⩤=⊺⇮-2128","layer":3},{"info":"⩦⩻⨪⊺⇮-2128=⊺⇮-2128","layer":2},{"info":"⊺⇮3143⪢⊺⇮4026=NaN","layer":3},{"info":"⨑⩽⪐⊺⇮4997=⊺⇮-4724","layer":3},{"info":"NaN⨽⊺⇮-4724=NaN","layer":2},{"info":"⊺⇮-2128⨟⋌⩍NaN=NaN","layer":1},{"info":"⊺⇮620505992⫡⨏NaN=NaN","layer":0}]}
{"id":336,"expression_no_base_symbol":"⨑⩽⪐(↽≂($5999$≎⊠⪸$1253$)↬($2043$≫≃))","expression":"⨑⩽⪐(↽≂(⊺⇮5999≎⊠⪸⊺⇮1253)↬(⊺⇮2043≫≃))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":288,"operation_count":5,"complexity_ratio":57.6,"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":5999,"base":10},"right_expr":{"type":"numeric_atoms","value":1253,"base":10}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":2043,"base":10}}}}},"used_operators":["AF7qkfDlqP","u6S6b8DprG","B5M0gjZbta","bJkvcejdHO","X99M06cbEe"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5999","layer":4},{"info":"number node, value=1253","layer":4},{"info":"compute binary expreesion, left_input=5999, right_input=1253, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1553268","layer":3},{"info":"number node, value=2043","layer":4},{"info":"compute unary expreesion, input=2043, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=5487","layer":3},{"info":"compute binary expreesion, left_input=1553268, right_input=5487, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = 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 = 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":10,"result_base":10,"text":"⨑⩽⪐(↽≂(⊺⇮5999≎⊠⪸⊺⇮1253)↬(⊺⇮2043≫≃))=NaN","reverse_text":"NaN=⨑⩽⪐(↽≂(⊺⇮5999≎⊠⪸⊺⇮1253)↬(⊺⇮2043≫≃))","cot":[{"info":"⊺⇮5999≎⊠⪸⊺⇮1253=⊺⇮1553268","layer":3},{"info":"⊺⇮2043≫≃=⊺⇮5487","layer":3},{"info":"⊺⇮1553268↬⊺⇮5487=NaN","layer":2},{"info":"↽≂NaN=NaN","layer":1},{"info":"⨑⩽⪐NaN=NaN","layer":0}]}
{"id":337,"expression_no_base_symbol":"(⊄⩳↩(($4372$≧⫂∧$2412$)⊪))⪛(($2572$⪄$4358$)⨽($1279$↺$8611$))⊴($1562$⨰$9560$-$4420$⪮%⊝$5095$)","expression":"(⊄⩳↩((⊺⇮4372≧⫂∧⊺⇮2412)⊪))⪛((⊺⇮2572⪄⊺⇮4358)⨽(⊺⇮1279↺⊺⇮8611))⊴(⊺⇮1562⨰⊺⇮9560-⊺⇮4420⪮%⊝⊺⇮5095)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":411490,"operation_count":11,"complexity_ratio":37408.181818181816,"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":4372,"base":10},"right_expr":{"type":"numeric_atoms","value":2412,"base":10}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2572,"base":10},"right_expr":{"type":"numeric_atoms","value":4358,"base":10}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1279,"base":10},"right_expr":{"type":"numeric_atoms","value":8611,"base":10}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1562,"base":10},"right_expr":{"type":"numeric_atoms","value":9560,"base":10}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4420,"base":10},"right_expr":{"type":"numeric_atoms","value":5095,"base":10}}}}},"used_operators":["uFcxV4UQCh","8w2t5hMYqp","zVYPLywUTj","Ph9nP6C5qx","Nsiff2A1zJ","8HhzD0ZcuI","SUmda5xLS4","7j4O788W3g","rysDP5nf3Z","eewbuw0ToL","IWmyXbctLI"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4372","layer":4},{"info":"number node, value=2412","layer":4},{"info":"compute binary expreesion, left_input=4372, right_input=2412, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1939","layer":3},{"info":"compute unary expreesion, input=1939, 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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=0","layer":1},{"info":"number node, value=2572","layer":4},{"info":"number node, value=4358","layer":4},{"info":"compute binary expreesion, left_input=2572, right_input=4358, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-394177","layer":3},{"info":"number node, value=1279","layer":4},{"info":"number node, value=8611","layer":4},{"info":"compute binary expreesion, left_input=1279, right_input=8611, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=8611","layer":3},{"info":"compute binary expreesion, left_input=-394177, right_input=8611, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":2},{"info":"number node, value=1562","layer":4},{"info":"number node, value=9560","layer":4},{"info":"compute binary expreesion, left_input=1562, right_input=9560, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-7988","layer":3},{"info":"number node, value=4420","layer":4},{"info":"number node, value=5095","layer":4},{"info":"compute binary expreesion, left_input=4420, right_input=5095, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=9156","layer":3},{"info":"compute binary expreesion, left_input=-7988, right_input=9156, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-17144","layer":2},{"info":"compute binary expreesion, left_input=-inf, right_input=-17144, 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 = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊄⩳↩((⊺⇮4372≧⫂∧⊺⇮2412)⊪))⪛((⊺⇮2572⪄⊺⇮4358)⨽(⊺⇮1279↺⊺⇮8611))⊴(⊺⇮1562⨰⊺⇮9560-⊺⇮4420⪮%⊝⊺⇮5095)=NaN","reverse_text":"NaN=(⊄⩳↩((⊺⇮4372≧⫂∧⊺⇮2412)⊪))⪛((⊺⇮2572⪄⊺⇮4358)⨽(⊺⇮1279↺⊺⇮8611))⊴(⊺⇮1562⨰⊺⇮9560-⊺⇮4420⪮%⊝⊺⇮5095)","cot":[{"info":"⊺⇮4372≧⫂∧⊺⇮2412=⊺⇮1939","layer":3},{"info":"⊺⇮1939⊪=⊺⇮0","layer":2},{"info":"⊄⩳↩⊺⇮0=⊺⇮0","layer":1},{"info":"⊺⇮2572⪄⊺⇮4358=⊺⇮-394177","layer":3},{"info":"⊺⇮1279↺⊺⇮8611=⊺⇮8611","layer":3},{"info":"⊺⇮-394177⨽⊺⇮8611=-Inf","layer":2},{"info":"⊺⇮1562⨰⊺⇮9560=⊺⇮-7988","layer":3},{"info":"⊺⇮4420⪮%⊝⊺⇮5095=⊺⇮9156","layer":3},{"info":"⊺⇮-7988-⊺⇮9156=⊺⇮-17144","layer":2},{"info":"-Inf⊴⊺⇮-17144=NaN","layer":1},{"info":"⊺⇮0⪛NaN=NaN","layer":0}]}
{"id":338,"expression_no_base_symbol":"(⫓⪴(↔$3223$)⇷($2627$∑⇟⊟$1655$))⋓(($5930$/$3945$)⪢($1475$⋷$5738$)≎⊠⪸($1513$≎⊠⪸$6096$⋷($4690$⩠)))","expression":"(⫓⪴(↔⊺⇮3223)⇷(⊺⇮2627∑⇟⊟⊺⇮1655))⋓((⊺⇮5930/⊺⇮3945)⪢(⊺⇮1475⋷⊺⇮5738)≎⊠⪸(⊺⇮1513≎⊠⪸⊺⇮6096⋷(⊺⇮4690⩠)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":51635,"operation_count":12,"complexity_ratio":4302.916666666667,"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":3223,"base":10}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2627,"base":10},"right_expr":{"type":"numeric_atoms","value":1655,"base":10}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":5930,"base":10},"right_expr":{"type":"numeric_atoms","value":3945,"base":10}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1475,"base":10},"right_expr":{"type":"numeric_atoms","value":5738,"base":10}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1513,"base":10},"right_expr":{"type":"numeric_atoms","value":6096,"base":10}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":4690,"base":10}}}}},"used_operators":["T2fj7uvVaJ","eLxqMNBOBk","mp7IySMOzn","ruOEQAzv1W","U7g4x0WXJJ","bJkvcejdHO","dWAJyo7jo9","XhwjNDsVaA","23Mk6UjR3U","sJAwomhLZr"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9HNa5Wba9A","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3223","layer":4},{"info":"compute unary expreesion, input=3223, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2950","layer":3},{"info":"number node, value=2627","layer":4},{"info":"number node, value=1655","layer":4},{"info":"compute binary expreesion, left_input=2627, right_input=1655, 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=-2950, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":1},{"info":"number node, value=5930","layer":4},{"info":"number node, value=3945","layer":4},{"info":"compute binary expreesion, left_input=5930, right_input=3945, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"number node, value=1475","layer":4},{"info":"number node, value=5738","layer":4},{"info":"compute binary expreesion, left_input=1475, right_input=5738, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=10001","layer":3},{"info":"compute binary expreesion, left_input=1, right_input=10001, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1513","layer":4},{"info":"number node, value=6096","layer":4},{"info":"compute binary expreesion, left_input=1513, right_input=6096, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=391394","layer":3},{"info":"number node, value=4690","layer":4},{"info":"compute unary expreesion, input=4690, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=391394, right_input=0, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-391394","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-391394, 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 = T2fj7uvVaJ binary_op_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":10,"result_base":10,"text":"(⫓⪴(↔⊺⇮3223)⇷(⊺⇮2627∑⇟⊟⊺⇮1655))⋓((⊺⇮5930/⊺⇮3945)⪢(⊺⇮1475⋷⊺⇮5738)≎⊠⪸(⊺⇮1513≎⊠⪸⊺⇮6096⋷(⊺⇮4690⩠)))=⊺⇮0","reverse_text":"⊺⇮0=(⫓⪴(↔⊺⇮3223)⇷(⊺⇮2627∑⇟⊟⊺⇮1655))⋓((⊺⇮5930/⊺⇮3945)⪢(⊺⇮1475⋷⊺⇮5738)≎⊠⪸(⊺⇮1513≎⊠⪸⊺⇮6096⋷(⊺⇮4690⩠)))","cot":[{"info":"↔⊺⇮3223=⊺⇮-2950","layer":3},{"info":"⊺⇮2627∑⇟⊟⊺⇮1655=NaN","layer":3},{"info":"⊺⇮-2950⇷NaN=NaN","layer":2},{"info":"⫓⪴NaN=NaN","layer":1},{"info":"⊺⇮5930/⊺⇮3945=⊺⇮1","layer":3},{"info":"⊺⇮1475⋷⊺⇮5738=⊺⇮10001","layer":3},{"info":"⊺⇮1⪢⊺⇮10001=NaN","layer":2},{"info":"⊺⇮1513≎⊠⪸⊺⇮6096=⊺⇮391394","layer":3},{"info":"⊺⇮4690⩠=⊺⇮0","layer":3},{"info":"⊺⇮391394⋷⊺⇮0=⊺⇮-391394","layer":2},{"info":"NaN≎⊠⪸⊺⇮-391394=⊺⇮67","layer":1},{"info":"NaN⋓⊺⇮67=⊺⇮0","layer":0}]}
{"id":339,"expression_no_base_symbol":"(↯⪼((↥$5278$)≧⫂∧($1892$-$2757$)))⪮%⊝(((⇁⨣⪵$3198$)⪐)≭(⇁⨣⪵($1065$+$4874$)))","expression":"(↯⪼((↥⊺⇮5278)≧⫂∧(⊺⇮1892-⊺⇮2757)))⪮%⊝(((⇁⨣⪵⊺⇮3198)⪐)≭(⇁⨣⪵(⊺⇮1065+⊺⇮4874)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":152,"operation_count":10,"complexity_ratio":15.2,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":5278,"base":10}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1892,"base":10},"right_expr":{"type":"numeric_atoms","value":2757,"base":10}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":3198,"base":10}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1065,"base":10},"right_expr":{"type":"numeric_atoms","value":4874,"base":10}}}}},"used_operators":["IWmyXbctLI","8jW3W4yZS5","Ph9nP6C5qx","A8NUZmVepG","rysDP5nf3Z","rxpJgHHUmx","eH2TOUuTDT","inkyxCbjAn","W4YGzv6Whe"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=5278","layer":4},{"info":"compute unary expreesion, input=5278, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=25","layer":3},{"info":"number node, value=1892","layer":4},{"info":"number node, value=2757","layer":4},{"info":"compute binary expreesion, left_input=1892, right_input=2757, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-865","layer":3},{"info":"compute binary expreesion, left_input=25, right_input=-865, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=890","layer":2},{"info":"compute unary expreesion, input=890, 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=3198","layer":4},{"info":"compute unary expreesion, input=3198, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":2},{"info":"number node, value=1065","layer":4},{"info":"number node, value=4874","layer":4},{"info":"compute binary expreesion, left_input=1065, right_input=4874, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5939","layer":3},{"info":"compute unary expreesion, input=5939, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(↯⪼((↥⊺⇮5278)≧⫂∧(⊺⇮1892-⊺⇮2757)))⪮%⊝(((⇁⨣⪵⊺⇮3198)⪐)≭(⇁⨣⪵(⊺⇮1065+⊺⇮4874)))=NaN","reverse_text":"NaN=(↯⪼((↥⊺⇮5278)≧⫂∧(⊺⇮1892-⊺⇮2757)))⪮%⊝(((⇁⨣⪵⊺⇮3198)⪐)≭(⇁⨣⪵(⊺⇮1065+⊺⇮4874)))","cot":[{"info":"↥⊺⇮5278=⊺⇮25","layer":3},{"info":"⊺⇮1892-⊺⇮2757=⊺⇮-865","layer":3},{"info":"⊺⇮25≧⫂∧⊺⇮-865=⊺⇮890","layer":2},{"info":"↯⪼⊺⇮890=⊺⇮-21","layer":1},{"info":"⇁⨣⪵⊺⇮3198=NaN","layer":3},{"info":"NaN⪐=NaN","layer":2},{"info":"⊺⇮1065+⊺⇮4874=⊺⇮5939","layer":3},{"info":"⇁⨣⪵⊺⇮5939=NaN","layer":2},{"info":"NaN≭NaN=NaN","layer":1},{"info":"⊺⇮-21⪮%⊝NaN=NaN","layer":0}]}
{"id":340,"expression_no_base_symbol":"((⇁⨣⪵$1900$)⊘)⪘⫢($1573$⊭↱$1763$*$2009$⋓$3042$)⋫","expression":"((⇁⨣⪵⊺⇮1900)⊘)⪘⫢(⊺⇮1573⊭↱⊺⇮1763*⊺⇮2009⋓⊺⇮3042)⋫","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":52,"operation_count":7,"complexity_ratio":7.428571428571429,"tree":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1900,"base":10}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1573,"base":10},"right_expr":{"type":"numeric_atoms","value":1763,"base":10}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2009,"base":10},"right_expr":{"type":"numeric_atoms","value":3042,"base":10}}}}},"used_operators":["JL8yIekQnl","oacrs7FA3X","gu96TGCTMs","inkyxCbjAn","9HNa5Wba9A","COABgblf1C","T2fj7uvVaJ"],"dependent_operators":["tmPS8pqC7x","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","B5M0gjZbta","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=1900","layer":4},{"info":"compute unary expreesion, input=1900, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬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=1573","layer":4},{"info":"number node, value=1763","layer":4},{"info":"compute binary expreesion, left_input=1573, right_input=1763, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=385","layer":3},{"info":"number node, value=2009","layer":4},{"info":"number node, value=3042","layer":4},{"info":"compute binary expreesion, left_input=2009, right_input=3042, op_id = T2fj7uvVaJ binary_op_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=385, right_input=0, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⇁⨣⪵⊺⇮1900)⊘)⪘⫢(⊺⇮1573⊭↱⊺⇮1763*⊺⇮2009⋓⊺⇮3042)⋫=NaN","reverse_text":"NaN=((⇁⨣⪵⊺⇮1900)⊘)⪘⫢(⊺⇮1573⊭↱⊺⇮1763*⊺⇮2009⋓⊺⇮3042)⋫","cot":[{"info":"⇁⨣⪵⊺⇮1900=NaN","layer":3},{"info":"NaN⊘=NaN","layer":2},{"info":"⊺⇮1573⊭↱⊺⇮1763=⊺⇮385","layer":3},{"info":"⊺⇮2009⋓⊺⇮3042=⊺⇮0","layer":3},{"info":"⊺⇮385*⊺⇮0=⊺⇮0","layer":2},{"info":"NaN⪘⫢⊺⇮0=NaN","layer":1},{"info":"NaN⋫=NaN","layer":0}]}
{"id":341,"expression_no_base_symbol":"(↯⪼($5459$⪢$1557$↙($3504$≣⋋)))⩨(∥⊫$1266$⪮%⊝$3526$⋓($4181$⨽$5884$))","expression":"(↯⪼(⊺⇮5459⪢⊺⇮1557↙(⊺⇮3504≣⋋)))⩨(∥⊫⊺⇮1266⪮%⊝⊺⇮3526⋓(⊺⇮4181⨽⊺⇮5884))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":19116,"operation_count":9,"complexity_ratio":2124.0,"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":5459,"base":10},"right_expr":{"type":"numeric_atoms","value":1557,"base":10}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":3504,"base":10}}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1266,"base":10},"right_expr":{"type":"numeric_atoms","value":3526,"base":10}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4181,"base":10},"right_expr":{"type":"numeric_atoms","value":5884,"base":10}}}}},"used_operators":["2DlMacCsIx","8jW3W4yZS5","yyfyN0ffXY","dWAJyo7jo9","Tcnh7f0tEr","P8v4zCKN1o","T2fj7uvVaJ","IWmyXbctLI","8HhzD0ZcuI"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","tmPS8pqC7x","DpFCA1CohY","k8jYdgA6NY","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"⊺⇮126","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5459","layer":4},{"info":"number node, value=1557","layer":4},{"info":"compute binary expreesion, left_input=5459, right_input=1557, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=3504","layer":4},{"info":"compute unary expreesion, input=3504, 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 = 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 = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":1},{"info":"number node, value=1266","layer":4},{"info":"number node, value=3526","layer":4},{"info":"compute binary expreesion, left_input=1266, right_input=3526, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2848","layer":3},{"info":"number node, value=4181","layer":4},{"info":"number node, value=5884","layer":4},{"info":"compute binary expreesion, left_input=4181, right_input=5884, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-52458621","layer":3},{"info":"compute binary expreesion, left_input=2848, right_input=-52458621, op_id = T2fj7uvVaJ binary_op_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 = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=868","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=868, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=126","layer":0}],"base":10,"result_base":10,"text":"(↯⪼(⊺⇮5459⪢⊺⇮1557↙(⊺⇮3504≣⋋)))⩨(∥⊫⊺⇮1266⪮%⊝⊺⇮3526⋓(⊺⇮4181⨽⊺⇮5884))=⊺⇮126","reverse_text":"⊺⇮126=(↯⪼(⊺⇮5459⪢⊺⇮1557↙(⊺⇮3504≣⋋)))⩨(∥⊫⊺⇮1266⪮%⊝⊺⇮3526⋓(⊺⇮4181⨽⊺⇮5884))","cot":[{"info":"⊺⇮5459⪢⊺⇮1557=NaN","layer":3},{"info":"⊺⇮3504≣⋋=⊺⇮0","layer":3},{"info":"NaN↙⊺⇮0=NaN","layer":2},{"info":"↯⪼NaN=⊺⇮-21","layer":1},{"info":"⊺⇮1266⪮%⊝⊺⇮3526=⊺⇮2848","layer":3},{"info":"⊺⇮4181⨽⊺⇮5884=⊺⇮-52458621","layer":3},{"info":"⊺⇮2848⋓⊺⇮-52458621=⊺⇮0","layer":2},{"info":"∥⊫⊺⇮0=⊺⇮868","layer":1},{"info":"⊺⇮-21⩨⊺⇮868=⊺⇮126","layer":0}]}
{"id":342,"expression_no_base_symbol":"($3348$⩷∴$2864$⋫)⪘⫢($6913$⪘⫢$2438$⇼⇔∾$1740$⪛$1281$)⋝⋈⪟((⨑⩽⪐$3199$)⨓($4954$↙$5703$)⫩⊇)","expression":"(⊺⇮3348⩷∴⊺⇮2864⋫)⪘⫢(⊺⇮6913⪘⫢⊺⇮2438⇼⇔∾⊺⇮1740⪛⊺⇮1281)⋝⋈⪟((⨑⩽⪐⊺⇮3199)⨓(⊺⇮4954↙⊺⇮5703)⫩⊇)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":23802,"operation_count":11,"complexity_ratio":2163.818181818182,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3348,"base":10},"right_expr":{"type":"numeric_atoms","value":2864,"base":10}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":6913,"base":10},"right_expr":{"type":"numeric_atoms","value":2438,"base":10}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1740,"base":10},"right_expr":{"type":"numeric_atoms","value":1281,"base":10}}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":3199,"base":10}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4954,"base":10},"right_expr":{"type":"numeric_atoms","value":5703,"base":10}}}}},"used_operators":["2DDjHMKMc0","oacrs7FA3X","JL8yIekQnl","9FxExcQeMw","tifHPKVTfV","uFcxV4UQCh","BjRHVeLaeN","3ViojmjbAp","AF7qkfDlqP","yyfyN0ffXY"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","tmPS8pqC7x","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY"],"result":"⊺⇮-1","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3348","layer":4},{"info":"number node, value=2864","layer":4},{"info":"compute binary expreesion, left_input=3348, right_input=2864, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=936","layer":3},{"info":"compute unary expreesion, input=936, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=936","layer":2},{"info":"number node, value=6913","layer":4},{"info":"number node, value=2438","layer":4},{"info":"compute binary expreesion, left_input=6913, right_input=2438, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=13702","layer":3},{"info":"number node, value=1740","layer":4},{"info":"number node, value=1281","layer":4},{"info":"compute binary expreesion, left_input=1740, right_input=1281, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=459","layer":3},{"info":"compute binary expreesion, left_input=13702, right_input=459, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-13243","layer":2},{"info":"compute binary expreesion, left_input=936, right_input=-13243, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":1},{"info":"number node, value=3199","layer":4},{"info":"compute unary expreesion, input=3199, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2926","layer":3},{"info":"number node, value=4954","layer":4},{"info":"number node, value=5703","layer":4},{"info":"compute binary expreesion, left_input=4954, right_input=5703, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-17109","layer":3},{"info":"compute binary expreesion, left_input=-2926, right_input=-17109, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-17112","layer":2},{"info":"compute unary expreesion, input=-17112, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=17154","layer":1},{"info":"compute binary expreesion, left_input=-1, right_input=17154, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-1","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮3348⩷∴⊺⇮2864⋫)⪘⫢(⊺⇮6913⪘⫢⊺⇮2438⇼⇔∾⊺⇮1740⪛⊺⇮1281)⋝⋈⪟((⨑⩽⪐⊺⇮3199)⨓(⊺⇮4954↙⊺⇮5703)⫩⊇)=⊺⇮-1","reverse_text":"⊺⇮-1=(⊺⇮3348⩷∴⊺⇮2864⋫)⪘⫢(⊺⇮6913⪘⫢⊺⇮2438⇼⇔∾⊺⇮1740⪛⊺⇮1281)⋝⋈⪟((⨑⩽⪐⊺⇮3199)⨓(⊺⇮4954↙⊺⇮5703)⫩⊇)","cot":[{"info":"⊺⇮3348⩷∴⊺⇮2864=⊺⇮936","layer":3},{"info":"⊺⇮936⋫=⊺⇮936","layer":2},{"info":"⊺⇮6913⪘⫢⊺⇮2438=⊺⇮13702","layer":3},{"info":"⊺⇮1740⪛⊺⇮1281=⊺⇮459","layer":3},{"info":"⊺⇮13702⇼⇔∾⊺⇮459=⊺⇮-13243","layer":2},{"info":"⊺⇮936⪘⫢⊺⇮-13243=⊺⇮-1","layer":1},{"info":"⨑⩽⪐⊺⇮3199=⊺⇮-2926","layer":3},{"info":"⊺⇮4954↙⊺⇮5703=⊺⇮-17109","layer":3},{"info":"⊺⇮-2926⨓⊺⇮-17109=⊺⇮-17112","layer":2},{"info":"⊺⇮-17112⫩⊇=⊺⇮17154","layer":1},{"info":"⊺⇮-1⋝⋈⪟⊺⇮17154=⊺⇮-1","layer":0}]}
{"id":343,"expression_no_base_symbol":"(((↩$1855$)⨳⩥⨓$1275$⨽$3571$)⪠⩆⊳)⪢(((⨵≀≌$1957$)⪒(⊙↵-$1415$))⋝⋈⪟((∥⊫$4642$)⨵⪆$7008$⪮%⊝$6529$))","expression":"(((↩⊺⇮1855)⨳⩥⨓⊺⇮1275⨽⊺⇮3571)⪠⩆⊳)⪢(((⨵≀≌⊺⇮1957)⪒(⊙↵-⊺⇮1415))⋝⋈⪟((∥⊫⊺⇮4642)⨵⪆⊺⇮7008⪮%⊝⊺⇮6529))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8665,"operation_count":12,"complexity_ratio":722.0833333333334,"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":1855,"base":10}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1275,"base":10},"right_expr":{"type":"numeric_atoms","value":3571,"base":10}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1957,"base":10}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1415,"base":10}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":4642,"base":10}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":7008,"base":10},"right_expr":{"type":"numeric_atoms","value":6529,"base":10}}}}},"used_operators":["dWAJyo7jo9","JLbD19bQDL","nCS4ZIUYfx","jLgFTUHLKL","8HhzD0ZcuI","2DDjHMKMc0","f6k1SAg4EE","srAu1WTS94","oWn0xqSxBt","2DQ55sFlQl","P8v4zCKN1o","IWmyXbctLI"],"dependent_operators":["k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1855","layer":4},{"info":"compute unary expreesion, input=1855, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-12060","layer":3},{"info":"number node, value=1275","layer":4},{"info":"number node, value=3571","layer":4},{"info":"compute binary expreesion, left_input=1275, right_input=3571, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-4886274","layer":3},{"info":"compute binary expreesion, left_input=-12060, right_input=-4886274, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-4874214","layer":2},{"info":"compute unary expreesion, input=-4874214, 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=1957","layer":4},{"info":"compute unary expreesion, input=1957, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-5871","layer":3},{"info":"number node, value=1415","layer":4},{"info":"compute unary expreesion, input=1415, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=-5871, right_input=-1, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=5872","layer":2},{"info":"number node, value=4642","layer":4},{"info":"compute unary expreesion, input=4642, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=5510","layer":3},{"info":"number node, value=7008","layer":4},{"info":"number node, value=6529","layer":4},{"info":"compute binary expreesion, left_input=7008, right_input=6529, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=14332","layer":3},{"info":"compute binary expreesion, left_input=5510, right_input=14332, 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=5872, right_input=160, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5872","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=5872, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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":10,"result_base":10,"text":"(((↩⊺⇮1855)⨳⩥⨓⊺⇮1275⨽⊺⇮3571)⪠⩆⊳)⪢(((⨵≀≌⊺⇮1957)⪒(⊙↵-⊺⇮1415))⋝⋈⪟((∥⊫⊺⇮4642)⨵⪆⊺⇮7008⪮%⊝⊺⇮6529))=NaN","reverse_text":"NaN=(((↩⊺⇮1855)⨳⩥⨓⊺⇮1275⨽⊺⇮3571)⪠⩆⊳)⪢(((⨵≀≌⊺⇮1957)⪒(⊙↵-⊺⇮1415))⋝⋈⪟((∥⊫⊺⇮4642)⨵⪆⊺⇮7008⪮%⊝⊺⇮6529))","cot":[{"info":"↩⊺⇮1855=⊺⇮-12060","layer":3},{"info":"⊺⇮1275⨽⊺⇮3571=⊺⇮-4886274","layer":3},{"info":"⊺⇮-12060⨳⩥⨓⊺⇮-4886274=⊺⇮-4874214","layer":2},{"info":"⊺⇮-4874214⪠⩆⊳=⊺⇮0","layer":1},{"info":"⨵≀≌⊺⇮1957=⊺⇮-5871","layer":3},{"info":"⊙↵-⊺⇮1415=⊺⇮-1","layer":3},{"info":"⊺⇮-5871⪒⊺⇮-1=⊺⇮5872","layer":2},{"info":"∥⊫⊺⇮4642=⊺⇮5510","layer":3},{"info":"⊺⇮7008⪮%⊝⊺⇮6529=⊺⇮14332","layer":3},{"info":"⊺⇮5510⨵⪆⊺⇮14332=⊺⇮160","layer":2},{"info":"⊺⇮5872⋝⋈⪟⊺⇮160=⊺⇮5872","layer":1},{"info":"⊺⇮0⪢⊺⇮5872=NaN","layer":0}]}
{"id":344,"expression_no_base_symbol":"(∥⊫(↔$1608$))⋝⋈⪟(⨑⩽⪐($4989$⩨$1878$))⊭↱(($5308$⨐⩸⫘$2522$)⪮%⊝($1628$≧⫂∧$2632$)≋⫹)","expression":"(∥⊫(↔⊺⇮1608))⋝⋈⪟(⨑⩽⪐(⊺⇮4989⩨⊺⇮1878))⊭↱((⊺⇮5308⨐⩸⫘⊺⇮2522)⪮%⊝(⊺⇮1628≧⫂∧⊺⇮2632)≋⫹)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":44,"operation_count":10,"complexity_ratio":4.4,"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":1608,"base":10}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4989,"base":10},"right_expr":{"type":"numeric_atoms","value":1878,"base":10}}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":5308,"base":10},"right_expr":{"type":"numeric_atoms","value":2522,"base":10}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1628,"base":10},"right_expr":{"type":"numeric_atoms","value":2632,"base":10}}}}},"used_operators":["COABgblf1C","2DDjHMKMc0","P8v4zCKN1o","ruOEQAzv1W","AF7qkfDlqP","2DlMacCsIx","N41Kp7NANJ","IWmyXbctLI","fu6greOZ01","Ph9nP6C5qx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1608","layer":4},{"info":"compute unary expreesion, input=1608, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1335","layer":3},{"info":"compute unary expreesion, input=-1335, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=-55","layer":2},{"info":"number node, value=4989","layer":4},{"info":"number node, value=1878","layer":4},{"info":"compute binary expreesion, left_input=4989, right_input=1878, 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 = 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":"compute binary expreesion, left_input=-55, right_input=789, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-55","layer":1},{"info":"number node, value=5308","layer":4},{"info":"number node, value=2522","layer":4},{"info":"compute binary expreesion, left_input=5308, right_input=2522, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=1628","layer":4},{"info":"number node, value=2632","layer":4},{"info":"compute binary expreesion, left_input=1628, right_input=2632, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2159","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2159, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢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":"compute binary expreesion, left_input=-55, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(∥⊫(↔⊺⇮1608))⋝⋈⪟(⨑⩽⪐(⊺⇮4989⩨⊺⇮1878))⊭↱((⊺⇮5308⨐⩸⫘⊺⇮2522)⪮%⊝(⊺⇮1628≧⫂∧⊺⇮2632)≋⫹)=NaN","reverse_text":"NaN=(∥⊫(↔⊺⇮1608))⋝⋈⪟(⨑⩽⪐(⊺⇮4989⩨⊺⇮1878))⊭↱((⊺⇮5308⨐⩸⫘⊺⇮2522)⪮%⊝(⊺⇮1628≧⫂∧⊺⇮2632)≋⫹)","cot":[{"info":"↔⊺⇮1608=⊺⇮-1335","layer":3},{"info":"∥⊫⊺⇮-1335=⊺⇮-55","layer":2},{"info":"⊺⇮4989⩨⊺⇮1878=⊺⇮0","layer":3},{"info":"⨑⩽⪐⊺⇮0=⊺⇮789","layer":2},{"info":"⊺⇮-55⋝⋈⪟⊺⇮789=⊺⇮-55","layer":1},{"info":"⊺⇮5308⨐⩸⫘⊺⇮2522=NaN","layer":3},{"info":"⊺⇮1628≧⫂∧⊺⇮2632=⊺⇮2159","layer":3},{"info":"NaN⪮%⊝⊺⇮2159=NaN","layer":2},{"info":"NaN≋⫹=NaN","layer":1},{"info":"⊺⇮-55⊭↱NaN=NaN","layer":0}]}
{"id":345,"expression_no_base_symbol":"(($3401$∼$5921$)⪢(⋗⩬⋾$6382$)⊦⊿)⪄($1667$⨎$4570$⪨≂$3975$⨰$1032$)⪮%⊝(↣≠⋷($3905$∲⫓$5950$))","expression":"((⊺⇮3401∼⊺⇮5921)⪢(⋗⩬⋾⊺⇮6382)⊦⊿)⪄(⊺⇮1667⨎⊺⇮4570⪨≂⊺⇮3975⨰⊺⇮1032)⪮%⊝(↣≠⋷(⊺⇮3905∲⫓⊺⇮5950))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":19270,"operation_count":11,"complexity_ratio":1751.8181818181818,"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":3401,"base":10},"right_expr":{"type":"numeric_atoms","value":5921,"base":10}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":6382,"base":10}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1667,"base":10},"right_expr":{"type":"numeric_atoms","value":4570,"base":10}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3975,"base":10},"right_expr":{"type":"numeric_atoms","value":1032,"base":10}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3905,"base":10},"right_expr":{"type":"numeric_atoms","value":5950,"base":10}}}}},"used_operators":["SUmda5xLS4","14qkJME0vr","dWAJyo7jo9","DyGG3AbaNP","DpFCA1CohY","IWmyXbctLI","sdazOOVcIp","rJVOvQCfKK","eewbuw0ToL","Asc51vEJeQ","i8ToyICDmI"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮3979","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3401","layer":4},{"info":"number node, value=5921","layer":4},{"info":"compute binary expreesion, left_input=3401, right_input=5921, 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=6382","layer":4},{"info":"compute unary expreesion, input=6382, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-19146","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-19146, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=nan","layer":1},{"info":"number node, value=1667","layer":4},{"info":"number node, value=4570","layer":4},{"info":"compute binary expreesion, left_input=1667, right_input=4570, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4570","layer":3},{"info":"number node, value=3975","layer":4},{"info":"number node, value=1032","layer":4},{"info":"compute binary expreesion, left_input=3975, right_input=1032, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2953","layer":3},{"info":"compute binary expreesion, left_input=4570, right_input=2953, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=3336","layer":2},{"info":"number node, value=3905","layer":4},{"info":"number node, value=5950","layer":4},{"info":"compute binary expreesion, left_input=3905, right_input=5950, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3336, 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 = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮3401∼⊺⇮5921)⪢(⋗⩬⋾⊺⇮6382)⊦⊿)⪄(⊺⇮1667⨎⊺⇮4570⪨≂⊺⇮3975⨰⊺⇮1032)⪮%⊝(↣≠⋷(⊺⇮3905∲⫓⊺⇮5950))=⊺⇮3979","reverse_text":"⊺⇮3979=((⊺⇮3401∼⊺⇮5921)⪢(⋗⩬⋾⊺⇮6382)⊦⊿)⪄(⊺⇮1667⨎⊺⇮4570⪨≂⊺⇮3975⨰⊺⇮1032)⪮%⊝(↣≠⋷(⊺⇮3905∲⫓⊺⇮5950))","cot":[{"info":"⊺⇮3401∼⊺⇮5921=NaN","layer":3},{"info":"⋗⩬⋾⊺⇮6382=⊺⇮-19146","layer":3},{"info":"NaN⪢⊺⇮-19146=NaN","layer":2},{"info":"NaN⊦⊿=NaN","layer":1},{"info":"⊺⇮1667⨎⊺⇮4570=⊺⇮4570","layer":3},{"info":"⊺⇮3975⨰⊺⇮1032=⊺⇮2953","layer":3},{"info":"⊺⇮4570⪨≂⊺⇮2953=⊺⇮3336","layer":2},{"info":"⊺⇮3905∲⫓⊺⇮5950=⊺⇮0","layer":3},{"info":"↣≠⋷⊺⇮0=NaN","layer":2},{"info":"⊺⇮3336⪮%⊝NaN=NaN","layer":1},{"info":"NaN⪄NaN=⊺⇮3979","layer":0}]}
{"id":346,"expression_no_base_symbol":"↥(⫛⫱⨽($1145$⋳⪒$3277$↛⩡⫤))","expression":"↥(⫛⫱⨽(⊺⇮1145⋳⪒⊺⇮3277↛⩡⫤))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":5365,"operation_count":4,"complexity_ratio":1341.25,"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":1145,"base":10},"right_expr":{"type":"numeric_atoms","value":3277,"base":10}}}}},"used_operators":["A8NUZmVepG","DlLNRPXxWL","FU0Cs4j7VP","12rbrZMWeM"],"dependent_operators":["k8jYdgA6NY","rGHVDoGpnC","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1145","layer":4},{"info":"number node, value=3277","layer":4},{"info":"compute binary expreesion, left_input=1145, right_input=3277, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-1274","layer":3},{"info":"compute unary expreesion, input=-1274, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=2705","layer":2},{"info":"compute unary expreesion, input=2705, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=0","layer":0}],"base":10,"result_base":10,"text":"↥(⫛⫱⨽(⊺⇮1145⋳⪒⊺⇮3277↛⩡⫤))=⊺⇮0","reverse_text":"⊺⇮0=↥(⫛⫱⨽(⊺⇮1145⋳⪒⊺⇮3277↛⩡⫤))","cot":[{"info":"⊺⇮1145⋳⪒⊺⇮3277=⊺⇮-1274","layer":3},{"info":"⊺⇮-1274↛⩡⫤=⊺⇮2705","layer":2},{"info":"⫛⫱⨽⊺⇮2705=⊺⇮0","layer":1},{"info":"↥⊺⇮0=⊺⇮0","layer":0}]}
{"id":347,"expression_no_base_symbol":"((⨰⫟⨤($1160$≫≃))⪒(↔($1521$⋝⋈⪟$2815$)))≹⇙⪍(($7751$∑⇟⊟$7447$⩨($3228$⪒$2279$))≧⫂∧($1272$⪢$2178$⋫))","expression":"((⨰⫟⨤(⊺⇮1160≫≃))⪒(↔(⊺⇮1521⋝⋈⪟⊺⇮2815)))≹⇙⪍((⊺⇮7751∑⇟⊟⊺⇮7447⩨(⊺⇮3228⪒⊺⇮2279))≧⫂∧(⊺⇮1272⪢⊺⇮2178⋫))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":16253,"operation_count":12,"complexity_ratio":1354.4166666666667,"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":1160,"base":10}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1521,"base":10},"right_expr":{"type":"numeric_atoms","value":2815,"base":10}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":7751,"base":10},"right_expr":{"type":"numeric_atoms","value":7447,"base":10}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3228,"base":10},"right_expr":{"type":"numeric_atoms","value":2279,"base":10}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1272,"base":10},"right_expr":{"type":"numeric_atoms","value":2178,"base":10}}}}},"used_operators":["AHs5Up7iyr","f6k1SAg4EE","Tw270M8GLb","X99M06cbEe","ruOEQAzv1W","2DDjHMKMc0","Ph9nP6C5qx","2DlMacCsIx","U7g4x0WXJJ","JL8yIekQnl","dWAJyo7jo9"],"dependent_operators":["dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","tmPS8pqC7x","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1160","layer":4},{"info":"compute unary expreesion, input=1160, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=3721","layer":3},{"info":"compute unary expreesion, input=3721, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=1521","layer":4},{"info":"number node, value=2815","layer":4},{"info":"compute binary expreesion, left_input=1521, right_input=2815, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1521","layer":3},{"info":"compute unary expreesion, input=1521, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1248","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1248, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=7751","layer":4},{"info":"number node, value=7447","layer":4},{"info":"compute binary expreesion, left_input=7751, right_input=7447, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=3228","layer":4},{"info":"number node, value=2279","layer":4},{"info":"compute binary expreesion, left_input=3228, right_input=2279, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5507","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5507, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"number node, value=1272","layer":4},{"info":"number node, value=2178","layer":4},{"info":"compute binary expreesion, left_input=1272, right_input=2178, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⨰⫟⨤(⊺⇮1160≫≃))⪒(↔(⊺⇮1521⋝⋈⪟⊺⇮2815)))≹⇙⪍((⊺⇮7751∑⇟⊟⊺⇮7447⩨(⊺⇮3228⪒⊺⇮2279))≧⫂∧(⊺⇮1272⪢⊺⇮2178⋫))=NaN","reverse_text":"NaN=((⨰⫟⨤(⊺⇮1160≫≃))⪒(↔(⊺⇮1521⋝⋈⪟⊺⇮2815)))≹⇙⪍((⊺⇮7751∑⇟⊟⊺⇮7447⩨(⊺⇮3228⪒⊺⇮2279))≧⫂∧(⊺⇮1272⪢⊺⇮2178⋫))","cot":[{"info":"⊺⇮1160≫≃=⊺⇮3721","layer":3},{"info":"⨰⫟⨤⊺⇮3721=NaN","layer":2},{"info":"⊺⇮1521⋝⋈⪟⊺⇮2815=⊺⇮1521","layer":3},{"info":"↔⊺⇮1521=⊺⇮-1248","layer":2},{"info":"NaN⪒⊺⇮-1248=NaN","layer":1},{"info":"⊺⇮7751∑⇟⊟⊺⇮7447=NaN","layer":3},{"info":"⊺⇮3228⪒⊺⇮2279=⊺⇮-5507","layer":3},{"info":"NaN⩨⊺⇮-5507=NaN","layer":2},{"info":"⊺⇮1272⪢⊺⇮2178=NaN","layer":3},{"info":"NaN⋫=NaN","layer":2},{"info":"NaN≧⫂∧NaN=NaN","layer":1},{"info":"NaN≹⇙⪍NaN=NaN","layer":0}]}
{"id":348,"expression_no_base_symbol":"(((⪝⪂⫅$5136$)⩨$1973$≹⇙⪍$1211$)⩚⊴⇥(↣≠⋷(⫓⪴$5295$)))⪘⫢($1258$⨐⩸⫘$1529$⊉≛↸($3145$⊭↱$1819$)⇼⇔∾(≤/$3279$)⋳⪒(-$1077$))","expression":"(((⪝⪂⫅⊺⇮5136)⩨⊺⇮1973≹⇙⪍⊺⇮1211)⩚⊴⇥(↣≠⋷(⫓⪴⊺⇮5295)))⪘⫢(⊺⇮1258⨐⩸⫘⊺⇮1529⊉≛↸(⊺⇮3145⊭↱⊺⇮1819)⇼⇔∾(≤/⊺⇮3279)⋳⪒(-⊺⇮1077))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5485,"operation_count":14,"complexity_ratio":391.7857142857143,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":5136,"base":10}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1973,"base":10},"right_expr":{"type":"numeric_atoms","value":1211,"base":10}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":5295,"base":10}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1258,"base":10},"right_expr":{"type":"numeric_atoms","value":1529,"base":10}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3145,"base":10},"right_expr":{"type":"numeric_atoms","value":1819,"base":10}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":3279,"base":10}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1077,"base":10}}}}},"used_operators":["oacrs7FA3X","NTOWxs364D","2DlMacCsIx","XTarYq4gQB","AHs5Up7iyr","Asc51vEJeQ","eLxqMNBOBk","tifHPKVTfV","DZ8iAZOCBD","fu6greOZ01","COABgblf1C","12rbrZMWeM","eLAdDNolq6","t8gj7n24qd"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","9HNa5Wba9A","8w2t5hMYqp","dWAJyo7jo9","XhwjNDsVaA","AHs5Up7iyr","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5136","layer":4},{"info":"compute unary expreesion, input=5136, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-754992","layer":3},{"info":"number node, value=1973","layer":4},{"info":"number node, value=1211","layer":4},{"info":"compute binary expreesion, left_input=1973, right_input=1211, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=-754992, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"number node, value=5295","layer":4},{"info":"compute unary expreesion, input=5295, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=28037025","layer":3},{"info":"compute unary expreesion, input=28037025, 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 = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"number node, value=1258","layer":4},{"info":"number node, value=1529","layer":4},{"info":"compute binary expreesion, left_input=1258, right_input=1529, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=3145","layer":4},{"info":"number node, value=1819","layer":4},{"info":"compute binary expreesion, left_input=3145, right_input=1819, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-2647","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2647, 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=3279","layer":4},{"info":"compute unary expreesion, input=3279, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2795","layer":3},{"info":"number node, value=1077","layer":4},{"info":"compute unary expreesion, input=1077, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1077","layer":3},{"info":"compute binary expreesion, left_input=-2795, right_input=-1077, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-4800","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-4800, 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 = 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":10,"result_base":10,"text":"(((⪝⪂⫅⊺⇮5136)⩨⊺⇮1973≹⇙⪍⊺⇮1211)⩚⊴⇥(↣≠⋷(⫓⪴⊺⇮5295)))⪘⫢(⊺⇮1258⨐⩸⫘⊺⇮1529⊉≛↸(⊺⇮3145⊭↱⊺⇮1819)⇼⇔∾(≤/⊺⇮3279)⋳⪒(-⊺⇮1077))=NaN","reverse_text":"NaN=(((⪝⪂⫅⊺⇮5136)⩨⊺⇮1973≹⇙⪍⊺⇮1211)⩚⊴⇥(↣≠⋷(⫓⪴⊺⇮5295)))⪘⫢(⊺⇮1258⨐⩸⫘⊺⇮1529⊉≛↸(⊺⇮3145⊭↱⊺⇮1819)⇼⇔∾(≤/⊺⇮3279)⋳⪒(-⊺⇮1077))","cot":[{"info":"⪝⪂⫅⊺⇮5136=⊺⇮-754992","layer":3},{"info":"⊺⇮1973≹⇙⪍⊺⇮1211=NaN","layer":3},{"info":"⊺⇮-754992⩨NaN=NaN","layer":2},{"info":"⫓⪴⊺⇮5295=⊺⇮28037025","layer":3},{"info":"↣≠⋷⊺⇮28037025=NaN","layer":2},{"info":"NaN⩚⊴⇥NaN=NaN","layer":1},{"info":"⊺⇮1258⨐⩸⫘⊺⇮1529=NaN","layer":3},{"info":"⊺⇮3145⊭↱⊺⇮1819=⊺⇮-2647","layer":3},{"info":"NaN⊉≛↸⊺⇮-2647=NaN","layer":2},{"info":"≤/⊺⇮3279=⊺⇮-2795","layer":3},{"info":"-⊺⇮1077=⊺⇮-1077","layer":3},{"info":"⊺⇮-2795⋳⪒⊺⇮-1077=⊺⇮-4800","layer":2},{"info":"NaN⇼⇔∾⊺⇮-4800=NaN","layer":1},{"info":"NaN⪘⫢NaN=NaN","layer":0}]}
{"id":349,"expression_no_base_symbol":"(($4044$⋷$2877$⪨≂$4590$∼$1022$)⊠≄⫣)⊘","expression":"((⊺⇮4044⋷⊺⇮2877⪨≂⊺⇮4590∼⊺⇮1022)⊠≄⫣)⊘","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":124,"operation_count":5,"complexity_ratio":24.8,"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":4044,"base":10},"right_expr":{"type":"numeric_atoms","value":2877,"base":10}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4590,"base":10},"right_expr":{"type":"numeric_atoms","value":1022,"base":10}}}}},"used_operators":["gu96TGCTMs","DIvbN7qnHd","sdazOOVcIp","23Mk6UjR3U","DyGG3AbaNP"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=4044","layer":4},{"info":"number node, value=2877","layer":4},{"info":"compute binary expreesion, left_input=4044, right_input=2877, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1710","layer":3},{"info":"number node, value=4590","layer":4},{"info":"number node, value=1022","layer":4},{"info":"compute binary expreesion, left_input=4590, right_input=1022, 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=1710, 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 = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮4044⋷⊺⇮2877⪨≂⊺⇮4590∼⊺⇮1022)⊠≄⫣)⊘=NaN","reverse_text":"NaN=((⊺⇮4044⋷⊺⇮2877⪨≂⊺⇮4590∼⊺⇮1022)⊠≄⫣)⊘","cot":[{"info":"⊺⇮4044⋷⊺⇮2877=⊺⇮1710","layer":3},{"info":"⊺⇮4590∼⊺⇮1022=NaN","layer":3},{"info":"⊺⇮1710⪨≂NaN=NaN","layer":2},{"info":"NaN⊠≄⫣=NaN","layer":1},{"info":"NaN⊘=NaN","layer":0}]}
{"id":350,"expression_no_base_symbol":"⊙↵-((⊥($2300$∀⇚≩$6611$))⩚⊴⇥(↔$3005$)⨓$3968$⪘⫢$2478$)","expression":"⊙↵-((⊥(⊺⇮2300∀⇚≩⊺⇮6611))⩚⊴⇥(↔⊺⇮3005)⨓⊺⇮3968⪘⫢⊺⇮2478)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":23971,"operation_count":7,"complexity_ratio":3424.4285714285716,"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":2300,"base":10},"right_expr":{"type":"numeric_atoms","value":6611,"base":10}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":3005,"base":10}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3968,"base":10},"right_expr":{"type":"numeric_atoms","value":2478,"base":10}}}}},"used_operators":["oWn0xqSxBt","NTOWxs364D","Q3PJZHRvZv","LRNGc0VcxI","3ViojmjbAp","ruOEQAzv1W","oacrs7FA3X"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","fu6greOZ01","X99M06cbEe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2300","layer":4},{"info":"number node, value=6611","layer":4},{"info":"compute binary expreesion, left_input=2300, right_input=6611, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"number node, value=3005","layer":4},{"info":"compute unary expreesion, input=3005, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2732","layer":3},{"info":"number node, value=3968","layer":4},{"info":"number node, value=2478","layer":4},{"info":"compute binary expreesion, left_input=3968, right_input=2478, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=7812","layer":3},{"info":"compute binary expreesion, left_input=-2732, right_input=7812, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-7815","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-7815, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⊙↵-((⊥(⊺⇮2300∀⇚≩⊺⇮6611))⩚⊴⇥(↔⊺⇮3005)⨓⊺⇮3968⪘⫢⊺⇮2478)=NaN","reverse_text":"NaN=⊙↵-((⊥(⊺⇮2300∀⇚≩⊺⇮6611))⩚⊴⇥(↔⊺⇮3005)⨓⊺⇮3968⪘⫢⊺⇮2478)","cot":[{"info":"⊺⇮2300∀⇚≩⊺⇮6611=NaN","layer":3},{"info":"⊥NaN=NaN","layer":2},{"info":"↔⊺⇮3005=⊺⇮-2732","layer":3},{"info":"⊺⇮3968⪘⫢⊺⇮2478=⊺⇮7812","layer":3},{"info":"⊺⇮-2732⨓⊺⇮7812=⊺⇮-7815","layer":2},{"info":"NaN⩚⊴⇥⊺⇮-7815=NaN","layer":1},{"info":"⊙↵-NaN=NaN","layer":0}]}
{"id":351,"expression_no_base_symbol":"⨰⫟⨤((⩦⩻⨪$3665$∼$2008$)⊪)","expression":"⨰⫟⨤((⩦⩻⨪⊺⇮3665∼⊺⇮2008)⊪)","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":118,"operation_count":4,"complexity_ratio":29.5,"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":3665,"base":10},"right_expr":{"type":"numeric_atoms","value":2008,"base":10}}}}},"used_operators":["Tw270M8GLb","zVYPLywUTj","2td37pGCOC","DyGG3AbaNP"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=3665","layer":4},{"info":"number node, value=2008","layer":4},{"info":"compute binary expreesion, left_input=3665, right_input=2008, 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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=nan","layer":1},{"info":"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":10,"result_base":10,"text":"⨰⫟⨤((⩦⩻⨪⊺⇮3665∼⊺⇮2008)⊪)=NaN","reverse_text":"NaN=⨰⫟⨤((⩦⩻⨪⊺⇮3665∼⊺⇮2008)⊪)","cot":[{"info":"⊺⇮3665∼⊺⇮2008=NaN","layer":3},{"info":"⩦⩻⨪NaN=NaN","layer":2},{"info":"NaN⊪=NaN","layer":1},{"info":"⨰⫟⨤NaN=NaN","layer":0}]}
{"id":352,"expression_no_base_symbol":"(⪲⇎(-$5906$))∑⇟⊟(⫓⪴($5434$*$1109$))↙((($6260$⪐)⋥≓≎$3079$↬$6710$)∸)","expression":"(⪲⇎(-⊺⇮5906))∑⇟⊟(⫓⪴(⊺⇮5434*⊺⇮1109))↙(((⊺⇮6260⪐)⋥≓≎⊺⇮3079↬⊺⇮6710)∸)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":6027604,"operation_count":10,"complexity_ratio":602760.4,"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":5906,"base":10}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":5434,"base":10},"right_expr":{"type":"numeric_atoms","value":1109,"base":10}}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":6260,"base":10}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3079,"base":10},"right_expr":{"type":"numeric_atoms","value":6710,"base":10}}}}},"used_operators":["yyfyN0ffXY","U7g4x0WXJJ","XPYlsWDdGa","t8gj7n24qd","eLxqMNBOBk","9HNa5Wba9A","o20kRiQErp","Qy55tPpLXF","eH2TOUuTDT","B5M0gjZbta"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","W4YGzv6Whe","tmPS8pqC7x","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5906","layer":4},{"info":"compute unary expreesion, input=5906, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-5906","layer":3},{"info":"compute unary expreesion, input=-5906, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-11812","layer":2},{"info":"number node, value=5434","layer":4},{"info":"number node, value=1109","layer":4},{"info":"compute binary expreesion, left_input=5434, right_input=1109, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=6026306","layer":3},{"info":"compute unary expreesion, input=6026306, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=inf","layer":2},{"info":"compute binary expreesion, left_input=-11812, right_input=inf, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=6260","layer":4},{"info":"compute unary expreesion, input=6260, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=12520","layer":3},{"info":"number node, value=3079","layer":4},{"info":"number node, value=6710","layer":4},{"info":"compute binary expreesion, left_input=3079, right_input=6710, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=12520, 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 = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=177, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⪲⇎(-⊺⇮5906))∑⇟⊟(⫓⪴(⊺⇮5434*⊺⇮1109))↙(((⊺⇮6260⪐)⋥≓≎⊺⇮3079↬⊺⇮6710)∸)=NaN","reverse_text":"NaN=(⪲⇎(-⊺⇮5906))∑⇟⊟(⫓⪴(⊺⇮5434*⊺⇮1109))↙(((⊺⇮6260⪐)⋥≓≎⊺⇮3079↬⊺⇮6710)∸)","cot":[{"info":"-⊺⇮5906=⊺⇮-5906","layer":3},{"info":"⪲⇎⊺⇮-5906=⊺⇮-11812","layer":2},{"info":"⊺⇮5434*⊺⇮1109=⊺⇮6026306","layer":3},{"info":"⫓⪴⊺⇮6026306=Inf","layer":2},{"info":"⊺⇮-11812∑⇟⊟Inf=NaN","layer":1},{"info":"⊺⇮6260⪐=⊺⇮12520","layer":3},{"info":"⊺⇮3079↬⊺⇮6710=NaN","layer":3},{"info":"⊺⇮12520⋥≓≎NaN=NaN","layer":2},{"info":"NaN∸=⊺⇮177","layer":1},{"info":"NaN↙⊺⇮177=NaN","layer":0}]}
{"id":353,"expression_no_base_symbol":"⨑⩽⪐((↥$2604$)∀⇚≩($3930$⨎$1453$)⊠≄⫣)","expression":"⨑⩽⪐((↥⊺⇮2604)∀⇚≩(⊺⇮3930⨎⊺⇮1453)⊠≄⫣)","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":83,"operation_count":5,"complexity_ratio":16.6,"tree":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2604,"base":10}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3930,"base":10},"right_expr":{"type":"numeric_atoms","value":1453,"base":10}}}}},"used_operators":["AF7qkfDlqP","DIvbN7qnHd","LRNGc0VcxI","A8NUZmVepG","rJVOvQCfKK"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","k8jYdgA6NY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⊺⇮789","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2604","layer":4},{"info":"compute unary expreesion, input=2604, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=3","layer":3},{"info":"number node, value=3930","layer":4},{"info":"number node, value=1453","layer":4},{"info":"compute binary expreesion, left_input=3930, right_input=1453, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1453","layer":3},{"info":"compute binary expreesion, left_input=3, right_input=1453, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=21431","layer":2},{"info":"compute unary expreesion, input=21431, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=789","layer":0}],"base":10,"result_base":10,"text":"⨑⩽⪐((↥⊺⇮2604)∀⇚≩(⊺⇮3930⨎⊺⇮1453)⊠≄⫣)=⊺⇮789","reverse_text":"⊺⇮789=⨑⩽⪐((↥⊺⇮2604)∀⇚≩(⊺⇮3930⨎⊺⇮1453)⊠≄⫣)","cot":[{"info":"↥⊺⇮2604=⊺⇮3","layer":3},{"info":"⊺⇮3930⨎⊺⇮1453=⊺⇮1453","layer":3},{"info":"⊺⇮3∀⇚≩⊺⇮1453=⊺⇮21431","layer":2},{"info":"⊺⇮21431⊠≄⫣=⊺⇮0","layer":1},{"info":"⨑⩽⪐⊺⇮0=⊺⇮789","layer":0}]}
{"id":354,"expression_no_base_symbol":"(($3778$≧⫂∧$1239$⪒$2295$⋥≓≎$4331$)⪐)⫸⊐(↥$3847$)∼($1044$%$5594$)≎⊠⪸(($2647$+$1309$)⊭↱$2257$⇷$1512$)","expression":"((⊺⇮3778≧⫂∧⊺⇮1239⪒⊺⇮2295⋥≓≎⊺⇮4331)⪐)⫸⊐(↥⊺⇮3847)∼(⊺⇮1044%⊺⇮5594)≎⊠⪸((⊺⇮2647+⊺⇮1309)⊭↱⊺⇮2257⇷⊺⇮1512)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":31715,"operation_count":12,"complexity_ratio":2642.9166666666665,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3778,"base":10},"right_expr":{"type":"numeric_atoms","value":1239,"base":10}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2295,"base":10},"right_expr":{"type":"numeric_atoms","value":4331,"base":10}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":3847,"base":10}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1044,"base":10},"right_expr":{"type":"numeric_atoms","value":5594,"base":10}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2647,"base":10},"right_expr":{"type":"numeric_atoms","value":1309,"base":10}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2257,"base":10},"right_expr":{"type":"numeric_atoms","value":1512,"base":10}}}}},"used_operators":["mqXw5SEYmG","eH2TOUuTDT","f6k1SAg4EE","Ph9nP6C5qx","Qy55tPpLXF","bJkvcejdHO","DyGG3AbaNP","A8NUZmVepG","k8jYdgA6NY","COABgblf1C","W4YGzv6Whe","mp7IySMOzn"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⊺⇮968","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3778","layer":4},{"info":"number node, value=1239","layer":4},{"info":"compute binary expreesion, left_input=3778, right_input=1239, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=766","layer":3},{"info":"number node, value=2295","layer":4},{"info":"number node, value=4331","layer":4},{"info":"compute binary expreesion, left_input=2295, right_input=4331, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=6400","layer":3},{"info":"compute binary expreesion, left_input=766, right_input=6400, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7166","layer":2},{"info":"compute unary expreesion, input=-7166, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=-14332","layer":1},{"info":"number node, value=3847","layer":4},{"info":"compute unary expreesion, input=3847, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=22","layer":3},{"info":"number node, value=1044","layer":4},{"info":"number node, value=5594","layer":4},{"info":"compute binary expreesion, left_input=1044, right_input=5594, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1044","layer":3},{"info":"compute binary expreesion, left_input=22, right_input=1044, 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=2647","layer":4},{"info":"number node, value=1309","layer":4},{"info":"compute binary expreesion, left_input=2647, right_input=1309, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3956","layer":3},{"info":"number node, value=2257","layer":4},{"info":"number node, value=1512","layer":4},{"info":"compute binary expreesion, left_input=2257, right_input=1512, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3024","layer":3},{"info":"compute binary expreesion, left_input=3956, right_input=3024, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-1859","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1859, 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=-14332, 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=968","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮3778≧⫂∧⊺⇮1239⪒⊺⇮2295⋥≓≎⊺⇮4331)⪐)⫸⊐(↥⊺⇮3847)∼(⊺⇮1044%⊺⇮5594)≎⊠⪸((⊺⇮2647+⊺⇮1309)⊭↱⊺⇮2257⇷⊺⇮1512)=⊺⇮968","reverse_text":"⊺⇮968=((⊺⇮3778≧⫂∧⊺⇮1239⪒⊺⇮2295⋥≓≎⊺⇮4331)⪐)⫸⊐(↥⊺⇮3847)∼(⊺⇮1044%⊺⇮5594)≎⊠⪸((⊺⇮2647+⊺⇮1309)⊭↱⊺⇮2257⇷⊺⇮1512)","cot":[{"info":"⊺⇮3778≧⫂∧⊺⇮1239=⊺⇮766","layer":3},{"info":"⊺⇮2295⋥≓≎⊺⇮4331=⊺⇮6400","layer":3},{"info":"⊺⇮766⪒⊺⇮6400=⊺⇮-7166","layer":2},{"info":"⊺⇮-7166⪐=⊺⇮-14332","layer":1},{"info":"↥⊺⇮3847=⊺⇮22","layer":3},{"info":"⊺⇮1044%⊺⇮5594=⊺⇮1044","layer":3},{"info":"⊺⇮22∼⊺⇮1044=NaN","layer":2},{"info":"⊺⇮2647+⊺⇮1309=⊺⇮3956","layer":3},{"info":"⊺⇮2257⇷⊺⇮1512=⊺⇮3024","layer":3},{"info":"⊺⇮3956⊭↱⊺⇮3024=⊺⇮-1859","layer":2},{"info":"NaN≎⊠⪸⊺⇮-1859=⊺⇮67","layer":1},{"info":"⊺⇮-14332⫸⊐⊺⇮67=⊺⇮968","layer":0}]}
{"id":355,"expression_no_base_symbol":"⇁⨣⪵((≤/($6993$⊉≛↸$1434$))⫡⨏($3866$⨎$6192$)+⇶⊼($1058$↙$1977$))","expression":"⇁⨣⪵((≤/(⊺⇮6993⊉≛↸⊺⇮1434))⫡⨏(⊺⇮3866⨎⊺⇮6192)+⇶⊼(⊺⇮1058↙⊺⇮1977))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1993,"operation_count":7,"complexity_ratio":284.7142857142857,"tree":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":6993,"base":10},"right_expr":{"type":"numeric_atoms","value":1434,"base":10}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3866,"base":10},"right_expr":{"type":"numeric_atoms","value":6192,"base":10}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1058,"base":10},"right_expr":{"type":"numeric_atoms","value":1977,"base":10}}}}},"used_operators":["inkyxCbjAn","QMFrweE19q","eLAdDNolq6","DZ8iAZOCBD","TpPTUOHfaN","rJVOvQCfKK","yyfyN0ffXY"],"dependent_operators":["B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6993","layer":4},{"info":"number node, value=1434","layer":4},{"info":"compute binary expreesion, left_input=6993, right_input=1434, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=13986","layer":3},{"info":"compute unary expreesion, input=13986, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-13502","layer":2},{"info":"number node, value=3866","layer":4},{"info":"number node, value=6192","layer":4},{"info":"compute binary expreesion, left_input=3866, right_input=6192, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=6192","layer":3},{"info":"number node, value=1058","layer":4},{"info":"number node, value=1977","layer":4},{"info":"compute binary expreesion, left_input=1058, right_input=1977, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5931","layer":3},{"info":"compute binary expreesion, left_input=6192, right_input=-5931, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=-13502, 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 = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⇁⨣⪵((≤/(⊺⇮6993⊉≛↸⊺⇮1434))⫡⨏(⊺⇮3866⨎⊺⇮6192)+⇶⊼(⊺⇮1058↙⊺⇮1977))=NaN","reverse_text":"NaN=⇁⨣⪵((≤/(⊺⇮6993⊉≛↸⊺⇮1434))⫡⨏(⊺⇮3866⨎⊺⇮6192)+⇶⊼(⊺⇮1058↙⊺⇮1977))","cot":[{"info":"⊺⇮6993⊉≛↸⊺⇮1434=⊺⇮13986","layer":3},{"info":"≤/⊺⇮13986=⊺⇮-13502","layer":2},{"info":"⊺⇮3866⨎⊺⇮6192=⊺⇮6192","layer":3},{"info":"⊺⇮1058↙⊺⇮1977=⊺⇮-5931","layer":3},{"info":"⊺⇮6192+⇶⊼⊺⇮-5931=NaN","layer":2},{"info":"⊺⇮-13502⫡⨏NaN=NaN","layer":1},{"info":"⇁⨣⪵NaN=NaN","layer":0}]}
{"id":356,"expression_no_base_symbol":"(∥⊫($7313$≫≃)≭(⨞⊢$1510$))≭(($1054$⋳⪒$7360$⩨(∥⊫$5954$))↙($4569$⨸⪁$7220$)⩷∴($1056$∲⫓$2467$))","expression":"(∥⊫(⊺⇮7313≫≃)≭(⨞⊢⊺⇮1510))≭((⊺⇮1054⋳⪒⊺⇮7360⩨(∥⊫⊺⇮5954))↙(⊺⇮4569⨸⪁⊺⇮7220)⩷∴(⊺⇮1056∲⫓⊺⇮2467))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":529,"operation_count":12,"complexity_ratio":44.083333333333336,"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":7313,"base":10}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1510,"base":10}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1054,"base":10},"right_expr":{"type":"numeric_atoms","value":7360,"base":10}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":5954,"base":10}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4569,"base":10},"right_expr":{"type":"numeric_atoms","value":7220,"base":10}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1056,"base":10},"right_expr":{"type":"numeric_atoms","value":2467,"base":10}}}}},"used_operators":["rxpJgHHUmx","P8v4zCKN1o","X99M06cbEe","xUOZtlo3hN","yyfyN0ffXY","2DlMacCsIx","12rbrZMWeM","9FxExcQeMw","g55IO6H4Gj","i8ToyICDmI"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7313","layer":4},{"info":"compute unary expreesion, input=7313, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=16027","layer":3},{"info":"number node, value=1510","layer":4},{"info":"compute unary expreesion, input=1510, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1684","layer":3},{"info":"compute binary expreesion, left_input=16027, right_input=-1684, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":1},{"info":"number node, value=1054","layer":4},{"info":"number node, value=7360","layer":4},{"info":"compute binary expreesion, left_input=1054, right_input=7360, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-5539","layer":3},{"info":"number node, value=5954","layer":4},{"info":"compute unary expreesion, input=5954, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=6822","layer":3},{"info":"compute binary expreesion, left_input=-5539, right_input=6822, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=6","layer":2},{"info":"number node, value=4569","layer":4},{"info":"number node, value=7220","layer":4},{"info":"compute binary expreesion, left_input=4569, right_input=7220, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=23578","layer":3},{"info":"number node, value=1056","layer":4},{"info":"number node, value=2467","layer":4},{"info":"compute binary expreesion, left_input=1056, right_input=2467, 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=23578, right_input=0, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=47124","layer":2},{"info":"compute binary expreesion, left_input=6, right_input=47124, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=6","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=6, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":10,"result_base":10,"text":"(∥⊫(⊺⇮7313≫≃)≭(⨞⊢⊺⇮1510))≭((⊺⇮1054⋳⪒⊺⇮7360⩨(∥⊫⊺⇮5954))↙(⊺⇮4569⨸⪁⊺⇮7220)⩷∴(⊺⇮1056∲⫓⊺⇮2467))=NaN","reverse_text":"NaN=(∥⊫(⊺⇮7313≫≃)≭(⨞⊢⊺⇮1510))≭((⊺⇮1054⋳⪒⊺⇮7360⩨(∥⊫⊺⇮5954))↙(⊺⇮4569⨸⪁⊺⇮7220)⩷∴(⊺⇮1056∲⫓⊺⇮2467))","cot":[{"info":"⊺⇮7313≫≃=⊺⇮16027","layer":3},{"info":"⨞⊢⊺⇮1510=⊺⇮-1684","layer":3},{"info":"⊺⇮16027≭⊺⇮-1684=NaN","layer":2},{"info":"∥⊫NaN=NaN","layer":1},{"info":"⊺⇮1054⋳⪒⊺⇮7360=⊺⇮-5539","layer":3},{"info":"∥⊫⊺⇮5954=⊺⇮6822","layer":3},{"info":"⊺⇮-5539⩨⊺⇮6822=⊺⇮6","layer":2},{"info":"⊺⇮4569⨸⪁⊺⇮7220=⊺⇮23578","layer":3},{"info":"⊺⇮1056∲⫓⊺⇮2467=⊺⇮0","layer":3},{"info":"⊺⇮23578⩷∴⊺⇮0=⊺⇮47124","layer":2},{"info":"⊺⇮6↙⊺⇮47124=⊺⇮6","layer":1},{"info":"NaN≭⊺⇮6=NaN","layer":0}]}
{"id":357,"expression_no_base_symbol":"((($2218$⊭↱$2471$)⊪)⨸⪁($2809$⫡⨏$1834$⨵⪆$6110$⪢$2033$))⋓((∥⊫$1575$)⇋≉)⪮%⊝(⊥$2719$)⊴($2620$∑⇟⊟$6807$)","expression":"(((⊺⇮2218⊭↱⊺⇮2471)⊪)⨸⪁(⊺⇮2809⫡⨏⊺⇮1834⨵⪆⊺⇮6110⪢⊺⇮2033))⋓((∥⊫⊺⇮1575)⇋≉)⪮%⊝(⊥⊺⇮2719)⊴(⊺⇮2620∑⇟⊟⊺⇮6807)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3898,"operation_count":13,"complexity_ratio":299.84615384615387,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2218,"base":10},"right_expr":{"type":"numeric_atoms","value":2471,"base":10}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2809,"base":10},"right_expr":{"type":"numeric_atoms","value":1834,"base":10}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":6110,"base":10},"right_expr":{"type":"numeric_atoms","value":2033,"base":10}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1575,"base":10}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":2719,"base":10}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2620,"base":10},"right_expr":{"type":"numeric_atoms","value":6807,"base":10}}}}},"used_operators":["T2fj7uvVaJ","g55IO6H4Gj","zVYPLywUTj","COABgblf1C","2DQ55sFlQl","QMFrweE19q","dWAJyo7jo9","IWmyXbctLI","XIabStNQrY","P8v4zCKN1o","Nsiff2A1zJ","Q3PJZHRvZv","U7g4x0WXJJ"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","fu6greOZ01","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2218","layer":4},{"info":"number node, value=2471","layer":4},{"info":"compute binary expreesion, left_input=2218, right_input=2471, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=511","layer":3},{"info":"compute unary expreesion, input=511, 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=2809","layer":4},{"info":"number node, value=1834","layer":4},{"info":"compute binary expreesion, left_input=2809, right_input=1834, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=18496","layer":3},{"info":"number node, value=6110","layer":4},{"info":"number node, value=2033","layer":4},{"info":"compute binary expreesion, left_input=6110, right_input=2033, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=18496, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=160, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=320","layer":1},{"info":"number node, value=1575","layer":4},{"info":"compute unary expreesion, input=1575, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2443","layer":3},{"info":"compute unary expreesion, input=2443, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=4788","layer":2},{"info":"number node, value=2719","layer":4},{"info":"compute unary expreesion, input=2719, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=2620","layer":4},{"info":"number node, value=6807","layer":4},{"info":"compute binary expreesion, left_input=2620, right_input=6807, 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 = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4788, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=320, 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":10,"result_base":10,"text":"(((⊺⇮2218⊭↱⊺⇮2471)⊪)⨸⪁(⊺⇮2809⫡⨏⊺⇮1834⨵⪆⊺⇮6110⪢⊺⇮2033))⋓((∥⊫⊺⇮1575)⇋≉)⪮%⊝(⊥⊺⇮2719)⊴(⊺⇮2620∑⇟⊟⊺⇮6807)=NaN","reverse_text":"NaN=(((⊺⇮2218⊭↱⊺⇮2471)⊪)⨸⪁(⊺⇮2809⫡⨏⊺⇮1834⨵⪆⊺⇮6110⪢⊺⇮2033))⋓((∥⊫⊺⇮1575)⇋≉)⪮%⊝(⊥⊺⇮2719)⊴(⊺⇮2620∑⇟⊟⊺⇮6807)","cot":[{"info":"⊺⇮2218⊭↱⊺⇮2471=⊺⇮511","layer":3},{"info":"⊺⇮511⊪=⊺⇮0","layer":2},{"info":"⊺⇮2809⫡⨏⊺⇮1834=⊺⇮18496","layer":3},{"info":"⊺⇮6110⪢⊺⇮2033=NaN","layer":3},{"info":"⊺⇮18496⨵⪆NaN=⊺⇮160","layer":2},{"info":"⊺⇮0⨸⪁⊺⇮160=⊺⇮320","layer":1},{"info":"∥⊫⊺⇮1575=⊺⇮2443","layer":3},{"info":"⊺⇮2443⇋≉=⊺⇮4788","layer":2},{"info":"⊥⊺⇮2719=NaN","layer":3},{"info":"⊺⇮2620∑⇟⊟⊺⇮6807=NaN","layer":3},{"info":"NaN⊴NaN=NaN","layer":2},{"info":"⊺⇮4788⪮%⊝NaN=NaN","layer":1},{"info":"⊺⇮320⋓NaN=NaN","layer":0}]}
{"id":358,"expression_no_base_symbol":"⊥(($8204$*$3119$)⋓$3937$⪛$3578$⫡⨏(↩($3020$⪐)))","expression":"⊥((⊺⇮8204*⊺⇮3119)⋓⊺⇮3937⪛⊺⇮3578⫡⨏(↩(⊺⇮3020⪐)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3162,"operation_count":7,"complexity_ratio":451.7142857142857,"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":8204,"base":10},"right_expr":{"type":"numeric_atoms","value":3119,"base":10}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3937,"base":10},"right_expr":{"type":"numeric_atoms","value":3578,"base":10}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":3020,"base":10}}}}},"used_operators":["Q3PJZHRvZv","QMFrweE19q","T2fj7uvVaJ","9HNa5Wba9A","uFcxV4UQCh","jLgFTUHLKL","eH2TOUuTDT"],"dependent_operators":["fu6greOZ01","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=8204","layer":4},{"info":"number node, value=3119","layer":4},{"info":"compute binary expreesion, left_input=8204, right_input=3119, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=25588276","layer":3},{"info":"number node, value=3937","layer":4},{"info":"number node, value=3578","layer":4},{"info":"compute binary expreesion, left_input=3937, right_input=3578, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=359","layer":3},{"info":"compute binary expreesion, left_input=25588276, right_input=359, op_id = T2fj7uvVaJ binary_op_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=3020","layer":4},{"info":"compute unary expreesion, input=3020, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=6040","layer":3},{"info":"compute unary expreesion, input=6040, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-45540","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-45540, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-90297","layer":1},{"info":"compute unary expreesion, input=-90297, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⊥((⊺⇮8204*⊺⇮3119)⋓⊺⇮3937⪛⊺⇮3578⫡⨏(↩(⊺⇮3020⪐)))=NaN","reverse_text":"NaN=⊥((⊺⇮8204*⊺⇮3119)⋓⊺⇮3937⪛⊺⇮3578⫡⨏(↩(⊺⇮3020⪐)))","cot":[{"info":"⊺⇮8204*⊺⇮3119=⊺⇮25588276","layer":3},{"info":"⊺⇮3937⪛⊺⇮3578=⊺⇮359","layer":3},{"info":"⊺⇮25588276⋓⊺⇮359=⊺⇮0","layer":2},{"info":"⊺⇮3020⪐=⊺⇮6040","layer":3},{"info":"↩⊺⇮6040=⊺⇮-45540","layer":2},{"info":"⊺⇮0⫡⨏⊺⇮-45540=⊺⇮-90297","layer":1},{"info":"⊥⊺⇮-90297=NaN","layer":0}]}
{"id":359,"expression_no_base_symbol":"($6445$⨳⩥⨓$1161$⊉≛↸$5296$⋝⋈⪟$1269$)⋥≓≎(($1695$%$2694$)⫩⊇)⨳⩥⨓(≦∁$2711$⫸⊐$1721$⨸⪁$1059$⨎$4880$)","expression":"(⊺⇮6445⨳⩥⨓⊺⇮1161⊉≛↸⊺⇮5296⋝⋈⪟⊺⇮1269)⋥≓≎((⊺⇮1695%⊺⇮2694)⫩⊇)⨳⩥⨓(≦∁⊺⇮2711⫸⊐⊺⇮1721⨸⪁⊺⇮1059⨎⊺⇮4880)","highest_n_order":2,"priority_hierarchical_complexity":8,"normalized_expansion_degree":47,"operation_count":11,"complexity_ratio":4.2727272727272725,"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":6445,"base":10},"right_expr":{"type":"numeric_atoms","value":1161,"base":10}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":5296,"base":10},"right_expr":{"type":"numeric_atoms","value":1269,"base":10}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1695,"base":10},"right_expr":{"type":"numeric_atoms","value":2694,"base":10}}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2711,"base":10},"right_expr":{"type":"numeric_atoms","value":1721,"base":10}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1059,"base":10},"right_expr":{"type":"numeric_atoms","value":4880,"base":10}}}}},"used_operators":["nCS4ZIUYfx","Qy55tPpLXF","DZ8iAZOCBD","2DDjHMKMc0","BjRHVeLaeN","k8jYdgA6NY","9ICcGScMcE","g55IO6H4Gj","mqXw5SEYmG","rJVOvQCfKK"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⊺⇮23211","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6445","layer":4},{"info":"number node, value=1161","layer":4},{"info":"compute binary expreesion, left_input=6445, right_input=1161, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-5284","layer":3},{"info":"number node, value=5296","layer":4},{"info":"number node, value=1269","layer":4},{"info":"compute binary expreesion, left_input=5296, right_input=1269, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5296","layer":3},{"info":"compute binary expreesion, left_input=-5284, right_input=5296, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-5296","layer":2},{"info":"number node, value=1695","layer":4},{"info":"number node, value=2694","layer":4},{"info":"compute binary expreesion, left_input=1695, right_input=2694, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1695","layer":3},{"info":"compute unary expreesion, input=1695, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1653","layer":2},{"info":"compute binary expreesion, left_input=-5296, right_input=-1653, 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=2711","layer":4},{"info":"number node, value=1721","layer":4},{"info":"compute binary expreesion, left_input=2711, right_input=1721, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6759","layer":3},{"info":"number node, value=1059","layer":4},{"info":"number node, value=4880","layer":4},{"info":"compute binary expreesion, left_input=1059, right_input=4880, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4880","layer":3},{"info":"compute binary expreesion, left_input=6759, right_input=4880, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=23278","layer":2},{"info":"compute unary expreesion, input=23278, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=23278","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=23278, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=23211","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮6445⨳⩥⨓⊺⇮1161⊉≛↸⊺⇮5296⋝⋈⪟⊺⇮1269)⋥≓≎((⊺⇮1695%⊺⇮2694)⫩⊇)⨳⩥⨓(≦∁⊺⇮2711⫸⊐⊺⇮1721⨸⪁⊺⇮1059⨎⊺⇮4880)=⊺⇮23211","reverse_text":"⊺⇮23211=(⊺⇮6445⨳⩥⨓⊺⇮1161⊉≛↸⊺⇮5296⋝⋈⪟⊺⇮1269)⋥≓≎((⊺⇮1695%⊺⇮2694)⫩⊇)⨳⩥⨓(≦∁⊺⇮2711⫸⊐⊺⇮1721⨸⪁⊺⇮1059⨎⊺⇮4880)","cot":[{"info":"⊺⇮6445⨳⩥⨓⊺⇮1161=⊺⇮-5284","layer":3},{"info":"⊺⇮5296⋝⋈⪟⊺⇮1269=⊺⇮5296","layer":3},{"info":"⊺⇮-5284⊉≛↸⊺⇮5296=⊺⇮-5296","layer":2},{"info":"⊺⇮1695%⊺⇮2694=⊺⇮1695","layer":3},{"info":"⊺⇮1695⫩⊇=⊺⇮-1653","layer":2},{"info":"⊺⇮-5296⋥≓≎⊺⇮-1653=⊺⇮67","layer":1},{"info":"⊺⇮2711⫸⊐⊺⇮1721=⊺⇮6759","layer":3},{"info":"⊺⇮1059⨎⊺⇮4880=⊺⇮4880","layer":3},{"info":"⊺⇮6759⨸⪁⊺⇮4880=⊺⇮23278","layer":2},{"info":"≦∁⊺⇮23278=⊺⇮23278","layer":1},{"info":"⊺⇮67⨳⩥⨓⊺⇮23278=⊺⇮23211","layer":0}]}
{"id":360,"expression_no_base_symbol":"(⨑⩽⪐((⪝⪂⫅$1092$)⊭↱$1705$⋝⋈⪟$1043$))⊴((⫓⪴$1164$)⩷∴($1555$⩚⊴⇥$1078$)↺(⪝⪂⫅($2885$⪠⩆⊳)))","expression":"(⨑⩽⪐((⪝⪂⫅⊺⇮1092)⊭↱⊺⇮1705⋝⋈⪟⊺⇮1043))⊴((⫓⪴⊺⇮1164)⩷∴(⊺⇮1555⩚⊴⇥⊺⇮1078)↺(⪝⪂⫅(⊺⇮2885⪠⩆⊳)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1355,"operation_count":11,"complexity_ratio":123.18181818181819,"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":1092,"base":10}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1705,"base":10},"right_expr":{"type":"numeric_atoms","value":1043,"base":10}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1164,"base":10}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1555,"base":10},"right_expr":{"type":"numeric_atoms","value":1078,"base":10}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":2885,"base":10}}}}},"used_operators":["Nsiff2A1zJ","AF7qkfDlqP","COABgblf1C","XTarYq4gQB","2DDjHMKMc0","7j4O788W3g","9FxExcQeMw","eLxqMNBOBk","NTOWxs364D","JLbD19bQDL"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮-79","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1092","layer":4},{"info":"compute unary expreesion, input=1092, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-160524","layer":3},{"info":"number node, value=1705","layer":4},{"info":"number node, value=1043","layer":4},{"info":"compute binary expreesion, left_input=1705, right_input=1043, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1705","layer":3},{"info":"compute binary expreesion, left_input=-160524, right_input=1705, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=324463","layer":2},{"info":"compute unary expreesion, input=324463, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-324190","layer":1},{"info":"number node, value=1164","layer":4},{"info":"compute unary expreesion, input=1164, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1354896","layer":3},{"info":"number node, value=1555","layer":4},{"info":"number node, value=1078","layer":4},{"info":"compute binary expreesion, left_input=1555, right_input=1078, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2754","layer":3},{"info":"compute binary expreesion, left_input=1354896, right_input=-2754, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2715268","layer":2},{"info":"number node, value=2885","layer":4},{"info":"compute unary expreesion, input=2885, 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 = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=2715268, 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=-324190, right_input=0, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":0}],"base":10,"result_base":10,"text":"(⨑⩽⪐((⪝⪂⫅⊺⇮1092)⊭↱⊺⇮1705⋝⋈⪟⊺⇮1043))⊴((⫓⪴⊺⇮1164)⩷∴(⊺⇮1555⩚⊴⇥⊺⇮1078)↺(⪝⪂⫅(⊺⇮2885⪠⩆⊳)))=⊺⇮-79","reverse_text":"⊺⇮-79=(⨑⩽⪐((⪝⪂⫅⊺⇮1092)⊭↱⊺⇮1705⋝⋈⪟⊺⇮1043))⊴((⫓⪴⊺⇮1164)⩷∴(⊺⇮1555⩚⊴⇥⊺⇮1078)↺(⪝⪂⫅(⊺⇮2885⪠⩆⊳)))","cot":[{"info":"⪝⪂⫅⊺⇮1092=⊺⇮-160524","layer":3},{"info":"⊺⇮1705⋝⋈⪟⊺⇮1043=⊺⇮1705","layer":3},{"info":"⊺⇮-160524⊭↱⊺⇮1705=⊺⇮324463","layer":2},{"info":"⨑⩽⪐⊺⇮324463=⊺⇮-324190","layer":1},{"info":"⫓⪴⊺⇮1164=⊺⇮1354896","layer":3},{"info":"⊺⇮1555⩚⊴⇥⊺⇮1078=⊺⇮-2754","layer":3},{"info":"⊺⇮1354896⩷∴⊺⇮-2754=⊺⇮2715268","layer":2},{"info":"⊺⇮2885⪠⩆⊳=⊺⇮0","layer":3},{"info":"⪝⪂⫅⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮2715268↺⊺⇮0=⊺⇮0","layer":1},{"info":"⊺⇮-324190⊴⊺⇮0=⊺⇮-79","layer":0}]}
{"id":361,"expression_no_base_symbol":"⨑⩽⪐($7694$+⇶⊼$1268$⋥≓≎$6673$⇷$2438$)⋓($1657$∑⇟⊟$1334$⨵⪆$2440$⨐⩸⫘$5934$)","expression":"⨑⩽⪐(⊺⇮7694+⇶⊼⊺⇮1268⋥≓≎⊺⇮6673⇷⊺⇮2438)⋓(⊺⇮1657∑⇟⊟⊺⇮1334⨵⪆⊺⇮2440⨐⩸⫘⊺⇮5934)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":93454,"operation_count":8,"complexity_ratio":11681.75,"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":7694,"base":10},"right_expr":{"type":"numeric_atoms","value":1268,"base":10}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":6673,"base":10},"right_expr":{"type":"numeric_atoms","value":2438,"base":10}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1657,"base":10},"right_expr":{"type":"numeric_atoms","value":1334,"base":10}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2440,"base":10},"right_expr":{"type":"numeric_atoms","value":5934,"base":10}}}}},"used_operators":["AF7qkfDlqP","T2fj7uvVaJ","Qy55tPpLXF","TpPTUOHfaN","mp7IySMOzn","2DQ55sFlQl","U7g4x0WXJJ","fu6greOZ01"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","3ViojmjbAp"],"result":"⊺⇮789","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7694","layer":4},{"info":"number node, value=1268","layer":4},{"info":"compute binary expreesion, left_input=7694, right_input=1268, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=6673","layer":4},{"info":"number node, value=2438","layer":4},{"info":"compute binary expreesion, left_input=6673, right_input=2438, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4876","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4876, 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=1657","layer":4},{"info":"number node, value=1334","layer":4},{"info":"compute binary expreesion, left_input=1657, right_input=1334, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=2440","layer":4},{"info":"number node, value=5934","layer":4},{"info":"compute binary expreesion, left_input=2440, right_input=5934, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=67, right_input=160, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=789","layer":0}],"base":10,"result_base":10,"text":"⨑⩽⪐(⊺⇮7694+⇶⊼⊺⇮1268⋥≓≎⊺⇮6673⇷⊺⇮2438)⋓(⊺⇮1657∑⇟⊟⊺⇮1334⨵⪆⊺⇮2440⨐⩸⫘⊺⇮5934)=⊺⇮789","reverse_text":"⊺⇮789=⨑⩽⪐(⊺⇮7694+⇶⊼⊺⇮1268⋥≓≎⊺⇮6673⇷⊺⇮2438)⋓(⊺⇮1657∑⇟⊟⊺⇮1334⨵⪆⊺⇮2440⨐⩸⫘⊺⇮5934)","cot":[{"info":"⊺⇮7694+⇶⊼⊺⇮1268=NaN","layer":3},{"info":"⊺⇮6673⇷⊺⇮2438=⊺⇮4876","layer":3},{"info":"NaN⋥≓≎⊺⇮4876=⊺⇮67","layer":2},{"info":"⊺⇮1657∑⇟⊟⊺⇮1334=NaN","layer":3},{"info":"⊺⇮2440⨐⩸⫘⊺⇮5934=NaN","layer":3},{"info":"NaN⨵⪆NaN=⊺⇮160","layer":2},{"info":"⊺⇮67⋓⊺⇮160=⊺⇮0","layer":1},{"info":"⨑⩽⪐⊺⇮0=⊺⇮789","layer":0}]}
{"id":362,"expression_no_base_symbol":"(⨰⫟⨤$4513$⪛$2854$∀⇚≩(+⊝⨔$5932$))⫡⨏($4929$⨐⩸⫘$2648$)⋥≓≎($4952$⊭∹↮)⊉≛↸(≉$2979$)⊴($1361$⊉≛↸$3348$)","expression":"(⨰⫟⨤⊺⇮4513⪛⊺⇮2854∀⇚≩(+⊝⨔⊺⇮5932))⫡⨏(⊺⇮4929⨐⩸⫘⊺⇮2648)⋥≓≎(⊺⇮4952⊭∹↮)⊉≛↸(≉⊺⇮2979)⊴(⊺⇮1361⊉≛↸⊺⇮3348)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":14522,"operation_count":12,"complexity_ratio":1210.1666666666667,"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":4513,"base":10},"right_expr":{"type":"numeric_atoms","value":2854,"base":10}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":5932,"base":10}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4929,"base":10},"right_expr":{"type":"numeric_atoms","value":2648,"base":10}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":4952,"base":10}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2979,"base":10}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1361,"base":10},"right_expr":{"type":"numeric_atoms","value":3348,"base":10}}}}},"used_operators":["QMFrweE19q","Tw270M8GLb","LRNGc0VcxI","uFcxV4UQCh","DhbWaqg5eL","DZ8iAZOCBD","Qy55tPpLXF","fu6greOZ01","xNBdhnnwKq","Nsiff2A1zJ","e1ybzncUwg"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","X99M06cbEe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=4513","layer":4},{"info":"number node, value=2854","layer":4},{"info":"compute binary expreesion, left_input=4513, right_input=2854, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1659","layer":3},{"info":"number node, value=5932","layer":4},{"info":"compute unary expreesion, input=5932, 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=1659, right_input=1522, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute 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=4929","layer":4},{"info":"number node, value=2648","layer":4},{"info":"compute binary expreesion, left_input=4929, right_input=2648, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=4952","layer":4},{"info":"compute unary expreesion, input=4952, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=9904","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=9904, 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=2979","layer":4},{"info":"compute unary expreesion, input=2979, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3510","layer":3},{"info":"number node, value=1361","layer":4},{"info":"number node, value=3348","layer":4},{"info":"compute binary expreesion, left_input=1361, right_input=3348, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2722","layer":3},{"info":"compute binary expreesion, left_input=3510, right_input=2722, 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 = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=134","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=134, op_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":10,"result_base":10,"text":"(⨰⫟⨤⊺⇮4513⪛⊺⇮2854∀⇚≩(+⊝⨔⊺⇮5932))⫡⨏(⊺⇮4929⨐⩸⫘⊺⇮2648)⋥≓≎(⊺⇮4952⊭∹↮)⊉≛↸(≉⊺⇮2979)⊴(⊺⇮1361⊉≛↸⊺⇮3348)=NaN","reverse_text":"NaN=(⨰⫟⨤⊺⇮4513⪛⊺⇮2854∀⇚≩(+⊝⨔⊺⇮5932))⫡⨏(⊺⇮4929⨐⩸⫘⊺⇮2648)⋥≓≎(⊺⇮4952⊭∹↮)⊉≛↸(≉⊺⇮2979)⊴(⊺⇮1361⊉≛↸⊺⇮3348)","cot":[{"info":"⊺⇮4513⪛⊺⇮2854=⊺⇮1659","layer":3},{"info":"+⊝⨔⊺⇮5932=⊺⇮1522","layer":3},{"info":"⊺⇮1659∀⇚≩⊺⇮1522=NaN","layer":2},{"info":"⨰⫟⨤NaN=NaN","layer":1},{"info":"⊺⇮4929⨐⩸⫘⊺⇮2648=NaN","layer":3},{"info":"⊺⇮4952⊭∹↮=⊺⇮9904","layer":3},{"info":"NaN⋥≓≎⊺⇮9904=⊺⇮67","layer":2},{"info":"≉⊺⇮2979=⊺⇮3510","layer":3},{"info":"⊺⇮1361⊉≛↸⊺⇮3348=⊺⇮2722","layer":3},{"info":"⊺⇮3510⊴⊺⇮2722=NaN","layer":2},{"info":"⊺⇮67⊉≛↸NaN=⊺⇮134","layer":1},{"info":"NaN⫡⨏⊺⇮134=NaN","layer":0}]}
{"id":363,"expression_no_base_symbol":"$8165$≎⊠⪸$4252$⨐⩸⫘$2508$⨟⋌⩍$3406$⪨≂($5640$⫸⊐$1001$/$3045$%$1383$)⪨≂((⨵≀≌$1615$)⋷$1999$⨽$1664$)⨳⩥⨓(($2003$⇋≉)⫩⊇)","expression":"⊺⇮8165≎⊠⪸⊺⇮4252⨐⩸⫘⊺⇮2508⨟⋌⩍⊺⇮3406⪨≂(⊺⇮5640⫸⊐⊺⇮1001/⊺⇮3045%⊺⇮1383)⪨≂((⨵≀≌⊺⇮1615)⋷⊺⇮1999⨽⊺⇮1664)⨳⩥⨓((⊺⇮2003⇋≉)⫩⊇)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2342,"operation_count":14,"complexity_ratio":167.28571428571428,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":8165,"base":10},"right_expr":{"type":"numeric_atoms","value":4252,"base":10}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2508,"base":10},"right_expr":{"type":"numeric_atoms","value":3406,"base":10}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":5640,"base":10},"right_expr":{"type":"numeric_atoms","value":1001,"base":10}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3045,"base":10},"right_expr":{"type":"numeric_atoms","value":1383,"base":10}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1615,"base":10}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1999,"base":10},"right_expr":{"type":"numeric_atoms","value":1664,"base":10}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":2003,"base":10}}}}},"used_operators":["sdazOOVcIp","fu6greOZ01","bJkvcejdHO","rGHVDoGpnC","XhwjNDsVaA","mqXw5SEYmG","k8jYdgA6NY","nCS4ZIUYfx","23Mk6UjR3U","srAu1WTS94","8HhzD0ZcuI","BjRHVeLaeN","XIabStNQrY"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","Tcnh7f0tEr","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=8165","layer":4},{"info":"number node, value=4252","layer":4},{"info":"compute binary expreesion, left_input=8165, right_input=4252, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=2114262","layer":3},{"info":"number node, value=2508","layer":4},{"info":"number node, value=3406","layer":4},{"info":"compute binary expreesion, left_input=2508, right_input=3406, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=2114262, 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=5640","layer":4},{"info":"number node, value=1001","layer":4},{"info":"compute binary expreesion, left_input=5640, right_input=1001, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=3879","layer":3},{"info":"number node, value=3045","layer":4},{"info":"number node, value=1383","layer":4},{"info":"compute binary expreesion, left_input=3045, right_input=1383, op_id = k8jYdgA6NY binary_op_definition= 'None', output=279","layer":3},{"info":"compute binary expreesion, left_input=3879, right_input=279, op_id = XhwjNDsVaA binary_op_definition= 'None', output=13","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=13, op_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=1615","layer":4},{"info":"compute unary expreesion, input=1615, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-4845","layer":3},{"info":"number node, value=1999","layer":4},{"info":"number node, value=1664","layer":4},{"info":"compute binary expreesion, left_input=1999, right_input=1664, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-11991681","layer":3},{"info":"compute binary expreesion, left_input=-4845, right_input=-11991681, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=9690","layer":2},{"info":"number node, value=2003","layer":4},{"info":"compute unary expreesion, input=2003, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=3908","layer":3},{"info":"compute unary expreesion, input=3908, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-3866","layer":2},{"info":"compute binary expreesion, left_input=9690, right_input=-3866, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-13556","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-13556, op_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":10,"result_base":10,"text":"⊺⇮8165≎⊠⪸⊺⇮4252⨐⩸⫘⊺⇮2508⨟⋌⩍⊺⇮3406⪨≂(⊺⇮5640⫸⊐⊺⇮1001/⊺⇮3045%⊺⇮1383)⪨≂((⨵≀≌⊺⇮1615)⋷⊺⇮1999⨽⊺⇮1664)⨳⩥⨓((⊺⇮2003⇋≉)⫩⊇)=NaN","reverse_text":"NaN=⊺⇮8165≎⊠⪸⊺⇮4252⨐⩸⫘⊺⇮2508⨟⋌⩍⊺⇮3406⪨≂(⊺⇮5640⫸⊐⊺⇮1001/⊺⇮3045%⊺⇮1383)⪨≂((⨵≀≌⊺⇮1615)⋷⊺⇮1999⨽⊺⇮1664)⨳⩥⨓((⊺⇮2003⇋≉)⫩⊇)","cot":[{"info":"⊺⇮8165≎⊠⪸⊺⇮4252=⊺⇮2114262","layer":3},{"info":"⊺⇮2508⨟⋌⩍⊺⇮3406=NaN","layer":3},{"info":"⊺⇮2114262⨐⩸⫘NaN=NaN","layer":2},{"info":"⊺⇮5640⫸⊐⊺⇮1001=⊺⇮3879","layer":3},{"info":"⊺⇮3045%⊺⇮1383=⊺⇮279","layer":3},{"info":"⊺⇮3879/⊺⇮279=⊺⇮13","layer":2},{"info":"NaN⪨≂⊺⇮13=NaN","layer":1},{"info":"⨵≀≌⊺⇮1615=⊺⇮-4845","layer":3},{"info":"⊺⇮1999⨽⊺⇮1664=⊺⇮-11991681","layer":3},{"info":"⊺⇮-4845⋷⊺⇮-11991681=⊺⇮9690","layer":2},{"info":"⊺⇮2003⇋≉=⊺⇮3908","layer":3},{"info":"⊺⇮3908⫩⊇=⊺⇮-3866","layer":2},{"info":"⊺⇮9690⨳⩥⨓⊺⇮-3866=⊺⇮-13556","layer":1},{"info":"NaN⪨≂⊺⇮-13556=NaN","layer":0}]}
{"id":364,"expression_no_base_symbol":"(-$1076$⇷$3526$*($2127$⊠≄⫣))/((↔$1622$)⇼⇔∾$3784$⫥∨⫟$7705$)⋥≓≎(-$2850$⨎$1159$)","expression":"(-⊺⇮1076⇷⊺⇮3526*(⊺⇮2127⊠≄⫣))/((↔⊺⇮1622)⇼⇔∾⊺⇮3784⫥∨⫟⊺⇮7705)⋥≓≎(-⊺⇮2850⨎⊺⇮1159)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":15243,"operation_count":11,"complexity_ratio":1385.7272727272727,"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":1076,"base":10},"right_expr":{"type":"numeric_atoms","value":3526,"base":10}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":2127,"base":10}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1622,"base":10}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3784,"base":10},"right_expr":{"type":"numeric_atoms","value":7705,"base":10}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2850,"base":10},"right_expr":{"type":"numeric_atoms","value":1159,"base":10}}}}},"used_operators":["XhwjNDsVaA","t8gj7n24qd","9HNa5Wba9A","mp7IySMOzn","DIvbN7qnHd","Qy55tPpLXF","tifHPKVTfV","ruOEQAzv1W","KYD54nUTWz","rJVOvQCfKK"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","8HhzD0ZcuI","rGHVDoGpnC","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1076","layer":4},{"info":"number node, value=3526","layer":4},{"info":"compute binary expreesion, left_input=1076, right_input=3526, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=7052","layer":3},{"info":"number node, value=2127","layer":4},{"info":"compute unary expreesion, input=2127, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=7052, right_input=0, op_id = 9HNa5Wba9A binary_op_definition= 'None', 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=1622","layer":4},{"info":"compute unary expreesion, input=1622, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1349","layer":3},{"info":"number node, value=3784","layer":4},{"info":"number node, value=7705","layer":4},{"info":"compute binary expreesion, left_input=3784, right_input=7705, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1349, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"number node, value=2850","layer":4},{"info":"number node, value=1159","layer":4},{"info":"compute binary expreesion, left_input=2850, right_input=1159, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1159","layer":3},{"info":"compute unary expreesion, input=1159, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1159","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1159, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=67, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":0}],"base":10,"result_base":10,"text":"(-⊺⇮1076⇷⊺⇮3526*(⊺⇮2127⊠≄⫣))/((↔⊺⇮1622)⇼⇔∾⊺⇮3784⫥∨⫟⊺⇮7705)⋥≓≎(-⊺⇮2850⨎⊺⇮1159)=⊺⇮0","reverse_text":"⊺⇮0=(-⊺⇮1076⇷⊺⇮3526*(⊺⇮2127⊠≄⫣))/((↔⊺⇮1622)⇼⇔∾⊺⇮3784⫥∨⫟⊺⇮7705)⋥≓≎(-⊺⇮2850⨎⊺⇮1159)","cot":[{"info":"⊺⇮1076⇷⊺⇮3526=⊺⇮7052","layer":3},{"info":"⊺⇮2127⊠≄⫣=⊺⇮0","layer":3},{"info":"⊺⇮7052*⊺⇮0=⊺⇮0","layer":2},{"info":"-⊺⇮0=⊺⇮0","layer":1},{"info":"↔⊺⇮1622=⊺⇮-1349","layer":3},{"info":"⊺⇮3784⫥∨⫟⊺⇮7705=NaN","layer":3},{"info":"⊺⇮-1349⇼⇔∾NaN=NaN","layer":2},{"info":"⊺⇮2850⨎⊺⇮1159=⊺⇮1159","layer":3},{"info":"-⊺⇮1159=⊺⇮-1159","layer":2},{"info":"NaN⋥≓≎⊺⇮-1159=⊺⇮67","layer":1},{"info":"⊺⇮0/⊺⇮67=⊺⇮0","layer":0}]}
{"id":365,"expression_no_base_symbol":"(($5692$%$4229$)≎⊠⪸$1703$⨟⋌⩍$1705$)⨓(⨑⩽⪐($5998$⊠≄⫣))∑⇟⊟(($2580$⊘)⊉≛↸($2279$⫩⊇))↬((≤/$1509$)≋⫹)","expression":"((⊺⇮5692%⊺⇮4229)≎⊠⪸⊺⇮1703⨟⋌⩍⊺⇮1705)⨓(⨑⩽⪐(⊺⇮5998⊠≄⫣))∑⇟⊟((⊺⇮2580⊘)⊉≛↸(⊺⇮2279⫩⊇))↬((≤/⊺⇮1509)≋⫹)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":847,"operation_count":13,"complexity_ratio":65.15384615384616,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":5692,"base":10},"right_expr":{"type":"numeric_atoms","value":4229,"base":10}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1703,"base":10},"right_expr":{"type":"numeric_atoms","value":1705,"base":10}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":5998,"base":10}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":2580,"base":10}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":2279,"base":10}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1509,"base":10}}}}},"used_operators":["U7g4x0WXJJ","3ViojmjbAp","bJkvcejdHO","k8jYdgA6NY","rGHVDoGpnC","AF7qkfDlqP","DIvbN7qnHd","B5M0gjZbta","DZ8iAZOCBD","gu96TGCTMs","BjRHVeLaeN","N41Kp7NANJ","eLAdDNolq6"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5692","layer":4},{"info":"number node, value=4229","layer":4},{"info":"compute binary expreesion, left_input=5692, right_input=4229, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1463","layer":3},{"info":"number node, value=1703","layer":4},{"info":"number node, value=1705","layer":4},{"info":"compute binary expreesion, left_input=1703, right_input=1705, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1463, 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=5998","layer":4},{"info":"compute unary expreesion, input=5998, op_id = DIvbN7qnHd, unary_op_definition = '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":"compute binary expreesion, left_input=67, right_input=789, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-792","layer":1},{"info":"number node, value=2580","layer":4},{"info":"compute unary expreesion, input=2580, 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=2279","layer":4},{"info":"compute unary expreesion, input=2279, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-2237","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-2237, 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=1509","layer":4},{"info":"compute unary expreesion, input=1509, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1025","layer":3},{"info":"compute unary expreesion, input=-1025, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=2050","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=2050, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=2050","layer":1},{"info":"compute binary expreesion, left_input=-792, right_input=2050, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮5692%⊺⇮4229)≎⊠⪸⊺⇮1703⨟⋌⩍⊺⇮1705)⨓(⨑⩽⪐(⊺⇮5998⊠≄⫣))∑⇟⊟((⊺⇮2580⊘)⊉≛↸(⊺⇮2279⫩⊇))↬((≤/⊺⇮1509)≋⫹)=NaN","reverse_text":"NaN=((⊺⇮5692%⊺⇮4229)≎⊠⪸⊺⇮1703⨟⋌⩍⊺⇮1705)⨓(⨑⩽⪐(⊺⇮5998⊠≄⫣))∑⇟⊟((⊺⇮2580⊘)⊉≛↸(⊺⇮2279⫩⊇))↬((≤/⊺⇮1509)≋⫹)","cot":[{"info":"⊺⇮5692%⊺⇮4229=⊺⇮1463","layer":3},{"info":"⊺⇮1703⨟⋌⩍⊺⇮1705=NaN","layer":3},{"info":"⊺⇮1463≎⊠⪸NaN=⊺⇮67","layer":2},{"info":"⊺⇮5998⊠≄⫣=⊺⇮0","layer":3},{"info":"⨑⩽⪐⊺⇮0=⊺⇮789","layer":2},{"info":"⊺⇮67⨓⊺⇮789=⊺⇮-792","layer":1},{"info":"⊺⇮2580⊘=⊺⇮0","layer":3},{"info":"⊺⇮2279⫩⊇=⊺⇮-2237","layer":3},{"info":"⊺⇮0⊉≛↸⊺⇮-2237=⊺⇮0","layer":2},{"info":"≤/⊺⇮1509=⊺⇮-1025","layer":3},{"info":"⊺⇮-1025≋⫹=⊺⇮2050","layer":2},{"info":"⊺⇮0↬⊺⇮2050=⊺⇮2050","layer":1},{"info":"⊺⇮-792∑⇟⊟⊺⇮2050=NaN","layer":0}]}
{"id":366,"expression_no_base_symbol":"(($1178$∼$4618$)⪮%⊝(≤/$1330$)-($2606$⪮%⊝$1760$↪⪝))⋥≓≎($1073$⪢$2728$∼($2247$⪠⩆⊳)⪒(⨑⩽⪐$2491$)⋳⪒$1015$⨪↰⇹$1357$)","expression":"((⊺⇮1178∼⊺⇮4618)⪮%⊝(≤/⊺⇮1330)-(⊺⇮2606⪮%⊝⊺⇮1760↪⪝))⋥≓≎(⊺⇮1073⪢⊺⇮2728∼(⊺⇮2247⪠⩆⊳)⪒(⨑⩽⪐⊺⇮2491)⋳⪒⊺⇮1015⨪↰⇹⊺⇮1357)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4532,"operation_count":14,"complexity_ratio":323.7142857142857,"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":1178,"base":10},"right_expr":{"type":"numeric_atoms","value":4618,"base":10}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1330,"base":10}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2606,"base":10},"right_expr":{"type":"numeric_atoms","value":1760,"base":10}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1073,"base":10},"right_expr":{"type":"numeric_atoms","value":2728,"base":10}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":2247,"base":10}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2491,"base":10}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1015,"base":10},"right_expr":{"type":"numeric_atoms","value":1357,"base":10}}}}},"used_operators":["Qy55tPpLXF","rysDP5nf3Z","IWmyXbctLI","DyGG3AbaNP","eLAdDNolq6","l07mrZUIn9","f6k1SAg4EE","dWAJyo7jo9","JLbD19bQDL","12rbrZMWeM","AF7qkfDlqP","tmPS8pqC7x"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rJVOvQCfKK"],"result":"⊺⇮67","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1178","layer":4},{"info":"number node, value=4618","layer":4},{"info":"compute binary expreesion, left_input=1178, right_input=4618, 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=1330","layer":4},{"info":"compute unary expreesion, input=1330, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-846","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-846, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"number node, value=2606","layer":4},{"info":"number node, value=1760","layer":4},{"info":"compute binary expreesion, left_input=2606, right_input=1760, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5528","layer":3},{"info":"compute unary expreesion, input=5528, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=338214096","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=338214096, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1073","layer":4},{"info":"number node, value=2728","layer":4},{"info":"compute binary expreesion, left_input=1073, right_input=2728, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=2247","layer":4},{"info":"compute unary expreesion, input=2247, 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 = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=20","layer":2},{"info":"number node, value=2491","layer":4},{"info":"compute unary expreesion, input=2491, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2218","layer":3},{"info":"number node, value=1015","layer":4},{"info":"number node, value=1357","layer":4},{"info":"compute binary expreesion, left_input=1015, right_input=1357, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1015","layer":3},{"info":"compute binary expreesion, left_input=-2218, right_input=1015, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-5738","layer":2},{"info":"compute binary expreesion, left_input=20, right_input=-5738, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=5718","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=5718, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1178∼⊺⇮4618)⪮%⊝(≤/⊺⇮1330)-(⊺⇮2606⪮%⊝⊺⇮1760↪⪝))⋥≓≎(⊺⇮1073⪢⊺⇮2728∼(⊺⇮2247⪠⩆⊳)⪒(⨑⩽⪐⊺⇮2491)⋳⪒⊺⇮1015⨪↰⇹⊺⇮1357)=⊺⇮67","reverse_text":"⊺⇮67=((⊺⇮1178∼⊺⇮4618)⪮%⊝(≤/⊺⇮1330)-(⊺⇮2606⪮%⊝⊺⇮1760↪⪝))⋥≓≎(⊺⇮1073⪢⊺⇮2728∼(⊺⇮2247⪠⩆⊳)⪒(⨑⩽⪐⊺⇮2491)⋳⪒⊺⇮1015⨪↰⇹⊺⇮1357)","cot":[{"info":"⊺⇮1178∼⊺⇮4618=NaN","layer":3},{"info":"≤/⊺⇮1330=⊺⇮-846","layer":3},{"info":"NaN⪮%⊝⊺⇮-846=NaN","layer":2},{"info":"⊺⇮2606⪮%⊝⊺⇮1760=⊺⇮5528","layer":3},{"info":"⊺⇮5528↪⪝=⊺⇮338214096","layer":2},{"info":"NaN-⊺⇮338214096=NaN","layer":1},{"info":"⊺⇮1073⪢⊺⇮2728=NaN","layer":3},{"info":"⊺⇮2247⪠⩆⊳=⊺⇮0","layer":3},{"info":"NaN∼⊺⇮0=⊺⇮20","layer":2},{"info":"⨑⩽⪐⊺⇮2491=⊺⇮-2218","layer":3},{"info":"⊺⇮1015⨪↰⇹⊺⇮1357=⊺⇮1015","layer":3},{"info":"⊺⇮-2218⋳⪒⊺⇮1015=⊺⇮-5738","layer":2},{"info":"⊺⇮20⪒⊺⇮-5738=⊺⇮5718","layer":1},{"info":"NaN⋥≓≎⊺⇮5718=⊺⇮67","layer":0}]}
{"id":367,"expression_no_base_symbol":"(⫓⪴((⨵≀≌$4235$)+⇶⊼($3950$⫩⊇)))⪄(⨰⫟⨤(($6724$⊪)⨵⪆(⨞⊢$4664$)))","expression":"(⫓⪴((⨵≀≌⊺⇮4235)+⇶⊼(⊺⇮3950⫩⊇)))⪄(⨰⫟⨤((⊺⇮6724⊪)⨵⪆(⨞⊢⊺⇮4664)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":956,"operation_count":9,"complexity_ratio":106.22222222222223,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":4235,"base":10}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":3950,"base":10}}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":6724,"base":10}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":4664,"base":10}}}}},"used_operators":["SUmda5xLS4","eLxqMNBOBk","TpPTUOHfaN","srAu1WTS94","BjRHVeLaeN","Tw270M8GLb","2DQ55sFlQl","zVYPLywUTj","xUOZtlo3hN"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9HNa5Wba9A","AHs5Up7iyr","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮3979","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4235","layer":4},{"info":"compute unary expreesion, input=4235, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-12705","layer":3},{"info":"number node, value=3950","layer":4},{"info":"compute unary expreesion, input=3950, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-3908","layer":3},{"info":"compute binary expreesion, left_input=-12705, right_input=-3908, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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":"number node, value=6724","layer":4},{"info":"compute unary expreesion, input=6724, 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=4664","layer":4},{"info":"compute unary expreesion, input=4664, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-4838","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-4838, 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 = 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 = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":10,"result_base":10,"text":"(⫓⪴((⨵≀≌⊺⇮4235)+⇶⊼(⊺⇮3950⫩⊇)))⪄(⨰⫟⨤((⊺⇮6724⊪)⨵⪆(⨞⊢⊺⇮4664)))=⊺⇮3979","reverse_text":"⊺⇮3979=(⫓⪴((⨵≀≌⊺⇮4235)+⇶⊼(⊺⇮3950⫩⊇)))⪄(⨰⫟⨤((⊺⇮6724⊪)⨵⪆(⨞⊢⊺⇮4664)))","cot":[{"info":"⨵≀≌⊺⇮4235=⊺⇮-12705","layer":3},{"info":"⊺⇮3950⫩⊇=⊺⇮-3908","layer":3},{"info":"⊺⇮-12705+⇶⊼⊺⇮-3908=NaN","layer":2},{"info":"⫓⪴NaN=NaN","layer":1},{"info":"⊺⇮6724⊪=⊺⇮0","layer":3},{"info":"⨞⊢⊺⇮4664=⊺⇮-4838","layer":3},{"info":"⊺⇮0⨵⪆⊺⇮-4838=⊺⇮160","layer":2},{"info":"⨰⫟⨤⊺⇮160=NaN","layer":1},{"info":"NaN⪄NaN=⊺⇮3979","layer":0}]}
{"id":368,"expression_no_base_symbol":"(($5616$↬$3631$/$4742$⨎$1246$)⋓((⫛⫱⨽$6764$)⨐⩸⫘($5355$+$1656$)))∼((($7685$≦≮≮)⋷$5579$⋓$4710$)⪛(≦∁$5688$≭$1154$))","expression":"((⊺⇮5616↬⊺⇮3631/⊺⇮4742⨎⊺⇮1246)⋓((⫛⫱⨽⊺⇮6764)⨐⩸⫘(⊺⇮5355+⊺⇮1656)))∼(((⊺⇮7685≦≮≮)⋷⊺⇮5579⋓⊺⇮4710)⪛(≦∁⊺⇮5688≭⊺⇮1154))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1467,"operation_count":14,"complexity_ratio":104.78571428571429,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":5616,"base":10},"right_expr":{"type":"numeric_atoms","value":3631,"base":10}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4742,"base":10},"right_expr":{"type":"numeric_atoms","value":1246,"base":10}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":6764,"base":10}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":5355,"base":10},"right_expr":{"type":"numeric_atoms","value":1656,"base":10}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":7685,"base":10}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":5579,"base":10},"right_expr":{"type":"numeric_atoms","value":4710,"base":10}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":5688,"base":10},"right_expr":{"type":"numeric_atoms","value":1154,"base":10}}}}},"used_operators":["DyGG3AbaNP","T2fj7uvVaJ","XhwjNDsVaA","B5M0gjZbta","rJVOvQCfKK","fu6greOZ01","DlLNRPXxWL","W4YGzv6Whe","uFcxV4UQCh","23Mk6UjR3U","D4vGDi5EA2","9ICcGScMcE","rxpJgHHUmx"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","rGHVDoGpnC","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","3ViojmjbAp","rGHVDoGpnC","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5616","layer":4},{"info":"number node, value=3631","layer":4},{"info":"compute binary expreesion, left_input=5616, right_input=3631, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=4742","layer":4},{"info":"number node, value=1246","layer":4},{"info":"compute binary expreesion, left_input=4742, right_input=1246, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1246","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1246, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=6764","layer":4},{"info":"compute unary expreesion, input=6764, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=5355","layer":4},{"info":"number node, value=1656","layer":4},{"info":"compute binary expreesion, left_input=5355, right_input=1656, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7011","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=7011, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = T2fj7uvVaJ 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=7685","layer":4},{"info":"compute unary expreesion, input=7685, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-23055","layer":3},{"info":"number node, value=5579","layer":4},{"info":"number node, value=4710","layer":4},{"info":"compute binary expreesion, left_input=5579, right_input=4710, op_id = T2fj7uvVaJ binary_op_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=-23055, right_input=0, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=46110","layer":2},{"info":"number node, value=5688","layer":4},{"info":"number node, value=1154","layer":4},{"info":"compute binary expreesion, left_input=5688, right_input=1154, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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 = 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=46110, 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 = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮5616↬⊺⇮3631/⊺⇮4742⨎⊺⇮1246)⋓((⫛⫱⨽⊺⇮6764)⨐⩸⫘(⊺⇮5355+⊺⇮1656)))∼(((⊺⇮7685≦≮≮)⋷⊺⇮5579⋓⊺⇮4710)⪛(≦∁⊺⇮5688≭⊺⇮1154))=NaN","reverse_text":"NaN=((⊺⇮5616↬⊺⇮3631/⊺⇮4742⨎⊺⇮1246)⋓((⫛⫱⨽⊺⇮6764)⨐⩸⫘(⊺⇮5355+⊺⇮1656)))∼(((⊺⇮7685≦≮≮)⋷⊺⇮5579⋓⊺⇮4710)⪛(≦∁⊺⇮5688≭⊺⇮1154))","cot":[{"info":"⊺⇮5616↬⊺⇮3631=NaN","layer":3},{"info":"⊺⇮4742⨎⊺⇮1246=⊺⇮1246","layer":3},{"info":"NaN/⊺⇮1246=NaN","layer":2},{"info":"⫛⫱⨽⊺⇮6764=⊺⇮0","layer":3},{"info":"⊺⇮5355+⊺⇮1656=⊺⇮7011","layer":3},{"info":"⊺⇮0⨐⩸⫘⊺⇮7011=NaN","layer":2},{"info":"NaN⋓NaN=NaN","layer":1},{"info":"⊺⇮7685≦≮≮=⊺⇮-23055","layer":3},{"info":"⊺⇮5579⋓⊺⇮4710=⊺⇮0","layer":3},{"info":"⊺⇮-23055⋷⊺⇮0=⊺⇮46110","layer":2},{"info":"⊺⇮5688≭⊺⇮1154=NaN","layer":3},{"info":"≦∁NaN=NaN","layer":2},{"info":"⊺⇮46110⪛NaN=NaN","layer":1},{"info":"NaN∼NaN=NaN","layer":0}]}
{"id":369,"expression_no_base_symbol":"(≉$3559$≹⇙⪍$1754$∑⇟⊟($8738$⨸⪁$1928$))⪨≂(⫓⪴($1699$⩨$2417$)⪮%⊝(⫓⪴$3714$))","expression":"(≉⊺⇮3559≹⇙⪍⊺⇮1754∑⇟⊟(⊺⇮8738⨸⪁⊺⇮1928))⪨≂(⫓⪴(⊺⇮1699⩨⊺⇮2417)⪮%⊝(⫓⪴⊺⇮3714))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4048,"operation_count":9,"complexity_ratio":449.77777777777777,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3559,"base":10},"right_expr":{"type":"numeric_atoms","value":1754,"base":10}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":8738,"base":10},"right_expr":{"type":"numeric_atoms","value":1928,"base":10}}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1699,"base":10},"right_expr":{"type":"numeric_atoms","value":2417,"base":10}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":3714,"base":10}}}}},"used_operators":["sdazOOVcIp","e1ybzncUwg","U7g4x0WXJJ","AHs5Up7iyr","g55IO6H4Gj","eLxqMNBOBk","IWmyXbctLI","2DlMacCsIx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","dWAJyo7jo9","W4YGzv6Whe","9HNa5Wba9A","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3559","layer":4},{"info":"number node, value=1754","layer":4},{"info":"compute binary expreesion, left_input=3559, right_input=1754, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=8738","layer":4},{"info":"number node, value=1928","layer":4},{"info":"compute binary expreesion, left_input=8738, right_input=1928, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=21332","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=21332, 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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":1},{"info":"number node, value=1699","layer":4},{"info":"number node, value=2417","layer":4},{"info":"compute binary expreesion, left_input=1699, right_input=2417, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=3714","layer":4},{"info":"compute unary expreesion, input=3714, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=13793796","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=13793796, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=310","layer":2},{"info":"compute unary expreesion, input=310, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=96100","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=96100, op_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":10,"result_base":10,"text":"(≉⊺⇮3559≹⇙⪍⊺⇮1754∑⇟⊟(⊺⇮8738⨸⪁⊺⇮1928))⪨≂(⫓⪴(⊺⇮1699⩨⊺⇮2417)⪮%⊝(⫓⪴⊺⇮3714))=NaN","reverse_text":"NaN=(≉⊺⇮3559≹⇙⪍⊺⇮1754∑⇟⊟(⊺⇮8738⨸⪁⊺⇮1928))⪨≂(⫓⪴(⊺⇮1699⩨⊺⇮2417)⪮%⊝(⫓⪴⊺⇮3714))","cot":[{"info":"⊺⇮3559≹⇙⪍⊺⇮1754=NaN","layer":3},{"info":"⊺⇮8738⨸⪁⊺⇮1928=⊺⇮21332","layer":3},{"info":"NaN∑⇟⊟⊺⇮21332=NaN","layer":2},{"info":"≉NaN=NaN","layer":1},{"info":"⊺⇮1699⩨⊺⇮2417=⊺⇮-3","layer":3},{"info":"⫓⪴⊺⇮3714=⊺⇮13793796","layer":3},{"info":"⊺⇮-3⪮%⊝⊺⇮13793796=⊺⇮310","layer":2},{"info":"⫓⪴⊺⇮310=⊺⇮96100","layer":1},{"info":"NaN⪨≂⊺⇮96100=NaN","layer":0}]}
{"id":370,"expression_no_base_symbol":"($1366$+⇶⊼$6596$⇼⇔∾(⨵≀≌$3430$)⩨($3067$≫≃)⫥∨⫟($1958$⨎$1366$))⋝⋈⪟($1451$≭$4238$⨽$2725$≹⇙⪍$4437$⇼⇔∾(∂(⇁⨣⪵$3946$)))","expression":"(⊺⇮1366+⇶⊼⊺⇮6596⇼⇔∾(⨵≀≌⊺⇮3430)⩨(⊺⇮3067≫≃)⫥∨⫟(⊺⇮1958⨎⊺⇮1366))⋝⋈⪟(⊺⇮1451≭⊺⇮4238⨽⊺⇮2725≹⇙⪍⊺⇮4437⇼⇔∾(∂(⇁⨣⪵⊺⇮3946)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":191,"operation_count":14,"complexity_ratio":13.642857142857142,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1366,"base":10},"right_expr":{"type":"numeric_atoms","value":6596,"base":10}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":3430,"base":10}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":3067,"base":10}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1958,"base":10},"right_expr":{"type":"numeric_atoms","value":1366,"base":10}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1451,"base":10},"right_expr":{"type":"numeric_atoms","value":4238,"base":10}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2725,"base":10},"right_expr":{"type":"numeric_atoms","value":4437,"base":10}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":3946,"base":10}}}}},"used_operators":["2DDjHMKMc0","2DlMacCsIx","tifHPKVTfV","TpPTUOHfaN","srAu1WTS94","KYD54nUTWz","X99M06cbEe","rJVOvQCfKK","8HhzD0ZcuI","rxpJgHHUmx","AHs5Up7iyr","Uaa54Peajs","inkyxCbjAn"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","8HhzD0ZcuI","rGHVDoGpnC","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","AHs5Up7iyr","dWAJyo7jo9","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1366","layer":4},{"info":"number node, value=6596","layer":4},{"info":"compute binary expreesion, left_input=1366, right_input=6596, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=3430","layer":4},{"info":"compute unary expreesion, input=3430, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-10290","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-10290, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"number node, value=3067","layer":4},{"info":"compute unary expreesion, input=3067, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=7535","layer":3},{"info":"number node, value=1958","layer":4},{"info":"number node, value=1366","layer":4},{"info":"compute binary expreesion, left_input=1958, right_input=1366, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1366","layer":3},{"info":"compute binary expreesion, left_input=7535, right_input=1366, 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 = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"number node, value=1451","layer":4},{"info":"number node, value=4238","layer":4},{"info":"compute binary expreesion, left_input=1451, right_input=4238, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=2725","layer":4},{"info":"number node, value=4437","layer":4},{"info":"compute binary expreesion, left_input=2725, right_input=4437, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"number node, value=3946","layer":4},{"info":"compute unary expreesion, input=3946, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=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 = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1366+⇶⊼⊺⇮6596⇼⇔∾(⨵≀≌⊺⇮3430)⩨(⊺⇮3067≫≃)⫥∨⫟(⊺⇮1958⨎⊺⇮1366))⋝⋈⪟(⊺⇮1451≭⊺⇮4238⨽⊺⇮2725≹⇙⪍⊺⇮4437⇼⇔∾(∂(⇁⨣⪵⊺⇮3946)))=NaN","reverse_text":"NaN=(⊺⇮1366+⇶⊼⊺⇮6596⇼⇔∾(⨵≀≌⊺⇮3430)⩨(⊺⇮3067≫≃)⫥∨⫟(⊺⇮1958⨎⊺⇮1366))⋝⋈⪟(⊺⇮1451≭⊺⇮4238⨽⊺⇮2725≹⇙⪍⊺⇮4437⇼⇔∾(∂(⇁⨣⪵⊺⇮3946)))","cot":[{"info":"⊺⇮1366+⇶⊼⊺⇮6596=NaN","layer":3},{"info":"⨵≀≌⊺⇮3430=⊺⇮-10290","layer":3},{"info":"NaN⇼⇔∾⊺⇮-10290=NaN","layer":2},{"info":"⊺⇮3067≫≃=⊺⇮7535","layer":3},{"info":"⊺⇮1958⨎⊺⇮1366=⊺⇮1366","layer":3},{"info":"⊺⇮7535⫥∨⫟⊺⇮1366=NaN","layer":2},{"info":"NaN⩨NaN=NaN","layer":1},{"info":"⊺⇮1451≭⊺⇮4238=NaN","layer":3},{"info":"⊺⇮2725≹⇙⪍⊺⇮4437=NaN","layer":3},{"info":"NaN⨽NaN=NaN","layer":2},{"info":"⇁⨣⪵⊺⇮3946=NaN","layer":3},{"info":"∂NaN=NaN","layer":2},{"info":"NaN⇼⇔∾NaN=NaN","layer":1},{"info":"NaN⋝⋈⪟NaN=NaN","layer":0}]}
{"id":371,"expression_no_base_symbol":"(⫓⪴($2834$⊭↱$3687$))⪢(($5854$%$7221$)⨳⩥⨓$3055$⪘⫢$3440$)⨐⩸⫘($3568$≧⫂∧$2493$)⪮%⊝($1963$⊦⊿)⋥≓≎(($1004$⪮%⊝$2420$)∧)","expression":"(⫓⪴(⊺⇮2834⊭↱⊺⇮3687))⪢((⊺⇮5854%⊺⇮7221)⨳⩥⨓⊺⇮3055⪘⫢⊺⇮3440)⨐⩸⫘(⊺⇮3568≧⫂∧⊺⇮2493)⪮%⊝(⊺⇮1963⊦⊿)⋥≓≎((⊺⇮1004⪮%⊝⊺⇮2420)∧)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3391073,"operation_count":13,"complexity_ratio":260851.76923076922,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2834,"base":10},"right_expr":{"type":"numeric_atoms","value":3687,"base":10}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":5854,"base":10},"right_expr":{"type":"numeric_atoms","value":7221,"base":10}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3055,"base":10},"right_expr":{"type":"numeric_atoms","value":3440,"base":10}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3568,"base":10},"right_expr":{"type":"numeric_atoms","value":2493,"base":10}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1963,"base":10}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1004,"base":10},"right_expr":{"type":"numeric_atoms","value":2420,"base":10}}}}},"used_operators":["fu6greOZ01","dWAJyo7jo9","eLxqMNBOBk","COABgblf1C","nCS4ZIUYfx","k8jYdgA6NY","oacrs7FA3X","Qy55tPpLXF","IWmyXbctLI","Ph9nP6C5qx","14qkJME0vr","z63VuFQld9"],"dependent_operators":["3ViojmjbAp","k8jYdgA6NY","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2834","layer":4},{"info":"number node, value=3687","layer":4},{"info":"compute binary expreesion, left_input=2834, right_input=3687, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=1711","layer":3},{"info":"compute unary expreesion, input=1711, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=2927521","layer":2},{"info":"number node, value=5854","layer":4},{"info":"number node, value=7221","layer":4},{"info":"compute binary expreesion, left_input=5854, right_input=7221, op_id = k8jYdgA6NY binary_op_definition= 'None', output=5854","layer":3},{"info":"number node, value=3055","layer":4},{"info":"number node, value=3440","layer":4},{"info":"compute binary expreesion, left_input=3055, right_input=3440, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5986","layer":3},{"info":"compute binary expreesion, left_input=5854, right_input=5986, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=132","layer":2},{"info":"compute binary expreesion, left_input=2927521, right_input=132, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=3568","layer":4},{"info":"number node, value=2493","layer":4},{"info":"compute binary expreesion, left_input=3568, right_input=2493, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2020","layer":3},{"info":"number node, value=1963","layer":4},{"info":"compute unary expreesion, input=1963, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-5968","layer":3},{"info":"compute binary expreesion, left_input=2020, right_input=-5968, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4356","layer":2},{"info":"number node, value=1004","layer":4},{"info":"number node, value=2420","layer":4},{"info":"compute binary expreesion, left_input=1004, right_input=2420, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2324","layer":3},{"info":"compute unary expreesion, input=2324, 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=4356, 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=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":10,"result_base":10,"text":"(⫓⪴(⊺⇮2834⊭↱⊺⇮3687))⪢((⊺⇮5854%⊺⇮7221)⨳⩥⨓⊺⇮3055⪘⫢⊺⇮3440)⨐⩸⫘(⊺⇮3568≧⫂∧⊺⇮2493)⪮%⊝(⊺⇮1963⊦⊿)⋥≓≎((⊺⇮1004⪮%⊝⊺⇮2420)∧)=NaN","reverse_text":"NaN=(⫓⪴(⊺⇮2834⊭↱⊺⇮3687))⪢((⊺⇮5854%⊺⇮7221)⨳⩥⨓⊺⇮3055⪘⫢⊺⇮3440)⨐⩸⫘(⊺⇮3568≧⫂∧⊺⇮2493)⪮%⊝(⊺⇮1963⊦⊿)⋥≓≎((⊺⇮1004⪮%⊝⊺⇮2420)∧)","cot":[{"info":"⊺⇮2834⊭↱⊺⇮3687=⊺⇮1711","layer":3},{"info":"⫓⪴⊺⇮1711=⊺⇮2927521","layer":2},{"info":"⊺⇮5854%⊺⇮7221=⊺⇮5854","layer":3},{"info":"⊺⇮3055⪘⫢⊺⇮3440=⊺⇮5986","layer":3},{"info":"⊺⇮5854⨳⩥⨓⊺⇮5986=⊺⇮132","layer":2},{"info":"⊺⇮2927521⪢⊺⇮132=NaN","layer":1},{"info":"⊺⇮3568≧⫂∧⊺⇮2493=⊺⇮2020","layer":3},{"info":"⊺⇮1963⊦⊿=⊺⇮-5968","layer":3},{"info":"⊺⇮2020⪮%⊝⊺⇮-5968=⊺⇮4356","layer":2},{"info":"⊺⇮1004⪮%⊝⊺⇮2420=⊺⇮2324","layer":3},{"info":"⊺⇮2324∧=NaN","layer":2},{"info":"⊺⇮4356⋥≓≎NaN=NaN","layer":1},{"info":"NaN⨐⩸⫘NaN=NaN","layer":0}]}
{"id":372,"expression_no_base_symbol":"((⨰⫟⨤($2346$⩷∴$1977$))↪⪝)≧⫂∧(≤/($1222$∀⇚≩$2668$)⪢(⊄⩳↩$3649$))","expression":"((⨰⫟⨤(⊺⇮2346⩷∴⊺⇮1977))↪⪝)≧⫂∧(≤/(⊺⇮1222∀⇚≩⊺⇮2668)⪢(⊄⩳↩⊺⇮3649))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":21501,"operation_count":8,"complexity_ratio":2687.625,"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":2346,"base":10},"right_expr":{"type":"numeric_atoms","value":1977,"base":10}}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1222,"base":10},"right_expr":{"type":"numeric_atoms","value":2668,"base":10}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":3649,"base":10}}}}},"used_operators":["Ph9nP6C5qx","l07mrZUIn9","Tw270M8GLb","9FxExcQeMw","eLAdDNolq6","dWAJyo7jo9","LRNGc0VcxI","8w2t5hMYqp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","rysDP5nf3Z","k8jYdgA6NY","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2346","layer":4},{"info":"number node, value=1977","layer":4},{"info":"compute binary expreesion, left_input=2346, right_input=1977, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=706","layer":3},{"info":"compute unary expreesion, input=706, 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 = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=nan","layer":1},{"info":"number node, value=1222","layer":4},{"info":"number node, value=2668","layer":4},{"info":"compute binary expreesion, left_input=1222, right_input=2668, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=3649","layer":4},{"info":"compute unary expreesion, input=3649, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-10947","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-10947, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = eLAdDNolq6, unary_op_definition = '≤/a = { (484-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":10,"result_base":10,"text":"((⨰⫟⨤(⊺⇮2346⩷∴⊺⇮1977))↪⪝)≧⫂∧(≤/(⊺⇮1222∀⇚≩⊺⇮2668)⪢(⊄⩳↩⊺⇮3649))=NaN","reverse_text":"NaN=((⨰⫟⨤(⊺⇮2346⩷∴⊺⇮1977))↪⪝)≧⫂∧(≤/(⊺⇮1222∀⇚≩⊺⇮2668)⪢(⊄⩳↩⊺⇮3649))","cot":[{"info":"⊺⇮2346⩷∴⊺⇮1977=⊺⇮706","layer":3},{"info":"⨰⫟⨤⊺⇮706=NaN","layer":2},{"info":"NaN↪⪝=NaN","layer":1},{"info":"⊺⇮1222∀⇚≩⊺⇮2668=NaN","layer":3},{"info":"⊄⩳↩⊺⇮3649=⊺⇮-10947","layer":3},{"info":"NaN⪢⊺⇮-10947=NaN","layer":2},{"info":"≤/NaN=NaN","layer":1},{"info":"NaN≧⫂∧NaN=NaN","layer":0}]}
{"id":373,"expression_no_base_symbol":"(($1496$+$8853$)⇷($2328$⩚⊴⇥$1345$)⩚⊴⇥($4717$⨓$1523$)⪮%⊝(↩$5062$))⨰($2171$⋓$5646$≎⊠⪸($2013$⊉≛↸$1072$)⨎(⨈⫕($3706$*$2970$)))","expression":"((⊺⇮1496+⊺⇮8853)⇷(⊺⇮2328⩚⊴⇥⊺⇮1345)⩚⊴⇥(⊺⇮4717⨓⊺⇮1523)⪮%⊝(↩⊺⇮5062))⨰(⊺⇮2171⋓⊺⇮5646≎⊠⪸(⊺⇮2013⊉≛↸⊺⇮1072)⨎(⨈⫕(⊺⇮3706*⊺⇮2970)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":149845,"operation_count":14,"complexity_ratio":10703.214285714286,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1496,"base":10},"right_expr":{"type":"numeric_atoms","value":8853,"base":10}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2328,"base":10},"right_expr":{"type":"numeric_atoms","value":1345,"base":10}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":4717,"base":10},"right_expr":{"type":"numeric_atoms","value":1523,"base":10}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":5062,"base":10}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2171,"base":10},"right_expr":{"type":"numeric_atoms","value":5646,"base":10}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2013,"base":10},"right_expr":{"type":"numeric_atoms","value":1072,"base":10}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3706,"base":10},"right_expr":{"type":"numeric_atoms","value":2970,"base":10}}}}},"used_operators":["eewbuw0ToL","NTOWxs364D","mp7IySMOzn","W4YGzv6Whe","IWmyXbctLI","3ViojmjbAp","jLgFTUHLKL","rJVOvQCfKK","bJkvcejdHO","T2fj7uvVaJ","DZ8iAZOCBD","megm06wKyl","9HNa5Wba9A"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1496","layer":4},{"info":"number node, value=8853","layer":4},{"info":"compute binary expreesion, left_input=1496, right_input=8853, op_id = W4YGzv6Whe binary_op_definition= 'None', output=10349","layer":3},{"info":"number node, value=2328","layer":4},{"info":"number node, value=1345","layer":4},{"info":"compute binary expreesion, left_input=2328, right_input=1345, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3794","layer":3},{"info":"compute binary expreesion, left_input=10349, right_input=-3794, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"number node, value=4717","layer":4},{"info":"number node, value=1523","layer":4},{"info":"compute binary expreesion, left_input=4717, right_input=1523, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1526","layer":3},{"info":"number node, value=5062","layer":4},{"info":"compute unary expreesion, input=5062, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-37716","layer":3},{"info":"compute binary expreesion, left_input=-1526, right_input=-37716, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-2736","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2736, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"number node, value=2171","layer":4},{"info":"number node, value=5646","layer":4},{"info":"compute binary expreesion, left_input=2171, right_input=5646, op_id = T2fj7uvVaJ binary_op_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=2013","layer":4},{"info":"number node, value=1072","layer":4},{"info":"compute binary expreesion, left_input=2013, right_input=1072, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4026","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4026, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=-473","layer":2},{"info":"number node, value=3706","layer":4},{"info":"number node, value=2970","layer":4},{"info":"compute binary expreesion, left_input=3706, right_input=2970, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=11006820","layer":3},{"info":"compute unary expreesion, input=11006820, 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=-473, right_input=-21, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-21","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-21, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1496+⊺⇮8853)⇷(⊺⇮2328⩚⊴⇥⊺⇮1345)⩚⊴⇥(⊺⇮4717⨓⊺⇮1523)⪮%⊝(↩⊺⇮5062))⨰(⊺⇮2171⋓⊺⇮5646≎⊠⪸(⊺⇮2013⊉≛↸⊺⇮1072)⨎(⨈⫕(⊺⇮3706*⊺⇮2970)))=NaN","reverse_text":"NaN=((⊺⇮1496+⊺⇮8853)⇷(⊺⇮2328⩚⊴⇥⊺⇮1345)⩚⊴⇥(⊺⇮4717⨓⊺⇮1523)⪮%⊝(↩⊺⇮5062))⨰(⊺⇮2171⋓⊺⇮5646≎⊠⪸(⊺⇮2013⊉≛↸⊺⇮1072)⨎(⨈⫕(⊺⇮3706*⊺⇮2970)))","cot":[{"info":"⊺⇮1496+⊺⇮8853=⊺⇮10349","layer":3},{"info":"⊺⇮2328⩚⊴⇥⊺⇮1345=⊺⇮-3794","layer":3},{"info":"⊺⇮10349⇷⊺⇮-3794=NaN","layer":2},{"info":"⊺⇮4717⨓⊺⇮1523=⊺⇮-1526","layer":3},{"info":"↩⊺⇮5062=⊺⇮-37716","layer":3},{"info":"⊺⇮-1526⪮%⊝⊺⇮-37716=⊺⇮-2736","layer":2},{"info":"NaN⩚⊴⇥⊺⇮-2736=NaN","layer":1},{"info":"⊺⇮2171⋓⊺⇮5646=⊺⇮0","layer":3},{"info":"⊺⇮2013⊉≛↸⊺⇮1072=⊺⇮4026","layer":3},{"info":"⊺⇮0≎⊠⪸⊺⇮4026=⊺⇮-473","layer":2},{"info":"⊺⇮3706*⊺⇮2970=⊺⇮11006820","layer":3},{"info":"⨈⫕⊺⇮11006820=⊺⇮-21","layer":2},{"info":"⊺⇮-473⨎⊺⇮-21=⊺⇮-21","layer":1},{"info":"NaN⨰⊺⇮-21=NaN","layer":0}]}
{"id":374,"expression_no_base_symbol":"(↣≠⋷($1323$≎⊠⪸$1492$⊘))∀⇚≩(($3201$⊴$1072$⋥≓≎($1749$⪒$2919$))∸)","expression":"(↣≠⋷(⊺⇮1323≎⊠⪸⊺⇮1492⊘))∀⇚≩((⊺⇮3201⊴⊺⇮1072⋥≓≎(⊺⇮1749⪒⊺⇮2919))∸)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3764,"operation_count":8,"complexity_ratio":470.5,"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":1323,"base":10},"right_expr":{"type":"numeric_atoms","value":1492,"base":10}}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3201,"base":10},"right_expr":{"type":"numeric_atoms","value":1072,"base":10}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1749,"base":10},"right_expr":{"type":"numeric_atoms","value":2919,"base":10}}}}},"used_operators":["LRNGc0VcxI","Asc51vEJeQ","gu96TGCTMs","bJkvcejdHO","o20kRiQErp","Qy55tPpLXF","Nsiff2A1zJ","f6k1SAg4EE"],"dependent_operators":["X99M06cbEe","XhwjNDsVaA","AHs5Up7iyr","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","tmPS8pqC7x","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1323","layer":4},{"info":"number node, value=1492","layer":4},{"info":"compute binary expreesion, left_input=1323, right_input=1492, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=342184","layer":3},{"info":"compute unary expreesion, input=342184, 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 = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"number node, value=3201","layer":4},{"info":"number node, value=1072","layer":4},{"info":"compute binary expreesion, left_input=3201, right_input=1072, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1749","layer":4},{"info":"number node, value=2919","layer":4},{"info":"compute binary expreesion, left_input=1749, right_input=2919, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4668","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4668, 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 = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=177, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":10,"result_base":10,"text":"(↣≠⋷(⊺⇮1323≎⊠⪸⊺⇮1492⊘))∀⇚≩((⊺⇮3201⊴⊺⇮1072⋥≓≎(⊺⇮1749⪒⊺⇮2919))∸)=NaN","reverse_text":"NaN=(↣≠⋷(⊺⇮1323≎⊠⪸⊺⇮1492⊘))∀⇚≩((⊺⇮3201⊴⊺⇮1072⋥≓≎(⊺⇮1749⪒⊺⇮2919))∸)","cot":[{"info":"⊺⇮1323≎⊠⪸⊺⇮1492=⊺⇮342184","layer":3},{"info":"⊺⇮342184⊘=⊺⇮0","layer":2},{"info":"↣≠⋷⊺⇮0=NaN","layer":1},{"info":"⊺⇮3201⊴⊺⇮1072=NaN","layer":3},{"info":"⊺⇮1749⪒⊺⇮2919=⊺⇮-4668","layer":3},{"info":"NaN⋥≓≎⊺⇮-4668=⊺⇮67","layer":2},{"info":"⊺⇮67∸=⊺⇮177","layer":1},{"info":"NaN∀⇚≩⊺⇮177=NaN","layer":0}]}
{"id":375,"expression_no_base_symbol":"⨞⊢(($2077$⪄$4646$)⨎($2633$⊪))↬($1757$⨽$1564$↙($2136$⫸⊐$3781$))","expression":"⨞⊢((⊺⇮2077⪄⊺⇮4646)⨎(⊺⇮2633⊪))↬(⊺⇮1757⨽⊺⇮1564↙(⊺⇮2136⫸⊐⊺⇮3781))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1923,"operation_count":8,"complexity_ratio":240.375,"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":2077,"base":10},"right_expr":{"type":"numeric_atoms","value":4646,"base":10}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":2633,"base":10}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1757,"base":10},"right_expr":{"type":"numeric_atoms","value":1564,"base":10}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2136,"base":10},"right_expr":{"type":"numeric_atoms","value":3781,"base":10}}}}},"used_operators":["xUOZtlo3hN","B5M0gjZbta","rJVOvQCfKK","SUmda5xLS4","zVYPLywUTj","yyfyN0ffXY","8HhzD0ZcuI","mqXw5SEYmG"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","tmPS8pqC7x","DpFCA1CohY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⊺⇮9264351","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2077","layer":4},{"info":"number node, value=4646","layer":4},{"info":"compute binary expreesion, left_input=2077, right_input=4646, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-322069","layer":3},{"info":"number node, value=2633","layer":4},{"info":"compute unary expreesion, input=2633, 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=-322069, 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=1757","layer":4},{"info":"number node, value=1564","layer":4},{"info":"compute binary expreesion, left_input=1757, right_input=1564, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-9264525","layer":3},{"info":"number node, value=2136","layer":4},{"info":"number node, value=3781","layer":4},{"info":"compute binary expreesion, left_input=2136, right_input=3781, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=14999","layer":3},{"info":"compute binary expreesion, left_input=-9264525, right_input=14999, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-9264525","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-9264525, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=-9264525","layer":1},{"info":"compute unary expreesion, input=-9264525, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=9264351","layer":0}],"base":10,"result_base":10,"text":"⨞⊢((⊺⇮2077⪄⊺⇮4646)⨎(⊺⇮2633⊪))↬(⊺⇮1757⨽⊺⇮1564↙(⊺⇮2136⫸⊐⊺⇮3781))=⊺⇮9264351","reverse_text":"⊺⇮9264351=⨞⊢((⊺⇮2077⪄⊺⇮4646)⨎(⊺⇮2633⊪))↬(⊺⇮1757⨽⊺⇮1564↙(⊺⇮2136⫸⊐⊺⇮3781))","cot":[{"info":"⊺⇮2077⪄⊺⇮4646=⊺⇮-322069","layer":3},{"info":"⊺⇮2633⊪=⊺⇮0","layer":3},{"info":"⊺⇮-322069⨎⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮1757⨽⊺⇮1564=⊺⇮-9264525","layer":3},{"info":"⊺⇮2136⫸⊐⊺⇮3781=⊺⇮14999","layer":3},{"info":"⊺⇮-9264525↙⊺⇮14999=⊺⇮-9264525","layer":2},{"info":"⊺⇮0↬⊺⇮-9264525=⊺⇮-9264525","layer":1},{"info":"⨞⊢⊺⇮-9264525=⊺⇮9264351","layer":0}]}
{"id":376,"expression_no_base_symbol":"(⫓⪴$1630$)⊴($1384$⪮%⊝$7528$)⫥∨⫟(($1676$↪⪝)⫸⊐$2439$+⇶⊼$1903$)-((⩦⩻⨪$1389$)⨸⪁$2381$≹⇙⪍$1367$)∑⇟⊟(($3551$⪐)≎⊠⪸$3373$⋝⋈⪟$4071$)","expression":"(⫓⪴⊺⇮1630)⊴(⊺⇮1384⪮%⊝⊺⇮7528)⫥∨⫟((⊺⇮1676↪⪝)⫸⊐⊺⇮2439+⇶⊼⊺⇮1903)-((⩦⩻⨪⊺⇮1389)⨸⪁⊺⇮2381≹⇙⪍⊺⇮1367)∑⇟⊟((⊺⇮3551⪐)≎⊠⪸⊺⇮3373⋝⋈⪟⊺⇮4071)","highest_n_order":5,"priority_hierarchical_complexity":14,"normalized_expansion_degree":42825,"operation_count":15,"complexity_ratio":2855.0,"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":1630,"base":10}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1384,"base":10},"right_expr":{"type":"numeric_atoms","value":7528,"base":10}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1676,"base":10}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2439,"base":10},"right_expr":{"type":"numeric_atoms","value":1903,"base":10}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1389,"base":10}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2381,"base":10},"right_expr":{"type":"numeric_atoms","value":1367,"base":10}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":3551,"base":10}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3373,"base":10},"right_expr":{"type":"numeric_atoms","value":4071,"base":10}}}}},"used_operators":["rysDP5nf3Z","KYD54nUTWz","Nsiff2A1zJ","eLxqMNBOBk","IWmyXbctLI","mqXw5SEYmG","l07mrZUIn9","TpPTUOHfaN","U7g4x0WXJJ","g55IO6H4Gj","2td37pGCOC","AHs5Up7iyr","bJkvcejdHO","eH2TOUuTDT","2DDjHMKMc0"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9","14qkJME0vr","9HNa5Wba9A","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9HNa5Wba9A","2DDjHMKMc0","AHs5Up7iyr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1630","layer":4},{"info":"compute unary expreesion, input=1630, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=2656900","layer":3},{"info":"number node, value=1384","layer":4},{"info":"number node, value=7528","layer":4},{"info":"compute binary expreesion, left_input=1384, right_input=7528, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3084","layer":3},{"info":"compute binary expreesion, left_input=2656900, right_input=3084, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=1676","layer":4},{"info":"compute unary expreesion, input=1676, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=102541032","layer":3},{"info":"number node, value=2439","layer":4},{"info":"number node, value=1903","layer":4},{"info":"compute binary expreesion, left_input=2439, right_input=1903, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=102541032, 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=nan, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1389","layer":4},{"info":"compute unary expreesion, input=1389, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1389","layer":3},{"info":"number node, value=2381","layer":4},{"info":"number node, value=1367","layer":4},{"info":"compute binary expreesion, left_input=2381, right_input=1367, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=1389, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"number node, value=3551","layer":4},{"info":"compute unary expreesion, input=3551, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=7102","layer":3},{"info":"number node, value=3373","layer":4},{"info":"number node, value=4071","layer":4},{"info":"compute binary expreesion, left_input=3373, right_input=4071, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3373","layer":3},{"info":"compute binary expreesion, left_input=7102, right_input=3373, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1838945","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1838945, 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 = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⫓⪴⊺⇮1630)⊴(⊺⇮1384⪮%⊝⊺⇮7528)⫥∨⫟((⊺⇮1676↪⪝)⫸⊐⊺⇮2439+⇶⊼⊺⇮1903)-((⩦⩻⨪⊺⇮1389)⨸⪁⊺⇮2381≹⇙⪍⊺⇮1367)∑⇟⊟((⊺⇮3551⪐)≎⊠⪸⊺⇮3373⋝⋈⪟⊺⇮4071)=NaN","reverse_text":"NaN=(⫓⪴⊺⇮1630)⊴(⊺⇮1384⪮%⊝⊺⇮7528)⫥∨⫟((⊺⇮1676↪⪝)⫸⊐⊺⇮2439+⇶⊼⊺⇮1903)-((⩦⩻⨪⊺⇮1389)⨸⪁⊺⇮2381≹⇙⪍⊺⇮1367)∑⇟⊟((⊺⇮3551⪐)≎⊠⪸⊺⇮3373⋝⋈⪟⊺⇮4071)","cot":[{"info":"⫓⪴⊺⇮1630=⊺⇮2656900","layer":3},{"info":"⊺⇮1384⪮%⊝⊺⇮7528=⊺⇮3084","layer":3},{"info":"⊺⇮2656900⊴⊺⇮3084=NaN","layer":2},{"info":"⊺⇮1676↪⪝=⊺⇮102541032","layer":3},{"info":"⊺⇮2439+⇶⊼⊺⇮1903=NaN","layer":3},{"info":"⊺⇮102541032⫸⊐NaN=NaN","layer":2},{"info":"NaN⫥∨⫟NaN=NaN","layer":1},{"info":"⩦⩻⨪⊺⇮1389=⊺⇮1389","layer":3},{"info":"⊺⇮2381≹⇙⪍⊺⇮1367=NaN","layer":3},{"info":"⊺⇮1389⨸⪁NaN=NaN","layer":2},{"info":"⊺⇮3551⪐=⊺⇮7102","layer":3},{"info":"⊺⇮3373⋝⋈⪟⊺⇮4071=⊺⇮3373","layer":3},{"info":"⊺⇮7102≎⊠⪸⊺⇮3373=⊺⇮1838945","layer":2},{"info":"NaN∑⇟⊟⊺⇮1838945=NaN","layer":1},{"info":"NaN-NaN=NaN","layer":0}]}
{"id":377,"expression_no_base_symbol":"((∂$3436$)≧⫂∧(⪝⪂⫅$3340$)⋥≓≎(-$1105$↺$5397$))⋝⋈⪟(($1035$⪠⩆⊳)⫥∨⫟($5868$⪒$5933$))⪮%⊝(($3027$⪨≂$3961$)∲⫓$2179$⫸⊐$6784$)","expression":"((∂⊺⇮3436)≧⫂∧(⪝⪂⫅⊺⇮3340)⋥≓≎(-⊺⇮1105↺⊺⇮5397))⋝⋈⪟((⊺⇮1035⪠⩆⊳)⫥∨⫟(⊺⇮5868⪒⊺⇮5933))⪮%⊝((⊺⇮3027⪨≂⊺⇮3961)∲⫓⊺⇮2179⫸⊐⊺⇮6784)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":364,"operation_count":14,"complexity_ratio":26.0,"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":3436,"base":10}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":3340,"base":10}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1105,"base":10},"right_expr":{"type":"numeric_atoms","value":5397,"base":10}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1035,"base":10}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":5868,"base":10},"right_expr":{"type":"numeric_atoms","value":5933,"base":10}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3027,"base":10},"right_expr":{"type":"numeric_atoms","value":3961,"base":10}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2179,"base":10},"right_expr":{"type":"numeric_atoms","value":6784,"base":10}}}}},"used_operators":["2DDjHMKMc0","Qy55tPpLXF","Ph9nP6C5qx","Uaa54Peajs","XTarYq4gQB","t8gj7n24qd","7j4O788W3g","IWmyXbctLI","KYD54nUTWz","JLbD19bQDL","f6k1SAg4EE","i8ToyICDmI","sdazOOVcIp","mqXw5SEYmG"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3436","layer":4},{"info":"compute unary expreesion, input=3436, 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=3340","layer":4},{"info":"compute unary expreesion, input=3340, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-490980","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-490980, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":2},{"info":"number node, value=1105","layer":4},{"info":"number node, value=5397","layer":4},{"info":"compute binary expreesion, left_input=1105, right_input=5397, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5397","layer":3},{"info":"compute unary expreesion, input=5397, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-5397","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-5397, 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=1035","layer":4},{"info":"compute unary expreesion, input=1035, 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=5868","layer":4},{"info":"number node, value=5933","layer":4},{"info":"compute binary expreesion, left_input=5868, right_input=5933, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-11801","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-11801, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=3027","layer":4},{"info":"number node, value=3961","layer":4},{"info":"compute binary expreesion, left_input=3027, right_input=3961, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-1766","layer":3},{"info":"number node, value=2179","layer":4},{"info":"number node, value=6784","layer":4},{"info":"compute binary expreesion, left_input=2179, 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":"compute binary expreesion, left_input=-1766, right_input=27011, 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 = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((∂⊺⇮3436)≧⫂∧(⪝⪂⫅⊺⇮3340)⋥≓≎(-⊺⇮1105↺⊺⇮5397))⋝⋈⪟((⊺⇮1035⪠⩆⊳)⫥∨⫟(⊺⇮5868⪒⊺⇮5933))⪮%⊝((⊺⇮3027⪨≂⊺⇮3961)∲⫓⊺⇮2179⫸⊐⊺⇮6784)=NaN","reverse_text":"NaN=((∂⊺⇮3436)≧⫂∧(⪝⪂⫅⊺⇮3340)⋥≓≎(-⊺⇮1105↺⊺⇮5397))⋝⋈⪟((⊺⇮1035⪠⩆⊳)⫥∨⫟(⊺⇮5868⪒⊺⇮5933))⪮%⊝((⊺⇮3027⪨≂⊺⇮3961)∲⫓⊺⇮2179⫸⊐⊺⇮6784)","cot":[{"info":"∂⊺⇮3436=NaN","layer":3},{"info":"⪝⪂⫅⊺⇮3340=⊺⇮-490980","layer":3},{"info":"NaN≧⫂∧⊺⇮-490980=NaN","layer":2},{"info":"⊺⇮1105↺⊺⇮5397=⊺⇮5397","layer":3},{"info":"-⊺⇮5397=⊺⇮-5397","layer":2},{"info":"NaN⋥≓≎⊺⇮-5397=⊺⇮67","layer":1},{"info":"⊺⇮1035⪠⩆⊳=⊺⇮0","layer":3},{"info":"⊺⇮5868⪒⊺⇮5933=⊺⇮-11801","layer":3},{"info":"⊺⇮0⫥∨⫟⊺⇮-11801=NaN","layer":2},{"info":"⊺⇮3027⪨≂⊺⇮3961=⊺⇮-1766","layer":3},{"info":"⊺⇮2179⫸⊐⊺⇮6784=⊺⇮27011","layer":3},{"info":"⊺⇮-1766∲⫓⊺⇮27011=⊺⇮0","layer":2},{"info":"NaN⪮%⊝⊺⇮0=NaN","layer":1},{"info":"⊺⇮67⋝⋈⪟NaN=NaN","layer":0}]}
{"id":378,"expression_no_base_symbol":"($2747$⨽$1524$+$8224$≧⫂∧$3740$)∲⫓(⩦⩻⨪$1136$≭$1018$)+(↽≂($5901$↺$4588$))⋥≓≎(($4131$-$1968$)⪄$7566$⪮%⊝$2600$)","expression":"(⊺⇮2747⨽⊺⇮1524+⊺⇮8224≧⫂∧⊺⇮3740)∲⫓(⩦⩻⨪⊺⇮1136≭⊺⇮1018)+(↽≂(⊺⇮5901↺⊺⇮4588))⋥≓≎((⊺⇮4131-⊺⇮1968)⪄⊺⇮7566⪮%⊝⊺⇮2600)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2877,"operation_count":13,"complexity_ratio":221.30769230769232,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2747,"base":10},"right_expr":{"type":"numeric_atoms","value":1524,"base":10}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":8224,"base":10},"right_expr":{"type":"numeric_atoms","value":3740,"base":10}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1136,"base":10},"right_expr":{"type":"numeric_atoms","value":1018,"base":10}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":5901,"base":10},"right_expr":{"type":"numeric_atoms","value":4588,"base":10}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4131,"base":10},"right_expr":{"type":"numeric_atoms","value":1968,"base":10}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":7566,"base":10},"right_expr":{"type":"numeric_atoms","value":2600,"base":10}}}}},"used_operators":["W4YGzv6Whe","i8ToyICDmI","8HhzD0ZcuI","Ph9nP6C5qx","2td37pGCOC","rxpJgHHUmx","Qy55tPpLXF","u6S6b8DprG","7j4O788W3g","SUmda5xLS4","rysDP5nf3Z","IWmyXbctLI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2747","layer":4},{"info":"number node, value=1524","layer":4},{"info":"compute binary expreesion, left_input=2747, right_input=1524, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-22641285","layer":3},{"info":"number node, value=8224","layer":4},{"info":"number node, value=3740","layer":4},{"info":"compute binary expreesion, left_input=8224, right_input=3740, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3267","layer":3},{"info":"compute binary expreesion, left_input=-22641285, right_input=3267, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-22638018","layer":2},{"info":"number node, value=1136","layer":4},{"info":"number node, value=1018","layer":4},{"info":"compute binary expreesion, left_input=1136, right_input=1018, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"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=-22638018, 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=5901","layer":4},{"info":"number node, value=4588","layer":4},{"info":"compute binary expreesion, left_input=5901, right_input=4588, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4588","layer":3},{"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":2},{"info":"number node, value=4131","layer":4},{"info":"number node, value=1968","layer":4},{"info":"compute binary expreesion, left_input=4131, right_input=1968, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2163","layer":3},{"info":"number node, value=7566","layer":4},{"info":"number node, value=2600","layer":4},{"info":"compute binary expreesion, left_input=7566, right_input=2600, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=15448","layer":3},{"info":"compute binary expreesion, left_input=2163, right_input=15448, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-378005","layer":2},{"info":"compute binary expreesion, left_input=-9176, right_input=-378005, 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 = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮2747⨽⊺⇮1524+⊺⇮8224≧⫂∧⊺⇮3740)∲⫓(⩦⩻⨪⊺⇮1136≭⊺⇮1018)+(↽≂(⊺⇮5901↺⊺⇮4588))⋥≓≎((⊺⇮4131-⊺⇮1968)⪄⊺⇮7566⪮%⊝⊺⇮2600)=NaN","reverse_text":"NaN=(⊺⇮2747⨽⊺⇮1524+⊺⇮8224≧⫂∧⊺⇮3740)∲⫓(⩦⩻⨪⊺⇮1136≭⊺⇮1018)+(↽≂(⊺⇮5901↺⊺⇮4588))⋥≓≎((⊺⇮4131-⊺⇮1968)⪄⊺⇮7566⪮%⊝⊺⇮2600)","cot":[{"info":"⊺⇮2747⨽⊺⇮1524=⊺⇮-22641285","layer":3},{"info":"⊺⇮8224≧⫂∧⊺⇮3740=⊺⇮3267","layer":3},{"info":"⊺⇮-22641285+⊺⇮3267=⊺⇮-22638018","layer":2},{"info":"⊺⇮1136≭⊺⇮1018=NaN","layer":3},{"info":"⩦⩻⨪NaN=NaN","layer":2},{"info":"⊺⇮-22638018∲⫓NaN=NaN","layer":1},{"info":"⊺⇮5901↺⊺⇮4588=⊺⇮4588","layer":3},{"info":"↽≂⊺⇮4588=⊺⇮-9176","layer":2},{"info":"⊺⇮4131-⊺⇮1968=⊺⇮2163","layer":3},{"info":"⊺⇮7566⪮%⊝⊺⇮2600=⊺⇮15448","layer":3},{"info":"⊺⇮2163⪄⊺⇮15448=⊺⇮-378005","layer":2},{"info":"⊺⇮-9176⋥≓≎⊺⇮-378005=⊺⇮67","layer":1},{"info":"NaN+⊺⇮67=NaN","layer":0}]}
{"id":379,"expression_no_base_symbol":"(($3914$⨟⋌⩍$1520$⩠)⪐)⊭∹↮","expression":"((⊺⇮3914⨟⋌⩍⊺⇮1520⩠)⪐)⊭∹↮","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":27,"operation_count":4,"complexity_ratio":6.75,"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":3914,"base":10},"right_expr":{"type":"numeric_atoms","value":1520,"base":10}}}}},"used_operators":["xNBdhnnwKq","eH2TOUuTDT","sJAwomhLZr","rGHVDoGpnC"],"dependent_operators":["2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=3914","layer":4},{"info":"number node, value=1520","layer":4},{"info":"compute binary expreesion, left_input=3914, right_input=1520, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮3914⨟⋌⩍⊺⇮1520⩠)⪐)⊭∹↮=NaN","reverse_text":"NaN=((⊺⇮3914⨟⋌⩍⊺⇮1520⩠)⪐)⊭∹↮","cot":[{"info":"⊺⇮3914⨟⋌⩍⊺⇮1520=NaN","layer":3},{"info":"NaN⩠=NaN","layer":2},{"info":"NaN⪐=NaN","layer":1},{"info":"NaN⊭∹↮=NaN","layer":0}]}
{"id":380,"expression_no_base_symbol":"((∥⊫$1996$∀⇚≩$1064$)↙(+⊝⨔($1086$⨳⩥⨓$2950$)))∼(⨑⩽⪐($4767$≦≮≮)⩷∴(∥⊫$2351$))","expression":"((∥⊫⊺⇮1996∀⇚≩⊺⇮1064)↙(+⊝⨔(⊺⇮1086⨳⩥⨓⊺⇮2950)))∼(⨑⩽⪐(⊺⇮4767≦≮≮)⩷∴(∥⊫⊺⇮2351))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":14042,"operation_count":10,"complexity_ratio":1404.2,"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":1996,"base":10},"right_expr":{"type":"numeric_atoms","value":1064,"base":10}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1086,"base":10},"right_expr":{"type":"numeric_atoms","value":2950,"base":10}}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":4767,"base":10}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":2351,"base":10}}}}},"used_operators":["DyGG3AbaNP","yyfyN0ffXY","P8v4zCKN1o","LRNGc0VcxI","DhbWaqg5eL","nCS4ZIUYfx","AF7qkfDlqP","9FxExcQeMw","D4vGDi5EA2"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1996","layer":4},{"info":"number node, value=1064","layer":4},{"info":"compute binary expreesion, left_input=1996, right_input=1064, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":2},{"info":"number node, value=1086","layer":4},{"info":"number node, value=2950","layer":4},{"info":"compute binary expreesion, left_input=1086, right_input=2950, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1864","layer":3},{"info":"compute unary expreesion, input=1864, 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 = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":1},{"info":"number node, value=4767","layer":4},{"info":"compute unary expreesion, input=4767, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-14301","layer":3},{"info":"number node, value=2351","layer":4},{"info":"compute unary expreesion, input=2351, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3219","layer":3},{"info":"compute binary expreesion, left_input=-14301, right_input=3219, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-35072","layer":2},{"info":"compute unary expreesion, input=-35072, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=70933","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=70933, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((∥⊫⊺⇮1996∀⇚≩⊺⇮1064)↙(+⊝⨔(⊺⇮1086⨳⩥⨓⊺⇮2950)))∼(⨑⩽⪐(⊺⇮4767≦≮≮)⩷∴(∥⊫⊺⇮2351))=NaN","reverse_text":"NaN=((∥⊫⊺⇮1996∀⇚≩⊺⇮1064)↙(+⊝⨔(⊺⇮1086⨳⩥⨓⊺⇮2950)))∼(⨑⩽⪐(⊺⇮4767≦≮≮)⩷∴(∥⊫⊺⇮2351))","cot":[{"info":"⊺⇮1996∀⇚≩⊺⇮1064=NaN","layer":3},{"info":"∥⊫NaN=NaN","layer":2},{"info":"⊺⇮1086⨳⩥⨓⊺⇮2950=⊺⇮1864","layer":3},{"info":"+⊝⨔⊺⇮1864=⊺⇮1522","layer":2},{"info":"NaN↙⊺⇮1522=NaN","layer":1},{"info":"⊺⇮4767≦≮≮=⊺⇮-14301","layer":3},{"info":"∥⊫⊺⇮2351=⊺⇮3219","layer":3},{"info":"⊺⇮-14301⩷∴⊺⇮3219=⊺⇮-35072","layer":2},{"info":"⨑⩽⪐⊺⇮-35072=⊺⇮70933","layer":1},{"info":"NaN∼⊺⇮70933=NaN","layer":0}]}
{"id":381,"expression_no_base_symbol":"(($1815$∀⇚≩$3084$⪨≂(≦∁$1611$))⪄(+⊝⨔$5507$)⋓$1089$⪛$2254$)⩚⊴⇥(($6232$↬$4179$)⨟⋌⩍($4105$⋝⋈⪟$4698$)⊦⊿)","expression":"((⊺⇮1815∀⇚≩⊺⇮3084⪨≂(≦∁⊺⇮1611))⪄(+⊝⨔⊺⇮5507)⋓⊺⇮1089⪛⊺⇮2254)⩚⊴⇥((⊺⇮6232↬⊺⇮4179)⨟⋌⩍(⊺⇮4105⋝⋈⪟⊺⇮4698)⊦⊿)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":12804,"operation_count":12,"complexity_ratio":1067.0,"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":1815,"base":10},"right_expr":{"type":"numeric_atoms","value":3084,"base":10}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1611,"base":10}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":5507,"base":10}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1089,"base":10},"right_expr":{"type":"numeric_atoms","value":2254,"base":10}}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":6232,"base":10},"right_expr":{"type":"numeric_atoms","value":4179,"base":10}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4105,"base":10},"right_expr":{"type":"numeric_atoms","value":4698,"base":10}}}}},"used_operators":["NTOWxs364D","SUmda5xLS4","sdazOOVcIp","LRNGc0VcxI","9ICcGScMcE","T2fj7uvVaJ","DhbWaqg5eL","uFcxV4UQCh","14qkJME0vr","rGHVDoGpnC","B5M0gjZbta","2DDjHMKMc0"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=1815","layer":4},{"info":"number node, value=3084","layer":4},{"info":"compute binary expreesion, left_input=1815, right_input=3084, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1611","layer":4},{"info":"compute unary expreesion, input=1611, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1611","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1611, op_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=5507","layer":4},{"info":"compute unary expreesion, input=5507, 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=1089","layer":4},{"info":"number node, value=2254","layer":4},{"info":"compute binary expreesion, left_input=1089, right_input=2254, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1089","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=1089, op_id = T2fj7uvVaJ binary_op_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 = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"number node, value=6232","layer":4},{"info":"number node, value=4179","layer":4},{"info":"compute binary expreesion, left_input=6232, right_input=4179, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=4105","layer":4},{"info":"number node, value=4698","layer":4},{"info":"compute binary expreesion, left_input=4105, right_input=4698, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4105","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4105, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3979, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1815∀⇚≩⊺⇮3084⪨≂(≦∁⊺⇮1611))⪄(+⊝⨔⊺⇮5507)⋓⊺⇮1089⪛⊺⇮2254)⩚⊴⇥((⊺⇮6232↬⊺⇮4179)⨟⋌⩍(⊺⇮4105⋝⋈⪟⊺⇮4698)⊦⊿)=NaN","reverse_text":"NaN=((⊺⇮1815∀⇚≩⊺⇮3084⪨≂(≦∁⊺⇮1611))⪄(+⊝⨔⊺⇮5507)⋓⊺⇮1089⪛⊺⇮2254)⩚⊴⇥((⊺⇮6232↬⊺⇮4179)⨟⋌⩍(⊺⇮4105⋝⋈⪟⊺⇮4698)⊦⊿)","cot":[{"info":"⊺⇮1815∀⇚≩⊺⇮3084=NaN","layer":3},{"info":"≦∁⊺⇮1611=⊺⇮1611","layer":3},{"info":"NaN⪨≂⊺⇮1611=NaN","layer":2},{"info":"+⊝⨔⊺⇮5507=⊺⇮1522","layer":3},{"info":"⊺⇮1089⪛⊺⇮2254=⊺⇮1089","layer":3},{"info":"⊺⇮1522⋓⊺⇮1089=⊺⇮0","layer":2},{"info":"NaN⪄⊺⇮0=⊺⇮3979","layer":1},{"info":"⊺⇮6232↬⊺⇮4179=NaN","layer":3},{"info":"⊺⇮4105⋝⋈⪟⊺⇮4698=⊺⇮4105","layer":3},{"info":"NaN⨟⋌⩍⊺⇮4105=NaN","layer":2},{"info":"NaN⊦⊿=NaN","layer":1},{"info":"⊺⇮3979⩚⊴⇥NaN=NaN","layer":0}]}
{"id":382,"expression_no_base_symbol":"⨑⩽⪐(⋗⩬⋾($2051$⨸⪁$1766$)⊴($6110$⨵⪆$7466$))","expression":"⨑⩽⪐(⋗⩬⋾(⊺⇮2051⨸⪁⊺⇮1766)⊴(⊺⇮6110⨵⪆⊺⇮7466))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":877,"operation_count":5,"complexity_ratio":175.4,"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":2051,"base":10},"right_expr":{"type":"numeric_atoms","value":1766,"base":10}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":6110,"base":10},"right_expr":{"type":"numeric_atoms","value":7466,"base":10}}}}},"used_operators":["AF7qkfDlqP","DpFCA1CohY","Nsiff2A1zJ","g55IO6H4Gj","2DQ55sFlQl"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=2051","layer":4},{"info":"number node, value=1766","layer":4},{"info":"compute binary expreesion, left_input=2051, right_input=1766, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=7634","layer":3},{"info":"number node, value=6110","layer":4},{"info":"number node, value=7466","layer":4},{"info":"compute binary expreesion, left_input=6110, right_input=7466, 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=7634, right_input=160, op_id = Nsiff2A1zJ 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 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":10,"result_base":10,"text":"⨑⩽⪐(⋗⩬⋾(⊺⇮2051⨸⪁⊺⇮1766)⊴(⊺⇮6110⨵⪆⊺⇮7466))=NaN","reverse_text":"NaN=⨑⩽⪐(⋗⩬⋾(⊺⇮2051⨸⪁⊺⇮1766)⊴(⊺⇮6110⨵⪆⊺⇮7466))","cot":[{"info":"⊺⇮2051⨸⪁⊺⇮1766=⊺⇮7634","layer":3},{"info":"⊺⇮6110⨵⪆⊺⇮7466=⊺⇮160","layer":3},{"info":"⊺⇮7634⊴⊺⇮160=NaN","layer":2},{"info":"⋗⩬⋾NaN=NaN","layer":1},{"info":"⨑⩽⪐NaN=NaN","layer":0}]}
{"id":383,"expression_no_base_symbol":"⨵≀≌(($3606$⨐⩸⫘$1187$)⋓(↽≂$1301$))⪢((≤/$1709$)⨸⪁($3698$↛⩡⫤))","expression":"⨵≀≌((⊺⇮3606⨐⩸⫘⊺⇮1187)⋓(↽≂⊺⇮1301))⪢((≤/⊺⇮1709)⨸⪁(⊺⇮3698↛⩡⫤))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":11253,"operation_count":8,"complexity_ratio":1406.625,"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":3606,"base":10},"right_expr":{"type":"numeric_atoms","value":1187,"base":10}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1301,"base":10}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1709,"base":10}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":3698,"base":10}}}}},"used_operators":["srAu1WTS94","dWAJyo7jo9","T2fj7uvVaJ","fu6greOZ01","u6S6b8DprG","g55IO6H4Gj","eLAdDNolq6","FU0Cs4j7VP"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3606","layer":4},{"info":"number node, value=1187","layer":4},{"info":"compute binary expreesion, left_input=3606, right_input=1187, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=1301","layer":4},{"info":"compute unary expreesion, input=1301, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2602","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2602, op_id = T2fj7uvVaJ binary_op_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=1709","layer":4},{"info":"compute unary expreesion, input=1709, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1225","layer":3},{"info":"number node, value=3698","layer":4},{"info":"compute unary expreesion, input=3698, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-554487","layer":3},{"info":"compute binary expreesion, left_input=-1225, right_input=-554487, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-1111424","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-1111424, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⨵≀≌((⊺⇮3606⨐⩸⫘⊺⇮1187)⋓(↽≂⊺⇮1301))⪢((≤/⊺⇮1709)⨸⪁(⊺⇮3698↛⩡⫤))=NaN","reverse_text":"NaN=⨵≀≌((⊺⇮3606⨐⩸⫘⊺⇮1187)⋓(↽≂⊺⇮1301))⪢((≤/⊺⇮1709)⨸⪁(⊺⇮3698↛⩡⫤))","cot":[{"info":"⊺⇮3606⨐⩸⫘⊺⇮1187=NaN","layer":3},{"info":"↽≂⊺⇮1301=⊺⇮-2602","layer":3},{"info":"NaN⋓⊺⇮-2602=⊺⇮0","layer":2},{"info":"≤/⊺⇮1709=⊺⇮-1225","layer":3},{"info":"⊺⇮3698↛⩡⫤=⊺⇮-554487","layer":3},{"info":"⊺⇮-1225⨸⪁⊺⇮-554487=⊺⇮-1111424","layer":2},{"info":"⊺⇮0⪢⊺⇮-1111424=NaN","layer":1},{"info":"⨵≀≌NaN=NaN","layer":0}]}
{"id":384,"expression_no_base_symbol":"($4626$⫥∨⫟$8443$⋥≓≎(≤/$2883$)⊠≄⫣)⊭↱($1115$⫸⊐$1628$)⊴$3276$≹⇙⪍$4835$↬($1859$⊴$1197$⨎$2255$⊴$1421$)","expression":"(⊺⇮4626⫥∨⫟⊺⇮8443⋥≓≎(≤/⊺⇮2883)⊠≄⫣)⊭↱(⊺⇮1115⫸⊐⊺⇮1628)⊴⊺⇮3276≹⇙⪍⊺⇮4835↬(⊺⇮1859⊴⊺⇮1197⨎⊺⇮2255⊴⊺⇮1421)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5415,"operation_count":12,"complexity_ratio":451.25,"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":4626,"base":10},"right_expr":{"type":"numeric_atoms","value":8443,"base":10}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2883,"base":10}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1115,"base":10},"right_expr":{"type":"numeric_atoms","value":1628,"base":10}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3276,"base":10},"right_expr":{"type":"numeric_atoms","value":4835,"base":10}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1859,"base":10},"right_expr":{"type":"numeric_atoms","value":1197,"base":10}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2255,"base":10},"right_expr":{"type":"numeric_atoms","value":1421,"base":10}}}}},"used_operators":["COABgblf1C","DIvbN7qnHd","Qy55tPpLXF","KYD54nUTWz","eLAdDNolq6","B5M0gjZbta","Nsiff2A1zJ","mqXw5SEYmG","AHs5Up7iyr","rJVOvQCfKK"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","rGHVDoGpnC","dWAJyo7jo9","14qkJME0vr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4626","layer":4},{"info":"number node, value=8443","layer":4},{"info":"compute binary expreesion, left_input=4626, right_input=8443, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=2883","layer":4},{"info":"compute unary expreesion, input=2883, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2399","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2399, 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 = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"number node, value=1115","layer":4},{"info":"number node, value=1628","layer":4},{"info":"compute binary expreesion, left_input=1115, right_input=1628, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6387","layer":3},{"info":"number node, value=3276","layer":4},{"info":"number node, value=4835","layer":4},{"info":"compute binary expreesion, left_input=3276, 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":"compute binary expreesion, left_input=6387, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=1859","layer":4},{"info":"number node, value=1197","layer":4},{"info":"compute binary expreesion, left_input=1859, right_input=1197, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=2255","layer":4},{"info":"number node, value=1421","layer":4},{"info":"compute binary expreesion, left_input=2255, right_input=1421, 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 = 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 = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮4626⫥∨⫟⊺⇮8443⋥≓≎(≤/⊺⇮2883)⊠≄⫣)⊭↱(⊺⇮1115⫸⊐⊺⇮1628)⊴⊺⇮3276≹⇙⪍⊺⇮4835↬(⊺⇮1859⊴⊺⇮1197⨎⊺⇮2255⊴⊺⇮1421)=NaN","reverse_text":"NaN=(⊺⇮4626⫥∨⫟⊺⇮8443⋥≓≎(≤/⊺⇮2883)⊠≄⫣)⊭↱(⊺⇮1115⫸⊐⊺⇮1628)⊴⊺⇮3276≹⇙⪍⊺⇮4835↬(⊺⇮1859⊴⊺⇮1197⨎⊺⇮2255⊴⊺⇮1421)","cot":[{"info":"⊺⇮4626⫥∨⫟⊺⇮8443=NaN","layer":3},{"info":"≤/⊺⇮2883=⊺⇮-2399","layer":3},{"info":"NaN⋥≓≎⊺⇮-2399=⊺⇮67","layer":2},{"info":"⊺⇮67⊠≄⫣=⊺⇮0","layer":1},{"info":"⊺⇮1115⫸⊐⊺⇮1628=⊺⇮6387","layer":3},{"info":"⊺⇮3276≹⇙⪍⊺⇮4835=NaN","layer":3},{"info":"⊺⇮6387⊴NaN=NaN","layer":2},{"info":"⊺⇮1859⊴⊺⇮1197=NaN","layer":3},{"info":"⊺⇮2255⊴⊺⇮1421=NaN","layer":3},{"info":"NaN⨎NaN=NaN","layer":2},{"info":"NaN↬NaN=NaN","layer":1},{"info":"⊺⇮0⊭↱NaN=NaN","layer":0}]}
{"id":385,"expression_no_base_symbol":"(∂($1593$⪠⩆⊳)≹⇙⪍($3787$≹⇙⪍$2555$))⨪↰⇹(⪝⪂⫅(≉(⊙↵-$1812$)))","expression":"(∂(⊺⇮1593⪠⩆⊳)≹⇙⪍(⊺⇮3787≹⇙⪍⊺⇮2555))⨪↰⇹(⪝⪂⫅(≉(⊙↵-⊺⇮1812)))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2020,"operation_count":8,"complexity_ratio":252.5,"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":1593,"base":10}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3787,"base":10},"right_expr":{"type":"numeric_atoms","value":2555,"base":10}}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1812,"base":10}}}}},"used_operators":["tmPS8pqC7x","Uaa54Peajs","AHs5Up7iyr","JLbD19bQDL","XTarYq4gQB","e1ybzncUwg","oWn0xqSxBt"],"dependent_operators":["rJVOvQCfKK","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1593","layer":4},{"info":"compute unary expreesion, input=1593, 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=3787","layer":4},{"info":"number node, value=2555","layer":4},{"info":"compute binary expreesion, left_input=3787, right_input=2555, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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 = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":1},{"info":"number node, value=1812","layer":4},{"info":"compute unary expreesion, input=1812, 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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=530","layer":2},{"info":"compute unary expreesion, input=530, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-77910","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-77910, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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":10,"result_base":10,"text":"(∂(⊺⇮1593⪠⩆⊳)≹⇙⪍(⊺⇮3787≹⇙⪍⊺⇮2555))⨪↰⇹(⪝⪂⫅(≉(⊙↵-⊺⇮1812)))=NaN","reverse_text":"NaN=(∂(⊺⇮1593⪠⩆⊳)≹⇙⪍(⊺⇮3787≹⇙⪍⊺⇮2555))⨪↰⇹(⪝⪂⫅(≉(⊙↵-⊺⇮1812)))","cot":[{"info":"⊺⇮1593⪠⩆⊳=⊺⇮0","layer":3},{"info":"⊺⇮3787≹⇙⪍⊺⇮2555=NaN","layer":3},{"info":"⊺⇮0≹⇙⪍NaN=NaN","layer":2},{"info":"∂NaN=NaN","layer":1},{"info":"⊙↵-⊺⇮1812=⊺⇮-1","layer":3},{"info":"≉⊺⇮-1=⊺⇮530","layer":2},{"info":"⪝⪂⫅⊺⇮530=⊺⇮-77910","layer":1},{"info":"NaN⨪↰⇹⊺⇮-77910=NaN","layer":0}]}
{"id":386,"expression_no_base_symbol":"(⊙↵-($2072$⋓$1596$)⪢($2447$⩠))%((($3736$⪨≂$3869$)↛⩡⫤)⫡⨏($2454$⊉≛↸$1610$)↙$4218$⩚⊴⇥$1230$)","expression":"(⊙↵-(⊺⇮2072⋓⊺⇮1596)⪢(⊺⇮2447⩠))%(((⊺⇮3736⪨≂⊺⇮3869)↛⩡⫤)⫡⨏(⊺⇮2454⊉≛↸⊺⇮1610)↙⊺⇮4218⩚⊴⇥⊺⇮1230)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6273,"operation_count":11,"complexity_ratio":570.2727272727273,"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":2072,"base":10},"right_expr":{"type":"numeric_atoms","value":1596,"base":10}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":2447,"base":10}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3736,"base":10},"right_expr":{"type":"numeric_atoms","value":3869,"base":10}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2454,"base":10},"right_expr":{"type":"numeric_atoms","value":1610,"base":10}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4218,"base":10},"right_expr":{"type":"numeric_atoms","value":1230,"base":10}}}}},"used_operators":["k8jYdgA6NY","oWn0xqSxBt","dWAJyo7jo9","T2fj7uvVaJ","sJAwomhLZr","QMFrweE19q","FU0Cs4j7VP","sdazOOVcIp","yyfyN0ffXY","DZ8iAZOCBD","NTOWxs364D"],"dependent_operators":["rysDP5nf3Z","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2072","layer":4},{"info":"number node, value=1596","layer":4},{"info":"compute binary expreesion, left_input=2072, right_input=1596, op_id = T2fj7uvVaJ binary_op_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=2447","layer":4},{"info":"compute unary expreesion, input=2447, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"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":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=3736","layer":4},{"info":"number node, value=3869","layer":4},{"info":"compute binary expreesion, left_input=3736, right_input=3869, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-164","layer":3},{"info":"compute unary expreesion, input=-164, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=3815","layer":2},{"info":"number node, value=2454","layer":4},{"info":"number node, value=1610","layer":4},{"info":"compute binary expreesion, left_input=2454, right_input=1610, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4908","layer":3},{"info":"number node, value=4218","layer":4},{"info":"number node, value=1230","layer":4},{"info":"compute binary expreesion, left_input=4218, right_input=1230, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5569","layer":3},{"info":"compute binary expreesion, left_input=4908, right_input=-5569, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-16707","layer":2},{"info":"compute binary expreesion, left_input=3815, right_input=-16707, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-13556","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-13556, op_id = k8jYdgA6NY binary_op_definition= 'None', output=0","layer":0}],"base":10,"result_base":10,"text":"(⊙↵-(⊺⇮2072⋓⊺⇮1596)⪢(⊺⇮2447⩠))%(((⊺⇮3736⪨≂⊺⇮3869)↛⩡⫤)⫡⨏(⊺⇮2454⊉≛↸⊺⇮1610)↙⊺⇮4218⩚⊴⇥⊺⇮1230)=⊺⇮0","reverse_text":"⊺⇮0=(⊙↵-(⊺⇮2072⋓⊺⇮1596)⪢(⊺⇮2447⩠))%(((⊺⇮3736⪨≂⊺⇮3869)↛⩡⫤)⫡⨏(⊺⇮2454⊉≛↸⊺⇮1610)↙⊺⇮4218⩚⊴⇥⊺⇮1230)","cot":[{"info":"⊺⇮2072⋓⊺⇮1596=⊺⇮0","layer":3},{"info":"⊺⇮2447⩠=⊺⇮0","layer":3},{"info":"⊺⇮0⪢⊺⇮0=⊺⇮0","layer":2},{"info":"⊙↵-⊺⇮0=⊺⇮0","layer":1},{"info":"⊺⇮3736⪨≂⊺⇮3869=⊺⇮-164","layer":3},{"info":"⊺⇮-164↛⩡⫤=⊺⇮3815","layer":2},{"info":"⊺⇮2454⊉≛↸⊺⇮1610=⊺⇮4908","layer":3},{"info":"⊺⇮4218⩚⊴⇥⊺⇮1230=⊺⇮-5569","layer":3},{"info":"⊺⇮4908↙⊺⇮-5569=⊺⇮-16707","layer":2},{"info":"⊺⇮3815⫡⨏⊺⇮-16707=⊺⇮-13556","layer":1},{"info":"⊺⇮0%⊺⇮-13556=⊺⇮0","layer":0}]}
{"id":387,"expression_no_base_symbol":"⊙↵-((($3982$≫≃)⋳⪒($4377$↙$5950$))≭(⨈⫕(⨵≀≌$1988$)))","expression":"⊙↵-(((⊺⇮3982≫≃)⋳⪒(⊺⇮4377↙⊺⇮5950))≭(⨈⫕(⨵≀≌⊺⇮1988)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":75412,"operation_count":7,"complexity_ratio":10773.142857142857,"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":3982,"base":10}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4377,"base":10},"right_expr":{"type":"numeric_atoms","value":5950,"base":10}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1988,"base":10}}}}},"used_operators":["oWn0xqSxBt","rxpJgHHUmx","12rbrZMWeM","X99M06cbEe","yyfyN0ffXY","megm06wKyl","srAu1WTS94"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","tmPS8pqC7x","DpFCA1CohY","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3982","layer":4},{"info":"compute unary expreesion, input=3982, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=9365","layer":3},{"info":"number node, value=4377","layer":4},{"info":"number node, value=5950","layer":4},{"info":"compute binary expreesion, left_input=4377, right_input=5950, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-17850","layer":3},{"info":"compute binary expreesion, left_input=9365, right_input=-17850, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=36293","layer":2},{"info":"number node, value=1988","layer":4},{"info":"compute unary expreesion, input=1988, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-5964","layer":3},{"info":"compute unary expreesion, input=-5964, 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=36293, right_input=-21, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":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":10,"result_base":10,"text":"⊙↵-(((⊺⇮3982≫≃)⋳⪒(⊺⇮4377↙⊺⇮5950))≭(⨈⫕(⨵≀≌⊺⇮1988)))=NaN","reverse_text":"NaN=⊙↵-(((⊺⇮3982≫≃)⋳⪒(⊺⇮4377↙⊺⇮5950))≭(⨈⫕(⨵≀≌⊺⇮1988)))","cot":[{"info":"⊺⇮3982≫≃=⊺⇮9365","layer":3},{"info":"⊺⇮4377↙⊺⇮5950=⊺⇮-17850","layer":3},{"info":"⊺⇮9365⋳⪒⊺⇮-17850=⊺⇮36293","layer":2},{"info":"⨵≀≌⊺⇮1988=⊺⇮-5964","layer":3},{"info":"⨈⫕⊺⇮-5964=⊺⇮-21","layer":2},{"info":"⊺⇮36293≭⊺⇮-21=NaN","layer":1},{"info":"⊙↵-NaN=NaN","layer":0}]}
{"id":388,"expression_no_base_symbol":"(($5085$⨽$2130$)∑⇟⊟($4638$+⇶⊼$5193$)⫸⊐(($5276$⨸⪁$5073$)⊠≄⫣))⊘","expression":"((⊺⇮5085⨽⊺⇮2130)∑⇟⊟(⊺⇮4638+⇶⊼⊺⇮5193)⫸⊐((⊺⇮5276⨸⪁⊺⇮5073)⊠≄⫣))⊘","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5127,"operation_count":7,"complexity_ratio":732.4285714285714,"tree":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":5085,"base":10},"right_expr":{"type":"numeric_atoms","value":2130,"base":10}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4638,"base":10},"right_expr":{"type":"numeric_atoms","value":5193,"base":10}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":5276,"base":10},"right_expr":{"type":"numeric_atoms","value":5073,"base":10}}}}},"used_operators":["gu96TGCTMs","mqXw5SEYmG","U7g4x0WXJJ","8HhzD0ZcuI","TpPTUOHfaN","DIvbN7qnHd","g55IO6H4Gj"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5085","layer":4},{"info":"number node, value=2130","layer":4},{"info":"compute binary expreesion, left_input=5085, right_input=2130, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-77576751","layer":3},{"info":"number node, value=4638","layer":4},{"info":"number node, value=5193","layer":4},{"info":"compute binary expreesion, left_input=4638, right_input=5193, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=-77576751, 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=5276","layer":4},{"info":"number node, value=5073","layer":4},{"info":"compute binary expreesion, left_input=5276, right_input=5073, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=20698","layer":3},{"info":"compute unary expreesion, input=20698, 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 = 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":10,"result_base":10,"text":"((⊺⇮5085⨽⊺⇮2130)∑⇟⊟(⊺⇮4638+⇶⊼⊺⇮5193)⫸⊐((⊺⇮5276⨸⪁⊺⇮5073)⊠≄⫣))⊘=NaN","reverse_text":"NaN=((⊺⇮5085⨽⊺⇮2130)∑⇟⊟(⊺⇮4638+⇶⊼⊺⇮5193)⫸⊐((⊺⇮5276⨸⪁⊺⇮5073)⊠≄⫣))⊘","cot":[{"info":"⊺⇮5085⨽⊺⇮2130=⊺⇮-77576751","layer":3},{"info":"⊺⇮4638+⇶⊼⊺⇮5193=NaN","layer":3},{"info":"⊺⇮-77576751∑⇟⊟NaN=NaN","layer":2},{"info":"⊺⇮5276⨸⪁⊺⇮5073=⊺⇮20698","layer":3},{"info":"⊺⇮20698⊠≄⫣=⊺⇮0","layer":2},{"info":"NaN⫸⊐⊺⇮0=NaN","layer":1},{"info":"NaN⊘=NaN","layer":0}]}
{"id":389,"expression_no_base_symbol":"(($1543$≋⫹)⨽(↥$2263$)↺((⩦⩻⨪$2252$)⪄($2482$⫡⨏$3865$)))≫≃","expression":"((⊺⇮1543≋⫹)⨽(↥⊺⇮2263)↺((⩦⩻⨪⊺⇮2252)⪄(⊺⇮2482⫡⨏⊺⇮3865)))≫≃","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3256,"operation_count":8,"complexity_ratio":407.0,"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":1543,"base":10}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2263,"base":10}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2252,"base":10}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2482,"base":10},"right_expr":{"type":"numeric_atoms","value":3865,"base":10}}}}},"used_operators":["X99M06cbEe","7j4O788W3g","8HhzD0ZcuI","N41Kp7NANJ","A8NUZmVepG","SUmda5xLS4","2td37pGCOC","QMFrweE19q"],"dependent_operators":["2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮-824753","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1543","layer":4},{"info":"compute unary expreesion, input=1543, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-3086","layer":3},{"info":"number node, value=2263","layer":4},{"info":"compute unary expreesion, input=2263, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=19","layer":3},{"info":"compute binary expreesion, left_input=-3086, right_input=19, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-28568931","layer":2},{"info":"number node, value=2252","layer":4},{"info":"compute unary expreesion, input=2252, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2252","layer":3},{"info":"number node, value=2482","layer":4},{"info":"number node, value=3865","layer":4},{"info":"compute binary expreesion, left_input=2482, right_input=3865, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=20923","layer":3},{"info":"compute binary expreesion, left_input=2252, right_input=20923, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-413077","layer":2},{"info":"compute binary expreesion, left_input=-28568931, right_input=-413077, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-413077","layer":1},{"info":"compute unary expreesion, input=-413077, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=-824753","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1543≋⫹)⨽(↥⊺⇮2263)↺((⩦⩻⨪⊺⇮2252)⪄(⊺⇮2482⫡⨏⊺⇮3865)))≫≃=⊺⇮-824753","reverse_text":"⊺⇮-824753=((⊺⇮1543≋⫹)⨽(↥⊺⇮2263)↺((⩦⩻⨪⊺⇮2252)⪄(⊺⇮2482⫡⨏⊺⇮3865)))≫≃","cot":[{"info":"⊺⇮1543≋⫹=⊺⇮-3086","layer":3},{"info":"↥⊺⇮2263=⊺⇮19","layer":3},{"info":"⊺⇮-3086⨽⊺⇮19=⊺⇮-28568931","layer":2},{"info":"⩦⩻⨪⊺⇮2252=⊺⇮2252","layer":3},{"info":"⊺⇮2482⫡⨏⊺⇮3865=⊺⇮20923","layer":3},{"info":"⊺⇮2252⪄⊺⇮20923=⊺⇮-413077","layer":2},{"info":"⊺⇮-28568931↺⊺⇮-413077=⊺⇮-413077","layer":1},{"info":"⊺⇮-413077≫≃=⊺⇮-824753","layer":0}]}
{"id":390,"expression_no_base_symbol":"(↣≠⋷(($1372$⊪)∧))⨎($5608$⪢$2106$⋝⋈⪟($2290$↙$6223$)*$1552$⩷∴$8624$≧⫂∧($1907$⋓$7603$))","expression":"(↣≠⋷((⊺⇮1372⊪)∧))⨎(⊺⇮5608⪢⊺⇮2106⋝⋈⪟(⊺⇮2290↙⊺⇮6223)*⊺⇮1552⩷∴⊺⇮8624≧⫂∧(⊺⇮1907⋓⊺⇮7603))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":9683,"operation_count":11,"complexity_ratio":880.2727272727273,"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":1372,"base":10}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":5608,"base":10},"right_expr":{"type":"numeric_atoms","value":2106,"base":10}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2290,"base":10},"right_expr":{"type":"numeric_atoms","value":6223,"base":10}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1552,"base":10},"right_expr":{"type":"numeric_atoms","value":8624,"base":10}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1907,"base":10},"right_expr":{"type":"numeric_atoms","value":7603,"base":10}}}}},"used_operators":["rJVOvQCfKK","Asc51vEJeQ","z63VuFQld9","zVYPLywUTj","9HNa5Wba9A","2DDjHMKMc0","dWAJyo7jo9","yyfyN0ffXY","Ph9nP6C5qx","9FxExcQeMw","T2fj7uvVaJ"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","XhwjNDsVaA","AHs5Up7iyr","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1372","layer":4},{"info":"compute unary expreesion, input=1372, 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 = 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 = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"number node, value=5608","layer":4},{"info":"number node, value=2106","layer":4},{"info":"compute binary expreesion, left_input=5608, right_input=2106, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=2290","layer":4},{"info":"number node, value=6223","layer":4},{"info":"compute binary expreesion, left_input=2290, right_input=6223, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-18669","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-18669, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=1552","layer":4},{"info":"number node, value=8624","layer":4},{"info":"compute binary expreesion, left_input=1552, right_input=8624, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-14176","layer":3},{"info":"number node, value=1907","layer":4},{"info":"number node, value=7603","layer":4},{"info":"compute binary expreesion, left_input=1907, right_input=7603, op_id = T2fj7uvVaJ binary_op_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=-14176, 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 = 9HNa5Wba9A binary_op_definition= 'None', 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":10,"result_base":10,"text":"(↣≠⋷((⊺⇮1372⊪)∧))⨎(⊺⇮5608⪢⊺⇮2106⋝⋈⪟(⊺⇮2290↙⊺⇮6223)*⊺⇮1552⩷∴⊺⇮8624≧⫂∧(⊺⇮1907⋓⊺⇮7603))=NaN","reverse_text":"NaN=(↣≠⋷((⊺⇮1372⊪)∧))⨎(⊺⇮5608⪢⊺⇮2106⋝⋈⪟(⊺⇮2290↙⊺⇮6223)*⊺⇮1552⩷∴⊺⇮8624≧⫂∧(⊺⇮1907⋓⊺⇮7603))","cot":[{"info":"⊺⇮1372⊪=⊺⇮0","layer":3},{"info":"⊺⇮0∧=⊺⇮0","layer":2},{"info":"↣≠⋷⊺⇮0=NaN","layer":1},{"info":"⊺⇮5608⪢⊺⇮2106=NaN","layer":3},{"info":"⊺⇮2290↙⊺⇮6223=⊺⇮-18669","layer":3},{"info":"NaN⋝⋈⪟⊺⇮-18669=NaN","layer":2},{"info":"⊺⇮1552⩷∴⊺⇮8624=⊺⇮-14176","layer":3},{"info":"⊺⇮1907⋓⊺⇮7603=⊺⇮0","layer":3},{"info":"⊺⇮-14176≧⫂∧⊺⇮0=⊺⇮-473","layer":2},{"info":"NaN*⊺⇮-473=NaN","layer":1},{"info":"NaN⨎NaN=NaN","layer":0}]}
{"id":391,"expression_no_base_symbol":"($1655$⋳⪒$1893$)⨪↰⇹($2611$⋓$7285$)∑⇟⊟($8861$⊭↱$8813$)⪢($1141$⨓$2056$)⨳⩥⨓(($4415$⪨≂$2905$)⨐⩸⫘$2787$⊴$2936$⫸⊐$2004$+⇶⊼$1411$⪄($2158$⋷$2924$))","expression":"(⊺⇮1655⋳⪒⊺⇮1893)⨪↰⇹(⊺⇮2611⋓⊺⇮7285)∑⇟⊟(⊺⇮8861⊭↱⊺⇮8813)⪢(⊺⇮1141⨓⊺⇮2056)⨳⩥⨓((⊺⇮4415⪨≂⊺⇮2905)⨐⩸⫘⊺⇮2787⊴⊺⇮2936⫸⊐⊺⇮2004+⇶⊼⊺⇮1411⪄(⊺⇮2158⋷⊺⇮2924))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":8259,"operation_count":15,"complexity_ratio":550.6,"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":1655,"base":10},"right_expr":{"type":"numeric_atoms","value":1893,"base":10}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2611,"base":10},"right_expr":{"type":"numeric_atoms","value":7285,"base":10}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":8861,"base":10},"right_expr":{"type":"numeric_atoms","value":8813,"base":10}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1141,"base":10},"right_expr":{"type":"numeric_atoms","value":2056,"base":10}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4415,"base":10},"right_expr":{"type":"numeric_atoms","value":2905,"base":10}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2787,"base":10},"right_expr":{"type":"numeric_atoms","value":2936,"base":10}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2004,"base":10},"right_expr":{"type":"numeric_atoms","value":1411,"base":10}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2158,"base":10},"right_expr":{"type":"numeric_atoms","value":2924,"base":10}}}}},"used_operators":["nCS4ZIUYfx","U7g4x0WXJJ","tmPS8pqC7x","12rbrZMWeM","T2fj7uvVaJ","dWAJyo7jo9","COABgblf1C","3ViojmjbAp","mqXw5SEYmG","fu6greOZ01","sdazOOVcIp","Nsiff2A1zJ","SUmda5xLS4","TpPTUOHfaN","23Mk6UjR3U"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1655","layer":4},{"info":"number node, value=1893","layer":4},{"info":"compute binary expreesion, left_input=1655, right_input=1893, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1130","layer":3},{"info":"number node, value=2611","layer":4},{"info":"number node, value=7285","layer":4},{"info":"compute binary expreesion, left_input=2611, right_input=7285, op_id = T2fj7uvVaJ binary_op_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=1130, 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=1130","layer":2},{"info":"number node, value=8861","layer":4},{"info":"number node, value=8813","layer":4},{"info":"compute binary expreesion, left_input=8861, right_input=8813, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-91","layer":3},{"info":"number node, value=1141","layer":4},{"info":"number node, value=2056","layer":4},{"info":"compute binary expreesion, left_input=1141, right_input=2056, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2059","layer":3},{"info":"compute binary expreesion, left_input=-91, right_input=-2059, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1130, 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=4415","layer":4},{"info":"number node, value=2905","layer":4},{"info":"compute binary expreesion, left_input=4415, right_input=2905, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=3122","layer":3},{"info":"number node, value=2787","layer":4},{"info":"number node, value=2936","layer":4},{"info":"compute binary expreesion, left_input=2787, right_input=2936, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3122, 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=2004","layer":4},{"info":"number node, value=1411","layer":4},{"info":"compute binary expreesion, left_input=2004, right_input=1411, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=2158","layer":4},{"info":"number node, value=2924","layer":4},{"info":"compute binary expreesion, left_input=2158, right_input=2924, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3690","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3690, 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 = 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 = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1655⋳⪒⊺⇮1893)⨪↰⇹(⊺⇮2611⋓⊺⇮7285)∑⇟⊟(⊺⇮8861⊭↱⊺⇮8813)⪢(⊺⇮1141⨓⊺⇮2056)⨳⩥⨓((⊺⇮4415⪨≂⊺⇮2905)⨐⩸⫘⊺⇮2787⊴⊺⇮2936⫸⊐⊺⇮2004+⇶⊼⊺⇮1411⪄(⊺⇮2158⋷⊺⇮2924))=NaN","reverse_text":"NaN=(⊺⇮1655⋳⪒⊺⇮1893)⨪↰⇹(⊺⇮2611⋓⊺⇮7285)∑⇟⊟(⊺⇮8861⊭↱⊺⇮8813)⪢(⊺⇮1141⨓⊺⇮2056)⨳⩥⨓((⊺⇮4415⪨≂⊺⇮2905)⨐⩸⫘⊺⇮2787⊴⊺⇮2936⫸⊐⊺⇮2004+⇶⊼⊺⇮1411⪄(⊺⇮2158⋷⊺⇮2924))","cot":[{"info":"⊺⇮1655⋳⪒⊺⇮1893=⊺⇮1130","layer":3},{"info":"⊺⇮2611⋓⊺⇮7285=⊺⇮0","layer":3},{"info":"⊺⇮1130⨪↰⇹⊺⇮0=⊺⇮1130","layer":2},{"info":"⊺⇮8861⊭↱⊺⇮8813=⊺⇮-91","layer":3},{"info":"⊺⇮1141⨓⊺⇮2056=⊺⇮-2059","layer":3},{"info":"⊺⇮-91⪢⊺⇮-2059=NaN","layer":2},{"info":"⊺⇮1130∑⇟⊟NaN=NaN","layer":1},{"info":"⊺⇮4415⪨≂⊺⇮2905=⊺⇮3122","layer":3},{"info":"⊺⇮2787⊴⊺⇮2936=NaN","layer":3},{"info":"⊺⇮3122⨐⩸⫘NaN=NaN","layer":2},{"info":"⊺⇮2004+⇶⊼⊺⇮1411=NaN","layer":3},{"info":"⊺⇮2158⋷⊺⇮2924=⊺⇮3690","layer":3},{"info":"NaN⪄⊺⇮3690=⊺⇮3979","layer":2},{"info":"NaN⫸⊐⊺⇮3979=NaN","layer":1},{"info":"NaN⨳⩥⨓NaN=NaN","layer":0}]}
{"id":392,"expression_no_base_symbol":"(↩($2595$⨵⪆$7040$⫡⨏(↔$1897$)))≭(($2547$≎⊠⪸$4868$)≧⫂∧$5850$∑⇟⊟$1057$⨎((⨰⫟⨤$3328$)%($1092$⨵⪆$1379$)))","expression":"(↩(⊺⇮2595⨵⪆⊺⇮7040⫡⨏(↔⊺⇮1897)))≭((⊺⇮2547≎⊠⪸⊺⇮4868)≧⫂∧⊺⇮5850∑⇟⊟⊺⇮1057⨎((⨰⫟⨤⊺⇮3328)%(⊺⇮1092⨵⪆⊺⇮1379)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":12783,"operation_count":12,"complexity_ratio":1065.25,"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":2595,"base":10},"right_expr":{"type":"numeric_atoms","value":7040,"base":10}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1897,"base":10}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2547,"base":10},"right_expr":{"type":"numeric_atoms","value":4868,"base":10}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":5850,"base":10},"right_expr":{"type":"numeric_atoms","value":1057,"base":10}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":3328,"base":10}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1092,"base":10},"right_expr":{"type":"numeric_atoms","value":1379,"base":10}}}}},"used_operators":["rxpJgHHUmx","jLgFTUHLKL","QMFrweE19q","2DQ55sFlQl","ruOEQAzv1W","rJVOvQCfKK","Ph9nP6C5qx","bJkvcejdHO","U7g4x0WXJJ","k8jYdgA6NY","Tw270M8GLb"],"dependent_operators":["AHs5Up7iyr","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2595","layer":4},{"info":"number node, value=7040","layer":4},{"info":"compute binary expreesion, left_input=2595, right_input=7040, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1897","layer":4},{"info":"compute unary expreesion, input=1897, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1624","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-1624, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-1665","layer":2},{"info":"compute unary expreesion, input=-1665, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=9280","layer":1},{"info":"number node, value=2547","layer":4},{"info":"number node, value=4868","layer":4},{"info":"compute binary expreesion, left_input=2547, right_input=4868, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=659200","layer":3},{"info":"number node, value=5850","layer":4},{"info":"number node, value=1057","layer":4},{"info":"compute binary expreesion, left_input=5850, right_input=1057, 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=659200, 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=3328","layer":4},{"info":"compute unary expreesion, input=3328, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=1092","layer":4},{"info":"number node, value=1379","layer":4},{"info":"compute binary expreesion, left_input=1092, right_input=1379, 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 = k8jYdgA6NY binary_op_definition= 'None', 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=9280, 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":10,"result_base":10,"text":"(↩(⊺⇮2595⨵⪆⊺⇮7040⫡⨏(↔⊺⇮1897)))≭((⊺⇮2547≎⊠⪸⊺⇮4868)≧⫂∧⊺⇮5850∑⇟⊟⊺⇮1057⨎((⨰⫟⨤⊺⇮3328)%(⊺⇮1092⨵⪆⊺⇮1379)))=NaN","reverse_text":"NaN=(↩(⊺⇮2595⨵⪆⊺⇮7040⫡⨏(↔⊺⇮1897)))≭((⊺⇮2547≎⊠⪸⊺⇮4868)≧⫂∧⊺⇮5850∑⇟⊟⊺⇮1057⨎((⨰⫟⨤⊺⇮3328)%(⊺⇮1092⨵⪆⊺⇮1379)))","cot":[{"info":"⊺⇮2595⨵⪆⊺⇮7040=⊺⇮160","layer":3},{"info":"↔⊺⇮1897=⊺⇮-1624","layer":3},{"info":"⊺⇮160⫡⨏⊺⇮-1624=⊺⇮-1665","layer":2},{"info":"↩⊺⇮-1665=⊺⇮9280","layer":1},{"info":"⊺⇮2547≎⊠⪸⊺⇮4868=⊺⇮659200","layer":3},{"info":"⊺⇮5850∑⇟⊟⊺⇮1057=NaN","layer":3},{"info":"⊺⇮659200≧⫂∧NaN=NaN","layer":2},{"info":"⨰⫟⨤⊺⇮3328=NaN","layer":3},{"info":"⊺⇮1092⨵⪆⊺⇮1379=⊺⇮160","layer":3},{"info":"NaN%⊺⇮160=NaN","layer":2},{"info":"NaN⨎NaN=NaN","layer":1},{"info":"⊺⇮9280≭NaN=NaN","layer":0}]}
{"id":393,"expression_no_base_symbol":"↔(⪲⇎(≦∁$7975$≭$1642$))","expression":"↔(⪲⇎(≦∁⊺⇮7975≭⊺⇮1642))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":26,"operation_count":4,"complexity_ratio":6.5,"tree":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":7975,"base":10},"right_expr":{"type":"numeric_atoms","value":1642,"base":10}}}}},"used_operators":["ruOEQAzv1W","XPYlsWDdGa","9ICcGScMcE","rxpJgHHUmx"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","AHs5Up7iyr"],"result":"⊺⇮-134","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=7975","layer":4},{"info":"number node, value=1642","layer":4},{"info":"compute binary expreesion, left_input=7975, right_input=1642, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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 = 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 = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (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":10,"result_base":10,"text":"↔(⪲⇎(≦∁⊺⇮7975≭⊺⇮1642))=⊺⇮-134","reverse_text":"⊺⇮-134=↔(⪲⇎(≦∁⊺⇮7975≭⊺⇮1642))","cot":[{"info":"⊺⇮7975≭⊺⇮1642=NaN","layer":3},{"info":"≦∁NaN=NaN","layer":2},{"info":"⪲⇎NaN=NaN","layer":1},{"info":"↔NaN=⊺⇮-134","layer":0}]}
{"id":394,"expression_no_base_symbol":"((⩦⩻⨪($2084$↙$3899$))↛⩡⫤)⫥∨⫟(($1684$⊪)⨸⪁$2056$⫸⊐$2982$)⨓(($6818$⊦⊿)⨽($2427$-$5071$))","expression":"((⩦⩻⨪(⊺⇮2084↙⊺⇮3899))↛⩡⫤)⫥∨⫟((⊺⇮1684⊪)⨸⪁⊺⇮2056⫸⊐⊺⇮2982)⨓((⊺⇮6818⊦⊿)⨽(⊺⇮2427-⊺⇮5071))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":59881,"operation_count":11,"complexity_ratio":5443.727272727273,"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":2084,"base":10},"right_expr":{"type":"numeric_atoms","value":3899,"base":10}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":1684,"base":10}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2056,"base":10},"right_expr":{"type":"numeric_atoms","value":2982,"base":10}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":6818,"base":10}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2427,"base":10},"right_expr":{"type":"numeric_atoms","value":5071,"base":10}}}}},"used_operators":["KYD54nUTWz","FU0Cs4j7VP","2td37pGCOC","yyfyN0ffXY","3ViojmjbAp","g55IO6H4Gj","zVYPLywUTj","mqXw5SEYmG","8HhzD0ZcuI","14qkJME0vr","rysDP5nf3Z"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2084","layer":4},{"info":"number node, value=3899","layer":4},{"info":"compute binary expreesion, left_input=2084, right_input=3899, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-11697","layer":3},{"info":"compute unary expreesion, input=-11697, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-11697","layer":2},{"info":"compute unary expreesion, input=-11697, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-1668760","layer":1},{"info":"number node, value=1684","layer":4},{"info":"compute unary expreesion, input=1684, 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=2056","layer":4},{"info":"number node, value=2982","layer":4},{"info":"compute binary expreesion, left_input=2056, right_input=2982, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=11803","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=11803, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=23606","layer":2},{"info":"number node, value=6818","layer":4},{"info":"compute unary expreesion, input=6818, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-20533","layer":3},{"info":"number node, value=2427","layer":4},{"info":"number node, value=5071","layer":4},{"info":"compute binary expreesion, left_input=2427, right_input=5071, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-2644","layer":3},{"info":"compute binary expreesion, left_input=-20533, right_input=-2644, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-1264803021","layer":2},{"info":"compute binary expreesion, left_input=23606, right_input=-1264803021, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-1668760, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⩦⩻⨪(⊺⇮2084↙⊺⇮3899))↛⩡⫤)⫥∨⫟((⊺⇮1684⊪)⨸⪁⊺⇮2056⫸⊐⊺⇮2982)⨓((⊺⇮6818⊦⊿)⨽(⊺⇮2427-⊺⇮5071))=NaN","reverse_text":"NaN=((⩦⩻⨪(⊺⇮2084↙⊺⇮3899))↛⩡⫤)⫥∨⫟((⊺⇮1684⊪)⨸⪁⊺⇮2056⫸⊐⊺⇮2982)⨓((⊺⇮6818⊦⊿)⨽(⊺⇮2427-⊺⇮5071))","cot":[{"info":"⊺⇮2084↙⊺⇮3899=⊺⇮-11697","layer":3},{"info":"⩦⩻⨪⊺⇮-11697=⊺⇮-11697","layer":2},{"info":"⊺⇮-11697↛⩡⫤=⊺⇮-1668760","layer":1},{"info":"⊺⇮1684⊪=⊺⇮0","layer":3},{"info":"⊺⇮2056⫸⊐⊺⇮2982=⊺⇮11803","layer":3},{"info":"⊺⇮0⨸⪁⊺⇮11803=⊺⇮23606","layer":2},{"info":"⊺⇮6818⊦⊿=⊺⇮-20533","layer":3},{"info":"⊺⇮2427-⊺⇮5071=⊺⇮-2644","layer":3},{"info":"⊺⇮-20533⨽⊺⇮-2644=⊺⇮-1264803021","layer":2},{"info":"⊺⇮23606⨓⊺⇮-1264803021=NaN","layer":1},{"info":"⊺⇮-1668760⫥∨⫟NaN=NaN","layer":0}]}
{"id":395,"expression_no_base_symbol":"(((⊙↵-$1948$)⩨(⨞⊢$2117$))⇋≉)⋳⪒(($5681$⨪↰⇹$1255$)⇷($2066$↙$1379$)∲⫓(↩$1069$)≧⫂∧$1140$∑⇟⊟$2281$)","expression":"(((⊙↵-⊺⇮1948)⩨(⨞⊢⊺⇮2117))⇋≉)⋳⪒((⊺⇮5681⨪↰⇹⊺⇮1255)⇷(⊺⇮2066↙⊺⇮1379)∲⫓(↩⊺⇮1069)≧⫂∧⊺⇮1140∑⇟⊟⊺⇮2281)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":90925,"operation_count":12,"complexity_ratio":7577.083333333333,"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":1948,"base":10}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2117,"base":10}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":5681,"base":10},"right_expr":{"type":"numeric_atoms","value":1255,"base":10}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2066,"base":10},"right_expr":{"type":"numeric_atoms","value":1379,"base":10}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1069,"base":10}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1140,"base":10},"right_expr":{"type":"numeric_atoms","value":2281,"base":10}}}}},"used_operators":["12rbrZMWeM","XIabStNQrY","2DlMacCsIx","oWn0xqSxBt","xUOZtlo3hN","i8ToyICDmI","mp7IySMOzn","tmPS8pqC7x","yyfyN0ffXY","Ph9nP6C5qx","jLgFTUHLKL","U7g4x0WXJJ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rJVOvQCfKK","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1948","layer":4},{"info":"compute unary expreesion, input=1948, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=2117","layer":4},{"info":"compute unary expreesion, input=2117, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2291","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=-2291, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6873","layer":2},{"info":"compute unary expreesion, input=-6873, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-13844","layer":1},{"info":"number node, value=5681","layer":4},{"info":"number node, value=1255","layer":4},{"info":"compute binary expreesion, left_input=5681, right_input=1255, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=5681","layer":3},{"info":"number node, value=2066","layer":4},{"info":"number node, value=1379","layer":4},{"info":"compute binary expreesion, left_input=2066, right_input=1379, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4137","layer":3},{"info":"compute binary expreesion, left_input=5681, right_input=-4137, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"number node, value=1069","layer":4},{"info":"compute unary expreesion, input=1069, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-5772","layer":3},{"info":"number node, value=1140","layer":4},{"info":"number node, value=2281","layer":4},{"info":"compute binary expreesion, left_input=1140, right_input=2281, 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=-5772, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-13844, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((⊙↵-⊺⇮1948)⩨(⨞⊢⊺⇮2117))⇋≉)⋳⪒((⊺⇮5681⨪↰⇹⊺⇮1255)⇷(⊺⇮2066↙⊺⇮1379)∲⫓(↩⊺⇮1069)≧⫂∧⊺⇮1140∑⇟⊟⊺⇮2281)=NaN","reverse_text":"NaN=(((⊙↵-⊺⇮1948)⩨(⨞⊢⊺⇮2117))⇋≉)⋳⪒((⊺⇮5681⨪↰⇹⊺⇮1255)⇷(⊺⇮2066↙⊺⇮1379)∲⫓(↩⊺⇮1069)≧⫂∧⊺⇮1140∑⇟⊟⊺⇮2281)","cot":[{"info":"⊙↵-⊺⇮1948=⊺⇮-1","layer":3},{"info":"⨞⊢⊺⇮2117=⊺⇮-2291","layer":3},{"info":"⊺⇮-1⩨⊺⇮-2291=⊺⇮-6873","layer":2},{"info":"⊺⇮-6873⇋≉=⊺⇮-13844","layer":1},{"info":"⊺⇮5681⨪↰⇹⊺⇮1255=⊺⇮5681","layer":3},{"info":"⊺⇮2066↙⊺⇮1379=⊺⇮-4137","layer":3},{"info":"⊺⇮5681⇷⊺⇮-4137=NaN","layer":2},{"info":"↩⊺⇮1069=⊺⇮-5772","layer":3},{"info":"⊺⇮1140∑⇟⊟⊺⇮2281=NaN","layer":3},{"info":"⊺⇮-5772≧⫂∧NaN=NaN","layer":2},{"info":"NaN∲⫓NaN=NaN","layer":1},{"info":"⊺⇮-13844⋳⪒NaN=NaN","layer":0}]}
{"id":396,"expression_no_base_symbol":"(($6106$↙$1468$)⨓($3610$*$1986$)⪐)∀⇚≩(⋗⩬⋾($1822$⋓$4742$⇼⇔∾$4117$⨰$6076$))","expression":"((⊺⇮6106↙⊺⇮1468)⨓(⊺⇮3610*⊺⇮1986)⪐)∀⇚≩(⋗⩬⋾(⊺⇮1822⋓⊺⇮4742⇼⇔∾⊺⇮4117⨰⊺⇮6076))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3491,"operation_count":9,"complexity_ratio":387.8888888888889,"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":6106,"base":10},"right_expr":{"type":"numeric_atoms","value":1468,"base":10}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3610,"base":10},"right_expr":{"type":"numeric_atoms","value":1986,"base":10}}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1822,"base":10},"right_expr":{"type":"numeric_atoms","value":4742,"base":10}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4117,"base":10},"right_expr":{"type":"numeric_atoms","value":6076,"base":10}}}}},"used_operators":["LRNGc0VcxI","eH2TOUuTDT","3ViojmjbAp","yyfyN0ffXY","9HNa5Wba9A","DpFCA1CohY","tifHPKVTfV","T2fj7uvVaJ","eewbuw0ToL"],"dependent_operators":["X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6106","layer":4},{"info":"number node, value=1468","layer":4},{"info":"compute binary expreesion, left_input=6106, right_input=1468, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4404","layer":3},{"info":"number node, value=3610","layer":4},{"info":"number node, value=1986","layer":4},{"info":"compute binary expreesion, left_input=3610, right_input=1986, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=7169460","layer":3},{"info":"compute binary expreesion, left_input=-4404, right_input=7169460, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":1},{"info":"number node, value=1822","layer":4},{"info":"number node, value=4742","layer":4},{"info":"compute binary expreesion, left_input=1822, right_input=4742, op_id = T2fj7uvVaJ binary_op_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=4117","layer":4},{"info":"number node, value=6076","layer":4},{"info":"compute binary expreesion, left_input=4117, right_input=6076, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1949","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1949, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1949","layer":2},{"info":"compute unary expreesion, input=-1949, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=5847","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=5847, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":10,"result_base":10,"text":"((⊺⇮6106↙⊺⇮1468)⨓(⊺⇮3610*⊺⇮1986)⪐)∀⇚≩(⋗⩬⋾(⊺⇮1822⋓⊺⇮4742⇼⇔∾⊺⇮4117⨰⊺⇮6076))=NaN","reverse_text":"NaN=((⊺⇮6106↙⊺⇮1468)⨓(⊺⇮3610*⊺⇮1986)⪐)∀⇚≩(⋗⩬⋾(⊺⇮1822⋓⊺⇮4742⇼⇔∾⊺⇮4117⨰⊺⇮6076))","cot":[{"info":"⊺⇮6106↙⊺⇮1468=⊺⇮-4404","layer":3},{"info":"⊺⇮3610*⊺⇮1986=⊺⇮7169460","layer":3},{"info":"⊺⇮-4404⨓⊺⇮7169460=NaN","layer":2},{"info":"NaN⪐=NaN","layer":1},{"info":"⊺⇮1822⋓⊺⇮4742=⊺⇮0","layer":3},{"info":"⊺⇮4117⨰⊺⇮6076=⊺⇮-1949","layer":3},{"info":"⊺⇮0⇼⇔∾⊺⇮-1949=⊺⇮-1949","layer":2},{"info":"⋗⩬⋾⊺⇮-1949=⊺⇮5847","layer":1},{"info":"NaN∀⇚≩⊺⇮5847=NaN","layer":0}]}
{"id":397,"expression_no_base_symbol":"((⨵≀≌$1272$)∀⇚≩($2491$⫸⊐$1120$))∼(($2944$∧)↺($1067$≫≃))*(∂(($4992$⩚⊴⇥$4650$)⇋≉))","expression":"((⨵≀≌⊺⇮1272)∀⇚≩(⊺⇮2491⫸⊐⊺⇮1120))∼((⊺⇮2944∧)↺(⊺⇮1067≫≃))*(∂((⊺⇮4992⩚⊴⇥⊺⇮4650)⇋≉))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":27181,"operation_count":11,"complexity_ratio":2471.0,"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":1272,"base":10}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2491,"base":10},"right_expr":{"type":"numeric_atoms","value":1120,"base":10}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":2944,"base":10}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1067,"base":10}}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4992,"base":10},"right_expr":{"type":"numeric_atoms","value":4650,"base":10}}}}},"used_operators":["9HNa5Wba9A","DyGG3AbaNP","LRNGc0VcxI","srAu1WTS94","mqXw5SEYmG","7j4O788W3g","z63VuFQld9","X99M06cbEe","Uaa54Peajs","XIabStNQrY","NTOWxs364D"],"dependent_operators":["W4YGzv6Whe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","X99M06cbEe","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1272","layer":4},{"info":"compute unary expreesion, input=1272, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3816","layer":3},{"info":"number node, value=2491","layer":4},{"info":"number node, value=1120","layer":4},{"info":"compute binary expreesion, left_input=2491, right_input=1120, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4355","layer":3},{"info":"compute binary expreesion, left_input=-3816, right_input=4355, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=2944","layer":4},{"info":"compute unary expreesion, input=2944, 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=1067","layer":4},{"info":"compute unary expreesion, input=1067, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=3535","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3535, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3535","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3535, 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=4992","layer":4},{"info":"number node, value=4650","layer":4},{"info":"compute binary expreesion, left_input=4992, right_input=4650, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-9763","layer":3},{"info":"compute unary expreesion, input=-9763, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-19624","layer":2},{"info":"compute unary expreesion, input=-19624, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=19360","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=19360, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⨵≀≌⊺⇮1272)∀⇚≩(⊺⇮2491⫸⊐⊺⇮1120))∼((⊺⇮2944∧)↺(⊺⇮1067≫≃))*(∂((⊺⇮4992⩚⊴⇥⊺⇮4650)⇋≉))=NaN","reverse_text":"NaN=((⨵≀≌⊺⇮1272)∀⇚≩(⊺⇮2491⫸⊐⊺⇮1120))∼((⊺⇮2944∧)↺(⊺⇮1067≫≃))*(∂((⊺⇮4992⩚⊴⇥⊺⇮4650)⇋≉))","cot":[{"info":"⨵≀≌⊺⇮1272=⊺⇮-3816","layer":3},{"info":"⊺⇮2491⫸⊐⊺⇮1120=⊺⇮4355","layer":3},{"info":"⊺⇮-3816∀⇚≩⊺⇮4355=NaN","layer":2},{"info":"⊺⇮2944∧=NaN","layer":3},{"info":"⊺⇮1067≫≃=⊺⇮3535","layer":3},{"info":"NaN↺⊺⇮3535=⊺⇮3535","layer":2},{"info":"NaN∼⊺⇮3535=NaN","layer":1},{"info":"⊺⇮4992⩚⊴⇥⊺⇮4650=⊺⇮-9763","layer":3},{"info":"⊺⇮-9763⇋≉=⊺⇮-19624","layer":2},{"info":"∂⊺⇮-19624=⊺⇮19360","layer":1},{"info":"NaN*⊺⇮19360=NaN","layer":0}]}
{"id":398,"expression_no_base_symbol":"(($1100$⫥∨⫟$1542$∲⫓($5290$≣⋋))∲⫓(↣≠⋷($3552$↺$8362$)))⊴((($2127$⩚⊴⇥$3137$)⪛($1524$⨳⩥⨓$8250$))⪮%⊝(≤/$1020$⩷∴$6248$))","expression":"((⊺⇮1100⫥∨⫟⊺⇮1542∲⫓(⊺⇮5290≣⋋))∲⫓(↣≠⋷(⊺⇮3552↺⊺⇮8362)))⊴(((⊺⇮2127⩚⊴⇥⊺⇮3137)⪛(⊺⇮1524⨳⩥⨓⊺⇮8250))⪮%⊝(≤/⊺⇮1020⩷∴⊺⇮6248))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3706,"operation_count":13,"complexity_ratio":285.0769230769231,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1100,"base":10},"right_expr":{"type":"numeric_atoms","value":1542,"base":10}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":5290,"base":10}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3552,"base":10},"right_expr":{"type":"numeric_atoms","value":8362,"base":10}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2127,"base":10},"right_expr":{"type":"numeric_atoms","value":3137,"base":10}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1524,"base":10},"right_expr":{"type":"numeric_atoms","value":8250,"base":10}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1020,"base":10},"right_expr":{"type":"numeric_atoms","value":6248,"base":10}}}}},"used_operators":["Nsiff2A1zJ","i8ToyICDmI","KYD54nUTWz","Tcnh7f0tEr","Asc51vEJeQ","7j4O788W3g","IWmyXbctLI","uFcxV4UQCh","NTOWxs364D","nCS4ZIUYfx","eLAdDNolq6","9FxExcQeMw"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1100","layer":4},{"info":"number node, value=1542","layer":4},{"info":"compute binary expreesion, left_input=1100, right_input=1542, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=5290","layer":4},{"info":"compute unary expreesion, input=5290, 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 = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"number node, value=3552","layer":4},{"info":"number node, value=8362","layer":4},{"info":"compute binary expreesion, left_input=3552, right_input=8362, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=8362","layer":3},{"info":"compute unary expreesion, input=8362, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":1},{"info":"number node, value=2127","layer":4},{"info":"number node, value=3137","layer":4},{"info":"compute binary expreesion, left_input=2127, right_input=3137, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5385","layer":3},{"info":"number node, value=1524","layer":4},{"info":"number node, value=8250","layer":4},{"info":"compute binary expreesion, left_input=1524, right_input=8250, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=6726","layer":3},{"info":"compute binary expreesion, left_input=-5385, right_input=6726, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1341","layer":2},{"info":"number node, value=1020","layer":4},{"info":"number node, value=6248","layer":4},{"info":"compute binary expreesion, left_input=1020, right_input=6248, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-10488","layer":3},{"info":"compute unary expreesion, input=-10488, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=10972","layer":2},{"info":"compute binary expreesion, left_input=1341, right_input=10972, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2998","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2998, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1100⫥∨⫟⊺⇮1542∲⫓(⊺⇮5290≣⋋))∲⫓(↣≠⋷(⊺⇮3552↺⊺⇮8362)))⊴(((⊺⇮2127⩚⊴⇥⊺⇮3137)⪛(⊺⇮1524⨳⩥⨓⊺⇮8250))⪮%⊝(≤/⊺⇮1020⩷∴⊺⇮6248))=NaN","reverse_text":"NaN=((⊺⇮1100⫥∨⫟⊺⇮1542∲⫓(⊺⇮5290≣⋋))∲⫓(↣≠⋷(⊺⇮3552↺⊺⇮8362)))⊴(((⊺⇮2127⩚⊴⇥⊺⇮3137)⪛(⊺⇮1524⨳⩥⨓⊺⇮8250))⪮%⊝(≤/⊺⇮1020⩷∴⊺⇮6248))","cot":[{"info":"⊺⇮1100⫥∨⫟⊺⇮1542=NaN","layer":3},{"info":"⊺⇮5290≣⋋=⊺⇮0","layer":3},{"info":"NaN∲⫓⊺⇮0=NaN","layer":2},{"info":"⊺⇮3552↺⊺⇮8362=⊺⇮8362","layer":3},{"info":"↣≠⋷⊺⇮8362=NaN","layer":2},{"info":"NaN∲⫓NaN=NaN","layer":1},{"info":"⊺⇮2127⩚⊴⇥⊺⇮3137=⊺⇮-5385","layer":3},{"info":"⊺⇮1524⨳⩥⨓⊺⇮8250=⊺⇮6726","layer":3},{"info":"⊺⇮-5385⪛⊺⇮6726=⊺⇮1341","layer":2},{"info":"⊺⇮1020⩷∴⊺⇮6248=⊺⇮-10488","layer":3},{"info":"≤/⊺⇮-10488=⊺⇮10972","layer":2},{"info":"⊺⇮1341⪮%⊝⊺⇮10972=⊺⇮2998","layer":1},{"info":"NaN⊴⊺⇮2998=NaN","layer":0}]}
{"id":399,"expression_no_base_symbol":"((↯⪼$6827$⨟⋌⩍$2922$)⩤)⨓(($5435$⫡⨏$2827$+$5741$∀⇚≩$3131$)⨳⩥⨓($3669$⋝⋈⪟$2289$)⇷($4843$≭$5795$))","expression":"((↯⪼⊺⇮6827⨟⋌⩍⊺⇮2922)⩤)⨓((⊺⇮5435⫡⨏⊺⇮2827+⊺⇮5741∀⇚≩⊺⇮3131)⨳⩥⨓(⊺⇮3669⋝⋈⪟⊺⇮2289)⇷(⊺⇮4843≭⊺⇮5795))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":91614,"operation_count":11,"complexity_ratio":8328.545454545454,"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":6827,"base":10},"right_expr":{"type":"numeric_atoms","value":2922,"base":10}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":5435,"base":10},"right_expr":{"type":"numeric_atoms","value":2827,"base":10}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":5741,"base":10},"right_expr":{"type":"numeric_atoms","value":3131,"base":10}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3669,"base":10},"right_expr":{"type":"numeric_atoms","value":2289,"base":10}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4843,"base":10},"right_expr":{"type":"numeric_atoms","value":5795,"base":10}}}}},"used_operators":["3ViojmjbAp","Z2TMIBDE3Q","8jW3W4yZS5","rGHVDoGpnC","nCS4ZIUYfx","W4YGzv6Whe","QMFrweE19q","LRNGc0VcxI","mp7IySMOzn","2DDjHMKMc0","rxpJgHHUmx"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","Tcnh7f0tEr","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6827","layer":4},{"info":"number node, value=2922","layer":4},{"info":"compute binary expreesion, left_input=6827, right_input=2922, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = 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 = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=21","layer":1},{"info":"number node, value=5435","layer":4},{"info":"number node, value=2827","layer":4},{"info":"compute binary expreesion, left_input=5435, right_input=2827, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=33612","layer":3},{"info":"number node, value=5741","layer":4},{"info":"number node, value=3131","layer":4},{"info":"compute binary expreesion, left_input=5741, right_input=3131, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=33612, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=3669","layer":4},{"info":"number node, value=2289","layer":4},{"info":"compute binary expreesion, left_input=3669, right_input=2289, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3669","layer":3},{"info":"number node, value=4843","layer":4},{"info":"number node, value=5795","layer":4},{"info":"compute binary expreesion, left_input=4843, right_input=5795, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3669, 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 = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=21, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((↯⪼⊺⇮6827⨟⋌⩍⊺⇮2922)⩤)⨓((⊺⇮5435⫡⨏⊺⇮2827+⊺⇮5741∀⇚≩⊺⇮3131)⨳⩥⨓(⊺⇮3669⋝⋈⪟⊺⇮2289)⇷(⊺⇮4843≭⊺⇮5795))=NaN","reverse_text":"NaN=((↯⪼⊺⇮6827⨟⋌⩍⊺⇮2922)⩤)⨓((⊺⇮5435⫡⨏⊺⇮2827+⊺⇮5741∀⇚≩⊺⇮3131)⨳⩥⨓(⊺⇮3669⋝⋈⪟⊺⇮2289)⇷(⊺⇮4843≭⊺⇮5795))","cot":[{"info":"⊺⇮6827⨟⋌⩍⊺⇮2922=NaN","layer":3},{"info":"↯⪼NaN=⊺⇮-21","layer":2},{"info":"⊺⇮-21⩤=⊺⇮21","layer":1},{"info":"⊺⇮5435⫡⨏⊺⇮2827=⊺⇮33612","layer":3},{"info":"⊺⇮5741∀⇚≩⊺⇮3131=NaN","layer":3},{"info":"⊺⇮33612+NaN=NaN","layer":2},{"info":"⊺⇮3669⋝⋈⪟⊺⇮2289=⊺⇮3669","layer":3},{"info":"⊺⇮4843≭⊺⇮5795=NaN","layer":3},{"info":"⊺⇮3669⇷NaN=NaN","layer":2},{"info":"NaN⨳⩥⨓NaN=NaN","layer":1},{"info":"⊺⇮21⨓NaN=NaN","layer":0}]}
{"id":400,"expression_no_base_symbol":"($6128$⋷$1375$)∼($1325$⩚⊴⇥$2382$)⇷(($1111$-$3471$)≋⫹)⫸⊐($2066$≹⇙⪍$2598$⪮%⊝($3833$⇷$4281$)⪒$3067$⨽$2858$⇼⇔∾(+⊝⨔$4570$))","expression":"(⊺⇮6128⋷⊺⇮1375)∼(⊺⇮1325⩚⊴⇥⊺⇮2382)⇷((⊺⇮1111-⊺⇮3471)≋⫹)⫸⊐(⊺⇮2066≹⇙⪍⊺⇮2598⪮%⊝(⊺⇮3833⇷⊺⇮4281)⪒⊺⇮3067⨽⊺⇮2858⇼⇔∾(+⊝⨔⊺⇮4570))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":56906,"operation_count":14,"complexity_ratio":4064.714285714286,"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":6128,"base":10},"right_expr":{"type":"numeric_atoms","value":1375,"base":10}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1325,"base":10},"right_expr":{"type":"numeric_atoms","value":2382,"base":10}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1111,"base":10},"right_expr":{"type":"numeric_atoms","value":3471,"base":10}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2066,"base":10},"right_expr":{"type":"numeric_atoms","value":2598,"base":10}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3833,"base":10},"right_expr":{"type":"numeric_atoms","value":4281,"base":10}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3067,"base":10},"right_expr":{"type":"numeric_atoms","value":2858,"base":10}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":4570,"base":10}}}}},"used_operators":["mqXw5SEYmG","mp7IySMOzn","DyGG3AbaNP","23Mk6UjR3U","NTOWxs364D","N41Kp7NANJ","rysDP5nf3Z","f6k1SAg4EE","IWmyXbctLI","AHs5Up7iyr","tifHPKVTfV","8HhzD0ZcuI","DhbWaqg5eL"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6128","layer":4},{"info":"number node, value=1375","layer":4},{"info":"compute binary expreesion, left_input=6128, right_input=1375, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-3378","layer":3},{"info":"number node, value=1325","layer":4},{"info":"number node, value=2382","layer":4},{"info":"compute binary expreesion, left_input=1325, right_input=2382, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3828","layer":3},{"info":"compute binary expreesion, left_input=-3378, right_input=-3828, 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=1111","layer":4},{"info":"number node, value=3471","layer":4},{"info":"compute binary expreesion, left_input=1111, right_input=3471, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-2360","layer":3},{"info":"compute unary expreesion, input=-2360, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=4720","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4720, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=9440","layer":1},{"info":"number node, value=2066","layer":4},{"info":"number node, value=2598","layer":4},{"info":"compute binary expreesion, left_input=2066, right_input=2598, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=3833","layer":4},{"info":"number node, value=4281","layer":4},{"info":"compute binary expreesion, left_input=3833, right_input=4281, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=8562","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8562, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"number node, value=3067","layer":4},{"info":"number node, value=2858","layer":4},{"info":"compute binary expreesion, left_input=3067, right_input=2858, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-28226727","layer":3},{"info":"number node, value=4570","layer":4},{"info":"compute unary expreesion, input=4570, 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=-28226727, right_input=1522, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=28228249","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=28228249, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=9440, 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":10,"result_base":10,"text":"(⊺⇮6128⋷⊺⇮1375)∼(⊺⇮1325⩚⊴⇥⊺⇮2382)⇷((⊺⇮1111-⊺⇮3471)≋⫹)⫸⊐(⊺⇮2066≹⇙⪍⊺⇮2598⪮%⊝(⊺⇮3833⇷⊺⇮4281)⪒⊺⇮3067⨽⊺⇮2858⇼⇔∾(+⊝⨔⊺⇮4570))=NaN","reverse_text":"NaN=(⊺⇮6128⋷⊺⇮1375)∼(⊺⇮1325⩚⊴⇥⊺⇮2382)⇷((⊺⇮1111-⊺⇮3471)≋⫹)⫸⊐(⊺⇮2066≹⇙⪍⊺⇮2598⪮%⊝(⊺⇮3833⇷⊺⇮4281)⪒⊺⇮3067⨽⊺⇮2858⇼⇔∾(+⊝⨔⊺⇮4570))","cot":[{"info":"⊺⇮6128⋷⊺⇮1375=⊺⇮-3378","layer":3},{"info":"⊺⇮1325⩚⊴⇥⊺⇮2382=⊺⇮-3828","layer":3},{"info":"⊺⇮-3378∼⊺⇮-3828=NaN","layer":2},{"info":"⊺⇮1111-⊺⇮3471=⊺⇮-2360","layer":3},{"info":"⊺⇮-2360≋⫹=⊺⇮4720","layer":2},{"info":"NaN⇷⊺⇮4720=⊺⇮9440","layer":1},{"info":"⊺⇮2066≹⇙⪍⊺⇮2598=NaN","layer":3},{"info":"⊺⇮3833⇷⊺⇮4281=⊺⇮8562","layer":3},{"info":"NaN⪮%⊝⊺⇮8562=NaN","layer":2},{"info":"⊺⇮3067⨽⊺⇮2858=⊺⇮-28226727","layer":3},{"info":"+⊝⨔⊺⇮4570=⊺⇮1522","layer":3},{"info":"⊺⇮-28226727⇼⇔∾⊺⇮1522=⊺⇮28228249","layer":2},{"info":"NaN⪒⊺⇮28228249=NaN","layer":1},{"info":"⊺⇮9440⫸⊐NaN=NaN","layer":0}]}
{"id":401,"expression_no_base_symbol":"⇁⨣⪵($4198$⨸⪁$4631$⊭↱$7610$⨽$1005$)⨐⩸⫘((⪲⇎$3001$)⊭↱$1291$⊴$3548$)","expression":"⇁⨣⪵(⊺⇮4198⨸⪁⊺⇮4631⊭↱⊺⇮7610⨽⊺⇮1005)⨐⩸⫘((⪲⇎⊺⇮3001)⊭↱⊺⇮1291⊴⊺⇮3548)","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":11192,"operation_count":8,"complexity_ratio":1399.0,"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":4198,"base":10},"right_expr":{"type":"numeric_atoms","value":4631,"base":10}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":7610,"base":10},"right_expr":{"type":"numeric_atoms","value":1005,"base":10}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":3001,"base":10}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1291,"base":10},"right_expr":{"type":"numeric_atoms","value":3548,"base":10}}}}},"used_operators":["inkyxCbjAn","fu6greOZ01","COABgblf1C","g55IO6H4Gj","8HhzD0ZcuI","XPYlsWDdGa","Nsiff2A1zJ"],"dependent_operators":["B5M0gjZbta","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4198","layer":4},{"info":"number node, value=4631","layer":4},{"info":"compute binary expreesion, left_input=4198, right_input=4631, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=17658","layer":3},{"info":"number node, value=7610","layer":4},{"info":"number node, value=1005","layer":4},{"info":"compute binary expreesion, left_input=7610, right_input=1005, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-173738001","layer":3},{"info":"compute binary expreesion, left_input=17658, right_input=-173738001, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-347511313","layer":2},{"info":"number node, value=3001","layer":4},{"info":"compute unary expreesion, input=3001, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=6002","layer":3},{"info":"number node, value=1291","layer":4},{"info":"number node, value=3548","layer":4},{"info":"compute binary expreesion, left_input=1291, right_input=3548, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=6002, 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=-347511313, 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 = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⇁⨣⪵(⊺⇮4198⨸⪁⊺⇮4631⊭↱⊺⇮7610⨽⊺⇮1005)⨐⩸⫘((⪲⇎⊺⇮3001)⊭↱⊺⇮1291⊴⊺⇮3548)=NaN","reverse_text":"NaN=⇁⨣⪵(⊺⇮4198⨸⪁⊺⇮4631⊭↱⊺⇮7610⨽⊺⇮1005)⨐⩸⫘((⪲⇎⊺⇮3001)⊭↱⊺⇮1291⊴⊺⇮3548)","cot":[{"info":"⊺⇮4198⨸⪁⊺⇮4631=⊺⇮17658","layer":3},{"info":"⊺⇮7610⨽⊺⇮1005=⊺⇮-173738001","layer":3},{"info":"⊺⇮17658⊭↱⊺⇮-173738001=⊺⇮-347511313","layer":2},{"info":"⪲⇎⊺⇮3001=⊺⇮6002","layer":3},{"info":"⊺⇮1291⊴⊺⇮3548=NaN","layer":3},{"info":"⊺⇮6002⊭↱NaN=NaN","layer":2},{"info":"⊺⇮-347511313⨐⩸⫘NaN=NaN","layer":1},{"info":"⇁⨣⪵NaN=NaN","layer":0}]}
{"id":402,"expression_no_base_symbol":"(($3816$≧⫂∧$2644$)∑⇟⊟($4177$⪨≂$1643$))⪛($1826$⪄$4195$⋷$5431$⪢$1366$)%(↣≠⋷(↯⪼($2288$⋓$1009$)))","expression":"((⊺⇮3816≧⫂∧⊺⇮2644)∑⇟⊟(⊺⇮4177⪨≂⊺⇮1643))⪛(⊺⇮1826⪄⊺⇮4195⋷⊺⇮5431⪢⊺⇮1366)%(↣≠⋷(↯⪼(⊺⇮2288⋓⊺⇮1009)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8640,"operation_count":11,"complexity_ratio":785.4545454545455,"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":3816,"base":10},"right_expr":{"type":"numeric_atoms","value":2644,"base":10}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4177,"base":10},"right_expr":{"type":"numeric_atoms","value":1643,"base":10}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1826,"base":10},"right_expr":{"type":"numeric_atoms","value":4195,"base":10}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":5431,"base":10},"right_expr":{"type":"numeric_atoms","value":1366,"base":10}}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2288,"base":10},"right_expr":{"type":"numeric_atoms","value":1009,"base":10}}}}},"used_operators":["k8jYdgA6NY","uFcxV4UQCh","U7g4x0WXJJ","Ph9nP6C5qx","sdazOOVcIp","23Mk6UjR3U","SUmda5xLS4","dWAJyo7jo9","Asc51vEJeQ","8jW3W4yZS5","T2fj7uvVaJ"],"dependent_operators":["rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","k8jYdgA6NY","XhwjNDsVaA","AHs5Up7iyr","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3816","layer":4},{"info":"number node, value=2644","layer":4},{"info":"compute binary expreesion, left_input=3816, right_input=2644, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2171","layer":3},{"info":"number node, value=4177","layer":4},{"info":"number node, value=1643","layer":4},{"info":"compute binary expreesion, left_input=4177, right_input=1643, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=5170","layer":3},{"info":"compute binary expreesion, left_input=2171, right_input=5170, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=1826","layer":4},{"info":"number node, value=4195","layer":4},{"info":"compute binary expreesion, left_input=1826, right_input=4195, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-283117","layer":3},{"info":"number node, value=5431","layer":4},{"info":"number node, value=1366","layer":4},{"info":"compute binary expreesion, left_input=5431, right_input=1366, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=-283117, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=566234","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=566234, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"number node, value=2288","layer":4},{"info":"number node, value=1009","layer":4},{"info":"compute binary expreesion, left_input=2288, right_input=1009, op_id = T2fj7uvVaJ binary_op_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 = 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 = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮3816≧⫂∧⊺⇮2644)∑⇟⊟(⊺⇮4177⪨≂⊺⇮1643))⪛(⊺⇮1826⪄⊺⇮4195⋷⊺⇮5431⪢⊺⇮1366)%(↣≠⋷(↯⪼(⊺⇮2288⋓⊺⇮1009)))=NaN","reverse_text":"NaN=((⊺⇮3816≧⫂∧⊺⇮2644)∑⇟⊟(⊺⇮4177⪨≂⊺⇮1643))⪛(⊺⇮1826⪄⊺⇮4195⋷⊺⇮5431⪢⊺⇮1366)%(↣≠⋷(↯⪼(⊺⇮2288⋓⊺⇮1009)))","cot":[{"info":"⊺⇮3816≧⫂∧⊺⇮2644=⊺⇮2171","layer":3},{"info":"⊺⇮4177⪨≂⊺⇮1643=⊺⇮5170","layer":3},{"info":"⊺⇮2171∑⇟⊟⊺⇮5170=NaN","layer":2},{"info":"⊺⇮1826⪄⊺⇮4195=⊺⇮-283117","layer":3},{"info":"⊺⇮5431⪢⊺⇮1366=NaN","layer":3},{"info":"⊺⇮-283117⋷NaN=⊺⇮566234","layer":2},{"info":"NaN⪛⊺⇮566234=NaN","layer":1},{"info":"⊺⇮2288⋓⊺⇮1009=⊺⇮0","layer":3},{"info":"↯⪼⊺⇮0=⊺⇮-21","layer":2},{"info":"↣≠⋷⊺⇮-21=NaN","layer":1},{"info":"NaN%NaN=NaN","layer":0}]}
{"id":403,"expression_no_base_symbol":"↯⪼(($1658$/$1228$)⨪↰⇹($4301$⇋≉)%($6418$≋⫹)⨎$1289$⨪↰⇹$1132$)","expression":"↯⪼((⊺⇮1658/⊺⇮1228)⨪↰⇹(⊺⇮4301⇋≉)%(⊺⇮6418≋⫹)⨎⊺⇮1289⨪↰⇹⊺⇮1132)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1330,"operation_count":8,"complexity_ratio":166.25,"tree":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1658,"base":10},"right_expr":{"type":"numeric_atoms","value":1228,"base":10}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":4301,"base":10}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":6418,"base":10}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1289,"base":10},"right_expr":{"type":"numeric_atoms","value":1132,"base":10}}}}},"used_operators":["8jW3W4yZS5","k8jYdgA6NY","tmPS8pqC7x","XhwjNDsVaA","XIabStNQrY","rJVOvQCfKK","N41Kp7NANJ"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","rJVOvQCfKK","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮-21","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1658","layer":4},{"info":"number node, value=1228","layer":4},{"info":"compute binary expreesion, left_input=1658, right_input=1228, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"number node, value=4301","layer":4},{"info":"compute unary expreesion, input=4301, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=8504","layer":3},{"info":"compute binary expreesion, left_input=1, right_input=8504, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1","layer":2},{"info":"number node, value=6418","layer":4},{"info":"compute unary expreesion, input=6418, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-12836","layer":3},{"info":"number node, value=1289","layer":4},{"info":"number node, value=1132","layer":4},{"info":"compute binary expreesion, left_input=1289, right_input=1132, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1289","layer":3},{"info":"compute binary expreesion, left_input=-12836, right_input=1289, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1289","layer":2},{"info":"compute binary expreesion, left_input=1, right_input=1289, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1","layer":1},{"info":"compute unary expreesion, input=1, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":0}],"base":10,"result_base":10,"text":"↯⪼((⊺⇮1658/⊺⇮1228)⨪↰⇹(⊺⇮4301⇋≉)%(⊺⇮6418≋⫹)⨎⊺⇮1289⨪↰⇹⊺⇮1132)=⊺⇮-21","reverse_text":"⊺⇮-21=↯⪼((⊺⇮1658/⊺⇮1228)⨪↰⇹(⊺⇮4301⇋≉)%(⊺⇮6418≋⫹)⨎⊺⇮1289⨪↰⇹⊺⇮1132)","cot":[{"info":"⊺⇮1658/⊺⇮1228=⊺⇮1","layer":3},{"info":"⊺⇮4301⇋≉=⊺⇮8504","layer":3},{"info":"⊺⇮1⨪↰⇹⊺⇮8504=⊺⇮1","layer":2},{"info":"⊺⇮6418≋⫹=⊺⇮-12836","layer":3},{"info":"⊺⇮1289⨪↰⇹⊺⇮1132=⊺⇮1289","layer":3},{"info":"⊺⇮-12836⨎⊺⇮1289=⊺⇮1289","layer":2},{"info":"⊺⇮1%⊺⇮1289=⊺⇮1","layer":1},{"info":"↯⪼⊺⇮1=⊺⇮-21","layer":0}]}
{"id":404,"expression_no_base_symbol":"($2681$⨽$1046$)≧⫂∧(⨑⩽⪐$1171$)⋳⪒($1191$∀⇚≩$2838$⨐⩸⫘($1096$%$6519$))+(($4902$⩨$4586$)⨳⩥⨓(⋗⩬⋾$4011$))⋝⋈⪟($3211$⨎$2056$)∼(⇁⨣⪵$5431$)","expression":"(⊺⇮2681⨽⊺⇮1046)≧⫂∧(⨑⩽⪐⊺⇮1171)⋳⪒(⊺⇮1191∀⇚≩⊺⇮2838⨐⩸⫘(⊺⇮1096%⊺⇮6519))+((⊺⇮4902⩨⊺⇮4586)⨳⩥⨓(⋗⩬⋾⊺⇮4011))⋝⋈⪟(⊺⇮3211⨎⊺⇮2056)∼(⇁⨣⪵⊺⇮5431)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":11100,"operation_count":15,"complexity_ratio":740.0,"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":2681,"base":10},"right_expr":{"type":"numeric_atoms","value":1046,"base":10}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1171,"base":10}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1191,"base":10},"right_expr":{"type":"numeric_atoms","value":2838,"base":10}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1096,"base":10},"right_expr":{"type":"numeric_atoms","value":6519,"base":10}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4902,"base":10},"right_expr":{"type":"numeric_atoms","value":4586,"base":10}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":4011,"base":10}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3211,"base":10},"right_expr":{"type":"numeric_atoms","value":2056,"base":10}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":5431,"base":10}}}}},"used_operators":["W4YGzv6Whe","12rbrZMWeM","Ph9nP6C5qx","8HhzD0ZcuI","AF7qkfDlqP","fu6greOZ01","LRNGc0VcxI","k8jYdgA6NY","2DDjHMKMc0","nCS4ZIUYfx","2DlMacCsIx","DpFCA1CohY","DyGG3AbaNP","rJVOvQCfKK","inkyxCbjAn"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","3ViojmjbAp","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2681","layer":4},{"info":"number node, value=1046","layer":4},{"info":"compute binary expreesion, left_input=2681, right_input=1046, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-21565107","layer":3},{"info":"number node, value=1171","layer":4},{"info":"compute unary expreesion, input=1171, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-898","layer":3},{"info":"compute binary expreesion, left_input=-21565107, right_input=-898, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-21564209","layer":2},{"info":"number node, value=1191","layer":4},{"info":"number node, value=2838","layer":4},{"info":"compute binary expreesion, left_input=1191, right_input=2838, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1096","layer":4},{"info":"number node, value=6519","layer":4},{"info":"compute binary expreesion, left_input=1096, right_input=6519, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1096","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1096, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=-21564209, 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=4902","layer":4},{"info":"number node, value=4586","layer":4},{"info":"compute binary expreesion, left_input=4902, right_input=4586, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=4011","layer":4},{"info":"compute unary expreesion, input=4011, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-12033","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-12033, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-12033","layer":2},{"info":"number node, value=3211","layer":4},{"info":"number node, value=2056","layer":4},{"info":"compute binary expreesion, left_input=3211, right_input=2056, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2056","layer":3},{"info":"number node, value=5431","layer":4},{"info":"compute unary expreesion, input=5431, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2056, 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=-12033, 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 = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮2681⨽⊺⇮1046)≧⫂∧(⨑⩽⪐⊺⇮1171)⋳⪒(⊺⇮1191∀⇚≩⊺⇮2838⨐⩸⫘(⊺⇮1096%⊺⇮6519))+((⊺⇮4902⩨⊺⇮4586)⨳⩥⨓(⋗⩬⋾⊺⇮4011))⋝⋈⪟(⊺⇮3211⨎⊺⇮2056)∼(⇁⨣⪵⊺⇮5431)=NaN","reverse_text":"NaN=(⊺⇮2681⨽⊺⇮1046)≧⫂∧(⨑⩽⪐⊺⇮1171)⋳⪒(⊺⇮1191∀⇚≩⊺⇮2838⨐⩸⫘(⊺⇮1096%⊺⇮6519))+((⊺⇮4902⩨⊺⇮4586)⨳⩥⨓(⋗⩬⋾⊺⇮4011))⋝⋈⪟(⊺⇮3211⨎⊺⇮2056)∼(⇁⨣⪵⊺⇮5431)","cot":[{"info":"⊺⇮2681⨽⊺⇮1046=⊺⇮-21565107","layer":3},{"info":"⨑⩽⪐⊺⇮1171=⊺⇮-898","layer":3},{"info":"⊺⇮-21565107≧⫂∧⊺⇮-898=⊺⇮-21564209","layer":2},{"info":"⊺⇮1191∀⇚≩⊺⇮2838=NaN","layer":3},{"info":"⊺⇮1096%⊺⇮6519=⊺⇮1096","layer":3},{"info":"NaN⨐⩸⫘⊺⇮1096=NaN","layer":2},{"info":"⊺⇮-21564209⋳⪒NaN=NaN","layer":1},{"info":"⊺⇮4902⩨⊺⇮4586=⊺⇮0","layer":3},{"info":"⋗⩬⋾⊺⇮4011=⊺⇮-12033","layer":3},{"info":"⊺⇮0⨳⩥⨓⊺⇮-12033=⊺⇮-12033","layer":2},{"info":"⊺⇮3211⨎⊺⇮2056=⊺⇮2056","layer":3},{"info":"⇁⨣⪵⊺⇮5431=NaN","layer":3},{"info":"⊺⇮2056∼NaN=NaN","layer":2},{"info":"⊺⇮-12033⋝⋈⪟NaN=NaN","layer":1},{"info":"NaN+NaN=NaN","layer":0}]}
{"id":405,"expression_no_base_symbol":"($1887$∑⇟⊟$1339$+⇶⊼($3000$⋷$2238$))⨟⋌⩍($8549$∀⇚≩$1607$∲⫓$6382$⪘⫢$1000$)⩚⊴⇥($1369$↺$5323$⨳⩥⨓(⨞⊢$2674$)⇼⇔∾(↯⪼(-$5468$)))","expression":"(⊺⇮1887∑⇟⊟⊺⇮1339+⇶⊼(⊺⇮3000⋷⊺⇮2238))⨟⋌⩍(⊺⇮8549∀⇚≩⊺⇮1607∲⫓⊺⇮6382⪘⫢⊺⇮1000)⩚⊴⇥(⊺⇮1369↺⊺⇮5323⨳⩥⨓(⨞⊢⊺⇮2674)⇼⇔∾(↯⪼(-⊺⇮5468)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":59892,"operation_count":14,"complexity_ratio":4278.0,"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":1887,"base":10},"right_expr":{"type":"numeric_atoms","value":1339,"base":10}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3000,"base":10},"right_expr":{"type":"numeric_atoms","value":2238,"base":10}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":8549,"base":10},"right_expr":{"type":"numeric_atoms","value":1607,"base":10}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":6382,"base":10},"right_expr":{"type":"numeric_atoms","value":1000,"base":10}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1369,"base":10},"right_expr":{"type":"numeric_atoms","value":5323,"base":10}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2674,"base":10}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":5468,"base":10}}}}},"used_operators":["NTOWxs364D","rGHVDoGpnC","TpPTUOHfaN","U7g4x0WXJJ","23Mk6UjR3U","i8ToyICDmI","LRNGc0VcxI","oacrs7FA3X","tifHPKVTfV","nCS4ZIUYfx","7j4O788W3g","xUOZtlo3hN","8jW3W4yZS5","t8gj7n24qd"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Tcnh7f0tEr","AHs5Up7iyr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1887","layer":4},{"info":"number node, value=1339","layer":4},{"info":"compute binary expreesion, left_input=1887, right_input=1339, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=3000","layer":4},{"info":"number node, value=2238","layer":4},{"info":"compute binary expreesion, left_input=3000, right_input=2238, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1476","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1476, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=8549","layer":4},{"info":"number node, value=1607","layer":4},{"info":"compute binary expreesion, left_input=8549, right_input=1607, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=6382","layer":4},{"info":"number node, value=1000","layer":4},{"info":"compute binary expreesion, left_input=6382, right_input=1000, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=12640","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=12640, 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 = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1369","layer":4},{"info":"number node, value=5323","layer":4},{"info":"compute binary expreesion, left_input=1369, right_input=5323, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5323","layer":3},{"info":"number node, value=2674","layer":4},{"info":"compute unary expreesion, input=2674, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2848","layer":3},{"info":"compute binary expreesion, left_input=5323, right_input=-2848, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-8171","layer":2},{"info":"number node, value=5468","layer":4},{"info":"compute unary expreesion, input=5468, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-5468","layer":3},{"info":"compute unary expreesion, input=-5468, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=10019","layer":2},{"info":"compute binary expreesion, left_input=-8171, right_input=10019, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=18190","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=18190, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1887∑⇟⊟⊺⇮1339+⇶⊼(⊺⇮3000⋷⊺⇮2238))⨟⋌⩍(⊺⇮8549∀⇚≩⊺⇮1607∲⫓⊺⇮6382⪘⫢⊺⇮1000)⩚⊴⇥(⊺⇮1369↺⊺⇮5323⨳⩥⨓(⨞⊢⊺⇮2674)⇼⇔∾(↯⪼(-⊺⇮5468)))=NaN","reverse_text":"NaN=(⊺⇮1887∑⇟⊟⊺⇮1339+⇶⊼(⊺⇮3000⋷⊺⇮2238))⨟⋌⩍(⊺⇮8549∀⇚≩⊺⇮1607∲⫓⊺⇮6382⪘⫢⊺⇮1000)⩚⊴⇥(⊺⇮1369↺⊺⇮5323⨳⩥⨓(⨞⊢⊺⇮2674)⇼⇔∾(↯⪼(-⊺⇮5468)))","cot":[{"info":"⊺⇮1887∑⇟⊟⊺⇮1339=NaN","layer":3},{"info":"⊺⇮3000⋷⊺⇮2238=⊺⇮1476","layer":3},{"info":"NaN+⇶⊼⊺⇮1476=NaN","layer":2},{"info":"⊺⇮8549∀⇚≩⊺⇮1607=NaN","layer":3},{"info":"⊺⇮6382⪘⫢⊺⇮1000=⊺⇮12640","layer":3},{"info":"NaN∲⫓⊺⇮12640=⊺⇮0","layer":2},{"info":"NaN⨟⋌⩍⊺⇮0=NaN","layer":1},{"info":"⊺⇮1369↺⊺⇮5323=⊺⇮5323","layer":3},{"info":"⨞⊢⊺⇮2674=⊺⇮-2848","layer":3},{"info":"⊺⇮5323⨳⩥⨓⊺⇮-2848=⊺⇮-8171","layer":2},{"info":"-⊺⇮5468=⊺⇮-5468","layer":3},{"info":"↯⪼⊺⇮-5468=⊺⇮10019","layer":2},{"info":"⊺⇮-8171⇼⇔∾⊺⇮10019=⊺⇮18190","layer":1},{"info":"NaN⩚⊴⇥⊺⇮18190=NaN","layer":0}]}
{"id":406,"expression_no_base_symbol":"($1846$⨪↰⇹$4173$⊉≛↸$1353$⩚⊴⇥$7494$⫡⨏($3621$⇼⇔∾$1007$)⨐⩸⫘(⨰⫟⨤$1695$))⨽(⨑⩽⪐($1248$↛⩡⫤))⋝⋈⪟(($5631$↛⩡⫤)⨽(∥⊫$2496$))","expression":"(⊺⇮1846⨪↰⇹⊺⇮4173⊉≛↸⊺⇮1353⩚⊴⇥⊺⇮7494⫡⨏(⊺⇮3621⇼⇔∾⊺⇮1007)⨐⩸⫘(⨰⫟⨤⊺⇮1695))⨽(⨑⩽⪐(⊺⇮1248↛⩡⫤))⋝⋈⪟((⊺⇮5631↛⩡⫤)⨽(∥⊫⊺⇮2496))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":875109,"operation_count":14,"complexity_ratio":62507.78571428572,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1846,"base":10},"right_expr":{"type":"numeric_atoms","value":4173,"base":10}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1353,"base":10},"right_expr":{"type":"numeric_atoms","value":7494,"base":10}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3621,"base":10},"right_expr":{"type":"numeric_atoms","value":1007,"base":10}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1695,"base":10}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1248,"base":10}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":5631,"base":10}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":2496,"base":10}}}}},"used_operators":["8HhzD0ZcuI","QMFrweE19q","DZ8iAZOCBD","tmPS8pqC7x","NTOWxs364D","fu6greOZ01","tifHPKVTfV","Tw270M8GLb","2DDjHMKMc0","AF7qkfDlqP","FU0Cs4j7VP","P8v4zCKN1o"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1846","layer":4},{"info":"number node, value=4173","layer":4},{"info":"compute binary expreesion, left_input=1846, right_input=4173, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1846","layer":3},{"info":"number node, value=1353","layer":4},{"info":"number node, value=7494","layer":4},{"info":"compute binary expreesion, left_input=1353, right_input=7494, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8968","layer":3},{"info":"compute binary expreesion, left_input=1846, right_input=-8968, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3692","layer":2},{"info":"number node, value=3621","layer":4},{"info":"number node, value=1007","layer":4},{"info":"compute binary expreesion, left_input=3621, right_input=1007, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-2614","layer":3},{"info":"number node, value=1695","layer":4},{"info":"compute unary expreesion, input=1695, 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=-2614, 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=3692, 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=1248","layer":4},{"info":"compute unary expreesion, input=1248, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-184537","layer":3},{"info":"compute unary expreesion, input=-184537, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=369863","layer":2},{"info":"number node, value=5631","layer":4},{"info":"compute unary expreesion, input=5631, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-846370","layer":3},{"info":"number node, value=2496","layer":4},{"info":"compute unary expreesion, input=2496, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3364","layer":3},{"info":"compute binary expreesion, left_input=-846370, right_input=3364, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":2},{"info":"compute binary expreesion, left_input=369863, right_input=-inf, 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 = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1846⨪↰⇹⊺⇮4173⊉≛↸⊺⇮1353⩚⊴⇥⊺⇮7494⫡⨏(⊺⇮3621⇼⇔∾⊺⇮1007)⨐⩸⫘(⨰⫟⨤⊺⇮1695))⨽(⨑⩽⪐(⊺⇮1248↛⩡⫤))⋝⋈⪟((⊺⇮5631↛⩡⫤)⨽(∥⊫⊺⇮2496))=NaN","reverse_text":"NaN=(⊺⇮1846⨪↰⇹⊺⇮4173⊉≛↸⊺⇮1353⩚⊴⇥⊺⇮7494⫡⨏(⊺⇮3621⇼⇔∾⊺⇮1007)⨐⩸⫘(⨰⫟⨤⊺⇮1695))⨽(⨑⩽⪐(⊺⇮1248↛⩡⫤))⋝⋈⪟((⊺⇮5631↛⩡⫤)⨽(∥⊫⊺⇮2496))","cot":[{"info":"⊺⇮1846⨪↰⇹⊺⇮4173=⊺⇮1846","layer":3},{"info":"⊺⇮1353⩚⊴⇥⊺⇮7494=⊺⇮-8968","layer":3},{"info":"⊺⇮1846⊉≛↸⊺⇮-8968=⊺⇮3692","layer":2},{"info":"⊺⇮3621⇼⇔∾⊺⇮1007=⊺⇮-2614","layer":3},{"info":"⨰⫟⨤⊺⇮1695=NaN","layer":3},{"info":"⊺⇮-2614⨐⩸⫘NaN=NaN","layer":2},{"info":"⊺⇮3692⫡⨏NaN=NaN","layer":1},{"info":"⊺⇮1248↛⩡⫤=⊺⇮-184537","layer":3},{"info":"⨑⩽⪐⊺⇮-184537=⊺⇮369863","layer":2},{"info":"⊺⇮5631↛⩡⫤=⊺⇮-846370","layer":3},{"info":"∥⊫⊺⇮2496=⊺⇮3364","layer":3},{"info":"⊺⇮-846370⨽⊺⇮3364=-Inf","layer":2},{"info":"⊺⇮369863⋝⋈⪟-Inf=NaN","layer":1},{"info":"NaN⨽NaN=NaN","layer":0}]}
{"id":407,"expression_no_base_symbol":"⇁⨣⪵((⨈⫕$5937$)⊉≛↸$2208$≧⫂∧$2116$)⇷($1126$⪮%⊝$1158$↛⩡⫤)","expression":"⇁⨣⪵((⨈⫕⊺⇮5937)⊉≛↸⊺⇮2208≧⫂∧⊺⇮2116)⇷(⊺⇮1126⪮%⊝⊺⇮1158↛⩡⫤)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":8833,"operation_count":7,"complexity_ratio":1261.857142857143,"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":5937,"base":10}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2208,"base":10},"right_expr":{"type":"numeric_atoms","value":2116,"base":10}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1126,"base":10},"right_expr":{"type":"numeric_atoms","value":1158,"base":10}}}}},"used_operators":["inkyxCbjAn","mp7IySMOzn","DZ8iAZOCBD","megm06wKyl","Ph9nP6C5qx","FU0Cs4j7VP","IWmyXbctLI"],"dependent_operators":["B5M0gjZbta","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5937","layer":4},{"info":"compute unary expreesion, input=5937, 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=2208","layer":4},{"info":"number node, value=2116","layer":4},{"info":"compute binary expreesion, left_input=2208, right_input=2116, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1643","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=1643, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-42","layer":2},{"info":"number node, value=1126","layer":4},{"info":"number node, value=1158","layer":4},{"info":"compute binary expreesion, left_input=1126, right_input=1158, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2568","layer":3},{"info":"compute unary expreesion, input=2568, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-383857","layer":2},{"info":"compute binary expreesion, left_input=-42, right_input=-383857, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⇁⨣⪵((⨈⫕⊺⇮5937)⊉≛↸⊺⇮2208≧⫂∧⊺⇮2116)⇷(⊺⇮1126⪮%⊝⊺⇮1158↛⩡⫤)=NaN","reverse_text":"NaN=⇁⨣⪵((⨈⫕⊺⇮5937)⊉≛↸⊺⇮2208≧⫂∧⊺⇮2116)⇷(⊺⇮1126⪮%⊝⊺⇮1158↛⩡⫤)","cot":[{"info":"⨈⫕⊺⇮5937=⊺⇮-21","layer":3},{"info":"⊺⇮2208≧⫂∧⊺⇮2116=⊺⇮1643","layer":3},{"info":"⊺⇮-21⊉≛↸⊺⇮1643=⊺⇮-42","layer":2},{"info":"⊺⇮1126⪮%⊝⊺⇮1158=⊺⇮2568","layer":3},{"info":"⊺⇮2568↛⩡⫤=⊺⇮-383857","layer":2},{"info":"⊺⇮-42⇷⊺⇮-383857=NaN","layer":1},{"info":"⇁⨣⪵NaN=NaN","layer":0}]}
{"id":408,"expression_no_base_symbol":"⨰⫟⨤((⊥($1043$⫡⨏$4338$))⪐)","expression":"⨰⫟⨤((⊥(⊺⇮1043⫡⨏⊺⇮4338))⪐)","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":39,"operation_count":4,"complexity_ratio":9.75,"tree":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1043,"base":10},"right_expr":{"type":"numeric_atoms","value":4338,"base":10}}}}},"used_operators":["Tw270M8GLb","eH2TOUuTDT","Q3PJZHRvZv","QMFrweE19q"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1043","layer":4},{"info":"number node, value=4338","layer":4},{"info":"compute binary expreesion, left_input=1043, right_input=4338, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=14674","layer":3},{"info":"compute unary expreesion, input=14674, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⨰⫟⨤((⊥(⊺⇮1043⫡⨏⊺⇮4338))⪐)=NaN","reverse_text":"NaN=⨰⫟⨤((⊥(⊺⇮1043⫡⨏⊺⇮4338))⪐)","cot":[{"info":"⊺⇮1043⫡⨏⊺⇮4338=⊺⇮14674","layer":3},{"info":"⊥⊺⇮14674=NaN","layer":2},{"info":"NaN⪐=NaN","layer":1},{"info":"⨰⫟⨤NaN=NaN","layer":0}]}
{"id":409,"expression_no_base_symbol":"(((⋗⩬⋾$5253$)⫌⩹⨱)⪒($4183$⊉≛↸$5210$↪⪝))⩤","expression":"(((⋗⩬⋾⊺⇮5253)⫌⩹⨱)⪒(⊺⇮4183⊉≛↸⊺⇮5210↪⪝))⩤","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":716,"operation_count":6,"complexity_ratio":119.33333333333333,"tree":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":5253,"base":10}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4183,"base":10},"right_expr":{"type":"numeric_atoms","value":5210,"base":10}}}}},"used_operators":["Z2TMIBDE3Q","f6k1SAg4EE","EBcxylXtPf","DpFCA1CohY","l07mrZUIn9","DZ8iAZOCBD"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮511818495","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5253","layer":4},{"info":"compute unary expreesion, input=5253, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-15759","layer":3},{"info":"compute unary expreesion, input=-15759, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=-30117","layer":2},{"info":"number node, value=4183","layer":4},{"info":"number node, value=5210","layer":4},{"info":"compute binary expreesion, left_input=4183, right_input=5210, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=8366","layer":3},{"info":"compute unary expreesion, input=8366, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=511848612","layer":2},{"info":"compute binary expreesion, left_input=-30117, right_input=511848612, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-511818495","layer":1},{"info":"compute unary expreesion, input=-511818495, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=511818495","layer":0}],"base":10,"result_base":10,"text":"(((⋗⩬⋾⊺⇮5253)⫌⩹⨱)⪒(⊺⇮4183⊉≛↸⊺⇮5210↪⪝))⩤=⊺⇮511818495","reverse_text":"⊺⇮511818495=(((⋗⩬⋾⊺⇮5253)⫌⩹⨱)⪒(⊺⇮4183⊉≛↸⊺⇮5210↪⪝))⩤","cot":[{"info":"⋗⩬⋾⊺⇮5253=⊺⇮-15759","layer":3},{"info":"⊺⇮-15759⫌⩹⨱=⊺⇮-30117","layer":2},{"info":"⊺⇮4183⊉≛↸⊺⇮5210=⊺⇮8366","layer":3},{"info":"⊺⇮8366↪⪝=⊺⇮511848612","layer":2},{"info":"⊺⇮-30117⪒⊺⇮511848612=⊺⇮-511818495","layer":1},{"info":"⊺⇮-511818495⩤=⊺⇮511818495","layer":0}]}
{"id":410,"expression_no_base_symbol":"↔((($2737$≧⫂∧$2668$)↬($1023$*$2928$))⇷(($3833$≭$4326$)⩷∴($3268$⇼⇔∾$1650$)))","expression":"↔(((⊺⇮2737≧⫂∧⊺⇮2668)↬(⊺⇮1023*⊺⇮2928))⇷((⊺⇮3833≭⊺⇮4326)⩷∴(⊺⇮3268⇼⇔∾⊺⇮1650)))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1063,"operation_count":8,"complexity_ratio":132.875,"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":2737,"base":10},"right_expr":{"type":"numeric_atoms","value":2668,"base":10}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1023,"base":10},"right_expr":{"type":"numeric_atoms","value":2928,"base":10}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3833,"base":10},"right_expr":{"type":"numeric_atoms","value":4326,"base":10}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3268,"base":10},"right_expr":{"type":"numeric_atoms","value":1650,"base":10}}}}},"used_operators":["ruOEQAzv1W","mp7IySMOzn","B5M0gjZbta","Ph9nP6C5qx","9HNa5Wba9A","9FxExcQeMw","rxpJgHHUmx","tifHPKVTfV"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"⊺⇮-134","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2737","layer":4},{"info":"number node, value=2668","layer":4},{"info":"compute binary expreesion, left_input=2737, right_input=2668, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2195","layer":3},{"info":"number node, value=1023","layer":4},{"info":"number node, value=2928","layer":4},{"info":"compute binary expreesion, left_input=1023, right_input=2928, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2995344","layer":3},{"info":"compute binary expreesion, left_input=2195, right_input=2995344, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=3833","layer":4},{"info":"number node, value=4326","layer":4},{"info":"compute binary expreesion, left_input=3833, right_input=4326, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=3268","layer":4},{"info":"number node, value=1650","layer":4},{"info":"compute binary expreesion, left_input=3268, right_input=1650, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1618","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1618, 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 = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((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":10,"result_base":10,"text":"↔(((⊺⇮2737≧⫂∧⊺⇮2668)↬(⊺⇮1023*⊺⇮2928))⇷((⊺⇮3833≭⊺⇮4326)⩷∴(⊺⇮3268⇼⇔∾⊺⇮1650)))=⊺⇮-134","reverse_text":"⊺⇮-134=↔(((⊺⇮2737≧⫂∧⊺⇮2668)↬(⊺⇮1023*⊺⇮2928))⇷((⊺⇮3833≭⊺⇮4326)⩷∴(⊺⇮3268⇼⇔∾⊺⇮1650)))","cot":[{"info":"⊺⇮2737≧⫂∧⊺⇮2668=⊺⇮2195","layer":3},{"info":"⊺⇮1023*⊺⇮2928=⊺⇮2995344","layer":3},{"info":"⊺⇮2195↬⊺⇮2995344=NaN","layer":2},{"info":"⊺⇮3833≭⊺⇮4326=NaN","layer":3},{"info":"⊺⇮3268⇼⇔∾⊺⇮1650=⊺⇮-1618","layer":3},{"info":"NaN⩷∴⊺⇮-1618=NaN","layer":2},{"info":"NaN⇷NaN=NaN","layer":1},{"info":"↔NaN=⊺⇮-134","layer":0}]}
{"id":411,"expression_no_base_symbol":"(↔$1325$)⨰($5951$⇼⇔∾$7090$)≧⫂∧($3846$⊦⊿)⨪↰⇹($1955$⨎$1597$)⇼⇔∾(($3761$⊭∹↮)⪢(⊙↵-$1412$))⊴((↣≠⋷$4316$)⩨($4056$≋⫹))","expression":"(↔⊺⇮1325)⨰(⊺⇮5951⇼⇔∾⊺⇮7090)≧⫂∧(⊺⇮3846⊦⊿)⨪↰⇹(⊺⇮1955⨎⊺⇮1597)⇼⇔∾((⊺⇮3761⊭∹↮)⪢(⊙↵-⊺⇮1412))⊴((↣≠⋷⊺⇮4316)⩨(⊺⇮4056≋⫹))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":20645,"operation_count":15,"complexity_ratio":1376.3333333333333,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1325,"base":10}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":5951,"base":10},"right_expr":{"type":"numeric_atoms","value":7090,"base":10}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":3846,"base":10}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1955,"base":10},"right_expr":{"type":"numeric_atoms","value":1597,"base":10}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":3761,"base":10}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1412,"base":10}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":4316,"base":10}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":4056,"base":10}}}}},"used_operators":["tifHPKVTfV","Ph9nP6C5qx","eewbuw0ToL","ruOEQAzv1W","tmPS8pqC7x","14qkJME0vr","rJVOvQCfKK","Nsiff2A1zJ","dWAJyo7jo9","xNBdhnnwKq","oWn0xqSxBt","2DlMacCsIx","Asc51vEJeQ","N41Kp7NANJ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","14qkJME0vr","k8jYdgA6NY","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1325","layer":4},{"info":"compute unary expreesion, input=1325, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1052","layer":3},{"info":"number node, value=5951","layer":4},{"info":"number node, value=7090","layer":4},{"info":"compute binary expreesion, left_input=5951, right_input=7090, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1139","layer":3},{"info":"compute binary expreesion, left_input=-1052, right_input=1139, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2181","layer":2},{"info":"number node, value=3846","layer":4},{"info":"compute unary expreesion, input=3846, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-11617","layer":3},{"info":"number node, value=1955","layer":4},{"info":"number node, value=1597","layer":4},{"info":"compute binary expreesion, left_input=1955, right_input=1597, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1597","layer":3},{"info":"compute binary expreesion, left_input=-11617, right_input=1597, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=11617","layer":2},{"info":"compute binary expreesion, left_input=-2181, right_input=11617, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=11144","layer":1},{"info":"number node, value=3761","layer":4},{"info":"compute unary expreesion, input=3761, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=7522","layer":3},{"info":"number node, value=1412","layer":4},{"info":"compute unary expreesion, input=1412, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=7522, right_input=-1, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=0","layer":2},{"info":"number node, value=4316","layer":4},{"info":"compute unary expreesion, input=4316, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=4056","layer":4},{"info":"compute unary expreesion, input=4056, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-8112","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-8112, 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 = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=11144, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(↔⊺⇮1325)⨰(⊺⇮5951⇼⇔∾⊺⇮7090)≧⫂∧(⊺⇮3846⊦⊿)⨪↰⇹(⊺⇮1955⨎⊺⇮1597)⇼⇔∾((⊺⇮3761⊭∹↮)⪢(⊙↵-⊺⇮1412))⊴((↣≠⋷⊺⇮4316)⩨(⊺⇮4056≋⫹))=NaN","reverse_text":"NaN=(↔⊺⇮1325)⨰(⊺⇮5951⇼⇔∾⊺⇮7090)≧⫂∧(⊺⇮3846⊦⊿)⨪↰⇹(⊺⇮1955⨎⊺⇮1597)⇼⇔∾((⊺⇮3761⊭∹↮)⪢(⊙↵-⊺⇮1412))⊴((↣≠⋷⊺⇮4316)⩨(⊺⇮4056≋⫹))","cot":[{"info":"↔⊺⇮1325=⊺⇮-1052","layer":3},{"info":"⊺⇮5951⇼⇔∾⊺⇮7090=⊺⇮1139","layer":3},{"info":"⊺⇮-1052⨰⊺⇮1139=⊺⇮-2181","layer":2},{"info":"⊺⇮3846⊦⊿=⊺⇮-11617","layer":3},{"info":"⊺⇮1955⨎⊺⇮1597=⊺⇮1597","layer":3},{"info":"⊺⇮-11617⨪↰⇹⊺⇮1597=⊺⇮11617","layer":2},{"info":"⊺⇮-2181≧⫂∧⊺⇮11617=⊺⇮11144","layer":1},{"info":"⊺⇮3761⊭∹↮=⊺⇮7522","layer":3},{"info":"⊙↵-⊺⇮1412=⊺⇮-1","layer":3},{"info":"⊺⇮7522⪢⊺⇮-1=⊺⇮0","layer":2},{"info":"↣≠⋷⊺⇮4316=NaN","layer":3},{"info":"⊺⇮4056≋⫹=⊺⇮-8112","layer":3},{"info":"NaN⩨⊺⇮-8112=NaN","layer":2},{"info":"⊺⇮0⊴NaN=NaN","layer":1},{"info":"⊺⇮11144⇼⇔∾NaN=NaN","layer":0}]}
{"id":412,"expression_no_base_symbol":"(($2077$⨐⩸⫘$2248$)⩚⊴⇥$1125$⇷$1490$)↬($1246$⪢$2496$⪄(⫓⪴$1015$))⨓(($2946$⩷∴$1583$⊠≄⫣)⨐⩸⫘($3547$∸)≹⇙⪍($1865$⨟⋌⩍$3755$))","expression":"((⊺⇮2077⨐⩸⫘⊺⇮2248)⩚⊴⇥⊺⇮1125⇷⊺⇮1490)↬(⊺⇮1246⪢⊺⇮2496⪄(⫓⪴⊺⇮1015))⨓((⊺⇮2946⩷∴⊺⇮1583⊠≄⫣)⨐⩸⫘(⊺⇮3547∸)≹⇙⪍(⊺⇮1865⨟⋌⩍⊺⇮3755))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":19490,"operation_count":14,"complexity_ratio":1392.142857142857,"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":2077,"base":10},"right_expr":{"type":"numeric_atoms","value":2248,"base":10}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1125,"base":10},"right_expr":{"type":"numeric_atoms","value":1490,"base":10}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1246,"base":10},"right_expr":{"type":"numeric_atoms","value":2496,"base":10}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1015,"base":10}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2946,"base":10},"right_expr":{"type":"numeric_atoms","value":1583,"base":10}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":3547,"base":10}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1865,"base":10},"right_expr":{"type":"numeric_atoms","value":3755,"base":10}}}}},"used_operators":["3ViojmjbAp","B5M0gjZbta","NTOWxs364D","fu6greOZ01","mp7IySMOzn","SUmda5xLS4","dWAJyo7jo9","eLxqMNBOBk","DIvbN7qnHd","9FxExcQeMw","AHs5Up7iyr","o20kRiQErp","rGHVDoGpnC"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","3ViojmjbAp","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","k8jYdgA6NY","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","tmPS8pqC7x","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2077","layer":4},{"info":"number node, value=2248","layer":4},{"info":"compute binary expreesion, left_input=2077, right_input=2248, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=1490","layer":4},{"info":"compute binary expreesion, left_input=1125, right_input=1490, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2980","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2980, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"number node, value=1246","layer":4},{"info":"number node, value=2496","layer":4},{"info":"compute binary expreesion, left_input=1246, right_input=2496, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1015","layer":4},{"info":"compute unary expreesion, input=1015, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1030225","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1030225, 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 = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=2946","layer":4},{"info":"number node, value=1583","layer":4},{"info":"compute binary expreesion, left_input=2946, right_input=1583, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2694","layer":3},{"info":"compute unary expreesion, input=2694, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"number node, value=3547","layer":4},{"info":"compute unary expreesion, input=3547, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=1865","layer":4},{"info":"number node, value=3755","layer":4},{"info":"compute binary expreesion, left_input=1865, right_input=3755, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=177, 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=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 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":10,"result_base":10,"text":"((⊺⇮2077⨐⩸⫘⊺⇮2248)⩚⊴⇥⊺⇮1125⇷⊺⇮1490)↬(⊺⇮1246⪢⊺⇮2496⪄(⫓⪴⊺⇮1015))⨓((⊺⇮2946⩷∴⊺⇮1583⊠≄⫣)⨐⩸⫘(⊺⇮3547∸)≹⇙⪍(⊺⇮1865⨟⋌⩍⊺⇮3755))=NaN","reverse_text":"NaN=((⊺⇮2077⨐⩸⫘⊺⇮2248)⩚⊴⇥⊺⇮1125⇷⊺⇮1490)↬(⊺⇮1246⪢⊺⇮2496⪄(⫓⪴⊺⇮1015))⨓((⊺⇮2946⩷∴⊺⇮1583⊠≄⫣)⨐⩸⫘(⊺⇮3547∸)≹⇙⪍(⊺⇮1865⨟⋌⩍⊺⇮3755))","cot":[{"info":"⊺⇮2077⨐⩸⫘⊺⇮2248=NaN","layer":3},{"info":"⊺⇮1125⇷⊺⇮1490=⊺⇮2980","layer":3},{"info":"NaN⩚⊴⇥⊺⇮2980=NaN","layer":2},{"info":"⊺⇮1246⪢⊺⇮2496=NaN","layer":3},{"info":"⫓⪴⊺⇮1015=⊺⇮1030225","layer":3},{"info":"NaN⪄⊺⇮1030225=⊺⇮3979","layer":2},{"info":"NaN↬⊺⇮3979=NaN","layer":1},{"info":"⊺⇮2946⩷∴⊺⇮1583=⊺⇮2694","layer":3},{"info":"⊺⇮2694⊠≄⫣=⊺⇮0","layer":2},{"info":"⊺⇮3547∸=⊺⇮177","layer":3},{"info":"⊺⇮1865⨟⋌⩍⊺⇮3755=NaN","layer":3},{"info":"⊺⇮177≹⇙⪍NaN=NaN","layer":2},{"info":"⊺⇮0⨐⩸⫘NaN=NaN","layer":1},{"info":"NaN⨓NaN=NaN","layer":0}]}
{"id":413,"expression_no_base_symbol":"($2386$⨽$2774$⇼⇔∾$3385$⨽$3096$≋⫹)⫥∨⫟(∂(↔(↩$5657$)))","expression":"(⊺⇮2386⨽⊺⇮2774⇼⇔∾⊺⇮3385⨽⊺⇮3096≋⫹)⫥∨⫟(∂(↔(↩⊺⇮5657)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":6403,"operation_count":8,"complexity_ratio":800.375,"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":2386,"base":10},"right_expr":{"type":"numeric_atoms","value":2774,"base":10}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3385,"base":10},"right_expr":{"type":"numeric_atoms","value":3096,"base":10}}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":5657,"base":10}}}}},"used_operators":["KYD54nUTWz","N41Kp7NANJ","tifHPKVTfV","8HhzD0ZcuI","Uaa54Peajs","ruOEQAzv1W","jLgFTUHLKL"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2386","layer":4},{"info":"number node, value=2774","layer":4},{"info":"compute binary expreesion, left_input=2386, right_input=2774, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-17085996","layer":3},{"info":"number node, value=3385","layer":4},{"info":"number node, value=3096","layer":4},{"info":"compute binary expreesion, left_input=3385, right_input=3096, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-34382649","layer":3},{"info":"compute binary expreesion, left_input=-17085996, right_input=-34382649, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-17296653","layer":2},{"info":"compute unary expreesion, input=-17296653, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=34593306","layer":1},{"info":"number node, value=5657","layer":4},{"info":"compute unary expreesion, input=5657, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-42476","layer":3},{"info":"compute unary expreesion, input=-42476, 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 = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=-130","layer":1},{"info":"compute binary expreesion, left_input=34593306, right_input=-130, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮2386⨽⊺⇮2774⇼⇔∾⊺⇮3385⨽⊺⇮3096≋⫹)⫥∨⫟(∂(↔(↩⊺⇮5657)))=NaN","reverse_text":"NaN=(⊺⇮2386⨽⊺⇮2774⇼⇔∾⊺⇮3385⨽⊺⇮3096≋⫹)⫥∨⫟(∂(↔(↩⊺⇮5657)))","cot":[{"info":"⊺⇮2386⨽⊺⇮2774=⊺⇮-17085996","layer":3},{"info":"⊺⇮3385⨽⊺⇮3096=⊺⇮-34382649","layer":3},{"info":"⊺⇮-17085996⇼⇔∾⊺⇮-34382649=⊺⇮-17296653","layer":2},{"info":"⊺⇮-17296653≋⫹=⊺⇮34593306","layer":1},{"info":"↩⊺⇮5657=⊺⇮-42476","layer":3},{"info":"↔⊺⇮-42476=⊺⇮-134","layer":2},{"info":"∂⊺⇮-134=⊺⇮-130","layer":1},{"info":"⊺⇮34593306⫥∨⫟⊺⇮-130=NaN","layer":0}]}
{"id":414,"expression_no_base_symbol":"((⩦⩻⨪(⊄⩳↩$2476$))≦≮≮)↪⪝","expression":"((⩦⩻⨪(⊄⩳↩⊺⇮2476))≦≮≮)↪⪝","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":709,"operation_count":4,"complexity_ratio":177.25,"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":2476,"base":10}}}}},"used_operators":["l07mrZUIn9","D4vGDi5EA2","2td37pGCOC","8w2t5hMYqp"],"dependent_operators":["9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮1363379688","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2476","layer":4},{"info":"compute unary expreesion, input=2476, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-7428","layer":3},{"info":"compute unary expreesion, input=-7428, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-7428","layer":2},{"info":"compute unary expreesion, input=-7428, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=22284","layer":1},{"info":"compute unary expreesion, input=22284, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=1363379688","layer":0}],"base":10,"result_base":10,"text":"((⩦⩻⨪(⊄⩳↩⊺⇮2476))≦≮≮)↪⪝=⊺⇮1363379688","reverse_text":"⊺⇮1363379688=((⩦⩻⨪(⊄⩳↩⊺⇮2476))≦≮≮)↪⪝","cot":[{"info":"⊄⩳↩⊺⇮2476=⊺⇮-7428","layer":3},{"info":"⩦⩻⨪⊺⇮-7428=⊺⇮-7428","layer":2},{"info":"⊺⇮-7428≦≮≮=⊺⇮22284","layer":1},{"info":"⊺⇮22284↪⪝=⊺⇮1363379688","layer":0}]}
{"id":415,"expression_no_base_symbol":"∥⊫(⪲⇎(($3916$⨽$1476$)⊘))","expression":"∥⊫(⪲⇎((⊺⇮3916⨽⊺⇮1476)⊘))","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3952,"operation_count":4,"complexity_ratio":988.0,"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":3916,"base":10},"right_expr":{"type":"numeric_atoms","value":1476,"base":10}}}}},"used_operators":["P8v4zCKN1o","XPYlsWDdGa","gu96TGCTMs","8HhzD0ZcuI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"⊺⇮866","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3916","layer":4},{"info":"number node, value=1476","layer":4},{"info":"compute binary expreesion, left_input=3916, right_input=1476, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-46008282","layer":3},{"info":"compute unary expreesion, input=-46008282, 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 = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-2","layer":1},{"info":"compute unary expreesion, input=-2, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=866","layer":0}],"base":10,"result_base":10,"text":"∥⊫(⪲⇎((⊺⇮3916⨽⊺⇮1476)⊘))=⊺⇮866","reverse_text":"⊺⇮866=∥⊫(⪲⇎((⊺⇮3916⨽⊺⇮1476)⊘))","cot":[{"info":"⊺⇮3916⨽⊺⇮1476=⊺⇮-46008282","layer":3},{"info":"⊺⇮-46008282⊘=⊺⇮-1","layer":2},{"info":"⪲⇎⊺⇮-1=⊺⇮-2","layer":1},{"info":"∥⊫⊺⇮-2=⊺⇮866","layer":0}]}
{"id":416,"expression_no_base_symbol":"(↥(∂$1015$)≧⫂∧($3674$⩠))⇷((⪲⇎($2737$≦≮≮))≎⊠⪸(($1417$⊘)⪒$1546$⪮%⊝$3082$))","expression":"(↥(∂⊺⇮1015)≧⫂∧(⊺⇮3674⩠))⇷((⪲⇎(⊺⇮2737≦≮≮))≎⊠⪸((⊺⇮1417⊘)⪒⊺⇮1546⪮%⊝⊺⇮3082))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":600,"operation_count":11,"complexity_ratio":54.54545454545455,"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":1015,"base":10}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":3674,"base":10}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":2737,"base":10}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1417,"base":10}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1546,"base":10},"right_expr":{"type":"numeric_atoms","value":3082,"base":10}}}}},"used_operators":["mp7IySMOzn","A8NUZmVepG","Ph9nP6C5qx","Uaa54Peajs","sJAwomhLZr","bJkvcejdHO","XPYlsWDdGa","D4vGDi5EA2","f6k1SAg4EE","gu96TGCTMs","IWmyXbctLI"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⊺⇮134","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"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":"number node, value=3674","layer":4},{"info":"compute unary expreesion, input=3674, 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 = 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 = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=37","layer":1},{"info":"number node, value=2737","layer":4},{"info":"compute unary expreesion, input=2737, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-8211","layer":3},{"info":"compute unary expreesion, input=-8211, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-16422","layer":2},{"info":"number node, value=1417","layer":4},{"info":"compute unary expreesion, input=1417, 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=1546","layer":4},{"info":"number node, value=3082","layer":4},{"info":"compute binary expreesion, left_input=1546, right_input=3082, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3408","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3408, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3408","layer":2},{"info":"compute binary expreesion, left_input=-16422, right_input=-3408, 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=37, right_input=67, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=134","layer":0}],"base":10,"result_base":10,"text":"(↥(∂⊺⇮1015)≧⫂∧(⊺⇮3674⩠))⇷((⪲⇎(⊺⇮2737≦≮≮))≎⊠⪸((⊺⇮1417⊘)⪒⊺⇮1546⪮%⊝⊺⇮3082))=⊺⇮134","reverse_text":"⊺⇮134=(↥(∂⊺⇮1015)≧⫂∧(⊺⇮3674⩠))⇷((⪲⇎(⊺⇮2737≦≮≮))≎⊠⪸((⊺⇮1417⊘)⪒⊺⇮1546⪮%⊝⊺⇮3082))","cot":[{"info":"∂⊺⇮1015=NaN","layer":3},{"info":"⊺⇮3674⩠=⊺⇮0","layer":3},{"info":"NaN≧⫂∧⊺⇮0=⊺⇮-473","layer":2},{"info":"↥⊺⇮-473=⊺⇮37","layer":1},{"info":"⊺⇮2737≦≮≮=⊺⇮-8211","layer":3},{"info":"⪲⇎⊺⇮-8211=⊺⇮-16422","layer":2},{"info":"⊺⇮1417⊘=⊺⇮0","layer":3},{"info":"⊺⇮1546⪮%⊝⊺⇮3082=⊺⇮3408","layer":3},{"info":"⊺⇮0⪒⊺⇮3408=⊺⇮-3408","layer":2},{"info":"⊺⇮-16422≎⊠⪸⊺⇮-3408=⊺⇮67","layer":1},{"info":"⊺⇮37⇷⊺⇮67=⊺⇮134","layer":0}]}
{"id":417,"expression_no_base_symbol":"(⇁⨣⪵($5196$⩚⊴⇥$1176$)∼($2057$⇼⇔∾$2663$))⊉≛↸$5973$⪘⫢$1280$≎⊠⪸(⊥$4868$)↺($1045$∀⇚≩$3928$)⪛($2726$+$3697$)","expression":"(⇁⨣⪵(⊺⇮5196⩚⊴⇥⊺⇮1176)∼(⊺⇮2057⇼⇔∾⊺⇮2663))⊉≛↸⊺⇮5973⪘⫢⊺⇮1280≎⊠⪸(⊥⊺⇮4868)↺(⊺⇮1045∀⇚≩⊺⇮3928)⪛(⊺⇮2726+⊺⇮3697)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":9928,"operation_count":12,"complexity_ratio":827.3333333333334,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":5196,"base":10},"right_expr":{"type":"numeric_atoms","value":1176,"base":10}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2057,"base":10},"right_expr":{"type":"numeric_atoms","value":2663,"base":10}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":5973,"base":10},"right_expr":{"type":"numeric_atoms","value":1280,"base":10}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":4868,"base":10}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1045,"base":10},"right_expr":{"type":"numeric_atoms","value":3928,"base":10}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2726,"base":10},"right_expr":{"type":"numeric_atoms","value":3697,"base":10}}}}},"used_operators":["DZ8iAZOCBD","inkyxCbjAn","DyGG3AbaNP","NTOWxs364D","tifHPKVTfV","7j4O788W3g","bJkvcejdHO","oacrs7FA3X","Q3PJZHRvZv","uFcxV4UQCh","LRNGc0VcxI","W4YGzv6Whe"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","fu6greOZ01","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","X99M06cbEe"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5196","layer":4},{"info":"number node, value=1176","layer":4},{"info":"compute binary expreesion, left_input=5196, right_input=1176, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6493","layer":3},{"info":"number node, value=2057","layer":4},{"info":"number node, value=2663","layer":4},{"info":"compute binary expreesion, left_input=2057, right_input=2663, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=606","layer":3},{"info":"compute binary expreesion, left_input=-6493, right_input=606, 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 = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=0","layer":1},{"info":"number node, value=5973","layer":4},{"info":"number node, value=1280","layer":4},{"info":"compute binary expreesion, left_input=5973, right_input=1280, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=11822","layer":3},{"info":"number node, value=4868","layer":4},{"info":"compute unary expreesion, input=4868, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=11822, 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=1045","layer":4},{"info":"number node, value=3928","layer":4},{"info":"compute binary expreesion, left_input=1045, right_input=3928, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=2726","layer":4},{"info":"number node, value=3697","layer":4},{"info":"compute binary expreesion, left_input=2726, right_input=3697, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6423","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6423, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = 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=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":10,"result_base":10,"text":"(⇁⨣⪵(⊺⇮5196⩚⊴⇥⊺⇮1176)∼(⊺⇮2057⇼⇔∾⊺⇮2663))⊉≛↸⊺⇮5973⪘⫢⊺⇮1280≎⊠⪸(⊥⊺⇮4868)↺(⊺⇮1045∀⇚≩⊺⇮3928)⪛(⊺⇮2726+⊺⇮3697)=⊺⇮0","reverse_text":"⊺⇮0=(⇁⨣⪵(⊺⇮5196⩚⊴⇥⊺⇮1176)∼(⊺⇮2057⇼⇔∾⊺⇮2663))⊉≛↸⊺⇮5973⪘⫢⊺⇮1280≎⊠⪸(⊥⊺⇮4868)↺(⊺⇮1045∀⇚≩⊺⇮3928)⪛(⊺⇮2726+⊺⇮3697)","cot":[{"info":"⊺⇮5196⩚⊴⇥⊺⇮1176=⊺⇮-6493","layer":3},{"info":"⊺⇮2057⇼⇔∾⊺⇮2663=⊺⇮606","layer":3},{"info":"⊺⇮-6493∼⊺⇮606=⊺⇮0","layer":2},{"info":"⇁⨣⪵⊺⇮0=⊺⇮0","layer":1},{"info":"⊺⇮5973⪘⫢⊺⇮1280=⊺⇮11822","layer":3},{"info":"⊥⊺⇮4868=NaN","layer":3},{"info":"⊺⇮11822≎⊠⪸NaN=⊺⇮67","layer":2},{"info":"⊺⇮1045∀⇚≩⊺⇮3928=NaN","layer":3},{"info":"⊺⇮2726+⊺⇮3697=⊺⇮6423","layer":3},{"info":"NaN⪛⊺⇮6423=NaN","layer":2},{"info":"⊺⇮67↺NaN=NaN","layer":1},{"info":"⊺⇮0⊉≛↸NaN=⊺⇮0","layer":0}]}
{"id":418,"expression_no_base_symbol":"((($7916$⊠≄⫣)↙(⊄⩳↩$3608$))⨐⩸⫘($5223$⩨$4465$)⋳⪒(⋗⩬⋾$1651$))⪢((↯⪼($4184$≎⊠⪸$1688$))⨸⪁(∂(⨰⫟⨤$4436$)))","expression":"(((⊺⇮7916⊠≄⫣)↙(⊄⩳↩⊺⇮3608))⨐⩸⫘(⊺⇮5223⩨⊺⇮4465)⋳⪒(⋗⩬⋾⊺⇮1651))⪢((↯⪼(⊺⇮4184≎⊠⪸⊺⇮1688))⨸⪁(∂(⨰⫟⨤⊺⇮4436)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":17232,"operation_count":13,"complexity_ratio":1325.5384615384614,"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":7916,"base":10}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":3608,"base":10}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":5223,"base":10},"right_expr":{"type":"numeric_atoms","value":4465,"base":10}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1651,"base":10}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4184,"base":10},"right_expr":{"type":"numeric_atoms","value":1688,"base":10}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":4436,"base":10}}}}},"used_operators":["dWAJyo7jo9","fu6greOZ01","yyfyN0ffXY","DIvbN7qnHd","8w2t5hMYqp","12rbrZMWeM","2DlMacCsIx","DpFCA1CohY","g55IO6H4Gj","8jW3W4yZS5","bJkvcejdHO","Uaa54Peajs","Tw270M8GLb"],"dependent_operators":["k8jYdgA6NY","3ViojmjbAp","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7916","layer":4},{"info":"compute unary expreesion, input=7916, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=3608","layer":4},{"info":"compute unary expreesion, input=3608, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-10824","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-10824, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":2},{"info":"number node, value=5223","layer":4},{"info":"number node, value=4465","layer":4},{"info":"compute binary expreesion, left_input=5223, right_input=4465, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=1651","layer":4},{"info":"compute unary expreesion, input=1651, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-4953","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-4953, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=4666","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=4666, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=4184","layer":4},{"info":"number node, value=1688","layer":4},{"info":"compute binary expreesion, left_input=4184, right_input=1688, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1083183","layer":3},{"info":"compute unary expreesion, input=1083183, 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=4436","layer":4},{"info":"compute unary expreesion, input=4436, 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":"compute binary expreesion, left_input=-21, 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 = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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":10,"result_base":10,"text":"(((⊺⇮7916⊠≄⫣)↙(⊄⩳↩⊺⇮3608))⨐⩸⫘(⊺⇮5223⩨⊺⇮4465)⋳⪒(⋗⩬⋾⊺⇮1651))⪢((↯⪼(⊺⇮4184≎⊠⪸⊺⇮1688))⨸⪁(∂(⨰⫟⨤⊺⇮4436)))=NaN","reverse_text":"NaN=(((⊺⇮7916⊠≄⫣)↙(⊄⩳↩⊺⇮3608))⨐⩸⫘(⊺⇮5223⩨⊺⇮4465)⋳⪒(⋗⩬⋾⊺⇮1651))⪢((↯⪼(⊺⇮4184≎⊠⪸⊺⇮1688))⨸⪁(∂(⨰⫟⨤⊺⇮4436)))","cot":[{"info":"⊺⇮7916⊠≄⫣=⊺⇮0","layer":3},{"info":"⊄⩳↩⊺⇮3608=⊺⇮-10824","layer":3},{"info":"⊺⇮0↙⊺⇮-10824=⊺⇮0","layer":2},{"info":"⊺⇮5223⩨⊺⇮4465=⊺⇮0","layer":3},{"info":"⋗⩬⋾⊺⇮1651=⊺⇮-4953","layer":3},{"info":"⊺⇮0⋳⪒⊺⇮-4953=⊺⇮4666","layer":2},{"info":"⊺⇮0⨐⩸⫘⊺⇮4666=NaN","layer":1},{"info":"⊺⇮4184≎⊠⪸⊺⇮1688=⊺⇮1083183","layer":3},{"info":"↯⪼⊺⇮1083183=⊺⇮-21","layer":2},{"info":"⨰⫟⨤⊺⇮4436=NaN","layer":3},{"info":"∂NaN=NaN","layer":2},{"info":"⊺⇮-21⨸⪁NaN=NaN","layer":1},{"info":"NaN⪢NaN=NaN","layer":0}]}
{"id":419,"expression_no_base_symbol":"(($4685$∲⫓$2197$)∀⇚≩(⇁⨣⪵$1295$)⫡⨏($1267$⪄$1140$)↬(⪝⪂⫅$3533$))≹⇙⪍(($3389$%$1452$)⇷($5941$⋥≓≎$2581$)⫡⨏((↔$1056$)⪨≂(-$4030$)))","expression":"((⊺⇮4685∲⫓⊺⇮2197)∀⇚≩(⇁⨣⪵⊺⇮1295)⫡⨏(⊺⇮1267⪄⊺⇮1140)↬(⪝⪂⫅⊺⇮3533))≹⇙⪍((⊺⇮3389%⊺⇮1452)⇷(⊺⇮5941⋥≓≎⊺⇮2581)⫡⨏((↔⊺⇮1056)⪨≂(-⊺⇮4030)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7082,"operation_count":15,"complexity_ratio":472.1333333333333,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4685,"base":10},"right_expr":{"type":"numeric_atoms","value":2197,"base":10}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1295,"base":10}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1267,"base":10},"right_expr":{"type":"numeric_atoms","value":1140,"base":10}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":3533,"base":10}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3389,"base":10},"right_expr":{"type":"numeric_atoms","value":1452,"base":10}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":5941,"base":10},"right_expr":{"type":"numeric_atoms","value":2581,"base":10}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1056,"base":10}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":4030,"base":10}}}}},"used_operators":["AHs5Up7iyr","QMFrweE19q","LRNGc0VcxI","i8ToyICDmI","inkyxCbjAn","B5M0gjZbta","SUmda5xLS4","XTarYq4gQB","mp7IySMOzn","k8jYdgA6NY","Qy55tPpLXF","sdazOOVcIp","ruOEQAzv1W","t8gj7n24qd"],"dependent_operators":["dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","rGHVDoGpnC","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9HNa5Wba9A","8w2t5hMYqp","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4685","layer":4},{"info":"number node, value=2197","layer":4},{"info":"compute binary expreesion, left_input=4685, right_input=2197, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1295","layer":4},{"info":"compute unary expreesion, input=1295, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=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":2},{"info":"number node, value=1267","layer":4},{"info":"number node, value=1140","layer":4},{"info":"compute binary expreesion, left_input=1267, right_input=1140, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-188165","layer":3},{"info":"number node, value=3533","layer":4},{"info":"compute unary expreesion, input=3533, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-519351","layer":3},{"info":"compute binary expreesion, left_input=-188165, right_input=-519351, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = 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=3389","layer":4},{"info":"number node, value=1452","layer":4},{"info":"compute binary expreesion, left_input=3389, right_input=1452, op_id = k8jYdgA6NY binary_op_definition= 'None', output=485","layer":3},{"info":"number node, value=5941","layer":4},{"info":"number node, value=2581","layer":4},{"info":"compute binary expreesion, left_input=5941, right_input=2581, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-746","layer":3},{"info":"compute binary expreesion, left_input=485, right_input=-746, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"number node, value=1056","layer":4},{"info":"compute unary expreesion, input=1056, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-783","layer":3},{"info":"number node, value=4030","layer":4},{"info":"compute unary expreesion, input=4030, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-4030","layer":3},{"info":"compute binary expreesion, left_input=-783, right_input=-4030, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=6596","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=6596, op_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 = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":10,"result_base":10,"text":"((⊺⇮4685∲⫓⊺⇮2197)∀⇚≩(⇁⨣⪵⊺⇮1295)⫡⨏(⊺⇮1267⪄⊺⇮1140)↬(⪝⪂⫅⊺⇮3533))≹⇙⪍((⊺⇮3389%⊺⇮1452)⇷(⊺⇮5941⋥≓≎⊺⇮2581)⫡⨏((↔⊺⇮1056)⪨≂(-⊺⇮4030)))=NaN","reverse_text":"NaN=((⊺⇮4685∲⫓⊺⇮2197)∀⇚≩(⇁⨣⪵⊺⇮1295)⫡⨏(⊺⇮1267⪄⊺⇮1140)↬(⪝⪂⫅⊺⇮3533))≹⇙⪍((⊺⇮3389%⊺⇮1452)⇷(⊺⇮5941⋥≓≎⊺⇮2581)⫡⨏((↔⊺⇮1056)⪨≂(-⊺⇮4030)))","cot":[{"info":"⊺⇮4685∲⫓⊺⇮2197=⊺⇮0","layer":3},{"info":"⇁⨣⪵⊺⇮1295=NaN","layer":3},{"info":"⊺⇮0∀⇚≩NaN=NaN","layer":2},{"info":"⊺⇮1267⪄⊺⇮1140=⊺⇮-188165","layer":3},{"info":"⪝⪂⫅⊺⇮3533=⊺⇮-519351","layer":3},{"info":"⊺⇮-188165↬⊺⇮-519351=NaN","layer":2},{"info":"NaN⫡⨏NaN=NaN","layer":1},{"info":"⊺⇮3389%⊺⇮1452=⊺⇮485","layer":3},{"info":"⊺⇮5941⋥≓≎⊺⇮2581=⊺⇮-746","layer":3},{"info":"⊺⇮485⇷⊺⇮-746=NaN","layer":2},{"info":"↔⊺⇮1056=⊺⇮-783","layer":3},{"info":"-⊺⇮4030=⊺⇮-4030","layer":3},{"info":"⊺⇮-783⪨≂⊺⇮-4030=⊺⇮6596","layer":2},{"info":"NaN⫡⨏⊺⇮6596=NaN","layer":1},{"info":"NaN≹⇙⪍NaN=NaN","layer":0}]}
{"id":420,"expression_no_base_symbol":"(($1193$/$5834$)≣⋋)∑⇟⊟(≉($1177$⋷$1754$))≫≃","expression":"((⊺⇮1193/⊺⇮5834)≣⋋)∑⇟⊟(≉(⊺⇮1177⋷⊺⇮1754))≫≃","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":18,"operation_count":6,"complexity_ratio":3.0,"tree":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1193,"base":10},"right_expr":{"type":"numeric_atoms","value":5834,"base":10}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1177,"base":10},"right_expr":{"type":"numeric_atoms","value":1754,"base":10}}}}},"used_operators":["X99M06cbEe","U7g4x0WXJJ","Tcnh7f0tEr","XhwjNDsVaA","e1ybzncUwg","23Mk6UjR3U"],"dependent_operators":["2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=1193","layer":4},{"info":"number node, value=5834","layer":4},{"info":"compute binary expreesion, left_input=1193, right_input=5834, 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":"number node, value=1177","layer":4},{"info":"number node, value=1754","layer":4},{"info":"compute binary expreesion, left_input=1177, right_input=1754, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2331","layer":3},{"info":"compute unary expreesion, input=2331, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2862","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=2862, 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 = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1193/⊺⇮5834)≣⋋)∑⇟⊟(≉(⊺⇮1177⋷⊺⇮1754))≫≃=NaN","reverse_text":"NaN=((⊺⇮1193/⊺⇮5834)≣⋋)∑⇟⊟(≉(⊺⇮1177⋷⊺⇮1754))≫≃","cot":[{"info":"⊺⇮1193/⊺⇮5834=⊺⇮0","layer":3},{"info":"⊺⇮0≣⋋=⊺⇮0","layer":2},{"info":"⊺⇮1177⋷⊺⇮1754=⊺⇮2331","layer":3},{"info":"≉⊺⇮2331=⊺⇮2862","layer":2},{"info":"⊺⇮0∑⇟⊟⊺⇮2862=NaN","layer":1},{"info":"NaN≫≃=NaN","layer":0}]}
{"id":421,"expression_no_base_symbol":"(-$3097$)⨟⋌⩍($1770$≎⊠⪸$2314$)⨽(+⊝⨔($7183$↙$1740$))⫸⊐($7832$⪘⫢$1699$≣⋋)⪄($5772$⋥≓≎$3569$)⩚⊴⇥($1970$⨽$3019$)","expression":"(-⊺⇮3097)⨟⋌⩍(⊺⇮1770≎⊠⪸⊺⇮2314)⨽(+⊝⨔(⊺⇮7183↙⊺⇮1740))⫸⊐(⊺⇮7832⪘⫢⊺⇮1699≣⋋)⪄(⊺⇮5772⋥≓≎⊺⇮3569)⩚⊴⇥(⊺⇮1970⨽⊺⇮3019)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4588,"operation_count":13,"complexity_ratio":352.9230769230769,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":3097,"base":10}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1770,"base":10},"right_expr":{"type":"numeric_atoms","value":2314,"base":10}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":7183,"base":10},"right_expr":{"type":"numeric_atoms","value":1740,"base":10}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":7832,"base":10},"right_expr":{"type":"numeric_atoms","value":1699,"base":10}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":5772,"base":10},"right_expr":{"type":"numeric_atoms","value":3569,"base":10}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1970,"base":10},"right_expr":{"type":"numeric_atoms","value":3019,"base":10}}}}},"used_operators":["mqXw5SEYmG","8HhzD0ZcuI","rGHVDoGpnC","t8gj7n24qd","bJkvcejdHO","DhbWaqg5eL","yyfyN0ffXY","SUmda5xLS4","Tcnh7f0tEr","oacrs7FA3X","NTOWxs364D","Qy55tPpLXF"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","Tcnh7f0tEr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3097","layer":4},{"info":"compute unary expreesion, input=3097, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-3097","layer":3},{"info":"number node, value=1770","layer":4},{"info":"number node, value=2314","layer":4},{"info":"compute binary expreesion, left_input=1770, right_input=2314, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=457957","layer":3},{"info":"compute binary expreesion, left_input=-3097, right_input=457957, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=7183","layer":4},{"info":"number node, value=1740","layer":4},{"info":"compute binary expreesion, left_input=7183, right_input=1740, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5220","layer":3},{"info":"compute unary expreesion, input=-5220, 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 = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"number node, value=7832","layer":4},{"info":"number node, value=1699","layer":4},{"info":"compute binary expreesion, left_input=7832, right_input=1699, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=15540","layer":3},{"info":"compute unary expreesion, input=15540, 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=5772","layer":4},{"info":"number node, value=3569","layer":4},{"info":"compute binary expreesion, left_input=5772, right_input=3569, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1399","layer":3},{"info":"number node, value=1970","layer":4},{"info":"number node, value=3019","layer":4},{"info":"compute binary expreesion, left_input=1970, right_input=3019, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-11650443","layer":3},{"info":"compute binary expreesion, left_input=1399, right_input=-11650443, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=11648923","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=11648923, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-46591781","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-46591781, 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":10,"result_base":10,"text":"(-⊺⇮3097)⨟⋌⩍(⊺⇮1770≎⊠⪸⊺⇮2314)⨽(+⊝⨔(⊺⇮7183↙⊺⇮1740))⫸⊐(⊺⇮7832⪘⫢⊺⇮1699≣⋋)⪄(⊺⇮5772⋥≓≎⊺⇮3569)⩚⊴⇥(⊺⇮1970⨽⊺⇮3019)=NaN","reverse_text":"NaN=(-⊺⇮3097)⨟⋌⩍(⊺⇮1770≎⊠⪸⊺⇮2314)⨽(+⊝⨔(⊺⇮7183↙⊺⇮1740))⫸⊐(⊺⇮7832⪘⫢⊺⇮1699≣⋋)⪄(⊺⇮5772⋥≓≎⊺⇮3569)⩚⊴⇥(⊺⇮1970⨽⊺⇮3019)","cot":[{"info":"-⊺⇮3097=⊺⇮-3097","layer":3},{"info":"⊺⇮1770≎⊠⪸⊺⇮2314=⊺⇮457957","layer":3},{"info":"⊺⇮-3097⨟⋌⩍⊺⇮457957=NaN","layer":2},{"info":"⊺⇮7183↙⊺⇮1740=⊺⇮-5220","layer":3},{"info":"+⊝⨔⊺⇮-5220=⊺⇮1522","layer":2},{"info":"NaN⨽⊺⇮1522=NaN","layer":1},{"info":"⊺⇮7832⪘⫢⊺⇮1699=⊺⇮15540","layer":3},{"info":"⊺⇮15540≣⋋=⊺⇮0","layer":2},{"info":"⊺⇮5772⋥≓≎⊺⇮3569=⊺⇮1399","layer":3},{"info":"⊺⇮1970⨽⊺⇮3019=⊺⇮-11650443","layer":3},{"info":"⊺⇮1399⩚⊴⇥⊺⇮-11650443=⊺⇮11648923","layer":2},{"info":"⊺⇮0⪄⊺⇮11648923=⊺⇮-46591781","layer":1},{"info":"NaN⫸⊐⊺⇮-46591781=NaN","layer":0}]}
{"id":422,"expression_no_base_symbol":"(($1961$⨎$5033$)+⇶⊼$6512$≧⫂∧$3320$⫥∨⫟(($1841$⩨$1349$)⋥≓≎($1436$+$1216$)))∀⇚≩(⊥($6822$⪮%⊝$2610$≭($4247$%$1122$)))","expression":"((⊺⇮1961⨎⊺⇮5033)+⇶⊼⊺⇮6512≧⫂∧⊺⇮3320⫥∨⫟((⊺⇮1841⩨⊺⇮1349)⋥≓≎(⊺⇮1436+⊺⇮1216)))∀⇚≩(⊥(⊺⇮6822⪮%⊝⊺⇮2610≭(⊺⇮4247%⊺⇮1122)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":181,"operation_count":12,"complexity_ratio":15.083333333333334,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1961,"base":10},"right_expr":{"type":"numeric_atoms","value":5033,"base":10}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":6512,"base":10},"right_expr":{"type":"numeric_atoms","value":3320,"base":10}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1841,"base":10},"right_expr":{"type":"numeric_atoms","value":1349,"base":10}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1436,"base":10},"right_expr":{"type":"numeric_atoms","value":1216,"base":10}}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":6822,"base":10},"right_expr":{"type":"numeric_atoms","value":2610,"base":10}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4247,"base":10},"right_expr":{"type":"numeric_atoms","value":1122,"base":10}}}}},"used_operators":["LRNGc0VcxI","KYD54nUTWz","TpPTUOHfaN","rJVOvQCfKK","Ph9nP6C5qx","Qy55tPpLXF","2DlMacCsIx","W4YGzv6Whe","Q3PJZHRvZv","rxpJgHHUmx","IWmyXbctLI","k8jYdgA6NY"],"dependent_operators":["X99M06cbEe","8HhzD0ZcuI","rGHVDoGpnC","AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","fu6greOZ01","AHs5Up7iyr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1961","layer":4},{"info":"number node, value=5033","layer":4},{"info":"compute binary expreesion, left_input=1961, right_input=5033, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5033","layer":3},{"info":"number node, value=6512","layer":4},{"info":"number node, value=3320","layer":4},{"info":"compute binary expreesion, left_input=6512, right_input=3320, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2847","layer":3},{"info":"compute binary expreesion, left_input=5033, right_input=2847, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=1841","layer":4},{"info":"number node, value=1349","layer":4},{"info":"compute binary expreesion, left_input=1841, right_input=1349, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=1436","layer":4},{"info":"number node, value=1216","layer":4},{"info":"compute binary expreesion, left_input=1436, right_input=1216, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2652","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2652, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=5337","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5337, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=6822","layer":4},{"info":"number node, value=2610","layer":4},{"info":"compute binary expreesion, left_input=6822, right_input=2610, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=13960","layer":3},{"info":"number node, value=4247","layer":4},{"info":"number node, value=1122","layer":4},{"info":"compute binary expreesion, left_input=4247, right_input=1122, op_id = k8jYdgA6NY binary_op_definition= 'None', output=881","layer":3},{"info":"compute binary expreesion, left_input=13960, right_input=881, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘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":10,"result_base":10,"text":"((⊺⇮1961⨎⊺⇮5033)+⇶⊼⊺⇮6512≧⫂∧⊺⇮3320⫥∨⫟((⊺⇮1841⩨⊺⇮1349)⋥≓≎(⊺⇮1436+⊺⇮1216)))∀⇚≩(⊥(⊺⇮6822⪮%⊝⊺⇮2610≭(⊺⇮4247%⊺⇮1122)))=NaN","reverse_text":"NaN=((⊺⇮1961⨎⊺⇮5033)+⇶⊼⊺⇮6512≧⫂∧⊺⇮3320⫥∨⫟((⊺⇮1841⩨⊺⇮1349)⋥≓≎(⊺⇮1436+⊺⇮1216)))∀⇚≩(⊥(⊺⇮6822⪮%⊝⊺⇮2610≭(⊺⇮4247%⊺⇮1122)))","cot":[{"info":"⊺⇮1961⨎⊺⇮5033=⊺⇮5033","layer":3},{"info":"⊺⇮6512≧⫂∧⊺⇮3320=⊺⇮2847","layer":3},{"info":"⊺⇮5033+⇶⊼⊺⇮2847=NaN","layer":2},{"info":"⊺⇮1841⩨⊺⇮1349=⊺⇮0","layer":3},{"info":"⊺⇮1436+⊺⇮1216=⊺⇮2652","layer":3},{"info":"⊺⇮0⋥≓≎⊺⇮2652=⊺⇮5337","layer":2},{"info":"NaN⫥∨⫟⊺⇮5337=NaN","layer":1},{"info":"⊺⇮6822⪮%⊝⊺⇮2610=⊺⇮13960","layer":3},{"info":"⊺⇮4247%⊺⇮1122=⊺⇮881","layer":3},{"info":"⊺⇮13960≭⊺⇮881=NaN","layer":2},{"info":"⊥NaN=NaN","layer":1},{"info":"NaN∀⇚≩NaN=NaN","layer":0}]}
{"id":423,"expression_no_base_symbol":"($2451$⪨≂$3525$)⋓($1714$+⇶⊼$5416$)⊭↱$3712$⨰$3352$↙$1483$∑⇟⊟$2419$⊉≛↸(↽≂(($1435$∲⫓$1884$)≫≃))","expression":"(⊺⇮2451⪨≂⊺⇮3525)⋓(⊺⇮1714+⇶⊼⊺⇮5416)⊭↱⊺⇮3712⨰⊺⇮3352↙⊺⇮1483∑⇟⊟⊺⇮2419⊉≛↸(↽≂((⊺⇮1435∲⫓⊺⇮1884)≫≃))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":50,"operation_count":11,"complexity_ratio":4.545454545454546,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2451,"base":10},"right_expr":{"type":"numeric_atoms","value":3525,"base":10}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1714,"base":10},"right_expr":{"type":"numeric_atoms","value":5416,"base":10}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3712,"base":10},"right_expr":{"type":"numeric_atoms","value":3352,"base":10}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1483,"base":10},"right_expr":{"type":"numeric_atoms","value":2419,"base":10}}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1435,"base":10},"right_expr":{"type":"numeric_atoms","value":1884,"base":10}}}}},"used_operators":["DZ8iAZOCBD","COABgblf1C","T2fj7uvVaJ","sdazOOVcIp","TpPTUOHfaN","yyfyN0ffXY","eewbuw0ToL","U7g4x0WXJJ","u6S6b8DprG","X99M06cbEe","i8ToyICDmI"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2451","layer":4},{"info":"number node, value=3525","layer":4},{"info":"compute binary expreesion, left_input=2451, right_input=3525, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-2046","layer":3},{"info":"number node, value=1714","layer":4},{"info":"number node, value=5416","layer":4},{"info":"compute binary expreesion, left_input=1714, right_input=5416, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2046, 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=3712","layer":4},{"info":"number node, value=3352","layer":4},{"info":"compute binary expreesion, left_input=3712, right_input=3352, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=370","layer":3},{"info":"number node, value=1483","layer":4},{"info":"number node, value=2419","layer":4},{"info":"compute binary expreesion, left_input=1483, right_input=2419, 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=370, 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=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=1435","layer":4},{"info":"number node, value=1884","layer":4},{"info":"compute binary expreesion, left_input=1435, right_input=1884, 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 = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=1401","layer":2},{"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":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2802, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮2451⪨≂⊺⇮3525)⋓(⊺⇮1714+⇶⊼⊺⇮5416)⊭↱⊺⇮3712⨰⊺⇮3352↙⊺⇮1483∑⇟⊟⊺⇮2419⊉≛↸(↽≂((⊺⇮1435∲⫓⊺⇮1884)≫≃))=NaN","reverse_text":"NaN=(⊺⇮2451⪨≂⊺⇮3525)⋓(⊺⇮1714+⇶⊼⊺⇮5416)⊭↱⊺⇮3712⨰⊺⇮3352↙⊺⇮1483∑⇟⊟⊺⇮2419⊉≛↸(↽≂((⊺⇮1435∲⫓⊺⇮1884)≫≃))","cot":[{"info":"⊺⇮2451⪨≂⊺⇮3525=⊺⇮-2046","layer":3},{"info":"⊺⇮1714+⇶⊼⊺⇮5416=NaN","layer":3},{"info":"⊺⇮-2046⋓NaN=NaN","layer":2},{"info":"⊺⇮3712⨰⊺⇮3352=⊺⇮370","layer":3},{"info":"⊺⇮1483∑⇟⊟⊺⇮2419=NaN","layer":3},{"info":"⊺⇮370↙NaN=NaN","layer":2},{"info":"NaN⊭↱NaN=NaN","layer":1},{"info":"⊺⇮1435∲⫓⊺⇮1884=⊺⇮0","layer":3},{"info":"⊺⇮0≫≃=⊺⇮1401","layer":2},{"info":"↽≂⊺⇮1401=⊺⇮-2802","layer":1},{"info":"NaN⊉≛↸⊺⇮-2802=NaN","layer":0}]}
{"id":424,"expression_no_base_symbol":"($5454$+$2756$)⋥≓≎($5856$⨸⪁$3819$)⪄($2367$⊪)⨳⩥⨓($2263$⨳⩥⨓$3086$)*(⨈⫕(($3518$≋⫹)⪒$5217$≭$1239$))","expression":"(⊺⇮5454+⊺⇮2756)⋥≓≎(⊺⇮5856⨸⪁⊺⇮3819)⪄(⊺⇮2367⊪)⨳⩥⨓(⊺⇮2263⨳⩥⨓⊺⇮3086)*(⨈⫕((⊺⇮3518≋⫹)⪒⊺⇮5217≭⊺⇮1239))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":556,"operation_count":12,"complexity_ratio":46.333333333333336,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":5454,"base":10},"right_expr":{"type":"numeric_atoms","value":2756,"base":10}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":5856,"base":10},"right_expr":{"type":"numeric_atoms","value":3819,"base":10}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":2367,"base":10}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2263,"base":10},"right_expr":{"type":"numeric_atoms","value":3086,"base":10}}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":3518,"base":10}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":5217,"base":10},"right_expr":{"type":"numeric_atoms","value":1239,"base":10}}}}},"used_operators":["9HNa5Wba9A","SUmda5xLS4","Qy55tPpLXF","W4YGzv6Whe","g55IO6H4Gj","nCS4ZIUYfx","zVYPLywUTj","megm06wKyl","f6k1SAg4EE","N41Kp7NANJ","rxpJgHHUmx"],"dependent_operators":["W4YGzv6Whe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr"],"result":"⊺⇮94852485","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5454","layer":4},{"info":"number node, value=2756","layer":4},{"info":"compute binary expreesion, left_input=5454, right_input=2756, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8210","layer":3},{"info":"number node, value=5856","layer":4},{"info":"number node, value=3819","layer":4},{"info":"compute binary expreesion, left_input=5856, right_input=3819, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=19350","layer":3},{"info":"compute binary expreesion, left_input=8210, right_input=19350, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=30523","layer":2},{"info":"number node, value=2367","layer":4},{"info":"compute unary expreesion, input=2367, 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=2263","layer":4},{"info":"number node, value=3086","layer":4},{"info":"compute binary expreesion, left_input=2263, right_input=3086, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=823","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=823, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=823","layer":2},{"info":"compute binary expreesion, left_input=30523, right_input=823, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-4516785","layer":1},{"info":"number node, value=3518","layer":4},{"info":"compute unary expreesion, input=3518, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-7036","layer":3},{"info":"number node, value=5217","layer":4},{"info":"number node, value=1239","layer":4},{"info":"compute binary expreesion, left_input=5217, right_input=1239, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=-7036, 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 = 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=-4516785, right_input=-21, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=94852485","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮5454+⊺⇮2756)⋥≓≎(⊺⇮5856⨸⪁⊺⇮3819)⪄(⊺⇮2367⊪)⨳⩥⨓(⊺⇮2263⨳⩥⨓⊺⇮3086)*(⨈⫕((⊺⇮3518≋⫹)⪒⊺⇮5217≭⊺⇮1239))=⊺⇮94852485","reverse_text":"⊺⇮94852485=(⊺⇮5454+⊺⇮2756)⋥≓≎(⊺⇮5856⨸⪁⊺⇮3819)⪄(⊺⇮2367⊪)⨳⩥⨓(⊺⇮2263⨳⩥⨓⊺⇮3086)*(⨈⫕((⊺⇮3518≋⫹)⪒⊺⇮5217≭⊺⇮1239))","cot":[{"info":"⊺⇮5454+⊺⇮2756=⊺⇮8210","layer":3},{"info":"⊺⇮5856⨸⪁⊺⇮3819=⊺⇮19350","layer":3},{"info":"⊺⇮8210⋥≓≎⊺⇮19350=⊺⇮30523","layer":2},{"info":"⊺⇮2367⊪=⊺⇮0","layer":3},{"info":"⊺⇮2263⨳⩥⨓⊺⇮3086=⊺⇮823","layer":3},{"info":"⊺⇮0⨳⩥⨓⊺⇮823=⊺⇮823","layer":2},{"info":"⊺⇮30523⪄⊺⇮823=⊺⇮-4516785","layer":1},{"info":"⊺⇮3518≋⫹=⊺⇮-7036","layer":3},{"info":"⊺⇮5217≭⊺⇮1239=NaN","layer":3},{"info":"⊺⇮-7036⪒NaN=NaN","layer":2},{"info":"⨈⫕NaN=⊺⇮-21","layer":1},{"info":"⊺⇮-4516785*⊺⇮-21=⊺⇮94852485","layer":0}]}
{"id":425,"expression_no_base_symbol":"(($2888$↬$8945$⩨(⋗⩬⋾$1052$))⊦⊿)∲⫓(⨈⫕($1298$⪒$1639$))⋳⪒($3038$↬$4851$⩨($3241$⇼⇔∾$6599$))","expression":"((⊺⇮2888↬⊺⇮8945⩨(⋗⩬⋾⊺⇮1052))⊦⊿)∲⫓(⨈⫕(⊺⇮1298⪒⊺⇮1639))⋳⪒(⊺⇮3038↬⊺⇮4851⩨(⊺⇮3241⇼⇔∾⊺⇮6599))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":419,"operation_count":11,"complexity_ratio":38.09090909090909,"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":2888,"base":10},"right_expr":{"type":"numeric_atoms","value":8945,"base":10}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1052,"base":10}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1298,"base":10},"right_expr":{"type":"numeric_atoms","value":1639,"base":10}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3038,"base":10},"right_expr":{"type":"numeric_atoms","value":4851,"base":10}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3241,"base":10},"right_expr":{"type":"numeric_atoms","value":6599,"base":10}}}}},"used_operators":["i8ToyICDmI","14qkJME0vr","2DlMacCsIx","B5M0gjZbta","DpFCA1CohY","12rbrZMWeM","megm06wKyl","f6k1SAg4EE","tifHPKVTfV"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2888","layer":4},{"info":"number node, value=8945","layer":4},{"info":"compute binary expreesion, left_input=2888, right_input=8945, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1052","layer":4},{"info":"compute unary expreesion, input=1052, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3156","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3156, 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 = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=nan","layer":1},{"info":"number node, value=1298","layer":4},{"info":"number node, value=1639","layer":4},{"info":"compute binary expreesion, left_input=1298, right_input=1639, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2937","layer":3},{"info":"compute unary expreesion, input=-2937, 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=3038","layer":4},{"info":"number node, value=4851","layer":4},{"info":"compute binary expreesion, left_input=3038, right_input=4851, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=3241","layer":4},{"info":"number node, value=6599","layer":4},{"info":"compute binary expreesion, left_input=3241, right_input=6599, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=3358","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3358, 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=-21, 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 = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮2888↬⊺⇮8945⩨(⋗⩬⋾⊺⇮1052))⊦⊿)∲⫓(⨈⫕(⊺⇮1298⪒⊺⇮1639))⋳⪒(⊺⇮3038↬⊺⇮4851⩨(⊺⇮3241⇼⇔∾⊺⇮6599))=NaN","reverse_text":"NaN=((⊺⇮2888↬⊺⇮8945⩨(⋗⩬⋾⊺⇮1052))⊦⊿)∲⫓(⨈⫕(⊺⇮1298⪒⊺⇮1639))⋳⪒(⊺⇮3038↬⊺⇮4851⩨(⊺⇮3241⇼⇔∾⊺⇮6599))","cot":[{"info":"⊺⇮2888↬⊺⇮8945=NaN","layer":3},{"info":"⋗⩬⋾⊺⇮1052=⊺⇮-3156","layer":3},{"info":"NaN⩨⊺⇮-3156=NaN","layer":2},{"info":"NaN⊦⊿=NaN","layer":1},{"info":"⊺⇮1298⪒⊺⇮1639=⊺⇮-2937","layer":3},{"info":"⨈⫕⊺⇮-2937=⊺⇮-21","layer":2},{"info":"⊺⇮3038↬⊺⇮4851=NaN","layer":3},{"info":"⊺⇮3241⇼⇔∾⊺⇮6599=⊺⇮3358","layer":3},{"info":"NaN⩨⊺⇮3358=NaN","layer":2},{"info":"⊺⇮-21⋳⪒NaN=NaN","layer":1},{"info":"NaN∲⫓NaN=NaN","layer":0}]}
{"id":426,"expression_no_base_symbol":"(⨑⩽⪐($1096$↺$3905$)⋳⪒($5465$⫡⨏$5438$))⩷∴((⊥$1082$)∀⇚≩($3900$+⇶⊼$3591$)⋫)","expression":"(⨑⩽⪐(⊺⇮1096↺⊺⇮3905)⋳⪒(⊺⇮5465⫡⨏⊺⇮5438))⩷∴((⊥⊺⇮1082)∀⇚≩(⊺⇮3900+⇶⊼⊺⇮3591)⋫)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":33,"operation_count":9,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1096,"base":10},"right_expr":{"type":"numeric_atoms","value":3905,"base":10}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":5465,"base":10},"right_expr":{"type":"numeric_atoms","value":5438,"base":10}}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1082,"base":10}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3900,"base":10},"right_expr":{"type":"numeric_atoms","value":3591,"base":10}}}}},"used_operators":["9FxExcQeMw","AF7qkfDlqP","12rbrZMWeM","7j4O788W3g","QMFrweE19q","JL8yIekQnl","LRNGc0VcxI","Q3PJZHRvZv","TpPTUOHfaN"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","X99M06cbEe","fu6greOZ01","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1096","layer":4},{"info":"number node, value=3905","layer":4},{"info":"compute binary expreesion, left_input=1096, right_input=3905, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3905","layer":3},{"info":"number node, value=5465","layer":4},{"info":"number node, value=5438","layer":4},{"info":"compute binary expreesion, left_input=5465, right_input=5438, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=38984","layer":3},{"info":"compute binary expreesion, left_input=3905, right_input=38984, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-31461","layer":2},{"info":"compute unary expreesion, input=-31461, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=63711","layer":1},{"info":"number node, value=1082","layer":4},{"info":"compute unary expreesion, input=1082, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=3900","layer":4},{"info":"number node, value=3591","layer":4},{"info":"compute binary expreesion, left_input=3900, right_input=3591, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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 = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=63711, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⨑⩽⪐(⊺⇮1096↺⊺⇮3905)⋳⪒(⊺⇮5465⫡⨏⊺⇮5438))⩷∴((⊥⊺⇮1082)∀⇚≩(⊺⇮3900+⇶⊼⊺⇮3591)⋫)=NaN","reverse_text":"NaN=(⨑⩽⪐(⊺⇮1096↺⊺⇮3905)⋳⪒(⊺⇮5465⫡⨏⊺⇮5438))⩷∴((⊥⊺⇮1082)∀⇚≩(⊺⇮3900+⇶⊼⊺⇮3591)⋫)","cot":[{"info":"⊺⇮1096↺⊺⇮3905=⊺⇮3905","layer":3},{"info":"⊺⇮5465⫡⨏⊺⇮5438=⊺⇮38984","layer":3},{"info":"⊺⇮3905⋳⪒⊺⇮38984=⊺⇮-31461","layer":2},{"info":"⨑⩽⪐⊺⇮-31461=⊺⇮63711","layer":1},{"info":"⊥⊺⇮1082=NaN","layer":3},{"info":"⊺⇮3900+⇶⊼⊺⇮3591=NaN","layer":3},{"info":"NaN∀⇚≩NaN=NaN","layer":2},{"info":"NaN⋫=NaN","layer":1},{"info":"⊺⇮63711⩷∴NaN=NaN","layer":0}]}
{"id":427,"expression_no_base_symbol":"(($3642$⪘⫢$4230$≎⊠⪸$4047$⪮%⊝$1295$)⊪)⊦⊿","expression":"((⊺⇮3642⪘⫢⊺⇮4230≎⊠⪸⊺⇮4047⪮%⊝⊺⇮1295)⊪)⊦⊿","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":333,"operation_count":5,"complexity_ratio":66.6,"tree":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3642,"base":10},"right_expr":{"type":"numeric_atoms","value":4230,"base":10}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4047,"base":10},"right_expr":{"type":"numeric_atoms","value":1295,"base":10}}}}},"used_operators":["14qkJME0vr","zVYPLywUTj","bJkvcejdHO","oacrs7FA3X","IWmyXbctLI"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⊺⇮-79","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3642","layer":4},{"info":"number node, value=4230","layer":4},{"info":"compute binary expreesion, left_input=3642, right_input=4230, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=7160","layer":3},{"info":"number node, value=4047","layer":4},{"info":"number node, value=1295","layer":4},{"info":"compute binary expreesion, left_input=4047, right_input=1295, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=8410","layer":3},{"info":"compute binary expreesion, left_input=7160, right_input=8410, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1853967","layer":2},{"info":"compute unary expreesion, input=1853967, 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 = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-79","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮3642⪘⫢⊺⇮4230≎⊠⪸⊺⇮4047⪮%⊝⊺⇮1295)⊪)⊦⊿=⊺⇮-79","reverse_text":"⊺⇮-79=((⊺⇮3642⪘⫢⊺⇮4230≎⊠⪸⊺⇮4047⪮%⊝⊺⇮1295)⊪)⊦⊿","cot":[{"info":"⊺⇮3642⪘⫢⊺⇮4230=⊺⇮7160","layer":3},{"info":"⊺⇮4047⪮%⊝⊺⇮1295=⊺⇮8410","layer":3},{"info":"⊺⇮7160≎⊠⪸⊺⇮8410=⊺⇮1853967","layer":2},{"info":"⊺⇮1853967⊪=⊺⇮0","layer":1},{"info":"⊺⇮0⊦⊿=⊺⇮-79","layer":0}]}
{"id":428,"expression_no_base_symbol":"(⊄⩳↩(⨰⫟⨤($3201$/$4297$)))⨵⪆(-$3079$-$3342$)⊴((⇁⨣⪵$4804$)⨪↰⇹($5547$⩷∴$3763$))","expression":"(⊄⩳↩(⨰⫟⨤(⊺⇮3201/⊺⇮4297)))⨵⪆(-⊺⇮3079-⊺⇮3342)⊴((⇁⨣⪵⊺⇮4804)⨪↰⇹(⊺⇮5547⩷∴⊺⇮3763))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":916,"operation_count":10,"complexity_ratio":91.6,"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":3201,"base":10},"right_expr":{"type":"numeric_atoms","value":4297,"base":10}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3079,"base":10},"right_expr":{"type":"numeric_atoms","value":3342,"base":10}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":4804,"base":10}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":5547,"base":10},"right_expr":{"type":"numeric_atoms","value":3763,"base":10}}}}},"used_operators":["2DQ55sFlQl","8w2t5hMYqp","Tw270M8GLb","XhwjNDsVaA","Nsiff2A1zJ","t8gj7n24qd","rysDP5nf3Z","tmPS8pqC7x","inkyxCbjAn","9FxExcQeMw"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","rJVOvQCfKK","B5M0gjZbta","rysDP5nf3Z"],"result":"⊺⇮160","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3201","layer":4},{"info":"number node, value=4297","layer":4},{"info":"compute binary expreesion, left_input=3201, right_input=4297, 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 unary expreesion, input=4492662, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-13477986","layer":1},{"info":"number node, value=3079","layer":4},{"info":"number node, value=3342","layer":4},{"info":"compute binary expreesion, left_input=3079, right_input=3342, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-263","layer":3},{"info":"compute unary expreesion, input=-263, op_id = t8gj7n24qd, unary_op_definition = 'None', output=263","layer":2},{"info":"number node, value=4804","layer":4},{"info":"compute unary expreesion, input=4804, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=5547","layer":4},{"info":"number node, value=3763","layer":4},{"info":"compute binary expreesion, left_input=5547, right_input=3763, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=3536","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3536, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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=263, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-13477986, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":10,"result_base":10,"text":"(⊄⩳↩(⨰⫟⨤(⊺⇮3201/⊺⇮4297)))⨵⪆(-⊺⇮3079-⊺⇮3342)⊴((⇁⨣⪵⊺⇮4804)⨪↰⇹(⊺⇮5547⩷∴⊺⇮3763))=⊺⇮160","reverse_text":"⊺⇮160=(⊄⩳↩(⨰⫟⨤(⊺⇮3201/⊺⇮4297)))⨵⪆(-⊺⇮3079-⊺⇮3342)⊴((⇁⨣⪵⊺⇮4804)⨪↰⇹(⊺⇮5547⩷∴⊺⇮3763))","cot":[{"info":"⊺⇮3201/⊺⇮4297=⊺⇮0","layer":3},{"info":"⨰⫟⨤⊺⇮0=⊺⇮4492662","layer":2},{"info":"⊄⩳↩⊺⇮4492662=⊺⇮-13477986","layer":1},{"info":"⊺⇮3079-⊺⇮3342=⊺⇮-263","layer":3},{"info":"-⊺⇮-263=⊺⇮263","layer":2},{"info":"⇁⨣⪵⊺⇮4804=NaN","layer":3},{"info":"⊺⇮5547⩷∴⊺⇮3763=⊺⇮3536","layer":3},{"info":"NaN⨪↰⇹⊺⇮3536=NaN","layer":2},{"info":"⊺⇮263⊴NaN=NaN","layer":1},{"info":"⊺⇮-13477986⨵⪆NaN=⊺⇮160","layer":0}]}
{"id":429,"expression_no_base_symbol":"(($1249$/$1161$)⋳⪒($1000$⋳⪒$1305$)⇼⇔∾($4257$⪨≂$4967$)+⇶⊼$5658$⊴$6333$)⨁⊸⫻","expression":"((⊺⇮1249/⊺⇮1161)⋳⪒(⊺⇮1000⋳⪒⊺⇮1305)⇼⇔∾(⊺⇮4257⪨≂⊺⇮4967)+⇶⊼⊺⇮5658⊴⊺⇮6333)⨁⊸⫻","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":6363,"operation_count":8,"complexity_ratio":795.375,"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":1249,"base":10},"right_expr":{"type":"numeric_atoms","value":1161,"base":10}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1000,"base":10},"right_expr":{"type":"numeric_atoms","value":1305,"base":10}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4257,"base":10},"right_expr":{"type":"numeric_atoms","value":4967,"base":10}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":5658,"base":10},"right_expr":{"type":"numeric_atoms","value":6333,"base":10}}}}},"used_operators":["glklzrTFfD","tifHPKVTfV","12rbrZMWeM","XhwjNDsVaA","TpPTUOHfaN","sdazOOVcIp","Nsiff2A1zJ"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1249","layer":4},{"info":"number node, value=1161","layer":4},{"info":"compute binary expreesion, left_input=1249, right_input=1161, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"number node, value=1000","layer":4},{"info":"number node, value=1305","layer":4},{"info":"compute binary expreesion, left_input=1000, right_input=1305, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=408","layer":3},{"info":"compute binary expreesion, left_input=1, right_input=408, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-693","layer":2},{"info":"number node, value=4257","layer":4},{"info":"number node, value=4967","layer":4},{"info":"compute binary expreesion, left_input=4257, right_input=4967, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-1318","layer":3},{"info":"number node, value=5658","layer":4},{"info":"number node, value=6333","layer":4},{"info":"compute binary expreesion, left_input=5658, right_input=6333, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1318, 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=-693, 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 = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1249/⊺⇮1161)⋳⪒(⊺⇮1000⋳⪒⊺⇮1305)⇼⇔∾(⊺⇮4257⪨≂⊺⇮4967)+⇶⊼⊺⇮5658⊴⊺⇮6333)⨁⊸⫻=NaN","reverse_text":"NaN=((⊺⇮1249/⊺⇮1161)⋳⪒(⊺⇮1000⋳⪒⊺⇮1305)⇼⇔∾(⊺⇮4257⪨≂⊺⇮4967)+⇶⊼⊺⇮5658⊴⊺⇮6333)⨁⊸⫻","cot":[{"info":"⊺⇮1249/⊺⇮1161=⊺⇮1","layer":3},{"info":"⊺⇮1000⋳⪒⊺⇮1305=⊺⇮408","layer":3},{"info":"⊺⇮1⋳⪒⊺⇮408=⊺⇮-693","layer":2},{"info":"⊺⇮4257⪨≂⊺⇮4967=⊺⇮-1318","layer":3},{"info":"⊺⇮5658⊴⊺⇮6333=NaN","layer":3},{"info":"⊺⇮-1318+⇶⊼NaN=NaN","layer":2},{"info":"⊺⇮-693⇼⇔∾NaN=NaN","layer":1},{"info":"NaN⨁⊸⫻=NaN","layer":0}]}
{"id":430,"expression_no_base_symbol":"(⊄⩳↩($1529$⨓$1017$))⋝⋈⪟($2790$⫡⨏$6894$)↬$4508$⊴$3915$-(⩦⩻⨪(⫛⫱⨽$1927$))⋳⪒((∥⊫$6124$)∧)","expression":"(⊄⩳↩(⊺⇮1529⨓⊺⇮1017))⋝⋈⪟(⊺⇮2790⫡⨏⊺⇮6894)↬⊺⇮4508⊴⊺⇮3915-(⩦⩻⨪(⫛⫱⨽⊺⇮1927))⋳⪒((∥⊫⊺⇮6124)∧)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":6597,"operation_count":12,"complexity_ratio":549.75,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1529,"base":10},"right_expr":{"type":"numeric_atoms","value":1017,"base":10}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2790,"base":10},"right_expr":{"type":"numeric_atoms","value":6894,"base":10}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4508,"base":10},"right_expr":{"type":"numeric_atoms","value":3915,"base":10}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1927,"base":10}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":6124,"base":10}}}}},"used_operators":["rysDP5nf3Z","2DDjHMKMc0","8w2t5hMYqp","3ViojmjbAp","B5M0gjZbta","QMFrweE19q","Nsiff2A1zJ","12rbrZMWeM","2td37pGCOC","DlLNRPXxWL","z63VuFQld9","P8v4zCKN1o"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1529","layer":4},{"info":"number node, value=1017","layer":4},{"info":"compute binary expreesion, left_input=1529, right_input=1017, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1020","layer":3},{"info":"compute unary expreesion, input=-1020, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=3060","layer":2},{"info":"number node, value=2790","layer":4},{"info":"number node, value=6894","layer":4},{"info":"compute binary expreesion, left_input=2790, right_input=6894, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=28521","layer":3},{"info":"number node, value=4508","layer":4},{"info":"number node, value=3915","layer":4},{"info":"compute binary expreesion, left_input=4508, right_input=3915, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=28521, 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=3060, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=1927","layer":4},{"info":"compute unary expreesion, input=1927, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', 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=6124","layer":4},{"info":"compute unary expreesion, input=6124, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=6992","layer":3},{"info":"compute unary expreesion, input=6992, 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 = 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 = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊄⩳↩(⊺⇮1529⨓⊺⇮1017))⋝⋈⪟(⊺⇮2790⫡⨏⊺⇮6894)↬⊺⇮4508⊴⊺⇮3915-(⩦⩻⨪(⫛⫱⨽⊺⇮1927))⋳⪒((∥⊫⊺⇮6124)∧)=NaN","reverse_text":"NaN=(⊄⩳↩(⊺⇮1529⨓⊺⇮1017))⋝⋈⪟(⊺⇮2790⫡⨏⊺⇮6894)↬⊺⇮4508⊴⊺⇮3915-(⩦⩻⨪(⫛⫱⨽⊺⇮1927))⋳⪒((∥⊫⊺⇮6124)∧)","cot":[{"info":"⊺⇮1529⨓⊺⇮1017=⊺⇮-1020","layer":3},{"info":"⊄⩳↩⊺⇮-1020=⊺⇮3060","layer":2},{"info":"⊺⇮2790⫡⨏⊺⇮6894=⊺⇮28521","layer":3},{"info":"⊺⇮4508⊴⊺⇮3915=NaN","layer":3},{"info":"⊺⇮28521↬NaN=NaN","layer":2},{"info":"⊺⇮3060⋝⋈⪟NaN=NaN","layer":1},{"info":"⫛⫱⨽⊺⇮1927=⊺⇮0","layer":3},{"info":"⩦⩻⨪⊺⇮0=⊺⇮0","layer":2},{"info":"∥⊫⊺⇮6124=⊺⇮6992","layer":3},{"info":"⊺⇮6992∧=NaN","layer":2},{"info":"⊺⇮0⋳⪒NaN=NaN","layer":1},{"info":"NaN-NaN=NaN","layer":0}]}
{"id":431,"expression_no_base_symbol":"(⨑⩽⪐$4891$)⨰($8256$↺$3439$)⨵⪆($2826$≣⋋)⫥∨⫟($6647$⪄$2274$)+(≦∁(⨈⫕$1453$))⩷∴((⩦⩻⨪$2707$)⊉≛↸(⊙↵-$3577$))","expression":"(⨑⩽⪐⊺⇮4891)⨰(⊺⇮8256↺⊺⇮3439)⨵⪆(⊺⇮2826≣⋋)⫥∨⫟(⊺⇮6647⪄⊺⇮2274)+(≦∁(⨈⫕⊺⇮1453))⩷∴((⩦⩻⨪⊺⇮2707)⊉≛↸(⊙↵-⊺⇮3577))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4824,"operation_count":14,"complexity_ratio":344.57142857142856,"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":4891,"base":10}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":8256,"base":10},"right_expr":{"type":"numeric_atoms","value":3439,"base":10}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":2826,"base":10}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":6647,"base":10},"right_expr":{"type":"numeric_atoms","value":2274,"base":10}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1453,"base":10}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2707,"base":10}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":3577,"base":10}}}}},"used_operators":["W4YGzv6Whe","2DQ55sFlQl","eewbuw0ToL","AF7qkfDlqP","7j4O788W3g","KYD54nUTWz","Tcnh7f0tEr","SUmda5xLS4","9FxExcQeMw","9ICcGScMcE","megm06wKyl","DZ8iAZOCBD","2td37pGCOC","oWn0xqSxBt"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"⊺⇮-10840","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4891","layer":4},{"info":"compute unary expreesion, input=4891, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-4618","layer":3},{"info":"number node, value=8256","layer":4},{"info":"number node, value=3439","layer":4},{"info":"compute binary expreesion, left_input=8256, right_input=3439, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3439","layer":3},{"info":"compute binary expreesion, left_input=-4618, right_input=3439, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-8047","layer":2},{"info":"number node, value=2826","layer":4},{"info":"compute unary expreesion, input=2826, 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=6647","layer":4},{"info":"number node, value=2274","layer":4},{"info":"compute binary expreesion, left_input=6647, right_input=2274, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-988941","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-988941, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-8047, 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=1453","layer":4},{"info":"compute unary expreesion, input=1453, 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 = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-70","layer":2},{"info":"number node, value=2707","layer":4},{"info":"compute unary expreesion, input=2707, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2707","layer":3},{"info":"number node, value=3577","layer":4},{"info":"compute unary expreesion, input=3577, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=2707, right_input=-1, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5414","layer":2},{"info":"compute binary expreesion, left_input=-70, right_input=5414, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-11000","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-11000, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-10840","layer":0}],"base":10,"result_base":10,"text":"(⨑⩽⪐⊺⇮4891)⨰(⊺⇮8256↺⊺⇮3439)⨵⪆(⊺⇮2826≣⋋)⫥∨⫟(⊺⇮6647⪄⊺⇮2274)+(≦∁(⨈⫕⊺⇮1453))⩷∴((⩦⩻⨪⊺⇮2707)⊉≛↸(⊙↵-⊺⇮3577))=⊺⇮-10840","reverse_text":"⊺⇮-10840=(⨑⩽⪐⊺⇮4891)⨰(⊺⇮8256↺⊺⇮3439)⨵⪆(⊺⇮2826≣⋋)⫥∨⫟(⊺⇮6647⪄⊺⇮2274)+(≦∁(⨈⫕⊺⇮1453))⩷∴((⩦⩻⨪⊺⇮2707)⊉≛↸(⊙↵-⊺⇮3577))","cot":[{"info":"⨑⩽⪐⊺⇮4891=⊺⇮-4618","layer":3},{"info":"⊺⇮8256↺⊺⇮3439=⊺⇮3439","layer":3},{"info":"⊺⇮-4618⨰⊺⇮3439=⊺⇮-8047","layer":2},{"info":"⊺⇮2826≣⋋=⊺⇮0","layer":3},{"info":"⊺⇮6647⪄⊺⇮2274=⊺⇮-988941","layer":3},{"info":"⊺⇮0⫥∨⫟⊺⇮-988941=NaN","layer":2},{"info":"⊺⇮-8047⨵⪆NaN=⊺⇮160","layer":1},{"info":"⨈⫕⊺⇮1453=⊺⇮-21","layer":3},{"info":"≦∁⊺⇮-21=⊺⇮-70","layer":2},{"info":"⩦⩻⨪⊺⇮2707=⊺⇮2707","layer":3},{"info":"⊙↵-⊺⇮3577=⊺⇮-1","layer":3},{"info":"⊺⇮2707⊉≛↸⊺⇮-1=⊺⇮5414","layer":2},{"info":"⊺⇮-70⩷∴⊺⇮5414=⊺⇮-11000","layer":1},{"info":"⊺⇮160+⊺⇮-11000=⊺⇮-10840","layer":0}]}
{"id":432,"expression_no_base_symbol":"($2668$⨳⩥⨓$3252$)≹⇙⪍(≉$3079$)⋓($1506$⨓$2152$%($2418$⫡⨏$1373$))≭(($4617$⨵⪆$1404$)⋥≓≎$7005$⋓$3502$⨳⩥⨓$5132$∼$7746$⇷(≤/$3745$))","expression":"(⊺⇮2668⨳⩥⨓⊺⇮3252)≹⇙⪍(≉⊺⇮3079)⋓(⊺⇮1506⨓⊺⇮2152%(⊺⇮2418⫡⨏⊺⇮1373))≭((⊺⇮4617⨵⪆⊺⇮1404)⋥≓≎⊺⇮7005⋓⊺⇮3502⨳⩥⨓⊺⇮5132∼⊺⇮7746⇷(≤/⊺⇮3745))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2319,"operation_count":15,"complexity_ratio":154.6,"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":2668,"base":10},"right_expr":{"type":"numeric_atoms","value":3252,"base":10}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":3079,"base":10}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1506,"base":10},"right_expr":{"type":"numeric_atoms","value":2152,"base":10}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2418,"base":10},"right_expr":{"type":"numeric_atoms","value":1373,"base":10}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":4617,"base":10},"right_expr":{"type":"numeric_atoms","value":1404,"base":10}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":7005,"base":10},"right_expr":{"type":"numeric_atoms","value":3502,"base":10}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5132,"base":10},"right_expr":{"type":"numeric_atoms","value":7746,"base":10}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":3745,"base":10}}}}},"used_operators":["rxpJgHHUmx","T2fj7uvVaJ","AHs5Up7iyr","nCS4ZIUYfx","e1ybzncUwg","k8jYdgA6NY","3ViojmjbAp","QMFrweE19q","Qy55tPpLXF","2DQ55sFlQl","mp7IySMOzn","DyGG3AbaNP","eLAdDNolq6"],"dependent_operators":["AHs5Up7iyr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2668","layer":4},{"info":"number node, value=3252","layer":4},{"info":"compute binary expreesion, left_input=2668, right_input=3252, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=584","layer":3},{"info":"number node, value=3079","layer":4},{"info":"compute unary expreesion, input=3079, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3610","layer":3},{"info":"compute binary expreesion, left_input=584, right_input=3610, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=1506","layer":4},{"info":"number node, value=2152","layer":4},{"info":"compute binary expreesion, left_input=1506, right_input=2152, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2155","layer":3},{"info":"number node, value=2418","layer":4},{"info":"number node, value=1373","layer":4},{"info":"compute binary expreesion, left_input=2418, right_input=1373, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=15619","layer":3},{"info":"compute binary expreesion, left_input=-2155, right_input=15619, op_id = k8jYdgA6NY binary_op_definition= 'None', output=13464","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=13464, op_id = T2fj7uvVaJ binary_op_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=4617","layer":4},{"info":"number node, value=1404","layer":4},{"info":"compute binary expreesion, left_input=4617, right_input=1404, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=7005","layer":4},{"info":"number node, value=3502","layer":4},{"info":"compute binary expreesion, left_input=7005, right_input=3502, op_id = T2fj7uvVaJ binary_op_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 = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-127","layer":2},{"info":"number node, value=5132","layer":4},{"info":"number node, value=7746","layer":4},{"info":"compute binary expreesion, left_input=5132, right_input=7746, 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=3745","layer":4},{"info":"compute unary expreesion, input=3745, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-3261","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3261, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-127, 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=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":10,"result_base":10,"text":"(⊺⇮2668⨳⩥⨓⊺⇮3252)≹⇙⪍(≉⊺⇮3079)⋓(⊺⇮1506⨓⊺⇮2152%(⊺⇮2418⫡⨏⊺⇮1373))≭((⊺⇮4617⨵⪆⊺⇮1404)⋥≓≎⊺⇮7005⋓⊺⇮3502⨳⩥⨓⊺⇮5132∼⊺⇮7746⇷(≤/⊺⇮3745))=NaN","reverse_text":"NaN=(⊺⇮2668⨳⩥⨓⊺⇮3252)≹⇙⪍(≉⊺⇮3079)⋓(⊺⇮1506⨓⊺⇮2152%(⊺⇮2418⫡⨏⊺⇮1373))≭((⊺⇮4617⨵⪆⊺⇮1404)⋥≓≎⊺⇮7005⋓⊺⇮3502⨳⩥⨓⊺⇮5132∼⊺⇮7746⇷(≤/⊺⇮3745))","cot":[{"info":"⊺⇮2668⨳⩥⨓⊺⇮3252=⊺⇮584","layer":3},{"info":"≉⊺⇮3079=⊺⇮3610","layer":3},{"info":"⊺⇮584≹⇙⪍⊺⇮3610=NaN","layer":2},{"info":"⊺⇮1506⨓⊺⇮2152=⊺⇮-2155","layer":3},{"info":"⊺⇮2418⫡⨏⊺⇮1373=⊺⇮15619","layer":3},{"info":"⊺⇮-2155%⊺⇮15619=⊺⇮13464","layer":2},{"info":"NaN⋓⊺⇮13464=⊺⇮0","layer":1},{"info":"⊺⇮4617⨵⪆⊺⇮1404=⊺⇮160","layer":3},{"info":"⊺⇮7005⋓⊺⇮3502=⊺⇮0","layer":3},{"info":"⊺⇮160⋥≓≎⊺⇮0=⊺⇮-127","layer":2},{"info":"⊺⇮5132∼⊺⇮7746=NaN","layer":3},{"info":"≤/⊺⇮3745=⊺⇮-3261","layer":3},{"info":"NaN⇷⊺⇮-3261=NaN","layer":2},{"info":"⊺⇮-127⨳⩥⨓NaN=NaN","layer":1},{"info":"⊺⇮0≭NaN=NaN","layer":0}]}
{"id":433,"expression_no_base_symbol":"((∂($2979$≧⫂∧$1797$))↪⪝)+((∂(∂$4935$))⋷($5228$⫸⊐$7758$)⊴($5260$⋳⪒$6953$))","expression":"((∂(⊺⇮2979≧⫂∧⊺⇮1797))↪⪝)+((∂(∂⊺⇮4935))⋷(⊺⇮5228⫸⊐⊺⇮7758)⊴(⊺⇮5260⋳⪒⊺⇮6953))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":36122,"operation_count":10,"complexity_ratio":3612.2,"tree":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2979,"base":10},"right_expr":{"type":"numeric_atoms","value":1797,"base":10}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":4935,"base":10}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":5228,"base":10},"right_expr":{"type":"numeric_atoms","value":7758,"base":10}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":5260,"base":10},"right_expr":{"type":"numeric_atoms","value":6953,"base":10}}}}},"used_operators":["W4YGzv6Whe","l07mrZUIn9","Uaa54Peajs","Ph9nP6C5qx","23Mk6UjR3U","Nsiff2A1zJ","mqXw5SEYmG","12rbrZMWeM"],"dependent_operators":["9HNa5Wba9A","2DDjHMKMc0","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2979","layer":4},{"info":"number node, value=1797","layer":4},{"info":"compute binary expreesion, left_input=2979, right_input=1797, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1324","layer":3},{"info":"compute unary expreesion, input=1324, 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 = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=nan","layer":1},{"info":"number node, value=4935","layer":4},{"info":"compute unary expreesion, input=4935, 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 = 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=5228","layer":4},{"info":"number node, value=7758","layer":4},{"info":"compute binary expreesion, left_input=5228, right_input=7758, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=30907","layer":3},{"info":"number node, value=5260","layer":4},{"info":"number node, value=6953","layer":4},{"info":"compute binary expreesion, left_input=5260, right_input=6953, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3280","layer":3},{"info":"compute binary expreesion, left_input=30907, right_input=3280, 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 = 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 = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":10,"result_base":10,"text":"((∂(⊺⇮2979≧⫂∧⊺⇮1797))↪⪝)+((∂(∂⊺⇮4935))⋷(⊺⇮5228⫸⊐⊺⇮7758)⊴(⊺⇮5260⋳⪒⊺⇮6953))=NaN","reverse_text":"NaN=((∂(⊺⇮2979≧⫂∧⊺⇮1797))↪⪝)+((∂(∂⊺⇮4935))⋷(⊺⇮5228⫸⊐⊺⇮7758)⊴(⊺⇮5260⋳⪒⊺⇮6953))","cot":[{"info":"⊺⇮2979≧⫂∧⊺⇮1797=⊺⇮1324","layer":3},{"info":"∂⊺⇮1324=NaN","layer":2},{"info":"NaN↪⪝=NaN","layer":1},{"info":"∂⊺⇮4935=NaN","layer":3},{"info":"∂NaN=NaN","layer":2},{"info":"⊺⇮5228⫸⊐⊺⇮7758=⊺⇮30907","layer":3},{"info":"⊺⇮5260⋳⪒⊺⇮6953=⊺⇮3280","layer":3},{"info":"⊺⇮30907⊴⊺⇮3280=NaN","layer":2},{"info":"NaN⋷NaN=NaN","layer":1},{"info":"NaN+NaN=NaN","layer":0}]}
{"id":434,"expression_no_base_symbol":"(↣≠⋷($1563$⋷$2643$))∀⇚≩($3513$⪘⫢$3078$)⨪↰⇹(≉$1101$)+⇶⊼(⪝⪂⫅($4563$≹⇙⪍$4849$∑⇟⊟($1106$⪄$3151$)))","expression":"(↣≠⋷(⊺⇮1563⋷⊺⇮2643))∀⇚≩(⊺⇮3513⪘⫢⊺⇮3078)⨪↰⇹(≉⊺⇮1101)+⇶⊼(⪝⪂⫅(⊺⇮4563≹⇙⪍⊺⇮4849∑⇟⊟(⊺⇮1106⪄⊺⇮3151)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7028,"operation_count":11,"complexity_ratio":638.9090909090909,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1563,"base":10},"right_expr":{"type":"numeric_atoms","value":2643,"base":10}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3513,"base":10},"right_expr":{"type":"numeric_atoms","value":3078,"base":10}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1101,"base":10}}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":4563,"base":10},"right_expr":{"type":"numeric_atoms","value":4849,"base":10}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1106,"base":10},"right_expr":{"type":"numeric_atoms","value":3151,"base":10}}}}},"used_operators":["TpPTUOHfaN","LRNGc0VcxI","Asc51vEJeQ","23Mk6UjR3U","tmPS8pqC7x","oacrs7FA3X","e1ybzncUwg","XTarYq4gQB","U7g4x0WXJJ","AHs5Up7iyr","SUmda5xLS4"],"dependent_operators":["AHs5Up7iyr","X99M06cbEe","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","dWAJyo7jo9","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1563","layer":4},{"info":"number node, value=2643","layer":4},{"info":"compute binary expreesion, left_input=1563, right_input=2643, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3723","layer":3},{"info":"compute unary expreesion, input=3723, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=3513","layer":4},{"info":"number node, value=3078","layer":4},{"info":"compute binary expreesion, left_input=3513, right_input=3078, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6902","layer":3},{"info":"number node, value=1101","layer":4},{"info":"compute unary expreesion, input=1101, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1632","layer":3},{"info":"compute binary expreesion, left_input=6902, right_input=1632, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=6902","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=6902, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=4563","layer":4},{"info":"number node, value=4849","layer":4},{"info":"compute binary expreesion, left_input=4563, right_input=4849, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=1106","layer":4},{"info":"number node, value=3151","layer":4},{"info":"compute binary expreesion, left_input=1106, right_input=3151, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-172381","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-172381, 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=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":10,"result_base":10,"text":"(↣≠⋷(⊺⇮1563⋷⊺⇮2643))∀⇚≩(⊺⇮3513⪘⫢⊺⇮3078)⨪↰⇹(≉⊺⇮1101)+⇶⊼(⪝⪂⫅(⊺⇮4563≹⇙⪍⊺⇮4849∑⇟⊟(⊺⇮1106⪄⊺⇮3151)))=NaN","reverse_text":"NaN=(↣≠⋷(⊺⇮1563⋷⊺⇮2643))∀⇚≩(⊺⇮3513⪘⫢⊺⇮3078)⨪↰⇹(≉⊺⇮1101)+⇶⊼(⪝⪂⫅(⊺⇮4563≹⇙⪍⊺⇮4849∑⇟⊟(⊺⇮1106⪄⊺⇮3151)))","cot":[{"info":"⊺⇮1563⋷⊺⇮2643=⊺⇮3723","layer":3},{"info":"↣≠⋷⊺⇮3723=NaN","layer":2},{"info":"⊺⇮3513⪘⫢⊺⇮3078=⊺⇮6902","layer":3},{"info":"≉⊺⇮1101=⊺⇮1632","layer":3},{"info":"⊺⇮6902⨪↰⇹⊺⇮1632=⊺⇮6902","layer":2},{"info":"NaN∀⇚≩⊺⇮6902=NaN","layer":1},{"info":"⊺⇮4563≹⇙⪍⊺⇮4849=NaN","layer":3},{"info":"⊺⇮1106⪄⊺⇮3151=⊺⇮-172381","layer":3},{"info":"NaN∑⇟⊟⊺⇮-172381=NaN","layer":2},{"info":"⪝⪂⫅NaN=NaN","layer":1},{"info":"NaN+⇶⊼NaN=NaN","layer":0}]}
{"id":435,"expression_no_base_symbol":"($6789$∼$2288$↙($3544$∲⫓$2846$))⋳⪒((⋗⩬⋾$1273$)⋥≓≎($5883$⨵⪆$1957$))⪠⩆⊳","expression":"(⊺⇮6789∼⊺⇮2288↙(⊺⇮3544∲⫓⊺⇮2846))⋳⪒((⋗⩬⋾⊺⇮1273)⋥≓≎(⊺⇮5883⨵⪆⊺⇮1957))⪠⩆⊳","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":157,"operation_count":8,"complexity_ratio":19.625,"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":6789,"base":10},"right_expr":{"type":"numeric_atoms","value":2288,"base":10}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3544,"base":10},"right_expr":{"type":"numeric_atoms","value":2846,"base":10}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1273,"base":10}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":5883,"base":10},"right_expr":{"type":"numeric_atoms","value":1957,"base":10}}}}},"used_operators":["JLbD19bQDL","12rbrZMWeM","yyfyN0ffXY","DyGG3AbaNP","i8ToyICDmI","Qy55tPpLXF","DpFCA1CohY","2DQ55sFlQl"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6789","layer":4},{"info":"number node, value=2288","layer":4},{"info":"compute binary expreesion, left_input=6789, right_input=2288, 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=3544","layer":4},{"info":"number node, value=2846","layer":4},{"info":"compute binary expreesion, left_input=3544, right_input=2846, 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 = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":2},{"info":"number node, value=1273","layer":4},{"info":"compute unary expreesion, input=1273, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3819","layer":3},{"info":"number node, value=5883","layer":4},{"info":"number node, value=1957","layer":4},{"info":"compute binary expreesion, left_input=5883, right_input=1957, 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=-3819, right_input=160, 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 = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 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":10,"result_base":10,"text":"(⊺⇮6789∼⊺⇮2288↙(⊺⇮3544∲⫓⊺⇮2846))⋳⪒((⋗⩬⋾⊺⇮1273)⋥≓≎(⊺⇮5883⨵⪆⊺⇮1957))⪠⩆⊳=NaN","reverse_text":"NaN=(⊺⇮6789∼⊺⇮2288↙(⊺⇮3544∲⫓⊺⇮2846))⋳⪒((⋗⩬⋾⊺⇮1273)⋥≓≎(⊺⇮5883⨵⪆⊺⇮1957))⪠⩆⊳","cot":[{"info":"⊺⇮6789∼⊺⇮2288=NaN","layer":3},{"info":"⊺⇮3544∲⫓⊺⇮2846=⊺⇮0","layer":3},{"info":"NaN↙⊺⇮0=NaN","layer":2},{"info":"⋗⩬⋾⊺⇮1273=⊺⇮-3819","layer":3},{"info":"⊺⇮5883⨵⪆⊺⇮1957=⊺⇮160","layer":3},{"info":"⊺⇮-3819⋥≓≎⊺⇮160=⊺⇮67","layer":2},{"info":"NaN⋳⪒⊺⇮67=NaN","layer":1},{"info":"NaN⪠⩆⊳=NaN","layer":0}]}
{"id":436,"expression_no_base_symbol":"(⊙↵-(⨈⫕(↔$4463$)))*(∥⊫($1114$⊭↱$1661$))⪄(⨞⊢($5921$⫸⊐$2935$))","expression":"(⊙↵-(⨈⫕(↔⊺⇮4463)))*(∥⊫(⊺⇮1114⊭↱⊺⇮1661))⪄(⨞⊢(⊺⇮5921⫸⊐⊺⇮2935))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":571,"operation_count":9,"complexity_ratio":63.44444444444444,"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":4463,"base":10}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1114,"base":10},"right_expr":{"type":"numeric_atoms","value":1661,"base":10}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":5921,"base":10},"right_expr":{"type":"numeric_atoms","value":2935,"base":10}}}}},"used_operators":["9HNa5Wba9A","oWn0xqSxBt","megm06wKyl","ruOEQAzv1W","SUmda5xLS4","P8v4zCKN1o","COABgblf1C","xUOZtlo3hN","mqXw5SEYmG"],"dependent_operators":["W4YGzv6Whe","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4463","layer":4},{"info":"compute unary expreesion, input=4463, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-4190","layer":3},{"info":"compute unary expreesion, input=-4190, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":2},{"info":"compute unary expreesion, input=-21, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":1},{"info":"number node, value=1114","layer":4},{"info":"number node, value=1661","layer":4},{"info":"compute binary expreesion, left_input=1114, right_input=1661, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=1099","layer":3},{"info":"compute unary expreesion, input=1099, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=1967","layer":2},{"info":"number node, value=5921","layer":4},{"info":"number node, value=2935","layer":4},{"info":"compute binary expreesion, left_input=5921, right_input=2935, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=11615","layer":3},{"info":"compute unary expreesion, input=11615, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-11789","layer":2},{"info":"compute binary expreesion, left_input=1967, right_input=-11789, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-240049","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-240049, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=0","layer":0}],"base":10,"result_base":10,"text":"(⊙↵-(⨈⫕(↔⊺⇮4463)))*(∥⊫(⊺⇮1114⊭↱⊺⇮1661))⪄(⨞⊢(⊺⇮5921⫸⊐⊺⇮2935))=⊺⇮0","reverse_text":"⊺⇮0=(⊙↵-(⨈⫕(↔⊺⇮4463)))*(∥⊫(⊺⇮1114⊭↱⊺⇮1661))⪄(⨞⊢(⊺⇮5921⫸⊐⊺⇮2935))","cot":[{"info":"↔⊺⇮4463=⊺⇮-4190","layer":3},{"info":"⨈⫕⊺⇮-4190=⊺⇮-21","layer":2},{"info":"⊙↵-⊺⇮-21=⊺⇮0","layer":1},{"info":"⊺⇮1114⊭↱⊺⇮1661=⊺⇮1099","layer":3},{"info":"∥⊫⊺⇮1099=⊺⇮1967","layer":2},{"info":"⊺⇮5921⫸⊐⊺⇮2935=⊺⇮11615","layer":3},{"info":"⨞⊢⊺⇮11615=⊺⇮-11789","layer":2},{"info":"⊺⇮1967⪄⊺⇮-11789=⊺⇮-240049","layer":1},{"info":"⊺⇮0*⊺⇮-240049=⊺⇮0","layer":0}]}
{"id":437,"expression_no_base_symbol":"↽≂((∂(↽≂$2197$))⨵⪆$1936$⊴$3202$∲⫓$3954$↬$2755$)","expression":"↽≂((∂(↽≂⊺⇮2197))⨵⪆⊺⇮1936⊴⊺⇮3202∲⫓⊺⇮3954↬⊺⇮2755)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3635,"operation_count":7,"complexity_ratio":519.2857142857143,"tree":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2197,"base":10}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1936,"base":10},"right_expr":{"type":"numeric_atoms","value":3202,"base":10}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3954,"base":10},"right_expr":{"type":"numeric_atoms","value":2755,"base":10}}}}},"used_operators":["u6S6b8DprG","2DQ55sFlQl","Uaa54Peajs","i8ToyICDmI","Nsiff2A1zJ","B5M0gjZbta"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rGHVDoGpnC"],"result":"⊺⇮-320","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2197","layer":4},{"info":"compute unary expreesion, input=2197, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-4394","layer":3},{"info":"compute unary expreesion, input=-4394, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=4130","layer":2},{"info":"number node, value=1936","layer":4},{"info":"number node, value=3202","layer":4},{"info":"compute binary expreesion, left_input=1936, right_input=3202, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=3954","layer":4},{"info":"number node, value=2755","layer":4},{"info":"compute binary expreesion, left_input=3954, right_input=2755, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4130, 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 = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-320","layer":0}],"base":10,"result_base":10,"text":"↽≂((∂(↽≂⊺⇮2197))⨵⪆⊺⇮1936⊴⊺⇮3202∲⫓⊺⇮3954↬⊺⇮2755)=⊺⇮-320","reverse_text":"⊺⇮-320=↽≂((∂(↽≂⊺⇮2197))⨵⪆⊺⇮1936⊴⊺⇮3202∲⫓⊺⇮3954↬⊺⇮2755)","cot":[{"info":"↽≂⊺⇮2197=⊺⇮-4394","layer":3},{"info":"∂⊺⇮-4394=⊺⇮4130","layer":2},{"info":"⊺⇮1936⊴⊺⇮3202=NaN","layer":3},{"info":"⊺⇮3954↬⊺⇮2755=NaN","layer":3},{"info":"NaN∲⫓NaN=NaN","layer":2},{"info":"⊺⇮4130⨵⪆NaN=⊺⇮160","layer":1},{"info":"↽≂⊺⇮160=⊺⇮-320","layer":0}]}
{"id":438,"expression_no_base_symbol":"((≦∁$3548$)⩨(⨑⩽⪐$2211$))∑⇟⊟(↩$3486$)↬($1687$∲⫓$5249$)⨳⩥⨓(∥⊫((⨞⊢$2350$)-$1836$⨪↰⇹$1526$))","expression":"((≦∁⊺⇮3548)⩨(⨑⩽⪐⊺⇮2211))∑⇟⊟(↩⊺⇮3486)↬(⊺⇮1687∲⫓⊺⇮5249)⨳⩥⨓(∥⊫((⨞⊢⊺⇮2350)-⊺⇮1836⨪↰⇹⊺⇮1526))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1874,"operation_count":12,"complexity_ratio":156.16666666666666,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":3548,"base":10}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2211,"base":10}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":3486,"base":10}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1687,"base":10},"right_expr":{"type":"numeric_atoms","value":5249,"base":10}}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2350,"base":10}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1836,"base":10},"right_expr":{"type":"numeric_atoms","value":1526,"base":10}}}}},"used_operators":["nCS4ZIUYfx","U7g4x0WXJJ","2DlMacCsIx","9ICcGScMcE","AF7qkfDlqP","B5M0gjZbta","jLgFTUHLKL","i8ToyICDmI","P8v4zCKN1o","rysDP5nf3Z","xUOZtlo3hN","tmPS8pqC7x"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rGHVDoGpnC","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3548","layer":4},{"info":"compute unary expreesion, input=3548, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3548","layer":3},{"info":"number node, value=2211","layer":4},{"info":"compute unary expreesion, input=2211, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1938","layer":3},{"info":"compute binary expreesion, left_input=3548, right_input=-1938, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=3","layer":2},{"info":"number node, value=3486","layer":4},{"info":"compute unary expreesion, input=3486, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-25108","layer":3},{"info":"number node, value=1687","layer":4},{"info":"number node, value=5249","layer":4},{"info":"compute binary expreesion, left_input=1687, right_input=5249, 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=-25108, right_input=0, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3, 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=2350","layer":4},{"info":"compute unary expreesion, input=2350, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2524","layer":3},{"info":"number node, value=1836","layer":4},{"info":"number node, value=1526","layer":4},{"info":"compute binary expreesion, left_input=1836, right_input=1526, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1836","layer":3},{"info":"compute binary expreesion, left_input=-2524, right_input=1836, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-4360","layer":2},{"info":"compute unary expreesion, input=-4360, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=-55","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-55, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((≦∁⊺⇮3548)⩨(⨑⩽⪐⊺⇮2211))∑⇟⊟(↩⊺⇮3486)↬(⊺⇮1687∲⫓⊺⇮5249)⨳⩥⨓(∥⊫((⨞⊢⊺⇮2350)-⊺⇮1836⨪↰⇹⊺⇮1526))=NaN","reverse_text":"NaN=((≦∁⊺⇮3548)⩨(⨑⩽⪐⊺⇮2211))∑⇟⊟(↩⊺⇮3486)↬(⊺⇮1687∲⫓⊺⇮5249)⨳⩥⨓(∥⊫((⨞⊢⊺⇮2350)-⊺⇮1836⨪↰⇹⊺⇮1526))","cot":[{"info":"≦∁⊺⇮3548=⊺⇮3548","layer":3},{"info":"⨑⩽⪐⊺⇮2211=⊺⇮-1938","layer":3},{"info":"⊺⇮3548⩨⊺⇮-1938=⊺⇮3","layer":2},{"info":"↩⊺⇮3486=⊺⇮-25108","layer":3},{"info":"⊺⇮1687∲⫓⊺⇮5249=⊺⇮0","layer":3},{"info":"⊺⇮-25108↬⊺⇮0=NaN","layer":2},{"info":"⊺⇮3∑⇟⊟NaN=NaN","layer":1},{"info":"⨞⊢⊺⇮2350=⊺⇮-2524","layer":3},{"info":"⊺⇮1836⨪↰⇹⊺⇮1526=⊺⇮1836","layer":3},{"info":"⊺⇮-2524-⊺⇮1836=⊺⇮-4360","layer":2},{"info":"∥⊫⊺⇮-4360=⊺⇮-55","layer":1},{"info":"NaN⨳⩥⨓⊺⇮-55=NaN","layer":0}]}
{"id":439,"expression_no_base_symbol":"(↯⪼(⨈⫕(≤/$1179$)))⪠⩆⊳","expression":"(↯⪼(⨈⫕(≤/⊺⇮1179)))⪠⩆⊳","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":424,"operation_count":4,"complexity_ratio":106.0,"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":1179,"base":10}}}}},"used_operators":["JLbD19bQDL","8jW3W4yZS5","megm06wKyl","eLAdDNolq6"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=1179","layer":4},{"info":"compute unary expreesion, input=1179, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-695","layer":3},{"info":"compute unary expreesion, input=-695, 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 = 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 = 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":10,"result_base":10,"text":"(↯⪼(⨈⫕(≤/⊺⇮1179)))⪠⩆⊳=⊺⇮0","reverse_text":"⊺⇮0=(↯⪼(⨈⫕(≤/⊺⇮1179)))⪠⩆⊳","cot":[{"info":"≤/⊺⇮1179=⊺⇮-695","layer":3},{"info":"⨈⫕⊺⇮-695=⊺⇮-21","layer":2},{"info":"↯⪼⊺⇮-21=⊺⇮-21","layer":1},{"info":"⊺⇮-21⪠⩆⊳=⊺⇮0","layer":0}]}
{"id":440,"expression_no_base_symbol":"(≤/(≤/$1934$))⨰(($3998$⨵⪆$1150$)⨸⪁$1936$+⇶⊼$3029$)+⇶⊼(($4957$⨰$8603$)⪘⫢(⪲⇎$1261$)/(↥($7359$%$2328$)))","expression":"(≤/(≤/⊺⇮1934))⨰((⊺⇮3998⨵⪆⊺⇮1150)⨸⪁⊺⇮1936+⇶⊼⊺⇮3029)+⇶⊼((⊺⇮4957⨰⊺⇮8603)⪘⫢(⪲⇎⊺⇮1261)/(↥(⊺⇮7359%⊺⇮2328)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":42,"operation_count":13,"complexity_ratio":3.230769230769231,"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":1934,"base":10}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3998,"base":10},"right_expr":{"type":"numeric_atoms","value":1150,"base":10}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1936,"base":10},"right_expr":{"type":"numeric_atoms","value":3029,"base":10}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4957,"base":10},"right_expr":{"type":"numeric_atoms","value":8603,"base":10}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1261,"base":10}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":7359,"base":10},"right_expr":{"type":"numeric_atoms","value":2328,"base":10}}}}},"used_operators":["TpPTUOHfaN","eewbuw0ToL","eLAdDNolq6","g55IO6H4Gj","2DQ55sFlQl","XhwjNDsVaA","oacrs7FA3X","XPYlsWDdGa","A8NUZmVepG","k8jYdgA6NY"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1934","layer":4},{"info":"compute unary expreesion, input=1934, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1450","layer":3},{"info":"compute unary expreesion, input=-1450, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=1934","layer":2},{"info":"number node, value=3998","layer":4},{"info":"number node, value=1150","layer":4},{"info":"compute binary expreesion, left_input=3998, right_input=1150, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1936","layer":4},{"info":"number node, value=3029","layer":4},{"info":"compute binary expreesion, left_input=1936, right_input=3029, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1934, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"number node, value=4957","layer":4},{"info":"number node, value=8603","layer":4},{"info":"compute binary expreesion, left_input=4957, right_input=8603, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-3636","layer":3},{"info":"number node, value=1261","layer":4},{"info":"compute unary expreesion, input=1261, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2522","layer":3},{"info":"compute binary expreesion, left_input=-3636, right_input=2522, 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=7359","layer":4},{"info":"number node, value=2328","layer":4},{"info":"compute binary expreesion, left_input=7359, right_input=2328, op_id = k8jYdgA6NY binary_op_definition= 'None', output=375","layer":3},{"info":"compute unary expreesion, input=375, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=18","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=18, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":1},{"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":0}],"base":10,"result_base":10,"text":"(≤/(≤/⊺⇮1934))⨰((⊺⇮3998⨵⪆⊺⇮1150)⨸⪁⊺⇮1936+⇶⊼⊺⇮3029)+⇶⊼((⊺⇮4957⨰⊺⇮8603)⪘⫢(⪲⇎⊺⇮1261)/(↥(⊺⇮7359%⊺⇮2328)))=NaN","reverse_text":"NaN=(≤/(≤/⊺⇮1934))⨰((⊺⇮3998⨵⪆⊺⇮1150)⨸⪁⊺⇮1936+⇶⊼⊺⇮3029)+⇶⊼((⊺⇮4957⨰⊺⇮8603)⪘⫢(⪲⇎⊺⇮1261)/(↥(⊺⇮7359%⊺⇮2328)))","cot":[{"info":"≤/⊺⇮1934=⊺⇮-1450","layer":3},{"info":"≤/⊺⇮-1450=⊺⇮1934","layer":2},{"info":"⊺⇮3998⨵⪆⊺⇮1150=⊺⇮160","layer":3},{"info":"⊺⇮1936+⇶⊼⊺⇮3029=NaN","layer":3},{"info":"⊺⇮160⨸⪁NaN=NaN","layer":2},{"info":"⊺⇮1934⨰NaN=NaN","layer":1},{"info":"⊺⇮4957⨰⊺⇮8603=⊺⇮-3636","layer":3},{"info":"⪲⇎⊺⇮1261=⊺⇮2522","layer":3},{"info":"⊺⇮-3636⪘⫢⊺⇮2522=⊺⇮-1","layer":2},{"info":"⊺⇮7359%⊺⇮2328=⊺⇮375","layer":3},{"info":"↥⊺⇮375=⊺⇮18","layer":2},{"info":"⊺⇮-1/⊺⇮18=⊺⇮-1","layer":1},{"info":"NaN+⇶⊼⊺⇮-1=NaN","layer":0}]}
{"id":441,"expression_no_base_symbol":"(⨑⩽⪐($3396$↪⪝)⋝⋈⪟($4255$⪨≂$1379$))⩠","expression":"(⨑⩽⪐(⊺⇮3396↪⪝)⋝⋈⪟(⊺⇮4255⪨≂⊺⇮1379))⩠","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":729,"operation_count":5,"complexity_ratio":145.8,"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":3396,"base":10}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4255,"base":10},"right_expr":{"type":"numeric_atoms","value":1379,"base":10}}}}},"used_operators":["sJAwomhLZr","AF7qkfDlqP","2DDjHMKMc0","l07mrZUIn9","sdazOOVcIp"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","t8gj7n24qd"],"result":"⊺⇮831095405","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3396","layer":4},{"info":"compute unary expreesion, input=3396, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=207774072","layer":3},{"info":"number node, value=4255","layer":4},{"info":"number node, value=1379","layer":4},{"info":"compute binary expreesion, left_input=4255, right_input=1379, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=5854","layer":3},{"info":"compute binary expreesion, left_input=207774072, right_input=5854, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=207774072","layer":2},{"info":"compute unary expreesion, input=207774072, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-207773799","layer":1},{"info":"compute unary expreesion, input=-207773799, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=831095405","layer":0}],"base":10,"result_base":10,"text":"(⨑⩽⪐(⊺⇮3396↪⪝)⋝⋈⪟(⊺⇮4255⪨≂⊺⇮1379))⩠=⊺⇮831095405","reverse_text":"⊺⇮831095405=(⨑⩽⪐(⊺⇮3396↪⪝)⋝⋈⪟(⊺⇮4255⪨≂⊺⇮1379))⩠","cot":[{"info":"⊺⇮3396↪⪝=⊺⇮207774072","layer":3},{"info":"⊺⇮4255⪨≂⊺⇮1379=⊺⇮5854","layer":3},{"info":"⊺⇮207774072⋝⋈⪟⊺⇮5854=⊺⇮207774072","layer":2},{"info":"⨑⩽⪐⊺⇮207774072=⊺⇮-207773799","layer":1},{"info":"⊺⇮-207773799⩠=⊺⇮831095405","layer":0}]}
{"id":442,"expression_no_base_symbol":"(((⨑⩽⪐$6749$)⪨≂(⨰⫟⨤$1477$))⫩⊇)⇷($2498$⇷$1646$⩚⊴⇥$1268$∑⇟⊟$1419$)≹⇙⪍(($2185$∲⫓$4024$)⪮%⊝($3048$⪘⫢$2550$))","expression":"(((⨑⩽⪐⊺⇮6749)⪨≂(⨰⫟⨤⊺⇮1477))⫩⊇)⇷(⊺⇮2498⇷⊺⇮1646⩚⊴⇥⊺⇮1268∑⇟⊟⊺⇮1419)≹⇙⪍((⊺⇮2185∲⫓⊺⇮4024)⪮%⊝(⊺⇮3048⪘⫢⊺⇮2550))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":139950,"operation_count":12,"complexity_ratio":11662.5,"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":6749,"base":10}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1477,"base":10}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2498,"base":10},"right_expr":{"type":"numeric_atoms","value":1646,"base":10}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1268,"base":10},"right_expr":{"type":"numeric_atoms","value":1419,"base":10}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2185,"base":10},"right_expr":{"type":"numeric_atoms","value":4024,"base":10}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3048,"base":10},"right_expr":{"type":"numeric_atoms","value":2550,"base":10}}}}},"used_operators":["mp7IySMOzn","BjRHVeLaeN","sdazOOVcIp","AF7qkfDlqP","Tw270M8GLb","AHs5Up7iyr","NTOWxs364D","U7g4x0WXJJ","IWmyXbctLI","i8ToyICDmI","oacrs7FA3X"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6749","layer":4},{"info":"compute unary expreesion, input=6749, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-6476","layer":3},{"info":"number node, value=1477","layer":4},{"info":"compute unary expreesion, input=1477, 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=-6476, 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 = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":1},{"info":"number node, value=2498","layer":4},{"info":"number node, value=1646","layer":4},{"info":"compute binary expreesion, left_input=2498, right_input=1646, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3292","layer":3},{"info":"number node, value=1268","layer":4},{"info":"number node, value=1419","layer":4},{"info":"compute binary expreesion, left_input=1268, right_input=1419, 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=3292, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"number node, value=2185","layer":4},{"info":"number node, value=4024","layer":4},{"info":"compute binary expreesion, left_input=2185, right_input=4024, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=3048","layer":4},{"info":"number node, value=2550","layer":4},{"info":"compute binary expreesion, left_input=3048, right_input=2550, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5972","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5972, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=316","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=316, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":10,"result_base":10,"text":"(((⨑⩽⪐⊺⇮6749)⪨≂(⨰⫟⨤⊺⇮1477))⫩⊇)⇷(⊺⇮2498⇷⊺⇮1646⩚⊴⇥⊺⇮1268∑⇟⊟⊺⇮1419)≹⇙⪍((⊺⇮2185∲⫓⊺⇮4024)⪮%⊝(⊺⇮3048⪘⫢⊺⇮2550))=NaN","reverse_text":"NaN=(((⨑⩽⪐⊺⇮6749)⪨≂(⨰⫟⨤⊺⇮1477))⫩⊇)⇷(⊺⇮2498⇷⊺⇮1646⩚⊴⇥⊺⇮1268∑⇟⊟⊺⇮1419)≹⇙⪍((⊺⇮2185∲⫓⊺⇮4024)⪮%⊝(⊺⇮3048⪘⫢⊺⇮2550))","cot":[{"info":"⨑⩽⪐⊺⇮6749=⊺⇮-6476","layer":3},{"info":"⨰⫟⨤⊺⇮1477=NaN","layer":3},{"info":"⊺⇮-6476⪨≂NaN=NaN","layer":2},{"info":"NaN⫩⊇=NaN","layer":1},{"info":"⊺⇮2498⇷⊺⇮1646=⊺⇮3292","layer":3},{"info":"⊺⇮1268∑⇟⊟⊺⇮1419=NaN","layer":3},{"info":"⊺⇮3292⩚⊴⇥NaN=NaN","layer":2},{"info":"⊺⇮2185∲⫓⊺⇮4024=⊺⇮0","layer":3},{"info":"⊺⇮3048⪘⫢⊺⇮2550=⊺⇮5972","layer":3},{"info":"⊺⇮0⪮%⊝⊺⇮5972=⊺⇮316","layer":2},{"info":"NaN≹⇙⪍⊺⇮316=NaN","layer":1},{"info":"NaN⇷NaN=NaN","layer":0}]}
{"id":443,"expression_no_base_symbol":"($2153$≹⇙⪍$3571$⋳⪒($9793$%$8657$)*$1545$⋝⋈⪟$5022$⋓($1581$≣⋋))≎⊠⪸((↣≠⋷$7815$)⫸⊐$2309$+⇶⊼$1726$)∼($6679$⊴$2643$⪒($1572$⊦⊿))","expression":"(⊺⇮2153≹⇙⪍⊺⇮3571⋳⪒(⊺⇮9793%⊺⇮8657)*⊺⇮1545⋝⋈⪟⊺⇮5022⋓(⊺⇮1581≣⋋))≎⊠⪸((↣≠⋷⊺⇮7815)⫸⊐⊺⇮2309+⇶⊼⊺⇮1726)∼(⊺⇮6679⊴⊺⇮2643⪒(⊺⇮1572⊦⊿))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":11843,"operation_count":15,"complexity_ratio":789.5333333333333,"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":2153,"base":10},"right_expr":{"type":"numeric_atoms","value":3571,"base":10}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":9793,"base":10},"right_expr":{"type":"numeric_atoms","value":8657,"base":10}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1545,"base":10},"right_expr":{"type":"numeric_atoms","value":5022,"base":10}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":1581,"base":10}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":7815,"base":10}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2309,"base":10},"right_expr":{"type":"numeric_atoms","value":1726,"base":10}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":6679,"base":10},"right_expr":{"type":"numeric_atoms","value":2643,"base":10}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1572,"base":10}}}}},"used_operators":["bJkvcejdHO","9HNa5Wba9A","12rbrZMWeM","AHs5Up7iyr","k8jYdgA6NY","T2fj7uvVaJ","2DDjHMKMc0","Tcnh7f0tEr","DyGG3AbaNP","mqXw5SEYmG","Asc51vEJeQ","TpPTUOHfaN","f6k1SAg4EE","Nsiff2A1zJ","14qkJME0vr"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","XhwjNDsVaA","AHs5Up7iyr","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⊺⇮67","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2153","layer":4},{"info":"number node, value=3571","layer":4},{"info":"compute binary expreesion, left_input=2153, right_input=3571, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=9793","layer":4},{"info":"number node, value=8657","layer":4},{"info":"compute binary expreesion, left_input=9793, right_input=8657, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1136","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1136, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"number node, value=1545","layer":4},{"info":"number node, value=5022","layer":4},{"info":"compute binary expreesion, left_input=1545, right_input=5022, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1545","layer":3},{"info":"number node, value=1581","layer":4},{"info":"compute unary expreesion, input=1581, 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=1545, 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=nan, right_input=0, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=7815","layer":4},{"info":"compute unary expreesion, input=7815, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=2309","layer":4},{"info":"number node, value=1726","layer":4},{"info":"compute binary expreesion, left_input=2309, 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":"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":2},{"info":"number node, value=6679","layer":4},{"info":"number node, value=2643","layer":4},{"info":"compute binary expreesion, left_input=6679, right_input=2643, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1572","layer":4},{"info":"compute unary expreesion, input=1572, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-4795","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4795, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"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":10,"result_base":10,"text":"(⊺⇮2153≹⇙⪍⊺⇮3571⋳⪒(⊺⇮9793%⊺⇮8657)*⊺⇮1545⋝⋈⪟⊺⇮5022⋓(⊺⇮1581≣⋋))≎⊠⪸((↣≠⋷⊺⇮7815)⫸⊐⊺⇮2309+⇶⊼⊺⇮1726)∼(⊺⇮6679⊴⊺⇮2643⪒(⊺⇮1572⊦⊿))=⊺⇮67","reverse_text":"⊺⇮67=(⊺⇮2153≹⇙⪍⊺⇮3571⋳⪒(⊺⇮9793%⊺⇮8657)*⊺⇮1545⋝⋈⪟⊺⇮5022⋓(⊺⇮1581≣⋋))≎⊠⪸((↣≠⋷⊺⇮7815)⫸⊐⊺⇮2309+⇶⊼⊺⇮1726)∼(⊺⇮6679⊴⊺⇮2643⪒(⊺⇮1572⊦⊿))","cot":[{"info":"⊺⇮2153≹⇙⪍⊺⇮3571=NaN","layer":3},{"info":"⊺⇮9793%⊺⇮8657=⊺⇮1136","layer":3},{"info":"NaN⋳⪒⊺⇮1136=NaN","layer":2},{"info":"⊺⇮1545⋝⋈⪟⊺⇮5022=⊺⇮1545","layer":3},{"info":"⊺⇮1581≣⋋=⊺⇮0","layer":3},{"info":"⊺⇮1545⋓⊺⇮0=⊺⇮0","layer":2},{"info":"NaN*⊺⇮0=NaN","layer":1},{"info":"↣≠⋷⊺⇮7815=NaN","layer":3},{"info":"⊺⇮2309+⇶⊼⊺⇮1726=NaN","layer":3},{"info":"NaN⫸⊐NaN=NaN","layer":2},{"info":"⊺⇮6679⊴⊺⇮2643=NaN","layer":3},{"info":"⊺⇮1572⊦⊿=⊺⇮-4795","layer":3},{"info":"NaN⪒⊺⇮-4795=NaN","layer":2},{"info":"NaN∼NaN=NaN","layer":1},{"info":"NaN≎⊠⪸NaN=⊺⇮67","layer":0}]}
{"id":444,"expression_no_base_symbol":"$2713$⩷∴$1821$⨰(⨵≀≌$5306$)≎⊠⪸($1127$⪢$4042$)⪮%⊝($2122$⨽$4110$)≭(⊥$1045$)≹⇙⪍($6166$⫡⨏$6963$)⊴($1298$⨓$2792$↺$5931$⨓$7511$)","expression":"⊺⇮2713⩷∴⊺⇮1821⨰(⨵≀≌⊺⇮5306)≎⊠⪸(⊺⇮1127⪢⊺⇮4042)⪮%⊝(⊺⇮2122⨽⊺⇮4110)≭(⊥⊺⇮1045)≹⇙⪍(⊺⇮6166⫡⨏⊺⇮6963)⊴(⊺⇮1298⨓⊺⇮2792↺⊺⇮5931⨓⊺⇮7511)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":24055,"operation_count":15,"complexity_ratio":1603.6666666666667,"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":2713,"base":10},"right_expr":{"type":"numeric_atoms","value":1821,"base":10}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":5306,"base":10}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1127,"base":10},"right_expr":{"type":"numeric_atoms","value":4042,"base":10}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2122,"base":10},"right_expr":{"type":"numeric_atoms","value":4110,"base":10}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1045,"base":10}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":6166,"base":10},"right_expr":{"type":"numeric_atoms","value":6963,"base":10}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1298,"base":10},"right_expr":{"type":"numeric_atoms","value":2792,"base":10}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":5931,"base":10},"right_expr":{"type":"numeric_atoms","value":7511,"base":10}}}}},"used_operators":["rxpJgHHUmx","bJkvcejdHO","eewbuw0ToL","9FxExcQeMw","srAu1WTS94","IWmyXbctLI","dWAJyo7jo9","8HhzD0ZcuI","Nsiff2A1zJ","AHs5Up7iyr","Q3PJZHRvZv","QMFrweE19q","7j4O788W3g","3ViojmjbAp"],"dependent_operators":["AHs5Up7iyr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","k8jYdgA6NY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","14qkJME0vr","dWAJyo7jo9","fu6greOZ01","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2713","layer":4},{"info":"number node, value=1821","layer":4},{"info":"compute binary expreesion, left_input=2713, right_input=1821, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1752","layer":3},{"info":"number node, value=5306","layer":4},{"info":"compute unary expreesion, input=5306, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-15918","layer":3},{"info":"compute binary expreesion, left_input=1752, right_input=-15918, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=17680","layer":2},{"info":"number node, value=1127","layer":4},{"info":"number node, value=4042","layer":4},{"info":"compute binary expreesion, left_input=1127, right_input=4042, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=2122","layer":4},{"info":"number node, value=4110","layer":4},{"info":"compute binary expreesion, left_input=2122, right_input=4110, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-13519668","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-13519668, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=17680, 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=1045","layer":4},{"info":"compute unary expreesion, input=1045, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=6166","layer":4},{"info":"number node, value=6963","layer":4},{"info":"compute binary expreesion, left_input=6166, right_input=6963, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=45539","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=45539, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=1298","layer":4},{"info":"number node, value=2792","layer":4},{"info":"compute binary expreesion, left_input=1298, right_input=2792, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2795","layer":3},{"info":"number node, value=5931","layer":4},{"info":"number node, value=7511","layer":4},{"info":"compute binary expreesion, left_input=5931, right_input=7511, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-7514","layer":3},{"info":"compute binary expreesion, left_input=-2795, right_input=-7514, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-7514","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-7514, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":10,"result_base":10,"text":"⊺⇮2713⩷∴⊺⇮1821⨰(⨵≀≌⊺⇮5306)≎⊠⪸(⊺⇮1127⪢⊺⇮4042)⪮%⊝(⊺⇮2122⨽⊺⇮4110)≭(⊥⊺⇮1045)≹⇙⪍(⊺⇮6166⫡⨏⊺⇮6963)⊴(⊺⇮1298⨓⊺⇮2792↺⊺⇮5931⨓⊺⇮7511)=NaN","reverse_text":"NaN=⊺⇮2713⩷∴⊺⇮1821⨰(⨵≀≌⊺⇮5306)≎⊠⪸(⊺⇮1127⪢⊺⇮4042)⪮%⊝(⊺⇮2122⨽⊺⇮4110)≭(⊥⊺⇮1045)≹⇙⪍(⊺⇮6166⫡⨏⊺⇮6963)⊴(⊺⇮1298⨓⊺⇮2792↺⊺⇮5931⨓⊺⇮7511)","cot":[{"info":"⊺⇮2713⩷∴⊺⇮1821=⊺⇮1752","layer":3},{"info":"⨵≀≌⊺⇮5306=⊺⇮-15918","layer":3},{"info":"⊺⇮1752⨰⊺⇮-15918=⊺⇮17680","layer":2},{"info":"⊺⇮1127⪢⊺⇮4042=NaN","layer":3},{"info":"⊺⇮2122⨽⊺⇮4110=⊺⇮-13519668","layer":3},{"info":"NaN⪮%⊝⊺⇮-13519668=NaN","layer":2},{"info":"⊺⇮17680≎⊠⪸NaN=⊺⇮67","layer":1},{"info":"⊥⊺⇮1045=NaN","layer":3},{"info":"⊺⇮6166⫡⨏⊺⇮6963=⊺⇮45539","layer":3},{"info":"NaN≹⇙⪍⊺⇮45539=NaN","layer":2},{"info":"⊺⇮1298⨓⊺⇮2792=⊺⇮-2795","layer":3},{"info":"⊺⇮5931⨓⊺⇮7511=⊺⇮-7514","layer":3},{"info":"⊺⇮-2795↺⊺⇮-7514=⊺⇮-7514","layer":2},{"info":"NaN⊴⊺⇮-7514=NaN","layer":1},{"info":"⊺⇮67≭NaN=NaN","layer":0}]}
{"id":445,"expression_no_base_symbol":"⫛⫱⨽((($3083$⩠)⊠≄⫣)⊘)","expression":"⫛⫱⨽(((⊺⇮3083⩠)⊠≄⫣)⊘)","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":955,"operation_count":4,"complexity_ratio":238.75,"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":3083,"base":10}}}}},"used_operators":["DlLNRPXxWL","gu96TGCTMs","DIvbN7qnHd","sJAwomhLZr"],"dependent_operators":["rGHVDoGpnC","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=3083","layer":4},{"info":"compute unary expreesion, input=3083, 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 = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":0}],"base":10,"result_base":10,"text":"⫛⫱⨽(((⊺⇮3083⩠)⊠≄⫣)⊘)=⊺⇮0","reverse_text":"⊺⇮0=⫛⫱⨽(((⊺⇮3083⩠)⊠≄⫣)⊘)","cot":[{"info":"⊺⇮3083⩠=⊺⇮0","layer":3},{"info":"⊺⇮0⊠≄⫣=⊺⇮0","layer":2},{"info":"⊺⇮0⊘=⊺⇮0","layer":1},{"info":"⫛⫱⨽⊺⇮0=⊺⇮0","layer":0}]}
{"id":446,"expression_no_base_symbol":"(((⨰⫟⨤$4424$)⨸⪁$5097$⪘⫢$2088$)⪘⫢(+⊝⨔(↔$2716$)))⪢((⊙↵-($6815$≧⫂∧$1009$))⨳⩥⨓($2590$∑⇟⊟$5340$)⊴($2480$⪘⫢$1656$))","expression":"(((⨰⫟⨤⊺⇮4424)⨸⪁⊺⇮5097⪘⫢⊺⇮2088)⪘⫢(+⊝⨔(↔⊺⇮2716)))⪢((⊙↵-(⊺⇮6815≧⫂∧⊺⇮1009))⨳⩥⨓(⊺⇮2590∑⇟⊟⊺⇮5340)⊴(⊺⇮2480⪘⫢⊺⇮1656))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":22355,"operation_count":13,"complexity_ratio":1719.6153846153845,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":4424,"base":10}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":5097,"base":10},"right_expr":{"type":"numeric_atoms","value":2088,"base":10}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2716,"base":10}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":6815,"base":10},"right_expr":{"type":"numeric_atoms","value":1009,"base":10}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2590,"base":10},"right_expr":{"type":"numeric_atoms","value":5340,"base":10}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2480,"base":10},"right_expr":{"type":"numeric_atoms","value":1656,"base":10}}}}},"used_operators":["dWAJyo7jo9","oacrs7FA3X","g55IO6H4Gj","Tw270M8GLb","DhbWaqg5eL","ruOEQAzv1W","nCS4ZIUYfx","oWn0xqSxBt","Ph9nP6C5qx","Nsiff2A1zJ","U7g4x0WXJJ"],"dependent_operators":["k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4424","layer":4},{"info":"compute unary expreesion, input=4424, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=5097","layer":4},{"info":"number node, value=2088","layer":4},{"info":"compute binary expreesion, left_input=5097, right_input=2088, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=10070","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=10070, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"number node, value=2716","layer":4},{"info":"compute unary expreesion, input=2716, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2443","layer":3},{"info":"compute unary expreesion, input=-2443, 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 = 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=6815","layer":4},{"info":"number node, value=1009","layer":4},{"info":"compute binary expreesion, left_input=6815, right_input=1009, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=536","layer":3},{"info":"compute unary expreesion, input=536, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":2},{"info":"number node, value=2590","layer":4},{"info":"number node, value=5340","layer":4},{"info":"compute binary expreesion, left_input=2590, right_input=5340, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=2480","layer":4},{"info":"number node, value=1656","layer":4},{"info":"compute binary expreesion, left_input=2480, right_input=1656, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4836","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4836, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":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":10,"result_base":10,"text":"(((⨰⫟⨤⊺⇮4424)⨸⪁⊺⇮5097⪘⫢⊺⇮2088)⪘⫢(+⊝⨔(↔⊺⇮2716)))⪢((⊙↵-(⊺⇮6815≧⫂∧⊺⇮1009))⨳⩥⨓(⊺⇮2590∑⇟⊟⊺⇮5340)⊴(⊺⇮2480⪘⫢⊺⇮1656))=NaN","reverse_text":"NaN=(((⨰⫟⨤⊺⇮4424)⨸⪁⊺⇮5097⪘⫢⊺⇮2088)⪘⫢(+⊝⨔(↔⊺⇮2716)))⪢((⊙↵-(⊺⇮6815≧⫂∧⊺⇮1009))⨳⩥⨓(⊺⇮2590∑⇟⊟⊺⇮5340)⊴(⊺⇮2480⪘⫢⊺⇮1656))","cot":[{"info":"⨰⫟⨤⊺⇮4424=NaN","layer":3},{"info":"⊺⇮5097⪘⫢⊺⇮2088=⊺⇮10070","layer":3},{"info":"NaN⨸⪁⊺⇮10070=NaN","layer":2},{"info":"↔⊺⇮2716=⊺⇮-2443","layer":3},{"info":"+⊝⨔⊺⇮-2443=⊺⇮1522","layer":2},{"info":"NaN⪘⫢⊺⇮1522=NaN","layer":1},{"info":"⊺⇮6815≧⫂∧⊺⇮1009=⊺⇮536","layer":3},{"info":"⊙↵-⊺⇮536=⊺⇮-1","layer":2},{"info":"⊺⇮2590∑⇟⊟⊺⇮5340=NaN","layer":3},{"info":"⊺⇮2480⪘⫢⊺⇮1656=⊺⇮4836","layer":3},{"info":"NaN⊴⊺⇮4836=NaN","layer":2},{"info":"⊺⇮-1⨳⩥⨓NaN=NaN","layer":1},{"info":"NaN⪢NaN=NaN","layer":0}]}
{"id":447,"expression_no_base_symbol":"⊥(($3758$⨟⋌⩍$2063$⇼⇔∾$3432$⋥≓≎$5876$)⋓(($1062$+$1820$)⫥∨⫟(↣≠⋷$1006$)))","expression":"⊥((⊺⇮3758⨟⋌⩍⊺⇮2063⇼⇔∾⊺⇮3432⋥≓≎⊺⇮5876)⋓((⊺⇮1062+⊺⇮1820)⫥∨⫟(↣≠⋷⊺⇮1006)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":179,"operation_count":8,"complexity_ratio":22.375,"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":3758,"base":10},"right_expr":{"type":"numeric_atoms","value":2063,"base":10}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3432,"base":10},"right_expr":{"type":"numeric_atoms","value":5876,"base":10}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1062,"base":10},"right_expr":{"type":"numeric_atoms","value":1820,"base":10}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1006,"base":10}}}}},"used_operators":["Q3PJZHRvZv","T2fj7uvVaJ","tifHPKVTfV","rGHVDoGpnC","Qy55tPpLXF","KYD54nUTWz","W4YGzv6Whe","Asc51vEJeQ"],"dependent_operators":["fu6greOZ01","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=3758","layer":4},{"info":"number node, value=2063","layer":4},{"info":"compute binary expreesion, left_input=3758, right_input=2063, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=3432","layer":4},{"info":"number node, value=5876","layer":4},{"info":"compute binary expreesion, left_input=3432, right_input=5876, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=8353","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8353, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"number node, value=1062","layer":4},{"info":"number node, value=1820","layer":4},{"info":"compute binary expreesion, left_input=1062, right_input=1820, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2882","layer":3},{"info":"number node, value=1006","layer":4},{"info":"compute unary expreesion, input=1006, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2882, 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 = T2fj7uvVaJ 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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⊥((⊺⇮3758⨟⋌⩍⊺⇮2063⇼⇔∾⊺⇮3432⋥≓≎⊺⇮5876)⋓((⊺⇮1062+⊺⇮1820)⫥∨⫟(↣≠⋷⊺⇮1006)))=NaN","reverse_text":"NaN=⊥((⊺⇮3758⨟⋌⩍⊺⇮2063⇼⇔∾⊺⇮3432⋥≓≎⊺⇮5876)⋓((⊺⇮1062+⊺⇮1820)⫥∨⫟(↣≠⋷⊺⇮1006)))","cot":[{"info":"⊺⇮3758⨟⋌⩍⊺⇮2063=NaN","layer":3},{"info":"⊺⇮3432⋥≓≎⊺⇮5876=⊺⇮8353","layer":3},{"info":"NaN⇼⇔∾⊺⇮8353=NaN","layer":2},{"info":"⊺⇮1062+⊺⇮1820=⊺⇮2882","layer":3},{"info":"↣≠⋷⊺⇮1006=NaN","layer":3},{"info":"⊺⇮2882⫥∨⫟NaN=NaN","layer":2},{"info":"NaN⋓NaN=NaN","layer":1},{"info":"⊥NaN=NaN","layer":0}]}
{"id":448,"expression_no_base_symbol":"↣≠⋷((⪲⇎$3359$⨪↰⇹$3287$)≎⊠⪸(($4364$↪⪝)⋳⪒(⪝⪂⫅$1012$)))","expression":"↣≠⋷((⪲⇎⊺⇮3359⨪↰⇹⊺⇮3287)≎⊠⪸((⊺⇮4364↪⪝)⋳⪒(⪝⪂⫅⊺⇮1012)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4491,"operation_count":7,"complexity_ratio":641.5714285714286,"tree":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3359,"base":10},"right_expr":{"type":"numeric_atoms","value":3287,"base":10}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":4364,"base":10}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1012,"base":10}}}}},"used_operators":["Asc51vEJeQ","bJkvcejdHO","XPYlsWDdGa","tmPS8pqC7x","12rbrZMWeM","l07mrZUIn9","XTarYq4gQB"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","9HNa5Wba9A","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3359","layer":4},{"info":"number node, value=3287","layer":4},{"info":"compute binary expreesion, left_input=3359, right_input=3287, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3359","layer":3},{"info":"compute unary expreesion, input=3359, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=6718","layer":2},{"info":"number node, value=4364","layer":4},{"info":"compute unary expreesion, input=4364, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=266998248","layer":3},{"info":"number node, value=1012","layer":4},{"info":"compute unary expreesion, input=1012, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-148764","layer":3},{"info":"compute binary expreesion, left_input=266998248, right_input=-148764, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=534144973","layer":2},{"info":"compute binary expreesion, left_input=6718, right_input=534144973, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1739489","layer":1},{"info":"compute unary expreesion, input=1739489, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"↣≠⋷((⪲⇎⊺⇮3359⨪↰⇹⊺⇮3287)≎⊠⪸((⊺⇮4364↪⪝)⋳⪒(⪝⪂⫅⊺⇮1012)))=NaN","reverse_text":"NaN=↣≠⋷((⪲⇎⊺⇮3359⨪↰⇹⊺⇮3287)≎⊠⪸((⊺⇮4364↪⪝)⋳⪒(⪝⪂⫅⊺⇮1012)))","cot":[{"info":"⊺⇮3359⨪↰⇹⊺⇮3287=⊺⇮3359","layer":3},{"info":"⪲⇎⊺⇮3359=⊺⇮6718","layer":2},{"info":"⊺⇮4364↪⪝=⊺⇮266998248","layer":3},{"info":"⪝⪂⫅⊺⇮1012=⊺⇮-148764","layer":3},{"info":"⊺⇮266998248⋳⪒⊺⇮-148764=⊺⇮534144973","layer":2},{"info":"⊺⇮6718≎⊠⪸⊺⇮534144973=⊺⇮1739489","layer":1},{"info":"↣≠⋷⊺⇮1739489=NaN","layer":0}]}
{"id":449,"expression_no_base_symbol":"($5085$⪒$5238$)⨽$1887$⨎$6843$⨵⪆($4450$⨎$2876$)∑⇟⊟($4121$+$1029$)/(≤/$5394$⨪↰⇹$5516$)⪄($4236$⋷$1174$)↬(↽≂$2613$)","expression":"(⊺⇮5085⪒⊺⇮5238)⨽⊺⇮1887⨎⊺⇮6843⨵⪆(⊺⇮4450⨎⊺⇮2876)∑⇟⊟(⊺⇮4121+⊺⇮1029)/(≤/⊺⇮5394⨪↰⇹⊺⇮5516)⪄(⊺⇮4236⋷⊺⇮1174)↬(↽≂⊺⇮2613)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":15835,"operation_count":14,"complexity_ratio":1131.0714285714287,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":5085,"base":10},"right_expr":{"type":"numeric_atoms","value":5238,"base":10}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1887,"base":10},"right_expr":{"type":"numeric_atoms","value":6843,"base":10}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4450,"base":10},"right_expr":{"type":"numeric_atoms","value":2876,"base":10}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":4121,"base":10},"right_expr":{"type":"numeric_atoms","value":1029,"base":10}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":5394,"base":10},"right_expr":{"type":"numeric_atoms","value":5516,"base":10}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":4236,"base":10},"right_expr":{"type":"numeric_atoms","value":1174,"base":10}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2613,"base":10}}}}},"used_operators":["XhwjNDsVaA","2DQ55sFlQl","8HhzD0ZcuI","f6k1SAg4EE","rJVOvQCfKK","U7g4x0WXJJ","W4YGzv6Whe","SUmda5xLS4","eLAdDNolq6","tmPS8pqC7x","B5M0gjZbta","23Mk6UjR3U","u6S6b8DprG"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","rJVOvQCfKK","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5085","layer":4},{"info":"number node, value=5238","layer":4},{"info":"compute binary expreesion, left_input=5085, right_input=5238, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-10323","layer":3},{"info":"number node, value=1887","layer":4},{"info":"number node, value=6843","layer":4},{"info":"compute binary expreesion, left_input=1887, right_input=6843, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=6843","layer":3},{"info":"compute binary expreesion, left_input=-10323, right_input=6843, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-319712202","layer":2},{"info":"number node, value=4450","layer":4},{"info":"number node, value=2876","layer":4},{"info":"compute binary expreesion, left_input=4450, right_input=2876, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2876","layer":3},{"info":"number node, value=4121","layer":4},{"info":"number node, value=1029","layer":4},{"info":"compute binary expreesion, left_input=4121, right_input=1029, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5150","layer":3},{"info":"compute binary expreesion, left_input=2876, right_input=5150, 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=-319712202, 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=5394","layer":4},{"info":"number node, value=5516","layer":4},{"info":"compute binary expreesion, left_input=5394, right_input=5516, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=5394","layer":3},{"info":"compute unary expreesion, input=5394, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-4910","layer":2},{"info":"number node, value=4236","layer":4},{"info":"number node, value=1174","layer":4},{"info":"compute binary expreesion, left_input=4236, right_input=1174, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-1888","layer":3},{"info":"number node, value=2613","layer":4},{"info":"compute unary expreesion, input=2613, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-5226","layer":3},{"info":"compute binary expreesion, left_input=-1888, right_input=-5226, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=-4910, 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=160, right_input=3979, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮5085⪒⊺⇮5238)⨽⊺⇮1887⨎⊺⇮6843⨵⪆(⊺⇮4450⨎⊺⇮2876)∑⇟⊟(⊺⇮4121+⊺⇮1029)/(≤/⊺⇮5394⨪↰⇹⊺⇮5516)⪄(⊺⇮4236⋷⊺⇮1174)↬(↽≂⊺⇮2613)=⊺⇮0","reverse_text":"⊺⇮0=(⊺⇮5085⪒⊺⇮5238)⨽⊺⇮1887⨎⊺⇮6843⨵⪆(⊺⇮4450⨎⊺⇮2876)∑⇟⊟(⊺⇮4121+⊺⇮1029)/(≤/⊺⇮5394⨪↰⇹⊺⇮5516)⪄(⊺⇮4236⋷⊺⇮1174)↬(↽≂⊺⇮2613)","cot":[{"info":"⊺⇮5085⪒⊺⇮5238=⊺⇮-10323","layer":3},{"info":"⊺⇮1887⨎⊺⇮6843=⊺⇮6843","layer":3},{"info":"⊺⇮-10323⨽⊺⇮6843=⊺⇮-319712202","layer":2},{"info":"⊺⇮4450⨎⊺⇮2876=⊺⇮2876","layer":3},{"info":"⊺⇮4121+⊺⇮1029=⊺⇮5150","layer":3},{"info":"⊺⇮2876∑⇟⊟⊺⇮5150=NaN","layer":2},{"info":"⊺⇮-319712202⨵⪆NaN=⊺⇮160","layer":1},{"info":"⊺⇮5394⨪↰⇹⊺⇮5516=⊺⇮5394","layer":3},{"info":"≤/⊺⇮5394=⊺⇮-4910","layer":2},{"info":"⊺⇮4236⋷⊺⇮1174=⊺⇮-1888","layer":3},{"info":"↽≂⊺⇮2613=⊺⇮-5226","layer":3},{"info":"⊺⇮-1888↬⊺⇮-5226=NaN","layer":2},{"info":"⊺⇮-4910⪄NaN=⊺⇮3979","layer":1},{"info":"⊺⇮160/⊺⇮3979=⊺⇮0","layer":0}]}
{"id":450,"expression_no_base_symbol":"⨞⊢(($6343$⋓$7663$)⨟⋌⩍($6864$⫸⊐$3222$))⨟⋌⩍(⫛⫱⨽($5666$⨎$9593$))","expression":"⨞⊢((⊺⇮6343⋓⊺⇮7663)⨟⋌⩍(⊺⇮6864⫸⊐⊺⇮3222))⨟⋌⩍(⫛⫱⨽(⊺⇮5666⨎⊺⇮9593))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1464,"operation_count":7,"complexity_ratio":209.14285714285714,"tree":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":6343,"base":10},"right_expr":{"type":"numeric_atoms","value":7663,"base":10}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":6864,"base":10},"right_expr":{"type":"numeric_atoms","value":3222,"base":10}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5666,"base":10},"right_expr":{"type":"numeric_atoms","value":9593,"base":10}}}}},"used_operators":["xUOZtlo3hN","rGHVDoGpnC","T2fj7uvVaJ","mqXw5SEYmG","DlLNRPXxWL","rJVOvQCfKK"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rGHVDoGpnC","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6343","layer":4},{"info":"number node, value=7663","layer":4},{"info":"compute binary expreesion, left_input=6343, right_input=7663, op_id = T2fj7uvVaJ binary_op_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=6864","layer":4},{"info":"number node, value=3222","layer":4},{"info":"compute binary expreesion, left_input=6864, right_input=3222, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=12763","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=12763, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=5666","layer":4},{"info":"number node, value=9593","layer":4},{"info":"compute binary expreesion, left_input=5666, right_input=9593, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=9593","layer":3},{"info":"compute unary expreesion, input=9593, 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 = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⨞⊢((⊺⇮6343⋓⊺⇮7663)⨟⋌⩍(⊺⇮6864⫸⊐⊺⇮3222))⨟⋌⩍(⫛⫱⨽(⊺⇮5666⨎⊺⇮9593))=NaN","reverse_text":"NaN=⨞⊢((⊺⇮6343⋓⊺⇮7663)⨟⋌⩍(⊺⇮6864⫸⊐⊺⇮3222))⨟⋌⩍(⫛⫱⨽(⊺⇮5666⨎⊺⇮9593))","cot":[{"info":"⊺⇮6343⋓⊺⇮7663=⊺⇮0","layer":3},{"info":"⊺⇮6864⫸⊐⊺⇮3222=⊺⇮12763","layer":3},{"info":"⊺⇮0⨟⋌⩍⊺⇮12763=NaN","layer":2},{"info":"⊺⇮5666⨎⊺⇮9593=⊺⇮9593","layer":3},{"info":"⫛⫱⨽⊺⇮9593=⊺⇮0","layer":2},{"info":"NaN⨟⋌⩍⊺⇮0=NaN","layer":1},{"info":"⨞⊢NaN=NaN","layer":0}]}
{"id":451,"expression_no_base_symbol":"(($1502$⪐)≦≮≮)⨰(($4938$⊭∹↮)⋳⪒$2430$⇷$1977$)≎⊠⪸((⊥$3369$)≭$3689$⇷$1951$⋷($5527$⇼⇔∾$3447$)⪢(≦∁$1882$))","expression":"((⊺⇮1502⪐)≦≮≮)⨰((⊺⇮4938⊭∹↮)⋳⪒⊺⇮2430⇷⊺⇮1977)≎⊠⪸((⊥⊺⇮3369)≭⊺⇮3689⇷⊺⇮1951⋷(⊺⇮5527⇼⇔∾⊺⇮3447)⪢(≦∁⊺⇮1882))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":87626,"operation_count":14,"complexity_ratio":6259.0,"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":1502,"base":10}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":4938,"base":10}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2430,"base":10},"right_expr":{"type":"numeric_atoms","value":1977,"base":10}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":3369,"base":10}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3689,"base":10},"right_expr":{"type":"numeric_atoms","value":1951,"base":10}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":5527,"base":10},"right_expr":{"type":"numeric_atoms","value":3447,"base":10}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1882,"base":10}}}}},"used_operators":["bJkvcejdHO","eewbuw0ToL","D4vGDi5EA2","eH2TOUuTDT","12rbrZMWeM","xNBdhnnwKq","mp7IySMOzn","23Mk6UjR3U","rxpJgHHUmx","Q3PJZHRvZv","dWAJyo7jo9","tifHPKVTfV","9ICcGScMcE"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","fu6greOZ01","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"⊺⇮67","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1502","layer":4},{"info":"compute unary expreesion, input=1502, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=3004","layer":3},{"info":"compute unary expreesion, input=3004, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-9012","layer":2},{"info":"number node, value=4938","layer":4},{"info":"compute unary expreesion, input=4938, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=9876","layer":3},{"info":"number node, value=2430","layer":4},{"info":"number node, value=1977","layer":4},{"info":"compute binary expreesion, left_input=2430, right_input=1977, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3954","layer":3},{"info":"compute binary expreesion, left_input=9876, right_input=3954, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=15511","layer":2},{"info":"compute binary expreesion, left_input=-9012, right_input=15511, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-24513","layer":1},{"info":"number node, value=3369","layer":4},{"info":"compute unary expreesion, input=3369, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=3689","layer":4},{"info":"number node, value=1951","layer":4},{"info":"compute binary expreesion, left_input=3689, right_input=1951, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3902","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3902, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=5527","layer":4},{"info":"number node, value=3447","layer":4},{"info":"compute binary expreesion, left_input=5527, right_input=3447, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-2080","layer":3},{"info":"number node, value=1882","layer":4},{"info":"compute unary expreesion, input=1882, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1882","layer":3},{"info":"compute binary expreesion, left_input=-2080, right_input=1882, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = 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=-24513, 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":10,"result_base":10,"text":"((⊺⇮1502⪐)≦≮≮)⨰((⊺⇮4938⊭∹↮)⋳⪒⊺⇮2430⇷⊺⇮1977)≎⊠⪸((⊥⊺⇮3369)≭⊺⇮3689⇷⊺⇮1951⋷(⊺⇮5527⇼⇔∾⊺⇮3447)⪢(≦∁⊺⇮1882))=⊺⇮67","reverse_text":"⊺⇮67=((⊺⇮1502⪐)≦≮≮)⨰((⊺⇮4938⊭∹↮)⋳⪒⊺⇮2430⇷⊺⇮1977)≎⊠⪸((⊥⊺⇮3369)≭⊺⇮3689⇷⊺⇮1951⋷(⊺⇮5527⇼⇔∾⊺⇮3447)⪢(≦∁⊺⇮1882))","cot":[{"info":"⊺⇮1502⪐=⊺⇮3004","layer":3},{"info":"⊺⇮3004≦≮≮=⊺⇮-9012","layer":2},{"info":"⊺⇮4938⊭∹↮=⊺⇮9876","layer":3},{"info":"⊺⇮2430⇷⊺⇮1977=⊺⇮3954","layer":3},{"info":"⊺⇮9876⋳⪒⊺⇮3954=⊺⇮15511","layer":2},{"info":"⊺⇮-9012⨰⊺⇮15511=⊺⇮-24513","layer":1},{"info":"⊥⊺⇮3369=NaN","layer":3},{"info":"⊺⇮3689⇷⊺⇮1951=⊺⇮3902","layer":3},{"info":"NaN≭⊺⇮3902=NaN","layer":2},{"info":"⊺⇮5527⇼⇔∾⊺⇮3447=⊺⇮-2080","layer":3},{"info":"≦∁⊺⇮1882=⊺⇮1882","layer":3},{"info":"⊺⇮-2080⪢⊺⇮1882=NaN","layer":2},{"info":"NaN⋷NaN=NaN","layer":1},{"info":"⊺⇮-24513≎⊠⪸NaN=⊺⇮67","layer":0}]}
{"id":452,"expression_no_base_symbol":"((⪝⪂⫅$3439$⇷$1831$)⨵⪆$7062$∑⇟⊟$4055$⊉≛↸$7829$⪢$2167$)⊭↱(((⫓⪴$2432$)⫩⊇)%(⨑⩽⪐($6342$⋷$1593$)))","expression":"((⪝⪂⫅⊺⇮3439⇷⊺⇮1831)⨵⪆⊺⇮7062∑⇟⊟⊺⇮4055⊉≛↸⊺⇮7829⪢⊺⇮2167)⊭↱(((⫓⪴⊺⇮2432)⫩⊇)%(⨑⩽⪐(⊺⇮6342⋷⊺⇮1593)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":68240,"operation_count":12,"complexity_ratio":5686.666666666667,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3439,"base":10},"right_expr":{"type":"numeric_atoms","value":1831,"base":10}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":7062,"base":10},"right_expr":{"type":"numeric_atoms","value":4055,"base":10}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":7829,"base":10},"right_expr":{"type":"numeric_atoms","value":2167,"base":10}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2432,"base":10}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":6342,"base":10},"right_expr":{"type":"numeric_atoms","value":1593,"base":10}}}}},"used_operators":["COABgblf1C","2DQ55sFlQl","XTarYq4gQB","mp7IySMOzn","DZ8iAZOCBD","U7g4x0WXJJ","dWAJyo7jo9","k8jYdgA6NY","BjRHVeLaeN","eLxqMNBOBk","AF7qkfDlqP","23Mk6UjR3U"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","k8jYdgA6NY","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮787","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3439","layer":4},{"info":"number node, value=1831","layer":4},{"info":"compute binary expreesion, left_input=3439, right_input=1831, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3662","layer":3},{"info":"compute unary expreesion, input=3662, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-538314","layer":2},{"info":"number node, value=7062","layer":4},{"info":"number node, value=4055","layer":4},{"info":"compute binary expreesion, left_input=7062, right_input=4055, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=7829","layer":4},{"info":"number node, value=2167","layer":4},{"info":"compute binary expreesion, left_input=7829, right_input=2167, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = 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=-538314, 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=2432","layer":4},{"info":"compute unary expreesion, input=2432, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=5914624","layer":3},{"info":"compute unary expreesion, input=5914624, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-5914582","layer":2},{"info":"number node, value=6342","layer":4},{"info":"number node, value=1593","layer":4},{"info":"compute binary expreesion, left_input=6342, right_input=1593, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-3156","layer":3},{"info":"compute unary expreesion, input=-3156, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=7101","layer":2},{"info":"compute binary expreesion, left_input=-5914582, right_input=7101, op_id = k8jYdgA6NY binary_op_definition= 'None', output=551","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=551, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=787","layer":0}],"base":10,"result_base":10,"text":"((⪝⪂⫅⊺⇮3439⇷⊺⇮1831)⨵⪆⊺⇮7062∑⇟⊟⊺⇮4055⊉≛↸⊺⇮7829⪢⊺⇮2167)⊭↱(((⫓⪴⊺⇮2432)⫩⊇)%(⨑⩽⪐(⊺⇮6342⋷⊺⇮1593)))=⊺⇮787","reverse_text":"⊺⇮787=((⪝⪂⫅⊺⇮3439⇷⊺⇮1831)⨵⪆⊺⇮7062∑⇟⊟⊺⇮4055⊉≛↸⊺⇮7829⪢⊺⇮2167)⊭↱(((⫓⪴⊺⇮2432)⫩⊇)%(⨑⩽⪐(⊺⇮6342⋷⊺⇮1593)))","cot":[{"info":"⊺⇮3439⇷⊺⇮1831=⊺⇮3662","layer":3},{"info":"⪝⪂⫅⊺⇮3662=⊺⇮-538314","layer":2},{"info":"⊺⇮7062∑⇟⊟⊺⇮4055=NaN","layer":3},{"info":"⊺⇮7829⪢⊺⇮2167=NaN","layer":3},{"info":"NaN⊉≛↸NaN=NaN","layer":2},{"info":"⊺⇮-538314⨵⪆NaN=⊺⇮160","layer":1},{"info":"⫓⪴⊺⇮2432=⊺⇮5914624","layer":3},{"info":"⊺⇮5914624⫩⊇=⊺⇮-5914582","layer":2},{"info":"⊺⇮6342⋷⊺⇮1593=⊺⇮-3156","layer":3},{"info":"⨑⩽⪐⊺⇮-3156=⊺⇮7101","layer":2},{"info":"⊺⇮-5914582%⊺⇮7101=⊺⇮551","layer":1},{"info":"⊺⇮160⊭↱⊺⇮551=⊺⇮787","layer":0}]}
{"id":453,"expression_no_base_symbol":"⇁⨣⪵($4272$⨓$8670$-$5573$⨪↰⇹$5988$⨵⪆$2035$⪢$6041$⪘⫢($7830$⫸⊐$5225$))","expression":"⇁⨣⪵(⊺⇮4272⨓⊺⇮8670-⊺⇮5573⨪↰⇹⊺⇮5988⨵⪆⊺⇮2035⪢⊺⇮6041⪘⫢(⊺⇮7830⫸⊐⊺⇮5225))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":20326,"operation_count":8,"complexity_ratio":2540.75,"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":4272,"base":10},"right_expr":{"type":"numeric_atoms","value":8670,"base":10}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":5573,"base":10},"right_expr":{"type":"numeric_atoms","value":5988,"base":10}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2035,"base":10},"right_expr":{"type":"numeric_atoms","value":6041,"base":10}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":7830,"base":10},"right_expr":{"type":"numeric_atoms","value":5225,"base":10}}}}},"used_operators":["inkyxCbjAn","2DQ55sFlQl","rysDP5nf3Z","3ViojmjbAp","tmPS8pqC7x","oacrs7FA3X","dWAJyo7jo9","mqXw5SEYmG"],"dependent_operators":["B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rJVOvQCfKK","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","k8jYdgA6NY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4272","layer":4},{"info":"number node, value=8670","layer":4},{"info":"compute binary expreesion, left_input=4272, right_input=8670, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-8673","layer":3},{"info":"number node, value=5573","layer":4},{"info":"number node, value=5988","layer":4},{"info":"compute binary expreesion, left_input=5573, right_input=5988, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=5573","layer":3},{"info":"compute binary expreesion, left_input=-8673, right_input=5573, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-14246","layer":2},{"info":"number node, value=2035","layer":4},{"info":"number node, value=6041","layer":4},{"info":"compute binary expreesion, left_input=2035, right_input=6041, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=7830","layer":4},{"info":"number node, value=5225","layer":4},{"info":"compute binary expreesion, left_input=7830, right_input=5225, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=20775","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=20775, 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=-14246, 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 = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⇁⨣⪵(⊺⇮4272⨓⊺⇮8670-⊺⇮5573⨪↰⇹⊺⇮5988⨵⪆⊺⇮2035⪢⊺⇮6041⪘⫢(⊺⇮7830⫸⊐⊺⇮5225))=NaN","reverse_text":"NaN=⇁⨣⪵(⊺⇮4272⨓⊺⇮8670-⊺⇮5573⨪↰⇹⊺⇮5988⨵⪆⊺⇮2035⪢⊺⇮6041⪘⫢(⊺⇮7830⫸⊐⊺⇮5225))","cot":[{"info":"⊺⇮4272⨓⊺⇮8670=⊺⇮-8673","layer":3},{"info":"⊺⇮5573⨪↰⇹⊺⇮5988=⊺⇮5573","layer":3},{"info":"⊺⇮-8673-⊺⇮5573=⊺⇮-14246","layer":2},{"info":"⊺⇮2035⪢⊺⇮6041=NaN","layer":3},{"info":"⊺⇮7830⫸⊐⊺⇮5225=⊺⇮20775","layer":3},{"info":"NaN⪘⫢⊺⇮20775=NaN","layer":2},{"info":"⊺⇮-14246⨵⪆NaN=⊺⇮160","layer":1},{"info":"⇁⨣⪵⊺⇮160=NaN","layer":0}]}
{"id":454,"expression_no_base_symbol":"$2518$⋓$3783$+($2046$⊦⊿)⫡⨏($8436$⨽$1768$)∑⇟⊟$3960$⪛$5897$↪⪝","expression":"⊺⇮2518⋓⊺⇮3783+(⊺⇮2046⊦⊿)⫡⨏(⊺⇮8436⨽⊺⇮1768)∑⇟⊟⊺⇮3960⪛⊺⇮5897↪⪝","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":8482,"operation_count":8,"complexity_ratio":1060.25,"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":2518,"base":10},"right_expr":{"type":"numeric_atoms","value":3783,"base":10}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":2046,"base":10}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":8436,"base":10},"right_expr":{"type":"numeric_atoms","value":1768,"base":10}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3960,"base":10},"right_expr":{"type":"numeric_atoms","value":5897,"base":10}}}}},"used_operators":["l07mrZUIn9","QMFrweE19q","W4YGzv6Whe","T2fj7uvVaJ","14qkJME0vr","U7g4x0WXJJ","8HhzD0ZcuI","uFcxV4UQCh"],"dependent_operators":["9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2518","layer":4},{"info":"number node, value=3783","layer":4},{"info":"compute binary expreesion, left_input=2518, right_input=3783, op_id = T2fj7uvVaJ binary_op_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=2046","layer":4},{"info":"compute unary expreesion, input=2046, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-6217","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-6217, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-6217","layer":2},{"info":"number node, value=8436","layer":4},{"info":"number node, value=1768","layer":4},{"info":"compute binary expreesion, left_input=8436, right_input=1768, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-213502278","layer":3},{"info":"number node, value=3960","layer":4},{"info":"number node, value=5897","layer":4},{"info":"compute binary expreesion, left_input=3960, right_input=5897, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3960","layer":3},{"info":"compute binary expreesion, left_input=-213502278, right_input=3960, 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=-6217, 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 = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⊺⇮2518⋓⊺⇮3783+(⊺⇮2046⊦⊿)⫡⨏(⊺⇮8436⨽⊺⇮1768)∑⇟⊟⊺⇮3960⪛⊺⇮5897↪⪝=NaN","reverse_text":"NaN=⊺⇮2518⋓⊺⇮3783+(⊺⇮2046⊦⊿)⫡⨏(⊺⇮8436⨽⊺⇮1768)∑⇟⊟⊺⇮3960⪛⊺⇮5897↪⪝","cot":[{"info":"⊺⇮2518⋓⊺⇮3783=⊺⇮0","layer":3},{"info":"⊺⇮2046⊦⊿=⊺⇮-6217","layer":3},{"info":"⊺⇮0+⊺⇮-6217=⊺⇮-6217","layer":2},{"info":"⊺⇮8436⨽⊺⇮1768=⊺⇮-213502278","layer":3},{"info":"⊺⇮3960⪛⊺⇮5897=⊺⇮3960","layer":3},{"info":"⊺⇮-213502278∑⇟⊟⊺⇮3960=NaN","layer":2},{"info":"⊺⇮-6217⫡⨏NaN=NaN","layer":1},{"info":"NaN↪⪝=NaN","layer":0}]}
{"id":455,"expression_no_base_symbol":"(($2249$-$6791$)⋳⪒($2298$⪄$3600$)≋⫹)⪢(($1056$⫌⩹⨱)⫥∨⫟(⪝⪂⫅$4254$))⨟⋌⩍(($4452$⨐⩸⫘$2523$)⪘⫢($1760$⋷$2046$))","expression":"((⊺⇮2249-⊺⇮6791)⋳⪒(⊺⇮2298⪄⊺⇮3600)≋⫹)⪢((⊺⇮1056⫌⩹⨱)⫥∨⫟(⪝⪂⫅⊺⇮4254))⨟⋌⩍((⊺⇮4452⨐⩸⫘⊺⇮2523)⪘⫢(⊺⇮1760⋷⊺⇮2046))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":432,"operation_count":12,"complexity_ratio":36.0,"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":2249,"base":10},"right_expr":{"type":"numeric_atoms","value":6791,"base":10}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2298,"base":10},"right_expr":{"type":"numeric_atoms","value":3600,"base":10}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1056,"base":10}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":4254,"base":10}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4452,"base":10},"right_expr":{"type":"numeric_atoms","value":2523,"base":10}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1760,"base":10},"right_expr":{"type":"numeric_atoms","value":2046,"base":10}}}}},"used_operators":["dWAJyo7jo9","N41Kp7NANJ","12rbrZMWeM","rysDP5nf3Z","SUmda5xLS4","rGHVDoGpnC","KYD54nUTWz","EBcxylXtPf","XTarYq4gQB","oacrs7FA3X","fu6greOZ01","23Mk6UjR3U"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","Tcnh7f0tEr","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","8w2t5hMYqp","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2249","layer":4},{"info":"number node, value=6791","layer":4},{"info":"compute binary expreesion, left_input=2249, right_input=6791, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-4542","layer":3},{"info":"number node, value=2298","layer":4},{"info":"number node, value=3600","layer":4},{"info":"compute binary expreesion, left_input=2298, right_input=3600, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-350593","layer":3},{"info":"compute binary expreesion, left_input=-4542, right_input=-350593, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=341222","layer":2},{"info":"compute unary expreesion, input=341222, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-682444","layer":1},{"info":"number node, value=1056","layer":4},{"info":"compute unary expreesion, input=1056, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=3513","layer":3},{"info":"number node, value=4254","layer":4},{"info":"compute unary expreesion, input=4254, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-625338","layer":3},{"info":"compute binary expreesion, left_input=3513, right_input=-625338, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=4452","layer":4},{"info":"number node, value=2523","layer":4},{"info":"compute binary expreesion, left_input=4452, right_input=2523, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=1760","layer":4},{"info":"number node, value=2046","layer":4},{"info":"compute binary expreesion, left_input=1760, right_input=2046, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2332","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2332, 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 = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=-682444, 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":10,"result_base":10,"text":"((⊺⇮2249-⊺⇮6791)⋳⪒(⊺⇮2298⪄⊺⇮3600)≋⫹)⪢((⊺⇮1056⫌⩹⨱)⫥∨⫟(⪝⪂⫅⊺⇮4254))⨟⋌⩍((⊺⇮4452⨐⩸⫘⊺⇮2523)⪘⫢(⊺⇮1760⋷⊺⇮2046))=NaN","reverse_text":"NaN=((⊺⇮2249-⊺⇮6791)⋳⪒(⊺⇮2298⪄⊺⇮3600)≋⫹)⪢((⊺⇮1056⫌⩹⨱)⫥∨⫟(⪝⪂⫅⊺⇮4254))⨟⋌⩍((⊺⇮4452⨐⩸⫘⊺⇮2523)⪘⫢(⊺⇮1760⋷⊺⇮2046))","cot":[{"info":"⊺⇮2249-⊺⇮6791=⊺⇮-4542","layer":3},{"info":"⊺⇮2298⪄⊺⇮3600=⊺⇮-350593","layer":3},{"info":"⊺⇮-4542⋳⪒⊺⇮-350593=⊺⇮341222","layer":2},{"info":"⊺⇮341222≋⫹=⊺⇮-682444","layer":1},{"info":"⊺⇮1056⫌⩹⨱=⊺⇮3513","layer":3},{"info":"⪝⪂⫅⊺⇮4254=⊺⇮-625338","layer":3},{"info":"⊺⇮3513⫥∨⫟⊺⇮-625338=NaN","layer":2},{"info":"⊺⇮4452⨐⩸⫘⊺⇮2523=NaN","layer":3},{"info":"⊺⇮1760⋷⊺⇮2046=⊺⇮2332","layer":3},{"info":"NaN⪘⫢⊺⇮2332=NaN","layer":2},{"info":"NaN⨟⋌⩍NaN=NaN","layer":1},{"info":"⊺⇮-682444⪢NaN=NaN","layer":0}]}
{"id":456,"expression_no_base_symbol":"+⊝⨔(↯⪼(⊙↵-($3155$⨎$1953$)))","expression":"+⊝⨔(↯⪼(⊙↵-(⊺⇮3155⨎⊺⇮1953)))","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2051,"operation_count":4,"complexity_ratio":512.75,"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":3155,"base":10},"right_expr":{"type":"numeric_atoms","value":1953,"base":10}}}}},"used_operators":["DhbWaqg5eL","8jW3W4yZS5","oWn0xqSxBt","rJVOvQCfKK"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⊺⇮1522","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3155","layer":4},{"info":"number node, value=1953","layer":4},{"info":"compute binary expreesion, left_input=3155, right_input=1953, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1953","layer":3},{"info":"compute unary expreesion, input=1953, 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 = 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 = 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":10,"result_base":10,"text":"+⊝⨔(↯⪼(⊙↵-(⊺⇮3155⨎⊺⇮1953)))=⊺⇮1522","reverse_text":"⊺⇮1522=+⊝⨔(↯⪼(⊙↵-(⊺⇮3155⨎⊺⇮1953)))","cot":[{"info":"⊺⇮3155⨎⊺⇮1953=⊺⇮1953","layer":3},{"info":"⊙↵-⊺⇮1953=⊺⇮-1","layer":2},{"info":"↯⪼⊺⇮-1=⊺⇮-21","layer":1},{"info":"+⊝⨔⊺⇮-21=⊺⇮1522","layer":0}]}
{"id":457,"expression_no_base_symbol":"(($1695$⨵⪆$1237$)↙($4420$⨵⪆$3947$)⪐)⪨≂(≉$1216$⩚⊴⇥$2405$)∀⇚≩(($1489$⊦⊿)⪨≂$6965$∲⫓$5100$)","expression":"((⊺⇮1695⨵⪆⊺⇮1237)↙(⊺⇮4420⨵⪆⊺⇮3947)⪐)⪨≂(≉⊺⇮1216⩚⊴⇥⊺⇮2405)∀⇚≩((⊺⇮1489⊦⊿)⪨≂⊺⇮6965∲⫓⊺⇮5100)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":26383,"operation_count":11,"complexity_ratio":2398.4545454545455,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1695,"base":10},"right_expr":{"type":"numeric_atoms","value":1237,"base":10}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":4420,"base":10},"right_expr":{"type":"numeric_atoms","value":3947,"base":10}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1216,"base":10},"right_expr":{"type":"numeric_atoms","value":2405,"base":10}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1489,"base":10}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":6965,"base":10},"right_expr":{"type":"numeric_atoms","value":5100,"base":10}}}}},"used_operators":["sdazOOVcIp","eH2TOUuTDT","yyfyN0ffXY","2DQ55sFlQl","LRNGc0VcxI","e1ybzncUwg","NTOWxs364D","14qkJME0vr","i8ToyICDmI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1695","layer":4},{"info":"number node, value=1237","layer":4},{"info":"compute binary expreesion, left_input=1695, right_input=1237, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=4420","layer":4},{"info":"number node, value=3947","layer":4},{"info":"compute binary expreesion, left_input=4420, right_input=3947, 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=160, right_input=160, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-480","layer":2},{"info":"compute unary expreesion, input=-480, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=-960","layer":1},{"info":"number node, value=1216","layer":4},{"info":"number node, value=2405","layer":4},{"info":"compute binary expreesion, left_input=1216, right_input=2405, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3742","layer":3},{"info":"compute unary expreesion, input=-3742, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-3742","layer":2},{"info":"number node, value=1489","layer":4},{"info":"compute unary expreesion, input=1489, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-4546","layer":3},{"info":"number node, value=6965","layer":4},{"info":"number node, value=5100","layer":4},{"info":"compute binary expreesion, left_input=6965, right_input=5100, 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=-4546, 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=-8990","layer":2},{"info":"compute binary expreesion, left_input=-3742, right_input=-8990, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=-960, 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":10,"result_base":10,"text":"((⊺⇮1695⨵⪆⊺⇮1237)↙(⊺⇮4420⨵⪆⊺⇮3947)⪐)⪨≂(≉⊺⇮1216⩚⊴⇥⊺⇮2405)∀⇚≩((⊺⇮1489⊦⊿)⪨≂⊺⇮6965∲⫓⊺⇮5100)=NaN","reverse_text":"NaN=((⊺⇮1695⨵⪆⊺⇮1237)↙(⊺⇮4420⨵⪆⊺⇮3947)⪐)⪨≂(≉⊺⇮1216⩚⊴⇥⊺⇮2405)∀⇚≩((⊺⇮1489⊦⊿)⪨≂⊺⇮6965∲⫓⊺⇮5100)","cot":[{"info":"⊺⇮1695⨵⪆⊺⇮1237=⊺⇮160","layer":3},{"info":"⊺⇮4420⨵⪆⊺⇮3947=⊺⇮160","layer":3},{"info":"⊺⇮160↙⊺⇮160=⊺⇮-480","layer":2},{"info":"⊺⇮-480⪐=⊺⇮-960","layer":1},{"info":"⊺⇮1216⩚⊴⇥⊺⇮2405=⊺⇮-3742","layer":3},{"info":"≉⊺⇮-3742=⊺⇮-3742","layer":2},{"info":"⊺⇮1489⊦⊿=⊺⇮-4546","layer":3},{"info":"⊺⇮6965∲⫓⊺⇮5100=⊺⇮0","layer":3},{"info":"⊺⇮-4546⪨≂⊺⇮0=⊺⇮-8990","layer":2},{"info":"⊺⇮-3742∀⇚≩⊺⇮-8990=NaN","layer":1},{"info":"⊺⇮-960⪨≂NaN=NaN","layer":0}]}
{"id":458,"expression_no_base_symbol":"(($1522$⫥∨⫟$2478$)∑⇟⊟($6473$⨳⩥⨓$1017$))≹⇙⪍($6499$+⇶⊼$1220$⨎$7289$⋝⋈⪟$4242$)↬((≤/($3408$/$1075$))⨸⪁(($1554$∧)⊭↱$1372$⪛$4756$))","expression":"((⊺⇮1522⫥∨⫟⊺⇮2478)∑⇟⊟(⊺⇮6473⨳⩥⨓⊺⇮1017))≹⇙⪍(⊺⇮6499+⇶⊼⊺⇮1220⨎⊺⇮7289⋝⋈⪟⊺⇮4242)↬((≤/(⊺⇮3408/⊺⇮1075))⨸⪁((⊺⇮1554∧)⊭↱⊺⇮1372⪛⊺⇮4756))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":188,"operation_count":14,"complexity_ratio":13.428571428571429,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1522,"base":10},"right_expr":{"type":"numeric_atoms","value":2478,"base":10}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":6473,"base":10},"right_expr":{"type":"numeric_atoms","value":1017,"base":10}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":6499,"base":10},"right_expr":{"type":"numeric_atoms","value":1220,"base":10}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":7289,"base":10},"right_expr":{"type":"numeric_atoms","value":4242,"base":10}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3408,"base":10},"right_expr":{"type":"numeric_atoms","value":1075,"base":10}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1554,"base":10}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1372,"base":10},"right_expr":{"type":"numeric_atoms","value":4756,"base":10}}}}},"used_operators":["B5M0gjZbta","AHs5Up7iyr","U7g4x0WXJJ","KYD54nUTWz","nCS4ZIUYfx","rJVOvQCfKK","TpPTUOHfaN","2DDjHMKMc0","g55IO6H4Gj","eLAdDNolq6","XhwjNDsVaA","COABgblf1C","z63VuFQld9","uFcxV4UQCh"],"dependent_operators":["rGHVDoGpnC","dWAJyo7jo9","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1522","layer":4},{"info":"number node, value=2478","layer":4},{"info":"compute binary expreesion, left_input=1522, right_input=2478, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=6473","layer":4},{"info":"number node, value=1017","layer":4},{"info":"compute binary expreesion, left_input=6473, right_input=1017, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-5456","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5456, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=6499","layer":4},{"info":"number node, value=1220","layer":4},{"info":"compute binary expreesion, left_input=6499, right_input=1220, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=7289","layer":4},{"info":"number node, value=4242","layer":4},{"info":"compute binary expreesion, left_input=7289, right_input=4242, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=7289","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7289, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=7289","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=7289, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=3408","layer":4},{"info":"number node, value=1075","layer":4},{"info":"compute binary expreesion, left_input=3408, right_input=1075, op_id = XhwjNDsVaA binary_op_definition= 'None', output=3","layer":3},{"info":"compute unary expreesion, input=3, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=481","layer":2},{"info":"number node, value=1554","layer":4},{"info":"compute unary expreesion, input=1554, 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=1372","layer":4},{"info":"number node, value=4756","layer":4},{"info":"compute binary expreesion, left_input=1372, right_input=4756, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1372","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1372, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=481, 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 = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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":10,"result_base":10,"text":"((⊺⇮1522⫥∨⫟⊺⇮2478)∑⇟⊟(⊺⇮6473⨳⩥⨓⊺⇮1017))≹⇙⪍(⊺⇮6499+⇶⊼⊺⇮1220⨎⊺⇮7289⋝⋈⪟⊺⇮4242)↬((≤/(⊺⇮3408/⊺⇮1075))⨸⪁((⊺⇮1554∧)⊭↱⊺⇮1372⪛⊺⇮4756))=NaN","reverse_text":"NaN=((⊺⇮1522⫥∨⫟⊺⇮2478)∑⇟⊟(⊺⇮6473⨳⩥⨓⊺⇮1017))≹⇙⪍(⊺⇮6499+⇶⊼⊺⇮1220⨎⊺⇮7289⋝⋈⪟⊺⇮4242)↬((≤/(⊺⇮3408/⊺⇮1075))⨸⪁((⊺⇮1554∧)⊭↱⊺⇮1372⪛⊺⇮4756))","cot":[{"info":"⊺⇮1522⫥∨⫟⊺⇮2478=NaN","layer":3},{"info":"⊺⇮6473⨳⩥⨓⊺⇮1017=⊺⇮-5456","layer":3},{"info":"NaN∑⇟⊟⊺⇮-5456=NaN","layer":2},{"info":"⊺⇮6499+⇶⊼⊺⇮1220=NaN","layer":3},{"info":"⊺⇮7289⋝⋈⪟⊺⇮4242=⊺⇮7289","layer":3},{"info":"NaN⨎⊺⇮7289=⊺⇮7289","layer":2},{"info":"NaN≹⇙⪍⊺⇮7289=NaN","layer":1},{"info":"⊺⇮3408/⊺⇮1075=⊺⇮3","layer":3},{"info":"≤/⊺⇮3=⊺⇮481","layer":2},{"info":"⊺⇮1554∧=NaN","layer":3},{"info":"⊺⇮1372⪛⊺⇮4756=⊺⇮1372","layer":3},{"info":"NaN⊭↱⊺⇮1372=NaN","layer":2},{"info":"⊺⇮481⨸⪁NaN=NaN","layer":1},{"info":"NaN↬NaN=NaN","layer":0}]}
{"id":459,"expression_no_base_symbol":"($1195$⊪)⩚⊴⇥($3709$⋥≓≎$1279$)⫥∨⫟($1077$≣⋋)∀⇚≩($6823$⩤)⊉≛↸($1127$⫡⨏$1762$)≭$1518$⨟⋌⩍$1738$⪄(⊄⩳↩($4192$+⇶⊼$6511$))","expression":"(⊺⇮1195⊪)⩚⊴⇥(⊺⇮3709⋥≓≎⊺⇮1279)⫥∨⫟(⊺⇮1077≣⋋)∀⇚≩(⊺⇮6823⩤)⊉≛↸(⊺⇮1127⫡⨏⊺⇮1762)≭⊺⇮1518⨟⋌⩍⊺⇮1738⪄(⊄⩳↩(⊺⇮4192+⇶⊼⊺⇮6511))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":746,"operation_count":14,"complexity_ratio":53.285714285714285,"tree":{"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":10}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3709,"base":10},"right_expr":{"type":"numeric_atoms","value":1279,"base":10}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":1077,"base":10}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":6823,"base":10}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1127,"base":10},"right_expr":{"type":"numeric_atoms","value":1762,"base":10}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1518,"base":10},"right_expr":{"type":"numeric_atoms","value":1738,"base":10}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4192,"base":10},"right_expr":{"type":"numeric_atoms","value":6511,"base":10}}}}},"used_operators":["DZ8iAZOCBD","KYD54nUTWz","NTOWxs364D","zVYPLywUTj","Qy55tPpLXF","LRNGc0VcxI","Tcnh7f0tEr","Z2TMIBDE3Q","SUmda5xLS4","rxpJgHHUmx","QMFrweE19q","rGHVDoGpnC","8w2t5hMYqp","TpPTUOHfaN"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1195","layer":4},{"info":"compute unary expreesion, input=1195, 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=3709","layer":4},{"info":"number node, value=1279","layer":4},{"info":"compute binary expreesion, left_input=3709, right_input=1279, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1118","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1118, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=997","layer":2},{"info":"number node, value=1077","layer":4},{"info":"compute unary expreesion, input=1077, 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=6823","layer":4},{"info":"compute unary expreesion, input=6823, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-6823","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-6823, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=-6823","layer":2},{"info":"compute binary expreesion, left_input=997, right_input=-6823, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1127","layer":4},{"info":"number node, value=1762","layer":4},{"info":"compute binary expreesion, left_input=1127, right_input=1762, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=9942","layer":3},{"info":"number node, value=1518","layer":4},{"info":"number node, value=1738","layer":4},{"info":"compute binary expreesion, left_input=1518, right_input=1738, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=9942, 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=4192","layer":4},{"info":"number node, value=6511","layer":4},{"info":"compute binary expreesion, left_input=4192, right_input=6511, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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 = 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 = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1195⊪)⩚⊴⇥(⊺⇮3709⋥≓≎⊺⇮1279)⫥∨⫟(⊺⇮1077≣⋋)∀⇚≩(⊺⇮6823⩤)⊉≛↸(⊺⇮1127⫡⨏⊺⇮1762)≭⊺⇮1518⨟⋌⩍⊺⇮1738⪄(⊄⩳↩(⊺⇮4192+⇶⊼⊺⇮6511))=NaN","reverse_text":"NaN=(⊺⇮1195⊪)⩚⊴⇥(⊺⇮3709⋥≓≎⊺⇮1279)⫥∨⫟(⊺⇮1077≣⋋)∀⇚≩(⊺⇮6823⩤)⊉≛↸(⊺⇮1127⫡⨏⊺⇮1762)≭⊺⇮1518⨟⋌⩍⊺⇮1738⪄(⊄⩳↩(⊺⇮4192+⇶⊼⊺⇮6511))","cot":[{"info":"⊺⇮1195⊪=⊺⇮0","layer":3},{"info":"⊺⇮3709⋥≓≎⊺⇮1279=⊺⇮-1118","layer":3},{"info":"⊺⇮0⩚⊴⇥⊺⇮-1118=⊺⇮997","layer":2},{"info":"⊺⇮1077≣⋋=⊺⇮0","layer":3},{"info":"⊺⇮6823⩤=⊺⇮-6823","layer":3},{"info":"⊺⇮0∀⇚≩⊺⇮-6823=⊺⇮-6823","layer":2},{"info":"⊺⇮997⫥∨⫟⊺⇮-6823=NaN","layer":1},{"info":"⊺⇮1127⫡⨏⊺⇮1762=⊺⇮9942","layer":3},{"info":"⊺⇮1518⨟⋌⩍⊺⇮1738=NaN","layer":3},{"info":"⊺⇮9942≭NaN=NaN","layer":2},{"info":"⊺⇮4192+⇶⊼⊺⇮6511=NaN","layer":3},{"info":"⊄⩳↩NaN=NaN","layer":2},{"info":"NaN⪄NaN=⊺⇮3979","layer":1},{"info":"NaN⊉≛↸⊺⇮3979=NaN","layer":0}]}
{"id":460,"expression_no_base_symbol":"($1345$∲⫓$1831$⨵⪆$2299$⊭↱$8550$)⨟⋌⩍($1592$↬$4947$)⊴($4837$⨪↰⇹$2183$)⊦⊿","expression":"(⊺⇮1345∲⫓⊺⇮1831⨵⪆⊺⇮2299⊭↱⊺⇮8550)⨟⋌⩍(⊺⇮1592↬⊺⇮4947)⊴(⊺⇮4837⨪↰⇹⊺⇮2183)⊦⊿","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":9697,"operation_count":8,"complexity_ratio":1212.125,"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":1345,"base":10},"right_expr":{"type":"numeric_atoms","value":1831,"base":10}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2299,"base":10},"right_expr":{"type":"numeric_atoms","value":8550,"base":10}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1592,"base":10},"right_expr":{"type":"numeric_atoms","value":4947,"base":10}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4837,"base":10},"right_expr":{"type":"numeric_atoms","value":2183,"base":10}}}}},"used_operators":["14qkJME0vr","rGHVDoGpnC","2DQ55sFlQl","i8ToyICDmI","COABgblf1C","Nsiff2A1zJ","B5M0gjZbta","tmPS8pqC7x"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rGHVDoGpnC","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1345","layer":4},{"info":"number node, value=1831","layer":4},{"info":"compute binary expreesion, left_input=1345, right_input=1831, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=2299","layer":4},{"info":"number node, value=8550","layer":4},{"info":"compute binary expreesion, left_input=2299, right_input=8550, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=12507","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=12507, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=1592","layer":4},{"info":"number node, value=4947","layer":4},{"info":"compute binary expreesion, left_input=1592, right_input=4947, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=4837","layer":4},{"info":"number node, value=2183","layer":4},{"info":"compute binary expreesion, left_input=4837, right_input=2183, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=4837","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4837, 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 = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1345∲⫓⊺⇮1831⨵⪆⊺⇮2299⊭↱⊺⇮8550)⨟⋌⩍(⊺⇮1592↬⊺⇮4947)⊴(⊺⇮4837⨪↰⇹⊺⇮2183)⊦⊿=NaN","reverse_text":"NaN=(⊺⇮1345∲⫓⊺⇮1831⨵⪆⊺⇮2299⊭↱⊺⇮8550)⨟⋌⩍(⊺⇮1592↬⊺⇮4947)⊴(⊺⇮4837⨪↰⇹⊺⇮2183)⊦⊿","cot":[{"info":"⊺⇮1345∲⫓⊺⇮1831=⊺⇮0","layer":3},{"info":"⊺⇮2299⊭↱⊺⇮8550=⊺⇮12507","layer":3},{"info":"⊺⇮0⨵⪆⊺⇮12507=⊺⇮160","layer":2},{"info":"⊺⇮1592↬⊺⇮4947=NaN","layer":3},{"info":"⊺⇮4837⨪↰⇹⊺⇮2183=⊺⇮4837","layer":3},{"info":"NaN⊴⊺⇮4837=NaN","layer":2},{"info":"⊺⇮160⨟⋌⩍NaN=NaN","layer":1},{"info":"NaN⊦⊿=NaN","layer":0}]}
{"id":461,"expression_no_base_symbol":"≤/(⨵≀≌((-$8723$)-($3029$↛⩡⫤)))","expression":"≤/(⨵≀≌((-⊺⇮8723)-(⊺⇮3029↛⩡⫤)))","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9227,"operation_count":5,"complexity_ratio":1845.4,"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":8723,"base":10}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":3029,"base":10}}}}},"used_operators":["eLAdDNolq6","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","FU0Cs4j7VP"],"dependent_operators":["rysDP5nf3Z","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X"],"result":"⊺⇮1334719","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=8723","layer":4},{"info":"compute unary expreesion, input=8723, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-8723","layer":3},{"info":"number node, value=3029","layer":4},{"info":"compute unary expreesion, input=3029, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-453468","layer":3},{"info":"compute binary expreesion, left_input=-8723, right_input=-453468, op_id = rysDP5nf3Z binary_op_definition= 'None', output=444745","layer":2},{"info":"compute unary expreesion, input=444745, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-1334235","layer":1},{"info":"compute unary expreesion, input=-1334235, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=1334719","layer":0}],"base":10,"result_base":10,"text":"≤/(⨵≀≌((-⊺⇮8723)-(⊺⇮3029↛⩡⫤)))=⊺⇮1334719","reverse_text":"⊺⇮1334719=≤/(⨵≀≌((-⊺⇮8723)-(⊺⇮3029↛⩡⫤)))","cot":[{"info":"-⊺⇮8723=⊺⇮-8723","layer":3},{"info":"⊺⇮3029↛⩡⫤=⊺⇮-453468","layer":3},{"info":"⊺⇮-8723-⊺⇮-453468=⊺⇮444745","layer":2},{"info":"⨵≀≌⊺⇮444745=⊺⇮-1334235","layer":1},{"info":"≤/⊺⇮-1334235=⊺⇮1334719","layer":0}]}
{"id":462,"expression_no_base_symbol":"((($3566$+$2280$)⨸⪁(⇁⨣⪵$3667$))⫸⊐((⊄⩳↩$1230$)⩨($3310$+$7100$)))⫥∨⫟((⪲⇎$4818$)⇼⇔∾($2973$∸))⇷(⇁⨣⪵$2790$⪘⫢$1232$)","expression":"(((⊺⇮3566+⊺⇮2280)⨸⪁(⇁⨣⪵⊺⇮3667))⫸⊐((⊄⩳↩⊺⇮1230)⩨(⊺⇮3310+⊺⇮7100)))⫥∨⫟((⪲⇎⊺⇮4818)⇼⇔∾(⊺⇮2973∸))⇷(⇁⨣⪵⊺⇮2790⪘⫢⊺⇮1232)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":132801,"operation_count":14,"complexity_ratio":9485.785714285714,"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":3566,"base":10},"right_expr":{"type":"numeric_atoms","value":2280,"base":10}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":3667,"base":10}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1230,"base":10}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3310,"base":10},"right_expr":{"type":"numeric_atoms","value":7100,"base":10}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":4818,"base":10}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":2973,"base":10}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2790,"base":10},"right_expr":{"type":"numeric_atoms","value":1232,"base":10}}}}},"used_operators":["KYD54nUTWz","mqXw5SEYmG","g55IO6H4Gj","W4YGzv6Whe","inkyxCbjAn","2DlMacCsIx","8w2t5hMYqp","mp7IySMOzn","tifHPKVTfV","XPYlsWDdGa","o20kRiQErp","oacrs7FA3X"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","B5M0gjZbta","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3566","layer":4},{"info":"number node, value=2280","layer":4},{"info":"compute binary expreesion, left_input=3566, right_input=2280, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5846","layer":3},{"info":"number node, value=3667","layer":4},{"info":"compute unary expreesion, input=3667, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5846, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"number node, value=1230","layer":4},{"info":"compute unary expreesion, input=1230, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3690","layer":3},{"info":"number node, value=3310","layer":4},{"info":"number node, value=7100","layer":4},{"info":"compute binary expreesion, left_input=3310, right_input=7100, op_id = W4YGzv6Whe binary_op_definition= 'None', output=10410","layer":3},{"info":"compute binary expreesion, left_input=-3690, right_input=10410, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=9","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=9, op_id = 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=4818","layer":4},{"info":"compute unary expreesion, input=4818, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=9636","layer":3},{"info":"number node, value=2973","layer":4},{"info":"compute unary expreesion, input=2973, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=9636, right_input=177, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-9459","layer":2},{"info":"number node, value=2790","layer":4},{"info":"number node, value=1232","layer":4},{"info":"compute binary expreesion, left_input=2790, right_input=1232, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5456","layer":3},{"info":"compute unary expreesion, input=5456, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-9459, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮3566+⊺⇮2280)⨸⪁(⇁⨣⪵⊺⇮3667))⫸⊐((⊄⩳↩⊺⇮1230)⩨(⊺⇮3310+⊺⇮7100)))⫥∨⫟((⪲⇎⊺⇮4818)⇼⇔∾(⊺⇮2973∸))⇷(⇁⨣⪵⊺⇮2790⪘⫢⊺⇮1232)=NaN","reverse_text":"NaN=(((⊺⇮3566+⊺⇮2280)⨸⪁(⇁⨣⪵⊺⇮3667))⫸⊐((⊄⩳↩⊺⇮1230)⩨(⊺⇮3310+⊺⇮7100)))⫥∨⫟((⪲⇎⊺⇮4818)⇼⇔∾(⊺⇮2973∸))⇷(⇁⨣⪵⊺⇮2790⪘⫢⊺⇮1232)","cot":[{"info":"⊺⇮3566+⊺⇮2280=⊺⇮5846","layer":3},{"info":"⇁⨣⪵⊺⇮3667=NaN","layer":3},{"info":"⊺⇮5846⨸⪁NaN=NaN","layer":2},{"info":"⊄⩳↩⊺⇮1230=⊺⇮-3690","layer":3},{"info":"⊺⇮3310+⊺⇮7100=⊺⇮10410","layer":3},{"info":"⊺⇮-3690⩨⊺⇮10410=⊺⇮9","layer":2},{"info":"NaN⫸⊐⊺⇮9=NaN","layer":1},{"info":"⪲⇎⊺⇮4818=⊺⇮9636","layer":3},{"info":"⊺⇮2973∸=⊺⇮177","layer":3},{"info":"⊺⇮9636⇼⇔∾⊺⇮177=⊺⇮-9459","layer":2},{"info":"⊺⇮2790⪘⫢⊺⇮1232=⊺⇮5456","layer":3},{"info":"⇁⨣⪵⊺⇮5456=NaN","layer":2},{"info":"⊺⇮-9459⇷NaN=NaN","layer":1},{"info":"NaN⫥∨⫟NaN=NaN","layer":0}]}
{"id":463,"expression_no_base_symbol":"((-$5540$)+⇶⊼($1536$⩨$3210$)⪒(∂$1215$)≹⇙⪍($1279$⪮%⊝$6165$))⋳⪒($3203$⇷$4514$)⨪↰⇹($1126$*$6768$)≎⊠⪸($2437$⨽$1658$)∑⇟⊟(⪲⇎$1495$)","expression":"((-⊺⇮5540)+⇶⊼(⊺⇮1536⩨⊺⇮3210)⪒(∂⊺⇮1215)≹⇙⪍(⊺⇮1279⪮%⊝⊺⇮6165))⋳⪒(⊺⇮3203⇷⊺⇮4514)⨪↰⇹(⊺⇮1126*⊺⇮6768)≎⊠⪸(⊺⇮2437⨽⊺⇮1658)∑⇟⊟(⪲⇎⊺⇮1495)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":61221,"operation_count":15,"complexity_ratio":4081.4,"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":5540,"base":10}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1536,"base":10},"right_expr":{"type":"numeric_atoms","value":3210,"base":10}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1215,"base":10}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1279,"base":10},"right_expr":{"type":"numeric_atoms","value":6165,"base":10}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3203,"base":10},"right_expr":{"type":"numeric_atoms","value":4514,"base":10}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1126,"base":10},"right_expr":{"type":"numeric_atoms","value":6768,"base":10}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2437,"base":10},"right_expr":{"type":"numeric_atoms","value":1658,"base":10}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1495,"base":10}}}}},"used_operators":["12rbrZMWeM","f6k1SAg4EE","TpPTUOHfaN","t8gj7n24qd","2DlMacCsIx","AHs5Up7iyr","Uaa54Peajs","IWmyXbctLI","bJkvcejdHO","tmPS8pqC7x","mp7IySMOzn","9HNa5Wba9A","U7g4x0WXJJ","8HhzD0ZcuI","XPYlsWDdGa"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rJVOvQCfKK","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5540","layer":4},{"info":"compute unary expreesion, input=5540, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-5540","layer":3},{"info":"number node, value=1536","layer":4},{"info":"number node, value=3210","layer":4},{"info":"compute binary expreesion, left_input=1536, right_input=3210, 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=-5540, right_input=-6, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=1215","layer":4},{"info":"compute unary expreesion, input=1215, 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=1279","layer":4},{"info":"number node, value=6165","layer":4},{"info":"compute binary expreesion, left_input=1279, right_input=6165, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2874","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2874, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=3203","layer":4},{"info":"number node, value=4514","layer":4},{"info":"compute binary expreesion, left_input=3203, right_input=4514, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=9028","layer":3},{"info":"number node, value=1126","layer":4},{"info":"number node, value=6768","layer":4},{"info":"compute binary expreesion, left_input=1126, right_input=6768, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=7620768","layer":3},{"info":"compute binary expreesion, left_input=9028, right_input=7620768, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=9028","layer":2},{"info":"number node, value=2437","layer":4},{"info":"number node, value=1658","layer":4},{"info":"compute binary expreesion, left_input=2437, right_input=1658, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-17820567","layer":3},{"info":"number node, value=1495","layer":4},{"info":"compute unary expreesion, input=1495, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2990","layer":3},{"info":"compute binary expreesion, left_input=-17820567, right_input=2990, 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=9028, 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 = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((-⊺⇮5540)+⇶⊼(⊺⇮1536⩨⊺⇮3210)⪒(∂⊺⇮1215)≹⇙⪍(⊺⇮1279⪮%⊝⊺⇮6165))⋳⪒(⊺⇮3203⇷⊺⇮4514)⨪↰⇹(⊺⇮1126*⊺⇮6768)≎⊠⪸(⊺⇮2437⨽⊺⇮1658)∑⇟⊟(⪲⇎⊺⇮1495)=NaN","reverse_text":"NaN=((-⊺⇮5540)+⇶⊼(⊺⇮1536⩨⊺⇮3210)⪒(∂⊺⇮1215)≹⇙⪍(⊺⇮1279⪮%⊝⊺⇮6165))⋳⪒(⊺⇮3203⇷⊺⇮4514)⨪↰⇹(⊺⇮1126*⊺⇮6768)≎⊠⪸(⊺⇮2437⨽⊺⇮1658)∑⇟⊟(⪲⇎⊺⇮1495)","cot":[{"info":"-⊺⇮5540=⊺⇮-5540","layer":3},{"info":"⊺⇮1536⩨⊺⇮3210=⊺⇮-6","layer":3},{"info":"⊺⇮-5540+⇶⊼⊺⇮-6=NaN","layer":2},{"info":"∂⊺⇮1215=NaN","layer":3},{"info":"⊺⇮1279⪮%⊝⊺⇮6165=⊺⇮2874","layer":3},{"info":"NaN≹⇙⪍⊺⇮2874=NaN","layer":2},{"info":"NaN⪒NaN=NaN","layer":1},{"info":"⊺⇮3203⇷⊺⇮4514=⊺⇮9028","layer":3},{"info":"⊺⇮1126*⊺⇮6768=⊺⇮7620768","layer":3},{"info":"⊺⇮9028⨪↰⇹⊺⇮7620768=⊺⇮9028","layer":2},{"info":"⊺⇮2437⨽⊺⇮1658=⊺⇮-17820567","layer":3},{"info":"⪲⇎⊺⇮1495=⊺⇮2990","layer":3},{"info":"⊺⇮-17820567∑⇟⊟⊺⇮2990=NaN","layer":2},{"info":"⊺⇮9028≎⊠⪸NaN=⊺⇮67","layer":1},{"info":"NaN⋳⪒⊺⇮67=NaN","layer":0}]}
{"id":464,"expression_no_base_symbol":"(-$1501$↬$1226$)⋷($3092$⊠≄⫣)⨓$5467$⪘⫢$1170$↪⪝","expression":"(-⊺⇮1501↬⊺⇮1226)⋷(⊺⇮3092⊠≄⫣)⨓⊺⇮5467⪘⫢⊺⇮1170↪⪝","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":10843,"operation_count":7,"complexity_ratio":1549.0,"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":1501,"base":10},"right_expr":{"type":"numeric_atoms","value":1226,"base":10}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":3092,"base":10}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":5467,"base":10},"right_expr":{"type":"numeric_atoms","value":1170,"base":10}}}}},"used_operators":["l07mrZUIn9","23Mk6UjR3U","t8gj7n24qd","B5M0gjZbta","3ViojmjbAp","DIvbN7qnHd","oacrs7FA3X"],"dependent_operators":["9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1501","layer":4},{"info":"number node, value=1226","layer":4},{"info":"compute binary expreesion, left_input=1501, right_input=1226, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":2},{"info":"number node, value=3092","layer":4},{"info":"compute unary expreesion, input=3092, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=5467","layer":4},{"info":"number node, value=1170","layer":4},{"info":"compute binary expreesion, left_input=5467, right_input=1170, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=10810","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=10810, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-10813","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-10813, 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 = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(-⊺⇮1501↬⊺⇮1226)⋷(⊺⇮3092⊠≄⫣)⨓⊺⇮5467⪘⫢⊺⇮1170↪⪝=NaN","reverse_text":"NaN=(-⊺⇮1501↬⊺⇮1226)⋷(⊺⇮3092⊠≄⫣)⨓⊺⇮5467⪘⫢⊺⇮1170↪⪝","cot":[{"info":"⊺⇮1501↬⊺⇮1226=NaN","layer":3},{"info":"-NaN=NaN","layer":2},{"info":"⊺⇮3092⊠≄⫣=⊺⇮0","layer":3},{"info":"⊺⇮5467⪘⫢⊺⇮1170=⊺⇮10810","layer":3},{"info":"⊺⇮0⨓⊺⇮10810=⊺⇮-10813","layer":2},{"info":"NaN⋷⊺⇮-10813=NaN","layer":1},{"info":"NaN↪⪝=NaN","layer":0}]}
{"id":465,"expression_no_base_symbol":"⪲⇎($1621$∀⇚≩$6149$+(∂$5073$)+(⊥(⊄⩳↩$2069$)))","expression":"⪲⇎(⊺⇮1621∀⇚≩⊺⇮6149+(∂⊺⇮5073)+(⊥(⊄⩳↩⊺⇮2069)))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":11356,"operation_count":7,"complexity_ratio":1622.2857142857142,"tree":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1621,"base":10},"right_expr":{"type":"numeric_atoms","value":6149,"base":10}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":5073,"base":10}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":2069,"base":10}}}}},"used_operators":["XPYlsWDdGa","W4YGzv6Whe","LRNGc0VcxI","Uaa54Peajs","Q3PJZHRvZv","8w2t5hMYqp"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","fu6greOZ01","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1621","layer":4},{"info":"number node, value=6149","layer":4},{"info":"compute binary expreesion, left_input=1621, right_input=6149, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=5073","layer":4},{"info":"compute unary expreesion, input=5073, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=2069","layer":4},{"info":"compute unary expreesion, input=2069, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-6207","layer":3},{"info":"compute unary expreesion, input=-6207, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⪲⇎(⊺⇮1621∀⇚≩⊺⇮6149+(∂⊺⇮5073)+(⊥(⊄⩳↩⊺⇮2069)))=NaN","reverse_text":"NaN=⪲⇎(⊺⇮1621∀⇚≩⊺⇮6149+(∂⊺⇮5073)+(⊥(⊄⩳↩⊺⇮2069)))","cot":[{"info":"⊺⇮1621∀⇚≩⊺⇮6149=NaN","layer":3},{"info":"∂⊺⇮5073=NaN","layer":3},{"info":"NaN+NaN=NaN","layer":2},{"info":"⊄⩳↩⊺⇮2069=⊺⇮-6207","layer":3},{"info":"⊥⊺⇮-6207=NaN","layer":2},{"info":"NaN+NaN=NaN","layer":1},{"info":"⪲⇎NaN=NaN","layer":0}]}
{"id":466,"expression_no_base_symbol":"(⋗⩬⋾(($3282$∸)⨸⪁$1954$⨐⩸⫘$3452$))⩚⊴⇥(⊥$1207$⊴$4132$)⋝⋈⪟($6523$*$4970$⊉≛↸$5743$≎⊠⪸$1755$)","expression":"(⋗⩬⋾((⊺⇮3282∸)⨸⪁⊺⇮1954⨐⩸⫘⊺⇮3452))⩚⊴⇥(⊥⊺⇮1207⊴⊺⇮4132)⋝⋈⪟(⊺⇮6523*⊺⇮4970⊉≛↸⊺⇮5743≎⊠⪸⊺⇮1755)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":9571,"operation_count":11,"complexity_ratio":870.0909090909091,"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":3282,"base":10}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1954,"base":10},"right_expr":{"type":"numeric_atoms","value":3452,"base":10}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1207,"base":10},"right_expr":{"type":"numeric_atoms","value":4132,"base":10}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":6523,"base":10},"right_expr":{"type":"numeric_atoms","value":4970,"base":10}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":5743,"base":10},"right_expr":{"type":"numeric_atoms","value":1755,"base":10}}}}},"used_operators":["NTOWxs364D","DpFCA1CohY","g55IO6H4Gj","o20kRiQErp","fu6greOZ01","2DDjHMKMc0","Q3PJZHRvZv","Nsiff2A1zJ","DZ8iAZOCBD","9HNa5Wba9A","bJkvcejdHO"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","tmPS8pqC7x","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3282","layer":4},{"info":"compute unary expreesion, input=3282, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=1954","layer":4},{"info":"number node, value=3452","layer":4},{"info":"compute binary expreesion, left_input=1954, right_input=3452, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=177, 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 = 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=1207","layer":4},{"info":"number node, value=4132","layer":4},{"info":"compute binary expreesion, left_input=1207, right_input=4132, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"number node, value=6523","layer":4},{"info":"number node, value=4970","layer":4},{"info":"compute binary expreesion, left_input=6523, right_input=4970, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=32419310","layer":3},{"info":"number node, value=5743","layer":4},{"info":"number node, value=1755","layer":4},{"info":"compute binary expreesion, left_input=5743, right_input=1755, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1486964","layer":3},{"info":"compute binary expreesion, left_input=32419310, right_input=1486964, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=64838620","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=64838620, 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 = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⋗⩬⋾((⊺⇮3282∸)⨸⪁⊺⇮1954⨐⩸⫘⊺⇮3452))⩚⊴⇥(⊥⊺⇮1207⊴⊺⇮4132)⋝⋈⪟(⊺⇮6523*⊺⇮4970⊉≛↸⊺⇮5743≎⊠⪸⊺⇮1755)=NaN","reverse_text":"NaN=(⋗⩬⋾((⊺⇮3282∸)⨸⪁⊺⇮1954⨐⩸⫘⊺⇮3452))⩚⊴⇥(⊥⊺⇮1207⊴⊺⇮4132)⋝⋈⪟(⊺⇮6523*⊺⇮4970⊉≛↸⊺⇮5743≎⊠⪸⊺⇮1755)","cot":[{"info":"⊺⇮3282∸=⊺⇮177","layer":3},{"info":"⊺⇮1954⨐⩸⫘⊺⇮3452=NaN","layer":3},{"info":"⊺⇮177⨸⪁NaN=NaN","layer":2},{"info":"⋗⩬⋾NaN=NaN","layer":1},{"info":"⊺⇮1207⊴⊺⇮4132=NaN","layer":3},{"info":"⊥NaN=NaN","layer":2},{"info":"⊺⇮6523*⊺⇮4970=⊺⇮32419310","layer":3},{"info":"⊺⇮5743≎⊠⪸⊺⇮1755=⊺⇮1486964","layer":3},{"info":"⊺⇮32419310⊉≛↸⊺⇮1486964=⊺⇮64838620","layer":2},{"info":"NaN⋝⋈⪟⊺⇮64838620=NaN","layer":1},{"info":"NaN⩚⊴⇥NaN=NaN","layer":0}]}
{"id":467,"expression_no_base_symbol":"$1113$⩚⊴⇥$1110$↺($3355$≦≮≮)-($3847$*$2263$)+⇶⊼($3695$⊭↱$3012$)⫡⨏($5805$+$4029$)↙($1788$⪐)↙($3580$⨸⪁$1130$)⪢($2334$∼$1036$)","expression":"⊺⇮1113⩚⊴⇥⊺⇮1110↺(⊺⇮3355≦≮≮)-(⊺⇮3847*⊺⇮2263)+⇶⊼(⊺⇮3695⊭↱⊺⇮3012)⫡⨏(⊺⇮5805+⊺⇮4029)↙(⊺⇮1788⪐)↙(⊺⇮3580⨸⪁⊺⇮1130)⪢(⊺⇮2334∼⊺⇮1036)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5920,"operation_count":15,"complexity_ratio":394.6666666666667,"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":1113,"base":10},"right_expr":{"type":"numeric_atoms","value":1110,"base":10}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":3355,"base":10}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3847,"base":10},"right_expr":{"type":"numeric_atoms","value":2263,"base":10}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3695,"base":10},"right_expr":{"type":"numeric_atoms","value":3012,"base":10}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":5805,"base":10},"right_expr":{"type":"numeric_atoms","value":4029,"base":10}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1788,"base":10}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3580,"base":10},"right_expr":{"type":"numeric_atoms","value":1130,"base":10}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2334,"base":10},"right_expr":{"type":"numeric_atoms","value":1036,"base":10}}}}},"used_operators":["QMFrweE19q","rysDP5nf3Z","7j4O788W3g","NTOWxs364D","D4vGDi5EA2","TpPTUOHfaN","9HNa5Wba9A","COABgblf1C","yyfyN0ffXY","W4YGzv6Whe","eH2TOUuTDT","dWAJyo7jo9","g55IO6H4Gj","DyGG3AbaNP"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1113","layer":4},{"info":"number node, value=1110","layer":4},{"info":"compute binary expreesion, left_input=1113, right_input=1110, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2344","layer":3},{"info":"number node, value=3355","layer":4},{"info":"compute unary expreesion, input=3355, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-10065","layer":3},{"info":"compute binary expreesion, left_input=-2344, right_input=-10065, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-10065","layer":2},{"info":"number node, value=3847","layer":4},{"info":"number node, value=2263","layer":4},{"info":"compute binary expreesion, left_input=3847, right_input=2263, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=8705761","layer":3},{"info":"number node, value=3695","layer":4},{"info":"number node, value=3012","layer":4},{"info":"compute binary expreesion, left_input=3695, right_input=3012, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-1361","layer":3},{"info":"compute binary expreesion, left_input=8705761, right_input=-1361, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=-10065, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=5805","layer":4},{"info":"number node, value=4029","layer":4},{"info":"compute binary expreesion, left_input=5805, right_input=4029, op_id = W4YGzv6Whe binary_op_definition= 'None', output=9834","layer":3},{"info":"number node, value=1788","layer":4},{"info":"compute unary expreesion, input=1788, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=3576","layer":3},{"info":"compute binary expreesion, left_input=9834, right_input=3576, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-10728","layer":2},{"info":"number node, value=3580","layer":4},{"info":"number node, value=1130","layer":4},{"info":"compute binary expreesion, left_input=3580, right_input=1130, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9420","layer":3},{"info":"number node, value=2334","layer":4},{"info":"number node, value=1036","layer":4},{"info":"compute binary expreesion, left_input=2334, right_input=1036, 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=9420, 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=-10728, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-10728","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-10728, op_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":10,"result_base":10,"text":"⊺⇮1113⩚⊴⇥⊺⇮1110↺(⊺⇮3355≦≮≮)-(⊺⇮3847*⊺⇮2263)+⇶⊼(⊺⇮3695⊭↱⊺⇮3012)⫡⨏(⊺⇮5805+⊺⇮4029)↙(⊺⇮1788⪐)↙(⊺⇮3580⨸⪁⊺⇮1130)⪢(⊺⇮2334∼⊺⇮1036)=NaN","reverse_text":"NaN=⊺⇮1113⩚⊴⇥⊺⇮1110↺(⊺⇮3355≦≮≮)-(⊺⇮3847*⊺⇮2263)+⇶⊼(⊺⇮3695⊭↱⊺⇮3012)⫡⨏(⊺⇮5805+⊺⇮4029)↙(⊺⇮1788⪐)↙(⊺⇮3580⨸⪁⊺⇮1130)⪢(⊺⇮2334∼⊺⇮1036)","cot":[{"info":"⊺⇮1113⩚⊴⇥⊺⇮1110=⊺⇮-2344","layer":3},{"info":"⊺⇮3355≦≮≮=⊺⇮-10065","layer":3},{"info":"⊺⇮-2344↺⊺⇮-10065=⊺⇮-10065","layer":2},{"info":"⊺⇮3847*⊺⇮2263=⊺⇮8705761","layer":3},{"info":"⊺⇮3695⊭↱⊺⇮3012=⊺⇮-1361","layer":3},{"info":"⊺⇮8705761+⇶⊼⊺⇮-1361=NaN","layer":2},{"info":"⊺⇮-10065-NaN=NaN","layer":1},{"info":"⊺⇮5805+⊺⇮4029=⊺⇮9834","layer":3},{"info":"⊺⇮1788⪐=⊺⇮3576","layer":3},{"info":"⊺⇮9834↙⊺⇮3576=⊺⇮-10728","layer":2},{"info":"⊺⇮3580⨸⪁⊺⇮1130=⊺⇮9420","layer":3},{"info":"⊺⇮2334∼⊺⇮1036=NaN","layer":3},{"info":"⊺⇮9420⪢NaN=NaN","layer":2},{"info":"⊺⇮-10728↙NaN=⊺⇮-10728","layer":1},{"info":"NaN⫡⨏⊺⇮-10728=NaN","layer":0}]}
{"id":468,"expression_no_base_symbol":"(∂(($7660$⫸⊐$1907$)⊭∹↮))*(≤/($5126$/$5227$))⩚⊴⇥($1262$⊴$8538$⋷$4724$⊴$1701$)","expression":"(∂((⊺⇮7660⫸⊐⊺⇮1907)⊭∹↮))*(≤/(⊺⇮5126/⊺⇮5227))⩚⊴⇥(⊺⇮1262⊴⊺⇮8538⋷⊺⇮4724⊴⊺⇮1701)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":12042,"operation_count":10,"complexity_ratio":1204.2,"tree":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":7660,"base":10},"right_expr":{"type":"numeric_atoms","value":1907,"base":10}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":5126,"base":10},"right_expr":{"type":"numeric_atoms","value":5227,"base":10}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1262,"base":10},"right_expr":{"type":"numeric_atoms","value":8538,"base":10}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4724,"base":10},"right_expr":{"type":"numeric_atoms","value":1701,"base":10}}}}},"used_operators":["9HNa5Wba9A","Uaa54Peajs","xNBdhnnwKq","mqXw5SEYmG","NTOWxs364D","eLAdDNolq6","XhwjNDsVaA","23Mk6UjR3U","Nsiff2A1zJ"],"dependent_operators":["W4YGzv6Whe","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7660","layer":4},{"info":"number node, value=1907","layer":4},{"info":"compute binary expreesion, left_input=7660, right_input=1907, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=7503","layer":3},{"info":"compute unary expreesion, input=7503, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=15006","layer":2},{"info":"compute unary expreesion, input=15006, 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=5126","layer":4},{"info":"number node, value=5227","layer":4},{"info":"compute binary expreesion, left_input=5126, right_input=5227, op_id = XhwjNDsVaA binary_op_definition= 'None', 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=1262","layer":4},{"info":"number node, value=8538","layer":4},{"info":"compute binary expreesion, left_input=1262, right_input=8538, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=4724","layer":4},{"info":"number node, value=1701","layer":4},{"info":"compute binary expreesion, left_input=4724, right_input=1701, 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 = 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=484, 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 = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":10,"result_base":10,"text":"(∂((⊺⇮7660⫸⊐⊺⇮1907)⊭∹↮))*(≤/(⊺⇮5126/⊺⇮5227))⩚⊴⇥(⊺⇮1262⊴⊺⇮8538⋷⊺⇮4724⊴⊺⇮1701)=NaN","reverse_text":"NaN=(∂((⊺⇮7660⫸⊐⊺⇮1907)⊭∹↮))*(≤/(⊺⇮5126/⊺⇮5227))⩚⊴⇥(⊺⇮1262⊴⊺⇮8538⋷⊺⇮4724⊴⊺⇮1701)","cot":[{"info":"⊺⇮7660⫸⊐⊺⇮1907=⊺⇮7503","layer":3},{"info":"⊺⇮7503⊭∹↮=⊺⇮15006","layer":2},{"info":"∂⊺⇮15006=NaN","layer":1},{"info":"⊺⇮5126/⊺⇮5227=⊺⇮0","layer":3},{"info":"≤/⊺⇮0=⊺⇮484","layer":2},{"info":"⊺⇮1262⊴⊺⇮8538=NaN","layer":3},{"info":"⊺⇮4724⊴⊺⇮1701=NaN","layer":3},{"info":"NaN⋷NaN=NaN","layer":2},{"info":"⊺⇮484⩚⊴⇥NaN=NaN","layer":1},{"info":"NaN*NaN=NaN","layer":0}]}
{"id":469,"expression_no_base_symbol":"((($1731$⨵⪆$6241$)⨽($3871$⇼⇔∾$1178$))⫥∨⫟(($3516$⨸⪁$1147$)↺($1751$⩠)))⪮%⊝(($1970$⨁⊸⫻)⋥≓≎(⨵≀≌$3778$)⪒(⪝⪂⫅($1600$⫥∨⫟$3772$)))","expression":"(((⊺⇮1731⨵⪆⊺⇮6241)⨽(⊺⇮3871⇼⇔∾⊺⇮1178))⫥∨⫟((⊺⇮3516⨸⪁⊺⇮1147)↺(⊺⇮1751⩠)))⪮%⊝((⊺⇮1970⨁⊸⫻)⋥≓≎(⨵≀≌⊺⇮3778)⪒(⪝⪂⫅(⊺⇮1600⫥∨⫟⊺⇮3772)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":527,"operation_count":14,"complexity_ratio":37.642857142857146,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1731,"base":10},"right_expr":{"type":"numeric_atoms","value":6241,"base":10}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3871,"base":10},"right_expr":{"type":"numeric_atoms","value":1178,"base":10}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3516,"base":10},"right_expr":{"type":"numeric_atoms","value":1147,"base":10}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1751,"base":10}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1970,"base":10}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":3778,"base":10}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1600,"base":10},"right_expr":{"type":"numeric_atoms","value":3772,"base":10}}}}},"used_operators":["IWmyXbctLI","KYD54nUTWz","8HhzD0ZcuI","2DQ55sFlQl","tifHPKVTfV","7j4O788W3g","g55IO6H4Gj","sJAwomhLZr","f6k1SAg4EE","Qy55tPpLXF","glklzrTFfD","srAu1WTS94","XTarYq4gQB"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","8HhzD0ZcuI","rGHVDoGpnC","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","9HNa5Wba9A","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1731","layer":4},{"info":"number node, value=6241","layer":4},{"info":"compute binary expreesion, left_input=1731, right_input=6241, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=3871","layer":4},{"info":"number node, value=1178","layer":4},{"info":"compute binary expreesion, left_input=3871, right_input=1178, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-2693","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-2693, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-67407","layer":2},{"info":"number node, value=3516","layer":4},{"info":"number node, value=1147","layer":4},{"info":"compute binary expreesion, left_input=3516, right_input=1147, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9326","layer":3},{"info":"number node, value=1751","layer":4},{"info":"compute unary expreesion, input=1751, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=9326, 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=-67407, right_input=0, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1970","layer":4},{"info":"compute unary expreesion, input=1970, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1970","layer":3},{"info":"number node, value=3778","layer":4},{"info":"compute unary expreesion, input=3778, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-11334","layer":3},{"info":"compute binary expreesion, left_input=1970, right_input=-11334, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-24605","layer":2},{"info":"number node, value=1600","layer":4},{"info":"number node, value=3772","layer":4},{"info":"compute binary expreesion, left_input=1600, right_input=3772, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-24605, 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 = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮1731⨵⪆⊺⇮6241)⨽(⊺⇮3871⇼⇔∾⊺⇮1178))⫥∨⫟((⊺⇮3516⨸⪁⊺⇮1147)↺(⊺⇮1751⩠)))⪮%⊝((⊺⇮1970⨁⊸⫻)⋥≓≎(⨵≀≌⊺⇮3778)⪒(⪝⪂⫅(⊺⇮1600⫥∨⫟⊺⇮3772)))=NaN","reverse_text":"NaN=(((⊺⇮1731⨵⪆⊺⇮6241)⨽(⊺⇮3871⇼⇔∾⊺⇮1178))⫥∨⫟((⊺⇮3516⨸⪁⊺⇮1147)↺(⊺⇮1751⩠)))⪮%⊝((⊺⇮1970⨁⊸⫻)⋥≓≎(⨵≀≌⊺⇮3778)⪒(⪝⪂⫅(⊺⇮1600⫥∨⫟⊺⇮3772)))","cot":[{"info":"⊺⇮1731⨵⪆⊺⇮6241=⊺⇮160","layer":3},{"info":"⊺⇮3871⇼⇔∾⊺⇮1178=⊺⇮-2693","layer":3},{"info":"⊺⇮160⨽⊺⇮-2693=⊺⇮-67407","layer":2},{"info":"⊺⇮3516⨸⪁⊺⇮1147=⊺⇮9326","layer":3},{"info":"⊺⇮1751⩠=⊺⇮0","layer":3},{"info":"⊺⇮9326↺⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮-67407⫥∨⫟⊺⇮0=NaN","layer":1},{"info":"⊺⇮1970⨁⊸⫻=⊺⇮1970","layer":3},{"info":"⨵≀≌⊺⇮3778=⊺⇮-11334","layer":3},{"info":"⊺⇮1970⋥≓≎⊺⇮-11334=⊺⇮-24605","layer":2},{"info":"⊺⇮1600⫥∨⫟⊺⇮3772=NaN","layer":3},{"info":"⪝⪂⫅NaN=NaN","layer":2},{"info":"⊺⇮-24605⪒NaN=NaN","layer":1},{"info":"NaN⪮%⊝NaN=NaN","layer":0}]}
{"id":470,"expression_no_base_symbol":"+⊝⨔((($6215$+$2811$)∸)∀⇚≩((⨵≀≌$3031$)∸))","expression":"+⊝⨔(((⊺⇮6215+⊺⇮2811)∸)∀⇚≩((⨵≀≌⊺⇮3031)∸))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1617,"operation_count":6,"complexity_ratio":269.5,"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":6215,"base":10},"right_expr":{"type":"numeric_atoms","value":2811,"base":10}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":3031,"base":10}}}}},"used_operators":["DhbWaqg5eL","LRNGc0VcxI","o20kRiQErp","W4YGzv6Whe","srAu1WTS94"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","X99M06cbEe","tmPS8pqC7x","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"⊺⇮1522","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6215","layer":4},{"info":"number node, value=2811","layer":4},{"info":"compute binary expreesion, left_input=6215, right_input=2811, op_id = W4YGzv6Whe binary_op_definition= 'None', output=9026","layer":3},{"info":"compute unary expreesion, input=9026, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"number node, value=3031","layer":4},{"info":"compute unary expreesion, input=3031, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-9093","layer":3},{"info":"compute unary expreesion, input=-9093, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"compute binary expreesion, left_input=177, right_input=177, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":10,"result_base":10,"text":"+⊝⨔(((⊺⇮6215+⊺⇮2811)∸)∀⇚≩((⨵≀≌⊺⇮3031)∸))=⊺⇮1522","reverse_text":"⊺⇮1522=+⊝⨔(((⊺⇮6215+⊺⇮2811)∸)∀⇚≩((⨵≀≌⊺⇮3031)∸))","cot":[{"info":"⊺⇮6215+⊺⇮2811=⊺⇮9026","layer":3},{"info":"⊺⇮9026∸=⊺⇮177","layer":2},{"info":"⨵≀≌⊺⇮3031=⊺⇮-9093","layer":3},{"info":"⊺⇮-9093∸=⊺⇮177","layer":2},{"info":"⊺⇮177∀⇚≩⊺⇮177=NaN","layer":1},{"info":"+⊝⨔NaN=⊺⇮1522","layer":0}]}
{"id":471,"expression_no_base_symbol":"((⨰⫟⨤($1900$+$3680$))⩠)⪄(⊥(⩦⩻⨪$2645$))⋝⋈⪟($3384$⇷$3491$⩨($2415$⩨$1574$))","expression":"((⨰⫟⨤(⊺⇮1900+⊺⇮3680))⩠)⪄(⊥(⩦⩻⨪⊺⇮2645))⋝⋈⪟(⊺⇮3384⇷⊺⇮3491⩨(⊺⇮2415⩨⊺⇮1574))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":68917,"operation_count":10,"complexity_ratio":6891.7,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1900,"base":10},"right_expr":{"type":"numeric_atoms","value":3680,"base":10}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2645,"base":10}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3384,"base":10},"right_expr":{"type":"numeric_atoms","value":3491,"base":10}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2415,"base":10},"right_expr":{"type":"numeric_atoms","value":1574,"base":10}}}}},"used_operators":["SUmda5xLS4","sJAwomhLZr","Tw270M8GLb","W4YGzv6Whe","2DDjHMKMc0","Q3PJZHRvZv","2td37pGCOC","2DlMacCsIx","mp7IySMOzn"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⊺⇮3979","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=1900","layer":4},{"info":"number node, value=3680","layer":4},{"info":"compute binary expreesion, left_input=1900, right_input=3680, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5580","layer":3},{"info":"compute unary expreesion, input=5580, 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 = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=nan","layer":1},{"info":"number node, value=2645","layer":4},{"info":"compute unary expreesion, input=2645, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2645","layer":3},{"info":"compute unary expreesion, input=2645, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"number node, value=3384","layer":4},{"info":"number node, value=3491","layer":4},{"info":"compute binary expreesion, left_input=3384, right_input=3491, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6982","layer":3},{"info":"number node, value=2415","layer":4},{"info":"number node, value=1574","layer":4},{"info":"compute binary expreesion, left_input=2415, right_input=1574, 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=6982, 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=nan, right_input=0, 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 = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":10,"result_base":10,"text":"((⨰⫟⨤(⊺⇮1900+⊺⇮3680))⩠)⪄(⊥(⩦⩻⨪⊺⇮2645))⋝⋈⪟(⊺⇮3384⇷⊺⇮3491⩨(⊺⇮2415⩨⊺⇮1574))=⊺⇮3979","reverse_text":"⊺⇮3979=((⨰⫟⨤(⊺⇮1900+⊺⇮3680))⩠)⪄(⊥(⩦⩻⨪⊺⇮2645))⋝⋈⪟(⊺⇮3384⇷⊺⇮3491⩨(⊺⇮2415⩨⊺⇮1574))","cot":[{"info":"⊺⇮1900+⊺⇮3680=⊺⇮5580","layer":3},{"info":"⨰⫟⨤⊺⇮5580=NaN","layer":2},{"info":"NaN⩠=NaN","layer":1},{"info":"⩦⩻⨪⊺⇮2645=⊺⇮2645","layer":3},{"info":"⊥⊺⇮2645=NaN","layer":2},{"info":"⊺⇮3384⇷⊺⇮3491=⊺⇮6982","layer":3},{"info":"⊺⇮2415⩨⊺⇮1574=⊺⇮0","layer":3},{"info":"⊺⇮6982⩨⊺⇮0=⊺⇮0","layer":2},{"info":"NaN⋝⋈⪟⊺⇮0=NaN","layer":1},{"info":"NaN⪄NaN=⊺⇮3979","layer":0}]}
{"id":472,"expression_no_base_symbol":"⨈⫕(≤/(⊥$2018$))⨎($4571$⇷$1056$)⊴($2332$↬$3050$)","expression":"⨈⫕(≤/(⊥⊺⇮2018))⨎(⊺⇮4571⇷⊺⇮1056)⊴(⊺⇮2332↬⊺⇮3050)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":64397,"operation_count":7,"complexity_ratio":9199.57142857143,"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":2018,"base":10}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4571,"base":10},"right_expr":{"type":"numeric_atoms","value":1056,"base":10}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2332,"base":10},"right_expr":{"type":"numeric_atoms","value":3050,"base":10}}}}},"used_operators":["megm06wKyl","rJVOvQCfKK","eLAdDNolq6","Q3PJZHRvZv","Nsiff2A1zJ","mp7IySMOzn","B5M0gjZbta"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","fu6greOZ01","dWAJyo7jo9","14qkJME0vr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rGHVDoGpnC"],"result":"⊺⇮-21","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=2018","layer":4},{"info":"compute unary expreesion, input=2018, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":2},{"info":"number node, value=4571","layer":4},{"info":"number node, value=1056","layer":4},{"info":"compute binary expreesion, left_input=4571, right_input=1056, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2112","layer":3},{"info":"number node, value=2332","layer":4},{"info":"number node, value=3050","layer":4},{"info":"compute binary expreesion, left_input=2332, right_input=3050, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=2112, 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 = 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 = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":0}],"base":10,"result_base":10,"text":"⨈⫕(≤/(⊥⊺⇮2018))⨎(⊺⇮4571⇷⊺⇮1056)⊴(⊺⇮2332↬⊺⇮3050)=⊺⇮-21","reverse_text":"⊺⇮-21=⨈⫕(≤/(⊥⊺⇮2018))⨎(⊺⇮4571⇷⊺⇮1056)⊴(⊺⇮2332↬⊺⇮3050)","cot":[{"info":"⊥⊺⇮2018=NaN","layer":3},{"info":"≤/NaN=NaN","layer":2},{"info":"⊺⇮4571⇷⊺⇮1056=⊺⇮2112","layer":3},{"info":"⊺⇮2332↬⊺⇮3050=NaN","layer":3},{"info":"⊺⇮2112⊴NaN=NaN","layer":2},{"info":"NaN⨎NaN=NaN","layer":1},{"info":"⨈⫕NaN=⊺⇮-21","layer":0}]}
{"id":473,"expression_no_base_symbol":"((↩$3051$)∑⇟⊟($2935$⪨≂$2382$)↪⪝)∀⇚≩(($3360$⫥∨⫟$1607$⨵⪆$3518$⋥≓≎$2829$)⊭↱($2888$⨽$1292$)⨓($2986$⩚⊴⇥$3132$))","expression":"((↩⊺⇮3051)∑⇟⊟(⊺⇮2935⪨≂⊺⇮2382)↪⪝)∀⇚≩((⊺⇮3360⫥∨⫟⊺⇮1607⨵⪆⊺⇮3518⋥≓≎⊺⇮2829)⊭↱(⊺⇮2888⨽⊺⇮1292)⨓(⊺⇮2986⩚⊴⇥⊺⇮3132))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":9338,"operation_count":12,"complexity_ratio":778.1666666666666,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":3051,"base":10}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2935,"base":10},"right_expr":{"type":"numeric_atoms","value":2382,"base":10}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3360,"base":10},"right_expr":{"type":"numeric_atoms","value":1607,"base":10}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3518,"base":10},"right_expr":{"type":"numeric_atoms","value":2829,"base":10}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2888,"base":10},"right_expr":{"type":"numeric_atoms","value":1292,"base":10}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2986,"base":10},"right_expr":{"type":"numeric_atoms","value":3132,"base":10}}}}},"used_operators":["LRNGc0VcxI","l07mrZUIn9","U7g4x0WXJJ","jLgFTUHLKL","sdazOOVcIp","COABgblf1C","2DQ55sFlQl","KYD54nUTWz","Qy55tPpLXF","3ViojmjbAp","8HhzD0ZcuI","NTOWxs364D"],"dependent_operators":["X99M06cbEe","9HNa5Wba9A","2DDjHMKMc0","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3051","layer":4},{"info":"compute unary expreesion, input=3051, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-21628","layer":3},{"info":"number node, value=2935","layer":4},{"info":"number node, value=2382","layer":4},{"info":"compute binary expreesion, left_input=2935, right_input=2382, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=1208","layer":3},{"info":"compute binary expreesion, left_input=-21628, right_input=1208, 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 = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=nan","layer":1},{"info":"number node, value=3360","layer":4},{"info":"number node, value=1607","layer":4},{"info":"compute binary expreesion, left_input=3360, right_input=1607, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=3518","layer":4},{"info":"number node, value=2829","layer":4},{"info":"compute binary expreesion, left_input=3518, right_input=2829, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2173","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2173, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=2888","layer":4},{"info":"number node, value=1292","layer":4},{"info":"compute binary expreesion, left_input=2888, right_input=1292, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-25024194","layer":3},{"info":"number node, value=2986","layer":4},{"info":"number node, value=3132","layer":4},{"info":"compute binary expreesion, left_input=2986, right_input=3132, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6239","layer":3},{"info":"compute binary expreesion, left_input=-25024194, right_input=-6239, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-6242","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-6242, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-12799","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-12799, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":10,"result_base":10,"text":"((↩⊺⇮3051)∑⇟⊟(⊺⇮2935⪨≂⊺⇮2382)↪⪝)∀⇚≩((⊺⇮3360⫥∨⫟⊺⇮1607⨵⪆⊺⇮3518⋥≓≎⊺⇮2829)⊭↱(⊺⇮2888⨽⊺⇮1292)⨓(⊺⇮2986⩚⊴⇥⊺⇮3132))=NaN","reverse_text":"NaN=((↩⊺⇮3051)∑⇟⊟(⊺⇮2935⪨≂⊺⇮2382)↪⪝)∀⇚≩((⊺⇮3360⫥∨⫟⊺⇮1607⨵⪆⊺⇮3518⋥≓≎⊺⇮2829)⊭↱(⊺⇮2888⨽⊺⇮1292)⨓(⊺⇮2986⩚⊴⇥⊺⇮3132))","cot":[{"info":"↩⊺⇮3051=⊺⇮-21628","layer":3},{"info":"⊺⇮2935⪨≂⊺⇮2382=⊺⇮1208","layer":3},{"info":"⊺⇮-21628∑⇟⊟⊺⇮1208=NaN","layer":2},{"info":"NaN↪⪝=NaN","layer":1},{"info":"⊺⇮3360⫥∨⫟⊺⇮1607=NaN","layer":3},{"info":"⊺⇮3518⋥≓≎⊺⇮2829=⊺⇮2173","layer":3},{"info":"NaN⨵⪆⊺⇮2173=⊺⇮160","layer":2},{"info":"⊺⇮2888⨽⊺⇮1292=⊺⇮-25024194","layer":3},{"info":"⊺⇮2986⩚⊴⇥⊺⇮3132=⊺⇮-6239","layer":3},{"info":"⊺⇮-25024194⨓⊺⇮-6239=⊺⇮-6242","layer":2},{"info":"⊺⇮160⊭↱⊺⇮-6242=⊺⇮-12799","layer":1},{"info":"NaN∀⇚≩⊺⇮-12799=NaN","layer":0}]}
{"id":474,"expression_no_base_symbol":"(($1225$⋥≓≎$1194$)⪘⫢$1770$⪛$8122$)⪛((⊙↵-$4127$)⨰$3222$⇷$7579$)⇼⇔∾($1815$≎⊠⪸$6939$≭(⪝⪂⫅$4470$))↬($3402$↬$5524$⨵⪆$7413$⪛$2218$)","expression":"((⊺⇮1225⋥≓≎⊺⇮1194)⪘⫢⊺⇮1770⪛⊺⇮8122)⪛((⊙↵-⊺⇮4127)⨰⊺⇮3222⇷⊺⇮7579)⇼⇔∾(⊺⇮1815≎⊠⪸⊺⇮6939≭(⪝⪂⫅⊺⇮4470))↬(⊺⇮3402↬⊺⇮5524⨵⪆⊺⇮7413⪛⊺⇮2218)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":49752,"operation_count":15,"complexity_ratio":3316.8,"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":1225,"base":10},"right_expr":{"type":"numeric_atoms","value":1194,"base":10}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1770,"base":10},"right_expr":{"type":"numeric_atoms","value":8122,"base":10}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":4127,"base":10}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3222,"base":10},"right_expr":{"type":"numeric_atoms","value":7579,"base":10}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1815,"base":10},"right_expr":{"type":"numeric_atoms","value":6939,"base":10}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":4470,"base":10}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3402,"base":10},"right_expr":{"type":"numeric_atoms","value":5524,"base":10}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":7413,"base":10},"right_expr":{"type":"numeric_atoms","value":2218,"base":10}}}}},"used_operators":["tifHPKVTfV","uFcxV4UQCh","oacrs7FA3X","Qy55tPpLXF","eewbuw0ToL","oWn0xqSxBt","mp7IySMOzn","B5M0gjZbta","rxpJgHHUmx","bJkvcejdHO","XTarYq4gQB","2DQ55sFlQl"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rGHVDoGpnC","AHs5Up7iyr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1225","layer":4},{"info":"number node, value=1194","layer":4},{"info":"compute binary expreesion, left_input=1225, right_input=1194, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1196","layer":3},{"info":"number node, value=1770","layer":4},{"info":"number node, value=8122","layer":4},{"info":"compute binary expreesion, left_input=1770, right_input=8122, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1770","layer":3},{"info":"compute binary expreesion, left_input=1196, right_input=1770, 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":2},{"info":"number node, value=4127","layer":4},{"info":"compute unary expreesion, input=4127, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=3222","layer":4},{"info":"number node, value=7579","layer":4},{"info":"compute binary expreesion, left_input=3222, right_input=7579, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=15158","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=15158, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-15149","layer":2},{"info":"compute binary expreesion, left_input=2268, right_input=-15149, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-12881","layer":1},{"info":"number node, value=1815","layer":4},{"info":"number node, value=6939","layer":4},{"info":"compute binary expreesion, left_input=1815, right_input=6939, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=469612","layer":3},{"info":"number node, value=4470","layer":4},{"info":"compute unary expreesion, input=4470, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-657090","layer":3},{"info":"compute binary expreesion, left_input=469612, right_input=-657090, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=3402","layer":4},{"info":"number node, value=5524","layer":4},{"info":"compute binary expreesion, left_input=3402, right_input=5524, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=7413","layer":4},{"info":"number node, value=2218","layer":4},{"info":"compute binary expreesion, left_input=7413, right_input=2218, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=759","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=759, 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 = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=-12881, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1225⋥≓≎⊺⇮1194)⪘⫢⊺⇮1770⪛⊺⇮8122)⪛((⊙↵-⊺⇮4127)⨰⊺⇮3222⇷⊺⇮7579)⇼⇔∾(⊺⇮1815≎⊠⪸⊺⇮6939≭(⪝⪂⫅⊺⇮4470))↬(⊺⇮3402↬⊺⇮5524⨵⪆⊺⇮7413⪛⊺⇮2218)=NaN","reverse_text":"NaN=((⊺⇮1225⋥≓≎⊺⇮1194)⪘⫢⊺⇮1770⪛⊺⇮8122)⪛((⊙↵-⊺⇮4127)⨰⊺⇮3222⇷⊺⇮7579)⇼⇔∾(⊺⇮1815≎⊠⪸⊺⇮6939≭(⪝⪂⫅⊺⇮4470))↬(⊺⇮3402↬⊺⇮5524⨵⪆⊺⇮7413⪛⊺⇮2218)","cot":[{"info":"⊺⇮1225⋥≓≎⊺⇮1194=⊺⇮1196","layer":3},{"info":"⊺⇮1770⪛⊺⇮8122=⊺⇮1770","layer":3},{"info":"⊺⇮1196⪘⫢⊺⇮1770=⊺⇮2268","layer":2},{"info":"⊙↵-⊺⇮4127=⊺⇮-1","layer":3},{"info":"⊺⇮3222⇷⊺⇮7579=⊺⇮15158","layer":3},{"info":"⊺⇮-1⨰⊺⇮15158=⊺⇮-15149","layer":2},{"info":"⊺⇮2268⪛⊺⇮-15149=⊺⇮-12881","layer":1},{"info":"⊺⇮1815≎⊠⪸⊺⇮6939=⊺⇮469612","layer":3},{"info":"⪝⪂⫅⊺⇮4470=⊺⇮-657090","layer":3},{"info":"⊺⇮469612≭⊺⇮-657090=NaN","layer":2},{"info":"⊺⇮3402↬⊺⇮5524=NaN","layer":3},{"info":"⊺⇮7413⪛⊺⇮2218=⊺⇮759","layer":3},{"info":"NaN⨵⪆⊺⇮759=⊺⇮160","layer":2},{"info":"NaN↬⊺⇮160=NaN","layer":1},{"info":"⊺⇮-12881⇼⇔∾NaN=NaN","layer":0}]}
{"id":475,"expression_no_base_symbol":"($3110$↬$3756$⋥≓≎(↩$1061$))⨓((↔$1106$)⇼⇔∾$4207$≎⊠⪸$1348$)⩷∴(⨵≀≌($2836$⊭∹↮)⨽($3057$∸))","expression":"(⊺⇮3110↬⊺⇮3756⋥≓≎(↩⊺⇮1061))⨓((↔⊺⇮1106)⇼⇔∾⊺⇮4207≎⊠⪸⊺⇮1348)⩷∴(⨵≀≌(⊺⇮2836⊭∹↮)⨽(⊺⇮3057∸))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":96520149,"operation_count":12,"complexity_ratio":8043345.75,"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":3110,"base":10},"right_expr":{"type":"numeric_atoms","value":3756,"base":10}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1061,"base":10}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1106,"base":10}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4207,"base":10},"right_expr":{"type":"numeric_atoms","value":1348,"base":10}}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":2836,"base":10}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":3057,"base":10}}}}},"used_operators":["9FxExcQeMw","3ViojmjbAp","Qy55tPpLXF","B5M0gjZbta","jLgFTUHLKL","tifHPKVTfV","ruOEQAzv1W","bJkvcejdHO","srAu1WTS94","8HhzD0ZcuI","xNBdhnnwKq","o20kRiQErp"],"dependent_operators":["rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3110","layer":4},{"info":"number node, value=3756","layer":4},{"info":"compute binary expreesion, left_input=3110, right_input=3756, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1061","layer":4},{"info":"compute unary expreesion, input=1061, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-5708","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5708, 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=1106","layer":4},{"info":"compute unary expreesion, input=1106, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-833","layer":3},{"info":"number node, value=4207","layer":4},{"info":"number node, value=1348","layer":4},{"info":"compute binary expreesion, left_input=4207, right_input=1348, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1089140","layer":3},{"info":"compute binary expreesion, left_input=-833, right_input=1089140, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1089973","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=1089973, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"number node, value=2836","layer":4},{"info":"compute unary expreesion, input=2836, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=5672","layer":3},{"info":"number node, value=3057","layer":4},{"info":"compute unary expreesion, input=3057, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=5672, right_input=177, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-96513969","layer":2},{"info":"compute unary expreesion, input=-96513969, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=inf","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=inf, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮3110↬⊺⇮3756⋥≓≎(↩⊺⇮1061))⨓((↔⊺⇮1106)⇼⇔∾⊺⇮4207≎⊠⪸⊺⇮1348)⩷∴(⨵≀≌(⊺⇮2836⊭∹↮)⨽(⊺⇮3057∸))=NaN","reverse_text":"NaN=(⊺⇮3110↬⊺⇮3756⋥≓≎(↩⊺⇮1061))⨓((↔⊺⇮1106)⇼⇔∾⊺⇮4207≎⊠⪸⊺⇮1348)⩷∴(⨵≀≌(⊺⇮2836⊭∹↮)⨽(⊺⇮3057∸))","cot":[{"info":"⊺⇮3110↬⊺⇮3756=NaN","layer":3},{"info":"↩⊺⇮1061=⊺⇮-5708","layer":3},{"info":"NaN⋥≓≎⊺⇮-5708=⊺⇮67","layer":2},{"info":"↔⊺⇮1106=⊺⇮-833","layer":3},{"info":"⊺⇮4207≎⊠⪸⊺⇮1348=⊺⇮1089140","layer":3},{"info":"⊺⇮-833⇼⇔∾⊺⇮1089140=⊺⇮1089973","layer":2},{"info":"⊺⇮67⨓⊺⇮1089973=NaN","layer":1},{"info":"⊺⇮2836⊭∹↮=⊺⇮5672","layer":3},{"info":"⊺⇮3057∸=⊺⇮177","layer":3},{"info":"⊺⇮5672⨽⊺⇮177=⊺⇮-96513969","layer":2},{"info":"⨵≀≌⊺⇮-96513969=Inf","layer":1},{"info":"NaN⩷∴Inf=NaN","layer":0}]}
{"id":476,"expression_no_base_symbol":"(⪲⇎$7575$+⇶⊼$3130$⨽$1181$⋳⪒$3299$)⪨≂((↔$1659$)⋝⋈⪟($2732$⫸⊐$1051$))⊴(⨵≀≌(↣≠⋷$4869$))","expression":"(⪲⇎⊺⇮7575+⇶⊼⊺⇮3130⨽⊺⇮1181⋳⪒⊺⇮3299)⪨≂((↔⊺⇮1659)⋝⋈⪟(⊺⇮2732⫸⊐⊺⇮1051))⊴(⨵≀≌(↣≠⋷⊺⇮4869))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":72,"operation_count":11,"complexity_ratio":6.545454545454546,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":7575,"base":10},"right_expr":{"type":"numeric_atoms","value":3130,"base":10}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1181,"base":10},"right_expr":{"type":"numeric_atoms","value":3299,"base":10}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1659,"base":10}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2732,"base":10},"right_expr":{"type":"numeric_atoms","value":1051,"base":10}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":4869,"base":10}}}}},"used_operators":["sdazOOVcIp","XPYlsWDdGa","8HhzD0ZcuI","TpPTUOHfaN","12rbrZMWeM","Nsiff2A1zJ","2DDjHMKMc0","ruOEQAzv1W","mqXw5SEYmG","srAu1WTS94","Asc51vEJeQ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7575","layer":4},{"info":"number node, value=3130","layer":4},{"info":"compute binary expreesion, left_input=7575, right_input=3130, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=1181","layer":4},{"info":"number node, value=3299","layer":4},{"info":"compute binary expreesion, left_input=1181, right_input=3299, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-1224","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1224, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":1},{"info":"number node, value=1659","layer":4},{"info":"compute unary expreesion, input=1659, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1386","layer":3},{"info":"number node, value=2732","layer":4},{"info":"number node, value=1051","layer":4},{"info":"compute binary expreesion, left_input=2732, right_input=1051, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4079","layer":3},{"info":"compute binary expreesion, left_input=-1386, right_input=4079, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-1386","layer":2},{"info":"number node, value=4869","layer":4},{"info":"compute unary expreesion, input=4869, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/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=-1386, 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 = 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":10,"result_base":10,"text":"(⪲⇎⊺⇮7575+⇶⊼⊺⇮3130⨽⊺⇮1181⋳⪒⊺⇮3299)⪨≂((↔⊺⇮1659)⋝⋈⪟(⊺⇮2732⫸⊐⊺⇮1051))⊴(⨵≀≌(↣≠⋷⊺⇮4869))=NaN","reverse_text":"NaN=(⪲⇎⊺⇮7575+⇶⊼⊺⇮3130⨽⊺⇮1181⋳⪒⊺⇮3299)⪨≂((↔⊺⇮1659)⋝⋈⪟(⊺⇮2732⫸⊐⊺⇮1051))⊴(⨵≀≌(↣≠⋷⊺⇮4869))","cot":[{"info":"⊺⇮7575+⇶⊼⊺⇮3130=NaN","layer":3},{"info":"⊺⇮1181⋳⪒⊺⇮3299=⊺⇮-1224","layer":3},{"info":"NaN⨽⊺⇮-1224=NaN","layer":2},{"info":"⪲⇎NaN=NaN","layer":1},{"info":"↔⊺⇮1659=⊺⇮-1386","layer":3},{"info":"⊺⇮2732⫸⊐⊺⇮1051=⊺⇮4079","layer":3},{"info":"⊺⇮-1386⋝⋈⪟⊺⇮4079=⊺⇮-1386","layer":2},{"info":"↣≠⋷⊺⇮4869=NaN","layer":3},{"info":"⨵≀≌NaN=NaN","layer":2},{"info":"⊺⇮-1386⊴NaN=NaN","layer":1},{"info":"NaN⪨≂NaN=NaN","layer":0}]}
{"id":477,"expression_no_base_symbol":"⋗⩬⋾(⊄⩳↩(+⊝⨔($2006$≭$4887$)))","expression":"⋗⩬⋾(⊄⩳↩(+⊝⨔(⊺⇮2006≭⊺⇮4887)))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":27,"operation_count":4,"complexity_ratio":6.75,"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":2006,"base":10},"right_expr":{"type":"numeric_atoms","value":4887,"base":10}}}}},"used_operators":["DpFCA1CohY","8w2t5hMYqp","DhbWaqg5eL","rxpJgHHUmx"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","AHs5Up7iyr"],"result":"⊺⇮13698","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2006","layer":4},{"info":"number node, value=4887","layer":4},{"info":"compute binary expreesion, left_input=2006, right_input=4887, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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 unary expreesion, input=1522, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-4566","layer":1},{"info":"compute unary expreesion, input=-4566, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=13698","layer":0}],"base":10,"result_base":10,"text":"⋗⩬⋾(⊄⩳↩(+⊝⨔(⊺⇮2006≭⊺⇮4887)))=⊺⇮13698","reverse_text":"⊺⇮13698=⋗⩬⋾(⊄⩳↩(+⊝⨔(⊺⇮2006≭⊺⇮4887)))","cot":[{"info":"⊺⇮2006≭⊺⇮4887=NaN","layer":3},{"info":"+⊝⨔NaN=⊺⇮1522","layer":2},{"info":"⊄⩳↩⊺⇮1522=⊺⇮-4566","layer":1},{"info":"⋗⩬⋾⊺⇮-4566=⊺⇮13698","layer":0}]}
{"id":478,"expression_no_base_symbol":"(($1268$≫≃)⩨$1660$↬$1909$)⋝⋈⪟(($2507$⇼⇔∾$7306$)⩷∴($5189$⩷∴$5649$))⊦⊿","expression":"((⊺⇮1268≫≃)⩨⊺⇮1660↬⊺⇮1909)⋝⋈⪟((⊺⇮2507⇼⇔∾⊺⇮7306)⩷∴(⊺⇮5189⩷∴⊺⇮5649))⊦⊿","highest_n_order":5,"priority_hierarchical_complexity":4,"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":1268,"base":10}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1660,"base":10},"right_expr":{"type":"numeric_atoms","value":1909,"base":10}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2507,"base":10},"right_expr":{"type":"numeric_atoms","value":7306,"base":10}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":5189,"base":10},"right_expr":{"type":"numeric_atoms","value":5649,"base":10}}}}},"used_operators":["14qkJME0vr","2DDjHMKMc0","2DlMacCsIx","X99M06cbEe","B5M0gjZbta","9FxExcQeMw","tifHPKVTfV"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rGHVDoGpnC","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1268","layer":4},{"info":"compute unary expreesion, input=1268, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=3937","layer":3},{"info":"number node, value=1660","layer":4},{"info":"number node, value=1909","layer":4},{"info":"compute binary expreesion, left_input=1660, right_input=1909, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=3937, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"number node, value=2507","layer":4},{"info":"number node, value=7306","layer":4},{"info":"compute binary expreesion, left_input=2507, right_input=7306, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=4799","layer":3},{"info":"number node, value=5189","layer":4},{"info":"number node, value=5649","layer":4},{"info":"compute binary expreesion, left_input=5189, right_input=5649, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-952","layer":3},{"info":"compute binary expreesion, left_input=4799, right_input=-952, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=11470","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=11470, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((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":10,"result_base":10,"text":"((⊺⇮1268≫≃)⩨⊺⇮1660↬⊺⇮1909)⋝⋈⪟((⊺⇮2507⇼⇔∾⊺⇮7306)⩷∴(⊺⇮5189⩷∴⊺⇮5649))⊦⊿=NaN","reverse_text":"NaN=((⊺⇮1268≫≃)⩨⊺⇮1660↬⊺⇮1909)⋝⋈⪟((⊺⇮2507⇼⇔∾⊺⇮7306)⩷∴(⊺⇮5189⩷∴⊺⇮5649))⊦⊿","cot":[{"info":"⊺⇮1268≫≃=⊺⇮3937","layer":3},{"info":"⊺⇮1660↬⊺⇮1909=NaN","layer":3},{"info":"⊺⇮3937⩨NaN=NaN","layer":2},{"info":"⊺⇮2507⇼⇔∾⊺⇮7306=⊺⇮4799","layer":3},{"info":"⊺⇮5189⩷∴⊺⇮5649=⊺⇮-952","layer":3},{"info":"⊺⇮4799⩷∴⊺⇮-952=⊺⇮11470","layer":2},{"info":"NaN⋝⋈⪟⊺⇮11470=NaN","layer":1},{"info":"NaN⊦⊿=NaN","layer":0}]}
{"id":479,"expression_no_base_symbol":"(⊙↵-(⪲⇎$4504$↬$5600$))≭(($1016$⪐)⋳⪒$3474$⇷$3381$⋷(↣≠⋷(⨰⫟⨤$2526$)))","expression":"(⊙↵-(⪲⇎⊺⇮4504↬⊺⇮5600))≭((⊺⇮1016⪐)⋳⪒⊺⇮3474⇷⊺⇮3381⋷(↣≠⋷(⨰⫟⨤⊺⇮2526)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":57951,"operation_count":10,"complexity_ratio":5795.1,"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":4504,"base":10},"right_expr":{"type":"numeric_atoms","value":5600,"base":10}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1016,"base":10}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3474,"base":10},"right_expr":{"type":"numeric_atoms","value":3381,"base":10}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2526,"base":10}}}}},"used_operators":["rxpJgHHUmx","oWn0xqSxBt","XPYlsWDdGa","B5M0gjZbta","23Mk6UjR3U","12rbrZMWeM","eH2TOUuTDT","mp7IySMOzn","Asc51vEJeQ","Tw270M8GLb"],"dependent_operators":["AHs5Up7iyr","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","XhwjNDsVaA","AHs5Up7iyr","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4504","layer":4},{"info":"number node, value=5600","layer":4},{"info":"compute binary expreesion, left_input=4504, right_input=5600, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = 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 = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":1},{"info":"number node, value=1016","layer":4},{"info":"compute unary expreesion, input=1016, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2032","layer":3},{"info":"number node, value=3474","layer":4},{"info":"number node, value=3381","layer":4},{"info":"compute binary expreesion, left_input=3474, right_input=3381, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6762","layer":3},{"info":"compute binary expreesion, left_input=2032, right_input=6762, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-2985","layer":2},{"info":"number node, value=2526","layer":4},{"info":"compute unary expreesion, input=2526, 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 = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2985, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=5970","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=5970, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":10,"result_base":10,"text":"(⊙↵-(⪲⇎⊺⇮4504↬⊺⇮5600))≭((⊺⇮1016⪐)⋳⪒⊺⇮3474⇷⊺⇮3381⋷(↣≠⋷(⨰⫟⨤⊺⇮2526)))=NaN","reverse_text":"NaN=(⊙↵-(⪲⇎⊺⇮4504↬⊺⇮5600))≭((⊺⇮1016⪐)⋳⪒⊺⇮3474⇷⊺⇮3381⋷(↣≠⋷(⨰⫟⨤⊺⇮2526)))","cot":[{"info":"⊺⇮4504↬⊺⇮5600=NaN","layer":3},{"info":"⪲⇎NaN=NaN","layer":2},{"info":"⊙↵-NaN=NaN","layer":1},{"info":"⊺⇮1016⪐=⊺⇮2032","layer":3},{"info":"⊺⇮3474⇷⊺⇮3381=⊺⇮6762","layer":3},{"info":"⊺⇮2032⋳⪒⊺⇮6762=⊺⇮-2985","layer":2},{"info":"⨰⫟⨤⊺⇮2526=NaN","layer":3},{"info":"↣≠⋷NaN=NaN","layer":2},{"info":"⊺⇮-2985⋷NaN=⊺⇮5970","layer":1},{"info":"NaN≭⊺⇮5970=NaN","layer":0}]}
{"id":480,"expression_no_base_symbol":"($2478$⪛$1468$⫸⊐($3234$⪒$3384$))⋳⪒(⊄⩳↩($1165$⊪))⨽(($1510$⪄$5164$)≫≃)⨪↰⇹($3380$⊘)⇷($2746$⪨≂$3990$)","expression":"(⊺⇮2478⪛⊺⇮1468⫸⊐(⊺⇮3234⪒⊺⇮3384))⋳⪒(⊄⩳↩(⊺⇮1165⊪))⨽((⊺⇮1510⪄⊺⇮5164)≫≃)⨪↰⇹(⊺⇮3380⊘)⇷(⊺⇮2746⪨≂⊺⇮3990)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":506282,"operation_count":13,"complexity_ratio":38944.769230769234,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2478,"base":10},"right_expr":{"type":"numeric_atoms","value":1468,"base":10}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3234,"base":10},"right_expr":{"type":"numeric_atoms","value":3384,"base":10}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":1165,"base":10}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1510,"base":10},"right_expr":{"type":"numeric_atoms","value":5164,"base":10}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":3380,"base":10}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2746,"base":10},"right_expr":{"type":"numeric_atoms","value":3990,"base":10}}}}},"used_operators":["8HhzD0ZcuI","12rbrZMWeM","mqXw5SEYmG","uFcxV4UQCh","f6k1SAg4EE","8w2t5hMYqp","zVYPLywUTj","tmPS8pqC7x","X99M06cbEe","SUmda5xLS4","mp7IySMOzn","gu96TGCTMs","sdazOOVcIp"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rJVOvQCfKK","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd"],"result":"-Inf","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2478","layer":4},{"info":"number node, value=1468","layer":4},{"info":"compute binary expreesion, left_input=2478, right_input=1468, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1010","layer":3},{"info":"number node, value=3234","layer":4},{"info":"number node, value=3384","layer":4},{"info":"compute binary expreesion, left_input=3234, right_input=3384, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6618","layer":3},{"info":"compute binary expreesion, left_input=1010, right_input=-6618, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-13365","layer":2},{"info":"number node, value=1165","layer":4},{"info":"compute unary expreesion, input=1165, 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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-13365, right_input=0, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-27017","layer":1},{"info":"number node, value=1510","layer":4},{"info":"number node, value=5164","layer":4},{"info":"compute binary expreesion, left_input=1510, right_input=5164, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-240225","layer":3},{"info":"compute unary expreesion, input=-240225, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=-479049","layer":2},{"info":"number node, value=3380","layer":4},{"info":"compute unary expreesion, input=3380, 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=2746","layer":4},{"info":"number node, value=3990","layer":4},{"info":"compute binary expreesion, left_input=2746, right_input=3990, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-2386","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-2386, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-479049, 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=479049","layer":1},{"info":"compute binary expreesion, left_input=-27017, right_input=479049, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮2478⪛⊺⇮1468⫸⊐(⊺⇮3234⪒⊺⇮3384))⋳⪒(⊄⩳↩(⊺⇮1165⊪))⨽((⊺⇮1510⪄⊺⇮5164)≫≃)⨪↰⇹(⊺⇮3380⊘)⇷(⊺⇮2746⪨≂⊺⇮3990)=-Inf","reverse_text":"-Inf=(⊺⇮2478⪛⊺⇮1468⫸⊐(⊺⇮3234⪒⊺⇮3384))⋳⪒(⊄⩳↩(⊺⇮1165⊪))⨽((⊺⇮1510⪄⊺⇮5164)≫≃)⨪↰⇹(⊺⇮3380⊘)⇷(⊺⇮2746⪨≂⊺⇮3990)","cot":[{"info":"⊺⇮2478⪛⊺⇮1468=⊺⇮1010","layer":3},{"info":"⊺⇮3234⪒⊺⇮3384=⊺⇮-6618","layer":3},{"info":"⊺⇮1010⫸⊐⊺⇮-6618=⊺⇮-13365","layer":2},{"info":"⊺⇮1165⊪=⊺⇮0","layer":3},{"info":"⊄⩳↩⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮-13365⋳⪒⊺⇮0=⊺⇮-27017","layer":1},{"info":"⊺⇮1510⪄⊺⇮5164=⊺⇮-240225","layer":3},{"info":"⊺⇮-240225≫≃=⊺⇮-479049","layer":2},{"info":"⊺⇮3380⊘=⊺⇮0","layer":3},{"info":"⊺⇮2746⪨≂⊺⇮3990=⊺⇮-2386","layer":3},{"info":"⊺⇮0⇷⊺⇮-2386=⊺⇮0","layer":2},{"info":"⊺⇮-479049⨪↰⇹⊺⇮0=⊺⇮479049","layer":1},{"info":"⊺⇮-27017⨽⊺⇮479049=-Inf","layer":0}]}
{"id":481,"expression_no_base_symbol":"(⨞⊢(⨵≀≌$2011$))⩷∴($1259$↬$1141$/$2940$⪛$2449$)⨎((⪝⪂⫅$6195$)⨐⩸⫘$1819$+⇶⊼$5824$)+⇶⊼(↩$3301$⨐⩸⫘$1193$)","expression":"(⨞⊢(⨵≀≌⊺⇮2011))⩷∴(⊺⇮1259↬⊺⇮1141/⊺⇮2940⪛⊺⇮2449)⨎((⪝⪂⫅⊺⇮6195)⨐⩸⫘⊺⇮1819+⇶⊼⊺⇮5824)+⇶⊼(↩⊺⇮3301⨐⩸⫘⊺⇮1193)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":191,"operation_count":13,"complexity_ratio":14.692307692307692,"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":2011,"base":10}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1259,"base":10},"right_expr":{"type":"numeric_atoms","value":1141,"base":10}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2940,"base":10},"right_expr":{"type":"numeric_atoms","value":2449,"base":10}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":6195,"base":10}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1819,"base":10},"right_expr":{"type":"numeric_atoms","value":5824,"base":10}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3301,"base":10},"right_expr":{"type":"numeric_atoms","value":1193,"base":10}}}}},"used_operators":["rJVOvQCfKK","9FxExcQeMw","xUOZtlo3hN","srAu1WTS94","XhwjNDsVaA","B5M0gjZbta","uFcxV4UQCh","TpPTUOHfaN","fu6greOZ01","XTarYq4gQB","jLgFTUHLKL"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","rGHVDoGpnC","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","AHs5Up7iyr","3ViojmjbAp","9HNa5Wba9A","8w2t5hMYqp","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2011","layer":4},{"info":"compute unary expreesion, input=2011, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-6033","layer":3},{"info":"compute unary expreesion, input=-6033, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=5859","layer":2},{"info":"number node, value=1259","layer":4},{"info":"number node, value=1141","layer":4},{"info":"compute binary expreesion, left_input=1259, right_input=1141, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=2940","layer":4},{"info":"number node, value=2449","layer":4},{"info":"compute binary expreesion, left_input=2940, right_input=2449, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=491","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=491, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=5859, 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=6195","layer":4},{"info":"compute unary expreesion, input=6195, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-910665","layer":3},{"info":"number node, value=1819","layer":4},{"info":"number node, value=5824","layer":4},{"info":"compute binary expreesion, left_input=1819, right_input=5824, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=-910665, 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=3301","layer":4},{"info":"number node, value=1193","layer":4},{"info":"compute binary expreesion, left_input=3301, right_input=1193, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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 = 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=nan, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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":10,"result_base":10,"text":"(⨞⊢(⨵≀≌⊺⇮2011))⩷∴(⊺⇮1259↬⊺⇮1141/⊺⇮2940⪛⊺⇮2449)⨎((⪝⪂⫅⊺⇮6195)⨐⩸⫘⊺⇮1819+⇶⊼⊺⇮5824)+⇶⊼(↩⊺⇮3301⨐⩸⫘⊺⇮1193)=NaN","reverse_text":"NaN=(⨞⊢(⨵≀≌⊺⇮2011))⩷∴(⊺⇮1259↬⊺⇮1141/⊺⇮2940⪛⊺⇮2449)⨎((⪝⪂⫅⊺⇮6195)⨐⩸⫘⊺⇮1819+⇶⊼⊺⇮5824)+⇶⊼(↩⊺⇮3301⨐⩸⫘⊺⇮1193)","cot":[{"info":"⨵≀≌⊺⇮2011=⊺⇮-6033","layer":3},{"info":"⨞⊢⊺⇮-6033=⊺⇮5859","layer":2},{"info":"⊺⇮1259↬⊺⇮1141=NaN","layer":3},{"info":"⊺⇮2940⪛⊺⇮2449=⊺⇮491","layer":3},{"info":"NaN/⊺⇮491=NaN","layer":2},{"info":"⊺⇮5859⩷∴NaN=NaN","layer":1},{"info":"⪝⪂⫅⊺⇮6195=⊺⇮-910665","layer":3},{"info":"⊺⇮1819+⇶⊼⊺⇮5824=NaN","layer":3},{"info":"⊺⇮-910665⨐⩸⫘NaN=NaN","layer":2},{"info":"⊺⇮3301⨐⩸⫘⊺⇮1193=NaN","layer":3},{"info":"↩NaN=NaN","layer":2},{"info":"NaN+⇶⊼NaN=NaN","layer":1},{"info":"NaN⨎NaN=NaN","layer":0}]}
{"id":482,"expression_no_base_symbol":"(($1772$⇷$7364$*(⫛⫱⨽$2115$))↙(($2928$+$3934$)⩨$3944$∑⇟⊟$1282$))⊴(($2667$*$2976$)≭$2514$∼$1887$⪨≂$2147$⨳⩥⨓$1019$↙$1280$∀⇚≩$3174$)","expression":"((⊺⇮1772⇷⊺⇮7364*(⫛⫱⨽⊺⇮2115))↙((⊺⇮2928+⊺⇮3934)⩨⊺⇮3944∑⇟⊟⊺⇮1282))⊴((⊺⇮2667*⊺⇮2976)≭⊺⇮2514∼⊺⇮1887⪨≂⊺⇮2147⨳⩥⨓⊺⇮1019↙⊺⇮1280∀⇚≩⊺⇮3174)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":37939,"operation_count":15,"complexity_ratio":2529.266666666667,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1772,"base":10},"right_expr":{"type":"numeric_atoms","value":7364,"base":10}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2115,"base":10}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2928,"base":10},"right_expr":{"type":"numeric_atoms","value":3934,"base":10}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3944,"base":10},"right_expr":{"type":"numeric_atoms","value":1282,"base":10}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2667,"base":10},"right_expr":{"type":"numeric_atoms","value":2976,"base":10}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2514,"base":10},"right_expr":{"type":"numeric_atoms","value":1887,"base":10}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2147,"base":10},"right_expr":{"type":"numeric_atoms","value":1019,"base":10}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1280,"base":10},"right_expr":{"type":"numeric_atoms","value":3174,"base":10}}}}},"used_operators":["Nsiff2A1zJ","yyfyN0ffXY","9HNa5Wba9A","mp7IySMOzn","DlLNRPXxWL","2DlMacCsIx","W4YGzv6Whe","U7g4x0WXJJ","sdazOOVcIp","rxpJgHHUmx","DyGG3AbaNP","nCS4ZIUYfx","LRNGc0VcxI"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rGHVDoGpnC","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1772","layer":4},{"info":"number node, value=7364","layer":4},{"info":"compute binary expreesion, left_input=1772, right_input=7364, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=14728","layer":3},{"info":"number node, value=2115","layer":4},{"info":"compute unary expreesion, input=2115, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=14728, right_input=0, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=2928","layer":4},{"info":"number node, value=3934","layer":4},{"info":"compute binary expreesion, left_input=2928, right_input=3934, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6862","layer":3},{"info":"number node, value=3944","layer":4},{"info":"number node, value=1282","layer":4},{"info":"compute binary expreesion, left_input=3944, right_input=1282, 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=6862, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":1},{"info":"number node, value=2667","layer":4},{"info":"number node, value=2976","layer":4},{"info":"compute binary expreesion, left_input=2667, right_input=2976, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=7936992","layer":3},{"info":"number node, value=2514","layer":4},{"info":"number node, value=1887","layer":4},{"info":"compute binary expreesion, left_input=2514, right_input=1887, 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=7936992, 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=2147","layer":4},{"info":"number node, value=1019","layer":4},{"info":"compute binary expreesion, left_input=2147, right_input=1019, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1128","layer":3},{"info":"number node, value=1280","layer":4},{"info":"number node, value=3174","layer":4},{"info":"compute binary expreesion, left_input=1280, right_input=3174, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=-1128, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-1128","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1128, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1772⇷⊺⇮7364*(⫛⫱⨽⊺⇮2115))↙((⊺⇮2928+⊺⇮3934)⩨⊺⇮3944∑⇟⊟⊺⇮1282))⊴((⊺⇮2667*⊺⇮2976)≭⊺⇮2514∼⊺⇮1887⪨≂⊺⇮2147⨳⩥⨓⊺⇮1019↙⊺⇮1280∀⇚≩⊺⇮3174)=NaN","reverse_text":"NaN=((⊺⇮1772⇷⊺⇮7364*(⫛⫱⨽⊺⇮2115))↙((⊺⇮2928+⊺⇮3934)⩨⊺⇮3944∑⇟⊟⊺⇮1282))⊴((⊺⇮2667*⊺⇮2976)≭⊺⇮2514∼⊺⇮1887⪨≂⊺⇮2147⨳⩥⨓⊺⇮1019↙⊺⇮1280∀⇚≩⊺⇮3174)","cot":[{"info":"⊺⇮1772⇷⊺⇮7364=⊺⇮14728","layer":3},{"info":"⫛⫱⨽⊺⇮2115=⊺⇮0","layer":3},{"info":"⊺⇮14728*⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮2928+⊺⇮3934=⊺⇮6862","layer":3},{"info":"⊺⇮3944∑⇟⊟⊺⇮1282=NaN","layer":3},{"info":"⊺⇮6862⩨NaN=NaN","layer":2},{"info":"⊺⇮0↙NaN=⊺⇮0","layer":1},{"info":"⊺⇮2667*⊺⇮2976=⊺⇮7936992","layer":3},{"info":"⊺⇮2514∼⊺⇮1887=NaN","layer":3},{"info":"⊺⇮7936992≭NaN=NaN","layer":2},{"info":"⊺⇮2147⨳⩥⨓⊺⇮1019=⊺⇮-1128","layer":3},{"info":"⊺⇮1280∀⇚≩⊺⇮3174=NaN","layer":3},{"info":"⊺⇮-1128↙NaN=⊺⇮-1128","layer":2},{"info":"NaN⪨≂⊺⇮-1128=NaN","layer":1},{"info":"⊺⇮0⊴NaN=NaN","layer":0}]}
{"id":483,"expression_no_base_symbol":"($2057$⇼⇔∾$2342$*$2477$⩚⊴⇥$3802$/(($2935$-$3100$)⩤))∲⫓(((↩$1332$)∧)⫩⊇)","expression":"(⊺⇮2057⇼⇔∾⊺⇮2342*⊺⇮2477⩚⊴⇥⊺⇮3802/((⊺⇮2935-⊺⇮3100)⩤))∲⫓(((↩⊺⇮1332)∧)⫩⊇)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":11373,"operation_count":10,"complexity_ratio":1137.3,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2057,"base":10},"right_expr":{"type":"numeric_atoms","value":2342,"base":10}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2477,"base":10},"right_expr":{"type":"numeric_atoms","value":3802,"base":10}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2935,"base":10},"right_expr":{"type":"numeric_atoms","value":3100,"base":10}}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1332,"base":10}}}}},"used_operators":["i8ToyICDmI","XhwjNDsVaA","9HNa5Wba9A","tifHPKVTfV","NTOWxs364D","Z2TMIBDE3Q","rysDP5nf3Z","BjRHVeLaeN","z63VuFQld9","jLgFTUHLKL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"⊺⇮-11055","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2057","layer":4},{"info":"number node, value=2342","layer":4},{"info":"compute binary expreesion, left_input=2057, right_input=2342, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=285","layer":3},{"info":"number node, value=2477","layer":4},{"info":"number node, value=3802","layer":4},{"info":"compute binary expreesion, left_input=2477, right_input=3802, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6400","layer":3},{"info":"compute binary expreesion, left_input=285, right_input=-6400, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-1824000","layer":2},{"info":"number node, value=2935","layer":4},{"info":"number node, value=3100","layer":4},{"info":"compute binary expreesion, left_input=2935, right_input=3100, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-165","layer":3},{"info":"compute unary expreesion, input=-165, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=165","layer":2},{"info":"compute binary expreesion, left_input=-1824000, right_input=165, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-11055","layer":1},{"info":"number node, value=1332","layer":4},{"info":"compute unary expreesion, input=1332, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-7876","layer":3},{"info":"compute unary expreesion, input=-7876, 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 = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=42","layer":1},{"info":"compute binary expreesion, left_input=-11055, right_input=42, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-11055","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮2057⇼⇔∾⊺⇮2342*⊺⇮2477⩚⊴⇥⊺⇮3802/((⊺⇮2935-⊺⇮3100)⩤))∲⫓(((↩⊺⇮1332)∧)⫩⊇)=⊺⇮-11055","reverse_text":"⊺⇮-11055=(⊺⇮2057⇼⇔∾⊺⇮2342*⊺⇮2477⩚⊴⇥⊺⇮3802/((⊺⇮2935-⊺⇮3100)⩤))∲⫓(((↩⊺⇮1332)∧)⫩⊇)","cot":[{"info":"⊺⇮2057⇼⇔∾⊺⇮2342=⊺⇮285","layer":3},{"info":"⊺⇮2477⩚⊴⇥⊺⇮3802=⊺⇮-6400","layer":3},{"info":"⊺⇮285*⊺⇮-6400=⊺⇮-1824000","layer":2},{"info":"⊺⇮2935-⊺⇮3100=⊺⇮-165","layer":3},{"info":"⊺⇮-165⩤=⊺⇮165","layer":2},{"info":"⊺⇮-1824000/⊺⇮165=⊺⇮-11055","layer":1},{"info":"↩⊺⇮1332=⊺⇮-7876","layer":3},{"info":"⊺⇮-7876∧=⊺⇮0","layer":2},{"info":"⊺⇮0⫩⊇=⊺⇮42","layer":1},{"info":"⊺⇮-11055∲⫓⊺⇮42=⊺⇮-11055","layer":0}]}
{"id":484,"expression_no_base_symbol":"((↯⪼$7495$)*$1022$⋥≓≎$1266$)∼(($1787$⨁⊸⫻)↬(⊄⩳↩$3333$))⋥≓≎(($1508$%$4560$)≎⊠⪸$4626$⨪↰⇹$2822$)∼(($1127$⪨≂$9613$)↺($5546$≣⋋))","expression":"((↯⪼⊺⇮7495)*⊺⇮1022⋥≓≎⊺⇮1266)∼((⊺⇮1787⨁⊸⫻)↬(⊄⩳↩⊺⇮3333))⋥≓≎((⊺⇮1508%⊺⇮4560)≎⊠⪸⊺⇮4626⨪↰⇹⊺⇮2822)∼((⊺⇮1127⪨≂⊺⇮9613)↺(⊺⇮5546≣⋋))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":13788,"operation_count":15,"complexity_ratio":919.2,"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":7495,"base":10}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1022,"base":10},"right_expr":{"type":"numeric_atoms","value":1266,"base":10}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1787,"base":10}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":3333,"base":10}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1508,"base":10},"right_expr":{"type":"numeric_atoms","value":4560,"base":10}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4626,"base":10},"right_expr":{"type":"numeric_atoms","value":2822,"base":10}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1127,"base":10},"right_expr":{"type":"numeric_atoms","value":9613,"base":10}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":5546,"base":10}}}}},"used_operators":["Qy55tPpLXF","DyGG3AbaNP","9HNa5Wba9A","8jW3W4yZS5","B5M0gjZbta","glklzrTFfD","8w2t5hMYqp","bJkvcejdHO","k8jYdgA6NY","tmPS8pqC7x","7j4O788W3g","sdazOOVcIp","Tcnh7f0tEr"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"⊺⇮67","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7495","layer":4},{"info":"compute unary expreesion, input=7495, 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=1022","layer":4},{"info":"number node, value=1266","layer":4},{"info":"compute binary expreesion, left_input=1022, right_input=1266, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1543","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=1543, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-32403","layer":2},{"info":"number node, value=1787","layer":4},{"info":"compute unary expreesion, input=1787, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1787","layer":3},{"info":"number node, value=3333","layer":4},{"info":"compute unary expreesion, input=3333, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-9999","layer":3},{"info":"compute binary expreesion, left_input=1787, right_input=-9999, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=-32403, 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=1508","layer":4},{"info":"number node, value=4560","layer":4},{"info":"compute binary expreesion, left_input=1508, right_input=4560, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1508","layer":3},{"info":"number node, value=4626","layer":4},{"info":"number node, value=2822","layer":4},{"info":"compute binary expreesion, left_input=4626, right_input=2822, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=4626","layer":3},{"info":"compute binary expreesion, left_input=1508, right_input=4626, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=390099","layer":2},{"info":"number node, value=1127","layer":4},{"info":"number node, value=9613","layer":4},{"info":"compute binary expreesion, left_input=1127, right_input=9613, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-16870","layer":3},{"info":"number node, value=5546","layer":4},{"info":"compute unary expreesion, input=5546, 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=-16870, 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=390099, right_input=0, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=20","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=20, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":10,"result_base":10,"text":"((↯⪼⊺⇮7495)*⊺⇮1022⋥≓≎⊺⇮1266)∼((⊺⇮1787⨁⊸⫻)↬(⊄⩳↩⊺⇮3333))⋥≓≎((⊺⇮1508%⊺⇮4560)≎⊠⪸⊺⇮4626⨪↰⇹⊺⇮2822)∼((⊺⇮1127⪨≂⊺⇮9613)↺(⊺⇮5546≣⋋))=⊺⇮67","reverse_text":"⊺⇮67=((↯⪼⊺⇮7495)*⊺⇮1022⋥≓≎⊺⇮1266)∼((⊺⇮1787⨁⊸⫻)↬(⊄⩳↩⊺⇮3333))⋥≓≎((⊺⇮1508%⊺⇮4560)≎⊠⪸⊺⇮4626⨪↰⇹⊺⇮2822)∼((⊺⇮1127⪨≂⊺⇮9613)↺(⊺⇮5546≣⋋))","cot":[{"info":"↯⪼⊺⇮7495=⊺⇮-21","layer":3},{"info":"⊺⇮1022⋥≓≎⊺⇮1266=⊺⇮1543","layer":3},{"info":"⊺⇮-21*⊺⇮1543=⊺⇮-32403","layer":2},{"info":"⊺⇮1787⨁⊸⫻=⊺⇮1787","layer":3},{"info":"⊄⩳↩⊺⇮3333=⊺⇮-9999","layer":3},{"info":"⊺⇮1787↬⊺⇮-9999=NaN","layer":2},{"info":"⊺⇮-32403∼NaN=NaN","layer":1},{"info":"⊺⇮1508%⊺⇮4560=⊺⇮1508","layer":3},{"info":"⊺⇮4626⨪↰⇹⊺⇮2822=⊺⇮4626","layer":3},{"info":"⊺⇮1508≎⊠⪸⊺⇮4626=⊺⇮390099","layer":2},{"info":"⊺⇮1127⪨≂⊺⇮9613=⊺⇮-16870","layer":3},{"info":"⊺⇮5546≣⋋=⊺⇮0","layer":3},{"info":"⊺⇮-16870↺⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮390099∼⊺⇮0=⊺⇮20","layer":1},{"info":"NaN⋥≓≎⊺⇮20=⊺⇮67","layer":0}]}
{"id":485,"expression_no_base_symbol":"((≤/(↩$1267$))⋳⪒($1630$⨐⩸⫘$4471$⋷$2575$∼$2822$))⩷∴(($2486$⪢$1067$)⊴($2336$⪄$4848$)⩨($1113$≧⫂∧$4066$⫩⊇))","expression":"((≤/(↩⊺⇮1267))⋳⪒(⊺⇮1630⨐⩸⫘⊺⇮4471⋷⊺⇮2575∼⊺⇮2822))⩷∴((⊺⇮2486⪢⊺⇮1067)⊴(⊺⇮2336⪄⊺⇮4848)⩨(⊺⇮1113≧⫂∧⊺⇮4066⫩⊇))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":362588,"operation_count":13,"complexity_ratio":27891.384615384617,"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":1267,"base":10}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1630,"base":10},"right_expr":{"type":"numeric_atoms","value":4471,"base":10}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2575,"base":10},"right_expr":{"type":"numeric_atoms","value":2822,"base":10}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2486,"base":10},"right_expr":{"type":"numeric_atoms","value":1067,"base":10}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2336,"base":10},"right_expr":{"type":"numeric_atoms","value":4848,"base":10}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1113,"base":10},"right_expr":{"type":"numeric_atoms","value":4066,"base":10}}}}},"used_operators":["9FxExcQeMw","12rbrZMWeM","eLAdDNolq6","jLgFTUHLKL","23Mk6UjR3U","fu6greOZ01","DyGG3AbaNP","2DlMacCsIx","Nsiff2A1zJ","dWAJyo7jo9","SUmda5xLS4","BjRHVeLaeN","Ph9nP6C5qx"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","14qkJME0vr","k8jYdgA6NY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1267","layer":4},{"info":"compute unary expreesion, input=1267, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-7356","layer":3},{"info":"compute unary expreesion, input=-7356, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=7840","layer":2},{"info":"number node, value=1630","layer":4},{"info":"number node, value=4471","layer":4},{"info":"compute binary expreesion, left_input=1630, right_input=4471, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=2575","layer":4},{"info":"number node, value=2822","layer":4},{"info":"compute binary expreesion, left_input=2575, right_input=2822, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=7840, 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=2486","layer":4},{"info":"number node, value=1067","layer":4},{"info":"compute binary expreesion, left_input=2486, right_input=1067, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=2336","layer":4},{"info":"number node, value=4848","layer":4},{"info":"compute binary expreesion, left_input=2336, right_input=4848, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-361209","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-361209, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=1113","layer":4},{"info":"number node, value=4066","layer":4},{"info":"compute binary expreesion, left_input=1113, right_input=4066, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3593","layer":3},{"info":"compute unary expreesion, input=3593, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-3551","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3551, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((≤/(↩⊺⇮1267))⋳⪒(⊺⇮1630⨐⩸⫘⊺⇮4471⋷⊺⇮2575∼⊺⇮2822))⩷∴((⊺⇮2486⪢⊺⇮1067)⊴(⊺⇮2336⪄⊺⇮4848)⩨(⊺⇮1113≧⫂∧⊺⇮4066⫩⊇))=NaN","reverse_text":"NaN=((≤/(↩⊺⇮1267))⋳⪒(⊺⇮1630⨐⩸⫘⊺⇮4471⋷⊺⇮2575∼⊺⇮2822))⩷∴((⊺⇮2486⪢⊺⇮1067)⊴(⊺⇮2336⪄⊺⇮4848)⩨(⊺⇮1113≧⫂∧⊺⇮4066⫩⊇))","cot":[{"info":"↩⊺⇮1267=⊺⇮-7356","layer":3},{"info":"≤/⊺⇮-7356=⊺⇮7840","layer":2},{"info":"⊺⇮1630⨐⩸⫘⊺⇮4471=NaN","layer":3},{"info":"⊺⇮2575∼⊺⇮2822=NaN","layer":3},{"info":"NaN⋷NaN=NaN","layer":2},{"info":"⊺⇮7840⋳⪒NaN=NaN","layer":1},{"info":"⊺⇮2486⪢⊺⇮1067=NaN","layer":3},{"info":"⊺⇮2336⪄⊺⇮4848=⊺⇮-361209","layer":3},{"info":"NaN⊴⊺⇮-361209=NaN","layer":2},{"info":"⊺⇮1113≧⫂∧⊺⇮4066=⊺⇮3593","layer":3},{"info":"⊺⇮3593⫩⊇=⊺⇮-3551","layer":2},{"info":"NaN⩨⊺⇮-3551=NaN","layer":1},{"info":"NaN⩷∴NaN=NaN","layer":0}]}
{"id":486,"expression_no_base_symbol":"(($1816$⨟⋌⩍$3731$-$3532$⨪↰⇹$1266$)⫸⊐($4419$⊪)∑⇟⊟($4396$∲⫓$6114$))+⇶⊼(($1860$⪨≂$2177$)⩚⊴⇥$1461$⨪↰⇹$3988$)↬(($2562$⊭∹↮)+(≤/$7425$))","expression":"((⊺⇮1816⨟⋌⩍⊺⇮3731-⊺⇮3532⨪↰⇹⊺⇮1266)⫸⊐(⊺⇮4419⊪)∑⇟⊟(⊺⇮4396∲⫓⊺⇮6114))+⇶⊼((⊺⇮1860⪨≂⊺⇮2177)⩚⊴⇥⊺⇮1461⨪↰⇹⊺⇮3988)↬((⊺⇮2562⊭∹↮)+(≤/⊺⇮7425))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5053,"operation_count":15,"complexity_ratio":336.8666666666667,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1816,"base":10},"right_expr":{"type":"numeric_atoms","value":3731,"base":10}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3532,"base":10},"right_expr":{"type":"numeric_atoms","value":1266,"base":10}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":4419,"base":10}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4396,"base":10},"right_expr":{"type":"numeric_atoms","value":6114,"base":10}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1860,"base":10},"right_expr":{"type":"numeric_atoms","value":2177,"base":10}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1461,"base":10},"right_expr":{"type":"numeric_atoms","value":3988,"base":10}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":2562,"base":10}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":7425,"base":10}}}}},"used_operators":["TpPTUOHfaN","mqXw5SEYmG","rysDP5nf3Z","rGHVDoGpnC","tmPS8pqC7x","U7g4x0WXJJ","zVYPLywUTj","i8ToyICDmI","B5M0gjZbta","NTOWxs364D","sdazOOVcIp","W4YGzv6Whe","xNBdhnnwKq","eLAdDNolq6"],"dependent_operators":["AHs5Up7iyr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","Tcnh7f0tEr","rJVOvQCfKK","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1816","layer":4},{"info":"number node, value=3731","layer":4},{"info":"compute binary expreesion, left_input=1816, right_input=3731, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=3532","layer":4},{"info":"number node, value=1266","layer":4},{"info":"compute binary expreesion, left_input=3532, right_input=1266, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3532","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3532, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=4419","layer":4},{"info":"compute unary expreesion, input=4419, 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=4396","layer":4},{"info":"number node, value=6114","layer":4},{"info":"compute binary expreesion, left_input=4396, right_input=6114, 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 = 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 = 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=1860","layer":4},{"info":"number node, value=2177","layer":4},{"info":"compute binary expreesion, left_input=1860, right_input=2177, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-532","layer":3},{"info":"number node, value=1461","layer":4},{"info":"number node, value=3988","layer":4},{"info":"compute binary expreesion, left_input=1461, right_input=3988, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1461","layer":3},{"info":"compute binary expreesion, left_input=-532, right_input=1461, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-1050","layer":2},{"info":"number node, value=2562","layer":4},{"info":"compute unary expreesion, input=2562, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=5124","layer":3},{"info":"number node, value=7425","layer":4},{"info":"compute unary expreesion, input=7425, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-6941","layer":3},{"info":"compute binary expreesion, left_input=5124, right_input=-6941, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-1817","layer":2},{"info":"compute binary expreesion, left_input=-1050, right_input=-1817, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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":10,"result_base":10,"text":"((⊺⇮1816⨟⋌⩍⊺⇮3731-⊺⇮3532⨪↰⇹⊺⇮1266)⫸⊐(⊺⇮4419⊪)∑⇟⊟(⊺⇮4396∲⫓⊺⇮6114))+⇶⊼((⊺⇮1860⪨≂⊺⇮2177)⩚⊴⇥⊺⇮1461⨪↰⇹⊺⇮3988)↬((⊺⇮2562⊭∹↮)+(≤/⊺⇮7425))=NaN","reverse_text":"NaN=((⊺⇮1816⨟⋌⩍⊺⇮3731-⊺⇮3532⨪↰⇹⊺⇮1266)⫸⊐(⊺⇮4419⊪)∑⇟⊟(⊺⇮4396∲⫓⊺⇮6114))+⇶⊼((⊺⇮1860⪨≂⊺⇮2177)⩚⊴⇥⊺⇮1461⨪↰⇹⊺⇮3988)↬((⊺⇮2562⊭∹↮)+(≤/⊺⇮7425))","cot":[{"info":"⊺⇮1816⨟⋌⩍⊺⇮3731=NaN","layer":3},{"info":"⊺⇮3532⨪↰⇹⊺⇮1266=⊺⇮3532","layer":3},{"info":"NaN-⊺⇮3532=NaN","layer":2},{"info":"⊺⇮4419⊪=⊺⇮0","layer":3},{"info":"⊺⇮4396∲⫓⊺⇮6114=⊺⇮0","layer":3},{"info":"⊺⇮0∑⇟⊟⊺⇮0=⊺⇮0","layer":2},{"info":"NaN⫸⊐⊺⇮0=NaN","layer":1},{"info":"⊺⇮1860⪨≂⊺⇮2177=⊺⇮-532","layer":3},{"info":"⊺⇮1461⨪↰⇹⊺⇮3988=⊺⇮1461","layer":3},{"info":"⊺⇮-532⩚⊴⇥⊺⇮1461=⊺⇮-1050","layer":2},{"info":"⊺⇮2562⊭∹↮=⊺⇮5124","layer":3},{"info":"≤/⊺⇮7425=⊺⇮-6941","layer":3},{"info":"⊺⇮5124+⊺⇮-6941=⊺⇮-1817","layer":2},{"info":"⊺⇮-1050↬⊺⇮-1817=NaN","layer":1},{"info":"NaN+⇶⊼NaN=NaN","layer":0}]}
{"id":487,"expression_no_base_symbol":"(∥⊫$6647$⋳⪒$4599$⫸⊐($1264$∲⫓$1065$))⫩⊇","expression":"(∥⊫⊺⇮6647⋳⪒⊺⇮4599⫸⊐(⊺⇮1264∲⫓⊺⇮1065))⫩⊇","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":39,"operation_count":5,"complexity_ratio":7.8,"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":6647,"base":10},"right_expr":{"type":"numeric_atoms","value":4599,"base":10}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1264,"base":10},"right_expr":{"type":"numeric_atoms","value":1065,"base":10}}}}},"used_operators":["BjRHVeLaeN","P8v4zCKN1o","mqXw5SEYmG","12rbrZMWeM","i8ToyICDmI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮-701","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6647","layer":4},{"info":"number node, value=4599","layer":4},{"info":"compute binary expreesion, left_input=6647, right_input=4599, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=8408","layer":3},{"info":"number node, value=1264","layer":4},{"info":"number node, value=1065","layer":4},{"info":"compute binary expreesion, left_input=1264, right_input=1065, 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=8408, right_input=0, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-125","layer":2},{"info":"compute unary expreesion, input=-125, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=743","layer":1},{"info":"compute unary expreesion, input=743, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-701","layer":0}],"base":10,"result_base":10,"text":"(∥⊫⊺⇮6647⋳⪒⊺⇮4599⫸⊐(⊺⇮1264∲⫓⊺⇮1065))⫩⊇=⊺⇮-701","reverse_text":"⊺⇮-701=(∥⊫⊺⇮6647⋳⪒⊺⇮4599⫸⊐(⊺⇮1264∲⫓⊺⇮1065))⫩⊇","cot":[{"info":"⊺⇮6647⋳⪒⊺⇮4599=⊺⇮8408","layer":3},{"info":"⊺⇮1264∲⫓⊺⇮1065=⊺⇮0","layer":3},{"info":"⊺⇮8408⫸⊐⊺⇮0=⊺⇮-125","layer":2},{"info":"∥⊫⊺⇮-125=⊺⇮743","layer":1},{"info":"⊺⇮743⫩⊇=⊺⇮-701","layer":0}]}
{"id":488,"expression_no_base_symbol":"($1937$⪘⫢$3589$)⪮%⊝($3341$⇋≉)⩷∴(⊄⩳↩$1607$⨟⋌⩍$4946$)+⇶⊼(($1689$⩚⊴⇥$4633$)⨰($4278$⫸⊐$1139$)⨵⪆($7768$≫≃)∲⫓($3565$+$2367$))","expression":"(⊺⇮1937⪘⫢⊺⇮3589)⪮%⊝(⊺⇮3341⇋≉)⩷∴(⊄⩳↩⊺⇮1607⨟⋌⩍⊺⇮4946)+⇶⊼((⊺⇮1689⩚⊴⇥⊺⇮4633)⨰(⊺⇮4278⫸⊐⊺⇮1139)⨵⪆(⊺⇮7768≫≃)∲⫓(⊺⇮3565+⊺⇮2367))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":82,"operation_count":14,"complexity_ratio":5.857142857142857,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1937,"base":10},"right_expr":{"type":"numeric_atoms","value":3589,"base":10}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":3341,"base":10}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1607,"base":10},"right_expr":{"type":"numeric_atoms","value":4946,"base":10}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1689,"base":10},"right_expr":{"type":"numeric_atoms","value":4633,"base":10}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4278,"base":10},"right_expr":{"type":"numeric_atoms","value":1139,"base":10}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":7768,"base":10}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3565,"base":10},"right_expr":{"type":"numeric_atoms","value":2367,"base":10}}}}},"used_operators":["TpPTUOHfaN","9FxExcQeMw","IWmyXbctLI","oacrs7FA3X","XIabStNQrY","8w2t5hMYqp","rGHVDoGpnC","2DQ55sFlQl","eewbuw0ToL","NTOWxs364D","mqXw5SEYmG","i8ToyICDmI","X99M06cbEe","W4YGzv6Whe"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1937","layer":4},{"info":"number node, value=3589","layer":4},{"info":"compute binary expreesion, left_input=1937, right_input=3589, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3750","layer":3},{"info":"number node, value=3341","layer":4},{"info":"compute unary expreesion, input=3341, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=6584","layer":3},{"info":"compute binary expreesion, left_input=3750, right_input=6584, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=7816","layer":2},{"info":"number node, value=1607","layer":4},{"info":"number node, value=4946","layer":4},{"info":"compute binary expreesion, left_input=1607, right_input=4946, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=7816, 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=1689","layer":4},{"info":"number node, value=4633","layer":4},{"info":"compute binary expreesion, left_input=1689, right_input=4633, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6443","layer":3},{"info":"number node, value=4278","layer":4},{"info":"number node, value=1139","layer":4},{"info":"compute binary expreesion, left_input=4278, right_input=1139, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4431","layer":3},{"info":"compute binary expreesion, left_input=-6443, right_input=4431, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-10864","layer":2},{"info":"number node, value=7768","layer":4},{"info":"compute unary expreesion, input=7768, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=16937","layer":3},{"info":"number node, value=3565","layer":4},{"info":"number node, value=2367","layer":4},{"info":"compute binary expreesion, left_input=3565, right_input=2367, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5932","layer":3},{"info":"compute binary expreesion, left_input=16937, right_input=5932, 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=-10864, right_input=0, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=nan, 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":0}],"base":10,"result_base":10,"text":"(⊺⇮1937⪘⫢⊺⇮3589)⪮%⊝(⊺⇮3341⇋≉)⩷∴(⊄⩳↩⊺⇮1607⨟⋌⩍⊺⇮4946)+⇶⊼((⊺⇮1689⩚⊴⇥⊺⇮4633)⨰(⊺⇮4278⫸⊐⊺⇮1139)⨵⪆(⊺⇮7768≫≃)∲⫓(⊺⇮3565+⊺⇮2367))=NaN","reverse_text":"NaN=(⊺⇮1937⪘⫢⊺⇮3589)⪮%⊝(⊺⇮3341⇋≉)⩷∴(⊄⩳↩⊺⇮1607⨟⋌⩍⊺⇮4946)+⇶⊼((⊺⇮1689⩚⊴⇥⊺⇮4633)⨰(⊺⇮4278⫸⊐⊺⇮1139)⨵⪆(⊺⇮7768≫≃)∲⫓(⊺⇮3565+⊺⇮2367))","cot":[{"info":"⊺⇮1937⪘⫢⊺⇮3589=⊺⇮3750","layer":3},{"info":"⊺⇮3341⇋≉=⊺⇮6584","layer":3},{"info":"⊺⇮3750⪮%⊝⊺⇮6584=⊺⇮7816","layer":2},{"info":"⊺⇮1607⨟⋌⩍⊺⇮4946=NaN","layer":3},{"info":"⊄⩳↩NaN=NaN","layer":2},{"info":"⊺⇮7816⩷∴NaN=NaN","layer":1},{"info":"⊺⇮1689⩚⊴⇥⊺⇮4633=⊺⇮-6443","layer":3},{"info":"⊺⇮4278⫸⊐⊺⇮1139=⊺⇮4431","layer":3},{"info":"⊺⇮-6443⨰⊺⇮4431=⊺⇮-10864","layer":2},{"info":"⊺⇮7768≫≃=⊺⇮16937","layer":3},{"info":"⊺⇮3565+⊺⇮2367=⊺⇮5932","layer":3},{"info":"⊺⇮16937∲⫓⊺⇮5932=⊺⇮0","layer":2},{"info":"⊺⇮-10864⨵⪆⊺⇮0=⊺⇮160","layer":1},{"info":"NaN+⇶⊼⊺⇮160=NaN","layer":0}]}
{"id":489,"expression_no_base_symbol":"(($2022$⫡⨏$2605$)⊴($4945$∀⇚≩$4854$)≣⋋)⇷(⫛⫱⨽($5036$≹⇙⪍$6573$⪨≂$4609$≹⇙⪍$2155$))","expression":"((⊺⇮2022⫡⨏⊺⇮2605)⊴(⊺⇮4945∀⇚≩⊺⇮4854)≣⋋)⇷(⫛⫱⨽(⊺⇮5036≹⇙⪍⊺⇮6573⪨≂⊺⇮4609≹⇙⪍⊺⇮2155))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":35559,"operation_count":9,"complexity_ratio":3951.0,"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":2022,"base":10},"right_expr":{"type":"numeric_atoms","value":2605,"base":10}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4945,"base":10},"right_expr":{"type":"numeric_atoms","value":4854,"base":10}}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5036,"base":10},"right_expr":{"type":"numeric_atoms","value":6573,"base":10}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":4609,"base":10},"right_expr":{"type":"numeric_atoms","value":2155,"base":10}}}}},"used_operators":["mp7IySMOzn","Tcnh7f0tEr","Nsiff2A1zJ","QMFrweE19q","LRNGc0VcxI","DlLNRPXxWL","sdazOOVcIp","AHs5Up7iyr"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2022","layer":4},{"info":"number node, value=2605","layer":4},{"info":"compute binary expreesion, left_input=2022, right_input=2605, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=16103","layer":3},{"info":"number node, value=4945","layer":4},{"info":"number node, value=4854","layer":4},{"info":"compute binary expreesion, left_input=4945, right_input=4854, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=16103, 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 = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=nan","layer":1},{"info":"number node, value=5036","layer":4},{"info":"number node, value=6573","layer":4},{"info":"compute binary expreesion, left_input=5036, right_input=6573, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=4609","layer":4},{"info":"number node, value=2155","layer":4},{"info":"compute binary expreesion, left_input=4609, right_input=2155, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":2},{"info":"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 = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮2022⫡⨏⊺⇮2605)⊴(⊺⇮4945∀⇚≩⊺⇮4854)≣⋋)⇷(⫛⫱⨽(⊺⇮5036≹⇙⪍⊺⇮6573⪨≂⊺⇮4609≹⇙⪍⊺⇮2155))=NaN","reverse_text":"NaN=((⊺⇮2022⫡⨏⊺⇮2605)⊴(⊺⇮4945∀⇚≩⊺⇮4854)≣⋋)⇷(⫛⫱⨽(⊺⇮5036≹⇙⪍⊺⇮6573⪨≂⊺⇮4609≹⇙⪍⊺⇮2155))","cot":[{"info":"⊺⇮2022⫡⨏⊺⇮2605=⊺⇮16103","layer":3},{"info":"⊺⇮4945∀⇚≩⊺⇮4854=NaN","layer":3},{"info":"⊺⇮16103⊴NaN=NaN","layer":2},{"info":"NaN≣⋋=NaN","layer":1},{"info":"⊺⇮5036≹⇙⪍⊺⇮6573=NaN","layer":3},{"info":"⊺⇮4609≹⇙⪍⊺⇮2155=NaN","layer":3},{"info":"NaN⪨≂NaN=NaN","layer":2},{"info":"⫛⫱⨽NaN=NaN","layer":1},{"info":"NaN⇷NaN=NaN","layer":0}]}
{"id":490,"expression_no_base_symbol":"⊙↵-(($4011$∑⇟⊟$1516$⫥∨⫟$1146$⪮%⊝$1030$)+⇶⊼((∂$2574$)⩤))","expression":"⊙↵-((⊺⇮4011∑⇟⊟⊺⇮1516⫥∨⫟⊺⇮1146⪮%⊝⊺⇮1030)+⇶⊼((∂⊺⇮2574)⩤))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":194,"operation_count":7,"complexity_ratio":27.714285714285715,"tree":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":4011,"base":10},"right_expr":{"type":"numeric_atoms","value":1516,"base":10}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1146,"base":10},"right_expr":{"type":"numeric_atoms","value":1030,"base":10}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2574,"base":10}}}}},"used_operators":["oWn0xqSxBt","TpPTUOHfaN","KYD54nUTWz","U7g4x0WXJJ","IWmyXbctLI","Z2TMIBDE3Q","Uaa54Peajs"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=4011","layer":4},{"info":"number node, value=1516","layer":4},{"info":"compute binary expreesion, left_input=4011, right_input=1516, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1146","layer":4},{"info":"number node, value=1030","layer":4},{"info":"compute binary expreesion, left_input=1146, right_input=1030, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2608","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2608, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=2574","layer":4},{"info":"compute unary expreesion, input=2574, 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 = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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":10,"result_base":10,"text":"⊙↵-((⊺⇮4011∑⇟⊟⊺⇮1516⫥∨⫟⊺⇮1146⪮%⊝⊺⇮1030)+⇶⊼((∂⊺⇮2574)⩤))=NaN","reverse_text":"NaN=⊙↵-((⊺⇮4011∑⇟⊟⊺⇮1516⫥∨⫟⊺⇮1146⪮%⊝⊺⇮1030)+⇶⊼((∂⊺⇮2574)⩤))","cot":[{"info":"⊺⇮4011∑⇟⊟⊺⇮1516=NaN","layer":3},{"info":"⊺⇮1146⪮%⊝⊺⇮1030=⊺⇮2608","layer":3},{"info":"NaN⫥∨⫟⊺⇮2608=NaN","layer":2},{"info":"∂⊺⇮2574=NaN","layer":3},{"info":"NaN⩤=NaN","layer":2},{"info":"NaN+⇶⊼NaN=NaN","layer":1},{"info":"⊙↵-NaN=NaN","layer":0}]}
{"id":491,"expression_no_base_symbol":"((+⊝⨔($3633$⊭↱$6295$))⫡⨏(⫛⫱⨽($1634$⨰$1256$)))⪒($3379$⪐)⋥≓≎($3660$⪠⩆⊳)⨳⩥⨓$6500$∀⇚≩$1478$⩷∴($1745$⩷∴$1532$)","expression":"((+⊝⨔(⊺⇮3633⊭↱⊺⇮6295))⫡⨏(⫛⫱⨽(⊺⇮1634⨰⊺⇮1256)))⪒(⊺⇮3379⪐)⋥≓≎(⊺⇮3660⪠⩆⊳)⨳⩥⨓⊺⇮6500∀⇚≩⊺⇮1478⩷∴(⊺⇮1745⩷∴⊺⇮1532)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":46888,"operation_count":13,"complexity_ratio":3606.769230769231,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3633,"base":10},"right_expr":{"type":"numeric_atoms","value":6295,"base":10}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1634,"base":10},"right_expr":{"type":"numeric_atoms","value":1256,"base":10}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":3379,"base":10}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":3660,"base":10}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":6500,"base":10},"right_expr":{"type":"numeric_atoms","value":1478,"base":10}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1745,"base":10},"right_expr":{"type":"numeric_atoms","value":1532,"base":10}}}}},"used_operators":["f6k1SAg4EE","QMFrweE19q","DhbWaqg5eL","COABgblf1C","DlLNRPXxWL","eewbuw0ToL","nCS4ZIUYfx","Qy55tPpLXF","eH2TOUuTDT","JLbD19bQDL","9FxExcQeMw","LRNGc0VcxI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3633","layer":4},{"info":"number node, value=6295","layer":4},{"info":"compute binary expreesion, left_input=3633, right_input=6295, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=5329","layer":3},{"info":"compute unary expreesion, input=5329, 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=1634","layer":4},{"info":"number node, value=1256","layer":4},{"info":"compute binary expreesion, left_input=1634, right_input=1256, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=388","layer":3},{"info":"compute unary expreesion, input=388, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=1522, 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=8393","layer":1},{"info":"number node, value=3379","layer":4},{"info":"compute unary expreesion, input=3379, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=6758","layer":3},{"info":"number node, value=3660","layer":4},{"info":"compute unary expreesion, input=3660, 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=6758, right_input=0, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-6725","layer":2},{"info":"number node, value=6500","layer":4},{"info":"number node, value=1478","layer":4},{"info":"compute binary expreesion, left_input=6500, right_input=1478, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1745","layer":4},{"info":"number node, value=1532","layer":4},{"info":"compute binary expreesion, left_input=1745, right_input=1532, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=394","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=394, 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=-6725, 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=8393, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((+⊝⨔(⊺⇮3633⊭↱⊺⇮6295))⫡⨏(⫛⫱⨽(⊺⇮1634⨰⊺⇮1256)))⪒(⊺⇮3379⪐)⋥≓≎(⊺⇮3660⪠⩆⊳)⨳⩥⨓⊺⇮6500∀⇚≩⊺⇮1478⩷∴(⊺⇮1745⩷∴⊺⇮1532)=NaN","reverse_text":"NaN=((+⊝⨔(⊺⇮3633⊭↱⊺⇮6295))⫡⨏(⫛⫱⨽(⊺⇮1634⨰⊺⇮1256)))⪒(⊺⇮3379⪐)⋥≓≎(⊺⇮3660⪠⩆⊳)⨳⩥⨓⊺⇮6500∀⇚≩⊺⇮1478⩷∴(⊺⇮1745⩷∴⊺⇮1532)","cot":[{"info":"⊺⇮3633⊭↱⊺⇮6295=⊺⇮5329","layer":3},{"info":"+⊝⨔⊺⇮5329=⊺⇮1522","layer":2},{"info":"⊺⇮1634⨰⊺⇮1256=⊺⇮388","layer":3},{"info":"⫛⫱⨽⊺⇮388=⊺⇮0","layer":2},{"info":"⊺⇮1522⫡⨏⊺⇮0=⊺⇮8393","layer":1},{"info":"⊺⇮3379⪐=⊺⇮6758","layer":3},{"info":"⊺⇮3660⪠⩆⊳=⊺⇮0","layer":3},{"info":"⊺⇮6758⋥≓≎⊺⇮0=⊺⇮-6725","layer":2},{"info":"⊺⇮6500∀⇚≩⊺⇮1478=NaN","layer":3},{"info":"⊺⇮1745⩷∴⊺⇮1532=⊺⇮394","layer":3},{"info":"NaN⩷∴⊺⇮394=NaN","layer":2},{"info":"⊺⇮-6725⨳⩥⨓NaN=NaN","layer":1},{"info":"⊺⇮8393⪒NaN=NaN","layer":0}]}
{"id":492,"expression_no_base_symbol":"⫛⫱⨽(⊥($2347$≹⇙⪍$1175$↺$1396$⋓$2771$))","expression":"⫛⫱⨽(⊥(⊺⇮2347≹⇙⪍⊺⇮1175↺⊺⇮1396⋓⊺⇮2771))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":929,"operation_count":5,"complexity_ratio":185.8,"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":2347,"base":10},"right_expr":{"type":"numeric_atoms","value":1175,"base":10}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1396,"base":10},"right_expr":{"type":"numeric_atoms","value":2771,"base":10}}}}},"used_operators":["DlLNRPXxWL","Q3PJZHRvZv","7j4O788W3g","AHs5Up7iyr","T2fj7uvVaJ"],"dependent_operators":["rGHVDoGpnC","fu6greOZ01","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=2347","layer":4},{"info":"number node, value=1175","layer":4},{"info":"compute binary expreesion, left_input=2347, right_input=1175, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=1396","layer":4},{"info":"number node, value=2771","layer":4},{"info":"compute binary expreesion, left_input=1396, right_input=2771, op_id = T2fj7uvVaJ binary_op_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 = 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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":0}],"base":10,"result_base":10,"text":"⫛⫱⨽(⊥(⊺⇮2347≹⇙⪍⊺⇮1175↺⊺⇮1396⋓⊺⇮2771))=⊺⇮0","reverse_text":"⊺⇮0=⫛⫱⨽(⊥(⊺⇮2347≹⇙⪍⊺⇮1175↺⊺⇮1396⋓⊺⇮2771))","cot":[{"info":"⊺⇮2347≹⇙⪍⊺⇮1175=NaN","layer":3},{"info":"⊺⇮1396⋓⊺⇮2771=⊺⇮0","layer":3},{"info":"NaN↺⊺⇮0=⊺⇮0","layer":2},{"info":"⊥⊺⇮0=⊺⇮0","layer":1},{"info":"⫛⫱⨽⊺⇮0=⊺⇮0","layer":0}]}
{"id":493,"expression_no_base_symbol":"(($3597$/$6420$)%(+⊝⨔$2735$))⊴(($1379$%$3623$)≣⋋)≣⋋","expression":"((⊺⇮3597/⊺⇮6420)%(+⊝⨔⊺⇮2735))⊴((⊺⇮1379%⊺⇮3623)≣⋋)≣⋋","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":646,"operation_count":7,"complexity_ratio":92.28571428571429,"tree":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3597,"base":10},"right_expr":{"type":"numeric_atoms","value":6420,"base":10}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2735,"base":10}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1379,"base":10},"right_expr":{"type":"numeric_atoms","value":3623,"base":10}}}}},"used_operators":["Tcnh7f0tEr","Nsiff2A1zJ","k8jYdgA6NY","XhwjNDsVaA","DhbWaqg5eL"],"dependent_operators":["dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","rysDP5nf3Z","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3597","layer":4},{"info":"number node, value=6420","layer":4},{"info":"compute binary expreesion, left_input=3597, right_input=6420, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=2735","layer":4},{"info":"compute unary expreesion, input=2735, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1522, op_id = k8jYdgA6NY binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=1379","layer":4},{"info":"number node, value=3623","layer":4},{"info":"compute binary expreesion, left_input=1379, right_input=3623, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1379","layer":3},{"info":"compute unary expreesion, input=1379, 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=0, 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 = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮3597/⊺⇮6420)%(+⊝⨔⊺⇮2735))⊴((⊺⇮1379%⊺⇮3623)≣⋋)≣⋋=⊺⇮0","reverse_text":"⊺⇮0=((⊺⇮3597/⊺⇮6420)%(+⊝⨔⊺⇮2735))⊴((⊺⇮1379%⊺⇮3623)≣⋋)≣⋋","cot":[{"info":"⊺⇮3597/⊺⇮6420=⊺⇮0","layer":3},{"info":"+⊝⨔⊺⇮2735=⊺⇮1522","layer":3},{"info":"⊺⇮0%⊺⇮1522=⊺⇮0","layer":2},{"info":"⊺⇮1379%⊺⇮3623=⊺⇮1379","layer":3},{"info":"⊺⇮1379≣⋋=⊺⇮0","layer":2},{"info":"⊺⇮0⊴⊺⇮0=⊺⇮-79","layer":1},{"info":"⊺⇮-79≣⋋=⊺⇮0","layer":0}]}
{"id":494,"expression_no_base_symbol":"(($2944$⨰$2236$/$2025$≧⫂∧$5264$)⨸⪁(∂$3665$⨪↰⇹$4964$))⋳⪒($5224$⩚⊴⇥$1001$⊉≛↸($3664$⫌⩹⨱)⊭↱(⋗⩬⋾$4996$≧⫂∧$4080$))","expression":"((⊺⇮2944⨰⊺⇮2236/⊺⇮2025≧⫂∧⊺⇮5264)⨸⪁(∂⊺⇮3665⨪↰⇹⊺⇮4964))⋳⪒(⊺⇮5224⩚⊴⇥⊺⇮1001⊉≛↸(⊺⇮3664⫌⩹⨱)⊭↱(⋗⩬⋾⊺⇮4996≧⫂∧⊺⇮4080))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3708,"operation_count":13,"complexity_ratio":285.2307692307692,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2944,"base":10},"right_expr":{"type":"numeric_atoms","value":2236,"base":10}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2025,"base":10},"right_expr":{"type":"numeric_atoms","value":5264,"base":10}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3665,"base":10},"right_expr":{"type":"numeric_atoms","value":4964,"base":10}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":5224,"base":10},"right_expr":{"type":"numeric_atoms","value":1001,"base":10}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":3664,"base":10}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4996,"base":10},"right_expr":{"type":"numeric_atoms","value":4080,"base":10}}}}},"used_operators":["12rbrZMWeM","g55IO6H4Gj","XhwjNDsVaA","eewbuw0ToL","Ph9nP6C5qx","Uaa54Peajs","tmPS8pqC7x","COABgblf1C","DZ8iAZOCBD","NTOWxs364D","EBcxylXtPf","DpFCA1CohY"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2944","layer":4},{"info":"number node, value=2236","layer":4},{"info":"compute binary expreesion, left_input=2944, right_input=2236, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=718","layer":3},{"info":"number node, value=2025","layer":4},{"info":"number node, value=5264","layer":4},{"info":"compute binary expreesion, left_input=2025, right_input=5264, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4791","layer":3},{"info":"compute binary expreesion, left_input=718, right_input=4791, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=3665","layer":4},{"info":"number node, value=4964","layer":4},{"info":"compute binary expreesion, left_input=3665, right_input=4964, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3665","layer":3},{"info":"compute unary expreesion, input=3665, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":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=5224","layer":4},{"info":"number node, value=1001","layer":4},{"info":"compute binary expreesion, left_input=5224, right_input=1001, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6346","layer":3},{"info":"number node, value=3664","layer":4},{"info":"compute unary expreesion, input=3664, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=8729","layer":3},{"info":"compute binary expreesion, left_input=-6346, right_input=8729, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-8729","layer":2},{"info":"number node, value=4996","layer":4},{"info":"number node, value=4080","layer":4},{"info":"compute binary expreesion, left_input=4996, right_input=4080, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3607","layer":3},{"info":"compute unary expreesion, input=3607, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-10821","layer":2},{"info":"compute binary expreesion, left_input=-8729, right_input=-10821, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-4179","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-4179, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮2944⨰⊺⇮2236/⊺⇮2025≧⫂∧⊺⇮5264)⨸⪁(∂⊺⇮3665⨪↰⇹⊺⇮4964))⋳⪒(⊺⇮5224⩚⊴⇥⊺⇮1001⊉≛↸(⊺⇮3664⫌⩹⨱)⊭↱(⋗⩬⋾⊺⇮4996≧⫂∧⊺⇮4080))=NaN","reverse_text":"NaN=((⊺⇮2944⨰⊺⇮2236/⊺⇮2025≧⫂∧⊺⇮5264)⨸⪁(∂⊺⇮3665⨪↰⇹⊺⇮4964))⋳⪒(⊺⇮5224⩚⊴⇥⊺⇮1001⊉≛↸(⊺⇮3664⫌⩹⨱)⊭↱(⋗⩬⋾⊺⇮4996≧⫂∧⊺⇮4080))","cot":[{"info":"⊺⇮2944⨰⊺⇮2236=⊺⇮718","layer":3},{"info":"⊺⇮2025≧⫂∧⊺⇮5264=⊺⇮4791","layer":3},{"info":"⊺⇮718/⊺⇮4791=⊺⇮0","layer":2},{"info":"⊺⇮3665⨪↰⇹⊺⇮4964=⊺⇮3665","layer":3},{"info":"∂⊺⇮3665=NaN","layer":2},{"info":"⊺⇮0⨸⪁NaN=NaN","layer":1},{"info":"⊺⇮5224⩚⊴⇥⊺⇮1001=⊺⇮-6346","layer":3},{"info":"⊺⇮3664⫌⩹⨱=⊺⇮8729","layer":3},{"info":"⊺⇮-6346⊉≛↸⊺⇮8729=⊺⇮-8729","layer":2},{"info":"⊺⇮4996≧⫂∧⊺⇮4080=⊺⇮3607","layer":3},{"info":"⋗⩬⋾⊺⇮3607=⊺⇮-10821","layer":2},{"info":"⊺⇮-8729⊭↱⊺⇮-10821=⊺⇮-4179","layer":1},{"info":"NaN⋳⪒⊺⇮-4179=NaN","layer":0}]}
{"id":495,"expression_no_base_symbol":"($2579$⨸⪁$2242$↛⩡⫤)⪮%⊝(($1553$⪐)+$5624$⨟⋌⩍$1187$)≣⋋","expression":"(⊺⇮2579⨸⪁⊺⇮2242↛⩡⫤)⪮%⊝((⊺⇮1553⪐)+⊺⇮5624⨟⋌⩍⊺⇮1187)≣⋋","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":29080,"operation_count":7,"complexity_ratio":4154.285714285715,"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":2579,"base":10},"right_expr":{"type":"numeric_atoms","value":2242,"base":10}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1553,"base":10}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":5624,"base":10},"right_expr":{"type":"numeric_atoms","value":1187,"base":10}}}}},"used_operators":["Tcnh7f0tEr","IWmyXbctLI","FU0Cs4j7VP","g55IO6H4Gj","W4YGzv6Whe","eH2TOUuTDT","rGHVDoGpnC"],"dependent_operators":["dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2579","layer":4},{"info":"number node, value=2242","layer":4},{"info":"compute binary expreesion, left_input=2579, right_input=2242, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9642","layer":3},{"info":"compute unary expreesion, input=9642, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-1452031","layer":2},{"info":"number node, value=1553","layer":4},{"info":"compute unary expreesion, input=1553, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=3106","layer":3},{"info":"number node, value=5624","layer":4},{"info":"number node, value=1187","layer":4},{"info":"compute binary expreesion, left_input=5624, right_input=1187, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=3106, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1452031, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮2579⨸⪁⊺⇮2242↛⩡⫤)⪮%⊝((⊺⇮1553⪐)+⊺⇮5624⨟⋌⩍⊺⇮1187)≣⋋=NaN","reverse_text":"NaN=(⊺⇮2579⨸⪁⊺⇮2242↛⩡⫤)⪮%⊝((⊺⇮1553⪐)+⊺⇮5624⨟⋌⩍⊺⇮1187)≣⋋","cot":[{"info":"⊺⇮2579⨸⪁⊺⇮2242=⊺⇮9642","layer":3},{"info":"⊺⇮9642↛⩡⫤=⊺⇮-1452031","layer":2},{"info":"⊺⇮1553⪐=⊺⇮3106","layer":3},{"info":"⊺⇮5624⨟⋌⩍⊺⇮1187=NaN","layer":3},{"info":"⊺⇮3106+NaN=NaN","layer":2},{"info":"⊺⇮-1452031⪮%⊝NaN=NaN","layer":1},{"info":"NaN≣⋋=NaN","layer":0}]}
{"id":496,"expression_no_base_symbol":"(((≤/$3094$)⫸⊐($1455$⋫))⫌⩹⨱)⨰($2750$⪛$1108$-$7942$⨽$5404$)∼((⪲⇎$2699$)≭$1266$⊴$2574$)","expression":"(((≤/⊺⇮3094)⫸⊐(⊺⇮1455⋫))⫌⩹⨱)⨰(⊺⇮2750⪛⊺⇮1108-⊺⇮7942⨽⊺⇮5404)∼((⪲⇎⊺⇮2699)≭⊺⇮1266⊴⊺⇮2574)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3722633,"operation_count":12,"complexity_ratio":310219.4166666667,"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":3094,"base":10}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1455,"base":10}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2750,"base":10},"right_expr":{"type":"numeric_atoms","value":1108,"base":10}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":7942,"base":10},"right_expr":{"type":"numeric_atoms","value":5404,"base":10}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":2699,"base":10}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1266,"base":10},"right_expr":{"type":"numeric_atoms","value":2574,"base":10}}}}},"used_operators":["eewbuw0ToL","EBcxylXtPf","mqXw5SEYmG","eLAdDNolq6","JL8yIekQnl","DyGG3AbaNP","rysDP5nf3Z","uFcxV4UQCh","8HhzD0ZcuI","rxpJgHHUmx","XPYlsWDdGa","Nsiff2A1zJ"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","tmPS8pqC7x","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3094","layer":4},{"info":"compute unary expreesion, input=3094, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2610","layer":3},{"info":"number node, value=1455","layer":4},{"info":"compute unary expreesion, input=1455, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1455","layer":3},{"info":"compute binary expreesion, left_input=-2610, right_input=1455, 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 = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=3337","layer":1},{"info":"number node, value=2750","layer":4},{"info":"number node, value=1108","layer":4},{"info":"compute binary expreesion, left_input=2750, right_input=1108, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=534","layer":3},{"info":"number node, value=7942","layer":4},{"info":"number node, value=5404","layer":4},{"info":"compute binary expreesion, left_input=7942, right_input=5404, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-189240990","layer":3},{"info":"compute binary expreesion, left_input=534, right_input=-189240990, op_id = rysDP5nf3Z binary_op_definition= 'None', output=189241524","layer":2},{"info":"number node, value=2699","layer":4},{"info":"compute unary expreesion, input=2699, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=5398","layer":3},{"info":"number node, value=1266","layer":4},{"info":"number node, value=2574","layer":4},{"info":"compute binary expreesion, left_input=1266, right_input=2574, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5398, 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=189241524, 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=3337, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((≤/⊺⇮3094)⫸⊐(⊺⇮1455⋫))⫌⩹⨱)⨰(⊺⇮2750⪛⊺⇮1108-⊺⇮7942⨽⊺⇮5404)∼((⪲⇎⊺⇮2699)≭⊺⇮1266⊴⊺⇮2574)=NaN","reverse_text":"NaN=(((≤/⊺⇮3094)⫸⊐(⊺⇮1455⋫))⫌⩹⨱)⨰(⊺⇮2750⪛⊺⇮1108-⊺⇮7942⨽⊺⇮5404)∼((⪲⇎⊺⇮2699)≭⊺⇮1266⊴⊺⇮2574)","cot":[{"info":"≤/⊺⇮3094=⊺⇮-2610","layer":3},{"info":"⊺⇮1455⋫=⊺⇮1455","layer":3},{"info":"⊺⇮-2610⫸⊐⊺⇮1455=⊺⇮968","layer":2},{"info":"⊺⇮968⫌⩹⨱=⊺⇮3337","layer":1},{"info":"⊺⇮2750⪛⊺⇮1108=⊺⇮534","layer":3},{"info":"⊺⇮7942⨽⊺⇮5404=⊺⇮-189240990","layer":3},{"info":"⊺⇮534-⊺⇮-189240990=⊺⇮189241524","layer":2},{"info":"⪲⇎⊺⇮2699=⊺⇮5398","layer":3},{"info":"⊺⇮1266⊴⊺⇮2574=NaN","layer":3},{"info":"⊺⇮5398≭NaN=NaN","layer":2},{"info":"⊺⇮189241524∼NaN=NaN","layer":1},{"info":"⊺⇮3337⨰NaN=NaN","layer":0}]}
{"id":497,"expression_no_base_symbol":"((↥$2621$)⪢($2715$⪛$1305$)%($9235$⨐⩸⫘$2684$)∑⇟⊟(≉$2259$))*((($1620$%$2683$)⩨$4284$≧⫂∧$3287$)≣⋋)","expression":"((↥⊺⇮2621)⪢(⊺⇮2715⪛⊺⇮1305)%(⊺⇮9235⨐⩸⫘⊺⇮2684)∑⇟⊟(≉⊺⇮2259))*(((⊺⇮1620%⊺⇮2683)⩨⊺⇮4284≧⫂∧⊺⇮3287)≣⋋)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":179,"operation_count":12,"complexity_ratio":14.916666666666666,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2621,"base":10}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2715,"base":10},"right_expr":{"type":"numeric_atoms","value":1305,"base":10}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":9235,"base":10},"right_expr":{"type":"numeric_atoms","value":2684,"base":10}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2259,"base":10}}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1620,"base":10},"right_expr":{"type":"numeric_atoms","value":2683,"base":10}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4284,"base":10},"right_expr":{"type":"numeric_atoms","value":3287,"base":10}}}}},"used_operators":["9HNa5Wba9A","k8jYdgA6NY","dWAJyo7jo9","A8NUZmVepG","uFcxV4UQCh","U7g4x0WXJJ","fu6greOZ01","e1ybzncUwg","Tcnh7f0tEr","2DlMacCsIx","Ph9nP6C5qx"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","k8jYdgA6NY","k8jYdgA6NY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=2621","layer":4},{"info":"compute unary expreesion, input=2621, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=20","layer":3},{"info":"number node, value=2715","layer":4},{"info":"number node, value=1305","layer":4},{"info":"compute binary expreesion, left_input=2715, right_input=1305, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=105","layer":3},{"info":"compute binary expreesion, left_input=20, right_input=105, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=9235","layer":4},{"info":"number node, value=2684","layer":4},{"info":"compute binary expreesion, left_input=9235, right_input=2684, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=2259","layer":4},{"info":"compute unary expreesion, input=2259, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2790","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2790, 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=1620","layer":4},{"info":"number node, value=2683","layer":4},{"info":"compute binary expreesion, left_input=1620, right_input=2683, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1620","layer":3},{"info":"number node, value=4284","layer":4},{"info":"number node, value=3287","layer":4},{"info":"compute binary expreesion, left_input=4284, right_input=3287, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2814","layer":3},{"info":"compute binary expreesion, left_input=1620, right_input=2814, 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 = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":10,"result_base":10,"text":"((↥⊺⇮2621)⪢(⊺⇮2715⪛⊺⇮1305)%(⊺⇮9235⨐⩸⫘⊺⇮2684)∑⇟⊟(≉⊺⇮2259))*(((⊺⇮1620%⊺⇮2683)⩨⊺⇮4284≧⫂∧⊺⇮3287)≣⋋)=NaN","reverse_text":"NaN=((↥⊺⇮2621)⪢(⊺⇮2715⪛⊺⇮1305)%(⊺⇮9235⨐⩸⫘⊺⇮2684)∑⇟⊟(≉⊺⇮2259))*(((⊺⇮1620%⊺⇮2683)⩨⊺⇮4284≧⫂∧⊺⇮3287)≣⋋)","cot":[{"info":"↥⊺⇮2621=⊺⇮20","layer":3},{"info":"⊺⇮2715⪛⊺⇮1305=⊺⇮105","layer":3},{"info":"⊺⇮20⪢⊺⇮105=NaN","layer":2},{"info":"⊺⇮9235⨐⩸⫘⊺⇮2684=NaN","layer":3},{"info":"≉⊺⇮2259=⊺⇮2790","layer":3},{"info":"NaN∑⇟⊟⊺⇮2790=NaN","layer":2},{"info":"NaN%NaN=NaN","layer":1},{"info":"⊺⇮1620%⊺⇮2683=⊺⇮1620","layer":3},{"info":"⊺⇮4284≧⫂∧⊺⇮3287=⊺⇮2814","layer":3},{"info":"⊺⇮1620⩨⊺⇮2814=⊺⇮-3","layer":2},{"info":"⊺⇮-3≣⋋=⊺⇮0","layer":1},{"info":"NaN*⊺⇮0=NaN","layer":0}]}
{"id":498,"expression_no_base_symbol":"(⊥($5908$⨐⩸⫘$3458$⇼⇔∾$1022$⨎$6305$))↺(($5268$⪨≂$3192$)%$1969$+⇶⊼$1022$)∑⇟⊟($4391$⊉≛↸$5667$⫡⨏($2402$⪠⩆⊳))","expression":"(⊥(⊺⇮5908⨐⩸⫘⊺⇮3458⇼⇔∾⊺⇮1022⨎⊺⇮6305))↺((⊺⇮5268⪨≂⊺⇮3192)%⊺⇮1969+⇶⊼⊺⇮1022)∑⇟⊟(⊺⇮4391⊉≛↸⊺⇮5667⫡⨏(⊺⇮2402⪠⩆⊳))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":30,"operation_count":12,"complexity_ratio":2.5,"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":5908,"base":10},"right_expr":{"type":"numeric_atoms","value":3458,"base":10}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1022,"base":10},"right_expr":{"type":"numeric_atoms","value":6305,"base":10}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":5268,"base":10},"right_expr":{"type":"numeric_atoms","value":3192,"base":10}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1969,"base":10},"right_expr":{"type":"numeric_atoms","value":1022,"base":10}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4391,"base":10},"right_expr":{"type":"numeric_atoms","value":5667,"base":10}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":2402,"base":10}}}}},"used_operators":["7j4O788W3g","Q3PJZHRvZv","tifHPKVTfV","fu6greOZ01","rJVOvQCfKK","U7g4x0WXJJ","k8jYdgA6NY","sdazOOVcIp","TpPTUOHfaN","QMFrweE19q","DZ8iAZOCBD","JLbD19bQDL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5908","layer":4},{"info":"number node, value=3458","layer":4},{"info":"compute binary expreesion, left_input=5908, right_input=3458, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=1022","layer":4},{"info":"number node, value=6305","layer":4},{"info":"compute binary expreesion, left_input=1022, right_input=6305, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=6305","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6305, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', 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=5268","layer":4},{"info":"number node, value=3192","layer":4},{"info":"compute binary expreesion, left_input=5268, right_input=3192, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=4254","layer":3},{"info":"number node, value=1969","layer":4},{"info":"number node, value=1022","layer":4},{"info":"compute binary expreesion, left_input=1969, right_input=1022, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=4254, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=4391","layer":4},{"info":"number node, value=5667","layer":4},{"info":"compute binary expreesion, left_input=4391, right_input=5667, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=8782","layer":3},{"info":"number node, value=2402","layer":4},{"info":"compute unary expreesion, input=2402, 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=8782, 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=44693","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=44693, 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 = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊥(⊺⇮5908⨐⩸⫘⊺⇮3458⇼⇔∾⊺⇮1022⨎⊺⇮6305))↺((⊺⇮5268⪨≂⊺⇮3192)%⊺⇮1969+⇶⊼⊺⇮1022)∑⇟⊟(⊺⇮4391⊉≛↸⊺⇮5667⫡⨏(⊺⇮2402⪠⩆⊳))=NaN","reverse_text":"NaN=(⊥(⊺⇮5908⨐⩸⫘⊺⇮3458⇼⇔∾⊺⇮1022⨎⊺⇮6305))↺((⊺⇮5268⪨≂⊺⇮3192)%⊺⇮1969+⇶⊼⊺⇮1022)∑⇟⊟(⊺⇮4391⊉≛↸⊺⇮5667⫡⨏(⊺⇮2402⪠⩆⊳))","cot":[{"info":"⊺⇮5908⨐⩸⫘⊺⇮3458=NaN","layer":3},{"info":"⊺⇮1022⨎⊺⇮6305=⊺⇮6305","layer":3},{"info":"NaN⇼⇔∾⊺⇮6305=NaN","layer":2},{"info":"⊥NaN=NaN","layer":1},{"info":"⊺⇮5268⪨≂⊺⇮3192=⊺⇮4254","layer":3},{"info":"⊺⇮1969+⇶⊼⊺⇮1022=NaN","layer":3},{"info":"⊺⇮4254%NaN=NaN","layer":2},{"info":"⊺⇮4391⊉≛↸⊺⇮5667=⊺⇮8782","layer":3},{"info":"⊺⇮2402⪠⩆⊳=⊺⇮0","layer":3},{"info":"⊺⇮8782⫡⨏⊺⇮0=⊺⇮44693","layer":2},{"info":"NaN∑⇟⊟⊺⇮44693=NaN","layer":1},{"info":"NaN↺NaN=NaN","layer":0}]}
{"id":499,"expression_no_base_symbol":"(($2408$⪢$1071$⫸⊐($1959$⇼⇔∾$1712$))⪐)⋳⪒(↯⪼(($1487$⨁⊸⫻)⋓($5470$⋓$1378$)))","expression":"((⊺⇮2408⪢⊺⇮1071⫸⊐(⊺⇮1959⇼⇔∾⊺⇮1712))⪐)⋳⪒(↯⪼((⊺⇮1487⨁⊸⫻)⋓(⊺⇮5470⋓⊺⇮1378)))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1324,"operation_count":9,"complexity_ratio":147.11111111111111,"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":2408,"base":10},"right_expr":{"type":"numeric_atoms","value":1071,"base":10}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1959,"base":10},"right_expr":{"type":"numeric_atoms","value":1712,"base":10}}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1487,"base":10}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":5470,"base":10},"right_expr":{"type":"numeric_atoms","value":1378,"base":10}}}}},"used_operators":["12rbrZMWeM","eH2TOUuTDT","mqXw5SEYmG","dWAJyo7jo9","tifHPKVTfV","8jW3W4yZS5","T2fj7uvVaJ","glklzrTFfD"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2408","layer":4},{"info":"number node, value=1071","layer":4},{"info":"compute binary expreesion, left_input=2408, right_input=1071, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1959","layer":4},{"info":"number node, value=1712","layer":4},{"info":"compute binary expreesion, left_input=1959, right_input=1712, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-247","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-247, 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 = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":1},{"info":"number node, value=1487","layer":4},{"info":"compute unary expreesion, input=1487, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1487","layer":3},{"info":"number node, value=5470","layer":4},{"info":"number node, value=1378","layer":4},{"info":"compute binary expreesion, left_input=5470, right_input=1378, op_id = T2fj7uvVaJ binary_op_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=1487, 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 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 = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮2408⪢⊺⇮1071⫸⊐(⊺⇮1959⇼⇔∾⊺⇮1712))⪐)⋳⪒(↯⪼((⊺⇮1487⨁⊸⫻)⋓(⊺⇮5470⋓⊺⇮1378)))=NaN","reverse_text":"NaN=((⊺⇮2408⪢⊺⇮1071⫸⊐(⊺⇮1959⇼⇔∾⊺⇮1712))⪐)⋳⪒(↯⪼((⊺⇮1487⨁⊸⫻)⋓(⊺⇮5470⋓⊺⇮1378)))","cot":[{"info":"⊺⇮2408⪢⊺⇮1071=NaN","layer":3},{"info":"⊺⇮1959⇼⇔∾⊺⇮1712=⊺⇮-247","layer":3},{"info":"NaN⫸⊐⊺⇮-247=NaN","layer":2},{"info":"NaN⪐=NaN","layer":1},{"info":"⊺⇮1487⨁⊸⫻=⊺⇮1487","layer":3},{"info":"⊺⇮5470⋓⊺⇮1378=⊺⇮0","layer":3},{"info":"⊺⇮1487⋓⊺⇮0=⊺⇮0","layer":2},{"info":"↯⪼⊺⇮0=⊺⇮-21","layer":1},{"info":"NaN⋳⪒⊺⇮-21=NaN","layer":0}]}
{"id":500,"expression_no_base_symbol":"(⪝⪂⫅(⫛⫱⨽$1712$))⫸⊐($2496$≋⫹)⪄$1059$⨐⩸⫘$4871$⨵⪆(⨑⩽⪐($2702$⫥∨⫟$6590$↺($2734$-$3967$)))","expression":"(⪝⪂⫅(⫛⫱⨽⊺⇮1712))⫸⊐(⊺⇮2496≋⫹)⪄⊺⇮1059⨐⩸⫘⊺⇮4871⨵⪆(⨑⩽⪐(⊺⇮2702⫥∨⫟⊺⇮6590↺(⊺⇮2734-⊺⇮3967)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1691,"operation_count":11,"complexity_ratio":153.72727272727272,"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":1712,"base":10}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":2496,"base":10}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1059,"base":10},"right_expr":{"type":"numeric_atoms","value":4871,"base":10}}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2702,"base":10},"right_expr":{"type":"numeric_atoms","value":6590,"base":10}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2734,"base":10},"right_expr":{"type":"numeric_atoms","value":3967,"base":10}}}}},"used_operators":["2DQ55sFlQl","mqXw5SEYmG","XTarYq4gQB","DlLNRPXxWL","SUmda5xLS4","N41Kp7NANJ","fu6greOZ01","AF7qkfDlqP","7j4O788W3g","KYD54nUTWz","rysDP5nf3Z"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9HNa5Wba9A","8w2t5hMYqp","rGHVDoGpnC","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC"],"result":"⊺⇮160","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1712","layer":4},{"info":"compute unary expreesion, input=1712, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', 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=2496","layer":4},{"info":"compute unary expreesion, input=2496, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-4992","layer":3},{"info":"number node, value=1059","layer":4},{"info":"number node, value=4871","layer":4},{"info":"compute binary expreesion, left_input=1059, right_input=4871, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=-4992, 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=0, right_input=3979, 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=2702","layer":4},{"info":"number node, value=6590","layer":4},{"info":"compute binary expreesion, left_input=2702, right_input=6590, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=2734","layer":4},{"info":"number node, value=3967","layer":4},{"info":"compute binary expreesion, left_input=2734, right_input=3967, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1233","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1233, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-1233","layer":2},{"info":"compute unary expreesion, input=-1233, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=3255","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=3255, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":10,"result_base":10,"text":"(⪝⪂⫅(⫛⫱⨽⊺⇮1712))⫸⊐(⊺⇮2496≋⫹)⪄⊺⇮1059⨐⩸⫘⊺⇮4871⨵⪆(⨑⩽⪐(⊺⇮2702⫥∨⫟⊺⇮6590↺(⊺⇮2734-⊺⇮3967)))=⊺⇮160","reverse_text":"⊺⇮160=(⪝⪂⫅(⫛⫱⨽⊺⇮1712))⫸⊐(⊺⇮2496≋⫹)⪄⊺⇮1059⨐⩸⫘⊺⇮4871⨵⪆(⨑⩽⪐(⊺⇮2702⫥∨⫟⊺⇮6590↺(⊺⇮2734-⊺⇮3967)))","cot":[{"info":"⫛⫱⨽⊺⇮1712=⊺⇮0","layer":3},{"info":"⪝⪂⫅⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮2496≋⫹=⊺⇮-4992","layer":3},{"info":"⊺⇮1059⨐⩸⫘⊺⇮4871=NaN","layer":3},{"info":"⊺⇮-4992⪄NaN=⊺⇮3979","layer":2},{"info":"⊺⇮0⫸⊐⊺⇮3979=⊺⇮0","layer":1},{"info":"⊺⇮2702⫥∨⫟⊺⇮6590=NaN","layer":3},{"info":"⊺⇮2734-⊺⇮3967=⊺⇮-1233","layer":3},{"info":"NaN↺⊺⇮-1233=⊺⇮-1233","layer":2},{"info":"⨑⩽⪐⊺⇮-1233=⊺⇮3255","layer":1},{"info":"⊺⇮0⨵⪆⊺⇮3255=⊺⇮160","layer":0}]}
{"id":501,"expression_no_base_symbol":"(⩦⩻⨪$7643$)⇷($5118$≦≮≮)*(∥⊫$5568$)⨐⩸⫘$1123$≧⫂∧$5780$⨸⪁$2131$⪮%⊝$1555$↙$1244$⋝⋈⪟$2953$⪄$5330$⋝⋈⪟$1464$⋳⪒$6428$⨰$3498$","expression":"(⩦⩻⨪⊺⇮7643)⇷(⊺⇮5118≦≮≮)*(∥⊫⊺⇮5568)⨐⩸⫘⊺⇮1123≧⫂∧⊺⇮5780⨸⪁⊺⇮2131⪮%⊝⊺⇮1555↙⊺⇮1244⋝⋈⪟⊺⇮2953⪄⊺⇮5330⋝⋈⪟⊺⇮1464⋳⪒⊺⇮6428⨰⊺⇮3498","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":108394,"operation_count":15,"complexity_ratio":7226.266666666666,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":7643,"base":10}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":5118,"base":10}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":5568,"base":10}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1123,"base":10},"right_expr":{"type":"numeric_atoms","value":5780,"base":10}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2131,"base":10},"right_expr":{"type":"numeric_atoms","value":1555,"base":10}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1244,"base":10},"right_expr":{"type":"numeric_atoms","value":2953,"base":10}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":5330,"base":10},"right_expr":{"type":"numeric_atoms","value":1464,"base":10}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":6428,"base":10},"right_expr":{"type":"numeric_atoms","value":3498,"base":10}}}}},"used_operators":["g55IO6H4Gj","9HNa5Wba9A","mp7IySMOzn","2td37pGCOC","D4vGDi5EA2","fu6greOZ01","P8v4zCKN1o","Ph9nP6C5qx","SUmda5xLS4","yyfyN0ffXY","IWmyXbctLI","2DDjHMKMc0","12rbrZMWeM","eewbuw0ToL"],"dependent_operators":["W4YGzv6Whe","W4YGzv6Whe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","tmPS8pqC7x","DpFCA1CohY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7643","layer":4},{"info":"compute unary expreesion, input=7643, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=7643","layer":3},{"info":"number node, value=5118","layer":4},{"info":"compute unary expreesion, input=5118, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-15354","layer":3},{"info":"compute binary expreesion, left_input=7643, right_input=-15354, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"number node, value=5568","layer":4},{"info":"compute unary expreesion, input=5568, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=6436","layer":3},{"info":"number node, value=1123","layer":4},{"info":"number node, value=5780","layer":4},{"info":"compute binary expreesion, left_input=1123, right_input=5780, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5307","layer":3},{"info":"compute binary expreesion, left_input=6436, right_input=5307, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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":"number node, value=2131","layer":4},{"info":"number node, value=1555","layer":4},{"info":"compute binary expreesion, left_input=2131, right_input=1555, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4578","layer":3},{"info":"number node, value=1244","layer":4},{"info":"number node, value=2953","layer":4},{"info":"compute binary expreesion, left_input=1244, right_input=2953, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1244","layer":3},{"info":"compute binary expreesion, left_input=4578, right_input=1244, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3732","layer":2},{"info":"number node, value=5330","layer":4},{"info":"number node, value=1464","layer":4},{"info":"compute binary expreesion, left_input=5330, right_input=1464, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5330","layer":3},{"info":"number node, value=6428","layer":4},{"info":"number node, value=3498","layer":4},{"info":"compute binary expreesion, left_input=6428, right_input=3498, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2940","layer":3},{"info":"compute binary expreesion, left_input=5330, right_input=2940, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=7433","layer":2},{"info":"compute binary expreesion, left_input=-3732, right_input=7433, 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 = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⩦⩻⨪⊺⇮7643)⇷(⊺⇮5118≦≮≮)*(∥⊫⊺⇮5568)⨐⩸⫘⊺⇮1123≧⫂∧⊺⇮5780⨸⪁⊺⇮2131⪮%⊝⊺⇮1555↙⊺⇮1244⋝⋈⪟⊺⇮2953⪄⊺⇮5330⋝⋈⪟⊺⇮1464⋳⪒⊺⇮6428⨰⊺⇮3498=NaN","reverse_text":"NaN=(⩦⩻⨪⊺⇮7643)⇷(⊺⇮5118≦≮≮)*(∥⊫⊺⇮5568)⨐⩸⫘⊺⇮1123≧⫂∧⊺⇮5780⨸⪁⊺⇮2131⪮%⊝⊺⇮1555↙⊺⇮1244⋝⋈⪟⊺⇮2953⪄⊺⇮5330⋝⋈⪟⊺⇮1464⋳⪒⊺⇮6428⨰⊺⇮3498","cot":[{"info":"⩦⩻⨪⊺⇮7643=⊺⇮7643","layer":3},{"info":"⊺⇮5118≦≮≮=⊺⇮-15354","layer":3},{"info":"⊺⇮7643⇷⊺⇮-15354=NaN","layer":2},{"info":"∥⊫⊺⇮5568=⊺⇮6436","layer":3},{"info":"⊺⇮1123≧⫂∧⊺⇮5780=⊺⇮5307","layer":3},{"info":"⊺⇮6436⨐⩸⫘⊺⇮5307=NaN","layer":2},{"info":"NaN*NaN=NaN","layer":1},{"info":"⊺⇮2131⪮%⊝⊺⇮1555=⊺⇮4578","layer":3},{"info":"⊺⇮1244⋝⋈⪟⊺⇮2953=⊺⇮1244","layer":3},{"info":"⊺⇮4578↙⊺⇮1244=⊺⇮-3732","layer":2},{"info":"⊺⇮5330⋝⋈⪟⊺⇮1464=⊺⇮5330","layer":3},{"info":"⊺⇮6428⨰⊺⇮3498=⊺⇮2940","layer":3},{"info":"⊺⇮5330⋳⪒⊺⇮2940=⊺⇮7433","layer":2},{"info":"⊺⇮-3732⪄⊺⇮7433=⊺⇮3979","layer":1},{"info":"NaN⨸⪁⊺⇮3979=NaN","layer":0}]}
{"id":502,"expression_no_base_symbol":"((⨰⫟⨤$1513$∀⇚≩$5860$)↺$1395$⪮%⊝$1860$≧⫂∧$1321$⪢$4296$)⩚⊴⇥($1999$⪮%⊝$2830$-($1113$⊪))⨰(⫛⫱⨽($1345$⪄$5191$))","expression":"((⨰⫟⨤⊺⇮1513∀⇚≩⊺⇮5860)↺⊺⇮1395⪮%⊝⊺⇮1860≧⫂∧⊺⇮1321⪢⊺⇮4296)⩚⊴⇥(⊺⇮1999⪮%⊝⊺⇮2830-(⊺⇮1113⊪))⨰(⫛⫱⨽(⊺⇮1345⪄⊺⇮5191))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":16497,"operation_count":13,"complexity_ratio":1269.0,"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":1513,"base":10},"right_expr":{"type":"numeric_atoms","value":5860,"base":10}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1395,"base":10},"right_expr":{"type":"numeric_atoms","value":1860,"base":10}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1321,"base":10},"right_expr":{"type":"numeric_atoms","value":4296,"base":10}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1999,"base":10},"right_expr":{"type":"numeric_atoms","value":2830,"base":10}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":1113,"base":10}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1345,"base":10},"right_expr":{"type":"numeric_atoms","value":5191,"base":10}}}}},"used_operators":["NTOWxs364D","7j4O788W3g","Tw270M8GLb","LRNGc0VcxI","Ph9nP6C5qx","IWmyXbctLI","dWAJyo7jo9","eewbuw0ToL","rysDP5nf3Z","zVYPLywUTj","DlLNRPXxWL","SUmda5xLS4"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rGHVDoGpnC","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1513","layer":4},{"info":"number node, value=5860","layer":4},{"info":"compute binary expreesion, left_input=1513, right_input=5860, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=1395","layer":4},{"info":"number node, value=1860","layer":4},{"info":"compute binary expreesion, left_input=1395, right_input=1860, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3106","layer":3},{"info":"number node, value=1321","layer":4},{"info":"number node, value=4296","layer":4},{"info":"compute binary expreesion, left_input=1321, right_input=4296, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=3106, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":1},{"info":"number node, value=1999","layer":4},{"info":"number node, value=2830","layer":4},{"info":"compute binary expreesion, left_input=1999, right_input=2830, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4314","layer":3},{"info":"number node, value=1113","layer":4},{"info":"compute unary expreesion, input=1113, 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=4314, right_input=0, op_id = rysDP5nf3Z binary_op_definition= 'None', output=4314","layer":2},{"info":"number node, value=1345","layer":4},{"info":"number node, value=5191","layer":4},{"info":"compute binary expreesion, left_input=1345, right_input=5191, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-215913","layer":3},{"info":"compute unary expreesion, input=-215913, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=4314, right_input=0, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=4324","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4324, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⨰⫟⨤⊺⇮1513∀⇚≩⊺⇮5860)↺⊺⇮1395⪮%⊝⊺⇮1860≧⫂∧⊺⇮1321⪢⊺⇮4296)⩚⊴⇥(⊺⇮1999⪮%⊝⊺⇮2830-(⊺⇮1113⊪))⨰(⫛⫱⨽(⊺⇮1345⪄⊺⇮5191))=NaN","reverse_text":"NaN=((⨰⫟⨤⊺⇮1513∀⇚≩⊺⇮5860)↺⊺⇮1395⪮%⊝⊺⇮1860≧⫂∧⊺⇮1321⪢⊺⇮4296)⩚⊴⇥(⊺⇮1999⪮%⊝⊺⇮2830-(⊺⇮1113⊪))⨰(⫛⫱⨽(⊺⇮1345⪄⊺⇮5191))","cot":[{"info":"⊺⇮1513∀⇚≩⊺⇮5860=NaN","layer":3},{"info":"⨰⫟⨤NaN=NaN","layer":2},{"info":"⊺⇮1395⪮%⊝⊺⇮1860=⊺⇮3106","layer":3},{"info":"⊺⇮1321⪢⊺⇮4296=NaN","layer":3},{"info":"⊺⇮3106≧⫂∧NaN=NaN","layer":2},{"info":"NaN↺NaN=NaN","layer":1},{"info":"⊺⇮1999⪮%⊝⊺⇮2830=⊺⇮4314","layer":3},{"info":"⊺⇮1113⊪=⊺⇮0","layer":3},{"info":"⊺⇮4314-⊺⇮0=⊺⇮4314","layer":2},{"info":"⊺⇮1345⪄⊺⇮5191=⊺⇮-215913","layer":3},{"info":"⫛⫱⨽⊺⇮-215913=⊺⇮0","layer":2},{"info":"⊺⇮4314⨰⊺⇮0=⊺⇮4324","layer":1},{"info":"NaN⩚⊴⇥⊺⇮4324=NaN","layer":0}]}
{"id":503,"expression_no_base_symbol":"((≉$3128$⇷$2452$)%($1610$⋥≓≎$7951$)⋥≓≎($2345$⪄$4567$))⨐⩸⫘((⇁⨣⪵$1979$)⪨≂($1929$+$8581$))⨽($2143$∲⫓$6847$)⨪↰⇹($1540$⪨≂$6773$)","expression":"((≉⊺⇮3128⇷⊺⇮2452)%(⊺⇮1610⋥≓≎⊺⇮7951)⋥≓≎(⊺⇮2345⪄⊺⇮4567))⨐⩸⫘((⇁⨣⪵⊺⇮1979)⪨≂(⊺⇮1929+⊺⇮8581))⨽(⊺⇮2143∲⫓⊺⇮6847)⨪↰⇹(⊺⇮1540⪨≂⊺⇮6773)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":43930,"operation_count":14,"complexity_ratio":3137.8571428571427,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3128,"base":10},"right_expr":{"type":"numeric_atoms","value":2452,"base":10}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1610,"base":10},"right_expr":{"type":"numeric_atoms","value":7951,"base":10}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2345,"base":10},"right_expr":{"type":"numeric_atoms","value":4567,"base":10}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1979,"base":10}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1929,"base":10},"right_expr":{"type":"numeric_atoms","value":8581,"base":10}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2143,"base":10},"right_expr":{"type":"numeric_atoms","value":6847,"base":10}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1540,"base":10},"right_expr":{"type":"numeric_atoms","value":6773,"base":10}}}}},"used_operators":["fu6greOZ01","k8jYdgA6NY","e1ybzncUwg","mp7IySMOzn","Qy55tPpLXF","SUmda5xLS4","8HhzD0ZcuI","sdazOOVcIp","inkyxCbjAn","W4YGzv6Whe","tmPS8pqC7x","i8ToyICDmI"],"dependent_operators":["3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3128","layer":4},{"info":"number node, value=2452","layer":4},{"info":"compute binary expreesion, left_input=3128, right_input=2452, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4904","layer":3},{"info":"compute unary expreesion, input=4904, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=5435","layer":2},{"info":"number node, value=1610","layer":4},{"info":"number node, value=7951","layer":4},{"info":"compute binary expreesion, left_input=1610, right_input=7951, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=14325","layer":3},{"info":"number node, value=2345","layer":4},{"info":"number node, value=4567","layer":4},{"info":"compute binary expreesion, left_input=2345, right_input=4567, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-361417","layer":3},{"info":"compute binary expreesion, left_input=14325, right_input=-361417, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-737126","layer":2},{"info":"compute binary expreesion, left_input=5435, right_input=-737126, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-731691","layer":1},{"info":"number node, value=1979","layer":4},{"info":"compute unary expreesion, input=1979, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=1929","layer":4},{"info":"number node, value=8581","layer":4},{"info":"compute binary expreesion, left_input=1929, right_input=8581, op_id = W4YGzv6Whe binary_op_definition= 'None', output=10510","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=10510, op_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=2143","layer":4},{"info":"number node, value=6847","layer":4},{"info":"compute binary expreesion, left_input=2143, right_input=6847, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1540","layer":4},{"info":"number node, value=6773","layer":4},{"info":"compute binary expreesion, left_input=1540, right_input=6773, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-10364","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-10364, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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 = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-731691, 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":10,"result_base":10,"text":"((≉⊺⇮3128⇷⊺⇮2452)%(⊺⇮1610⋥≓≎⊺⇮7951)⋥≓≎(⊺⇮2345⪄⊺⇮4567))⨐⩸⫘((⇁⨣⪵⊺⇮1979)⪨≂(⊺⇮1929+⊺⇮8581))⨽(⊺⇮2143∲⫓⊺⇮6847)⨪↰⇹(⊺⇮1540⪨≂⊺⇮6773)=NaN","reverse_text":"NaN=((≉⊺⇮3128⇷⊺⇮2452)%(⊺⇮1610⋥≓≎⊺⇮7951)⋥≓≎(⊺⇮2345⪄⊺⇮4567))⨐⩸⫘((⇁⨣⪵⊺⇮1979)⪨≂(⊺⇮1929+⊺⇮8581))⨽(⊺⇮2143∲⫓⊺⇮6847)⨪↰⇹(⊺⇮1540⪨≂⊺⇮6773)","cot":[{"info":"⊺⇮3128⇷⊺⇮2452=⊺⇮4904","layer":3},{"info":"≉⊺⇮4904=⊺⇮5435","layer":2},{"info":"⊺⇮1610⋥≓≎⊺⇮7951=⊺⇮14325","layer":3},{"info":"⊺⇮2345⪄⊺⇮4567=⊺⇮-361417","layer":3},{"info":"⊺⇮14325⋥≓≎⊺⇮-361417=⊺⇮-737126","layer":2},{"info":"⊺⇮5435%⊺⇮-737126=⊺⇮-731691","layer":1},{"info":"⇁⨣⪵⊺⇮1979=NaN","layer":3},{"info":"⊺⇮1929+⊺⇮8581=⊺⇮10510","layer":3},{"info":"NaN⪨≂⊺⇮10510=NaN","layer":2},{"info":"⊺⇮2143∲⫓⊺⇮6847=⊺⇮0","layer":3},{"info":"⊺⇮1540⪨≂⊺⇮6773=⊺⇮-10364","layer":3},{"info":"⊺⇮0⨪↰⇹⊺⇮-10364=⊺⇮0","layer":2},{"info":"NaN⨽⊺⇮0=NaN","layer":1},{"info":"⊺⇮-731691⨐⩸⫘NaN=NaN","layer":0}]}
{"id":504,"expression_no_base_symbol":"(($1047$⪠⩆⊳)⨰($1192$⊭↱$3265$)∲⫓(($6235$∲⫓$2835$)↛⩡⫤))⪮%⊝(($3407$⨸⪁$2889$)⋝⋈⪟$2452$⊴$4108$⋝⋈⪟(($1667$≭$1899$)⇋≉))","expression":"((⊺⇮1047⪠⩆⊳)⨰(⊺⇮1192⊭↱⊺⇮3265)∲⫓((⊺⇮6235∲⫓⊺⇮2835)↛⩡⫤))⪮%⊝((⊺⇮3407⨸⪁⊺⇮2889)⋝⋈⪟⊺⇮2452⊴⊺⇮4108⋝⋈⪟((⊺⇮1667≭⊺⇮1899)⇋≉))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4223,"operation_count":13,"complexity_ratio":324.84615384615387,"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":1047,"base":10}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1192,"base":10},"right_expr":{"type":"numeric_atoms","value":3265,"base":10}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":6235,"base":10},"right_expr":{"type":"numeric_atoms","value":2835,"base":10}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3407,"base":10},"right_expr":{"type":"numeric_atoms","value":2889,"base":10}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2452,"base":10},"right_expr":{"type":"numeric_atoms","value":4108,"base":10}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1667,"base":10},"right_expr":{"type":"numeric_atoms","value":1899,"base":10}}}}},"used_operators":["IWmyXbctLI","i8ToyICDmI","eewbuw0ToL","JLbD19bQDL","COABgblf1C","FU0Cs4j7VP","2DDjHMKMc0","g55IO6H4Gj","Nsiff2A1zJ","XIabStNQrY","rxpJgHHUmx"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1047","layer":4},{"info":"compute unary expreesion, input=1047, 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=1192","layer":4},{"info":"number node, value=3265","layer":4},{"info":"compute binary expreesion, left_input=1192, right_input=3265, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=4151","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4151, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-4141","layer":2},{"info":"number node, value=6235","layer":4},{"info":"number node, value=2835","layer":4},{"info":"compute binary expreesion, left_input=6235, right_input=2835, 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 = 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":"compute binary expreesion, left_input=-4141, right_input=0, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-4141","layer":1},{"info":"number node, value=3407","layer":4},{"info":"number node, value=2889","layer":4},{"info":"compute binary expreesion, left_input=3407, right_input=2889, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=12592","layer":3},{"info":"number node, value=2452","layer":4},{"info":"number node, value=4108","layer":4},{"info":"compute binary expreesion, left_input=2452, right_input=4108, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=12592, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=1667","layer":4},{"info":"number node, value=1899","layer":4},{"info":"compute binary expreesion, left_input=1667, right_input=1899, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-4141, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1047⪠⩆⊳)⨰(⊺⇮1192⊭↱⊺⇮3265)∲⫓((⊺⇮6235∲⫓⊺⇮2835)↛⩡⫤))⪮%⊝((⊺⇮3407⨸⪁⊺⇮2889)⋝⋈⪟⊺⇮2452⊴⊺⇮4108⋝⋈⪟((⊺⇮1667≭⊺⇮1899)⇋≉))=NaN","reverse_text":"NaN=((⊺⇮1047⪠⩆⊳)⨰(⊺⇮1192⊭↱⊺⇮3265)∲⫓((⊺⇮6235∲⫓⊺⇮2835)↛⩡⫤))⪮%⊝((⊺⇮3407⨸⪁⊺⇮2889)⋝⋈⪟⊺⇮2452⊴⊺⇮4108⋝⋈⪟((⊺⇮1667≭⊺⇮1899)⇋≉))","cot":[{"info":"⊺⇮1047⪠⩆⊳=⊺⇮0","layer":3},{"info":"⊺⇮1192⊭↱⊺⇮3265=⊺⇮4151","layer":3},{"info":"⊺⇮0⨰⊺⇮4151=⊺⇮-4141","layer":2},{"info":"⊺⇮6235∲⫓⊺⇮2835=⊺⇮0","layer":3},{"info":"⊺⇮0↛⩡⫤=⊺⇮0","layer":2},{"info":"⊺⇮-4141∲⫓⊺⇮0=⊺⇮-4141","layer":1},{"info":"⊺⇮3407⨸⪁⊺⇮2889=⊺⇮12592","layer":3},{"info":"⊺⇮2452⊴⊺⇮4108=NaN","layer":3},{"info":"⊺⇮12592⋝⋈⪟NaN=NaN","layer":2},{"info":"⊺⇮1667≭⊺⇮1899=NaN","layer":3},{"info":"NaN⇋≉=NaN","layer":2},{"info":"NaN⋝⋈⪟NaN=NaN","layer":1},{"info":"⊺⇮-4141⪮%⊝NaN=NaN","layer":0}]}
{"id":505,"expression_no_base_symbol":"(($4265$∲⫓$3868$)⨁⊸⫻)∑⇟⊟($4738$⋷$1542$)↬($6736$⨽$3869$)⩷∴(⇁⨣⪵($1646$⨓$7117$)⊴($1643$⪮%⊝$1143$))","expression":"((⊺⇮4265∲⫓⊺⇮3868)⨁⊸⫻)∑⇟⊟(⊺⇮4738⋷⊺⇮1542)↬(⊺⇮6736⨽⊺⇮3869)⩷∴(⇁⨣⪵(⊺⇮1646⨓⊺⇮7117)⊴(⊺⇮1643⪮%⊝⊺⇮1143))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":17940,"operation_count":11,"complexity_ratio":1630.909090909091,"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":4265,"base":10},"right_expr":{"type":"numeric_atoms","value":3868,"base":10}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":4738,"base":10},"right_expr":{"type":"numeric_atoms","value":1542,"base":10}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":6736,"base":10},"right_expr":{"type":"numeric_atoms","value":3869,"base":10}}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1646,"base":10},"right_expr":{"type":"numeric_atoms","value":7117,"base":10}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1643,"base":10},"right_expr":{"type":"numeric_atoms","value":1143,"base":10}}}}},"used_operators":["9FxExcQeMw","U7g4x0WXJJ","glklzrTFfD","i8ToyICDmI","B5M0gjZbta","23Mk6UjR3U","8HhzD0ZcuI","inkyxCbjAn","Nsiff2A1zJ","3ViojmjbAp","IWmyXbctLI"],"dependent_operators":["rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","B5M0gjZbta","dWAJyo7jo9","14qkJME0vr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4265","layer":4},{"info":"number node, value=3868","layer":4},{"info":"compute binary expreesion, left_input=4265, right_input=3868, 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 = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=0","layer":2},{"info":"number node, value=4738","layer":4},{"info":"number node, value=1542","layer":4},{"info":"compute binary expreesion, left_input=4738, right_input=1542, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-1654","layer":3},{"info":"number node, value=6736","layer":4},{"info":"number node, value=3869","layer":4},{"info":"compute binary expreesion, left_input=6736, right_input=3869, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-136131381","layer":3},{"info":"compute binary expreesion, left_input=-1654, right_input=-136131381, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=1646","layer":4},{"info":"number node, value=7117","layer":4},{"info":"compute binary expreesion, left_input=1646, right_input=7117, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-7120","layer":3},{"info":"number node, value=1643","layer":4},{"info":"number node, value=1143","layer":4},{"info":"compute binary expreesion, left_input=1643, right_input=1143, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3602","layer":3},{"info":"compute binary expreesion, left_input=-7120, right_input=3602, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴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":"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":10,"result_base":10,"text":"((⊺⇮4265∲⫓⊺⇮3868)⨁⊸⫻)∑⇟⊟(⊺⇮4738⋷⊺⇮1542)↬(⊺⇮6736⨽⊺⇮3869)⩷∴(⇁⨣⪵(⊺⇮1646⨓⊺⇮7117)⊴(⊺⇮1643⪮%⊝⊺⇮1143))=NaN","reverse_text":"NaN=((⊺⇮4265∲⫓⊺⇮3868)⨁⊸⫻)∑⇟⊟(⊺⇮4738⋷⊺⇮1542)↬(⊺⇮6736⨽⊺⇮3869)⩷∴(⇁⨣⪵(⊺⇮1646⨓⊺⇮7117)⊴(⊺⇮1643⪮%⊝⊺⇮1143))","cot":[{"info":"⊺⇮4265∲⫓⊺⇮3868=⊺⇮0","layer":3},{"info":"⊺⇮0⨁⊸⫻=⊺⇮0","layer":2},{"info":"⊺⇮4738⋷⊺⇮1542=⊺⇮-1654","layer":3},{"info":"⊺⇮6736⨽⊺⇮3869=⊺⇮-136131381","layer":3},{"info":"⊺⇮-1654↬⊺⇮-136131381=NaN","layer":2},{"info":"⊺⇮0∑⇟⊟NaN=NaN","layer":1},{"info":"⊺⇮1646⨓⊺⇮7117=⊺⇮-7120","layer":3},{"info":"⊺⇮1643⪮%⊝⊺⇮1143=⊺⇮3602","layer":3},{"info":"⊺⇮-7120⊴⊺⇮3602=NaN","layer":2},{"info":"⇁⨣⪵NaN=NaN","layer":1},{"info":"NaN⩷∴NaN=NaN","layer":0}]}
{"id":506,"expression_no_base_symbol":"(↔($3853$⋓$1231$))↬($3424$⇷$3045$⩷∴($3653$*$2322$))⨵⪆(($4701$⪨≂$6218$⪨≂(⊄⩳↩$3615$))≫≃)","expression":"(↔(⊺⇮3853⋓⊺⇮1231))↬(⊺⇮3424⇷⊺⇮3045⩷∴(⊺⇮3653*⊺⇮2322))⨵⪆((⊺⇮4701⪨≂⊺⇮6218⪨≂(⊄⩳↩⊺⇮3615))≫≃)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":50315,"operation_count":11,"complexity_ratio":4574.090909090909,"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":3853,"base":10},"right_expr":{"type":"numeric_atoms","value":1231,"base":10}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3424,"base":10},"right_expr":{"type":"numeric_atoms","value":3045,"base":10}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3653,"base":10},"right_expr":{"type":"numeric_atoms","value":2322,"base":10}}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4701,"base":10},"right_expr":{"type":"numeric_atoms","value":6218,"base":10}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":3615,"base":10}}}}},"used_operators":["2DQ55sFlQl","B5M0gjZbta","ruOEQAzv1W","T2fj7uvVaJ","9FxExcQeMw","mp7IySMOzn","9HNa5Wba9A","X99M06cbEe","sdazOOVcIp","8w2t5hMYqp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮160","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3853","layer":4},{"info":"number node, value=1231","layer":4},{"info":"compute binary expreesion, left_input=3853, right_input=1231, op_id = T2fj7uvVaJ binary_op_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 = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=789","layer":2},{"info":"number node, value=3424","layer":4},{"info":"number node, value=3045","layer":4},{"info":"compute binary expreesion, left_input=3424, right_input=3045, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6090","layer":3},{"info":"number node, value=3653","layer":4},{"info":"number node, value=2322","layer":4},{"info":"compute binary expreesion, left_input=3653, right_input=2322, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=8482266","layer":3},{"info":"compute binary expreesion, left_input=6090, right_input=8482266, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-16952384","layer":2},{"info":"compute binary expreesion, left_input=789, right_input=-16952384, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=4701","layer":4},{"info":"number node, value=6218","layer":4},{"info":"compute binary expreesion, left_input=4701, right_input=6218, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-2932","layer":3},{"info":"number node, value=3615","layer":4},{"info":"compute unary expreesion, input=3615, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-10845","layer":3},{"info":"compute binary expreesion, left_input=-2932, right_input=-10845, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=15928","layer":2},{"info":"compute unary expreesion, input=15928, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=33257","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=33257, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":10,"result_base":10,"text":"(↔(⊺⇮3853⋓⊺⇮1231))↬(⊺⇮3424⇷⊺⇮3045⩷∴(⊺⇮3653*⊺⇮2322))⨵⪆((⊺⇮4701⪨≂⊺⇮6218⪨≂(⊄⩳↩⊺⇮3615))≫≃)=⊺⇮160","reverse_text":"⊺⇮160=(↔(⊺⇮3853⋓⊺⇮1231))↬(⊺⇮3424⇷⊺⇮3045⩷∴(⊺⇮3653*⊺⇮2322))⨵⪆((⊺⇮4701⪨≂⊺⇮6218⪨≂(⊄⩳↩⊺⇮3615))≫≃)","cot":[{"info":"⊺⇮3853⋓⊺⇮1231=⊺⇮0","layer":3},{"info":"↔⊺⇮0=⊺⇮789","layer":2},{"info":"⊺⇮3424⇷⊺⇮3045=⊺⇮6090","layer":3},{"info":"⊺⇮3653*⊺⇮2322=⊺⇮8482266","layer":3},{"info":"⊺⇮6090⩷∴⊺⇮8482266=⊺⇮-16952384","layer":2},{"info":"⊺⇮789↬⊺⇮-16952384=NaN","layer":1},{"info":"⊺⇮4701⪨≂⊺⇮6218=⊺⇮-2932","layer":3},{"info":"⊄⩳↩⊺⇮3615=⊺⇮-10845","layer":3},{"info":"⊺⇮-2932⪨≂⊺⇮-10845=⊺⇮15928","layer":2},{"info":"⊺⇮15928≫≃=⊺⇮33257","layer":1},{"info":"NaN⨵⪆⊺⇮33257=⊺⇮160","layer":0}]}
{"id":507,"expression_no_base_symbol":"((≦∁$4796$⪄$8093$)⨎(⋗⩬⋾$1361$⋥≓≎$3569$))≹⇙⪍(≤/(⩦⩻⨪$2664$⨐⩸⫘$1608$))","expression":"((≦∁⊺⇮4796⪄⊺⇮8093)⨎(⋗⩬⋾⊺⇮1361⋥≓≎⊺⇮3569))≹⇙⪍(≤/(⩦⩻⨪⊺⇮2664⨐⩸⫘⊺⇮1608))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2587,"operation_count":9,"complexity_ratio":287.44444444444446,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4796,"base":10},"right_expr":{"type":"numeric_atoms","value":8093,"base":10}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1361,"base":10},"right_expr":{"type":"numeric_atoms","value":3569,"base":10}}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2664,"base":10},"right_expr":{"type":"numeric_atoms","value":1608,"base":10}}}}},"used_operators":["AHs5Up7iyr","rJVOvQCfKK","9ICcGScMcE","SUmda5xLS4","DpFCA1CohY","Qy55tPpLXF","eLAdDNolq6","2td37pGCOC","fu6greOZ01"],"dependent_operators":["dWAJyo7jo9","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4796","layer":4},{"info":"number node, value=8093","layer":4},{"info":"compute binary expreesion, left_input=4796, right_input=8093, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-738269","layer":3},{"info":"compute unary expreesion, input=-738269, 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=1361","layer":4},{"info":"number node, value=3569","layer":4},{"info":"compute binary expreesion, left_input=1361, right_input=3569, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=5810","layer":3},{"info":"compute unary expreesion, input=5810, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-17430","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-17430, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-17430","layer":1},{"info":"number node, value=2664","layer":4},{"info":"number node, value=1608","layer":4},{"info":"compute binary expreesion, left_input=2664, right_input=1608, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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 = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-17430, 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":10,"result_base":10,"text":"((≦∁⊺⇮4796⪄⊺⇮8093)⨎(⋗⩬⋾⊺⇮1361⋥≓≎⊺⇮3569))≹⇙⪍(≤/(⩦⩻⨪⊺⇮2664⨐⩸⫘⊺⇮1608))=NaN","reverse_text":"NaN=((≦∁⊺⇮4796⪄⊺⇮8093)⨎(⋗⩬⋾⊺⇮1361⋥≓≎⊺⇮3569))≹⇙⪍(≤/(⩦⩻⨪⊺⇮2664⨐⩸⫘⊺⇮1608))","cot":[{"info":"⊺⇮4796⪄⊺⇮8093=⊺⇮-738269","layer":3},{"info":"≦∁⊺⇮-738269=⊺⇮67","layer":2},{"info":"⊺⇮1361⋥≓≎⊺⇮3569=⊺⇮5810","layer":3},{"info":"⋗⩬⋾⊺⇮5810=⊺⇮-17430","layer":2},{"info":"⊺⇮67⨎⊺⇮-17430=⊺⇮-17430","layer":1},{"info":"⊺⇮2664⨐⩸⫘⊺⇮1608=NaN","layer":3},{"info":"⩦⩻⨪NaN=NaN","layer":2},{"info":"≤/NaN=NaN","layer":1},{"info":"⊺⇮-17430≹⇙⪍NaN=NaN","layer":0}]}
{"id":508,"expression_no_base_symbol":"⇁⨣⪵($1924$⋥≓≎$1674$)⋓($6459$⪠⩆⊳)⨽(⩦⩻⨪$4633$∀⇚≩$2559$)","expression":"⇁⨣⪵(⊺⇮1924⋥≓≎⊺⇮1674)⋓(⊺⇮6459⪠⩆⊳)⨽(⩦⩻⨪⊺⇮4633∀⇚≩⊺⇮2559)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":32468,"operation_count":7,"complexity_ratio":4638.285714285715,"tree":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1924,"base":10},"right_expr":{"type":"numeric_atoms","value":1674,"base":10}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":6459,"base":10}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4633,"base":10},"right_expr":{"type":"numeric_atoms","value":2559,"base":10}}}}},"used_operators":["inkyxCbjAn","8HhzD0ZcuI","T2fj7uvVaJ","Qy55tPpLXF","JLbD19bQDL","2td37pGCOC","LRNGc0VcxI"],"dependent_operators":["B5M0gjZbta","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=1924","layer":4},{"info":"number node, value=1674","layer":4},{"info":"compute binary expreesion, left_input=1924, right_input=1674, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1457","layer":3},{"info":"number node, value=6459","layer":4},{"info":"compute unary expreesion, input=6459, 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=1457, 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=4633","layer":4},{"info":"number node, value=2559","layer":4},{"info":"compute binary expreesion, left_input=4633, right_input=2559, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":2},{"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":1},{"info":"compute unary expreesion, input=nan, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⇁⨣⪵(⊺⇮1924⋥≓≎⊺⇮1674)⋓(⊺⇮6459⪠⩆⊳)⨽(⩦⩻⨪⊺⇮4633∀⇚≩⊺⇮2559)=NaN","reverse_text":"NaN=⇁⨣⪵(⊺⇮1924⋥≓≎⊺⇮1674)⋓(⊺⇮6459⪠⩆⊳)⨽(⩦⩻⨪⊺⇮4633∀⇚≩⊺⇮2559)","cot":[{"info":"⊺⇮1924⋥≓≎⊺⇮1674=⊺⇮1457","layer":3},{"info":"⊺⇮6459⪠⩆⊳=⊺⇮0","layer":3},{"info":"⊺⇮1457⋓⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮4633∀⇚≩⊺⇮2559=NaN","layer":3},{"info":"⩦⩻⨪NaN=NaN","layer":2},{"info":"⊺⇮0⨽NaN=NaN","layer":1},{"info":"⇁⨣⪵NaN=NaN","layer":0}]}
{"id":509,"expression_no_base_symbol":"(($6076$+$9118$)⊉≛↸($4668$⋷$4967$)⊉≛↸(⋗⩬⋾($4272$-$4036$)))⪘⫢(($1917$⫡⨏$1385$)↺(≤/$5524$)⇼⇔∾(⨞⊢$1219$)+⇶⊼$2408$⇷$6166$)","expression":"((⊺⇮6076+⊺⇮9118)⊉≛↸(⊺⇮4668⋷⊺⇮4967)⊉≛↸(⋗⩬⋾(⊺⇮4272-⊺⇮4036)))⪘⫢((⊺⇮1917⫡⨏⊺⇮1385)↺(≤/⊺⇮5524)⇼⇔∾(⨞⊢⊺⇮1219)+⇶⊼⊺⇮2408⇷⊺⇮6166)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":33754,"operation_count":14,"complexity_ratio":2411.0,"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":6076,"base":10},"right_expr":{"type":"numeric_atoms","value":9118,"base":10}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":4668,"base":10},"right_expr":{"type":"numeric_atoms","value":4967,"base":10}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4272,"base":10},"right_expr":{"type":"numeric_atoms","value":4036,"base":10}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1917,"base":10},"right_expr":{"type":"numeric_atoms","value":1385,"base":10}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":5524,"base":10}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1219,"base":10}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2408,"base":10},"right_expr":{"type":"numeric_atoms","value":6166,"base":10}}}}},"used_operators":["oacrs7FA3X","DZ8iAZOCBD","W4YGzv6Whe","23Mk6UjR3U","DpFCA1CohY","rysDP5nf3Z","tifHPKVTfV","7j4O788W3g","QMFrweE19q","eLAdDNolq6","TpPTUOHfaN","xUOZtlo3hN","mp7IySMOzn"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6076","layer":4},{"info":"number node, value=9118","layer":4},{"info":"compute binary expreesion, left_input=6076, right_input=9118, op_id = W4YGzv6Whe binary_op_definition= 'None', output=15194","layer":3},{"info":"number node, value=4668","layer":4},{"info":"number node, value=4967","layer":4},{"info":"compute binary expreesion, left_input=4668, right_input=4967, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=5266","layer":3},{"info":"compute binary expreesion, left_input=15194, right_input=5266, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=30388","layer":2},{"info":"number node, value=4272","layer":4},{"info":"number node, value=4036","layer":4},{"info":"compute binary expreesion, left_input=4272, right_input=4036, op_id = rysDP5nf3Z binary_op_definition= 'None', output=236","layer":3},{"info":"compute unary expreesion, input=236, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-708","layer":2},{"info":"compute binary expreesion, left_input=30388, right_input=-708, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=60776","layer":1},{"info":"number node, value=1917","layer":4},{"info":"number node, value=1385","layer":4},{"info":"compute binary expreesion, left_input=1917, right_input=1385, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=13138","layer":3},{"info":"number node, value=5524","layer":4},{"info":"compute unary expreesion, input=5524, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-5040","layer":3},{"info":"compute binary expreesion, left_input=13138, right_input=-5040, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-5040","layer":2},{"info":"number node, value=1219","layer":4},{"info":"compute unary expreesion, input=1219, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1393","layer":3},{"info":"number node, value=2408","layer":4},{"info":"number node, value=6166","layer":4},{"info":"compute binary expreesion, left_input=2408, right_input=6166, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=12332","layer":3},{"info":"compute binary expreesion, left_input=-1393, right_input=12332, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=-5040, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=60776, 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":10,"result_base":10,"text":"((⊺⇮6076+⊺⇮9118)⊉≛↸(⊺⇮4668⋷⊺⇮4967)⊉≛↸(⋗⩬⋾(⊺⇮4272-⊺⇮4036)))⪘⫢((⊺⇮1917⫡⨏⊺⇮1385)↺(≤/⊺⇮5524)⇼⇔∾(⨞⊢⊺⇮1219)+⇶⊼⊺⇮2408⇷⊺⇮6166)=NaN","reverse_text":"NaN=((⊺⇮6076+⊺⇮9118)⊉≛↸(⊺⇮4668⋷⊺⇮4967)⊉≛↸(⋗⩬⋾(⊺⇮4272-⊺⇮4036)))⪘⫢((⊺⇮1917⫡⨏⊺⇮1385)↺(≤/⊺⇮5524)⇼⇔∾(⨞⊢⊺⇮1219)+⇶⊼⊺⇮2408⇷⊺⇮6166)","cot":[{"info":"⊺⇮6076+⊺⇮9118=⊺⇮15194","layer":3},{"info":"⊺⇮4668⋷⊺⇮4967=⊺⇮5266","layer":3},{"info":"⊺⇮15194⊉≛↸⊺⇮5266=⊺⇮30388","layer":2},{"info":"⊺⇮4272-⊺⇮4036=⊺⇮236","layer":3},{"info":"⋗⩬⋾⊺⇮236=⊺⇮-708","layer":2},{"info":"⊺⇮30388⊉≛↸⊺⇮-708=⊺⇮60776","layer":1},{"info":"⊺⇮1917⫡⨏⊺⇮1385=⊺⇮13138","layer":3},{"info":"≤/⊺⇮5524=⊺⇮-5040","layer":3},{"info":"⊺⇮13138↺⊺⇮-5040=⊺⇮-5040","layer":2},{"info":"⨞⊢⊺⇮1219=⊺⇮-1393","layer":3},{"info":"⊺⇮2408⇷⊺⇮6166=⊺⇮12332","layer":3},{"info":"⊺⇮-1393+⇶⊼⊺⇮12332=NaN","layer":2},{"info":"⊺⇮-5040⇼⇔∾NaN=NaN","layer":1},{"info":"⊺⇮60776⪘⫢NaN=NaN","layer":0}]}
{"id":510,"expression_no_base_symbol":"(($2707$⊉≛↸$4291$)↺($1003$⪒$8362$))⪛($7425$⋓$4069$%$2147$⋓$5707$)⊉≛↸((≤/$3570$⨟⋌⩍$4277$)⨵⪆($3598$⋝⋈⪟$1588$⫌⩹⨱))","expression":"((⊺⇮2707⊉≛↸⊺⇮4291)↺(⊺⇮1003⪒⊺⇮8362))⪛(⊺⇮7425⋓⊺⇮4069%⊺⇮2147⋓⊺⇮5707)⊉≛↸((≤/⊺⇮3570⨟⋌⩍⊺⇮4277)⨵⪆(⊺⇮3598⋝⋈⪟⊺⇮1588⫌⩹⨱))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":53,"operation_count":13,"complexity_ratio":4.076923076923077,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2707,"base":10},"right_expr":{"type":"numeric_atoms","value":4291,"base":10}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1003,"base":10},"right_expr":{"type":"numeric_atoms","value":8362,"base":10}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":7425,"base":10},"right_expr":{"type":"numeric_atoms","value":4069,"base":10}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2147,"base":10},"right_expr":{"type":"numeric_atoms","value":5707,"base":10}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3570,"base":10},"right_expr":{"type":"numeric_atoms","value":4277,"base":10}}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3598,"base":10},"right_expr":{"type":"numeric_atoms","value":1588,"base":10}}}}},"used_operators":["DZ8iAZOCBD","uFcxV4UQCh","7j4O788W3g","f6k1SAg4EE","k8jYdgA6NY","T2fj7uvVaJ","2DQ55sFlQl","eLAdDNolq6","rGHVDoGpnC","EBcxylXtPf","2DDjHMKMc0"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","Tcnh7f0tEr","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2707","layer":4},{"info":"number node, value=4291","layer":4},{"info":"compute binary expreesion, left_input=2707, right_input=4291, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5414","layer":3},{"info":"number node, value=1003","layer":4},{"info":"number node, value=8362","layer":4},{"info":"compute binary expreesion, left_input=1003, right_input=8362, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-9365","layer":3},{"info":"compute binary expreesion, left_input=5414, right_input=-9365, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-9365","layer":2},{"info":"number node, value=7425","layer":4},{"info":"number node, value=4069","layer":4},{"info":"compute binary expreesion, left_input=7425, right_input=4069, op_id = T2fj7uvVaJ binary_op_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=2147","layer":4},{"info":"number node, value=5707","layer":4},{"info":"compute binary expreesion, left_input=2147, right_input=5707, op_id = T2fj7uvVaJ binary_op_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 = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-9365, 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=3570","layer":4},{"info":"number node, value=4277","layer":4},{"info":"compute binary expreesion, left_input=3570, right_input=4277, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":2},{"info":"number node, value=3598","layer":4},{"info":"number node, value=1588","layer":4},{"info":"compute binary expreesion, left_input=3598, right_input=1588, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3598","layer":3},{"info":"compute unary expreesion, input=3598, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=8597","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=8597, 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 = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮2707⊉≛↸⊺⇮4291)↺(⊺⇮1003⪒⊺⇮8362))⪛(⊺⇮7425⋓⊺⇮4069%⊺⇮2147⋓⊺⇮5707)⊉≛↸((≤/⊺⇮3570⨟⋌⩍⊺⇮4277)⨵⪆(⊺⇮3598⋝⋈⪟⊺⇮1588⫌⩹⨱))=NaN","reverse_text":"NaN=((⊺⇮2707⊉≛↸⊺⇮4291)↺(⊺⇮1003⪒⊺⇮8362))⪛(⊺⇮7425⋓⊺⇮4069%⊺⇮2147⋓⊺⇮5707)⊉≛↸((≤/⊺⇮3570⨟⋌⩍⊺⇮4277)⨵⪆(⊺⇮3598⋝⋈⪟⊺⇮1588⫌⩹⨱))","cot":[{"info":"⊺⇮2707⊉≛↸⊺⇮4291=⊺⇮5414","layer":3},{"info":"⊺⇮1003⪒⊺⇮8362=⊺⇮-9365","layer":3},{"info":"⊺⇮5414↺⊺⇮-9365=⊺⇮-9365","layer":2},{"info":"⊺⇮7425⋓⊺⇮4069=⊺⇮0","layer":3},{"info":"⊺⇮2147⋓⊺⇮5707=⊺⇮0","layer":3},{"info":"⊺⇮0%⊺⇮0=NaN","layer":2},{"info":"⊺⇮-9365⪛NaN=NaN","layer":1},{"info":"⊺⇮3570⨟⋌⩍⊺⇮4277=NaN","layer":3},{"info":"≤/NaN=NaN","layer":2},{"info":"⊺⇮3598⋝⋈⪟⊺⇮1588=⊺⇮3598","layer":3},{"info":"⊺⇮3598⫌⩹⨱=⊺⇮8597","layer":2},{"info":"NaN⨵⪆⊺⇮8597=⊺⇮160","layer":1},{"info":"NaN⊉≛↸⊺⇮160=NaN","layer":0}]}
{"id":511,"expression_no_base_symbol":"(($4669$∲⫓$2425$)≣⋋)⨳⩥⨓($1573$⪄$1907$)⋝⋈⪟($6311$-$4784$)⋷(⪝⪂⫅($3290$-$1533$))⨽$3710$≧⫂∧$3167$≎⊠⪸$3209$⨪↰⇹$1513$","expression":"((⊺⇮4669∲⫓⊺⇮2425)≣⋋)⨳⩥⨓(⊺⇮1573⪄⊺⇮1907)⋝⋈⪟(⊺⇮6311-⊺⇮4784)⋷(⪝⪂⫅(⊺⇮3290-⊺⇮1533))⨽⊺⇮3710≧⫂∧⊺⇮3167≎⊠⪸⊺⇮3209⨪↰⇹⊺⇮1513","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":262029,"operation_count":13,"complexity_ratio":20156.076923076922,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4669,"base":10},"right_expr":{"type":"numeric_atoms","value":2425,"base":10}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1573,"base":10},"right_expr":{"type":"numeric_atoms","value":1907,"base":10}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":6311,"base":10},"right_expr":{"type":"numeric_atoms","value":4784,"base":10}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3290,"base":10},"right_expr":{"type":"numeric_atoms","value":1533,"base":10}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3710,"base":10},"right_expr":{"type":"numeric_atoms","value":3167,"base":10}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3209,"base":10},"right_expr":{"type":"numeric_atoms","value":1513,"base":10}}}}},"used_operators":["23Mk6UjR3U","nCS4ZIUYfx","Tcnh7f0tEr","i8ToyICDmI","2DDjHMKMc0","SUmda5xLS4","rysDP5nf3Z","8HhzD0ZcuI","XTarYq4gQB","bJkvcejdHO","Ph9nP6C5qx","tmPS8pqC7x"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9HNa5Wba9A","8w2t5hMYqp","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK"],"result":"⊺⇮473042","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4669","layer":4},{"info":"number node, value=2425","layer":4},{"info":"compute binary expreesion, left_input=4669, right_input=2425, 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 = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":2},{"info":"number node, value=1573","layer":4},{"info":"number node, value=1907","layer":4},{"info":"compute binary expreesion, left_input=1573, right_input=1907, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-236521","layer":3},{"info":"number node, value=6311","layer":4},{"info":"number node, value=4784","layer":4},{"info":"compute binary expreesion, left_input=6311, right_input=4784, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1527","layer":3},{"info":"compute binary expreesion, left_input=-236521, right_input=1527, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-236521","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-236521, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-236521","layer":1},{"info":"number node, value=3290","layer":4},{"info":"number node, value=1533","layer":4},{"info":"compute binary expreesion, left_input=3290, right_input=1533, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1757","layer":3},{"info":"compute unary expreesion, input=1757, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-258279","layer":2},{"info":"number node, value=3710","layer":4},{"info":"number node, value=3167","layer":4},{"info":"compute binary expreesion, left_input=3710, right_input=3167, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2694","layer":3},{"info":"number node, value=3209","layer":4},{"info":"number node, value=1513","layer":4},{"info":"compute binary expreesion, left_input=3209, right_input=1513, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3209","layer":3},{"info":"compute binary expreesion, left_input=2694, right_input=3209, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=697273","layer":2},{"info":"compute binary expreesion, left_input=-258279, right_input=697273, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":1},{"info":"compute binary expreesion, left_input=-236521, right_input=-inf, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=473042","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮4669∲⫓⊺⇮2425)≣⋋)⨳⩥⨓(⊺⇮1573⪄⊺⇮1907)⋝⋈⪟(⊺⇮6311-⊺⇮4784)⋷(⪝⪂⫅(⊺⇮3290-⊺⇮1533))⨽⊺⇮3710≧⫂∧⊺⇮3167≎⊠⪸⊺⇮3209⨪↰⇹⊺⇮1513=⊺⇮473042","reverse_text":"⊺⇮473042=((⊺⇮4669∲⫓⊺⇮2425)≣⋋)⨳⩥⨓(⊺⇮1573⪄⊺⇮1907)⋝⋈⪟(⊺⇮6311-⊺⇮4784)⋷(⪝⪂⫅(⊺⇮3290-⊺⇮1533))⨽⊺⇮3710≧⫂∧⊺⇮3167≎⊠⪸⊺⇮3209⨪↰⇹⊺⇮1513","cot":[{"info":"⊺⇮4669∲⫓⊺⇮2425=⊺⇮0","layer":3},{"info":"⊺⇮0≣⋋=⊺⇮0","layer":2},{"info":"⊺⇮1573⪄⊺⇮1907=⊺⇮-236521","layer":3},{"info":"⊺⇮6311-⊺⇮4784=⊺⇮1527","layer":3},{"info":"⊺⇮-236521⋝⋈⪟⊺⇮1527=⊺⇮-236521","layer":2},{"info":"⊺⇮0⨳⩥⨓⊺⇮-236521=⊺⇮-236521","layer":1},{"info":"⊺⇮3290-⊺⇮1533=⊺⇮1757","layer":3},{"info":"⪝⪂⫅⊺⇮1757=⊺⇮-258279","layer":2},{"info":"⊺⇮3710≧⫂∧⊺⇮3167=⊺⇮2694","layer":3},{"info":"⊺⇮3209⨪↰⇹⊺⇮1513=⊺⇮3209","layer":3},{"info":"⊺⇮2694≎⊠⪸⊺⇮3209=⊺⇮697273","layer":2},{"info":"⊺⇮-258279⨽⊺⇮697273=-Inf","layer":1},{"info":"⊺⇮-236521⋷-Inf=⊺⇮473042","layer":0}]}
{"id":512,"expression_no_base_symbol":"(($2467$↙$1560$⪨≂($3000$⨵⪆$7217$))%(↣≠⋷(⫛⫱⨽$2672$)))⨽(($3850$⫡⨏$5524$)+⇶⊼($5539$⊉≛↸$1059$)⨳⩥⨓(($1765$⪒$2227$)⊭∹↮))","expression":"((⊺⇮2467↙⊺⇮1560⪨≂(⊺⇮3000⨵⪆⊺⇮7217))%(↣≠⋷(⫛⫱⨽⊺⇮2672)))⨽((⊺⇮3850⫡⨏⊺⇮5524)+⇶⊼(⊺⇮5539⊉≛↸⊺⇮1059)⨳⩥⨓((⊺⇮1765⪒⊺⇮2227)⊭∹↮))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3022,"operation_count":13,"complexity_ratio":232.46153846153845,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2467,"base":10},"right_expr":{"type":"numeric_atoms","value":1560,"base":10}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3000,"base":10},"right_expr":{"type":"numeric_atoms","value":7217,"base":10}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2672,"base":10}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3850,"base":10},"right_expr":{"type":"numeric_atoms","value":5524,"base":10}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":5539,"base":10},"right_expr":{"type":"numeric_atoms","value":1059,"base":10}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1765,"base":10},"right_expr":{"type":"numeric_atoms","value":2227,"base":10}}}}},"used_operators":["8HhzD0ZcuI","k8jYdgA6NY","sdazOOVcIp","yyfyN0ffXY","2DQ55sFlQl","Asc51vEJeQ","DlLNRPXxWL","nCS4ZIUYfx","TpPTUOHfaN","QMFrweE19q","DZ8iAZOCBD","xNBdhnnwKq","f6k1SAg4EE"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2467","layer":4},{"info":"number node, value=1560","layer":4},{"info":"compute binary expreesion, left_input=2467, right_input=1560, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4680","layer":3},{"info":"number node, value=3000","layer":4},{"info":"number node, value=7217","layer":4},{"info":"compute binary expreesion, left_input=3000, right_input=7217, 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=-4680, 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=-9578","layer":2},{"info":"number node, value=2672","layer":4},{"info":"compute unary expreesion, input=2672, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-9578, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=3850","layer":4},{"info":"number node, value=5524","layer":4},{"info":"compute binary expreesion, left_input=3850, right_input=5524, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=31081","layer":3},{"info":"number node, value=5539","layer":4},{"info":"number node, value=1059","layer":4},{"info":"compute binary expreesion, left_input=5539, right_input=1059, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=11078","layer":3},{"info":"compute binary expreesion, left_input=31081, right_input=11078, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=1765","layer":4},{"info":"number node, value=2227","layer":4},{"info":"compute binary expreesion, left_input=1765, right_input=2227, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3992","layer":3},{"info":"compute unary expreesion, input=-3992, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=-3992","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3992, 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 = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮2467↙⊺⇮1560⪨≂(⊺⇮3000⨵⪆⊺⇮7217))%(↣≠⋷(⫛⫱⨽⊺⇮2672)))⨽((⊺⇮3850⫡⨏⊺⇮5524)+⇶⊼(⊺⇮5539⊉≛↸⊺⇮1059)⨳⩥⨓((⊺⇮1765⪒⊺⇮2227)⊭∹↮))=NaN","reverse_text":"NaN=((⊺⇮2467↙⊺⇮1560⪨≂(⊺⇮3000⨵⪆⊺⇮7217))%(↣≠⋷(⫛⫱⨽⊺⇮2672)))⨽((⊺⇮3850⫡⨏⊺⇮5524)+⇶⊼(⊺⇮5539⊉≛↸⊺⇮1059)⨳⩥⨓((⊺⇮1765⪒⊺⇮2227)⊭∹↮))","cot":[{"info":"⊺⇮2467↙⊺⇮1560=⊺⇮-4680","layer":3},{"info":"⊺⇮3000⨵⪆⊺⇮7217=⊺⇮160","layer":3},{"info":"⊺⇮-4680⪨≂⊺⇮160=⊺⇮-9578","layer":2},{"info":"⫛⫱⨽⊺⇮2672=⊺⇮0","layer":3},{"info":"↣≠⋷⊺⇮0=NaN","layer":2},{"info":"⊺⇮-9578%NaN=NaN","layer":1},{"info":"⊺⇮3850⫡⨏⊺⇮5524=⊺⇮31081","layer":3},{"info":"⊺⇮5539⊉≛↸⊺⇮1059=⊺⇮11078","layer":3},{"info":"⊺⇮31081+⇶⊼⊺⇮11078=NaN","layer":2},{"info":"⊺⇮1765⪒⊺⇮2227=⊺⇮-3992","layer":3},{"info":"⊺⇮-3992⊭∹↮=⊺⇮-3992","layer":2},{"info":"NaN⨳⩥⨓⊺⇮-3992=NaN","layer":1},{"info":"NaN⨽NaN=NaN","layer":0}]}
{"id":513,"expression_no_base_symbol":"-($7257$%$3247$⋷($1503$≣⋋))*(($1618$+$3141$)%(⨰⫟⨤$1648$))","expression":"-(⊺⇮7257%⊺⇮3247⋷(⊺⇮1503≣⋋))*((⊺⇮1618+⊺⇮3141)%(⨰⫟⨤⊺⇮1648))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":6275,"operation_count":8,"complexity_ratio":784.375,"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":7257,"base":10},"right_expr":{"type":"numeric_atoms","value":3247,"base":10}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":1503,"base":10}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1618,"base":10},"right_expr":{"type":"numeric_atoms","value":3141,"base":10}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1648,"base":10}}}}},"used_operators":["t8gj7n24qd","9HNa5Wba9A","23Mk6UjR3U","k8jYdgA6NY","Tcnh7f0tEr","W4YGzv6Whe","Tw270M8GLb"],"dependent_operators":["W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7257","layer":4},{"info":"number node, value=3247","layer":4},{"info":"compute binary expreesion, left_input=7257, right_input=3247, op_id = k8jYdgA6NY binary_op_definition= 'None', output=763","layer":3},{"info":"number node, value=1503","layer":4},{"info":"compute unary expreesion, input=1503, 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=763, right_input=0, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-763","layer":2},{"info":"number node, value=1618","layer":4},{"info":"number node, value=3141","layer":4},{"info":"compute binary expreesion, left_input=1618, right_input=3141, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4759","layer":3},{"info":"number node, value=1648","layer":4},{"info":"compute unary expreesion, input=1648, 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=4759, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-763, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":0}],"base":10,"result_base":10,"text":"-(⊺⇮7257%⊺⇮3247⋷(⊺⇮1503≣⋋))*((⊺⇮1618+⊺⇮3141)%(⨰⫟⨤⊺⇮1648))=NaN","reverse_text":"NaN=-(⊺⇮7257%⊺⇮3247⋷(⊺⇮1503≣⋋))*((⊺⇮1618+⊺⇮3141)%(⨰⫟⨤⊺⇮1648))","cot":[{"info":"⊺⇮7257%⊺⇮3247=⊺⇮763","layer":3},{"info":"⊺⇮1503≣⋋=⊺⇮0","layer":3},{"info":"⊺⇮763⋷⊺⇮0=⊺⇮-763","layer":2},{"info":"⊺⇮1618+⊺⇮3141=⊺⇮4759","layer":3},{"info":"⨰⫟⨤⊺⇮1648=NaN","layer":3},{"info":"⊺⇮4759%NaN=NaN","layer":2},{"info":"⊺⇮-763*NaN=NaN","layer":1},{"info":"-NaN=NaN","layer":0}]}
{"id":514,"expression_no_base_symbol":"(⫓⪴($2932$⪢$7832$⫩⊇))⫡⨏$1044$⪢$1973$∀⇚≩$6205$⪮%⊝$4049$⋥≓≎(⪝⪂⫅($1838$⪄$3030$))","expression":"(⫓⪴(⊺⇮2932⪢⊺⇮7832⫩⊇))⫡⨏⊺⇮1044⪢⊺⇮1973∀⇚≩⊺⇮6205⪮%⊝⊺⇮4049⋥≓≎(⪝⪂⫅(⊺⇮1838⪄⊺⇮3030))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":10072,"operation_count":10,"complexity_ratio":1007.2,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2932,"base":10},"right_expr":{"type":"numeric_atoms","value":7832,"base":10}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1044,"base":10},"right_expr":{"type":"numeric_atoms","value":1973,"base":10}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":6205,"base":10},"right_expr":{"type":"numeric_atoms","value":4049,"base":10}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1838,"base":10},"right_expr":{"type":"numeric_atoms","value":3030,"base":10}}}}},"used_operators":["QMFrweE19q","eLxqMNBOBk","BjRHVeLaeN","dWAJyo7jo9","Qy55tPpLXF","LRNGc0VcxI","IWmyXbctLI","XTarYq4gQB","SUmda5xLS4"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","9HNa5Wba9A","8w2t5hMYqp","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2932","layer":4},{"info":"number node, value=7832","layer":4},{"info":"compute binary expreesion, left_input=2932, right_input=7832, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', 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=1044","layer":4},{"info":"number node, value=1973","layer":4},{"info":"compute binary expreesion, left_input=1044, right_input=1973, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=6205","layer":4},{"info":"number node, value=4049","layer":4},{"info":"compute binary expreesion, left_input=6205, right_input=4049, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=12726","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=12726, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1838","layer":4},{"info":"number node, value=3030","layer":4},{"info":"compute binary expreesion, left_input=1838, right_input=3030, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-280233","layer":3},{"info":"compute unary expreesion, input=-280233, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=41194251","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=41194251, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⫓⪴(⊺⇮2932⪢⊺⇮7832⫩⊇))⫡⨏⊺⇮1044⪢⊺⇮1973∀⇚≩⊺⇮6205⪮%⊝⊺⇮4049⋥≓≎(⪝⪂⫅(⊺⇮1838⪄⊺⇮3030))=NaN","reverse_text":"NaN=(⫓⪴(⊺⇮2932⪢⊺⇮7832⫩⊇))⫡⨏⊺⇮1044⪢⊺⇮1973∀⇚≩⊺⇮6205⪮%⊝⊺⇮4049⋥≓≎(⪝⪂⫅(⊺⇮1838⪄⊺⇮3030))","cot":[{"info":"⊺⇮2932⪢⊺⇮7832=NaN","layer":3},{"info":"NaN⫩⊇=NaN","layer":2},{"info":"⫓⪴NaN=NaN","layer":1},{"info":"⊺⇮1044⪢⊺⇮1973=NaN","layer":3},{"info":"⊺⇮6205⪮%⊝⊺⇮4049=⊺⇮12726","layer":3},{"info":"NaN∀⇚≩⊺⇮12726=NaN","layer":2},{"info":"⊺⇮1838⪄⊺⇮3030=⊺⇮-280233","layer":3},{"info":"⪝⪂⫅⊺⇮-280233=⊺⇮41194251","layer":2},{"info":"NaN⋥≓≎⊺⇮41194251=⊺⇮67","layer":1},{"info":"NaN⫡⨏⊺⇮67=NaN","layer":0}]}
{"id":515,"expression_no_base_symbol":"(↯⪼((↣≠⋷$1305$)⫥∨⫟(⊄⩳↩$3268$)))≧⫂∧(((⋗⩬⋾$1789$)⊉≛↸(⫛⫱⨽$5395$))⨳⩥⨓(($6296$+$4346$)∲⫓$1927$⪢$2595$))","expression":"(↯⪼((↣≠⋷⊺⇮1305)⫥∨⫟(⊄⩳↩⊺⇮3268)))≧⫂∧(((⋗⩬⋾⊺⇮1789)⊉≛↸(⫛⫱⨽⊺⇮5395))⨳⩥⨓((⊺⇮6296+⊺⇮4346)∲⫓⊺⇮1927⪢⊺⇮2595))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":4222,"operation_count":12,"complexity_ratio":351.8333333333333,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1305,"base":10}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":3268,"base":10}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1789,"base":10}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":5395,"base":10}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":6296,"base":10},"right_expr":{"type":"numeric_atoms","value":4346,"base":10}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1927,"base":10},"right_expr":{"type":"numeric_atoms","value":2595,"base":10}}}}},"used_operators":["Ph9nP6C5qx","8jW3W4yZS5","KYD54nUTWz","Asc51vEJeQ","8w2t5hMYqp","nCS4ZIUYfx","DZ8iAZOCBD","DpFCA1CohY","DlLNRPXxWL","i8ToyICDmI","W4YGzv6Whe","dWAJyo7jo9"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","8HhzD0ZcuI","rGHVDoGpnC","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1305","layer":4},{"info":"compute unary expreesion, input=1305, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=3268","layer":4},{"info":"compute unary expreesion, input=3268, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-9804","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-9804, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":1},{"info":"number node, value=1789","layer":4},{"info":"compute unary expreesion, input=1789, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-5367","layer":3},{"info":"number node, value=5395","layer":4},{"info":"compute unary expreesion, input=5395, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-5367, 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=6296","layer":4},{"info":"number node, value=4346","layer":4},{"info":"compute binary expreesion, left_input=6296, right_input=4346, op_id = W4YGzv6Whe binary_op_definition= 'None', output=10642","layer":3},{"info":"number node, value=1927","layer":4},{"info":"number node, value=2595","layer":4},{"info":"compute binary expreesion, left_input=1927, right_input=2595, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=10642, 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=0, 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=-21, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(↯⪼((↣≠⋷⊺⇮1305)⫥∨⫟(⊄⩳↩⊺⇮3268)))≧⫂∧(((⋗⩬⋾⊺⇮1789)⊉≛↸(⫛⫱⨽⊺⇮5395))⨳⩥⨓((⊺⇮6296+⊺⇮4346)∲⫓⊺⇮1927⪢⊺⇮2595))=NaN","reverse_text":"NaN=(↯⪼((↣≠⋷⊺⇮1305)⫥∨⫟(⊄⩳↩⊺⇮3268)))≧⫂∧(((⋗⩬⋾⊺⇮1789)⊉≛↸(⫛⫱⨽⊺⇮5395))⨳⩥⨓((⊺⇮6296+⊺⇮4346)∲⫓⊺⇮1927⪢⊺⇮2595))","cot":[{"info":"↣≠⋷⊺⇮1305=NaN","layer":3},{"info":"⊄⩳↩⊺⇮3268=⊺⇮-9804","layer":3},{"info":"NaN⫥∨⫟⊺⇮-9804=NaN","layer":2},{"info":"↯⪼NaN=⊺⇮-21","layer":1},{"info":"⋗⩬⋾⊺⇮1789=⊺⇮-5367","layer":3},{"info":"⫛⫱⨽⊺⇮5395=⊺⇮0","layer":3},{"info":"⊺⇮-5367⊉≛↸⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮6296+⊺⇮4346=⊺⇮10642","layer":3},{"info":"⊺⇮1927⪢⊺⇮2595=NaN","layer":3},{"info":"⊺⇮10642∲⫓NaN=NaN","layer":2},{"info":"⊺⇮0⨳⩥⨓NaN=NaN","layer":1},{"info":"⊺⇮-21≧⫂∧NaN=NaN","layer":0}]}
{"id":516,"expression_no_base_symbol":"(-($3548$⋷$2635$)≭($1115$≣⋋))⊪","expression":"(-(⊺⇮3548⋷⊺⇮2635)≭(⊺⇮1115≣⋋))⊪","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":552,"operation_count":5,"complexity_ratio":110.4,"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":3548,"base":10},"right_expr":{"type":"numeric_atoms","value":2635,"base":10}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":1115,"base":10}}}}},"used_operators":["zVYPLywUTj","t8gj7n24qd","rxpJgHHUmx","23Mk6UjR3U","Tcnh7f0tEr"],"dependent_operators":["sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=3548","layer":4},{"info":"number node, value=2635","layer":4},{"info":"compute binary expreesion, left_input=3548, right_input=2635, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1722","layer":3},{"info":"number node, value=1115","layer":4},{"info":"compute unary expreesion, input=1115, 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=1722, right_input=0, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=-22","layer":2},{"info":"compute unary expreesion, input=-22, op_id = t8gj7n24qd, unary_op_definition = 'None', output=22","layer":1},{"info":"compute unary expreesion, input=22, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":0}],"base":10,"result_base":10,"text":"(-(⊺⇮3548⋷⊺⇮2635)≭(⊺⇮1115≣⋋))⊪=⊺⇮0","reverse_text":"⊺⇮0=(-(⊺⇮3548⋷⊺⇮2635)≭(⊺⇮1115≣⋋))⊪","cot":[{"info":"⊺⇮3548⋷⊺⇮2635=⊺⇮1722","layer":3},{"info":"⊺⇮1115≣⋋=⊺⇮0","layer":3},{"info":"⊺⇮1722≭⊺⇮0=⊺⇮-22","layer":2},{"info":"-⊺⇮-22=⊺⇮22","layer":1},{"info":"⊺⇮22⊪=⊺⇮0","layer":0}]}
{"id":517,"expression_no_base_symbol":"(($3145$≦≮≮)∀⇚≩($5803$≭$1278$))⇷(+⊝⨔($2265$%$1506$))≧⫂∧(($1308$≧⫂∧$1326$)∼($5217$≭$6695$)⋓(($2289$⫥∨⫟$2120$)⩚⊴⇥($2702$+⇶⊼$1543$)))","expression":"((⊺⇮3145≦≮≮)∀⇚≩(⊺⇮5803≭⊺⇮1278))⇷(+⊝⨔(⊺⇮2265%⊺⇮1506))≧⫂∧((⊺⇮1308≧⫂∧⊺⇮1326)∼(⊺⇮5217≭⊺⇮6695)⋓((⊺⇮2289⫥∨⫟⊺⇮2120)⩚⊴⇥(⊺⇮2702+⇶⊼⊺⇮1543)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":66289,"operation_count":14,"complexity_ratio":4734.928571428572,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":3145,"base":10}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":5803,"base":10},"right_expr":{"type":"numeric_atoms","value":1278,"base":10}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2265,"base":10},"right_expr":{"type":"numeric_atoms","value":1506,"base":10}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1308,"base":10},"right_expr":{"type":"numeric_atoms","value":1326,"base":10}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":5217,"base":10},"right_expr":{"type":"numeric_atoms","value":6695,"base":10}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2289,"base":10},"right_expr":{"type":"numeric_atoms","value":2120,"base":10}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2702,"base":10},"right_expr":{"type":"numeric_atoms","value":1543,"base":10}}}}},"used_operators":["Ph9nP6C5qx","mp7IySMOzn","LRNGc0VcxI","D4vGDi5EA2","rxpJgHHUmx","DhbWaqg5eL","k8jYdgA6NY","T2fj7uvVaJ","DyGG3AbaNP","NTOWxs364D","KYD54nUTWz","TpPTUOHfaN"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3145","layer":4},{"info":"compute unary expreesion, input=3145, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-9435","layer":3},{"info":"number node, value=5803","layer":4},{"info":"number node, value=1278","layer":4},{"info":"compute binary expreesion, left_input=5803, right_input=1278, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=-9435, 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=2265","layer":4},{"info":"number node, value=1506","layer":4},{"info":"compute binary expreesion, left_input=2265, right_input=1506, op_id = k8jYdgA6NY binary_op_definition= 'None', output=759","layer":3},{"info":"compute unary expreesion, input=759, 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 = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3044","layer":1},{"info":"number node, value=1308","layer":4},{"info":"number node, value=1326","layer":4},{"info":"compute binary expreesion, left_input=1308, right_input=1326, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=853","layer":3},{"info":"number node, value=5217","layer":4},{"info":"number node, value=6695","layer":4},{"info":"compute binary expreesion, left_input=5217, right_input=6695, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=853, 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=2289","layer":4},{"info":"number node, value=2120","layer":4},{"info":"compute binary expreesion, left_input=2289, right_input=2120, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=2702","layer":4},{"info":"number node, value=1543","layer":4},{"info":"compute binary expreesion, left_input=2702, right_input=1543, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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 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=3044, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮3145≦≮≮)∀⇚≩(⊺⇮5803≭⊺⇮1278))⇷(+⊝⨔(⊺⇮2265%⊺⇮1506))≧⫂∧((⊺⇮1308≧⫂∧⊺⇮1326)∼(⊺⇮5217≭⊺⇮6695)⋓((⊺⇮2289⫥∨⫟⊺⇮2120)⩚⊴⇥(⊺⇮2702+⇶⊼⊺⇮1543)))=NaN","reverse_text":"NaN=((⊺⇮3145≦≮≮)∀⇚≩(⊺⇮5803≭⊺⇮1278))⇷(+⊝⨔(⊺⇮2265%⊺⇮1506))≧⫂∧((⊺⇮1308≧⫂∧⊺⇮1326)∼(⊺⇮5217≭⊺⇮6695)⋓((⊺⇮2289⫥∨⫟⊺⇮2120)⩚⊴⇥(⊺⇮2702+⇶⊼⊺⇮1543)))","cot":[{"info":"⊺⇮3145≦≮≮=⊺⇮-9435","layer":3},{"info":"⊺⇮5803≭⊺⇮1278=NaN","layer":3},{"info":"⊺⇮-9435∀⇚≩NaN=NaN","layer":2},{"info":"⊺⇮2265%⊺⇮1506=⊺⇮759","layer":3},{"info":"+⊝⨔⊺⇮759=⊺⇮1522","layer":2},{"info":"NaN⇷⊺⇮1522=⊺⇮3044","layer":1},{"info":"⊺⇮1308≧⫂∧⊺⇮1326=⊺⇮853","layer":3},{"info":"⊺⇮5217≭⊺⇮6695=NaN","layer":3},{"info":"⊺⇮853∼NaN=NaN","layer":2},{"info":"⊺⇮2289⫥∨⫟⊺⇮2120=NaN","layer":3},{"info":"⊺⇮2702+⇶⊼⊺⇮1543=NaN","layer":3},{"info":"NaN⩚⊴⇥NaN=NaN","layer":2},{"info":"NaN⋓NaN=NaN","layer":1},{"info":"⊺⇮3044≧⫂∧NaN=NaN","layer":0}]}
{"id":518,"expression_no_base_symbol":"($5496$∸)⨐⩸⫘($4865$⨸⪁$1999$)*(($1214$⋷$4069$)%(⇁⨣⪵$2556$))∲⫓((≦∁$4812$)*$3421$⋝⋈⪟$9323$)⫸⊐($4824$⊘)⪄($4545$⊠≄⫣)","expression":"(⊺⇮5496∸)⨐⩸⫘(⊺⇮4865⨸⪁⊺⇮1999)*((⊺⇮1214⋷⊺⇮4069)%(⇁⨣⪵⊺⇮2556))∲⫓((≦∁⊺⇮4812)*⊺⇮3421⋝⋈⪟⊺⇮9323)⫸⊐(⊺⇮4824⊘)⪄(⊺⇮4545⊠≄⫣)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3684,"operation_count":15,"complexity_ratio":245.6,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":5496,"base":10}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4865,"base":10},"right_expr":{"type":"numeric_atoms","value":1999,"base":10}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1214,"base":10},"right_expr":{"type":"numeric_atoms","value":4069,"base":10}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2556,"base":10}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":4812,"base":10}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3421,"base":10},"right_expr":{"type":"numeric_atoms","value":9323,"base":10}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":4824,"base":10}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":4545,"base":10}}}}},"used_operators":["i8ToyICDmI","9HNa5Wba9A","fu6greOZ01","o20kRiQErp","g55IO6H4Gj","k8jYdgA6NY","23Mk6UjR3U","inkyxCbjAn","mqXw5SEYmG","9ICcGScMcE","2DDjHMKMc0","SUmda5xLS4","gu96TGCTMs","DIvbN7qnHd"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","3ViojmjbAp","tmPS8pqC7x","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5496","layer":4},{"info":"compute unary expreesion, input=5496, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=4865","layer":4},{"info":"number node, value=1999","layer":4},{"info":"compute binary expreesion, left_input=4865, right_input=1999, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=13728","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=13728, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=1214","layer":4},{"info":"number node, value=4069","layer":4},{"info":"compute binary expreesion, left_input=1214, right_input=4069, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=6924","layer":3},{"info":"number node, value=2556","layer":4},{"info":"compute unary expreesion, input=2556, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=6924, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=4812","layer":4},{"info":"compute unary expreesion, input=4812, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=4812","layer":3},{"info":"number node, value=3421","layer":4},{"info":"number node, value=9323","layer":4},{"info":"compute binary expreesion, left_input=3421, right_input=9323, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3421","layer":3},{"info":"compute binary expreesion, left_input=4812, right_input=3421, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=16461852","layer":2},{"info":"number node, value=4824","layer":4},{"info":"compute unary expreesion, input=4824, 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=4545","layer":4},{"info":"compute unary expreesion, input=4545, 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 = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3911","layer":2},{"info":"compute binary expreesion, left_input=16461852, right_input=3911, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=15519","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=15519, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮5496∸)⨐⩸⫘(⊺⇮4865⨸⪁⊺⇮1999)*((⊺⇮1214⋷⊺⇮4069)%(⇁⨣⪵⊺⇮2556))∲⫓((≦∁⊺⇮4812)*⊺⇮3421⋝⋈⪟⊺⇮9323)⫸⊐(⊺⇮4824⊘)⪄(⊺⇮4545⊠≄⫣)=⊺⇮0","reverse_text":"⊺⇮0=(⊺⇮5496∸)⨐⩸⫘(⊺⇮4865⨸⪁⊺⇮1999)*((⊺⇮1214⋷⊺⇮4069)%(⇁⨣⪵⊺⇮2556))∲⫓((≦∁⊺⇮4812)*⊺⇮3421⋝⋈⪟⊺⇮9323)⫸⊐(⊺⇮4824⊘)⪄(⊺⇮4545⊠≄⫣)","cot":[{"info":"⊺⇮5496∸=⊺⇮177","layer":3},{"info":"⊺⇮4865⨸⪁⊺⇮1999=⊺⇮13728","layer":3},{"info":"⊺⇮177⨐⩸⫘⊺⇮13728=NaN","layer":2},{"info":"⊺⇮1214⋷⊺⇮4069=⊺⇮6924","layer":3},{"info":"⇁⨣⪵⊺⇮2556=NaN","layer":3},{"info":"⊺⇮6924%NaN=NaN","layer":2},{"info":"NaN*NaN=NaN","layer":1},{"info":"≦∁⊺⇮4812=⊺⇮4812","layer":3},{"info":"⊺⇮3421⋝⋈⪟⊺⇮9323=⊺⇮3421","layer":3},{"info":"⊺⇮4812*⊺⇮3421=⊺⇮16461852","layer":2},{"info":"⊺⇮4824⊘=⊺⇮0","layer":3},{"info":"⊺⇮4545⊠≄⫣=⊺⇮0","layer":3},{"info":"⊺⇮0⪄⊺⇮0=⊺⇮3911","layer":2},{"info":"⊺⇮16461852⫸⊐⊺⇮3911=⊺⇮15519","layer":1},{"info":"NaN∲⫓⊺⇮15519=⊺⇮0","layer":0}]}
{"id":519,"expression_no_base_symbol":"((⫓⪴(↽≂$1845$))⨳⩥⨓($2384$⇼⇔∾$6316$∲⫓($2140$↪⪝)))⩷∴(⋗⩬⋾($8195$∸))⪮%⊝($1187$*$3781$⫡⨏$2842$⪒$3990$)","expression":"((⫓⪴(↽≂⊺⇮1845))⨳⩥⨓(⊺⇮2384⇼⇔∾⊺⇮6316∲⫓(⊺⇮2140↪⪝)))⩷∴(⋗⩬⋾(⊺⇮8195∸))⪮%⊝(⊺⇮1187*⊺⇮3781⫡⨏⊺⇮2842⪒⊺⇮3990)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5792,"operation_count":13,"complexity_ratio":445.53846153846155,"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":1845,"base":10}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2384,"base":10},"right_expr":{"type":"numeric_atoms","value":6316,"base":10}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":2140,"base":10}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":8195,"base":10}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1187,"base":10},"right_expr":{"type":"numeric_atoms","value":3781,"base":10}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2842,"base":10},"right_expr":{"type":"numeric_atoms","value":3990,"base":10}}}}},"used_operators":["9FxExcQeMw","nCS4ZIUYfx","eLxqMNBOBk","u6S6b8DprG","i8ToyICDmI","tifHPKVTfV","l07mrZUIn9","IWmyXbctLI","DpFCA1CohY","o20kRiQErp","QMFrweE19q","9HNa5Wba9A","f6k1SAg4EE"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮-27230740","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1845","layer":4},{"info":"compute unary expreesion, input=1845, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-3690","layer":3},{"info":"compute unary expreesion, input=-3690, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=13616100","layer":2},{"info":"number node, value=2384","layer":4},{"info":"number node, value=6316","layer":4},{"info":"compute binary expreesion, left_input=2384, right_input=6316, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=3932","layer":3},{"info":"number node, value=2140","layer":4},{"info":"compute unary expreesion, input=2140, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=130929480","layer":3},{"info":"compute binary expreesion, left_input=3932, right_input=130929480, 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=13616100, right_input=0, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-13616100","layer":1},{"info":"number node, value=8195","layer":4},{"info":"compute unary expreesion, input=8195, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute unary expreesion, input=177, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-531","layer":2},{"info":"number node, value=1187","layer":4},{"info":"number node, value=3781","layer":4},{"info":"compute binary expreesion, left_input=1187, right_input=3781, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4488047","layer":3},{"info":"number node, value=2842","layer":4},{"info":"number node, value=3990","layer":4},{"info":"compute binary expreesion, left_input=2842, right_input=3990, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6832","layer":3},{"info":"compute binary expreesion, left_input=4488047, right_input=-6832, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=22427354","layer":2},{"info":"compute binary expreesion, left_input=-531, right_input=22427354, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-746","layer":1},{"info":"compute binary expreesion, left_input=-13616100, right_input=-746, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-27230740","layer":0}],"base":10,"result_base":10,"text":"((⫓⪴(↽≂⊺⇮1845))⨳⩥⨓(⊺⇮2384⇼⇔∾⊺⇮6316∲⫓(⊺⇮2140↪⪝)))⩷∴(⋗⩬⋾(⊺⇮8195∸))⪮%⊝(⊺⇮1187*⊺⇮3781⫡⨏⊺⇮2842⪒⊺⇮3990)=⊺⇮-27230740","reverse_text":"⊺⇮-27230740=((⫓⪴(↽≂⊺⇮1845))⨳⩥⨓(⊺⇮2384⇼⇔∾⊺⇮6316∲⫓(⊺⇮2140↪⪝)))⩷∴(⋗⩬⋾(⊺⇮8195∸))⪮%⊝(⊺⇮1187*⊺⇮3781⫡⨏⊺⇮2842⪒⊺⇮3990)","cot":[{"info":"↽≂⊺⇮1845=⊺⇮-3690","layer":3},{"info":"⫓⪴⊺⇮-3690=⊺⇮13616100","layer":2},{"info":"⊺⇮2384⇼⇔∾⊺⇮6316=⊺⇮3932","layer":3},{"info":"⊺⇮2140↪⪝=⊺⇮130929480","layer":3},{"info":"⊺⇮3932∲⫓⊺⇮130929480=⊺⇮0","layer":2},{"info":"⊺⇮13616100⨳⩥⨓⊺⇮0=⊺⇮-13616100","layer":1},{"info":"⊺⇮8195∸=⊺⇮177","layer":3},{"info":"⋗⩬⋾⊺⇮177=⊺⇮-531","layer":2},{"info":"⊺⇮1187*⊺⇮3781=⊺⇮4488047","layer":3},{"info":"⊺⇮2842⪒⊺⇮3990=⊺⇮-6832","layer":3},{"info":"⊺⇮4488047⫡⨏⊺⇮-6832=⊺⇮22427354","layer":2},{"info":"⊺⇮-531⪮%⊝⊺⇮22427354=⊺⇮-746","layer":1},{"info":"⊺⇮-13616100⩷∴⊺⇮-746=⊺⇮-27230740","layer":0}]}
{"id":520,"expression_no_base_symbol":"($2212$⪛$3415$⨸⪁$2447$⪛$4184$⩨(↯⪼($2290$⊠≄⫣)))⪠⩆⊳","expression":"(⊺⇮2212⪛⊺⇮3415⨸⪁⊺⇮2447⪛⊺⇮4184⩨(↯⪼(⊺⇮2290⊠≄⫣)))⪠⩆⊳","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":55,"operation_count":7,"complexity_ratio":7.857142857142857,"tree":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2212,"base":10},"right_expr":{"type":"numeric_atoms","value":3415,"base":10}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2447,"base":10},"right_expr":{"type":"numeric_atoms","value":4184,"base":10}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":2290,"base":10}}}}},"used_operators":["JLbD19bQDL","2DlMacCsIx","g55IO6H4Gj","uFcxV4UQCh","8jW3W4yZS5","DIvbN7qnHd"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2212","layer":4},{"info":"number node, value=3415","layer":4},{"info":"compute binary expreesion, left_input=2212, right_input=3415, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2212","layer":3},{"info":"number node, value=2447","layer":4},{"info":"number node, value=4184","layer":4},{"info":"compute binary expreesion, left_input=2447, right_input=4184, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2447","layer":3},{"info":"compute binary expreesion, left_input=2212, right_input=2447, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9318","layer":2},{"info":"number node, value=2290","layer":4},{"info":"compute unary expreesion, input=2290, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', 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=9318, right_input=-21, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=3","layer":1},{"info":"compute unary expreesion, input=3, op_id = 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":10,"result_base":10,"text":"(⊺⇮2212⪛⊺⇮3415⨸⪁⊺⇮2447⪛⊺⇮4184⩨(↯⪼(⊺⇮2290⊠≄⫣)))⪠⩆⊳=⊺⇮0","reverse_text":"⊺⇮0=(⊺⇮2212⪛⊺⇮3415⨸⪁⊺⇮2447⪛⊺⇮4184⩨(↯⪼(⊺⇮2290⊠≄⫣)))⪠⩆⊳","cot":[{"info":"⊺⇮2212⪛⊺⇮3415=⊺⇮2212","layer":3},{"info":"⊺⇮2447⪛⊺⇮4184=⊺⇮2447","layer":3},{"info":"⊺⇮2212⨸⪁⊺⇮2447=⊺⇮9318","layer":2},{"info":"⊺⇮2290⊠≄⫣=⊺⇮0","layer":3},{"info":"↯⪼⊺⇮0=⊺⇮-21","layer":2},{"info":"⊺⇮9318⩨⊺⇮-21=⊺⇮3","layer":1},{"info":"⊺⇮3⪠⩆⊳=⊺⇮0","layer":0}]}
{"id":521,"expression_no_base_symbol":"(⫓⪴($5293$⨟⋌⩍$6194$+$1590$∲⫓$2193$))⨁⊸⫻","expression":"(⫓⪴(⊺⇮5293⨟⋌⩍⊺⇮6194+⊺⇮1590∲⫓⊺⇮2193))⨁⊸⫻","highest_n_order":4,"priority_hierarchical_complexity":5,"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":5293,"base":10},"right_expr":{"type":"numeric_atoms","value":6194,"base":10}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1590,"base":10},"right_expr":{"type":"numeric_atoms","value":2193,"base":10}}}}},"used_operators":["glklzrTFfD","eLxqMNBOBk","W4YGzv6Whe","rGHVDoGpnC","i8ToyICDmI"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=5293","layer":4},{"info":"number node, value=6194","layer":4},{"info":"compute binary expreesion, left_input=5293, right_input=6194, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1590","layer":4},{"info":"number node, value=2193","layer":4},{"info":"compute binary expreesion, left_input=1590, right_input=2193, 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 = W4YGzv6Whe binary_op_definition= 'None', 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 = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⫓⪴(⊺⇮5293⨟⋌⩍⊺⇮6194+⊺⇮1590∲⫓⊺⇮2193))⨁⊸⫻=NaN","reverse_text":"NaN=(⫓⪴(⊺⇮5293⨟⋌⩍⊺⇮6194+⊺⇮1590∲⫓⊺⇮2193))⨁⊸⫻","cot":[{"info":"⊺⇮5293⨟⋌⩍⊺⇮6194=NaN","layer":3},{"info":"⊺⇮1590∲⫓⊺⇮2193=⊺⇮0","layer":3},{"info":"NaN+⊺⇮0=NaN","layer":2},{"info":"⫓⪴NaN=NaN","layer":1},{"info":"NaN⨁⊸⫻=NaN","layer":0}]}
{"id":522,"expression_no_base_symbol":"⨑⩽⪐((+⊝⨔$6494$)∼($6482$⇷$7015$)⨁⊸⫻)","expression":"⨑⩽⪐((+⊝⨔⊺⇮6494)∼(⊺⇮6482⇷⊺⇮7015)⨁⊸⫻)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":90833,"operation_count":5,"complexity_ratio":18166.6,"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":6494,"base":10}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":6482,"base":10},"right_expr":{"type":"numeric_atoms","value":7015,"base":10}}}}},"used_operators":["AF7qkfDlqP","glklzrTFfD","DyGG3AbaNP","DhbWaqg5eL","mp7IySMOzn"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6494","layer":4},{"info":"compute unary expreesion, input=6494, 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=6482","layer":4},{"info":"number node, value=7015","layer":4},{"info":"compute binary expreesion, left_input=6482, right_input=7015, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=14030","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=14030, 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 = 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 = 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":10,"result_base":10,"text":"⨑⩽⪐((+⊝⨔⊺⇮6494)∼(⊺⇮6482⇷⊺⇮7015)⨁⊸⫻)=NaN","reverse_text":"NaN=⨑⩽⪐((+⊝⨔⊺⇮6494)∼(⊺⇮6482⇷⊺⇮7015)⨁⊸⫻)","cot":[{"info":"+⊝⨔⊺⇮6494=⊺⇮1522","layer":3},{"info":"⊺⇮6482⇷⊺⇮7015=⊺⇮14030","layer":3},{"info":"⊺⇮1522∼⊺⇮14030=NaN","layer":2},{"info":"NaN⨁⊸⫻=NaN","layer":1},{"info":"⨑⩽⪐NaN=NaN","layer":0}]}
{"id":523,"expression_no_base_symbol":"(($6614$⨓$3071$)⨟⋌⩍($8545$⇷$2482$)⋷($3753$⨵⪆$4049$)⋝⋈⪟$4521$⨟⋌⩍$4010$)⪘⫢(⨈⫕(($3628$⩨$6994$)⊠≄⫣))","expression":"((⊺⇮6614⨓⊺⇮3071)⨟⋌⩍(⊺⇮8545⇷⊺⇮2482)⋷(⊺⇮3753⨵⪆⊺⇮4049)⋝⋈⪟⊺⇮4521⨟⋌⩍⊺⇮4010)⪘⫢(⨈⫕((⊺⇮3628⩨⊺⇮6994)⊠≄⫣))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":123123,"operation_count":11,"complexity_ratio":11193.0,"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":6614,"base":10},"right_expr":{"type":"numeric_atoms","value":3071,"base":10}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":8545,"base":10},"right_expr":{"type":"numeric_atoms","value":2482,"base":10}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3753,"base":10},"right_expr":{"type":"numeric_atoms","value":4049,"base":10}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4521,"base":10},"right_expr":{"type":"numeric_atoms","value":4010,"base":10}}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3628,"base":10},"right_expr":{"type":"numeric_atoms","value":6994,"base":10}}}}},"used_operators":["oacrs7FA3X","23Mk6UjR3U","rGHVDoGpnC","3ViojmjbAp","mp7IySMOzn","2DDjHMKMc0","2DQ55sFlQl","megm06wKyl","DIvbN7qnHd","2DlMacCsIx"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6614","layer":4},{"info":"number node, value=3071","layer":4},{"info":"compute binary expreesion, left_input=6614, right_input=3071, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3074","layer":3},{"info":"number node, value=8545","layer":4},{"info":"number node, value=2482","layer":4},{"info":"compute binary expreesion, left_input=8545, right_input=2482, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4964","layer":3},{"info":"compute binary expreesion, left_input=-3074, right_input=4964, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=3753","layer":4},{"info":"number node, value=4049","layer":4},{"info":"compute binary expreesion, left_input=3753, right_input=4049, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=4521","layer":4},{"info":"number node, value=4010","layer":4},{"info":"compute binary expreesion, left_input=4521, right_input=4010, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=160, 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 = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":1},{"info":"number node, value=3628","layer":4},{"info":"number node, value=6994","layer":4},{"info":"compute binary expreesion, left_input=3628, right_input=6994, 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 = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":1},{"info":"compute 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":10,"result_base":10,"text":"((⊺⇮6614⨓⊺⇮3071)⨟⋌⩍(⊺⇮8545⇷⊺⇮2482)⋷(⊺⇮3753⨵⪆⊺⇮4049)⋝⋈⪟⊺⇮4521⨟⋌⩍⊺⇮4010)⪘⫢(⨈⫕((⊺⇮3628⩨⊺⇮6994)⊠≄⫣))=NaN","reverse_text":"NaN=((⊺⇮6614⨓⊺⇮3071)⨟⋌⩍(⊺⇮8545⇷⊺⇮2482)⋷(⊺⇮3753⨵⪆⊺⇮4049)⋝⋈⪟⊺⇮4521⨟⋌⩍⊺⇮4010)⪘⫢(⨈⫕((⊺⇮3628⩨⊺⇮6994)⊠≄⫣))","cot":[{"info":"⊺⇮6614⨓⊺⇮3071=⊺⇮-3074","layer":3},{"info":"⊺⇮8545⇷⊺⇮2482=⊺⇮4964","layer":3},{"info":"⊺⇮-3074⨟⋌⩍⊺⇮4964=NaN","layer":2},{"info":"⊺⇮3753⨵⪆⊺⇮4049=⊺⇮160","layer":3},{"info":"⊺⇮4521⨟⋌⩍⊺⇮4010=NaN","layer":3},{"info":"⊺⇮160⋝⋈⪟NaN=NaN","layer":2},{"info":"NaN⋷NaN=NaN","layer":1},{"info":"⊺⇮3628⩨⊺⇮6994=⊺⇮-3","layer":3},{"info":"⊺⇮-3⊠≄⫣=⊺⇮0","layer":2},{"info":"⨈⫕⊺⇮0=⊺⇮-21","layer":1},{"info":"NaN⪘⫢⊺⇮-21=NaN","layer":0}]}
{"id":524,"expression_no_base_symbol":"(⇁⨣⪵($5239$⫸⊐$2331$)↙($2849$⊭↱$2577$))⨸⪁($1409$⩷∴$3112$⋷$6387$⨸⪁$1904$)⊴(↯⪼($1601$⨸⪁$1957$))","expression":"(⇁⨣⪵(⊺⇮5239⫸⊐⊺⇮2331)↙(⊺⇮2849⊭↱⊺⇮2577))⨸⪁(⊺⇮1409⩷∴⊺⇮3112⋷⊺⇮6387⨸⪁⊺⇮1904)⊴(↯⪼(⊺⇮1601⨸⪁⊺⇮1957))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1546,"operation_count":11,"complexity_ratio":140.54545454545453,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":5239,"base":10},"right_expr":{"type":"numeric_atoms","value":2331,"base":10}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2849,"base":10},"right_expr":{"type":"numeric_atoms","value":2577,"base":10}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1409,"base":10},"right_expr":{"type":"numeric_atoms","value":3112,"base":10}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":6387,"base":10},"right_expr":{"type":"numeric_atoms","value":1904,"base":10}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1601,"base":10},"right_expr":{"type":"numeric_atoms","value":1957,"base":10}}}}},"used_operators":["g55IO6H4Gj","inkyxCbjAn","yyfyN0ffXY","mqXw5SEYmG","COABgblf1C","Nsiff2A1zJ","23Mk6UjR3U","9FxExcQeMw","8jW3W4yZS5"],"dependent_operators":["W4YGzv6Whe","B5M0gjZbta","tmPS8pqC7x","DpFCA1CohY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5239","layer":4},{"info":"number node, value=2331","layer":4},{"info":"compute binary expreesion, left_input=5239, right_input=2331, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=9199","layer":3},{"info":"number node, value=2849","layer":4},{"info":"number node, value=2577","layer":4},{"info":"compute binary expreesion, left_input=2849, right_input=2577, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-539","layer":3},{"info":"compute binary expreesion, left_input=9199, right_input=-539, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-1617","layer":2},{"info":"compute unary expreesion, input=-1617, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"number node, value=1409","layer":4},{"info":"number node, value=3112","layer":4},{"info":"compute binary expreesion, left_input=1409, right_input=3112, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-3438","layer":3},{"info":"number node, value=6387","layer":4},{"info":"number node, value=1904","layer":4},{"info":"compute binary expreesion, left_input=6387, right_input=1904, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=16582","layer":3},{"info":"compute binary expreesion, left_input=-3438, right_input=16582, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=6876","layer":2},{"info":"number node, value=1601","layer":4},{"info":"number node, value=1957","layer":4},{"info":"compute binary expreesion, left_input=1601, right_input=1957, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=7116","layer":3},{"info":"compute unary expreesion, input=7116, 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=6876, right_input=-21, 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 = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⇁⨣⪵(⊺⇮5239⫸⊐⊺⇮2331)↙(⊺⇮2849⊭↱⊺⇮2577))⨸⪁(⊺⇮1409⩷∴⊺⇮3112⋷⊺⇮6387⨸⪁⊺⇮1904)⊴(↯⪼(⊺⇮1601⨸⪁⊺⇮1957))=NaN","reverse_text":"NaN=(⇁⨣⪵(⊺⇮5239⫸⊐⊺⇮2331)↙(⊺⇮2849⊭↱⊺⇮2577))⨸⪁(⊺⇮1409⩷∴⊺⇮3112⋷⊺⇮6387⨸⪁⊺⇮1904)⊴(↯⪼(⊺⇮1601⨸⪁⊺⇮1957))","cot":[{"info":"⊺⇮5239⫸⊐⊺⇮2331=⊺⇮9199","layer":3},{"info":"⊺⇮2849⊭↱⊺⇮2577=⊺⇮-539","layer":3},{"info":"⊺⇮9199↙⊺⇮-539=⊺⇮-1617","layer":2},{"info":"⇁⨣⪵⊺⇮-1617=NaN","layer":1},{"info":"⊺⇮1409⩷∴⊺⇮3112=⊺⇮-3438","layer":3},{"info":"⊺⇮6387⨸⪁⊺⇮1904=⊺⇮16582","layer":3},{"info":"⊺⇮-3438⋷⊺⇮16582=⊺⇮6876","layer":2},{"info":"⊺⇮1601⨸⪁⊺⇮1957=⊺⇮7116","layer":3},{"info":"↯⪼⊺⇮7116=⊺⇮-21","layer":2},{"info":"⊺⇮6876⊴⊺⇮-21=NaN","layer":1},{"info":"NaN⨸⪁NaN=NaN","layer":0}]}
{"id":525,"expression_no_base_symbol":"((($1677$⇋≉)⊉≛↸($1174$∲⫓$1657$))⊠≄⫣)*((⊥(∥⊫$8525$))⩤)","expression":"(((⊺⇮1677⇋≉)⊉≛↸(⊺⇮1174∲⫓⊺⇮1657))⊠≄⫣)*((⊥(∥⊫⊺⇮8525))⩤)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":17,"operation_count":8,"complexity_ratio":2.125,"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":1677,"base":10}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1174,"base":10},"right_expr":{"type":"numeric_atoms","value":1657,"base":10}}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":8525,"base":10}}}}},"used_operators":["9HNa5Wba9A","DIvbN7qnHd","DZ8iAZOCBD","XIabStNQrY","i8ToyICDmI","Z2TMIBDE3Q","Q3PJZHRvZv","P8v4zCKN1o"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=1677","layer":4},{"info":"compute unary expreesion, input=1677, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=3256","layer":3},{"info":"number node, value=1174","layer":4},{"info":"number node, value=1657","layer":4},{"info":"compute binary expreesion, left_input=1174, right_input=1657, 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=3256, right_input=0, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6512","layer":2},{"info":"compute unary expreesion, input=6512, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"number node, value=8525","layer":4},{"info":"compute unary expreesion, input=8525, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=9393","layer":3},{"info":"compute unary expreesion, input=9393, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮1677⇋≉)⊉≛↸(⊺⇮1174∲⫓⊺⇮1657))⊠≄⫣)*((⊥(∥⊫⊺⇮8525))⩤)=NaN","reverse_text":"NaN=(((⊺⇮1677⇋≉)⊉≛↸(⊺⇮1174∲⫓⊺⇮1657))⊠≄⫣)*((⊥(∥⊫⊺⇮8525))⩤)","cot":[{"info":"⊺⇮1677⇋≉=⊺⇮3256","layer":3},{"info":"⊺⇮1174∲⫓⊺⇮1657=⊺⇮0","layer":3},{"info":"⊺⇮3256⊉≛↸⊺⇮0=⊺⇮6512","layer":2},{"info":"⊺⇮6512⊠≄⫣=⊺⇮0","layer":1},{"info":"∥⊫⊺⇮8525=⊺⇮9393","layer":3},{"info":"⊥⊺⇮9393=NaN","layer":2},{"info":"NaN⩤=NaN","layer":1},{"info":"⊺⇮0*NaN=NaN","layer":0}]}
{"id":526,"expression_no_base_symbol":"∥⊫(($6621$⨓$2812$⊠≄⫣)⊉≛↸(⨵≀≌$1011$)⋓($1248$⩚⊴⇥$1055$))","expression":"∥⊫((⊺⇮6621⨓⊺⇮2812⊠≄⫣)⊉≛↸(⨵≀≌⊺⇮1011)⋓(⊺⇮1248⩚⊴⇥⊺⇮1055))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2846,"operation_count":7,"complexity_ratio":406.57142857142856,"tree":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":6621,"base":10},"right_expr":{"type":"numeric_atoms","value":2812,"base":10}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1011,"base":10}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1248,"base":10},"right_expr":{"type":"numeric_atoms","value":1055,"base":10}}}}},"used_operators":["P8v4zCKN1o","DZ8iAZOCBD","DIvbN7qnHd","3ViojmjbAp","T2fj7uvVaJ","srAu1WTS94","NTOWxs364D"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⊺⇮868","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6621","layer":4},{"info":"number node, value=2812","layer":4},{"info":"compute binary expreesion, left_input=6621, right_input=2812, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2815","layer":3},{"info":"compute unary expreesion, input=-2815, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"number node, value=1011","layer":4},{"info":"compute unary expreesion, input=1011, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3033","layer":3},{"info":"number node, value=1248","layer":4},{"info":"number node, value=1055","layer":4},{"info":"compute binary expreesion, left_input=1248, right_input=1055, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2424","layer":3},{"info":"compute binary expreesion, left_input=-3033, right_input=-2424, op_id = T2fj7uvVaJ binary_op_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 = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=868","layer":0}],"base":10,"result_base":10,"text":"∥⊫((⊺⇮6621⨓⊺⇮2812⊠≄⫣)⊉≛↸(⨵≀≌⊺⇮1011)⋓(⊺⇮1248⩚⊴⇥⊺⇮1055))=⊺⇮868","reverse_text":"⊺⇮868=∥⊫((⊺⇮6621⨓⊺⇮2812⊠≄⫣)⊉≛↸(⨵≀≌⊺⇮1011)⋓(⊺⇮1248⩚⊴⇥⊺⇮1055))","cot":[{"info":"⊺⇮6621⨓⊺⇮2812=⊺⇮-2815","layer":3},{"info":"⊺⇮-2815⊠≄⫣=⊺⇮0","layer":2},{"info":"⨵≀≌⊺⇮1011=⊺⇮-3033","layer":3},{"info":"⊺⇮1248⩚⊴⇥⊺⇮1055=⊺⇮-2424","layer":3},{"info":"⊺⇮-3033⋓⊺⇮-2424=⊺⇮0","layer":2},{"info":"⊺⇮0⊉≛↸⊺⇮0=⊺⇮0","layer":1},{"info":"∥⊫⊺⇮0=⊺⇮868","layer":0}]}
{"id":527,"expression_no_base_symbol":"((($1406$⪒$2564$)⇼⇔∾$6353$⨟⋌⩍$1017$)↺(⊙↵-($5196$⨸⪁$8345$)))∼(($7067$≣⋋)⪮%⊝($4142$∀⇚≩$1266$)⪒(⨵≀≌$1806$)+⇶⊼(⫛⫱⨽$7500$))","expression":"(((⊺⇮1406⪒⊺⇮2564)⇼⇔∾⊺⇮6353⨟⋌⩍⊺⇮1017)↺(⊙↵-(⊺⇮5196⨸⪁⊺⇮8345)))∼((⊺⇮7067≣⋋)⪮%⊝(⊺⇮4142∀⇚≩⊺⇮1266)⪒(⨵≀≌⊺⇮1806)+⇶⊼(⫛⫱⨽⊺⇮7500))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":58088,"operation_count":14,"complexity_ratio":4149.142857142857,"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":1406,"base":10},"right_expr":{"type":"numeric_atoms","value":2564,"base":10}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":6353,"base":10},"right_expr":{"type":"numeric_atoms","value":1017,"base":10}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":5196,"base":10},"right_expr":{"type":"numeric_atoms","value":8345,"base":10}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":7067,"base":10}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4142,"base":10},"right_expr":{"type":"numeric_atoms","value":1266,"base":10}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1806,"base":10}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":7500,"base":10}}}}},"used_operators":["DyGG3AbaNP","7j4O788W3g","tifHPKVTfV","f6k1SAg4EE","rGHVDoGpnC","oWn0xqSxBt","g55IO6H4Gj","IWmyXbctLI","Tcnh7f0tEr","LRNGc0VcxI","TpPTUOHfaN","srAu1WTS94","DlLNRPXxWL"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","X99M06cbEe","AHs5Up7iyr","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1406","layer":4},{"info":"number node, value=2564","layer":4},{"info":"compute binary expreesion, left_input=1406, right_input=2564, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3970","layer":3},{"info":"number node, value=6353","layer":4},{"info":"number node, value=1017","layer":4},{"info":"compute binary expreesion, left_input=6353, right_input=1017, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=-3970, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"number node, value=5196","layer":4},{"info":"number node, value=8345","layer":4},{"info":"compute binary expreesion, left_input=5196, right_input=8345, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=27082","layer":3},{"info":"compute unary expreesion, input=27082, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-1","layer":1},{"info":"number node, value=7067","layer":4},{"info":"compute unary expreesion, input=7067, 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=4142","layer":4},{"info":"number node, value=1266","layer":4},{"info":"compute binary expreesion, left_input=4142, right_input=1266, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"number node, value=1806","layer":4},{"info":"compute unary expreesion, input=1806, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-5418","layer":3},{"info":"number node, value=7500","layer":4},{"info":"compute unary expreesion, input=7500, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-5418, right_input=0, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-1, 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":10,"result_base":10,"text":"(((⊺⇮1406⪒⊺⇮2564)⇼⇔∾⊺⇮6353⨟⋌⩍⊺⇮1017)↺(⊙↵-(⊺⇮5196⨸⪁⊺⇮8345)))∼((⊺⇮7067≣⋋)⪮%⊝(⊺⇮4142∀⇚≩⊺⇮1266)⪒(⨵≀≌⊺⇮1806)+⇶⊼(⫛⫱⨽⊺⇮7500))=NaN","reverse_text":"NaN=(((⊺⇮1406⪒⊺⇮2564)⇼⇔∾⊺⇮6353⨟⋌⩍⊺⇮1017)↺(⊙↵-(⊺⇮5196⨸⪁⊺⇮8345)))∼((⊺⇮7067≣⋋)⪮%⊝(⊺⇮4142∀⇚≩⊺⇮1266)⪒(⨵≀≌⊺⇮1806)+⇶⊼(⫛⫱⨽⊺⇮7500))","cot":[{"info":"⊺⇮1406⪒⊺⇮2564=⊺⇮-3970","layer":3},{"info":"⊺⇮6353⨟⋌⩍⊺⇮1017=NaN","layer":3},{"info":"⊺⇮-3970⇼⇔∾NaN=NaN","layer":2},{"info":"⊺⇮5196⨸⪁⊺⇮8345=⊺⇮27082","layer":3},{"info":"⊙↵-⊺⇮27082=⊺⇮-1","layer":2},{"info":"NaN↺⊺⇮-1=⊺⇮-1","layer":1},{"info":"⊺⇮7067≣⋋=⊺⇮0","layer":3},{"info":"⊺⇮4142∀⇚≩⊺⇮1266=NaN","layer":3},{"info":"⊺⇮0⪮%⊝NaN=NaN","layer":2},{"info":"⨵≀≌⊺⇮1806=⊺⇮-5418","layer":3},{"info":"⫛⫱⨽⊺⇮7500=⊺⇮0","layer":3},{"info":"⊺⇮-5418+⇶⊼⊺⇮0=⊺⇮0","layer":2},{"info":"NaN⪒⊺⇮0=NaN","layer":1},{"info":"⊺⇮-1∼NaN=NaN","layer":0}]}
{"id":528,"expression_no_base_symbol":"(↥($2939$↬$7106$)⇷$5509$⨟⋌⩍$3533$)+⇶⊼(⨞⊢(⇁⨣⪵$1050$≎⊠⪸$3137$))","expression":"(↥(⊺⇮2939↬⊺⇮7106)⇷⊺⇮5509⨟⋌⩍⊺⇮3533)+⇶⊼(⨞⊢(⇁⨣⪵⊺⇮1050≎⊠⪸⊺⇮3137))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":284,"operation_count":8,"complexity_ratio":35.5,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2939,"base":10},"right_expr":{"type":"numeric_atoms","value":7106,"base":10}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":5509,"base":10},"right_expr":{"type":"numeric_atoms","value":3533,"base":10}}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1050,"base":10},"right_expr":{"type":"numeric_atoms","value":3137,"base":10}}}}},"used_operators":["TpPTUOHfaN","A8NUZmVepG","mp7IySMOzn","B5M0gjZbta","rGHVDoGpnC","xUOZtlo3hN","inkyxCbjAn","bJkvcejdHO"],"dependent_operators":["AHs5Up7iyr","k8jYdgA6NY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rGHVDoGpnC","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2939","layer":4},{"info":"number node, value=7106","layer":4},{"info":"compute binary expreesion, left_input=2939, right_input=7106, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=5509","layer":4},{"info":"number node, value=3533","layer":4},{"info":"compute binary expreesion, left_input=5509, right_input=3533, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', 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=1050","layer":4},{"info":"number node, value=3137","layer":4},{"info":"compute binary expreesion, left_input=1050, right_input=3137, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=271477","layer":3},{"info":"compute unary expreesion, input=271477, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵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":"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":10,"result_base":10,"text":"(↥(⊺⇮2939↬⊺⇮7106)⇷⊺⇮5509⨟⋌⩍⊺⇮3533)+⇶⊼(⨞⊢(⇁⨣⪵⊺⇮1050≎⊠⪸⊺⇮3137))=NaN","reverse_text":"NaN=(↥(⊺⇮2939↬⊺⇮7106)⇷⊺⇮5509⨟⋌⩍⊺⇮3533)+⇶⊼(⨞⊢(⇁⨣⪵⊺⇮1050≎⊠⪸⊺⇮3137))","cot":[{"info":"⊺⇮2939↬⊺⇮7106=NaN","layer":3},{"info":"⊺⇮5509⨟⋌⩍⊺⇮3533=NaN","layer":3},{"info":"NaN⇷NaN=NaN","layer":2},{"info":"↥NaN=NaN","layer":1},{"info":"⊺⇮1050≎⊠⪸⊺⇮3137=⊺⇮271477","layer":3},{"info":"⇁⨣⪵⊺⇮271477=NaN","layer":2},{"info":"⨞⊢NaN=NaN","layer":1},{"info":"NaN+⇶⊼NaN=NaN","layer":0}]}
{"id":529,"expression_no_base_symbol":"($6741$⇷$2408$≧⫂∧($4185$⩚⊴⇥$4940$)⫡⨏(⊙↵-($3942$*$5838$)))≭(⪲⇎($1374$↺$7615$))≹⇙⪍(($1507$/$7216$)⨐⩸⫘($2537$*$2315$))","expression":"(⊺⇮6741⇷⊺⇮2408≧⫂∧(⊺⇮4185⩚⊴⇥⊺⇮4940)⫡⨏(⊙↵-(⊺⇮3942*⊺⇮5838)))≭(⪲⇎(⊺⇮1374↺⊺⇮7615))≹⇙⪍((⊺⇮1507/⊺⇮7216)⨐⩸⫘(⊺⇮2537*⊺⇮2315))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":100704,"operation_count":13,"complexity_ratio":7746.461538461538,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":6741,"base":10},"right_expr":{"type":"numeric_atoms","value":2408,"base":10}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4185,"base":10},"right_expr":{"type":"numeric_atoms","value":4940,"base":10}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3942,"base":10},"right_expr":{"type":"numeric_atoms","value":5838,"base":10}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1374,"base":10},"right_expr":{"type":"numeric_atoms","value":7615,"base":10}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1507,"base":10},"right_expr":{"type":"numeric_atoms","value":7216,"base":10}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2537,"base":10},"right_expr":{"type":"numeric_atoms","value":2315,"base":10}}}}},"used_operators":["rxpJgHHUmx","QMFrweE19q","Ph9nP6C5qx","mp7IySMOzn","NTOWxs364D","oWn0xqSxBt","9HNa5Wba9A","AHs5Up7iyr","XPYlsWDdGa","7j4O788W3g","fu6greOZ01","XhwjNDsVaA"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6741","layer":4},{"info":"number node, value=2408","layer":4},{"info":"compute binary expreesion, left_input=6741, right_input=2408, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4816","layer":3},{"info":"number node, value=4185","layer":4},{"info":"number node, value=4940","layer":4},{"info":"compute binary expreesion, left_input=4185, right_input=4940, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-9246","layer":3},{"info":"compute binary expreesion, left_input=4816, right_input=-9246, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=14062","layer":2},{"info":"number node, value=3942","layer":4},{"info":"number node, value=5838","layer":4},{"info":"compute binary expreesion, left_input=3942, right_input=5838, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=23013396","layer":3},{"info":"compute unary expreesion, input=23013396, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=14062, 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=71091","layer":1},{"info":"number node, value=1374","layer":4},{"info":"number node, value=7615","layer":4},{"info":"compute binary expreesion, left_input=1374, right_input=7615, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=7615","layer":3},{"info":"compute unary expreesion, input=7615, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=15230","layer":2},{"info":"number node, value=1507","layer":4},{"info":"number node, value=7216","layer":4},{"info":"compute binary expreesion, left_input=1507, right_input=7216, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=2537","layer":4},{"info":"number node, value=2315","layer":4},{"info":"compute binary expreesion, left_input=2537, right_input=2315, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=5873155","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5873155, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=15230, 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=71091, 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":10,"result_base":10,"text":"(⊺⇮6741⇷⊺⇮2408≧⫂∧(⊺⇮4185⩚⊴⇥⊺⇮4940)⫡⨏(⊙↵-(⊺⇮3942*⊺⇮5838)))≭(⪲⇎(⊺⇮1374↺⊺⇮7615))≹⇙⪍((⊺⇮1507/⊺⇮7216)⨐⩸⫘(⊺⇮2537*⊺⇮2315))=NaN","reverse_text":"NaN=(⊺⇮6741⇷⊺⇮2408≧⫂∧(⊺⇮4185⩚⊴⇥⊺⇮4940)⫡⨏(⊙↵-(⊺⇮3942*⊺⇮5838)))≭(⪲⇎(⊺⇮1374↺⊺⇮7615))≹⇙⪍((⊺⇮1507/⊺⇮7216)⨐⩸⫘(⊺⇮2537*⊺⇮2315))","cot":[{"info":"⊺⇮6741⇷⊺⇮2408=⊺⇮4816","layer":3},{"info":"⊺⇮4185⩚⊴⇥⊺⇮4940=⊺⇮-9246","layer":3},{"info":"⊺⇮4816≧⫂∧⊺⇮-9246=⊺⇮14062","layer":2},{"info":"⊺⇮3942*⊺⇮5838=⊺⇮23013396","layer":3},{"info":"⊙↵-⊺⇮23013396=⊺⇮-1","layer":2},{"info":"⊺⇮14062⫡⨏⊺⇮-1=⊺⇮71091","layer":1},{"info":"⊺⇮1374↺⊺⇮7615=⊺⇮7615","layer":3},{"info":"⪲⇎⊺⇮7615=⊺⇮15230","layer":2},{"info":"⊺⇮1507/⊺⇮7216=⊺⇮0","layer":3},{"info":"⊺⇮2537*⊺⇮2315=⊺⇮5873155","layer":3},{"info":"⊺⇮0⨐⩸⫘⊺⇮5873155=NaN","layer":2},{"info":"⊺⇮15230≹⇙⪍NaN=NaN","layer":1},{"info":"⊺⇮71091≭NaN=NaN","layer":0}]}
{"id":530,"expression_no_base_symbol":"↥(($4397$⨽$3372$)⪛($2659$⩚⊴⇥$3196$)⩨(⪝⪂⫅$1166$⨪↰⇹$5320$))","expression":"↥((⊺⇮4397⨽⊺⇮3372)⪛(⊺⇮2659⩚⊴⇥⊺⇮3196)⩨(⪝⪂⫅⊺⇮1166⨪↰⇹⊺⇮5320))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":15741,"operation_count":7,"complexity_ratio":2248.714285714286,"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":4397,"base":10},"right_expr":{"type":"numeric_atoms","value":3372,"base":10}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2659,"base":10},"right_expr":{"type":"numeric_atoms","value":3196,"base":10}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1166,"base":10},"right_expr":{"type":"numeric_atoms","value":5320,"base":10}}}}},"used_operators":["A8NUZmVepG","2DlMacCsIx","uFcxV4UQCh","8HhzD0ZcuI","NTOWxs364D","XTarYq4gQB","tmPS8pqC7x"],"dependent_operators":["k8jYdgA6NY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","8w2t5hMYqp","rJVOvQCfKK"],"result":"⊺⇮6","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4397","layer":4},{"info":"number node, value=3372","layer":4},{"info":"compute binary expreesion, left_input=4397, right_input=3372, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-58009629","layer":3},{"info":"number node, value=2659","layer":4},{"info":"number node, value=3196","layer":4},{"info":"compute binary expreesion, left_input=2659, right_input=3196, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5976","layer":3},{"info":"compute binary expreesion, left_input=-58009629, right_input=-5976, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-597","layer":2},{"info":"number node, value=1166","layer":4},{"info":"number node, value=5320","layer":4},{"info":"compute binary expreesion, left_input=1166, right_input=5320, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1166","layer":3},{"info":"compute unary expreesion, input=1166, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-171402","layer":2},{"info":"compute binary expreesion, left_input=-597, right_input=-171402, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-861","layer":1},{"info":"compute unary expreesion, input=-861, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=6","layer":0}],"base":10,"result_base":10,"text":"↥((⊺⇮4397⨽⊺⇮3372)⪛(⊺⇮2659⩚⊴⇥⊺⇮3196)⩨(⪝⪂⫅⊺⇮1166⨪↰⇹⊺⇮5320))=⊺⇮6","reverse_text":"⊺⇮6=↥((⊺⇮4397⨽⊺⇮3372)⪛(⊺⇮2659⩚⊴⇥⊺⇮3196)⩨(⪝⪂⫅⊺⇮1166⨪↰⇹⊺⇮5320))","cot":[{"info":"⊺⇮4397⨽⊺⇮3372=⊺⇮-58009629","layer":3},{"info":"⊺⇮2659⩚⊴⇥⊺⇮3196=⊺⇮-5976","layer":3},{"info":"⊺⇮-58009629⪛⊺⇮-5976=⊺⇮-597","layer":2},{"info":"⊺⇮1166⨪↰⇹⊺⇮5320=⊺⇮1166","layer":3},{"info":"⪝⪂⫅⊺⇮1166=⊺⇮-171402","layer":2},{"info":"⊺⇮-597⩨⊺⇮-171402=⊺⇮-861","layer":1},{"info":"↥⊺⇮-861=⊺⇮6","layer":0}]}
{"id":531,"expression_no_base_symbol":"(⊄⩳↩($3540$≧⫂∧$1757$)⪛($3135$⩷∴$5169$))⨐⩸⫘(($1931$≹⇙⪍$2594$⫩⊇)∧)","expression":"(⊄⩳↩(⊺⇮3540≧⫂∧⊺⇮1757)⪛(⊺⇮3135⩷∴⊺⇮5169))⨐⩸⫘((⊺⇮1931≹⇙⪍⊺⇮2594⫩⊇)∧)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":26,"operation_count":8,"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":3540,"base":10},"right_expr":{"type":"numeric_atoms","value":1757,"base":10}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3135,"base":10},"right_expr":{"type":"numeric_atoms","value":5169,"base":10}}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1931,"base":10},"right_expr":{"type":"numeric_atoms","value":2594,"base":10}}}}},"used_operators":["fu6greOZ01","8w2t5hMYqp","uFcxV4UQCh","Ph9nP6C5qx","9FxExcQeMw","z63VuFQld9","BjRHVeLaeN","AHs5Up7iyr"],"dependent_operators":["3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3540","layer":4},{"info":"number node, value=1757","layer":4},{"info":"compute binary expreesion, left_input=3540, right_input=1757, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1284","layer":3},{"info":"number node, value=3135","layer":4},{"info":"number node, value=5169","layer":4},{"info":"compute binary expreesion, left_input=3135, right_input=5169, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-4100","layer":3},{"info":"compute binary expreesion, left_input=1284, right_input=-4100, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-2816","layer":2},{"info":"compute unary expreesion, input=-2816, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=8448","layer":1},{"info":"number node, value=1931","layer":4},{"info":"number node, value=2594","layer":4},{"info":"compute binary expreesion, left_input=1931, right_input=2594, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":2},{"info":"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=8448, 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":10,"result_base":10,"text":"(⊄⩳↩(⊺⇮3540≧⫂∧⊺⇮1757)⪛(⊺⇮3135⩷∴⊺⇮5169))⨐⩸⫘((⊺⇮1931≹⇙⪍⊺⇮2594⫩⊇)∧)=NaN","reverse_text":"NaN=(⊄⩳↩(⊺⇮3540≧⫂∧⊺⇮1757)⪛(⊺⇮3135⩷∴⊺⇮5169))⨐⩸⫘((⊺⇮1931≹⇙⪍⊺⇮2594⫩⊇)∧)","cot":[{"info":"⊺⇮3540≧⫂∧⊺⇮1757=⊺⇮1284","layer":3},{"info":"⊺⇮3135⩷∴⊺⇮5169=⊺⇮-4100","layer":3},{"info":"⊺⇮1284⪛⊺⇮-4100=⊺⇮-2816","layer":2},{"info":"⊄⩳↩⊺⇮-2816=⊺⇮8448","layer":1},{"info":"⊺⇮1931≹⇙⪍⊺⇮2594=NaN","layer":3},{"info":"NaN⫩⊇=NaN","layer":2},{"info":"NaN∧=NaN","layer":1},{"info":"⊺⇮8448⨐⩸⫘NaN=NaN","layer":0}]}
{"id":532,"expression_no_base_symbol":"(⪲⇎(($3256$↛⩡⫤)⫩⊇))⋷($1450$⨳⩥⨓$6877$↙(⨈⫕$1043$))⨓(($7881$⪠⩆⊳)⋳⪒(≉$1945$))","expression":"(⪲⇎((⊺⇮3256↛⩡⫤)⫩⊇))⋷(⊺⇮1450⨳⩥⨓⊺⇮6877↙(⨈⫕⊺⇮1043))⨓((⊺⇮7881⪠⩆⊳)⋳⪒(≉⊺⇮1945))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":13106,"operation_count":11,"complexity_ratio":1191.4545454545455,"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":3256,"base":10}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1450,"base":10},"right_expr":{"type":"numeric_atoms","value":6877,"base":10}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1043,"base":10}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":7881,"base":10}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1945,"base":10}}}}},"used_operators":["23Mk6UjR3U","XPYlsWDdGa","BjRHVeLaeN","FU0Cs4j7VP","3ViojmjbAp","yyfyN0ffXY","nCS4ZIUYfx","megm06wKyl","12rbrZMWeM","JLbD19bQDL","e1ybzncUwg"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮-981106","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3256","layer":4},{"info":"compute unary expreesion, input=3256, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-487745","layer":3},{"info":"compute unary expreesion, input=-487745, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=487787","layer":2},{"info":"compute unary expreesion, input=487787, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=975574","layer":1},{"info":"number node, value=1450","layer":4},{"info":"number node, value=6877","layer":4},{"info":"compute binary expreesion, left_input=1450, right_input=6877, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=5427","layer":3},{"info":"number node, value=1043","layer":4},{"info":"compute unary expreesion, input=1043, 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=5427, right_input=-21, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-63","layer":2},{"info":"number node, value=7881","layer":4},{"info":"compute unary expreesion, input=7881, 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=1945","layer":4},{"info":"compute unary expreesion, input=1945, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2476","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2476, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-2763","layer":2},{"info":"compute binary expreesion, left_input=-63, right_input=-2763, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2766","layer":1},{"info":"compute binary expreesion, left_input=975574, right_input=-2766, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-981106","layer":0}],"base":10,"result_base":10,"text":"(⪲⇎((⊺⇮3256↛⩡⫤)⫩⊇))⋷(⊺⇮1450⨳⩥⨓⊺⇮6877↙(⨈⫕⊺⇮1043))⨓((⊺⇮7881⪠⩆⊳)⋳⪒(≉⊺⇮1945))=⊺⇮-981106","reverse_text":"⊺⇮-981106=(⪲⇎((⊺⇮3256↛⩡⫤)⫩⊇))⋷(⊺⇮1450⨳⩥⨓⊺⇮6877↙(⨈⫕⊺⇮1043))⨓((⊺⇮7881⪠⩆⊳)⋳⪒(≉⊺⇮1945))","cot":[{"info":"⊺⇮3256↛⩡⫤=⊺⇮-487745","layer":3},{"info":"⊺⇮-487745⫩⊇=⊺⇮487787","layer":2},{"info":"⪲⇎⊺⇮487787=⊺⇮975574","layer":1},{"info":"⊺⇮1450⨳⩥⨓⊺⇮6877=⊺⇮5427","layer":3},{"info":"⨈⫕⊺⇮1043=⊺⇮-21","layer":3},{"info":"⊺⇮5427↙⊺⇮-21=⊺⇮-63","layer":2},{"info":"⊺⇮7881⪠⩆⊳=⊺⇮0","layer":3},{"info":"≉⊺⇮1945=⊺⇮2476","layer":3},{"info":"⊺⇮0⋳⪒⊺⇮2476=⊺⇮-2763","layer":2},{"info":"⊺⇮-63⨓⊺⇮-2763=⊺⇮-2766","layer":1},{"info":"⊺⇮975574⋷⊺⇮-2766=⊺⇮-981106","layer":0}]}
{"id":533,"expression_no_base_symbol":"(($4327$⨟⋌⩍$3858$⫌⩹⨱)↙($4926$⇼⇔∾$1086$)⩚⊴⇥$1310$⨪↰⇹$2504$)⫥∨⫟(↥($1139$⊭↱$3218$⪒$1077$∀⇚≩$3189$))","expression":"((⊺⇮4327⨟⋌⩍⊺⇮3858⫌⩹⨱)↙(⊺⇮4926⇼⇔∾⊺⇮1086)⩚⊴⇥⊺⇮1310⨪↰⇹⊺⇮2504)⫥∨⫟(↥(⊺⇮1139⊭↱⊺⇮3218⪒⊺⇮1077∀⇚≩⊺⇮3189))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":9027,"operation_count":11,"complexity_ratio":820.6363636363636,"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":4327,"base":10},"right_expr":{"type":"numeric_atoms","value":3858,"base":10}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":4926,"base":10},"right_expr":{"type":"numeric_atoms","value":1086,"base":10}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1310,"base":10},"right_expr":{"type":"numeric_atoms","value":2504,"base":10}}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1139,"base":10},"right_expr":{"type":"numeric_atoms","value":3218,"base":10}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1077,"base":10},"right_expr":{"type":"numeric_atoms","value":3189,"base":10}}}}},"used_operators":["KYD54nUTWz","yyfyN0ffXY","EBcxylXtPf","rGHVDoGpnC","NTOWxs364D","tifHPKVTfV","tmPS8pqC7x","A8NUZmVepG","f6k1SAg4EE","COABgblf1C","LRNGc0VcxI"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4327","layer":4},{"info":"number node, value=3858","layer":4},{"info":"compute binary expreesion, left_input=4327, right_input=3858, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=nan","layer":2},{"info":"number node, value=4926","layer":4},{"info":"number node, value=1086","layer":4},{"info":"compute binary expreesion, left_input=4926, right_input=1086, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-3840","layer":3},{"info":"number node, value=1310","layer":4},{"info":"number node, value=2504","layer":4},{"info":"compute binary expreesion, left_input=1310, right_input=2504, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1310","layer":3},{"info":"compute binary expreesion, left_input=-3840, right_input=1310, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=2409","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2409, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":1},{"info":"number node, value=1139","layer":4},{"info":"number node, value=3218","layer":4},{"info":"compute binary expreesion, left_input=1139, right_input=3218, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=4163","layer":3},{"info":"number node, value=1077","layer":4},{"info":"number node, value=3189","layer":4},{"info":"compute binary expreesion, left_input=1077, right_input=3189, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=4163, 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 = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', 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":10,"result_base":10,"text":"((⊺⇮4327⨟⋌⩍⊺⇮3858⫌⩹⨱)↙(⊺⇮4926⇼⇔∾⊺⇮1086)⩚⊴⇥⊺⇮1310⨪↰⇹⊺⇮2504)⫥∨⫟(↥(⊺⇮1139⊭↱⊺⇮3218⪒⊺⇮1077∀⇚≩⊺⇮3189))=NaN","reverse_text":"NaN=((⊺⇮4327⨟⋌⩍⊺⇮3858⫌⩹⨱)↙(⊺⇮4926⇼⇔∾⊺⇮1086)⩚⊴⇥⊺⇮1310⨪↰⇹⊺⇮2504)⫥∨⫟(↥(⊺⇮1139⊭↱⊺⇮3218⪒⊺⇮1077∀⇚≩⊺⇮3189))","cot":[{"info":"⊺⇮4327⨟⋌⩍⊺⇮3858=NaN","layer":3},{"info":"NaN⫌⩹⨱=NaN","layer":2},{"info":"⊺⇮4926⇼⇔∾⊺⇮1086=⊺⇮-3840","layer":3},{"info":"⊺⇮1310⨪↰⇹⊺⇮2504=⊺⇮1310","layer":3},{"info":"⊺⇮-3840⩚⊴⇥⊺⇮1310=⊺⇮2409","layer":2},{"info":"NaN↙⊺⇮2409=NaN","layer":1},{"info":"⊺⇮1139⊭↱⊺⇮3218=⊺⇮4163","layer":3},{"info":"⊺⇮1077∀⇚≩⊺⇮3189=NaN","layer":3},{"info":"⊺⇮4163⪒NaN=NaN","layer":2},{"info":"↥NaN=NaN","layer":1},{"info":"NaN⫥∨⫟NaN=NaN","layer":0}]}
{"id":534,"expression_no_base_symbol":"⇁⨣⪵($4550$≭$1230$⨐⩸⫘($6353$∲⫓$1408$))⨽(↥($2177$↙$2919$))","expression":"⇁⨣⪵(⊺⇮4550≭⊺⇮1230⨐⩸⫘(⊺⇮6353∲⫓⊺⇮1408))⨽(↥(⊺⇮2177↙⊺⇮2919))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3108,"operation_count":7,"complexity_ratio":444.0,"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":4550,"base":10},"right_expr":{"type":"numeric_atoms","value":1230,"base":10}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":6353,"base":10},"right_expr":{"type":"numeric_atoms","value":1408,"base":10}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2177,"base":10},"right_expr":{"type":"numeric_atoms","value":2919,"base":10}}}}},"used_operators":["inkyxCbjAn","8HhzD0ZcuI","fu6greOZ01","rxpJgHHUmx","i8ToyICDmI","A8NUZmVepG","yyfyN0ffXY"],"dependent_operators":["B5M0gjZbta","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","3ViojmjbAp","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4550","layer":4},{"info":"number node, value=1230","layer":4},{"info":"compute binary expreesion, left_input=4550, right_input=1230, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=6353","layer":4},{"info":"number node, value=1408","layer":4},{"info":"compute binary expreesion, left_input=6353, right_input=1408, 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 = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=2177","layer":4},{"info":"number node, value=2919","layer":4},{"info":"compute binary expreesion, left_input=2177, right_input=2919, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-8757","layer":3},{"info":"compute unary expreesion, input=-8757, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=15","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=15, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⇁⨣⪵(⊺⇮4550≭⊺⇮1230⨐⩸⫘(⊺⇮6353∲⫓⊺⇮1408))⨽(↥(⊺⇮2177↙⊺⇮2919))=NaN","reverse_text":"NaN=⇁⨣⪵(⊺⇮4550≭⊺⇮1230⨐⩸⫘(⊺⇮6353∲⫓⊺⇮1408))⨽(↥(⊺⇮2177↙⊺⇮2919))","cot":[{"info":"⊺⇮4550≭⊺⇮1230=NaN","layer":3},{"info":"⊺⇮6353∲⫓⊺⇮1408=⊺⇮0","layer":3},{"info":"NaN⨐⩸⫘⊺⇮0=NaN","layer":2},{"info":"⊺⇮2177↙⊺⇮2919=⊺⇮-8757","layer":3},{"info":"↥⊺⇮-8757=⊺⇮15","layer":2},{"info":"NaN⨽⊺⇮15=NaN","layer":1},{"info":"⇁⨣⪵NaN=NaN","layer":0}]}
{"id":535,"expression_no_base_symbol":"(((⨑⩽⪐$3111$)∸)⨐⩸⫘(($4771$⇋≉)⫌⩹⨱))⊘","expression":"(((⨑⩽⪐⊺⇮3111)∸)⨐⩸⫘((⊺⇮4771⇋≉)⫌⩹⨱))⊘","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":213,"operation_count":6,"complexity_ratio":35.5,"tree":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":3111,"base":10}}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":4771,"base":10}}}}},"used_operators":["gu96TGCTMs","fu6greOZ01","o20kRiQErp","AF7qkfDlqP","EBcxylXtPf","XIabStNQrY"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","3ViojmjbAp","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3111","layer":4},{"info":"compute unary expreesion, input=3111, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2838","layer":3},{"info":"compute unary expreesion, input=-2838, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"number node, value=4771","layer":4},{"info":"compute unary expreesion, input=4771, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=9444","layer":3},{"info":"compute unary expreesion, input=9444, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=20289","layer":2},{"info":"compute binary expreesion, left_input=177, right_input=20289, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = 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":10,"result_base":10,"text":"(((⨑⩽⪐⊺⇮3111)∸)⨐⩸⫘((⊺⇮4771⇋≉)⫌⩹⨱))⊘=NaN","reverse_text":"NaN=(((⨑⩽⪐⊺⇮3111)∸)⨐⩸⫘((⊺⇮4771⇋≉)⫌⩹⨱))⊘","cot":[{"info":"⨑⩽⪐⊺⇮3111=⊺⇮-2838","layer":3},{"info":"⊺⇮-2838∸=⊺⇮177","layer":2},{"info":"⊺⇮4771⇋≉=⊺⇮9444","layer":3},{"info":"⊺⇮9444⫌⩹⨱=⊺⇮20289","layer":2},{"info":"⊺⇮177⨐⩸⫘⊺⇮20289=NaN","layer":1},{"info":"NaN⊘=NaN","layer":0}]}
{"id":536,"expression_no_base_symbol":"(($1179$⨓$1030$⊉≛↸($3593$⊭↱$2337$))⨰($1614$∀⇚≩$2015$)⨪↰⇹($3880$⨳⩥⨓$7792$))∀⇚≩(⪝⪂⫅($1335$⨵⪆$7486$+$4731$⩷∴$3932$))","expression":"((⊺⇮1179⨓⊺⇮1030⊉≛↸(⊺⇮3593⊭↱⊺⇮2337))⨰(⊺⇮1614∀⇚≩⊺⇮2015)⨪↰⇹(⊺⇮3880⨳⩥⨓⊺⇮7792))∀⇚≩(⪝⪂⫅(⊺⇮1335⨵⪆⊺⇮7486+⊺⇮4731⩷∴⊺⇮3932))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":12513,"operation_count":12,"complexity_ratio":1042.75,"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":1179,"base":10},"right_expr":{"type":"numeric_atoms","value":1030,"base":10}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3593,"base":10},"right_expr":{"type":"numeric_atoms","value":2337,"base":10}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1614,"base":10},"right_expr":{"type":"numeric_atoms","value":2015,"base":10}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3880,"base":10},"right_expr":{"type":"numeric_atoms","value":7792,"base":10}}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1335,"base":10},"right_expr":{"type":"numeric_atoms","value":7486,"base":10}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4731,"base":10},"right_expr":{"type":"numeric_atoms","value":3932,"base":10}}}}},"used_operators":["LRNGc0VcxI","eewbuw0ToL","DZ8iAZOCBD","3ViojmjbAp","COABgblf1C","tmPS8pqC7x","nCS4ZIUYfx","XTarYq4gQB","W4YGzv6Whe","2DQ55sFlQl","9FxExcQeMw"],"dependent_operators":["X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1179","layer":4},{"info":"number node, value=1030","layer":4},{"info":"compute binary expreesion, left_input=1179, right_input=1030, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1033","layer":3},{"info":"number node, value=3593","layer":4},{"info":"number node, value=2337","layer":4},{"info":"compute binary expreesion, left_input=3593, right_input=2337, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-2507","layer":3},{"info":"compute binary expreesion, left_input=-1033, right_input=-2507, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2507","layer":2},{"info":"number node, value=1614","layer":4},{"info":"number node, value=2015","layer":4},{"info":"compute binary expreesion, left_input=1614, right_input=2015, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=3880","layer":4},{"info":"number node, value=7792","layer":4},{"info":"compute binary expreesion, left_input=3880, right_input=7792, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=3912","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3912, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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=2507, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"number node, value=1335","layer":4},{"info":"number node, value=7486","layer":4},{"info":"compute binary expreesion, left_input=1335, right_input=7486, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=4731","layer":4},{"info":"number node, value=3932","layer":4},{"info":"compute binary expreesion, left_input=4731, right_input=3932, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1566","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=1566, op_id = W4YGzv6Whe binary_op_definition= 'None', output=1726","layer":2},{"info":"compute unary expreesion, input=1726, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-253722","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-253722, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":10,"result_base":10,"text":"((⊺⇮1179⨓⊺⇮1030⊉≛↸(⊺⇮3593⊭↱⊺⇮2337))⨰(⊺⇮1614∀⇚≩⊺⇮2015)⨪↰⇹(⊺⇮3880⨳⩥⨓⊺⇮7792))∀⇚≩(⪝⪂⫅(⊺⇮1335⨵⪆⊺⇮7486+⊺⇮4731⩷∴⊺⇮3932))=NaN","reverse_text":"NaN=((⊺⇮1179⨓⊺⇮1030⊉≛↸(⊺⇮3593⊭↱⊺⇮2337))⨰(⊺⇮1614∀⇚≩⊺⇮2015)⨪↰⇹(⊺⇮3880⨳⩥⨓⊺⇮7792))∀⇚≩(⪝⪂⫅(⊺⇮1335⨵⪆⊺⇮7486+⊺⇮4731⩷∴⊺⇮3932))","cot":[{"info":"⊺⇮1179⨓⊺⇮1030=⊺⇮-1033","layer":3},{"info":"⊺⇮3593⊭↱⊺⇮2337=⊺⇮-2507","layer":3},{"info":"⊺⇮-1033⊉≛↸⊺⇮-2507=⊺⇮2507","layer":2},{"info":"⊺⇮1614∀⇚≩⊺⇮2015=NaN","layer":3},{"info":"⊺⇮3880⨳⩥⨓⊺⇮7792=⊺⇮3912","layer":3},{"info":"NaN⨪↰⇹⊺⇮3912=NaN","layer":2},{"info":"⊺⇮2507⨰NaN=NaN","layer":1},{"info":"⊺⇮1335⨵⪆⊺⇮7486=⊺⇮160","layer":3},{"info":"⊺⇮4731⩷∴⊺⇮3932=⊺⇮1566","layer":3},{"info":"⊺⇮160+⊺⇮1566=⊺⇮1726","layer":2},{"info":"⪝⪂⫅⊺⇮1726=⊺⇮-253722","layer":1},{"info":"NaN∀⇚≩⊺⇮-253722=NaN","layer":0}]}
{"id":537,"expression_no_base_symbol":"(↩(⊥$1457$))⋳⪒$1128$⪛$1304$≭$5740$∑⇟⊟$3120$↙((∂($2406$⨽$1546$))↺($1218$⪛$1274$)⊴($4561$⪨≂$1891$))","expression":"(↩(⊥⊺⇮1457))⋳⪒⊺⇮1128⪛⊺⇮1304≭⊺⇮5740∑⇟⊟⊺⇮3120↙((∂(⊺⇮2406⨽⊺⇮1546))↺(⊺⇮1218⪛⊺⇮1274)⊴(⊺⇮4561⪨≂⊺⇮1891))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":8325,"operation_count":13,"complexity_ratio":640.3846153846154,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1457,"base":10}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1128,"base":10},"right_expr":{"type":"numeric_atoms","value":1304,"base":10}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":5740,"base":10},"right_expr":{"type":"numeric_atoms","value":3120,"base":10}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2406,"base":10},"right_expr":{"type":"numeric_atoms","value":1546,"base":10}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1218,"base":10},"right_expr":{"type":"numeric_atoms","value":1274,"base":10}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4561,"base":10},"right_expr":{"type":"numeric_atoms","value":1891,"base":10}}}}},"used_operators":["yyfyN0ffXY","12rbrZMWeM","jLgFTUHLKL","Q3PJZHRvZv","rxpJgHHUmx","uFcxV4UQCh","U7g4x0WXJJ","7j4O788W3g","Uaa54Peajs","8HhzD0ZcuI","Nsiff2A1zJ","sdazOOVcIp"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","fu6greOZ01","AHs5Up7iyr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1457","layer":4},{"info":"compute unary expreesion, input=1457, 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=1128","layer":4},{"info":"number node, value=1304","layer":4},{"info":"compute binary expreesion, left_input=1128, right_input=1304, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1128","layer":3},{"info":"number node, value=5740","layer":4},{"info":"number node, value=3120","layer":4},{"info":"compute binary expreesion, left_input=5740, right_input=3120, 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=1128, 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 = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"number node, value=2406","layer":4},{"info":"number node, value=1546","layer":4},{"info":"compute binary expreesion, left_input=2406, right_input=1546, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-17369832","layer":3},{"info":"compute unary expreesion, input=-17369832, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=17369568","layer":2},{"info":"number node, value=1218","layer":4},{"info":"number node, value=1274","layer":4},{"info":"compute binary expreesion, left_input=1218, right_input=1274, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1218","layer":3},{"info":"number node, value=4561","layer":4},{"info":"number node, value=1891","layer":4},{"info":"compute binary expreesion, left_input=4561, right_input=1891, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=5442","layer":3},{"info":"compute binary expreesion, left_input=1218, right_input=5442, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=17369568, 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":10,"result_base":10,"text":"(↩(⊥⊺⇮1457))⋳⪒⊺⇮1128⪛⊺⇮1304≭⊺⇮5740∑⇟⊟⊺⇮3120↙((∂(⊺⇮2406⨽⊺⇮1546))↺(⊺⇮1218⪛⊺⇮1274)⊴(⊺⇮4561⪨≂⊺⇮1891))=NaN","reverse_text":"NaN=(↩(⊥⊺⇮1457))⋳⪒⊺⇮1128⪛⊺⇮1304≭⊺⇮5740∑⇟⊟⊺⇮3120↙((∂(⊺⇮2406⨽⊺⇮1546))↺(⊺⇮1218⪛⊺⇮1274)⊴(⊺⇮4561⪨≂⊺⇮1891))","cot":[{"info":"⊥⊺⇮1457=NaN","layer":3},{"info":"↩NaN=NaN","layer":2},{"info":"⊺⇮1128⪛⊺⇮1304=⊺⇮1128","layer":3},{"info":"⊺⇮5740∑⇟⊟⊺⇮3120=NaN","layer":3},{"info":"⊺⇮1128≭NaN=NaN","layer":2},{"info":"NaN⋳⪒NaN=NaN","layer":1},{"info":"⊺⇮2406⨽⊺⇮1546=⊺⇮-17369832","layer":3},{"info":"∂⊺⇮-17369832=⊺⇮17369568","layer":2},{"info":"⊺⇮1218⪛⊺⇮1274=⊺⇮1218","layer":3},{"info":"⊺⇮4561⪨≂⊺⇮1891=⊺⇮5442","layer":3},{"info":"⊺⇮1218⊴⊺⇮5442=NaN","layer":2},{"info":"⊺⇮17369568↺NaN=NaN","layer":1},{"info":"NaN↙NaN=NaN","layer":0}]}
{"id":538,"expression_no_base_symbol":"(≤/(↯⪼($3983$⋥≓≎$8815$)))≧⫂∧(($6502$⫥∨⫟$5089$⪄(⨰⫟⨤$9357$))⊘)","expression":"(≤/(↯⪼(⊺⇮3983⋥≓≎⊺⇮8815)))≧⫂∧((⊺⇮6502⫥∨⫟⊺⇮5089⪄(⨰⫟⨤⊺⇮9357))⊘)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":36819,"operation_count":8,"complexity_ratio":4602.375,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3983,"base":10},"right_expr":{"type":"numeric_atoms","value":8815,"base":10}}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":6502,"base":10},"right_expr":{"type":"numeric_atoms","value":5089,"base":10}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":9357,"base":10}}}}},"used_operators":["Ph9nP6C5qx","eLAdDNolq6","8jW3W4yZS5","Qy55tPpLXF","gu96TGCTMs","SUmda5xLS4","KYD54nUTWz","Tw270M8GLb"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","8HhzD0ZcuI","rGHVDoGpnC","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"⊺⇮-473","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3983","layer":4},{"info":"number node, value=8815","layer":4},{"info":"compute binary expreesion, left_input=3983, right_input=8815, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=13680","layer":3},{"info":"compute unary expreesion, input=13680, 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 = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=505","layer":1},{"info":"number node, value=6502","layer":4},{"info":"number node, value=5089","layer":4},{"info":"compute binary expreesion, left_input=6502, right_input=5089, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=9357","layer":4},{"info":"compute unary expreesion, input=9357, 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 = 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 binary expreesion, left_input=505, right_input=0, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-473","layer":0}],"base":10,"result_base":10,"text":"(≤/(↯⪼(⊺⇮3983⋥≓≎⊺⇮8815)))≧⫂∧((⊺⇮6502⫥∨⫟⊺⇮5089⪄(⨰⫟⨤⊺⇮9357))⊘)=⊺⇮-473","reverse_text":"⊺⇮-473=(≤/(↯⪼(⊺⇮3983⋥≓≎⊺⇮8815)))≧⫂∧((⊺⇮6502⫥∨⫟⊺⇮5089⪄(⨰⫟⨤⊺⇮9357))⊘)","cot":[{"info":"⊺⇮3983⋥≓≎⊺⇮8815=⊺⇮13680","layer":3},{"info":"↯⪼⊺⇮13680=⊺⇮-21","layer":2},{"info":"≤/⊺⇮-21=⊺⇮505","layer":1},{"info":"⊺⇮6502⫥∨⫟⊺⇮5089=NaN","layer":3},{"info":"⨰⫟⨤⊺⇮9357=NaN","layer":3},{"info":"NaN⪄NaN=⊺⇮3979","layer":2},{"info":"⊺⇮3979⊘=⊺⇮0","layer":1},{"info":"⊺⇮505≧⫂∧⊺⇮0=⊺⇮-473","layer":0}]}
{"id":539,"expression_no_base_symbol":"(($3133$⋳⪒$1043$)⩷∴(+⊝⨔$6475$)+⇶⊼($1465$⨎$2522$⇼⇔∾(⇁⨣⪵$1009$)))⪛($3244$⨸⪁$4904$⊉≛↸(⨵≀≌$7652$))≹⇙⪍(⪲⇎($1483$⇼⇔∾$1613$))","expression":"((⊺⇮3133⋳⪒⊺⇮1043)⩷∴(+⊝⨔⊺⇮6475)+⇶⊼(⊺⇮1465⨎⊺⇮2522⇼⇔∾(⇁⨣⪵⊺⇮1009)))⪛(⊺⇮3244⨸⪁⊺⇮4904⊉≛↸(⨵≀≌⊺⇮7652))≹⇙⪍(⪲⇎(⊺⇮1483⇼⇔∾⊺⇮1613))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":69508,"operation_count":14,"complexity_ratio":4964.857142857143,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3133,"base":10},"right_expr":{"type":"numeric_atoms","value":1043,"base":10}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":6475,"base":10}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1465,"base":10},"right_expr":{"type":"numeric_atoms","value":2522,"base":10}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1009,"base":10}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3244,"base":10},"right_expr":{"type":"numeric_atoms","value":4904,"base":10}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":7652,"base":10}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1483,"base":10},"right_expr":{"type":"numeric_atoms","value":1613,"base":10}}}}},"used_operators":["uFcxV4UQCh","TpPTUOHfaN","9FxExcQeMw","12rbrZMWeM","DhbWaqg5eL","tifHPKVTfV","rJVOvQCfKK","inkyxCbjAn","AHs5Up7iyr","DZ8iAZOCBD","g55IO6H4Gj","srAu1WTS94","XPYlsWDdGa"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","AHs5Up7iyr","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","B5M0gjZbta","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3133","layer":4},{"info":"number node, value=1043","layer":4},{"info":"compute binary expreesion, left_input=3133, right_input=1043, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=4936","layer":3},{"info":"number node, value=6475","layer":4},{"info":"compute unary expreesion, input=6475, 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=4936, right_input=1522, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=6796","layer":2},{"info":"number node, value=1465","layer":4},{"info":"number node, value=2522","layer":4},{"info":"compute binary expreesion, left_input=1465, right_input=2522, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2522","layer":3},{"info":"number node, value=1009","layer":4},{"info":"compute unary expreesion, input=1009, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2522, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=6796, 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=3244","layer":4},{"info":"number node, value=4904","layer":4},{"info":"compute binary expreesion, left_input=3244, right_input=4904, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=16296","layer":3},{"info":"number node, value=7652","layer":4},{"info":"compute unary expreesion, input=7652, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-22956","layer":3},{"info":"compute binary expreesion, left_input=16296, right_input=-22956, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=32592","layer":2},{"info":"number node, value=1483","layer":4},{"info":"number node, value=1613","layer":4},{"info":"compute binary expreesion, left_input=1483, right_input=1613, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=130","layer":3},{"info":"compute unary expreesion, input=130, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=260","layer":2},{"info":"compute binary expreesion, left_input=32592, right_input=260, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":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":10,"result_base":10,"text":"((⊺⇮3133⋳⪒⊺⇮1043)⩷∴(+⊝⨔⊺⇮6475)+⇶⊼(⊺⇮1465⨎⊺⇮2522⇼⇔∾(⇁⨣⪵⊺⇮1009)))⪛(⊺⇮3244⨸⪁⊺⇮4904⊉≛↸(⨵≀≌⊺⇮7652))≹⇙⪍(⪲⇎(⊺⇮1483⇼⇔∾⊺⇮1613))=NaN","reverse_text":"NaN=((⊺⇮3133⋳⪒⊺⇮1043)⩷∴(+⊝⨔⊺⇮6475)+⇶⊼(⊺⇮1465⨎⊺⇮2522⇼⇔∾(⇁⨣⪵⊺⇮1009)))⪛(⊺⇮3244⨸⪁⊺⇮4904⊉≛↸(⨵≀≌⊺⇮7652))≹⇙⪍(⪲⇎(⊺⇮1483⇼⇔∾⊺⇮1613))","cot":[{"info":"⊺⇮3133⋳⪒⊺⇮1043=⊺⇮4936","layer":3},{"info":"+⊝⨔⊺⇮6475=⊺⇮1522","layer":3},{"info":"⊺⇮4936⩷∴⊺⇮1522=⊺⇮6796","layer":2},{"info":"⊺⇮1465⨎⊺⇮2522=⊺⇮2522","layer":3},{"info":"⇁⨣⪵⊺⇮1009=NaN","layer":3},{"info":"⊺⇮2522⇼⇔∾NaN=NaN","layer":2},{"info":"⊺⇮6796+⇶⊼NaN=NaN","layer":1},{"info":"⊺⇮3244⨸⪁⊺⇮4904=⊺⇮16296","layer":3},{"info":"⨵≀≌⊺⇮7652=⊺⇮-22956","layer":3},{"info":"⊺⇮16296⊉≛↸⊺⇮-22956=⊺⇮32592","layer":2},{"info":"⊺⇮1483⇼⇔∾⊺⇮1613=⊺⇮130","layer":3},{"info":"⪲⇎⊺⇮130=⊺⇮260","layer":2},{"info":"⊺⇮32592≹⇙⪍⊺⇮260=NaN","layer":1},{"info":"NaN⪛NaN=NaN","layer":0}]}
{"id":540,"expression_no_base_symbol":"((↩$2891$⨰$1554$)⨐⩸⫘$2444$⨪↰⇹$2769$+⇶⊼($1906$⩠))⋥≓≎(($3084$⨐⩸⫘$4440$)⨎$2497$≭$2531$/(↥$4914$)≭($1252$⨸⪁$1970$))","expression":"((↩⊺⇮2891⨰⊺⇮1554)⨐⩸⫘⊺⇮2444⨪↰⇹⊺⇮2769+⇶⊼(⊺⇮1906⩠))⋥≓≎((⊺⇮3084⨐⩸⫘⊺⇮4440)⨎⊺⇮2497≭⊺⇮2531/(↥⊺⇮4914)≭(⊺⇮1252⨸⪁⊺⇮1970))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2592,"operation_count":14,"complexity_ratio":185.14285714285714,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2891,"base":10},"right_expr":{"type":"numeric_atoms","value":1554,"base":10}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2444,"base":10},"right_expr":{"type":"numeric_atoms","value":2769,"base":10}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1906,"base":10}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3084,"base":10},"right_expr":{"type":"numeric_atoms","value":4440,"base":10}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2497,"base":10},"right_expr":{"type":"numeric_atoms","value":2531,"base":10}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":4914,"base":10}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1252,"base":10},"right_expr":{"type":"numeric_atoms","value":1970,"base":10}}}}},"used_operators":["Qy55tPpLXF","fu6greOZ01","jLgFTUHLKL","eewbuw0ToL","TpPTUOHfaN","tmPS8pqC7x","sJAwomhLZr","XhwjNDsVaA","rJVOvQCfKK","rxpJgHHUmx","A8NUZmVepG","g55IO6H4Gj"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rJVOvQCfKK","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","k8jYdgA6NY","W4YGzv6Whe"],"result":"⊺⇮67","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2891","layer":4},{"info":"number node, value=1554","layer":4},{"info":"compute binary expreesion, left_input=2891, right_input=1554, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1347","layer":3},{"info":"compute unary expreesion, input=1347, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-7996","layer":2},{"info":"number node, value=2444","layer":4},{"info":"number node, value=2769","layer":4},{"info":"compute binary expreesion, left_input=2444, right_input=2769, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2444","layer":3},{"info":"number node, value=1906","layer":4},{"info":"compute unary expreesion, input=1906, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2444, right_input=0, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=0","layer":2},{"info":"compute binary expreesion, left_input=-7996, 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=-7996","layer":1},{"info":"number node, value=3084","layer":4},{"info":"number node, value=4440","layer":4},{"info":"compute binary expreesion, left_input=3084, right_input=4440, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=2497","layer":4},{"info":"number node, value=2531","layer":4},{"info":"compute binary expreesion, left_input=2497, right_input=2531, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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 = 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=4914","layer":4},{"info":"compute unary expreesion, input=4914, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=18","layer":3},{"info":"number node, value=1252","layer":4},{"info":"number node, value=1970","layer":4},{"info":"compute binary expreesion, left_input=1252, right_input=1970, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=6444","layer":3},{"info":"compute binary expreesion, left_input=18, right_input=6444, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-7996, 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":10,"result_base":10,"text":"((↩⊺⇮2891⨰⊺⇮1554)⨐⩸⫘⊺⇮2444⨪↰⇹⊺⇮2769+⇶⊼(⊺⇮1906⩠))⋥≓≎((⊺⇮3084⨐⩸⫘⊺⇮4440)⨎⊺⇮2497≭⊺⇮2531/(↥⊺⇮4914)≭(⊺⇮1252⨸⪁⊺⇮1970))=⊺⇮67","reverse_text":"⊺⇮67=((↩⊺⇮2891⨰⊺⇮1554)⨐⩸⫘⊺⇮2444⨪↰⇹⊺⇮2769+⇶⊼(⊺⇮1906⩠))⋥≓≎((⊺⇮3084⨐⩸⫘⊺⇮4440)⨎⊺⇮2497≭⊺⇮2531/(↥⊺⇮4914)≭(⊺⇮1252⨸⪁⊺⇮1970))","cot":[{"info":"⊺⇮2891⨰⊺⇮1554=⊺⇮1347","layer":3},{"info":"↩⊺⇮1347=⊺⇮-7996","layer":2},{"info":"⊺⇮2444⨪↰⇹⊺⇮2769=⊺⇮2444","layer":3},{"info":"⊺⇮1906⩠=⊺⇮0","layer":3},{"info":"⊺⇮2444+⇶⊼⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮-7996⨐⩸⫘⊺⇮0=⊺⇮-7996","layer":1},{"info":"⊺⇮3084⨐⩸⫘⊺⇮4440=NaN","layer":3},{"info":"⊺⇮2497≭⊺⇮2531=NaN","layer":3},{"info":"NaN⨎NaN=NaN","layer":2},{"info":"↥⊺⇮4914=⊺⇮18","layer":3},{"info":"⊺⇮1252⨸⪁⊺⇮1970=⊺⇮6444","layer":3},{"info":"⊺⇮18≭⊺⇮6444=NaN","layer":2},{"info":"NaN/NaN=NaN","layer":1},{"info":"⊺⇮-7996⋥≓≎NaN=⊺⇮67","layer":0}]}
{"id":541,"expression_no_base_symbol":"((⪝⪂⫅($2690$⨐⩸⫘$1529$))⩚⊴⇥(⇁⨣⪵$2979$)⋓($1033$⇼⇔∾$1040$))⊴((⫛⫱⨽($5235$⨸⪁$2953$))⋥≓≎(($2613$⋫)⇼⇔∾$1786$⩷∴$1754$))","expression":"((⪝⪂⫅(⊺⇮2690⨐⩸⫘⊺⇮1529))⩚⊴⇥(⇁⨣⪵⊺⇮2979)⋓(⊺⇮1033⇼⇔∾⊺⇮1040))⊴((⫛⫱⨽(⊺⇮5235⨸⪁⊺⇮2953))⋥≓≎((⊺⇮2613⋫)⇼⇔∾⊺⇮1786⩷∴⊺⇮1754))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":9209,"operation_count":13,"complexity_ratio":708.3846153846154,"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":2690,"base":10},"right_expr":{"type":"numeric_atoms","value":1529,"base":10}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2979,"base":10}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1033,"base":10},"right_expr":{"type":"numeric_atoms","value":1040,"base":10}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":5235,"base":10},"right_expr":{"type":"numeric_atoms","value":2953,"base":10}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":2613,"base":10}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1786,"base":10},"right_expr":{"type":"numeric_atoms","value":1754,"base":10}}}}},"used_operators":["Nsiff2A1zJ","NTOWxs364D","XTarYq4gQB","fu6greOZ01","T2fj7uvVaJ","inkyxCbjAn","tifHPKVTfV","Qy55tPpLXF","DlLNRPXxWL","g55IO6H4Gj","JL8yIekQnl","9FxExcQeMw"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","8w2t5hMYqp","3ViojmjbAp","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","tmPS8pqC7x","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2690","layer":4},{"info":"number node, value=1529","layer":4},{"info":"compute binary expreesion, left_input=2690, right_input=1529, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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 = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":2},{"info":"number node, value=2979","layer":4},{"info":"compute unary expreesion, input=2979, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=1033","layer":4},{"info":"number node, value=1040","layer":4},{"info":"compute binary expreesion, left_input=1033, right_input=1040, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=7","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7, op_id = T2fj7uvVaJ binary_op_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 = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"number node, value=5235","layer":4},{"info":"number node, value=2953","layer":4},{"info":"compute binary expreesion, left_input=5235, right_input=2953, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=16376","layer":3},{"info":"compute unary expreesion, input=16376, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"number node, value=2613","layer":4},{"info":"compute unary expreesion, input=2613, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=2613","layer":3},{"info":"number node, value=1786","layer":4},{"info":"number node, value=1754","layer":4},{"info":"compute binary expreesion, left_input=1786, right_input=1754, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=32","layer":3},{"info":"compute binary expreesion, left_input=2613, right_input=32, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-2581","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-2581, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-5129","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-5129, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⪝⪂⫅(⊺⇮2690⨐⩸⫘⊺⇮1529))⩚⊴⇥(⇁⨣⪵⊺⇮2979)⋓(⊺⇮1033⇼⇔∾⊺⇮1040))⊴((⫛⫱⨽(⊺⇮5235⨸⪁⊺⇮2953))⋥≓≎((⊺⇮2613⋫)⇼⇔∾⊺⇮1786⩷∴⊺⇮1754))=NaN","reverse_text":"NaN=((⪝⪂⫅(⊺⇮2690⨐⩸⫘⊺⇮1529))⩚⊴⇥(⇁⨣⪵⊺⇮2979)⋓(⊺⇮1033⇼⇔∾⊺⇮1040))⊴((⫛⫱⨽(⊺⇮5235⨸⪁⊺⇮2953))⋥≓≎((⊺⇮2613⋫)⇼⇔∾⊺⇮1786⩷∴⊺⇮1754))","cot":[{"info":"⊺⇮2690⨐⩸⫘⊺⇮1529=NaN","layer":3},{"info":"⪝⪂⫅NaN=NaN","layer":2},{"info":"⇁⨣⪵⊺⇮2979=NaN","layer":3},{"info":"⊺⇮1033⇼⇔∾⊺⇮1040=⊺⇮7","layer":3},{"info":"NaN⋓⊺⇮7=⊺⇮0","layer":2},{"info":"NaN⩚⊴⇥⊺⇮0=NaN","layer":1},{"info":"⊺⇮5235⨸⪁⊺⇮2953=⊺⇮16376","layer":3},{"info":"⫛⫱⨽⊺⇮16376=⊺⇮0","layer":2},{"info":"⊺⇮2613⋫=⊺⇮2613","layer":3},{"info":"⊺⇮1786⩷∴⊺⇮1754=⊺⇮32","layer":3},{"info":"⊺⇮2613⇼⇔∾⊺⇮32=⊺⇮-2581","layer":2},{"info":"⊺⇮0⋥≓≎⊺⇮-2581=⊺⇮-5129","layer":1},{"info":"NaN⊴⊺⇮-5129=NaN","layer":0}]}
{"id":542,"expression_no_base_symbol":"(≤/$1753$)⪢($1300$⩠)⨓(($1634$⨎$1700$)∑⇟⊟(⪝⪂⫅$1216$))⫸⊐(≉(≉(↩$2035$)))","expression":"(≤/⊺⇮1753)⪢(⊺⇮1300⩠)⨓((⊺⇮1634⨎⊺⇮1700)∑⇟⊟(⪝⪂⫅⊺⇮1216))⫸⊐(≉(≉(↩⊺⇮2035)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":201,"operation_count":11,"complexity_ratio":18.272727272727273,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1753,"base":10}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1300,"base":10}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1634,"base":10},"right_expr":{"type":"numeric_atoms","value":1700,"base":10}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1216,"base":10}}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":2035,"base":10}}}}},"used_operators":["mqXw5SEYmG","3ViojmjbAp","dWAJyo7jo9","eLAdDNolq6","sJAwomhLZr","U7g4x0WXJJ","rJVOvQCfKK","XTarYq4gQB","e1ybzncUwg","jLgFTUHLKL"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","k8jYdgA6NY","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1753","layer":4},{"info":"compute unary expreesion, input=1753, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1269","layer":3},{"info":"number node, value=1300","layer":4},{"info":"compute unary expreesion, input=1300, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-1269, 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":"number node, value=1634","layer":4},{"info":"number node, value=1700","layer":4},{"info":"compute binary expreesion, left_input=1634, right_input=1700, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1700","layer":3},{"info":"number node, value=1216","layer":4},{"info":"compute unary expreesion, input=1216, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-178752","layer":3},{"info":"compute binary expreesion, left_input=1700, right_input=-178752, 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 = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"number node, value=2035","layer":4},{"info":"compute unary expreesion, input=2035, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-13500","layer":3},{"info":"compute unary expreesion, input=-13500, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-13500","layer":2},{"info":"compute unary expreesion, input=-13500, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-13500","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-13500, 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":10,"result_base":10,"text":"(≤/⊺⇮1753)⪢(⊺⇮1300⩠)⨓((⊺⇮1634⨎⊺⇮1700)∑⇟⊟(⪝⪂⫅⊺⇮1216))⫸⊐(≉(≉(↩⊺⇮2035)))=NaN","reverse_text":"NaN=(≤/⊺⇮1753)⪢(⊺⇮1300⩠)⨓((⊺⇮1634⨎⊺⇮1700)∑⇟⊟(⪝⪂⫅⊺⇮1216))⫸⊐(≉(≉(↩⊺⇮2035)))","cot":[{"info":"≤/⊺⇮1753=⊺⇮-1269","layer":3},{"info":"⊺⇮1300⩠=⊺⇮0","layer":3},{"info":"⊺⇮-1269⪢⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮1634⨎⊺⇮1700=⊺⇮1700","layer":3},{"info":"⪝⪂⫅⊺⇮1216=⊺⇮-178752","layer":3},{"info":"⊺⇮1700∑⇟⊟⊺⇮-178752=NaN","layer":2},{"info":"⊺⇮0⨓NaN=NaN","layer":1},{"info":"↩⊺⇮2035=⊺⇮-13500","layer":3},{"info":"≉⊺⇮-13500=⊺⇮-13500","layer":2},{"info":"≉⊺⇮-13500=⊺⇮-13500","layer":1},{"info":"NaN⫸⊐⊺⇮-13500=NaN","layer":0}]}
{"id":543,"expression_no_base_symbol":"($1013$⫡⨏$7345$)∼(↯⪼$1370$)⨓(($2354$⨎$3843$)≦≮≮)⩚⊴⇥((⊙↵-($1288$⪠⩆⊳))⋳⪒($3741$⇷$2667$⊦⊿))","expression":"(⊺⇮1013⫡⨏⊺⇮7345)∼(↯⪼⊺⇮1370)⨓((⊺⇮2354⨎⊺⇮3843)≦≮≮)⩚⊴⇥((⊙↵-(⊺⇮1288⪠⩆⊳))⋳⪒(⊺⇮3741⇷⊺⇮2667⊦⊿))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":64512,"operation_count":12,"complexity_ratio":5376.0,"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":1013,"base":10},"right_expr":{"type":"numeric_atoms","value":7345,"base":10}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1370,"base":10}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2354,"base":10},"right_expr":{"type":"numeric_atoms","value":3843,"base":10}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1288,"base":10}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3741,"base":10},"right_expr":{"type":"numeric_atoms","value":2667,"base":10}}}}},"used_operators":["NTOWxs364D","3ViojmjbAp","DyGG3AbaNP","QMFrweE19q","8jW3W4yZS5","D4vGDi5EA2","rJVOvQCfKK","12rbrZMWeM","oWn0xqSxBt","JLbD19bQDL","14qkJME0vr","mp7IySMOzn"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⊺⇮-4383","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1013","layer":4},{"info":"number node, value=7345","layer":4},{"info":"compute binary expreesion, left_input=1013, right_input=7345, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=20538","layer":3},{"info":"number node, value=1370","layer":4},{"info":"compute unary expreesion, input=1370, 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=20538, 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=2354","layer":4},{"info":"number node, value=3843","layer":4},{"info":"compute binary expreesion, left_input=2354, right_input=3843, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3843","layer":3},{"info":"compute unary expreesion, input=3843, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-11529","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-11529, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-11532","layer":1},{"info":"number node, value=1288","layer":4},{"info":"compute unary expreesion, input=1288, 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 = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":2},{"info":"number node, value=3741","layer":4},{"info":"number node, value=2667","layer":4},{"info":"compute binary expreesion, left_input=3741, right_input=2667, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5334","layer":3},{"info":"compute unary expreesion, input=5334, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-16081","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-16081, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=15794","layer":1},{"info":"compute binary expreesion, left_input=-11532, right_input=15794, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4383","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1013⫡⨏⊺⇮7345)∼(↯⪼⊺⇮1370)⨓((⊺⇮2354⨎⊺⇮3843)≦≮≮)⩚⊴⇥((⊙↵-(⊺⇮1288⪠⩆⊳))⋳⪒(⊺⇮3741⇷⊺⇮2667⊦⊿))=⊺⇮-4383","reverse_text":"⊺⇮-4383=(⊺⇮1013⫡⨏⊺⇮7345)∼(↯⪼⊺⇮1370)⨓((⊺⇮2354⨎⊺⇮3843)≦≮≮)⩚⊴⇥((⊙↵-(⊺⇮1288⪠⩆⊳))⋳⪒(⊺⇮3741⇷⊺⇮2667⊦⊿))","cot":[{"info":"⊺⇮1013⫡⨏⊺⇮7345=⊺⇮20538","layer":3},{"info":"↯⪼⊺⇮1370=⊺⇮-21","layer":3},{"info":"⊺⇮20538∼⊺⇮-21=⊺⇮0","layer":2},{"info":"⊺⇮2354⨎⊺⇮3843=⊺⇮3843","layer":3},{"info":"⊺⇮3843≦≮≮=⊺⇮-11529","layer":2},{"info":"⊺⇮0⨓⊺⇮-11529=⊺⇮-11532","layer":1},{"info":"⊺⇮1288⪠⩆⊳=⊺⇮0","layer":3},{"info":"⊙↵-⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮3741⇷⊺⇮2667=⊺⇮5334","layer":3},{"info":"⊺⇮5334⊦⊿=⊺⇮-16081","layer":2},{"info":"⊺⇮0⋳⪒⊺⇮-16081=⊺⇮15794","layer":1},{"info":"⊺⇮-11532⩚⊴⇥⊺⇮15794=⊺⇮-4383","layer":0}]}
{"id":544,"expression_no_base_symbol":"⨑⩽⪐(⩦⩻⨪$2730$⪛$5637$)∀⇚≩((≤/$1234$)⋓($1758$⪐))","expression":"⨑⩽⪐(⩦⩻⨪⊺⇮2730⪛⊺⇮5637)∀⇚≩((≤/⊺⇮1234)⋓(⊺⇮1758⪐))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":19140,"operation_count":7,"complexity_ratio":2734.285714285714,"tree":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2730,"base":10},"right_expr":{"type":"numeric_atoms","value":5637,"base":10}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1234,"base":10}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1758,"base":10}}}}},"used_operators":["AF7qkfDlqP","LRNGc0VcxI","2td37pGCOC","uFcxV4UQCh","T2fj7uvVaJ","eLAdDNolq6","eH2TOUuTDT"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=2730","layer":4},{"info":"number node, value=5637","layer":4},{"info":"compute binary expreesion, left_input=2730, right_input=5637, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2730","layer":3},{"info":"compute unary expreesion, input=2730, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2730","layer":2},{"info":"number node, value=1234","layer":4},{"info":"compute unary expreesion, input=1234, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-750","layer":3},{"info":"number node, value=1758","layer":4},{"info":"compute unary expreesion, input=1758, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=3516","layer":3},{"info":"compute binary expreesion, left_input=-750, right_input=3516, op_id = T2fj7uvVaJ binary_op_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=2730, right_input=0, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 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":10,"result_base":10,"text":"⨑⩽⪐(⩦⩻⨪⊺⇮2730⪛⊺⇮5637)∀⇚≩((≤/⊺⇮1234)⋓(⊺⇮1758⪐))=NaN","reverse_text":"NaN=⨑⩽⪐(⩦⩻⨪⊺⇮2730⪛⊺⇮5637)∀⇚≩((≤/⊺⇮1234)⋓(⊺⇮1758⪐))","cot":[{"info":"⊺⇮2730⪛⊺⇮5637=⊺⇮2730","layer":3},{"info":"⩦⩻⨪⊺⇮2730=⊺⇮2730","layer":2},{"info":"≤/⊺⇮1234=⊺⇮-750","layer":3},{"info":"⊺⇮1758⪐=⊺⇮3516","layer":3},{"info":"⊺⇮-750⋓⊺⇮3516=⊺⇮0","layer":2},{"info":"⊺⇮2730∀⇚≩⊺⇮0=NaN","layer":1},{"info":"⨑⩽⪐NaN=NaN","layer":0}]}
{"id":545,"expression_no_base_symbol":"⊙↵-((⩦⩻⨪$5457$)⨳⩥⨓$1928$≧⫂∧$1231$↺($1440$/$5831$⨵⪆(∥⊫$6136$)))","expression":"⊙↵-((⩦⩻⨪⊺⇮5457)⨳⩥⨓⊺⇮1928≧⫂∧⊺⇮1231↺(⊺⇮1440/⊺⇮5831⨵⪆(∥⊫⊺⇮6136)))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":201,"operation_count":8,"complexity_ratio":25.125,"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":5457,"base":10}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1928,"base":10},"right_expr":{"type":"numeric_atoms","value":1231,"base":10}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1440,"base":10},"right_expr":{"type":"numeric_atoms","value":5831,"base":10}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":6136,"base":10}}}}},"used_operators":["oWn0xqSxBt","7j4O788W3g","nCS4ZIUYfx","2td37pGCOC","Ph9nP6C5qx","2DQ55sFlQl","XhwjNDsVaA","P8v4zCKN1o"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5457","layer":4},{"info":"compute unary expreesion, input=5457, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=5457","layer":3},{"info":"number node, value=1928","layer":4},{"info":"number node, value=1231","layer":4},{"info":"compute binary expreesion, left_input=1928, right_input=1231, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=758","layer":3},{"info":"compute binary expreesion, left_input=5457, right_input=758, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-4699","layer":2},{"info":"number node, value=1440","layer":4},{"info":"number node, value=5831","layer":4},{"info":"compute binary expreesion, left_input=1440, right_input=5831, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=6136","layer":4},{"info":"compute unary expreesion, input=6136, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=7004","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=7004, 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=-4699, 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":1},{"info":"compute unary expreesion, input=160, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":0}],"base":10,"result_base":10,"text":"⊙↵-((⩦⩻⨪⊺⇮5457)⨳⩥⨓⊺⇮1928≧⫂∧⊺⇮1231↺(⊺⇮1440/⊺⇮5831⨵⪆(∥⊫⊺⇮6136)))=⊺⇮0","reverse_text":"⊺⇮0=⊙↵-((⩦⩻⨪⊺⇮5457)⨳⩥⨓⊺⇮1928≧⫂∧⊺⇮1231↺(⊺⇮1440/⊺⇮5831⨵⪆(∥⊫⊺⇮6136)))","cot":[{"info":"⩦⩻⨪⊺⇮5457=⊺⇮5457","layer":3},{"info":"⊺⇮1928≧⫂∧⊺⇮1231=⊺⇮758","layer":3},{"info":"⊺⇮5457⨳⩥⨓⊺⇮758=⊺⇮-4699","layer":2},{"info":"⊺⇮1440/⊺⇮5831=⊺⇮0","layer":3},{"info":"∥⊫⊺⇮6136=⊺⇮7004","layer":3},{"info":"⊺⇮0⨵⪆⊺⇮7004=⊺⇮160","layer":2},{"info":"⊺⇮-4699↺⊺⇮160=⊺⇮160","layer":1},{"info":"⊙↵-⊺⇮160=⊺⇮0","layer":0}]}
{"id":546,"expression_no_base_symbol":"($3639$≧⫂∧$7835$⫩⊇)∀⇚≩($2066$∧)⪘⫢$6171$⨪↰⇹$2508$⋷($1085$⊭↱$3737$)⨐⩸⫘$2009$⨽$1321$⨸⪁(($3798$+$1734$)⇋≉)","expression":"(⊺⇮3639≧⫂∧⊺⇮7835⫩⊇)∀⇚≩(⊺⇮2066∧)⪘⫢⊺⇮6171⨪↰⇹⊺⇮2508⋷(⊺⇮1085⊭↱⊺⇮3737)⨐⩸⫘⊺⇮2009⨽⊺⇮1321⨸⪁((⊺⇮3798+⊺⇮1734)⇋≉)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":59463,"operation_count":13,"complexity_ratio":4574.076923076923,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3639,"base":10},"right_expr":{"type":"numeric_atoms","value":7835,"base":10}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":2066,"base":10}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":6171,"base":10},"right_expr":{"type":"numeric_atoms","value":2508,"base":10}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1085,"base":10},"right_expr":{"type":"numeric_atoms","value":3737,"base":10}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2009,"base":10},"right_expr":{"type":"numeric_atoms","value":1321,"base":10}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3798,"base":10},"right_expr":{"type":"numeric_atoms","value":1734,"base":10}}}}},"used_operators":["23Mk6UjR3U","LRNGc0VcxI","BjRHVeLaeN","Ph9nP6C5qx","oacrs7FA3X","z63VuFQld9","tmPS8pqC7x","g55IO6H4Gj","fu6greOZ01","COABgblf1C","8HhzD0ZcuI","XIabStNQrY","W4YGzv6Whe"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rJVOvQCfKK","W4YGzv6Whe","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3639","layer":4},{"info":"number node, value=7835","layer":4},{"info":"compute binary expreesion, left_input=3639, right_input=7835, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=7362","layer":3},{"info":"compute unary expreesion, input=7362, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-7320","layer":2},{"info":"number node, value=2066","layer":4},{"info":"compute unary expreesion, input=2066, 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=6171","layer":4},{"info":"number node, value=2508","layer":4},{"info":"compute binary expreesion, left_input=6171, right_input=2508, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=6171","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6171, 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=-7320, 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=1085","layer":4},{"info":"number node, value=3737","layer":4},{"info":"compute binary expreesion, left_input=1085, right_input=3737, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=5309","layer":3},{"info":"number node, value=2009","layer":4},{"info":"number node, value=1321","layer":4},{"info":"compute binary expreesion, left_input=2009, right_input=1321, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-12110892","layer":3},{"info":"compute binary expreesion, left_input=5309, right_input=-12110892, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=3798","layer":4},{"info":"number node, value=1734","layer":4},{"info":"compute binary expreesion, left_input=3798, right_input=1734, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5532","layer":3},{"info":"compute unary expreesion, input=5532, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=10966","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=10966, 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 = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮3639≧⫂∧⊺⇮7835⫩⊇)∀⇚≩(⊺⇮2066∧)⪘⫢⊺⇮6171⨪↰⇹⊺⇮2508⋷(⊺⇮1085⊭↱⊺⇮3737)⨐⩸⫘⊺⇮2009⨽⊺⇮1321⨸⪁((⊺⇮3798+⊺⇮1734)⇋≉)=NaN","reverse_text":"NaN=(⊺⇮3639≧⫂∧⊺⇮7835⫩⊇)∀⇚≩(⊺⇮2066∧)⪘⫢⊺⇮6171⨪↰⇹⊺⇮2508⋷(⊺⇮1085⊭↱⊺⇮3737)⨐⩸⫘⊺⇮2009⨽⊺⇮1321⨸⪁((⊺⇮3798+⊺⇮1734)⇋≉)","cot":[{"info":"⊺⇮3639≧⫂∧⊺⇮7835=⊺⇮7362","layer":3},{"info":"⊺⇮7362⫩⊇=⊺⇮-7320","layer":2},{"info":"⊺⇮2066∧=NaN","layer":3},{"info":"⊺⇮6171⨪↰⇹⊺⇮2508=⊺⇮6171","layer":3},{"info":"NaN⪘⫢⊺⇮6171=NaN","layer":2},{"info":"⊺⇮-7320∀⇚≩NaN=NaN","layer":1},{"info":"⊺⇮1085⊭↱⊺⇮3737=⊺⇮5309","layer":3},{"info":"⊺⇮2009⨽⊺⇮1321=⊺⇮-12110892","layer":3},{"info":"⊺⇮5309⨐⩸⫘⊺⇮-12110892=NaN","layer":2},{"info":"⊺⇮3798+⊺⇮1734=⊺⇮5532","layer":3},{"info":"⊺⇮5532⇋≉=⊺⇮10966","layer":2},{"info":"NaN⨸⪁⊺⇮10966=NaN","layer":1},{"info":"NaN⋷NaN=NaN","layer":0}]}
{"id":547,"expression_no_base_symbol":"(≦∁($1047$⪄$2659$⨵⪆$1786$⨎$4178$))≋⫹","expression":"(≦∁(⊺⇮1047⪄⊺⇮2659⨵⪆⊺⇮1786⨎⊺⇮4178))≋⫹","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":124,"operation_count":5,"complexity_ratio":24.8,"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":1047,"base":10},"right_expr":{"type":"numeric_atoms","value":2659,"base":10}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1786,"base":10},"right_expr":{"type":"numeric_atoms","value":4178,"base":10}}}}},"used_operators":["N41Kp7NANJ","9ICcGScMcE","2DQ55sFlQl","SUmda5xLS4","rJVOvQCfKK"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⊺⇮4480","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1047","layer":4},{"info":"number node, value=2659","layer":4},{"info":"compute binary expreesion, left_input=1047, right_input=2659, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-161681","layer":3},{"info":"number node, value=1786","layer":4},{"info":"number node, value=4178","layer":4},{"info":"compute binary expreesion, left_input=1786, right_input=4178, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4178","layer":3},{"info":"compute binary expreesion, left_input=-161681, right_input=4178, 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 = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-2240","layer":1},{"info":"compute unary expreesion, input=-2240, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=4480","layer":0}],"base":10,"result_base":10,"text":"(≦∁(⊺⇮1047⪄⊺⇮2659⨵⪆⊺⇮1786⨎⊺⇮4178))≋⫹=⊺⇮4480","reverse_text":"⊺⇮4480=(≦∁(⊺⇮1047⪄⊺⇮2659⨵⪆⊺⇮1786⨎⊺⇮4178))≋⫹","cot":[{"info":"⊺⇮1047⪄⊺⇮2659=⊺⇮-161681","layer":3},{"info":"⊺⇮1786⨎⊺⇮4178=⊺⇮4178","layer":3},{"info":"⊺⇮-161681⨵⪆⊺⇮4178=⊺⇮160","layer":2},{"info":"≦∁⊺⇮160=⊺⇮-2240","layer":1},{"info":"⊺⇮-2240≋⫹=⊺⇮4480","layer":0}]}
{"id":548,"expression_no_base_symbol":"((↽≂($1115$∸))⇋≉)%($5816$⨎$4218$⫡⨏$6725$+⇶⊼$2030$⪨≂($2621$⩷∴$4064$⪠⩆⊳))","expression":"((↽≂(⊺⇮1115∸))⇋≉)%(⊺⇮5816⨎⊺⇮4218⫡⨏⊺⇮6725+⇶⊼⊺⇮2030⪨≂(⊺⇮2621⩷∴⊺⇮4064⪠⩆⊳))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":210,"operation_count":10,"complexity_ratio":21.0,"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":1115,"base":10}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5816,"base":10},"right_expr":{"type":"numeric_atoms","value":4218,"base":10}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":6725,"base":10},"right_expr":{"type":"numeric_atoms","value":2030,"base":10}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2621,"base":10},"right_expr":{"type":"numeric_atoms","value":4064,"base":10}}}}},"used_operators":["k8jYdgA6NY","XIabStNQrY","u6S6b8DprG","o20kRiQErp","sdazOOVcIp","QMFrweE19q","rJVOvQCfKK","TpPTUOHfaN","JLbD19bQDL","9FxExcQeMw"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1115","layer":4},{"info":"compute unary expreesion, input=1115, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute unary expreesion, input=177, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-354","layer":2},{"info":"compute unary expreesion, input=-354, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-806","layer":1},{"info":"number node, value=5816","layer":4},{"info":"number node, value=4218","layer":4},{"info":"compute binary expreesion, left_input=5816, right_input=4218, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4218","layer":3},{"info":"number node, value=6725","layer":4},{"info":"number node, value=2030","layer":4},{"info":"compute binary expreesion, left_input=6725, right_input=2030, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=4218, 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=2621","layer":4},{"info":"number node, value=4064","layer":4},{"info":"compute binary expreesion, left_input=2621, right_input=4064, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2918","layer":3},{"info":"compute unary expreesion, input=-2918, 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 = 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=-806, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":10,"result_base":10,"text":"((↽≂(⊺⇮1115∸))⇋≉)%(⊺⇮5816⨎⊺⇮4218⫡⨏⊺⇮6725+⇶⊼⊺⇮2030⪨≂(⊺⇮2621⩷∴⊺⇮4064⪠⩆⊳))=NaN","reverse_text":"NaN=((↽≂(⊺⇮1115∸))⇋≉)%(⊺⇮5816⨎⊺⇮4218⫡⨏⊺⇮6725+⇶⊼⊺⇮2030⪨≂(⊺⇮2621⩷∴⊺⇮4064⪠⩆⊳))","cot":[{"info":"⊺⇮1115∸=⊺⇮177","layer":3},{"info":"↽≂⊺⇮177=⊺⇮-354","layer":2},{"info":"⊺⇮-354⇋≉=⊺⇮-806","layer":1},{"info":"⊺⇮5816⨎⊺⇮4218=⊺⇮4218","layer":3},{"info":"⊺⇮6725+⇶⊼⊺⇮2030=NaN","layer":3},{"info":"⊺⇮4218⫡⨏NaN=NaN","layer":2},{"info":"⊺⇮2621⩷∴⊺⇮4064=⊺⇮-2918","layer":3},{"info":"⊺⇮-2918⪠⩆⊳=⊺⇮0","layer":2},{"info":"NaN⪨≂⊺⇮0=NaN","layer":1},{"info":"⊺⇮-806%NaN=NaN","layer":0}]}
{"id":549,"expression_no_base_symbol":"⊙↵-((($1041$⨵⪆$2951$)∀⇚≩(⫛⫱⨽$1347$))⇷($6786$≭$2873$⪒$6804$⋳⪒$1650$))","expression":"⊙↵-(((⊺⇮1041⨵⪆⊺⇮2951)∀⇚≩(⫛⫱⨽⊺⇮1347))⇷(⊺⇮6786≭⊺⇮2873⪒⊺⇮6804⋳⪒⊺⇮1650))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2588,"operation_count":8,"complexity_ratio":323.5,"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":1041,"base":10},"right_expr":{"type":"numeric_atoms","value":2951,"base":10}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1347,"base":10}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":6786,"base":10},"right_expr":{"type":"numeric_atoms","value":2873,"base":10}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":6804,"base":10},"right_expr":{"type":"numeric_atoms","value":1650,"base":10}}}}},"used_operators":["oWn0xqSxBt","mp7IySMOzn","LRNGc0VcxI","2DQ55sFlQl","DlLNRPXxWL","f6k1SAg4EE","rxpJgHHUmx","12rbrZMWeM"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1041","layer":4},{"info":"number node, value=2951","layer":4},{"info":"compute binary expreesion, left_input=1041, right_input=2951, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1347","layer":4},{"info":"compute unary expreesion, input=1347, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=160, 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=6786","layer":4},{"info":"number node, value=2873","layer":4},{"info":"compute binary expreesion, left_input=6786, right_input=2873, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=6804","layer":4},{"info":"number node, value=1650","layer":4},{"info":"compute binary expreesion, left_input=6804, right_input=1650, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=11671","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=11671, 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 = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⊙↵-(((⊺⇮1041⨵⪆⊺⇮2951)∀⇚≩(⫛⫱⨽⊺⇮1347))⇷(⊺⇮6786≭⊺⇮2873⪒⊺⇮6804⋳⪒⊺⇮1650))=NaN","reverse_text":"NaN=⊙↵-(((⊺⇮1041⨵⪆⊺⇮2951)∀⇚≩(⫛⫱⨽⊺⇮1347))⇷(⊺⇮6786≭⊺⇮2873⪒⊺⇮6804⋳⪒⊺⇮1650))","cot":[{"info":"⊺⇮1041⨵⪆⊺⇮2951=⊺⇮160","layer":3},{"info":"⫛⫱⨽⊺⇮1347=⊺⇮0","layer":3},{"info":"⊺⇮160∀⇚≩⊺⇮0=NaN","layer":2},{"info":"⊺⇮6786≭⊺⇮2873=NaN","layer":3},{"info":"⊺⇮6804⋳⪒⊺⇮1650=⊺⇮11671","layer":3},{"info":"NaN⪒⊺⇮11671=NaN","layer":2},{"info":"NaN⇷NaN=NaN","layer":1},{"info":"⊙↵-NaN=NaN","layer":0}]}
{"id":550,"expression_no_base_symbol":"≤/(⊄⩳↩$1720$)⨰($3739$⪒$2872$)⋥≓≎$2692$⋝⋈⪟$7751$⫥∨⫟($1364$⫸⊐$7887$)","expression":"≤/(⊄⩳↩⊺⇮1720)⨰(⊺⇮3739⪒⊺⇮2872)⋥≓≎⊺⇮2692⋝⋈⪟⊺⇮7751⫥∨⫟(⊺⇮1364⫸⊐⊺⇮7887)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":198,"operation_count":8,"complexity_ratio":24.75,"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":1720,"base":10}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3739,"base":10},"right_expr":{"type":"numeric_atoms","value":2872,"base":10}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2692,"base":10},"right_expr":{"type":"numeric_atoms","value":7751,"base":10}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1364,"base":10},"right_expr":{"type":"numeric_atoms","value":7887,"base":10}}}}},"used_operators":["eLAdDNolq6","Qy55tPpLXF","eewbuw0ToL","8w2t5hMYqp","f6k1SAg4EE","KYD54nUTWz","2DDjHMKMc0","mqXw5SEYmG"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1720","layer":4},{"info":"compute unary expreesion, input=1720, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-5160","layer":3},{"info":"number node, value=3739","layer":4},{"info":"number node, value=2872","layer":4},{"info":"compute binary expreesion, left_input=3739, right_input=2872, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6611","layer":3},{"info":"compute binary expreesion, left_input=-5160, right_input=-6611, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1461","layer":2},{"info":"number node, value=2692","layer":4},{"info":"number node, value=7751","layer":4},{"info":"compute binary expreesion, left_input=2692, right_input=7751, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2692","layer":3},{"info":"number node, value=1364","layer":4},{"info":"number node, value=7887","layer":4},{"info":"compute binary expreesion, left_input=1364, right_input=7887, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=31423","layer":3},{"info":"compute binary expreesion, left_input=2692, right_input=31423, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1461, 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 = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"≤/(⊄⩳↩⊺⇮1720)⨰(⊺⇮3739⪒⊺⇮2872)⋥≓≎⊺⇮2692⋝⋈⪟⊺⇮7751⫥∨⫟(⊺⇮1364⫸⊐⊺⇮7887)=NaN","reverse_text":"NaN=≤/(⊄⩳↩⊺⇮1720)⨰(⊺⇮3739⪒⊺⇮2872)⋥≓≎⊺⇮2692⋝⋈⪟⊺⇮7751⫥∨⫟(⊺⇮1364⫸⊐⊺⇮7887)","cot":[{"info":"⊄⩳↩⊺⇮1720=⊺⇮-5160","layer":3},{"info":"⊺⇮3739⪒⊺⇮2872=⊺⇮-6611","layer":3},{"info":"⊺⇮-5160⨰⊺⇮-6611=⊺⇮1461","layer":2},{"info":"⊺⇮2692⋝⋈⪟⊺⇮7751=⊺⇮2692","layer":3},{"info":"⊺⇮1364⫸⊐⊺⇮7887=⊺⇮31423","layer":3},{"info":"⊺⇮2692⫥∨⫟⊺⇮31423=NaN","layer":2},{"info":"⊺⇮1461⋥≓≎NaN=NaN","layer":1},{"info":"≤/NaN=NaN","layer":0}]}
{"id":551,"expression_no_base_symbol":"((↩$6311$)⨟⋌⩍$3332$⪮%⊝$1053$≋⫹)∼(↣≠⋷(∥⊫$1564$↙$2758$))","expression":"((↩⊺⇮6311)⨟⋌⩍⊺⇮3332⪮%⊝⊺⇮1053≋⫹)∼(↣≠⋷(∥⊫⊺⇮1564↙⊺⇮2758))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":5823,"operation_count":8,"complexity_ratio":727.875,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":6311,"base":10}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3332,"base":10},"right_expr":{"type":"numeric_atoms","value":1053,"base":10}}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1564,"base":10},"right_expr":{"type":"numeric_atoms","value":2758,"base":10}}}}},"used_operators":["DyGG3AbaNP","N41Kp7NANJ","rGHVDoGpnC","jLgFTUHLKL","IWmyXbctLI","Asc51vEJeQ","P8v4zCKN1o","yyfyN0ffXY"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6311","layer":4},{"info":"compute unary expreesion, input=6311, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-47708","layer":3},{"info":"number node, value=3332","layer":4},{"info":"number node, value=1053","layer":4},{"info":"compute binary expreesion, left_input=3332, right_input=1053, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6980","layer":3},{"info":"compute binary expreesion, left_input=-47708, right_input=6980, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=nan","layer":1},{"info":"number node, value=1564","layer":4},{"info":"number node, value=2758","layer":4},{"info":"compute binary expreesion, left_input=1564, right_input=2758, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-8274","layer":3},{"info":"compute unary expreesion, input=-8274, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=-55","layer":2},{"info":"compute unary expreesion, input=-55, op_id = 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 = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((↩⊺⇮6311)⨟⋌⩍⊺⇮3332⪮%⊝⊺⇮1053≋⫹)∼(↣≠⋷(∥⊫⊺⇮1564↙⊺⇮2758))=NaN","reverse_text":"NaN=((↩⊺⇮6311)⨟⋌⩍⊺⇮3332⪮%⊝⊺⇮1053≋⫹)∼(↣≠⋷(∥⊫⊺⇮1564↙⊺⇮2758))","cot":[{"info":"↩⊺⇮6311=⊺⇮-47708","layer":3},{"info":"⊺⇮3332⪮%⊝⊺⇮1053=⊺⇮6980","layer":3},{"info":"⊺⇮-47708⨟⋌⩍⊺⇮6980=NaN","layer":2},{"info":"NaN≋⫹=NaN","layer":1},{"info":"⊺⇮1564↙⊺⇮2758=⊺⇮-8274","layer":3},{"info":"∥⊫⊺⇮-8274=⊺⇮-55","layer":2},{"info":"↣≠⋷⊺⇮-55=NaN","layer":1},{"info":"NaN∼NaN=NaN","layer":0}]}
{"id":552,"expression_no_base_symbol":"(⫓⪴($6265$≦≮≮)⪮%⊝($2572$↪⪝))+⇶⊼(≤/$3161$↬$6975$⨽(⊥$4626$))","expression":"(⫓⪴(⊺⇮6265≦≮≮)⪮%⊝(⊺⇮2572↪⪝))+⇶⊼(≤/⊺⇮3161↬⊺⇮6975⨽(⊥⊺⇮4626))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":38000,"operation_count":9,"complexity_ratio":4222.222222222223,"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":6265,"base":10}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":2572,"base":10}}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3161,"base":10},"right_expr":{"type":"numeric_atoms","value":6975,"base":10}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":4626,"base":10}}}}},"used_operators":["TpPTUOHfaN","eLxqMNBOBk","IWmyXbctLI","D4vGDi5EA2","l07mrZUIn9","eLAdDNolq6","8HhzD0ZcuI","B5M0gjZbta","Q3PJZHRvZv"],"dependent_operators":["AHs5Up7iyr","9HNa5Wba9A","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rGHVDoGpnC","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6265","layer":4},{"info":"compute unary expreesion, input=6265, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-18795","layer":3},{"info":"number node, value=2572","layer":4},{"info":"compute unary expreesion, input=2572, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=157360104","layer":3},{"info":"compute binary expreesion, left_input=-18795, right_input=157360104, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-37274","layer":2},{"info":"compute unary expreesion, input=-37274, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1389351076","layer":1},{"info":"number node, value=3161","layer":4},{"info":"number node, value=6975","layer":4},{"info":"compute binary expreesion, left_input=3161, 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":3},{"info":"number node, value=4626","layer":4},{"info":"compute unary expreesion, input=4626, 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 = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1389351076, 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":10,"result_base":10,"text":"(⫓⪴(⊺⇮6265≦≮≮)⪮%⊝(⊺⇮2572↪⪝))+⇶⊼(≤/⊺⇮3161↬⊺⇮6975⨽(⊥⊺⇮4626))=NaN","reverse_text":"NaN=(⫓⪴(⊺⇮6265≦≮≮)⪮%⊝(⊺⇮2572↪⪝))+⇶⊼(≤/⊺⇮3161↬⊺⇮6975⨽(⊥⊺⇮4626))","cot":[{"info":"⊺⇮6265≦≮≮=⊺⇮-18795","layer":3},{"info":"⊺⇮2572↪⪝=⊺⇮157360104","layer":3},{"info":"⊺⇮-18795⪮%⊝⊺⇮157360104=⊺⇮-37274","layer":2},{"info":"⫓⪴⊺⇮-37274=⊺⇮1389351076","layer":1},{"info":"⊺⇮3161↬⊺⇮6975=NaN","layer":3},{"info":"⊥⊺⇮4626=NaN","layer":3},{"info":"NaN⨽NaN=NaN","layer":2},{"info":"≤/NaN=NaN","layer":1},{"info":"⊺⇮1389351076+⇶⊼NaN=NaN","layer":0}]}
{"id":553,"expression_no_base_symbol":"≦∁(⨑⩽⪐$5083$⋝⋈⪟$1074$)≧⫂∧$2280$⪛$2070$∑⇟⊟$2989$⪘⫢$2513$","expression":"≦∁(⨑⩽⪐⊺⇮5083⋝⋈⪟⊺⇮1074)≧⫂∧⊺⇮2280⪛⊺⇮2070∑⇟⊟⊺⇮2989⪘⫢⊺⇮2513","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":29,"operation_count":7,"complexity_ratio":4.142857142857143,"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":5083,"base":10},"right_expr":{"type":"numeric_atoms","value":1074,"base":10}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2280,"base":10},"right_expr":{"type":"numeric_atoms","value":2070,"base":10}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2989,"base":10},"right_expr":{"type":"numeric_atoms","value":2513,"base":10}}}}},"used_operators":["9ICcGScMcE","Ph9nP6C5qx","AF7qkfDlqP","2DDjHMKMc0","U7g4x0WXJJ","uFcxV4UQCh","oacrs7FA3X"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5083","layer":4},{"info":"number node, value=1074","layer":4},{"info":"compute binary expreesion, left_input=5083, right_input=1074, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5083","layer":3},{"info":"compute unary expreesion, input=5083, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-4810","layer":2},{"info":"number node, value=2280","layer":4},{"info":"number node, value=2070","layer":4},{"info":"compute binary expreesion, left_input=2280, right_input=2070, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=210","layer":3},{"info":"number node, value=2989","layer":4},{"info":"number node, value=2513","layer":4},{"info":"compute binary expreesion, left_input=2989, right_input=2513, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5854","layer":3},{"info":"compute binary expreesion, left_input=210, right_input=5854, 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=-4810, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"≦∁(⨑⩽⪐⊺⇮5083⋝⋈⪟⊺⇮1074)≧⫂∧⊺⇮2280⪛⊺⇮2070∑⇟⊟⊺⇮2989⪘⫢⊺⇮2513=NaN","reverse_text":"NaN=≦∁(⨑⩽⪐⊺⇮5083⋝⋈⪟⊺⇮1074)≧⫂∧⊺⇮2280⪛⊺⇮2070∑⇟⊟⊺⇮2989⪘⫢⊺⇮2513","cot":[{"info":"⊺⇮5083⋝⋈⪟⊺⇮1074=⊺⇮5083","layer":3},{"info":"⨑⩽⪐⊺⇮5083=⊺⇮-4810","layer":2},{"info":"⊺⇮2280⪛⊺⇮2070=⊺⇮210","layer":3},{"info":"⊺⇮2989⪘⫢⊺⇮2513=⊺⇮5854","layer":3},{"info":"⊺⇮210∑⇟⊟⊺⇮5854=NaN","layer":2},{"info":"⊺⇮-4810≧⫂∧NaN=NaN","layer":1},{"info":"≦∁NaN=NaN","layer":0}]}
{"id":554,"expression_no_base_symbol":"(≉($1002$⪄$1145$)⫸⊐($2193$≣⋋))⊪","expression":"(≉(⊺⇮1002⪄⊺⇮1145)⫸⊐(⊺⇮2193≣⋋))⊪","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":648,"operation_count":5,"complexity_ratio":129.6,"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":1002,"base":10},"right_expr":{"type":"numeric_atoms","value":1145,"base":10}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":2193,"base":10}}}}},"used_operators":["zVYPLywUTj","e1ybzncUwg","mqXw5SEYmG","SUmda5xLS4","Tcnh7f0tEr"],"dependent_operators":["sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1002","layer":4},{"info":"number node, value=1145","layer":4},{"info":"compute binary expreesion, left_input=1002, right_input=1145, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-148965","layer":3},{"info":"number node, value=2193","layer":4},{"info":"compute unary expreesion, input=2193, 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=-148965, 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=968","layer":2},{"info":"compute unary expreesion, input=968, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1499","layer":1},{"info":"compute unary expreesion, input=1499, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":0}],"base":10,"result_base":10,"text":"(≉(⊺⇮1002⪄⊺⇮1145)⫸⊐(⊺⇮2193≣⋋))⊪=⊺⇮0","reverse_text":"⊺⇮0=(≉(⊺⇮1002⪄⊺⇮1145)⫸⊐(⊺⇮2193≣⋋))⊪","cot":[{"info":"⊺⇮1002⪄⊺⇮1145=⊺⇮-148965","layer":3},{"info":"⊺⇮2193≣⋋=⊺⇮0","layer":3},{"info":"⊺⇮-148965⫸⊐⊺⇮0=⊺⇮968","layer":2},{"info":"≉⊺⇮968=⊺⇮1499","layer":1},{"info":"⊺⇮1499⊪=⊺⇮0","layer":0}]}
{"id":555,"expression_no_base_symbol":"(⊄⩳↩($8480$⨸⪁$3394$))∀⇚≩($1361$⋥≓≎$2769$)∼($3185$⨵⪆$1192$)≧⫂∧(($3990$⫡⨏$7387$)⪘⫢($6852$⨎$3684$)⩚⊴⇥($1682$≎⊠⪸$7739$⩚⊴⇥($4590$⨁⊸⫻)))","expression":"(⊄⩳↩(⊺⇮8480⨸⪁⊺⇮3394))∀⇚≩(⊺⇮1361⋥≓≎⊺⇮2769)∼(⊺⇮3185⨵⪆⊺⇮1192)≧⫂∧((⊺⇮3990⫡⨏⊺⇮7387)⪘⫢(⊺⇮6852⨎⊺⇮3684)⩚⊴⇥(⊺⇮1682≎⊠⪸⊺⇮7739⩚⊴⇥(⊺⇮4590⨁⊸⫻)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":499762,"operation_count":14,"complexity_ratio":35697.28571428572,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":8480,"base":10},"right_expr":{"type":"numeric_atoms","value":3394,"base":10}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1361,"base":10},"right_expr":{"type":"numeric_atoms","value":2769,"base":10}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3185,"base":10},"right_expr":{"type":"numeric_atoms","value":1192,"base":10}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3990,"base":10},"right_expr":{"type":"numeric_atoms","value":7387,"base":10}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":6852,"base":10},"right_expr":{"type":"numeric_atoms","value":3684,"base":10}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1682,"base":10},"right_expr":{"type":"numeric_atoms","value":7739,"base":10}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":4590,"base":10}}}}},"used_operators":["Ph9nP6C5qx","LRNGc0VcxI","8w2t5hMYqp","g55IO6H4Gj","DyGG3AbaNP","Qy55tPpLXF","2DQ55sFlQl","NTOWxs364D","oacrs7FA3X","QMFrweE19q","rJVOvQCfKK","bJkvcejdHO","glklzrTFfD"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z"],"result":"⊺⇮368392","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=8480","layer":4},{"info":"number node, value=3394","layer":4},{"info":"compute binary expreesion, left_input=8480, right_input=3394, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=23748","layer":3},{"info":"compute unary expreesion, input=23748, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-71244","layer":2},{"info":"number node, value=1361","layer":4},{"info":"number node, value=2769","layer":4},{"info":"compute binary expreesion, left_input=1361, right_input=2769, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=4210","layer":3},{"info":"number node, value=3185","layer":4},{"info":"number node, value=1192","layer":4},{"info":"compute binary expreesion, left_input=3185, right_input=1192, 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=4210, 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":"compute binary expreesion, left_input=-71244, right_input=0, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"number node, value=3990","layer":4},{"info":"number node, value=7387","layer":4},{"info":"compute binary expreesion, left_input=3990, right_input=7387, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=35507","layer":3},{"info":"number node, value=6852","layer":4},{"info":"number node, value=3684","layer":4},{"info":"compute binary expreesion, left_input=6852, right_input=3684, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3684","layer":3},{"info":"compute binary expreesion, left_input=35507, right_input=3684, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=70890","layer":2},{"info":"number node, value=1682","layer":4},{"info":"number node, value=7739","layer":4},{"info":"compute binary expreesion, left_input=1682, right_input=7739, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=435165","layer":3},{"info":"number node, value=4590","layer":4},{"info":"compute unary expreesion, input=4590, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=4590","layer":3},{"info":"compute binary expreesion, left_input=435165, right_input=4590, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-439876","layer":2},{"info":"compute binary expreesion, left_input=70890, right_input=-439876, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=368865","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=368865, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=368392","layer":0}],"base":10,"result_base":10,"text":"(⊄⩳↩(⊺⇮8480⨸⪁⊺⇮3394))∀⇚≩(⊺⇮1361⋥≓≎⊺⇮2769)∼(⊺⇮3185⨵⪆⊺⇮1192)≧⫂∧((⊺⇮3990⫡⨏⊺⇮7387)⪘⫢(⊺⇮6852⨎⊺⇮3684)⩚⊴⇥(⊺⇮1682≎⊠⪸⊺⇮7739⩚⊴⇥(⊺⇮4590⨁⊸⫻)))=⊺⇮368392","reverse_text":"⊺⇮368392=(⊄⩳↩(⊺⇮8480⨸⪁⊺⇮3394))∀⇚≩(⊺⇮1361⋥≓≎⊺⇮2769)∼(⊺⇮3185⨵⪆⊺⇮1192)≧⫂∧((⊺⇮3990⫡⨏⊺⇮7387)⪘⫢(⊺⇮6852⨎⊺⇮3684)⩚⊴⇥(⊺⇮1682≎⊠⪸⊺⇮7739⩚⊴⇥(⊺⇮4590⨁⊸⫻)))","cot":[{"info":"⊺⇮8480⨸⪁⊺⇮3394=⊺⇮23748","layer":3},{"info":"⊄⩳↩⊺⇮23748=⊺⇮-71244","layer":2},{"info":"⊺⇮1361⋥≓≎⊺⇮2769=⊺⇮4210","layer":3},{"info":"⊺⇮3185⨵⪆⊺⇮1192=⊺⇮160","layer":3},{"info":"⊺⇮4210∼⊺⇮160=⊺⇮0","layer":2},{"info":"⊺⇮-71244∀⇚≩⊺⇮0=NaN","layer":1},{"info":"⊺⇮3990⫡⨏⊺⇮7387=⊺⇮35507","layer":3},{"info":"⊺⇮6852⨎⊺⇮3684=⊺⇮3684","layer":3},{"info":"⊺⇮35507⪘⫢⊺⇮3684=⊺⇮70890","layer":2},{"info":"⊺⇮1682≎⊠⪸⊺⇮7739=⊺⇮435165","layer":3},{"info":"⊺⇮4590⨁⊸⫻=⊺⇮4590","layer":3},{"info":"⊺⇮435165⩚⊴⇥⊺⇮4590=⊺⇮-439876","layer":2},{"info":"⊺⇮70890⩚⊴⇥⊺⇮-439876=⊺⇮368865","layer":1},{"info":"NaN≧⫂∧⊺⇮368865=⊺⇮368392","layer":0}]}
{"id":556,"expression_no_base_symbol":"((⊥($1049$⨓$6740$))*($3787$∑⇟⊟$1131$⊉≛↸$7741$≹⇙⪍$3998$))↬(($4034$⋷$6834$)⨓$5438$⪛$2557$⨓($7781$≭$6466$)⇷($3577$+$2531$))","expression":"((⊥(⊺⇮1049⨓⊺⇮6740))*(⊺⇮3787∑⇟⊟⊺⇮1131⊉≛↸⊺⇮7741≹⇙⪍⊺⇮3998))↬((⊺⇮4034⋷⊺⇮6834)⨓⊺⇮5438⪛⊺⇮2557⨓(⊺⇮7781≭⊺⇮6466)⇷(⊺⇮3577+⊺⇮2531))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":19322,"operation_count":14,"complexity_ratio":1380.142857142857,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1049,"base":10},"right_expr":{"type":"numeric_atoms","value":6740,"base":10}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3787,"base":10},"right_expr":{"type":"numeric_atoms","value":1131,"base":10}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":7741,"base":10},"right_expr":{"type":"numeric_atoms","value":3998,"base":10}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":4034,"base":10},"right_expr":{"type":"numeric_atoms","value":6834,"base":10}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":5438,"base":10},"right_expr":{"type":"numeric_atoms","value":2557,"base":10}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":7781,"base":10},"right_expr":{"type":"numeric_atoms","value":6466,"base":10}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3577,"base":10},"right_expr":{"type":"numeric_atoms","value":2531,"base":10}}}}},"used_operators":["B5M0gjZbta","9HNa5Wba9A","Q3PJZHRvZv","3ViojmjbAp","DZ8iAZOCBD","U7g4x0WXJJ","AHs5Up7iyr","23Mk6UjR3U","uFcxV4UQCh","mp7IySMOzn","rxpJgHHUmx","W4YGzv6Whe"],"dependent_operators":["rGHVDoGpnC","W4YGzv6Whe","fu6greOZ01","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1049","layer":4},{"info":"number node, value=6740","layer":4},{"info":"compute binary expreesion, left_input=1049, right_input=6740, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-6743","layer":3},{"info":"compute unary expreesion, input=-6743, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"number node, value=3787","layer":4},{"info":"number node, value=1131","layer":4},{"info":"compute binary expreesion, left_input=3787, right_input=1131, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=7741","layer":4},{"info":"number node, value=3998","layer":4},{"info":"compute binary expreesion, left_input=7741, right_input=3998, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=4034","layer":4},{"info":"number node, value=6834","layer":4},{"info":"compute binary expreesion, left_input=4034, right_input=6834, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=9634","layer":3},{"info":"number node, value=5438","layer":4},{"info":"number node, value=2557","layer":4},{"info":"compute binary expreesion, left_input=5438, right_input=2557, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=324","layer":3},{"info":"compute binary expreesion, left_input=9634, right_input=324, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-327","layer":2},{"info":"number node, value=7781","layer":4},{"info":"number node, value=6466","layer":4},{"info":"compute binary expreesion, left_input=7781, right_input=6466, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=3577","layer":4},{"info":"number node, value=2531","layer":4},{"info":"compute binary expreesion, left_input=3577, right_input=2531, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6108","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6108, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=12216","layer":2},{"info":"compute binary expreesion, left_input=-327, right_input=12216, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-12219","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-12219, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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":10,"result_base":10,"text":"((⊥(⊺⇮1049⨓⊺⇮6740))*(⊺⇮3787∑⇟⊟⊺⇮1131⊉≛↸⊺⇮7741≹⇙⪍⊺⇮3998))↬((⊺⇮4034⋷⊺⇮6834)⨓⊺⇮5438⪛⊺⇮2557⨓(⊺⇮7781≭⊺⇮6466)⇷(⊺⇮3577+⊺⇮2531))=NaN","reverse_text":"NaN=((⊥(⊺⇮1049⨓⊺⇮6740))*(⊺⇮3787∑⇟⊟⊺⇮1131⊉≛↸⊺⇮7741≹⇙⪍⊺⇮3998))↬((⊺⇮4034⋷⊺⇮6834)⨓⊺⇮5438⪛⊺⇮2557⨓(⊺⇮7781≭⊺⇮6466)⇷(⊺⇮3577+⊺⇮2531))","cot":[{"info":"⊺⇮1049⨓⊺⇮6740=⊺⇮-6743","layer":3},{"info":"⊥⊺⇮-6743=NaN","layer":2},{"info":"⊺⇮3787∑⇟⊟⊺⇮1131=NaN","layer":3},{"info":"⊺⇮7741≹⇙⪍⊺⇮3998=NaN","layer":3},{"info":"NaN⊉≛↸NaN=NaN","layer":2},{"info":"NaN*NaN=NaN","layer":1},{"info":"⊺⇮4034⋷⊺⇮6834=⊺⇮9634","layer":3},{"info":"⊺⇮5438⪛⊺⇮2557=⊺⇮324","layer":3},{"info":"⊺⇮9634⨓⊺⇮324=⊺⇮-327","layer":2},{"info":"⊺⇮7781≭⊺⇮6466=NaN","layer":3},{"info":"⊺⇮3577+⊺⇮2531=⊺⇮6108","layer":3},{"info":"NaN⇷⊺⇮6108=⊺⇮12216","layer":2},{"info":"⊺⇮-327⨓⊺⇮12216=⊺⇮-12219","layer":1},{"info":"NaN↬⊺⇮-12219=NaN","layer":0}]}
{"id":557,"expression_no_base_symbol":"(($1749$⋷$4560$)+⇶⊼$3902$∑⇟⊟$2196$%($1638$↛⩡⫤)⪘⫢(↣≠⋷$1645$))⋓(($5904$+⇶⊼$4720$⋥≓≎$4356$↬$5547$)≎⊠⪸((↽≂$1317$)+⇶⊼(∂$1321$)))","expression":"((⊺⇮1749⋷⊺⇮4560)+⇶⊼⊺⇮3902∑⇟⊟⊺⇮2196%(⊺⇮1638↛⩡⫤)⪘⫢(↣≠⋷⊺⇮1645))⋓((⊺⇮5904+⇶⊼⊺⇮4720⋥≓≎⊺⇮4356↬⊺⇮5547)≎⊠⪸((↽≂⊺⇮1317)+⇶⊼(∂⊺⇮1321)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5099,"operation_count":15,"complexity_ratio":339.93333333333334,"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":1749,"base":10},"right_expr":{"type":"numeric_atoms","value":4560,"base":10}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3902,"base":10},"right_expr":{"type":"numeric_atoms","value":2196,"base":10}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1638,"base":10}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1645,"base":10}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":5904,"base":10},"right_expr":{"type":"numeric_atoms","value":4720,"base":10}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4356,"base":10},"right_expr":{"type":"numeric_atoms","value":5547,"base":10}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1317,"base":10}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1321,"base":10}}}}},"used_operators":["T2fj7uvVaJ","k8jYdgA6NY","TpPTUOHfaN","23Mk6UjR3U","U7g4x0WXJJ","oacrs7FA3X","FU0Cs4j7VP","Asc51vEJeQ","bJkvcejdHO","Qy55tPpLXF","B5M0gjZbta","u6S6b8DprG","Uaa54Peajs"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","XhwjNDsVaA","AHs5Up7iyr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1749","layer":4},{"info":"number node, value=4560","layer":4},{"info":"compute binary expreesion, left_input=1749, right_input=4560, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=7371","layer":3},{"info":"number node, value=3902","layer":4},{"info":"number node, value=2196","layer":4},{"info":"compute binary expreesion, left_input=3902, right_input=2196, 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=7371, 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=1638","layer":4},{"info":"compute unary expreesion, input=1638, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-243427","layer":3},{"info":"number node, value=1645","layer":4},{"info":"compute unary expreesion, input=1645, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-243427, 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 = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=5904","layer":4},{"info":"number node, value=4720","layer":4},{"info":"compute binary expreesion, left_input=5904, right_input=4720, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=4356","layer":4},{"info":"number node, value=5547","layer":4},{"info":"compute binary expreesion, left_input=4356, right_input=5547, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"number node, value=1317","layer":4},{"info":"compute unary expreesion, input=1317, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2634","layer":3},{"info":"number node, value=1321","layer":4},{"info":"compute unary expreesion, input=1321, 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=-2634, 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=67, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1749⋷⊺⇮4560)+⇶⊼⊺⇮3902∑⇟⊟⊺⇮2196%(⊺⇮1638↛⩡⫤)⪘⫢(↣≠⋷⊺⇮1645))⋓((⊺⇮5904+⇶⊼⊺⇮4720⋥≓≎⊺⇮4356↬⊺⇮5547)≎⊠⪸((↽≂⊺⇮1317)+⇶⊼(∂⊺⇮1321)))=⊺⇮0","reverse_text":"⊺⇮0=((⊺⇮1749⋷⊺⇮4560)+⇶⊼⊺⇮3902∑⇟⊟⊺⇮2196%(⊺⇮1638↛⩡⫤)⪘⫢(↣≠⋷⊺⇮1645))⋓((⊺⇮5904+⇶⊼⊺⇮4720⋥≓≎⊺⇮4356↬⊺⇮5547)≎⊠⪸((↽≂⊺⇮1317)+⇶⊼(∂⊺⇮1321)))","cot":[{"info":"⊺⇮1749⋷⊺⇮4560=⊺⇮7371","layer":3},{"info":"⊺⇮3902∑⇟⊟⊺⇮2196=NaN","layer":3},{"info":"⊺⇮7371+⇶⊼NaN=NaN","layer":2},{"info":"⊺⇮1638↛⩡⫤=⊺⇮-243427","layer":3},{"info":"↣≠⋷⊺⇮1645=NaN","layer":3},{"info":"⊺⇮-243427⪘⫢NaN=NaN","layer":2},{"info":"NaN%NaN=NaN","layer":1},{"info":"⊺⇮5904+⇶⊼⊺⇮4720=NaN","layer":3},{"info":"⊺⇮4356↬⊺⇮5547=NaN","layer":3},{"info":"NaN⋥≓≎NaN=⊺⇮67","layer":2},{"info":"↽≂⊺⇮1317=⊺⇮-2634","layer":3},{"info":"∂⊺⇮1321=NaN","layer":3},{"info":"⊺⇮-2634+⇶⊼NaN=NaN","layer":2},{"info":"⊺⇮67≎⊠⪸NaN=⊺⇮67","layer":1},{"info":"NaN⋓⊺⇮67=⊺⇮0","layer":0}]}
{"id":558,"expression_no_base_symbol":"(($1305$⪠⩆⊳)⊘)⊭↱(≤/$3784$↙$3338$)⇼⇔∾((≤/$2275$)-$2272$⊭↱$6784$)⨪↰⇹((-$1484$)⊭↱(↣≠⋷$1338$))","expression":"((⊺⇮1305⪠⩆⊳)⊘)⊭↱(≤/⊺⇮3784↙⊺⇮3338)⇼⇔∾((≤/⊺⇮2275)-⊺⇮2272⊭↱⊺⇮6784)⨪↰⇹((-⊺⇮1484)⊭↱(↣≠⋷⊺⇮1338))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":14216,"operation_count":13,"complexity_ratio":1093.5384615384614,"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":1305,"base":10}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3784,"base":10},"right_expr":{"type":"numeric_atoms","value":3338,"base":10}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2275,"base":10}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2272,"base":10},"right_expr":{"type":"numeric_atoms","value":6784,"base":10}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1484,"base":10}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1338,"base":10}}}}},"used_operators":["tifHPKVTfV","COABgblf1C","gu96TGCTMs","JLbD19bQDL","eLAdDNolq6","yyfyN0ffXY","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","Asc51vEJeQ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","rJVOvQCfKK","XhwjNDsVaA","AHs5Up7iyr"],"result":"⊺⇮-31821","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1305","layer":4},{"info":"compute unary expreesion, input=1305, 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 = 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=3784","layer":4},{"info":"number node, value=3338","layer":4},{"info":"compute binary expreesion, left_input=3784, right_input=3338, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-10014","layer":3},{"info":"compute unary expreesion, input=-10014, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=10498","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=10498, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=21001","layer":1},{"info":"number node, value=2275","layer":4},{"info":"compute unary expreesion, input=2275, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1791","layer":3},{"info":"number node, value=2272","layer":4},{"info":"number node, value=6784","layer":4},{"info":"compute binary expreesion, left_input=2272, right_input=6784, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=9029","layer":3},{"info":"compute binary expreesion, left_input=-1791, right_input=9029, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-10820","layer":2},{"info":"number node, value=1484","layer":4},{"info":"compute unary expreesion, input=1484, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1484","layer":3},{"info":"number node, value=1338","layer":4},{"info":"compute unary expreesion, input=1338, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1484, 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=-10820, 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=-10820","layer":1},{"info":"compute binary expreesion, left_input=21001, right_input=-10820, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-31821","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1305⪠⩆⊳)⊘)⊭↱(≤/⊺⇮3784↙⊺⇮3338)⇼⇔∾((≤/⊺⇮2275)-⊺⇮2272⊭↱⊺⇮6784)⨪↰⇹((-⊺⇮1484)⊭↱(↣≠⋷⊺⇮1338))=⊺⇮-31821","reverse_text":"⊺⇮-31821=((⊺⇮1305⪠⩆⊳)⊘)⊭↱(≤/⊺⇮3784↙⊺⇮3338)⇼⇔∾((≤/⊺⇮2275)-⊺⇮2272⊭↱⊺⇮6784)⨪↰⇹((-⊺⇮1484)⊭↱(↣≠⋷⊺⇮1338))","cot":[{"info":"⊺⇮1305⪠⩆⊳=⊺⇮0","layer":3},{"info":"⊺⇮0⊘=⊺⇮0","layer":2},{"info":"⊺⇮3784↙⊺⇮3338=⊺⇮-10014","layer":3},{"info":"≤/⊺⇮-10014=⊺⇮10498","layer":2},{"info":"⊺⇮0⊭↱⊺⇮10498=⊺⇮21001","layer":1},{"info":"≤/⊺⇮2275=⊺⇮-1791","layer":3},{"info":"⊺⇮2272⊭↱⊺⇮6784=⊺⇮9029","layer":3},{"info":"⊺⇮-1791-⊺⇮9029=⊺⇮-10820","layer":2},{"info":"-⊺⇮1484=⊺⇮-1484","layer":3},{"info":"↣≠⋷⊺⇮1338=NaN","layer":3},{"info":"⊺⇮-1484⊭↱NaN=NaN","layer":2},{"info":"⊺⇮-10820⨪↰⇹NaN=⊺⇮-10820","layer":1},{"info":"⊺⇮21001⇼⇔∾⊺⇮-10820=⊺⇮-31821","layer":0}]}
{"id":559,"expression_no_base_symbol":"(⊄⩳↩($6749$⋝⋈⪟$8873$))⨸⪁(⊄⩳↩(↽≂$5238$))⋷(⨈⫕($2424$⊉≛↸$1697$))⊭↱($1979$≭$3087$↪⪝)","expression":"(⊄⩳↩(⊺⇮6749⋝⋈⪟⊺⇮8873))⨸⪁(⊄⩳↩(↽≂⊺⇮5238))⋷(⨈⫕(⊺⇮2424⊉≛↸⊺⇮1697))⊭↱(⊺⇮1979≭⊺⇮3087↪⪝)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":418,"operation_count":11,"complexity_ratio":38.0,"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":6749,"base":10},"right_expr":{"type":"numeric_atoms","value":8873,"base":10}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":5238,"base":10}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2424,"base":10},"right_expr":{"type":"numeric_atoms","value":1697,"base":10}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1979,"base":10},"right_expr":{"type":"numeric_atoms","value":3087,"base":10}}}}},"used_operators":["23Mk6UjR3U","g55IO6H4Gj","8w2t5hMYqp","2DDjHMKMc0","u6S6b8DprG","COABgblf1C","megm06wKyl","DZ8iAZOCBD","l07mrZUIn9","rxpJgHHUmx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6749","layer":4},{"info":"number node, value=8873","layer":4},{"info":"compute binary expreesion, left_input=6749, right_input=8873, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6749","layer":3},{"info":"compute unary expreesion, input=6749, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-20247","layer":2},{"info":"number node, value=5238","layer":4},{"info":"compute unary expreesion, input=5238, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-10476","layer":3},{"info":"compute unary expreesion, input=-10476, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=31428","layer":2},{"info":"compute binary expreesion, left_input=-20247, right_input=31428, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=22362","layer":1},{"info":"number node, value=2424","layer":4},{"info":"number node, value=1697","layer":4},{"info":"compute binary expreesion, left_input=2424, right_input=1697, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4848","layer":3},{"info":"compute unary expreesion, input=4848, 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=1979","layer":4},{"info":"number node, value=3087","layer":4},{"info":"compute binary expreesion, left_input=1979, right_input=3087, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-21, 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=22362, 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":10,"result_base":10,"text":"(⊄⩳↩(⊺⇮6749⋝⋈⪟⊺⇮8873))⨸⪁(⊄⩳↩(↽≂⊺⇮5238))⋷(⨈⫕(⊺⇮2424⊉≛↸⊺⇮1697))⊭↱(⊺⇮1979≭⊺⇮3087↪⪝)=NaN","reverse_text":"NaN=(⊄⩳↩(⊺⇮6749⋝⋈⪟⊺⇮8873))⨸⪁(⊄⩳↩(↽≂⊺⇮5238))⋷(⨈⫕(⊺⇮2424⊉≛↸⊺⇮1697))⊭↱(⊺⇮1979≭⊺⇮3087↪⪝)","cot":[{"info":"⊺⇮6749⋝⋈⪟⊺⇮8873=⊺⇮6749","layer":3},{"info":"⊄⩳↩⊺⇮6749=⊺⇮-20247","layer":2},{"info":"↽≂⊺⇮5238=⊺⇮-10476","layer":3},{"info":"⊄⩳↩⊺⇮-10476=⊺⇮31428","layer":2},{"info":"⊺⇮-20247⨸⪁⊺⇮31428=⊺⇮22362","layer":1},{"info":"⊺⇮2424⊉≛↸⊺⇮1697=⊺⇮4848","layer":3},{"info":"⨈⫕⊺⇮4848=⊺⇮-21","layer":2},{"info":"⊺⇮1979≭⊺⇮3087=NaN","layer":3},{"info":"NaN↪⪝=NaN","layer":2},{"info":"⊺⇮-21⊭↱NaN=NaN","layer":1},{"info":"⊺⇮22362⋷NaN=NaN","layer":0}]}
{"id":560,"expression_no_base_symbol":"⩦⩻⨪((⨑⩽⪐$5562$)+⇶⊼($1778$⋳⪒$1024$))∀⇚≩(⪝⪂⫅($5037$≎⊠⪸$2892$))","expression":"⩦⩻⨪((⨑⩽⪐⊺⇮5562)+⇶⊼(⊺⇮1778⋳⪒⊺⇮1024))∀⇚≩(⪝⪂⫅(⊺⇮5037≎⊠⪸⊺⇮2892))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":436,"operation_count":7,"complexity_ratio":62.285714285714285,"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":5562,"base":10}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1778,"base":10},"right_expr":{"type":"numeric_atoms","value":1024,"base":10}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":5037,"base":10},"right_expr":{"type":"numeric_atoms","value":2892,"base":10}}}}},"used_operators":["2td37pGCOC","LRNGc0VcxI","TpPTUOHfaN","AF7qkfDlqP","12rbrZMWeM","XTarYq4gQB","bJkvcejdHO"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5562","layer":4},{"info":"compute unary expreesion, input=5562, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-5289","layer":3},{"info":"number node, value=1778","layer":4},{"info":"number node, value=1024","layer":4},{"info":"compute binary expreesion, left_input=1778, right_input=1024, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2245","layer":3},{"info":"compute binary expreesion, left_input=-5289, right_input=2245, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=5037","layer":4},{"info":"number node, value=2892","layer":4},{"info":"compute binary expreesion, left_input=5037, right_input=2892, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1304110","layer":3},{"info":"compute unary expreesion, input=1304110, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-191704170","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-191704170, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⩦⩻⨪((⨑⩽⪐⊺⇮5562)+⇶⊼(⊺⇮1778⋳⪒⊺⇮1024))∀⇚≩(⪝⪂⫅(⊺⇮5037≎⊠⪸⊺⇮2892))=NaN","reverse_text":"NaN=⩦⩻⨪((⨑⩽⪐⊺⇮5562)+⇶⊼(⊺⇮1778⋳⪒⊺⇮1024))∀⇚≩(⪝⪂⫅(⊺⇮5037≎⊠⪸⊺⇮2892))","cot":[{"info":"⨑⩽⪐⊺⇮5562=⊺⇮-5289","layer":3},{"info":"⊺⇮1778⋳⪒⊺⇮1024=⊺⇮2245","layer":3},{"info":"⊺⇮-5289+⇶⊼⊺⇮2245=NaN","layer":2},{"info":"⊺⇮5037≎⊠⪸⊺⇮2892=⊺⇮1304110","layer":3},{"info":"⪝⪂⫅⊺⇮1304110=⊺⇮-191704170","layer":2},{"info":"NaN∀⇚≩⊺⇮-191704170=NaN","layer":1},{"info":"⩦⩻⨪NaN=NaN","layer":0}]}
{"id":561,"expression_no_base_symbol":"(⩦⩻⨪((⊙↵-$3009$)%(⊙↵-$1361$)))⪄(⨈⫕(⫛⫱⨽($4126$↙$6582$)))","expression":"(⩦⩻⨪((⊙↵-⊺⇮3009)%(⊙↵-⊺⇮1361)))⪄(⨈⫕(⫛⫱⨽(⊺⇮4126↙⊺⇮6582)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":12883,"operation_count":8,"complexity_ratio":1610.375,"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":3009,"base":10}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1361,"base":10}}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4126,"base":10},"right_expr":{"type":"numeric_atoms","value":6582,"base":10}}}}},"used_operators":["SUmda5xLS4","2td37pGCOC","k8jYdgA6NY","oWn0xqSxBt","megm06wKyl","DlLNRPXxWL","yyfyN0ffXY"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rGHVDoGpnC","tmPS8pqC7x","DpFCA1CohY"],"result":"⊺⇮3995","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3009","layer":4},{"info":"compute unary expreesion, input=3009, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=1361","layer":4},{"info":"compute unary expreesion, input=1361, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=-1, op_id = k8jYdgA6NY binary_op_definition= 'None', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=0","layer":1},{"info":"number node, value=4126","layer":4},{"info":"number node, value=6582","layer":4},{"info":"compute binary expreesion, left_input=4126, right_input=6582, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-19746","layer":3},{"info":"compute unary expreesion, input=-19746, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-21, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3995","layer":0}],"base":10,"result_base":10,"text":"(⩦⩻⨪((⊙↵-⊺⇮3009)%(⊙↵-⊺⇮1361)))⪄(⨈⫕(⫛⫱⨽(⊺⇮4126↙⊺⇮6582)))=⊺⇮3995","reverse_text":"⊺⇮3995=(⩦⩻⨪((⊙↵-⊺⇮3009)%(⊙↵-⊺⇮1361)))⪄(⨈⫕(⫛⫱⨽(⊺⇮4126↙⊺⇮6582)))","cot":[{"info":"⊙↵-⊺⇮3009=⊺⇮-1","layer":3},{"info":"⊙↵-⊺⇮1361=⊺⇮-1","layer":3},{"info":"⊺⇮-1%⊺⇮-1=⊺⇮0","layer":2},{"info":"⩦⩻⨪⊺⇮0=⊺⇮0","layer":1},{"info":"⊺⇮4126↙⊺⇮6582=⊺⇮-19746","layer":3},{"info":"⫛⫱⨽⊺⇮-19746=⊺⇮0","layer":2},{"info":"⨈⫕⊺⇮0=⊺⇮-21","layer":1},{"info":"⊺⇮0⪄⊺⇮-21=⊺⇮3995","layer":0}]}
{"id":562,"expression_no_base_symbol":"(($1059$≭$1044$↛⩡⫤)⊪)∑⇟⊟(($5354$⪘⫢$4821$+⇶⊼($3086$-$1015$))≧⫂∧($6571$↙$1175$+($5423$⫡⨏$3566$)))","expression":"((⊺⇮1059≭⊺⇮1044↛⩡⫤)⊪)∑⇟⊟((⊺⇮5354⪘⫢⊺⇮4821+⇶⊼(⊺⇮3086-⊺⇮1015))≧⫂∧(⊺⇮6571↙⊺⇮1175+(⊺⇮5423⫡⨏⊺⇮3566)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1282,"operation_count":11,"complexity_ratio":116.54545454545455,"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":1059,"base":10},"right_expr":{"type":"numeric_atoms","value":1044,"base":10}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":5354,"base":10},"right_expr":{"type":"numeric_atoms","value":4821,"base":10}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3086,"base":10},"right_expr":{"type":"numeric_atoms","value":1015,"base":10}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":6571,"base":10},"right_expr":{"type":"numeric_atoms","value":1175,"base":10}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":5423,"base":10},"right_expr":{"type":"numeric_atoms","value":3566,"base":10}}}}},"used_operators":["U7g4x0WXJJ","zVYPLywUTj","FU0Cs4j7VP","rxpJgHHUmx","Ph9nP6C5qx","TpPTUOHfaN","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","yyfyN0ffXY","QMFrweE19q"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1059","layer":4},{"info":"number node, value=1044","layer":4},{"info":"compute binary expreesion, left_input=1059, right_input=1044, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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":"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=5354","layer":4},{"info":"number node, value=4821","layer":4},{"info":"compute binary expreesion, left_input=5354, right_input=4821, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=10584","layer":3},{"info":"number node, value=3086","layer":4},{"info":"number node, value=1015","layer":4},{"info":"compute binary expreesion, left_input=3086, right_input=1015, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2071","layer":3},{"info":"compute binary expreesion, left_input=10584, right_input=2071, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=6571","layer":4},{"info":"number node, value=1175","layer":4},{"info":"compute binary expreesion, left_input=6571, right_input=1175, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3525","layer":3},{"info":"number node, value=5423","layer":4},{"info":"number node, value=3566","layer":4},{"info":"compute binary expreesion, left_input=5423, 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=35030","layer":3},{"info":"compute binary expreesion, left_input=-3525, right_input=35030, op_id = W4YGzv6Whe binary_op_definition= 'None', output=31505","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=31505, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=31032","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=31032, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1059≭⊺⇮1044↛⩡⫤)⊪)∑⇟⊟((⊺⇮5354⪘⫢⊺⇮4821+⇶⊼(⊺⇮3086-⊺⇮1015))≧⫂∧(⊺⇮6571↙⊺⇮1175+(⊺⇮5423⫡⨏⊺⇮3566)))=NaN","reverse_text":"NaN=((⊺⇮1059≭⊺⇮1044↛⩡⫤)⊪)∑⇟⊟((⊺⇮5354⪘⫢⊺⇮4821+⇶⊼(⊺⇮3086-⊺⇮1015))≧⫂∧(⊺⇮6571↙⊺⇮1175+(⊺⇮5423⫡⨏⊺⇮3566)))","cot":[{"info":"⊺⇮1059≭⊺⇮1044=NaN","layer":3},{"info":"NaN↛⩡⫤=NaN","layer":2},{"info":"NaN⊪=NaN","layer":1},{"info":"⊺⇮5354⪘⫢⊺⇮4821=⊺⇮10584","layer":3},{"info":"⊺⇮3086-⊺⇮1015=⊺⇮2071","layer":3},{"info":"⊺⇮10584+⇶⊼⊺⇮2071=NaN","layer":2},{"info":"⊺⇮6571↙⊺⇮1175=⊺⇮-3525","layer":3},{"info":"⊺⇮5423⫡⨏⊺⇮3566=⊺⇮35030","layer":3},{"info":"⊺⇮-3525+⊺⇮35030=⊺⇮31505","layer":2},{"info":"NaN≧⫂∧⊺⇮31505=⊺⇮31032","layer":1},{"info":"NaN∑⇟⊟⊺⇮31032=NaN","layer":0}]}
{"id":563,"expression_no_base_symbol":"⇁⨣⪵(($1731$⋫)⩷∴($3455$+⇶⊼$3681$)⊉≛↸(⊥$1592$)⋝⋈⪟$2242$↬$4111$)","expression":"⇁⨣⪵((⊺⇮1731⋫)⩷∴(⊺⇮3455+⇶⊼⊺⇮3681)⊉≛↸(⊥⊺⇮1592)⋝⋈⪟⊺⇮2242↬⊺⇮4111)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1746,"operation_count":8,"complexity_ratio":218.25,"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":1731,"base":10}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3455,"base":10},"right_expr":{"type":"numeric_atoms","value":3681,"base":10}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1592,"base":10}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2242,"base":10},"right_expr":{"type":"numeric_atoms","value":4111,"base":10}}}}},"used_operators":["inkyxCbjAn","DZ8iAZOCBD","9FxExcQeMw","JL8yIekQnl","TpPTUOHfaN","2DDjHMKMc0","Q3PJZHRvZv","B5M0gjZbta"],"dependent_operators":["B5M0gjZbta","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","tmPS8pqC7x","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=1731","layer":4},{"info":"compute unary expreesion, input=1731, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1731","layer":3},{"info":"number node, value=3455","layer":4},{"info":"number node, value=3681","layer":4},{"info":"compute binary expreesion, left_input=3455, right_input=3681, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=1731, 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=1592","layer":4},{"info":"compute unary expreesion, input=1592, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=2242","layer":4},{"info":"number node, value=4111","layer":4},{"info":"compute binary expreesion, left_input=2242, right_input=4111, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⇁⨣⪵((⊺⇮1731⋫)⩷∴(⊺⇮3455+⇶⊼⊺⇮3681)⊉≛↸(⊥⊺⇮1592)⋝⋈⪟⊺⇮2242↬⊺⇮4111)=NaN","reverse_text":"NaN=⇁⨣⪵((⊺⇮1731⋫)⩷∴(⊺⇮3455+⇶⊼⊺⇮3681)⊉≛↸(⊥⊺⇮1592)⋝⋈⪟⊺⇮2242↬⊺⇮4111)","cot":[{"info":"⊺⇮1731⋫=⊺⇮1731","layer":3},{"info":"⊺⇮3455+⇶⊼⊺⇮3681=NaN","layer":3},{"info":"⊺⇮1731⩷∴NaN=NaN","layer":2},{"info":"⊥⊺⇮1592=NaN","layer":3},{"info":"⊺⇮2242↬⊺⇮4111=NaN","layer":3},{"info":"NaN⋝⋈⪟NaN=NaN","layer":2},{"info":"NaN⊉≛↸NaN=NaN","layer":1},{"info":"⇁⨣⪵NaN=NaN","layer":0}]}
{"id":564,"expression_no_base_symbol":"∂(⪝⪂⫅(⨰⫟⨤$2867$↬$6630$))","expression":"∂(⪝⪂⫅(⨰⫟⨤⊺⇮2867↬⊺⇮6630))","highest_n_order":5,"priority_hierarchical_complexity":1,"normalized_expansion_degree":35,"operation_count":4,"complexity_ratio":8.75,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2867,"base":10},"right_expr":{"type":"numeric_atoms","value":6630,"base":10}}}}},"used_operators":["Uaa54Peajs","XTarYq4gQB","Tw270M8GLb","B5M0gjZbta"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","9HNa5Wba9A","8w2t5hMYqp","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=2867","layer":4},{"info":"number node, value=6630","layer":4},{"info":"compute binary expreesion, left_input=2867, right_input=6630, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"compute 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 = 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":10,"result_base":10,"text":"∂(⪝⪂⫅(⨰⫟⨤⊺⇮2867↬⊺⇮6630))=NaN","reverse_text":"NaN=∂(⪝⪂⫅(⨰⫟⨤⊺⇮2867↬⊺⇮6630))","cot":[{"info":"⊺⇮2867↬⊺⇮6630=NaN","layer":3},{"info":"⨰⫟⨤NaN=NaN","layer":2},{"info":"⪝⪂⫅NaN=NaN","layer":1},{"info":"∂NaN=NaN","layer":0}]}
{"id":565,"expression_no_base_symbol":"↣≠⋷((($1455$⨸⪁$6834$)⋓($5928$⩨$2845$))⩠)","expression":"↣≠⋷(((⊺⇮1455⨸⪁⊺⇮6834)⋓(⊺⇮5928⩨⊺⇮2845))⩠)","highest_n_order":4,"priority_hierarchical_complexity":4,"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":1455,"base":10},"right_expr":{"type":"numeric_atoms","value":6834,"base":10}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":5928,"base":10},"right_expr":{"type":"numeric_atoms","value":2845,"base":10}}}}},"used_operators":["Asc51vEJeQ","sJAwomhLZr","T2fj7uvVaJ","g55IO6H4Gj","2DlMacCsIx"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1455","layer":4},{"info":"number node, value=6834","layer":4},{"info":"compute binary expreesion, left_input=1455, right_input=6834, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=16578","layer":3},{"info":"number node, value=5928","layer":4},{"info":"number node, value=2845","layer":4},{"info":"compute binary expreesion, left_input=5928, right_input=2845, 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=16578, 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 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 = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"↣≠⋷(((⊺⇮1455⨸⪁⊺⇮6834)⋓(⊺⇮5928⩨⊺⇮2845))⩠)=NaN","reverse_text":"NaN=↣≠⋷(((⊺⇮1455⨸⪁⊺⇮6834)⋓(⊺⇮5928⩨⊺⇮2845))⩠)","cot":[{"info":"⊺⇮1455⨸⪁⊺⇮6834=⊺⇮16578","layer":3},{"info":"⊺⇮5928⩨⊺⇮2845=⊺⇮0","layer":3},{"info":"⊺⇮16578⋓⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮0⩠=NaN","layer":1},{"info":"↣≠⋷NaN=NaN","layer":0}]}
{"id":566,"expression_no_base_symbol":"(≦∁($2849$↺$3958$)⨽(∥⊫$1906$))⨳⩥⨓(⨑⩽⪐(⨑⩽⪐($7320$⊭↱$4648$)))","expression":"(≦∁(⊺⇮2849↺⊺⇮3958)⨽(∥⊫⊺⇮1906))⨳⩥⨓(⨑⩽⪐(⨑⩽⪐(⊺⇮7320⊭↱⊺⇮4648)))","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":160179,"operation_count":8,"complexity_ratio":20022.375,"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":2849,"base":10},"right_expr":{"type":"numeric_atoms","value":3958,"base":10}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1906,"base":10}}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":7320,"base":10},"right_expr":{"type":"numeric_atoms","value":4648,"base":10}}}}},"used_operators":["nCS4ZIUYfx","9ICcGScMcE","8HhzD0ZcuI","7j4O788W3g","P8v4zCKN1o","AF7qkfDlqP","COABgblf1C"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮-11261","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2849","layer":4},{"info":"number node, value=3958","layer":4},{"info":"compute binary expreesion, left_input=2849, right_input=3958, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3958","layer":3},{"info":"number node, value=1906","layer":4},{"info":"compute unary expreesion, input=1906, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2774","layer":3},{"info":"compute binary expreesion, left_input=3958, right_input=2774, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-47004300","layer":2},{"info":"compute unary expreesion, input=-47004300, 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=7320","layer":4},{"info":"number node, value=4648","layer":4},{"info":"compute binary expreesion, left_input=7320, right_input=4648, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-5339","layer":3},{"info":"compute unary expreesion, input=-5339, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=11467","layer":2},{"info":"compute unary expreesion, input=11467, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-11194","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-11194, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-11261","layer":0}],"base":10,"result_base":10,"text":"(≦∁(⊺⇮2849↺⊺⇮3958)⨽(∥⊫⊺⇮1906))⨳⩥⨓(⨑⩽⪐(⨑⩽⪐(⊺⇮7320⊭↱⊺⇮4648)))=⊺⇮-11261","reverse_text":"⊺⇮-11261=(≦∁(⊺⇮2849↺⊺⇮3958)⨽(∥⊫⊺⇮1906))⨳⩥⨓(⨑⩽⪐(⨑⩽⪐(⊺⇮7320⊭↱⊺⇮4648)))","cot":[{"info":"⊺⇮2849↺⊺⇮3958=⊺⇮3958","layer":3},{"info":"∥⊫⊺⇮1906=⊺⇮2774","layer":3},{"info":"⊺⇮3958⨽⊺⇮2774=⊺⇮-47004300","layer":2},{"info":"≦∁⊺⇮-47004300=⊺⇮67","layer":1},{"info":"⊺⇮7320⊭↱⊺⇮4648=⊺⇮-5339","layer":3},{"info":"⨑⩽⪐⊺⇮-5339=⊺⇮11467","layer":2},{"info":"⨑⩽⪐⊺⇮11467=⊺⇮-11194","layer":1},{"info":"⊺⇮67⨳⩥⨓⊺⇮-11194=⊺⇮-11261","layer":0}]}
{"id":567,"expression_no_base_symbol":"↽≂(↯⪼($2756$⪘⫢$3103$))⪘⫢(⪲⇎($4691$⊘))","expression":"↽≂(↯⪼(⊺⇮2756⪘⫢⊺⇮3103))⪘⫢(⪲⇎(⊺⇮4691⊘))","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":79,"operation_count":6,"complexity_ratio":13.166666666666666,"tree":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2756,"base":10},"right_expr":{"type":"numeric_atoms","value":3103,"base":10}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":4691,"base":10}}}}},"used_operators":["u6S6b8DprG","oacrs7FA3X","8jW3W4yZS5","XPYlsWDdGa","gu96TGCTMs"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=2756","layer":4},{"info":"number node, value=3103","layer":4},{"info":"compute binary expreesion, left_input=2756, right_input=3103, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5388","layer":3},{"info":"compute unary expreesion, input=5388, 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=4691","layer":4},{"info":"compute unary expreesion, input=4691, 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 = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=0, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=0","layer":1},{"info":"compute 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":0}],"base":10,"result_base":10,"text":"↽≂(↯⪼(⊺⇮2756⪘⫢⊺⇮3103))⪘⫢(⪲⇎(⊺⇮4691⊘))=⊺⇮0","reverse_text":"⊺⇮0=↽≂(↯⪼(⊺⇮2756⪘⫢⊺⇮3103))⪘⫢(⪲⇎(⊺⇮4691⊘))","cot":[{"info":"⊺⇮2756⪘⫢⊺⇮3103=⊺⇮5388","layer":3},{"info":"↯⪼⊺⇮5388=⊺⇮-21","layer":2},{"info":"⊺⇮4691⊘=⊺⇮0","layer":3},{"info":"⪲⇎⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮-21⪘⫢⊺⇮0=⊺⇮0","layer":1},{"info":"↽≂⊺⇮0=⊺⇮0","layer":0}]}
{"id":568,"expression_no_base_symbol":"($1130$⪮%⊝$1479$∀⇚≩$3165$⨪↰⇹$4934$⨵⪆(⇁⨣⪵(↣≠⋷$2260$)))∸","expression":"(⊺⇮1130⪮%⊝⊺⇮1479∀⇚≩⊺⇮3165⨪↰⇹⊺⇮4934⨵⪆(⇁⨣⪵(↣≠⋷⊺⇮2260)))∸","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":21388,"operation_count":7,"complexity_ratio":3055.4285714285716,"tree":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1130,"base":10},"right_expr":{"type":"numeric_atoms","value":1479,"base":10}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3165,"base":10},"right_expr":{"type":"numeric_atoms","value":4934,"base":10}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2260,"base":10}}}}},"used_operators":["o20kRiQErp","2DQ55sFlQl","LRNGc0VcxI","IWmyXbctLI","tmPS8pqC7x","inkyxCbjAn","Asc51vEJeQ"],"dependent_operators":["tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rJVOvQCfKK","B5M0gjZbta","XhwjNDsVaA","AHs5Up7iyr"],"result":"⊺⇮177","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=1130","layer":4},{"info":"number node, value=1479","layer":4},{"info":"compute binary expreesion, left_input=1130, right_input=1479, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2576","layer":3},{"info":"number node, value=3165","layer":4},{"info":"number node, value=4934","layer":4},{"info":"compute binary expreesion, left_input=3165, right_input=4934, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3165","layer":3},{"info":"compute binary expreesion, left_input=2576, right_input=3165, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=2260","layer":4},{"info":"compute unary expreesion, input=2260, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍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 = 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 = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1130⪮%⊝⊺⇮1479∀⇚≩⊺⇮3165⨪↰⇹⊺⇮4934⨵⪆(⇁⨣⪵(↣≠⋷⊺⇮2260)))∸=⊺⇮177","reverse_text":"⊺⇮177=(⊺⇮1130⪮%⊝⊺⇮1479∀⇚≩⊺⇮3165⨪↰⇹⊺⇮4934⨵⪆(⇁⨣⪵(↣≠⋷⊺⇮2260)))∸","cot":[{"info":"⊺⇮1130⪮%⊝⊺⇮1479=⊺⇮2576","layer":3},{"info":"⊺⇮3165⨪↰⇹⊺⇮4934=⊺⇮3165","layer":3},{"info":"⊺⇮2576∀⇚≩⊺⇮3165=NaN","layer":2},{"info":"↣≠⋷⊺⇮2260=NaN","layer":3},{"info":"⇁⨣⪵NaN=NaN","layer":2},{"info":"NaN⨵⪆NaN=⊺⇮160","layer":1},{"info":"⊺⇮160∸=⊺⇮177","layer":0}]}
{"id":569,"expression_no_base_symbol":"(↥(⊙↵-$7023$))∀⇚≩(⨵≀≌($3527$⩤))⇼⇔∾(⋗⩬⋾$1025$≭$5844$)⩚⊴⇥((⊄⩳↩$2409$)⊦⊿)","expression":"(↥(⊙↵-⊺⇮7023))∀⇚≩(⨵≀≌(⊺⇮3527⩤))⇼⇔∾(⋗⩬⋾⊺⇮1025≭⊺⇮5844)⩚⊴⇥((⊄⩳↩⊺⇮2409)⊦⊿)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":10971,"operation_count":11,"complexity_ratio":997.3636363636364,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":7023,"base":10}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":3527,"base":10}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1025,"base":10},"right_expr":{"type":"numeric_atoms","value":5844,"base":10}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":2409,"base":10}}}}},"used_operators":["tifHPKVTfV","LRNGc0VcxI","A8NUZmVepG","oWn0xqSxBt","srAu1WTS94","Z2TMIBDE3Q","NTOWxs364D","DpFCA1CohY","rxpJgHHUmx","14qkJME0vr","8w2t5hMYqp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","k8jYdgA6NY","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7023","layer":4},{"info":"compute unary expreesion, input=7023, 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 = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=50","layer":2},{"info":"number node, value=3527","layer":4},{"info":"compute unary expreesion, input=3527, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-3527","layer":3},{"info":"compute unary expreesion, input=-3527, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=12439729","layer":2},{"info":"compute binary expreesion, left_input=50, right_input=12439729, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1025","layer":4},{"info":"number node, value=5844","layer":4},{"info":"compute binary expreesion, left_input=1025, right_input=5844, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=2409","layer":4},{"info":"compute unary expreesion, input=2409, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-7227","layer":3},{"info":"compute unary expreesion, input=-7227, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=21602","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=21602, 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 = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(↥(⊙↵-⊺⇮7023))∀⇚≩(⨵≀≌(⊺⇮3527⩤))⇼⇔∾(⋗⩬⋾⊺⇮1025≭⊺⇮5844)⩚⊴⇥((⊄⩳↩⊺⇮2409)⊦⊿)=NaN","reverse_text":"NaN=(↥(⊙↵-⊺⇮7023))∀⇚≩(⨵≀≌(⊺⇮3527⩤))⇼⇔∾(⋗⩬⋾⊺⇮1025≭⊺⇮5844)⩚⊴⇥((⊄⩳↩⊺⇮2409)⊦⊿)","cot":[{"info":"⊙↵-⊺⇮7023=⊺⇮-1","layer":3},{"info":"↥⊺⇮-1=⊺⇮50","layer":2},{"info":"⊺⇮3527⩤=⊺⇮-3527","layer":3},{"info":"⨵≀≌⊺⇮-3527=⊺⇮12439729","layer":2},{"info":"⊺⇮50∀⇚≩⊺⇮12439729=NaN","layer":1},{"info":"⊺⇮1025≭⊺⇮5844=NaN","layer":3},{"info":"⋗⩬⋾NaN=NaN","layer":2},{"info":"⊄⩳↩⊺⇮2409=⊺⇮-7227","layer":3},{"info":"⊺⇮-7227⊦⊿=⊺⇮21602","layer":2},{"info":"NaN⩚⊴⇥⊺⇮21602=NaN","layer":1},{"info":"NaN⇼⇔∾NaN=NaN","layer":0}]}
{"id":570,"expression_no_base_symbol":"($1758$↬$2291$%$2924$∲⫓$1730$)⪢($1721$↬$1367$⊦⊿)∑⇟⊟($4288$≎⊠⪸$3602$⫥∨⫟($2654$⫡⨏$3814$)↺($1777$↺$4470$)⇷$1794$∀⇚≩$5545$)","expression":"(⊺⇮1758↬⊺⇮2291%⊺⇮2924∲⫓⊺⇮1730)⪢(⊺⇮1721↬⊺⇮1367⊦⊿)∑⇟⊟(⊺⇮4288≎⊠⪸⊺⇮3602⫥∨⫟(⊺⇮2654⫡⨏⊺⇮3814)↺(⊺⇮1777↺⊺⇮4470)⇷⊺⇮1794∀⇚≩⊺⇮5545)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":75592,"operation_count":14,"complexity_ratio":5399.428571428572,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1758,"base":10},"right_expr":{"type":"numeric_atoms","value":2291,"base":10}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2924,"base":10},"right_expr":{"type":"numeric_atoms","value":1730,"base":10}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1721,"base":10},"right_expr":{"type":"numeric_atoms","value":1367,"base":10}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4288,"base":10},"right_expr":{"type":"numeric_atoms","value":3602,"base":10}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2654,"base":10},"right_expr":{"type":"numeric_atoms","value":3814,"base":10}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1777,"base":10},"right_expr":{"type":"numeric_atoms","value":4470,"base":10}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1794,"base":10},"right_expr":{"type":"numeric_atoms","value":5545,"base":10}}}}},"used_operators":["U7g4x0WXJJ","dWAJyo7jo9","k8jYdgA6NY","B5M0gjZbta","i8ToyICDmI","14qkJME0vr","7j4O788W3g","KYD54nUTWz","bJkvcejdHO","QMFrweE19q","mp7IySMOzn","LRNGc0VcxI"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","k8jYdgA6NY","rysDP5nf3Z","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1758","layer":4},{"info":"number node, value=2291","layer":4},{"info":"compute binary expreesion, left_input=1758, right_input=2291, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=2924","layer":4},{"info":"number node, value=1730","layer":4},{"info":"compute binary expreesion, left_input=2924, right_input=1730, 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=1721","layer":4},{"info":"number node, value=1367","layer":4},{"info":"compute binary expreesion, left_input=1721, right_input=1367, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = 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 = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=4288","layer":4},{"info":"number node, value=3602","layer":4},{"info":"compute binary expreesion, left_input=4288, right_input=3602, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1110119","layer":3},{"info":"number node, value=2654","layer":4},{"info":"number node, value=3814","layer":4},{"info":"compute binary expreesion, left_input=2654, right_input=3814, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=21681","layer":3},{"info":"compute binary expreesion, left_input=1110119, right_input=21681, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1777","layer":4},{"info":"number node, value=4470","layer":4},{"info":"compute binary expreesion, left_input=1777, right_input=4470, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4470","layer":3},{"info":"number node, value=1794","layer":4},{"info":"number node, value=5545","layer":4},{"info":"compute binary expreesion, left_input=1794, right_input=5545, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=4470, 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 = 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 = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1758↬⊺⇮2291%⊺⇮2924∲⫓⊺⇮1730)⪢(⊺⇮1721↬⊺⇮1367⊦⊿)∑⇟⊟(⊺⇮4288≎⊠⪸⊺⇮3602⫥∨⫟(⊺⇮2654⫡⨏⊺⇮3814)↺(⊺⇮1777↺⊺⇮4470)⇷⊺⇮1794∀⇚≩⊺⇮5545)=NaN","reverse_text":"NaN=(⊺⇮1758↬⊺⇮2291%⊺⇮2924∲⫓⊺⇮1730)⪢(⊺⇮1721↬⊺⇮1367⊦⊿)∑⇟⊟(⊺⇮4288≎⊠⪸⊺⇮3602⫥∨⫟(⊺⇮2654⫡⨏⊺⇮3814)↺(⊺⇮1777↺⊺⇮4470)⇷⊺⇮1794∀⇚≩⊺⇮5545)","cot":[{"info":"⊺⇮1758↬⊺⇮2291=NaN","layer":3},{"info":"⊺⇮2924∲⫓⊺⇮1730=⊺⇮0","layer":3},{"info":"NaN%⊺⇮0=NaN","layer":2},{"info":"⊺⇮1721↬⊺⇮1367=NaN","layer":3},{"info":"NaN⊦⊿=NaN","layer":2},{"info":"NaN⪢NaN=NaN","layer":1},{"info":"⊺⇮4288≎⊠⪸⊺⇮3602=⊺⇮1110119","layer":3},{"info":"⊺⇮2654⫡⨏⊺⇮3814=⊺⇮21681","layer":3},{"info":"⊺⇮1110119⫥∨⫟⊺⇮21681=NaN","layer":2},{"info":"⊺⇮1777↺⊺⇮4470=⊺⇮4470","layer":3},{"info":"⊺⇮1794∀⇚≩⊺⇮5545=NaN","layer":3},{"info":"⊺⇮4470⇷NaN=NaN","layer":2},{"info":"NaN↺NaN=NaN","layer":1},{"info":"NaN∑⇟⊟NaN=NaN","layer":0}]}
{"id":571,"expression_no_base_symbol":"((⊥$1025$)⫩⊇)⩷∴($1547$⨽$3085$⫡⨏$7245$%$3417$)⊠≄⫣","expression":"((⊥⊺⇮1025)⫩⊇)⩷∴(⊺⇮1547⨽⊺⇮3085⫡⨏⊺⇮7245%⊺⇮3417)⊠≄⫣","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1577,"operation_count":7,"complexity_ratio":225.28571428571428,"tree":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1025,"base":10}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1547,"base":10},"right_expr":{"type":"numeric_atoms","value":3085,"base":10}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":7245,"base":10},"right_expr":{"type":"numeric_atoms","value":3417,"base":10}}}}},"used_operators":["DIvbN7qnHd","9FxExcQeMw","BjRHVeLaeN","Q3PJZHRvZv","QMFrweE19q","8HhzD0ZcuI","k8jYdgA6NY"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1025","layer":4},{"info":"compute unary expreesion, input=1025, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘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":"number node, value=1547","layer":4},{"info":"number node, value=3085","layer":4},{"info":"compute binary expreesion, left_input=1547, right_input=3085, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-7187568","layer":3},{"info":"number node, value=7245","layer":4},{"info":"number node, value=3417","layer":4},{"info":"compute binary expreesion, left_input=7245, right_input=3417, op_id = k8jYdgA6NY binary_op_definition= 'None', output=411","layer":3},{"info":"compute binary expreesion, left_input=-7187568, right_input=411, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-35936235","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-35936235, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊥⊺⇮1025)⫩⊇)⩷∴(⊺⇮1547⨽⊺⇮3085⫡⨏⊺⇮7245%⊺⇮3417)⊠≄⫣=NaN","reverse_text":"NaN=((⊥⊺⇮1025)⫩⊇)⩷∴(⊺⇮1547⨽⊺⇮3085⫡⨏⊺⇮7245%⊺⇮3417)⊠≄⫣","cot":[{"info":"⊥⊺⇮1025=NaN","layer":3},{"info":"NaN⫩⊇=NaN","layer":2},{"info":"⊺⇮1547⨽⊺⇮3085=⊺⇮-7187568","layer":3},{"info":"⊺⇮7245%⊺⇮3417=⊺⇮411","layer":3},{"info":"⊺⇮-7187568⫡⨏⊺⇮411=⊺⇮-35936235","layer":2},{"info":"NaN⩷∴⊺⇮-35936235=NaN","layer":1},{"info":"NaN⊠≄⫣=NaN","layer":0}]}
{"id":572,"expression_no_base_symbol":"∂(($1787$⩨$2321$/$2210$⊉≛↸$7058$)⫸⊐(↩$1304$⋝⋈⪟$4945$))","expression":"∂((⊺⇮1787⩨⊺⇮2321/⊺⇮2210⊉≛↸⊺⇮7058)⫸⊐(↩⊺⇮1304⋝⋈⪟⊺⇮4945))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":31,"operation_count":7,"complexity_ratio":4.428571428571429,"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":1787,"base":10},"right_expr":{"type":"numeric_atoms","value":2321,"base":10}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2210,"base":10},"right_expr":{"type":"numeric_atoms","value":7058,"base":10}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1304,"base":10},"right_expr":{"type":"numeric_atoms","value":4945,"base":10}}}}},"used_operators":["Uaa54Peajs","mqXw5SEYmG","XhwjNDsVaA","2DlMacCsIx","DZ8iAZOCBD","jLgFTUHLKL","2DDjHMKMc0"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1787","layer":4},{"info":"number node, value=2321","layer":4},{"info":"compute binary expreesion, left_input=1787, right_input=2321, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=2210","layer":4},{"info":"number node, value=7058","layer":4},{"info":"compute binary expreesion, left_input=2210, right_input=7058, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4420","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=4420, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":2},{"info":"number node, value=1304","layer":4},{"info":"number node, value=4945","layer":4},{"info":"compute binary expreesion, left_input=1304, right_input=4945, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1304","layer":3},{"info":"compute unary expreesion, input=1304, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-7652","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=-7652, 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":1},{"info":"compute unary expreesion, input=483, 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":10,"result_base":10,"text":"∂((⊺⇮1787⩨⊺⇮2321/⊺⇮2210⊉≛↸⊺⇮7058)⫸⊐(↩⊺⇮1304⋝⋈⪟⊺⇮4945))=NaN","reverse_text":"NaN=∂((⊺⇮1787⩨⊺⇮2321/⊺⇮2210⊉≛↸⊺⇮7058)⫸⊐(↩⊺⇮1304⋝⋈⪟⊺⇮4945))","cot":[{"info":"⊺⇮1787⩨⊺⇮2321=⊺⇮-3","layer":3},{"info":"⊺⇮2210⊉≛↸⊺⇮7058=⊺⇮4420","layer":3},{"info":"⊺⇮-3/⊺⇮4420=⊺⇮-1","layer":2},{"info":"⊺⇮1304⋝⋈⪟⊺⇮4945=⊺⇮1304","layer":3},{"info":"↩⊺⇮1304=⊺⇮-7652","layer":2},{"info":"⊺⇮-1⫸⊐⊺⇮-7652=⊺⇮483","layer":1},{"info":"∂⊺⇮483=NaN","layer":0}]}
{"id":573,"expression_no_base_symbol":"(↩$2783$⋓$5249$⋥≓≎($1080$⫡⨏$1371$))⊭↱(($6612$*$4216$)⊴($2252$↬$1548$)-($1416$/$3094$)≧⫂∧$5095$⨓$5691$)","expression":"(↩⊺⇮2783⋓⊺⇮5249⋥≓≎(⊺⇮1080⫡⨏⊺⇮1371))⊭↱((⊺⇮6612*⊺⇮4216)⊴(⊺⇮2252↬⊺⇮1548)-(⊺⇮1416/⊺⇮3094)≧⫂∧⊺⇮5095⨓⊺⇮5691)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":9971,"operation_count":12,"complexity_ratio":830.9166666666666,"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":2783,"base":10},"right_expr":{"type":"numeric_atoms","value":5249,"base":10}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1080,"base":10},"right_expr":{"type":"numeric_atoms","value":1371,"base":10}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":6612,"base":10},"right_expr":{"type":"numeric_atoms","value":4216,"base":10}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2252,"base":10},"right_expr":{"type":"numeric_atoms","value":1548,"base":10}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1416,"base":10},"right_expr":{"type":"numeric_atoms","value":3094,"base":10}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":5095,"base":10},"right_expr":{"type":"numeric_atoms","value":5691,"base":10}}}}},"used_operators":["COABgblf1C","jLgFTUHLKL","Qy55tPpLXF","T2fj7uvVaJ","QMFrweE19q","rysDP5nf3Z","Nsiff2A1zJ","9HNa5Wba9A","B5M0gjZbta","Ph9nP6C5qx","XhwjNDsVaA","3ViojmjbAp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2783","layer":4},{"info":"number node, value=5249","layer":4},{"info":"compute binary expreesion, left_input=2783, right_input=5249, op_id = T2fj7uvVaJ binary_op_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=1080","layer":4},{"info":"number node, value=1371","layer":4},{"info":"compute binary expreesion, left_input=1080, right_input=1371, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=8925","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=8925, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=17883","layer":2},{"info":"compute unary expreesion, input=17883, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-140284","layer":1},{"info":"number node, value=6612","layer":4},{"info":"number node, value=4216","layer":4},{"info":"compute binary expreesion, left_input=6612, right_input=4216, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=27876192","layer":3},{"info":"number node, value=2252","layer":4},{"info":"number node, value=1548","layer":4},{"info":"compute binary expreesion, left_input=2252, right_input=1548, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=27876192, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=1416","layer":4},{"info":"number node, value=3094","layer":4},{"info":"compute binary expreesion, left_input=1416, right_input=3094, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=5095","layer":4},{"info":"number node, value=5691","layer":4},{"info":"compute binary expreesion, left_input=5095, right_input=5691, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5694","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-5694, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5694","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5694, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-140284, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(↩⊺⇮2783⋓⊺⇮5249⋥≓≎(⊺⇮1080⫡⨏⊺⇮1371))⊭↱((⊺⇮6612*⊺⇮4216)⊴(⊺⇮2252↬⊺⇮1548)-(⊺⇮1416/⊺⇮3094)≧⫂∧⊺⇮5095⨓⊺⇮5691)=NaN","reverse_text":"NaN=(↩⊺⇮2783⋓⊺⇮5249⋥≓≎(⊺⇮1080⫡⨏⊺⇮1371))⊭↱((⊺⇮6612*⊺⇮4216)⊴(⊺⇮2252↬⊺⇮1548)-(⊺⇮1416/⊺⇮3094)≧⫂∧⊺⇮5095⨓⊺⇮5691)","cot":[{"info":"⊺⇮2783⋓⊺⇮5249=⊺⇮0","layer":3},{"info":"⊺⇮1080⫡⨏⊺⇮1371=⊺⇮8925","layer":3},{"info":"⊺⇮0⋥≓≎⊺⇮8925=⊺⇮17883","layer":2},{"info":"↩⊺⇮17883=⊺⇮-140284","layer":1},{"info":"⊺⇮6612*⊺⇮4216=⊺⇮27876192","layer":3},{"info":"⊺⇮2252↬⊺⇮1548=NaN","layer":3},{"info":"⊺⇮27876192⊴NaN=NaN","layer":2},{"info":"⊺⇮1416/⊺⇮3094=⊺⇮0","layer":3},{"info":"⊺⇮5095⨓⊺⇮5691=⊺⇮-5694","layer":3},{"info":"⊺⇮0≧⫂∧⊺⇮-5694=⊺⇮5694","layer":2},{"info":"NaN-⊺⇮5694=NaN","layer":1},{"info":"⊺⇮-140284⊭↱NaN=NaN","layer":0}]}
{"id":574,"expression_no_base_symbol":"($1562$∼$3832$⨸⪁($6062$⫩⊇))⪛((⨈⫕$1443$)⨐⩸⫘($3302$*$5316$))⪘⫢(≦∁$2115$≭$3931$)⪘⫢($2736$⋥≓≎$1971$⪄(⋗⩬⋾$2916$))","expression":"(⊺⇮1562∼⊺⇮3832⨸⪁(⊺⇮6062⫩⊇))⪛((⨈⫕⊺⇮1443)⨐⩸⫘(⊺⇮3302*⊺⇮5316))⪘⫢(≦∁⊺⇮2115≭⊺⇮3931)⪘⫢(⊺⇮2736⋥≓≎⊺⇮1971⪄(⋗⩬⋾⊺⇮2916))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3851,"operation_count":14,"complexity_ratio":275.07142857142856,"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":1562,"base":10},"right_expr":{"type":"numeric_atoms","value":3832,"base":10}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":6062,"base":10}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1443,"base":10}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3302,"base":10},"right_expr":{"type":"numeric_atoms","value":5316,"base":10}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2115,"base":10},"right_expr":{"type":"numeric_atoms","value":3931,"base":10}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2736,"base":10},"right_expr":{"type":"numeric_atoms","value":1971,"base":10}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":2916,"base":10}}}}},"used_operators":["oacrs7FA3X","uFcxV4UQCh","g55IO6H4Gj","DyGG3AbaNP","BjRHVeLaeN","fu6greOZ01","megm06wKyl","9HNa5Wba9A","9ICcGScMcE","rxpJgHHUmx","SUmda5xLS4","Qy55tPpLXF","DpFCA1CohY"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","AHs5Up7iyr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1562","layer":4},{"info":"number node, value=3832","layer":4},{"info":"compute binary expreesion, left_input=1562, right_input=3832, 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=6062","layer":4},{"info":"compute unary expreesion, input=6062, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-6020","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6020, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"number node, value=1443","layer":4},{"info":"compute unary expreesion, input=1443, 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=3302","layer":4},{"info":"number node, value=5316","layer":4},{"info":"compute binary expreesion, left_input=3302, right_input=5316, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=17553432","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=17553432, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"number node, value=2115","layer":4},{"info":"number node, value=3931","layer":4},{"info":"compute binary expreesion, left_input=2115, right_input=3931, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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 = 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=2736","layer":4},{"info":"number node, value=1971","layer":4},{"info":"compute binary expreesion, left_input=2736, right_input=1971, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1239","layer":3},{"info":"number node, value=2916","layer":4},{"info":"compute unary expreesion, input=2916, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-8748","layer":3},{"info":"compute binary expreesion, left_input=1239, right_input=-8748, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-144469","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-144469, 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 = 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":10,"result_base":10,"text":"(⊺⇮1562∼⊺⇮3832⨸⪁(⊺⇮6062⫩⊇))⪛((⨈⫕⊺⇮1443)⨐⩸⫘(⊺⇮3302*⊺⇮5316))⪘⫢(≦∁⊺⇮2115≭⊺⇮3931)⪘⫢(⊺⇮2736⋥≓≎⊺⇮1971⪄(⋗⩬⋾⊺⇮2916))=NaN","reverse_text":"NaN=(⊺⇮1562∼⊺⇮3832⨸⪁(⊺⇮6062⫩⊇))⪛((⨈⫕⊺⇮1443)⨐⩸⫘(⊺⇮3302*⊺⇮5316))⪘⫢(≦∁⊺⇮2115≭⊺⇮3931)⪘⫢(⊺⇮2736⋥≓≎⊺⇮1971⪄(⋗⩬⋾⊺⇮2916))","cot":[{"info":"⊺⇮1562∼⊺⇮3832=NaN","layer":3},{"info":"⊺⇮6062⫩⊇=⊺⇮-6020","layer":3},{"info":"NaN⨸⪁⊺⇮-6020=NaN","layer":2},{"info":"⨈⫕⊺⇮1443=⊺⇮-21","layer":3},{"info":"⊺⇮3302*⊺⇮5316=⊺⇮17553432","layer":3},{"info":"⊺⇮-21⨐⩸⫘⊺⇮17553432=NaN","layer":2},{"info":"NaN⪛NaN=NaN","layer":1},{"info":"⊺⇮2115≭⊺⇮3931=NaN","layer":3},{"info":"≦∁NaN=NaN","layer":2},{"info":"⊺⇮2736⋥≓≎⊺⇮1971=⊺⇮1239","layer":3},{"info":"⋗⩬⋾⊺⇮2916=⊺⇮-8748","layer":3},{"info":"⊺⇮1239⪄⊺⇮-8748=⊺⇮-144469","layer":2},{"info":"NaN⪘⫢⊺⇮-144469=NaN","layer":1},{"info":"NaN⪘⫢NaN=NaN","layer":0}]}
{"id":575,"expression_no_base_symbol":"($2942$⋷$2218$)⨪↰⇹$1306$⨪↰⇹$5370$⨽$1968$⨟⋌⩍$1682$⪘⫢($1640$%$7676$)⪐","expression":"(⊺⇮2942⋷⊺⇮2218)⨪↰⇹⊺⇮1306⨪↰⇹⊺⇮5370⨽⊺⇮1968⨟⋌⩍⊺⇮1682⪘⫢(⊺⇮1640%⊺⇮7676)⪐","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4319,"operation_count":8,"complexity_ratio":539.875,"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":2942,"base":10},"right_expr":{"type":"numeric_atoms","value":2218,"base":10}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1306,"base":10},"right_expr":{"type":"numeric_atoms","value":5370,"base":10}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1968,"base":10},"right_expr":{"type":"numeric_atoms","value":1682,"base":10}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1640,"base":10},"right_expr":{"type":"numeric_atoms","value":7676,"base":10}}}}},"used_operators":["eH2TOUuTDT","8HhzD0ZcuI","tmPS8pqC7x","23Mk6UjR3U","oacrs7FA3X","rGHVDoGpnC","k8jYdgA6NY"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","Tcnh7f0tEr","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=2942","layer":4},{"info":"number node, value=2218","layer":4},{"info":"compute binary expreesion, left_input=2942, right_input=2218, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1494","layer":3},{"info":"number node, value=1306","layer":4},{"info":"number node, value=5370","layer":4},{"info":"compute binary expreesion, left_input=1306, right_input=5370, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1306","layer":3},{"info":"compute binary expreesion, left_input=1494, right_input=1306, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1494","layer":2},{"info":"number node, value=1968","layer":4},{"info":"number node, value=1682","layer":4},{"info":"compute binary expreesion, left_input=1968, right_input=1682, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1640","layer":4},{"info":"number node, value=7676","layer":4},{"info":"compute binary expreesion, left_input=1640, right_input=7676, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1640","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1640, 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=1494, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮2942⋷⊺⇮2218)⨪↰⇹⊺⇮1306⨪↰⇹⊺⇮5370⨽⊺⇮1968⨟⋌⩍⊺⇮1682⪘⫢(⊺⇮1640%⊺⇮7676)⪐=NaN","reverse_text":"NaN=(⊺⇮2942⋷⊺⇮2218)⨪↰⇹⊺⇮1306⨪↰⇹⊺⇮5370⨽⊺⇮1968⨟⋌⩍⊺⇮1682⪘⫢(⊺⇮1640%⊺⇮7676)⪐","cot":[{"info":"⊺⇮2942⋷⊺⇮2218=⊺⇮1494","layer":3},{"info":"⊺⇮1306⨪↰⇹⊺⇮5370=⊺⇮1306","layer":3},{"info":"⊺⇮1494⨪↰⇹⊺⇮1306=⊺⇮1494","layer":2},{"info":"⊺⇮1968⨟⋌⩍⊺⇮1682=NaN","layer":3},{"info":"⊺⇮1640%⊺⇮7676=⊺⇮1640","layer":3},{"info":"NaN⪘⫢⊺⇮1640=NaN","layer":2},{"info":"⊺⇮1494⨽NaN=NaN","layer":1},{"info":"NaN⪐=NaN","layer":0}]}
{"id":576,"expression_no_base_symbol":"(($1058$≭$1657$⫡⨏$1985$⋳⪒$1320$)⊭∹↮)+(($3559$⩷∴$1972$)∼($2799$⨁⊸⫻)⋷(⨰⫟⨤($2430$*$3402$)))","expression":"((⊺⇮1058≭⊺⇮1657⫡⨏⊺⇮1985⋳⪒⊺⇮1320)⊭∹↮)+((⊺⇮3559⩷∴⊺⇮1972)∼(⊺⇮2799⨁⊸⫻)⋷(⨰⫟⨤(⊺⇮2430*⊺⇮3402)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":16535406,"operation_count":11,"complexity_ratio":1503218.7272727273,"tree":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1058,"base":10},"right_expr":{"type":"numeric_atoms","value":1657,"base":10}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1985,"base":10},"right_expr":{"type":"numeric_atoms","value":1320,"base":10}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3559,"base":10},"right_expr":{"type":"numeric_atoms","value":1972,"base":10}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":2799,"base":10}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2430,"base":10},"right_expr":{"type":"numeric_atoms","value":3402,"base":10}}}}},"used_operators":["W4YGzv6Whe","xNBdhnnwKq","QMFrweE19q","rxpJgHHUmx","12rbrZMWeM","23Mk6UjR3U","DyGG3AbaNP","9FxExcQeMw","glklzrTFfD","Tw270M8GLb","9HNa5Wba9A"],"dependent_operators":["2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1058","layer":4},{"info":"number node, value=1657","layer":4},{"info":"compute binary expreesion, left_input=1058, right_input=1657, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=1985","layer":4},{"info":"number node, value=1320","layer":4},{"info":"compute binary expreesion, left_input=1985, right_input=1320, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2363","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2363, op_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":"number node, value=3559","layer":4},{"info":"number node, value=1972","layer":4},{"info":"compute binary expreesion, left_input=3559, right_input=1972, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=3142","layer":3},{"info":"number node, value=2799","layer":4},{"info":"compute unary expreesion, input=2799, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=2799","layer":3},{"info":"compute binary expreesion, left_input=3142, right_input=2799, 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=2430","layer":4},{"info":"number node, value=3402","layer":4},{"info":"compute binary expreesion, left_input=2430, right_input=3402, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=8266860","layer":3},{"info":"compute unary expreesion, input=8266860, 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 = 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 = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1058≭⊺⇮1657⫡⨏⊺⇮1985⋳⪒⊺⇮1320)⊭∹↮)+((⊺⇮3559⩷∴⊺⇮1972)∼(⊺⇮2799⨁⊸⫻)⋷(⨰⫟⨤(⊺⇮2430*⊺⇮3402)))=NaN","reverse_text":"NaN=((⊺⇮1058≭⊺⇮1657⫡⨏⊺⇮1985⋳⪒⊺⇮1320)⊭∹↮)+((⊺⇮3559⩷∴⊺⇮1972)∼(⊺⇮2799⨁⊸⫻)⋷(⨰⫟⨤(⊺⇮2430*⊺⇮3402)))","cot":[{"info":"⊺⇮1058≭⊺⇮1657=NaN","layer":3},{"info":"⊺⇮1985⋳⪒⊺⇮1320=⊺⇮2363","layer":3},{"info":"NaN⫡⨏⊺⇮2363=NaN","layer":2},{"info":"NaN⊭∹↮=NaN","layer":1},{"info":"⊺⇮3559⩷∴⊺⇮1972=⊺⇮3142","layer":3},{"info":"⊺⇮2799⨁⊸⫻=⊺⇮2799","layer":3},{"info":"⊺⇮3142∼⊺⇮2799=NaN","layer":2},{"info":"⊺⇮2430*⊺⇮3402=⊺⇮8266860","layer":3},{"info":"⨰⫟⨤⊺⇮8266860=NaN","layer":2},{"info":"NaN⋷NaN=NaN","layer":1},{"info":"NaN+NaN=NaN","layer":0}]}
{"id":577,"expression_no_base_symbol":"((⨞⊢$3798$≹⇙⪍$7569$)⨁⊸⫻)⇷($3183$∑⇟⊟$4137$⋝⋈⪟$5845$⪢$2292$⪨≂(($2735$⇋≉)⪨≂$2374$⋝⋈⪟$6784$))","expression":"((⨞⊢⊺⇮3798≹⇙⪍⊺⇮7569)⨁⊸⫻)⇷(⊺⇮3183∑⇟⊟⊺⇮4137⋝⋈⪟⊺⇮5845⪢⊺⇮2292⪨≂((⊺⇮2735⇋≉)⪨≂⊺⇮2374⋝⋈⪟⊺⇮6784))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3811,"operation_count":11,"complexity_ratio":346.45454545454544,"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":3798,"base":10},"right_expr":{"type":"numeric_atoms","value":7569,"base":10}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3183,"base":10},"right_expr":{"type":"numeric_atoms","value":4137,"base":10}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":5845,"base":10},"right_expr":{"type":"numeric_atoms","value":2292,"base":10}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":2735,"base":10}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2374,"base":10},"right_expr":{"type":"numeric_atoms","value":6784,"base":10}}}}},"used_operators":["mp7IySMOzn","glklzrTFfD","xUOZtlo3hN","AHs5Up7iyr","sdazOOVcIp","2DDjHMKMc0","U7g4x0WXJJ","dWAJyo7jo9","XIabStNQrY"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=3798","layer":4},{"info":"number node, value=7569","layer":4},{"info":"compute binary expreesion, left_input=3798, right_input=7569, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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 = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=nan","layer":1},{"info":"number node, value=3183","layer":4},{"info":"number node, value=4137","layer":4},{"info":"compute binary expreesion, left_input=3183, right_input=4137, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=5845","layer":4},{"info":"number node, value=2292","layer":4},{"info":"compute binary expreesion, left_input=5845, right_input=2292, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=2735","layer":4},{"info":"compute unary expreesion, input=2735, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=5372","layer":3},{"info":"number node, value=2374","layer":4},{"info":"number node, value=6784","layer":4},{"info":"compute binary expreesion, left_input=2374, right_input=6784, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2374","layer":3},{"info":"compute binary expreesion, left_input=5372, right_input=2374, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=6098","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=6098, op_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 = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⨞⊢⊺⇮3798≹⇙⪍⊺⇮7569)⨁⊸⫻)⇷(⊺⇮3183∑⇟⊟⊺⇮4137⋝⋈⪟⊺⇮5845⪢⊺⇮2292⪨≂((⊺⇮2735⇋≉)⪨≂⊺⇮2374⋝⋈⪟⊺⇮6784))=NaN","reverse_text":"NaN=((⨞⊢⊺⇮3798≹⇙⪍⊺⇮7569)⨁⊸⫻)⇷(⊺⇮3183∑⇟⊟⊺⇮4137⋝⋈⪟⊺⇮5845⪢⊺⇮2292⪨≂((⊺⇮2735⇋≉)⪨≂⊺⇮2374⋝⋈⪟⊺⇮6784))","cot":[{"info":"⊺⇮3798≹⇙⪍⊺⇮7569=NaN","layer":3},{"info":"⨞⊢NaN=NaN","layer":2},{"info":"NaN⨁⊸⫻=NaN","layer":1},{"info":"⊺⇮3183∑⇟⊟⊺⇮4137=NaN","layer":3},{"info":"⊺⇮5845⪢⊺⇮2292=NaN","layer":3},{"info":"NaN⋝⋈⪟NaN=NaN","layer":2},{"info":"⊺⇮2735⇋≉=⊺⇮5372","layer":3},{"info":"⊺⇮2374⋝⋈⪟⊺⇮6784=⊺⇮2374","layer":3},{"info":"⊺⇮5372⪨≂⊺⇮2374=⊺⇮6098","layer":2},{"info":"NaN⪨≂⊺⇮6098=NaN","layer":1},{"info":"NaN⇷NaN=NaN","layer":0}]}
{"id":578,"expression_no_base_symbol":"⋗⩬⋾(($1277$⨳⩥⨓$1438$⋷$2296$⊭↱$2123$)↺($7094$/$3276$)⋥≓≎$1628$⋥≓≎$1566$)","expression":"⋗⩬⋾((⊺⇮1277⨳⩥⨓⊺⇮1438⋷⊺⇮2296⊭↱⊺⇮2123)↺(⊺⇮7094/⊺⇮3276)⋥≓≎⊺⇮1628⋥≓≎⊺⇮1566)","highest_n_order":2,"priority_hierarchical_complexity":4,"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":1277,"base":10},"right_expr":{"type":"numeric_atoms","value":1438,"base":10}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2296,"base":10},"right_expr":{"type":"numeric_atoms","value":2123,"base":10}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":7094,"base":10},"right_expr":{"type":"numeric_atoms","value":3276,"base":10}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1628,"base":10},"right_expr":{"type":"numeric_atoms","value":1566,"base":10}}}}},"used_operators":["DpFCA1CohY","7j4O788W3g","23Mk6UjR3U","nCS4ZIUYfx","COABgblf1C","Qy55tPpLXF","XhwjNDsVaA"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"⊺⇮-9315","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1277","layer":4},{"info":"number node, value=1438","layer":4},{"info":"compute binary expreesion, left_input=1277, right_input=1438, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=161","layer":3},{"info":"number node, value=2296","layer":4},{"info":"number node, value=2123","layer":4},{"info":"compute binary expreesion, left_input=2296, right_input=2123, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-341","layer":3},{"info":"compute binary expreesion, left_input=161, right_input=-341, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-322","layer":2},{"info":"number node, value=7094","layer":4},{"info":"number node, value=3276","layer":4},{"info":"compute binary expreesion, left_input=7094, right_input=3276, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"number node, value=1628","layer":4},{"info":"number node, value=1566","layer":4},{"info":"compute binary expreesion, left_input=1628, right_input=1566, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1537","layer":3},{"info":"compute binary expreesion, left_input=2, right_input=1537, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3105","layer":2},{"info":"compute binary expreesion, left_input=-322, right_input=3105, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3105","layer":1},{"info":"compute unary expreesion, input=3105, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-9315","layer":0}],"base":10,"result_base":10,"text":"⋗⩬⋾((⊺⇮1277⨳⩥⨓⊺⇮1438⋷⊺⇮2296⊭↱⊺⇮2123)↺(⊺⇮7094/⊺⇮3276)⋥≓≎⊺⇮1628⋥≓≎⊺⇮1566)=⊺⇮-9315","reverse_text":"⊺⇮-9315=⋗⩬⋾((⊺⇮1277⨳⩥⨓⊺⇮1438⋷⊺⇮2296⊭↱⊺⇮2123)↺(⊺⇮7094/⊺⇮3276)⋥≓≎⊺⇮1628⋥≓≎⊺⇮1566)","cot":[{"info":"⊺⇮1277⨳⩥⨓⊺⇮1438=⊺⇮161","layer":3},{"info":"⊺⇮2296⊭↱⊺⇮2123=⊺⇮-341","layer":3},{"info":"⊺⇮161⋷⊺⇮-341=⊺⇮-322","layer":2},{"info":"⊺⇮7094/⊺⇮3276=⊺⇮2","layer":3},{"info":"⊺⇮1628⋥≓≎⊺⇮1566=⊺⇮1537","layer":3},{"info":"⊺⇮2⋥≓≎⊺⇮1537=⊺⇮3105","layer":2},{"info":"⊺⇮-322↺⊺⇮3105=⊺⇮3105","layer":1},{"info":"⋗⩬⋾⊺⇮3105=⊺⇮-9315","layer":0}]}
{"id":579,"expression_no_base_symbol":"↩(-(⊄⩳↩$2446$))≹⇙⪍(($7031$⨳⩥⨓$3972$)⨽$2822$⨪↰⇹$2518$)","expression":"↩(-(⊄⩳↩⊺⇮2446))≹⇙⪍((⊺⇮7031⨳⩥⨓⊺⇮3972)⨽⊺⇮2822⨪↰⇹⊺⇮2518)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":5917,"operation_count":7,"complexity_ratio":845.2857142857143,"tree":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":2446,"base":10}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":7031,"base":10},"right_expr":{"type":"numeric_atoms","value":3972,"base":10}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2822,"base":10},"right_expr":{"type":"numeric_atoms","value":2518,"base":10}}}}},"used_operators":["jLgFTUHLKL","AHs5Up7iyr","t8gj7n24qd","8w2t5hMYqp","8HhzD0ZcuI","nCS4ZIUYfx","tmPS8pqC7x"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2446","layer":4},{"info":"compute unary expreesion, input=2446, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-7338","layer":3},{"info":"compute unary expreesion, input=-7338, op_id = t8gj7n24qd, unary_op_definition = 'None', output=7338","layer":2},{"info":"number node, value=7031","layer":4},{"info":"number node, value=3972","layer":4},{"info":"compute binary expreesion, left_input=7031, right_input=3972, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3059","layer":3},{"info":"number node, value=2822","layer":4},{"info":"number node, value=2518","layer":4},{"info":"compute binary expreesion, left_input=2822, right_input=2518, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2822","layer":3},{"info":"compute binary expreesion, left_input=-3059, right_input=2822, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-28079595","layer":2},{"info":"compute binary expreesion, left_input=7338, right_input=-28079595, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"↩(-(⊄⩳↩⊺⇮2446))≹⇙⪍((⊺⇮7031⨳⩥⨓⊺⇮3972)⨽⊺⇮2822⨪↰⇹⊺⇮2518)=NaN","reverse_text":"NaN=↩(-(⊄⩳↩⊺⇮2446))≹⇙⪍((⊺⇮7031⨳⩥⨓⊺⇮3972)⨽⊺⇮2822⨪↰⇹⊺⇮2518)","cot":[{"info":"⊄⩳↩⊺⇮2446=⊺⇮-7338","layer":3},{"info":"-⊺⇮-7338=⊺⇮7338","layer":2},{"info":"⊺⇮7031⨳⩥⨓⊺⇮3972=⊺⇮-3059","layer":3},{"info":"⊺⇮2822⨪↰⇹⊺⇮2518=⊺⇮2822","layer":3},{"info":"⊺⇮-3059⨽⊺⇮2822=⊺⇮-28079595","layer":2},{"info":"⊺⇮7338≹⇙⪍⊺⇮-28079595=NaN","layer":1},{"info":"↩NaN=NaN","layer":0}]}
{"id":580,"expression_no_base_symbol":"⫛⫱⨽(⪲⇎(⊥($1709$⨐⩸⫘$1393$)))","expression":"⫛⫱⨽(⪲⇎(⊥(⊺⇮1709⨐⩸⫘⊺⇮1393)))","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":916,"operation_count":4,"complexity_ratio":229.0,"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":1709,"base":10},"right_expr":{"type":"numeric_atoms","value":1393,"base":10}}}}},"used_operators":["DlLNRPXxWL","XPYlsWDdGa","Q3PJZHRvZv","fu6greOZ01"],"dependent_operators":["rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=1709","layer":4},{"info":"number node, value=1393","layer":4},{"info":"compute binary expreesion, left_input=1709, right_input=1393, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"compute 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 unary expreesion, input=nan, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⫛⫱⨽(⪲⇎(⊥(⊺⇮1709⨐⩸⫘⊺⇮1393)))=NaN","reverse_text":"NaN=⫛⫱⨽(⪲⇎(⊥(⊺⇮1709⨐⩸⫘⊺⇮1393)))","cot":[{"info":"⊺⇮1709⨐⩸⫘⊺⇮1393=NaN","layer":3},{"info":"⊥NaN=NaN","layer":2},{"info":"⪲⇎NaN=NaN","layer":1},{"info":"⫛⫱⨽NaN=NaN","layer":0}]}
{"id":581,"expression_no_base_symbol":"(∥⊫$3221$)⩷∴($2935$≭$1247$)⪨≂($4881$∲⫓$2930$)↺$4898$⋝⋈⪟$1659$⨵⪆(⇁⨣⪵$2310$)⋓($3976$⨐⩸⫘$1839$)⩷∴($2327$⨳⩥⨓$5101$)≹⇙⪍($7217$/$4373$)","expression":"(∥⊫⊺⇮3221)⩷∴(⊺⇮2935≭⊺⇮1247)⪨≂(⊺⇮4881∲⫓⊺⇮2930)↺⊺⇮4898⋝⋈⪟⊺⇮1659⨵⪆(⇁⨣⪵⊺⇮2310)⋓(⊺⇮3976⨐⩸⫘⊺⇮1839)⩷∴(⊺⇮2327⨳⩥⨓⊺⇮5101)≹⇙⪍(⊺⇮7217/⊺⇮4373)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2823,"operation_count":15,"complexity_ratio":188.2,"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":3221,"base":10}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2935,"base":10},"right_expr":{"type":"numeric_atoms","value":1247,"base":10}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4881,"base":10},"right_expr":{"type":"numeric_atoms","value":2930,"base":10}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4898,"base":10},"right_expr":{"type":"numeric_atoms","value":1659,"base":10}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2310,"base":10}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3976,"base":10},"right_expr":{"type":"numeric_atoms","value":1839,"base":10}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2327,"base":10},"right_expr":{"type":"numeric_atoms","value":5101,"base":10}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":7217,"base":10},"right_expr":{"type":"numeric_atoms","value":4373,"base":10}}}}},"used_operators":["2DQ55sFlQl","sdazOOVcIp","9FxExcQeMw","P8v4zCKN1o","rxpJgHHUmx","7j4O788W3g","i8ToyICDmI","2DDjHMKMc0","T2fj7uvVaJ","inkyxCbjAn","fu6greOZ01","AHs5Up7iyr","nCS4ZIUYfx","XhwjNDsVaA"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","B5M0gjZbta","3ViojmjbAp","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z"],"result":"⊺⇮160","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=3221","layer":4},{"info":"compute unary expreesion, input=3221, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4089","layer":3},{"info":"number node, value=2935","layer":4},{"info":"number node, value=1247","layer":4},{"info":"compute binary expreesion, left_input=2935, right_input=1247, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=4089, 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=4881","layer":4},{"info":"number node, value=2930","layer":4},{"info":"compute binary expreesion, left_input=4881, right_input=2930, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=4898","layer":4},{"info":"number node, value=1659","layer":4},{"info":"compute binary expreesion, left_input=4898, right_input=1659, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4898","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4898, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4898","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4898, op_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=2310","layer":4},{"info":"compute unary expreesion, input=2310, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=3976","layer":4},{"info":"number node, value=1839","layer":4},{"info":"compute binary expreesion, left_input=3976, right_input=1839, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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 = T2fj7uvVaJ 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=2327","layer":4},{"info":"number node, value=5101","layer":4},{"info":"compute binary expreesion, left_input=2327, right_input=5101, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2774","layer":3},{"info":"number node, value=7217","layer":4},{"info":"number node, value=4373","layer":4},{"info":"compute binary expreesion, left_input=7217, right_input=4373, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=2774, right_input=1, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=0","layer":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":"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":10,"result_base":10,"text":"(∥⊫⊺⇮3221)⩷∴(⊺⇮2935≭⊺⇮1247)⪨≂(⊺⇮4881∲⫓⊺⇮2930)↺⊺⇮4898⋝⋈⪟⊺⇮1659⨵⪆(⇁⨣⪵⊺⇮2310)⋓(⊺⇮3976⨐⩸⫘⊺⇮1839)⩷∴(⊺⇮2327⨳⩥⨓⊺⇮5101)≹⇙⪍(⊺⇮7217/⊺⇮4373)=⊺⇮160","reverse_text":"⊺⇮160=(∥⊫⊺⇮3221)⩷∴(⊺⇮2935≭⊺⇮1247)⪨≂(⊺⇮4881∲⫓⊺⇮2930)↺⊺⇮4898⋝⋈⪟⊺⇮1659⨵⪆(⇁⨣⪵⊺⇮2310)⋓(⊺⇮3976⨐⩸⫘⊺⇮1839)⩷∴(⊺⇮2327⨳⩥⨓⊺⇮5101)≹⇙⪍(⊺⇮7217/⊺⇮4373)","cot":[{"info":"∥⊫⊺⇮3221=⊺⇮4089","layer":3},{"info":"⊺⇮2935≭⊺⇮1247=NaN","layer":3},{"info":"⊺⇮4089⩷∴NaN=NaN","layer":2},{"info":"⊺⇮4881∲⫓⊺⇮2930=⊺⇮0","layer":3},{"info":"⊺⇮4898⋝⋈⪟⊺⇮1659=⊺⇮4898","layer":3},{"info":"⊺⇮0↺⊺⇮4898=⊺⇮4898","layer":2},{"info":"NaN⪨≂⊺⇮4898=NaN","layer":1},{"info":"⇁⨣⪵⊺⇮2310=NaN","layer":3},{"info":"⊺⇮3976⨐⩸⫘⊺⇮1839=NaN","layer":3},{"info":"NaN⋓NaN=NaN","layer":2},{"info":"⊺⇮2327⨳⩥⨓⊺⇮5101=⊺⇮2774","layer":3},{"info":"⊺⇮7217/⊺⇮4373=⊺⇮1","layer":3},{"info":"⊺⇮2774≹⇙⪍⊺⇮1=⊺⇮0","layer":2},{"info":"NaN⩷∴⊺⇮0=NaN","layer":1},{"info":"NaN⨵⪆NaN=⊺⇮160","layer":0}]}
{"id":582,"expression_no_base_symbol":"↽≂(≉($1037$⨎$1729$⨸⪁$5483$⩚⊴⇥$5135$))","expression":"↽≂(≉(⊺⇮1037⨎⊺⇮1729⨸⪁⊺⇮5483⩚⊴⇥⊺⇮5135))","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":11,"operation_count":5,"complexity_ratio":2.2,"tree":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1037,"base":10},"right_expr":{"type":"numeric_atoms","value":1729,"base":10}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":5483,"base":10},"right_expr":{"type":"numeric_atoms","value":5135,"base":10}}}}},"used_operators":["u6S6b8DprG","e1ybzncUwg","g55IO6H4Gj","rJVOvQCfKK","NTOWxs364D"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⊺⇮36040","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1037","layer":4},{"info":"number node, value=1729","layer":4},{"info":"compute binary expreesion, left_input=1037, right_input=1729, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1729","layer":3},{"info":"number node, value=5483","layer":4},{"info":"number node, value=5135","layer":4},{"info":"compute binary expreesion, left_input=5483, right_input=5135, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-10739","layer":3},{"info":"compute binary expreesion, left_input=1729, right_input=-10739, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-18020","layer":2},{"info":"compute unary expreesion, input=-18020, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-18020","layer":1},{"info":"compute unary expreesion, input=-18020, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=36040","layer":0}],"base":10,"result_base":10,"text":"↽≂(≉(⊺⇮1037⨎⊺⇮1729⨸⪁⊺⇮5483⩚⊴⇥⊺⇮5135))=⊺⇮36040","reverse_text":"⊺⇮36040=↽≂(≉(⊺⇮1037⨎⊺⇮1729⨸⪁⊺⇮5483⩚⊴⇥⊺⇮5135))","cot":[{"info":"⊺⇮1037⨎⊺⇮1729=⊺⇮1729","layer":3},{"info":"⊺⇮5483⩚⊴⇥⊺⇮5135=⊺⇮-10739","layer":3},{"info":"⊺⇮1729⨸⪁⊺⇮-10739=⊺⇮-18020","layer":2},{"info":"≉⊺⇮-18020=⊺⇮-18020","layer":1},{"info":"↽≂⊺⇮-18020=⊺⇮36040","layer":0}]}
{"id":583,"expression_no_base_symbol":"(($3548$⋷$3921$)⩚⊴⇥($1879$∧)⊭↱($6680$⋳⪒$3334$⩨(⫛⫱⨽$3915$)))⨰(($2125$/$6704$)⇷$5630$⪛$4540$⪒(⫛⫱⨽($2688$⫸⊐$3376$)))","expression":"((⊺⇮3548⋷⊺⇮3921)⩚⊴⇥(⊺⇮1879∧)⊭↱(⊺⇮6680⋳⪒⊺⇮3334⩨(⫛⫱⨽⊺⇮3915)))⨰((⊺⇮2125/⊺⇮6704)⇷⊺⇮5630⪛⊺⇮4540⪒(⫛⫱⨽(⊺⇮2688⫸⊐⊺⇮3376)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2918,"operation_count":14,"complexity_ratio":208.42857142857142,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3548,"base":10},"right_expr":{"type":"numeric_atoms","value":3921,"base":10}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1879,"base":10}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":6680,"base":10},"right_expr":{"type":"numeric_atoms","value":3334,"base":10}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":3915,"base":10}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2125,"base":10},"right_expr":{"type":"numeric_atoms","value":6704,"base":10}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":5630,"base":10},"right_expr":{"type":"numeric_atoms","value":4540,"base":10}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2688,"base":10},"right_expr":{"type":"numeric_atoms","value":3376,"base":10}}}}},"used_operators":["eewbuw0ToL","COABgblf1C","NTOWxs364D","23Mk6UjR3U","z63VuFQld9","2DlMacCsIx","12rbrZMWeM","DlLNRPXxWL","f6k1SAg4EE","mp7IySMOzn","XhwjNDsVaA","uFcxV4UQCh","mqXw5SEYmG"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3548","layer":4},{"info":"number node, value=3921","layer":4},{"info":"compute binary expreesion, left_input=3548, right_input=3921, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=4294","layer":3},{"info":"number node, value=1879","layer":4},{"info":"compute unary expreesion, input=1879, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4294, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"number node, value=6680","layer":4},{"info":"number node, value=3334","layer":4},{"info":"compute binary expreesion, left_input=6680, right_input=3334, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=9739","layer":3},{"info":"number node, value=3915","layer":4},{"info":"compute unary expreesion, input=3915, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=9739, 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=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=2125","layer":4},{"info":"number node, value=6704","layer":4},{"info":"compute binary expreesion, left_input=2125, right_input=6704, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=5630","layer":4},{"info":"number node, value=4540","layer":4},{"info":"compute binary expreesion, left_input=5630, right_input=4540, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1090","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1090, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2180","layer":2},{"info":"number node, value=2688","layer":4},{"info":"number node, value=3376","layer":4},{"info":"compute binary expreesion, left_input=2688, right_input=3376, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=13379","layer":3},{"info":"compute unary expreesion, input=13379, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=2180, right_input=0, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2180","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2180, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮3548⋷⊺⇮3921)⩚⊴⇥(⊺⇮1879∧)⊭↱(⊺⇮6680⋳⪒⊺⇮3334⩨(⫛⫱⨽⊺⇮3915)))⨰((⊺⇮2125/⊺⇮6704)⇷⊺⇮5630⪛⊺⇮4540⪒(⫛⫱⨽(⊺⇮2688⫸⊐⊺⇮3376)))=NaN","reverse_text":"NaN=((⊺⇮3548⋷⊺⇮3921)⩚⊴⇥(⊺⇮1879∧)⊭↱(⊺⇮6680⋳⪒⊺⇮3334⩨(⫛⫱⨽⊺⇮3915)))⨰((⊺⇮2125/⊺⇮6704)⇷⊺⇮5630⪛⊺⇮4540⪒(⫛⫱⨽(⊺⇮2688⫸⊐⊺⇮3376)))","cot":[{"info":"⊺⇮3548⋷⊺⇮3921=⊺⇮4294","layer":3},{"info":"⊺⇮1879∧=NaN","layer":3},{"info":"⊺⇮4294⩚⊴⇥NaN=NaN","layer":2},{"info":"⊺⇮6680⋳⪒⊺⇮3334=⊺⇮9739","layer":3},{"info":"⫛⫱⨽⊺⇮3915=⊺⇮0","layer":3},{"info":"⊺⇮9739⩨⊺⇮0=⊺⇮0","layer":2},{"info":"NaN⊭↱⊺⇮0=NaN","layer":1},{"info":"⊺⇮2125/⊺⇮6704=⊺⇮0","layer":3},{"info":"⊺⇮5630⪛⊺⇮4540=⊺⇮1090","layer":3},{"info":"⊺⇮0⇷⊺⇮1090=⊺⇮2180","layer":2},{"info":"⊺⇮2688⫸⊐⊺⇮3376=⊺⇮13379","layer":3},{"info":"⫛⫱⨽⊺⇮13379=⊺⇮0","layer":2},{"info":"⊺⇮2180⪒⊺⇮0=⊺⇮-2180","layer":1},{"info":"NaN⨰⊺⇮-2180=NaN","layer":0}]}
{"id":584,"expression_no_base_symbol":"↔(($1409$∀⇚≩$2993$⋥≓≎$1140$⩷∴$2619$)≧⫂∧((⊄⩳↩$4054$)⩷∴$6434$⨪↰⇹$4128$))","expression":"↔((⊺⇮1409∀⇚≩⊺⇮2993⋥≓≎⊺⇮1140⩷∴⊺⇮2619)≧⫂∧((⊄⩳↩⊺⇮4054)⩷∴⊺⇮6434⨪↰⇹⊺⇮4128))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":16323,"operation_count":8,"complexity_ratio":2040.375,"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":1409,"base":10},"right_expr":{"type":"numeric_atoms","value":2993,"base":10}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1140,"base":10},"right_expr":{"type":"numeric_atoms","value":2619,"base":10}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":4054,"base":10}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":6434,"base":10},"right_expr":{"type":"numeric_atoms","value":4128,"base":10}}}}},"used_operators":["ruOEQAzv1W","Ph9nP6C5qx","Qy55tPpLXF","LRNGc0VcxI","9FxExcQeMw","8w2t5hMYqp","tmPS8pqC7x"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK"],"result":"⊺⇮-37018","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1409","layer":4},{"info":"number node, value=2993","layer":4},{"info":"compute binary expreesion, left_input=1409, right_input=2993, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1140","layer":4},{"info":"number node, value=2619","layer":4},{"info":"compute binary expreesion, left_input=1140, right_input=2619, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2990","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2990, 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=4054","layer":4},{"info":"compute unary expreesion, input=4054, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-12162","layer":3},{"info":"number node, value=6434","layer":4},{"info":"number node, value=4128","layer":4},{"info":"compute binary expreesion, left_input=6434, right_input=4128, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=6434","layer":3},{"info":"compute binary expreesion, left_input=-12162, right_input=6434, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-37224","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-37224, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=37291","layer":1},{"info":"compute unary expreesion, input=37291, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-37018","layer":0}],"base":10,"result_base":10,"text":"↔((⊺⇮1409∀⇚≩⊺⇮2993⋥≓≎⊺⇮1140⩷∴⊺⇮2619)≧⫂∧((⊄⩳↩⊺⇮4054)⩷∴⊺⇮6434⨪↰⇹⊺⇮4128))=⊺⇮-37018","reverse_text":"⊺⇮-37018=↔((⊺⇮1409∀⇚≩⊺⇮2993⋥≓≎⊺⇮1140⩷∴⊺⇮2619)≧⫂∧((⊄⩳↩⊺⇮4054)⩷∴⊺⇮6434⨪↰⇹⊺⇮4128))","cot":[{"info":"⊺⇮1409∀⇚≩⊺⇮2993=NaN","layer":3},{"info":"⊺⇮1140⩷∴⊺⇮2619=⊺⇮-2990","layer":3},{"info":"NaN⋥≓≎⊺⇮-2990=⊺⇮67","layer":2},{"info":"⊄⩳↩⊺⇮4054=⊺⇮-12162","layer":3},{"info":"⊺⇮6434⨪↰⇹⊺⇮4128=⊺⇮6434","layer":3},{"info":"⊺⇮-12162⩷∴⊺⇮6434=⊺⇮-37224","layer":2},{"info":"⊺⇮67≧⫂∧⊺⇮-37224=⊺⇮37291","layer":1},{"info":"↔⊺⇮37291=⊺⇮-37018","layer":0}]}
{"id":585,"expression_no_base_symbol":"($2248$⨟⋌⩍$2293$↬(⫛⫱⨽$2966$)⩨((+⊝⨔$3986$)+($3862$⫡⨏$1489$)))⪘⫢(⨞⊢(⫓⪴(⨞⊢$4449$)))","expression":"(⊺⇮2248⨟⋌⩍⊺⇮2293↬(⫛⫱⨽⊺⇮2966)⩨((+⊝⨔⊺⇮3986)+(⊺⇮3862⫡⨏⊺⇮1489)))⪘⫢(⨞⊢(⫓⪴(⨞⊢⊺⇮4449)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6112,"operation_count":11,"complexity_ratio":555.6363636363636,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2248,"base":10},"right_expr":{"type":"numeric_atoms","value":2293,"base":10}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2966,"base":10}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":3986,"base":10}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3862,"base":10},"right_expr":{"type":"numeric_atoms","value":1489,"base":10}}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":4449,"base":10}}}}},"used_operators":["oacrs7FA3X","2DlMacCsIx","B5M0gjZbta","rGHVDoGpnC","DlLNRPXxWL","W4YGzv6Whe","DhbWaqg5eL","QMFrweE19q","xUOZtlo3hN","eLxqMNBOBk"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rGHVDoGpnC","Tcnh7f0tEr","rGHVDoGpnC","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2248","layer":4},{"info":"number node, value=2293","layer":4},{"info":"compute binary expreesion, left_input=2248, right_input=2293, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=2966","layer":4},{"info":"compute unary expreesion, input=2966, 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 = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=3986","layer":4},{"info":"compute unary expreesion, input=3986, 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=3862","layer":4},{"info":"number node, value=1489","layer":4},{"info":"compute binary expreesion, left_input=3862, right_input=1489, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=23071","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=23071, op_id = W4YGzv6Whe binary_op_definition= 'None', output=24593","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=24593, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"number node, value=4449","layer":4},{"info":"compute unary expreesion, input=4449, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-4623","layer":3},{"info":"compute unary expreesion, input=-4623, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=21372129","layer":2},{"info":"compute unary expreesion, input=21372129, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-21372303","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-21372303, 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":10,"result_base":10,"text":"(⊺⇮2248⨟⋌⩍⊺⇮2293↬(⫛⫱⨽⊺⇮2966)⩨((+⊝⨔⊺⇮3986)+(⊺⇮3862⫡⨏⊺⇮1489)))⪘⫢(⨞⊢(⫓⪴(⨞⊢⊺⇮4449)))=NaN","reverse_text":"NaN=(⊺⇮2248⨟⋌⩍⊺⇮2293↬(⫛⫱⨽⊺⇮2966)⩨((+⊝⨔⊺⇮3986)+(⊺⇮3862⫡⨏⊺⇮1489)))⪘⫢(⨞⊢(⫓⪴(⨞⊢⊺⇮4449)))","cot":[{"info":"⊺⇮2248⨟⋌⩍⊺⇮2293=NaN","layer":3},{"info":"⫛⫱⨽⊺⇮2966=⊺⇮0","layer":3},{"info":"NaN↬⊺⇮0=NaN","layer":2},{"info":"+⊝⨔⊺⇮3986=⊺⇮1522","layer":3},{"info":"⊺⇮3862⫡⨏⊺⇮1489=⊺⇮23071","layer":3},{"info":"⊺⇮1522+⊺⇮23071=⊺⇮24593","layer":2},{"info":"NaN⩨⊺⇮24593=NaN","layer":1},{"info":"⨞⊢⊺⇮4449=⊺⇮-4623","layer":3},{"info":"⫓⪴⊺⇮-4623=⊺⇮21372129","layer":2},{"info":"⨞⊢⊺⇮21372129=⊺⇮-21372303","layer":1},{"info":"NaN⪘⫢⊺⇮-21372303=NaN","layer":0}]}
{"id":586,"expression_no_base_symbol":"((($6078$/$1874$)-($7364$≋⫹))⪄(⨑⩽⪐($3896$⊪)))⫥∨⫟(($2761$⩚⊴⇥$2216$)∼$1097$⊴$2635$%(∥⊫$2751$⋥≓≎$3216$))","expression":"(((⊺⇮6078/⊺⇮1874)-(⊺⇮7364≋⫹))⪄(⨑⩽⪐(⊺⇮3896⊪)))⫥∨⫟((⊺⇮2761⩚⊴⇥⊺⇮2216)∼⊺⇮1097⊴⊺⇮2635%(∥⊫⊺⇮2751⋥≓≎⊺⇮3216))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3050,"operation_count":13,"complexity_ratio":234.6153846153846,"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":6078,"base":10},"right_expr":{"type":"numeric_atoms","value":1874,"base":10}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":7364,"base":10}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":3896,"base":10}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2761,"base":10},"right_expr":{"type":"numeric_atoms","value":2216,"base":10}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1097,"base":10},"right_expr":{"type":"numeric_atoms","value":2635,"base":10}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2751,"base":10},"right_expr":{"type":"numeric_atoms","value":3216,"base":10}}}}},"used_operators":["KYD54nUTWz","SUmda5xLS4","rysDP5nf3Z","XhwjNDsVaA","N41Kp7NANJ","AF7qkfDlqP","zVYPLywUTj","k8jYdgA6NY","DyGG3AbaNP","NTOWxs364D","Nsiff2A1zJ","P8v4zCKN1o","Qy55tPpLXF"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6078","layer":4},{"info":"number node, value=1874","layer":4},{"info":"compute binary expreesion, left_input=6078, right_input=1874, op_id = XhwjNDsVaA binary_op_definition= 'None', output=3","layer":3},{"info":"number node, value=7364","layer":4},{"info":"compute unary expreesion, input=7364, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-14728","layer":3},{"info":"compute binary expreesion, left_input=3, right_input=-14728, op_id = rysDP5nf3Z binary_op_definition= 'None', output=14731","layer":2},{"info":"number node, value=3896","layer":4},{"info":"compute unary expreesion, input=3896, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=789","layer":2},{"info":"compute binary expreesion, left_input=14731, right_input=789, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-2179433","layer":1},{"info":"number node, value=2761","layer":4},{"info":"number node, value=2216","layer":4},{"info":"compute binary expreesion, left_input=2761, right_input=2216, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5098","layer":3},{"info":"number node, value=1097","layer":4},{"info":"number node, value=2635","layer":4},{"info":"compute binary expreesion, left_input=1097, right_input=2635, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-5098, 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=2751","layer":4},{"info":"number node, value=3216","layer":4},{"info":"compute binary expreesion, left_input=2751, right_input=3216, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3714","layer":3},{"info":"compute unary expreesion, input=3714, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4582","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4582, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-2179433, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮6078/⊺⇮1874)-(⊺⇮7364≋⫹))⪄(⨑⩽⪐(⊺⇮3896⊪)))⫥∨⫟((⊺⇮2761⩚⊴⇥⊺⇮2216)∼⊺⇮1097⊴⊺⇮2635%(∥⊫⊺⇮2751⋥≓≎⊺⇮3216))=NaN","reverse_text":"NaN=(((⊺⇮6078/⊺⇮1874)-(⊺⇮7364≋⫹))⪄(⨑⩽⪐(⊺⇮3896⊪)))⫥∨⫟((⊺⇮2761⩚⊴⇥⊺⇮2216)∼⊺⇮1097⊴⊺⇮2635%(∥⊫⊺⇮2751⋥≓≎⊺⇮3216))","cot":[{"info":"⊺⇮6078/⊺⇮1874=⊺⇮3","layer":3},{"info":"⊺⇮7364≋⫹=⊺⇮-14728","layer":3},{"info":"⊺⇮3-⊺⇮-14728=⊺⇮14731","layer":2},{"info":"⊺⇮3896⊪=⊺⇮0","layer":3},{"info":"⨑⩽⪐⊺⇮0=⊺⇮789","layer":2},{"info":"⊺⇮14731⪄⊺⇮789=⊺⇮-2179433","layer":1},{"info":"⊺⇮2761⩚⊴⇥⊺⇮2216=⊺⇮-5098","layer":3},{"info":"⊺⇮1097⊴⊺⇮2635=NaN","layer":3},{"info":"⊺⇮-5098∼NaN=NaN","layer":2},{"info":"⊺⇮2751⋥≓≎⊺⇮3216=⊺⇮3714","layer":3},{"info":"∥⊫⊺⇮3714=⊺⇮4582","layer":2},{"info":"NaN%⊺⇮4582=NaN","layer":1},{"info":"⊺⇮-2179433⫥∨⫟NaN=NaN","layer":0}]}
{"id":587,"expression_no_base_symbol":"($1009$⪛$2028$⨽($5247$⨵⪆$5614$)/($3931$⨪↰⇹$6841$⩤))⨳⩥⨓$1386$⊴$1004$⋓(≦∁$3757$)≎⊠⪸(⪲⇎(⪝⪂⫅$6792$))","expression":"(⊺⇮1009⪛⊺⇮2028⨽(⊺⇮5247⨵⪆⊺⇮5614)/(⊺⇮3931⨪↰⇹⊺⇮6841⩤))⨳⩥⨓⊺⇮1386⊴⊺⇮1004⋓(≦∁⊺⇮3757)≎⊠⪸(⪲⇎(⪝⪂⫅⊺⇮6792))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6980,"operation_count":13,"complexity_ratio":536.9230769230769,"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":1009,"base":10},"right_expr":{"type":"numeric_atoms","value":2028,"base":10}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":5247,"base":10},"right_expr":{"type":"numeric_atoms","value":5614,"base":10}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3931,"base":10},"right_expr":{"type":"numeric_atoms","value":6841,"base":10}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1386,"base":10},"right_expr":{"type":"numeric_atoms","value":1004,"base":10}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":3757,"base":10}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":6792,"base":10}}}}},"used_operators":["nCS4ZIUYfx","XhwjNDsVaA","8HhzD0ZcuI","uFcxV4UQCh","2DQ55sFlQl","Z2TMIBDE3Q","tmPS8pqC7x","bJkvcejdHO","T2fj7uvVaJ","Nsiff2A1zJ","9ICcGScMcE","XPYlsWDdGa","XTarYq4gQB"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","dWAJyo7jo9","14qkJME0vr","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp"],"result":"⊺⇮-709","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1009","layer":4},{"info":"number node, value=2028","layer":4},{"info":"compute binary expreesion, left_input=1009, right_input=2028, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1009","layer":3},{"info":"number node, value=5247","layer":4},{"info":"number node, value=5614","layer":4},{"info":"compute binary expreesion, left_input=5247, right_input=5614, 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=1009, right_input=160, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3053409","layer":2},{"info":"number node, value=3931","layer":4},{"info":"number node, value=6841","layer":4},{"info":"compute binary expreesion, left_input=3931, right_input=6841, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3931","layer":3},{"info":"compute unary expreesion, input=3931, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-3931","layer":2},{"info":"compute binary expreesion, left_input=-3053409, right_input=-3931, op_id = XhwjNDsVaA binary_op_definition= 'None', output=776","layer":1},{"info":"number node, value=1386","layer":4},{"info":"number node, value=1004","layer":4},{"info":"compute binary expreesion, left_input=1386, right_input=1004, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=3757","layer":4},{"info":"compute unary expreesion, input=3757, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3757","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3757, op_id = T2fj7uvVaJ binary_op_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=6792","layer":4},{"info":"compute unary expreesion, input=6792, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-998424","layer":3},{"info":"compute unary expreesion, input=-998424, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-1996848","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-1996848, 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=776, right_input=67, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-709","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1009⪛⊺⇮2028⨽(⊺⇮5247⨵⪆⊺⇮5614)/(⊺⇮3931⨪↰⇹⊺⇮6841⩤))⨳⩥⨓⊺⇮1386⊴⊺⇮1004⋓(≦∁⊺⇮3757)≎⊠⪸(⪲⇎(⪝⪂⫅⊺⇮6792))=⊺⇮-709","reverse_text":"⊺⇮-709=(⊺⇮1009⪛⊺⇮2028⨽(⊺⇮5247⨵⪆⊺⇮5614)/(⊺⇮3931⨪↰⇹⊺⇮6841⩤))⨳⩥⨓⊺⇮1386⊴⊺⇮1004⋓(≦∁⊺⇮3757)≎⊠⪸(⪲⇎(⪝⪂⫅⊺⇮6792))","cot":[{"info":"⊺⇮1009⪛⊺⇮2028=⊺⇮1009","layer":3},{"info":"⊺⇮5247⨵⪆⊺⇮5614=⊺⇮160","layer":3},{"info":"⊺⇮1009⨽⊺⇮160=⊺⇮-3053409","layer":2},{"info":"⊺⇮3931⨪↰⇹⊺⇮6841=⊺⇮3931","layer":3},{"info":"⊺⇮3931⩤=⊺⇮-3931","layer":2},{"info":"⊺⇮-3053409/⊺⇮-3931=⊺⇮776","layer":1},{"info":"⊺⇮1386⊴⊺⇮1004=NaN","layer":3},{"info":"≦∁⊺⇮3757=⊺⇮3757","layer":3},{"info":"NaN⋓⊺⇮3757=⊺⇮0","layer":2},{"info":"⪝⪂⫅⊺⇮6792=⊺⇮-998424","layer":3},{"info":"⪲⇎⊺⇮-998424=⊺⇮-1996848","layer":2},{"info":"⊺⇮0≎⊠⪸⊺⇮-1996848=⊺⇮67","layer":1},{"info":"⊺⇮776⨳⩥⨓⊺⇮67=⊺⇮-709","layer":0}]}
{"id":588,"expression_no_base_symbol":"($4746$⩚⊴⇥$1002$⋳⪒(⋗⩬⋾$2412$))⪘⫢(($7063$⪒$1422$)⪐)∑⇟⊟(($4972$⋝⋈⪟$4718$)⊴($5894$⩚⊴⇥$2788$)⩚⊴⇥$2111$⨟⋌⩍$6333$⪛($1028$⋝⋈⪟$2388$))","expression":"(⊺⇮4746⩚⊴⇥⊺⇮1002⋳⪒(⋗⩬⋾⊺⇮2412))⪘⫢((⊺⇮7063⪒⊺⇮1422)⪐)∑⇟⊟((⊺⇮4972⋝⋈⪟⊺⇮4718)⊴(⊺⇮5894⩚⊴⇥⊺⇮2788)⩚⊴⇥⊺⇮2111⨟⋌⩍⊺⇮6333⪛(⊺⇮1028⋝⋈⪟⊺⇮2388))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":9321,"operation_count":14,"complexity_ratio":665.7857142857143,"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":4746,"base":10},"right_expr":{"type":"numeric_atoms","value":1002,"base":10}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":2412,"base":10}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":7063,"base":10},"right_expr":{"type":"numeric_atoms","value":1422,"base":10}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4972,"base":10},"right_expr":{"type":"numeric_atoms","value":4718,"base":10}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":5894,"base":10},"right_expr":{"type":"numeric_atoms","value":2788,"base":10}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2111,"base":10},"right_expr":{"type":"numeric_atoms","value":6333,"base":10}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1028,"base":10},"right_expr":{"type":"numeric_atoms","value":2388,"base":10}}}}},"used_operators":["U7g4x0WXJJ","oacrs7FA3X","12rbrZMWeM","NTOWxs364D","DpFCA1CohY","eH2TOUuTDT","f6k1SAg4EE","Nsiff2A1zJ","2DDjHMKMc0","uFcxV4UQCh","rGHVDoGpnC"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4746","layer":4},{"info":"number node, value=1002","layer":4},{"info":"compute binary expreesion, left_input=4746, right_input=1002, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5869","layer":3},{"info":"number node, value=2412","layer":4},{"info":"compute unary expreesion, input=2412, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-7236","layer":3},{"info":"compute binary expreesion, left_input=-5869, right_input=-7236, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-4789","layer":2},{"info":"number node, value=7063","layer":4},{"info":"number node, value=1422","layer":4},{"info":"compute binary expreesion, left_input=7063, right_input=1422, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8485","layer":3},{"info":"compute unary expreesion, input=-8485, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=-16970","layer":2},{"info":"compute binary expreesion, left_input=-4789, right_input=-16970, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":1},{"info":"number node, value=4972","layer":4},{"info":"number node, value=4718","layer":4},{"info":"compute binary expreesion, left_input=4972, right_input=4718, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4972","layer":3},{"info":"number node, value=5894","layer":4},{"info":"number node, value=2788","layer":4},{"info":"compute binary expreesion, left_input=5894, right_input=2788, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8803","layer":3},{"info":"compute binary expreesion, left_input=4972, right_input=-8803, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=2111","layer":4},{"info":"number node, value=6333","layer":4},{"info":"compute binary expreesion, left_input=2111, right_input=6333, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1028","layer":4},{"info":"number node, value=2388","layer":4},{"info":"compute binary expreesion, left_input=1028, right_input=2388, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1028","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1028, 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 = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-1, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮4746⩚⊴⇥⊺⇮1002⋳⪒(⋗⩬⋾⊺⇮2412))⪘⫢((⊺⇮7063⪒⊺⇮1422)⪐)∑⇟⊟((⊺⇮4972⋝⋈⪟⊺⇮4718)⊴(⊺⇮5894⩚⊴⇥⊺⇮2788)⩚⊴⇥⊺⇮2111⨟⋌⩍⊺⇮6333⪛(⊺⇮1028⋝⋈⪟⊺⇮2388))=NaN","reverse_text":"NaN=(⊺⇮4746⩚⊴⇥⊺⇮1002⋳⪒(⋗⩬⋾⊺⇮2412))⪘⫢((⊺⇮7063⪒⊺⇮1422)⪐)∑⇟⊟((⊺⇮4972⋝⋈⪟⊺⇮4718)⊴(⊺⇮5894⩚⊴⇥⊺⇮2788)⩚⊴⇥⊺⇮2111⨟⋌⩍⊺⇮6333⪛(⊺⇮1028⋝⋈⪟⊺⇮2388))","cot":[{"info":"⊺⇮4746⩚⊴⇥⊺⇮1002=⊺⇮-5869","layer":3},{"info":"⋗⩬⋾⊺⇮2412=⊺⇮-7236","layer":3},{"info":"⊺⇮-5869⋳⪒⊺⇮-7236=⊺⇮-4789","layer":2},{"info":"⊺⇮7063⪒⊺⇮1422=⊺⇮-8485","layer":3},{"info":"⊺⇮-8485⪐=⊺⇮-16970","layer":2},{"info":"⊺⇮-4789⪘⫢⊺⇮-16970=⊺⇮-1","layer":1},{"info":"⊺⇮4972⋝⋈⪟⊺⇮4718=⊺⇮4972","layer":3},{"info":"⊺⇮5894⩚⊴⇥⊺⇮2788=⊺⇮-8803","layer":3},{"info":"⊺⇮4972⊴⊺⇮-8803=NaN","layer":2},{"info":"⊺⇮2111⨟⋌⩍⊺⇮6333=NaN","layer":3},{"info":"⊺⇮1028⋝⋈⪟⊺⇮2388=⊺⇮1028","layer":3},{"info":"NaN⪛⊺⇮1028=NaN","layer":2},{"info":"NaN⩚⊴⇥NaN=NaN","layer":1},{"info":"⊺⇮-1∑⇟⊟NaN=NaN","layer":0}]}
{"id":589,"expression_no_base_symbol":"(⪲⇎($6019$⪠⩆⊳)⨽($7530$⨵⪆$4329$))⪮%⊝($1269$≧⫂∧$6208$+⇶⊼$4469$∀⇚≩$1478$⊉≛↸($1357$⪮%⊝$1446$⇼⇔∾(⫛⫱⨽$2279$)))","expression":"(⪲⇎(⊺⇮6019⪠⩆⊳)⨽(⊺⇮7530⨵⪆⊺⇮4329))⪮%⊝(⊺⇮1269≧⫂∧⊺⇮6208+⇶⊼⊺⇮4469∀⇚≩⊺⇮1478⊉≛↸(⊺⇮1357⪮%⊝⊺⇮1446⇼⇔∾(⫛⫱⨽⊺⇮2279)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":32748,"operation_count":12,"complexity_ratio":2729.0,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":6019,"base":10}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":7530,"base":10},"right_expr":{"type":"numeric_atoms","value":4329,"base":10}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1269,"base":10},"right_expr":{"type":"numeric_atoms","value":6208,"base":10}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4469,"base":10},"right_expr":{"type":"numeric_atoms","value":1478,"base":10}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1357,"base":10},"right_expr":{"type":"numeric_atoms","value":1446,"base":10}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2279,"base":10}}}}},"used_operators":["IWmyXbctLI","XPYlsWDdGa","8HhzD0ZcuI","JLbD19bQDL","2DQ55sFlQl","DZ8iAZOCBD","TpPTUOHfaN","Ph9nP6C5qx","LRNGc0VcxI","tifHPKVTfV","DlLNRPXxWL"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6019","layer":4},{"info":"compute unary expreesion, input=6019, 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=7530","layer":4},{"info":"number node, value=4329","layer":4},{"info":"compute binary expreesion, left_input=7530, right_input=4329, 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 = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=834","layer":2},{"info":"compute unary expreesion, input=834, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=1668","layer":1},{"info":"number node, value=1269","layer":4},{"info":"number node, value=6208","layer":4},{"info":"compute binary expreesion, left_input=1269, right_input=6208, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5735","layer":3},{"info":"number node, value=4469","layer":4},{"info":"number node, value=1478","layer":4},{"info":"compute binary expreesion, left_input=4469, right_input=1478, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=5735, 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=1357","layer":4},{"info":"number node, value=1446","layer":4},{"info":"compute binary expreesion, left_input=1357, right_input=1446, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3030","layer":3},{"info":"number node, value=2279","layer":4},{"info":"compute unary expreesion, input=2279, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=3030, right_input=0, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-3030","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3030, 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=1668, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⪲⇎(⊺⇮6019⪠⩆⊳)⨽(⊺⇮7530⨵⪆⊺⇮4329))⪮%⊝(⊺⇮1269≧⫂∧⊺⇮6208+⇶⊼⊺⇮4469∀⇚≩⊺⇮1478⊉≛↸(⊺⇮1357⪮%⊝⊺⇮1446⇼⇔∾(⫛⫱⨽⊺⇮2279)))=NaN","reverse_text":"NaN=(⪲⇎(⊺⇮6019⪠⩆⊳)⨽(⊺⇮7530⨵⪆⊺⇮4329))⪮%⊝(⊺⇮1269≧⫂∧⊺⇮6208+⇶⊼⊺⇮4469∀⇚≩⊺⇮1478⊉≛↸(⊺⇮1357⪮%⊝⊺⇮1446⇼⇔∾(⫛⫱⨽⊺⇮2279)))","cot":[{"info":"⊺⇮6019⪠⩆⊳=⊺⇮0","layer":3},{"info":"⊺⇮7530⨵⪆⊺⇮4329=⊺⇮160","layer":3},{"info":"⊺⇮0⨽⊺⇮160=⊺⇮834","layer":2},{"info":"⪲⇎⊺⇮834=⊺⇮1668","layer":1},{"info":"⊺⇮1269≧⫂∧⊺⇮6208=⊺⇮5735","layer":3},{"info":"⊺⇮4469∀⇚≩⊺⇮1478=NaN","layer":3},{"info":"⊺⇮5735+⇶⊼NaN=NaN","layer":2},{"info":"⊺⇮1357⪮%⊝⊺⇮1446=⊺⇮3030","layer":3},{"info":"⫛⫱⨽⊺⇮2279=⊺⇮0","layer":3},{"info":"⊺⇮3030⇼⇔∾⊺⇮0=⊺⇮-3030","layer":2},{"info":"NaN⊉≛↸⊺⇮-3030=NaN","layer":1},{"info":"⊺⇮1668⪮%⊝NaN=NaN","layer":0}]}
{"id":590,"expression_no_base_symbol":"(($1310$⩨$1870$↛⩡⫤)+(≉($2006$%$4002$)))⩷∴((∂($1414$↺$1558$))⪠⩆⊳)","expression":"((⊺⇮1310⩨⊺⇮1870↛⩡⫤)+(≉(⊺⇮2006%⊺⇮4002)))⩷∴((∂(⊺⇮1414↺⊺⇮1558))⪠⩆⊳)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":97,"operation_count":9,"complexity_ratio":10.777777777777779,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1310,"base":10},"right_expr":{"type":"numeric_atoms","value":1870,"base":10}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2006,"base":10},"right_expr":{"type":"numeric_atoms","value":4002,"base":10}}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1414,"base":10},"right_expr":{"type":"numeric_atoms","value":1558,"base":10}}}}},"used_operators":["9FxExcQeMw","W4YGzv6Whe","FU0Cs4j7VP","2DlMacCsIx","e1ybzncUwg","k8jYdgA6NY","JLbD19bQDL","Uaa54Peajs","7j4O788W3g"],"dependent_operators":["rysDP5nf3Z","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=1310","layer":4},{"info":"number node, value=1870","layer":4},{"info":"compute binary expreesion, left_input=1310, right_input=1870, 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 = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=3","layer":2},{"info":"number node, value=2006","layer":4},{"info":"number node, value=4002","layer":4},{"info":"compute binary expreesion, left_input=2006, right_input=4002, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2006","layer":3},{"info":"compute unary expreesion, input=2006, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2537","layer":2},{"info":"compute binary expreesion, left_input=3, right_input=2537, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2540","layer":1},{"info":"number node, value=1414","layer":4},{"info":"number node, value=1558","layer":4},{"info":"compute binary expreesion, left_input=1414, right_input=1558, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1558","layer":3},{"info":"compute unary expreesion, input=1558, 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 = 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=2540, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1310⩨⊺⇮1870↛⩡⫤)+(≉(⊺⇮2006%⊺⇮4002)))⩷∴((∂(⊺⇮1414↺⊺⇮1558))⪠⩆⊳)=NaN","reverse_text":"NaN=((⊺⇮1310⩨⊺⇮1870↛⩡⫤)+(≉(⊺⇮2006%⊺⇮4002)))⩷∴((∂(⊺⇮1414↺⊺⇮1558))⪠⩆⊳)","cot":[{"info":"⊺⇮1310⩨⊺⇮1870=⊺⇮-3","layer":3},{"info":"⊺⇮-3↛⩡⫤=⊺⇮3","layer":2},{"info":"⊺⇮2006%⊺⇮4002=⊺⇮2006","layer":3},{"info":"≉⊺⇮2006=⊺⇮2537","layer":2},{"info":"⊺⇮3+⊺⇮2537=⊺⇮2540","layer":1},{"info":"⊺⇮1414↺⊺⇮1558=⊺⇮1558","layer":3},{"info":"∂⊺⇮1558=NaN","layer":2},{"info":"NaN⪠⩆⊳=NaN","layer":1},{"info":"⊺⇮2540⩷∴NaN=NaN","layer":0}]}
{"id":591,"expression_no_base_symbol":"((⪝⪂⫅($3756$⫌⩹⨱))⫌⩹⨱)⫥∨⫟(((+⊝⨔$1784$)%$3050$⩨$2403$)⪄(($2957$⋷$2012$)≫≃))","expression":"((⪝⪂⫅(⊺⇮3756⫌⩹⨱))⫌⩹⨱)⫥∨⫟(((+⊝⨔⊺⇮1784)%⊺⇮3050⩨⊺⇮2403)⪄((⊺⇮2957⋷⊺⇮2012)≫≃))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":395,"operation_count":10,"complexity_ratio":39.5,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":3756,"base":10}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1784,"base":10}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3050,"base":10},"right_expr":{"type":"numeric_atoms","value":2403,"base":10}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2957,"base":10},"right_expr":{"type":"numeric_atoms","value":2012,"base":10}}}}},"used_operators":["KYD54nUTWz","EBcxylXtPf","XTarYq4gQB","SUmda5xLS4","k8jYdgA6NY","DhbWaqg5eL","2DlMacCsIx","X99M06cbEe","23Mk6UjR3U"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","8w2t5hMYqp","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3756","layer":4},{"info":"compute unary expreesion, input=3756, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=8913","layer":3},{"info":"compute unary expreesion, input=8913, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-1310211","layer":2},{"info":"compute unary expreesion, input=-1310211, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=-2619021","layer":1},{"info":"number node, value=1784","layer":4},{"info":"compute unary expreesion, input=1784, 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=3050","layer":4},{"info":"number node, value=2403","layer":4},{"info":"compute binary expreesion, left_input=3050, right_input=2403, 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=1522, right_input=0, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=2957","layer":4},{"info":"number node, value=2012","layer":4},{"info":"compute binary expreesion, left_input=2957, right_input=2012, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1067","layer":3},{"info":"compute unary expreesion, input=1067, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=3535","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3535, 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=-2619021, right_input=3979, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⪝⪂⫅(⊺⇮3756⫌⩹⨱))⫌⩹⨱)⫥∨⫟(((+⊝⨔⊺⇮1784)%⊺⇮3050⩨⊺⇮2403)⪄((⊺⇮2957⋷⊺⇮2012)≫≃))=NaN","reverse_text":"NaN=((⪝⪂⫅(⊺⇮3756⫌⩹⨱))⫌⩹⨱)⫥∨⫟(((+⊝⨔⊺⇮1784)%⊺⇮3050⩨⊺⇮2403)⪄((⊺⇮2957⋷⊺⇮2012)≫≃))","cot":[{"info":"⊺⇮3756⫌⩹⨱=⊺⇮8913","layer":3},{"info":"⪝⪂⫅⊺⇮8913=⊺⇮-1310211","layer":2},{"info":"⊺⇮-1310211⫌⩹⨱=⊺⇮-2619021","layer":1},{"info":"+⊝⨔⊺⇮1784=⊺⇮1522","layer":3},{"info":"⊺⇮3050⩨⊺⇮2403=⊺⇮0","layer":3},{"info":"⊺⇮1522%⊺⇮0=NaN","layer":2},{"info":"⊺⇮2957⋷⊺⇮2012=⊺⇮1067","layer":3},{"info":"⊺⇮1067≫≃=⊺⇮3535","layer":2},{"info":"NaN⪄⊺⇮3535=⊺⇮3979","layer":1},{"info":"⊺⇮-2619021⫥∨⫟⊺⇮3979=NaN","layer":0}]}
{"id":592,"expression_no_base_symbol":"⪝⪂⫅(($2029$⨪↰⇹$7044$+$3024$⨰$3262$)⋥≓≎($3245$⋓$1203$)⪛($2579$⨵⪆$8566$))","expression":"⪝⪂⫅((⊺⇮2029⨪↰⇹⊺⇮7044+⊺⇮3024⨰⊺⇮3262)⋥≓≎(⊺⇮3245⋓⊺⇮1203)⪛(⊺⇮2579⨵⪆⊺⇮8566))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2208,"operation_count":8,"complexity_ratio":276.0,"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":2029,"base":10},"right_expr":{"type":"numeric_atoms","value":7044,"base":10}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3024,"base":10},"right_expr":{"type":"numeric_atoms","value":3262,"base":10}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3245,"base":10},"right_expr":{"type":"numeric_atoms","value":1203,"base":10}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2579,"base":10},"right_expr":{"type":"numeric_atoms","value":8566,"base":10}}}}},"used_operators":["XTarYq4gQB","Qy55tPpLXF","W4YGzv6Whe","tmPS8pqC7x","eewbuw0ToL","uFcxV4UQCh","T2fj7uvVaJ","2DQ55sFlQl"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd"],"result":"⊺⇮259896","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2029","layer":4},{"info":"number node, value=7044","layer":4},{"info":"compute binary expreesion, left_input=2029, right_input=7044, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2029","layer":3},{"info":"number node, value=3024","layer":4},{"info":"number node, value=3262","layer":4},{"info":"compute binary expreesion, left_input=3024, right_input=3262, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-228","layer":3},{"info":"compute binary expreesion, left_input=2029, right_input=-228, op_id = W4YGzv6Whe binary_op_definition= 'None', output=1801","layer":2},{"info":"number node, value=3245","layer":4},{"info":"number node, value=1203","layer":4},{"info":"compute binary expreesion, left_input=3245, right_input=1203, op_id = T2fj7uvVaJ binary_op_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=2579","layer":4},{"info":"number node, value=8566","layer":4},{"info":"compute binary expreesion, left_input=2579, right_input=8566, 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 = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=1801, right_input=0, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1768","layer":1},{"info":"compute unary expreesion, input=-1768, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=259896","layer":0}],"base":10,"result_base":10,"text":"⪝⪂⫅((⊺⇮2029⨪↰⇹⊺⇮7044+⊺⇮3024⨰⊺⇮3262)⋥≓≎(⊺⇮3245⋓⊺⇮1203)⪛(⊺⇮2579⨵⪆⊺⇮8566))=⊺⇮259896","reverse_text":"⊺⇮259896=⪝⪂⫅((⊺⇮2029⨪↰⇹⊺⇮7044+⊺⇮3024⨰⊺⇮3262)⋥≓≎(⊺⇮3245⋓⊺⇮1203)⪛(⊺⇮2579⨵⪆⊺⇮8566))","cot":[{"info":"⊺⇮2029⨪↰⇹⊺⇮7044=⊺⇮2029","layer":3},{"info":"⊺⇮3024⨰⊺⇮3262=⊺⇮-228","layer":3},{"info":"⊺⇮2029+⊺⇮-228=⊺⇮1801","layer":2},{"info":"⊺⇮3245⋓⊺⇮1203=⊺⇮0","layer":3},{"info":"⊺⇮2579⨵⪆⊺⇮8566=⊺⇮160","layer":3},{"info":"⊺⇮0⪛⊺⇮160=⊺⇮0","layer":2},{"info":"⊺⇮1801⋥≓≎⊺⇮0=⊺⇮-1768","layer":1},{"info":"⪝⪂⫅⊺⇮-1768=⊺⇮259896","layer":0}]}
{"id":593,"expression_no_base_symbol":"((($1378$⪐)⪐)+⇶⊼((⨞⊢$2323$)↺($5763$⪄$8953$)))↬(($3360$⪨≂$1564$)⨪↰⇹($1299$⫡⨏$2078$)⪄(⩦⩻⨪$4824$+⇶⊼$2324$))","expression":"(((⊺⇮1378⪐)⪐)+⇶⊼((⨞⊢⊺⇮2323)↺(⊺⇮5763⪄⊺⇮8953)))↬((⊺⇮3360⪨≂⊺⇮1564)⨪↰⇹(⊺⇮1299⫡⨏⊺⇮2078)⪄(⩦⩻⨪⊺⇮4824+⇶⊼⊺⇮2324))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3909,"operation_count":13,"complexity_ratio":300.6923076923077,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1378,"base":10}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2323,"base":10}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":5763,"base":10},"right_expr":{"type":"numeric_atoms","value":8953,"base":10}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3360,"base":10},"right_expr":{"type":"numeric_atoms","value":1564,"base":10}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1299,"base":10},"right_expr":{"type":"numeric_atoms","value":2078,"base":10}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4824,"base":10},"right_expr":{"type":"numeric_atoms","value":2324,"base":10}}}}},"used_operators":["B5M0gjZbta","TpPTUOHfaN","eH2TOUuTDT","7j4O788W3g","xUOZtlo3hN","SUmda5xLS4","tmPS8pqC7x","sdazOOVcIp","QMFrweE19q","2td37pGCOC"],"dependent_operators":["rGHVDoGpnC","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1378","layer":4},{"info":"compute unary expreesion, input=1378, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2756","layer":3},{"info":"compute unary expreesion, input=2756, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=5512","layer":2},{"info":"number node, value=2323","layer":4},{"info":"compute unary expreesion, input=2323, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2497","layer":3},{"info":"number node, value=5763","layer":4},{"info":"number node, value=8953","layer":4},{"info":"compute binary expreesion, left_input=5763, right_input=8953, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-884825","layer":3},{"info":"compute binary expreesion, left_input=-2497, right_input=-884825, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-884825","layer":2},{"info":"compute binary expreesion, left_input=5512, right_input=-884825, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=3360","layer":4},{"info":"number node, value=1564","layer":4},{"info":"compute binary expreesion, left_input=3360, right_input=1564, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=3694","layer":3},{"info":"number node, value=1299","layer":4},{"info":"number node, value=2078","layer":4},{"info":"compute binary expreesion, left_input=1299, right_input=2078, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=11434","layer":3},{"info":"compute binary expreesion, left_input=3694, right_input=11434, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3694","layer":2},{"info":"number node, value=4824","layer":4},{"info":"number node, value=2324","layer":4},{"info":"compute binary expreesion, left_input=4824, right_input=2324, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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 binary expreesion, left_input=3694, 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 = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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":10,"result_base":10,"text":"(((⊺⇮1378⪐)⪐)+⇶⊼((⨞⊢⊺⇮2323)↺(⊺⇮5763⪄⊺⇮8953)))↬((⊺⇮3360⪨≂⊺⇮1564)⨪↰⇹(⊺⇮1299⫡⨏⊺⇮2078)⪄(⩦⩻⨪⊺⇮4824+⇶⊼⊺⇮2324))=NaN","reverse_text":"NaN=(((⊺⇮1378⪐)⪐)+⇶⊼((⨞⊢⊺⇮2323)↺(⊺⇮5763⪄⊺⇮8953)))↬((⊺⇮3360⪨≂⊺⇮1564)⨪↰⇹(⊺⇮1299⫡⨏⊺⇮2078)⪄(⩦⩻⨪⊺⇮4824+⇶⊼⊺⇮2324))","cot":[{"info":"⊺⇮1378⪐=⊺⇮2756","layer":3},{"info":"⊺⇮2756⪐=⊺⇮5512","layer":2},{"info":"⨞⊢⊺⇮2323=⊺⇮-2497","layer":3},{"info":"⊺⇮5763⪄⊺⇮8953=⊺⇮-884825","layer":3},{"info":"⊺⇮-2497↺⊺⇮-884825=⊺⇮-884825","layer":2},{"info":"⊺⇮5512+⇶⊼⊺⇮-884825=NaN","layer":1},{"info":"⊺⇮3360⪨≂⊺⇮1564=⊺⇮3694","layer":3},{"info":"⊺⇮1299⫡⨏⊺⇮2078=⊺⇮11434","layer":3},{"info":"⊺⇮3694⨪↰⇹⊺⇮11434=⊺⇮3694","layer":2},{"info":"⊺⇮4824+⇶⊼⊺⇮2324=NaN","layer":3},{"info":"⩦⩻⨪NaN=NaN","layer":2},{"info":"⊺⇮3694⪄NaN=NaN","layer":1},{"info":"NaN↬NaN=NaN","layer":0}]}
{"id":594,"expression_no_base_symbol":"($3319$⪛$4129$⨽($3044$-$1994$)%(⫛⫱⨽$1242$)⋓$4645$⪢$1655$)⪄($5509$∼$2932$)⪮%⊝(≦∁$2643$)⨪↰⇹(($8538$⨐⩸⫘$1328$)≎⊠⪸($3215$⫸⊐$3389$))","expression":"(⊺⇮3319⪛⊺⇮4129⨽(⊺⇮3044-⊺⇮1994)%(⫛⫱⨽⊺⇮1242)⋓⊺⇮4645⪢⊺⇮1655)⪄(⊺⇮5509∼⊺⇮2932)⪮%⊝(≦∁⊺⇮2643)⨪↰⇹((⊺⇮8538⨐⩸⫘⊺⇮1328)≎⊠⪸(⊺⇮3215⫸⊐⊺⇮3389))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7982,"operation_count":15,"complexity_ratio":532.1333333333333,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3319,"base":10},"right_expr":{"type":"numeric_atoms","value":4129,"base":10}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3044,"base":10},"right_expr":{"type":"numeric_atoms","value":1994,"base":10}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1242,"base":10}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4645,"base":10},"right_expr":{"type":"numeric_atoms","value":1655,"base":10}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5509,"base":10},"right_expr":{"type":"numeric_atoms","value":2932,"base":10}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2643,"base":10}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":8538,"base":10},"right_expr":{"type":"numeric_atoms","value":1328,"base":10}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3215,"base":10},"right_expr":{"type":"numeric_atoms","value":3389,"base":10}}}}},"used_operators":["SUmda5xLS4","k8jYdgA6NY","8HhzD0ZcuI","uFcxV4UQCh","rysDP5nf3Z","T2fj7uvVaJ","DlLNRPXxWL","dWAJyo7jo9","tmPS8pqC7x","IWmyXbctLI","DyGG3AbaNP","9ICcGScMcE","bJkvcejdHO","fu6greOZ01","mqXw5SEYmG"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rGHVDoGpnC","k8jYdgA6NY","rJVOvQCfKK","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","3ViojmjbAp","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⊺⇮3979","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3319","layer":4},{"info":"number node, value=4129","layer":4},{"info":"compute binary expreesion, left_input=3319, right_input=4129, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3319","layer":3},{"info":"number node, value=3044","layer":4},{"info":"number node, value=1994","layer":4},{"info":"compute binary expreesion, left_input=3044, right_input=1994, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1050","layer":3},{"info":"compute binary expreesion, left_input=3319, right_input=1050, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-33049119","layer":2},{"info":"number node, value=1242","layer":4},{"info":"compute unary expreesion, input=1242, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=4645","layer":4},{"info":"number node, value=1655","layer":4},{"info":"compute binary expreesion, left_input=4645, right_input=1655, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=-33049119, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=5509","layer":4},{"info":"number node, value=2932","layer":4},{"info":"compute binary expreesion, left_input=5509, right_input=2932, 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=2643","layer":4},{"info":"compute unary expreesion, input=2643, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2643","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2643, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"number node, value=8538","layer":4},{"info":"number node, value=1328","layer":4},{"info":"compute binary expreesion, left_input=8538, right_input=1328, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=3215","layer":4},{"info":"number node, value=3389","layer":4},{"info":"compute binary expreesion, left_input=3215, right_input=3389, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=13431","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=13431, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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 = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮3319⪛⊺⇮4129⨽(⊺⇮3044-⊺⇮1994)%(⫛⫱⨽⊺⇮1242)⋓⊺⇮4645⪢⊺⇮1655)⪄(⊺⇮5509∼⊺⇮2932)⪮%⊝(≦∁⊺⇮2643)⨪↰⇹((⊺⇮8538⨐⩸⫘⊺⇮1328)≎⊠⪸(⊺⇮3215⫸⊐⊺⇮3389))=⊺⇮3979","reverse_text":"⊺⇮3979=(⊺⇮3319⪛⊺⇮4129⨽(⊺⇮3044-⊺⇮1994)%(⫛⫱⨽⊺⇮1242)⋓⊺⇮4645⪢⊺⇮1655)⪄(⊺⇮5509∼⊺⇮2932)⪮%⊝(≦∁⊺⇮2643)⨪↰⇹((⊺⇮8538⨐⩸⫘⊺⇮1328)≎⊠⪸(⊺⇮3215⫸⊐⊺⇮3389))","cot":[{"info":"⊺⇮3319⪛⊺⇮4129=⊺⇮3319","layer":3},{"info":"⊺⇮3044-⊺⇮1994=⊺⇮1050","layer":3},{"info":"⊺⇮3319⨽⊺⇮1050=⊺⇮-33049119","layer":2},{"info":"⫛⫱⨽⊺⇮1242=⊺⇮0","layer":3},{"info":"⊺⇮4645⪢⊺⇮1655=NaN","layer":3},{"info":"⊺⇮0⋓NaN=NaN","layer":2},{"info":"⊺⇮-33049119%NaN=NaN","layer":1},{"info":"⊺⇮5509∼⊺⇮2932=NaN","layer":3},{"info":"≦∁⊺⇮2643=⊺⇮2643","layer":3},{"info":"NaN⪮%⊝⊺⇮2643=NaN","layer":2},{"info":"⊺⇮8538⨐⩸⫘⊺⇮1328=NaN","layer":3},{"info":"⊺⇮3215⫸⊐⊺⇮3389=⊺⇮13431","layer":3},{"info":"NaN≎⊠⪸⊺⇮13431=NaN","layer":2},{"info":"NaN⨪↰⇹NaN=NaN","layer":1},{"info":"NaN⪄NaN=⊺⇮3979","layer":0}]}
{"id":595,"expression_no_base_symbol":"((∂$2558$)⨪↰⇹($1567$⨳⩥⨓$2170$)⇋≉)∀⇚≩(($2912$+$2370$)⫸⊐($1741$*$1104$)⋷$2591$≧⫂∧$3430$≎⊠⪸($3111$+⇶⊼$5403$))","expression":"((∂⊺⇮2558)⨪↰⇹(⊺⇮1567⨳⩥⨓⊺⇮2170)⇋≉)∀⇚≩((⊺⇮2912+⊺⇮2370)⫸⊐(⊺⇮1741*⊺⇮1104)⋷⊺⇮2591≧⫂∧⊺⇮3430≎⊠⪸(⊺⇮3111+⇶⊼⊺⇮5403))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1154,"operation_count":12,"complexity_ratio":96.16666666666667,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2558,"base":10}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1567,"base":10},"right_expr":{"type":"numeric_atoms","value":2170,"base":10}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2912,"base":10},"right_expr":{"type":"numeric_atoms","value":2370,"base":10}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1741,"base":10},"right_expr":{"type":"numeric_atoms","value":1104,"base":10}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2591,"base":10},"right_expr":{"type":"numeric_atoms","value":3430,"base":10}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3111,"base":10},"right_expr":{"type":"numeric_atoms","value":5403,"base":10}}}}},"used_operators":["LRNGc0VcxI","XIabStNQrY","tmPS8pqC7x","Uaa54Peajs","nCS4ZIUYfx","23Mk6UjR3U","mqXw5SEYmG","W4YGzv6Whe","9HNa5Wba9A","bJkvcejdHO","Ph9nP6C5qx","TpPTUOHfaN"],"dependent_operators":["X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2558","layer":4},{"info":"compute unary expreesion, input=2558, 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=1567","layer":4},{"info":"number node, value=2170","layer":4},{"info":"compute binary expreesion, left_input=1567, right_input=2170, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=603","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=603, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=nan","layer":1},{"info":"number node, value=2912","layer":4},{"info":"number node, value=2370","layer":4},{"info":"compute binary expreesion, left_input=2912, right_input=2370, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5282","layer":3},{"info":"number node, value=1741","layer":4},{"info":"number node, value=1104","layer":4},{"info":"compute binary expreesion, left_input=1741, right_input=1104, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=1922064","layer":3},{"info":"compute binary expreesion, left_input=5282, right_input=1922064, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=7688131","layer":2},{"info":"number node, value=2591","layer":4},{"info":"number node, value=3430","layer":4},{"info":"compute binary expreesion, left_input=2591, right_input=3430, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2957","layer":3},{"info":"number node, value=3111","layer":4},{"info":"number node, value=5403","layer":4},{"info":"compute binary expreesion, left_input=3111, right_input=5403, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=2957, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=7688131, right_input=67, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-7687997","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-7687997, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":10,"result_base":10,"text":"((∂⊺⇮2558)⨪↰⇹(⊺⇮1567⨳⩥⨓⊺⇮2170)⇋≉)∀⇚≩((⊺⇮2912+⊺⇮2370)⫸⊐(⊺⇮1741*⊺⇮1104)⋷⊺⇮2591≧⫂∧⊺⇮3430≎⊠⪸(⊺⇮3111+⇶⊼⊺⇮5403))=NaN","reverse_text":"NaN=((∂⊺⇮2558)⨪↰⇹(⊺⇮1567⨳⩥⨓⊺⇮2170)⇋≉)∀⇚≩((⊺⇮2912+⊺⇮2370)⫸⊐(⊺⇮1741*⊺⇮1104)⋷⊺⇮2591≧⫂∧⊺⇮3430≎⊠⪸(⊺⇮3111+⇶⊼⊺⇮5403))","cot":[{"info":"∂⊺⇮2558=NaN","layer":3},{"info":"⊺⇮1567⨳⩥⨓⊺⇮2170=⊺⇮603","layer":3},{"info":"NaN⨪↰⇹⊺⇮603=NaN","layer":2},{"info":"NaN⇋≉=NaN","layer":1},{"info":"⊺⇮2912+⊺⇮2370=⊺⇮5282","layer":3},{"info":"⊺⇮1741*⊺⇮1104=⊺⇮1922064","layer":3},{"info":"⊺⇮5282⫸⊐⊺⇮1922064=⊺⇮7688131","layer":2},{"info":"⊺⇮2591≧⫂∧⊺⇮3430=⊺⇮2957","layer":3},{"info":"⊺⇮3111+⇶⊼⊺⇮5403=NaN","layer":3},{"info":"⊺⇮2957≎⊠⪸NaN=⊺⇮67","layer":2},{"info":"⊺⇮7688131⋷⊺⇮67=⊺⇮-7687997","layer":1},{"info":"NaN∀⇚≩⊺⇮-7687997=NaN","layer":0}]}
{"id":596,"expression_no_base_symbol":"(⇁⨣⪵((≦∁$3894$)+$1234$⨸⪁$3495$))⪢(((↽≂$5022$)∲⫓$3060$∲⫓$4366$)⪛(↔(≤/$6854$)))","expression":"(⇁⨣⪵((≦∁⊺⇮3894)+⊺⇮1234⨸⪁⊺⇮3495))⪢(((↽≂⊺⇮5022)∲⫓⊺⇮3060∲⫓⊺⇮4366)⪛(↔(≤/⊺⇮6854)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":240,"operation_count":11,"complexity_ratio":21.818181818181817,"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":3894,"base":10}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1234,"base":10},"right_expr":{"type":"numeric_atoms","value":3495,"base":10}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":5022,"base":10}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3060,"base":10},"right_expr":{"type":"numeric_atoms","value":4366,"base":10}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":6854,"base":10}}}}},"used_operators":["dWAJyo7jo9","inkyxCbjAn","W4YGzv6Whe","9ICcGScMcE","g55IO6H4Gj","uFcxV4UQCh","i8ToyICDmI","u6S6b8DprG","ruOEQAzv1W","eLAdDNolq6"],"dependent_operators":["k8jYdgA6NY","B5M0gjZbta","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3894","layer":4},{"info":"compute unary expreesion, input=3894, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3894","layer":3},{"info":"number node, value=1234","layer":4},{"info":"number node, value=3495","layer":4},{"info":"compute binary expreesion, left_input=1234, right_input=3495, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9458","layer":3},{"info":"compute binary expreesion, left_input=3894, right_input=9458, op_id = W4YGzv6Whe binary_op_definition= 'None', output=13352","layer":2},{"info":"compute unary expreesion, input=13352, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"number node, value=5022","layer":4},{"info":"compute unary expreesion, input=5022, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-10044","layer":3},{"info":"number node, value=3060","layer":4},{"info":"number node, value=4366","layer":4},{"info":"compute binary expreesion, left_input=3060, right_input=4366, 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=-10044, right_input=0, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-10044","layer":2},{"info":"number node, value=6854","layer":4},{"info":"compute unary expreesion, input=6854, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-6370","layer":3},{"info":"compute unary expreesion, input=-6370, 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=-10044, right_input=-134, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-128","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-128, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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":10,"result_base":10,"text":"(⇁⨣⪵((≦∁⊺⇮3894)+⊺⇮1234⨸⪁⊺⇮3495))⪢(((↽≂⊺⇮5022)∲⫓⊺⇮3060∲⫓⊺⇮4366)⪛(↔(≤/⊺⇮6854)))=NaN","reverse_text":"NaN=(⇁⨣⪵((≦∁⊺⇮3894)+⊺⇮1234⨸⪁⊺⇮3495))⪢(((↽≂⊺⇮5022)∲⫓⊺⇮3060∲⫓⊺⇮4366)⪛(↔(≤/⊺⇮6854)))","cot":[{"info":"≦∁⊺⇮3894=⊺⇮3894","layer":3},{"info":"⊺⇮1234⨸⪁⊺⇮3495=⊺⇮9458","layer":3},{"info":"⊺⇮3894+⊺⇮9458=⊺⇮13352","layer":2},{"info":"⇁⨣⪵⊺⇮13352=NaN","layer":1},{"info":"↽≂⊺⇮5022=⊺⇮-10044","layer":3},{"info":"⊺⇮3060∲⫓⊺⇮4366=⊺⇮0","layer":3},{"info":"⊺⇮-10044∲⫓⊺⇮0=⊺⇮-10044","layer":2},{"info":"≤/⊺⇮6854=⊺⇮-6370","layer":3},{"info":"↔⊺⇮-6370=⊺⇮-134","layer":2},{"info":"⊺⇮-10044⪛⊺⇮-134=⊺⇮-128","layer":1},{"info":"NaN⪢⊺⇮-128=NaN","layer":0}]}
{"id":597,"expression_no_base_symbol":"((⨰⫟⨤($2217$⋥≓≎$1333$))⫸⊐($1182$∲⫓$8929$)↬(↩$3301$))∸","expression":"((⨰⫟⨤(⊺⇮2217⋥≓≎⊺⇮1333))⫸⊐(⊺⇮1182∲⫓⊺⇮8929)↬(↩⊺⇮3301))∸","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1292,"operation_count":7,"complexity_ratio":184.57142857142858,"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":2217,"base":10},"right_expr":{"type":"numeric_atoms","value":1333,"base":10}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1182,"base":10},"right_expr":{"type":"numeric_atoms","value":8929,"base":10}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":3301,"base":10}}}}},"used_operators":["o20kRiQErp","mqXw5SEYmG","Tw270M8GLb","Qy55tPpLXF","B5M0gjZbta","i8ToyICDmI","jLgFTUHLKL"],"dependent_operators":["tmPS8pqC7x","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"⊺⇮177","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2217","layer":4},{"info":"number node, value=1333","layer":4},{"info":"compute binary expreesion, left_input=2217, right_input=1333, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=482","layer":3},{"info":"compute unary expreesion, input=482, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=1182","layer":4},{"info":"number node, value=8929","layer":4},{"info":"compute binary expreesion, left_input=1182, right_input=8929, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=3301","layer":4},{"info":"compute unary expreesion, input=3301, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-23628","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-23628, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=-23628","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-23628, 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 = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":0}],"base":10,"result_base":10,"text":"((⨰⫟⨤(⊺⇮2217⋥≓≎⊺⇮1333))⫸⊐(⊺⇮1182∲⫓⊺⇮8929)↬(↩⊺⇮3301))∸=⊺⇮177","reverse_text":"⊺⇮177=((⨰⫟⨤(⊺⇮2217⋥≓≎⊺⇮1333))⫸⊐(⊺⇮1182∲⫓⊺⇮8929)↬(↩⊺⇮3301))∸","cot":[{"info":"⊺⇮2217⋥≓≎⊺⇮1333=⊺⇮482","layer":3},{"info":"⨰⫟⨤⊺⇮482=NaN","layer":2},{"info":"⊺⇮1182∲⫓⊺⇮8929=⊺⇮0","layer":3},{"info":"↩⊺⇮3301=⊺⇮-23628","layer":3},{"info":"⊺⇮0↬⊺⇮-23628=⊺⇮-23628","layer":2},{"info":"NaN⫸⊐⊺⇮-23628=NaN","layer":1},{"info":"NaN∸=⊺⇮177","layer":0}]}
{"id":598,"expression_no_base_symbol":"(($1242$⨐⩸⫘$6041$⪨≂$5066$⫸⊐$7438$)⩨($1808$⨓$4718$↛⩡⫤))≦≮≮","expression":"((⊺⇮1242⨐⩸⫘⊺⇮6041⪨≂⊺⇮5066⫸⊐⊺⇮7438)⩨(⊺⇮1808⨓⊺⇮4718↛⩡⫤))≦≮≮","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":19039,"operation_count":7,"complexity_ratio":2719.8571428571427,"tree":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1242,"base":10},"right_expr":{"type":"numeric_atoms","value":6041,"base":10}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":5066,"base":10},"right_expr":{"type":"numeric_atoms","value":7438,"base":10}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1808,"base":10},"right_expr":{"type":"numeric_atoms","value":4718,"base":10}}}}},"used_operators":["D4vGDi5EA2","2DlMacCsIx","sdazOOVcIp","fu6greOZ01","mqXw5SEYmG","FU0Cs4j7VP","3ViojmjbAp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1242","layer":4},{"info":"number node, value=6041","layer":4},{"info":"compute binary expreesion, left_input=1242, right_input=6041, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=5066","layer":4},{"info":"number node, value=7438","layer":4},{"info":"compute binary expreesion, left_input=5066, right_input=7438, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=29627","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=29627, op_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=1808","layer":4},{"info":"number node, value=4718","layer":4},{"info":"compute binary expreesion, left_input=1808, right_input=4718, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4721","layer":3},{"info":"compute unary expreesion, input=-4721, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-671192","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-671192, 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 = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1242⨐⩸⫘⊺⇮6041⪨≂⊺⇮5066⫸⊐⊺⇮7438)⩨(⊺⇮1808⨓⊺⇮4718↛⩡⫤))≦≮≮=NaN","reverse_text":"NaN=((⊺⇮1242⨐⩸⫘⊺⇮6041⪨≂⊺⇮5066⫸⊐⊺⇮7438)⩨(⊺⇮1808⨓⊺⇮4718↛⩡⫤))≦≮≮","cot":[{"info":"⊺⇮1242⨐⩸⫘⊺⇮6041=NaN","layer":3},{"info":"⊺⇮5066⫸⊐⊺⇮7438=⊺⇮29627","layer":3},{"info":"NaN⪨≂⊺⇮29627=NaN","layer":2},{"info":"⊺⇮1808⨓⊺⇮4718=⊺⇮-4721","layer":3},{"info":"⊺⇮-4721↛⩡⫤=⊺⇮-671192","layer":2},{"info":"NaN⩨⊺⇮-671192=NaN","layer":1},{"info":"NaN≦≮≮=NaN","layer":0}]}
{"id":599,"expression_no_base_symbol":"(($1057$≫≃)⨰($2217$⋓$2428$)⋷($5451$⨪↰⇹$1018$)⪢($3797$%$1254$))∀⇚≩($1395$≹⇙⪍$1655$⨎$1245$+⇶⊼$1857$)⊴($5453$⪄$4301$/(⫓⪴$5688$))","expression":"((⊺⇮1057≫≃)⨰(⊺⇮2217⋓⊺⇮2428)⋷(⊺⇮5451⨪↰⇹⊺⇮1018)⪢(⊺⇮3797%⊺⇮1254))∀⇚≩(⊺⇮1395≹⇙⪍⊺⇮1655⨎⊺⇮1245+⇶⊼⊺⇮1857)⊴(⊺⇮5453⪄⊺⇮4301/(⫓⪴⊺⇮5688))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":15211,"operation_count":15,"complexity_ratio":1014.0666666666667,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1057,"base":10}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2217,"base":10},"right_expr":{"type":"numeric_atoms","value":2428,"base":10}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":5451,"base":10},"right_expr":{"type":"numeric_atoms","value":1018,"base":10}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3797,"base":10},"right_expr":{"type":"numeric_atoms","value":1254,"base":10}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1395,"base":10},"right_expr":{"type":"numeric_atoms","value":1655,"base":10}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1245,"base":10},"right_expr":{"type":"numeric_atoms","value":1857,"base":10}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":5453,"base":10},"right_expr":{"type":"numeric_atoms","value":4301,"base":10}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":5688,"base":10}}}}},"used_operators":["LRNGc0VcxI","23Mk6UjR3U","eewbuw0ToL","X99M06cbEe","T2fj7uvVaJ","dWAJyo7jo9","tmPS8pqC7x","k8jYdgA6NY","Nsiff2A1zJ","rJVOvQCfKK","AHs5Up7iyr","TpPTUOHfaN","XhwjNDsVaA","SUmda5xLS4","eLxqMNBOBk"],"dependent_operators":["X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","k8jYdgA6NY","rJVOvQCfKK","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","AHs5Up7iyr","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1057","layer":4},{"info":"compute unary expreesion, input=1057, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=3515","layer":3},{"info":"number node, value=2217","layer":4},{"info":"number node, value=2428","layer":4},{"info":"compute binary expreesion, left_input=2217, right_input=2428, op_id = T2fj7uvVaJ binary_op_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=3515, right_input=0, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=3525","layer":2},{"info":"number node, value=5451","layer":4},{"info":"number node, value=1018","layer":4},{"info":"compute binary expreesion, left_input=5451, right_input=1018, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=5451","layer":3},{"info":"number node, value=3797","layer":4},{"info":"number node, value=1254","layer":4},{"info":"compute binary expreesion, left_input=3797, right_input=1254, op_id = k8jYdgA6NY binary_op_definition= 'None', output=35","layer":3},{"info":"compute binary expreesion, left_input=5451, right_input=35, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=3525, 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=1395","layer":4},{"info":"number node, value=1655","layer":4},{"info":"compute binary expreesion, left_input=1395, right_input=1655, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=1245","layer":4},{"info":"number node, value=1857","layer":4},{"info":"compute binary expreesion, left_input=1245, right_input=1857, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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 = 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=5453","layer":4},{"info":"number node, value=4301","layer":4},{"info":"compute binary expreesion, left_input=5453, right_input=4301, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-820337","layer":3},{"info":"number node, value=5688","layer":4},{"info":"compute unary expreesion, input=5688, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=32353344","layer":3},{"info":"compute binary expreesion, left_input=-820337, right_input=32353344, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1, 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 = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":10,"result_base":10,"text":"((⊺⇮1057≫≃)⨰(⊺⇮2217⋓⊺⇮2428)⋷(⊺⇮5451⨪↰⇹⊺⇮1018)⪢(⊺⇮3797%⊺⇮1254))∀⇚≩(⊺⇮1395≹⇙⪍⊺⇮1655⨎⊺⇮1245+⇶⊼⊺⇮1857)⊴(⊺⇮5453⪄⊺⇮4301/(⫓⪴⊺⇮5688))=NaN","reverse_text":"NaN=((⊺⇮1057≫≃)⨰(⊺⇮2217⋓⊺⇮2428)⋷(⊺⇮5451⨪↰⇹⊺⇮1018)⪢(⊺⇮3797%⊺⇮1254))∀⇚≩(⊺⇮1395≹⇙⪍⊺⇮1655⨎⊺⇮1245+⇶⊼⊺⇮1857)⊴(⊺⇮5453⪄⊺⇮4301/(⫓⪴⊺⇮5688))","cot":[{"info":"⊺⇮1057≫≃=⊺⇮3515","layer":3},{"info":"⊺⇮2217⋓⊺⇮2428=⊺⇮0","layer":3},{"info":"⊺⇮3515⨰⊺⇮0=⊺⇮3525","layer":2},{"info":"⊺⇮5451⨪↰⇹⊺⇮1018=⊺⇮5451","layer":3},{"info":"⊺⇮3797%⊺⇮1254=⊺⇮35","layer":3},{"info":"⊺⇮5451⪢⊺⇮35=NaN","layer":2},{"info":"⊺⇮3525⋷NaN=NaN","layer":1},{"info":"⊺⇮1395≹⇙⪍⊺⇮1655=NaN","layer":3},{"info":"⊺⇮1245+⇶⊼⊺⇮1857=NaN","layer":3},{"info":"NaN⨎NaN=NaN","layer":2},{"info":"⊺⇮5453⪄⊺⇮4301=⊺⇮-820337","layer":3},{"info":"⫓⪴⊺⇮5688=⊺⇮32353344","layer":3},{"info":"⊺⇮-820337/⊺⇮32353344=⊺⇮-1","layer":2},{"info":"NaN⊴⊺⇮-1=NaN","layer":1},{"info":"NaN∀⇚≩NaN=NaN","layer":0}]}
{"id":600,"expression_no_base_symbol":"(⊥$4083$)⪢($1027$⨓$5116$)⨪↰⇹(($5177$⊠≄⫣)+⇶⊼$2119$⨰$1120$)⨐⩸⫘((⇁⨣⪵($1345$⊉≛↸$3145$))-$4386$⪮%⊝$2993$↺$1281$⋳⪒$1483$)","expression":"(⊥⊺⇮4083)⪢(⊺⇮1027⨓⊺⇮5116)⨪↰⇹((⊺⇮5177⊠≄⫣)+⇶⊼⊺⇮2119⨰⊺⇮1120)⨐⩸⫘((⇁⨣⪵(⊺⇮1345⊉≛↸⊺⇮3145))-⊺⇮4386⪮%⊝⊺⇮2993↺⊺⇮1281⋳⪒⊺⇮1483)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":10276,"operation_count":14,"complexity_ratio":734.0,"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":4083,"base":10}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1027,"base":10},"right_expr":{"type":"numeric_atoms","value":5116,"base":10}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":5177,"base":10}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2119,"base":10},"right_expr":{"type":"numeric_atoms","value":1120,"base":10}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1345,"base":10},"right_expr":{"type":"numeric_atoms","value":3145,"base":10}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4386,"base":10},"right_expr":{"type":"numeric_atoms","value":2993,"base":10}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1281,"base":10},"right_expr":{"type":"numeric_atoms","value":1483,"base":10}}}}},"used_operators":["fu6greOZ01","tmPS8pqC7x","dWAJyo7jo9","Q3PJZHRvZv","3ViojmjbAp","TpPTUOHfaN","DIvbN7qnHd","eewbuw0ToL","rysDP5nf3Z","inkyxCbjAn","DZ8iAZOCBD","7j4O788W3g","IWmyXbctLI","12rbrZMWeM"],"dependent_operators":["3ViojmjbAp","rJVOvQCfKK","k8jYdgA6NY","fu6greOZ01","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4083","layer":4},{"info":"compute unary expreesion, input=4083, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=1027","layer":4},{"info":"number node, value=5116","layer":4},{"info":"compute binary expreesion, left_input=1027, right_input=5116, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5119","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5119, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=5177","layer":4},{"info":"compute unary expreesion, input=5177, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=2119","layer":4},{"info":"number node, value=1120","layer":4},{"info":"compute binary expreesion, left_input=2119, right_input=1120, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1009","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1009, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":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=1345","layer":4},{"info":"number node, value=3145","layer":4},{"info":"compute binary expreesion, left_input=1345, right_input=3145, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2690","layer":3},{"info":"compute unary expreesion, input=2690, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"number node, value=4386","layer":4},{"info":"number node, value=2993","layer":4},{"info":"compute binary expreesion, left_input=4386, right_input=2993, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=9088","layer":3},{"info":"number node, value=1281","layer":4},{"info":"number node, value=1483","layer":4},{"info":"compute binary expreesion, left_input=1281, right_input=1483, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=792","layer":3},{"info":"compute binary expreesion, left_input=9088, right_input=792, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=792","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=792, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊥⊺⇮4083)⪢(⊺⇮1027⨓⊺⇮5116)⨪↰⇹((⊺⇮5177⊠≄⫣)+⇶⊼⊺⇮2119⨰⊺⇮1120)⨐⩸⫘((⇁⨣⪵(⊺⇮1345⊉≛↸⊺⇮3145))-⊺⇮4386⪮%⊝⊺⇮2993↺⊺⇮1281⋳⪒⊺⇮1483)=NaN","reverse_text":"NaN=(⊥⊺⇮4083)⪢(⊺⇮1027⨓⊺⇮5116)⨪↰⇹((⊺⇮5177⊠≄⫣)+⇶⊼⊺⇮2119⨰⊺⇮1120)⨐⩸⫘((⇁⨣⪵(⊺⇮1345⊉≛↸⊺⇮3145))-⊺⇮4386⪮%⊝⊺⇮2993↺⊺⇮1281⋳⪒⊺⇮1483)","cot":[{"info":"⊥⊺⇮4083=NaN","layer":3},{"info":"⊺⇮1027⨓⊺⇮5116=⊺⇮-5119","layer":3},{"info":"NaN⪢⊺⇮-5119=NaN","layer":2},{"info":"⊺⇮5177⊠≄⫣=⊺⇮0","layer":3},{"info":"⊺⇮2119⨰⊺⇮1120=⊺⇮1009","layer":3},{"info":"⊺⇮0+⇶⊼⊺⇮1009=NaN","layer":2},{"info":"NaN⨪↰⇹NaN=NaN","layer":1},{"info":"⊺⇮1345⊉≛↸⊺⇮3145=⊺⇮2690","layer":3},{"info":"⇁⨣⪵⊺⇮2690=NaN","layer":2},{"info":"⊺⇮4386⪮%⊝⊺⇮2993=⊺⇮9088","layer":3},{"info":"⊺⇮1281⋳⪒⊺⇮1483=⊺⇮792","layer":3},{"info":"⊺⇮9088↺⊺⇮792=⊺⇮792","layer":2},{"info":"NaN-⊺⇮792=NaN","layer":1},{"info":"NaN⨐⩸⫘NaN=NaN","layer":0}]}
{"id":601,"expression_no_base_symbol":"(($1115$⊴$1220$↪⪝)⫸⊐($3442$⇷$1914$)⪘⫢(⇁⨣⪵$5500$))⋥≓≎$5182$⨟⋌⩍$1026$⩷∴$1080$≹⇙⪍$1567$⋝⋈⪟(⨑⩽⪐$1382$⋓$2294$)","expression":"((⊺⇮1115⊴⊺⇮1220↪⪝)⫸⊐(⊺⇮3442⇷⊺⇮1914)⪘⫢(⇁⨣⪵⊺⇮5500))⋥≓≎⊺⇮5182⨟⋌⩍⊺⇮1026⩷∴⊺⇮1080≹⇙⪍⊺⇮1567⋝⋈⪟(⨑⩽⪐⊺⇮1382⋓⊺⇮2294)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":49472,"operation_count":13,"complexity_ratio":3805.5384615384614,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1115,"base":10},"right_expr":{"type":"numeric_atoms","value":1220,"base":10}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3442,"base":10},"right_expr":{"type":"numeric_atoms","value":1914,"base":10}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":5500,"base":10}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":5182,"base":10},"right_expr":{"type":"numeric_atoms","value":1026,"base":10}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1080,"base":10},"right_expr":{"type":"numeric_atoms","value":1567,"base":10}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1382,"base":10},"right_expr":{"type":"numeric_atoms","value":2294,"base":10}}}}},"used_operators":["Qy55tPpLXF","mqXw5SEYmG","l07mrZUIn9","Nsiff2A1zJ","oacrs7FA3X","mp7IySMOzn","inkyxCbjAn","2DDjHMKMc0","9FxExcQeMw","rGHVDoGpnC","AHs5Up7iyr","AF7qkfDlqP","T2fj7uvVaJ"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9HNa5Wba9A","2DDjHMKMc0","dWAJyo7jo9","14qkJME0vr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Tcnh7f0tEr","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⊺⇮67","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1115","layer":4},{"info":"number node, value=1220","layer":4},{"info":"compute binary expreesion, left_input=1115, right_input=1220, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=nan","layer":2},{"info":"number node, value=3442","layer":4},{"info":"number node, value=1914","layer":4},{"info":"compute binary expreesion, left_input=3442, right_input=1914, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3828","layer":3},{"info":"number node, value=5500","layer":4},{"info":"compute unary expreesion, input=5500, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3828, 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 = 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=5182","layer":4},{"info":"number node, value=1026","layer":4},{"info":"compute binary expreesion, left_input=5182, right_input=1026, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1080","layer":4},{"info":"number node, value=1567","layer":4},{"info":"compute binary expreesion, left_input=1080, right_input=1567, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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 = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"number node, value=1382","layer":4},{"info":"number node, value=2294","layer":4},{"info":"compute binary expreesion, left_input=1382, right_input=2294, op_id = T2fj7uvVaJ binary_op_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 = 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":"compute binary expreesion, left_input=nan, right_input=789, 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 = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1115⊴⊺⇮1220↪⪝)⫸⊐(⊺⇮3442⇷⊺⇮1914)⪘⫢(⇁⨣⪵⊺⇮5500))⋥≓≎⊺⇮5182⨟⋌⩍⊺⇮1026⩷∴⊺⇮1080≹⇙⪍⊺⇮1567⋝⋈⪟(⨑⩽⪐⊺⇮1382⋓⊺⇮2294)=⊺⇮67","reverse_text":"⊺⇮67=((⊺⇮1115⊴⊺⇮1220↪⪝)⫸⊐(⊺⇮3442⇷⊺⇮1914)⪘⫢(⇁⨣⪵⊺⇮5500))⋥≓≎⊺⇮5182⨟⋌⩍⊺⇮1026⩷∴⊺⇮1080≹⇙⪍⊺⇮1567⋝⋈⪟(⨑⩽⪐⊺⇮1382⋓⊺⇮2294)","cot":[{"info":"⊺⇮1115⊴⊺⇮1220=NaN","layer":3},{"info":"NaN↪⪝=NaN","layer":2},{"info":"⊺⇮3442⇷⊺⇮1914=⊺⇮3828","layer":3},{"info":"⇁⨣⪵⊺⇮5500=NaN","layer":3},{"info":"⊺⇮3828⪘⫢NaN=NaN","layer":2},{"info":"NaN⫸⊐NaN=NaN","layer":1},{"info":"⊺⇮5182⨟⋌⩍⊺⇮1026=NaN","layer":3},{"info":"⊺⇮1080≹⇙⪍⊺⇮1567=NaN","layer":3},{"info":"NaN⩷∴NaN=NaN","layer":2},{"info":"⊺⇮1382⋓⊺⇮2294=⊺⇮0","layer":3},{"info":"⨑⩽⪐⊺⇮0=⊺⇮789","layer":2},{"info":"NaN⋝⋈⪟⊺⇮789=NaN","layer":1},{"info":"NaN⋥≓≎NaN=⊺⇮67","layer":0}]}
{"id":602,"expression_no_base_symbol":"⨑⩽⪐(($1853$∑⇟⊟$2886$)⪢($4982$↬$4090$)*(⨞⊢$1508$⋓$1100$))","expression":"⨑⩽⪐((⊺⇮1853∑⇟⊟⊺⇮2886)⪢(⊺⇮4982↬⊺⇮4090)*(⨞⊢⊺⇮1508⋓⊺⇮1100))","highest_n_order":5,"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":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1853,"base":10},"right_expr":{"type":"numeric_atoms","value":2886,"base":10}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4982,"base":10},"right_expr":{"type":"numeric_atoms","value":4090,"base":10}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1508,"base":10},"right_expr":{"type":"numeric_atoms","value":1100,"base":10}}}}},"used_operators":["AF7qkfDlqP","9HNa5Wba9A","dWAJyo7jo9","U7g4x0WXJJ","B5M0gjZbta","xUOZtlo3hN","T2fj7uvVaJ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","k8jYdgA6NY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1853","layer":4},{"info":"number node, value=2886","layer":4},{"info":"compute binary expreesion, left_input=1853, right_input=2886, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=4982","layer":4},{"info":"number node, value=4090","layer":4},{"info":"compute binary expreesion, left_input=4982, right_input=4090, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1508","layer":4},{"info":"number node, value=1100","layer":4},{"info":"compute binary expreesion, left_input=1508, right_input=1100, op_id = T2fj7uvVaJ binary_op_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":"compute binary expreesion, left_input=nan, right_input=-174, op_id = 9HNa5Wba9A binary_op_definition= 'None', 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":10,"result_base":10,"text":"⨑⩽⪐((⊺⇮1853∑⇟⊟⊺⇮2886)⪢(⊺⇮4982↬⊺⇮4090)*(⨞⊢⊺⇮1508⋓⊺⇮1100))=NaN","reverse_text":"NaN=⨑⩽⪐((⊺⇮1853∑⇟⊟⊺⇮2886)⪢(⊺⇮4982↬⊺⇮4090)*(⨞⊢⊺⇮1508⋓⊺⇮1100))","cot":[{"info":"⊺⇮1853∑⇟⊟⊺⇮2886=NaN","layer":3},{"info":"⊺⇮4982↬⊺⇮4090=NaN","layer":3},{"info":"NaN⪢NaN=NaN","layer":2},{"info":"⊺⇮1508⋓⊺⇮1100=⊺⇮0","layer":3},{"info":"⨞⊢⊺⇮0=⊺⇮-174","layer":2},{"info":"NaN*⊺⇮-174=NaN","layer":1},{"info":"⨑⩽⪐NaN=NaN","layer":0}]}
{"id":603,"expression_no_base_symbol":"(⪲⇎$1638$)⪛($2034$⇋≉)⇷($1196$≎⊠⪸$1348$⫥∨⫟($6027$≋⫹))≭(((⊙↵-$1967$)⪨≂$1681$↬$2901$)⪠⩆⊳)","expression":"(⪲⇎⊺⇮1638)⪛(⊺⇮2034⇋≉)⇷(⊺⇮1196≎⊠⪸⊺⇮1348⫥∨⫟(⊺⇮6027≋⫹))≭(((⊙↵-⊺⇮1967)⪨≂⊺⇮1681↬⊺⇮2901)⪠⩆⊳)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":48332,"operation_count":12,"complexity_ratio":4027.6666666666665,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1638,"base":10}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":2034,"base":10}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1196,"base":10},"right_expr":{"type":"numeric_atoms","value":1348,"base":10}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":6027,"base":10}}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1967,"base":10}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1681,"base":10},"right_expr":{"type":"numeric_atoms","value":2901,"base":10}}}}},"used_operators":["rxpJgHHUmx","mp7IySMOzn","uFcxV4UQCh","XPYlsWDdGa","XIabStNQrY","KYD54nUTWz","bJkvcejdHO","N41Kp7NANJ","JLbD19bQDL","sdazOOVcIp","oWn0xqSxBt","B5M0gjZbta"],"dependent_operators":["AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1638","layer":4},{"info":"compute unary expreesion, input=1638, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3276","layer":3},{"info":"number node, value=2034","layer":4},{"info":"compute unary expreesion, input=2034, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=3970","layer":3},{"info":"compute binary expreesion, left_input=3276, right_input=3970, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3276","layer":2},{"info":"number node, value=1196","layer":4},{"info":"number node, value=1348","layer":4},{"info":"compute binary expreesion, left_input=1196, right_input=1348, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=309291","layer":3},{"info":"number node, value=6027","layer":4},{"info":"compute unary expreesion, input=6027, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-12054","layer":3},{"info":"compute binary expreesion, left_input=309291, right_input=-12054, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3276, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"number node, value=1967","layer":4},{"info":"compute unary expreesion, input=1967, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=1681","layer":4},{"info":"number node, value=2901","layer":4},{"info":"compute binary expreesion, left_input=1681, right_input=2901, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=nan, op_id = 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 = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":10,"result_base":10,"text":"(⪲⇎⊺⇮1638)⪛(⊺⇮2034⇋≉)⇷(⊺⇮1196≎⊠⪸⊺⇮1348⫥∨⫟(⊺⇮6027≋⫹))≭(((⊙↵-⊺⇮1967)⪨≂⊺⇮1681↬⊺⇮2901)⪠⩆⊳)=NaN","reverse_text":"NaN=(⪲⇎⊺⇮1638)⪛(⊺⇮2034⇋≉)⇷(⊺⇮1196≎⊠⪸⊺⇮1348⫥∨⫟(⊺⇮6027≋⫹))≭(((⊙↵-⊺⇮1967)⪨≂⊺⇮1681↬⊺⇮2901)⪠⩆⊳)","cot":[{"info":"⪲⇎⊺⇮1638=⊺⇮3276","layer":3},{"info":"⊺⇮2034⇋≉=⊺⇮3970","layer":3},{"info":"⊺⇮3276⪛⊺⇮3970=⊺⇮3276","layer":2},{"info":"⊺⇮1196≎⊠⪸⊺⇮1348=⊺⇮309291","layer":3},{"info":"⊺⇮6027≋⫹=⊺⇮-12054","layer":3},{"info":"⊺⇮309291⫥∨⫟⊺⇮-12054=NaN","layer":2},{"info":"⊺⇮3276⇷NaN=NaN","layer":1},{"info":"⊙↵-⊺⇮1967=⊺⇮-1","layer":3},{"info":"⊺⇮1681↬⊺⇮2901=NaN","layer":3},{"info":"⊺⇮-1⪨≂NaN=NaN","layer":2},{"info":"NaN⪠⩆⊳=NaN","layer":1},{"info":"NaN≭NaN=NaN","layer":0}]}
{"id":604,"expression_no_base_symbol":"(⫛⫱⨽((↣≠⋷$2314$)≋⫹))≎⊠⪸($5416$⇷$3519$-(⫛⫱⨽$3163$)⫡⨏($1055$∲⫓$2646$)⪮%⊝(↣≠⋷$6582$))","expression":"(⫛⫱⨽((↣≠⋷⊺⇮2314)≋⫹))≎⊠⪸(⊺⇮5416⇷⊺⇮3519-(⫛⫱⨽⊺⇮3163)⫡⨏(⊺⇮1055∲⫓⊺⇮2646)⪮%⊝(↣≠⋷⊺⇮6582))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":78203,"operation_count":11,"complexity_ratio":7109.363636363636,"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":2314,"base":10}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":5416,"base":10},"right_expr":{"type":"numeric_atoms","value":3519,"base":10}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":3163,"base":10}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1055,"base":10},"right_expr":{"type":"numeric_atoms","value":2646,"base":10}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":6582,"base":10}}}}},"used_operators":["bJkvcejdHO","DlLNRPXxWL","N41Kp7NANJ","Asc51vEJeQ","QMFrweE19q","rysDP5nf3Z","mp7IySMOzn","IWmyXbctLI","i8ToyICDmI"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮67","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=2314","layer":4},{"info":"compute unary expreesion, input=2314, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', 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 unary expreesion, input=nan, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":1},{"info":"number node, value=5416","layer":4},{"info":"number node, value=3519","layer":4},{"info":"compute binary expreesion, left_input=5416, right_input=3519, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=7038","layer":3},{"info":"number node, value=3163","layer":4},{"info":"compute unary expreesion, input=3163, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=7038, right_input=0, op_id = rysDP5nf3Z binary_op_definition= 'None', output=7038","layer":2},{"info":"number node, value=1055","layer":4},{"info":"number node, value=2646","layer":4},{"info":"compute binary expreesion, left_input=1055, right_input=2646, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=6582","layer":4},{"info":"compute unary expreesion, input=6582, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', 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 binary expreesion, left_input=7038, 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 = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":10,"result_base":10,"text":"(⫛⫱⨽((↣≠⋷⊺⇮2314)≋⫹))≎⊠⪸(⊺⇮5416⇷⊺⇮3519-(⫛⫱⨽⊺⇮3163)⫡⨏(⊺⇮1055∲⫓⊺⇮2646)⪮%⊝(↣≠⋷⊺⇮6582))=⊺⇮67","reverse_text":"⊺⇮67=(⫛⫱⨽((↣≠⋷⊺⇮2314)≋⫹))≎⊠⪸(⊺⇮5416⇷⊺⇮3519-(⫛⫱⨽⊺⇮3163)⫡⨏(⊺⇮1055∲⫓⊺⇮2646)⪮%⊝(↣≠⋷⊺⇮6582))","cot":[{"info":"↣≠⋷⊺⇮2314=NaN","layer":3},{"info":"NaN≋⫹=NaN","layer":2},{"info":"⫛⫱⨽NaN=NaN","layer":1},{"info":"⊺⇮5416⇷⊺⇮3519=⊺⇮7038","layer":3},{"info":"⫛⫱⨽⊺⇮3163=⊺⇮0","layer":3},{"info":"⊺⇮7038-⊺⇮0=⊺⇮7038","layer":2},{"info":"⊺⇮1055∲⫓⊺⇮2646=⊺⇮0","layer":3},{"info":"↣≠⋷⊺⇮6582=NaN","layer":3},{"info":"⊺⇮0⪮%⊝NaN=NaN","layer":2},{"info":"⊺⇮7038⫡⨏NaN=NaN","layer":1},{"info":"NaN≎⊠⪸NaN=⊺⇮67","layer":0}]}
{"id":605,"expression_no_base_symbol":"(⪲⇎((⨞⊢$1256$)⊭∹↮))⩨($1593$⪨≂$1174$)↬($8068$⪄$4763$)⨐⩸⫘(($4869$*$1227$)↺$1239$⨰$1025$)","expression":"(⪲⇎((⨞⊢⊺⇮1256)⊭∹↮))⩨(⊺⇮1593⪨≂⊺⇮1174)↬(⊺⇮8068⪄⊺⇮4763)⨐⩸⫘((⊺⇮4869*⊺⇮1227)↺⊺⇮1239⨰⊺⇮1025)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":52865,"operation_count":11,"complexity_ratio":4805.909090909091,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1256,"base":10}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1593,"base":10},"right_expr":{"type":"numeric_atoms","value":1174,"base":10}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":8068,"base":10},"right_expr":{"type":"numeric_atoms","value":4763,"base":10}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4869,"base":10},"right_expr":{"type":"numeric_atoms","value":1227,"base":10}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1239,"base":10},"right_expr":{"type":"numeric_atoms","value":1025,"base":10}}}}},"used_operators":["2DlMacCsIx","XPYlsWDdGa","xNBdhnnwKq","xUOZtlo3hN","fu6greOZ01","B5M0gjZbta","sdazOOVcIp","SUmda5xLS4","7j4O788W3g","9HNa5Wba9A","eewbuw0ToL"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1256","layer":4},{"info":"compute unary expreesion, input=1256, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1430","layer":3},{"info":"compute unary expreesion, input=-1430, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=-1430","layer":2},{"info":"compute unary expreesion, input=-1430, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-2860","layer":1},{"info":"number node, value=1593","layer":4},{"info":"number node, value=1174","layer":4},{"info":"compute binary expreesion, left_input=1593, right_input=1174, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=940","layer":3},{"info":"number node, value=8068","layer":4},{"info":"number node, value=4763","layer":4},{"info":"compute binary expreesion, left_input=8068, right_input=4763, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1209205","layer":3},{"info":"compute binary expreesion, left_input=940, right_input=-1209205, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=4869","layer":4},{"info":"number node, value=1227","layer":4},{"info":"compute binary expreesion, left_input=4869, right_input=1227, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=5974263","layer":3},{"info":"number node, value=1239","layer":4},{"info":"number node, value=1025","layer":4},{"info":"compute binary expreesion, left_input=1239, right_input=1025, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=224","layer":3},{"info":"compute binary expreesion, left_input=5974263, right_input=224, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=224","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=224, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-227","layer":1},{"info":"compute binary expreesion, left_input=-2860, right_input=-227, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":0}],"base":10,"result_base":10,"text":"(⪲⇎((⨞⊢⊺⇮1256)⊭∹↮))⩨(⊺⇮1593⪨≂⊺⇮1174)↬(⊺⇮8068⪄⊺⇮4763)⨐⩸⫘((⊺⇮4869*⊺⇮1227)↺⊺⇮1239⨰⊺⇮1025)=⊺⇮0","reverse_text":"⊺⇮0=(⪲⇎((⨞⊢⊺⇮1256)⊭∹↮))⩨(⊺⇮1593⪨≂⊺⇮1174)↬(⊺⇮8068⪄⊺⇮4763)⨐⩸⫘((⊺⇮4869*⊺⇮1227)↺⊺⇮1239⨰⊺⇮1025)","cot":[{"info":"⨞⊢⊺⇮1256=⊺⇮-1430","layer":3},{"info":"⊺⇮-1430⊭∹↮=⊺⇮-1430","layer":2},{"info":"⪲⇎⊺⇮-1430=⊺⇮-2860","layer":1},{"info":"⊺⇮1593⪨≂⊺⇮1174=⊺⇮940","layer":3},{"info":"⊺⇮8068⪄⊺⇮4763=⊺⇮-1209205","layer":3},{"info":"⊺⇮940↬⊺⇮-1209205=NaN","layer":2},{"info":"⊺⇮4869*⊺⇮1227=⊺⇮5974263","layer":3},{"info":"⊺⇮1239⨰⊺⇮1025=⊺⇮224","layer":3},{"info":"⊺⇮5974263↺⊺⇮224=⊺⇮224","layer":2},{"info":"NaN⨐⩸⫘⊺⇮224=⊺⇮-227","layer":1},{"info":"⊺⇮-2860⩨⊺⇮-227=⊺⇮0","layer":0}]}
{"id":606,"expression_no_base_symbol":"⨈⫕(($5034$⪠⩆⊳)≧⫂∧$2382$⨓$4661$)⨟⋌⩍($1134$⨪↰⇹$5340$)⪮%⊝($4258$∼$1193$)","expression":"⨈⫕((⊺⇮5034⪠⩆⊳)≧⫂∧⊺⇮2382⨓⊺⇮4661)⨟⋌⩍(⊺⇮1134⨪↰⇹⊺⇮5340)⪮%⊝(⊺⇮4258∼⊺⇮1193)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6290,"operation_count":8,"complexity_ratio":786.25,"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":5034,"base":10}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2382,"base":10},"right_expr":{"type":"numeric_atoms","value":4661,"base":10}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1134,"base":10},"right_expr":{"type":"numeric_atoms","value":5340,"base":10}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4258,"base":10},"right_expr":{"type":"numeric_atoms","value":1193,"base":10}}}}},"used_operators":["megm06wKyl","rGHVDoGpnC","Ph9nP6C5qx","JLbD19bQDL","3ViojmjbAp","IWmyXbctLI","tmPS8pqC7x","DyGG3AbaNP"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rJVOvQCfKK","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"⊺⇮-21","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5034","layer":4},{"info":"compute unary expreesion, input=5034, 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=2382","layer":4},{"info":"number node, value=4661","layer":4},{"info":"compute binary expreesion, left_input=2382, right_input=4661, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4664","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-4664, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4664","layer":2},{"info":"number node, value=1134","layer":4},{"info":"number node, value=5340","layer":4},{"info":"compute binary expreesion, left_input=1134, right_input=5340, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1134","layer":3},{"info":"number node, value=4258","layer":4},{"info":"number node, value=1193","layer":4},{"info":"compute binary expreesion, left_input=4258, right_input=1193, 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=1134, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4664, 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 = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":0}],"base":10,"result_base":10,"text":"⨈⫕((⊺⇮5034⪠⩆⊳)≧⫂∧⊺⇮2382⨓⊺⇮4661)⨟⋌⩍(⊺⇮1134⨪↰⇹⊺⇮5340)⪮%⊝(⊺⇮4258∼⊺⇮1193)=⊺⇮-21","reverse_text":"⊺⇮-21=⨈⫕((⊺⇮5034⪠⩆⊳)≧⫂∧⊺⇮2382⨓⊺⇮4661)⨟⋌⩍(⊺⇮1134⨪↰⇹⊺⇮5340)⪮%⊝(⊺⇮4258∼⊺⇮1193)","cot":[{"info":"⊺⇮5034⪠⩆⊳=⊺⇮0","layer":3},{"info":"⊺⇮2382⨓⊺⇮4661=⊺⇮-4664","layer":3},{"info":"⊺⇮0≧⫂∧⊺⇮-4664=⊺⇮4664","layer":2},{"info":"⊺⇮1134⨪↰⇹⊺⇮5340=⊺⇮1134","layer":3},{"info":"⊺⇮4258∼⊺⇮1193=NaN","layer":3},{"info":"⊺⇮1134⪮%⊝NaN=NaN","layer":2},{"info":"⊺⇮4664⨟⋌⩍NaN=NaN","layer":1},{"info":"⨈⫕NaN=⊺⇮-21","layer":0}]}
{"id":607,"expression_no_base_symbol":"↔(($1311$⩤)⊴(⨞⊢$1337$)*($5318$∑⇟⊟$6135$⊭↱$1888$⨐⩸⫘$3048$))","expression":"↔((⊺⇮1311⩤)⊴(⨞⊢⊺⇮1337)*(⊺⇮5318∑⇟⊟⊺⇮6135⊭↱⊺⇮1888⨐⩸⫘⊺⇮3048))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1551,"operation_count":8,"complexity_ratio":193.875,"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":1311,"base":10}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1337,"base":10}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":5318,"base":10},"right_expr":{"type":"numeric_atoms","value":6135,"base":10}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1888,"base":10},"right_expr":{"type":"numeric_atoms","value":3048,"base":10}}}}},"used_operators":["ruOEQAzv1W","9HNa5Wba9A","Nsiff2A1zJ","Z2TMIBDE3Q","xUOZtlo3hN","COABgblf1C","U7g4x0WXJJ","fu6greOZ01"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","3ViojmjbAp"],"result":"⊺⇮-134","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1311","layer":4},{"info":"compute unary expreesion, input=1311, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1311","layer":3},{"info":"number node, value=1337","layer":4},{"info":"compute unary expreesion, input=1337, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1511","layer":3},{"info":"compute binary expreesion, left_input=-1311, right_input=-1511, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=5318","layer":4},{"info":"number node, value=6135","layer":4},{"info":"compute binary expreesion, left_input=5318, right_input=6135, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1888","layer":4},{"info":"number node, value=3048","layer":4},{"info":"compute binary expreesion, left_input=1888, right_input=3048, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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 = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"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":10,"result_base":10,"text":"↔((⊺⇮1311⩤)⊴(⨞⊢⊺⇮1337)*(⊺⇮5318∑⇟⊟⊺⇮6135⊭↱⊺⇮1888⨐⩸⫘⊺⇮3048))=⊺⇮-134","reverse_text":"⊺⇮-134=↔((⊺⇮1311⩤)⊴(⨞⊢⊺⇮1337)*(⊺⇮5318∑⇟⊟⊺⇮6135⊭↱⊺⇮1888⨐⩸⫘⊺⇮3048))","cot":[{"info":"⊺⇮1311⩤=⊺⇮-1311","layer":3},{"info":"⨞⊢⊺⇮1337=⊺⇮-1511","layer":3},{"info":"⊺⇮-1311⊴⊺⇮-1511=NaN","layer":2},{"info":"⊺⇮5318∑⇟⊟⊺⇮6135=NaN","layer":3},{"info":"⊺⇮1888⨐⩸⫘⊺⇮3048=NaN","layer":3},{"info":"NaN⊭↱NaN=NaN","layer":2},{"info":"NaN*NaN=NaN","layer":1},{"info":"↔NaN=⊺⇮-134","layer":0}]}
{"id":608,"expression_no_base_symbol":"⪲⇎((+⊝⨔($1961$⨐⩸⫘$2110$))⊠≄⫣)","expression":"⪲⇎((+⊝⨔(⊺⇮1961⨐⩸⫘⊺⇮2110))⊠≄⫣)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":26,"operation_count":4,"complexity_ratio":6.5,"tree":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1961,"base":10},"right_expr":{"type":"numeric_atoms","value":2110,"base":10}}}}},"used_operators":["XPYlsWDdGa","DIvbN7qnHd","DhbWaqg5eL","fu6greOZ01"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","3ViojmjbAp"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=1961","layer":4},{"info":"number node, value=2110","layer":4},{"info":"compute binary expreesion, left_input=1961, right_input=2110, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":2},{"info":"compute unary expreesion, input=1522, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=0","layer":0}],"base":10,"result_base":10,"text":"⪲⇎((+⊝⨔(⊺⇮1961⨐⩸⫘⊺⇮2110))⊠≄⫣)=⊺⇮0","reverse_text":"⊺⇮0=⪲⇎((+⊝⨔(⊺⇮1961⨐⩸⫘⊺⇮2110))⊠≄⫣)","cot":[{"info":"⊺⇮1961⨐⩸⫘⊺⇮2110=NaN","layer":3},{"info":"+⊝⨔NaN=⊺⇮1522","layer":2},{"info":"⊺⇮1522⊠≄⫣=⊺⇮0","layer":1},{"info":"⪲⇎⊺⇮0=⊺⇮0","layer":0}]}
{"id":609,"expression_no_base_symbol":"(((⇁⨣⪵$1458$)∲⫓($1218$⊪))≫≃)⩨(($1043$⨐⩸⫘$2090$⪄$1458$⩚⊴⇥$2151$)⫌⩹⨱)","expression":"(((⇁⨣⪵⊺⇮1458)∲⫓(⊺⇮1218⊪))≫≃)⩨((⊺⇮1043⨐⩸⫘⊺⇮2090⪄⊺⇮1458⩚⊴⇥⊺⇮2151)⫌⩹⨱)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":78,"operation_count":9,"complexity_ratio":8.666666666666666,"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":1458,"base":10}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":1218,"base":10}}}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1043,"base":10},"right_expr":{"type":"numeric_atoms","value":2090,"base":10}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1458,"base":10},"right_expr":{"type":"numeric_atoms","value":2151,"base":10}}}}},"used_operators":["2DlMacCsIx","X99M06cbEe","i8ToyICDmI","inkyxCbjAn","zVYPLywUTj","EBcxylXtPf","SUmda5xLS4","fu6greOZ01","NTOWxs364D"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1458","layer":4},{"info":"compute unary expreesion, input=1458, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=1218","layer":4},{"info":"compute unary expreesion, input=1218, 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 = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=nan","layer":1},{"info":"number node, value=1043","layer":4},{"info":"number node, value=2090","layer":4},{"info":"compute binary expreesion, left_input=1043, right_input=2090, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=1458","layer":4},{"info":"number node, value=2151","layer":4},{"info":"compute binary expreesion, left_input=1458, right_input=2151, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3730","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3730, 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 = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=9359","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=9359, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((⇁⨣⪵⊺⇮1458)∲⫓(⊺⇮1218⊪))≫≃)⩨((⊺⇮1043⨐⩸⫘⊺⇮2090⪄⊺⇮1458⩚⊴⇥⊺⇮2151)⫌⩹⨱)=NaN","reverse_text":"NaN=(((⇁⨣⪵⊺⇮1458)∲⫓(⊺⇮1218⊪))≫≃)⩨((⊺⇮1043⨐⩸⫘⊺⇮2090⪄⊺⇮1458⩚⊴⇥⊺⇮2151)⫌⩹⨱)","cot":[{"info":"⇁⨣⪵⊺⇮1458=NaN","layer":3},{"info":"⊺⇮1218⊪=⊺⇮0","layer":3},{"info":"NaN∲⫓⊺⇮0=NaN","layer":2},{"info":"NaN≫≃=NaN","layer":1},{"info":"⊺⇮1043⨐⩸⫘⊺⇮2090=NaN","layer":3},{"info":"⊺⇮1458⩚⊴⇥⊺⇮2151=⊺⇮-3730","layer":3},{"info":"NaN⪄⊺⇮-3730=⊺⇮3979","layer":2},{"info":"⊺⇮3979⫌⩹⨱=⊺⇮9359","layer":1},{"info":"NaN⩨⊺⇮9359=NaN","layer":0}]}
{"id":610,"expression_no_base_symbol":"($2564$⩷∴$2940$+⇶⊼(⨞⊢$3594$)⪨≂(≉($2739$*$8424$)))-(⊄⩳↩($1466$⋓$3436$))⨰($2132$⩨$3204$)∼($8985$⪒$2884$)","expression":"(⊺⇮2564⩷∴⊺⇮2940+⇶⊼(⨞⊢⊺⇮3594)⪨≂(≉(⊺⇮2739*⊺⇮8424)))-(⊄⩳↩(⊺⇮1466⋓⊺⇮3436))⨰(⊺⇮2132⩨⊺⇮3204)∼(⊺⇮8985⪒⊺⇮2884)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2788,"operation_count":13,"complexity_ratio":214.46153846153845,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2564,"base":10},"right_expr":{"type":"numeric_atoms","value":2940,"base":10}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":3594,"base":10}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2739,"base":10},"right_expr":{"type":"numeric_atoms","value":8424,"base":10}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1466,"base":10},"right_expr":{"type":"numeric_atoms","value":3436,"base":10}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2132,"base":10},"right_expr":{"type":"numeric_atoms","value":3204,"base":10}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":8985,"base":10},"right_expr":{"type":"numeric_atoms","value":2884,"base":10}}}}},"used_operators":["rysDP5nf3Z","sdazOOVcIp","TpPTUOHfaN","9FxExcQeMw","xUOZtlo3hN","e1ybzncUwg","9HNa5Wba9A","eewbuw0ToL","8w2t5hMYqp","T2fj7uvVaJ","DyGG3AbaNP","2DlMacCsIx","f6k1SAg4EE"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2564","layer":4},{"info":"number node, value=2940","layer":4},{"info":"compute binary expreesion, left_input=2564, right_input=2940, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-784","layer":3},{"info":"number node, value=3594","layer":4},{"info":"compute unary expreesion, input=3594, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-3768","layer":3},{"info":"compute binary expreesion, left_input=-784, right_input=-3768, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=2739","layer":4},{"info":"number node, value=8424","layer":4},{"info":"compute binary expreesion, left_input=2739, right_input=8424, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=23073336","layer":3},{"info":"compute unary expreesion, input=23073336, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=23073867","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=23073867, op_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=1466","layer":4},{"info":"number node, value=3436","layer":4},{"info":"compute binary expreesion, left_input=1466, right_input=3436, op_id = T2fj7uvVaJ binary_op_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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=0","layer":2},{"info":"number node, value=2132","layer":4},{"info":"number node, value=3204","layer":4},{"info":"compute binary expreesion, left_input=2132, right_input=3204, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=8985","layer":4},{"info":"number node, value=2884","layer":4},{"info":"compute binary expreesion, left_input=8985, right_input=2884, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-11869","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=-11869, 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 = 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 = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮2564⩷∴⊺⇮2940+⇶⊼(⨞⊢⊺⇮3594)⪨≂(≉(⊺⇮2739*⊺⇮8424)))-(⊄⩳↩(⊺⇮1466⋓⊺⇮3436))⨰(⊺⇮2132⩨⊺⇮3204)∼(⊺⇮8985⪒⊺⇮2884)=NaN","reverse_text":"NaN=(⊺⇮2564⩷∴⊺⇮2940+⇶⊼(⨞⊢⊺⇮3594)⪨≂(≉(⊺⇮2739*⊺⇮8424)))-(⊄⩳↩(⊺⇮1466⋓⊺⇮3436))⨰(⊺⇮2132⩨⊺⇮3204)∼(⊺⇮8985⪒⊺⇮2884)","cot":[{"info":"⊺⇮2564⩷∴⊺⇮2940=⊺⇮-784","layer":3},{"info":"⨞⊢⊺⇮3594=⊺⇮-3768","layer":3},{"info":"⊺⇮-784+⇶⊼⊺⇮-3768=NaN","layer":2},{"info":"⊺⇮2739*⊺⇮8424=⊺⇮23073336","layer":3},{"info":"≉⊺⇮23073336=⊺⇮23073867","layer":2},{"info":"NaN⪨≂⊺⇮23073867=NaN","layer":1},{"info":"⊺⇮1466⋓⊺⇮3436=⊺⇮0","layer":3},{"info":"⊄⩳↩⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮2132⩨⊺⇮3204=⊺⇮-3","layer":3},{"info":"⊺⇮8985⪒⊺⇮2884=⊺⇮-11869","layer":3},{"info":"⊺⇮-3∼⊺⇮-11869=NaN","layer":2},{"info":"⊺⇮0⨰NaN=NaN","layer":1},{"info":"NaN-NaN=NaN","layer":0}]}
{"id":611,"expression_no_base_symbol":"(⨑⩽⪐((⫓⪴$1471$)⪨≂$2229$≹⇙⪍$3614$))⩨(($1462$⫌⩹⨱)⪄$1580$⫥∨⫟$3498$)↺((⩦⩻⨪$1070$)/($2710$⩤))","expression":"(⨑⩽⪐((⫓⪴⊺⇮1471)⪨≂⊺⇮2229≹⇙⪍⊺⇮3614))⩨((⊺⇮1462⫌⩹⨱)⪄⊺⇮1580⫥∨⫟⊺⇮3498)↺((⩦⩻⨪⊺⇮1070)/(⊺⇮2710⩤))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1750,"operation_count":12,"complexity_ratio":145.83333333333334,"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":1471,"base":10}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2229,"base":10},"right_expr":{"type":"numeric_atoms","value":3614,"base":10}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1462,"base":10}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1580,"base":10},"right_expr":{"type":"numeric_atoms","value":3498,"base":10}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1070,"base":10}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":2710,"base":10}}}}},"used_operators":["2DlMacCsIx","AF7qkfDlqP","sdazOOVcIp","eLxqMNBOBk","AHs5Up7iyr","7j4O788W3g","SUmda5xLS4","EBcxylXtPf","KYD54nUTWz","XhwjNDsVaA","2td37pGCOC","Z2TMIBDE3Q"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1471","layer":4},{"info":"compute unary expreesion, input=1471, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=2163841","layer":3},{"info":"number node, value=2229","layer":4},{"info":"number node, value=3614","layer":4},{"info":"compute binary expreesion, left_input=2229, right_input=3614, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=2163841, 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 = 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=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=1580","layer":4},{"info":"number node, value=3498","layer":4},{"info":"compute binary expreesion, left_input=1580, right_input=3498, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4325, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":2},{"info":"number node, value=1070","layer":4},{"info":"compute unary expreesion, input=1070, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1070","layer":3},{"info":"number node, value=2710","layer":4},{"info":"compute unary expreesion, input=2710, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2710","layer":3},{"info":"compute binary expreesion, left_input=1070, right_input=-2710, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-1","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⨑⩽⪐((⫓⪴⊺⇮1471)⪨≂⊺⇮2229≹⇙⪍⊺⇮3614))⩨((⊺⇮1462⫌⩹⨱)⪄⊺⇮1580⫥∨⫟⊺⇮3498)↺((⩦⩻⨪⊺⇮1070)/(⊺⇮2710⩤))=NaN","reverse_text":"NaN=(⨑⩽⪐((⫓⪴⊺⇮1471)⪨≂⊺⇮2229≹⇙⪍⊺⇮3614))⩨((⊺⇮1462⫌⩹⨱)⪄⊺⇮1580⫥∨⫟⊺⇮3498)↺((⩦⩻⨪⊺⇮1070)/(⊺⇮2710⩤))","cot":[{"info":"⫓⪴⊺⇮1471=⊺⇮2163841","layer":3},{"info":"⊺⇮2229≹⇙⪍⊺⇮3614=NaN","layer":3},{"info":"⊺⇮2163841⪨≂NaN=NaN","layer":2},{"info":"⨑⩽⪐NaN=NaN","layer":1},{"info":"⊺⇮1462⫌⩹⨱=⊺⇮4325","layer":3},{"info":"⊺⇮1580⫥∨⫟⊺⇮3498=NaN","layer":3},{"info":"⊺⇮4325⪄NaN=NaN","layer":2},{"info":"⩦⩻⨪⊺⇮1070=⊺⇮1070","layer":3},{"info":"⊺⇮2710⩤=⊺⇮-2710","layer":3},{"info":"⊺⇮1070/⊺⇮-2710=⊺⇮-1","layer":2},{"info":"NaN↺⊺⇮-1=⊺⇮-1","layer":1},{"info":"NaN⩨⊺⇮-1=NaN","layer":0}]}
{"id":612,"expression_no_base_symbol":"(≉($2213$⊭↱$3357$)⩚⊴⇥($6770$⋳⪒$1977$))∀⇚≩((($3743$⊭∹↮)⊘)⨰(⫓⪴($1212$⨎$1977$)))","expression":"(≉(⊺⇮2213⊭↱⊺⇮3357)⩚⊴⇥(⊺⇮6770⋳⪒⊺⇮1977))∀⇚≩(((⊺⇮3743⊭∹↮)⊘)⨰(⫓⪴(⊺⇮1212⨎⊺⇮1977)))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":97856,"operation_count":10,"complexity_ratio":9785.6,"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":2213,"base":10},"right_expr":{"type":"numeric_atoms","value":3357,"base":10}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":6770,"base":10},"right_expr":{"type":"numeric_atoms","value":1977,"base":10}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":3743,"base":10}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1212,"base":10},"right_expr":{"type":"numeric_atoms","value":1977,"base":10}}}}},"used_operators":["LRNGc0VcxI","e1ybzncUwg","NTOWxs364D","COABgblf1C","12rbrZMWeM","eewbuw0ToL","gu96TGCTMs","xNBdhnnwKq","eLxqMNBOBk","rJVOvQCfKK"],"dependent_operators":["X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","9HNa5Wba9A","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2213","layer":4},{"info":"number node, value=3357","layer":4},{"info":"compute binary expreesion, left_input=2213, right_input=3357, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=2293","layer":3},{"info":"number node, value=6770","layer":4},{"info":"number node, value=1977","layer":4},{"info":"compute binary expreesion, left_input=6770, right_input=1977, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=11276","layer":3},{"info":"compute binary expreesion, left_input=2293, right_input=11276, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-13690","layer":2},{"info":"compute unary expreesion, input=-13690, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-13690","layer":1},{"info":"number node, value=3743","layer":4},{"info":"compute unary expreesion, input=3743, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=7486","layer":3},{"info":"compute unary expreesion, input=7486, 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=1212","layer":4},{"info":"number node, value=1977","layer":4},{"info":"compute binary expreesion, left_input=1212, right_input=1977, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1977","layer":3},{"info":"compute unary expreesion, input=1977, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=3908529","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=3908529, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-3908519","layer":1},{"info":"compute binary expreesion, left_input=-13690, right_input=-3908519, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":10,"result_base":10,"text":"(≉(⊺⇮2213⊭↱⊺⇮3357)⩚⊴⇥(⊺⇮6770⋳⪒⊺⇮1977))∀⇚≩(((⊺⇮3743⊭∹↮)⊘)⨰(⫓⪴(⊺⇮1212⨎⊺⇮1977)))=NaN","reverse_text":"NaN=(≉(⊺⇮2213⊭↱⊺⇮3357)⩚⊴⇥(⊺⇮6770⋳⪒⊺⇮1977))∀⇚≩(((⊺⇮3743⊭∹↮)⊘)⨰(⫓⪴(⊺⇮1212⨎⊺⇮1977)))","cot":[{"info":"⊺⇮2213⊭↱⊺⇮3357=⊺⇮2293","layer":3},{"info":"⊺⇮6770⋳⪒⊺⇮1977=⊺⇮11276","layer":3},{"info":"⊺⇮2293⩚⊴⇥⊺⇮11276=⊺⇮-13690","layer":2},{"info":"≉⊺⇮-13690=⊺⇮-13690","layer":1},{"info":"⊺⇮3743⊭∹↮=⊺⇮7486","layer":3},{"info":"⊺⇮7486⊘=⊺⇮0","layer":2},{"info":"⊺⇮1212⨎⊺⇮1977=⊺⇮1977","layer":3},{"info":"⫓⪴⊺⇮1977=⊺⇮3908529","layer":2},{"info":"⊺⇮0⨰⊺⇮3908529=⊺⇮-3908519","layer":1},{"info":"⊺⇮-13690∀⇚≩⊺⇮-3908519=NaN","layer":0}]}
{"id":613,"expression_no_base_symbol":"(($1282$⊴$1383$⋫)∼(($1200$⪠⩆⊳)⨵⪆$2152$⪄$1651$))⪮%⊝((⪲⇎$1121$)⨓($2028$⩚⊴⇥$2094$)*($1804$⨐⩸⫘$4833$)⨎(↯⪼$2316$))","expression":"((⊺⇮1282⊴⊺⇮1383⋫)∼((⊺⇮1200⪠⩆⊳)⨵⪆⊺⇮2152⪄⊺⇮1651))⪮%⊝((⪲⇎⊺⇮1121)⨓(⊺⇮2028⩚⊴⇥⊺⇮2094)*(⊺⇮1804⨐⩸⫘⊺⇮4833)⨎(↯⪼⊺⇮2316))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":6470,"operation_count":14,"complexity_ratio":462.14285714285717,"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":1282,"base":10},"right_expr":{"type":"numeric_atoms","value":1383,"base":10}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1200,"base":10}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2152,"base":10},"right_expr":{"type":"numeric_atoms","value":1651,"base":10}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1121,"base":10}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2028,"base":10},"right_expr":{"type":"numeric_atoms","value":2094,"base":10}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1804,"base":10},"right_expr":{"type":"numeric_atoms","value":4833,"base":10}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2316,"base":10}}}}},"used_operators":["IWmyXbctLI","DyGG3AbaNP","JL8yIekQnl","Nsiff2A1zJ","2DQ55sFlQl","JLbD19bQDL","SUmda5xLS4","9HNa5Wba9A","3ViojmjbAp","XPYlsWDdGa","NTOWxs364D","rJVOvQCfKK","fu6greOZ01","8jW3W4yZS5"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","tmPS8pqC7x","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","3ViojmjbAp","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"⊺⇮316","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1282","layer":4},{"info":"number node, value=1383","layer":4},{"info":"compute binary expreesion, left_input=1282, right_input=1383, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', 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=1200","layer":4},{"info":"compute unary expreesion, input=1200, 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=2152","layer":4},{"info":"number node, value=1651","layer":4},{"info":"compute binary expreesion, left_input=2152, right_input=1651, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-321189","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-321189, 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 = 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=1121","layer":4},{"info":"compute unary expreesion, input=1121, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2242","layer":3},{"info":"number node, value=2028","layer":4},{"info":"number node, value=2094","layer":4},{"info":"compute binary expreesion, left_input=2028, right_input=2094, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4243","layer":3},{"info":"compute binary expreesion, left_input=2242, right_input=-4243, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4246","layer":2},{"info":"number node, value=1804","layer":4},{"info":"number node, value=4833","layer":4},{"info":"compute binary expreesion, left_input=1804, right_input=4833, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=2316","layer":4},{"info":"compute unary expreesion, input=2316, 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 = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-21","layer":2},{"info":"compute binary expreesion, left_input=-4246, right_input=-21, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=89166","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=89166, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=316","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1282⊴⊺⇮1383⋫)∼((⊺⇮1200⪠⩆⊳)⨵⪆⊺⇮2152⪄⊺⇮1651))⪮%⊝((⪲⇎⊺⇮1121)⨓(⊺⇮2028⩚⊴⇥⊺⇮2094)*(⊺⇮1804⨐⩸⫘⊺⇮4833)⨎(↯⪼⊺⇮2316))=⊺⇮316","reverse_text":"⊺⇮316=((⊺⇮1282⊴⊺⇮1383⋫)∼((⊺⇮1200⪠⩆⊳)⨵⪆⊺⇮2152⪄⊺⇮1651))⪮%⊝((⪲⇎⊺⇮1121)⨓(⊺⇮2028⩚⊴⇥⊺⇮2094)*(⊺⇮1804⨐⩸⫘⊺⇮4833)⨎(↯⪼⊺⇮2316))","cot":[{"info":"⊺⇮1282⊴⊺⇮1383=NaN","layer":3},{"info":"NaN⋫=NaN","layer":2},{"info":"⊺⇮1200⪠⩆⊳=⊺⇮0","layer":3},{"info":"⊺⇮2152⪄⊺⇮1651=⊺⇮-321189","layer":3},{"info":"⊺⇮0⨵⪆⊺⇮-321189=⊺⇮160","layer":2},{"info":"NaN∼⊺⇮160=⊺⇮0","layer":1},{"info":"⪲⇎⊺⇮1121=⊺⇮2242","layer":3},{"info":"⊺⇮2028⩚⊴⇥⊺⇮2094=⊺⇮-4243","layer":3},{"info":"⊺⇮2242⨓⊺⇮-4243=⊺⇮-4246","layer":2},{"info":"⊺⇮1804⨐⩸⫘⊺⇮4833=NaN","layer":3},{"info":"↯⪼⊺⇮2316=⊺⇮-21","layer":3},{"info":"NaN⨎⊺⇮-21=⊺⇮-21","layer":2},{"info":"⊺⇮-4246*⊺⇮-21=⊺⇮89166","layer":1},{"info":"⊺⇮0⪮%⊝⊺⇮89166=⊺⇮316","layer":0}]}
{"id":614,"expression_no_base_symbol":"(($3521$*$8230$)⇷($1522$↺$1599$))⪘⫢(($6020$⫩⊇)⨵⪆$3276$∀⇚≩$1624$)⨰((⪲⇎($1255$↺$1761$))⫩⊇)","expression":"((⊺⇮3521*⊺⇮8230)⇷(⊺⇮1522↺⊺⇮1599))⪘⫢((⊺⇮6020⫩⊇)⨵⪆⊺⇮3276∀⇚≩⊺⇮1624)⨰((⪲⇎(⊺⇮1255↺⊺⇮1761))⫩⊇)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":26486,"operation_count":11,"complexity_ratio":2407.818181818182,"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":3521,"base":10},"right_expr":{"type":"numeric_atoms","value":8230,"base":10}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1522,"base":10},"right_expr":{"type":"numeric_atoms","value":1599,"base":10}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":6020,"base":10}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3276,"base":10},"right_expr":{"type":"numeric_atoms","value":1624,"base":10}}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1255,"base":10},"right_expr":{"type":"numeric_atoms","value":1761,"base":10}}}}},"used_operators":["eewbuw0ToL","oacrs7FA3X","mp7IySMOzn","9HNa5Wba9A","7j4O788W3g","2DQ55sFlQl","BjRHVeLaeN","LRNGc0VcxI","XPYlsWDdGa"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮3490","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3521","layer":4},{"info":"number node, value=8230","layer":4},{"info":"compute binary expreesion, left_input=3521, right_input=8230, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=28977830","layer":3},{"info":"number node, value=1522","layer":4},{"info":"number node, value=1599","layer":4},{"info":"compute binary expreesion, left_input=1522, right_input=1599, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1599","layer":3},{"info":"compute binary expreesion, left_input=28977830, right_input=1599, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3198","layer":2},{"info":"number node, value=6020","layer":4},{"info":"compute unary expreesion, input=6020, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-5978","layer":3},{"info":"number node, value=3276","layer":4},{"info":"number node, value=1624","layer":4},{"info":"compute binary expreesion, left_input=3276, right_input=1624, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=-5978, 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=3198, right_input=160, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=0","layer":1},{"info":"number node, value=1255","layer":4},{"info":"number node, value=1761","layer":4},{"info":"compute binary expreesion, left_input=1255, right_input=1761, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1761","layer":3},{"info":"compute unary expreesion, input=1761, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3522","layer":2},{"info":"compute unary expreesion, input=3522, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-3480","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-3480, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=3490","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮3521*⊺⇮8230)⇷(⊺⇮1522↺⊺⇮1599))⪘⫢((⊺⇮6020⫩⊇)⨵⪆⊺⇮3276∀⇚≩⊺⇮1624)⨰((⪲⇎(⊺⇮1255↺⊺⇮1761))⫩⊇)=⊺⇮3490","reverse_text":"⊺⇮3490=((⊺⇮3521*⊺⇮8230)⇷(⊺⇮1522↺⊺⇮1599))⪘⫢((⊺⇮6020⫩⊇)⨵⪆⊺⇮3276∀⇚≩⊺⇮1624)⨰((⪲⇎(⊺⇮1255↺⊺⇮1761))⫩⊇)","cot":[{"info":"⊺⇮3521*⊺⇮8230=⊺⇮28977830","layer":3},{"info":"⊺⇮1522↺⊺⇮1599=⊺⇮1599","layer":3},{"info":"⊺⇮28977830⇷⊺⇮1599=⊺⇮3198","layer":2},{"info":"⊺⇮6020⫩⊇=⊺⇮-5978","layer":3},{"info":"⊺⇮3276∀⇚≩⊺⇮1624=NaN","layer":3},{"info":"⊺⇮-5978⨵⪆NaN=⊺⇮160","layer":2},{"info":"⊺⇮3198⪘⫢⊺⇮160=⊺⇮0","layer":1},{"info":"⊺⇮1255↺⊺⇮1761=⊺⇮1761","layer":3},{"info":"⪲⇎⊺⇮1761=⊺⇮3522","layer":2},{"info":"⊺⇮3522⫩⊇=⊺⇮-3480","layer":1},{"info":"⊺⇮0⨰⊺⇮-3480=⊺⇮3490","layer":0}]}
{"id":615,"expression_no_base_symbol":"+⊝⨔(⨰⫟⨤($5214$↙$1128$%$3164$⩚⊴⇥$1450$))","expression":"+⊝⨔(⨰⫟⨤(⊺⇮5214↙⊺⇮1128%⊺⇮3164⩚⊴⇥⊺⇮1450))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":15583,"operation_count":5,"complexity_ratio":3116.6,"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":5214,"base":10},"right_expr":{"type":"numeric_atoms","value":1128,"base":10}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3164,"base":10},"right_expr":{"type":"numeric_atoms","value":1450,"base":10}}}}},"used_operators":["DhbWaqg5eL","Tw270M8GLb","k8jYdgA6NY","yyfyN0ffXY","NTOWxs364D"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⊺⇮1522","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5214","layer":4},{"info":"number node, value=1128","layer":4},{"info":"compute binary expreesion, left_input=5214, right_input=1128, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3384","layer":3},{"info":"number node, value=3164","layer":4},{"info":"number node, value=1450","layer":4},{"info":"compute binary expreesion, left_input=3164, right_input=1450, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4735","layer":3},{"info":"compute binary expreesion, left_input=-3384, right_input=-4735, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-3384","layer":2},{"info":"compute unary expreesion, input=-3384, 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 = 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":10,"result_base":10,"text":"+⊝⨔(⨰⫟⨤(⊺⇮5214↙⊺⇮1128%⊺⇮3164⩚⊴⇥⊺⇮1450))=⊺⇮1522","reverse_text":"⊺⇮1522=+⊝⨔(⨰⫟⨤(⊺⇮5214↙⊺⇮1128%⊺⇮3164⩚⊴⇥⊺⇮1450))","cot":[{"info":"⊺⇮5214↙⊺⇮1128=⊺⇮-3384","layer":3},{"info":"⊺⇮3164⩚⊴⇥⊺⇮1450=⊺⇮-4735","layer":3},{"info":"⊺⇮-3384%⊺⇮-4735=⊺⇮-3384","layer":2},{"info":"⨰⫟⨤⊺⇮-3384=NaN","layer":1},{"info":"+⊝⨔NaN=⊺⇮1522","layer":0}]}
{"id":616,"expression_no_base_symbol":"(⋗⩬⋾$1414$∀⇚≩$2054$)⨟⋌⩍(($2815$⊦⊿)↺$1292$⨐⩸⫘$3745$)⪘⫢((+⊝⨔($5730$⋥≓≎$2487$))⨰(($5657$⊦⊿)/$1649$⋓$5964$))","expression":"(⋗⩬⋾⊺⇮1414∀⇚≩⊺⇮2054)⨟⋌⩍((⊺⇮2815⊦⊿)↺⊺⇮1292⨐⩸⫘⊺⇮3745)⪘⫢((+⊝⨔(⊺⇮5730⋥≓≎⊺⇮2487))⨰((⊺⇮5657⊦⊿)/⊺⇮1649⋓⊺⇮5964))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":9970,"operation_count":13,"complexity_ratio":766.9230769230769,"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":1414,"base":10},"right_expr":{"type":"numeric_atoms","value":2054,"base":10}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":2815,"base":10}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1292,"base":10},"right_expr":{"type":"numeric_atoms","value":3745,"base":10}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":5730,"base":10},"right_expr":{"type":"numeric_atoms","value":2487,"base":10}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":5657,"base":10}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1649,"base":10},"right_expr":{"type":"numeric_atoms","value":5964,"base":10}}}}},"used_operators":["oacrs7FA3X","rGHVDoGpnC","DpFCA1CohY","LRNGc0VcxI","7j4O788W3g","14qkJME0vr","fu6greOZ01","eewbuw0ToL","DhbWaqg5eL","Qy55tPpLXF","XhwjNDsVaA","T2fj7uvVaJ"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1414","layer":4},{"info":"number node, value=2054","layer":4},{"info":"compute binary expreesion, left_input=1414, right_input=2054, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=nan","layer":2},{"info":"number node, value=2815","layer":4},{"info":"compute unary expreesion, input=2815, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-8524","layer":3},{"info":"number node, value=1292","layer":4},{"info":"number node, value=3745","layer":4},{"info":"compute binary expreesion, left_input=1292, right_input=3745, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=-8524, 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 = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=5730","layer":4},{"info":"number node, value=2487","layer":4},{"info":"compute binary expreesion, left_input=5730, right_input=2487, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-723","layer":3},{"info":"compute unary expreesion, input=-723, 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=5657","layer":4},{"info":"compute unary expreesion, input=5657, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-17050","layer":3},{"info":"number node, value=1649","layer":4},{"info":"number node, value=5964","layer":4},{"info":"compute binary expreesion, left_input=1649, right_input=5964, op_id = T2fj7uvVaJ binary_op_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=-17050, right_input=0, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1522, 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 = 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":10,"result_base":10,"text":"(⋗⩬⋾⊺⇮1414∀⇚≩⊺⇮2054)⨟⋌⩍((⊺⇮2815⊦⊿)↺⊺⇮1292⨐⩸⫘⊺⇮3745)⪘⫢((+⊝⨔(⊺⇮5730⋥≓≎⊺⇮2487))⨰((⊺⇮5657⊦⊿)/⊺⇮1649⋓⊺⇮5964))=NaN","reverse_text":"NaN=(⋗⩬⋾⊺⇮1414∀⇚≩⊺⇮2054)⨟⋌⩍((⊺⇮2815⊦⊿)↺⊺⇮1292⨐⩸⫘⊺⇮3745)⪘⫢((+⊝⨔(⊺⇮5730⋥≓≎⊺⇮2487))⨰((⊺⇮5657⊦⊿)/⊺⇮1649⋓⊺⇮5964))","cot":[{"info":"⊺⇮1414∀⇚≩⊺⇮2054=NaN","layer":3},{"info":"⋗⩬⋾NaN=NaN","layer":2},{"info":"⊺⇮2815⊦⊿=⊺⇮-8524","layer":3},{"info":"⊺⇮1292⨐⩸⫘⊺⇮3745=NaN","layer":3},{"info":"⊺⇮-8524↺NaN=NaN","layer":2},{"info":"NaN⨟⋌⩍NaN=NaN","layer":1},{"info":"⊺⇮5730⋥≓≎⊺⇮2487=⊺⇮-723","layer":3},{"info":"+⊝⨔⊺⇮-723=⊺⇮1522","layer":2},{"info":"⊺⇮5657⊦⊿=⊺⇮-17050","layer":3},{"info":"⊺⇮1649⋓⊺⇮5964=⊺⇮0","layer":3},{"info":"⊺⇮-17050/⊺⇮0=NaN","layer":2},{"info":"⊺⇮1522⨰NaN=NaN","layer":1},{"info":"NaN⪘⫢NaN=NaN","layer":0}]}
{"id":617,"expression_no_base_symbol":"∂((≤/$5588$)≹⇙⪍($2804$⫥∨⫟$2728$)⨽($3676$⩷∴$1178$⊘))","expression":"∂((≤/⊺⇮5588)≹⇙⪍(⊺⇮2804⫥∨⫟⊺⇮2728)⨽(⊺⇮3676⩷∴⊺⇮1178⊘))","highest_n_order":5,"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":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":5588,"base":10}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2804,"base":10},"right_expr":{"type":"numeric_atoms","value":2728,"base":10}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3676,"base":10},"right_expr":{"type":"numeric_atoms","value":1178,"base":10}}}}},"used_operators":["Uaa54Peajs","8HhzD0ZcuI","AHs5Up7iyr","eLAdDNolq6","KYD54nUTWz","gu96TGCTMs","9FxExcQeMw"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5588","layer":4},{"info":"compute unary expreesion, input=5588, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-5104","layer":3},{"info":"number node, value=2804","layer":4},{"info":"number node, value=2728","layer":4},{"info":"compute binary expreesion, left_input=2804, right_input=2728, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-5104, 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=3676","layer":4},{"info":"number node, value=1178","layer":4},{"info":"compute binary expreesion, left_input=3676, right_input=1178, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=4964","layer":3},{"info":"compute unary expreesion, input=4964, 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 = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(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":10,"result_base":10,"text":"∂((≤/⊺⇮5588)≹⇙⪍(⊺⇮2804⫥∨⫟⊺⇮2728)⨽(⊺⇮3676⩷∴⊺⇮1178⊘))=NaN","reverse_text":"NaN=∂((≤/⊺⇮5588)≹⇙⪍(⊺⇮2804⫥∨⫟⊺⇮2728)⨽(⊺⇮3676⩷∴⊺⇮1178⊘))","cot":[{"info":"≤/⊺⇮5588=⊺⇮-5104","layer":3},{"info":"⊺⇮2804⫥∨⫟⊺⇮2728=NaN","layer":3},{"info":"⊺⇮-5104≹⇙⪍NaN=NaN","layer":2},{"info":"⊺⇮3676⩷∴⊺⇮1178=⊺⇮4964","layer":3},{"info":"⊺⇮4964⊘=⊺⇮0","layer":2},{"info":"NaN⨽⊺⇮0=NaN","layer":1},{"info":"∂NaN=NaN","layer":0}]}
{"id":618,"expression_no_base_symbol":"⨈⫕(⨈⫕($6909$⨁⊸⫻)⋥≓≎($2608$≋⫹))","expression":"⨈⫕(⨈⫕(⊺⇮6909⨁⊸⫻)⋥≓≎(⊺⇮2608≋⫹))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":780,"operation_count":5,"complexity_ratio":156.0,"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":6909,"base":10}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":2608,"base":10}}}}},"used_operators":["megm06wKyl","Qy55tPpLXF","glklzrTFfD","N41Kp7NANJ"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮-21","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6909","layer":4},{"info":"compute unary expreesion, input=6909, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=6909","layer":3},{"info":"number node, value=2608","layer":4},{"info":"compute unary expreesion, input=2608, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-5216","layer":3},{"info":"compute binary expreesion, left_input=6909, right_input=-5216, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-17308","layer":2},{"info":"compute unary expreesion, input=-17308, 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 = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":0}],"base":10,"result_base":10,"text":"⨈⫕(⨈⫕(⊺⇮6909⨁⊸⫻)⋥≓≎(⊺⇮2608≋⫹))=⊺⇮-21","reverse_text":"⊺⇮-21=⨈⫕(⨈⫕(⊺⇮6909⨁⊸⫻)⋥≓≎(⊺⇮2608≋⫹))","cot":[{"info":"⊺⇮6909⨁⊸⫻=⊺⇮6909","layer":3},{"info":"⊺⇮2608≋⫹=⊺⇮-5216","layer":3},{"info":"⊺⇮6909⋥≓≎⊺⇮-5216=⊺⇮-17308","layer":2},{"info":"⨈⫕⊺⇮-17308=⊺⇮-21","layer":1},{"info":"⨈⫕⊺⇮-21=⊺⇮-21","layer":0}]}
{"id":619,"expression_no_base_symbol":"⩦⩻⨪(($1354$⪨≂$1830$)⋝⋈⪟($3060$⨐⩸⫘$7700$)⫡⨏(≉$5004$)⊴($1348$⩠))","expression":"⩦⩻⨪((⊺⇮1354⪨≂⊺⇮1830)⋝⋈⪟(⊺⇮3060⨐⩸⫘⊺⇮7700)⫡⨏(≉⊺⇮5004)⊴(⊺⇮1348⩠))","highest_n_order":4,"priority_hierarchical_complexity":6,"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":1354,"base":10},"right_expr":{"type":"numeric_atoms","value":1830,"base":10}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3060,"base":10},"right_expr":{"type":"numeric_atoms","value":7700,"base":10}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":5004,"base":10}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1348,"base":10}}}}},"used_operators":["2td37pGCOC","QMFrweE19q","2DDjHMKMc0","sdazOOVcIp","fu6greOZ01","Nsiff2A1zJ","e1ybzncUwg","sJAwomhLZr"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=1354","layer":4},{"info":"number node, value=1830","layer":4},{"info":"compute binary expreesion, left_input=1354, right_input=1830, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-850","layer":3},{"info":"number node, value=3060","layer":4},{"info":"number node, value=7700","layer":4},{"info":"compute binary expreesion, left_input=3060, right_input=7700, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=-850, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=5004","layer":4},{"info":"compute unary expreesion, input=5004, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=5535","layer":3},{"info":"number node, value=1348","layer":4},{"info":"compute unary expreesion, input=1348, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=5535, 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 = 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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⩦⩻⨪((⊺⇮1354⪨≂⊺⇮1830)⋝⋈⪟(⊺⇮3060⨐⩸⫘⊺⇮7700)⫡⨏(≉⊺⇮5004)⊴(⊺⇮1348⩠))=NaN","reverse_text":"NaN=⩦⩻⨪((⊺⇮1354⪨≂⊺⇮1830)⋝⋈⪟(⊺⇮3060⨐⩸⫘⊺⇮7700)⫡⨏(≉⊺⇮5004)⊴(⊺⇮1348⩠))","cot":[{"info":"⊺⇮1354⪨≂⊺⇮1830=⊺⇮-850","layer":3},{"info":"⊺⇮3060⨐⩸⫘⊺⇮7700=NaN","layer":3},{"info":"⊺⇮-850⋝⋈⪟NaN=NaN","layer":2},{"info":"≉⊺⇮5004=⊺⇮5535","layer":3},{"info":"⊺⇮1348⩠=⊺⇮0","layer":3},{"info":"⊺⇮5535⊴⊺⇮0=⊺⇮-79","layer":2},{"info":"NaN⫡⨏⊺⇮-79=NaN","layer":1},{"info":"⩦⩻⨪NaN=NaN","layer":0}]}
{"id":620,"expression_no_base_symbol":"((($3448$*$4452$)⫸⊐$1019$⪛$5671$)⋫)⫌⩹⨱","expression":"(((⊺⇮3448*⊺⇮4452)⫸⊐⊺⇮1019⪛⊺⇮5671)⋫)⫌⩹⨱","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":7434,"operation_count":5,"complexity_ratio":1486.8,"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":3448,"base":10},"right_expr":{"type":"numeric_atoms","value":4452,"base":10}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1019,"base":10},"right_expr":{"type":"numeric_atoms","value":5671,"base":10}}}}},"used_operators":["EBcxylXtPf","JL8yIekQnl","mqXw5SEYmG","9HNa5Wba9A","uFcxV4UQCh"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","tmPS8pqC7x","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⊺⇮9303","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3448","layer":4},{"info":"number node, value=4452","layer":4},{"info":"compute binary expreesion, left_input=3448, right_input=4452, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=15350496","layer":3},{"info":"number node, value=1019","layer":4},{"info":"number node, value=5671","layer":4},{"info":"compute binary expreesion, left_input=1019, right_input=5671, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1019","layer":3},{"info":"compute binary expreesion, left_input=15350496, right_input=1019, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=3951","layer":2},{"info":"compute unary expreesion, input=3951, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=3951","layer":1},{"info":"compute unary expreesion, input=3951, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=9303","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮3448*⊺⇮4452)⫸⊐⊺⇮1019⪛⊺⇮5671)⋫)⫌⩹⨱=⊺⇮9303","reverse_text":"⊺⇮9303=(((⊺⇮3448*⊺⇮4452)⫸⊐⊺⇮1019⪛⊺⇮5671)⋫)⫌⩹⨱","cot":[{"info":"⊺⇮3448*⊺⇮4452=⊺⇮15350496","layer":3},{"info":"⊺⇮1019⪛⊺⇮5671=⊺⇮1019","layer":3},{"info":"⊺⇮15350496⫸⊐⊺⇮1019=⊺⇮3951","layer":2},{"info":"⊺⇮3951⋫=⊺⇮3951","layer":1},{"info":"⊺⇮3951⫌⩹⨱=⊺⇮9303","layer":0}]}
{"id":621,"expression_no_base_symbol":"($1406$∼$3182$⋫)⪛(≤/$5114$⨐⩸⫘$2663$)+⇶⊼((↽≂$3625$∼$1810$)≣⋋)","expression":"(⊺⇮1406∼⊺⇮3182⋫)⪛(≤/⊺⇮5114⨐⩸⫘⊺⇮2663)+⇶⊼((↽≂⊺⇮3625∼⊺⇮1810)≣⋋)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":117,"operation_count":9,"complexity_ratio":13.0,"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":1406,"base":10},"right_expr":{"type":"numeric_atoms","value":3182,"base":10}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":5114,"base":10},"right_expr":{"type":"numeric_atoms","value":2663,"base":10}}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3625,"base":10},"right_expr":{"type":"numeric_atoms","value":1810,"base":10}}}}},"used_operators":["TpPTUOHfaN","uFcxV4UQCh","JL8yIekQnl","DyGG3AbaNP","eLAdDNolq6","fu6greOZ01","Tcnh7f0tEr","u6S6b8DprG"],"dependent_operators":["AHs5Up7iyr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","tmPS8pqC7x","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","3ViojmjbAp","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=1406","layer":4},{"info":"number node, value=3182","layer":4},{"info":"compute binary expreesion, left_input=1406, right_input=3182, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":2},{"info":"number node, value=5114","layer":4},{"info":"number node, value=2663","layer":4},{"info":"compute binary expreesion, left_input=5114, 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 unary expreesion, input=nan, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"number node, value=3625","layer":4},{"info":"number node, value=1810","layer":4},{"info":"compute binary expreesion, left_input=3625, right_input=1810, 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 = 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 = 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 = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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":10,"result_base":10,"text":"(⊺⇮1406∼⊺⇮3182⋫)⪛(≤/⊺⇮5114⨐⩸⫘⊺⇮2663)+⇶⊼((↽≂⊺⇮3625∼⊺⇮1810)≣⋋)=NaN","reverse_text":"NaN=(⊺⇮1406∼⊺⇮3182⋫)⪛(≤/⊺⇮5114⨐⩸⫘⊺⇮2663)+⇶⊼((↽≂⊺⇮3625∼⊺⇮1810)≣⋋)","cot":[{"info":"⊺⇮1406∼⊺⇮3182=NaN","layer":3},{"info":"NaN⋫=NaN","layer":2},{"info":"⊺⇮5114⨐⩸⫘⊺⇮2663=NaN","layer":3},{"info":"≤/NaN=NaN","layer":2},{"info":"NaN⪛NaN=NaN","layer":1},{"info":"⊺⇮3625∼⊺⇮1810=NaN","layer":3},{"info":"↽≂NaN=NaN","layer":2},{"info":"NaN≣⋋=NaN","layer":1},{"info":"NaN+⇶⊼NaN=NaN","layer":0}]}
{"id":622,"expression_no_base_symbol":"(-$1564$≧⫂∧$2432$)⊴(⫛⫱⨽$1979$)≹⇙⪍($6433$⋳⪒$4491$)⫡⨏((↯⪼$1132$)⋓$2009$∑⇟⊟$3227$≫≃)","expression":"(-⊺⇮1564≧⫂∧⊺⇮2432)⊴(⫛⫱⨽⊺⇮1979)≹⇙⪍(⊺⇮6433⋳⪒⊺⇮4491)⫡⨏((↯⪼⊺⇮1132)⋓⊺⇮2009∑⇟⊟⊺⇮3227≫≃)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1498,"operation_count":11,"complexity_ratio":136.1818181818182,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1564,"base":10},"right_expr":{"type":"numeric_atoms","value":2432,"base":10}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1979,"base":10}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":6433,"base":10},"right_expr":{"type":"numeric_atoms","value":4491,"base":10}}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1132,"base":10}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2009,"base":10},"right_expr":{"type":"numeric_atoms","value":3227,"base":10}}}}},"used_operators":["QMFrweE19q","Nsiff2A1zJ","t8gj7n24qd","Ph9nP6C5qx","AHs5Up7iyr","DlLNRPXxWL","12rbrZMWeM","X99M06cbEe","T2fj7uvVaJ","8jW3W4yZS5","U7g4x0WXJJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1564","layer":4},{"info":"number node, value=2432","layer":4},{"info":"compute binary expreesion, left_input=1564, right_input=2432, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1959","layer":3},{"info":"compute unary expreesion, input=1959, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1959","layer":2},{"info":"number node, value=1979","layer":4},{"info":"compute unary expreesion, input=1979, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=6433","layer":4},{"info":"number node, value=4491","layer":4},{"info":"compute binary expreesion, left_input=6433, right_input=4491, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=8088","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=8088, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=-1959, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=1132","layer":4},{"info":"compute unary expreesion, input=1132, 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=2009","layer":4},{"info":"number node, value=3227","layer":4},{"info":"compute binary expreesion, left_input=2009, right_input=3227, 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=-21, 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 = 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 = 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":10,"result_base":10,"text":"(-⊺⇮1564≧⫂∧⊺⇮2432)⊴(⫛⫱⨽⊺⇮1979)≹⇙⪍(⊺⇮6433⋳⪒⊺⇮4491)⫡⨏((↯⪼⊺⇮1132)⋓⊺⇮2009∑⇟⊟⊺⇮3227≫≃)=NaN","reverse_text":"NaN=(-⊺⇮1564≧⫂∧⊺⇮2432)⊴(⫛⫱⨽⊺⇮1979)≹⇙⪍(⊺⇮6433⋳⪒⊺⇮4491)⫡⨏((↯⪼⊺⇮1132)⋓⊺⇮2009∑⇟⊟⊺⇮3227≫≃)","cot":[{"info":"⊺⇮1564≧⫂∧⊺⇮2432=⊺⇮1959","layer":3},{"info":"-⊺⇮1959=⊺⇮-1959","layer":2},{"info":"⫛⫱⨽⊺⇮1979=⊺⇮0","layer":3},{"info":"⊺⇮6433⋳⪒⊺⇮4491=⊺⇮8088","layer":3},{"info":"⊺⇮0≹⇙⪍⊺⇮8088=NaN","layer":2},{"info":"⊺⇮-1959⊴NaN=NaN","layer":1},{"info":"↯⪼⊺⇮1132=⊺⇮-21","layer":3},{"info":"⊺⇮2009∑⇟⊟⊺⇮3227=NaN","layer":3},{"info":"⊺⇮-21⋓NaN=NaN","layer":2},{"info":"NaN≫≃=NaN","layer":1},{"info":"NaN⫡⨏NaN=NaN","layer":0}]}
{"id":623,"expression_no_base_symbol":"($2912$⩨$4437$%$2107$↙$2129$)⪮%⊝($1288$⩚⊴⇥$1439$↺(↣≠⋷$1037$))⨎(($2289$⇋≉)≧⫂∧(↩$4323$))∼($3661$⨓$1371$∲⫓$2617$*$1513$)","expression":"(⊺⇮2912⩨⊺⇮4437%⊺⇮2107↙⊺⇮2129)⪮%⊝(⊺⇮1288⩚⊴⇥⊺⇮1439↺(↣≠⋷⊺⇮1037))⨎((⊺⇮2289⇋≉)≧⫂∧(↩⊺⇮4323))∼(⊺⇮3661⨓⊺⇮1371∲⫓⊺⇮2617*⊺⇮1513)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":5800,"operation_count":15,"complexity_ratio":386.6666666666667,"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":2912,"base":10},"right_expr":{"type":"numeric_atoms","value":4437,"base":10}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2107,"base":10},"right_expr":{"type":"numeric_atoms","value":2129,"base":10}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1288,"base":10},"right_expr":{"type":"numeric_atoms","value":1439,"base":10}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1037,"base":10}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":2289,"base":10}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":4323,"base":10}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3661,"base":10},"right_expr":{"type":"numeric_atoms","value":1371,"base":10}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2617,"base":10},"right_expr":{"type":"numeric_atoms","value":1513,"base":10}}}}},"used_operators":["rJVOvQCfKK","IWmyXbctLI","k8jYdgA6NY","2DlMacCsIx","yyfyN0ffXY","7j4O788W3g","NTOWxs364D","Asc51vEJeQ","DyGG3AbaNP","Ph9nP6C5qx","XIabStNQrY","jLgFTUHLKL","i8ToyICDmI","3ViojmjbAp","9HNa5Wba9A"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","XhwjNDsVaA","AHs5Up7iyr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe"],"result":"⊺⇮20","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2912","layer":4},{"info":"number node, value=4437","layer":4},{"info":"compute binary expreesion, left_input=2912, right_input=4437, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=2107","layer":4},{"info":"number node, value=2129","layer":4},{"info":"compute binary expreesion, left_input=2107, right_input=2129, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-6387","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=-6387, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-3","layer":2},{"info":"number node, value=1288","layer":4},{"info":"number node, value=1439","layer":4},{"info":"compute binary expreesion, left_input=1288, right_input=1439, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2848","layer":3},{"info":"number node, value=1037","layer":4},{"info":"compute unary expreesion, input=1037, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2848, 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=-3, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"number node, value=2289","layer":4},{"info":"compute unary expreesion, input=2289, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=4480","layer":3},{"info":"number node, value=4323","layer":4},{"info":"compute unary expreesion, input=4323, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-31804","layer":3},{"info":"compute binary expreesion, left_input=4480, right_input=-31804, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=36284","layer":2},{"info":"number node, value=3661","layer":4},{"info":"number node, value=1371","layer":4},{"info":"compute binary expreesion, left_input=3661, right_input=1371, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1374","layer":3},{"info":"number node, value=2617","layer":4},{"info":"number node, value=1513","layer":4},{"info":"compute binary expreesion, left_input=2617, right_input=1513, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3959521","layer":3},{"info":"compute binary expreesion, left_input=-1374, right_input=3959521, 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=36284, right_input=0, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=20","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=20, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=20","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮2912⩨⊺⇮4437%⊺⇮2107↙⊺⇮2129)⪮%⊝(⊺⇮1288⩚⊴⇥⊺⇮1439↺(↣≠⋷⊺⇮1037))⨎((⊺⇮2289⇋≉)≧⫂∧(↩⊺⇮4323))∼(⊺⇮3661⨓⊺⇮1371∲⫓⊺⇮2617*⊺⇮1513)=⊺⇮20","reverse_text":"⊺⇮20=(⊺⇮2912⩨⊺⇮4437%⊺⇮2107↙⊺⇮2129)⪮%⊝(⊺⇮1288⩚⊴⇥⊺⇮1439↺(↣≠⋷⊺⇮1037))⨎((⊺⇮2289⇋≉)≧⫂∧(↩⊺⇮4323))∼(⊺⇮3661⨓⊺⇮1371∲⫓⊺⇮2617*⊺⇮1513)","cot":[{"info":"⊺⇮2912⩨⊺⇮4437=⊺⇮-3","layer":3},{"info":"⊺⇮2107↙⊺⇮2129=⊺⇮-6387","layer":3},{"info":"⊺⇮-3%⊺⇮-6387=⊺⇮-3","layer":2},{"info":"⊺⇮1288⩚⊴⇥⊺⇮1439=⊺⇮-2848","layer":3},{"info":"↣≠⋷⊺⇮1037=NaN","layer":3},{"info":"⊺⇮-2848↺NaN=NaN","layer":2},{"info":"⊺⇮-3⪮%⊝NaN=NaN","layer":1},{"info":"⊺⇮2289⇋≉=⊺⇮4480","layer":3},{"info":"↩⊺⇮4323=⊺⇮-31804","layer":3},{"info":"⊺⇮4480≧⫂∧⊺⇮-31804=⊺⇮36284","layer":2},{"info":"⊺⇮3661⨓⊺⇮1371=⊺⇮-1374","layer":3},{"info":"⊺⇮2617*⊺⇮1513=⊺⇮3959521","layer":3},{"info":"⊺⇮-1374∲⫓⊺⇮3959521=⊺⇮0","layer":2},{"info":"⊺⇮36284∼⊺⇮0=⊺⇮20","layer":1},{"info":"NaN⨎⊺⇮20=⊺⇮20","layer":0}]}
{"id":624,"expression_no_base_symbol":"($2749$⨪↰⇹$8058$⫡⨏$7178$⫥∨⫟$8206$)≧⫂∧(($4670$⨸⪁$6172$)≣⋋)⋓((⊙↵-$2115$)⇼⇔∾$3040$↬$3771$+($2288$∧)⨪↰⇹$4261$⪘⫢$3543$)","expression":"(⊺⇮2749⨪↰⇹⊺⇮8058⫡⨏⊺⇮7178⫥∨⫟⊺⇮8206)≧⫂∧((⊺⇮4670⨸⪁⊺⇮6172)≣⋋)⋓((⊙↵-⊺⇮2115)⇼⇔∾⊺⇮3040↬⊺⇮3771+(⊺⇮2288∧)⨪↰⇹⊺⇮4261⪘⫢⊺⇮3543)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5628,"operation_count":14,"complexity_ratio":402.0,"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":2749,"base":10},"right_expr":{"type":"numeric_atoms","value":8058,"base":10}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":7178,"base":10},"right_expr":{"type":"numeric_atoms","value":8206,"base":10}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4670,"base":10},"right_expr":{"type":"numeric_atoms","value":6172,"base":10}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2115,"base":10}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3040,"base":10},"right_expr":{"type":"numeric_atoms","value":3771,"base":10}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":2288,"base":10}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4261,"base":10},"right_expr":{"type":"numeric_atoms","value":3543,"base":10}}}}},"used_operators":["T2fj7uvVaJ","Ph9nP6C5qx","QMFrweE19q","tmPS8pqC7x","KYD54nUTWz","Tcnh7f0tEr","g55IO6H4Gj","W4YGzv6Whe","tifHPKVTfV","oWn0xqSxBt","B5M0gjZbta","z63VuFQld9","oacrs7FA3X"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rGHVDoGpnC","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2749","layer":4},{"info":"number node, value=8058","layer":4},{"info":"compute binary expreesion, left_input=2749, right_input=8058, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2749","layer":3},{"info":"number node, value=7178","layer":4},{"info":"number node, value=8206","layer":4},{"info":"compute binary expreesion, left_input=7178, right_input=8206, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2749, 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=4670","layer":4},{"info":"number node, value=6172","layer":4},{"info":"compute binary expreesion, left_input=4670, right_input=6172, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=21684","layer":3},{"info":"compute unary expreesion, input=21684, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-473","layer":1},{"info":"number node, value=2115","layer":4},{"info":"compute unary expreesion, input=2115, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=3040","layer":4},{"info":"number node, value=3771","layer":4},{"info":"compute binary expreesion, left_input=3040, right_input=3771, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"number node, value=2288","layer":4},{"info":"compute unary expreesion, input=2288, 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=4261","layer":4},{"info":"number node, value=3543","layer":4},{"info":"compute binary expreesion, left_input=4261, right_input=3543, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=8398","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8398, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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 = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-473, 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":10,"result_base":10,"text":"(⊺⇮2749⨪↰⇹⊺⇮8058⫡⨏⊺⇮7178⫥∨⫟⊺⇮8206)≧⫂∧((⊺⇮4670⨸⪁⊺⇮6172)≣⋋)⋓((⊙↵-⊺⇮2115)⇼⇔∾⊺⇮3040↬⊺⇮3771+(⊺⇮2288∧)⨪↰⇹⊺⇮4261⪘⫢⊺⇮3543)=NaN","reverse_text":"NaN=(⊺⇮2749⨪↰⇹⊺⇮8058⫡⨏⊺⇮7178⫥∨⫟⊺⇮8206)≧⫂∧((⊺⇮4670⨸⪁⊺⇮6172)≣⋋)⋓((⊙↵-⊺⇮2115)⇼⇔∾⊺⇮3040↬⊺⇮3771+(⊺⇮2288∧)⨪↰⇹⊺⇮4261⪘⫢⊺⇮3543)","cot":[{"info":"⊺⇮2749⨪↰⇹⊺⇮8058=⊺⇮2749","layer":3},{"info":"⊺⇮7178⫥∨⫟⊺⇮8206=NaN","layer":3},{"info":"⊺⇮2749⫡⨏NaN=NaN","layer":2},{"info":"⊺⇮4670⨸⪁⊺⇮6172=⊺⇮21684","layer":3},{"info":"⊺⇮21684≣⋋=⊺⇮0","layer":2},{"info":"NaN≧⫂∧⊺⇮0=⊺⇮-473","layer":1},{"info":"⊙↵-⊺⇮2115=⊺⇮-1","layer":3},{"info":"⊺⇮3040↬⊺⇮3771=NaN","layer":3},{"info":"⊺⇮-1⇼⇔∾NaN=NaN","layer":2},{"info":"⊺⇮2288∧=NaN","layer":3},{"info":"⊺⇮4261⪘⫢⊺⇮3543=⊺⇮8398","layer":3},{"info":"NaN⨪↰⇹⊺⇮8398=NaN","layer":2},{"info":"NaN+NaN=NaN","layer":1},{"info":"⊺⇮-473⋓NaN=NaN","layer":0}]}
{"id":625,"expression_no_base_symbol":"($6960$⩷∴$1765$%(⩦⩻⨪$2875$))⪘⫢(($3525$≎⊠⪸$1613$)≫≃)⊭∹↮","expression":"(⊺⇮6960⩷∴⊺⇮1765%(⩦⩻⨪⊺⇮2875))⪘⫢((⊺⇮3525≎⊠⪸⊺⇮1613)≫≃)⊭∹↮","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":310,"operation_count":7,"complexity_ratio":44.285714285714285,"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":6960,"base":10},"right_expr":{"type":"numeric_atoms","value":1765,"base":10}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2875,"base":10}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3525,"base":10},"right_expr":{"type":"numeric_atoms","value":1613,"base":10}}}}},"used_operators":["xNBdhnnwKq","oacrs7FA3X","k8jYdgA6NY","9FxExcQeMw","2td37pGCOC","X99M06cbEe","bJkvcejdHO"],"dependent_operators":["2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⊺⇮6684","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6960","layer":4},{"info":"number node, value=1765","layer":4},{"info":"compute binary expreesion, left_input=6960, right_input=1765, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=10358","layer":3},{"info":"number node, value=2875","layer":4},{"info":"compute unary expreesion, input=2875, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2875","layer":3},{"info":"compute binary expreesion, left_input=10358, right_input=2875, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1733","layer":2},{"info":"number node, value=3525","layer":4},{"info":"number node, value=1613","layer":4},{"info":"compute binary expreesion, left_input=3525, right_input=1613, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=912502","layer":3},{"info":"compute unary expreesion, input=912502, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=1826405","layer":2},{"info":"compute binary expreesion, left_input=1733, right_input=1826405, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3342","layer":1},{"info":"compute unary expreesion, input=3342, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=6684","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮6960⩷∴⊺⇮1765%(⩦⩻⨪⊺⇮2875))⪘⫢((⊺⇮3525≎⊠⪸⊺⇮1613)≫≃)⊭∹↮=⊺⇮6684","reverse_text":"⊺⇮6684=(⊺⇮6960⩷∴⊺⇮1765%(⩦⩻⨪⊺⇮2875))⪘⫢((⊺⇮3525≎⊠⪸⊺⇮1613)≫≃)⊭∹↮","cot":[{"info":"⊺⇮6960⩷∴⊺⇮1765=⊺⇮10358","layer":3},{"info":"⩦⩻⨪⊺⇮2875=⊺⇮2875","layer":3},{"info":"⊺⇮10358%⊺⇮2875=⊺⇮1733","layer":2},{"info":"⊺⇮3525≎⊠⪸⊺⇮1613=⊺⇮912502","layer":3},{"info":"⊺⇮912502≫≃=⊺⇮1826405","layer":2},{"info":"⊺⇮1733⪘⫢⊺⇮1826405=⊺⇮3342","layer":1},{"info":"⊺⇮3342⊭∹↮=⊺⇮6684","layer":0}]}
{"id":626,"expression_no_base_symbol":"(($3934$⫥∨⫟$4987$)≫≃)⊴($1293$≭$1269$↙$5388$⨐⩸⫘$1066$)⇼⇔∾((⊙↵-$1125$)⫥∨⫟$1510$≹⇙⪍$1645$+($1442$⊉≛↸$1524$/$1148$⪢$2016$))","expression":"((⊺⇮3934⫥∨⫟⊺⇮4987)≫≃)⊴(⊺⇮1293≭⊺⇮1269↙⊺⇮5388⨐⩸⫘⊺⇮1066)⇼⇔∾((⊙↵-⊺⇮1125)⫥∨⫟⊺⇮1510≹⇙⪍⊺⇮1645+(⊺⇮1442⊉≛↸⊺⇮1524/⊺⇮1148⪢⊺⇮2016))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3519,"operation_count":14,"complexity_ratio":251.35714285714286,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3934,"base":10},"right_expr":{"type":"numeric_atoms","value":4987,"base":10}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1293,"base":10},"right_expr":{"type":"numeric_atoms","value":1269,"base":10}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":5388,"base":10},"right_expr":{"type":"numeric_atoms","value":1066,"base":10}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1125,"base":10}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1510,"base":10},"right_expr":{"type":"numeric_atoms","value":1645,"base":10}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1442,"base":10},"right_expr":{"type":"numeric_atoms","value":1524,"base":10}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1148,"base":10},"right_expr":{"type":"numeric_atoms","value":2016,"base":10}}}}},"used_operators":["tifHPKVTfV","Nsiff2A1zJ","X99M06cbEe","KYD54nUTWz","yyfyN0ffXY","rxpJgHHUmx","fu6greOZ01","W4YGzv6Whe","oWn0xqSxBt","AHs5Up7iyr","XhwjNDsVaA","DZ8iAZOCBD","dWAJyo7jo9"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","8HhzD0ZcuI","rGHVDoGpnC","tmPS8pqC7x","DpFCA1CohY","AHs5Up7iyr","3ViojmjbAp","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","dWAJyo7jo9","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=3934","layer":4},{"info":"number node, value=4987","layer":4},{"info":"compute binary expreesion, left_input=3934, right_input=4987, 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":"number node, value=1293","layer":4},{"info":"number node, value=1269","layer":4},{"info":"compute binary expreesion, left_input=1293, right_input=1269, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=5388","layer":4},{"info":"number node, value=1066","layer":4},{"info":"compute binary expreesion, left_input=5388, right_input=1066, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=nan, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=1125","layer":4},{"info":"compute unary expreesion, input=1125, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=1510","layer":4},{"info":"number node, value=1645","layer":4},{"info":"compute binary expreesion, left_input=1510, right_input=1645, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=-1, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1442","layer":4},{"info":"number node, value=1524","layer":4},{"info":"compute binary expreesion, left_input=1442, right_input=1524, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2884","layer":3},{"info":"number node, value=1148","layer":4},{"info":"number node, value=2016","layer":4},{"info":"compute binary expreesion, left_input=1148, right_input=2016, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=2884, 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 = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮3934⫥∨⫟⊺⇮4987)≫≃)⊴(⊺⇮1293≭⊺⇮1269↙⊺⇮5388⨐⩸⫘⊺⇮1066)⇼⇔∾((⊙↵-⊺⇮1125)⫥∨⫟⊺⇮1510≹⇙⪍⊺⇮1645+(⊺⇮1442⊉≛↸⊺⇮1524/⊺⇮1148⪢⊺⇮2016))=NaN","reverse_text":"NaN=((⊺⇮3934⫥∨⫟⊺⇮4987)≫≃)⊴(⊺⇮1293≭⊺⇮1269↙⊺⇮5388⨐⩸⫘⊺⇮1066)⇼⇔∾((⊙↵-⊺⇮1125)⫥∨⫟⊺⇮1510≹⇙⪍⊺⇮1645+(⊺⇮1442⊉≛↸⊺⇮1524/⊺⇮1148⪢⊺⇮2016))","cot":[{"info":"⊺⇮3934⫥∨⫟⊺⇮4987=NaN","layer":3},{"info":"NaN≫≃=NaN","layer":2},{"info":"⊺⇮1293≭⊺⇮1269=NaN","layer":3},{"info":"⊺⇮5388⨐⩸⫘⊺⇮1066=NaN","layer":3},{"info":"NaN↙NaN=NaN","layer":2},{"info":"NaN⊴NaN=NaN","layer":1},{"info":"⊙↵-⊺⇮1125=⊺⇮-1","layer":3},{"info":"⊺⇮1510≹⇙⪍⊺⇮1645=NaN","layer":3},{"info":"⊺⇮-1⫥∨⫟NaN=NaN","layer":2},{"info":"⊺⇮1442⊉≛↸⊺⇮1524=⊺⇮2884","layer":3},{"info":"⊺⇮1148⪢⊺⇮2016=NaN","layer":3},{"info":"⊺⇮2884/NaN=NaN","layer":2},{"info":"NaN+NaN=NaN","layer":1},{"info":"NaN⇼⇔∾NaN=NaN","layer":0}]}
{"id":627,"expression_no_base_symbol":"(≤/(⨞⊢$5011$)⨰($2404$⨳⩥⨓$1253$))⪢((⊄⩳↩($4190$⋓$2086$))↙($3025$⊭↱$1069$⊉≛↸(↥$1050$)))","expression":"(≤/(⨞⊢⊺⇮5011)⨰(⊺⇮2404⨳⩥⨓⊺⇮1253))⪢((⊄⩳↩(⊺⇮4190⋓⊺⇮2086))↙(⊺⇮3025⊭↱⊺⇮1069⊉≛↸(↥⊺⇮1050)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":60,"operation_count":11,"complexity_ratio":5.454545454545454,"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":5011,"base":10}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2404,"base":10},"right_expr":{"type":"numeric_atoms","value":1253,"base":10}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4190,"base":10},"right_expr":{"type":"numeric_atoms","value":2086,"base":10}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3025,"base":10},"right_expr":{"type":"numeric_atoms","value":1069,"base":10}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1050,"base":10}}}}},"used_operators":["dWAJyo7jo9","eLAdDNolq6","eewbuw0ToL","xUOZtlo3hN","nCS4ZIUYfx","yyfyN0ffXY","8w2t5hMYqp","T2fj7uvVaJ","DZ8iAZOCBD","COABgblf1C","A8NUZmVepG"],"dependent_operators":["k8jYdgA6NY","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5011","layer":4},{"info":"compute unary expreesion, input=5011, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-5185","layer":3},{"info":"number node, value=2404","layer":4},{"info":"number node, value=1253","layer":4},{"info":"compute binary expreesion, left_input=2404, right_input=1253, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1151","layer":3},{"info":"compute binary expreesion, left_input=-5185, right_input=-1151, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-4024","layer":2},{"info":"compute unary expreesion, input=-4024, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=4508","layer":1},{"info":"number node, value=4190","layer":4},{"info":"number node, value=2086","layer":4},{"info":"compute binary expreesion, left_input=4190, right_input=2086, op_id = T2fj7uvVaJ binary_op_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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=0","layer":2},{"info":"number node, value=3025","layer":4},{"info":"number node, value=1069","layer":4},{"info":"compute binary expreesion, left_input=3025, right_input=1069, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-3907","layer":3},{"info":"number node, value=1050","layer":4},{"info":"compute unary expreesion, input=1050, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=30","layer":3},{"info":"compute binary expreesion, left_input=-3907, right_input=30, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-30","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-30, 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=4508, right_input=0, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=0","layer":0}],"base":10,"result_base":10,"text":"(≤/(⨞⊢⊺⇮5011)⨰(⊺⇮2404⨳⩥⨓⊺⇮1253))⪢((⊄⩳↩(⊺⇮4190⋓⊺⇮2086))↙(⊺⇮3025⊭↱⊺⇮1069⊉≛↸(↥⊺⇮1050)))=⊺⇮0","reverse_text":"⊺⇮0=(≤/(⨞⊢⊺⇮5011)⨰(⊺⇮2404⨳⩥⨓⊺⇮1253))⪢((⊄⩳↩(⊺⇮4190⋓⊺⇮2086))↙(⊺⇮3025⊭↱⊺⇮1069⊉≛↸(↥⊺⇮1050)))","cot":[{"info":"⨞⊢⊺⇮5011=⊺⇮-5185","layer":3},{"info":"⊺⇮2404⨳⩥⨓⊺⇮1253=⊺⇮-1151","layer":3},{"info":"⊺⇮-5185⨰⊺⇮-1151=⊺⇮-4024","layer":2},{"info":"≤/⊺⇮-4024=⊺⇮4508","layer":1},{"info":"⊺⇮4190⋓⊺⇮2086=⊺⇮0","layer":3},{"info":"⊄⩳↩⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮3025⊭↱⊺⇮1069=⊺⇮-3907","layer":3},{"info":"↥⊺⇮1050=⊺⇮30","layer":3},{"info":"⊺⇮-3907⊉≛↸⊺⇮30=⊺⇮-30","layer":2},{"info":"⊺⇮0↙⊺⇮-30=⊺⇮0","layer":1},{"info":"⊺⇮4508⪢⊺⇮0=⊺⇮0","layer":0}]}
{"id":628,"expression_no_base_symbol":"(⨈⫕($1386$⩨$5040$)⪛($2093$⫡⨏$1592$))⊉≛↸(($1331$≭$1408$⩨$8727$⩷∴$2403$)≦≮≮)","expression":"(⨈⫕(⊺⇮1386⩨⊺⇮5040)⪛(⊺⇮2093⫡⨏⊺⇮1592))⊉≛↸((⊺⇮1331≭⊺⇮1408⩨⊺⇮8727⩷∴⊺⇮2403)≦≮≮)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":419,"operation_count":9,"complexity_ratio":46.55555555555556,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1386,"base":10},"right_expr":{"type":"numeric_atoms","value":5040,"base":10}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2093,"base":10},"right_expr":{"type":"numeric_atoms","value":1592,"base":10}}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1331,"base":10},"right_expr":{"type":"numeric_atoms","value":1408,"base":10}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":8727,"base":10},"right_expr":{"type":"numeric_atoms","value":2403,"base":10}}}}},"used_operators":["DZ8iAZOCBD","megm06wKyl","uFcxV4UQCh","2DlMacCsIx","QMFrweE19q","D4vGDi5EA2","rxpJgHHUmx","9FxExcQeMw"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z"],"result":"⊺⇮-42","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1386","layer":4},{"info":"number node, value=5040","layer":4},{"info":"compute binary expreesion, left_input=1386, right_input=5040, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-9","layer":3},{"info":"number node, value=2093","layer":4},{"info":"number node, value=1592","layer":4},{"info":"compute binary expreesion, left_input=2093, right_input=1592, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=14432","layer":3},{"info":"compute binary expreesion, left_input=-9, right_input=14432, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=14423","layer":2},{"info":"compute unary expreesion, input=14423, 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=1331","layer":4},{"info":"number node, value=1408","layer":4},{"info":"compute binary expreesion, left_input=1331, right_input=1408, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=8727","layer":4},{"info":"number node, value=2403","layer":4},{"info":"compute binary expreesion, left_input=8727, right_input=2403, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=12616","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=12616, 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 = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', 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":10,"result_base":10,"text":"(⨈⫕(⊺⇮1386⩨⊺⇮5040)⪛(⊺⇮2093⫡⨏⊺⇮1592))⊉≛↸((⊺⇮1331≭⊺⇮1408⩨⊺⇮8727⩷∴⊺⇮2403)≦≮≮)=⊺⇮-42","reverse_text":"⊺⇮-42=(⨈⫕(⊺⇮1386⩨⊺⇮5040)⪛(⊺⇮2093⫡⨏⊺⇮1592))⊉≛↸((⊺⇮1331≭⊺⇮1408⩨⊺⇮8727⩷∴⊺⇮2403)≦≮≮)","cot":[{"info":"⊺⇮1386⩨⊺⇮5040=⊺⇮-9","layer":3},{"info":"⊺⇮2093⫡⨏⊺⇮1592=⊺⇮14432","layer":3},{"info":"⊺⇮-9⪛⊺⇮14432=⊺⇮14423","layer":2},{"info":"⨈⫕⊺⇮14423=⊺⇮-21","layer":1},{"info":"⊺⇮1331≭⊺⇮1408=NaN","layer":3},{"info":"⊺⇮8727⩷∴⊺⇮2403=⊺⇮12616","layer":3},{"info":"NaN⩨⊺⇮12616=NaN","layer":2},{"info":"NaN≦≮≮=NaN","layer":1},{"info":"⊺⇮-21⊉≛↸NaN=⊺⇮-42","layer":0}]}
{"id":629,"expression_no_base_symbol":"((($1541$⨐⩸⫘$5388$)⩠)↺(-$1705$)⩷∴(↩$2335$))≫≃","expression":"(((⊺⇮1541⨐⩸⫘⊺⇮5388)⩠)↺(-⊺⇮1705)⩷∴(↩⊺⇮2335))≫≃","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":51,"operation_count":7,"complexity_ratio":7.285714285714286,"tree":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1541,"base":10},"right_expr":{"type":"numeric_atoms","value":5388,"base":10}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1705,"base":10}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":2335,"base":10}}}}},"used_operators":["X99M06cbEe","7j4O788W3g","sJAwomhLZr","fu6greOZ01","9FxExcQeMw","t8gj7n24qd","jLgFTUHLKL"],"dependent_operators":["2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","3ViojmjbAp","rysDP5nf3Z","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"⊺⇮58117","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1541","layer":4},{"info":"number node, value=5388","layer":4},{"info":"compute binary expreesion, left_input=1541, right_input=5388, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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":"number node, value=1705","layer":4},{"info":"compute unary expreesion, input=1705, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1705","layer":3},{"info":"number node, value=2335","layer":4},{"info":"compute unary expreesion, input=2335, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-15900","layer":3},{"info":"compute binary expreesion, left_input=-1705, right_input=-15900, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=28358","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=28358, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=28358","layer":1},{"info":"compute unary expreesion, input=28358, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=58117","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮1541⨐⩸⫘⊺⇮5388)⩠)↺(-⊺⇮1705)⩷∴(↩⊺⇮2335))≫≃=⊺⇮58117","reverse_text":"⊺⇮58117=(((⊺⇮1541⨐⩸⫘⊺⇮5388)⩠)↺(-⊺⇮1705)⩷∴(↩⊺⇮2335))≫≃","cot":[{"info":"⊺⇮1541⨐⩸⫘⊺⇮5388=NaN","layer":3},{"info":"NaN⩠=NaN","layer":2},{"info":"-⊺⇮1705=⊺⇮-1705","layer":3},{"info":"↩⊺⇮2335=⊺⇮-15900","layer":3},{"info":"⊺⇮-1705⩷∴⊺⇮-15900=⊺⇮28358","layer":2},{"info":"NaN↺⊺⇮28358=⊺⇮28358","layer":1},{"info":"⊺⇮28358≫≃=⊺⇮58117","layer":0}]}
{"id":630,"expression_no_base_symbol":"(↔(⪝⪂⫅$6834$))∼(($2570$∲⫓$2722$)+⇶⊼(≤/$3347$))≎⊠⪸(((≦∁$3373$)-$1043$≎⊠⪸$2536$)≦≮≮)","expression":"(↔(⪝⪂⫅⊺⇮6834))∼((⊺⇮2570∲⫓⊺⇮2722)+⇶⊼(≤/⊺⇮3347))≎⊠⪸(((≦∁⊺⇮3373)-⊺⇮1043≎⊠⪸⊺⇮2536)≦≮≮)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":467,"operation_count":11,"complexity_ratio":42.45454545454545,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":6834,"base":10}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2570,"base":10},"right_expr":{"type":"numeric_atoms","value":2722,"base":10}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":3347,"base":10}}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":3373,"base":10}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1043,"base":10},"right_expr":{"type":"numeric_atoms","value":2536,"base":10}}}}},"used_operators":["bJkvcejdHO","DyGG3AbaNP","ruOEQAzv1W","XTarYq4gQB","TpPTUOHfaN","i8ToyICDmI","eLAdDNolq6","D4vGDi5EA2","rysDP5nf3Z","9ICcGScMcE"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","9HNa5Wba9A","8w2t5hMYqp","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6834","layer":4},{"info":"compute unary expreesion, input=6834, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-1004598","layer":3},{"info":"compute unary expreesion, input=-1004598, 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=2570","layer":4},{"info":"number node, value=2722","layer":4},{"info":"compute binary expreesion, left_input=2570, right_input=2722, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=3347","layer":4},{"info":"compute unary expreesion, input=3347, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2863","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-2863, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = 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=3373","layer":4},{"info":"compute unary expreesion, input=3373, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3373","layer":3},{"info":"number node, value=1043","layer":4},{"info":"number node, value=2536","layer":4},{"info":"compute binary expreesion, left_input=1043, right_input=2536, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=269664","layer":3},{"info":"compute binary expreesion, left_input=3373, right_input=269664, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-266291","layer":2},{"info":"compute unary expreesion, input=-266291, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=798873","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=798873, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(↔(⪝⪂⫅⊺⇮6834))∼((⊺⇮2570∲⫓⊺⇮2722)+⇶⊼(≤/⊺⇮3347))≎⊠⪸(((≦∁⊺⇮3373)-⊺⇮1043≎⊠⪸⊺⇮2536)≦≮≮)=NaN","reverse_text":"NaN=(↔(⪝⪂⫅⊺⇮6834))∼((⊺⇮2570∲⫓⊺⇮2722)+⇶⊼(≤/⊺⇮3347))≎⊠⪸(((≦∁⊺⇮3373)-⊺⇮1043≎⊠⪸⊺⇮2536)≦≮≮)","cot":[{"info":"⪝⪂⫅⊺⇮6834=⊺⇮-1004598","layer":3},{"info":"↔⊺⇮-1004598=⊺⇮-134","layer":2},{"info":"⊺⇮2570∲⫓⊺⇮2722=⊺⇮0","layer":3},{"info":"≤/⊺⇮3347=⊺⇮-2863","layer":3},{"info":"⊺⇮0+⇶⊼⊺⇮-2863=NaN","layer":2},{"info":"⊺⇮-134∼NaN=NaN","layer":1},{"info":"≦∁⊺⇮3373=⊺⇮3373","layer":3},{"info":"⊺⇮1043≎⊠⪸⊺⇮2536=⊺⇮269664","layer":3},{"info":"⊺⇮3373-⊺⇮269664=⊺⇮-266291","layer":2},{"info":"⊺⇮-266291≦≮≮=⊺⇮798873","layer":1},{"info":"NaN≎⊠⪸⊺⇮798873=NaN","layer":0}]}
{"id":631,"expression_no_base_symbol":"+⊝⨔((+⊝⨔($2539$⇷$1034$))⫥∨⫟($5692$⋥≓≎$1410$↙($4259$⊭↱$1221$)))","expression":"+⊝⨔((+⊝⨔(⊺⇮2539⇷⊺⇮1034))⫥∨⫟(⊺⇮5692⋥≓≎⊺⇮1410↙(⊺⇮4259⊭↱⊺⇮1221)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":35777,"operation_count":7,"complexity_ratio":5111.0,"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":2539,"base":10},"right_expr":{"type":"numeric_atoms","value":1034,"base":10}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":5692,"base":10},"right_expr":{"type":"numeric_atoms","value":1410,"base":10}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4259,"base":10},"right_expr":{"type":"numeric_atoms","value":1221,"base":10}}}}},"used_operators":["DhbWaqg5eL","KYD54nUTWz","mp7IySMOzn","yyfyN0ffXY","Qy55tPpLXF","COABgblf1C"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮1522","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2539","layer":4},{"info":"number node, value=1034","layer":4},{"info":"compute binary expreesion, left_input=2539, right_input=1034, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2068","layer":3},{"info":"compute unary expreesion, input=2068, 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=5692","layer":4},{"info":"number node, value=1410","layer":4},{"info":"compute binary expreesion, left_input=5692, right_input=1410, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-2839","layer":3},{"info":"number node, value=4259","layer":4},{"info":"number node, value=1221","layer":4},{"info":"compute binary expreesion, left_input=4259, right_input=1221, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-6071","layer":3},{"info":"compute binary expreesion, left_input=-2839, right_input=-6071, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-2839","layer":2},{"info":"compute binary expreesion, left_input=1522, right_input=-2839, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽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":10,"result_base":10,"text":"+⊝⨔((+⊝⨔(⊺⇮2539⇷⊺⇮1034))⫥∨⫟(⊺⇮5692⋥≓≎⊺⇮1410↙(⊺⇮4259⊭↱⊺⇮1221)))=⊺⇮1522","reverse_text":"⊺⇮1522=+⊝⨔((+⊝⨔(⊺⇮2539⇷⊺⇮1034))⫥∨⫟(⊺⇮5692⋥≓≎⊺⇮1410↙(⊺⇮4259⊭↱⊺⇮1221)))","cot":[{"info":"⊺⇮2539⇷⊺⇮1034=⊺⇮2068","layer":3},{"info":"+⊝⨔⊺⇮2068=⊺⇮1522","layer":2},{"info":"⊺⇮5692⋥≓≎⊺⇮1410=⊺⇮-2839","layer":3},{"info":"⊺⇮4259⊭↱⊺⇮1221=⊺⇮-6071","layer":3},{"info":"⊺⇮-2839↙⊺⇮-6071=⊺⇮-2839","layer":2},{"info":"⊺⇮1522⫥∨⫟⊺⇮-2839=NaN","layer":1},{"info":"+⊝⨔NaN=⊺⇮1522","layer":0}]}
{"id":632,"expression_no_base_symbol":"($1725$⋓$5382$⊭∹↮)⩚⊴⇥($1183$⋷$4914$/(≉$4348$))↛⩡⫤","expression":"(⊺⇮1725⋓⊺⇮5382⊭∹↮)⩚⊴⇥(⊺⇮1183⋷⊺⇮4914/(≉⊺⇮4348))↛⩡⫤","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":521,"operation_count":7,"complexity_ratio":74.42857142857143,"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":1725,"base":10},"right_expr":{"type":"numeric_atoms","value":5382,"base":10}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1183,"base":10},"right_expr":{"type":"numeric_atoms","value":4914,"base":10}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":4348,"base":10}}}}},"used_operators":["FU0Cs4j7VP","NTOWxs364D","xNBdhnnwKq","T2fj7uvVaJ","XhwjNDsVaA","23Mk6UjR3U","e1ybzncUwg"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮3857","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1725","layer":4},{"info":"number node, value=5382","layer":4},{"info":"compute binary expreesion, left_input=1725, right_input=5382, op_id = T2fj7uvVaJ binary_op_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=1183","layer":4},{"info":"number node, value=4914","layer":4},{"info":"compute binary expreesion, left_input=1183, right_input=4914, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=8645","layer":3},{"info":"number node, value=4348","layer":4},{"info":"compute unary expreesion, input=4348, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=4879","layer":3},{"info":"compute binary expreesion, left_input=8645, right_input=4879, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=1, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-122","layer":1},{"info":"compute unary expreesion, input=-122, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=3857","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1725⋓⊺⇮5382⊭∹↮)⩚⊴⇥(⊺⇮1183⋷⊺⇮4914/(≉⊺⇮4348))↛⩡⫤=⊺⇮3857","reverse_text":"⊺⇮3857=(⊺⇮1725⋓⊺⇮5382⊭∹↮)⩚⊴⇥(⊺⇮1183⋷⊺⇮4914/(≉⊺⇮4348))↛⩡⫤","cot":[{"info":"⊺⇮1725⋓⊺⇮5382=⊺⇮0","layer":3},{"info":"⊺⇮0⊭∹↮=⊺⇮0","layer":2},{"info":"⊺⇮1183⋷⊺⇮4914=⊺⇮8645","layer":3},{"info":"≉⊺⇮4348=⊺⇮4879","layer":3},{"info":"⊺⇮8645/⊺⇮4879=⊺⇮1","layer":2},{"info":"⊺⇮0⩚⊴⇥⊺⇮1=⊺⇮-122","layer":1},{"info":"⊺⇮-122↛⩡⫤=⊺⇮3857","layer":0}]}
{"id":633,"expression_no_base_symbol":"(≉((⪝⪂⫅$6053$)⪒$2172$↺$5666$))+⇶⊼(($3872$⫡⨏$4304$)⫸⊐($6530$∲⫓$2400$)⊉≛↸(($3918$⪒$2733$)⇼⇔∾($2962$⪒$8200$)))","expression":"(≉((⪝⪂⫅⊺⇮6053)⪒⊺⇮2172↺⊺⇮5666))+⇶⊼((⊺⇮3872⫡⨏⊺⇮4304)⫸⊐(⊺⇮6530∲⫓⊺⇮2400)⊉≛↸((⊺⇮3918⪒⊺⇮2733)⇼⇔∾(⊺⇮2962⪒⊺⇮8200)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":203,"operation_count":12,"complexity_ratio":16.916666666666668,"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":6053,"base":10}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2172,"base":10},"right_expr":{"type":"numeric_atoms","value":5666,"base":10}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3872,"base":10},"right_expr":{"type":"numeric_atoms","value":4304,"base":10}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":6530,"base":10},"right_expr":{"type":"numeric_atoms","value":2400,"base":10}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3918,"base":10},"right_expr":{"type":"numeric_atoms","value":2733,"base":10}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2962,"base":10},"right_expr":{"type":"numeric_atoms","value":8200,"base":10}}}}},"used_operators":["TpPTUOHfaN","e1ybzncUwg","f6k1SAg4EE","XTarYq4gQB","7j4O788W3g","DZ8iAZOCBD","mqXw5SEYmG","QMFrweE19q","i8ToyICDmI","tifHPKVTfV"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6053","layer":4},{"info":"compute unary expreesion, input=6053, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-889791","layer":3},{"info":"number node, value=2172","layer":4},{"info":"number node, value=5666","layer":4},{"info":"compute binary expreesion, left_input=2172, right_input=5666, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5666","layer":3},{"info":"compute binary expreesion, left_input=-889791, right_input=5666, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=884125","layer":2},{"info":"compute unary expreesion, input=884125, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=884656","layer":1},{"info":"number node, value=3872","layer":4},{"info":"number node, value=4304","layer":4},{"info":"compute binary expreesion, left_input=3872, right_input=4304, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=28751","layer":3},{"info":"number node, value=6530","layer":4},{"info":"number node, value=2400","layer":4},{"info":"compute binary expreesion, left_input=6530, right_input=2400, 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=28751, right_input=0, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-125","layer":2},{"info":"number node, value=3918","layer":4},{"info":"number node, value=2733","layer":4},{"info":"compute binary expreesion, left_input=3918, right_input=2733, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6651","layer":3},{"info":"number node, value=2962","layer":4},{"info":"number node, value=8200","layer":4},{"info":"compute binary expreesion, left_input=2962, right_input=8200, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-11162","layer":3},{"info":"compute binary expreesion, left_input=-6651, right_input=-11162, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-4511","layer":2},{"info":"compute binary expreesion, left_input=-125, right_input=-4511, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4511","layer":1},{"info":"compute binary expreesion, left_input=884656, right_input=4511, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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":10,"result_base":10,"text":"(≉((⪝⪂⫅⊺⇮6053)⪒⊺⇮2172↺⊺⇮5666))+⇶⊼((⊺⇮3872⫡⨏⊺⇮4304)⫸⊐(⊺⇮6530∲⫓⊺⇮2400)⊉≛↸((⊺⇮3918⪒⊺⇮2733)⇼⇔∾(⊺⇮2962⪒⊺⇮8200)))=NaN","reverse_text":"NaN=(≉((⪝⪂⫅⊺⇮6053)⪒⊺⇮2172↺⊺⇮5666))+⇶⊼((⊺⇮3872⫡⨏⊺⇮4304)⫸⊐(⊺⇮6530∲⫓⊺⇮2400)⊉≛↸((⊺⇮3918⪒⊺⇮2733)⇼⇔∾(⊺⇮2962⪒⊺⇮8200)))","cot":[{"info":"⪝⪂⫅⊺⇮6053=⊺⇮-889791","layer":3},{"info":"⊺⇮2172↺⊺⇮5666=⊺⇮5666","layer":3},{"info":"⊺⇮-889791⪒⊺⇮5666=⊺⇮884125","layer":2},{"info":"≉⊺⇮884125=⊺⇮884656","layer":1},{"info":"⊺⇮3872⫡⨏⊺⇮4304=⊺⇮28751","layer":3},{"info":"⊺⇮6530∲⫓⊺⇮2400=⊺⇮0","layer":3},{"info":"⊺⇮28751⫸⊐⊺⇮0=⊺⇮-125","layer":2},{"info":"⊺⇮3918⪒⊺⇮2733=⊺⇮-6651","layer":3},{"info":"⊺⇮2962⪒⊺⇮8200=⊺⇮-11162","layer":3},{"info":"⊺⇮-6651⇼⇔∾⊺⇮-11162=⊺⇮-4511","layer":2},{"info":"⊺⇮-125⊉≛↸⊺⇮-4511=⊺⇮4511","layer":1},{"info":"⊺⇮884656+⇶⊼⊺⇮4511=NaN","layer":0}]}
{"id":634,"expression_no_base_symbol":"(⨵≀≌($8147$⩚⊴⇥$1338$*($3629$⫌⩹⨱)))⩨(↩$2417$⋳⪒$2784$)⨳⩥⨓(↩$1388$+⇶⊼$3638$)","expression":"(⨵≀≌(⊺⇮8147⩚⊴⇥⊺⇮1338*(⊺⇮3629⫌⩹⨱)))⩨(↩⊺⇮2417⋳⪒⊺⇮2784)⨳⩥⨓(↩⊺⇮1388+⇶⊼⊺⇮3638)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":83187078,"operation_count":10,"complexity_ratio":8318707.8,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":8147,"base":10},"right_expr":{"type":"numeric_atoms","value":1338,"base":10}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":3629,"base":10}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2417,"base":10},"right_expr":{"type":"numeric_atoms","value":2784,"base":10}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1388,"base":10},"right_expr":{"type":"numeric_atoms","value":3638,"base":10}}}}},"used_operators":["2DlMacCsIx","srAu1WTS94","9HNa5Wba9A","NTOWxs364D","EBcxylXtPf","nCS4ZIUYfx","jLgFTUHLKL","12rbrZMWeM","TpPTUOHfaN"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=8147","layer":4},{"info":"number node, value=1338","layer":4},{"info":"compute binary expreesion, left_input=8147, right_input=1338, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-9606","layer":3},{"info":"number node, value=3629","layer":4},{"info":"compute unary expreesion, input=3629, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=8659","layer":3},{"info":"compute binary expreesion, left_input=-9606, right_input=8659, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-83178354","layer":2},{"info":"compute unary expreesion, input=-83178354, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=inf","layer":1},{"info":"number node, value=2417","layer":4},{"info":"number node, value=2784","layer":4},{"info":"compute binary expreesion, left_input=2417, right_input=2784, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1763","layer":3},{"info":"compute unary expreesion, input=1763, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-11324","layer":2},{"info":"number node, value=1388","layer":4},{"info":"number node, value=3638","layer":4},{"info":"compute binary expreesion, left_input=1388, right_input=3638, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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 = 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=-11324, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=inf, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⨵≀≌(⊺⇮8147⩚⊴⇥⊺⇮1338*(⊺⇮3629⫌⩹⨱)))⩨(↩⊺⇮2417⋳⪒⊺⇮2784)⨳⩥⨓(↩⊺⇮1388+⇶⊼⊺⇮3638)=NaN","reverse_text":"NaN=(⨵≀≌(⊺⇮8147⩚⊴⇥⊺⇮1338*(⊺⇮3629⫌⩹⨱)))⩨(↩⊺⇮2417⋳⪒⊺⇮2784)⨳⩥⨓(↩⊺⇮1388+⇶⊼⊺⇮3638)","cot":[{"info":"⊺⇮8147⩚⊴⇥⊺⇮1338=⊺⇮-9606","layer":3},{"info":"⊺⇮3629⫌⩹⨱=⊺⇮8659","layer":3},{"info":"⊺⇮-9606*⊺⇮8659=⊺⇮-83178354","layer":2},{"info":"⨵≀≌⊺⇮-83178354=Inf","layer":1},{"info":"⊺⇮2417⋳⪒⊺⇮2784=⊺⇮1763","layer":3},{"info":"↩⊺⇮1763=⊺⇮-11324","layer":2},{"info":"⊺⇮1388+⇶⊼⊺⇮3638=NaN","layer":3},{"info":"↩NaN=NaN","layer":2},{"info":"⊺⇮-11324⨳⩥⨓NaN=NaN","layer":1},{"info":"Inf⩨NaN=NaN","layer":0}]}
{"id":635,"expression_no_base_symbol":"(≉((⫓⪴$3177$)⋷($2077$+$2333$)))*($1934$≭$4077$⨎$1582$≹⇙⪍$4477$⇼⇔∾($1189$+$1441$⫡⨏($1303$≣⋋)))","expression":"(≉((⫓⪴⊺⇮3177)⋷(⊺⇮2077+⊺⇮2333)))*(⊺⇮1934≭⊺⇮4077⨎⊺⇮1582≹⇙⪍⊺⇮4477⇼⇔∾(⊺⇮1189+⊺⇮1441⫡⨏(⊺⇮1303≣⋋)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3710,"operation_count":12,"complexity_ratio":309.1666666666667,"tree":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":3177,"base":10}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2077,"base":10},"right_expr":{"type":"numeric_atoms","value":2333,"base":10}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1934,"base":10},"right_expr":{"type":"numeric_atoms","value":4077,"base":10}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1582,"base":10},"right_expr":{"type":"numeric_atoms","value":4477,"base":10}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1189,"base":10},"right_expr":{"type":"numeric_atoms","value":1441,"base":10}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":1303,"base":10}}}}},"used_operators":["9HNa5Wba9A","e1ybzncUwg","23Mk6UjR3U","eLxqMNBOBk","W4YGzv6Whe","tifHPKVTfV","rJVOvQCfKK","rxpJgHHUmx","AHs5Up7iyr","QMFrweE19q","Tcnh7f0tEr"],"dependent_operators":["W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3177","layer":4},{"info":"compute unary expreesion, input=3177, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=10093329","layer":3},{"info":"number node, value=2077","layer":4},{"info":"number node, value=2333","layer":4},{"info":"compute binary expreesion, left_input=2077, right_input=2333, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4410","layer":3},{"info":"compute binary expreesion, left_input=10093329, right_input=4410, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-10084509","layer":2},{"info":"compute unary expreesion, input=-10084509, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-10084509","layer":1},{"info":"number node, value=1934","layer":4},{"info":"number node, value=4077","layer":4},{"info":"compute binary expreesion, left_input=1934, right_input=4077, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=1582","layer":4},{"info":"number node, value=4477","layer":4},{"info":"compute binary expreesion, left_input=1582, right_input=4477, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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":"number node, value=1189","layer":4},{"info":"number node, value=1441","layer":4},{"info":"compute binary expreesion, left_input=1189, right_input=1441, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2630","layer":3},{"info":"number node, value=1303","layer":4},{"info":"compute unary expreesion, input=1303, 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=2630, 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=13933","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=13933, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-10084509, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":10,"result_base":10,"text":"(≉((⫓⪴⊺⇮3177)⋷(⊺⇮2077+⊺⇮2333)))*(⊺⇮1934≭⊺⇮4077⨎⊺⇮1582≹⇙⪍⊺⇮4477⇼⇔∾(⊺⇮1189+⊺⇮1441⫡⨏(⊺⇮1303≣⋋)))=NaN","reverse_text":"NaN=(≉((⫓⪴⊺⇮3177)⋷(⊺⇮2077+⊺⇮2333)))*(⊺⇮1934≭⊺⇮4077⨎⊺⇮1582≹⇙⪍⊺⇮4477⇼⇔∾(⊺⇮1189+⊺⇮1441⫡⨏(⊺⇮1303≣⋋)))","cot":[{"info":"⫓⪴⊺⇮3177=⊺⇮10093329","layer":3},{"info":"⊺⇮2077+⊺⇮2333=⊺⇮4410","layer":3},{"info":"⊺⇮10093329⋷⊺⇮4410=⊺⇮-10084509","layer":2},{"info":"≉⊺⇮-10084509=⊺⇮-10084509","layer":1},{"info":"⊺⇮1934≭⊺⇮4077=NaN","layer":3},{"info":"⊺⇮1582≹⇙⪍⊺⇮4477=NaN","layer":3},{"info":"NaN⨎NaN=NaN","layer":2},{"info":"⊺⇮1189+⊺⇮1441=⊺⇮2630","layer":3},{"info":"⊺⇮1303≣⋋=⊺⇮0","layer":3},{"info":"⊺⇮2630⫡⨏⊺⇮0=⊺⇮13933","layer":2},{"info":"NaN⇼⇔∾⊺⇮13933=NaN","layer":1},{"info":"⊺⇮-10084509*NaN=NaN","layer":0}]}
{"id":636,"expression_no_base_symbol":"(⩦⩻⨪(≉$2184$)⪘⫢($3523$≎⊠⪸$2798$))⨓$3988$⪮%⊝$1998$⪛($1978$⪐)∼(($6580$⨽$1810$)⫥∨⫟($3551$⪒$3085$))","expression":"(⩦⩻⨪(≉⊺⇮2184)⪘⫢(⊺⇮3523≎⊠⪸⊺⇮2798))⨓⊺⇮3988⪮%⊝⊺⇮1998⪛(⊺⇮1978⪐)∼((⊺⇮6580⨽⊺⇮1810)⫥∨⫟(⊺⇮3551⪒⊺⇮3085))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":7068,"operation_count":12,"complexity_ratio":589.0,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2184,"base":10}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3523,"base":10},"right_expr":{"type":"numeric_atoms","value":2798,"base":10}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3988,"base":10},"right_expr":{"type":"numeric_atoms","value":1998,"base":10}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1978,"base":10}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":6580,"base":10},"right_expr":{"type":"numeric_atoms","value":1810,"base":10}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3551,"base":10},"right_expr":{"type":"numeric_atoms","value":3085,"base":10}}}}},"used_operators":["3ViojmjbAp","2td37pGCOC","oacrs7FA3X","e1ybzncUwg","bJkvcejdHO","DyGG3AbaNP","uFcxV4UQCh","IWmyXbctLI","eH2TOUuTDT","KYD54nUTWz","8HhzD0ZcuI","f6k1SAg4EE"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2184","layer":4},{"info":"compute unary expreesion, input=2184, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2715","layer":3},{"info":"number node, value=3523","layer":4},{"info":"number node, value=2798","layer":4},{"info":"compute binary expreesion, left_input=3523, right_input=2798, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=911984","layer":3},{"info":"compute binary expreesion, left_input=2715, right_input=911984, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5306","layer":2},{"info":"compute unary expreesion, input=5306, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=5306","layer":1},{"info":"number node, value=3988","layer":4},{"info":"number node, value=1998","layer":4},{"info":"compute binary expreesion, left_input=3988, right_input=1998, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=8292","layer":3},{"info":"number node, value=1978","layer":4},{"info":"compute unary expreesion, input=1978, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=3956","layer":3},{"info":"compute binary expreesion, left_input=8292, right_input=3956, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=380","layer":2},{"info":"number node, value=6580","layer":4},{"info":"number node, value=1810","layer":4},{"info":"compute binary expreesion, left_input=6580, right_input=1810, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-129893316","layer":3},{"info":"number node, value=3551","layer":4},{"info":"number node, value=3085","layer":4},{"info":"compute binary expreesion, left_input=3551, right_input=3085, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6636","layer":3},{"info":"compute binary expreesion, left_input=-129893316, right_input=-6636, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=380, 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=5306, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⩦⩻⨪(≉⊺⇮2184)⪘⫢(⊺⇮3523≎⊠⪸⊺⇮2798))⨓⊺⇮3988⪮%⊝⊺⇮1998⪛(⊺⇮1978⪐)∼((⊺⇮6580⨽⊺⇮1810)⫥∨⫟(⊺⇮3551⪒⊺⇮3085))=NaN","reverse_text":"NaN=(⩦⩻⨪(≉⊺⇮2184)⪘⫢(⊺⇮3523≎⊠⪸⊺⇮2798))⨓⊺⇮3988⪮%⊝⊺⇮1998⪛(⊺⇮1978⪐)∼((⊺⇮6580⨽⊺⇮1810)⫥∨⫟(⊺⇮3551⪒⊺⇮3085))","cot":[{"info":"≉⊺⇮2184=⊺⇮2715","layer":3},{"info":"⊺⇮3523≎⊠⪸⊺⇮2798=⊺⇮911984","layer":3},{"info":"⊺⇮2715⪘⫢⊺⇮911984=⊺⇮5306","layer":2},{"info":"⩦⩻⨪⊺⇮5306=⊺⇮5306","layer":1},{"info":"⊺⇮3988⪮%⊝⊺⇮1998=⊺⇮8292","layer":3},{"info":"⊺⇮1978⪐=⊺⇮3956","layer":3},{"info":"⊺⇮8292⪛⊺⇮3956=⊺⇮380","layer":2},{"info":"⊺⇮6580⨽⊺⇮1810=⊺⇮-129893316","layer":3},{"info":"⊺⇮3551⪒⊺⇮3085=⊺⇮-6636","layer":3},{"info":"⊺⇮-129893316⫥∨⫟⊺⇮-6636=NaN","layer":2},{"info":"⊺⇮380∼NaN=NaN","layer":1},{"info":"⊺⇮5306⨓NaN=NaN","layer":0}]}
{"id":637,"expression_no_base_symbol":"(⪝⪂⫅$3104$⪘⫢$1856$)↬((⊙↵-$3938$)*$4270$⪛$1469$)⨐⩸⫘(($5916$⨰$3215$)⨟⋌⩍($7022$⋷$1010$)⊭↱($1528$∲⫓$4015$)⨟⋌⩍($8383$⋝⋈⪟$1392$))","expression":"(⪝⪂⫅⊺⇮3104⪘⫢⊺⇮1856)↬((⊙↵-⊺⇮3938)*⊺⇮4270⪛⊺⇮1469)⨐⩸⫘((⊺⇮5916⨰⊺⇮3215)⨟⋌⩍(⊺⇮7022⋷⊺⇮1010)⊭↱(⊺⇮1528∲⫓⊺⇮4015)⨟⋌⩍(⊺⇮8383⋝⋈⪟⊺⇮1392))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4179,"operation_count":14,"complexity_ratio":298.5,"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":3104,"base":10},"right_expr":{"type":"numeric_atoms","value":1856,"base":10}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":3938,"base":10}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":4270,"base":10},"right_expr":{"type":"numeric_atoms","value":1469,"base":10}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":5916,"base":10},"right_expr":{"type":"numeric_atoms","value":3215,"base":10}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":7022,"base":10},"right_expr":{"type":"numeric_atoms","value":1010,"base":10}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1528,"base":10},"right_expr":{"type":"numeric_atoms","value":4015,"base":10}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":8383,"base":10},"right_expr":{"type":"numeric_atoms","value":1392,"base":10}}}}},"used_operators":["fu6greOZ01","B5M0gjZbta","XTarYq4gQB","oacrs7FA3X","9HNa5Wba9A","oWn0xqSxBt","uFcxV4UQCh","COABgblf1C","rGHVDoGpnC","eewbuw0ToL","23Mk6UjR3U","i8ToyICDmI","2DDjHMKMc0"],"dependent_operators":["3ViojmjbAp","rGHVDoGpnC","9HNa5Wba9A","8w2t5hMYqp","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3104","layer":4},{"info":"number node, value=1856","layer":4},{"info":"compute binary expreesion, left_input=3104, right_input=1856, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6084","layer":3},{"info":"compute unary expreesion, input=6084, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-894348","layer":2},{"info":"number node, value=3938","layer":4},{"info":"compute unary expreesion, input=3938, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=4270","layer":4},{"info":"number node, value=1469","layer":4},{"info":"compute binary expreesion, left_input=4270, right_input=1469, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1332","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=1332, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-1332","layer":2},{"info":"compute binary expreesion, left_input=-894348, right_input=-1332, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=5916","layer":4},{"info":"number node, value=3215","layer":4},{"info":"compute binary expreesion, left_input=5916, right_input=3215, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2711","layer":3},{"info":"number node, value=7022","layer":4},{"info":"number node, value=1010","layer":4},{"info":"compute binary expreesion, left_input=7022, right_input=1010, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-5002","layer":3},{"info":"compute binary expreesion, left_input=2711, right_input=-5002, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1528","layer":4},{"info":"number node, value=4015","layer":4},{"info":"compute binary expreesion, left_input=1528, right_input=4015, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=8383","layer":4},{"info":"number node, value=1392","layer":4},{"info":"compute binary expreesion, left_input=8383, right_input=1392, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=8383","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=8383, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = 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 = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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":10,"result_base":10,"text":"(⪝⪂⫅⊺⇮3104⪘⫢⊺⇮1856)↬((⊙↵-⊺⇮3938)*⊺⇮4270⪛⊺⇮1469)⨐⩸⫘((⊺⇮5916⨰⊺⇮3215)⨟⋌⩍(⊺⇮7022⋷⊺⇮1010)⊭↱(⊺⇮1528∲⫓⊺⇮4015)⨟⋌⩍(⊺⇮8383⋝⋈⪟⊺⇮1392))=NaN","reverse_text":"NaN=(⪝⪂⫅⊺⇮3104⪘⫢⊺⇮1856)↬((⊙↵-⊺⇮3938)*⊺⇮4270⪛⊺⇮1469)⨐⩸⫘((⊺⇮5916⨰⊺⇮3215)⨟⋌⩍(⊺⇮7022⋷⊺⇮1010)⊭↱(⊺⇮1528∲⫓⊺⇮4015)⨟⋌⩍(⊺⇮8383⋝⋈⪟⊺⇮1392))","cot":[{"info":"⊺⇮3104⪘⫢⊺⇮1856=⊺⇮6084","layer":3},{"info":"⪝⪂⫅⊺⇮6084=⊺⇮-894348","layer":2},{"info":"⊙↵-⊺⇮3938=⊺⇮-1","layer":3},{"info":"⊺⇮4270⪛⊺⇮1469=⊺⇮1332","layer":3},{"info":"⊺⇮-1*⊺⇮1332=⊺⇮-1332","layer":2},{"info":"⊺⇮-894348↬⊺⇮-1332=NaN","layer":1},{"info":"⊺⇮5916⨰⊺⇮3215=⊺⇮2711","layer":3},{"info":"⊺⇮7022⋷⊺⇮1010=⊺⇮-5002","layer":3},{"info":"⊺⇮2711⨟⋌⩍⊺⇮-5002=NaN","layer":2},{"info":"⊺⇮1528∲⫓⊺⇮4015=⊺⇮0","layer":3},{"info":"⊺⇮8383⋝⋈⪟⊺⇮1392=⊺⇮8383","layer":3},{"info":"⊺⇮0⨟⋌⩍⊺⇮8383=NaN","layer":2},{"info":"NaN⊭↱NaN=NaN","layer":1},{"info":"NaN⨐⩸⫘NaN=NaN","layer":0}]}
{"id":638,"expression_no_base_symbol":"(($4826$⊭∹↮)⋝⋈⪟($2396$⨳⩥⨓$2865$)≭(($3001$∲⫓$2992$)∲⫓$1599$∼$5545$))⋝⋈⪟(($2857$⨐⩸⫘$2237$⫡⨏($2986$/$1606$))⨸⪁(($1959$⩠)⇼⇔∾$5638$↙$4825$))","expression":"((⊺⇮4826⊭∹↮)⋝⋈⪟(⊺⇮2396⨳⩥⨓⊺⇮2865)≭((⊺⇮3001∲⫓⊺⇮2992)∲⫓⊺⇮1599∼⊺⇮5545))⋝⋈⪟((⊺⇮2857⨐⩸⫘⊺⇮2237⫡⨏(⊺⇮2986/⊺⇮1606))⨸⪁((⊺⇮1959⩠)⇼⇔∾⊺⇮5638↙⊺⇮4825))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4913,"operation_count":15,"complexity_ratio":327.53333333333336,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":4826,"base":10}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2396,"base":10},"right_expr":{"type":"numeric_atoms","value":2865,"base":10}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3001,"base":10},"right_expr":{"type":"numeric_atoms","value":2992,"base":10}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1599,"base":10},"right_expr":{"type":"numeric_atoms","value":5545,"base":10}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2857,"base":10},"right_expr":{"type":"numeric_atoms","value":2237,"base":10}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2986,"base":10},"right_expr":{"type":"numeric_atoms","value":1606,"base":10}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1959,"base":10}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":5638,"base":10},"right_expr":{"type":"numeric_atoms","value":4825,"base":10}}}}},"used_operators":["2DDjHMKMc0","rxpJgHHUmx","xNBdhnnwKq","nCS4ZIUYfx","i8ToyICDmI","DyGG3AbaNP","g55IO6H4Gj","QMFrweE19q","fu6greOZ01","XhwjNDsVaA","tifHPKVTfV","sJAwomhLZr","yyfyN0ffXY"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4826","layer":4},{"info":"compute unary expreesion, input=4826, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=9652","layer":3},{"info":"number node, value=2396","layer":4},{"info":"number node, value=2865","layer":4},{"info":"compute binary expreesion, left_input=2396, right_input=2865, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=469","layer":3},{"info":"compute binary expreesion, left_input=9652, right_input=469, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=9652","layer":2},{"info":"number node, value=3001","layer":4},{"info":"number node, value=2992","layer":4},{"info":"compute binary expreesion, left_input=3001, right_input=2992, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1599","layer":4},{"info":"number node, value=5545","layer":4},{"info":"compute binary expreesion, left_input=1599, right_input=5545, 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 = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=9652, 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=2857","layer":4},{"info":"number node, value=2237","layer":4},{"info":"compute binary expreesion, left_input=2857, right_input=2237, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=2986","layer":4},{"info":"number node, value=1606","layer":4},{"info":"compute binary expreesion, left_input=2986, right_input=1606, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=nan, 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=nan","layer":2},{"info":"number node, value=1959","layer":4},{"info":"compute unary expreesion, input=1959, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=5638","layer":4},{"info":"number node, value=4825","layer":4},{"info":"compute binary expreesion, left_input=5638, right_input=4825, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-14475","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-14475, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-14475","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-14475, 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 = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮4826⊭∹↮)⋝⋈⪟(⊺⇮2396⨳⩥⨓⊺⇮2865)≭((⊺⇮3001∲⫓⊺⇮2992)∲⫓⊺⇮1599∼⊺⇮5545))⋝⋈⪟((⊺⇮2857⨐⩸⫘⊺⇮2237⫡⨏(⊺⇮2986/⊺⇮1606))⨸⪁((⊺⇮1959⩠)⇼⇔∾⊺⇮5638↙⊺⇮4825))=NaN","reverse_text":"NaN=((⊺⇮4826⊭∹↮)⋝⋈⪟(⊺⇮2396⨳⩥⨓⊺⇮2865)≭((⊺⇮3001∲⫓⊺⇮2992)∲⫓⊺⇮1599∼⊺⇮5545))⋝⋈⪟((⊺⇮2857⨐⩸⫘⊺⇮2237⫡⨏(⊺⇮2986/⊺⇮1606))⨸⪁((⊺⇮1959⩠)⇼⇔∾⊺⇮5638↙⊺⇮4825))","cot":[{"info":"⊺⇮4826⊭∹↮=⊺⇮9652","layer":3},{"info":"⊺⇮2396⨳⩥⨓⊺⇮2865=⊺⇮469","layer":3},{"info":"⊺⇮9652⋝⋈⪟⊺⇮469=⊺⇮9652","layer":2},{"info":"⊺⇮3001∲⫓⊺⇮2992=⊺⇮0","layer":3},{"info":"⊺⇮1599∼⊺⇮5545=NaN","layer":3},{"info":"⊺⇮0∲⫓NaN=NaN","layer":2},{"info":"⊺⇮9652≭NaN=NaN","layer":1},{"info":"⊺⇮2857⨐⩸⫘⊺⇮2237=NaN","layer":3},{"info":"⊺⇮2986/⊺⇮1606=⊺⇮1","layer":3},{"info":"NaN⫡⨏⊺⇮1=NaN","layer":2},{"info":"⊺⇮1959⩠=⊺⇮0","layer":3},{"info":"⊺⇮5638↙⊺⇮4825=⊺⇮-14475","layer":3},{"info":"⊺⇮0⇼⇔∾⊺⇮-14475=⊺⇮-14475","layer":2},{"info":"NaN⨸⪁⊺⇮-14475=NaN","layer":1},{"info":"NaN⋝⋈⪟NaN=NaN","layer":0}]}
{"id":639,"expression_no_base_symbol":"(($2214$⨐⩸⫘$4470$)≎⊠⪸$9086$↬$1838$∲⫓($2485$⇼⇔∾$1548$)⫸⊐(↯⪼$2439$))⋳⪒((($4839$%$3014$)⇼⇔∾($2084$⋷$4440$))⊪)","expression":"((⊺⇮2214⨐⩸⫘⊺⇮4470)≎⊠⪸⊺⇮9086↬⊺⇮1838∲⫓(⊺⇮2485⇼⇔∾⊺⇮1548)⫸⊐(↯⪼⊺⇮2439))⋳⪒(((⊺⇮4839%⊺⇮3014)⇼⇔∾(⊺⇮2084⋷⊺⇮4440))⊪)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":98,"operation_count":12,"complexity_ratio":8.166666666666666,"tree":{"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":10},"right_expr":{"type":"numeric_atoms","value":4470,"base":10}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":9086,"base":10},"right_expr":{"type":"numeric_atoms","value":1838,"base":10}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2485,"base":10},"right_expr":{"type":"numeric_atoms","value":1548,"base":10}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2439,"base":10}}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4839,"base":10},"right_expr":{"type":"numeric_atoms","value":3014,"base":10}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2084,"base":10},"right_expr":{"type":"numeric_atoms","value":4440,"base":10}}}}},"used_operators":["12rbrZMWeM","i8ToyICDmI","bJkvcejdHO","fu6greOZ01","B5M0gjZbta","mqXw5SEYmG","tifHPKVTfV","8jW3W4yZS5","zVYPLywUTj","k8jYdgA6NY","23Mk6UjR3U"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","3ViojmjbAp","rGHVDoGpnC","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮-287","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2214","layer":4},{"info":"number node, value=4470","layer":4},{"info":"compute binary expreesion, left_input=2214, right_input=4470, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=9086","layer":4},{"info":"number node, value=1838","layer":4},{"info":"compute binary expreesion, left_input=9086, right_input=1838, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":2},{"info":"number node, value=2485","layer":4},{"info":"number node, value=1548","layer":4},{"info":"compute binary expreesion, left_input=2485, right_input=1548, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-937","layer":3},{"info":"number node, value=2439","layer":4},{"info":"compute unary expreesion, input=2439, 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=-937, right_input=-21, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=968, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=4839","layer":4},{"info":"number node, value=3014","layer":4},{"info":"compute binary expreesion, left_input=4839, right_input=3014, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1825","layer":3},{"info":"number node, value=2084","layer":4},{"info":"number node, value=4440","layer":4},{"info":"compute binary expreesion, left_input=2084, right_input=4440, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=6796","layer":3},{"info":"compute binary expreesion, left_input=1825, right_input=6796, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=4971","layer":2},{"info":"compute unary expreesion, input=4971, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-287","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮2214⨐⩸⫘⊺⇮4470)≎⊠⪸⊺⇮9086↬⊺⇮1838∲⫓(⊺⇮2485⇼⇔∾⊺⇮1548)⫸⊐(↯⪼⊺⇮2439))⋳⪒(((⊺⇮4839%⊺⇮3014)⇼⇔∾(⊺⇮2084⋷⊺⇮4440))⊪)=⊺⇮-287","reverse_text":"⊺⇮-287=((⊺⇮2214⨐⩸⫘⊺⇮4470)≎⊠⪸⊺⇮9086↬⊺⇮1838∲⫓(⊺⇮2485⇼⇔∾⊺⇮1548)⫸⊐(↯⪼⊺⇮2439))⋳⪒(((⊺⇮4839%⊺⇮3014)⇼⇔∾(⊺⇮2084⋷⊺⇮4440))⊪)","cot":[{"info":"⊺⇮2214⨐⩸⫘⊺⇮4470=NaN","layer":3},{"info":"⊺⇮9086↬⊺⇮1838=NaN","layer":3},{"info":"NaN≎⊠⪸NaN=⊺⇮67","layer":2},{"info":"⊺⇮2485⇼⇔∾⊺⇮1548=⊺⇮-937","layer":3},{"info":"↯⪼⊺⇮2439=⊺⇮-21","layer":3},{"info":"⊺⇮-937⫸⊐⊺⇮-21=⊺⇮968","layer":2},{"info":"⊺⇮67∲⫓⊺⇮968=⊺⇮0","layer":1},{"info":"⊺⇮4839%⊺⇮3014=⊺⇮1825","layer":3},{"info":"⊺⇮2084⋷⊺⇮4440=⊺⇮6796","layer":3},{"info":"⊺⇮1825⇼⇔∾⊺⇮6796=⊺⇮4971","layer":2},{"info":"⊺⇮4971⊪=⊺⇮0","layer":1},{"info":"⊺⇮0⋳⪒⊺⇮0=⊺⇮-287","layer":0}]}
{"id":640,"expression_no_base_symbol":"(($1174$⨐⩸⫘$1125$∲⫓$4244$*$4918$)-(⨈⫕$1306$⨽$2333$))↙(⊙↵-($3855$⊘))⋝⋈⪟($5683$⪠⩆⊳)⨟⋌⩍($3564$+⇶⊼$3366$)","expression":"((⊺⇮1174⨐⩸⫘⊺⇮1125∲⫓⊺⇮4244*⊺⇮4918)-(⨈⫕⊺⇮1306⨽⊺⇮2333))↙(⊙↵-(⊺⇮3855⊘))⋝⋈⪟(⊺⇮5683⪠⩆⊳)⨟⋌⩍(⊺⇮3564+⇶⊼⊺⇮3366)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6007,"operation_count":13,"complexity_ratio":462.0769230769231,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1174,"base":10},"right_expr":{"type":"numeric_atoms","value":1125,"base":10}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4244,"base":10},"right_expr":{"type":"numeric_atoms","value":4918,"base":10}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1306,"base":10},"right_expr":{"type":"numeric_atoms","value":2333,"base":10}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":3855,"base":10}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":5683,"base":10}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3564,"base":10},"right_expr":{"type":"numeric_atoms","value":3366,"base":10}}}}},"used_operators":["yyfyN0ffXY","rysDP5nf3Z","i8ToyICDmI","fu6greOZ01","9HNa5Wba9A","megm06wKyl","8HhzD0ZcuI","2DDjHMKMc0","oWn0xqSxBt","gu96TGCTMs","rGHVDoGpnC","JLbD19bQDL","TpPTUOHfaN"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","W4YGzv6Whe","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr"],"result":"⊺⇮21","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1174","layer":4},{"info":"number node, value=1125","layer":4},{"info":"compute binary expreesion, left_input=1174, right_input=1125, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=4244","layer":4},{"info":"number node, value=4918","layer":4},{"info":"compute binary expreesion, left_input=4244, right_input=4918, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=20871992","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=20871992, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=1306","layer":4},{"info":"number node, value=2333","layer":4},{"info":"compute binary expreesion, left_input=1306, right_input=2333, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-5122593","layer":3},{"info":"compute unary expreesion, input=-5122593, 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=0, right_input=-21, op_id = rysDP5nf3Z binary_op_definition= 'None', output=21","layer":1},{"info":"number node, value=3855","layer":4},{"info":"compute unary expreesion, input=3855, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":2},{"info":"number node, value=5683","layer":4},{"info":"compute unary expreesion, input=5683, 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=3564","layer":4},{"info":"number node, value=3366","layer":4},{"info":"compute binary expreesion, left_input=3564, right_input=3366, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"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":0}],"base":10,"result_base":10,"text":"((⊺⇮1174⨐⩸⫘⊺⇮1125∲⫓⊺⇮4244*⊺⇮4918)-(⨈⫕⊺⇮1306⨽⊺⇮2333))↙(⊙↵-(⊺⇮3855⊘))⋝⋈⪟(⊺⇮5683⪠⩆⊳)⨟⋌⩍(⊺⇮3564+⇶⊼⊺⇮3366)=⊺⇮21","reverse_text":"⊺⇮21=((⊺⇮1174⨐⩸⫘⊺⇮1125∲⫓⊺⇮4244*⊺⇮4918)-(⨈⫕⊺⇮1306⨽⊺⇮2333))↙(⊙↵-(⊺⇮3855⊘))⋝⋈⪟(⊺⇮5683⪠⩆⊳)⨟⋌⩍(⊺⇮3564+⇶⊼⊺⇮3366)","cot":[{"info":"⊺⇮1174⨐⩸⫘⊺⇮1125=NaN","layer":3},{"info":"⊺⇮4244*⊺⇮4918=⊺⇮20871992","layer":3},{"info":"NaN∲⫓⊺⇮20871992=⊺⇮0","layer":2},{"info":"⊺⇮1306⨽⊺⇮2333=⊺⇮-5122593","layer":3},{"info":"⨈⫕⊺⇮-5122593=⊺⇮-21","layer":2},{"info":"⊺⇮0-⊺⇮-21=⊺⇮21","layer":1},{"info":"⊺⇮3855⊘=⊺⇮0","layer":3},{"info":"⊙↵-⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮5683⪠⩆⊳=⊺⇮0","layer":3},{"info":"⊺⇮3564+⇶⊼⊺⇮3366=NaN","layer":3},{"info":"⊺⇮0⨟⋌⩍NaN=NaN","layer":2},{"info":"⊺⇮0⋝⋈⪟NaN=NaN","layer":1},{"info":"⊺⇮21↙NaN=⊺⇮21","layer":0}]}
{"id":641,"expression_no_base_symbol":"⇁⨣⪵(($2119$∀⇚≩$2337$)⊴($1549$≎⊠⪸$1022$))⊴($8169$⩷∴$1931$⫥∨⫟$1830$↬$4370$)","expression":"⇁⨣⪵((⊺⇮2119∀⇚≩⊺⇮2337)⊴(⊺⇮1549≎⊠⪸⊺⇮1022))⊴(⊺⇮8169⩷∴⊺⇮1931⫥∨⫟⊺⇮1830↬⊺⇮4370)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":415996,"operation_count":8,"complexity_ratio":51999.5,"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":2119,"base":10},"right_expr":{"type":"numeric_atoms","value":2337,"base":10}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1549,"base":10},"right_expr":{"type":"numeric_atoms","value":1022,"base":10}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":8169,"base":10},"right_expr":{"type":"numeric_atoms","value":1931,"base":10}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1830,"base":10},"right_expr":{"type":"numeric_atoms","value":4370,"base":10}}}}},"used_operators":["inkyxCbjAn","Nsiff2A1zJ","LRNGc0VcxI","bJkvcejdHO","KYD54nUTWz","9FxExcQeMw","B5M0gjZbta"],"dependent_operators":["B5M0gjZbta","dWAJyo7jo9","14qkJME0vr","X99M06cbEe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2119","layer":4},{"info":"number node, value=2337","layer":4},{"info":"compute binary expreesion, left_input=2119, right_input=2337, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1549","layer":4},{"info":"number node, value=1022","layer":4},{"info":"compute binary expreesion, left_input=1549, right_input=1022, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=400718","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=400718, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=8169","layer":4},{"info":"number node, value=1931","layer":4},{"info":"compute binary expreesion, left_input=8169, right_input=1931, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=12444","layer":3},{"info":"number node, value=1830","layer":4},{"info":"number node, value=4370","layer":4},{"info":"compute binary expreesion, left_input=1830, right_input=4370, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=12444, 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 = 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":10,"result_base":10,"text":"⇁⨣⪵((⊺⇮2119∀⇚≩⊺⇮2337)⊴(⊺⇮1549≎⊠⪸⊺⇮1022))⊴(⊺⇮8169⩷∴⊺⇮1931⫥∨⫟⊺⇮1830↬⊺⇮4370)=NaN","reverse_text":"NaN=⇁⨣⪵((⊺⇮2119∀⇚≩⊺⇮2337)⊴(⊺⇮1549≎⊠⪸⊺⇮1022))⊴(⊺⇮8169⩷∴⊺⇮1931⫥∨⫟⊺⇮1830↬⊺⇮4370)","cot":[{"info":"⊺⇮2119∀⇚≩⊺⇮2337=NaN","layer":3},{"info":"⊺⇮1549≎⊠⪸⊺⇮1022=⊺⇮400718","layer":3},{"info":"NaN⊴⊺⇮400718=NaN","layer":2},{"info":"⊺⇮8169⩷∴⊺⇮1931=⊺⇮12444","layer":3},{"info":"⊺⇮1830↬⊺⇮4370=NaN","layer":3},{"info":"⊺⇮12444⫥∨⫟NaN=NaN","layer":2},{"info":"NaN⊴NaN=NaN","layer":1},{"info":"⇁⨣⪵NaN=NaN","layer":0}]}
{"id":642,"expression_no_base_symbol":"(↔(($3288$∧)∀⇚≩(⇁⨣⪵$2274$)))∲⫓(↽≂$4197$⩚⊴⇥$3387$)⨐⩸⫘($1344$⩨$2017$)≹⇙⪍(↽≂$1237$)","expression":"(↔((⊺⇮3288∧)∀⇚≩(⇁⨣⪵⊺⇮2274)))∲⫓(↽≂⊺⇮4197⩚⊴⇥⊺⇮3387)⨐⩸⫘(⊺⇮1344⩨⊺⇮2017)≹⇙⪍(↽≂⊺⇮1237)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":47,"operation_count":11,"complexity_ratio":4.2727272727272725,"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":3288,"base":10}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2274,"base":10}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4197,"base":10},"right_expr":{"type":"numeric_atoms","value":3387,"base":10}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1344,"base":10},"right_expr":{"type":"numeric_atoms","value":2017,"base":10}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1237,"base":10}}}}},"used_operators":["i8ToyICDmI","ruOEQAzv1W","LRNGc0VcxI","z63VuFQld9","inkyxCbjAn","fu6greOZ01","u6S6b8DprG","NTOWxs364D","AHs5Up7iyr","2DlMacCsIx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","X99M06cbEe","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","B5M0gjZbta","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3288","layer":4},{"info":"compute unary expreesion, input=3288, 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=2274","layer":4},{"info":"compute unary expreesion, input=2274, 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 = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":1},{"info":"number node, value=4197","layer":4},{"info":"number node, value=3387","layer":4},{"info":"compute binary expreesion, left_input=4197, right_input=3387, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7705","layer":3},{"info":"compute unary expreesion, input=-7705, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=15410","layer":2},{"info":"number node, value=1344","layer":4},{"info":"number node, value=2017","layer":4},{"info":"compute binary expreesion, left_input=1344, right_input=2017, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=1237","layer":4},{"info":"compute unary expreesion, input=1237, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2474","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=-2474, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=15410, 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=-134, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(↔((⊺⇮3288∧)∀⇚≩(⇁⨣⪵⊺⇮2274)))∲⫓(↽≂⊺⇮4197⩚⊴⇥⊺⇮3387)⨐⩸⫘(⊺⇮1344⩨⊺⇮2017)≹⇙⪍(↽≂⊺⇮1237)=NaN","reverse_text":"NaN=(↔((⊺⇮3288∧)∀⇚≩(⇁⨣⪵⊺⇮2274)))∲⫓(↽≂⊺⇮4197⩚⊴⇥⊺⇮3387)⨐⩸⫘(⊺⇮1344⩨⊺⇮2017)≹⇙⪍(↽≂⊺⇮1237)","cot":[{"info":"⊺⇮3288∧=NaN","layer":3},{"info":"⇁⨣⪵⊺⇮2274=NaN","layer":3},{"info":"NaN∀⇚≩NaN=NaN","layer":2},{"info":"↔NaN=⊺⇮-134","layer":1},{"info":"⊺⇮4197⩚⊴⇥⊺⇮3387=⊺⇮-7705","layer":3},{"info":"↽≂⊺⇮-7705=⊺⇮15410","layer":2},{"info":"⊺⇮1344⩨⊺⇮2017=⊺⇮-3","layer":3},{"info":"↽≂⊺⇮1237=⊺⇮-2474","layer":3},{"info":"⊺⇮-3≹⇙⪍⊺⇮-2474=NaN","layer":2},{"info":"⊺⇮15410⨐⩸⫘NaN=NaN","layer":1},{"info":"⊺⇮-134∲⫓NaN=NaN","layer":0}]}
{"id":643,"expression_no_base_symbol":"($2376$⨐⩸⫘$9107$)∼($1779$⨰$4050$)≎⊠⪸(↯⪼($6952$↺$2794$))↙(≤/($6972$⨓$3179$≦≮≮))","expression":"(⊺⇮2376⨐⩸⫘⊺⇮9107)∼(⊺⇮1779⨰⊺⇮4050)≎⊠⪸(↯⪼(⊺⇮6952↺⊺⇮2794))↙(≤/(⊺⇮6972⨓⊺⇮3179≦≮≮))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3245,"operation_count":10,"complexity_ratio":324.5,"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":2376,"base":10},"right_expr":{"type":"numeric_atoms","value":9107,"base":10}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1779,"base":10},"right_expr":{"type":"numeric_atoms","value":4050,"base":10}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":6952,"base":10},"right_expr":{"type":"numeric_atoms","value":2794,"base":10}}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":6972,"base":10},"right_expr":{"type":"numeric_atoms","value":3179,"base":10}}}}},"used_operators":["yyfyN0ffXY","bJkvcejdHO","DyGG3AbaNP","fu6greOZ01","eewbuw0ToL","8jW3W4yZS5","7j4O788W3g","eLAdDNolq6","D4vGDi5EA2","3ViojmjbAp"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2376","layer":4},{"info":"number node, value=9107","layer":4},{"info":"compute binary expreesion, left_input=2376, right_input=9107, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=1779","layer":4},{"info":"number node, value=4050","layer":4},{"info":"compute binary expreesion, left_input=1779, right_input=4050, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2261","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2261, 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=6952","layer":4},{"info":"number node, value=2794","layer":4},{"info":"compute binary expreesion, left_input=6952, right_input=2794, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2794","layer":3},{"info":"compute unary expreesion, input=2794, 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 = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":1},{"info":"number node, value=6972","layer":4},{"info":"number node, value=3179","layer":4},{"info":"compute binary expreesion, left_input=6972, right_input=3179, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3182","layer":3},{"info":"compute unary expreesion, input=-3182, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=9546","layer":2},{"info":"compute unary expreesion, input=9546, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-9062","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-9062, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮2376⨐⩸⫘⊺⇮9107)∼(⊺⇮1779⨰⊺⇮4050)≎⊠⪸(↯⪼(⊺⇮6952↺⊺⇮2794))↙(≤/(⊺⇮6972⨓⊺⇮3179≦≮≮))=NaN","reverse_text":"NaN=(⊺⇮2376⨐⩸⫘⊺⇮9107)∼(⊺⇮1779⨰⊺⇮4050)≎⊠⪸(↯⪼(⊺⇮6952↺⊺⇮2794))↙(≤/(⊺⇮6972⨓⊺⇮3179≦≮≮))","cot":[{"info":"⊺⇮2376⨐⩸⫘⊺⇮9107=NaN","layer":3},{"info":"⊺⇮1779⨰⊺⇮4050=⊺⇮-2261","layer":3},{"info":"NaN∼⊺⇮-2261=NaN","layer":2},{"info":"⊺⇮6952↺⊺⇮2794=⊺⇮2794","layer":3},{"info":"↯⪼⊺⇮2794=⊺⇮-21","layer":2},{"info":"NaN≎⊠⪸⊺⇮-21=NaN","layer":1},{"info":"⊺⇮6972⨓⊺⇮3179=⊺⇮-3182","layer":3},{"info":"⊺⇮-3182≦≮≮=⊺⇮9546","layer":2},{"info":"≤/⊺⇮9546=⊺⇮-9062","layer":1},{"info":"NaN↙⊺⇮-9062=NaN","layer":0}]}
{"id":644,"expression_no_base_symbol":"($2028$≎⊠⪸$3371$⩨(∂$1684$))∑⇟⊟($1001$⪨≂$1460$+(⊄⩳↩$3700$))≎⊠⪸((∥⊫$2339$)⪮%⊝(∥⊫$4571$))⪢((⊥$7756$)∑⇟⊟$2262$∼$1316$)","expression":"(⊺⇮2028≎⊠⪸⊺⇮3371⩨(∂⊺⇮1684))∑⇟⊟(⊺⇮1001⪨≂⊺⇮1460+(⊄⩳↩⊺⇮3700))≎⊠⪸((∥⊫⊺⇮2339)⪮%⊝(∥⊫⊺⇮4571))⪢((⊥⊺⇮7756)∑⇟⊟⊺⇮2262∼⊺⇮1316)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":362,"operation_count":15,"complexity_ratio":24.133333333333333,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2028,"base":10},"right_expr":{"type":"numeric_atoms","value":3371,"base":10}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1684,"base":10}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1001,"base":10},"right_expr":{"type":"numeric_atoms","value":1460,"base":10}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":3700,"base":10}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":2339,"base":10}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":4571,"base":10}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":7756,"base":10}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2262,"base":10},"right_expr":{"type":"numeric_atoms","value":1316,"base":10}}}}},"used_operators":["bJkvcejdHO","U7g4x0WXJJ","2DlMacCsIx","Uaa54Peajs","W4YGzv6Whe","sdazOOVcIp","8w2t5hMYqp","dWAJyo7jo9","IWmyXbctLI","P8v4zCKN1o","Q3PJZHRvZv","DyGG3AbaNP"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"⊺⇮67","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2028","layer":4},{"info":"number node, value=3371","layer":4},{"info":"compute binary expreesion, left_input=2028, right_input=3371, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=524779","layer":3},{"info":"number node, value=1684","layer":4},{"info":"compute unary expreesion, input=1684, 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=524779, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"number node, value=1001","layer":4},{"info":"number node, value=1460","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=1460, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-816","layer":3},{"info":"number node, value=3700","layer":4},{"info":"compute unary expreesion, input=3700, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-11100","layer":3},{"info":"compute binary expreesion, left_input=-816, right_input=-11100, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-11916","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-11916, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=2339","layer":4},{"info":"compute unary expreesion, input=2339, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3207","layer":3},{"info":"number node, value=4571","layer":4},{"info":"compute unary expreesion, input=4571, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=5439","layer":3},{"info":"compute binary expreesion, left_input=3207, right_input=5439, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6730","layer":2},{"info":"number node, value=7756","layer":4},{"info":"compute unary expreesion, input=7756, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=2262","layer":4},{"info":"number node, value=1316","layer":4},{"info":"compute binary expreesion, left_input=2262, right_input=1316, 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 = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=6730, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮2028≎⊠⪸⊺⇮3371⩨(∂⊺⇮1684))∑⇟⊟(⊺⇮1001⪨≂⊺⇮1460+(⊄⩳↩⊺⇮3700))≎⊠⪸((∥⊫⊺⇮2339)⪮%⊝(∥⊫⊺⇮4571))⪢((⊥⊺⇮7756)∑⇟⊟⊺⇮2262∼⊺⇮1316)=⊺⇮67","reverse_text":"⊺⇮67=(⊺⇮2028≎⊠⪸⊺⇮3371⩨(∂⊺⇮1684))∑⇟⊟(⊺⇮1001⪨≂⊺⇮1460+(⊄⩳↩⊺⇮3700))≎⊠⪸((∥⊫⊺⇮2339)⪮%⊝(∥⊫⊺⇮4571))⪢((⊥⊺⇮7756)∑⇟⊟⊺⇮2262∼⊺⇮1316)","cot":[{"info":"⊺⇮2028≎⊠⪸⊺⇮3371=⊺⇮524779","layer":3},{"info":"∂⊺⇮1684=NaN","layer":3},{"info":"⊺⇮524779⩨NaN=NaN","layer":2},{"info":"⊺⇮1001⪨≂⊺⇮1460=⊺⇮-816","layer":3},{"info":"⊄⩳↩⊺⇮3700=⊺⇮-11100","layer":3},{"info":"⊺⇮-816+⊺⇮-11100=⊺⇮-11916","layer":2},{"info":"NaN∑⇟⊟⊺⇮-11916=NaN","layer":1},{"info":"∥⊫⊺⇮2339=⊺⇮3207","layer":3},{"info":"∥⊫⊺⇮4571=⊺⇮5439","layer":3},{"info":"⊺⇮3207⪮%⊝⊺⇮5439=⊺⇮6730","layer":2},{"info":"⊥⊺⇮7756=NaN","layer":3},{"info":"⊺⇮2262∼⊺⇮1316=NaN","layer":3},{"info":"NaN∑⇟⊟NaN=NaN","layer":2},{"info":"⊺⇮6730⪢NaN=NaN","layer":1},{"info":"NaN≎⊠⪸NaN=⊺⇮67","layer":0}]}
{"id":645,"expression_no_base_symbol":"⇁⨣⪵(⫓⪴($3756$/$4834$))⪮%⊝($2055$⪛$1873$≭($7075$%$1157$))","expression":"⇁⨣⪵(⫓⪴(⊺⇮3756/⊺⇮4834))⪮%⊝(⊺⇮2055⪛⊺⇮1873≭(⊺⇮7075%⊺⇮1157))","highest_n_order":5,"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":3756,"base":10},"right_expr":{"type":"numeric_atoms","value":4834,"base":10}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2055,"base":10},"right_expr":{"type":"numeric_atoms","value":1873,"base":10}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":7075,"base":10},"right_expr":{"type":"numeric_atoms","value":1157,"base":10}}}}},"used_operators":["inkyxCbjAn","IWmyXbctLI","eLxqMNBOBk","XhwjNDsVaA","rxpJgHHUmx","uFcxV4UQCh","k8jYdgA6NY"],"dependent_operators":["B5M0gjZbta","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","9HNa5Wba9A","rysDP5nf3Z","AHs5Up7iyr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=3756","layer":4},{"info":"number node, value=4834","layer":4},{"info":"compute binary expreesion, left_input=3756, right_input=4834, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=0","layer":2},{"info":"number node, value=2055","layer":4},{"info":"number node, value=1873","layer":4},{"info":"compute binary expreesion, left_input=2055, right_input=1873, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=182","layer":3},{"info":"number node, value=7075","layer":4},{"info":"number node, value=1157","layer":4},{"info":"compute binary expreesion, left_input=7075, right_input=1157, op_id = k8jYdgA6NY binary_op_definition= 'None', output=133","layer":3},{"info":"compute binary expreesion, left_input=182, right_input=133, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⇁⨣⪵(⫓⪴(⊺⇮3756/⊺⇮4834))⪮%⊝(⊺⇮2055⪛⊺⇮1873≭(⊺⇮7075%⊺⇮1157))=NaN","reverse_text":"NaN=⇁⨣⪵(⫓⪴(⊺⇮3756/⊺⇮4834))⪮%⊝(⊺⇮2055⪛⊺⇮1873≭(⊺⇮7075%⊺⇮1157))","cot":[{"info":"⊺⇮3756/⊺⇮4834=⊺⇮0","layer":3},{"info":"⫓⪴⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮2055⪛⊺⇮1873=⊺⇮182","layer":3},{"info":"⊺⇮7075%⊺⇮1157=⊺⇮133","layer":3},{"info":"⊺⇮182≭⊺⇮133=NaN","layer":2},{"info":"⊺⇮0⪮%⊝NaN=NaN","layer":1},{"info":"⇁⨣⪵NaN=NaN","layer":0}]}
{"id":646,"expression_no_base_symbol":"($1454$⋳⪒$5611$↛⩡⫤)⊴(($5445$⫸⊐$1487$)⨽$1069$⨟⋌⩍$2942$)⩤","expression":"(⊺⇮1454⋳⪒⊺⇮5611↛⩡⫤)⊴((⊺⇮5445⫸⊐⊺⇮1487)⨽⊺⇮1069⨟⋌⩍⊺⇮2942)⩤","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":14955,"operation_count":7,"complexity_ratio":2136.4285714285716,"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":1454,"base":10},"right_expr":{"type":"numeric_atoms","value":5611,"base":10}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":5445,"base":10},"right_expr":{"type":"numeric_atoms","value":1487,"base":10}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1069,"base":10},"right_expr":{"type":"numeric_atoms","value":2942,"base":10}}}}},"used_operators":["Z2TMIBDE3Q","Nsiff2A1zJ","FU0Cs4j7VP","12rbrZMWeM","8HhzD0ZcuI","mqXw5SEYmG","rGHVDoGpnC"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1454","layer":4},{"info":"number node, value=5611","layer":4},{"info":"compute binary expreesion, left_input=1454, right_input=5611, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-2990","layer":3},{"info":"compute unary expreesion, input=-2990, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=989","layer":2},{"info":"number node, value=5445","layer":4},{"info":"number node, value=1487","layer":4},{"info":"compute binary expreesion, left_input=5445, right_input=1487, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5823","layer":3},{"info":"number node, value=1069","layer":4},{"info":"number node, value=2942","layer":4},{"info":"compute binary expreesion, left_input=1069, right_input=2942, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=5823, 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=989, 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 = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1454⋳⪒⊺⇮5611↛⩡⫤)⊴((⊺⇮5445⫸⊐⊺⇮1487)⨽⊺⇮1069⨟⋌⩍⊺⇮2942)⩤=NaN","reverse_text":"NaN=(⊺⇮1454⋳⪒⊺⇮5611↛⩡⫤)⊴((⊺⇮5445⫸⊐⊺⇮1487)⨽⊺⇮1069⨟⋌⩍⊺⇮2942)⩤","cot":[{"info":"⊺⇮1454⋳⪒⊺⇮5611=⊺⇮-2990","layer":3},{"info":"⊺⇮-2990↛⩡⫤=⊺⇮989","layer":2},{"info":"⊺⇮5445⫸⊐⊺⇮1487=⊺⇮5823","layer":3},{"info":"⊺⇮1069⨟⋌⩍⊺⇮2942=NaN","layer":3},{"info":"⊺⇮5823⨽NaN=NaN","layer":2},{"info":"⊺⇮989⊴NaN=NaN","layer":1},{"info":"NaN⩤=NaN","layer":0}]}
{"id":647,"expression_no_base_symbol":"((($8837$+$1306$)⋳⪒($1640$⨽$4447$))⩚⊴⇥($2596$⇷$4674$)↬($4428$⊉≛↸$1651$))⇷((⨰⫟⨤$1690$)⫡⨏$1728$⩚⊴⇥$1342$⋷($1072$⨁⊸⫻)⪛$9129$⪢$2045$)","expression":"(((⊺⇮8837+⊺⇮1306)⋳⪒(⊺⇮1640⨽⊺⇮4447))⩚⊴⇥(⊺⇮2596⇷⊺⇮4674)↬(⊺⇮4428⊉≛↸⊺⇮1651))⇷((⨰⫟⨤⊺⇮1690)⫡⨏⊺⇮1728⩚⊴⇥⊺⇮1342⋷(⊺⇮1072⨁⊸⫻)⪛⊺⇮9129⪢⊺⇮2045)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":50322,"operation_count":15,"complexity_ratio":3354.8,"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":8837,"base":10},"right_expr":{"type":"numeric_atoms","value":1306,"base":10}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1640,"base":10},"right_expr":{"type":"numeric_atoms","value":4447,"base":10}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2596,"base":10},"right_expr":{"type":"numeric_atoms","value":4674,"base":10}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4428,"base":10},"right_expr":{"type":"numeric_atoms","value":1651,"base":10}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1690,"base":10}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1728,"base":10},"right_expr":{"type":"numeric_atoms","value":1342,"base":10}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1072,"base":10}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":9129,"base":10},"right_expr":{"type":"numeric_atoms","value":2045,"base":10}}}}},"used_operators":["mp7IySMOzn","NTOWxs364D","12rbrZMWeM","W4YGzv6Whe","8HhzD0ZcuI","B5M0gjZbta","DZ8iAZOCBD","23Mk6UjR3U","QMFrweE19q","Tw270M8GLb","uFcxV4UQCh","glklzrTFfD","dWAJyo7jo9"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=8837","layer":4},{"info":"number node, value=1306","layer":4},{"info":"compute binary expreesion, left_input=8837, right_input=1306, op_id = W4YGzv6Whe binary_op_definition= 'None', output=10143","layer":3},{"info":"number node, value=1640","layer":4},{"info":"number node, value=4447","layer":4},{"info":"compute binary expreesion, left_input=1640, right_input=4447, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-8080827","layer":3},{"info":"compute binary expreesion, left_input=10143, right_input=-8080827, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=8100826","layer":2},{"info":"number node, value=2596","layer":4},{"info":"number node, value=4674","layer":4},{"info":"compute binary expreesion, left_input=2596, right_input=4674, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=9348","layer":3},{"info":"number node, value=4428","layer":4},{"info":"number node, value=1651","layer":4},{"info":"compute binary expreesion, left_input=4428, right_input=1651, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=8856","layer":3},{"info":"compute binary expreesion, left_input=9348, right_input=8856, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=8100826, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"number node, value=1690","layer":4},{"info":"compute unary expreesion, input=1690, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=1728","layer":4},{"info":"number node, value=1342","layer":4},{"info":"compute binary expreesion, left_input=1728, right_input=1342, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3191","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3191, op_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=1072","layer":4},{"info":"compute unary expreesion, input=1072, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1072","layer":3},{"info":"number node, value=9129","layer":4},{"info":"number node, value=2045","layer":4},{"info":"compute binary expreesion, left_input=9129, right_input=2045, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1072, 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 = 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 = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮8837+⊺⇮1306)⋳⪒(⊺⇮1640⨽⊺⇮4447))⩚⊴⇥(⊺⇮2596⇷⊺⇮4674)↬(⊺⇮4428⊉≛↸⊺⇮1651))⇷((⨰⫟⨤⊺⇮1690)⫡⨏⊺⇮1728⩚⊴⇥⊺⇮1342⋷(⊺⇮1072⨁⊸⫻)⪛⊺⇮9129⪢⊺⇮2045)=NaN","reverse_text":"NaN=(((⊺⇮8837+⊺⇮1306)⋳⪒(⊺⇮1640⨽⊺⇮4447))⩚⊴⇥(⊺⇮2596⇷⊺⇮4674)↬(⊺⇮4428⊉≛↸⊺⇮1651))⇷((⨰⫟⨤⊺⇮1690)⫡⨏⊺⇮1728⩚⊴⇥⊺⇮1342⋷(⊺⇮1072⨁⊸⫻)⪛⊺⇮9129⪢⊺⇮2045)","cot":[{"info":"⊺⇮8837+⊺⇮1306=⊺⇮10143","layer":3},{"info":"⊺⇮1640⨽⊺⇮4447=⊺⇮-8080827","layer":3},{"info":"⊺⇮10143⋳⪒⊺⇮-8080827=⊺⇮8100826","layer":2},{"info":"⊺⇮2596⇷⊺⇮4674=⊺⇮9348","layer":3},{"info":"⊺⇮4428⊉≛↸⊺⇮1651=⊺⇮8856","layer":3},{"info":"⊺⇮9348↬⊺⇮8856=NaN","layer":2},{"info":"⊺⇮8100826⩚⊴⇥NaN=NaN","layer":1},{"info":"⨰⫟⨤⊺⇮1690=NaN","layer":3},{"info":"⊺⇮1728⩚⊴⇥⊺⇮1342=⊺⇮-3191","layer":3},{"info":"NaN⫡⨏⊺⇮-3191=NaN","layer":2},{"info":"⊺⇮1072⨁⊸⫻=⊺⇮1072","layer":3},{"info":"⊺⇮9129⪢⊺⇮2045=NaN","layer":3},{"info":"⊺⇮1072⪛NaN=NaN","layer":2},{"info":"NaN⋷NaN=NaN","layer":1},{"info":"NaN⇷NaN=NaN","layer":0}]}
{"id":648,"expression_no_base_symbol":"⪲⇎(($4083$⨸⪁$1495$)⨽$7507$⨎$1863$)⨰($1070$↙$1184$)⊴($1051$⨓$3999$)","expression":"⪲⇎((⊺⇮4083⨸⪁⊺⇮1495)⨽⊺⇮7507⨎⊺⇮1863)⨰(⊺⇮1070↙⊺⇮1184)⊴(⊺⇮1051⨓⊺⇮3999)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":20377,"operation_count":8,"complexity_ratio":2547.125,"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":4083,"base":10},"right_expr":{"type":"numeric_atoms","value":1495,"base":10}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":7507,"base":10},"right_expr":{"type":"numeric_atoms","value":1863,"base":10}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1070,"base":10},"right_expr":{"type":"numeric_atoms","value":1184,"base":10}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1051,"base":10},"right_expr":{"type":"numeric_atoms","value":3999,"base":10}}}}},"used_operators":["XPYlsWDdGa","eewbuw0ToL","8HhzD0ZcuI","g55IO6H4Gj","rJVOvQCfKK","Nsiff2A1zJ","yyfyN0ffXY","3ViojmjbAp"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","14qkJME0vr","tmPS8pqC7x","DpFCA1CohY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4083","layer":4},{"info":"number node, value=1495","layer":4},{"info":"compute binary expreesion, left_input=4083, right_input=1495, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=11156","layer":3},{"info":"number node, value=7507","layer":4},{"info":"number node, value=1863","layer":4},{"info":"compute binary expreesion, left_input=7507, right_input=1863, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1863","layer":3},{"info":"compute binary expreesion, left_input=11156, right_input=1863, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-373373283","layer":2},{"info":"number node, value=1070","layer":4},{"info":"number node, value=1184","layer":4},{"info":"compute binary expreesion, left_input=1070, right_input=1184, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3552","layer":3},{"info":"number node, value=1051","layer":4},{"info":"number node, value=3999","layer":4},{"info":"compute binary expreesion, left_input=1051, right_input=3999, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4002","layer":3},{"info":"compute binary expreesion, left_input=-3552, right_input=-4002, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-373373283, 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 = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⪲⇎((⊺⇮4083⨸⪁⊺⇮1495)⨽⊺⇮7507⨎⊺⇮1863)⨰(⊺⇮1070↙⊺⇮1184)⊴(⊺⇮1051⨓⊺⇮3999)=NaN","reverse_text":"NaN=⪲⇎((⊺⇮4083⨸⪁⊺⇮1495)⨽⊺⇮7507⨎⊺⇮1863)⨰(⊺⇮1070↙⊺⇮1184)⊴(⊺⇮1051⨓⊺⇮3999)","cot":[{"info":"⊺⇮4083⨸⪁⊺⇮1495=⊺⇮11156","layer":3},{"info":"⊺⇮7507⨎⊺⇮1863=⊺⇮1863","layer":3},{"info":"⊺⇮11156⨽⊺⇮1863=⊺⇮-373373283","layer":2},{"info":"⊺⇮1070↙⊺⇮1184=⊺⇮-3552","layer":3},{"info":"⊺⇮1051⨓⊺⇮3999=⊺⇮-4002","layer":3},{"info":"⊺⇮-3552⊴⊺⇮-4002=NaN","layer":2},{"info":"⊺⇮-373373283⨰NaN=NaN","layer":1},{"info":"⪲⇎NaN=NaN","layer":0}]}
{"id":649,"expression_no_base_symbol":"(⩦⩻⨪$5785$)⪢($2596$⊦⊿)↬($1139$⩨$1823$)≹⇙⪍(⨑⩽⪐$3831$)≦≮≮","expression":"(⩦⩻⨪⊺⇮5785)⪢(⊺⇮2596⊦⊿)↬(⊺⇮1139⩨⊺⇮1823)≹⇙⪍(⨑⩽⪐⊺⇮3831)≦≮≮","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":9083,"operation_count":8,"complexity_ratio":1135.375,"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":5785,"base":10}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":2596,"base":10}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1139,"base":10},"right_expr":{"type":"numeric_atoms","value":1823,"base":10}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":3831,"base":10}}}}},"used_operators":["D4vGDi5EA2","B5M0gjZbta","dWAJyo7jo9","2td37pGCOC","14qkJME0vr","AHs5Up7iyr","2DlMacCsIx","AF7qkfDlqP"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5785","layer":4},{"info":"compute unary expreesion, input=5785, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=5785","layer":3},{"info":"number node, value=2596","layer":4},{"info":"compute unary expreesion, input=2596, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-7867","layer":3},{"info":"compute binary expreesion, left_input=5785, right_input=-7867, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1139","layer":4},{"info":"number node, value=1823","layer":4},{"info":"compute binary expreesion, left_input=1139, right_input=1823, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=3831","layer":4},{"info":"compute unary expreesion, input=3831, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-3558","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=-3558, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⩦⩻⨪⊺⇮5785)⪢(⊺⇮2596⊦⊿)↬(⊺⇮1139⩨⊺⇮1823)≹⇙⪍(⨑⩽⪐⊺⇮3831)≦≮≮=NaN","reverse_text":"NaN=(⩦⩻⨪⊺⇮5785)⪢(⊺⇮2596⊦⊿)↬(⊺⇮1139⩨⊺⇮1823)≹⇙⪍(⨑⩽⪐⊺⇮3831)≦≮≮","cot":[{"info":"⩦⩻⨪⊺⇮5785=⊺⇮5785","layer":3},{"info":"⊺⇮2596⊦⊿=⊺⇮-7867","layer":3},{"info":"⊺⇮5785⪢⊺⇮-7867=NaN","layer":2},{"info":"⊺⇮1139⩨⊺⇮1823=⊺⇮-3","layer":3},{"info":"⨑⩽⪐⊺⇮3831=⊺⇮-3558","layer":3},{"info":"⊺⇮-3≹⇙⪍⊺⇮-3558=NaN","layer":2},{"info":"NaN↬NaN=NaN","layer":1},{"info":"NaN≦≮≮=NaN","layer":0}]}
{"id":650,"expression_no_base_symbol":"(↩(↔($1104$⋥≓≎$2184$)))⨐⩸⫘((($2200$⋥≓≎$3913$)⫥∨⫟($1512$≣⋋))≫≃)","expression":"(↩(↔(⊺⇮1104⋥≓≎⊺⇮2184)))⨐⩸⫘(((⊺⇮2200⋥≓≎⊺⇮3913)⫥∨⫟(⊺⇮1512≣⋋))≫≃)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":711,"operation_count":8,"complexity_ratio":88.875,"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":1104,"base":10},"right_expr":{"type":"numeric_atoms","value":2184,"base":10}}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2200,"base":10},"right_expr":{"type":"numeric_atoms","value":3913,"base":10}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":1512,"base":10}}}}},"used_operators":["fu6greOZ01","jLgFTUHLKL","ruOEQAzv1W","Qy55tPpLXF","X99M06cbEe","KYD54nUTWz","Tcnh7f0tEr"],"dependent_operators":["3ViojmjbAp","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1104","layer":4},{"info":"number node, value=2184","layer":4},{"info":"compute binary expreesion, left_input=1104, right_input=2184, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3297","layer":3},{"info":"compute unary expreesion, input=3297, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3024","layer":2},{"info":"compute unary expreesion, input=-3024, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=14716","layer":1},{"info":"number node, value=2200","layer":4},{"info":"number node, value=3913","layer":4},{"info":"compute binary expreesion, left_input=2200, right_input=3913, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=5659","layer":3},{"info":"number node, value=1512","layer":4},{"info":"compute unary expreesion, input=1512, 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=5659, 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 = 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=14716, 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":10,"result_base":10,"text":"(↩(↔(⊺⇮1104⋥≓≎⊺⇮2184)))⨐⩸⫘(((⊺⇮2200⋥≓≎⊺⇮3913)⫥∨⫟(⊺⇮1512≣⋋))≫≃)=NaN","reverse_text":"NaN=(↩(↔(⊺⇮1104⋥≓≎⊺⇮2184)))⨐⩸⫘(((⊺⇮2200⋥≓≎⊺⇮3913)⫥∨⫟(⊺⇮1512≣⋋))≫≃)","cot":[{"info":"⊺⇮1104⋥≓≎⊺⇮2184=⊺⇮3297","layer":3},{"info":"↔⊺⇮3297=⊺⇮-3024","layer":2},{"info":"↩⊺⇮-3024=⊺⇮14716","layer":1},{"info":"⊺⇮2200⋥≓≎⊺⇮3913=⊺⇮5659","layer":3},{"info":"⊺⇮1512≣⋋=⊺⇮0","layer":3},{"info":"⊺⇮5659⫥∨⫟⊺⇮0=NaN","layer":2},{"info":"NaN≫≃=NaN","layer":1},{"info":"⊺⇮14716⨐⩸⫘NaN=NaN","layer":0}]}
{"id":651,"expression_no_base_symbol":"((∂$3791$)⪢($1026$*$7889$)⊭↱(↯⪼($1446$≭$5032$)))≭((∥⊫$4147$)+(↔$1705$))≧⫂∧((≉$1089$)↺($1955$⊠≄⫣))","expression":"((∂⊺⇮3791)⪢(⊺⇮1026*⊺⇮7889)⊭↱(↯⪼(⊺⇮1446≭⊺⇮5032)))≭((∥⊫⊺⇮4147)+(↔⊺⇮1705))≧⫂∧((≉⊺⇮1089)↺(⊺⇮1955⊠≄⫣))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1087,"operation_count":14,"complexity_ratio":77.64285714285714,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":3791,"base":10}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1026,"base":10},"right_expr":{"type":"numeric_atoms","value":7889,"base":10}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1446,"base":10},"right_expr":{"type":"numeric_atoms","value":5032,"base":10}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":4147,"base":10}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1705,"base":10}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1089,"base":10}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1955,"base":10}}}}},"used_operators":["rxpJgHHUmx","COABgblf1C","dWAJyo7jo9","Uaa54Peajs","9HNa5Wba9A","8jW3W4yZS5","Ph9nP6C5qx","W4YGzv6Whe","P8v4zCKN1o","ruOEQAzv1W","7j4O788W3g","e1ybzncUwg","DIvbN7qnHd"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3791","layer":4},{"info":"compute unary expreesion, input=3791, 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=1026","layer":4},{"info":"number node, value=7889","layer":4},{"info":"compute binary expreesion, left_input=1026, right_input=7889, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=8094114","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8094114, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1446","layer":4},{"info":"number node, value=5032","layer":4},{"info":"compute binary expreesion, left_input=1446, right_input=5032, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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 = 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 = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"number node, value=4147","layer":4},{"info":"compute unary expreesion, input=4147, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=5015","layer":3},{"info":"number node, value=1705","layer":4},{"info":"compute unary expreesion, input=1705, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1432","layer":3},{"info":"compute binary expreesion, left_input=5015, right_input=-1432, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3583","layer":2},{"info":"number node, value=1089","layer":4},{"info":"compute unary expreesion, input=1089, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1620","layer":3},{"info":"number node, value=1955","layer":4},{"info":"compute unary expreesion, input=1955, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1620, 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=3583, right_input=0, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-473","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-473, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":10,"result_base":10,"text":"((∂⊺⇮3791)⪢(⊺⇮1026*⊺⇮7889)⊭↱(↯⪼(⊺⇮1446≭⊺⇮5032)))≭((∥⊫⊺⇮4147)+(↔⊺⇮1705))≧⫂∧((≉⊺⇮1089)↺(⊺⇮1955⊠≄⫣))=NaN","reverse_text":"NaN=((∂⊺⇮3791)⪢(⊺⇮1026*⊺⇮7889)⊭↱(↯⪼(⊺⇮1446≭⊺⇮5032)))≭((∥⊫⊺⇮4147)+(↔⊺⇮1705))≧⫂∧((≉⊺⇮1089)↺(⊺⇮1955⊠≄⫣))","cot":[{"info":"∂⊺⇮3791=NaN","layer":3},{"info":"⊺⇮1026*⊺⇮7889=⊺⇮8094114","layer":3},{"info":"NaN⪢⊺⇮8094114=NaN","layer":2},{"info":"⊺⇮1446≭⊺⇮5032=NaN","layer":3},{"info":"↯⪼NaN=⊺⇮-21","layer":2},{"info":"NaN⊭↱⊺⇮-21=NaN","layer":1},{"info":"∥⊫⊺⇮4147=⊺⇮5015","layer":3},{"info":"↔⊺⇮1705=⊺⇮-1432","layer":3},{"info":"⊺⇮5015+⊺⇮-1432=⊺⇮3583","layer":2},{"info":"≉⊺⇮1089=⊺⇮1620","layer":3},{"info":"⊺⇮1955⊠≄⫣=⊺⇮0","layer":3},{"info":"⊺⇮1620↺⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮3583≧⫂∧⊺⇮0=⊺⇮-473","layer":1},{"info":"NaN≭⊺⇮-473=NaN","layer":0}]}
{"id":652,"expression_no_base_symbol":"∥⊫(($3802$⨽$1500$)∸)⪛(($3015$↙$1406$)∸)","expression":"∥⊫((⊺⇮3802⨽⊺⇮1500)∸)⪛((⊺⇮3015↙⊺⇮1406)∸)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":5582,"operation_count":6,"complexity_ratio":930.3333333333334,"tree":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3802,"base":10},"right_expr":{"type":"numeric_atoms","value":1500,"base":10}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3015,"base":10},"right_expr":{"type":"numeric_atoms","value":1406,"base":10}}}}},"used_operators":["P8v4zCKN1o","uFcxV4UQCh","o20kRiQErp","8HhzD0ZcuI","yyfyN0ffXY"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","tmPS8pqC7x","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","tmPS8pqC7x","DpFCA1CohY"],"result":"⊺⇮868","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3802","layer":4},{"info":"number node, value=1500","layer":4},{"info":"compute binary expreesion, left_input=3802, right_input=1500, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-43368798","layer":3},{"info":"compute unary expreesion, input=-43368798, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"number node, value=3015","layer":4},{"info":"number node, value=1406","layer":4},{"info":"compute binary expreesion, left_input=3015, right_input=1406, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4218","layer":3},{"info":"compute unary expreesion, input=-4218, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"compute binary expreesion, left_input=177, right_input=177, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , 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":10,"result_base":10,"text":"∥⊫((⊺⇮3802⨽⊺⇮1500)∸)⪛((⊺⇮3015↙⊺⇮1406)∸)=⊺⇮868","reverse_text":"⊺⇮868=∥⊫((⊺⇮3802⨽⊺⇮1500)∸)⪛((⊺⇮3015↙⊺⇮1406)∸)","cot":[{"info":"⊺⇮3802⨽⊺⇮1500=⊺⇮-43368798","layer":3},{"info":"⊺⇮-43368798∸=⊺⇮177","layer":2},{"info":"⊺⇮3015↙⊺⇮1406=⊺⇮-4218","layer":3},{"info":"⊺⇮-4218∸=⊺⇮177","layer":2},{"info":"⊺⇮177⪛⊺⇮177=⊺⇮0","layer":1},{"info":"∥⊫⊺⇮0=⊺⇮868","layer":0}]}
{"id":653,"expression_no_base_symbol":"((⊙↵-($2866$%$2275$))⋥≓≎($5635$⪄$1894$)⪘⫢($5767$⇼⇔∾$7049$))⪢(((⊥$2539$)⫥∨⫟($1221$⫸⊐$2184$))+⇶⊼((⋗⩬⋾$3331$)⩨($1425$⪒$7720$)))","expression":"((⊙↵-(⊺⇮2866%⊺⇮2275))⋥≓≎(⊺⇮5635⪄⊺⇮1894)⪘⫢(⊺⇮5767⇼⇔∾⊺⇮7049))⪢(((⊥⊺⇮2539)⫥∨⫟(⊺⇮1221⫸⊐⊺⇮2184))+⇶⊼((⋗⩬⋾⊺⇮3331)⩨(⊺⇮1425⪒⊺⇮7720)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":939,"operation_count":14,"complexity_ratio":67.07142857142857,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2866,"base":10},"right_expr":{"type":"numeric_atoms","value":2275,"base":10}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":5635,"base":10},"right_expr":{"type":"numeric_atoms","value":1894,"base":10}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":5767,"base":10},"right_expr":{"type":"numeric_atoms","value":7049,"base":10}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":2539,"base":10}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1221,"base":10},"right_expr":{"type":"numeric_atoms","value":2184,"base":10}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":3331,"base":10}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1425,"base":10},"right_expr":{"type":"numeric_atoms","value":7720,"base":10}}}}},"used_operators":["dWAJyo7jo9","Qy55tPpLXF","oWn0xqSxBt","k8jYdgA6NY","oacrs7FA3X","SUmda5xLS4","tifHPKVTfV","TpPTUOHfaN","KYD54nUTWz","Q3PJZHRvZv","mqXw5SEYmG","2DlMacCsIx","DpFCA1CohY","f6k1SAg4EE"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC","fu6greOZ01","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2866","layer":4},{"info":"number node, value=2275","layer":4},{"info":"compute binary expreesion, left_input=2866, right_input=2275, op_id = k8jYdgA6NY binary_op_definition= 'None', output=591","layer":3},{"info":"compute unary expreesion, input=591, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":2},{"info":"number node, value=5635","layer":4},{"info":"number node, value=1894","layer":4},{"info":"compute binary expreesion, left_input=5635, right_input=1894, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-837645","layer":3},{"info":"number node, value=5767","layer":4},{"info":"number node, value=7049","layer":4},{"info":"compute binary expreesion, left_input=5767, right_input=7049, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1282","layer":3},{"info":"compute binary expreesion, left_input=-837645, right_input=1282, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=-1, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=32","layer":1},{"info":"number node, value=2539","layer":4},{"info":"compute unary expreesion, input=2539, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=1221","layer":4},{"info":"number node, value=2184","layer":4},{"info":"compute binary expreesion, left_input=1221, right_input=2184, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=8611","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8611, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=3331","layer":4},{"info":"compute unary expreesion, input=3331, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-9993","layer":3},{"info":"number node, value=1425","layer":4},{"info":"number node, value=7720","layer":4},{"info":"compute binary expreesion, left_input=1425, right_input=7720, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-9145","layer":3},{"info":"compute binary expreesion, left_input=-9993, right_input=-9145, 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=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=32, right_input=0, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=0","layer":0}],"base":10,"result_base":10,"text":"((⊙↵-(⊺⇮2866%⊺⇮2275))⋥≓≎(⊺⇮5635⪄⊺⇮1894)⪘⫢(⊺⇮5767⇼⇔∾⊺⇮7049))⪢(((⊥⊺⇮2539)⫥∨⫟(⊺⇮1221⫸⊐⊺⇮2184))+⇶⊼((⋗⩬⋾⊺⇮3331)⩨(⊺⇮1425⪒⊺⇮7720)))=⊺⇮0","reverse_text":"⊺⇮0=((⊙↵-(⊺⇮2866%⊺⇮2275))⋥≓≎(⊺⇮5635⪄⊺⇮1894)⪘⫢(⊺⇮5767⇼⇔∾⊺⇮7049))⪢(((⊥⊺⇮2539)⫥∨⫟(⊺⇮1221⫸⊐⊺⇮2184))+⇶⊼((⋗⩬⋾⊺⇮3331)⩨(⊺⇮1425⪒⊺⇮7720)))","cot":[{"info":"⊺⇮2866%⊺⇮2275=⊺⇮591","layer":3},{"info":"⊙↵-⊺⇮591=⊺⇮-1","layer":2},{"info":"⊺⇮5635⪄⊺⇮1894=⊺⇮-837645","layer":3},{"info":"⊺⇮5767⇼⇔∾⊺⇮7049=⊺⇮1282","layer":3},{"info":"⊺⇮-837645⪘⫢⊺⇮1282=⊺⇮-1","layer":2},{"info":"⊺⇮-1⋥≓≎⊺⇮-1=⊺⇮32","layer":1},{"info":"⊥⊺⇮2539=NaN","layer":3},{"info":"⊺⇮1221⫸⊐⊺⇮2184=⊺⇮8611","layer":3},{"info":"NaN⫥∨⫟⊺⇮8611=NaN","layer":2},{"info":"⋗⩬⋾⊺⇮3331=⊺⇮-9993","layer":3},{"info":"⊺⇮1425⪒⊺⇮7720=⊺⇮-9145","layer":3},{"info":"⊺⇮-9993⩨⊺⇮-9145=⊺⇮0","layer":2},{"info":"NaN+⇶⊼⊺⇮0=⊺⇮0","layer":1},{"info":"⊺⇮32⪢⊺⇮0=⊺⇮0","layer":0}]}
{"id":654,"expression_no_base_symbol":"↩(≤/($4387$∧))⪘⫢(($1796$-$4962$)∸)","expression":"↩(≤/(⊺⇮4387∧))⪘⫢((⊺⇮1796-⊺⇮4962)∸)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":213,"operation_count":6,"complexity_ratio":35.5,"tree":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":4387,"base":10}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1796,"base":10},"right_expr":{"type":"numeric_atoms","value":4962,"base":10}}}}},"used_operators":["jLgFTUHLKL","oacrs7FA3X","eLAdDNolq6","z63VuFQld9","o20kRiQErp","rysDP5nf3Z"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4387","layer":4},{"info":"compute unary expreesion, input=4387, 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 = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":2},{"info":"number node, value=1796","layer":4},{"info":"number node, value=4962","layer":4},{"info":"compute binary expreesion, left_input=1796, right_input=4962, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3166","layer":3},{"info":"compute unary expreesion, input=-3166, 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 = 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 = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"↩(≤/(⊺⇮4387∧))⪘⫢((⊺⇮1796-⊺⇮4962)∸)=NaN","reverse_text":"NaN=↩(≤/(⊺⇮4387∧))⪘⫢((⊺⇮1796-⊺⇮4962)∸)","cot":[{"info":"⊺⇮4387∧=NaN","layer":3},{"info":"≤/NaN=NaN","layer":2},{"info":"⊺⇮1796-⊺⇮4962=⊺⇮-3166","layer":3},{"info":"⊺⇮-3166∸=⊺⇮177","layer":2},{"info":"NaN⪘⫢⊺⇮177=NaN","layer":1},{"info":"↩NaN=NaN","layer":0}]}
{"id":655,"expression_no_base_symbol":"(⊥($1426$⫸⊐$2418$))⨟⋌⩍(⇁⨣⪵$3625$⋝⋈⪟$1198$)∑⇟⊟(($2334$↺$2299$⨳⩥⨓($3969$⨸⪁$1526$))⫩⊇)","expression":"(⊥(⊺⇮1426⫸⊐⊺⇮2418))⨟⋌⩍(⇁⨣⪵⊺⇮3625⋝⋈⪟⊺⇮1198)∑⇟⊟((⊺⇮2334↺⊺⇮2299⨳⩥⨓(⊺⇮3969⨸⪁⊺⇮1526))⫩⊇)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":41,"operation_count":10,"complexity_ratio":4.1,"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":1426,"base":10},"right_expr":{"type":"numeric_atoms","value":2418,"base":10}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3625,"base":10},"right_expr":{"type":"numeric_atoms","value":1198,"base":10}}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2334,"base":10},"right_expr":{"type":"numeric_atoms","value":2299,"base":10}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3969,"base":10},"right_expr":{"type":"numeric_atoms","value":1526,"base":10}}}}},"used_operators":["U7g4x0WXJJ","rGHVDoGpnC","Q3PJZHRvZv","mqXw5SEYmG","inkyxCbjAn","2DDjHMKMc0","BjRHVeLaeN","nCS4ZIUYfx","7j4O788W3g","g55IO6H4Gj"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","Tcnh7f0tEr","fu6greOZ01","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1426","layer":4},{"info":"number node, value=2418","layer":4},{"info":"compute binary expreesion, left_input=1426, right_input=2418, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=9547","layer":3},{"info":"compute unary expreesion, input=9547, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"number node, value=3625","layer":4},{"info":"number node, value=1198","layer":4},{"info":"compute binary expreesion, left_input=3625, right_input=1198, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3625","layer":3},{"info":"compute unary expreesion, input=3625, 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 = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=2334","layer":4},{"info":"number node, value=2299","layer":4},{"info":"compute binary expreesion, left_input=2334, right_input=2299, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2299","layer":3},{"info":"number node, value=3969","layer":4},{"info":"number node, value=1526","layer":4},{"info":"compute binary expreesion, left_input=3969, right_input=1526, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10990","layer":3},{"info":"compute binary expreesion, left_input=2299, right_input=10990, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=8691","layer":2},{"info":"compute unary expreesion, input=8691, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-8649","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-8649, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊥(⊺⇮1426⫸⊐⊺⇮2418))⨟⋌⩍(⇁⨣⪵⊺⇮3625⋝⋈⪟⊺⇮1198)∑⇟⊟((⊺⇮2334↺⊺⇮2299⨳⩥⨓(⊺⇮3969⨸⪁⊺⇮1526))⫩⊇)=NaN","reverse_text":"NaN=(⊥(⊺⇮1426⫸⊐⊺⇮2418))⨟⋌⩍(⇁⨣⪵⊺⇮3625⋝⋈⪟⊺⇮1198)∑⇟⊟((⊺⇮2334↺⊺⇮2299⨳⩥⨓(⊺⇮3969⨸⪁⊺⇮1526))⫩⊇)","cot":[{"info":"⊺⇮1426⫸⊐⊺⇮2418=⊺⇮9547","layer":3},{"info":"⊥⊺⇮9547=NaN","layer":2},{"info":"⊺⇮3625⋝⋈⪟⊺⇮1198=⊺⇮3625","layer":3},{"info":"⇁⨣⪵⊺⇮3625=NaN","layer":2},{"info":"NaN⨟⋌⩍NaN=NaN","layer":1},{"info":"⊺⇮2334↺⊺⇮2299=⊺⇮2299","layer":3},{"info":"⊺⇮3969⨸⪁⊺⇮1526=⊺⇮10990","layer":3},{"info":"⊺⇮2299⨳⩥⨓⊺⇮10990=⊺⇮8691","layer":2},{"info":"⊺⇮8691⫩⊇=⊺⇮-8649","layer":1},{"info":"NaN∑⇟⊟⊺⇮-8649=NaN","layer":0}]}
{"id":656,"expression_no_base_symbol":"(∂(($2370$⨽$1040$)⪠⩆⊳))⨟⋌⩍(($1069$+$3320$)⇷($1320$⩨$6589$)⋳⪒(⊄⩳↩($6418$⨳⩥⨓$5868$)))","expression":"(∂((⊺⇮2370⨽⊺⇮1040)⪠⩆⊳))⨟⋌⩍((⊺⇮1069+⊺⇮3320)⇷(⊺⇮1320⩨⊺⇮6589)⋳⪒(⊄⩳↩(⊺⇮6418⨳⩥⨓⊺⇮5868)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":64276,"operation_count":10,"complexity_ratio":6427.6,"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":2370,"base":10},"right_expr":{"type":"numeric_atoms","value":1040,"base":10}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1069,"base":10},"right_expr":{"type":"numeric_atoms","value":3320,"base":10}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1320,"base":10},"right_expr":{"type":"numeric_atoms","value":6589,"base":10}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":6418,"base":10},"right_expr":{"type":"numeric_atoms","value":5868,"base":10}}}}},"used_operators":["rGHVDoGpnC","Uaa54Peajs","JLbD19bQDL","8HhzD0ZcuI","12rbrZMWeM","mp7IySMOzn","W4YGzv6Whe","2DlMacCsIx","8w2t5hMYqp","nCS4ZIUYfx"],"dependent_operators":["Tcnh7f0tEr","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2370","layer":4},{"info":"number node, value=1040","layer":4},{"info":"compute binary expreesion, left_input=2370, right_input=1040, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-16852506","layer":3},{"info":"compute unary expreesion, input=-16852506, 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 = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=-264","layer":1},{"info":"number node, value=1069","layer":4},{"info":"number node, value=3320","layer":4},{"info":"compute binary expreesion, left_input=1069, right_input=3320, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4389","layer":3},{"info":"number node, value=1320","layer":4},{"info":"number node, value=6589","layer":4},{"info":"compute binary expreesion, left_input=1320, right_input=6589, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-12","layer":3},{"info":"compute binary expreesion, left_input=4389, right_input=-12, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=-24","layer":2},{"info":"number node, value=6418","layer":4},{"info":"number node, value=5868","layer":4},{"info":"compute binary expreesion, left_input=6418, right_input=5868, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-550","layer":3},{"info":"compute unary expreesion, input=-550, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=1650","layer":2},{"info":"compute binary expreesion, left_input=-24, right_input=1650, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-1985","layer":1},{"info":"compute binary expreesion, left_input=-264, right_input=-1985, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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":10,"result_base":10,"text":"(∂((⊺⇮2370⨽⊺⇮1040)⪠⩆⊳))⨟⋌⩍((⊺⇮1069+⊺⇮3320)⇷(⊺⇮1320⩨⊺⇮6589)⋳⪒(⊄⩳↩(⊺⇮6418⨳⩥⨓⊺⇮5868)))=NaN","reverse_text":"NaN=(∂((⊺⇮2370⨽⊺⇮1040)⪠⩆⊳))⨟⋌⩍((⊺⇮1069+⊺⇮3320)⇷(⊺⇮1320⩨⊺⇮6589)⋳⪒(⊄⩳↩(⊺⇮6418⨳⩥⨓⊺⇮5868)))","cot":[{"info":"⊺⇮2370⨽⊺⇮1040=⊺⇮-16852506","layer":3},{"info":"⊺⇮-16852506⪠⩆⊳=⊺⇮0","layer":2},{"info":"∂⊺⇮0=⊺⇮-264","layer":1},{"info":"⊺⇮1069+⊺⇮3320=⊺⇮4389","layer":3},{"info":"⊺⇮1320⩨⊺⇮6589=⊺⇮-12","layer":3},{"info":"⊺⇮4389⇷⊺⇮-12=⊺⇮-24","layer":2},{"info":"⊺⇮6418⨳⩥⨓⊺⇮5868=⊺⇮-550","layer":3},{"info":"⊄⩳↩⊺⇮-550=⊺⇮1650","layer":2},{"info":"⊺⇮-24⋳⪒⊺⇮1650=⊺⇮-1985","layer":1},{"info":"⊺⇮-264⨟⋌⩍⊺⇮-1985=NaN","layer":0}]}
{"id":657,"expression_no_base_symbol":"(($1058$↪⪝)⇷($1212$⊦⊿)⫩⊇)⊴(($3290$↙$1785$)⨎($1309$↛⩡⫤)-(-($1251$⊦⊿)))","expression":"((⊺⇮1058↪⪝)⇷(⊺⇮1212⊦⊿)⫩⊇)⊴((⊺⇮3290↙⊺⇮1785)⨎(⊺⇮1309↛⩡⫤)-(-(⊺⇮1251⊦⊿)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":204161,"operation_count":11,"complexity_ratio":18560.090909090908,"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":1058,"base":10}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1212,"base":10}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3290,"base":10},"right_expr":{"type":"numeric_atoms","value":1785,"base":10}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1309,"base":10}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1251,"base":10}}}}},"used_operators":["Nsiff2A1zJ","BjRHVeLaeN","mp7IySMOzn","l07mrZUIn9","14qkJME0vr","rysDP5nf3Z","rJVOvQCfKK","yyfyN0ffXY","FU0Cs4j7VP","t8gj7n24qd"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","tmPS8pqC7x","DpFCA1CohY","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1058","layer":4},{"info":"compute unary expreesion, input=1058, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=64730556","layer":3},{"info":"number node, value=1212","layer":4},{"info":"compute unary expreesion, input=1212, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-3715","layer":3},{"info":"compute binary expreesion, left_input=64730556, right_input=-3715, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":1},{"info":"number node, value=3290","layer":4},{"info":"number node, value=1785","layer":4},{"info":"compute binary expreesion, left_input=3290, right_input=1785, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5355","layer":3},{"info":"number node, value=1309","layer":4},{"info":"compute unary expreesion, input=1309, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-193748","layer":3},{"info":"compute binary expreesion, left_input=-5355, right_input=-193748, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-193748","layer":2},{"info":"number node, value=1251","layer":4},{"info":"compute unary expreesion, input=1251, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-3832","layer":3},{"info":"compute unary expreesion, input=-3832, op_id = t8gj7n24qd, unary_op_definition = 'None', output=3832","layer":2},{"info":"compute binary expreesion, left_input=-193748, right_input=3832, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-197580","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-197580, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1058↪⪝)⇷(⊺⇮1212⊦⊿)⫩⊇)⊴((⊺⇮3290↙⊺⇮1785)⨎(⊺⇮1309↛⩡⫤)-(-(⊺⇮1251⊦⊿)))=NaN","reverse_text":"NaN=((⊺⇮1058↪⪝)⇷(⊺⇮1212⊦⊿)⫩⊇)⊴((⊺⇮3290↙⊺⇮1785)⨎(⊺⇮1309↛⩡⫤)-(-(⊺⇮1251⊦⊿)))","cot":[{"info":"⊺⇮1058↪⪝=⊺⇮64730556","layer":3},{"info":"⊺⇮1212⊦⊿=⊺⇮-3715","layer":3},{"info":"⊺⇮64730556⇷⊺⇮-3715=NaN","layer":2},{"info":"NaN⫩⊇=NaN","layer":1},{"info":"⊺⇮3290↙⊺⇮1785=⊺⇮-5355","layer":3},{"info":"⊺⇮1309↛⩡⫤=⊺⇮-193748","layer":3},{"info":"⊺⇮-5355⨎⊺⇮-193748=⊺⇮-193748","layer":2},{"info":"⊺⇮1251⊦⊿=⊺⇮-3832","layer":3},{"info":"-⊺⇮-3832=⊺⇮3832","layer":2},{"info":"⊺⇮-193748-⊺⇮3832=⊺⇮-197580","layer":1},{"info":"NaN⊴⊺⇮-197580=NaN","layer":0}]}
{"id":658,"expression_no_base_symbol":"$8498$⋓$4336$⪄(⊄⩳↩$1150$)⊭↱(⪲⇎$3421$⫥∨⫟$1418$)⫡⨏(↽≂$2997$⨪↰⇹$4601$)*($4239$⪘⫢$2278$≫≃)","expression":"⊺⇮8498⋓⊺⇮4336⪄(⊄⩳↩⊺⇮1150)⊭↱(⪲⇎⊺⇮3421⫥∨⫟⊺⇮1418)⫡⨏(↽≂⊺⇮2997⨪↰⇹⊺⇮4601)*(⊺⇮4239⪘⫢⊺⇮2278≫≃)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":9224,"operation_count":12,"complexity_ratio":768.6666666666666,"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":8498,"base":10},"right_expr":{"type":"numeric_atoms","value":4336,"base":10}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1150,"base":10}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3421,"base":10},"right_expr":{"type":"numeric_atoms","value":1418,"base":10}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2997,"base":10},"right_expr":{"type":"numeric_atoms","value":4601,"base":10}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4239,"base":10},"right_expr":{"type":"numeric_atoms","value":2278,"base":10}}}}},"used_operators":["QMFrweE19q","COABgblf1C","SUmda5xLS4","T2fj7uvVaJ","8w2t5hMYqp","XPYlsWDdGa","KYD54nUTWz","9HNa5Wba9A","u6S6b8DprG","tmPS8pqC7x","X99M06cbEe","oacrs7FA3X"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=8498","layer":4},{"info":"number node, value=4336","layer":4},{"info":"compute binary expreesion, left_input=8498, right_input=4336, op_id = T2fj7uvVaJ binary_op_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=1150","layer":4},{"info":"compute unary expreesion, input=1150, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3450","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-3450, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=17711","layer":2},{"info":"number node, value=3421","layer":4},{"info":"number node, value=1418","layer":4},{"info":"compute binary expreesion, left_input=3421, right_input=1418, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽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":"compute binary expreesion, left_input=17711, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"number node, value=2997","layer":4},{"info":"number node, value=4601","layer":4},{"info":"compute binary expreesion, left_input=2997, right_input=4601, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2997","layer":3},{"info":"compute unary expreesion, input=2997, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-5994","layer":2},{"info":"number node, value=4239","layer":4},{"info":"number node, value=2278","layer":4},{"info":"compute binary expreesion, left_input=4239, right_input=2278, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=8354","layer":3},{"info":"compute unary expreesion, input=8354, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=18109","layer":2},{"info":"compute binary expreesion, left_input=-5994, right_input=18109, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-108545346","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-108545346, op_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":10,"result_base":10,"text":"⊺⇮8498⋓⊺⇮4336⪄(⊄⩳↩⊺⇮1150)⊭↱(⪲⇎⊺⇮3421⫥∨⫟⊺⇮1418)⫡⨏(↽≂⊺⇮2997⨪↰⇹⊺⇮4601)*(⊺⇮4239⪘⫢⊺⇮2278≫≃)=NaN","reverse_text":"NaN=⊺⇮8498⋓⊺⇮4336⪄(⊄⩳↩⊺⇮1150)⊭↱(⪲⇎⊺⇮3421⫥∨⫟⊺⇮1418)⫡⨏(↽≂⊺⇮2997⨪↰⇹⊺⇮4601)*(⊺⇮4239⪘⫢⊺⇮2278≫≃)","cot":[{"info":"⊺⇮8498⋓⊺⇮4336=⊺⇮0","layer":3},{"info":"⊄⩳↩⊺⇮1150=⊺⇮-3450","layer":3},{"info":"⊺⇮0⪄⊺⇮-3450=⊺⇮17711","layer":2},{"info":"⊺⇮3421⫥∨⫟⊺⇮1418=NaN","layer":3},{"info":"⪲⇎NaN=NaN","layer":2},{"info":"⊺⇮17711⊭↱NaN=NaN","layer":1},{"info":"⊺⇮2997⨪↰⇹⊺⇮4601=⊺⇮2997","layer":3},{"info":"↽≂⊺⇮2997=⊺⇮-5994","layer":2},{"info":"⊺⇮4239⪘⫢⊺⇮2278=⊺⇮8354","layer":3},{"info":"⊺⇮8354≫≃=⊺⇮18109","layer":2},{"info":"⊺⇮-5994*⊺⇮18109=⊺⇮-108545346","layer":1},{"info":"NaN⫡⨏⊺⇮-108545346=NaN","layer":0}]}
{"id":659,"expression_no_base_symbol":"(($2688$⪘⫢$2880$⪠⩆⊳)⨳⩥⨓(⊙↵-$5637$⨟⋌⩍$2095$))⪘⫢(($2282$↺$5676$⪨≂(⩦⩻⨪$8842$))⊭↱(($3052$⪒$1218$)⊭↱$1023$≹⇙⪍$2782$))","expression":"((⊺⇮2688⪘⫢⊺⇮2880⪠⩆⊳)⨳⩥⨓(⊙↵-⊺⇮5637⨟⋌⩍⊺⇮2095))⪘⫢((⊺⇮2282↺⊺⇮5676⪨≂(⩦⩻⨪⊺⇮8842))⊭↱((⊺⇮3052⪒⊺⇮1218)⊭↱⊺⇮1023≹⇙⪍⊺⇮2782))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":87,"operation_count":13,"complexity_ratio":6.6923076923076925,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2688,"base":10},"right_expr":{"type":"numeric_atoms","value":2880,"base":10}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":5637,"base":10},"right_expr":{"type":"numeric_atoms","value":2095,"base":10}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2282,"base":10},"right_expr":{"type":"numeric_atoms","value":5676,"base":10}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":8842,"base":10}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3052,"base":10},"right_expr":{"type":"numeric_atoms","value":1218,"base":10}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1023,"base":10},"right_expr":{"type":"numeric_atoms","value":2782,"base":10}}}}},"used_operators":["oacrs7FA3X","nCS4ZIUYfx","JLbD19bQDL","oWn0xqSxBt","rGHVDoGpnC","COABgblf1C","sdazOOVcIp","7j4O788W3g","2td37pGCOC","f6k1SAg4EE","AHs5Up7iyr"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2688","layer":4},{"info":"number node, value=2880","layer":4},{"info":"compute binary expreesion, left_input=2688, right_input=2880, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5252","layer":3},{"info":"compute unary expreesion, input=5252, 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=5637","layer":4},{"info":"number node, value=2095","layer":4},{"info":"compute binary expreesion, left_input=5637, right_input=2095, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"number node, value=2282","layer":4},{"info":"number node, value=5676","layer":4},{"info":"compute binary expreesion, left_input=2282, right_input=5676, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5676","layer":3},{"info":"number node, value=8842","layer":4},{"info":"compute unary expreesion, input=8842, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=8842","layer":3},{"info":"compute binary expreesion, left_input=5676, right_input=8842, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-6230","layer":2},{"info":"number node, value=3052","layer":4},{"info":"number node, value=1218","layer":4},{"info":"compute binary expreesion, left_input=3052, right_input=1218, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4270","layer":3},{"info":"number node, value=1023","layer":4},{"info":"number node, value=2782","layer":4},{"info":"compute binary expreesion, left_input=1023, right_input=2782, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=-4270, 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=-6230, 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 = 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":10,"result_base":10,"text":"((⊺⇮2688⪘⫢⊺⇮2880⪠⩆⊳)⨳⩥⨓(⊙↵-⊺⇮5637⨟⋌⩍⊺⇮2095))⪘⫢((⊺⇮2282↺⊺⇮5676⪨≂(⩦⩻⨪⊺⇮8842))⊭↱((⊺⇮3052⪒⊺⇮1218)⊭↱⊺⇮1023≹⇙⪍⊺⇮2782))=NaN","reverse_text":"NaN=((⊺⇮2688⪘⫢⊺⇮2880⪠⩆⊳)⨳⩥⨓(⊙↵-⊺⇮5637⨟⋌⩍⊺⇮2095))⪘⫢((⊺⇮2282↺⊺⇮5676⪨≂(⩦⩻⨪⊺⇮8842))⊭↱((⊺⇮3052⪒⊺⇮1218)⊭↱⊺⇮1023≹⇙⪍⊺⇮2782))","cot":[{"info":"⊺⇮2688⪘⫢⊺⇮2880=⊺⇮5252","layer":3},{"info":"⊺⇮5252⪠⩆⊳=⊺⇮0","layer":2},{"info":"⊺⇮5637⨟⋌⩍⊺⇮2095=NaN","layer":3},{"info":"⊙↵-NaN=NaN","layer":2},{"info":"⊺⇮0⨳⩥⨓NaN=NaN","layer":1},{"info":"⊺⇮2282↺⊺⇮5676=⊺⇮5676","layer":3},{"info":"⩦⩻⨪⊺⇮8842=⊺⇮8842","layer":3},{"info":"⊺⇮5676⪨≂⊺⇮8842=⊺⇮-6230","layer":2},{"info":"⊺⇮3052⪒⊺⇮1218=⊺⇮-4270","layer":3},{"info":"⊺⇮1023≹⇙⪍⊺⇮2782=NaN","layer":3},{"info":"⊺⇮-4270⊭↱NaN=NaN","layer":2},{"info":"⊺⇮-6230⊭↱NaN=NaN","layer":1},{"info":"NaN⪘⫢NaN=NaN","layer":0}]}
{"id":660,"expression_no_base_symbol":"((-$1401$)%($4426$⫡⨏$3641$)⪨≂(⪲⇎(⨈⫕$2650$)))⪛(((∂$2221$)⋳⪒($5022$%$3474$))≧⫂∧($2160$∑⇟⊟$1398$)⨟⋌⩍($3721$⋓$5269$))","expression":"((-⊺⇮1401)%(⊺⇮4426⫡⨏⊺⇮3641)⪨≂(⪲⇎(⨈⫕⊺⇮2650)))⪛(((∂⊺⇮2221)⋳⪒(⊺⇮5022%⊺⇮3474))≧⫂∧(⊺⇮2160∑⇟⊟⊺⇮1398)⨟⋌⩍(⊺⇮3721⋓⊺⇮5269))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":431,"operation_count":14,"complexity_ratio":30.785714285714285,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1401,"base":10}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4426,"base":10},"right_expr":{"type":"numeric_atoms","value":3641,"base":10}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2650,"base":10}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2221,"base":10}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":5022,"base":10},"right_expr":{"type":"numeric_atoms","value":3474,"base":10}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2160,"base":10},"right_expr":{"type":"numeric_atoms","value":1398,"base":10}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3721,"base":10},"right_expr":{"type":"numeric_atoms","value":5269,"base":10}}}}},"used_operators":["uFcxV4UQCh","sdazOOVcIp","k8jYdgA6NY","t8gj7n24qd","QMFrweE19q","XPYlsWDdGa","megm06wKyl","Ph9nP6C5qx","12rbrZMWeM","Uaa54Peajs","rGHVDoGpnC","U7g4x0WXJJ","T2fj7uvVaJ"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","Tcnh7f0tEr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1401","layer":4},{"info":"compute unary expreesion, input=1401, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1401","layer":3},{"info":"number node, value=4426","layer":4},{"info":"number node, value=3641","layer":4},{"info":"compute binary expreesion, left_input=4426, right_input=3641, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=30195","layer":3},{"info":"compute binary expreesion, left_input=-1401, right_input=30195, op_id = k8jYdgA6NY binary_op_definition= 'None', output=28794","layer":2},{"info":"number node, value=2650","layer":4},{"info":"compute unary expreesion, input=2650, 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 = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-42","layer":2},{"info":"compute binary expreesion, left_input=28794, right_input=-42, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=57774","layer":1},{"info":"number node, value=2221","layer":4},{"info":"compute unary expreesion, input=2221, 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=5022","layer":4},{"info":"number node, value=3474","layer":4},{"info":"compute binary expreesion, left_input=5022, right_input=3474, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1548","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1548, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"number node, value=2160","layer":4},{"info":"number node, value=1398","layer":4},{"info":"compute binary expreesion, left_input=2160, right_input=1398, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=3721","layer":4},{"info":"number node, value=5269","layer":4},{"info":"compute binary expreesion, left_input=3721, right_input=5269, op_id = T2fj7uvVaJ binary_op_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 = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=57774, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((-⊺⇮1401)%(⊺⇮4426⫡⨏⊺⇮3641)⪨≂(⪲⇎(⨈⫕⊺⇮2650)))⪛(((∂⊺⇮2221)⋳⪒(⊺⇮5022%⊺⇮3474))≧⫂∧(⊺⇮2160∑⇟⊟⊺⇮1398)⨟⋌⩍(⊺⇮3721⋓⊺⇮5269))=NaN","reverse_text":"NaN=((-⊺⇮1401)%(⊺⇮4426⫡⨏⊺⇮3641)⪨≂(⪲⇎(⨈⫕⊺⇮2650)))⪛(((∂⊺⇮2221)⋳⪒(⊺⇮5022%⊺⇮3474))≧⫂∧(⊺⇮2160∑⇟⊟⊺⇮1398)⨟⋌⩍(⊺⇮3721⋓⊺⇮5269))","cot":[{"info":"-⊺⇮1401=⊺⇮-1401","layer":3},{"info":"⊺⇮4426⫡⨏⊺⇮3641=⊺⇮30195","layer":3},{"info":"⊺⇮-1401%⊺⇮30195=⊺⇮28794","layer":2},{"info":"⨈⫕⊺⇮2650=⊺⇮-21","layer":3},{"info":"⪲⇎⊺⇮-21=⊺⇮-42","layer":2},{"info":"⊺⇮28794⪨≂⊺⇮-42=⊺⇮57774","layer":1},{"info":"∂⊺⇮2221=NaN","layer":3},{"info":"⊺⇮5022%⊺⇮3474=⊺⇮1548","layer":3},{"info":"NaN⋳⪒⊺⇮1548=NaN","layer":2},{"info":"⊺⇮2160∑⇟⊟⊺⇮1398=NaN","layer":3},{"info":"⊺⇮3721⋓⊺⇮5269=⊺⇮0","layer":3},{"info":"NaN⨟⋌⩍⊺⇮0=NaN","layer":2},{"info":"NaN≧⫂∧NaN=NaN","layer":1},{"info":"⊺⇮57774⪛NaN=NaN","layer":0}]}
{"id":661,"expression_no_base_symbol":"⨞⊢((≤/$3561$⨐⩸⫘$3557$)⫌⩹⨱)","expression":"⨞⊢((≤/⊺⇮3561⨐⩸⫘⊺⇮3557)⫌⩹⨱)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11,"operation_count":4,"complexity_ratio":2.75,"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":3561,"base":10},"right_expr":{"type":"numeric_atoms","value":3557,"base":10}}}}},"used_operators":["xUOZtlo3hN","EBcxylXtPf","eLAdDNolq6","fu6greOZ01"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=3561","layer":4},{"info":"number node, value=3557","layer":4},{"info":"compute binary expreesion, left_input=3561, right_input=3557, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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 = eLAdDNolq6, unary_op_definition = '≤/a = { (484-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 = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⨞⊢((≤/⊺⇮3561⨐⩸⫘⊺⇮3557)⫌⩹⨱)=NaN","reverse_text":"NaN=⨞⊢((≤/⊺⇮3561⨐⩸⫘⊺⇮3557)⫌⩹⨱)","cot":[{"info":"⊺⇮3561⨐⩸⫘⊺⇮3557=NaN","layer":3},{"info":"≤/NaN=NaN","layer":2},{"info":"NaN⫌⩹⨱=NaN","layer":1},{"info":"⨞⊢NaN=NaN","layer":0}]}
{"id":662,"expression_no_base_symbol":"($3148$⋝⋈⪟$2200$⊭↱($2626$⨸⪁$1151$))⋥≓≎($3243$⪢$2488$)⪢($6265$-$2690$)⋷($5115$≎⊠⪸$1119$⊭∹↮)⋳⪒(∥⊫$2294$⋓$1079$)","expression":"(⊺⇮3148⋝⋈⪟⊺⇮2200⊭↱(⊺⇮2626⨸⪁⊺⇮1151))⋥≓≎(⊺⇮3243⪢⊺⇮2488)⪢(⊺⇮6265-⊺⇮2690)⋷(⊺⇮5115≎⊠⪸⊺⇮1119⊭∹↮)⋳⪒(∥⊫⊺⇮2294⋓⊺⇮1079)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7970,"operation_count":13,"complexity_ratio":613.0769230769231,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3148,"base":10},"right_expr":{"type":"numeric_atoms","value":2200,"base":10}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2626,"base":10},"right_expr":{"type":"numeric_atoms","value":1151,"base":10}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3243,"base":10},"right_expr":{"type":"numeric_atoms","value":2488,"base":10}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":6265,"base":10},"right_expr":{"type":"numeric_atoms","value":2690,"base":10}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":5115,"base":10},"right_expr":{"type":"numeric_atoms","value":1119,"base":10}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2294,"base":10},"right_expr":{"type":"numeric_atoms","value":1079,"base":10}}}}},"used_operators":["23Mk6UjR3U","Qy55tPpLXF","COABgblf1C","2DDjHMKMc0","g55IO6H4Gj","dWAJyo7jo9","rysDP5nf3Z","12rbrZMWeM","xNBdhnnwKq","bJkvcejdHO","P8v4zCKN1o","T2fj7uvVaJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3148","layer":4},{"info":"number node, value=2200","layer":4},{"info":"compute binary expreesion, left_input=3148, right_input=2200, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3148","layer":3},{"info":"number node, value=2626","layer":4},{"info":"number node, value=1151","layer":4},{"info":"compute binary expreesion, left_input=2626, right_input=1151, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=7554","layer":3},{"info":"compute binary expreesion, left_input=3148, right_input=7554, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=8817","layer":2},{"info":"number node, value=3243","layer":4},{"info":"number node, value=2488","layer":4},{"info":"compute binary expreesion, left_input=3243, right_input=2488, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=6265","layer":4},{"info":"number node, value=2690","layer":4},{"info":"compute binary expreesion, left_input=6265, right_input=2690, op_id = rysDP5nf3Z binary_op_definition= 'None', output=3575","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3575, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=8817, 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=5115","layer":4},{"info":"number node, value=1119","layer":4},{"info":"compute binary expreesion, left_input=5115, right_input=1119, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1324312","layer":3},{"info":"compute unary expreesion, input=1324312, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2648624","layer":2},{"info":"number node, value=2294","layer":4},{"info":"number node, value=1079","layer":4},{"info":"compute binary expreesion, left_input=2294, right_input=1079, op_id = T2fj7uvVaJ binary_op_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 = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=868","layer":2},{"info":"compute binary expreesion, left_input=2648624, right_input=868, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=5296093","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=5296093, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮3148⋝⋈⪟⊺⇮2200⊭↱(⊺⇮2626⨸⪁⊺⇮1151))⋥≓≎(⊺⇮3243⪢⊺⇮2488)⪢(⊺⇮6265-⊺⇮2690)⋷(⊺⇮5115≎⊠⪸⊺⇮1119⊭∹↮)⋳⪒(∥⊫⊺⇮2294⋓⊺⇮1079)=NaN","reverse_text":"NaN=(⊺⇮3148⋝⋈⪟⊺⇮2200⊭↱(⊺⇮2626⨸⪁⊺⇮1151))⋥≓≎(⊺⇮3243⪢⊺⇮2488)⪢(⊺⇮6265-⊺⇮2690)⋷(⊺⇮5115≎⊠⪸⊺⇮1119⊭∹↮)⋳⪒(∥⊫⊺⇮2294⋓⊺⇮1079)","cot":[{"info":"⊺⇮3148⋝⋈⪟⊺⇮2200=⊺⇮3148","layer":3},{"info":"⊺⇮2626⨸⪁⊺⇮1151=⊺⇮7554","layer":3},{"info":"⊺⇮3148⊭↱⊺⇮7554=⊺⇮8817","layer":2},{"info":"⊺⇮3243⪢⊺⇮2488=NaN","layer":3},{"info":"⊺⇮6265-⊺⇮2690=⊺⇮3575","layer":3},{"info":"NaN⪢⊺⇮3575=NaN","layer":2},{"info":"⊺⇮8817⋥≓≎NaN=NaN","layer":1},{"info":"⊺⇮5115≎⊠⪸⊺⇮1119=⊺⇮1324312","layer":3},{"info":"⊺⇮1324312⊭∹↮=⊺⇮2648624","layer":2},{"info":"⊺⇮2294⋓⊺⇮1079=⊺⇮0","layer":3},{"info":"∥⊫⊺⇮0=⊺⇮868","layer":2},{"info":"⊺⇮2648624⋳⪒⊺⇮868=⊺⇮5296093","layer":1},{"info":"NaN⋷⊺⇮5296093=NaN","layer":0}]}
{"id":663,"expression_no_base_symbol":"(($2936$⫡⨏$5744$)⩤)⪮%⊝($1782$⋝⋈⪟$1498$⨐⩸⫘(⨞⊢$3513$))*((-$1235$)∲⫓(⫛⫱⨽$4922$)⫡⨏$2667$⫸⊐$1019$⊉≛↸$6092$⪘⫢$1416$)","expression":"((⊺⇮2936⫡⨏⊺⇮5744)⩤)⪮%⊝(⊺⇮1782⋝⋈⪟⊺⇮1498⨐⩸⫘(⨞⊢⊺⇮3513))*((-⊺⇮1235)∲⫓(⫛⫱⨽⊺⇮4922)⫡⨏⊺⇮2667⫸⊐⊺⇮1019⊉≛↸⊺⇮6092⪘⫢⊺⇮1416)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1496,"operation_count":14,"complexity_ratio":106.85714285714286,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2936,"base":10},"right_expr":{"type":"numeric_atoms","value":5744,"base":10}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1782,"base":10},"right_expr":{"type":"numeric_atoms","value":1498,"base":10}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":3513,"base":10}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1235,"base":10}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":4922,"base":10}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2667,"base":10},"right_expr":{"type":"numeric_atoms","value":1019,"base":10}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":6092,"base":10},"right_expr":{"type":"numeric_atoms","value":1416,"base":10}}}}},"used_operators":["9HNa5Wba9A","IWmyXbctLI","Z2TMIBDE3Q","QMFrweE19q","fu6greOZ01","2DDjHMKMc0","xUOZtlo3hN","i8ToyICDmI","t8gj7n24qd","DlLNRPXxWL","DZ8iAZOCBD","mqXw5SEYmG","oacrs7FA3X"],"dependent_operators":["W4YGzv6Whe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2936","layer":4},{"info":"number node, value=5744","layer":4},{"info":"compute binary expreesion, left_input=2936, right_input=5744, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=26951","layer":3},{"info":"compute unary expreesion, input=26951, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-26951","layer":2},{"info":"number node, value=1782","layer":4},{"info":"number node, value=1498","layer":4},{"info":"compute binary expreesion, left_input=1782, right_input=1498, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1782","layer":3},{"info":"number node, value=3513","layer":4},{"info":"compute unary expreesion, input=3513, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-3687","layer":3},{"info":"compute binary expreesion, left_input=1782, right_input=-3687, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=-26951, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"number node, value=1235","layer":4},{"info":"compute unary expreesion, input=1235, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1235","layer":3},{"info":"number node, value=4922","layer":4},{"info":"compute unary expreesion, input=4922, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-1235, right_input=0, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-1235","layer":2},{"info":"number node, value=2667","layer":4},{"info":"number node, value=1019","layer":4},{"info":"compute binary expreesion, left_input=2667, right_input=1019, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=3951","layer":3},{"info":"number node, value=6092","layer":4},{"info":"number node, value=1416","layer":4},{"info":"compute binary expreesion, left_input=6092, right_input=1416, 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 binary expreesion, left_input=3951, right_input=12060, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=7902","layer":2},{"info":"compute binary expreesion, left_input=-1235, right_input=7902, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=10412","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=10412, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮2936⫡⨏⊺⇮5744)⩤)⪮%⊝(⊺⇮1782⋝⋈⪟⊺⇮1498⨐⩸⫘(⨞⊢⊺⇮3513))*((-⊺⇮1235)∲⫓(⫛⫱⨽⊺⇮4922)⫡⨏⊺⇮2667⫸⊐⊺⇮1019⊉≛↸⊺⇮6092⪘⫢⊺⇮1416)=NaN","reverse_text":"NaN=((⊺⇮2936⫡⨏⊺⇮5744)⩤)⪮%⊝(⊺⇮1782⋝⋈⪟⊺⇮1498⨐⩸⫘(⨞⊢⊺⇮3513))*((-⊺⇮1235)∲⫓(⫛⫱⨽⊺⇮4922)⫡⨏⊺⇮2667⫸⊐⊺⇮1019⊉≛↸⊺⇮6092⪘⫢⊺⇮1416)","cot":[{"info":"⊺⇮2936⫡⨏⊺⇮5744=⊺⇮26951","layer":3},{"info":"⊺⇮26951⩤=⊺⇮-26951","layer":2},{"info":"⊺⇮1782⋝⋈⪟⊺⇮1498=⊺⇮1782","layer":3},{"info":"⨞⊢⊺⇮3513=⊺⇮-3687","layer":3},{"info":"⊺⇮1782⨐⩸⫘⊺⇮-3687=NaN","layer":2},{"info":"⊺⇮-26951⪮%⊝NaN=NaN","layer":1},{"info":"-⊺⇮1235=⊺⇮-1235","layer":3},{"info":"⫛⫱⨽⊺⇮4922=⊺⇮0","layer":3},{"info":"⊺⇮-1235∲⫓⊺⇮0=⊺⇮-1235","layer":2},{"info":"⊺⇮2667⫸⊐⊺⇮1019=⊺⇮3951","layer":3},{"info":"⊺⇮6092⪘⫢⊺⇮1416=⊺⇮12060","layer":3},{"info":"⊺⇮3951⊉≛↸⊺⇮12060=⊺⇮7902","layer":2},{"info":"⊺⇮-1235⫡⨏⊺⇮7902=⊺⇮10412","layer":1},{"info":"NaN*⊺⇮10412=NaN","layer":0}]}
{"id":664,"expression_no_base_symbol":"(((∥⊫$5436$)⫌⩹⨱)⊪)⨓(($1860$⨓$7617$⪄$7684$⊴$5867$)⪐)","expression":"(((∥⊫⊺⇮5436)⫌⩹⨱)⊪)⨓((⊺⇮1860⨓⊺⇮7617⪄⊺⇮7684⊴⊺⇮5867)⪐)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":23767,"operation_count":8,"complexity_ratio":2970.875,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":5436,"base":10}}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1860,"base":10},"right_expr":{"type":"numeric_atoms","value":7617,"base":10}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":7684,"base":10},"right_expr":{"type":"numeric_atoms","value":5867,"base":10}}}}},"used_operators":["3ViojmjbAp","zVYPLywUTj","EBcxylXtPf","P8v4zCKN1o","eH2TOUuTDT","SUmda5xLS4","Nsiff2A1zJ"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","dWAJyo7jo9","14qkJME0vr"],"result":"⊺⇮-7961","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5436","layer":4},{"info":"compute unary expreesion, input=5436, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=6304","layer":3},{"info":"compute unary expreesion, input=6304, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=14009","layer":2},{"info":"compute unary expreesion, input=14009, 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=1860","layer":4},{"info":"number node, value=7617","layer":4},{"info":"compute binary expreesion, left_input=1860, right_input=7617, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-7620","layer":3},{"info":"number node, value=7684","layer":4},{"info":"number node, value=5867","layer":4},{"info":"compute binary expreesion, left_input=7684, right_input=5867, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-7620, 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 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":"compute binary expreesion, left_input=0, right_input=7958, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-7961","layer":0}],"base":10,"result_base":10,"text":"(((∥⊫⊺⇮5436)⫌⩹⨱)⊪)⨓((⊺⇮1860⨓⊺⇮7617⪄⊺⇮7684⊴⊺⇮5867)⪐)=⊺⇮-7961","reverse_text":"⊺⇮-7961=(((∥⊫⊺⇮5436)⫌⩹⨱)⊪)⨓((⊺⇮1860⨓⊺⇮7617⪄⊺⇮7684⊴⊺⇮5867)⪐)","cot":[{"info":"∥⊫⊺⇮5436=⊺⇮6304","layer":3},{"info":"⊺⇮6304⫌⩹⨱=⊺⇮14009","layer":2},{"info":"⊺⇮14009⊪=⊺⇮0","layer":1},{"info":"⊺⇮1860⨓⊺⇮7617=⊺⇮-7620","layer":3},{"info":"⊺⇮7684⊴⊺⇮5867=NaN","layer":3},{"info":"⊺⇮-7620⪄NaN=⊺⇮3979","layer":2},{"info":"⊺⇮3979⪐=⊺⇮7958","layer":1},{"info":"⊺⇮0⨓⊺⇮7958=⊺⇮-7961","layer":0}]}
{"id":665,"expression_no_base_symbol":"↣≠⋷((($6781$⨸⪁$1252$)⨎$2604$↬$1615$)⨓($7732$⨪↰⇹$1649$↙(↩$2014$)))","expression":"↣≠⋷(((⊺⇮6781⨸⪁⊺⇮1252)⨎⊺⇮2604↬⊺⇮1615)⨓(⊺⇮7732⨪↰⇹⊺⇮1649↙(↩⊺⇮2014)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":61093,"operation_count":8,"complexity_ratio":7636.625,"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":6781,"base":10},"right_expr":{"type":"numeric_atoms","value":1252,"base":10}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2604,"base":10},"right_expr":{"type":"numeric_atoms","value":1615,"base":10}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":7732,"base":10},"right_expr":{"type":"numeric_atoms","value":1649,"base":10}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":2014,"base":10}}}}},"used_operators":["Asc51vEJeQ","3ViojmjbAp","rJVOvQCfKK","g55IO6H4Gj","B5M0gjZbta","yyfyN0ffXY","tmPS8pqC7x","jLgFTUHLKL"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","rGHVDoGpnC","tmPS8pqC7x","DpFCA1CohY","rJVOvQCfKK","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6781","layer":4},{"info":"number node, value=1252","layer":4},{"info":"compute binary expreesion, left_input=6781, right_input=1252, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=16066","layer":3},{"info":"number node, value=2604","layer":4},{"info":"number node, value=1615","layer":4},{"info":"compute binary expreesion, left_input=2604, right_input=1615, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=16066, 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=7732","layer":4},{"info":"number node, value=1649","layer":4},{"info":"compute binary expreesion, left_input=7732, right_input=1649, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=7732","layer":3},{"info":"number node, value=2014","layer":4},{"info":"compute unary expreesion, input=2014, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-13332","layer":3},{"info":"compute binary expreesion, left_input=7732, right_input=-13332, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=39996","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=39996, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-39999","layer":1},{"info":"compute unary expreesion, input=-39999, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"↣≠⋷(((⊺⇮6781⨸⪁⊺⇮1252)⨎⊺⇮2604↬⊺⇮1615)⨓(⊺⇮7732⨪↰⇹⊺⇮1649↙(↩⊺⇮2014)))=NaN","reverse_text":"NaN=↣≠⋷(((⊺⇮6781⨸⪁⊺⇮1252)⨎⊺⇮2604↬⊺⇮1615)⨓(⊺⇮7732⨪↰⇹⊺⇮1649↙(↩⊺⇮2014)))","cot":[{"info":"⊺⇮6781⨸⪁⊺⇮1252=⊺⇮16066","layer":3},{"info":"⊺⇮2604↬⊺⇮1615=NaN","layer":3},{"info":"⊺⇮16066⨎NaN=NaN","layer":2},{"info":"⊺⇮7732⨪↰⇹⊺⇮1649=⊺⇮7732","layer":3},{"info":"↩⊺⇮2014=⊺⇮-13332","layer":3},{"info":"⊺⇮7732↙⊺⇮-13332=⊺⇮39996","layer":2},{"info":"NaN⨓⊺⇮39996=⊺⇮-39999","layer":1},{"info":"↣≠⋷⊺⇮-39999=NaN","layer":0}]}
{"id":666,"expression_no_base_symbol":"(↔((⪲⇎$2705$)↛⩡⫤))⋳⪒(∥⊫($3364$%$3362$))⨪↰⇹(($5721$⪨≂$2080$)⨰(⨵≀≌$4958$))","expression":"(↔((⪲⇎⊺⇮2705)↛⩡⫤))⋳⪒(∥⊫(⊺⇮3364%⊺⇮3362))⨪↰⇹((⊺⇮5721⪨≂⊺⇮2080)⨰(⨵≀≌⊺⇮4958))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":17284,"operation_count":10,"complexity_ratio":1728.4,"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":2705,"base":10}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3364,"base":10},"right_expr":{"type":"numeric_atoms","value":3362,"base":10}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":5721,"base":10},"right_expr":{"type":"numeric_atoms","value":2080,"base":10}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":4958,"base":10}}}}},"used_operators":["12rbrZMWeM","ruOEQAzv1W","FU0Cs4j7VP","XPYlsWDdGa","tmPS8pqC7x","P8v4zCKN1o","k8jYdgA6NY","eewbuw0ToL","sdazOOVcIp","srAu1WTS94"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"⊺⇮-1425","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2705","layer":4},{"info":"compute unary expreesion, input=2705, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=5410","layer":3},{"info":"compute unary expreesion, input=5410, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-812999","layer":2},{"info":"compute unary expreesion, input=-812999, 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=3364","layer":4},{"info":"number node, value=3362","layer":4},{"info":"compute binary expreesion, left_input=3364, right_input=3362, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2","layer":3},{"info":"compute unary expreesion, input=2, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=870","layer":2},{"info":"number node, value=5721","layer":4},{"info":"number node, value=2080","layer":4},{"info":"compute binary expreesion, left_input=5721, right_input=2080, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=7384","layer":3},{"info":"number node, value=4958","layer":4},{"info":"compute unary expreesion, input=4958, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-14874","layer":3},{"info":"compute binary expreesion, left_input=7384, right_input=-14874, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=22268","layer":2},{"info":"compute binary expreesion, left_input=870, right_input=22268, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=870","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=870, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-1425","layer":0}],"base":10,"result_base":10,"text":"(↔((⪲⇎⊺⇮2705)↛⩡⫤))⋳⪒(∥⊫(⊺⇮3364%⊺⇮3362))⨪↰⇹((⊺⇮5721⪨≂⊺⇮2080)⨰(⨵≀≌⊺⇮4958))=⊺⇮-1425","reverse_text":"⊺⇮-1425=(↔((⪲⇎⊺⇮2705)↛⩡⫤))⋳⪒(∥⊫(⊺⇮3364%⊺⇮3362))⨪↰⇹((⊺⇮5721⪨≂⊺⇮2080)⨰(⨵≀≌⊺⇮4958))","cot":[{"info":"⪲⇎⊺⇮2705=⊺⇮5410","layer":3},{"info":"⊺⇮5410↛⩡⫤=⊺⇮-812999","layer":2},{"info":"↔⊺⇮-812999=⊺⇮-134","layer":1},{"info":"⊺⇮3364%⊺⇮3362=⊺⇮2","layer":3},{"info":"∥⊫⊺⇮2=⊺⇮870","layer":2},{"info":"⊺⇮5721⪨≂⊺⇮2080=⊺⇮7384","layer":3},{"info":"⨵≀≌⊺⇮4958=⊺⇮-14874","layer":3},{"info":"⊺⇮7384⨰⊺⇮-14874=⊺⇮22268","layer":2},{"info":"⊺⇮870⨪↰⇹⊺⇮22268=⊺⇮870","layer":1},{"info":"⊺⇮-134⋳⪒⊺⇮870=⊺⇮-1425","layer":0}]}
{"id":667,"expression_no_base_symbol":"(⫓⪴$2981$)⨰($1981$⊉≛↸$8253$)⩨($1025$-$1775$)⪢($2582$∑⇟⊟$4745$)⪨≂($4775$⫸⊐$1061$+$4976$∑⇟⊟$3115$⪨≂($1312$⨵⪆$2040$)+⇶⊼$2050$⨪↰⇹$6979$)","expression":"(⫓⪴⊺⇮2981)⨰(⊺⇮1981⊉≛↸⊺⇮8253)⩨(⊺⇮1025-⊺⇮1775)⪢(⊺⇮2582∑⇟⊟⊺⇮4745)⪨≂(⊺⇮4775⫸⊐⊺⇮1061+⊺⇮4976∑⇟⊟⊺⇮3115⪨≂(⊺⇮1312⨵⪆⊺⇮2040)+⇶⊼⊺⇮2050⨪↰⇹⊺⇮6979)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5084,"operation_count":15,"complexity_ratio":338.93333333333334,"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":2981,"base":10}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1981,"base":10},"right_expr":{"type":"numeric_atoms","value":8253,"base":10}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1025,"base":10},"right_expr":{"type":"numeric_atoms","value":1775,"base":10}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2582,"base":10},"right_expr":{"type":"numeric_atoms","value":4745,"base":10}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4775,"base":10},"right_expr":{"type":"numeric_atoms","value":1061,"base":10}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":4976,"base":10},"right_expr":{"type":"numeric_atoms","value":3115,"base":10}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1312,"base":10},"right_expr":{"type":"numeric_atoms","value":2040,"base":10}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2050,"base":10},"right_expr":{"type":"numeric_atoms","value":6979,"base":10}}}}},"used_operators":["sdazOOVcIp","2DlMacCsIx","eewbuw0ToL","eLxqMNBOBk","DZ8iAZOCBD","dWAJyo7jo9","rysDP5nf3Z","U7g4x0WXJJ","W4YGzv6Whe","mqXw5SEYmG","TpPTUOHfaN","2DQ55sFlQl","tmPS8pqC7x"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2981","layer":4},{"info":"compute unary expreesion, input=2981, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=8886361","layer":3},{"info":"number node, value=1981","layer":4},{"info":"number node, value=8253","layer":4},{"info":"compute binary expreesion, left_input=1981, right_input=8253, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3962","layer":3},{"info":"compute binary expreesion, left_input=8886361, right_input=3962, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=8882409","layer":2},{"info":"number node, value=1025","layer":4},{"info":"number node, value=1775","layer":4},{"info":"compute binary expreesion, left_input=1025, right_input=1775, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-750","layer":3},{"info":"number node, value=2582","layer":4},{"info":"number node, value=4745","layer":4},{"info":"compute binary expreesion, left_input=2582, right_input=4745, 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=-750, 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=8882409, 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=4775","layer":4},{"info":"number node, value=1061","layer":4},{"info":"compute binary expreesion, left_input=4775, right_input=1061, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4119","layer":3},{"info":"number node, value=4976","layer":4},{"info":"number node, value=3115","layer":4},{"info":"compute binary expreesion, left_input=4976, right_input=3115, 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=4119, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1312","layer":4},{"info":"number node, value=2040","layer":4},{"info":"compute binary expreesion, left_input=1312, right_input=2040, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=2050","layer":4},{"info":"number node, value=6979","layer":4},{"info":"compute binary expreesion, left_input=2050, right_input=6979, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2050","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=2050, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":1},{"info":"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":10,"result_base":10,"text":"(⫓⪴⊺⇮2981)⨰(⊺⇮1981⊉≛↸⊺⇮8253)⩨(⊺⇮1025-⊺⇮1775)⪢(⊺⇮2582∑⇟⊟⊺⇮4745)⪨≂(⊺⇮4775⫸⊐⊺⇮1061+⊺⇮4976∑⇟⊟⊺⇮3115⪨≂(⊺⇮1312⨵⪆⊺⇮2040)+⇶⊼⊺⇮2050⨪↰⇹⊺⇮6979)=NaN","reverse_text":"NaN=(⫓⪴⊺⇮2981)⨰(⊺⇮1981⊉≛↸⊺⇮8253)⩨(⊺⇮1025-⊺⇮1775)⪢(⊺⇮2582∑⇟⊟⊺⇮4745)⪨≂(⊺⇮4775⫸⊐⊺⇮1061+⊺⇮4976∑⇟⊟⊺⇮3115⪨≂(⊺⇮1312⨵⪆⊺⇮2040)+⇶⊼⊺⇮2050⨪↰⇹⊺⇮6979)","cot":[{"info":"⫓⪴⊺⇮2981=⊺⇮8886361","layer":3},{"info":"⊺⇮1981⊉≛↸⊺⇮8253=⊺⇮3962","layer":3},{"info":"⊺⇮8886361⨰⊺⇮3962=⊺⇮8882409","layer":2},{"info":"⊺⇮1025-⊺⇮1775=⊺⇮-750","layer":3},{"info":"⊺⇮2582∑⇟⊟⊺⇮4745=NaN","layer":3},{"info":"⊺⇮-750⪢NaN=NaN","layer":2},{"info":"⊺⇮8882409⩨NaN=NaN","layer":1},{"info":"⊺⇮4775⫸⊐⊺⇮1061=⊺⇮4119","layer":3},{"info":"⊺⇮4976∑⇟⊟⊺⇮3115=NaN","layer":3},{"info":"⊺⇮4119+NaN=NaN","layer":2},{"info":"⊺⇮1312⨵⪆⊺⇮2040=⊺⇮160","layer":3},{"info":"⊺⇮2050⨪↰⇹⊺⇮6979=⊺⇮2050","layer":3},{"info":"⊺⇮160+⇶⊼⊺⇮2050=NaN","layer":2},{"info":"NaN⪨≂NaN=NaN","layer":1},{"info":"NaN⪨≂NaN=NaN","layer":0}]}
{"id":668,"expression_no_base_symbol":"∂(($2516$≎⊠⪸$1887$)≹⇙⪍($2078$∸)⨐⩸⫘($4976$⨽$5771$)⫥∨⫟$6706$↬$1150$)","expression":"∂((⊺⇮2516≎⊠⪸⊺⇮1887)≹⇙⪍(⊺⇮2078∸)⨐⩸⫘(⊺⇮4976⨽⊺⇮5771)⫥∨⫟⊺⇮6706↬⊺⇮1150)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":323897,"operation_count":8,"complexity_ratio":40487.125,"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":2516,"base":10},"right_expr":{"type":"numeric_atoms","value":1887,"base":10}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":2078,"base":10}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4976,"base":10},"right_expr":{"type":"numeric_atoms","value":5771,"base":10}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":6706,"base":10},"right_expr":{"type":"numeric_atoms","value":1150,"base":10}}}}},"used_operators":["Uaa54Peajs","fu6greOZ01","AHs5Up7iyr","bJkvcejdHO","o20kRiQErp","KYD54nUTWz","8HhzD0ZcuI","B5M0gjZbta"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","3ViojmjbAp","dWAJyo7jo9","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","tmPS8pqC7x","8HhzD0ZcuI","rGHVDoGpnC","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2516","layer":4},{"info":"number node, value=1887","layer":4},{"info":"compute binary expreesion, left_input=2516, right_input=1887, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=651171","layer":3},{"info":"number node, value=2078","layer":4},{"info":"compute unary expreesion, input=2078, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=651171, right_input=177, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=4976","layer":4},{"info":"number node, value=5771","layer":4},{"info":"compute binary expreesion, left_input=4976, right_input=5771, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-74297727","layer":3},{"info":"number node, value=6706","layer":4},{"info":"number node, value=1150","layer":4},{"info":"compute binary expreesion, left_input=6706, right_input=1150, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=-74297727, 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 = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = 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":10,"result_base":10,"text":"∂((⊺⇮2516≎⊠⪸⊺⇮1887)≹⇙⪍(⊺⇮2078∸)⨐⩸⫘(⊺⇮4976⨽⊺⇮5771)⫥∨⫟⊺⇮6706↬⊺⇮1150)=NaN","reverse_text":"NaN=∂((⊺⇮2516≎⊠⪸⊺⇮1887)≹⇙⪍(⊺⇮2078∸)⨐⩸⫘(⊺⇮4976⨽⊺⇮5771)⫥∨⫟⊺⇮6706↬⊺⇮1150)","cot":[{"info":"⊺⇮2516≎⊠⪸⊺⇮1887=⊺⇮651171","layer":3},{"info":"⊺⇮2078∸=⊺⇮177","layer":3},{"info":"⊺⇮651171≹⇙⪍⊺⇮177=NaN","layer":2},{"info":"⊺⇮4976⨽⊺⇮5771=⊺⇮-74297727","layer":3},{"info":"⊺⇮6706↬⊺⇮1150=NaN","layer":3},{"info":"⊺⇮-74297727⫥∨⫟NaN=NaN","layer":2},{"info":"NaN⨐⩸⫘NaN=NaN","layer":1},{"info":"∂NaN=NaN","layer":0}]}
{"id":669,"expression_no_base_symbol":"(⨰⫟⨤(∂(↣≠⋷$1480$)))⊭↱((↔$3210$)⨓($4548$⨰$2617$))⨪↰⇹($2549$⨐⩸⫘$3238$⪨≂($4207$⫡⨏$1070$))","expression":"(⨰⫟⨤(∂(↣≠⋷⊺⇮1480)))⊭↱((↔⊺⇮3210)⨓(⊺⇮4548⨰⊺⇮2617))⨪↰⇹(⊺⇮2549⨐⩸⫘⊺⇮3238⪨≂(⊺⇮4207⫡⨏⊺⇮1070))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3956,"operation_count":11,"complexity_ratio":359.6363636363636,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1480,"base":10}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":3210,"base":10}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4548,"base":10},"right_expr":{"type":"numeric_atoms","value":2617,"base":10}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2549,"base":10},"right_expr":{"type":"numeric_atoms","value":3238,"base":10}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4207,"base":10},"right_expr":{"type":"numeric_atoms","value":1070,"base":10}}}}},"used_operators":["COABgblf1C","Tw270M8GLb","Uaa54Peajs","Asc51vEJeQ","tmPS8pqC7x","3ViojmjbAp","ruOEQAzv1W","eewbuw0ToL","sdazOOVcIp","fu6greOZ01","QMFrweE19q"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","XhwjNDsVaA","AHs5Up7iyr","rJVOvQCfKK","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1480","layer":4},{"info":"compute unary expreesion, input=1480, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":2},{"info":"compute 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=3210","layer":4},{"info":"compute unary expreesion, input=3210, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2937","layer":3},{"info":"number node, value=4548","layer":4},{"info":"number node, value=2617","layer":4},{"info":"compute binary expreesion, left_input=4548, right_input=2617, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1941","layer":3},{"info":"compute binary expreesion, left_input=-2937, right_input=1941, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1944","layer":2},{"info":"number node, value=2549","layer":4},{"info":"number node, value=3238","layer":4},{"info":"compute binary expreesion, left_input=2549, right_input=3238, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=4207","layer":4},{"info":"number node, value=1070","layer":4},{"info":"compute binary expreesion, left_input=4207, right_input=1070, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=23958","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=23958, op_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=-1944, 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=-1944","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1944, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⨰⫟⨤(∂(↣≠⋷⊺⇮1480)))⊭↱((↔⊺⇮3210)⨓(⊺⇮4548⨰⊺⇮2617))⨪↰⇹(⊺⇮2549⨐⩸⫘⊺⇮3238⪨≂(⊺⇮4207⫡⨏⊺⇮1070))=NaN","reverse_text":"NaN=(⨰⫟⨤(∂(↣≠⋷⊺⇮1480)))⊭↱((↔⊺⇮3210)⨓(⊺⇮4548⨰⊺⇮2617))⨪↰⇹(⊺⇮2549⨐⩸⫘⊺⇮3238⪨≂(⊺⇮4207⫡⨏⊺⇮1070))","cot":[{"info":"↣≠⋷⊺⇮1480=NaN","layer":3},{"info":"∂NaN=NaN","layer":2},{"info":"⨰⫟⨤NaN=NaN","layer":1},{"info":"↔⊺⇮3210=⊺⇮-2937","layer":3},{"info":"⊺⇮4548⨰⊺⇮2617=⊺⇮1941","layer":3},{"info":"⊺⇮-2937⨓⊺⇮1941=⊺⇮-1944","layer":2},{"info":"⊺⇮2549⨐⩸⫘⊺⇮3238=NaN","layer":3},{"info":"⊺⇮4207⫡⨏⊺⇮1070=⊺⇮23958","layer":3},{"info":"NaN⪨≂⊺⇮23958=NaN","layer":2},{"info":"⊺⇮-1944⨪↰⇹NaN=⊺⇮-1944","layer":1},{"info":"NaN⊭↱⊺⇮-1944=NaN","layer":0}]}
{"id":670,"expression_no_base_symbol":"((-($2845$⊦⊿))⊦⊿)⊉≛↸(⨰⫟⨤((⇁⨣⪵$5399$)∑⇟⊟($1133$≦≮≮)))","expression":"((-(⊺⇮2845⊦⊿))⊦⊿)⊉≛↸(⨰⫟⨤((⇁⨣⪵⊺⇮5399)∑⇟⊟(⊺⇮1133≦≮≮)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":51,"operation_count":8,"complexity_ratio":6.375,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":2845,"base":10}}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":5399,"base":10}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1133,"base":10}}}}},"used_operators":["DZ8iAZOCBD","14qkJME0vr","t8gj7n24qd","Tw270M8GLb","U7g4x0WXJJ","inkyxCbjAn","D4vGDi5EA2"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2845","layer":4},{"info":"compute unary expreesion, input=2845, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-8614","layer":3},{"info":"compute unary expreesion, input=-8614, op_id = t8gj7n24qd, unary_op_definition = 'None', output=8614","layer":2},{"info":"compute unary expreesion, input=8614, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-25921","layer":1},{"info":"number node, value=5399","layer":4},{"info":"compute unary expreesion, input=5399, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=1133","layer":4},{"info":"compute unary expreesion, input=1133, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-3399","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3399, 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 = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-25921, 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":10,"result_base":10,"text":"((-(⊺⇮2845⊦⊿))⊦⊿)⊉≛↸(⨰⫟⨤((⇁⨣⪵⊺⇮5399)∑⇟⊟(⊺⇮1133≦≮≮)))=NaN","reverse_text":"NaN=((-(⊺⇮2845⊦⊿))⊦⊿)⊉≛↸(⨰⫟⨤((⇁⨣⪵⊺⇮5399)∑⇟⊟(⊺⇮1133≦≮≮)))","cot":[{"info":"⊺⇮2845⊦⊿=⊺⇮-8614","layer":3},{"info":"-⊺⇮-8614=⊺⇮8614","layer":2},{"info":"⊺⇮8614⊦⊿=⊺⇮-25921","layer":1},{"info":"⇁⨣⪵⊺⇮5399=NaN","layer":3},{"info":"⊺⇮1133≦≮≮=⊺⇮-3399","layer":3},{"info":"NaN∑⇟⊟⊺⇮-3399=NaN","layer":2},{"info":"⨰⫟⨤NaN=NaN","layer":1},{"info":"⊺⇮-25921⊉≛↸NaN=NaN","layer":0}]}
{"id":671,"expression_no_base_symbol":"⊙↵-(↔(($6432$⇼⇔∾$6875$)⨪↰⇹(⋗⩬⋾$1807$)))","expression":"⊙↵-(↔((⊺⇮6432⇼⇔∾⊺⇮6875)⨪↰⇹(⋗⩬⋾⊺⇮1807)))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":651,"operation_count":5,"complexity_ratio":130.2,"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":6432,"base":10},"right_expr":{"type":"numeric_atoms","value":6875,"base":10}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1807,"base":10}}}}},"used_operators":["oWn0xqSxBt","ruOEQAzv1W","tmPS8pqC7x","tifHPKVTfV","DpFCA1CohY"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6432","layer":4},{"info":"number node, value=6875","layer":4},{"info":"compute binary expreesion, left_input=6432, right_input=6875, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=443","layer":3},{"info":"number node, value=1807","layer":4},{"info":"compute unary expreesion, input=1807, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-5421","layer":3},{"info":"compute binary expreesion, left_input=443, right_input=-5421, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=443","layer":2},{"info":"compute unary expreesion, input=443, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-170","layer":1},{"info":"compute unary expreesion, input=-170, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":0}],"base":10,"result_base":10,"text":"⊙↵-(↔((⊺⇮6432⇼⇔∾⊺⇮6875)⨪↰⇹(⋗⩬⋾⊺⇮1807)))=⊺⇮0","reverse_text":"⊺⇮0=⊙↵-(↔((⊺⇮6432⇼⇔∾⊺⇮6875)⨪↰⇹(⋗⩬⋾⊺⇮1807)))","cot":[{"info":"⊺⇮6432⇼⇔∾⊺⇮6875=⊺⇮443","layer":3},{"info":"⋗⩬⋾⊺⇮1807=⊺⇮-5421","layer":3},{"info":"⊺⇮443⨪↰⇹⊺⇮-5421=⊺⇮443","layer":2},{"info":"↔⊺⇮443=⊺⇮-170","layer":1},{"info":"⊙↵-⊺⇮-170=⊺⇮0","layer":0}]}
{"id":672,"expression_no_base_symbol":"∂((≦∁$1802$)↙(≉$7040$))⨪↰⇹($1336$⨟⋌⩍$7307$⊘)","expression":"∂((≦∁⊺⇮1802)↙(≉⊺⇮7040))⨪↰⇹(⊺⇮1336⨟⋌⩍⊺⇮7307⊘)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":30313,"operation_count":7,"complexity_ratio":4330.428571428572,"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":1802,"base":10}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":7040,"base":10}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1336,"base":10},"right_expr":{"type":"numeric_atoms","value":7307,"base":10}}}}},"used_operators":["Uaa54Peajs","tmPS8pqC7x","yyfyN0ffXY","9ICcGScMcE","e1ybzncUwg","gu96TGCTMs","rGHVDoGpnC"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rJVOvQCfKK","tmPS8pqC7x","DpFCA1CohY","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1802","layer":4},{"info":"compute unary expreesion, input=1802, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1802","layer":3},{"info":"number node, value=7040","layer":4},{"info":"compute unary expreesion, input=7040, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=7571","layer":3},{"info":"compute binary expreesion, left_input=1802, right_input=7571, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-22713","layer":2},{"info":"number node, value=1336","layer":4},{"info":"number node, value=7307","layer":4},{"info":"compute binary expreesion, left_input=1336, right_input=7307, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = 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=-22713, 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=22713","layer":1},{"info":"compute unary expreesion, input=22713, 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":10,"result_base":10,"text":"∂((≦∁⊺⇮1802)↙(≉⊺⇮7040))⨪↰⇹(⊺⇮1336⨟⋌⩍⊺⇮7307⊘)=NaN","reverse_text":"NaN=∂((≦∁⊺⇮1802)↙(≉⊺⇮7040))⨪↰⇹(⊺⇮1336⨟⋌⩍⊺⇮7307⊘)","cot":[{"info":"≦∁⊺⇮1802=⊺⇮1802","layer":3},{"info":"≉⊺⇮7040=⊺⇮7571","layer":3},{"info":"⊺⇮1802↙⊺⇮7571=⊺⇮-22713","layer":2},{"info":"⊺⇮1336⨟⋌⩍⊺⇮7307=NaN","layer":3},{"info":"NaN⊘=NaN","layer":2},{"info":"⊺⇮-22713⨪↰⇹NaN=⊺⇮22713","layer":1},{"info":"∂⊺⇮22713=NaN","layer":0}]}
{"id":673,"expression_no_base_symbol":"($1000$+$2012$⫡⨏$2167$⩚⊴⇥$2868$)⨰((≦∁$1155$)∸)⋓($2305$⪄$2542$⨵⪆$6139$⋳⪒$1271$⨵⪆(≤/$3370$⨓$1342$))","expression":"(⊺⇮1000+⊺⇮2012⫡⨏⊺⇮2167⩚⊴⇥⊺⇮2868)⨰((≦∁⊺⇮1155)∸)⋓(⊺⇮2305⪄⊺⇮2542⨵⪆⊺⇮6139⋳⪒⊺⇮1271⨵⪆(≤/⊺⇮3370⨓⊺⇮1342))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1661,"operation_count":13,"complexity_ratio":127.76923076923077,"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":1000,"base":10},"right_expr":{"type":"numeric_atoms","value":2012,"base":10}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2167,"base":10},"right_expr":{"type":"numeric_atoms","value":2868,"base":10}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1155,"base":10}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2305,"base":10},"right_expr":{"type":"numeric_atoms","value":2542,"base":10}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":6139,"base":10},"right_expr":{"type":"numeric_atoms","value":1271,"base":10}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3370,"base":10},"right_expr":{"type":"numeric_atoms","value":1342,"base":10}}}}},"used_operators":["T2fj7uvVaJ","eewbuw0ToL","QMFrweE19q","W4YGzv6Whe","NTOWxs364D","o20kRiQErp","9ICcGScMcE","2DQ55sFlQl","SUmda5xLS4","12rbrZMWeM","eLAdDNolq6","3ViojmjbAp"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","tmPS8pqC7x","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1000","layer":4},{"info":"number node, value=2012","layer":4},{"info":"compute binary expreesion, left_input=1000, right_input=2012, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3012","layer":3},{"info":"number node, value=2167","layer":4},{"info":"number node, value=2868","layer":4},{"info":"compute binary expreesion, left_input=2167, right_input=2868, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5156","layer":3},{"info":"compute binary expreesion, left_input=3012, right_input=-5156, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=5531","layer":2},{"info":"number node, value=1155","layer":4},{"info":"compute unary expreesion, input=1155, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1155","layer":3},{"info":"compute unary expreesion, input=1155, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"compute binary expreesion, left_input=5531, right_input=177, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=5364","layer":1},{"info":"number node, value=2305","layer":4},{"info":"number node, value=2542","layer":4},{"info":"compute binary expreesion, left_input=2305, right_input=2542, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-347397","layer":3},{"info":"number node, value=6139","layer":4},{"info":"number node, value=1271","layer":4},{"info":"compute binary expreesion, left_input=6139, right_input=1271, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=10720","layer":3},{"info":"compute binary expreesion, left_input=-347397, right_input=10720, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=3370","layer":4},{"info":"number node, value=1342","layer":4},{"info":"compute binary expreesion, left_input=3370, right_input=1342, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1345","layer":3},{"info":"compute unary expreesion, input=-1345, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=1829","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=1829, 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=5364, right_input=160, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1000+⊺⇮2012⫡⨏⊺⇮2167⩚⊴⇥⊺⇮2868)⨰((≦∁⊺⇮1155)∸)⋓(⊺⇮2305⪄⊺⇮2542⨵⪆⊺⇮6139⋳⪒⊺⇮1271⨵⪆(≤/⊺⇮3370⨓⊺⇮1342))=⊺⇮0","reverse_text":"⊺⇮0=(⊺⇮1000+⊺⇮2012⫡⨏⊺⇮2167⩚⊴⇥⊺⇮2868)⨰((≦∁⊺⇮1155)∸)⋓(⊺⇮2305⪄⊺⇮2542⨵⪆⊺⇮6139⋳⪒⊺⇮1271⨵⪆(≤/⊺⇮3370⨓⊺⇮1342))","cot":[{"info":"⊺⇮1000+⊺⇮2012=⊺⇮3012","layer":3},{"info":"⊺⇮2167⩚⊴⇥⊺⇮2868=⊺⇮-5156","layer":3},{"info":"⊺⇮3012⫡⨏⊺⇮-5156=⊺⇮5531","layer":2},{"info":"≦∁⊺⇮1155=⊺⇮1155","layer":3},{"info":"⊺⇮1155∸=⊺⇮177","layer":2},{"info":"⊺⇮5531⨰⊺⇮177=⊺⇮5364","layer":1},{"info":"⊺⇮2305⪄⊺⇮2542=⊺⇮-347397","layer":3},{"info":"⊺⇮6139⋳⪒⊺⇮1271=⊺⇮10720","layer":3},{"info":"⊺⇮-347397⨵⪆⊺⇮10720=⊺⇮160","layer":2},{"info":"⊺⇮3370⨓⊺⇮1342=⊺⇮-1345","layer":3},{"info":"≤/⊺⇮-1345=⊺⇮1829","layer":2},{"info":"⊺⇮160⨵⪆⊺⇮1829=⊺⇮160","layer":1},{"info":"⊺⇮5364⋓⊺⇮160=⊺⇮0","layer":0}]}
{"id":674,"expression_no_base_symbol":"⊙↵-((⨑⩽⪐$4253$⇷$6351$)⋷($3754$⪨≂$1892$)⊭↱($1202$⪐))","expression":"⊙↵-((⨑⩽⪐⊺⇮4253⇷⊺⇮6351)⋷(⊺⇮3754⪨≂⊺⇮1892)⊭↱(⊺⇮1202⪐))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":84471,"operation_count":7,"complexity_ratio":12067.285714285714,"tree":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4253,"base":10},"right_expr":{"type":"numeric_atoms","value":6351,"base":10}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3754,"base":10},"right_expr":{"type":"numeric_atoms","value":1892,"base":10}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1202,"base":10}}}}},"used_operators":["oWn0xqSxBt","23Mk6UjR3U","AF7qkfDlqP","mp7IySMOzn","COABgblf1C","sdazOOVcIp","eH2TOUuTDT"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮-1","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4253","layer":4},{"info":"number node, value=6351","layer":4},{"info":"compute binary expreesion, left_input=4253, right_input=6351, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=12702","layer":3},{"info":"compute unary expreesion, input=12702, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-12429","layer":2},{"info":"number node, value=3754","layer":4},{"info":"number node, value=1892","layer":4},{"info":"compute binary expreesion, left_input=3754, right_input=1892, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=3826","layer":3},{"info":"number node, value=1202","layer":4},{"info":"compute unary expreesion, input=1202, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2404","layer":3},{"info":"compute binary expreesion, left_input=3826, right_input=2404, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-2839","layer":2},{"info":"compute binary expreesion, left_input=-12429, right_input=-2839, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=24858","layer":1},{"info":"compute unary expreesion, input=24858, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":0}],"base":10,"result_base":10,"text":"⊙↵-((⨑⩽⪐⊺⇮4253⇷⊺⇮6351)⋷(⊺⇮3754⪨≂⊺⇮1892)⊭↱(⊺⇮1202⪐))=⊺⇮-1","reverse_text":"⊺⇮-1=⊙↵-((⨑⩽⪐⊺⇮4253⇷⊺⇮6351)⋷(⊺⇮3754⪨≂⊺⇮1892)⊭↱(⊺⇮1202⪐))","cot":[{"info":"⊺⇮4253⇷⊺⇮6351=⊺⇮12702","layer":3},{"info":"⨑⩽⪐⊺⇮12702=⊺⇮-12429","layer":2},{"info":"⊺⇮3754⪨≂⊺⇮1892=⊺⇮3826","layer":3},{"info":"⊺⇮1202⪐=⊺⇮2404","layer":3},{"info":"⊺⇮3826⊭↱⊺⇮2404=⊺⇮-2839","layer":2},{"info":"⊺⇮-12429⋷⊺⇮-2839=⊺⇮24858","layer":1},{"info":"⊙↵-⊺⇮24858=⊺⇮-1","layer":0}]}
{"id":675,"expression_no_base_symbol":"(($1168$%$1176$)⨟⋌⩍(⫓⪴$3922$)⨵⪆(⫓⪴$4075$)↙($4936$⨸⪁$2172$))+⇶⊼((($3560$⫡⨏$3619$)⨳⩥⨓$3215$⨐⩸⫘$1012$)⊘)","expression":"((⊺⇮1168%⊺⇮1176)⨟⋌⩍(⫓⪴⊺⇮3922)⨵⪆(⫓⪴⊺⇮4075)↙(⊺⇮4936⨸⪁⊺⇮2172))+⇶⊼(((⊺⇮3560⫡⨏⊺⇮3619)⨳⩥⨓⊺⇮3215⨐⩸⫘⊺⇮1012)⊘)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":22255,"operation_count":12,"complexity_ratio":1854.5833333333333,"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":1168,"base":10},"right_expr":{"type":"numeric_atoms","value":1176,"base":10}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":3922,"base":10}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":4075,"base":10}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4936,"base":10},"right_expr":{"type":"numeric_atoms","value":2172,"base":10}}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3560,"base":10},"right_expr":{"type":"numeric_atoms","value":3619,"base":10}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3215,"base":10},"right_expr":{"type":"numeric_atoms","value":1012,"base":10}}}}},"used_operators":["TpPTUOHfaN","2DQ55sFlQl","rGHVDoGpnC","k8jYdgA6NY","eLxqMNBOBk","yyfyN0ffXY","g55IO6H4Gj","gu96TGCTMs","nCS4ZIUYfx","QMFrweE19q","fu6greOZ01"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","9HNa5Wba9A","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1168","layer":4},{"info":"number node, value=1176","layer":4},{"info":"compute binary expreesion, left_input=1168, right_input=1176, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1168","layer":3},{"info":"number node, value=3922","layer":4},{"info":"compute unary expreesion, input=3922, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=15382084","layer":3},{"info":"compute binary expreesion, left_input=1168, right_input=15382084, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=4075","layer":4},{"info":"compute unary expreesion, input=4075, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=16605625","layer":3},{"info":"number node, value=4936","layer":4},{"info":"number node, value=2172","layer":4},{"info":"compute binary expreesion, left_input=4936, right_input=2172, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=14216","layer":3},{"info":"compute binary expreesion, left_input=16605625, right_input=14216, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-42648","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-42648, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=3560","layer":4},{"info":"number node, value=3619","layer":4},{"info":"compute binary expreesion, left_input=3560, right_input=3619, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=25821","layer":3},{"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 = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=25821, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 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=160, 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":10,"result_base":10,"text":"((⊺⇮1168%⊺⇮1176)⨟⋌⩍(⫓⪴⊺⇮3922)⨵⪆(⫓⪴⊺⇮4075)↙(⊺⇮4936⨸⪁⊺⇮2172))+⇶⊼(((⊺⇮3560⫡⨏⊺⇮3619)⨳⩥⨓⊺⇮3215⨐⩸⫘⊺⇮1012)⊘)=NaN","reverse_text":"NaN=((⊺⇮1168%⊺⇮1176)⨟⋌⩍(⫓⪴⊺⇮3922)⨵⪆(⫓⪴⊺⇮4075)↙(⊺⇮4936⨸⪁⊺⇮2172))+⇶⊼(((⊺⇮3560⫡⨏⊺⇮3619)⨳⩥⨓⊺⇮3215⨐⩸⫘⊺⇮1012)⊘)","cot":[{"info":"⊺⇮1168%⊺⇮1176=⊺⇮1168","layer":3},{"info":"⫓⪴⊺⇮3922=⊺⇮15382084","layer":3},{"info":"⊺⇮1168⨟⋌⩍⊺⇮15382084=NaN","layer":2},{"info":"⫓⪴⊺⇮4075=⊺⇮16605625","layer":3},{"info":"⊺⇮4936⨸⪁⊺⇮2172=⊺⇮14216","layer":3},{"info":"⊺⇮16605625↙⊺⇮14216=⊺⇮-42648","layer":2},{"info":"NaN⨵⪆⊺⇮-42648=⊺⇮160","layer":1},{"info":"⊺⇮3560⫡⨏⊺⇮3619=⊺⇮25821","layer":3},{"info":"⊺⇮3215⨐⩸⫘⊺⇮1012=NaN","layer":3},{"info":"⊺⇮25821⨳⩥⨓NaN=NaN","layer":2},{"info":"NaN⊘=NaN","layer":1},{"info":"⊺⇮160+⇶⊼NaN=NaN","layer":0}]}
{"id":676,"expression_no_base_symbol":"(($7888$-$1354$)⪘⫢($2624$⫡⨏$1378$)⊠≄⫣)⨵⪆(($7401$⋓$1161$↛⩡⫤)⋷$1941$⩨$1429$⨸⪁$1954$⫸⊐$2256$)","expression":"((⊺⇮7888-⊺⇮1354)⪘⫢(⊺⇮2624⫡⨏⊺⇮1378)⊠≄⫣)⨵⪆((⊺⇮7401⋓⊺⇮1161↛⩡⫤)⋷⊺⇮1941⩨⊺⇮1429⨸⪁⊺⇮1954⫸⊐⊺⇮2256)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":139,"operation_count":11,"complexity_ratio":12.636363636363637,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":7888,"base":10},"right_expr":{"type":"numeric_atoms","value":1354,"base":10}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2624,"base":10},"right_expr":{"type":"numeric_atoms","value":1378,"base":10}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":7401,"base":10},"right_expr":{"type":"numeric_atoms","value":1161,"base":10}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1941,"base":10},"right_expr":{"type":"numeric_atoms","value":1429,"base":10}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1954,"base":10},"right_expr":{"type":"numeric_atoms","value":2256,"base":10}}}}},"used_operators":["2DQ55sFlQl","DIvbN7qnHd","oacrs7FA3X","rysDP5nf3Z","QMFrweE19q","23Mk6UjR3U","FU0Cs4j7VP","T2fj7uvVaJ","g55IO6H4Gj","2DlMacCsIx","mqXw5SEYmG"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⊺⇮160","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7888","layer":4},{"info":"number node, value=1354","layer":4},{"info":"compute binary expreesion, left_input=7888, right_input=1354, op_id = rysDP5nf3Z binary_op_definition= 'None', output=6534","layer":3},{"info":"number node, value=2624","layer":4},{"info":"number node, value=1378","layer":4},{"info":"compute binary expreesion, left_input=2624, right_input=1378, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=16659","layer":3},{"info":"compute binary expreesion, left_input=6534, right_input=16659, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=12944","layer":2},{"info":"compute unary expreesion, input=12944, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"number node, value=7401","layer":4},{"info":"number node, value=1161","layer":4},{"info":"compute binary expreesion, left_input=7401, right_input=1161, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=0","layer":2},{"info":"number node, value=1941","layer":4},{"info":"number node, value=1429","layer":4},{"info":"compute binary expreesion, left_input=1941, right_input=1429, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=1954","layer":4},{"info":"number node, value=2256","layer":4},{"info":"compute binary expreesion, left_input=1954, right_input=2256, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=8899","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=8899, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=17798","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=17798, 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=0, right_input=0, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮7888-⊺⇮1354)⪘⫢(⊺⇮2624⫡⨏⊺⇮1378)⊠≄⫣)⨵⪆((⊺⇮7401⋓⊺⇮1161↛⩡⫤)⋷⊺⇮1941⩨⊺⇮1429⨸⪁⊺⇮1954⫸⊐⊺⇮2256)=⊺⇮160","reverse_text":"⊺⇮160=((⊺⇮7888-⊺⇮1354)⪘⫢(⊺⇮2624⫡⨏⊺⇮1378)⊠≄⫣)⨵⪆((⊺⇮7401⋓⊺⇮1161↛⩡⫤)⋷⊺⇮1941⩨⊺⇮1429⨸⪁⊺⇮1954⫸⊐⊺⇮2256)","cot":[{"info":"⊺⇮7888-⊺⇮1354=⊺⇮6534","layer":3},{"info":"⊺⇮2624⫡⨏⊺⇮1378=⊺⇮16659","layer":3},{"info":"⊺⇮6534⪘⫢⊺⇮16659=⊺⇮12944","layer":2},{"info":"⊺⇮12944⊠≄⫣=⊺⇮0","layer":1},{"info":"⊺⇮7401⋓⊺⇮1161=⊺⇮0","layer":3},{"info":"⊺⇮0↛⩡⫤=⊺⇮0","layer":2},{"info":"⊺⇮1941⩨⊺⇮1429=⊺⇮0","layer":3},{"info":"⊺⇮1954⫸⊐⊺⇮2256=⊺⇮8899","layer":3},{"info":"⊺⇮0⨸⪁⊺⇮8899=⊺⇮17798","layer":2},{"info":"⊺⇮0⋷⊺⇮17798=⊺⇮0","layer":1},{"info":"⊺⇮0⨵⪆⊺⇮0=⊺⇮160","layer":0}]}
{"id":677,"expression_no_base_symbol":"($1902$*$1571$)⫥∨⫟$5869$⪮%⊝$4709$⪄($1599$∧)≧⫂∧($4583$⋳⪒$2393$)*(($7465$∲⫓$3717$)-$1840$↬$1764$↪⪝)","expression":"(⊺⇮1902*⊺⇮1571)⫥∨⫟⊺⇮5869⪮%⊝⊺⇮4709⪄(⊺⇮1599∧)≧⫂∧(⊺⇮4583⋳⪒⊺⇮2393)*((⊺⇮7465∲⫓⊺⇮3717)-⊺⇮1840↬⊺⇮1764↪⪝)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1780,"operation_count":12,"complexity_ratio":148.33333333333334,"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":1902,"base":10},"right_expr":{"type":"numeric_atoms","value":1571,"base":10}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":5869,"base":10},"right_expr":{"type":"numeric_atoms","value":4709,"base":10}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1599,"base":10}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":4583,"base":10},"right_expr":{"type":"numeric_atoms","value":2393,"base":10}}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":7465,"base":10},"right_expr":{"type":"numeric_atoms","value":3717,"base":10}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1840,"base":10},"right_expr":{"type":"numeric_atoms","value":1764,"base":10}}}}},"used_operators":["9HNa5Wba9A","SUmda5xLS4","KYD54nUTWz","IWmyXbctLI","Ph9nP6C5qx","z63VuFQld9","12rbrZMWeM","l07mrZUIn9","rysDP5nf3Z","i8ToyICDmI","B5M0gjZbta"],"dependent_operators":["W4YGzv6Whe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","8HhzD0ZcuI","rGHVDoGpnC","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1902","layer":4},{"info":"number node, value=1571","layer":4},{"info":"compute binary expreesion, left_input=1902, right_input=1571, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2988042","layer":3},{"info":"number node, value=5869","layer":4},{"info":"number node, value=4709","layer":4},{"info":"compute binary expreesion, left_input=5869, right_input=4709, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=12054","layer":3},{"info":"compute binary expreesion, left_input=2988042, right_input=12054, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1599","layer":4},{"info":"compute unary expreesion, input=1599, 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=4583","layer":4},{"info":"number node, value=2393","layer":4},{"info":"compute binary expreesion, left_input=4583, right_input=2393, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=6486","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6486, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=6013","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=6013, 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=7465","layer":4},{"info":"number node, value=3717","layer":4},{"info":"compute binary expreesion, left_input=7465, right_input=3717, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1840","layer":4},{"info":"number node, value=1764","layer":4},{"info":"compute binary expreesion, left_input=1840, right_input=1764, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3979, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1902*⊺⇮1571)⫥∨⫟⊺⇮5869⪮%⊝⊺⇮4709⪄(⊺⇮1599∧)≧⫂∧(⊺⇮4583⋳⪒⊺⇮2393)*((⊺⇮7465∲⫓⊺⇮3717)-⊺⇮1840↬⊺⇮1764↪⪝)=NaN","reverse_text":"NaN=(⊺⇮1902*⊺⇮1571)⫥∨⫟⊺⇮5869⪮%⊝⊺⇮4709⪄(⊺⇮1599∧)≧⫂∧(⊺⇮4583⋳⪒⊺⇮2393)*((⊺⇮7465∲⫓⊺⇮3717)-⊺⇮1840↬⊺⇮1764↪⪝)","cot":[{"info":"⊺⇮1902*⊺⇮1571=⊺⇮2988042","layer":3},{"info":"⊺⇮5869⪮%⊝⊺⇮4709=⊺⇮12054","layer":3},{"info":"⊺⇮2988042⫥∨⫟⊺⇮12054=NaN","layer":2},{"info":"⊺⇮1599∧=NaN","layer":3},{"info":"⊺⇮4583⋳⪒⊺⇮2393=⊺⇮6486","layer":3},{"info":"NaN≧⫂∧⊺⇮6486=⊺⇮6013","layer":2},{"info":"NaN⪄⊺⇮6013=⊺⇮3979","layer":1},{"info":"⊺⇮7465∲⫓⊺⇮3717=⊺⇮0","layer":3},{"info":"⊺⇮1840↬⊺⇮1764=NaN","layer":3},{"info":"⊺⇮0-NaN=NaN","layer":2},{"info":"NaN↪⪝=NaN","layer":1},{"info":"⊺⇮3979*NaN=NaN","layer":0}]}
{"id":678,"expression_no_base_symbol":"(≉(↥$5182$)≧⫂∧($1678$⩷∴$1894$))⪢(↽≂((⊙↵-$1012$)⊦⊿))","expression":"(≉(↥⊺⇮5182)≧⫂∧(⊺⇮1678⩷∴⊺⇮1894))⪢(↽≂((⊙↵-⊺⇮1012)⊦⊿))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1343,"operation_count":8,"complexity_ratio":167.875,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":5182,"base":10}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1678,"base":10},"right_expr":{"type":"numeric_atoms","value":1894,"base":10}}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1012,"base":10}}}}},"used_operators":["dWAJyo7jo9","e1ybzncUwg","Ph9nP6C5qx","A8NUZmVepG","9FxExcQeMw","u6S6b8DprG","14qkJME0vr","oWn0xqSxBt"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5182","layer":4},{"info":"compute unary expreesion, input=5182, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=31","layer":3},{"info":"number node, value=1678","layer":4},{"info":"number node, value=1894","layer":4},{"info":"compute binary expreesion, left_input=1678, right_input=1894, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-464","layer":3},{"info":"compute binary expreesion, left_input=31, right_input=-464, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=495","layer":2},{"info":"compute unary expreesion, input=495, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1026","layer":1},{"info":"number node, value=1012","layer":4},{"info":"compute unary expreesion, input=1012, 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 = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-76","layer":2},{"info":"compute unary expreesion, input=-76, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=152","layer":1},{"info":"compute binary expreesion, left_input=1026, right_input=152, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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":10,"result_base":10,"text":"(≉(↥⊺⇮5182)≧⫂∧(⊺⇮1678⩷∴⊺⇮1894))⪢(↽≂((⊙↵-⊺⇮1012)⊦⊿))=NaN","reverse_text":"NaN=(≉(↥⊺⇮5182)≧⫂∧(⊺⇮1678⩷∴⊺⇮1894))⪢(↽≂((⊙↵-⊺⇮1012)⊦⊿))","cot":[{"info":"↥⊺⇮5182=⊺⇮31","layer":3},{"info":"⊺⇮1678⩷∴⊺⇮1894=⊺⇮-464","layer":3},{"info":"⊺⇮31≧⫂∧⊺⇮-464=⊺⇮495","layer":2},{"info":"≉⊺⇮495=⊺⇮1026","layer":1},{"info":"⊙↵-⊺⇮1012=⊺⇮-1","layer":3},{"info":"⊺⇮-1⊦⊿=⊺⇮-76","layer":2},{"info":"↽≂⊺⇮-76=⊺⇮152","layer":1},{"info":"⊺⇮1026⪢⊺⇮152=NaN","layer":0}]}
{"id":679,"expression_no_base_symbol":"(↽≂(↯⪼$1013$)≧⫂∧$7543$⪘⫢$1051$)⋓((↩$1709$)⨪↰⇹($1855$⋓$4041$))≹⇙⪍((⊥$3256$)⩨$3601$⋥≓≎$1567$)","expression":"(↽≂(↯⪼⊺⇮1013)≧⫂∧⊺⇮7543⪘⫢⊺⇮1051)⋓((↩⊺⇮1709)⨪↰⇹(⊺⇮1855⋓⊺⇮4041))≹⇙⪍((⊥⊺⇮3256)⩨⊺⇮3601⋥≓≎⊺⇮1567)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":10994,"operation_count":12,"complexity_ratio":916.1666666666666,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1013,"base":10}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":7543,"base":10},"right_expr":{"type":"numeric_atoms","value":1051,"base":10}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1709,"base":10}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1855,"base":10},"right_expr":{"type":"numeric_atoms","value":4041,"base":10}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":3256,"base":10}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3601,"base":10},"right_expr":{"type":"numeric_atoms","value":1567,"base":10}}}}},"used_operators":["T2fj7uvVaJ","u6S6b8DprG","Ph9nP6C5qx","8jW3W4yZS5","oacrs7FA3X","AHs5Up7iyr","tmPS8pqC7x","jLgFTUHLKL","2DlMacCsIx","Q3PJZHRvZv","Qy55tPpLXF"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","dWAJyo7jo9","rJVOvQCfKK","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","fu6greOZ01","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1013","layer":4},{"info":"compute unary expreesion, input=1013, 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=7543","layer":4},{"info":"number node, value=1051","layer":4},{"info":"compute binary expreesion, left_input=7543, right_input=1051, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=14962","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=14962, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=14489","layer":2},{"info":"compute unary expreesion, input=14489, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-28978","layer":1},{"info":"number node, value=1709","layer":4},{"info":"compute unary expreesion, input=1709, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-10892","layer":3},{"info":"number node, value=1855","layer":4},{"info":"number node, value=4041","layer":4},{"info":"compute binary expreesion, left_input=1855, 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":3},{"info":"compute binary expreesion, left_input=-10892, 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=-10892","layer":2},{"info":"number node, value=3256","layer":4},{"info":"compute unary expreesion, input=3256, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=3601","layer":4},{"info":"number node, value=1567","layer":4},{"info":"compute binary expreesion, left_input=3601, right_input=1567, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-434","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-434, 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=-10892, 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=-28978, 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":10,"result_base":10,"text":"(↽≂(↯⪼⊺⇮1013)≧⫂∧⊺⇮7543⪘⫢⊺⇮1051)⋓((↩⊺⇮1709)⨪↰⇹(⊺⇮1855⋓⊺⇮4041))≹⇙⪍((⊥⊺⇮3256)⩨⊺⇮3601⋥≓≎⊺⇮1567)=NaN","reverse_text":"NaN=(↽≂(↯⪼⊺⇮1013)≧⫂∧⊺⇮7543⪘⫢⊺⇮1051)⋓((↩⊺⇮1709)⨪↰⇹(⊺⇮1855⋓⊺⇮4041))≹⇙⪍((⊥⊺⇮3256)⩨⊺⇮3601⋥≓≎⊺⇮1567)","cot":[{"info":"↯⪼⊺⇮1013=⊺⇮-21","layer":3},{"info":"⊺⇮7543⪘⫢⊺⇮1051=⊺⇮14962","layer":3},{"info":"⊺⇮-21≧⫂∧⊺⇮14962=⊺⇮14489","layer":2},{"info":"↽≂⊺⇮14489=⊺⇮-28978","layer":1},{"info":"↩⊺⇮1709=⊺⇮-10892","layer":3},{"info":"⊺⇮1855⋓⊺⇮4041=⊺⇮0","layer":3},{"info":"⊺⇮-10892⨪↰⇹⊺⇮0=⊺⇮-10892","layer":2},{"info":"⊥⊺⇮3256=NaN","layer":3},{"info":"⊺⇮3601⋥≓≎⊺⇮1567=⊺⇮-434","layer":3},{"info":"NaN⩨⊺⇮-434=NaN","layer":2},{"info":"⊺⇮-10892≹⇙⪍NaN=NaN","layer":1},{"info":"⊺⇮-28978⋓NaN=NaN","layer":0}]}
{"id":680,"expression_no_base_symbol":"(($6976$⇼⇔∾$6283$)⪮%⊝($6650$⩚⊴⇥$1555$)+(↽≂$1548$)%$2693$⨳⩥⨓$2665$)⨐⩸⫘(($3551$%$3712$)⪮%⊝($2633$∸)⫸⊐($3648$≭$1698$⨸⪁$9217$∼$2017$))","expression":"((⊺⇮6976⇼⇔∾⊺⇮6283)⪮%⊝(⊺⇮6650⩚⊴⇥⊺⇮1555)+(↽≂⊺⇮1548)%⊺⇮2693⨳⩥⨓⊺⇮2665)⨐⩸⫘((⊺⇮3551%⊺⇮3712)⪮%⊝(⊺⇮2633∸)⫸⊐(⊺⇮3648≭⊺⇮1698⨸⪁⊺⇮9217∼⊺⇮2017))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":527,"operation_count":15,"complexity_ratio":35.13333333333333,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":6976,"base":10},"right_expr":{"type":"numeric_atoms","value":6283,"base":10}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":6650,"base":10},"right_expr":{"type":"numeric_atoms","value":1555,"base":10}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1548,"base":10}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2693,"base":10},"right_expr":{"type":"numeric_atoms","value":2665,"base":10}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3551,"base":10},"right_expr":{"type":"numeric_atoms","value":3712,"base":10}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":2633,"base":10}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3648,"base":10},"right_expr":{"type":"numeric_atoms","value":1698,"base":10}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":9217,"base":10},"right_expr":{"type":"numeric_atoms","value":2017,"base":10}}}}},"used_operators":["fu6greOZ01","W4YGzv6Whe","IWmyXbctLI","tifHPKVTfV","NTOWxs364D","k8jYdgA6NY","u6S6b8DprG","nCS4ZIUYfx","mqXw5SEYmG","o20kRiQErp","g55IO6H4Gj","rxpJgHHUmx","DyGG3AbaNP"],"dependent_operators":["3ViojmjbAp","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","tmPS8pqC7x","W4YGzv6Whe","AHs5Up7iyr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6976","layer":4},{"info":"number node, value=6283","layer":4},{"info":"compute binary expreesion, left_input=6976, right_input=6283, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-693","layer":3},{"info":"number node, value=6650","layer":4},{"info":"number node, value=1555","layer":4},{"info":"compute binary expreesion, left_input=6650, right_input=1555, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8326","layer":3},{"info":"compute binary expreesion, left_input=-693, right_input=-8326, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-1070","layer":2},{"info":"number node, value=1548","layer":4},{"info":"compute unary expreesion, input=1548, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-3096","layer":3},{"info":"number node, value=2693","layer":4},{"info":"number node, value=2665","layer":4},{"info":"compute binary expreesion, left_input=2693, right_input=2665, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-28","layer":3},{"info":"compute binary expreesion, left_input=-3096, right_input=-28, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-16","layer":2},{"info":"compute binary expreesion, left_input=-1070, right_input=-16, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-1086","layer":1},{"info":"number node, value=3551","layer":4},{"info":"number node, value=3712","layer":4},{"info":"compute binary expreesion, left_input=3551, right_input=3712, op_id = k8jYdgA6NY binary_op_definition= 'None', output=3551","layer":3},{"info":"number node, value=2633","layer":4},{"info":"compute unary expreesion, input=2633, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=3551, right_input=177, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=7418","layer":2},{"info":"number node, value=3648","layer":4},{"info":"number node, value=1698","layer":4},{"info":"compute binary expreesion, left_input=3648, right_input=1698, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=9217","layer":4},{"info":"number node, value=2017","layer":4},{"info":"compute binary expreesion, left_input=9217, right_input=2017, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=7418, 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=-1086, 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":10,"result_base":10,"text":"((⊺⇮6976⇼⇔∾⊺⇮6283)⪮%⊝(⊺⇮6650⩚⊴⇥⊺⇮1555)+(↽≂⊺⇮1548)%⊺⇮2693⨳⩥⨓⊺⇮2665)⨐⩸⫘((⊺⇮3551%⊺⇮3712)⪮%⊝(⊺⇮2633∸)⫸⊐(⊺⇮3648≭⊺⇮1698⨸⪁⊺⇮9217∼⊺⇮2017))=NaN","reverse_text":"NaN=((⊺⇮6976⇼⇔∾⊺⇮6283)⪮%⊝(⊺⇮6650⩚⊴⇥⊺⇮1555)+(↽≂⊺⇮1548)%⊺⇮2693⨳⩥⨓⊺⇮2665)⨐⩸⫘((⊺⇮3551%⊺⇮3712)⪮%⊝(⊺⇮2633∸)⫸⊐(⊺⇮3648≭⊺⇮1698⨸⪁⊺⇮9217∼⊺⇮2017))","cot":[{"info":"⊺⇮6976⇼⇔∾⊺⇮6283=⊺⇮-693","layer":3},{"info":"⊺⇮6650⩚⊴⇥⊺⇮1555=⊺⇮-8326","layer":3},{"info":"⊺⇮-693⪮%⊝⊺⇮-8326=⊺⇮-1070","layer":2},{"info":"↽≂⊺⇮1548=⊺⇮-3096","layer":3},{"info":"⊺⇮2693⨳⩥⨓⊺⇮2665=⊺⇮-28","layer":3},{"info":"⊺⇮-3096%⊺⇮-28=⊺⇮-16","layer":2},{"info":"⊺⇮-1070+⊺⇮-16=⊺⇮-1086","layer":1},{"info":"⊺⇮3551%⊺⇮3712=⊺⇮3551","layer":3},{"info":"⊺⇮2633∸=⊺⇮177","layer":3},{"info":"⊺⇮3551⪮%⊝⊺⇮177=⊺⇮7418","layer":2},{"info":"⊺⇮3648≭⊺⇮1698=NaN","layer":3},{"info":"⊺⇮9217∼⊺⇮2017=NaN","layer":3},{"info":"NaN⨸⪁NaN=NaN","layer":2},{"info":"⊺⇮7418⫸⊐NaN=NaN","layer":1},{"info":"⊺⇮-1086⨐⩸⫘NaN=NaN","layer":0}]}
{"id":681,"expression_no_base_symbol":"(($7939$⩷∴$5453$⫸⊐($2894$⊦⊿))⨳⩥⨓($5359$*$1361$+$8139$⋳⪒$1173$))⪢((↩($1073$↛⩡⫤))⪨≂((⪲⇎$2554$)≣⋋))","expression":"((⊺⇮7939⩷∴⊺⇮5453⫸⊐(⊺⇮2894⊦⊿))⨳⩥⨓(⊺⇮5359*⊺⇮1361+⊺⇮8139⋳⪒⊺⇮1173))⪢((↩(⊺⇮1073↛⩡⫤))⪨≂((⪲⇎⊺⇮2554)≣⋋))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5301,"operation_count":13,"complexity_ratio":407.7692307692308,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":7939,"base":10},"right_expr":{"type":"numeric_atoms","value":5453,"base":10}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":2894,"base":10}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":5359,"base":10},"right_expr":{"type":"numeric_atoms","value":1361,"base":10}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":8139,"base":10},"right_expr":{"type":"numeric_atoms","value":1173,"base":10}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1073,"base":10}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":2554,"base":10}}}}},"used_operators":["dWAJyo7jo9","nCS4ZIUYfx","mqXw5SEYmG","9FxExcQeMw","14qkJME0vr","W4YGzv6Whe","9HNa5Wba9A","12rbrZMWeM","sdazOOVcIp","jLgFTUHLKL","FU0Cs4j7VP","Tcnh7f0tEr","XPYlsWDdGa"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7939","layer":4},{"info":"number node, value=5453","layer":4},{"info":"compute binary expreesion, left_input=7939, right_input=5453, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=4940","layer":3},{"info":"number node, value=2894","layer":4},{"info":"compute unary expreesion, input=2894, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-8761","layer":3},{"info":"compute binary expreesion, left_input=4940, right_input=-8761, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-17651","layer":2},{"info":"number node, value=5359","layer":4},{"info":"number node, value=1361","layer":4},{"info":"compute binary expreesion, left_input=5359, right_input=1361, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=7293599","layer":3},{"info":"number node, value=8139","layer":4},{"info":"number node, value=1173","layer":4},{"info":"compute binary expreesion, left_input=8139, right_input=1173, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=14818","layer":3},{"info":"compute binary expreesion, left_input=7293599, right_input=14818, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7308417","layer":2},{"info":"compute binary expreesion, left_input=-17651, right_input=7308417, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=7326068","layer":1},{"info":"number node, value=1073","layer":4},{"info":"compute unary expreesion, input=1073, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-158112","layer":3},{"info":"compute unary expreesion, input=-158112, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=635068","layer":2},{"info":"number node, value=2554","layer":4},{"info":"compute unary expreesion, input=2554, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=5108","layer":3},{"info":"compute unary expreesion, input=5108, 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=635068, 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=1270238","layer":1},{"info":"compute binary expreesion, left_input=7326068, right_input=1270238, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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":10,"result_base":10,"text":"((⊺⇮7939⩷∴⊺⇮5453⫸⊐(⊺⇮2894⊦⊿))⨳⩥⨓(⊺⇮5359*⊺⇮1361+⊺⇮8139⋳⪒⊺⇮1173))⪢((↩(⊺⇮1073↛⩡⫤))⪨≂((⪲⇎⊺⇮2554)≣⋋))=NaN","reverse_text":"NaN=((⊺⇮7939⩷∴⊺⇮5453⫸⊐(⊺⇮2894⊦⊿))⨳⩥⨓(⊺⇮5359*⊺⇮1361+⊺⇮8139⋳⪒⊺⇮1173))⪢((↩(⊺⇮1073↛⩡⫤))⪨≂((⪲⇎⊺⇮2554)≣⋋))","cot":[{"info":"⊺⇮7939⩷∴⊺⇮5453=⊺⇮4940","layer":3},{"info":"⊺⇮2894⊦⊿=⊺⇮-8761","layer":3},{"info":"⊺⇮4940⫸⊐⊺⇮-8761=⊺⇮-17651","layer":2},{"info":"⊺⇮5359*⊺⇮1361=⊺⇮7293599","layer":3},{"info":"⊺⇮8139⋳⪒⊺⇮1173=⊺⇮14818","layer":3},{"info":"⊺⇮7293599+⊺⇮14818=⊺⇮7308417","layer":2},{"info":"⊺⇮-17651⨳⩥⨓⊺⇮7308417=⊺⇮7326068","layer":1},{"info":"⊺⇮1073↛⩡⫤=⊺⇮-158112","layer":3},{"info":"↩⊺⇮-158112=⊺⇮635068","layer":2},{"info":"⪲⇎⊺⇮2554=⊺⇮5108","layer":3},{"info":"⊺⇮5108≣⋋=⊺⇮0","layer":2},{"info":"⊺⇮635068⪨≂⊺⇮0=⊺⇮1270238","layer":1},{"info":"⊺⇮7326068⪢⊺⇮1270238=NaN","layer":0}]}
{"id":682,"expression_no_base_symbol":"⨰⫟⨤(⨞⊢(≦∁$1349$⋥≓≎$5968$))","expression":"⨰⫟⨤(⨞⊢(≦∁⊺⇮1349⋥≓≎⊺⇮5968))","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":44075,"operation_count":4,"complexity_ratio":11018.75,"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":1349,"base":10},"right_expr":{"type":"numeric_atoms","value":5968,"base":10}}}}},"used_operators":["Tw270M8GLb","xUOZtlo3hN","9ICcGScMcE","Qy55tPpLXF"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1349","layer":4},{"info":"number node, value=5968","layer":4},{"info":"compute binary expreesion, left_input=1349, right_input=5968, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=10620","layer":3},{"info":"compute unary expreesion, input=10620, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=10620","layer":2},{"info":"compute unary expreesion, input=10620, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-10794","layer":1},{"info":"compute unary expreesion, input=-10794, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⨰⫟⨤(⨞⊢(≦∁⊺⇮1349⋥≓≎⊺⇮5968))=NaN","reverse_text":"NaN=⨰⫟⨤(⨞⊢(≦∁⊺⇮1349⋥≓≎⊺⇮5968))","cot":[{"info":"⊺⇮1349⋥≓≎⊺⇮5968=⊺⇮10620","layer":3},{"info":"≦∁⊺⇮10620=⊺⇮10620","layer":2},{"info":"⨞⊢⊺⇮10620=⊺⇮-10794","layer":1},{"info":"⨰⫟⨤⊺⇮-10794=NaN","layer":0}]}
{"id":683,"expression_no_base_symbol":"⨈⫕(⪝⪂⫅($2086$⫡⨏$4947$)⪘⫢($2211$⋥≓≎$4637$))","expression":"⨈⫕(⪝⪂⫅(⊺⇮2086⫡⨏⊺⇮4947)⪘⫢(⊺⇮2211⋥≓≎⊺⇮4637))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":562,"operation_count":5,"complexity_ratio":112.4,"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":2086,"base":10},"right_expr":{"type":"numeric_atoms","value":4947,"base":10}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2211,"base":10},"right_expr":{"type":"numeric_atoms","value":4637,"base":10}}}}},"used_operators":["megm06wKyl","XTarYq4gQB","oacrs7FA3X","QMFrweE19q","Qy55tPpLXF"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","9HNa5Wba9A","8w2t5hMYqp","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⊺⇮-21","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2086","layer":4},{"info":"number node, value=4947","layer":4},{"info":"compute binary expreesion, left_input=2086, right_input=4947, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=21107","layer":3},{"info":"number node, value=2211","layer":4},{"info":"number node, value=4637","layer":4},{"info":"compute binary expreesion, left_input=2211, right_input=4637, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=7096","layer":3},{"info":"compute binary expreesion, left_input=21107, right_input=7096, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=42090","layer":2},{"info":"compute unary expreesion, input=42090, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-6187230","layer":1},{"info":"compute unary expreesion, input=-6187230, 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":10,"result_base":10,"text":"⨈⫕(⪝⪂⫅(⊺⇮2086⫡⨏⊺⇮4947)⪘⫢(⊺⇮2211⋥≓≎⊺⇮4637))=⊺⇮-21","reverse_text":"⊺⇮-21=⨈⫕(⪝⪂⫅(⊺⇮2086⫡⨏⊺⇮4947)⪘⫢(⊺⇮2211⋥≓≎⊺⇮4637))","cot":[{"info":"⊺⇮2086⫡⨏⊺⇮4947=⊺⇮21107","layer":3},{"info":"⊺⇮2211⋥≓≎⊺⇮4637=⊺⇮7096","layer":3},{"info":"⊺⇮21107⪘⫢⊺⇮7096=⊺⇮42090","layer":2},{"info":"⪝⪂⫅⊺⇮42090=⊺⇮-6187230","layer":1},{"info":"⨈⫕⊺⇮-6187230=⊺⇮-21","layer":0}]}
{"id":684,"expression_no_base_symbol":"((↽≂(⫓⪴$2035$))⩚⊴⇥((↔$4158$)+$1743$+⇶⊼$6172$))⨟⋌⩍((⋗⩬⋾$6160$)⋝⋈⪟(⪲⇎$1890$)⨽($5870$-$6475$)⪘⫢($2212$⊭∹↮))","expression":"((↽≂(⫓⪴⊺⇮2035))⩚⊴⇥((↔⊺⇮4158)+⊺⇮1743+⇶⊼⊺⇮6172))⨟⋌⩍((⋗⩬⋾⊺⇮6160)⋝⋈⪟(⪲⇎⊺⇮1890)⨽(⊺⇮5870-⊺⇮6475)⪘⫢(⊺⇮2212⊭∹↮))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":20564,"operation_count":14,"complexity_ratio":1468.857142857143,"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":2035,"base":10}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":4158,"base":10}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1743,"base":10},"right_expr":{"type":"numeric_atoms","value":6172,"base":10}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":6160,"base":10}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1890,"base":10}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":5870,"base":10},"right_expr":{"type":"numeric_atoms","value":6475,"base":10}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":2212,"base":10}}}}},"used_operators":["rGHVDoGpnC","NTOWxs364D","u6S6b8DprG","eLxqMNBOBk","W4YGzv6Whe","ruOEQAzv1W","TpPTUOHfaN","8HhzD0ZcuI","2DDjHMKMc0","DpFCA1CohY","XPYlsWDdGa","oacrs7FA3X","rysDP5nf3Z","xNBdhnnwKq"],"dependent_operators":["Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","AHs5Up7iyr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2035","layer":4},{"info":"compute unary expreesion, input=2035, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=4141225","layer":3},{"info":"compute unary expreesion, input=4141225, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-8282450","layer":2},{"info":"number node, value=4158","layer":4},{"info":"compute unary expreesion, input=4158, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3885","layer":3},{"info":"number node, value=1743","layer":4},{"info":"number node, value=6172","layer":4},{"info":"compute binary expreesion, left_input=1743, right_input=6172, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=-3885, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-8282450, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"number node, value=6160","layer":4},{"info":"compute unary expreesion, input=6160, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-18480","layer":3},{"info":"number node, value=1890","layer":4},{"info":"compute unary expreesion, input=1890, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3780","layer":3},{"info":"compute binary expreesion, left_input=-18480, right_input=3780, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-18480","layer":2},{"info":"number node, value=5870","layer":4},{"info":"number node, value=6475","layer":4},{"info":"compute binary expreesion, left_input=5870, right_input=6475, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-605","layer":3},{"info":"number node, value=2212","layer":4},{"info":"compute unary expreesion, input=2212, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=4424","layer":3},{"info":"compute binary expreesion, left_input=-605, right_input=4424, 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=-18480, right_input=0, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-1024529886","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1024529886, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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":10,"result_base":10,"text":"((↽≂(⫓⪴⊺⇮2035))⩚⊴⇥((↔⊺⇮4158)+⊺⇮1743+⇶⊼⊺⇮6172))⨟⋌⩍((⋗⩬⋾⊺⇮6160)⋝⋈⪟(⪲⇎⊺⇮1890)⨽(⊺⇮5870-⊺⇮6475)⪘⫢(⊺⇮2212⊭∹↮))=NaN","reverse_text":"NaN=((↽≂(⫓⪴⊺⇮2035))⩚⊴⇥((↔⊺⇮4158)+⊺⇮1743+⇶⊼⊺⇮6172))⨟⋌⩍((⋗⩬⋾⊺⇮6160)⋝⋈⪟(⪲⇎⊺⇮1890)⨽(⊺⇮5870-⊺⇮6475)⪘⫢(⊺⇮2212⊭∹↮))","cot":[{"info":"⫓⪴⊺⇮2035=⊺⇮4141225","layer":3},{"info":"↽≂⊺⇮4141225=⊺⇮-8282450","layer":2},{"info":"↔⊺⇮4158=⊺⇮-3885","layer":3},{"info":"⊺⇮1743+⇶⊼⊺⇮6172=NaN","layer":3},{"info":"⊺⇮-3885+NaN=NaN","layer":2},{"info":"⊺⇮-8282450⩚⊴⇥NaN=NaN","layer":1},{"info":"⋗⩬⋾⊺⇮6160=⊺⇮-18480","layer":3},{"info":"⪲⇎⊺⇮1890=⊺⇮3780","layer":3},{"info":"⊺⇮-18480⋝⋈⪟⊺⇮3780=⊺⇮-18480","layer":2},{"info":"⊺⇮5870-⊺⇮6475=⊺⇮-605","layer":3},{"info":"⊺⇮2212⊭∹↮=⊺⇮4424","layer":3},{"info":"⊺⇮-605⪘⫢⊺⇮4424=⊺⇮0","layer":2},{"info":"⊺⇮-18480⨽⊺⇮0=⊺⇮-1024529886","layer":1},{"info":"NaN⨟⋌⩍⊺⇮-1024529886=NaN","layer":0}]}
{"id":685,"expression_no_base_symbol":"(($2793$∲⫓$1900$)⩚⊴⇥$4351$⊴$1418$⪒($3038$⨎$3551$)∑⇟⊟$2780$∼$5567$)⊭↱($3221$⩨$1288$)⨎($4010$⊭↱$2258$)⫥∨⫟($1214$⪒$3815$)⇷$1907$⪘⫢$2623$","expression":"((⊺⇮2793∲⫓⊺⇮1900)⩚⊴⇥⊺⇮4351⊴⊺⇮1418⪒(⊺⇮3038⨎⊺⇮3551)∑⇟⊟⊺⇮2780∼⊺⇮5567)⊭↱(⊺⇮3221⩨⊺⇮1288)⨎(⊺⇮4010⊭↱⊺⇮2258)⫥∨⫟(⊺⇮1214⪒⊺⇮3815)⇷⊺⇮1907⪘⫢⊺⇮2623","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":77778,"operation_count":15,"complexity_ratio":5185.2,"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":2793,"base":10},"right_expr":{"type":"numeric_atoms","value":1900,"base":10}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4351,"base":10},"right_expr":{"type":"numeric_atoms","value":1418,"base":10}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3038,"base":10},"right_expr":{"type":"numeric_atoms","value":3551,"base":10}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2780,"base":10},"right_expr":{"type":"numeric_atoms","value":5567,"base":10}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3221,"base":10},"right_expr":{"type":"numeric_atoms","value":1288,"base":10}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4010,"base":10},"right_expr":{"type":"numeric_atoms","value":2258,"base":10}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1214,"base":10},"right_expr":{"type":"numeric_atoms","value":3815,"base":10}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1907,"base":10},"right_expr":{"type":"numeric_atoms","value":2623,"base":10}}}}},"used_operators":["COABgblf1C","f6k1SAg4EE","NTOWxs364D","i8ToyICDmI","Nsiff2A1zJ","U7g4x0WXJJ","rJVOvQCfKK","DyGG3AbaNP","KYD54nUTWz","2DlMacCsIx","mp7IySMOzn","oacrs7FA3X"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2793","layer":4},{"info":"number node, value=1900","layer":4},{"info":"compute binary expreesion, left_input=2793, right_input=1900, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=4351","layer":4},{"info":"number node, value=1418","layer":4},{"info":"compute binary expreesion, left_input=4351, right_input=1418, 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 = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"number node, value=3038","layer":4},{"info":"number node, value=3551","layer":4},{"info":"compute binary expreesion, left_input=3038, right_input=3551, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3551","layer":3},{"info":"number node, value=2780","layer":4},{"info":"number node, value=5567","layer":4},{"info":"compute binary expreesion, left_input=2780, right_input=5567, 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=3551, 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 = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=3221","layer":4},{"info":"number node, value=1288","layer":4},{"info":"compute binary expreesion, left_input=3221, right_input=1288, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=4010","layer":4},{"info":"number node, value=2258","layer":4},{"info":"compute binary expreesion, left_input=4010, right_input=2258, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-3499","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-3499, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-3499","layer":2},{"info":"number node, value=1214","layer":4},{"info":"number node, value=3815","layer":4},{"info":"compute binary expreesion, left_input=1214, right_input=3815, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5029","layer":3},{"info":"number node, value=1907","layer":4},{"info":"number node, value=2623","layer":4},{"info":"compute binary expreesion, left_input=1907, right_input=2623, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3690","layer":3},{"info":"compute binary expreesion, left_input=-5029, right_input=3690, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=7380","layer":2},{"info":"compute binary expreesion, left_input=-3499, right_input=7380, 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 = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮2793∲⫓⊺⇮1900)⩚⊴⇥⊺⇮4351⊴⊺⇮1418⪒(⊺⇮3038⨎⊺⇮3551)∑⇟⊟⊺⇮2780∼⊺⇮5567)⊭↱(⊺⇮3221⩨⊺⇮1288)⨎(⊺⇮4010⊭↱⊺⇮2258)⫥∨⫟(⊺⇮1214⪒⊺⇮3815)⇷⊺⇮1907⪘⫢⊺⇮2623=NaN","reverse_text":"NaN=((⊺⇮2793∲⫓⊺⇮1900)⩚⊴⇥⊺⇮4351⊴⊺⇮1418⪒(⊺⇮3038⨎⊺⇮3551)∑⇟⊟⊺⇮2780∼⊺⇮5567)⊭↱(⊺⇮3221⩨⊺⇮1288)⨎(⊺⇮4010⊭↱⊺⇮2258)⫥∨⫟(⊺⇮1214⪒⊺⇮3815)⇷⊺⇮1907⪘⫢⊺⇮2623","cot":[{"info":"⊺⇮2793∲⫓⊺⇮1900=⊺⇮0","layer":3},{"info":"⊺⇮4351⊴⊺⇮1418=NaN","layer":3},{"info":"⊺⇮0⩚⊴⇥NaN=NaN","layer":2},{"info":"⊺⇮3038⨎⊺⇮3551=⊺⇮3551","layer":3},{"info":"⊺⇮2780∼⊺⇮5567=NaN","layer":3},{"info":"⊺⇮3551∑⇟⊟NaN=NaN","layer":2},{"info":"NaN⪒NaN=NaN","layer":1},{"info":"⊺⇮3221⩨⊺⇮1288=⊺⇮0","layer":3},{"info":"⊺⇮4010⊭↱⊺⇮2258=⊺⇮-3499","layer":3},{"info":"⊺⇮0⨎⊺⇮-3499=⊺⇮-3499","layer":2},{"info":"⊺⇮1214⪒⊺⇮3815=⊺⇮-5029","layer":3},{"info":"⊺⇮1907⪘⫢⊺⇮2623=⊺⇮3690","layer":3},{"info":"⊺⇮-5029⇷⊺⇮3690=⊺⇮7380","layer":2},{"info":"⊺⇮-3499⫥∨⫟⊺⇮7380=NaN","layer":1},{"info":"NaN⊭↱NaN=NaN","layer":0}]}
{"id":686,"expression_no_base_symbol":"((⫛⫱⨽$4328$)/($6469$⩤))∑⇟⊟(↯⪼($2186$⪛$1334$))⨐⩸⫘(∂((≉$1198$)⋳⪒(⩦⩻⨪$4765$)))","expression":"((⫛⫱⨽⊺⇮4328)/(⊺⇮6469⩤))∑⇟⊟(↯⪼(⊺⇮2186⪛⊺⇮1334))⨐⩸⫘(∂((≉⊺⇮1198)⋳⪒(⩦⩻⨪⊺⇮4765)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2330,"operation_count":11,"complexity_ratio":211.8181818181818,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":4328,"base":10}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":6469,"base":10}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2186,"base":10},"right_expr":{"type":"numeric_atoms","value":1334,"base":10}}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1198,"base":10}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":4765,"base":10}}}}},"used_operators":["fu6greOZ01","U7g4x0WXJJ","XhwjNDsVaA","DlLNRPXxWL","Z2TMIBDE3Q","8jW3W4yZS5","uFcxV4UQCh","Uaa54Peajs","12rbrZMWeM","e1ybzncUwg","2td37pGCOC"],"dependent_operators":["3ViojmjbAp","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4328","layer":4},{"info":"compute unary expreesion, input=4328, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=6469","layer":4},{"info":"compute unary expreesion, input=6469, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-6469","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-6469, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=2186","layer":4},{"info":"number node, value=1334","layer":4},{"info":"compute binary expreesion, left_input=2186, right_input=1334, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=852","layer":3},{"info":"compute unary expreesion, input=852, 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 = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=1198","layer":4},{"info":"compute unary expreesion, input=1198, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1729","layer":3},{"info":"number node, value=4765","layer":4},{"info":"compute unary expreesion, input=4765, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=4765","layer":3},{"info":"compute binary expreesion, left_input=1729, right_input=4765, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-1594","layer":2},{"info":"compute unary expreesion, input=-1594, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=1330","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1330, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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":10,"result_base":10,"text":"((⫛⫱⨽⊺⇮4328)/(⊺⇮6469⩤))∑⇟⊟(↯⪼(⊺⇮2186⪛⊺⇮1334))⨐⩸⫘(∂((≉⊺⇮1198)⋳⪒(⩦⩻⨪⊺⇮4765)))=NaN","reverse_text":"NaN=((⫛⫱⨽⊺⇮4328)/(⊺⇮6469⩤))∑⇟⊟(↯⪼(⊺⇮2186⪛⊺⇮1334))⨐⩸⫘(∂((≉⊺⇮1198)⋳⪒(⩦⩻⨪⊺⇮4765)))","cot":[{"info":"⫛⫱⨽⊺⇮4328=⊺⇮0","layer":3},{"info":"⊺⇮6469⩤=⊺⇮-6469","layer":3},{"info":"⊺⇮0/⊺⇮-6469=⊺⇮0","layer":2},{"info":"⊺⇮2186⪛⊺⇮1334=⊺⇮852","layer":3},{"info":"↯⪼⊺⇮852=⊺⇮-21","layer":2},{"info":"⊺⇮0∑⇟⊟⊺⇮-21=NaN","layer":1},{"info":"≉⊺⇮1198=⊺⇮1729","layer":3},{"info":"⩦⩻⨪⊺⇮4765=⊺⇮4765","layer":3},{"info":"⊺⇮1729⋳⪒⊺⇮4765=⊺⇮-1594","layer":2},{"info":"∂⊺⇮-1594=⊺⇮1330","layer":1},{"info":"NaN⨐⩸⫘⊺⇮1330=NaN","layer":0}]}
{"id":687,"expression_no_base_symbol":"(($5060$⩚⊴⇥$2723$)≧⫂∧$1071$⪮%⊝$5453$)↬(∂($1915$/$1575$))⨽(⨈⫕($6869$⩤))⨎(≦∁(⊄⩳↩$1883$))","expression":"((⊺⇮5060⩚⊴⇥⊺⇮2723)≧⫂∧⊺⇮1071⪮%⊝⊺⇮5453)↬(∂(⊺⇮1915/⊺⇮1575))⨽(⨈⫕(⊺⇮6869⩤))⨎(≦∁(⊄⩳↩⊺⇮1883))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":877,"operation_count":12,"complexity_ratio":73.08333333333333,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":5060,"base":10},"right_expr":{"type":"numeric_atoms","value":2723,"base":10}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1071,"base":10},"right_expr":{"type":"numeric_atoms","value":5453,"base":10}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1915,"base":10},"right_expr":{"type":"numeric_atoms","value":1575,"base":10}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":6869,"base":10}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1883,"base":10}}}}},"used_operators":["8HhzD0ZcuI","B5M0gjZbta","Ph9nP6C5qx","NTOWxs364D","IWmyXbctLI","Uaa54Peajs","XhwjNDsVaA","rJVOvQCfKK","megm06wKyl","Z2TMIBDE3Q","9ICcGScMcE","8w2t5hMYqp"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5060","layer":4},{"info":"number node, value=2723","layer":4},{"info":"compute binary expreesion, left_input=5060, right_input=2723, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7904","layer":3},{"info":"number node, value=1071","layer":4},{"info":"number node, value=5453","layer":4},{"info":"compute binary expreesion, left_input=1071, right_input=5453, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2458","layer":3},{"info":"compute binary expreesion, left_input=-7904, right_input=2458, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1985","layer":2},{"info":"number node, value=1915","layer":4},{"info":"number node, value=1575","layer":4},{"info":"compute binary expreesion, left_input=1915, right_input=1575, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute unary expreesion, input=1, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=-265","layer":2},{"info":"compute binary expreesion, left_input=1985, right_input=-265, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=6869","layer":4},{"info":"compute unary expreesion, input=6869, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-6869","layer":3},{"info":"compute unary expreesion, input=-6869, 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=1883","layer":4},{"info":"compute unary expreesion, input=1883, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-5649","layer":3},{"info":"compute unary expreesion, input=-5649, 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=-21, right_input=67, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮5060⩚⊴⇥⊺⇮2723)≧⫂∧⊺⇮1071⪮%⊝⊺⇮5453)↬(∂(⊺⇮1915/⊺⇮1575))⨽(⨈⫕(⊺⇮6869⩤))⨎(≦∁(⊄⩳↩⊺⇮1883))=NaN","reverse_text":"NaN=((⊺⇮5060⩚⊴⇥⊺⇮2723)≧⫂∧⊺⇮1071⪮%⊝⊺⇮5453)↬(∂(⊺⇮1915/⊺⇮1575))⨽(⨈⫕(⊺⇮6869⩤))⨎(≦∁(⊄⩳↩⊺⇮1883))","cot":[{"info":"⊺⇮5060⩚⊴⇥⊺⇮2723=⊺⇮-7904","layer":3},{"info":"⊺⇮1071⪮%⊝⊺⇮5453=⊺⇮2458","layer":3},{"info":"⊺⇮-7904≧⫂∧⊺⇮2458=⊺⇮1985","layer":2},{"info":"⊺⇮1915/⊺⇮1575=⊺⇮1","layer":3},{"info":"∂⊺⇮1=⊺⇮-265","layer":2},{"info":"⊺⇮1985↬⊺⇮-265=NaN","layer":1},{"info":"⊺⇮6869⩤=⊺⇮-6869","layer":3},{"info":"⨈⫕⊺⇮-6869=⊺⇮-21","layer":2},{"info":"⊄⩳↩⊺⇮1883=⊺⇮-5649","layer":3},{"info":"≦∁⊺⇮-5649=⊺⇮67","layer":2},{"info":"⊺⇮-21⨎⊺⇮67=⊺⇮67","layer":1},{"info":"NaN⨽⊺⇮67=NaN","layer":0}]}
{"id":688,"expression_no_base_symbol":"((⪲⇎$1792$)%(≤/$2350$))⪛(↥($1797$+$3632$))⊉≛↸((⊥$8030$)/($2710$/$1823$))⋥≓≎$3454$⩷∴$2854$⨎($2412$↙$1125$)","expression":"((⪲⇎⊺⇮1792)%(≤/⊺⇮2350))⪛(↥(⊺⇮1797+⊺⇮3632))⊉≛↸((⊥⊺⇮8030)/(⊺⇮2710/⊺⇮1823))⋥≓≎⊺⇮3454⩷∴⊺⇮2854⨎(⊺⇮2412↙⊺⇮1125)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1262,"operation_count":14,"complexity_ratio":90.14285714285714,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1792,"base":10}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2350,"base":10}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1797,"base":10},"right_expr":{"type":"numeric_atoms","value":3632,"base":10}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":8030,"base":10}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2710,"base":10},"right_expr":{"type":"numeric_atoms","value":1823,"base":10}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3454,"base":10},"right_expr":{"type":"numeric_atoms","value":2854,"base":10}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2412,"base":10},"right_expr":{"type":"numeric_atoms","value":1125,"base":10}}}}},"used_operators":["DZ8iAZOCBD","uFcxV4UQCh","k8jYdgA6NY","XPYlsWDdGa","eLAdDNolq6","A8NUZmVepG","W4YGzv6Whe","Qy55tPpLXF","XhwjNDsVaA","Q3PJZHRvZv","rJVOvQCfKK","9FxExcQeMw","yyfyN0ffXY"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","fu6greOZ01","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY"],"result":"⊺⇮26","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1792","layer":4},{"info":"compute unary expreesion, input=1792, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3584","layer":3},{"info":"number node, value=2350","layer":4},{"info":"compute unary expreesion, input=2350, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1866","layer":3},{"info":"compute binary expreesion, left_input=3584, right_input=-1866, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-148","layer":2},{"info":"number node, value=1797","layer":4},{"info":"number node, value=3632","layer":4},{"info":"compute binary expreesion, left_input=1797, right_input=3632, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5429","layer":3},{"info":"compute unary expreesion, input=5429, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=23","layer":2},{"info":"compute binary expreesion, left_input=-148, right_input=23, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=13","layer":1},{"info":"number node, value=8030","layer":4},{"info":"compute unary expreesion, input=8030, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=2710","layer":4},{"info":"number node, value=1823","layer":4},{"info":"compute binary expreesion, left_input=2710, right_input=1823, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=3454","layer":4},{"info":"number node, value=2854","layer":4},{"info":"compute binary expreesion, left_input=3454, right_input=2854, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1168","layer":3},{"info":"number node, value=2412","layer":4},{"info":"number node, value=1125","layer":4},{"info":"compute binary expreesion, left_input=2412, right_input=1125, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3375","layer":3},{"info":"compute binary expreesion, left_input=1168, right_input=-3375, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-3375","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3375, 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=13, right_input=67, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=26","layer":0}],"base":10,"result_base":10,"text":"((⪲⇎⊺⇮1792)%(≤/⊺⇮2350))⪛(↥(⊺⇮1797+⊺⇮3632))⊉≛↸((⊥⊺⇮8030)/(⊺⇮2710/⊺⇮1823))⋥≓≎⊺⇮3454⩷∴⊺⇮2854⨎(⊺⇮2412↙⊺⇮1125)=⊺⇮26","reverse_text":"⊺⇮26=((⪲⇎⊺⇮1792)%(≤/⊺⇮2350))⪛(↥(⊺⇮1797+⊺⇮3632))⊉≛↸((⊥⊺⇮8030)/(⊺⇮2710/⊺⇮1823))⋥≓≎⊺⇮3454⩷∴⊺⇮2854⨎(⊺⇮2412↙⊺⇮1125)","cot":[{"info":"⪲⇎⊺⇮1792=⊺⇮3584","layer":3},{"info":"≤/⊺⇮2350=⊺⇮-1866","layer":3},{"info":"⊺⇮3584%⊺⇮-1866=⊺⇮-148","layer":2},{"info":"⊺⇮1797+⊺⇮3632=⊺⇮5429","layer":3},{"info":"↥⊺⇮5429=⊺⇮23","layer":2},{"info":"⊺⇮-148⪛⊺⇮23=⊺⇮13","layer":1},{"info":"⊥⊺⇮8030=NaN","layer":3},{"info":"⊺⇮2710/⊺⇮1823=⊺⇮1","layer":3},{"info":"NaN/⊺⇮1=NaN","layer":2},{"info":"⊺⇮3454⩷∴⊺⇮2854=⊺⇮1168","layer":3},{"info":"⊺⇮2412↙⊺⇮1125=⊺⇮-3375","layer":3},{"info":"⊺⇮1168⨎⊺⇮-3375=⊺⇮-3375","layer":2},{"info":"NaN⋥≓≎⊺⇮-3375=⊺⇮67","layer":1},{"info":"⊺⇮13⊉≛↸⊺⇮67=⊺⇮26","layer":0}]}
{"id":689,"expression_no_base_symbol":"(($3050$≦≮≮)⪛($1390$⇷$1636$)⨰((⊄⩳↩$6861$)⨐⩸⫘(⊄⩳↩$1352$)))∸","expression":"((⊺⇮3050≦≮≮)⪛(⊺⇮1390⇷⊺⇮1636)⨰((⊄⩳↩⊺⇮6861)⨐⩸⫘(⊄⩳↩⊺⇮1352)))∸","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":19664,"operation_count":8,"complexity_ratio":2458.0,"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":3050,"base":10}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1390,"base":10},"right_expr":{"type":"numeric_atoms","value":1636,"base":10}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":6861,"base":10}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1352,"base":10}}}}},"used_operators":["o20kRiQErp","eewbuw0ToL","uFcxV4UQCh","D4vGDi5EA2","mp7IySMOzn","fu6greOZ01","8w2t5hMYqp"],"dependent_operators":["tmPS8pqC7x","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮177","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3050","layer":4},{"info":"compute unary expreesion, input=3050, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-9150","layer":3},{"info":"number node, value=1390","layer":4},{"info":"number node, value=1636","layer":4},{"info":"compute binary expreesion, left_input=1390, right_input=1636, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3272","layer":3},{"info":"compute binary expreesion, left_input=-9150, right_input=3272, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=666","layer":2},{"info":"number node, value=6861","layer":4},{"info":"compute unary expreesion, input=6861, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-20583","layer":3},{"info":"number node, value=1352","layer":4},{"info":"compute unary expreesion, input=1352, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-4056","layer":3},{"info":"compute binary expreesion, left_input=-20583, right_input=-4056, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=666, 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 = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮3050≦≮≮)⪛(⊺⇮1390⇷⊺⇮1636)⨰((⊄⩳↩⊺⇮6861)⨐⩸⫘(⊄⩳↩⊺⇮1352)))∸=⊺⇮177","reverse_text":"⊺⇮177=((⊺⇮3050≦≮≮)⪛(⊺⇮1390⇷⊺⇮1636)⨰((⊄⩳↩⊺⇮6861)⨐⩸⫘(⊄⩳↩⊺⇮1352)))∸","cot":[{"info":"⊺⇮3050≦≮≮=⊺⇮-9150","layer":3},{"info":"⊺⇮1390⇷⊺⇮1636=⊺⇮3272","layer":3},{"info":"⊺⇮-9150⪛⊺⇮3272=⊺⇮666","layer":2},{"info":"⊄⩳↩⊺⇮6861=⊺⇮-20583","layer":3},{"info":"⊄⩳↩⊺⇮1352=⊺⇮-4056","layer":3},{"info":"⊺⇮-20583⨐⩸⫘⊺⇮-4056=NaN","layer":2},{"info":"⊺⇮666⨰NaN=NaN","layer":1},{"info":"NaN∸=⊺⇮177","layer":0}]}
{"id":690,"expression_no_base_symbol":"((($6186$⫌⩹⨱)%$1727$≹⇙⪍$2955$)*(↣≠⋷$1979$)⨽(⨵≀≌$1463$))⨳⩥⨓(($1567$⪒$6039$)⨎($5457$⨎$1843$)⪒($2675$⇼⇔∾$9054$)↬($8559$-$3257$))","expression":"(((⊺⇮6186⫌⩹⨱)%⊺⇮1727≹⇙⪍⊺⇮2955)*(↣≠⋷⊺⇮1979)⨽(⨵≀≌⊺⇮1463))⨳⩥⨓((⊺⇮1567⪒⊺⇮6039)⨎(⊺⇮5457⨎⊺⇮1843)⪒(⊺⇮2675⇼⇔∾⊺⇮9054)↬(⊺⇮8559-⊺⇮3257))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":41,"operation_count":15,"complexity_ratio":2.7333333333333334,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":6186,"base":10}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1727,"base":10},"right_expr":{"type":"numeric_atoms","value":2955,"base":10}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1979,"base":10}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1463,"base":10}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1567,"base":10},"right_expr":{"type":"numeric_atoms","value":6039,"base":10}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5457,"base":10},"right_expr":{"type":"numeric_atoms","value":1843,"base":10}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2675,"base":10},"right_expr":{"type":"numeric_atoms","value":9054,"base":10}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":8559,"base":10},"right_expr":{"type":"numeric_atoms","value":3257,"base":10}}}}},"used_operators":["nCS4ZIUYfx","9HNa5Wba9A","k8jYdgA6NY","EBcxylXtPf","AHs5Up7iyr","8HhzD0ZcuI","Asc51vEJeQ","srAu1WTS94","f6k1SAg4EE","rJVOvQCfKK","B5M0gjZbta","tifHPKVTfV","rysDP5nf3Z"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","XhwjNDsVaA","AHs5Up7iyr","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6186","layer":4},{"info":"compute unary expreesion, input=6186, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=13773","layer":3},{"info":"number node, value=1727","layer":4},{"info":"number node, value=2955","layer":4},{"info":"compute binary expreesion, left_input=1727, right_input=2955, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=13773, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1979","layer":4},{"info":"compute unary expreesion, input=1979, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=1463","layer":4},{"info":"compute unary expreesion, input=1463, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-4389","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4389, 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 = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1567","layer":4},{"info":"number node, value=6039","layer":4},{"info":"compute binary expreesion, left_input=1567, right_input=6039, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7606","layer":3},{"info":"number node, value=5457","layer":4},{"info":"number node, value=1843","layer":4},{"info":"compute binary expreesion, left_input=5457, right_input=1843, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1843","layer":3},{"info":"compute binary expreesion, left_input=-7606, right_input=1843, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1843","layer":2},{"info":"number node, value=2675","layer":4},{"info":"number node, value=9054","layer":4},{"info":"compute binary expreesion, left_input=2675, right_input=9054, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=6379","layer":3},{"info":"number node, value=8559","layer":4},{"info":"number node, value=3257","layer":4},{"info":"compute binary expreesion, left_input=8559, right_input=3257, op_id = rysDP5nf3Z binary_op_definition= 'None', output=5302","layer":3},{"info":"compute binary expreesion, left_input=6379, right_input=5302, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1843, 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 = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮6186⫌⩹⨱)%⊺⇮1727≹⇙⪍⊺⇮2955)*(↣≠⋷⊺⇮1979)⨽(⨵≀≌⊺⇮1463))⨳⩥⨓((⊺⇮1567⪒⊺⇮6039)⨎(⊺⇮5457⨎⊺⇮1843)⪒(⊺⇮2675⇼⇔∾⊺⇮9054)↬(⊺⇮8559-⊺⇮3257))=NaN","reverse_text":"NaN=(((⊺⇮6186⫌⩹⨱)%⊺⇮1727≹⇙⪍⊺⇮2955)*(↣≠⋷⊺⇮1979)⨽(⨵≀≌⊺⇮1463))⨳⩥⨓((⊺⇮1567⪒⊺⇮6039)⨎(⊺⇮5457⨎⊺⇮1843)⪒(⊺⇮2675⇼⇔∾⊺⇮9054)↬(⊺⇮8559-⊺⇮3257))","cot":[{"info":"⊺⇮6186⫌⩹⨱=⊺⇮13773","layer":3},{"info":"⊺⇮1727≹⇙⪍⊺⇮2955=NaN","layer":3},{"info":"⊺⇮13773%NaN=NaN","layer":2},{"info":"↣≠⋷⊺⇮1979=NaN","layer":3},{"info":"⨵≀≌⊺⇮1463=⊺⇮-4389","layer":3},{"info":"NaN⨽⊺⇮-4389=NaN","layer":2},{"info":"NaN*NaN=NaN","layer":1},{"info":"⊺⇮1567⪒⊺⇮6039=⊺⇮-7606","layer":3},{"info":"⊺⇮5457⨎⊺⇮1843=⊺⇮1843","layer":3},{"info":"⊺⇮-7606⨎⊺⇮1843=⊺⇮1843","layer":2},{"info":"⊺⇮2675⇼⇔∾⊺⇮9054=⊺⇮6379","layer":3},{"info":"⊺⇮8559-⊺⇮3257=⊺⇮5302","layer":3},{"info":"⊺⇮6379↬⊺⇮5302=NaN","layer":2},{"info":"⊺⇮1843⪒NaN=NaN","layer":1},{"info":"NaN⨳⩥⨓NaN=NaN","layer":0}]}
{"id":691,"expression_no_base_symbol":"↥((($4350$≎⊠⪸$5667$)⇋≉)⨳⩥⨓($2799$⨎$5895$)⨰($2939$%$2214$))","expression":"↥(((⊺⇮4350≎⊠⪸⊺⇮5667)⇋≉)⨳⩥⨓(⊺⇮2799⨎⊺⇮5895)⨰(⊺⇮2939%⊺⇮2214))","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":44344,"operation_count":7,"complexity_ratio":6334.857142857143,"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":4350,"base":10},"right_expr":{"type":"numeric_atoms","value":5667,"base":10}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2799,"base":10},"right_expr":{"type":"numeric_atoms","value":5895,"base":10}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2939,"base":10},"right_expr":{"type":"numeric_atoms","value":2214,"base":10}}}}},"used_operators":["A8NUZmVepG","nCS4ZIUYfx","XIabStNQrY","bJkvcejdHO","eewbuw0ToL","rJVOvQCfKK","k8jYdgA6NY"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z"],"result":"⊺⇮35","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4350","layer":4},{"info":"number node, value=5667","layer":4},{"info":"compute binary expreesion, left_input=4350, right_input=5667, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1126177","layer":3},{"info":"compute unary expreesion, input=1126177, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=2252256","layer":2},{"info":"number node, value=2799","layer":4},{"info":"number node, value=5895","layer":4},{"info":"compute binary expreesion, left_input=2799, right_input=5895, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5895","layer":3},{"info":"number node, value=2939","layer":4},{"info":"number node, value=2214","layer":4},{"info":"compute binary expreesion, left_input=2939, right_input=2214, op_id = k8jYdgA6NY binary_op_definition= 'None', output=725","layer":3},{"info":"compute binary expreesion, left_input=5895, right_input=725, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=5180","layer":2},{"info":"compute binary expreesion, left_input=2252256, right_input=5180, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2247076","layer":1},{"info":"compute unary expreesion, input=-2247076, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=35","layer":0}],"base":10,"result_base":10,"text":"↥(((⊺⇮4350≎⊠⪸⊺⇮5667)⇋≉)⨳⩥⨓(⊺⇮2799⨎⊺⇮5895)⨰(⊺⇮2939%⊺⇮2214))=⊺⇮35","reverse_text":"⊺⇮35=↥(((⊺⇮4350≎⊠⪸⊺⇮5667)⇋≉)⨳⩥⨓(⊺⇮2799⨎⊺⇮5895)⨰(⊺⇮2939%⊺⇮2214))","cot":[{"info":"⊺⇮4350≎⊠⪸⊺⇮5667=⊺⇮1126177","layer":3},{"info":"⊺⇮1126177⇋≉=⊺⇮2252256","layer":2},{"info":"⊺⇮2799⨎⊺⇮5895=⊺⇮5895","layer":3},{"info":"⊺⇮2939%⊺⇮2214=⊺⇮725","layer":3},{"info":"⊺⇮5895⨰⊺⇮725=⊺⇮5180","layer":2},{"info":"⊺⇮2252256⨳⩥⨓⊺⇮5180=⊺⇮-2247076","layer":1},{"info":"↥⊺⇮-2247076=⊺⇮35","layer":0}]}
{"id":692,"expression_no_base_symbol":"((↩$1094$⪢$2248$)⨳⩥⨓(($6658$⋷$3034$)⊭↱(⨵≀≌$4225$)))∀⇚≩($2359$≎⊠⪸$3045$⨐⩸⫘$1138$⋝⋈⪟$2516$⪨≂((↩$7057$)⪨≂$5271$⪒$2038$))","expression":"((↩⊺⇮1094⪢⊺⇮2248)⨳⩥⨓((⊺⇮6658⋷⊺⇮3034)⊭↱(⨵≀≌⊺⇮4225)))∀⇚≩(⊺⇮2359≎⊠⪸⊺⇮3045⨐⩸⫘⊺⇮1138⋝⋈⪟⊺⇮2516⪨≂((↩⊺⇮7057)⪨≂⊺⇮5271⪒⊺⇮2038))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2586,"operation_count":14,"complexity_ratio":184.71428571428572,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1094,"base":10},"right_expr":{"type":"numeric_atoms","value":2248,"base":10}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":6658,"base":10},"right_expr":{"type":"numeric_atoms","value":3034,"base":10}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":4225,"base":10}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2359,"base":10},"right_expr":{"type":"numeric_atoms","value":3045,"base":10}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1138,"base":10},"right_expr":{"type":"numeric_atoms","value":2516,"base":10}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":7057,"base":10}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":5271,"base":10},"right_expr":{"type":"numeric_atoms","value":2038,"base":10}}}}},"used_operators":["LRNGc0VcxI","nCS4ZIUYfx","jLgFTUHLKL","dWAJyo7jo9","COABgblf1C","23Mk6UjR3U","srAu1WTS94","sdazOOVcIp","fu6greOZ01","bJkvcejdHO","2DDjHMKMc0","f6k1SAg4EE"],"dependent_operators":["X99M06cbEe","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1094","layer":4},{"info":"number node, value=2248","layer":4},{"info":"compute binary expreesion, left_input=1094, right_input=2248, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = 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=6658","layer":4},{"info":"number node, value=3034","layer":4},{"info":"compute binary expreesion, left_input=6658, right_input=3034, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-590","layer":3},{"info":"number node, value=4225","layer":4},{"info":"compute unary expreesion, input=4225, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-12675","layer":3},{"info":"compute binary expreesion, left_input=-590, right_input=-12675, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-24165","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-24165, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"number node, value=2359","layer":4},{"info":"number node, value=3045","layer":4},{"info":"compute binary expreesion, left_input=2359, right_input=3045, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=610508","layer":3},{"info":"number node, value=1138","layer":4},{"info":"number node, value=2516","layer":4},{"info":"compute binary expreesion, left_input=1138, right_input=2516, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1138","layer":3},{"info":"compute binary expreesion, left_input=610508, right_input=1138, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=7057","layer":4},{"info":"compute unary expreesion, input=7057, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-53676","layer":3},{"info":"number node, value=5271","layer":4},{"info":"number node, value=2038","layer":4},{"info":"compute binary expreesion, left_input=5271, right_input=2038, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7309","layer":3},{"info":"compute binary expreesion, left_input=-53676, right_input=-7309, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-92632","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-92632, op_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 = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":10,"result_base":10,"text":"((↩⊺⇮1094⪢⊺⇮2248)⨳⩥⨓((⊺⇮6658⋷⊺⇮3034)⊭↱(⨵≀≌⊺⇮4225)))∀⇚≩(⊺⇮2359≎⊠⪸⊺⇮3045⨐⩸⫘⊺⇮1138⋝⋈⪟⊺⇮2516⪨≂((↩⊺⇮7057)⪨≂⊺⇮5271⪒⊺⇮2038))=NaN","reverse_text":"NaN=((↩⊺⇮1094⪢⊺⇮2248)⨳⩥⨓((⊺⇮6658⋷⊺⇮3034)⊭↱(⨵≀≌⊺⇮4225)))∀⇚≩(⊺⇮2359≎⊠⪸⊺⇮3045⨐⩸⫘⊺⇮1138⋝⋈⪟⊺⇮2516⪨≂((↩⊺⇮7057)⪨≂⊺⇮5271⪒⊺⇮2038))","cot":[{"info":"⊺⇮1094⪢⊺⇮2248=NaN","layer":3},{"info":"↩NaN=NaN","layer":2},{"info":"⊺⇮6658⋷⊺⇮3034=⊺⇮-590","layer":3},{"info":"⨵≀≌⊺⇮4225=⊺⇮-12675","layer":3},{"info":"⊺⇮-590⊭↱⊺⇮-12675=⊺⇮-24165","layer":2},{"info":"NaN⨳⩥⨓⊺⇮-24165=NaN","layer":1},{"info":"⊺⇮2359≎⊠⪸⊺⇮3045=⊺⇮610508","layer":3},{"info":"⊺⇮1138⋝⋈⪟⊺⇮2516=⊺⇮1138","layer":3},{"info":"⊺⇮610508⨐⩸⫘⊺⇮1138=NaN","layer":2},{"info":"↩⊺⇮7057=⊺⇮-53676","layer":3},{"info":"⊺⇮5271⪒⊺⇮2038=⊺⇮-7309","layer":3},{"info":"⊺⇮-53676⪨≂⊺⇮-7309=⊺⇮-92632","layer":2},{"info":"NaN⪨≂⊺⇮-92632=NaN","layer":1},{"info":"NaN∀⇚≩NaN=NaN","layer":0}]}
{"id":693,"expression_no_base_symbol":"$5400$⨽$3759$↺$4361$⩚⊴⇥$1625$↺($1984$⨓$1839$)⊴($1380$⇼⇔∾$3708$)-(∂$7404$↬$6057$)⊴(∥⊫($5939$⊘))","expression":"⊺⇮5400⨽⊺⇮3759↺⊺⇮4361⩚⊴⇥⊺⇮1625↺(⊺⇮1984⨓⊺⇮1839)⊴(⊺⇮1380⇼⇔∾⊺⇮3708)-(∂⊺⇮7404↬⊺⇮6057)⊴(∥⊫(⊺⇮5939⊘))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":11175,"operation_count":13,"complexity_ratio":859.6153846153846,"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":5400,"base":10},"right_expr":{"type":"numeric_atoms","value":3759,"base":10}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4361,"base":10},"right_expr":{"type":"numeric_atoms","value":1625,"base":10}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1984,"base":10},"right_expr":{"type":"numeric_atoms","value":1839,"base":10}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1380,"base":10},"right_expr":{"type":"numeric_atoms","value":3708,"base":10}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":7404,"base":10},"right_expr":{"type":"numeric_atoms","value":6057,"base":10}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":5939,"base":10}}}}},"used_operators":["rysDP5nf3Z","7j4O788W3g","8HhzD0ZcuI","NTOWxs364D","Nsiff2A1zJ","3ViojmjbAp","tifHPKVTfV","Uaa54Peajs","B5M0gjZbta","P8v4zCKN1o","gu96TGCTMs"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5400","layer":4},{"info":"number node, value=3759","layer":4},{"info":"compute binary expreesion, left_input=5400, right_input=3759, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-87489963","layer":3},{"info":"number node, value=4361","layer":4},{"info":"number node, value=1625","layer":4},{"info":"compute binary expreesion, left_input=4361, right_input=1625, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6107","layer":3},{"info":"compute binary expreesion, left_input=-87489963, right_input=-6107, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-6107","layer":2},{"info":"number node, value=1984","layer":4},{"info":"number node, value=1839","layer":4},{"info":"compute binary expreesion, left_input=1984, right_input=1839, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1842","layer":3},{"info":"number node, value=1380","layer":4},{"info":"number node, value=3708","layer":4},{"info":"compute binary expreesion, left_input=1380, right_input=3708, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=2328","layer":3},{"info":"compute binary expreesion, left_input=-1842, right_input=2328, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-6107, 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=7404","layer":4},{"info":"number node, value=6057","layer":4},{"info":"compute binary expreesion, left_input=7404, right_input=6057, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = 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=5939","layer":4},{"info":"compute unary expreesion, input=5939, 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 = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=868","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=868, 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 = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":10,"result_base":10,"text":"⊺⇮5400⨽⊺⇮3759↺⊺⇮4361⩚⊴⇥⊺⇮1625↺(⊺⇮1984⨓⊺⇮1839)⊴(⊺⇮1380⇼⇔∾⊺⇮3708)-(∂⊺⇮7404↬⊺⇮6057)⊴(∥⊫(⊺⇮5939⊘))=NaN","reverse_text":"NaN=⊺⇮5400⨽⊺⇮3759↺⊺⇮4361⩚⊴⇥⊺⇮1625↺(⊺⇮1984⨓⊺⇮1839)⊴(⊺⇮1380⇼⇔∾⊺⇮3708)-(∂⊺⇮7404↬⊺⇮6057)⊴(∥⊫(⊺⇮5939⊘))","cot":[{"info":"⊺⇮5400⨽⊺⇮3759=⊺⇮-87489963","layer":3},{"info":"⊺⇮4361⩚⊴⇥⊺⇮1625=⊺⇮-6107","layer":3},{"info":"⊺⇮-87489963↺⊺⇮-6107=⊺⇮-6107","layer":2},{"info":"⊺⇮1984⨓⊺⇮1839=⊺⇮-1842","layer":3},{"info":"⊺⇮1380⇼⇔∾⊺⇮3708=⊺⇮2328","layer":3},{"info":"⊺⇮-1842⊴⊺⇮2328=NaN","layer":2},{"info":"⊺⇮-6107↺NaN=NaN","layer":1},{"info":"⊺⇮7404↬⊺⇮6057=NaN","layer":3},{"info":"∂NaN=NaN","layer":2},{"info":"⊺⇮5939⊘=⊺⇮0","layer":3},{"info":"∥⊫⊺⇮0=⊺⇮868","layer":2},{"info":"NaN⊴⊺⇮868=NaN","layer":1},{"info":"NaN-NaN=NaN","layer":0}]}
{"id":694,"expression_no_base_symbol":"(($1153$↛⩡⫤)⋝⋈⪟(⇁⨣⪵$1072$)⩨(⨈⫕$2183$)⋓($5932$⫩⊇))∀⇚≩(∥⊫($2256$⨸⪁$3998$)⪛($3849$⫥∨⫟$1258$))","expression":"((⊺⇮1153↛⩡⫤)⋝⋈⪟(⇁⨣⪵⊺⇮1072)⩨(⨈⫕⊺⇮2183)⋓(⊺⇮5932⫩⊇))∀⇚≩(∥⊫(⊺⇮2256⨸⪁⊺⇮3998)⪛(⊺⇮3849⫥∨⫟⊺⇮1258))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4167,"operation_count":12,"complexity_ratio":347.25,"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":1153,"base":10}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1072,"base":10}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2183,"base":10}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":5932,"base":10}}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2256,"base":10},"right_expr":{"type":"numeric_atoms","value":3998,"base":10}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3849,"base":10},"right_expr":{"type":"numeric_atoms","value":1258,"base":10}}}}},"used_operators":["LRNGc0VcxI","2DlMacCsIx","2DDjHMKMc0","FU0Cs4j7VP","inkyxCbjAn","T2fj7uvVaJ","megm06wKyl","BjRHVeLaeN","P8v4zCKN1o","uFcxV4UQCh","g55IO6H4Gj","KYD54nUTWz"],"dependent_operators":["X99M06cbEe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","B5M0gjZbta","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1153","layer":4},{"info":"compute unary expreesion, input=1153, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-170192","layer":3},{"info":"number node, value=1072","layer":4},{"info":"compute unary expreesion, input=1072, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-170192, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=2183","layer":4},{"info":"compute unary expreesion, input=2183, 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=5932","layer":4},{"info":"compute unary expreesion, input=5932, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-5890","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-5890, op_id = T2fj7uvVaJ binary_op_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 = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"number node, value=2256","layer":4},{"info":"number node, value=3998","layer":4},{"info":"compute binary expreesion, left_input=2256, right_input=3998, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=12508","layer":3},{"info":"number node, value=3849","layer":4},{"info":"number node, value=1258","layer":4},{"info":"compute binary expreesion, left_input=3849, right_input=1258, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=12508, 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 = 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 = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":10,"result_base":10,"text":"((⊺⇮1153↛⩡⫤)⋝⋈⪟(⇁⨣⪵⊺⇮1072)⩨(⨈⫕⊺⇮2183)⋓(⊺⇮5932⫩⊇))∀⇚≩(∥⊫(⊺⇮2256⨸⪁⊺⇮3998)⪛(⊺⇮3849⫥∨⫟⊺⇮1258))=NaN","reverse_text":"NaN=((⊺⇮1153↛⩡⫤)⋝⋈⪟(⇁⨣⪵⊺⇮1072)⩨(⨈⫕⊺⇮2183)⋓(⊺⇮5932⫩⊇))∀⇚≩(∥⊫(⊺⇮2256⨸⪁⊺⇮3998)⪛(⊺⇮3849⫥∨⫟⊺⇮1258))","cot":[{"info":"⊺⇮1153↛⩡⫤=⊺⇮-170192","layer":3},{"info":"⇁⨣⪵⊺⇮1072=NaN","layer":3},{"info":"⊺⇮-170192⋝⋈⪟NaN=NaN","layer":2},{"info":"⨈⫕⊺⇮2183=⊺⇮-21","layer":3},{"info":"⊺⇮5932⫩⊇=⊺⇮-5890","layer":3},{"info":"⊺⇮-21⋓⊺⇮-5890=⊺⇮0","layer":2},{"info":"NaN⩨⊺⇮0=NaN","layer":1},{"info":"⊺⇮2256⨸⪁⊺⇮3998=⊺⇮12508","layer":3},{"info":"⊺⇮3849⫥∨⫟⊺⇮1258=NaN","layer":3},{"info":"⊺⇮12508⪛NaN=NaN","layer":2},{"info":"∥⊫NaN=NaN","layer":1},{"info":"NaN∀⇚≩NaN=NaN","layer":0}]}
{"id":695,"expression_no_base_symbol":"(⋗⩬⋾($7680$%$6898$)≎⊠⪸($5128$⨵⪆$1712$))↙(($6727$∑⇟⊟$1593$)⨪↰⇹(⨞⊢$1970$)⊦⊿)","expression":"(⋗⩬⋾(⊺⇮7680%⊺⇮6898)≎⊠⪸(⊺⇮5128⨵⪆⊺⇮1712))↙((⊺⇮6727∑⇟⊟⊺⇮1593)⨪↰⇹(⨞⊢⊺⇮1970)⊦⊿)","highest_n_order":4,"priority_hierarchical_complexity":7,"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":7680,"base":10},"right_expr":{"type":"numeric_atoms","value":6898,"base":10}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":5128,"base":10},"right_expr":{"type":"numeric_atoms","value":1712,"base":10}}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":6727,"base":10},"right_expr":{"type":"numeric_atoms","value":1593,"base":10}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1970,"base":10}}}}},"used_operators":["yyfyN0ffXY","DpFCA1CohY","bJkvcejdHO","k8jYdgA6NY","2DQ55sFlQl","14qkJME0vr","tmPS8pqC7x","U7g4x0WXJJ","xUOZtlo3hN"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮-606195","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7680","layer":4},{"info":"number node, value=6898","layer":4},{"info":"compute binary expreesion, left_input=7680, right_input=6898, op_id = k8jYdgA6NY binary_op_definition= 'None', output=782","layer":3},{"info":"number node, value=5128","layer":4},{"info":"number node, value=1712","layer":4},{"info":"compute binary expreesion, left_input=5128, right_input=1712, 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=782, right_input=160, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=202065","layer":2},{"info":"compute unary expreesion, input=202065, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-606195","layer":1},{"info":"number node, value=6727","layer":4},{"info":"number node, value=1593","layer":4},{"info":"compute binary expreesion, left_input=6727, right_input=1593, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1970","layer":4},{"info":"compute unary expreesion, input=1970, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2144","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2144, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-606195, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-606195","layer":0}],"base":10,"result_base":10,"text":"(⋗⩬⋾(⊺⇮7680%⊺⇮6898)≎⊠⪸(⊺⇮5128⨵⪆⊺⇮1712))↙((⊺⇮6727∑⇟⊟⊺⇮1593)⨪↰⇹(⨞⊢⊺⇮1970)⊦⊿)=⊺⇮-606195","reverse_text":"⊺⇮-606195=(⋗⩬⋾(⊺⇮7680%⊺⇮6898)≎⊠⪸(⊺⇮5128⨵⪆⊺⇮1712))↙((⊺⇮6727∑⇟⊟⊺⇮1593)⨪↰⇹(⨞⊢⊺⇮1970)⊦⊿)","cot":[{"info":"⊺⇮7680%⊺⇮6898=⊺⇮782","layer":3},{"info":"⊺⇮5128⨵⪆⊺⇮1712=⊺⇮160","layer":3},{"info":"⊺⇮782≎⊠⪸⊺⇮160=⊺⇮202065","layer":2},{"info":"⋗⩬⋾⊺⇮202065=⊺⇮-606195","layer":1},{"info":"⊺⇮6727∑⇟⊟⊺⇮1593=NaN","layer":3},{"info":"⨞⊢⊺⇮1970=⊺⇮-2144","layer":3},{"info":"NaN⨪↰⇹⊺⇮-2144=NaN","layer":2},{"info":"NaN⊦⊿=NaN","layer":1},{"info":"⊺⇮-606195↙NaN=⊺⇮-606195","layer":0}]}
{"id":696,"expression_no_base_symbol":"($3656$⩨$1932$)⪘⫢($1079$≦≮≮)⨳⩥⨓($3461$⨸⪁$1633$%$1064$≧⫂∧$1713$)⋷($1322$+$4174$)⨰($1722$↙$6441$)⊭↱($5186$*$1383$)⨟⋌⩍(⊙↵-$1150$)","expression":"(⊺⇮3656⩨⊺⇮1932)⪘⫢(⊺⇮1079≦≮≮)⨳⩥⨓(⊺⇮3461⨸⪁⊺⇮1633%⊺⇮1064≧⫂∧⊺⇮1713)⋷(⊺⇮1322+⊺⇮4174)⨰(⊺⇮1722↙⊺⇮6441)⊭↱(⊺⇮5186*⊺⇮1383)⨟⋌⩍(⊙↵-⊺⇮1150)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":9583,"operation_count":15,"complexity_ratio":638.8666666666667,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3656,"base":10},"right_expr":{"type":"numeric_atoms","value":1932,"base":10}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1079,"base":10}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3461,"base":10},"right_expr":{"type":"numeric_atoms","value":1633,"base":10}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1064,"base":10},"right_expr":{"type":"numeric_atoms","value":1713,"base":10}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1322,"base":10},"right_expr":{"type":"numeric_atoms","value":4174,"base":10}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1722,"base":10},"right_expr":{"type":"numeric_atoms","value":6441,"base":10}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":5186,"base":10},"right_expr":{"type":"numeric_atoms","value":1383,"base":10}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1150,"base":10}}}}},"used_operators":["23Mk6UjR3U","nCS4ZIUYfx","oacrs7FA3X","2DlMacCsIx","D4vGDi5EA2","k8jYdgA6NY","g55IO6H4Gj","Ph9nP6C5qx","COABgblf1C","eewbuw0ToL","W4YGzv6Whe","yyfyN0ffXY","rGHVDoGpnC","9HNa5Wba9A","oWn0xqSxBt"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","Tcnh7f0tEr","W4YGzv6Whe","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"⊺⇮-538","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3656","layer":4},{"info":"number node, value=1932","layer":4},{"info":"compute binary expreesion, left_input=3656, right_input=1932, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=1079","layer":4},{"info":"compute unary expreesion, input=1079, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-3237","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-3237, 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=3461","layer":4},{"info":"number node, value=1633","layer":4},{"info":"compute binary expreesion, left_input=3461, right_input=1633, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10188","layer":3},{"info":"number node, value=1064","layer":4},{"info":"number node, value=1713","layer":4},{"info":"compute binary expreesion, left_input=1064, right_input=1713, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1240","layer":3},{"info":"compute binary expreesion, left_input=10188, right_input=1240, op_id = k8jYdgA6NY binary_op_definition= 'None', output=268","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=268, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=269","layer":1},{"info":"number node, value=1322","layer":4},{"info":"number node, value=4174","layer":4},{"info":"compute binary expreesion, left_input=1322, right_input=4174, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5496","layer":3},{"info":"number node, value=1722","layer":4},{"info":"number node, value=6441","layer":4},{"info":"compute binary expreesion, left_input=1722, right_input=6441, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-19323","layer":3},{"info":"compute binary expreesion, left_input=5496, right_input=-19323, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=24829","layer":2},{"info":"number node, value=5186","layer":4},{"info":"number node, value=1383","layer":4},{"info":"compute binary expreesion, left_input=5186, right_input=1383, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=7172238","layer":3},{"info":"number node, value=1150","layer":4},{"info":"compute unary expreesion, input=1150, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=7172238, 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":2},{"info":"compute binary expreesion, left_input=24829, 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=269, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-538","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮3656⩨⊺⇮1932)⪘⫢(⊺⇮1079≦≮≮)⨳⩥⨓(⊺⇮3461⨸⪁⊺⇮1633%⊺⇮1064≧⫂∧⊺⇮1713)⋷(⊺⇮1322+⊺⇮4174)⨰(⊺⇮1722↙⊺⇮6441)⊭↱(⊺⇮5186*⊺⇮1383)⨟⋌⩍(⊙↵-⊺⇮1150)=⊺⇮-538","reverse_text":"⊺⇮-538=(⊺⇮3656⩨⊺⇮1932)⪘⫢(⊺⇮1079≦≮≮)⨳⩥⨓(⊺⇮3461⨸⪁⊺⇮1633%⊺⇮1064≧⫂∧⊺⇮1713)⋷(⊺⇮1322+⊺⇮4174)⨰(⊺⇮1722↙⊺⇮6441)⊭↱(⊺⇮5186*⊺⇮1383)⨟⋌⩍(⊙↵-⊺⇮1150)","cot":[{"info":"⊺⇮3656⩨⊺⇮1932=⊺⇮0","layer":3},{"info":"⊺⇮1079≦≮≮=⊺⇮-3237","layer":3},{"info":"⊺⇮0⪘⫢⊺⇮-3237=⊺⇮-1","layer":2},{"info":"⊺⇮3461⨸⪁⊺⇮1633=⊺⇮10188","layer":3},{"info":"⊺⇮1064≧⫂∧⊺⇮1713=⊺⇮1240","layer":3},{"info":"⊺⇮10188%⊺⇮1240=⊺⇮268","layer":2},{"info":"⊺⇮-1⨳⩥⨓⊺⇮268=⊺⇮269","layer":1},{"info":"⊺⇮1322+⊺⇮4174=⊺⇮5496","layer":3},{"info":"⊺⇮1722↙⊺⇮6441=⊺⇮-19323","layer":3},{"info":"⊺⇮5496⨰⊺⇮-19323=⊺⇮24829","layer":2},{"info":"⊺⇮5186*⊺⇮1383=⊺⇮7172238","layer":3},{"info":"⊙↵-⊺⇮1150=⊺⇮-1","layer":3},{"info":"⊺⇮7172238⨟⋌⩍⊺⇮-1=NaN","layer":2},{"info":"⊺⇮24829⊭↱NaN=NaN","layer":1},{"info":"⊺⇮269⋷NaN=⊺⇮-538","layer":0}]}
{"id":697,"expression_no_base_symbol":"((($1296$⋥≓≎$6217$)≫≃)⋓($3543$⇷$3823$)↬($5933$⨎$2148$))⪮%⊝((↣≠⋷($5832$⫥∨⫟$1128$))⪒($1998$⨽$2385$)⨟⋌⩍($1217$↙$1172$))","expression":"(((⊺⇮1296⋥≓≎⊺⇮6217)≫≃)⋓(⊺⇮3543⇷⊺⇮3823)↬(⊺⇮5933⨎⊺⇮2148))⪮%⊝((↣≠⋷(⊺⇮5832⫥∨⫟⊺⇮1128))⪒(⊺⇮1998⨽⊺⇮2385)⨟⋌⩍(⊺⇮1217↙⊺⇮1172))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":52986,"operation_count":13,"complexity_ratio":4075.846153846154,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1296,"base":10},"right_expr":{"type":"numeric_atoms","value":6217,"base":10}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3543,"base":10},"right_expr":{"type":"numeric_atoms","value":3823,"base":10}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5933,"base":10},"right_expr":{"type":"numeric_atoms","value":2148,"base":10}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5832,"base":10},"right_expr":{"type":"numeric_atoms","value":1128,"base":10}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1998,"base":10},"right_expr":{"type":"numeric_atoms","value":2385,"base":10}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1217,"base":10},"right_expr":{"type":"numeric_atoms","value":1172,"base":10}}}}},"used_operators":["IWmyXbctLI","T2fj7uvVaJ","X99M06cbEe","Qy55tPpLXF","B5M0gjZbta","mp7IySMOzn","rJVOvQCfKK","f6k1SAg4EE","Asc51vEJeQ","KYD54nUTWz","rGHVDoGpnC","8HhzD0ZcuI","yyfyN0ffXY"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC","Tcnh7f0tEr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1296","layer":4},{"info":"number node, value=6217","layer":4},{"info":"compute binary expreesion, left_input=1296, right_input=6217, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=11171","layer":3},{"info":"compute unary expreesion, input=11171, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=23743","layer":2},{"info":"number node, value=3543","layer":4},{"info":"number node, value=3823","layer":4},{"info":"compute binary expreesion, left_input=3543, right_input=3823, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=7646","layer":3},{"info":"number node, value=5933","layer":4},{"info":"number node, value=2148","layer":4},{"info":"compute binary expreesion, left_input=5933, right_input=2148, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2148","layer":3},{"info":"compute binary expreesion, left_input=7646, right_input=2148, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=23743, 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=5832","layer":4},{"info":"number node, value=1128","layer":4},{"info":"compute binary expreesion, left_input=5832, right_input=1128, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽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=1998","layer":4},{"info":"number node, value=2385","layer":4},{"info":"compute binary expreesion, left_input=1998, right_input=2385, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-11981853","layer":3},{"info":"number node, value=1217","layer":4},{"info":"number node, value=1172","layer":4},{"info":"compute binary expreesion, left_input=1217, right_input=1172, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3516","layer":3},{"info":"compute binary expreesion, left_input=-11981853, right_input=-3516, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮1296⋥≓≎⊺⇮6217)≫≃)⋓(⊺⇮3543⇷⊺⇮3823)↬(⊺⇮5933⨎⊺⇮2148))⪮%⊝((↣≠⋷(⊺⇮5832⫥∨⫟⊺⇮1128))⪒(⊺⇮1998⨽⊺⇮2385)⨟⋌⩍(⊺⇮1217↙⊺⇮1172))=NaN","reverse_text":"NaN=(((⊺⇮1296⋥≓≎⊺⇮6217)≫≃)⋓(⊺⇮3543⇷⊺⇮3823)↬(⊺⇮5933⨎⊺⇮2148))⪮%⊝((↣≠⋷(⊺⇮5832⫥∨⫟⊺⇮1128))⪒(⊺⇮1998⨽⊺⇮2385)⨟⋌⩍(⊺⇮1217↙⊺⇮1172))","cot":[{"info":"⊺⇮1296⋥≓≎⊺⇮6217=⊺⇮11171","layer":3},{"info":"⊺⇮11171≫≃=⊺⇮23743","layer":2},{"info":"⊺⇮3543⇷⊺⇮3823=⊺⇮7646","layer":3},{"info":"⊺⇮5933⨎⊺⇮2148=⊺⇮2148","layer":3},{"info":"⊺⇮7646↬⊺⇮2148=NaN","layer":2},{"info":"⊺⇮23743⋓NaN=NaN","layer":1},{"info":"⊺⇮5832⫥∨⫟⊺⇮1128=NaN","layer":3},{"info":"↣≠⋷NaN=NaN","layer":2},{"info":"⊺⇮1998⨽⊺⇮2385=⊺⇮-11981853","layer":3},{"info":"⊺⇮1217↙⊺⇮1172=⊺⇮-3516","layer":3},{"info":"⊺⇮-11981853⨟⋌⩍⊺⇮-3516=NaN","layer":2},{"info":"NaN⪒NaN=NaN","layer":1},{"info":"NaN⪮%⊝NaN=NaN","layer":0}]}
{"id":698,"expression_no_base_symbol":"(∂(($4178$↛⩡⫤)⪨≂$2033$⪄$3072$))⋓((≦∁(↽≂$2416$))≎⊠⪸$1363$∑⇟⊟$3173$⨓($1542$⫥∨⫟$1971$))","expression":"(∂((⊺⇮4178↛⩡⫤)⪨≂⊺⇮2033⪄⊺⇮3072))⋓((≦∁(↽≂⊺⇮2416))≎⊠⪸⊺⇮1363∑⇟⊟⊺⇮3173⨓(⊺⇮1542⫥∨⫟⊺⇮1971))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":13416,"operation_count":11,"complexity_ratio":1219.6363636363637,"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":4178,"base":10}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2033,"base":10},"right_expr":{"type":"numeric_atoms","value":3072,"base":10}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2416,"base":10}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1363,"base":10},"right_expr":{"type":"numeric_atoms","value":3173,"base":10}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1542,"base":10},"right_expr":{"type":"numeric_atoms","value":1971,"base":10}}}}},"used_operators":["T2fj7uvVaJ","Uaa54Peajs","sdazOOVcIp","FU0Cs4j7VP","SUmda5xLS4","bJkvcejdHO","9ICcGScMcE","u6S6b8DprG","3ViojmjbAp","U7g4x0WXJJ","KYD54nUTWz"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","8HhzD0ZcuI","rGHVDoGpnC"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4178","layer":4},{"info":"compute unary expreesion, input=4178, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-626967","layer":3},{"info":"number node, value=2033","layer":4},{"info":"number node, value=3072","layer":4},{"info":"compute binary expreesion, left_input=2033, right_input=3072, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-309261","layer":3},{"info":"compute binary expreesion, left_input=-626967, right_input=-309261, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-635310","layer":2},{"info":"compute unary expreesion, input=-635310, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=635046","layer":1},{"info":"number node, value=2416","layer":4},{"info":"compute unary expreesion, input=2416, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-4832","layer":3},{"info":"compute unary expreesion, input=-4832, 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=1363","layer":4},{"info":"number node, value=3173","layer":4},{"info":"compute binary expreesion, left_input=1363, right_input=3173, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1542","layer":4},{"info":"number node, value=1971","layer":4},{"info":"compute binary expreesion, left_input=1542, right_input=1971, 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 = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = 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=635046, right_input=67, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":0}],"base":10,"result_base":10,"text":"(∂((⊺⇮4178↛⩡⫤)⪨≂⊺⇮2033⪄⊺⇮3072))⋓((≦∁(↽≂⊺⇮2416))≎⊠⪸⊺⇮1363∑⇟⊟⊺⇮3173⨓(⊺⇮1542⫥∨⫟⊺⇮1971))=⊺⇮0","reverse_text":"⊺⇮0=(∂((⊺⇮4178↛⩡⫤)⪨≂⊺⇮2033⪄⊺⇮3072))⋓((≦∁(↽≂⊺⇮2416))≎⊠⪸⊺⇮1363∑⇟⊟⊺⇮3173⨓(⊺⇮1542⫥∨⫟⊺⇮1971))","cot":[{"info":"⊺⇮4178↛⩡⫤=⊺⇮-626967","layer":3},{"info":"⊺⇮2033⪄⊺⇮3072=⊺⇮-309261","layer":3},{"info":"⊺⇮-626967⪨≂⊺⇮-309261=⊺⇮-635310","layer":2},{"info":"∂⊺⇮-635310=⊺⇮635046","layer":1},{"info":"↽≂⊺⇮2416=⊺⇮-4832","layer":3},{"info":"≦∁⊺⇮-4832=⊺⇮67","layer":2},{"info":"⊺⇮1363∑⇟⊟⊺⇮3173=NaN","layer":3},{"info":"⊺⇮1542⫥∨⫟⊺⇮1971=NaN","layer":3},{"info":"NaN⨓NaN=NaN","layer":2},{"info":"⊺⇮67≎⊠⪸NaN=⊺⇮67","layer":1},{"info":"⊺⇮635046⋓⊺⇮67=⊺⇮0","layer":0}]}
{"id":699,"expression_no_base_symbol":"↽≂((⨈⫕$1006$)∑⇟⊟($4283$⊦⊿)%$7120$⨪↰⇹$4813$⨸⪁(≉$1118$))","expression":"↽≂((⨈⫕⊺⇮1006)∑⇟⊟(⊺⇮4283⊦⊿)%⊺⇮7120⨪↰⇹⊺⇮4813⨸⪁(≉⊺⇮1118))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7522,"operation_count":8,"complexity_ratio":940.25,"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":1006,"base":10}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":4283,"base":10}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":7120,"base":10},"right_expr":{"type":"numeric_atoms","value":4813,"base":10}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1118,"base":10}}}}},"used_operators":["u6S6b8DprG","k8jYdgA6NY","U7g4x0WXJJ","megm06wKyl","14qkJME0vr","g55IO6H4Gj","tmPS8pqC7x","e1ybzncUwg"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1006","layer":4},{"info":"compute unary expreesion, input=1006, 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=4283","layer":4},{"info":"compute unary expreesion, input=4283, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-12928","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-12928, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=7120","layer":4},{"info":"number node, value=4813","layer":4},{"info":"compute binary expreesion, left_input=7120, right_input=4813, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=7120","layer":3},{"info":"number node, value=1118","layer":4},{"info":"compute unary expreesion, input=1118, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1649","layer":3},{"info":"compute binary expreesion, left_input=7120, right_input=1649, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=17538","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=17538, op_id = k8jYdgA6NY binary_op_definition= 'None', 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":10,"result_base":10,"text":"↽≂((⨈⫕⊺⇮1006)∑⇟⊟(⊺⇮4283⊦⊿)%⊺⇮7120⨪↰⇹⊺⇮4813⨸⪁(≉⊺⇮1118))=NaN","reverse_text":"NaN=↽≂((⨈⫕⊺⇮1006)∑⇟⊟(⊺⇮4283⊦⊿)%⊺⇮7120⨪↰⇹⊺⇮4813⨸⪁(≉⊺⇮1118))","cot":[{"info":"⨈⫕⊺⇮1006=⊺⇮-21","layer":3},{"info":"⊺⇮4283⊦⊿=⊺⇮-12928","layer":3},{"info":"⊺⇮-21∑⇟⊟⊺⇮-12928=NaN","layer":2},{"info":"⊺⇮7120⨪↰⇹⊺⇮4813=⊺⇮7120","layer":3},{"info":"≉⊺⇮1118=⊺⇮1649","layer":3},{"info":"⊺⇮7120⨸⪁⊺⇮1649=⊺⇮17538","layer":2},{"info":"NaN%⊺⇮17538=NaN","layer":1},{"info":"↽≂NaN=NaN","layer":0}]}
{"id":700,"expression_no_base_symbol":"($1386$⪄$1006$)≧⫂∧($6694$⩨$3325$)⋓($5263$∼$1075$⊦⊿)⋝⋈⪟((∥⊫$2834$)⨐⩸⫘$1564$⩚⊴⇥$1111$)⪛($3295$⨪↰⇹$4819$↺(≉$3005$))","expression":"(⊺⇮1386⪄⊺⇮1006)≧⫂∧(⊺⇮6694⩨⊺⇮3325)⋓(⊺⇮5263∼⊺⇮1075⊦⊿)⋝⋈⪟((∥⊫⊺⇮2834)⨐⩸⫘⊺⇮1564⩚⊴⇥⊺⇮1111)⪛(⊺⇮3295⨪↰⇹⊺⇮4819↺(≉⊺⇮3005))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3538,"operation_count":14,"complexity_ratio":252.71428571428572,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1386,"base":10},"right_expr":{"type":"numeric_atoms","value":1006,"base":10}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":6694,"base":10},"right_expr":{"type":"numeric_atoms","value":3325,"base":10}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5263,"base":10},"right_expr":{"type":"numeric_atoms","value":1075,"base":10}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":2834,"base":10}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1564,"base":10},"right_expr":{"type":"numeric_atoms","value":1111,"base":10}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3295,"base":10},"right_expr":{"type":"numeric_atoms","value":4819,"base":10}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":3005,"base":10}}}}},"used_operators":["2DDjHMKMc0","T2fj7uvVaJ","Ph9nP6C5qx","SUmda5xLS4","2DlMacCsIx","14qkJME0vr","DyGG3AbaNP","uFcxV4UQCh","fu6greOZ01","P8v4zCKN1o","NTOWxs364D","7j4O788W3g","tmPS8pqC7x","e1ybzncUwg"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1386","layer":4},{"info":"number node, value=1006","layer":4},{"info":"compute binary expreesion, left_input=1386, right_input=1006, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-205241","layer":3},{"info":"number node, value=6694","layer":4},{"info":"number node, value=3325","layer":4},{"info":"compute binary expreesion, left_input=6694, right_input=3325, 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=-205241, right_input=0, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-473","layer":2},{"info":"number node, value=5263","layer":4},{"info":"number node, value=1075","layer":4},{"info":"compute binary expreesion, left_input=5263, right_input=1075, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-473, 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=2834","layer":4},{"info":"compute unary expreesion, input=2834, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3702","layer":3},{"info":"number node, value=1564","layer":4},{"info":"number node, value=1111","layer":4},{"info":"compute binary expreesion, left_input=1564, right_input=1111, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2796","layer":3},{"info":"compute binary expreesion, left_input=3702, right_input=-2796, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=3295","layer":4},{"info":"number node, value=4819","layer":4},{"info":"compute binary expreesion, left_input=3295, right_input=4819, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3295","layer":3},{"info":"number node, value=3005","layer":4},{"info":"compute unary expreesion, input=3005, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3536","layer":3},{"info":"compute binary expreesion, left_input=3295, right_input=3536, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3536","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3536, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1386⪄⊺⇮1006)≧⫂∧(⊺⇮6694⩨⊺⇮3325)⋓(⊺⇮5263∼⊺⇮1075⊦⊿)⋝⋈⪟((∥⊫⊺⇮2834)⨐⩸⫘⊺⇮1564⩚⊴⇥⊺⇮1111)⪛(⊺⇮3295⨪↰⇹⊺⇮4819↺(≉⊺⇮3005))=NaN","reverse_text":"NaN=(⊺⇮1386⪄⊺⇮1006)≧⫂∧(⊺⇮6694⩨⊺⇮3325)⋓(⊺⇮5263∼⊺⇮1075⊦⊿)⋝⋈⪟((∥⊫⊺⇮2834)⨐⩸⫘⊺⇮1564⩚⊴⇥⊺⇮1111)⪛(⊺⇮3295⨪↰⇹⊺⇮4819↺(≉⊺⇮3005))","cot":[{"info":"⊺⇮1386⪄⊺⇮1006=⊺⇮-205241","layer":3},{"info":"⊺⇮6694⩨⊺⇮3325=⊺⇮0","layer":3},{"info":"⊺⇮-205241≧⫂∧⊺⇮0=⊺⇮-473","layer":2},{"info":"⊺⇮5263∼⊺⇮1075=NaN","layer":3},{"info":"NaN⊦⊿=NaN","layer":2},{"info":"⊺⇮-473⋓NaN=NaN","layer":1},{"info":"∥⊫⊺⇮2834=⊺⇮3702","layer":3},{"info":"⊺⇮1564⩚⊴⇥⊺⇮1111=⊺⇮-2796","layer":3},{"info":"⊺⇮3702⨐⩸⫘⊺⇮-2796=NaN","layer":2},{"info":"⊺⇮3295⨪↰⇹⊺⇮4819=⊺⇮3295","layer":3},{"info":"≉⊺⇮3005=⊺⇮3536","layer":3},{"info":"⊺⇮3295↺⊺⇮3536=⊺⇮3536","layer":2},{"info":"NaN⪛⊺⇮3536=NaN","layer":1},{"info":"NaN⋝⋈⪟NaN=NaN","layer":0}]}
{"id":701,"expression_no_base_symbol":"↽≂(⊙↵-(⨈⫕$1228$⊴$1018$))","expression":"↽≂(⊙↵-(⨈⫕⊺⇮1228⊴⊺⇮1018))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1912,"operation_count":4,"complexity_ratio":478.0,"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":1228,"base":10},"right_expr":{"type":"numeric_atoms","value":1018,"base":10}}}}},"used_operators":["u6S6b8DprG","oWn0xqSxBt","megm06wKyl","Nsiff2A1zJ"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","dWAJyo7jo9","14qkJME0vr"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=1228","layer":4},{"info":"number node, value=1018","layer":4},{"info":"compute binary expreesion, left_input=1228, right_input=1018, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":2},{"info":"compute unary expreesion, input=-21, 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 = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=0","layer":0}],"base":10,"result_base":10,"text":"↽≂(⊙↵-(⨈⫕⊺⇮1228⊴⊺⇮1018))=⊺⇮0","reverse_text":"⊺⇮0=↽≂(⊙↵-(⨈⫕⊺⇮1228⊴⊺⇮1018))","cot":[{"info":"⊺⇮1228⊴⊺⇮1018=NaN","layer":3},{"info":"⨈⫕NaN=⊺⇮-21","layer":2},{"info":"⊙↵-⊺⇮-21=⊺⇮0","layer":1},{"info":"↽≂⊺⇮0=⊺⇮0","layer":0}]}
{"id":702,"expression_no_base_symbol":"(⨑⩽⪐($1469$⨎$1142$)≧⫂∧($1554$⫡⨏$4584$))⋷(≤/(∂$5605$))⪒$1192$⫥∨⫟$2338$∲⫓$2271$∼$2388$","expression":"(⨑⩽⪐(⊺⇮1469⨎⊺⇮1142)≧⫂∧(⊺⇮1554⫡⨏⊺⇮4584))⋷(≤/(∂⊺⇮5605))⪒⊺⇮1192⫥∨⫟⊺⇮2338∲⫓⊺⇮2271∼⊺⇮2388","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":222,"operation_count":11,"complexity_ratio":20.181818181818183,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1469,"base":10},"right_expr":{"type":"numeric_atoms","value":1142,"base":10}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1554,"base":10},"right_expr":{"type":"numeric_atoms","value":4584,"base":10}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":5605,"base":10}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1192,"base":10},"right_expr":{"type":"numeric_atoms","value":2338,"base":10}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2271,"base":10},"right_expr":{"type":"numeric_atoms","value":2388,"base":10}}}}},"used_operators":["23Mk6UjR3U","AF7qkfDlqP","Ph9nP6C5qx","rJVOvQCfKK","QMFrweE19q","f6k1SAg4EE","eLAdDNolq6","Uaa54Peajs","i8ToyICDmI","KYD54nUTWz","DyGG3AbaNP"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"⊺⇮33950","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1469","layer":4},{"info":"number node, value=1142","layer":4},{"info":"compute binary expreesion, left_input=1469, right_input=1142, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1142","layer":3},{"info":"number node, value=1554","layer":4},{"info":"number node, value=4584","layer":4},{"info":"compute binary expreesion, left_input=1554, right_input=4584, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=17721","layer":3},{"info":"compute binary expreesion, left_input=1142, right_input=17721, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=17248","layer":2},{"info":"compute unary expreesion, input=17248, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-16975","layer":1},{"info":"number node, value=5605","layer":4},{"info":"compute unary expreesion, input=5605, 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 = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":2},{"info":"number node, value=1192","layer":4},{"info":"number node, value=2338","layer":4},{"info":"compute binary expreesion, left_input=1192, right_input=2338, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=2271","layer":4},{"info":"number node, value=2388","layer":4},{"info":"compute binary expreesion, left_input=2271, right_input=2388, 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 = 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 = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-16975, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=33950","layer":0}],"base":10,"result_base":10,"text":"(⨑⩽⪐(⊺⇮1469⨎⊺⇮1142)≧⫂∧(⊺⇮1554⫡⨏⊺⇮4584))⋷(≤/(∂⊺⇮5605))⪒⊺⇮1192⫥∨⫟⊺⇮2338∲⫓⊺⇮2271∼⊺⇮2388=⊺⇮33950","reverse_text":"⊺⇮33950=(⨑⩽⪐(⊺⇮1469⨎⊺⇮1142)≧⫂∧(⊺⇮1554⫡⨏⊺⇮4584))⋷(≤/(∂⊺⇮5605))⪒⊺⇮1192⫥∨⫟⊺⇮2338∲⫓⊺⇮2271∼⊺⇮2388","cot":[{"info":"⊺⇮1469⨎⊺⇮1142=⊺⇮1142","layer":3},{"info":"⊺⇮1554⫡⨏⊺⇮4584=⊺⇮17721","layer":3},{"info":"⊺⇮1142≧⫂∧⊺⇮17721=⊺⇮17248","layer":2},{"info":"⨑⩽⪐⊺⇮17248=⊺⇮-16975","layer":1},{"info":"∂⊺⇮5605=NaN","layer":3},{"info":"≤/NaN=NaN","layer":2},{"info":"⊺⇮1192⫥∨⫟⊺⇮2338=NaN","layer":3},{"info":"⊺⇮2271∼⊺⇮2388=NaN","layer":3},{"info":"NaN∲⫓NaN=NaN","layer":2},{"info":"NaN⪒NaN=NaN","layer":1},{"info":"⊺⇮-16975⋷NaN=⊺⇮33950","layer":0}]}
{"id":703,"expression_no_base_symbol":"⋗⩬⋾($2126$*$3664$*$6956$↺$3514$-($1095$⪨≂$1378$)≎⊠⪸($2568$⪒$3507$))","expression":"⋗⩬⋾(⊺⇮2126*⊺⇮3664*⊺⇮6956↺⊺⇮3514-(⊺⇮1095⪨≂⊺⇮1378)≎⊠⪸(⊺⇮2568⪒⊺⇮3507))","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":5665,"operation_count":8,"complexity_ratio":708.125,"tree":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2126,"base":10},"right_expr":{"type":"numeric_atoms","value":3664,"base":10}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":6956,"base":10},"right_expr":{"type":"numeric_atoms","value":3514,"base":10}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1095,"base":10},"right_expr":{"type":"numeric_atoms","value":1378,"base":10}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2568,"base":10},"right_expr":{"type":"numeric_atoms","value":3507,"base":10}}}}},"used_operators":["DpFCA1CohY","rysDP5nf3Z","9HNa5Wba9A","7j4O788W3g","bJkvcejdHO","sdazOOVcIp","f6k1SAg4EE"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"-Inf","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2126","layer":4},{"info":"number node, value=3664","layer":4},{"info":"compute binary expreesion, left_input=2126, right_input=3664, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=7789664","layer":3},{"info":"number node, value=6956","layer":4},{"info":"number node, value=3514","layer":4},{"info":"compute binary expreesion, left_input=6956, right_input=3514, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3514","layer":3},{"info":"compute binary expreesion, left_input=7789664, right_input=3514, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=inf","layer":2},{"info":"number node, value=1095","layer":4},{"info":"number node, value=1378","layer":4},{"info":"compute binary expreesion, left_input=1095, right_input=1378, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-464","layer":3},{"info":"number node, value=2568","layer":4},{"info":"number node, value=3507","layer":4},{"info":"compute binary expreesion, left_input=2568, right_input=3507, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6075","layer":3},{"info":"compute binary expreesion, left_input=-464, right_input=-6075, 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=inf, right_input=67, op_id = rysDP5nf3Z binary_op_definition= 'None', output=inf","layer":1},{"info":"compute unary expreesion, input=inf, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-inf","layer":0}],"base":10,"result_base":10,"text":"⋗⩬⋾(⊺⇮2126*⊺⇮3664*⊺⇮6956↺⊺⇮3514-(⊺⇮1095⪨≂⊺⇮1378)≎⊠⪸(⊺⇮2568⪒⊺⇮3507))=-Inf","reverse_text":"-Inf=⋗⩬⋾(⊺⇮2126*⊺⇮3664*⊺⇮6956↺⊺⇮3514-(⊺⇮1095⪨≂⊺⇮1378)≎⊠⪸(⊺⇮2568⪒⊺⇮3507))","cot":[{"info":"⊺⇮2126*⊺⇮3664=⊺⇮7789664","layer":3},{"info":"⊺⇮6956↺⊺⇮3514=⊺⇮3514","layer":3},{"info":"⊺⇮7789664*⊺⇮3514=Inf","layer":2},{"info":"⊺⇮1095⪨≂⊺⇮1378=⊺⇮-464","layer":3},{"info":"⊺⇮2568⪒⊺⇮3507=⊺⇮-6075","layer":3},{"info":"⊺⇮-464≎⊠⪸⊺⇮-6075=⊺⇮67","layer":2},{"info":"Inf-⊺⇮67=Inf","layer":1},{"info":"⋗⩬⋾Inf=-Inf","layer":0}]}
{"id":704,"expression_no_base_symbol":"(($3337$-$2934$⫡⨏$2476$-$1468$)⫌⩹⨱)↺(≦∁(↽≂$6752$))⨐⩸⫘($1976$⋥≓≎$1531$⫡⨏$4916$⨽$1616$)","expression":"((⊺⇮3337-⊺⇮2934⫡⨏⊺⇮2476-⊺⇮1468)⫌⩹⨱)↺(≦∁(↽≂⊺⇮6752))⨐⩸⫘(⊺⇮1976⋥≓≎⊺⇮1531⫡⨏⊺⇮4916⨽⊺⇮1616)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":5028,"operation_count":11,"complexity_ratio":457.09090909090907,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3337,"base":10},"right_expr":{"type":"numeric_atoms","value":2934,"base":10}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2476,"base":10},"right_expr":{"type":"numeric_atoms","value":1468,"base":10}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":6752,"base":10}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1976,"base":10},"right_expr":{"type":"numeric_atoms","value":1531,"base":10}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4916,"base":10},"right_expr":{"type":"numeric_atoms","value":1616,"base":10}}}}},"used_operators":["7j4O788W3g","EBcxylXtPf","QMFrweE19q","rysDP5nf3Z","fu6greOZ01","9ICcGScMcE","u6S6b8DprG","Qy55tPpLXF","8HhzD0ZcuI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3337","layer":4},{"info":"number node, value=2934","layer":4},{"info":"compute binary expreesion, left_input=3337, right_input=2934, op_id = rysDP5nf3Z binary_op_definition= 'None', output=403","layer":3},{"info":"number node, value=2476","layer":4},{"info":"number node, value=1468","layer":4},{"info":"compute binary expreesion, left_input=2476, right_input=1468, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1008","layer":3},{"info":"compute binary expreesion, left_input=403, right_input=1008, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=4814","layer":2},{"info":"compute unary expreesion, input=4814, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=11029","layer":1},{"info":"number node, value=6752","layer":4},{"info":"compute unary expreesion, input=6752, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-13504","layer":3},{"info":"compute unary expreesion, input=-13504, 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=1976","layer":4},{"info":"number node, value=1531","layer":4},{"info":"compute binary expreesion, left_input=1976, right_input=1531, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1119","layer":3},{"info":"number node, value=4916","layer":4},{"info":"number node, value=1616","layer":4},{"info":"compute binary expreesion, left_input=4916, right_input=1616, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-72504702","layer":3},{"info":"compute binary expreesion, left_input=1119, right_input=-72504702, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-145003026","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-145003026, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=11029, 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":10,"result_base":10,"text":"((⊺⇮3337-⊺⇮2934⫡⨏⊺⇮2476-⊺⇮1468)⫌⩹⨱)↺(≦∁(↽≂⊺⇮6752))⨐⩸⫘(⊺⇮1976⋥≓≎⊺⇮1531⫡⨏⊺⇮4916⨽⊺⇮1616)=NaN","reverse_text":"NaN=((⊺⇮3337-⊺⇮2934⫡⨏⊺⇮2476-⊺⇮1468)⫌⩹⨱)↺(≦∁(↽≂⊺⇮6752))⨐⩸⫘(⊺⇮1976⋥≓≎⊺⇮1531⫡⨏⊺⇮4916⨽⊺⇮1616)","cot":[{"info":"⊺⇮3337-⊺⇮2934=⊺⇮403","layer":3},{"info":"⊺⇮2476-⊺⇮1468=⊺⇮1008","layer":3},{"info":"⊺⇮403⫡⨏⊺⇮1008=⊺⇮4814","layer":2},{"info":"⊺⇮4814⫌⩹⨱=⊺⇮11029","layer":1},{"info":"↽≂⊺⇮6752=⊺⇮-13504","layer":3},{"info":"≦∁⊺⇮-13504=⊺⇮67","layer":2},{"info":"⊺⇮1976⋥≓≎⊺⇮1531=⊺⇮1119","layer":3},{"info":"⊺⇮4916⨽⊺⇮1616=⊺⇮-72504702","layer":3},{"info":"⊺⇮1119⫡⨏⊺⇮-72504702=⊺⇮-145003026","layer":2},{"info":"⊺⇮67⨐⩸⫘⊺⇮-145003026=NaN","layer":1},{"info":"⊺⇮11029↺NaN=NaN","layer":0}]}
{"id":705,"expression_no_base_symbol":"((⩦⩻⨪$4384$)⋓($4655$↺$4509$)⊉≛↸(⪲⇎$6895$)⫥∨⫟($1677$⊭↱$4631$))⊴((⨵≀≌($4233$∲⫓$1240$))⩨($1993$∼$3632$%$3241$≭$1317$))","expression":"((⩦⩻⨪⊺⇮4384)⋓(⊺⇮4655↺⊺⇮4509)⊉≛↸(⪲⇎⊺⇮6895)⫥∨⫟(⊺⇮1677⊭↱⊺⇮4631))⊴((⨵≀≌(⊺⇮4233∲⫓⊺⇮1240))⩨(⊺⇮1993∼⊺⇮3632%⊺⇮3241≭⊺⇮1317))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":244,"operation_count":14,"complexity_ratio":17.428571428571427,"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":4384,"base":10}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":4655,"base":10},"right_expr":{"type":"numeric_atoms","value":4509,"base":10}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":6895,"base":10}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1677,"base":10},"right_expr":{"type":"numeric_atoms","value":4631,"base":10}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4233,"base":10},"right_expr":{"type":"numeric_atoms","value":1240,"base":10}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1993,"base":10},"right_expr":{"type":"numeric_atoms","value":3632,"base":10}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3241,"base":10},"right_expr":{"type":"numeric_atoms","value":1317,"base":10}}}}},"used_operators":["Nsiff2A1zJ","DZ8iAZOCBD","T2fj7uvVaJ","2td37pGCOC","7j4O788W3g","KYD54nUTWz","XPYlsWDdGa","COABgblf1C","2DlMacCsIx","srAu1WTS94","i8ToyICDmI","k8jYdgA6NY","DyGG3AbaNP","rxpJgHHUmx"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4384","layer":4},{"info":"compute unary expreesion, input=4384, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=4384","layer":3},{"info":"number node, value=4655","layer":4},{"info":"number node, value=4509","layer":4},{"info":"compute binary expreesion, left_input=4655, right_input=4509, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4509","layer":3},{"info":"compute binary expreesion, left_input=4384, right_input=4509, op_id = T2fj7uvVaJ binary_op_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=6895","layer":4},{"info":"compute unary expreesion, input=6895, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=13790","layer":3},{"info":"number node, value=1677","layer":4},{"info":"number node, value=4631","layer":4},{"info":"compute binary expreesion, left_input=1677, right_input=4631, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=5913","layer":3},{"info":"compute binary expreesion, left_input=13790, right_input=5913, 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 = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=0","layer":1},{"info":"number node, value=4233","layer":4},{"info":"number node, value=1240","layer":4},{"info":"compute binary expreesion, left_input=4233, right_input=1240, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=0","layer":2},{"info":"number node, value=1993","layer":4},{"info":"number node, value=3632","layer":4},{"info":"compute binary expreesion, left_input=1993, right_input=3632, 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=3241","layer":4},{"info":"number node, value=1317","layer":4},{"info":"compute binary expreesion, left_input=3241, right_input=1317, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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 = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"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":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⩦⩻⨪⊺⇮4384)⋓(⊺⇮4655↺⊺⇮4509)⊉≛↸(⪲⇎⊺⇮6895)⫥∨⫟(⊺⇮1677⊭↱⊺⇮4631))⊴((⨵≀≌(⊺⇮4233∲⫓⊺⇮1240))⩨(⊺⇮1993∼⊺⇮3632%⊺⇮3241≭⊺⇮1317))=NaN","reverse_text":"NaN=((⩦⩻⨪⊺⇮4384)⋓(⊺⇮4655↺⊺⇮4509)⊉≛↸(⪲⇎⊺⇮6895)⫥∨⫟(⊺⇮1677⊭↱⊺⇮4631))⊴((⨵≀≌(⊺⇮4233∲⫓⊺⇮1240))⩨(⊺⇮1993∼⊺⇮3632%⊺⇮3241≭⊺⇮1317))","cot":[{"info":"⩦⩻⨪⊺⇮4384=⊺⇮4384","layer":3},{"info":"⊺⇮4655↺⊺⇮4509=⊺⇮4509","layer":3},{"info":"⊺⇮4384⋓⊺⇮4509=⊺⇮0","layer":2},{"info":"⪲⇎⊺⇮6895=⊺⇮13790","layer":3},{"info":"⊺⇮1677⊭↱⊺⇮4631=⊺⇮5913","layer":3},{"info":"⊺⇮13790⫥∨⫟⊺⇮5913=NaN","layer":2},{"info":"⊺⇮0⊉≛↸NaN=⊺⇮0","layer":1},{"info":"⊺⇮4233∲⫓⊺⇮1240=⊺⇮0","layer":3},{"info":"⨵≀≌⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮1993∼⊺⇮3632=NaN","layer":3},{"info":"⊺⇮3241≭⊺⇮1317=NaN","layer":3},{"info":"NaN%NaN=NaN","layer":2},{"info":"⊺⇮0⩨NaN=NaN","layer":1},{"info":"⊺⇮0⊴NaN=NaN","layer":0}]}
{"id":706,"expression_no_base_symbol":"((≤/$5606$)⋷$6767$↙$1483$)⨎$1425$∀⇚≩$6061$⋝⋈⪟($2810$≫≃)⊉≛↸($2553$⪒$1537$)⨐⩸⫘($3377$⊭∹↮)↙($1335$⇷$1000$⨵⪆$1071$%$4812$)","expression":"((≤/⊺⇮5606)⋷⊺⇮6767↙⊺⇮1483)⨎⊺⇮1425∀⇚≩⊺⇮6061⋝⋈⪟(⊺⇮2810≫≃)⊉≛↸(⊺⇮2553⪒⊺⇮1537)⨐⩸⫘(⊺⇮3377⊭∹↮)↙(⊺⇮1335⇷⊺⇮1000⨵⪆⊺⇮1071%⊺⇮4812)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":30186,"operation_count":15,"complexity_ratio":2012.4,"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":5606,"base":10}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":6767,"base":10},"right_expr":{"type":"numeric_atoms","value":1483,"base":10}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1425,"base":10},"right_expr":{"type":"numeric_atoms","value":6061,"base":10}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":2810,"base":10}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2553,"base":10},"right_expr":{"type":"numeric_atoms","value":1537,"base":10}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":3377,"base":10}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1335,"base":10},"right_expr":{"type":"numeric_atoms","value":1000,"base":10}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1071,"base":10},"right_expr":{"type":"numeric_atoms","value":4812,"base":10}}}}},"used_operators":["DZ8iAZOCBD","rJVOvQCfKK","23Mk6UjR3U","eLAdDNolq6","yyfyN0ffXY","2DDjHMKMc0","LRNGc0VcxI","X99M06cbEe","fu6greOZ01","f6k1SAg4EE","xNBdhnnwKq","2DQ55sFlQl","mp7IySMOzn","k8jYdgA6NY"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5606","layer":4},{"info":"compute unary expreesion, input=5606, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-5122","layer":3},{"info":"number node, value=6767","layer":4},{"info":"number node, value=1483","layer":4},{"info":"compute binary expreesion, left_input=6767, right_input=1483, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4449","layer":3},{"info":"compute binary expreesion, left_input=-5122, right_input=-4449, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=10244","layer":2},{"info":"number node, value=1425","layer":4},{"info":"number node, value=6061","layer":4},{"info":"compute binary expreesion, left_input=1425, right_input=6061, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=2810","layer":4},{"info":"compute unary expreesion, input=2810, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=7021","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7021, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=10244, 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=2553","layer":4},{"info":"number node, value=1537","layer":4},{"info":"compute binary expreesion, left_input=2553, right_input=1537, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4090","layer":3},{"info":"number node, value=3377","layer":4},{"info":"compute unary expreesion, input=3377, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=6754","layer":3},{"info":"compute binary expreesion, left_input=-4090, right_input=6754, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=1335","layer":4},{"info":"number node, value=1000","layer":4},{"info":"compute binary expreesion, left_input=1335, right_input=1000, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2000","layer":3},{"info":"number node, value=1071","layer":4},{"info":"number node, value=4812","layer":4},{"info":"compute binary expreesion, left_input=1071, right_input=4812, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1071","layer":3},{"info":"compute binary expreesion, left_input=2000, right_input=1071, 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 = 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 = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((≤/⊺⇮5606)⋷⊺⇮6767↙⊺⇮1483)⨎⊺⇮1425∀⇚≩⊺⇮6061⋝⋈⪟(⊺⇮2810≫≃)⊉≛↸(⊺⇮2553⪒⊺⇮1537)⨐⩸⫘(⊺⇮3377⊭∹↮)↙(⊺⇮1335⇷⊺⇮1000⨵⪆⊺⇮1071%⊺⇮4812)=NaN","reverse_text":"NaN=((≤/⊺⇮5606)⋷⊺⇮6767↙⊺⇮1483)⨎⊺⇮1425∀⇚≩⊺⇮6061⋝⋈⪟(⊺⇮2810≫≃)⊉≛↸(⊺⇮2553⪒⊺⇮1537)⨐⩸⫘(⊺⇮3377⊭∹↮)↙(⊺⇮1335⇷⊺⇮1000⨵⪆⊺⇮1071%⊺⇮4812)","cot":[{"info":"≤/⊺⇮5606=⊺⇮-5122","layer":3},{"info":"⊺⇮6767↙⊺⇮1483=⊺⇮-4449","layer":3},{"info":"⊺⇮-5122⋷⊺⇮-4449=⊺⇮10244","layer":2},{"info":"⊺⇮1425∀⇚≩⊺⇮6061=NaN","layer":3},{"info":"⊺⇮2810≫≃=⊺⇮7021","layer":3},{"info":"NaN⋝⋈⪟⊺⇮7021=NaN","layer":2},{"info":"⊺⇮10244⨎NaN=NaN","layer":1},{"info":"⊺⇮2553⪒⊺⇮1537=⊺⇮-4090","layer":3},{"info":"⊺⇮3377⊭∹↮=⊺⇮6754","layer":3},{"info":"⊺⇮-4090⨐⩸⫘⊺⇮6754=NaN","layer":2},{"info":"⊺⇮1335⇷⊺⇮1000=⊺⇮2000","layer":3},{"info":"⊺⇮1071%⊺⇮4812=⊺⇮1071","layer":3},{"info":"⊺⇮2000⨵⪆⊺⇮1071=⊺⇮160","layer":2},{"info":"NaN↙⊺⇮160=NaN","layer":1},{"info":"NaN⊉≛↸NaN=NaN","layer":0}]}
{"id":707,"expression_no_base_symbol":"($6494$⊉≛↸$1180$)∑⇟⊟($3533$⫥∨⫟$5686$)⨸⪁(↔($4802$⩚⊴⇥$3594$))⪨≂($6098$⊦⊿)⪄(⪝⪂⫅$1241$)⩨$3127$⋳⪒$6741$⋥≓≎$5268$⋝⋈⪟$1738$","expression":"(⊺⇮6494⊉≛↸⊺⇮1180)∑⇟⊟(⊺⇮3533⫥∨⫟⊺⇮5686)⨸⪁(↔(⊺⇮4802⩚⊴⇥⊺⇮3594))⪨≂(⊺⇮6098⊦⊿)⪄(⪝⪂⫅⊺⇮1241)⩨⊺⇮3127⋳⪒⊺⇮6741⋥≓≎⊺⇮5268⋝⋈⪟⊺⇮1738","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":454,"operation_count":14,"complexity_ratio":32.42857142857143,"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":6494,"base":10},"right_expr":{"type":"numeric_atoms","value":1180,"base":10}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3533,"base":10},"right_expr":{"type":"numeric_atoms","value":5686,"base":10}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4802,"base":10},"right_expr":{"type":"numeric_atoms","value":3594,"base":10}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":6098,"base":10}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1241,"base":10}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3127,"base":10},"right_expr":{"type":"numeric_atoms","value":6741,"base":10}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":5268,"base":10},"right_expr":{"type":"numeric_atoms","value":1738,"base":10}}}}},"used_operators":["sdazOOVcIp","g55IO6H4Gj","U7g4x0WXJJ","DZ8iAZOCBD","KYD54nUTWz","ruOEQAzv1W","NTOWxs364D","2DlMacCsIx","SUmda5xLS4","14qkJME0vr","XTarYq4gQB","Qy55tPpLXF","12rbrZMWeM","2DDjHMKMc0"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6494","layer":4},{"info":"number node, value=1180","layer":4},{"info":"compute binary expreesion, left_input=6494, right_input=1180, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=12988","layer":3},{"info":"number node, value=3533","layer":4},{"info":"number node, value=5686","layer":4},{"info":"compute binary expreesion, left_input=3533, right_input=5686, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=12988, 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=4802","layer":4},{"info":"number node, value=3594","layer":4},{"info":"compute binary expreesion, left_input=4802, right_input=3594, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8517","layer":3},{"info":"compute unary expreesion, input=-8517, 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 = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"number node, value=6098","layer":4},{"info":"compute unary expreesion, input=6098, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-18373","layer":3},{"info":"number node, value=1241","layer":4},{"info":"compute unary expreesion, input=1241, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-182427","layer":3},{"info":"compute binary expreesion, left_input=-18373, right_input=-182427, 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=3127","layer":4},{"info":"number node, value=6741","layer":4},{"info":"compute binary expreesion, left_input=3127, right_input=6741, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-774","layer":3},{"info":"number node, value=5268","layer":4},{"info":"number node, value=1738","layer":4},{"info":"compute binary expreesion, left_input=5268, right_input=1738, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5268","layer":3},{"info":"compute binary expreesion, left_input=-774, right_input=5268, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=67, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 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":10,"result_base":10,"text":"(⊺⇮6494⊉≛↸⊺⇮1180)∑⇟⊟(⊺⇮3533⫥∨⫟⊺⇮5686)⨸⪁(↔(⊺⇮4802⩚⊴⇥⊺⇮3594))⪨≂(⊺⇮6098⊦⊿)⪄(⪝⪂⫅⊺⇮1241)⩨⊺⇮3127⋳⪒⊺⇮6741⋥≓≎⊺⇮5268⋝⋈⪟⊺⇮1738=NaN","reverse_text":"NaN=(⊺⇮6494⊉≛↸⊺⇮1180)∑⇟⊟(⊺⇮3533⫥∨⫟⊺⇮5686)⨸⪁(↔(⊺⇮4802⩚⊴⇥⊺⇮3594))⪨≂(⊺⇮6098⊦⊿)⪄(⪝⪂⫅⊺⇮1241)⩨⊺⇮3127⋳⪒⊺⇮6741⋥≓≎⊺⇮5268⋝⋈⪟⊺⇮1738","cot":[{"info":"⊺⇮6494⊉≛↸⊺⇮1180=⊺⇮12988","layer":3},{"info":"⊺⇮3533⫥∨⫟⊺⇮5686=NaN","layer":3},{"info":"⊺⇮12988∑⇟⊟NaN=NaN","layer":2},{"info":"⊺⇮4802⩚⊴⇥⊺⇮3594=⊺⇮-8517","layer":3},{"info":"↔⊺⇮-8517=⊺⇮-134","layer":2},{"info":"NaN⨸⪁⊺⇮-134=NaN","layer":1},{"info":"⊺⇮6098⊦⊿=⊺⇮-18373","layer":3},{"info":"⪝⪂⫅⊺⇮1241=⊺⇮-182427","layer":3},{"info":"⊺⇮-18373⪄⊺⇮-182427=⊺⇮3979","layer":2},{"info":"⊺⇮3127⋳⪒⊺⇮6741=⊺⇮-774","layer":3},{"info":"⊺⇮5268⋝⋈⪟⊺⇮1738=⊺⇮5268","layer":3},{"info":"⊺⇮-774⋥≓≎⊺⇮5268=⊺⇮67","layer":2},{"info":"⊺⇮3979⩨⊺⇮67=⊺⇮0","layer":1},{"info":"NaN⪨≂⊺⇮0=NaN","layer":0}]}
{"id":708,"expression_no_base_symbol":"((↔($7062$∲⫓$2010$))∲⫓($1815$∲⫓$2197$)⋳⪒$1001$∀⇚≩$3137$)⋓((≤/$2983$⨰$5477$)+⇶⊼($5582$∲⫓$4174$/$1100$⨳⩥⨓$2179$))","expression":"((↔(⊺⇮7062∲⫓⊺⇮2010))∲⫓(⊺⇮1815∲⫓⊺⇮2197)⋳⪒⊺⇮1001∀⇚≩⊺⇮3137)⋓((≤/⊺⇮2983⨰⊺⇮5477)+⇶⊼(⊺⇮5582∲⫓⊺⇮4174/⊺⇮1100⨳⩥⨓⊺⇮2179))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7057,"operation_count":13,"complexity_ratio":542.8461538461538,"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":7062,"base":10},"right_expr":{"type":"numeric_atoms","value":2010,"base":10}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1815,"base":10},"right_expr":{"type":"numeric_atoms","value":2197,"base":10}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1001,"base":10},"right_expr":{"type":"numeric_atoms","value":3137,"base":10}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2983,"base":10},"right_expr":{"type":"numeric_atoms","value":5477,"base":10}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":5582,"base":10},"right_expr":{"type":"numeric_atoms","value":4174,"base":10}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1100,"base":10},"right_expr":{"type":"numeric_atoms","value":2179,"base":10}}}}},"used_operators":["T2fj7uvVaJ","i8ToyICDmI","ruOEQAzv1W","12rbrZMWeM","LRNGc0VcxI","TpPTUOHfaN","eLAdDNolq6","eewbuw0ToL","XhwjNDsVaA","nCS4ZIUYfx"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","AHs5Up7iyr","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7062","layer":4},{"info":"number node, value=2010","layer":4},{"info":"compute binary expreesion, left_input=7062, right_input=2010, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=789","layer":2},{"info":"number node, value=1815","layer":4},{"info":"number node, value=2197","layer":4},{"info":"compute binary expreesion, left_input=1815, right_input=2197, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1001","layer":4},{"info":"number node, value=3137","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=3137, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=789, 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=2983","layer":4},{"info":"number node, value=5477","layer":4},{"info":"compute binary expreesion, left_input=2983, right_input=5477, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2484","layer":3},{"info":"compute unary expreesion, input=-2484, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=2968","layer":2},{"info":"number node, value=5582","layer":4},{"info":"number node, value=4174","layer":4},{"info":"compute binary expreesion, left_input=5582, right_input=4174, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1100","layer":4},{"info":"number node, value=2179","layer":4},{"info":"compute binary expreesion, left_input=1100, right_input=2179, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1079","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1079, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"info":"compute binary expreesion, left_input=2968, 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 = T2fj7uvVaJ binary_op_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":10,"result_base":10,"text":"((↔(⊺⇮7062∲⫓⊺⇮2010))∲⫓(⊺⇮1815∲⫓⊺⇮2197)⋳⪒⊺⇮1001∀⇚≩⊺⇮3137)⋓((≤/⊺⇮2983⨰⊺⇮5477)+⇶⊼(⊺⇮5582∲⫓⊺⇮4174/⊺⇮1100⨳⩥⨓⊺⇮2179))=⊺⇮0","reverse_text":"⊺⇮0=((↔(⊺⇮7062∲⫓⊺⇮2010))∲⫓(⊺⇮1815∲⫓⊺⇮2197)⋳⪒⊺⇮1001∀⇚≩⊺⇮3137)⋓((≤/⊺⇮2983⨰⊺⇮5477)+⇶⊼(⊺⇮5582∲⫓⊺⇮4174/⊺⇮1100⨳⩥⨓⊺⇮2179))","cot":[{"info":"⊺⇮7062∲⫓⊺⇮2010=⊺⇮0","layer":3},{"info":"↔⊺⇮0=⊺⇮789","layer":2},{"info":"⊺⇮1815∲⫓⊺⇮2197=⊺⇮0","layer":3},{"info":"⊺⇮1001∀⇚≩⊺⇮3137=NaN","layer":3},{"info":"⊺⇮0⋳⪒NaN=NaN","layer":2},{"info":"⊺⇮789∲⫓NaN=NaN","layer":1},{"info":"⊺⇮2983⨰⊺⇮5477=⊺⇮-2484","layer":3},{"info":"≤/⊺⇮-2484=⊺⇮2968","layer":2},{"info":"⊺⇮5582∲⫓⊺⇮4174=⊺⇮0","layer":3},{"info":"⊺⇮1100⨳⩥⨓⊺⇮2179=⊺⇮1079","layer":3},{"info":"⊺⇮0/⊺⇮1079=⊺⇮0","layer":2},{"info":"⊺⇮2968+⇶⊼⊺⇮0=⊺⇮0","layer":1},{"info":"NaN⋓⊺⇮0=⊺⇮0","layer":0}]}
{"id":709,"expression_no_base_symbol":"(⨞⊢($1643$⋥≓≎$5002$⋷$2056$⊉≛↸$1992$))⩷∴($2845$⨟⋌⩍$1522$⩷∴(↣≠⋷$1535$)⋝⋈⪟(-$4709$⋥≓≎$2240$))","expression":"(⨞⊢(⊺⇮1643⋥≓≎⊺⇮5002⋷⊺⇮2056⊉≛↸⊺⇮1992))⩷∴(⊺⇮2845⨟⋌⩍⊺⇮1522⩷∴(↣≠⋷⊺⇮1535)⋝⋈⪟(-⊺⇮4709⋥≓≎⊺⇮2240))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":35,"operation_count":11,"complexity_ratio":3.1818181818181817,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1643,"base":10},"right_expr":{"type":"numeric_atoms","value":5002,"base":10}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2056,"base":10},"right_expr":{"type":"numeric_atoms","value":1992,"base":10}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2845,"base":10},"right_expr":{"type":"numeric_atoms","value":1522,"base":10}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1535,"base":10}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4709,"base":10},"right_expr":{"type":"numeric_atoms","value":2240,"base":10}}}}},"used_operators":["9FxExcQeMw","xUOZtlo3hN","23Mk6UjR3U","Qy55tPpLXF","DZ8iAZOCBD","2DDjHMKMc0","rGHVDoGpnC","Asc51vEJeQ","t8gj7n24qd"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=1643","layer":4},{"info":"number node, value=5002","layer":4},{"info":"compute binary expreesion, left_input=1643, right_input=5002, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=8394","layer":3},{"info":"number node, value=2056","layer":4},{"info":"number node, value=1992","layer":4},{"info":"compute binary expreesion, left_input=2056, right_input=1992, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4112","layer":3},{"info":"compute binary expreesion, left_input=8394, right_input=4112, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-170","layer":2},{"info":"compute unary expreesion, input=-170, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-4","layer":1},{"info":"number node, value=2845","layer":4},{"info":"number node, value=1522","layer":4},{"info":"compute binary expreesion, left_input=2845, right_input=1522, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1535","layer":4},{"info":"compute unary expreesion, input=1535, 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 = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"number node, value=4709","layer":4},{"info":"number node, value=2240","layer":4},{"info":"compute binary expreesion, left_input=4709, right_input=2240, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-196","layer":3},{"info":"compute unary expreesion, input=-196, op_id = t8gj7n24qd, unary_op_definition = 'None', output=196","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=196, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-4, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⨞⊢(⊺⇮1643⋥≓≎⊺⇮5002⋷⊺⇮2056⊉≛↸⊺⇮1992))⩷∴(⊺⇮2845⨟⋌⩍⊺⇮1522⩷∴(↣≠⋷⊺⇮1535)⋝⋈⪟(-⊺⇮4709⋥≓≎⊺⇮2240))=NaN","reverse_text":"NaN=(⨞⊢(⊺⇮1643⋥≓≎⊺⇮5002⋷⊺⇮2056⊉≛↸⊺⇮1992))⩷∴(⊺⇮2845⨟⋌⩍⊺⇮1522⩷∴(↣≠⋷⊺⇮1535)⋝⋈⪟(-⊺⇮4709⋥≓≎⊺⇮2240))","cot":[{"info":"⊺⇮1643⋥≓≎⊺⇮5002=⊺⇮8394","layer":3},{"info":"⊺⇮2056⊉≛↸⊺⇮1992=⊺⇮4112","layer":3},{"info":"⊺⇮8394⋷⊺⇮4112=⊺⇮-170","layer":2},{"info":"⨞⊢⊺⇮-170=⊺⇮-4","layer":1},{"info":"⊺⇮2845⨟⋌⩍⊺⇮1522=NaN","layer":3},{"info":"↣≠⋷⊺⇮1535=NaN","layer":3},{"info":"NaN⩷∴NaN=NaN","layer":2},{"info":"⊺⇮4709⋥≓≎⊺⇮2240=⊺⇮-196","layer":3},{"info":"-⊺⇮-196=⊺⇮196","layer":2},{"info":"NaN⋝⋈⪟⊺⇮196=NaN","layer":1},{"info":"⊺⇮-4⩷∴NaN=NaN","layer":0}]}
{"id":710,"expression_no_base_symbol":"(($3603$⫥∨⫟$1910$)⋝⋈⪟($1077$/$2394$)-($4587$⪘⫢$2363$)⪛(⨞⊢$4733$))∼(((+⊝⨔$8317$)⊉≛↸$3041$⋓$2971$)⪄(⋗⩬⋾(⨈⫕$6351$)))","expression":"((⊺⇮3603⫥∨⫟⊺⇮1910)⋝⋈⪟(⊺⇮1077/⊺⇮2394)-(⊺⇮4587⪘⫢⊺⇮2363)⪛(⨞⊢⊺⇮4733))∼(((+⊝⨔⊺⇮8317)⊉≛↸⊺⇮3041⋓⊺⇮2971)⪄(⋗⩬⋾(⨈⫕⊺⇮6351)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":722,"operation_count":14,"complexity_ratio":51.57142857142857,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3603,"base":10},"right_expr":{"type":"numeric_atoms","value":1910,"base":10}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1077,"base":10},"right_expr":{"type":"numeric_atoms","value":2394,"base":10}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4587,"base":10},"right_expr":{"type":"numeric_atoms","value":2363,"base":10}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":4733,"base":10}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":8317,"base":10}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3041,"base":10},"right_expr":{"type":"numeric_atoms","value":2971,"base":10}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":6351,"base":10}}}}},"used_operators":["DyGG3AbaNP","rysDP5nf3Z","2DDjHMKMc0","KYD54nUTWz","XhwjNDsVaA","uFcxV4UQCh","oacrs7FA3X","xUOZtlo3hN","SUmda5xLS4","DZ8iAZOCBD","DhbWaqg5eL","T2fj7uvVaJ","DpFCA1CohY","megm06wKyl"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3603","layer":4},{"info":"number node, value=1910","layer":4},{"info":"compute binary expreesion, left_input=3603, right_input=1910, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1077","layer":4},{"info":"number node, value=2394","layer":4},{"info":"compute binary expreesion, left_input=1077, right_input=2394, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=4587","layer":4},{"info":"number node, value=2363","layer":4},{"info":"compute binary expreesion, left_input=4587, right_input=2363, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=9050","layer":3},{"info":"number node, value=4733","layer":4},{"info":"compute unary expreesion, input=4733, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-4907","layer":3},{"info":"compute binary expreesion, left_input=9050, right_input=-4907, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-764","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-764, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=8317","layer":4},{"info":"compute unary expreesion, input=8317, 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=3041","layer":4},{"info":"number node, value=2971","layer":4},{"info":"compute binary expreesion, left_input=3041, right_input=2971, op_id = T2fj7uvVaJ binary_op_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=1522, right_input=0, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3044","layer":2},{"info":"number node, value=6351","layer":4},{"info":"compute unary expreesion, input=6351, 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 = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=63","layer":2},{"info":"compute binary expreesion, left_input=3044, right_input=63, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-446853","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-446853, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮3603⫥∨⫟⊺⇮1910)⋝⋈⪟(⊺⇮1077/⊺⇮2394)-(⊺⇮4587⪘⫢⊺⇮2363)⪛(⨞⊢⊺⇮4733))∼(((+⊝⨔⊺⇮8317)⊉≛↸⊺⇮3041⋓⊺⇮2971)⪄(⋗⩬⋾(⨈⫕⊺⇮6351)))=NaN","reverse_text":"NaN=((⊺⇮3603⫥∨⫟⊺⇮1910)⋝⋈⪟(⊺⇮1077/⊺⇮2394)-(⊺⇮4587⪘⫢⊺⇮2363)⪛(⨞⊢⊺⇮4733))∼(((+⊝⨔⊺⇮8317)⊉≛↸⊺⇮3041⋓⊺⇮2971)⪄(⋗⩬⋾(⨈⫕⊺⇮6351)))","cot":[{"info":"⊺⇮3603⫥∨⫟⊺⇮1910=NaN","layer":3},{"info":"⊺⇮1077/⊺⇮2394=⊺⇮0","layer":3},{"info":"NaN⋝⋈⪟⊺⇮0=NaN","layer":2},{"info":"⊺⇮4587⪘⫢⊺⇮2363=⊺⇮9050","layer":3},{"info":"⨞⊢⊺⇮4733=⊺⇮-4907","layer":3},{"info":"⊺⇮9050⪛⊺⇮-4907=⊺⇮-764","layer":2},{"info":"NaN-⊺⇮-764=NaN","layer":1},{"info":"+⊝⨔⊺⇮8317=⊺⇮1522","layer":3},{"info":"⊺⇮3041⋓⊺⇮2971=⊺⇮0","layer":3},{"info":"⊺⇮1522⊉≛↸⊺⇮0=⊺⇮3044","layer":2},{"info":"⨈⫕⊺⇮6351=⊺⇮-21","layer":3},{"info":"⋗⩬⋾⊺⇮-21=⊺⇮63","layer":2},{"info":"⊺⇮3044⪄⊺⇮63=⊺⇮-446853","layer":1},{"info":"NaN∼⊺⇮-446853=NaN","layer":0}]}
{"id":711,"expression_no_base_symbol":"(($1481$≹⇙⪍$2242$*$1584$⪢$4515$)⨐⩸⫘($2658$↙$6969$⪨≂$1137$∑⇟⊟$1215$))⪛(($1001$≋⫹)+$5020$⨰$7307$)≹⇙⪍((⊄⩳↩$1578$)⋓(⊥$3548$))","expression":"((⊺⇮1481≹⇙⪍⊺⇮2242*⊺⇮1584⪢⊺⇮4515)⨐⩸⫘(⊺⇮2658↙⊺⇮6969⪨≂⊺⇮1137∑⇟⊟⊺⇮1215))⪛((⊺⇮1001≋⫹)+⊺⇮5020⨰⊺⇮7307)≹⇙⪍((⊄⩳↩⊺⇮1578)⋓(⊥⊺⇮3548))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":11528,"operation_count":15,"complexity_ratio":768.5333333333333,"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":1481,"base":10},"right_expr":{"type":"numeric_atoms","value":2242,"base":10}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1584,"base":10},"right_expr":{"type":"numeric_atoms","value":4515,"base":10}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2658,"base":10},"right_expr":{"type":"numeric_atoms","value":6969,"base":10}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1137,"base":10},"right_expr":{"type":"numeric_atoms","value":1215,"base":10}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1001,"base":10}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":5020,"base":10},"right_expr":{"type":"numeric_atoms","value":7307,"base":10}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1578,"base":10}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":3548,"base":10}}}}},"used_operators":["uFcxV4UQCh","fu6greOZ01","9HNa5Wba9A","AHs5Up7iyr","dWAJyo7jo9","sdazOOVcIp","yyfyN0ffXY","U7g4x0WXJJ","W4YGzv6Whe","N41Kp7NANJ","eewbuw0ToL","T2fj7uvVaJ","8w2t5hMYqp","Q3PJZHRvZv"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","3ViojmjbAp","W4YGzv6Whe","dWAJyo7jo9","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1481","layer":4},{"info":"number node, value=2242","layer":4},{"info":"compute binary expreesion, left_input=1481, right_input=2242, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=1584","layer":4},{"info":"number node, value=4515","layer":4},{"info":"compute binary expreesion, left_input=1584, right_input=4515, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=2658","layer":4},{"info":"number node, value=6969","layer":4},{"info":"compute binary expreesion, left_input=2658, right_input=6969, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-20907","layer":3},{"info":"number node, value=1137","layer":4},{"info":"number node, value=1215","layer":4},{"info":"compute binary expreesion, left_input=1137, right_input=1215, 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=-20907, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=1001","layer":4},{"info":"compute unary expreesion, input=1001, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2002","layer":3},{"info":"number node, value=5020","layer":4},{"info":"number node, value=7307","layer":4},{"info":"compute binary expreesion, left_input=5020, right_input=7307, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2277","layer":3},{"info":"compute binary expreesion, left_input=-2002, right_input=-2277, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-4279","layer":2},{"info":"number node, value=1578","layer":4},{"info":"compute unary expreesion, input=1578, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-4734","layer":3},{"info":"number node, value=3548","layer":4},{"info":"compute unary expreesion, input=3548, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4734, 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=-4279, 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 = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1481≹⇙⪍⊺⇮2242*⊺⇮1584⪢⊺⇮4515)⨐⩸⫘(⊺⇮2658↙⊺⇮6969⪨≂⊺⇮1137∑⇟⊟⊺⇮1215))⪛((⊺⇮1001≋⫹)+⊺⇮5020⨰⊺⇮7307)≹⇙⪍((⊄⩳↩⊺⇮1578)⋓(⊥⊺⇮3548))=NaN","reverse_text":"NaN=((⊺⇮1481≹⇙⪍⊺⇮2242*⊺⇮1584⪢⊺⇮4515)⨐⩸⫘(⊺⇮2658↙⊺⇮6969⪨≂⊺⇮1137∑⇟⊟⊺⇮1215))⪛((⊺⇮1001≋⫹)+⊺⇮5020⨰⊺⇮7307)≹⇙⪍((⊄⩳↩⊺⇮1578)⋓(⊥⊺⇮3548))","cot":[{"info":"⊺⇮1481≹⇙⪍⊺⇮2242=NaN","layer":3},{"info":"⊺⇮1584⪢⊺⇮4515=NaN","layer":3},{"info":"NaN*NaN=NaN","layer":2},{"info":"⊺⇮2658↙⊺⇮6969=⊺⇮-20907","layer":3},{"info":"⊺⇮1137∑⇟⊟⊺⇮1215=NaN","layer":3},{"info":"⊺⇮-20907⪨≂NaN=NaN","layer":2},{"info":"NaN⨐⩸⫘NaN=NaN","layer":1},{"info":"⊺⇮1001≋⫹=⊺⇮-2002","layer":3},{"info":"⊺⇮5020⨰⊺⇮7307=⊺⇮-2277","layer":3},{"info":"⊺⇮-2002+⊺⇮-2277=⊺⇮-4279","layer":2},{"info":"⊄⩳↩⊺⇮1578=⊺⇮-4734","layer":3},{"info":"⊥⊺⇮3548=NaN","layer":3},{"info":"⊺⇮-4734⋓NaN=NaN","layer":2},{"info":"⊺⇮-4279≹⇙⪍NaN=NaN","layer":1},{"info":"NaN⪛NaN=NaN","layer":0}]}
{"id":712,"expression_no_base_symbol":"(≤/((⨞⊢$1899$)⪠⩆⊳))/((⨞⊢$2782$)⨵⪆$5395$⨰$3472$)≭($3756$⨸⪁$3065$)⪮%⊝($2764$⨪↰⇹$1707$)","expression":"(≤/((⨞⊢⊺⇮1899)⪠⩆⊳))/((⨞⊢⊺⇮2782)⨵⪆⊺⇮5395⨰⊺⇮3472)≭(⊺⇮3756⨸⪁⊺⇮3065)⪮%⊝(⊺⇮2764⨪↰⇹⊺⇮1707)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2796,"operation_count":11,"complexity_ratio":254.1818181818182,"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":1899,"base":10}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2782,"base":10}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":5395,"base":10},"right_expr":{"type":"numeric_atoms","value":3472,"base":10}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3756,"base":10},"right_expr":{"type":"numeric_atoms","value":3065,"base":10}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2764,"base":10},"right_expr":{"type":"numeric_atoms","value":1707,"base":10}}}}},"used_operators":["XhwjNDsVaA","eLAdDNolq6","JLbD19bQDL","xUOZtlo3hN","rxpJgHHUmx","2DQ55sFlQl","eewbuw0ToL","IWmyXbctLI","g55IO6H4Gj","tmPS8pqC7x"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1899","layer":4},{"info":"compute unary expreesion, input=1899, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2073","layer":3},{"info":"compute unary expreesion, input=-2073, 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 = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=484","layer":1},{"info":"number node, value=2782","layer":4},{"info":"compute unary expreesion, input=2782, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2956","layer":3},{"info":"number node, value=5395","layer":4},{"info":"number node, value=3472","layer":4},{"info":"compute binary expreesion, left_input=5395, right_input=3472, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1933","layer":3},{"info":"compute binary expreesion, left_input=-2956, right_input=1933, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=3756","layer":4},{"info":"number node, value=3065","layer":4},{"info":"compute binary expreesion, left_input=3756, right_input=3065, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=13642","layer":3},{"info":"number node, value=2764","layer":4},{"info":"number node, value=1707","layer":4},{"info":"compute binary expreesion, left_input=2764, right_input=1707, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2764","layer":3},{"info":"compute binary expreesion, left_input=13642, right_input=2764, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=27600","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=27600, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=484, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":10,"result_base":10,"text":"(≤/((⨞⊢⊺⇮1899)⪠⩆⊳))/((⨞⊢⊺⇮2782)⨵⪆⊺⇮5395⨰⊺⇮3472)≭(⊺⇮3756⨸⪁⊺⇮3065)⪮%⊝(⊺⇮2764⨪↰⇹⊺⇮1707)=NaN","reverse_text":"NaN=(≤/((⨞⊢⊺⇮1899)⪠⩆⊳))/((⨞⊢⊺⇮2782)⨵⪆⊺⇮5395⨰⊺⇮3472)≭(⊺⇮3756⨸⪁⊺⇮3065)⪮%⊝(⊺⇮2764⨪↰⇹⊺⇮1707)","cot":[{"info":"⨞⊢⊺⇮1899=⊺⇮-2073","layer":3},{"info":"⊺⇮-2073⪠⩆⊳=⊺⇮0","layer":2},{"info":"≤/⊺⇮0=⊺⇮484","layer":1},{"info":"⨞⊢⊺⇮2782=⊺⇮-2956","layer":3},{"info":"⊺⇮5395⨰⊺⇮3472=⊺⇮1933","layer":3},{"info":"⊺⇮-2956⨵⪆⊺⇮1933=⊺⇮160","layer":2},{"info":"⊺⇮3756⨸⪁⊺⇮3065=⊺⇮13642","layer":3},{"info":"⊺⇮2764⨪↰⇹⊺⇮1707=⊺⇮2764","layer":3},{"info":"⊺⇮13642⪮%⊝⊺⇮2764=⊺⇮27600","layer":2},{"info":"⊺⇮160≭⊺⇮27600=NaN","layer":1},{"info":"⊺⇮484/NaN=NaN","layer":0}]}
{"id":713,"expression_no_base_symbol":"(↥(⊙↵-($1258$%$1328$)))⇷(⨈⫕(≉$2358$)↙(⪲⇎$2758$))","expression":"(↥(⊙↵-(⊺⇮1258%⊺⇮1328)))⇷(⨈⫕(≉⊺⇮2358)↙(⪲⇎⊺⇮2758))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":7921,"operation_count":8,"complexity_ratio":990.125,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1258,"base":10},"right_expr":{"type":"numeric_atoms","value":1328,"base":10}}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2358,"base":10}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":2758,"base":10}}}}},"used_operators":["mp7IySMOzn","A8NUZmVepG","oWn0xqSxBt","k8jYdgA6NY","megm06wKyl","yyfyN0ffXY","e1ybzncUwg","XPYlsWDdGa"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","k8jYdgA6NY","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮-42","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1258","layer":4},{"info":"number node, value=1328","layer":4},{"info":"compute binary expreesion, left_input=1258, right_input=1328, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1258","layer":3},{"info":"compute unary expreesion, input=1258, 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 = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=50","layer":1},{"info":"number node, value=2358","layer":4},{"info":"compute unary expreesion, input=2358, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2889","layer":3},{"info":"number node, value=2758","layer":4},{"info":"compute unary expreesion, input=2758, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=5516","layer":3},{"info":"compute binary expreesion, left_input=2889, right_input=5516, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-16548","layer":2},{"info":"compute unary expreesion, input=-16548, 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=50, right_input=-21, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=-42","layer":0}],"base":10,"result_base":10,"text":"(↥(⊙↵-(⊺⇮1258%⊺⇮1328)))⇷(⨈⫕(≉⊺⇮2358)↙(⪲⇎⊺⇮2758))=⊺⇮-42","reverse_text":"⊺⇮-42=(↥(⊙↵-(⊺⇮1258%⊺⇮1328)))⇷(⨈⫕(≉⊺⇮2358)↙(⪲⇎⊺⇮2758))","cot":[{"info":"⊺⇮1258%⊺⇮1328=⊺⇮1258","layer":3},{"info":"⊙↵-⊺⇮1258=⊺⇮-1","layer":2},{"info":"↥⊺⇮-1=⊺⇮50","layer":1},{"info":"≉⊺⇮2358=⊺⇮2889","layer":3},{"info":"⪲⇎⊺⇮2758=⊺⇮5516","layer":3},{"info":"⊺⇮2889↙⊺⇮5516=⊺⇮-16548","layer":2},{"info":"⨈⫕⊺⇮-16548=⊺⇮-21","layer":1},{"info":"⊺⇮50⇷⊺⇮-21=⊺⇮-42","layer":0}]}
{"id":714,"expression_no_base_symbol":"(($1089$⪨≂$8226$)↬($6263$⇼⇔∾$1386$)⋳⪒(($8874$⨐⩸⫘$2308$)⨎$1531$⋝⋈⪟$2458$))⪢(($1160$⨐⩸⫘$1415$%$1312$⨪↰⇹$1293$)⨎$1546$⨟⋌⩍$2680$⨪↰⇹($3234$↙$2358$))","expression":"((⊺⇮1089⪨≂⊺⇮8226)↬(⊺⇮6263⇼⇔∾⊺⇮1386)⋳⪒((⊺⇮8874⨐⩸⫘⊺⇮2308)⨎⊺⇮1531⋝⋈⪟⊺⇮2458))⪢((⊺⇮1160⨐⩸⫘⊺⇮1415%⊺⇮1312⨪↰⇹⊺⇮1293)⨎⊺⇮1546⨟⋌⩍⊺⇮2680⨪↰⇹(⊺⇮3234↙⊺⇮2358))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3699,"operation_count":15,"complexity_ratio":246.6,"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":1089,"base":10},"right_expr":{"type":"numeric_atoms","value":8226,"base":10}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":6263,"base":10},"right_expr":{"type":"numeric_atoms","value":1386,"base":10}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":8874,"base":10},"right_expr":{"type":"numeric_atoms","value":2308,"base":10}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1531,"base":10},"right_expr":{"type":"numeric_atoms","value":2458,"base":10}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1160,"base":10},"right_expr":{"type":"numeric_atoms","value":1415,"base":10}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1312,"base":10},"right_expr":{"type":"numeric_atoms","value":1293,"base":10}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1546,"base":10},"right_expr":{"type":"numeric_atoms","value":2680,"base":10}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3234,"base":10},"right_expr":{"type":"numeric_atoms","value":2358,"base":10}}}}},"used_operators":["dWAJyo7jo9","12rbrZMWeM","B5M0gjZbta","sdazOOVcIp","tifHPKVTfV","rJVOvQCfKK","fu6greOZ01","2DDjHMKMc0","k8jYdgA6NY","tmPS8pqC7x","rGHVDoGpnC","yyfyN0ffXY"],"dependent_operators":["k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rJVOvQCfKK","Tcnh7f0tEr","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1089","layer":4},{"info":"number node, value=8226","layer":4},{"info":"compute binary expreesion, left_input=1089, right_input=8226, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-14172","layer":3},{"info":"number node, value=6263","layer":4},{"info":"number node, value=1386","layer":4},{"info":"compute binary expreesion, left_input=6263, right_input=1386, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-4877","layer":3},{"info":"compute binary expreesion, left_input=-14172, right_input=-4877, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=8874","layer":4},{"info":"number node, value=2308","layer":4},{"info":"compute binary expreesion, left_input=8874, right_input=2308, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=1531","layer":4},{"info":"number node, value=2458","layer":4},{"info":"compute binary expreesion, left_input=1531, right_input=2458, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1531","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1531, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1531","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1531, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"number node, value=1160","layer":4},{"info":"number node, value=1415","layer":4},{"info":"compute binary expreesion, left_input=1160, right_input=1415, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=1312","layer":4},{"info":"number node, value=1293","layer":4},{"info":"compute binary expreesion, left_input=1312, right_input=1293, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1312","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1312, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1546","layer":4},{"info":"number node, value=2680","layer":4},{"info":"compute binary expreesion, left_input=1546, right_input=2680, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=3234","layer":4},{"info":"number node, value=2358","layer":4},{"info":"compute binary expreesion, left_input=3234, right_input=2358, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-7074","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-7074, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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 = 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 = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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":10,"result_base":10,"text":"((⊺⇮1089⪨≂⊺⇮8226)↬(⊺⇮6263⇼⇔∾⊺⇮1386)⋳⪒((⊺⇮8874⨐⩸⫘⊺⇮2308)⨎⊺⇮1531⋝⋈⪟⊺⇮2458))⪢((⊺⇮1160⨐⩸⫘⊺⇮1415%⊺⇮1312⨪↰⇹⊺⇮1293)⨎⊺⇮1546⨟⋌⩍⊺⇮2680⨪↰⇹(⊺⇮3234↙⊺⇮2358))=NaN","reverse_text":"NaN=((⊺⇮1089⪨≂⊺⇮8226)↬(⊺⇮6263⇼⇔∾⊺⇮1386)⋳⪒((⊺⇮8874⨐⩸⫘⊺⇮2308)⨎⊺⇮1531⋝⋈⪟⊺⇮2458))⪢((⊺⇮1160⨐⩸⫘⊺⇮1415%⊺⇮1312⨪↰⇹⊺⇮1293)⨎⊺⇮1546⨟⋌⩍⊺⇮2680⨪↰⇹(⊺⇮3234↙⊺⇮2358))","cot":[{"info":"⊺⇮1089⪨≂⊺⇮8226=⊺⇮-14172","layer":3},{"info":"⊺⇮6263⇼⇔∾⊺⇮1386=⊺⇮-4877","layer":3},{"info":"⊺⇮-14172↬⊺⇮-4877=NaN","layer":2},{"info":"⊺⇮8874⨐⩸⫘⊺⇮2308=NaN","layer":3},{"info":"⊺⇮1531⋝⋈⪟⊺⇮2458=⊺⇮1531","layer":3},{"info":"NaN⨎⊺⇮1531=⊺⇮1531","layer":2},{"info":"NaN⋳⪒⊺⇮1531=NaN","layer":1},{"info":"⊺⇮1160⨐⩸⫘⊺⇮1415=NaN","layer":3},{"info":"⊺⇮1312⨪↰⇹⊺⇮1293=⊺⇮1312","layer":3},{"info":"NaN%⊺⇮1312=NaN","layer":2},{"info":"⊺⇮1546⨟⋌⩍⊺⇮2680=NaN","layer":3},{"info":"⊺⇮3234↙⊺⇮2358=⊺⇮-7074","layer":3},{"info":"NaN⨪↰⇹⊺⇮-7074=NaN","layer":2},{"info":"NaN⨎NaN=NaN","layer":1},{"info":"NaN⪢NaN=NaN","layer":0}]}
{"id":715,"expression_no_base_symbol":"((↽≂($1650$⋷$1613$))-$1017$⪛$4299$⋳⪒(≦∁$1045$))-(⋗⩬⋾($5465$+$2816$⫡⨏$1337$⋓$4251$))","expression":"((↽≂(⊺⇮1650⋷⊺⇮1613))-⊺⇮1017⪛⊺⇮4299⋳⪒(≦∁⊺⇮1045))-(⋗⩬⋾(⊺⇮5465+⊺⇮2816⫡⨏⊺⇮1337⋓⊺⇮4251))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":44,"operation_count":11,"complexity_ratio":4.0,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1650,"base":10},"right_expr":{"type":"numeric_atoms","value":1613,"base":10}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1017,"base":10},"right_expr":{"type":"numeric_atoms","value":4299,"base":10}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1045,"base":10}}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":5465,"base":10},"right_expr":{"type":"numeric_atoms","value":2816,"base":10}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1337,"base":10},"right_expr":{"type":"numeric_atoms","value":4251,"base":10}}}}},"used_operators":["rysDP5nf3Z","u6S6b8DprG","23Mk6UjR3U","12rbrZMWeM","uFcxV4UQCh","9ICcGScMcE","DpFCA1CohY","QMFrweE19q","W4YGzv6Whe","T2fj7uvVaJ"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⊺⇮122710","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1650","layer":4},{"info":"number node, value=1613","layer":4},{"info":"compute binary expreesion, left_input=1650, right_input=1613, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1576","layer":3},{"info":"compute unary expreesion, input=1576, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-3152","layer":2},{"info":"number node, value=1017","layer":4},{"info":"number node, value=4299","layer":4},{"info":"compute binary expreesion, left_input=1017, right_input=4299, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1017","layer":3},{"info":"number node, value=1045","layer":4},{"info":"compute unary expreesion, input=1045, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1045","layer":3},{"info":"compute binary expreesion, left_input=1017, right_input=1045, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=702","layer":2},{"info":"compute binary expreesion, left_input=-3152, right_input=702, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3854","layer":1},{"info":"number node, value=5465","layer":4},{"info":"number node, value=2816","layer":4},{"info":"compute binary expreesion, left_input=5465, right_input=2816, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8281","layer":3},{"info":"number node, value=1337","layer":4},{"info":"number node, value=4251","layer":4},{"info":"compute binary expreesion, left_input=1337, right_input=4251, op_id = T2fj7uvVaJ binary_op_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=8281, 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=42188","layer":2},{"info":"compute unary expreesion, input=42188, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-126564","layer":1},{"info":"compute binary expreesion, left_input=-3854, right_input=-126564, op_id = rysDP5nf3Z binary_op_definition= 'None', output=122710","layer":0}],"base":10,"result_base":10,"text":"((↽≂(⊺⇮1650⋷⊺⇮1613))-⊺⇮1017⪛⊺⇮4299⋳⪒(≦∁⊺⇮1045))-(⋗⩬⋾(⊺⇮5465+⊺⇮2816⫡⨏⊺⇮1337⋓⊺⇮4251))=⊺⇮122710","reverse_text":"⊺⇮122710=((↽≂(⊺⇮1650⋷⊺⇮1613))-⊺⇮1017⪛⊺⇮4299⋳⪒(≦∁⊺⇮1045))-(⋗⩬⋾(⊺⇮5465+⊺⇮2816⫡⨏⊺⇮1337⋓⊺⇮4251))","cot":[{"info":"⊺⇮1650⋷⊺⇮1613=⊺⇮1576","layer":3},{"info":"↽≂⊺⇮1576=⊺⇮-3152","layer":2},{"info":"⊺⇮1017⪛⊺⇮4299=⊺⇮1017","layer":3},{"info":"≦∁⊺⇮1045=⊺⇮1045","layer":3},{"info":"⊺⇮1017⋳⪒⊺⇮1045=⊺⇮702","layer":2},{"info":"⊺⇮-3152-⊺⇮702=⊺⇮-3854","layer":1},{"info":"⊺⇮5465+⊺⇮2816=⊺⇮8281","layer":3},{"info":"⊺⇮1337⋓⊺⇮4251=⊺⇮0","layer":3},{"info":"⊺⇮8281⫡⨏⊺⇮0=⊺⇮42188","layer":2},{"info":"⋗⩬⋾⊺⇮42188=⊺⇮-126564","layer":1},{"info":"⊺⇮-3854-⊺⇮-126564=⊺⇮122710","layer":0}]}
{"id":716,"expression_no_base_symbol":"(⪲⇎(⪝⪂⫅(⊥$3173$)))⫡⨏(+⊝⨔($2107$⫸⊐$1571$⨸⪁$4158$↺$3052$))","expression":"(⪲⇎(⪝⪂⫅(⊥⊺⇮3173)))⫡⨏(+⊝⨔(⊺⇮2107⫸⊐⊺⇮1571⨸⪁⊺⇮4158↺⊺⇮3052))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":83,"operation_count":8,"complexity_ratio":10.375,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":3173,"base":10}}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2107,"base":10},"right_expr":{"type":"numeric_atoms","value":1571,"base":10}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":4158,"base":10},"right_expr":{"type":"numeric_atoms","value":3052,"base":10}}}}},"used_operators":["QMFrweE19q","XPYlsWDdGa","XTarYq4gQB","Q3PJZHRvZv","DhbWaqg5eL","g55IO6H4Gj","mqXw5SEYmG","7j4O788W3g"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","fu6greOZ01","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3173","layer":4},{"info":"compute unary expreesion, input=3173, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":1},{"info":"number node, value=2107","layer":4},{"info":"number node, value=1571","layer":4},{"info":"compute binary expreesion, left_input=2107, right_input=1571, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6159","layer":3},{"info":"number node, value=4158","layer":4},{"info":"number node, value=3052","layer":4},{"info":"compute binary expreesion, left_input=4158, right_input=3052, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3052","layer":3},{"info":"compute binary expreesion, left_input=6159, right_input=3052, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=18422","layer":2},{"info":"compute unary expreesion, input=18422, 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 = 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":10,"result_base":10,"text":"(⪲⇎(⪝⪂⫅(⊥⊺⇮3173)))⫡⨏(+⊝⨔(⊺⇮2107⫸⊐⊺⇮1571⨸⪁⊺⇮4158↺⊺⇮3052))=NaN","reverse_text":"NaN=(⪲⇎(⪝⪂⫅(⊥⊺⇮3173)))⫡⨏(+⊝⨔(⊺⇮2107⫸⊐⊺⇮1571⨸⪁⊺⇮4158↺⊺⇮3052))","cot":[{"info":"⊥⊺⇮3173=NaN","layer":3},{"info":"⪝⪂⫅NaN=NaN","layer":2},{"info":"⪲⇎NaN=NaN","layer":1},{"info":"⊺⇮2107⫸⊐⊺⇮1571=⊺⇮6159","layer":3},{"info":"⊺⇮4158↺⊺⇮3052=⊺⇮3052","layer":3},{"info":"⊺⇮6159⨸⪁⊺⇮3052=⊺⇮18422","layer":2},{"info":"+⊝⨔⊺⇮18422=⊺⇮1522","layer":1},{"info":"NaN⫡⨏⊺⇮1522=NaN","layer":0}]}
{"id":717,"expression_no_base_symbol":"↯⪼((⨰⫟⨤(≦∁$1453$))⨰($2340$⨰$6778$⋓($3430$⨵⪆$8271$)))","expression":"↯⪼((⨰⫟⨤(≦∁⊺⇮1453))⨰(⊺⇮2340⨰⊺⇮6778⋓(⊺⇮3430⨵⪆⊺⇮8271)))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":5030,"operation_count":7,"complexity_ratio":718.5714285714286,"tree":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1453,"base":10}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2340,"base":10},"right_expr":{"type":"numeric_atoms","value":6778,"base":10}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3430,"base":10},"right_expr":{"type":"numeric_atoms","value":8271,"base":10}}}}},"used_operators":["8jW3W4yZS5","eewbuw0ToL","Tw270M8GLb","9ICcGScMcE","T2fj7uvVaJ","2DQ55sFlQl"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd"],"result":"⊺⇮-21","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1453","layer":4},{"info":"compute unary expreesion, input=1453, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1453","layer":3},{"info":"compute unary expreesion, input=1453, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=2340","layer":4},{"info":"number node, value=6778","layer":4},{"info":"compute binary expreesion, left_input=2340, right_input=6778, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-4428","layer":3},{"info":"number node, value=3430","layer":4},{"info":"number node, value=8271","layer":4},{"info":"compute binary expreesion, left_input=3430, right_input=8271, 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=-4428, right_input=160, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":0}],"base":10,"result_base":10,"text":"↯⪼((⨰⫟⨤(≦∁⊺⇮1453))⨰(⊺⇮2340⨰⊺⇮6778⋓(⊺⇮3430⨵⪆⊺⇮8271)))=⊺⇮-21","reverse_text":"⊺⇮-21=↯⪼((⨰⫟⨤(≦∁⊺⇮1453))⨰(⊺⇮2340⨰⊺⇮6778⋓(⊺⇮3430⨵⪆⊺⇮8271)))","cot":[{"info":"≦∁⊺⇮1453=⊺⇮1453","layer":3},{"info":"⨰⫟⨤⊺⇮1453=NaN","layer":2},{"info":"⊺⇮2340⨰⊺⇮6778=⊺⇮-4428","layer":3},{"info":"⊺⇮3430⨵⪆⊺⇮8271=⊺⇮160","layer":3},{"info":"⊺⇮-4428⋓⊺⇮160=⊺⇮0","layer":2},{"info":"NaN⨰⊺⇮0=NaN","layer":1},{"info":"↯⪼NaN=⊺⇮-21","layer":0}]}
{"id":718,"expression_no_base_symbol":"(($3816$⩨$1854$)⨪↰⇹(⨈⫕$3569$)⨸⪁((+⊝⨔$2351$)⊉≛↸(⨑⩽⪐$2264$)))⨽(⫛⫱⨽($1875$⫡⨏$3723$))↬(↔($1405$⨓$1136$))","expression":"((⊺⇮3816⩨⊺⇮1854)⨪↰⇹(⨈⫕⊺⇮3569)⨸⪁((+⊝⨔⊺⇮2351)⊉≛↸(⨑⩽⪐⊺⇮2264)))⨽(⫛⫱⨽(⊺⇮1875⫡⨏⊺⇮3723))↬(↔(⊺⇮1405⨓⊺⇮1136))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":9131,"operation_count":13,"complexity_ratio":702.3846153846154,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3816,"base":10},"right_expr":{"type":"numeric_atoms","value":1854,"base":10}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":3569,"base":10}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2351,"base":10}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2264,"base":10}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1875,"base":10},"right_expr":{"type":"numeric_atoms","value":3723,"base":10}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1405,"base":10},"right_expr":{"type":"numeric_atoms","value":1136,"base":10}}}}},"used_operators":["8HhzD0ZcuI","g55IO6H4Gj","tmPS8pqC7x","2DlMacCsIx","megm06wKyl","DZ8iAZOCBD","DhbWaqg5eL","AF7qkfDlqP","B5M0gjZbta","DlLNRPXxWL","QMFrweE19q","ruOEQAzv1W","3ViojmjbAp"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rJVOvQCfKK","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rGHVDoGpnC","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"⊺⇮-111189516","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3816","layer":4},{"info":"number node, value=1854","layer":4},{"info":"compute binary expreesion, left_input=3816, right_input=1854, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=3569","layer":4},{"info":"compute unary expreesion, input=3569, 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 = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=0","layer":2},{"info":"number node, value=2351","layer":4},{"info":"compute unary expreesion, input=2351, 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=2264","layer":4},{"info":"compute unary expreesion, input=2264, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1991","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=-1991, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3044","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=3044, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=6088","layer":1},{"info":"number node, value=1875","layer":4},{"info":"number node, value=3723","layer":4},{"info":"compute binary expreesion, left_input=1875, right_input=3723, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=17604","layer":3},{"info":"compute unary expreesion, input=17604, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"number node, value=1405","layer":4},{"info":"number node, value=1136","layer":4},{"info":"compute binary expreesion, left_input=1405, right_input=1136, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1139","layer":3},{"info":"compute unary expreesion, input=-1139, 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=0, right_input=-134, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=-134","layer":1},{"info":"compute binary expreesion, left_input=6088, right_input=-134, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-111189516","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮3816⩨⊺⇮1854)⨪↰⇹(⨈⫕⊺⇮3569)⨸⪁((+⊝⨔⊺⇮2351)⊉≛↸(⨑⩽⪐⊺⇮2264)))⨽(⫛⫱⨽(⊺⇮1875⫡⨏⊺⇮3723))↬(↔(⊺⇮1405⨓⊺⇮1136))=⊺⇮-111189516","reverse_text":"⊺⇮-111189516=((⊺⇮3816⩨⊺⇮1854)⨪↰⇹(⨈⫕⊺⇮3569)⨸⪁((+⊝⨔⊺⇮2351)⊉≛↸(⨑⩽⪐⊺⇮2264)))⨽(⫛⫱⨽(⊺⇮1875⫡⨏⊺⇮3723))↬(↔(⊺⇮1405⨓⊺⇮1136))","cot":[{"info":"⊺⇮3816⩨⊺⇮1854=⊺⇮0","layer":3},{"info":"⨈⫕⊺⇮3569=⊺⇮-21","layer":3},{"info":"⊺⇮0⨪↰⇹⊺⇮-21=⊺⇮0","layer":2},{"info":"+⊝⨔⊺⇮2351=⊺⇮1522","layer":3},{"info":"⨑⩽⪐⊺⇮2264=⊺⇮-1991","layer":3},{"info":"⊺⇮1522⊉≛↸⊺⇮-1991=⊺⇮3044","layer":2},{"info":"⊺⇮0⨸⪁⊺⇮3044=⊺⇮6088","layer":1},{"info":"⊺⇮1875⫡⨏⊺⇮3723=⊺⇮17604","layer":3},{"info":"⫛⫱⨽⊺⇮17604=⊺⇮0","layer":2},{"info":"⊺⇮1405⨓⊺⇮1136=⊺⇮-1139","layer":3},{"info":"↔⊺⇮-1139=⊺⇮-134","layer":2},{"info":"⊺⇮0↬⊺⇮-134=⊺⇮-134","layer":1},{"info":"⊺⇮6088⨽⊺⇮-134=⊺⇮-111189516","layer":0}]}
{"id":719,"expression_no_base_symbol":"((⊄⩳↩$7640$)⨽$7354$+⇶⊼$6165$⨸⪁(⨞⊢$2957$)⨓($1660$⨎$5036$))⊘","expression":"((⊄⩳↩⊺⇮7640)⨽⊺⇮7354+⇶⊼⊺⇮6165⨸⪁(⨞⊢⊺⇮2957)⨓(⊺⇮1660⨎⊺⇮5036))⊘","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":28002,"operation_count":8,"complexity_ratio":3500.25,"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":7640,"base":10}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":7354,"base":10},"right_expr":{"type":"numeric_atoms","value":6165,"base":10}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2957,"base":10}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1660,"base":10},"right_expr":{"type":"numeric_atoms","value":5036,"base":10}}}}},"used_operators":["gu96TGCTMs","g55IO6H4Gj","8HhzD0ZcuI","8w2t5hMYqp","TpPTUOHfaN","3ViojmjbAp","xUOZtlo3hN","rJVOvQCfKK"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7640","layer":4},{"info":"compute unary expreesion, input=7640, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-22920","layer":3},{"info":"number node, value=7354","layer":4},{"info":"number node, value=6165","layer":4},{"info":"compute binary expreesion, left_input=7354, right_input=6165, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=-22920, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"number node, value=2957","layer":4},{"info":"compute unary expreesion, input=2957, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-3131","layer":3},{"info":"number node, value=1660","layer":4},{"info":"number node, value=5036","layer":4},{"info":"compute binary expreesion, left_input=1660, right_input=5036, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5036","layer":3},{"info":"compute binary expreesion, left_input=-3131, right_input=5036, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5039","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-5039, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊄⩳↩⊺⇮7640)⨽⊺⇮7354+⇶⊼⊺⇮6165⨸⪁(⨞⊢⊺⇮2957)⨓(⊺⇮1660⨎⊺⇮5036))⊘=NaN","reverse_text":"NaN=((⊄⩳↩⊺⇮7640)⨽⊺⇮7354+⇶⊼⊺⇮6165⨸⪁(⨞⊢⊺⇮2957)⨓(⊺⇮1660⨎⊺⇮5036))⊘","cot":[{"info":"⊄⩳↩⊺⇮7640=⊺⇮-22920","layer":3},{"info":"⊺⇮7354+⇶⊼⊺⇮6165=NaN","layer":3},{"info":"⊺⇮-22920⨽NaN=NaN","layer":2},{"info":"⨞⊢⊺⇮2957=⊺⇮-3131","layer":3},{"info":"⊺⇮1660⨎⊺⇮5036=⊺⇮5036","layer":3},{"info":"⊺⇮-3131⨓⊺⇮5036=⊺⇮-5039","layer":2},{"info":"NaN⨸⪁⊺⇮-5039=NaN","layer":1},{"info":"NaN⊘=NaN","layer":0}]}
{"id":720,"expression_no_base_symbol":"(↽≂(⊙↵-($5903$⇼⇔∾$5667$)))↙($2747$↬$5342$)⇷(↩$5612$)⨰($2939$⨪↰⇹$1892$)⊴($8086$⨐⩸⫘$2242$)","expression":"(↽≂(⊙↵-(⊺⇮5903⇼⇔∾⊺⇮5667)))↙(⊺⇮2747↬⊺⇮5342)⇷(↩⊺⇮5612)⨰(⊺⇮2939⨪↰⇹⊺⇮1892)⊴(⊺⇮8086⨐⩸⫘⊺⇮2242)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3247,"operation_count":11,"complexity_ratio":295.1818181818182,"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":5903,"base":10},"right_expr":{"type":"numeric_atoms","value":5667,"base":10}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2747,"base":10},"right_expr":{"type":"numeric_atoms","value":5342,"base":10}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":5612,"base":10}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2939,"base":10},"right_expr":{"type":"numeric_atoms","value":1892,"base":10}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":8086,"base":10},"right_expr":{"type":"numeric_atoms","value":2242,"base":10}}}}},"used_operators":["yyfyN0ffXY","u6S6b8DprG","oWn0xqSxBt","tifHPKVTfV","eewbuw0ToL","mp7IySMOzn","B5M0gjZbta","jLgFTUHLKL","Nsiff2A1zJ","tmPS8pqC7x","fu6greOZ01"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rGHVDoGpnC","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","dWAJyo7jo9","14qkJME0vr","rJVOvQCfKK","3ViojmjbAp"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5903","layer":4},{"info":"number node, value=5667","layer":4},{"info":"compute binary expreesion, left_input=5903, right_input=5667, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-236","layer":3},{"info":"compute unary expreesion, input=-236, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=0","layer":1},{"info":"number node, value=2747","layer":4},{"info":"number node, value=5342","layer":4},{"info":"compute binary expreesion, left_input=2747, right_input=5342, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=5612","layer":4},{"info":"compute unary expreesion, input=5612, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-42116","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-42116, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"number node, value=2939","layer":4},{"info":"number node, value=1892","layer":4},{"info":"compute binary expreesion, left_input=2939, right_input=1892, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2939","layer":3},{"info":"number node, value=8086","layer":4},{"info":"number node, value=2242","layer":4},{"info":"compute binary expreesion, left_input=8086, right_input=2242, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=2939, 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 = 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 = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":0}],"base":10,"result_base":10,"text":"(↽≂(⊙↵-(⊺⇮5903⇼⇔∾⊺⇮5667)))↙(⊺⇮2747↬⊺⇮5342)⇷(↩⊺⇮5612)⨰(⊺⇮2939⨪↰⇹⊺⇮1892)⊴(⊺⇮8086⨐⩸⫘⊺⇮2242)=⊺⇮0","reverse_text":"⊺⇮0=(↽≂(⊙↵-(⊺⇮5903⇼⇔∾⊺⇮5667)))↙(⊺⇮2747↬⊺⇮5342)⇷(↩⊺⇮5612)⨰(⊺⇮2939⨪↰⇹⊺⇮1892)⊴(⊺⇮8086⨐⩸⫘⊺⇮2242)","cot":[{"info":"⊺⇮5903⇼⇔∾⊺⇮5667=⊺⇮-236","layer":3},{"info":"⊙↵-⊺⇮-236=⊺⇮0","layer":2},{"info":"↽≂⊺⇮0=⊺⇮0","layer":1},{"info":"⊺⇮2747↬⊺⇮5342=NaN","layer":3},{"info":"↩⊺⇮5612=⊺⇮-42116","layer":3},{"info":"NaN⇷⊺⇮-42116=NaN","layer":2},{"info":"⊺⇮2939⨪↰⇹⊺⇮1892=⊺⇮2939","layer":3},{"info":"⊺⇮8086⨐⩸⫘⊺⇮2242=NaN","layer":3},{"info":"⊺⇮2939⊴NaN=NaN","layer":2},{"info":"NaN⨰NaN=NaN","layer":1},{"info":"⊺⇮0↙NaN=⊺⇮0","layer":0}]}
{"id":721,"expression_no_base_symbol":"($1560$↬$2980$%$5324$⩷∴$2918$/$2296$⊴$1231$⋥≓≎($2546$⫸⊐$2919$))⩷∴((⪝⪂⫅(≉$1311$))≭(↩$3541$⨳⩥⨓$2074$))","expression":"(⊺⇮1560↬⊺⇮2980%⊺⇮5324⩷∴⊺⇮2918/⊺⇮2296⊴⊺⇮1231⋥≓≎(⊺⇮2546⫸⊐⊺⇮2919))⩷∴((⪝⪂⫅(≉⊺⇮1311))≭(↩⊺⇮3541⨳⩥⨓⊺⇮2074))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1793,"operation_count":13,"complexity_ratio":137.92307692307693,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1560,"base":10},"right_expr":{"type":"numeric_atoms","value":2980,"base":10}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":5324,"base":10},"right_expr":{"type":"numeric_atoms","value":2918,"base":10}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2296,"base":10},"right_expr":{"type":"numeric_atoms","value":1231,"base":10}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2546,"base":10},"right_expr":{"type":"numeric_atoms","value":2919,"base":10}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1311,"base":10}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3541,"base":10},"right_expr":{"type":"numeric_atoms","value":2074,"base":10}}}}},"used_operators":["9FxExcQeMw","XhwjNDsVaA","k8jYdgA6NY","B5M0gjZbta","Qy55tPpLXF","Nsiff2A1zJ","mqXw5SEYmG","rxpJgHHUmx","XTarYq4gQB","e1ybzncUwg","jLgFTUHLKL","nCS4ZIUYfx"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","rysDP5nf3Z","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","AHs5Up7iyr","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1560","layer":4},{"info":"number node, value=2980","layer":4},{"info":"compute binary expreesion, left_input=1560, right_input=2980, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=5324","layer":4},{"info":"number node, value=2918","layer":4},{"info":"compute binary expreesion, left_input=5324, right_input=2918, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=4780","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4780, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=2296","layer":4},{"info":"number node, value=1231","layer":4},{"info":"compute binary expreesion, left_input=2296, right_input=1231, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=2546","layer":4},{"info":"number node, value=2919","layer":4},{"info":"compute binary expreesion, left_input=2546, right_input=2919, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=11551","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=11551, 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 = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1311","layer":4},{"info":"compute unary expreesion, input=1311, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1842","layer":3},{"info":"compute unary expreesion, input=1842, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-270774","layer":2},{"info":"number node, value=3541","layer":4},{"info":"number node, value=2074","layer":4},{"info":"compute binary expreesion, left_input=3541, right_input=2074, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1467","layer":3},{"info":"compute unary expreesion, input=-1467, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=8488","layer":2},{"info":"compute binary expreesion, left_input=-270774, right_input=8488, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1560↬⊺⇮2980%⊺⇮5324⩷∴⊺⇮2918/⊺⇮2296⊴⊺⇮1231⋥≓≎(⊺⇮2546⫸⊐⊺⇮2919))⩷∴((⪝⪂⫅(≉⊺⇮1311))≭(↩⊺⇮3541⨳⩥⨓⊺⇮2074))=NaN","reverse_text":"NaN=(⊺⇮1560↬⊺⇮2980%⊺⇮5324⩷∴⊺⇮2918/⊺⇮2296⊴⊺⇮1231⋥≓≎(⊺⇮2546⫸⊐⊺⇮2919))⩷∴((⪝⪂⫅(≉⊺⇮1311))≭(↩⊺⇮3541⨳⩥⨓⊺⇮2074))","cot":[{"info":"⊺⇮1560↬⊺⇮2980=NaN","layer":3},{"info":"⊺⇮5324⩷∴⊺⇮2918=⊺⇮4780","layer":3},{"info":"NaN%⊺⇮4780=NaN","layer":2},{"info":"⊺⇮2296⊴⊺⇮1231=NaN","layer":3},{"info":"⊺⇮2546⫸⊐⊺⇮2919=⊺⇮11551","layer":3},{"info":"NaN⋥≓≎⊺⇮11551=⊺⇮67","layer":2},{"info":"NaN/⊺⇮67=NaN","layer":1},{"info":"≉⊺⇮1311=⊺⇮1842","layer":3},{"info":"⪝⪂⫅⊺⇮1842=⊺⇮-270774","layer":2},{"info":"⊺⇮3541⨳⩥⨓⊺⇮2074=⊺⇮-1467","layer":3},{"info":"↩⊺⇮-1467=⊺⇮8488","layer":2},{"info":"⊺⇮-270774≭⊺⇮8488=NaN","layer":1},{"info":"NaN⩷∴NaN=NaN","layer":0}]}
{"id":722,"expression_no_base_symbol":"(($5855$≣⋋)-(↣≠⋷$6968$))⩨(↣≠⋷($1838$⋷$2135$))⩨(($1681$⨁⊸⫻)⋷($3057$⫡⨏$1126$))⨟⋌⩍(+⊝⨔($2295$+$9112$))","expression":"((⊺⇮5855≣⋋)-(↣≠⋷⊺⇮6968))⩨(↣≠⋷(⊺⇮1838⋷⊺⇮2135))⩨((⊺⇮1681⨁⊸⫻)⋷(⊺⇮3057⫡⨏⊺⇮1126))⨟⋌⩍(+⊝⨔(⊺⇮2295+⊺⇮9112))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":585,"operation_count":13,"complexity_ratio":45.0,"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":5855,"base":10}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":6968,"base":10}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1838,"base":10},"right_expr":{"type":"numeric_atoms","value":2135,"base":10}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1681,"base":10}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3057,"base":10},"right_expr":{"type":"numeric_atoms","value":1126,"base":10}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2295,"base":10},"right_expr":{"type":"numeric_atoms","value":9112,"base":10}}}}},"used_operators":["2DlMacCsIx","rysDP5nf3Z","Tcnh7f0tEr","Asc51vEJeQ","23Mk6UjR3U","rGHVDoGpnC","glklzrTFfD","QMFrweE19q","DhbWaqg5eL","W4YGzv6Whe"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5855","layer":4},{"info":"compute unary expreesion, input=5855, 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=6968","layer":4},{"info":"compute unary expreesion, input=6968, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1838","layer":4},{"info":"number node, value=2135","layer":4},{"info":"compute binary expreesion, left_input=1838, right_input=2135, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2432","layer":3},{"info":"compute unary expreesion, input=2432, 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 = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"number node, value=1681","layer":4},{"info":"compute unary expreesion, input=1681, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1681","layer":3},{"info":"number node, value=3057","layer":4},{"info":"number node, value=1126","layer":4},{"info":"compute binary expreesion, left_input=3057, right_input=1126, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=18320","layer":3},{"info":"compute binary expreesion, left_input=1681, right_input=18320, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=34959","layer":2},{"info":"number node, value=2295","layer":4},{"info":"number node, value=9112","layer":4},{"info":"compute binary expreesion, left_input=2295, right_input=9112, op_id = W4YGzv6Whe binary_op_definition= 'None', output=11407","layer":3},{"info":"compute unary expreesion, input=11407, 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=34959, right_input=1522, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮5855≣⋋)-(↣≠⋷⊺⇮6968))⩨(↣≠⋷(⊺⇮1838⋷⊺⇮2135))⩨((⊺⇮1681⨁⊸⫻)⋷(⊺⇮3057⫡⨏⊺⇮1126))⨟⋌⩍(+⊝⨔(⊺⇮2295+⊺⇮9112))=NaN","reverse_text":"NaN=((⊺⇮5855≣⋋)-(↣≠⋷⊺⇮6968))⩨(↣≠⋷(⊺⇮1838⋷⊺⇮2135))⩨((⊺⇮1681⨁⊸⫻)⋷(⊺⇮3057⫡⨏⊺⇮1126))⨟⋌⩍(+⊝⨔(⊺⇮2295+⊺⇮9112))","cot":[{"info":"⊺⇮5855≣⋋=⊺⇮0","layer":3},{"info":"↣≠⋷⊺⇮6968=NaN","layer":3},{"info":"⊺⇮0-NaN=NaN","layer":2},{"info":"⊺⇮1838⋷⊺⇮2135=⊺⇮2432","layer":3},{"info":"↣≠⋷⊺⇮2432=NaN","layer":2},{"info":"NaN⩨NaN=NaN","layer":1},{"info":"⊺⇮1681⨁⊸⫻=⊺⇮1681","layer":3},{"info":"⊺⇮3057⫡⨏⊺⇮1126=⊺⇮18320","layer":3},{"info":"⊺⇮1681⋷⊺⇮18320=⊺⇮34959","layer":2},{"info":"⊺⇮2295+⊺⇮9112=⊺⇮11407","layer":3},{"info":"+⊝⨔⊺⇮11407=⊺⇮1522","layer":2},{"info":"⊺⇮34959⨟⋌⩍⊺⇮1522=NaN","layer":1},{"info":"NaN⩨NaN=NaN","layer":0}]}
{"id":723,"expression_no_base_symbol":"((($1281$⪨≂$1065$)≋⫹)⊉≛↸($5794$⪄$4496$)⩚⊴⇥($2199$⩚⊴⇥$1382$))⪘⫢(⩦⩻⨪$5482$⨎$4690$)⨪↰⇹($2172$⨎$1819$⊠≄⫣)","expression":"(((⊺⇮1281⪨≂⊺⇮1065)≋⫹)⊉≛↸(⊺⇮5794⪄⊺⇮4496)⩚⊴⇥(⊺⇮2199⩚⊴⇥⊺⇮1382))⪘⫢(⩦⩻⨪⊺⇮5482⨎⊺⇮4690)⨪↰⇹(⊺⇮2172⨎⊺⇮1819⊠≄⫣)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4820,"operation_count":12,"complexity_ratio":401.6666666666667,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1281,"base":10},"right_expr":{"type":"numeric_atoms","value":1065,"base":10}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":5794,"base":10},"right_expr":{"type":"numeric_atoms","value":4496,"base":10}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2199,"base":10},"right_expr":{"type":"numeric_atoms","value":1382,"base":10}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5482,"base":10},"right_expr":{"type":"numeric_atoms","value":4690,"base":10}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2172,"base":10},"right_expr":{"type":"numeric_atoms","value":1819,"base":10}}}}},"used_operators":["oacrs7FA3X","DZ8iAZOCBD","N41Kp7NANJ","sdazOOVcIp","NTOWxs364D","SUmda5xLS4","tmPS8pqC7x","2td37pGCOC","rJVOvQCfKK","DIvbN7qnHd"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd"],"result":"⊺⇮-1","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1281","layer":4},{"info":"number node, value=1065","layer":4},{"info":"compute binary expreesion, left_input=1281, right_input=1065, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=534","layer":3},{"info":"compute unary expreesion, input=534, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-1068","layer":2},{"info":"number node, value=5794","layer":4},{"info":"number node, value=4496","layer":4},{"info":"compute binary expreesion, left_input=5794, right_input=4496, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-871585","layer":3},{"info":"number node, value=2199","layer":4},{"info":"number node, value=1382","layer":4},{"info":"compute binary expreesion, left_input=2199, right_input=1382, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3702","layer":3},{"info":"compute binary expreesion, left_input=-871585, right_input=-3702, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=875166","layer":2},{"info":"compute binary expreesion, left_input=-1068, right_input=875166, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-875166","layer":1},{"info":"number node, value=5482","layer":4},{"info":"number node, value=4690","layer":4},{"info":"compute binary expreesion, left_input=5482, right_input=4690, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4690","layer":3},{"info":"compute unary expreesion, input=4690, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=4690","layer":2},{"info":"number node, value=2172","layer":4},{"info":"number node, value=1819","layer":4},{"info":"compute binary expreesion, left_input=2172, right_input=1819, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1819","layer":3},{"info":"compute unary expreesion, input=1819, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=4690, 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=4690","layer":1},{"info":"compute binary expreesion, left_input=-875166, right_input=4690, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮1281⪨≂⊺⇮1065)≋⫹)⊉≛↸(⊺⇮5794⪄⊺⇮4496)⩚⊴⇥(⊺⇮2199⩚⊴⇥⊺⇮1382))⪘⫢(⩦⩻⨪⊺⇮5482⨎⊺⇮4690)⨪↰⇹(⊺⇮2172⨎⊺⇮1819⊠≄⫣)=⊺⇮-1","reverse_text":"⊺⇮-1=(((⊺⇮1281⪨≂⊺⇮1065)≋⫹)⊉≛↸(⊺⇮5794⪄⊺⇮4496)⩚⊴⇥(⊺⇮2199⩚⊴⇥⊺⇮1382))⪘⫢(⩦⩻⨪⊺⇮5482⨎⊺⇮4690)⨪↰⇹(⊺⇮2172⨎⊺⇮1819⊠≄⫣)","cot":[{"info":"⊺⇮1281⪨≂⊺⇮1065=⊺⇮534","layer":3},{"info":"⊺⇮534≋⫹=⊺⇮-1068","layer":2},{"info":"⊺⇮5794⪄⊺⇮4496=⊺⇮-871585","layer":3},{"info":"⊺⇮2199⩚⊴⇥⊺⇮1382=⊺⇮-3702","layer":3},{"info":"⊺⇮-871585⩚⊴⇥⊺⇮-3702=⊺⇮875166","layer":2},{"info":"⊺⇮-1068⊉≛↸⊺⇮875166=⊺⇮-875166","layer":1},{"info":"⊺⇮5482⨎⊺⇮4690=⊺⇮4690","layer":3},{"info":"⩦⩻⨪⊺⇮4690=⊺⇮4690","layer":2},{"info":"⊺⇮2172⨎⊺⇮1819=⊺⇮1819","layer":3},{"info":"⊺⇮1819⊠≄⫣=⊺⇮0","layer":2},{"info":"⊺⇮4690⨪↰⇹⊺⇮0=⊺⇮4690","layer":1},{"info":"⊺⇮-875166⪘⫢⊺⇮4690=⊺⇮-1","layer":0}]}
{"id":724,"expression_no_base_symbol":"(((≦∁$1462$)⨽(≦∁$6275$))⨓(+⊝⨔(⪝⪂⫅$5525$)))⨟⋌⩍(((⫓⪴$7764$)≎⊠⪸($1255$⨸⪁$1225$))∼(($1576$∲⫓$3275$)⇷$2426$∼$1291$))","expression":"(((≦∁⊺⇮1462)⨽(≦∁⊺⇮6275))⨓(+⊝⨔(⪝⪂⫅⊺⇮5525)))⨟⋌⩍(((⫓⪴⊺⇮7764)≎⊠⪸(⊺⇮1255⨸⪁⊺⇮1225))∼((⊺⇮1576∲⫓⊺⇮3275)⇷⊺⇮2426∼⊺⇮1291))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":11270,"operation_count":14,"complexity_ratio":805.0,"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":1462,"base":10}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":6275,"base":10}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":5525,"base":10}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":7764,"base":10}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1255,"base":10},"right_expr":{"type":"numeric_atoms","value":1225,"base":10}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1576,"base":10},"right_expr":{"type":"numeric_atoms","value":3275,"base":10}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2426,"base":10},"right_expr":{"type":"numeric_atoms","value":1291,"base":10}}}}},"used_operators":["rGHVDoGpnC","3ViojmjbAp","8HhzD0ZcuI","9ICcGScMcE","DhbWaqg5eL","XTarYq4gQB","DyGG3AbaNP","bJkvcejdHO","eLxqMNBOBk","g55IO6H4Gj","mp7IySMOzn","i8ToyICDmI"],"dependent_operators":["Tcnh7f0tEr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","9HNa5Wba9A","8w2t5hMYqp","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","9HNa5Wba9A","W4YGzv6Whe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1462","layer":4},{"info":"compute unary expreesion, input=1462, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1462","layer":3},{"info":"number node, value=6275","layer":4},{"info":"compute unary expreesion, input=6275, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=6275","layer":3},{"info":"compute binary expreesion, left_input=1462, right_input=6275, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-6429843","layer":2},{"info":"number node, value=5525","layer":4},{"info":"compute unary expreesion, input=5525, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-812175","layer":3},{"info":"compute unary expreesion, input=-812175, 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=-6429843, right_input=1522, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1525","layer":1},{"info":"number node, value=7764","layer":4},{"info":"compute unary expreesion, input=7764, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=60279696","layer":3},{"info":"number node, value=1255","layer":4},{"info":"number node, value=1225","layer":4},{"info":"compute binary expreesion, left_input=1255, right_input=1225, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=4960","layer":3},{"info":"compute binary expreesion, left_input=60279696, right_input=4960, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=inf","layer":2},{"info":"number node, value=1576","layer":4},{"info":"number node, value=3275","layer":4},{"info":"compute binary expreesion, left_input=1576, right_input=3275, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=2426","layer":4},{"info":"number node, value=1291","layer":4},{"info":"compute binary expreesion, left_input=2426, right_input=1291, 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 = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=inf, 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=-1525, 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":10,"result_base":10,"text":"(((≦∁⊺⇮1462)⨽(≦∁⊺⇮6275))⨓(+⊝⨔(⪝⪂⫅⊺⇮5525)))⨟⋌⩍(((⫓⪴⊺⇮7764)≎⊠⪸(⊺⇮1255⨸⪁⊺⇮1225))∼((⊺⇮1576∲⫓⊺⇮3275)⇷⊺⇮2426∼⊺⇮1291))=NaN","reverse_text":"NaN=(((≦∁⊺⇮1462)⨽(≦∁⊺⇮6275))⨓(+⊝⨔(⪝⪂⫅⊺⇮5525)))⨟⋌⩍(((⫓⪴⊺⇮7764)≎⊠⪸(⊺⇮1255⨸⪁⊺⇮1225))∼((⊺⇮1576∲⫓⊺⇮3275)⇷⊺⇮2426∼⊺⇮1291))","cot":[{"info":"≦∁⊺⇮1462=⊺⇮1462","layer":3},{"info":"≦∁⊺⇮6275=⊺⇮6275","layer":3},{"info":"⊺⇮1462⨽⊺⇮6275=⊺⇮-6429843","layer":2},{"info":"⪝⪂⫅⊺⇮5525=⊺⇮-812175","layer":3},{"info":"+⊝⨔⊺⇮-812175=⊺⇮1522","layer":2},{"info":"⊺⇮-6429843⨓⊺⇮1522=⊺⇮-1525","layer":1},{"info":"⫓⪴⊺⇮7764=⊺⇮60279696","layer":3},{"info":"⊺⇮1255⨸⪁⊺⇮1225=⊺⇮4960","layer":3},{"info":"⊺⇮60279696≎⊠⪸⊺⇮4960=Inf","layer":2},{"info":"⊺⇮1576∲⫓⊺⇮3275=⊺⇮0","layer":3},{"info":"⊺⇮2426∼⊺⇮1291=NaN","layer":3},{"info":"⊺⇮0⇷NaN=NaN","layer":2},{"info":"Inf∼NaN=NaN","layer":1},{"info":"⊺⇮-1525⨟⋌⩍NaN=NaN","layer":0}]}
{"id":725,"expression_no_base_symbol":"(($3023$⪐)⪄$3597$⋓$3064$⫡⨏($2132$⪘⫢$1156$)⨟⋌⩍$2724$≹⇙⪍$2882$)⊭↱(⊥($2788$⨓$4753$))≹⇙⪍((↩$2279$)⪮%⊝($1147$⪨≂$1409$))","expression":"((⊺⇮3023⪐)⪄⊺⇮3597⋓⊺⇮3064⫡⨏(⊺⇮2132⪘⫢⊺⇮1156)⨟⋌⩍⊺⇮2724≹⇙⪍⊺⇮2882)⊭↱(⊥(⊺⇮2788⨓⊺⇮4753))≹⇙⪍((↩⊺⇮2279)⪮%⊝(⊺⇮1147⪨≂⊺⇮1409))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4931,"operation_count":14,"complexity_ratio":352.2142857142857,"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":3023,"base":10}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3597,"base":10},"right_expr":{"type":"numeric_atoms","value":3064,"base":10}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2132,"base":10},"right_expr":{"type":"numeric_atoms","value":1156,"base":10}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2724,"base":10},"right_expr":{"type":"numeric_atoms","value":2882,"base":10}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2788,"base":10},"right_expr":{"type":"numeric_atoms","value":4753,"base":10}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":2279,"base":10}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1147,"base":10},"right_expr":{"type":"numeric_atoms","value":1409,"base":10}}}}},"used_operators":["COABgblf1C","QMFrweE19q","SUmda5xLS4","eH2TOUuTDT","T2fj7uvVaJ","rGHVDoGpnC","oacrs7FA3X","AHs5Up7iyr","Q3PJZHRvZv","3ViojmjbAp","IWmyXbctLI","jLgFTUHLKL","sdazOOVcIp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","Tcnh7f0tEr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","dWAJyo7jo9","fu6greOZ01","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3023","layer":4},{"info":"compute unary expreesion, input=3023, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=6046","layer":3},{"info":"number node, value=3597","layer":4},{"info":"number node, value=3064","layer":4},{"info":"compute binary expreesion, left_input=3597, right_input=3064, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=6046, right_input=0, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-890897","layer":2},{"info":"number node, value=2132","layer":4},{"info":"number node, value=1156","layer":4},{"info":"compute binary expreesion, left_input=2132, right_input=1156, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4140","layer":3},{"info":"number node, value=2724","layer":4},{"info":"number node, value=2882","layer":4},{"info":"compute binary expreesion, left_input=2724, right_input=2882, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=4140, 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=-890897, 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=2788","layer":4},{"info":"number node, value=4753","layer":4},{"info":"compute binary expreesion, left_input=2788, right_input=4753, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4756","layer":3},{"info":"compute unary expreesion, input=-4756, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"number node, value=2279","layer":4},{"info":"compute unary expreesion, input=2279, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-15452","layer":3},{"info":"number node, value=1147","layer":4},{"info":"number node, value=1409","layer":4},{"info":"compute binary expreesion, left_input=1147, right_input=1409, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-422","layer":3},{"info":"compute binary expreesion, left_input=-15452, right_input=-422, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-30588","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-30588, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮3023⪐)⪄⊺⇮3597⋓⊺⇮3064⫡⨏(⊺⇮2132⪘⫢⊺⇮1156)⨟⋌⩍⊺⇮2724≹⇙⪍⊺⇮2882)⊭↱(⊥(⊺⇮2788⨓⊺⇮4753))≹⇙⪍((↩⊺⇮2279)⪮%⊝(⊺⇮1147⪨≂⊺⇮1409))=NaN","reverse_text":"NaN=((⊺⇮3023⪐)⪄⊺⇮3597⋓⊺⇮3064⫡⨏(⊺⇮2132⪘⫢⊺⇮1156)⨟⋌⩍⊺⇮2724≹⇙⪍⊺⇮2882)⊭↱(⊥(⊺⇮2788⨓⊺⇮4753))≹⇙⪍((↩⊺⇮2279)⪮%⊝(⊺⇮1147⪨≂⊺⇮1409))","cot":[{"info":"⊺⇮3023⪐=⊺⇮6046","layer":3},{"info":"⊺⇮3597⋓⊺⇮3064=⊺⇮0","layer":3},{"info":"⊺⇮6046⪄⊺⇮0=⊺⇮-890897","layer":2},{"info":"⊺⇮2132⪘⫢⊺⇮1156=⊺⇮4140","layer":3},{"info":"⊺⇮2724≹⇙⪍⊺⇮2882=NaN","layer":3},{"info":"⊺⇮4140⨟⋌⩍NaN=NaN","layer":2},{"info":"⊺⇮-890897⫡⨏NaN=NaN","layer":1},{"info":"⊺⇮2788⨓⊺⇮4753=⊺⇮-4756","layer":3},{"info":"⊥⊺⇮-4756=NaN","layer":2},{"info":"↩⊺⇮2279=⊺⇮-15452","layer":3},{"info":"⊺⇮1147⪨≂⊺⇮1409=⊺⇮-422","layer":3},{"info":"⊺⇮-15452⪮%⊝⊺⇮-422=⊺⇮-30588","layer":2},{"info":"NaN≹⇙⪍⊺⇮-30588=NaN","layer":1},{"info":"NaN⊭↱NaN=NaN","layer":0}]}
{"id":726,"expression_no_base_symbol":"(⪲⇎($1026$⩷∴$3151$⇼⇔∾$3958$⨰$1522$))⩷∴(($6505$⨸⪁$4272$)⨎($7204$⫥∨⫟$7249$)⪐)","expression":"(⪲⇎(⊺⇮1026⩷∴⊺⇮3151⇼⇔∾⊺⇮3958⨰⊺⇮1522))⩷∴((⊺⇮6505⨸⪁⊺⇮4272)⨎(⊺⇮7204⫥∨⫟⊺⇮7249)⪐)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":182,"operation_count":9,"complexity_ratio":20.22222222222222,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1026,"base":10},"right_expr":{"type":"numeric_atoms","value":3151,"base":10}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3958,"base":10},"right_expr":{"type":"numeric_atoms","value":1522,"base":10}}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":6505,"base":10},"right_expr":{"type":"numeric_atoms","value":4272,"base":10}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":7204,"base":10},"right_expr":{"type":"numeric_atoms","value":7249,"base":10}}}}},"used_operators":["9FxExcQeMw","XPYlsWDdGa","tifHPKVTfV","eewbuw0ToL","eH2TOUuTDT","rJVOvQCfKK","g55IO6H4Gj","KYD54nUTWz"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1026","layer":4},{"info":"number node, value=3151","layer":4},{"info":"compute binary expreesion, left_input=1026, right_input=3151, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-4282","layer":3},{"info":"number node, value=3958","layer":4},{"info":"number node, value=1522","layer":4},{"info":"compute binary expreesion, left_input=3958, right_input=1522, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2446","layer":3},{"info":"compute binary expreesion, left_input=-4282, right_input=2446, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=6728","layer":2},{"info":"compute unary expreesion, input=6728, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=13456","layer":1},{"info":"number node, value=6505","layer":4},{"info":"number node, value=4272","layer":4},{"info":"compute binary expreesion, left_input=6505, right_input=4272, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=21554","layer":3},{"info":"number node, value=7204","layer":4},{"info":"number node, value=7249","layer":4},{"info":"compute binary expreesion, left_input=7204, right_input=7249, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=21554, 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 = 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=13456, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⪲⇎(⊺⇮1026⩷∴⊺⇮3151⇼⇔∾⊺⇮3958⨰⊺⇮1522))⩷∴((⊺⇮6505⨸⪁⊺⇮4272)⨎(⊺⇮7204⫥∨⫟⊺⇮7249)⪐)=NaN","reverse_text":"NaN=(⪲⇎(⊺⇮1026⩷∴⊺⇮3151⇼⇔∾⊺⇮3958⨰⊺⇮1522))⩷∴((⊺⇮6505⨸⪁⊺⇮4272)⨎(⊺⇮7204⫥∨⫟⊺⇮7249)⪐)","cot":[{"info":"⊺⇮1026⩷∴⊺⇮3151=⊺⇮-4282","layer":3},{"info":"⊺⇮3958⨰⊺⇮1522=⊺⇮2446","layer":3},{"info":"⊺⇮-4282⇼⇔∾⊺⇮2446=⊺⇮6728","layer":2},{"info":"⪲⇎⊺⇮6728=⊺⇮13456","layer":1},{"info":"⊺⇮6505⨸⪁⊺⇮4272=⊺⇮21554","layer":3},{"info":"⊺⇮7204⫥∨⫟⊺⇮7249=NaN","layer":3},{"info":"⊺⇮21554⨎NaN=NaN","layer":2},{"info":"NaN⪐=NaN","layer":1},{"info":"⊺⇮13456⩷∴NaN=NaN","layer":0}]}
{"id":727,"expression_no_base_symbol":"(↽≂(($1590$+$1039$)≦≮≮))⨓((⨈⫕$5340$)↙(⨑⩽⪐$1700$)⨸⪁(⨞⊢$3459$)⨪↰⇹(⪝⪂⫅$3229$))","expression":"(↽≂((⊺⇮1590+⊺⇮1039)≦≮≮))⨓((⨈⫕⊺⇮5340)↙(⨑⩽⪐⊺⇮1700)⨸⪁(⨞⊢⊺⇮3459)⨪↰⇹(⪝⪂⫅⊺⇮3229))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":11416,"operation_count":11,"complexity_ratio":1037.8181818181818,"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":1590,"base":10},"right_expr":{"type":"numeric_atoms","value":1039,"base":10}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":5340,"base":10}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1700,"base":10}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":3459,"base":10}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":3229,"base":10}}}}},"used_operators":["3ViojmjbAp","u6S6b8DprG","D4vGDi5EA2","W4YGzv6Whe","g55IO6H4Gj","yyfyN0ffXY","megm06wKyl","AF7qkfDlqP","tmPS8pqC7x","xUOZtlo3hN","XTarYq4gQB"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp"],"result":"⊺⇮-7227","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1590","layer":4},{"info":"number node, value=1039","layer":4},{"info":"compute binary expreesion, left_input=1590, right_input=1039, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2629","layer":3},{"info":"compute unary expreesion, input=2629, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-7887","layer":2},{"info":"compute unary expreesion, input=-7887, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=15774","layer":1},{"info":"number node, value=5340","layer":4},{"info":"compute unary expreesion, input=5340, 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=1700","layer":4},{"info":"compute unary expreesion, input=1700, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1427","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-1427, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-21","layer":2},{"info":"number node, value=3459","layer":4},{"info":"compute unary expreesion, input=3459, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-3633","layer":3},{"info":"number node, value=3229","layer":4},{"info":"compute unary expreesion, input=3229, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-474663","layer":3},{"info":"compute binary expreesion, left_input=-3633, right_input=-474663, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3633","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=3633, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=7224","layer":1},{"info":"compute binary expreesion, left_input=15774, right_input=7224, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-7227","layer":0}],"base":10,"result_base":10,"text":"(↽≂((⊺⇮1590+⊺⇮1039)≦≮≮))⨓((⨈⫕⊺⇮5340)↙(⨑⩽⪐⊺⇮1700)⨸⪁(⨞⊢⊺⇮3459)⨪↰⇹(⪝⪂⫅⊺⇮3229))=⊺⇮-7227","reverse_text":"⊺⇮-7227=(↽≂((⊺⇮1590+⊺⇮1039)≦≮≮))⨓((⨈⫕⊺⇮5340)↙(⨑⩽⪐⊺⇮1700)⨸⪁(⨞⊢⊺⇮3459)⨪↰⇹(⪝⪂⫅⊺⇮3229))","cot":[{"info":"⊺⇮1590+⊺⇮1039=⊺⇮2629","layer":3},{"info":"⊺⇮2629≦≮≮=⊺⇮-7887","layer":2},{"info":"↽≂⊺⇮-7887=⊺⇮15774","layer":1},{"info":"⨈⫕⊺⇮5340=⊺⇮-21","layer":3},{"info":"⨑⩽⪐⊺⇮1700=⊺⇮-1427","layer":3},{"info":"⊺⇮-21↙⊺⇮-1427=⊺⇮-21","layer":2},{"info":"⨞⊢⊺⇮3459=⊺⇮-3633","layer":3},{"info":"⪝⪂⫅⊺⇮3229=⊺⇮-474663","layer":3},{"info":"⊺⇮-3633⨪↰⇹⊺⇮-474663=⊺⇮3633","layer":2},{"info":"⊺⇮-21⨸⪁⊺⇮3633=⊺⇮7224","layer":1},{"info":"⊺⇮15774⨓⊺⇮7224=⊺⇮-7227","layer":0}]}
{"id":728,"expression_no_base_symbol":"(⨑⩽⪐(⨑⩽⪐$1459$⋳⪒$6259$))⨵⪆((⨑⩽⪐$3927$)⪄$1722$⨎$3721$⫡⨏($2574$⨵⪆$2679$)∀⇚≩($8714$≧⫂∧$5100$))","expression":"(⨑⩽⪐(⨑⩽⪐⊺⇮1459⋳⪒⊺⇮6259))⨵⪆((⨑⩽⪐⊺⇮3927)⪄⊺⇮1722⨎⊺⇮3721⫡⨏(⊺⇮2574⨵⪆⊺⇮2679)∀⇚≩(⊺⇮8714≧⫂∧⊺⇮5100))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1246,"operation_count":11,"complexity_ratio":113.27272727272727,"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":1459,"base":10},"right_expr":{"type":"numeric_atoms","value":6259,"base":10}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":3927,"base":10}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1722,"base":10},"right_expr":{"type":"numeric_atoms","value":3721,"base":10}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2574,"base":10},"right_expr":{"type":"numeric_atoms","value":2679,"base":10}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":8714,"base":10},"right_expr":{"type":"numeric_atoms","value":5100,"base":10}}}}},"used_operators":["2DQ55sFlQl","AF7qkfDlqP","12rbrZMWeM","QMFrweE19q","SUmda5xLS4","rJVOvQCfKK","LRNGc0VcxI","Ph9nP6C5qx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd"],"result":"⊺⇮160","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1459","layer":4},{"info":"number node, value=6259","layer":4},{"info":"compute binary expreesion, left_input=1459, right_input=6259, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-3628","layer":3},{"info":"compute unary expreesion, input=-3628, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=8045","layer":2},{"info":"compute unary expreesion, input=8045, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-7772","layer":1},{"info":"number node, value=3927","layer":4},{"info":"compute unary expreesion, input=3927, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-3654","layer":3},{"info":"number node, value=1722","layer":4},{"info":"number node, value=3721","layer":4},{"info":"compute binary expreesion, left_input=1722, right_input=3721, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3721","layer":3},{"info":"compute binary expreesion, left_input=-3654, right_input=3721, 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=2574","layer":4},{"info":"number node, value=2679","layer":4},{"info":"compute binary expreesion, left_input=2574, right_input=2679, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=8714","layer":4},{"info":"number node, value=5100","layer":4},{"info":"compute binary expreesion, left_input=8714, right_input=5100, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4627","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=4627, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=3979, 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=-7772, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":10,"result_base":10,"text":"(⨑⩽⪐(⨑⩽⪐⊺⇮1459⋳⪒⊺⇮6259))⨵⪆((⨑⩽⪐⊺⇮3927)⪄⊺⇮1722⨎⊺⇮3721⫡⨏(⊺⇮2574⨵⪆⊺⇮2679)∀⇚≩(⊺⇮8714≧⫂∧⊺⇮5100))=⊺⇮160","reverse_text":"⊺⇮160=(⨑⩽⪐(⨑⩽⪐⊺⇮1459⋳⪒⊺⇮6259))⨵⪆((⨑⩽⪐⊺⇮3927)⪄⊺⇮1722⨎⊺⇮3721⫡⨏(⊺⇮2574⨵⪆⊺⇮2679)∀⇚≩(⊺⇮8714≧⫂∧⊺⇮5100))","cot":[{"info":"⊺⇮1459⋳⪒⊺⇮6259=⊺⇮-3628","layer":3},{"info":"⨑⩽⪐⊺⇮-3628=⊺⇮8045","layer":2},{"info":"⨑⩽⪐⊺⇮8045=⊺⇮-7772","layer":1},{"info":"⨑⩽⪐⊺⇮3927=⊺⇮-3654","layer":3},{"info":"⊺⇮1722⨎⊺⇮3721=⊺⇮3721","layer":3},{"info":"⊺⇮-3654⪄⊺⇮3721=⊺⇮3979","layer":2},{"info":"⊺⇮2574⨵⪆⊺⇮2679=⊺⇮160","layer":3},{"info":"⊺⇮8714≧⫂∧⊺⇮5100=⊺⇮4627","layer":3},{"info":"⊺⇮160∀⇚≩⊺⇮4627=NaN","layer":2},{"info":"⊺⇮3979⫡⨏NaN=NaN","layer":1},{"info":"⊺⇮-7772⨵⪆NaN=⊺⇮160","layer":0}]}
{"id":729,"expression_no_base_symbol":"((⪝⪂⫅$6135$)⨓($8176$⨎$2676$)/($4925$↪⪝)⋝⋈⪟($3971$⩨$3488$))⇷((↯⪼$3856$)⨓(⫓⪴$1386$)⋓($3583$⪘⫢$4601$⩚⊴⇥(↩$3808$)))","expression":"((⪝⪂⫅⊺⇮6135)⨓(⊺⇮8176⨎⊺⇮2676)/(⊺⇮4925↪⪝)⋝⋈⪟(⊺⇮3971⩨⊺⇮3488))⇷((↯⪼⊺⇮3856)⨓(⫓⪴⊺⇮1386)⋓(⊺⇮3583⪘⫢⊺⇮4601⩚⊴⇥(↩⊺⇮3808)))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5032,"operation_count":15,"complexity_ratio":335.46666666666664,"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":6135,"base":10}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":8176,"base":10},"right_expr":{"type":"numeric_atoms","value":2676,"base":10}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":4925,"base":10}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3971,"base":10},"right_expr":{"type":"numeric_atoms","value":3488,"base":10}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":3856,"base":10}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1386,"base":10}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3583,"base":10},"right_expr":{"type":"numeric_atoms","value":4601,"base":10}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":3808,"base":10}}}}},"used_operators":["mp7IySMOzn","XhwjNDsVaA","3ViojmjbAp","XTarYq4gQB","rJVOvQCfKK","2DDjHMKMc0","l07mrZUIn9","2DlMacCsIx","T2fj7uvVaJ","8jW3W4yZS5","eLxqMNBOBk","NTOWxs364D","oacrs7FA3X","jLgFTUHLKL"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9HNa5Wba9A","8w2t5hMYqp","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6135","layer":4},{"info":"compute unary expreesion, input=6135, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-901845","layer":3},{"info":"number node, value=8176","layer":4},{"info":"number node, value=2676","layer":4},{"info":"compute binary expreesion, left_input=8176, right_input=2676, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2676","layer":3},{"info":"compute binary expreesion, left_input=-901845, right_input=2676, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2679","layer":2},{"info":"number node, value=4925","layer":4},{"info":"compute unary expreesion, input=4925, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=301321350","layer":3},{"info":"number node, value=3971","layer":4},{"info":"number node, value=3488","layer":4},{"info":"compute binary expreesion, left_input=3971, right_input=3488, 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=301321350, right_input=0, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=301321350","layer":2},{"info":"compute binary expreesion, left_input=-2679, right_input=301321350, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":1},{"info":"number node, value=3856","layer":4},{"info":"compute unary expreesion, input=3856, 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=1386","layer":4},{"info":"compute unary expreesion, input=1386, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1920996","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=1920996, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"number node, value=3583","layer":4},{"info":"number node, value=4601","layer":4},{"info":"compute binary expreesion, left_input=3583, right_input=4601, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=7042","layer":3},{"info":"number node, value=3808","layer":4},{"info":"compute unary expreesion, input=3808, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-27684","layer":3},{"info":"compute binary expreesion, left_input=7042, right_input=-27684, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=20521","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=20521, op_id = T2fj7uvVaJ binary_op_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=-1, right_input=0, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":0}],"base":10,"result_base":10,"text":"((⪝⪂⫅⊺⇮6135)⨓(⊺⇮8176⨎⊺⇮2676)/(⊺⇮4925↪⪝)⋝⋈⪟(⊺⇮3971⩨⊺⇮3488))⇷((↯⪼⊺⇮3856)⨓(⫓⪴⊺⇮1386)⋓(⊺⇮3583⪘⫢⊺⇮4601⩚⊴⇥(↩⊺⇮3808)))=⊺⇮0","reverse_text":"⊺⇮0=((⪝⪂⫅⊺⇮6135)⨓(⊺⇮8176⨎⊺⇮2676)/(⊺⇮4925↪⪝)⋝⋈⪟(⊺⇮3971⩨⊺⇮3488))⇷((↯⪼⊺⇮3856)⨓(⫓⪴⊺⇮1386)⋓(⊺⇮3583⪘⫢⊺⇮4601⩚⊴⇥(↩⊺⇮3808)))","cot":[{"info":"⪝⪂⫅⊺⇮6135=⊺⇮-901845","layer":3},{"info":"⊺⇮8176⨎⊺⇮2676=⊺⇮2676","layer":3},{"info":"⊺⇮-901845⨓⊺⇮2676=⊺⇮-2679","layer":2},{"info":"⊺⇮4925↪⪝=⊺⇮301321350","layer":3},{"info":"⊺⇮3971⩨⊺⇮3488=⊺⇮0","layer":3},{"info":"⊺⇮301321350⋝⋈⪟⊺⇮0=⊺⇮301321350","layer":2},{"info":"⊺⇮-2679/⊺⇮301321350=⊺⇮-1","layer":1},{"info":"↯⪼⊺⇮3856=⊺⇮-21","layer":3},{"info":"⫓⪴⊺⇮1386=⊺⇮1920996","layer":3},{"info":"⊺⇮-21⨓⊺⇮1920996=NaN","layer":2},{"info":"⊺⇮3583⪘⫢⊺⇮4601=⊺⇮7042","layer":3},{"info":"↩⊺⇮3808=⊺⇮-27684","layer":3},{"info":"⊺⇮7042⩚⊴⇥⊺⇮-27684=⊺⇮20521","layer":2},{"info":"NaN⋓⊺⇮20521=⊺⇮0","layer":1},{"info":"⊺⇮-1⇷⊺⇮0=⊺⇮0","layer":0}]}
{"id":730,"expression_no_base_symbol":"∂((⨞⊢$8623$)⨰($2034$/$5339$)⫌⩹⨱)","expression":"∂((⨞⊢⊺⇮8623)⨰(⊺⇮2034/⊺⇮5339)⫌⩹⨱)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":433,"operation_count":5,"complexity_ratio":86.6,"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":8623,"base":10}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2034,"base":10},"right_expr":{"type":"numeric_atoms","value":5339,"base":10}}}}},"used_operators":["Uaa54Peajs","EBcxylXtPf","eewbuw0ToL","xUOZtlo3hN","XhwjNDsVaA"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⊺⇮15909","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=8623","layer":4},{"info":"compute unary expreesion, input=8623, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-8797","layer":3},{"info":"number node, value=2034","layer":4},{"info":"number node, value=5339","layer":4},{"info":"compute binary expreesion, left_input=2034, right_input=5339, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=-8797, right_input=0, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-8787","layer":2},{"info":"compute unary expreesion, input=-8787, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=-16173","layer":1},{"info":"compute unary expreesion, input=-16173, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=15909","layer":0}],"base":10,"result_base":10,"text":"∂((⨞⊢⊺⇮8623)⨰(⊺⇮2034/⊺⇮5339)⫌⩹⨱)=⊺⇮15909","reverse_text":"⊺⇮15909=∂((⨞⊢⊺⇮8623)⨰(⊺⇮2034/⊺⇮5339)⫌⩹⨱)","cot":[{"info":"⨞⊢⊺⇮8623=⊺⇮-8797","layer":3},{"info":"⊺⇮2034/⊺⇮5339=⊺⇮0","layer":3},{"info":"⊺⇮-8797⨰⊺⇮0=⊺⇮-8787","layer":2},{"info":"⊺⇮-8787⫌⩹⨱=⊺⇮-16173","layer":1},{"info":"∂⊺⇮-16173=⊺⇮15909","layer":0}]}
{"id":731,"expression_no_base_symbol":"(∂($1428$⋓$4386$⨵⪆($1105$⫡⨏$6278$)))≭(($1913$+$1736$)↛⩡⫤)≹⇙⪍((-$1088$)⪛(⨰⫟⨤$4628$))","expression":"(∂(⊺⇮1428⋓⊺⇮4386⨵⪆(⊺⇮1105⫡⨏⊺⇮6278)))≭((⊺⇮1913+⊺⇮1736)↛⩡⫤)≹⇙⪍((-⊺⇮1088)⪛(⨰⫟⨤⊺⇮4628))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":29199,"operation_count":11,"complexity_ratio":2654.4545454545455,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1428,"base":10},"right_expr":{"type":"numeric_atoms","value":4386,"base":10}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1105,"base":10},"right_expr":{"type":"numeric_atoms","value":6278,"base":10}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1913,"base":10},"right_expr":{"type":"numeric_atoms","value":1736,"base":10}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1088,"base":10}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":4628,"base":10}}}}},"used_operators":["rxpJgHHUmx","Uaa54Peajs","2DQ55sFlQl","T2fj7uvVaJ","QMFrweE19q","AHs5Up7iyr","FU0Cs4j7VP","W4YGzv6Whe","uFcxV4UQCh","t8gj7n24qd","Tw270M8GLb"],"dependent_operators":["AHs5Up7iyr","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1428","layer":4},{"info":"number node, value=4386","layer":4},{"info":"compute binary expreesion, left_input=1428, right_input=4386, op_id = T2fj7uvVaJ binary_op_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=1105","layer":4},{"info":"number node, value=6278","layer":4},{"info":"compute binary expreesion, left_input=1105, right_input=6278, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=18864","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=18864, 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 = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=-424","layer":1},{"info":"number node, value=1913","layer":4},{"info":"number node, value=1736","layer":4},{"info":"compute binary expreesion, left_input=1913, right_input=1736, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3649","layer":3},{"info":"compute unary expreesion, input=3649, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-547088","layer":2},{"info":"number node, value=1088","layer":4},{"info":"compute unary expreesion, input=1088, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1088","layer":3},{"info":"number node, value=4628","layer":4},{"info":"compute unary expreesion, input=4628, 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=-1088, 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=-547088, 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=-424, 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":10,"result_base":10,"text":"(∂(⊺⇮1428⋓⊺⇮4386⨵⪆(⊺⇮1105⫡⨏⊺⇮6278)))≭((⊺⇮1913+⊺⇮1736)↛⩡⫤)≹⇙⪍((-⊺⇮1088)⪛(⨰⫟⨤⊺⇮4628))=NaN","reverse_text":"NaN=(∂(⊺⇮1428⋓⊺⇮4386⨵⪆(⊺⇮1105⫡⨏⊺⇮6278)))≭((⊺⇮1913+⊺⇮1736)↛⩡⫤)≹⇙⪍((-⊺⇮1088)⪛(⨰⫟⨤⊺⇮4628))","cot":[{"info":"⊺⇮1428⋓⊺⇮4386=⊺⇮0","layer":3},{"info":"⊺⇮1105⫡⨏⊺⇮6278=⊺⇮18864","layer":3},{"info":"⊺⇮0⨵⪆⊺⇮18864=⊺⇮160","layer":2},{"info":"∂⊺⇮160=⊺⇮-424","layer":1},{"info":"⊺⇮1913+⊺⇮1736=⊺⇮3649","layer":3},{"info":"⊺⇮3649↛⩡⫤=⊺⇮-547088","layer":2},{"info":"-⊺⇮1088=⊺⇮-1088","layer":3},{"info":"⨰⫟⨤⊺⇮4628=NaN","layer":3},{"info":"⊺⇮-1088⪛NaN=NaN","layer":2},{"info":"⊺⇮-547088≹⇙⪍NaN=NaN","layer":1},{"info":"⊺⇮-424≭NaN=NaN","layer":0}]}
{"id":732,"expression_no_base_symbol":"((⨞⊢$4375$)⇷$2938$⇷$4193$↙($6322$⋳⪒$2260$)⇷$4710$⊴$3749$)⨟⋌⩍($8800$⊉≛↸$3879$*$1130$⋳⪒$2386$)⊴(⊄⩳↩($2735$⫸⊐$4169$))","expression":"((⨞⊢⊺⇮4375)⇷⊺⇮2938⇷⊺⇮4193↙(⊺⇮6322⋳⪒⊺⇮2260)⇷⊺⇮4710⊴⊺⇮3749)⨟⋌⩍(⊺⇮8800⊉≛↸⊺⇮3879*⊺⇮1130⋳⪒⊺⇮2386)⊴(⊄⩳↩(⊺⇮2735⫸⊐⊺⇮4169))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":349497,"operation_count":14,"complexity_ratio":24964.071428571428,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":4375,"base":10}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2938,"base":10},"right_expr":{"type":"numeric_atoms","value":4193,"base":10}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":6322,"base":10},"right_expr":{"type":"numeric_atoms","value":2260,"base":10}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4710,"base":10},"right_expr":{"type":"numeric_atoms","value":3749,"base":10}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":8800,"base":10},"right_expr":{"type":"numeric_atoms","value":3879,"base":10}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1130,"base":10},"right_expr":{"type":"numeric_atoms","value":2386,"base":10}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2735,"base":10},"right_expr":{"type":"numeric_atoms","value":4169,"base":10}}}}},"used_operators":["rGHVDoGpnC","yyfyN0ffXY","mp7IySMOzn","xUOZtlo3hN","12rbrZMWeM","Nsiff2A1zJ","9HNa5Wba9A","DZ8iAZOCBD","8w2t5hMYqp","mqXw5SEYmG"],"dependent_operators":["Tcnh7f0tEr","tmPS8pqC7x","DpFCA1CohY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4375","layer":4},{"info":"compute unary expreesion, input=4375, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-4549","layer":3},{"info":"number node, value=2938","layer":4},{"info":"number node, value=4193","layer":4},{"info":"compute binary expreesion, left_input=2938, right_input=4193, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=8386","layer":3},{"info":"compute binary expreesion, left_input=-4549, right_input=8386, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=16772","layer":2},{"info":"number node, value=6322","layer":4},{"info":"number node, value=2260","layer":4},{"info":"compute binary expreesion, left_input=6322, right_input=2260, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=10097","layer":3},{"info":"number node, value=4710","layer":4},{"info":"number node, value=3749","layer":4},{"info":"compute binary expreesion, left_input=4710, right_input=3749, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=10097, 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=16772, 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=8800","layer":4},{"info":"number node, value=3879","layer":4},{"info":"compute binary expreesion, left_input=8800, right_input=3879, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=17600","layer":3},{"info":"number node, value=1130","layer":4},{"info":"number node, value=2386","layer":4},{"info":"compute binary expreesion, left_input=1130, right_input=2386, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-413","layer":3},{"info":"compute binary expreesion, left_input=17600, right_input=-413, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-7268800","layer":2},{"info":"number node, value=2735","layer":4},{"info":"number node, value=4169","layer":4},{"info":"compute binary expreesion, left_input=2735, right_input=4169, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=16551","layer":3},{"info":"compute unary expreesion, input=16551, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-49653","layer":2},{"info":"compute binary expreesion, left_input=-7268800, right_input=-49653, 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 = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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":10,"result_base":10,"text":"((⨞⊢⊺⇮4375)⇷⊺⇮2938⇷⊺⇮4193↙(⊺⇮6322⋳⪒⊺⇮2260)⇷⊺⇮4710⊴⊺⇮3749)⨟⋌⩍(⊺⇮8800⊉≛↸⊺⇮3879*⊺⇮1130⋳⪒⊺⇮2386)⊴(⊄⩳↩(⊺⇮2735⫸⊐⊺⇮4169))=NaN","reverse_text":"NaN=((⨞⊢⊺⇮4375)⇷⊺⇮2938⇷⊺⇮4193↙(⊺⇮6322⋳⪒⊺⇮2260)⇷⊺⇮4710⊴⊺⇮3749)⨟⋌⩍(⊺⇮8800⊉≛↸⊺⇮3879*⊺⇮1130⋳⪒⊺⇮2386)⊴(⊄⩳↩(⊺⇮2735⫸⊐⊺⇮4169))","cot":[{"info":"⨞⊢⊺⇮4375=⊺⇮-4549","layer":3},{"info":"⊺⇮2938⇷⊺⇮4193=⊺⇮8386","layer":3},{"info":"⊺⇮-4549⇷⊺⇮8386=⊺⇮16772","layer":2},{"info":"⊺⇮6322⋳⪒⊺⇮2260=⊺⇮10097","layer":3},{"info":"⊺⇮4710⊴⊺⇮3749=NaN","layer":3},{"info":"⊺⇮10097⇷NaN=NaN","layer":2},{"info":"⊺⇮16772↙NaN=NaN","layer":1},{"info":"⊺⇮8800⊉≛↸⊺⇮3879=⊺⇮17600","layer":3},{"info":"⊺⇮1130⋳⪒⊺⇮2386=⊺⇮-413","layer":3},{"info":"⊺⇮17600*⊺⇮-413=⊺⇮-7268800","layer":2},{"info":"⊺⇮2735⫸⊐⊺⇮4169=⊺⇮16551","layer":3},{"info":"⊄⩳↩⊺⇮16551=⊺⇮-49653","layer":2},{"info":"⊺⇮-7268800⊴⊺⇮-49653=NaN","layer":1},{"info":"NaN⨟⋌⩍NaN=NaN","layer":0}]}
{"id":733,"expression_no_base_symbol":"≤/(-$1177$-$4424$)⪄(⊙↵-$1667$)⪄$1329$⊴$6344$","expression":"≤/(-⊺⇮1177-⊺⇮4424)⪄(⊙↵-⊺⇮1667)⪄⊺⇮1329⊴⊺⇮6344","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":8183,"operation_count":7,"complexity_ratio":1169.0,"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":1177,"base":10},"right_expr":{"type":"numeric_atoms","value":4424,"base":10}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1667,"base":10}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1329,"base":10},"right_expr":{"type":"numeric_atoms","value":6344,"base":10}}}}},"used_operators":["eLAdDNolq6","SUmda5xLS4","t8gj7n24qd","rysDP5nf3Z","oWn0xqSxBt","Nsiff2A1zJ"],"dependent_operators":["rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1177","layer":4},{"info":"number node, value=4424","layer":4},{"info":"compute binary expreesion, left_input=1177, right_input=4424, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3247","layer":3},{"info":"compute unary expreesion, input=-3247, op_id = t8gj7n24qd, unary_op_definition = 'None', output=3247","layer":2},{"info":"number node, value=1667","layer":4},{"info":"compute unary expreesion, input=1667, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=1329","layer":4},{"info":"number node, value=6344","layer":4},{"info":"compute binary expreesion, left_input=1329, right_input=6344, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"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":2},{"info":"compute binary expreesion, left_input=3247, 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 = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"≤/(-⊺⇮1177-⊺⇮4424)⪄(⊙↵-⊺⇮1667)⪄⊺⇮1329⊴⊺⇮6344=NaN","reverse_text":"NaN=≤/(-⊺⇮1177-⊺⇮4424)⪄(⊙↵-⊺⇮1667)⪄⊺⇮1329⊴⊺⇮6344","cot":[{"info":"⊺⇮1177-⊺⇮4424=⊺⇮-3247","layer":3},{"info":"-⊺⇮-3247=⊺⇮3247","layer":2},{"info":"⊙↵-⊺⇮1667=⊺⇮-1","layer":3},{"info":"⊺⇮1329⊴⊺⇮6344=NaN","layer":3},{"info":"⊺⇮-1⪄NaN=NaN","layer":2},{"info":"⊺⇮3247⪄NaN=NaN","layer":1},{"info":"≤/NaN=NaN","layer":0}]}
{"id":734,"expression_no_base_symbol":"(⨞⊢($3820$⨳⩥⨓$1199$))+⇶⊼(($1425$⪨≂$2836$)⨳⩥⨓($1156$⪒$2614$))∲⫓(∥⊫($6576$⊉≛↸$1295$))⪒($1403$⨓$1145$+$2867$≎⊠⪸$3110$)","expression":"(⨞⊢(⊺⇮3820⨳⩥⨓⊺⇮1199))+⇶⊼((⊺⇮1425⪨≂⊺⇮2836)⨳⩥⨓(⊺⇮1156⪒⊺⇮2614))∲⫓(∥⊫(⊺⇮6576⊉≛↸⊺⇮1295))⪒(⊺⇮1403⨓⊺⇮1145+⊺⇮2867≎⊠⪸⊺⇮3110)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1449,"operation_count":13,"complexity_ratio":111.46153846153847,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3820,"base":10},"right_expr":{"type":"numeric_atoms","value":1199,"base":10}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1425,"base":10},"right_expr":{"type":"numeric_atoms","value":2836,"base":10}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1156,"base":10},"right_expr":{"type":"numeric_atoms","value":2614,"base":10}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":6576,"base":10},"right_expr":{"type":"numeric_atoms","value":1295,"base":10}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1403,"base":10},"right_expr":{"type":"numeric_atoms","value":1145,"base":10}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2867,"base":10},"right_expr":{"type":"numeric_atoms","value":3110,"base":10}}}}},"used_operators":["i8ToyICDmI","TpPTUOHfaN","xUOZtlo3hN","nCS4ZIUYfx","sdazOOVcIp","f6k1SAg4EE","P8v4zCKN1o","DZ8iAZOCBD","W4YGzv6Whe","3ViojmjbAp","bJkvcejdHO"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3820","layer":4},{"info":"number node, value=1199","layer":4},{"info":"compute binary expreesion, left_input=3820, right_input=1199, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2621","layer":3},{"info":"compute unary expreesion, input=-2621, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=2447","layer":2},{"info":"number node, value=1425","layer":4},{"info":"number node, value=2836","layer":4},{"info":"compute binary expreesion, left_input=1425, right_input=2836, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-2720","layer":3},{"info":"number node, value=1156","layer":4},{"info":"number node, value=2614","layer":4},{"info":"compute binary expreesion, left_input=1156, right_input=2614, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3770","layer":3},{"info":"compute binary expreesion, left_input=-2720, right_input=-3770, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1050","layer":2},{"info":"compute binary expreesion, left_input=2447, right_input=-1050, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=6576","layer":4},{"info":"number node, value=1295","layer":4},{"info":"compute binary expreesion, left_input=6576, right_input=1295, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=13152","layer":3},{"info":"compute unary expreesion, input=13152, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=14020","layer":2},{"info":"number node, value=1403","layer":4},{"info":"number node, value=1145","layer":4},{"info":"compute binary expreesion, left_input=1403, right_input=1145, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1148","layer":3},{"info":"number node, value=2867","layer":4},{"info":"number node, value=3110","layer":4},{"info":"compute binary expreesion, left_input=2867, right_input=3110, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=742080","layer":3},{"info":"compute binary expreesion, left_input=-1148, right_input=742080, op_id = W4YGzv6Whe binary_op_definition= 'None', output=740932","layer":2},{"info":"compute binary expreesion, left_input=14020, right_input=740932, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-754952","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-754952, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⨞⊢(⊺⇮3820⨳⩥⨓⊺⇮1199))+⇶⊼((⊺⇮1425⪨≂⊺⇮2836)⨳⩥⨓(⊺⇮1156⪒⊺⇮2614))∲⫓(∥⊫(⊺⇮6576⊉≛↸⊺⇮1295))⪒(⊺⇮1403⨓⊺⇮1145+⊺⇮2867≎⊠⪸⊺⇮3110)=NaN","reverse_text":"NaN=(⨞⊢(⊺⇮3820⨳⩥⨓⊺⇮1199))+⇶⊼((⊺⇮1425⪨≂⊺⇮2836)⨳⩥⨓(⊺⇮1156⪒⊺⇮2614))∲⫓(∥⊫(⊺⇮6576⊉≛↸⊺⇮1295))⪒(⊺⇮1403⨓⊺⇮1145+⊺⇮2867≎⊠⪸⊺⇮3110)","cot":[{"info":"⊺⇮3820⨳⩥⨓⊺⇮1199=⊺⇮-2621","layer":3},{"info":"⨞⊢⊺⇮-2621=⊺⇮2447","layer":2},{"info":"⊺⇮1425⪨≂⊺⇮2836=⊺⇮-2720","layer":3},{"info":"⊺⇮1156⪒⊺⇮2614=⊺⇮-3770","layer":3},{"info":"⊺⇮-2720⨳⩥⨓⊺⇮-3770=⊺⇮-1050","layer":2},{"info":"⊺⇮2447+⇶⊼⊺⇮-1050=NaN","layer":1},{"info":"⊺⇮6576⊉≛↸⊺⇮1295=⊺⇮13152","layer":3},{"info":"∥⊫⊺⇮13152=⊺⇮14020","layer":2},{"info":"⊺⇮1403⨓⊺⇮1145=⊺⇮-1148","layer":3},{"info":"⊺⇮2867≎⊠⪸⊺⇮3110=⊺⇮742080","layer":3},{"info":"⊺⇮-1148+⊺⇮742080=⊺⇮740932","layer":2},{"info":"⊺⇮14020⪒⊺⇮740932=⊺⇮-754952","layer":1},{"info":"NaN∲⫓⊺⇮-754952=NaN","layer":0}]}
{"id":735,"expression_no_base_symbol":"(($1125$⨽$7736$)⨟⋌⩍(⊥$7103$)⊉≛↸($2188$≭$2820$⪨≂$1170$≎⊠⪸$5815$))⪮%⊝(↣≠⋷(($1121$⩠)∸))","expression":"((⊺⇮1125⨽⊺⇮7736)⨟⋌⩍(⊥⊺⇮7103)⊉≛↸(⊺⇮2188≭⊺⇮2820⪨≂⊺⇮1170≎⊠⪸⊺⇮5815))⪮%⊝(↣≠⋷((⊺⇮1121⩠)∸))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":32949,"operation_count":11,"complexity_ratio":2995.3636363636365,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1125,"base":10},"right_expr":{"type":"numeric_atoms","value":7736,"base":10}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":7103,"base":10}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2188,"base":10},"right_expr":{"type":"numeric_atoms","value":2820,"base":10}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1170,"base":10},"right_expr":{"type":"numeric_atoms","value":5815,"base":10}}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1121,"base":10}}}}},"used_operators":["IWmyXbctLI","DZ8iAZOCBD","rGHVDoGpnC","8HhzD0ZcuI","Q3PJZHRvZv","sdazOOVcIp","rxpJgHHUmx","bJkvcejdHO","Asc51vEJeQ","o20kRiQErp","sJAwomhLZr"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","fu6greOZ01","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","XhwjNDsVaA","AHs5Up7iyr","tmPS8pqC7x","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1125","layer":4},{"info":"number node, value=7736","layer":4},{"info":"compute binary expreesion, left_input=1125, right_input=7736, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3818769","layer":3},{"info":"number node, value=7103","layer":4},{"info":"compute unary expreesion, input=7103, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3818769, 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=2188","layer":4},{"info":"number node, value=2820","layer":4},{"info":"compute binary expreesion, left_input=2188, right_input=2820, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=1170","layer":4},{"info":"number node, value=5815","layer":4},{"info":"compute binary expreesion, left_input=1170, right_input=5815, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=302557","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=302557, op_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 = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":1},{"info":"number node, value=1121","layer":4},{"info":"compute unary expreesion, input=1121, 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 = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"compute unary expreesion, input=177, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1125⨽⊺⇮7736)⨟⋌⩍(⊥⊺⇮7103)⊉≛↸(⊺⇮2188≭⊺⇮2820⪨≂⊺⇮1170≎⊠⪸⊺⇮5815))⪮%⊝(↣≠⋷((⊺⇮1121⩠)∸))=NaN","reverse_text":"NaN=((⊺⇮1125⨽⊺⇮7736)⨟⋌⩍(⊥⊺⇮7103)⊉≛↸(⊺⇮2188≭⊺⇮2820⪨≂⊺⇮1170≎⊠⪸⊺⇮5815))⪮%⊝(↣≠⋷((⊺⇮1121⩠)∸))","cot":[{"info":"⊺⇮1125⨽⊺⇮7736=⊺⇮-3818769","layer":3},{"info":"⊥⊺⇮7103=NaN","layer":3},{"info":"⊺⇮-3818769⨟⋌⩍NaN=NaN","layer":2},{"info":"⊺⇮2188≭⊺⇮2820=NaN","layer":3},{"info":"⊺⇮1170≎⊠⪸⊺⇮5815=⊺⇮302557","layer":3},{"info":"NaN⪨≂⊺⇮302557=NaN","layer":2},{"info":"NaN⊉≛↸NaN=NaN","layer":1},{"info":"⊺⇮1121⩠=⊺⇮0","layer":3},{"info":"⊺⇮0∸=⊺⇮177","layer":2},{"info":"↣≠⋷⊺⇮177=NaN","layer":1},{"info":"NaN⪮%⊝NaN=NaN","layer":0}]}
{"id":736,"expression_no_base_symbol":"($1624$∑⇟⊟$4936$)⪘⫢($3782$≭$2636$)⨓($8800$⋝⋈⪟$2964$↙$1423$≧⫂∧$9132$)⨵⪆(($1686$⫥∨⫟$3827$)↬($1371$≎⊠⪸$8172$)/(⋗⩬⋾($6498$⫡⨏$5716$)))","expression":"(⊺⇮1624∑⇟⊟⊺⇮4936)⪘⫢(⊺⇮3782≭⊺⇮2636)⨓(⊺⇮8800⋝⋈⪟⊺⇮2964↙⊺⇮1423≧⫂∧⊺⇮9132)⨵⪆((⊺⇮1686⫥∨⫟⊺⇮3827)↬(⊺⇮1371≎⊠⪸⊺⇮8172)/(⋗⩬⋾(⊺⇮6498⫡⨏⊺⇮5716)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":35097,"operation_count":14,"complexity_ratio":2506.9285714285716,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1624,"base":10},"right_expr":{"type":"numeric_atoms","value":4936,"base":10}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3782,"base":10},"right_expr":{"type":"numeric_atoms","value":2636,"base":10}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":8800,"base":10},"right_expr":{"type":"numeric_atoms","value":2964,"base":10}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1423,"base":10},"right_expr":{"type":"numeric_atoms","value":9132,"base":10}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1686,"base":10},"right_expr":{"type":"numeric_atoms","value":3827,"base":10}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1371,"base":10},"right_expr":{"type":"numeric_atoms","value":8172,"base":10}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":6498,"base":10},"right_expr":{"type":"numeric_atoms","value":5716,"base":10}}}}},"used_operators":["2DQ55sFlQl","3ViojmjbAp","oacrs7FA3X","U7g4x0WXJJ","rxpJgHHUmx","yyfyN0ffXY","2DDjHMKMc0","Ph9nP6C5qx","XhwjNDsVaA","B5M0gjZbta","KYD54nUTWz","bJkvcejdHO","DpFCA1CohY","QMFrweE19q"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","AHs5Up7iyr","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rGHVDoGpnC","8HhzD0ZcuI","rGHVDoGpnC","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮160","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1624","layer":4},{"info":"number node, value=4936","layer":4},{"info":"compute binary expreesion, left_input=1624, right_input=4936, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=3782","layer":4},{"info":"number node, value=2636","layer":4},{"info":"compute binary expreesion, left_input=3782, right_input=2636, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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 = 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=8800","layer":4},{"info":"number node, value=2964","layer":4},{"info":"compute binary expreesion, left_input=8800, right_input=2964, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=8800","layer":3},{"info":"number node, value=1423","layer":4},{"info":"number node, value=9132","layer":4},{"info":"compute binary expreesion, left_input=1423, right_input=9132, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=8659","layer":3},{"info":"compute binary expreesion, left_input=8800, right_input=8659, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-25977","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-25977, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-25980","layer":1},{"info":"number node, value=1686","layer":4},{"info":"number node, value=3827","layer":4},{"info":"compute binary expreesion, left_input=1686, right_input=3827, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1371","layer":4},{"info":"number node, value=8172","layer":4},{"info":"compute binary expreesion, left_input=1371, right_input=8172, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=354616","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=354616, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=6498","layer":4},{"info":"number node, value=5716","layer":4},{"info":"compute binary expreesion, left_input=6498, right_input=5716, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=44705","layer":3},{"info":"compute unary expreesion, input=44705, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-134115","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-134115, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-25980, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1624∑⇟⊟⊺⇮4936)⪘⫢(⊺⇮3782≭⊺⇮2636)⨓(⊺⇮8800⋝⋈⪟⊺⇮2964↙⊺⇮1423≧⫂∧⊺⇮9132)⨵⪆((⊺⇮1686⫥∨⫟⊺⇮3827)↬(⊺⇮1371≎⊠⪸⊺⇮8172)/(⋗⩬⋾(⊺⇮6498⫡⨏⊺⇮5716)))=⊺⇮160","reverse_text":"⊺⇮160=(⊺⇮1624∑⇟⊟⊺⇮4936)⪘⫢(⊺⇮3782≭⊺⇮2636)⨓(⊺⇮8800⋝⋈⪟⊺⇮2964↙⊺⇮1423≧⫂∧⊺⇮9132)⨵⪆((⊺⇮1686⫥∨⫟⊺⇮3827)↬(⊺⇮1371≎⊠⪸⊺⇮8172)/(⋗⩬⋾(⊺⇮6498⫡⨏⊺⇮5716)))","cot":[{"info":"⊺⇮1624∑⇟⊟⊺⇮4936=NaN","layer":3},{"info":"⊺⇮3782≭⊺⇮2636=NaN","layer":3},{"info":"NaN⪘⫢NaN=NaN","layer":2},{"info":"⊺⇮8800⋝⋈⪟⊺⇮2964=⊺⇮8800","layer":3},{"info":"⊺⇮1423≧⫂∧⊺⇮9132=⊺⇮8659","layer":3},{"info":"⊺⇮8800↙⊺⇮8659=⊺⇮-25977","layer":2},{"info":"NaN⨓⊺⇮-25977=⊺⇮-25980","layer":1},{"info":"⊺⇮1686⫥∨⫟⊺⇮3827=NaN","layer":3},{"info":"⊺⇮1371≎⊠⪸⊺⇮8172=⊺⇮354616","layer":3},{"info":"NaN↬⊺⇮354616=NaN","layer":2},{"info":"⊺⇮6498⫡⨏⊺⇮5716=⊺⇮44705","layer":3},{"info":"⋗⩬⋾⊺⇮44705=⊺⇮-134115","layer":2},{"info":"NaN/⊺⇮-134115=NaN","layer":1},{"info":"⊺⇮-25980⨵⪆NaN=⊺⇮160","layer":0}]}
{"id":737,"expression_no_base_symbol":"((⪝⪂⫅($2499$⪒$2214$))⩨(($2437$⫡⨏$5108$)*(↽≂$2308$)))⋥≓≎($3023$↺$1487$⫡⨏($1587$⪠⩆⊳))⨐⩸⫘($1297$*$1009$)≹⇙⪍(⪝⪂⫅$2101$)","expression":"((⪝⪂⫅(⊺⇮2499⪒⊺⇮2214))⩨((⊺⇮2437⫡⨏⊺⇮5108)*(↽≂⊺⇮2308)))⋥≓≎(⊺⇮3023↺⊺⇮1487⫡⨏(⊺⇮1587⪠⩆⊳))⨐⩸⫘(⊺⇮1297*⊺⇮1009)≹⇙⪍(⪝⪂⫅⊺⇮2101)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6116,"operation_count":14,"complexity_ratio":436.85714285714283,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2499,"base":10},"right_expr":{"type":"numeric_atoms","value":2214,"base":10}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2437,"base":10},"right_expr":{"type":"numeric_atoms","value":5108,"base":10}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2308,"base":10}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3023,"base":10},"right_expr":{"type":"numeric_atoms","value":1487,"base":10}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1587,"base":10}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1297,"base":10},"right_expr":{"type":"numeric_atoms","value":1009,"base":10}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":2101,"base":10}}}}},"used_operators":["Qy55tPpLXF","2DlMacCsIx","XTarYq4gQB","f6k1SAg4EE","9HNa5Wba9A","QMFrweE19q","u6S6b8DprG","fu6greOZ01","7j4O788W3g","JLbD19bQDL","AHs5Up7iyr"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2499","layer":4},{"info":"number node, value=2214","layer":4},{"info":"compute binary expreesion, left_input=2499, right_input=2214, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4713","layer":3},{"info":"compute unary expreesion, input=-4713, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=692811","layer":2},{"info":"number node, value=2437","layer":4},{"info":"number node, value=5108","layer":4},{"info":"compute binary expreesion, left_input=2437, right_input=5108, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=23184","layer":3},{"info":"number node, value=2308","layer":4},{"info":"compute unary expreesion, input=2308, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-4616","layer":3},{"info":"compute binary expreesion, left_input=23184, right_input=-4616, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-107017344","layer":2},{"info":"compute binary expreesion, left_input=692811, right_input=-107017344, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=465","layer":1},{"info":"number node, value=3023","layer":4},{"info":"number node, value=1487","layer":4},{"info":"compute binary expreesion, left_input=3023, right_input=1487, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1487","layer":3},{"info":"number node, value=1587","layer":4},{"info":"compute unary expreesion, input=1587, 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=1487, 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=8218","layer":2},{"info":"number node, value=1297","layer":4},{"info":"number node, value=1009","layer":4},{"info":"compute binary expreesion, left_input=1297, right_input=1009, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=1308673","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=1308673, right_input=-308847, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=8218, 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=465, 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":10,"result_base":10,"text":"((⪝⪂⫅(⊺⇮2499⪒⊺⇮2214))⩨((⊺⇮2437⫡⨏⊺⇮5108)*(↽≂⊺⇮2308)))⋥≓≎(⊺⇮3023↺⊺⇮1487⫡⨏(⊺⇮1587⪠⩆⊳))⨐⩸⫘(⊺⇮1297*⊺⇮1009)≹⇙⪍(⪝⪂⫅⊺⇮2101)=NaN","reverse_text":"NaN=((⪝⪂⫅(⊺⇮2499⪒⊺⇮2214))⩨((⊺⇮2437⫡⨏⊺⇮5108)*(↽≂⊺⇮2308)))⋥≓≎(⊺⇮3023↺⊺⇮1487⫡⨏(⊺⇮1587⪠⩆⊳))⨐⩸⫘(⊺⇮1297*⊺⇮1009)≹⇙⪍(⪝⪂⫅⊺⇮2101)","cot":[{"info":"⊺⇮2499⪒⊺⇮2214=⊺⇮-4713","layer":3},{"info":"⪝⪂⫅⊺⇮-4713=⊺⇮692811","layer":2},{"info":"⊺⇮2437⫡⨏⊺⇮5108=⊺⇮23184","layer":3},{"info":"↽≂⊺⇮2308=⊺⇮-4616","layer":3},{"info":"⊺⇮23184*⊺⇮-4616=⊺⇮-107017344","layer":2},{"info":"⊺⇮692811⩨⊺⇮-107017344=⊺⇮465","layer":1},{"info":"⊺⇮3023↺⊺⇮1487=⊺⇮1487","layer":3},{"info":"⊺⇮1587⪠⩆⊳=⊺⇮0","layer":3},{"info":"⊺⇮1487⫡⨏⊺⇮0=⊺⇮8218","layer":2},{"info":"⊺⇮1297*⊺⇮1009=⊺⇮1308673","layer":3},{"info":"⪝⪂⫅⊺⇮2101=⊺⇮-308847","layer":3},{"info":"⊺⇮1308673≹⇙⪍⊺⇮-308847=NaN","layer":2},{"info":"⊺⇮8218⨐⩸⫘NaN=NaN","layer":1},{"info":"⊺⇮465⋥≓≎NaN=NaN","layer":0}]}
{"id":738,"expression_no_base_symbol":"(($7757$⫌⩹⨱)⪛($3170$⇷$1647$)⩚⊴⇥($5145$⪘⫢$3508$)⊴($1520$⊦⊿))∑⇟⊟((⨈⫕$4656$≭$2769$)%(≤/$3996$)⫸⊐$5184$↙$2167$)","expression":"((⊺⇮7757⫌⩹⨱)⪛(⊺⇮3170⇷⊺⇮1647)⩚⊴⇥(⊺⇮5145⪘⫢⊺⇮3508)⊴(⊺⇮1520⊦⊿))∑⇟⊟((⨈⫕⊺⇮4656≭⊺⇮2769)%(≤/⊺⇮3996)⫸⊐⊺⇮5184↙⊺⇮2167)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":949627,"operation_count":14,"complexity_ratio":67830.5,"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":7757,"base":10}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3170,"base":10},"right_expr":{"type":"numeric_atoms","value":1647,"base":10}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":5145,"base":10},"right_expr":{"type":"numeric_atoms","value":3508,"base":10}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1520,"base":10}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4656,"base":10},"right_expr":{"type":"numeric_atoms","value":2769,"base":10}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":3996,"base":10}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":5184,"base":10},"right_expr":{"type":"numeric_atoms","value":2167,"base":10}}}}},"used_operators":["U7g4x0WXJJ","NTOWxs364D","uFcxV4UQCh","EBcxylXtPf","mp7IySMOzn","Nsiff2A1zJ","oacrs7FA3X","14qkJME0vr","k8jYdgA6NY","megm06wKyl","rxpJgHHUmx","mqXw5SEYmG","eLAdDNolq6","yyfyN0ffXY"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","AHs5Up7iyr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7757","layer":4},{"info":"compute unary expreesion, input=7757, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=16915","layer":3},{"info":"number node, value=3170","layer":4},{"info":"number node, value=1647","layer":4},{"info":"compute binary expreesion, left_input=3170, right_input=1647, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3294","layer":3},{"info":"compute binary expreesion, left_input=16915, right_input=3294, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=445","layer":2},{"info":"number node, value=5145","layer":4},{"info":"number node, value=3508","layer":4},{"info":"compute binary expreesion, left_input=5145, right_input=3508, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=10166","layer":3},{"info":"number node, value=1520","layer":4},{"info":"compute unary expreesion, input=1520, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-4639","layer":3},{"info":"compute binary expreesion, left_input=10166, right_input=-4639, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=445, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"number node, value=4656","layer":4},{"info":"number node, value=2769","layer":4},{"info":"compute binary expreesion, left_input=4656, 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":"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=3996","layer":4},{"info":"compute unary expreesion, input=3996, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-3512","layer":3},{"info":"number node, value=5184","layer":4},{"info":"number node, value=2167","layer":4},{"info":"compute binary expreesion, left_input=5184, right_input=2167, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-6501","layer":3},{"info":"compute binary expreesion, left_input=-3512, right_input=-6501, 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=-21, right_input=968, op_id = k8jYdgA6NY binary_op_definition= 'None', output=947","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=947, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮7757⫌⩹⨱)⪛(⊺⇮3170⇷⊺⇮1647)⩚⊴⇥(⊺⇮5145⪘⫢⊺⇮3508)⊴(⊺⇮1520⊦⊿))∑⇟⊟((⨈⫕⊺⇮4656≭⊺⇮2769)%(≤/⊺⇮3996)⫸⊐⊺⇮5184↙⊺⇮2167)=NaN","reverse_text":"NaN=((⊺⇮7757⫌⩹⨱)⪛(⊺⇮3170⇷⊺⇮1647)⩚⊴⇥(⊺⇮5145⪘⫢⊺⇮3508)⊴(⊺⇮1520⊦⊿))∑⇟⊟((⨈⫕⊺⇮4656≭⊺⇮2769)%(≤/⊺⇮3996)⫸⊐⊺⇮5184↙⊺⇮2167)","cot":[{"info":"⊺⇮7757⫌⩹⨱=⊺⇮16915","layer":3},{"info":"⊺⇮3170⇷⊺⇮1647=⊺⇮3294","layer":3},{"info":"⊺⇮16915⪛⊺⇮3294=⊺⇮445","layer":2},{"info":"⊺⇮5145⪘⫢⊺⇮3508=⊺⇮10166","layer":3},{"info":"⊺⇮1520⊦⊿=⊺⇮-4639","layer":3},{"info":"⊺⇮10166⊴⊺⇮-4639=NaN","layer":2},{"info":"⊺⇮445⩚⊴⇥NaN=NaN","layer":1},{"info":"⊺⇮4656≭⊺⇮2769=NaN","layer":3},{"info":"⨈⫕NaN=⊺⇮-21","layer":2},{"info":"≤/⊺⇮3996=⊺⇮-3512","layer":3},{"info":"⊺⇮5184↙⊺⇮2167=⊺⇮-6501","layer":3},{"info":"⊺⇮-3512⫸⊐⊺⇮-6501=⊺⇮968","layer":2},{"info":"⊺⇮-21%⊺⇮968=⊺⇮947","layer":1},{"info":"NaN∑⇟⊟⊺⇮947=NaN","layer":0}]}
{"id":739,"expression_no_base_symbol":"(($1077$⨳⩥⨓$5064$)⋓($1757$⨎$1308$)⩨(⊙↵-($1604$↙$2417$)))⫸⊐(∥⊫(↩$3397$)+⇶⊼$1243$≹⇙⪍$5786$)","expression":"((⊺⇮1077⨳⩥⨓⊺⇮5064)⋓(⊺⇮1757⨎⊺⇮1308)⩨(⊙↵-(⊺⇮1604↙⊺⇮2417)))⫸⊐(∥⊫(↩⊺⇮3397)+⇶⊼⊺⇮1243≹⇙⪍⊺⇮5786)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":9749,"operation_count":11,"complexity_ratio":886.2727272727273,"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":1077,"base":10},"right_expr":{"type":"numeric_atoms","value":5064,"base":10}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1757,"base":10},"right_expr":{"type":"numeric_atoms","value":1308,"base":10}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1604,"base":10},"right_expr":{"type":"numeric_atoms","value":2417,"base":10}}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":3397,"base":10}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1243,"base":10},"right_expr":{"type":"numeric_atoms","value":5786,"base":10}}}}},"used_operators":["mqXw5SEYmG","2DlMacCsIx","T2fj7uvVaJ","nCS4ZIUYfx","rJVOvQCfKK","oWn0xqSxBt","yyfyN0ffXY","P8v4zCKN1o","TpPTUOHfaN","jLgFTUHLKL","AHs5Up7iyr"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1077","layer":4},{"info":"number node, value=5064","layer":4},{"info":"compute binary expreesion, left_input=1077, right_input=5064, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=3987","layer":3},{"info":"number node, value=1757","layer":4},{"info":"number node, value=1308","layer":4},{"info":"compute binary expreesion, left_input=1757, right_input=1308, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1308","layer":3},{"info":"compute binary expreesion, left_input=3987, right_input=1308, op_id = T2fj7uvVaJ binary_op_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=1604","layer":4},{"info":"number node, value=2417","layer":4},{"info":"compute binary expreesion, left_input=1604, right_input=2417, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-7251","layer":3},{"info":"compute unary expreesion, input=-7251, 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":"number node, value=3397","layer":4},{"info":"compute unary expreesion, input=3397, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-24396","layer":3},{"info":"number node, value=1243","layer":4},{"info":"number node, value=5786","layer":4},{"info":"compute binary expreesion, left_input=1243, right_input=5786, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=-24396, 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 = 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 = 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":10,"result_base":10,"text":"((⊺⇮1077⨳⩥⨓⊺⇮5064)⋓(⊺⇮1757⨎⊺⇮1308)⩨(⊙↵-(⊺⇮1604↙⊺⇮2417)))⫸⊐(∥⊫(↩⊺⇮3397)+⇶⊼⊺⇮1243≹⇙⪍⊺⇮5786)=NaN","reverse_text":"NaN=((⊺⇮1077⨳⩥⨓⊺⇮5064)⋓(⊺⇮1757⨎⊺⇮1308)⩨(⊙↵-(⊺⇮1604↙⊺⇮2417)))⫸⊐(∥⊫(↩⊺⇮3397)+⇶⊼⊺⇮1243≹⇙⪍⊺⇮5786)","cot":[{"info":"⊺⇮1077⨳⩥⨓⊺⇮5064=⊺⇮3987","layer":3},{"info":"⊺⇮1757⨎⊺⇮1308=⊺⇮1308","layer":3},{"info":"⊺⇮3987⋓⊺⇮1308=⊺⇮0","layer":2},{"info":"⊺⇮1604↙⊺⇮2417=⊺⇮-7251","layer":3},{"info":"⊙↵-⊺⇮-7251=⊺⇮196","layer":2},{"info":"⊺⇮0⩨⊺⇮196=NaN","layer":1},{"info":"↩⊺⇮3397=⊺⇮-24396","layer":3},{"info":"⊺⇮1243≹⇙⪍⊺⇮5786=NaN","layer":3},{"info":"⊺⇮-24396+⇶⊼NaN=NaN","layer":2},{"info":"∥⊫NaN=NaN","layer":1},{"info":"NaN⫸⊐NaN=NaN","layer":0}]}
{"id":740,"expression_no_base_symbol":"(∥⊫$3028$)≹⇙⪍(⇁⨣⪵$1124$)⊴(↽≂(⨵≀≌$1222$))⪒((⪲⇎$4228$)⫥∨⫟($6348$⫸⊐$1596$)/(⪝⪂⫅($4460$⨸⪁$1252$)))","expression":"(∥⊫⊺⇮3028)≹⇙⪍(⇁⨣⪵⊺⇮1124)⊴(↽≂(⨵≀≌⊺⇮1222))⪒((⪲⇎⊺⇮4228)⫥∨⫟(⊺⇮6348⫸⊐⊺⇮1596)/(⪝⪂⫅(⊺⇮4460⨸⪁⊺⇮1252)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7687,"operation_count":13,"complexity_ratio":591.3076923076923,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":3028,"base":10}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1124,"base":10}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1222,"base":10}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":4228,"base":10}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":6348,"base":10},"right_expr":{"type":"numeric_atoms","value":1596,"base":10}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4460,"base":10},"right_expr":{"type":"numeric_atoms","value":1252,"base":10}}}}},"used_operators":["f6k1SAg4EE","Nsiff2A1zJ","AHs5Up7iyr","P8v4zCKN1o","inkyxCbjAn","u6S6b8DprG","srAu1WTS94","XhwjNDsVaA","KYD54nUTWz","XPYlsWDdGa","mqXw5SEYmG","XTarYq4gQB","g55IO6H4Gj"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3028","layer":4},{"info":"compute unary expreesion, input=3028, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3896","layer":3},{"info":"number node, value=1124","layer":4},{"info":"compute unary expreesion, input=1124, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3896, 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=1222","layer":4},{"info":"compute unary expreesion, input=1222, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3666","layer":3},{"info":"compute unary expreesion, input=-3666, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=7332","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=7332, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=4228","layer":4},{"info":"compute unary expreesion, input=4228, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=8456","layer":3},{"info":"number node, value=6348","layer":4},{"info":"number node, value=1596","layer":4},{"info":"compute binary expreesion, left_input=6348, right_input=1596, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6259","layer":3},{"info":"compute binary expreesion, left_input=8456, right_input=6259, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=4460","layer":4},{"info":"number node, value=1252","layer":4},{"info":"compute binary expreesion, left_input=4460, right_input=1252, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=11424","layer":3},{"info":"compute unary expreesion, input=11424, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-1679328","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1679328, op_id = XhwjNDsVaA 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":10,"result_base":10,"text":"(∥⊫⊺⇮3028)≹⇙⪍(⇁⨣⪵⊺⇮1124)⊴(↽≂(⨵≀≌⊺⇮1222))⪒((⪲⇎⊺⇮4228)⫥∨⫟(⊺⇮6348⫸⊐⊺⇮1596)/(⪝⪂⫅(⊺⇮4460⨸⪁⊺⇮1252)))=NaN","reverse_text":"NaN=(∥⊫⊺⇮3028)≹⇙⪍(⇁⨣⪵⊺⇮1124)⊴(↽≂(⨵≀≌⊺⇮1222))⪒((⪲⇎⊺⇮4228)⫥∨⫟(⊺⇮6348⫸⊐⊺⇮1596)/(⪝⪂⫅(⊺⇮4460⨸⪁⊺⇮1252)))","cot":[{"info":"∥⊫⊺⇮3028=⊺⇮3896","layer":3},{"info":"⇁⨣⪵⊺⇮1124=NaN","layer":3},{"info":"⊺⇮3896≹⇙⪍NaN=NaN","layer":2},{"info":"⨵≀≌⊺⇮1222=⊺⇮-3666","layer":3},{"info":"↽≂⊺⇮-3666=⊺⇮7332","layer":2},{"info":"NaN⊴⊺⇮7332=NaN","layer":1},{"info":"⪲⇎⊺⇮4228=⊺⇮8456","layer":3},{"info":"⊺⇮6348⫸⊐⊺⇮1596=⊺⇮6259","layer":3},{"info":"⊺⇮8456⫥∨⫟⊺⇮6259=NaN","layer":2},{"info":"⊺⇮4460⨸⪁⊺⇮1252=⊺⇮11424","layer":3},{"info":"⪝⪂⫅⊺⇮11424=⊺⇮-1679328","layer":2},{"info":"NaN/⊺⇮-1679328=NaN","layer":1},{"info":"NaN⪒NaN=NaN","layer":0}]}
{"id":741,"expression_no_base_symbol":"(($1890$⇷$1004$⨎(⨈⫕$5511$))⊪)⨸⪁($4388$↺$3281$⪒$5956$⇼⇔∾$1477$)⨐⩸⫘((∂$1987$)↪⪝)","expression":"((⊺⇮1890⇷⊺⇮1004⨎(⨈⫕⊺⇮5511))⊪)⨸⪁(⊺⇮4388↺⊺⇮3281⪒⊺⇮5956⇼⇔∾⊺⇮1477)⨐⩸⫘((∂⊺⇮1987)↪⪝)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":26904,"operation_count":11,"complexity_ratio":2445.818181818182,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1890,"base":10},"right_expr":{"type":"numeric_atoms","value":1004,"base":10}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":5511,"base":10}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":4388,"base":10},"right_expr":{"type":"numeric_atoms","value":3281,"base":10}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":5956,"base":10},"right_expr":{"type":"numeric_atoms","value":1477,"base":10}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1987,"base":10}}}}},"used_operators":["g55IO6H4Gj","zVYPLywUTj","rJVOvQCfKK","mp7IySMOzn","megm06wKyl","fu6greOZ01","f6k1SAg4EE","7j4O788W3g","tifHPKVTfV","l07mrZUIn9","Uaa54Peajs"],"dependent_operators":["W4YGzv6Whe","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1890","layer":4},{"info":"number node, value=1004","layer":4},{"info":"compute binary expreesion, left_input=1890, right_input=1004, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2008","layer":3},{"info":"number node, value=5511","layer":4},{"info":"compute unary expreesion, input=5511, 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=2008, right_input=-21, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , 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":"number node, value=4388","layer":4},{"info":"number node, value=3281","layer":4},{"info":"compute binary expreesion, left_input=4388, right_input=3281, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3281","layer":3},{"info":"number node, value=5956","layer":4},{"info":"number node, value=1477","layer":4},{"info":"compute binary expreesion, left_input=5956, right_input=1477, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-4479","layer":3},{"info":"compute binary expreesion, left_input=3281, right_input=-4479, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=1198","layer":2},{"info":"number node, value=1987","layer":4},{"info":"compute unary expreesion, input=1987, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute 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=1198, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1890⇷⊺⇮1004⨎(⨈⫕⊺⇮5511))⊪)⨸⪁(⊺⇮4388↺⊺⇮3281⪒⊺⇮5956⇼⇔∾⊺⇮1477)⨐⩸⫘((∂⊺⇮1987)↪⪝)=NaN","reverse_text":"NaN=((⊺⇮1890⇷⊺⇮1004⨎(⨈⫕⊺⇮5511))⊪)⨸⪁(⊺⇮4388↺⊺⇮3281⪒⊺⇮5956⇼⇔∾⊺⇮1477)⨐⩸⫘((∂⊺⇮1987)↪⪝)","cot":[{"info":"⊺⇮1890⇷⊺⇮1004=⊺⇮2008","layer":3},{"info":"⨈⫕⊺⇮5511=⊺⇮-21","layer":3},{"info":"⊺⇮2008⨎⊺⇮-21=⊺⇮-21","layer":2},{"info":"⊺⇮-21⊪=⊺⇮0","layer":1},{"info":"⊺⇮4388↺⊺⇮3281=⊺⇮3281","layer":3},{"info":"⊺⇮5956⇼⇔∾⊺⇮1477=⊺⇮-4479","layer":3},{"info":"⊺⇮3281⪒⊺⇮-4479=⊺⇮1198","layer":2},{"info":"∂⊺⇮1987=NaN","layer":3},{"info":"NaN↪⪝=NaN","layer":2},{"info":"⊺⇮1198⨐⩸⫘NaN=NaN","layer":1},{"info":"⊺⇮0⨸⪁NaN=NaN","layer":0}]}
{"id":742,"expression_no_base_symbol":"⇁⨣⪵($6444$⋓$2038$⪠⩆⊳)⪄($6026$⫥∨⫟$1571$)⩚⊴⇥$4468$⩷∴$1080$","expression":"⇁⨣⪵(⊺⇮6444⋓⊺⇮2038⪠⩆⊳)⪄(⊺⇮6026⫥∨⫟⊺⇮1571)⩚⊴⇥⊺⇮4468⩷∴⊺⇮1080","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":206,"operation_count":7,"complexity_ratio":29.428571428571427,"tree":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":6444,"base":10},"right_expr":{"type":"numeric_atoms","value":2038,"base":10}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":6026,"base":10},"right_expr":{"type":"numeric_atoms","value":1571,"base":10}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4468,"base":10},"right_expr":{"type":"numeric_atoms","value":1080,"base":10}}}}},"used_operators":["inkyxCbjAn","SUmda5xLS4","JLbD19bQDL","T2fj7uvVaJ","NTOWxs364D","KYD54nUTWz","9FxExcQeMw"],"dependent_operators":["B5M0gjZbta","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=6444","layer":4},{"info":"number node, value=2038","layer":4},{"info":"compute binary expreesion, left_input=6444, right_input=2038, op_id = T2fj7uvVaJ binary_op_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 = 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=6026","layer":4},{"info":"number node, value=1571","layer":4},{"info":"compute binary expreesion, left_input=6026, right_input=1571, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=4468","layer":4},{"info":"number node, value=1080","layer":4},{"info":"compute binary expreesion, left_input=4468, right_input=1080, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=6744","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6744, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⇁⨣⪵(⊺⇮6444⋓⊺⇮2038⪠⩆⊳)⪄(⊺⇮6026⫥∨⫟⊺⇮1571)⩚⊴⇥⊺⇮4468⩷∴⊺⇮1080=NaN","reverse_text":"NaN=⇁⨣⪵(⊺⇮6444⋓⊺⇮2038⪠⩆⊳)⪄(⊺⇮6026⫥∨⫟⊺⇮1571)⩚⊴⇥⊺⇮4468⩷∴⊺⇮1080","cot":[{"info":"⊺⇮6444⋓⊺⇮2038=⊺⇮0","layer":3},{"info":"⊺⇮0⪠⩆⊳=⊺⇮0","layer":2},{"info":"⊺⇮6026⫥∨⫟⊺⇮1571=NaN","layer":3},{"info":"⊺⇮4468⩷∴⊺⇮1080=⊺⇮6744","layer":3},{"info":"NaN⩚⊴⇥⊺⇮6744=NaN","layer":2},{"info":"⊺⇮0⪄NaN=NaN","layer":1},{"info":"⇁⨣⪵NaN=NaN","layer":0}]}
{"id":743,"expression_no_base_symbol":"↔((($1726$⋷$1365$)⫸⊐$2070$⫥∨⫟$2539$)⨳⩥⨓($1114$+$2493$)⫥∨⫟$6376$⩷∴$4595$)","expression":"↔(((⊺⇮1726⋷⊺⇮1365)⫸⊐⊺⇮2070⫥∨⫟⊺⇮2539)⨳⩥⨓(⊺⇮1114+⊺⇮2493)⫥∨⫟⊺⇮6376⩷∴⊺⇮4595)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":365,"operation_count":8,"complexity_ratio":45.625,"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":1726,"base":10},"right_expr":{"type":"numeric_atoms","value":1365,"base":10}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2070,"base":10},"right_expr":{"type":"numeric_atoms","value":2539,"base":10}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1114,"base":10},"right_expr":{"type":"numeric_atoms","value":2493,"base":10}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":6376,"base":10},"right_expr":{"type":"numeric_atoms","value":4595,"base":10}}}}},"used_operators":["ruOEQAzv1W","nCS4ZIUYfx","mqXw5SEYmG","23Mk6UjR3U","KYD54nUTWz","W4YGzv6Whe","9FxExcQeMw"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z"],"result":"⊺⇮-134","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=1726","layer":4},{"info":"number node, value=1365","layer":4},{"info":"compute binary expreesion, left_input=1726, right_input=1365, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1004","layer":3},{"info":"number node, value=2070","layer":4},{"info":"number node, value=2539","layer":4},{"info":"compute binary expreesion, left_input=2070, right_input=2539, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1004, 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=1114","layer":4},{"info":"number node, value=2493","layer":4},{"info":"compute binary expreesion, left_input=1114, right_input=2493, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3607","layer":3},{"info":"number node, value=6376","layer":4},{"info":"number node, value=4595","layer":4},{"info":"compute binary expreesion, left_input=6376, right_input=4595, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=3530","layer":3},{"info":"compute binary expreesion, left_input=3607, right_input=3530, 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 = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+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":10,"result_base":10,"text":"↔(((⊺⇮1726⋷⊺⇮1365)⫸⊐⊺⇮2070⫥∨⫟⊺⇮2539)⨳⩥⨓(⊺⇮1114+⊺⇮2493)⫥∨⫟⊺⇮6376⩷∴⊺⇮4595)=⊺⇮-134","reverse_text":"⊺⇮-134=↔(((⊺⇮1726⋷⊺⇮1365)⫸⊐⊺⇮2070⫥∨⫟⊺⇮2539)⨳⩥⨓(⊺⇮1114+⊺⇮2493)⫥∨⫟⊺⇮6376⩷∴⊺⇮4595)","cot":[{"info":"⊺⇮1726⋷⊺⇮1365=⊺⇮1004","layer":3},{"info":"⊺⇮2070⫥∨⫟⊺⇮2539=NaN","layer":3},{"info":"⊺⇮1004⫸⊐NaN=NaN","layer":2},{"info":"⊺⇮1114+⊺⇮2493=⊺⇮3607","layer":3},{"info":"⊺⇮6376⩷∴⊺⇮4595=⊺⇮3530","layer":3},{"info":"⊺⇮3607⫥∨⫟⊺⇮3530=NaN","layer":2},{"info":"NaN⨳⩥⨓NaN=NaN","layer":1},{"info":"↔NaN=⊺⇮-134","layer":0}]}
{"id":744,"expression_no_base_symbol":"(⋗⩬⋾(↩$1351$))⇷($2548$⨳⩥⨓$2388$%$1260$∼$2563$)-(⋗⩬⋾(⫓⪴($2988$⩨$3705$)))","expression":"(⋗⩬⋾(↩⊺⇮1351))⇷(⊺⇮2548⨳⩥⨓⊺⇮2388%⊺⇮1260∼⊺⇮2563)-(⋗⩬⋾(⫓⪴(⊺⇮2988⩨⊺⇮3705)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":337242,"operation_count":10,"complexity_ratio":33724.2,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1351,"base":10}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2548,"base":10},"right_expr":{"type":"numeric_atoms","value":2388,"base":10}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1260,"base":10},"right_expr":{"type":"numeric_atoms","value":2563,"base":10}}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2988,"base":10},"right_expr":{"type":"numeric_atoms","value":3705,"base":10}}}}},"used_operators":["rysDP5nf3Z","mp7IySMOzn","DpFCA1CohY","jLgFTUHLKL","k8jYdgA6NY","nCS4ZIUYfx","DyGG3AbaNP","eLxqMNBOBk","2DlMacCsIx"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9HNa5Wba9A","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1351","layer":4},{"info":"compute unary expreesion, input=1351, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-8028","layer":3},{"info":"compute unary expreesion, input=-8028, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=24084","layer":2},{"info":"number node, value=2548","layer":4},{"info":"number node, value=2388","layer":4},{"info":"compute binary expreesion, left_input=2548, right_input=2388, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-160","layer":3},{"info":"number node, value=1260","layer":4},{"info":"number node, value=2563","layer":4},{"info":"compute binary expreesion, left_input=1260, right_input=2563, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-160, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=24084, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"number node, value=2988","layer":4},{"info":"number node, value=3705","layer":4},{"info":"compute binary expreesion, left_input=2988, right_input=3705, 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 = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-27","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-27, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⋗⩬⋾(↩⊺⇮1351))⇷(⊺⇮2548⨳⩥⨓⊺⇮2388%⊺⇮1260∼⊺⇮2563)-(⋗⩬⋾(⫓⪴(⊺⇮2988⩨⊺⇮3705)))=NaN","reverse_text":"NaN=(⋗⩬⋾(↩⊺⇮1351))⇷(⊺⇮2548⨳⩥⨓⊺⇮2388%⊺⇮1260∼⊺⇮2563)-(⋗⩬⋾(⫓⪴(⊺⇮2988⩨⊺⇮3705)))","cot":[{"info":"↩⊺⇮1351=⊺⇮-8028","layer":3},{"info":"⋗⩬⋾⊺⇮-8028=⊺⇮24084","layer":2},{"info":"⊺⇮2548⨳⩥⨓⊺⇮2388=⊺⇮-160","layer":3},{"info":"⊺⇮1260∼⊺⇮2563=NaN","layer":3},{"info":"⊺⇮-160%NaN=NaN","layer":2},{"info":"⊺⇮24084⇷NaN=NaN","layer":1},{"info":"⊺⇮2988⩨⊺⇮3705=⊺⇮-3","layer":3},{"info":"⫓⪴⊺⇮-3=⊺⇮9","layer":2},{"info":"⋗⩬⋾⊺⇮9=⊺⇮-27","layer":1},{"info":"NaN-⊺⇮-27=NaN","layer":0}]}
{"id":745,"expression_no_base_symbol":"($4020$⋓$3308$⩚⊴⇥(⪲⇎$5241$)⋷$2792$≎⊠⪸$2938$⨸⪁$5843$⪮%⊝$3015$)⊪","expression":"(⊺⇮4020⋓⊺⇮3308⩚⊴⇥(⪲⇎⊺⇮5241)⋷⊺⇮2792≎⊠⪸⊺⇮2938⨸⪁⊺⇮5843⪮%⊝⊺⇮3015)⊪","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":335,"operation_count":8,"complexity_ratio":41.875,"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":4020,"base":10},"right_expr":{"type":"numeric_atoms","value":3308,"base":10}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":5241,"base":10}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2792,"base":10},"right_expr":{"type":"numeric_atoms","value":2938,"base":10}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":5843,"base":10},"right_expr":{"type":"numeric_atoms","value":3015,"base":10}}}}},"used_operators":["zVYPLywUTj","23Mk6UjR3U","NTOWxs364D","T2fj7uvVaJ","XPYlsWDdGa","g55IO6H4Gj","bJkvcejdHO","IWmyXbctLI"],"dependent_operators":["sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4020","layer":4},{"info":"number node, value=3308","layer":4},{"info":"compute binary expreesion, left_input=4020, right_input=3308, op_id = T2fj7uvVaJ binary_op_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=5241","layer":4},{"info":"compute unary expreesion, input=5241, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=10482","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=10482, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-10603","layer":2},{"info":"number node, value=2792","layer":4},{"info":"number node, value=2938","layer":4},{"info":"compute binary expreesion, left_input=2792, right_input=2938, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=722655","layer":3},{"info":"number node, value=5843","layer":4},{"info":"number node, value=3015","layer":4},{"info":"compute binary expreesion, left_input=5843, right_input=3015, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=12002","layer":3},{"info":"compute binary expreesion, left_input=722655, right_input=12002, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=1469314","layer":2},{"info":"compute binary expreesion, left_input=-10603, right_input=1469314, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=21206","layer":1},{"info":"compute unary expreesion, input=21206, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮4020⋓⊺⇮3308⩚⊴⇥(⪲⇎⊺⇮5241)⋷⊺⇮2792≎⊠⪸⊺⇮2938⨸⪁⊺⇮5843⪮%⊝⊺⇮3015)⊪=⊺⇮0","reverse_text":"⊺⇮0=(⊺⇮4020⋓⊺⇮3308⩚⊴⇥(⪲⇎⊺⇮5241)⋷⊺⇮2792≎⊠⪸⊺⇮2938⨸⪁⊺⇮5843⪮%⊝⊺⇮3015)⊪","cot":[{"info":"⊺⇮4020⋓⊺⇮3308=⊺⇮0","layer":3},{"info":"⪲⇎⊺⇮5241=⊺⇮10482","layer":3},{"info":"⊺⇮0⩚⊴⇥⊺⇮10482=⊺⇮-10603","layer":2},{"info":"⊺⇮2792≎⊠⪸⊺⇮2938=⊺⇮722655","layer":3},{"info":"⊺⇮5843⪮%⊝⊺⇮3015=⊺⇮12002","layer":3},{"info":"⊺⇮722655⨸⪁⊺⇮12002=⊺⇮1469314","layer":2},{"info":"⊺⇮-10603⋷⊺⇮1469314=⊺⇮21206","layer":1},{"info":"⊺⇮21206⊪=⊺⇮0","layer":0}]}
{"id":746,"expression_no_base_symbol":"($2263$/$3670$↪⪝)≧⫂∧(⨑⩽⪐$1313$⫥∨⫟$5714$)⨵⪆($4941$⋷$4995$)⫥∨⫟($1201$⫌⩹⨱)⪄(($3398$⊉≛↸$1668$)⊦⊿)","expression":"(⊺⇮2263/⊺⇮3670↪⪝)≧⫂∧(⨑⩽⪐⊺⇮1313⫥∨⫟⊺⇮5714)⨵⪆(⊺⇮4941⋷⊺⇮4995)⫥∨⫟(⊺⇮1201⫌⩹⨱)⪄((⊺⇮3398⊉≛↸⊺⇮1668)⊦⊿)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":362,"operation_count":12,"complexity_ratio":30.166666666666668,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2263,"base":10},"right_expr":{"type":"numeric_atoms","value":3670,"base":10}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1313,"base":10},"right_expr":{"type":"numeric_atoms","value":5714,"base":10}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":4941,"base":10},"right_expr":{"type":"numeric_atoms","value":4995,"base":10}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1201,"base":10}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3398,"base":10},"right_expr":{"type":"numeric_atoms","value":1668,"base":10}}}}},"used_operators":["2DQ55sFlQl","Ph9nP6C5qx","l07mrZUIn9","XhwjNDsVaA","AF7qkfDlqP","KYD54nUTWz","SUmda5xLS4","23Mk6UjR3U","EBcxylXtPf","14qkJME0vr","DZ8iAZOCBD"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮160","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2263","layer":4},{"info":"number node, value=3670","layer":4},{"info":"compute binary expreesion, left_input=2263, right_input=3670, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=0","layer":2},{"info":"number node, value=1313","layer":4},{"info":"number node, value=5714","layer":4},{"info":"compute binary expreesion, left_input=1313, right_input=5714, 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":"compute binary expreesion, left_input=0, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":1},{"info":"number node, value=4941","layer":4},{"info":"number node, value=4995","layer":4},{"info":"compute binary expreesion, left_input=4941, right_input=4995, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=5049","layer":3},{"info":"number node, value=1201","layer":4},{"info":"compute unary expreesion, input=1201, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=3803","layer":3},{"info":"compute binary expreesion, left_input=5049, right_input=3803, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=3398","layer":4},{"info":"number node, value=1668","layer":4},{"info":"compute binary expreesion, left_input=3398, right_input=1668, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6796","layer":3},{"info":"compute unary expreesion, input=6796, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-20467","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-20467, 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 = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮2263/⊺⇮3670↪⪝)≧⫂∧(⨑⩽⪐⊺⇮1313⫥∨⫟⊺⇮5714)⨵⪆(⊺⇮4941⋷⊺⇮4995)⫥∨⫟(⊺⇮1201⫌⩹⨱)⪄((⊺⇮3398⊉≛↸⊺⇮1668)⊦⊿)=⊺⇮160","reverse_text":"⊺⇮160=(⊺⇮2263/⊺⇮3670↪⪝)≧⫂∧(⨑⩽⪐⊺⇮1313⫥∨⫟⊺⇮5714)⨵⪆(⊺⇮4941⋷⊺⇮4995)⫥∨⫟(⊺⇮1201⫌⩹⨱)⪄((⊺⇮3398⊉≛↸⊺⇮1668)⊦⊿)","cot":[{"info":"⊺⇮2263/⊺⇮3670=⊺⇮0","layer":3},{"info":"⊺⇮0↪⪝=⊺⇮0","layer":2},{"info":"⊺⇮1313⫥∨⫟⊺⇮5714=NaN","layer":3},{"info":"⨑⩽⪐NaN=NaN","layer":2},{"info":"⊺⇮0≧⫂∧NaN=NaN","layer":1},{"info":"⊺⇮4941⋷⊺⇮4995=⊺⇮5049","layer":3},{"info":"⊺⇮1201⫌⩹⨱=⊺⇮3803","layer":3},{"info":"⊺⇮5049⫥∨⫟⊺⇮3803=NaN","layer":2},{"info":"⊺⇮3398⊉≛↸⊺⇮1668=⊺⇮6796","layer":3},{"info":"⊺⇮6796⊦⊿=⊺⇮-20467","layer":2},{"info":"NaN⪄⊺⇮-20467=⊺⇮3979","layer":1},{"info":"NaN⨵⪆⊺⇮3979=⊺⇮160","layer":0}]}
{"id":747,"expression_no_base_symbol":"($3658$/$5218$)≹⇙⪍($1644$⨳⩥⨓$5968$)⨰($2176$⋳⪒$5001$⊉≛↸(⇁⨣⪵$3483$))≎⊠⪸((($1739$⪒$1585$)⩨($1846$⊭↱$5065$))⨽(($3182$⪨≂$1923$)⇼⇔∾$3896$⨪↰⇹$4284$))","expression":"(⊺⇮3658/⊺⇮5218)≹⇙⪍(⊺⇮1644⨳⩥⨓⊺⇮5968)⨰(⊺⇮2176⋳⪒⊺⇮5001⊉≛↸(⇁⨣⪵⊺⇮3483))≎⊠⪸(((⊺⇮1739⪒⊺⇮1585)⩨(⊺⇮1846⊭↱⊺⇮5065))⨽((⊺⇮3182⪨≂⊺⇮1923)⇼⇔∾⊺⇮3896⨪↰⇹⊺⇮4284))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":3965,"operation_count":15,"complexity_ratio":264.3333333333333,"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":3658,"base":10},"right_expr":{"type":"numeric_atoms","value":5218,"base":10}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1644,"base":10},"right_expr":{"type":"numeric_atoms","value":5968,"base":10}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2176,"base":10},"right_expr":{"type":"numeric_atoms","value":5001,"base":10}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":3483,"base":10}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1739,"base":10},"right_expr":{"type":"numeric_atoms","value":1585,"base":10}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1846,"base":10},"right_expr":{"type":"numeric_atoms","value":5065,"base":10}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3182,"base":10},"right_expr":{"type":"numeric_atoms","value":1923,"base":10}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3896,"base":10},"right_expr":{"type":"numeric_atoms","value":4284,"base":10}}}}},"used_operators":["bJkvcejdHO","eewbuw0ToL","AHs5Up7iyr","XhwjNDsVaA","nCS4ZIUYfx","DZ8iAZOCBD","12rbrZMWeM","inkyxCbjAn","8HhzD0ZcuI","2DlMacCsIx","f6k1SAg4EE","COABgblf1C","tifHPKVTfV","sdazOOVcIp","tmPS8pqC7x"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK"],"result":"⊺⇮67","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3658","layer":4},{"info":"number node, value=5218","layer":4},{"info":"compute binary expreesion, left_input=3658, right_input=5218, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=1644","layer":4},{"info":"number node, value=5968","layer":4},{"info":"compute binary expreesion, left_input=1644, right_input=5968, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=4324","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4324, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=2176","layer":4},{"info":"number node, value=5001","layer":4},{"info":"compute binary expreesion, left_input=2176, right_input=5001, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-936","layer":3},{"info":"number node, value=3483","layer":4},{"info":"compute unary expreesion, input=3483, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-936, 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=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=1739","layer":4},{"info":"number node, value=1585","layer":4},{"info":"compute binary expreesion, left_input=1739, right_input=1585, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3324","layer":3},{"info":"number node, value=1846","layer":4},{"info":"number node, value=5065","layer":4},{"info":"compute binary expreesion, left_input=1846, right_input=5065, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=6443","layer":3},{"info":"compute binary expreesion, left_input=-3324, right_input=6443, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=6","layer":2},{"info":"number node, value=3182","layer":4},{"info":"number node, value=1923","layer":4},{"info":"compute binary expreesion, left_input=3182, right_input=1923, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=2620","layer":3},{"info":"number node, value=3896","layer":4},{"info":"number node, value=4284","layer":4},{"info":"compute binary expreesion, left_input=3896, right_input=4284, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3896","layer":3},{"info":"compute binary expreesion, left_input=2620, right_input=3896, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1276","layer":2},{"info":"compute binary expreesion, left_input=6, right_input=1276, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-2622","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2622, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮3658/⊺⇮5218)≹⇙⪍(⊺⇮1644⨳⩥⨓⊺⇮5968)⨰(⊺⇮2176⋳⪒⊺⇮5001⊉≛↸(⇁⨣⪵⊺⇮3483))≎⊠⪸(((⊺⇮1739⪒⊺⇮1585)⩨(⊺⇮1846⊭↱⊺⇮5065))⨽((⊺⇮3182⪨≂⊺⇮1923)⇼⇔∾⊺⇮3896⨪↰⇹⊺⇮4284))=⊺⇮67","reverse_text":"⊺⇮67=(⊺⇮3658/⊺⇮5218)≹⇙⪍(⊺⇮1644⨳⩥⨓⊺⇮5968)⨰(⊺⇮2176⋳⪒⊺⇮5001⊉≛↸(⇁⨣⪵⊺⇮3483))≎⊠⪸(((⊺⇮1739⪒⊺⇮1585)⩨(⊺⇮1846⊭↱⊺⇮5065))⨽((⊺⇮3182⪨≂⊺⇮1923)⇼⇔∾⊺⇮3896⨪↰⇹⊺⇮4284))","cot":[{"info":"⊺⇮3658/⊺⇮5218=⊺⇮0","layer":3},{"info":"⊺⇮1644⨳⩥⨓⊺⇮5968=⊺⇮4324","layer":3},{"info":"⊺⇮0≹⇙⪍⊺⇮4324=NaN","layer":2},{"info":"⊺⇮2176⋳⪒⊺⇮5001=⊺⇮-936","layer":3},{"info":"⇁⨣⪵⊺⇮3483=NaN","layer":3},{"info":"⊺⇮-936⊉≛↸NaN=NaN","layer":2},{"info":"NaN⨰NaN=NaN","layer":1},{"info":"⊺⇮1739⪒⊺⇮1585=⊺⇮-3324","layer":3},{"info":"⊺⇮1846⊭↱⊺⇮5065=⊺⇮6443","layer":3},{"info":"⊺⇮-3324⩨⊺⇮6443=⊺⇮6","layer":2},{"info":"⊺⇮3182⪨≂⊺⇮1923=⊺⇮2620","layer":3},{"info":"⊺⇮3896⨪↰⇹⊺⇮4284=⊺⇮3896","layer":3},{"info":"⊺⇮2620⇼⇔∾⊺⇮3896=⊺⇮1276","layer":2},{"info":"⊺⇮6⨽⊺⇮1276=⊺⇮-2622","layer":1},{"info":"NaN≎⊠⪸⊺⇮-2622=⊺⇮67","layer":0}]}
{"id":748,"expression_no_base_symbol":"(⇁⨣⪵$1066$⨎$4066$↙$2427$⋝⋈⪟$1099$)⫌⩹⨱","expression":"(⇁⨣⪵⊺⇮1066⨎⊺⇮4066↙⊺⇮2427⋝⋈⪟⊺⇮1099)⫌⩹⨱","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":2442,"operation_count":5,"complexity_ratio":488.4,"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":1066,"base":10},"right_expr":{"type":"numeric_atoms","value":4066,"base":10}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2427,"base":10},"right_expr":{"type":"numeric_atoms","value":1099,"base":10}}}}},"used_operators":["EBcxylXtPf","inkyxCbjAn","yyfyN0ffXY","rJVOvQCfKK","2DDjHMKMc0"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","B5M0gjZbta","tmPS8pqC7x","DpFCA1CohY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1066","layer":4},{"info":"number node, value=4066","layer":4},{"info":"compute binary expreesion, left_input=1066, right_input=4066, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4066","layer":3},{"info":"number node, value=2427","layer":4},{"info":"number node, value=1099","layer":4},{"info":"compute binary expreesion, left_input=2427, right_input=1099, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2427","layer":3},{"info":"compute binary expreesion, left_input=4066, right_input=2427, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-7281","layer":2},{"info":"compute unary expreesion, input=-7281, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', 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":10,"result_base":10,"text":"(⇁⨣⪵⊺⇮1066⨎⊺⇮4066↙⊺⇮2427⋝⋈⪟⊺⇮1099)⫌⩹⨱=NaN","reverse_text":"NaN=(⇁⨣⪵⊺⇮1066⨎⊺⇮4066↙⊺⇮2427⋝⋈⪟⊺⇮1099)⫌⩹⨱","cot":[{"info":"⊺⇮1066⨎⊺⇮4066=⊺⇮4066","layer":3},{"info":"⊺⇮2427⋝⋈⪟⊺⇮1099=⊺⇮2427","layer":3},{"info":"⊺⇮4066↙⊺⇮2427=⊺⇮-7281","layer":2},{"info":"⇁⨣⪵⊺⇮-7281=NaN","layer":1},{"info":"NaN⫌⩹⨱=NaN","layer":0}]}
{"id":749,"expression_no_base_symbol":"((($1463$⋫)⇼⇔∾(↩$5149$))⫩⊇)⩚⊴⇥((($1114$⩤)⪄($4337$⨸⪁$6984$))⨐⩸⫘($4060$≧⫂∧$1410$⪨≂$9141$-$1820$))","expression":"(((⊺⇮1463⋫)⇼⇔∾(↩⊺⇮5149))⫩⊇)⩚⊴⇥(((⊺⇮1114⩤)⪄(⊺⇮4337⨸⪁⊺⇮6984))⨐⩸⫘(⊺⇮4060≧⫂∧⊺⇮1410⪨≂⊺⇮9141-⊺⇮1820))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1591,"operation_count":12,"complexity_ratio":132.58333333333334,"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":1463,"base":10}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":5149,"base":10}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1114,"base":10}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4337,"base":10},"right_expr":{"type":"numeric_atoms","value":6984,"base":10}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4060,"base":10},"right_expr":{"type":"numeric_atoms","value":1410,"base":10}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":9141,"base":10},"right_expr":{"type":"numeric_atoms","value":1820,"base":10}}}}},"used_operators":["NTOWxs364D","BjRHVeLaeN","tifHPKVTfV","JL8yIekQnl","jLgFTUHLKL","fu6greOZ01","SUmda5xLS4","Z2TMIBDE3Q","g55IO6H4Gj","sdazOOVcIp","Ph9nP6C5qx","rysDP5nf3Z"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","3ViojmjbAp","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1463","layer":4},{"info":"compute unary expreesion, input=1463, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1463","layer":3},{"info":"number node, value=5149","layer":4},{"info":"compute unary expreesion, input=5149, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-38412","layer":3},{"info":"compute binary expreesion, left_input=1463, right_input=-38412, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-39875","layer":2},{"info":"compute unary expreesion, input=-39875, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=39917","layer":1},{"info":"number node, value=1114","layer":4},{"info":"compute unary expreesion, input=1114, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1114","layer":3},{"info":"number node, value=4337","layer":4},{"info":"number node, value=6984","layer":4},{"info":"compute binary expreesion, left_input=4337, right_input=6984, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=22642","layer":3},{"info":"compute binary expreesion, left_input=-1114, right_input=22642, 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=4060","layer":4},{"info":"number node, value=1410","layer":4},{"info":"compute binary expreesion, left_input=4060, right_input=1410, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=937","layer":3},{"info":"number node, value=9141","layer":4},{"info":"number node, value=1820","layer":4},{"info":"compute binary expreesion, left_input=9141, right_input=1820, op_id = rysDP5nf3Z binary_op_definition= 'None', output=7321","layer":3},{"info":"compute binary expreesion, left_input=937, right_input=7321, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-12666","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=-12666, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=39917, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮1463⋫)⇼⇔∾(↩⊺⇮5149))⫩⊇)⩚⊴⇥(((⊺⇮1114⩤)⪄(⊺⇮4337⨸⪁⊺⇮6984))⨐⩸⫘(⊺⇮4060≧⫂∧⊺⇮1410⪨≂⊺⇮9141-⊺⇮1820))=NaN","reverse_text":"NaN=(((⊺⇮1463⋫)⇼⇔∾(↩⊺⇮5149))⫩⊇)⩚⊴⇥(((⊺⇮1114⩤)⪄(⊺⇮4337⨸⪁⊺⇮6984))⨐⩸⫘(⊺⇮4060≧⫂∧⊺⇮1410⪨≂⊺⇮9141-⊺⇮1820))","cot":[{"info":"⊺⇮1463⋫=⊺⇮1463","layer":3},{"info":"↩⊺⇮5149=⊺⇮-38412","layer":3},{"info":"⊺⇮1463⇼⇔∾⊺⇮-38412=⊺⇮-39875","layer":2},{"info":"⊺⇮-39875⫩⊇=⊺⇮39917","layer":1},{"info":"⊺⇮1114⩤=⊺⇮-1114","layer":3},{"info":"⊺⇮4337⨸⪁⊺⇮6984=⊺⇮22642","layer":3},{"info":"⊺⇮-1114⪄⊺⇮22642=⊺⇮3979","layer":2},{"info":"⊺⇮4060≧⫂∧⊺⇮1410=⊺⇮937","layer":3},{"info":"⊺⇮9141-⊺⇮1820=⊺⇮7321","layer":3},{"info":"⊺⇮937⪨≂⊺⇮7321=⊺⇮-12666","layer":2},{"info":"⊺⇮3979⨐⩸⫘⊺⇮-12666=NaN","layer":1},{"info":"⊺⇮39917⩚⊴⇥NaN=NaN","layer":0}]}
{"id":750,"expression_no_base_symbol":"(⨈⫕($4816$⨳⩥⨓$2833$)⊴$2113$≹⇙⪍$6637$)⫩⊇","expression":"(⨈⫕(⊺⇮4816⨳⩥⨓⊺⇮2833)⊴⊺⇮2113≹⇙⪍⊺⇮6637)⫩⊇","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":399,"operation_count":5,"complexity_ratio":79.8,"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":4816,"base":10},"right_expr":{"type":"numeric_atoms","value":2833,"base":10}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2113,"base":10},"right_expr":{"type":"numeric_atoms","value":6637,"base":10}}}}},"used_operators":["BjRHVeLaeN","megm06wKyl","Nsiff2A1zJ","nCS4ZIUYfx","AHs5Up7iyr"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9"],"result":"⊺⇮63","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4816","layer":4},{"info":"number node, value=2833","layer":4},{"info":"compute binary expreesion, left_input=4816, right_input=2833, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1983","layer":3},{"info":"number node, value=2113","layer":4},{"info":"number node, value=6637","layer":4},{"info":"compute binary expreesion, left_input=2113, right_input=6637, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=-1983, 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 = 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 = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=63","layer":0}],"base":10,"result_base":10,"text":"(⨈⫕(⊺⇮4816⨳⩥⨓⊺⇮2833)⊴⊺⇮2113≹⇙⪍⊺⇮6637)⫩⊇=⊺⇮63","reverse_text":"⊺⇮63=(⨈⫕(⊺⇮4816⨳⩥⨓⊺⇮2833)⊴⊺⇮2113≹⇙⪍⊺⇮6637)⫩⊇","cot":[{"info":"⊺⇮4816⨳⩥⨓⊺⇮2833=⊺⇮-1983","layer":3},{"info":"⊺⇮2113≹⇙⪍⊺⇮6637=NaN","layer":3},{"info":"⊺⇮-1983⊴NaN=NaN","layer":2},{"info":"⨈⫕NaN=⊺⇮-21","layer":1},{"info":"⊺⇮-21⫩⊇=⊺⇮63","layer":0}]}
{"id":751,"expression_no_base_symbol":"($1143$⊠≄⫣)⋝⋈⪟($3987$/$8066$)⨽((⪝⪂⫅$2933$)⫡⨏$3074$⨟⋌⩍$2790$)⨳⩥⨓((($2044$⩨$1319$)⨁⊸⫻)⪒(⫛⫱⨽$1416$)⪘⫢$3532$⪢$6182$)","expression":"(⊺⇮1143⊠≄⫣)⋝⋈⪟(⊺⇮3987/⊺⇮8066)⨽((⪝⪂⫅⊺⇮2933)⫡⨏⊺⇮3074⨟⋌⩍⊺⇮2790)⨳⩥⨓(((⊺⇮2044⩨⊺⇮1319)⨁⊸⫻)⪒(⫛⫱⨽⊺⇮1416)⪘⫢⊺⇮3532⪢⊺⇮6182)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":7801,"operation_count":14,"complexity_ratio":557.2142857142857,"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":1143,"base":10}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3987,"base":10},"right_expr":{"type":"numeric_atoms","value":8066,"base":10}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":2933,"base":10}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3074,"base":10},"right_expr":{"type":"numeric_atoms","value":2790,"base":10}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2044,"base":10},"right_expr":{"type":"numeric_atoms","value":1319,"base":10}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1416,"base":10}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3532,"base":10},"right_expr":{"type":"numeric_atoms","value":6182,"base":10}}}}},"used_operators":["nCS4ZIUYfx","8HhzD0ZcuI","2DDjHMKMc0","DIvbN7qnHd","XhwjNDsVaA","QMFrweE19q","XTarYq4gQB","rGHVDoGpnC","f6k1SAg4EE","glklzrTFfD","2DlMacCsIx","oacrs7FA3X","DlLNRPXxWL","dWAJyo7jo9"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rGHVDoGpnC","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1143","layer":4},{"info":"compute unary expreesion, input=1143, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=3987","layer":4},{"info":"number node, value=8066","layer":4},{"info":"compute binary expreesion, left_input=3987, right_input=8066, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=0","layer":2},{"info":"number node, value=2933","layer":4},{"info":"compute unary expreesion, input=2933, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-431151","layer":3},{"info":"number node, value=3074","layer":4},{"info":"number node, value=2790","layer":4},{"info":"compute binary expreesion, left_input=3074, right_input=2790, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=-431151, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"number node, value=2044","layer":4},{"info":"number node, value=1319","layer":4},{"info":"compute binary expreesion, left_input=2044, right_input=1319, 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":"number node, value=1416","layer":4},{"info":"compute unary expreesion, input=1416, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=3532","layer":4},{"info":"number node, value=6182","layer":4},{"info":"compute binary expreesion, left_input=3532, right_input=6182, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = 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 = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', 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":10,"result_base":10,"text":"(⊺⇮1143⊠≄⫣)⋝⋈⪟(⊺⇮3987/⊺⇮8066)⨽((⪝⪂⫅⊺⇮2933)⫡⨏⊺⇮3074⨟⋌⩍⊺⇮2790)⨳⩥⨓(((⊺⇮2044⩨⊺⇮1319)⨁⊸⫻)⪒(⫛⫱⨽⊺⇮1416)⪘⫢⊺⇮3532⪢⊺⇮6182)=NaN","reverse_text":"NaN=(⊺⇮1143⊠≄⫣)⋝⋈⪟(⊺⇮3987/⊺⇮8066)⨽((⪝⪂⫅⊺⇮2933)⫡⨏⊺⇮3074⨟⋌⩍⊺⇮2790)⨳⩥⨓(((⊺⇮2044⩨⊺⇮1319)⨁⊸⫻)⪒(⫛⫱⨽⊺⇮1416)⪘⫢⊺⇮3532⪢⊺⇮6182)","cot":[{"info":"⊺⇮1143⊠≄⫣=⊺⇮0","layer":3},{"info":"⊺⇮3987/⊺⇮8066=⊺⇮0","layer":3},{"info":"⊺⇮0⋝⋈⪟⊺⇮0=⊺⇮0","layer":2},{"info":"⪝⪂⫅⊺⇮2933=⊺⇮-431151","layer":3},{"info":"⊺⇮3074⨟⋌⩍⊺⇮2790=NaN","layer":3},{"info":"⊺⇮-431151⫡⨏NaN=NaN","layer":2},{"info":"⊺⇮0⨽NaN=NaN","layer":1},{"info":"⊺⇮2044⩨⊺⇮1319=⊺⇮0","layer":3},{"info":"⊺⇮0⨁⊸⫻=⊺⇮0","layer":2},{"info":"⫛⫱⨽⊺⇮1416=⊺⇮0","layer":3},{"info":"⊺⇮3532⪢⊺⇮6182=NaN","layer":3},{"info":"⊺⇮0⪘⫢NaN=NaN","layer":2},{"info":"⊺⇮0⪒NaN=NaN","layer":1},{"info":"NaN⨳⩥⨓NaN=NaN","layer":0}]}
{"id":752,"expression_no_base_symbol":"($1135$⫥∨⫟$1161$≣⋋)⨳⩥⨓($2203$⪮%⊝$1806$)⪢($2632$≭$1919$)⇼⇔∾(($2512$⇷$4521$↪⪝)⊘)","expression":"(⊺⇮1135⫥∨⫟⊺⇮1161≣⋋)⨳⩥⨓(⊺⇮2203⪮%⊝⊺⇮1806)⪢(⊺⇮2632≭⊺⇮1919)⇼⇔∾((⊺⇮2512⇷⊺⇮4521↪⪝)⊘)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":36067,"operation_count":10,"complexity_ratio":3606.7,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1135,"base":10},"right_expr":{"type":"numeric_atoms","value":1161,"base":10}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2203,"base":10},"right_expr":{"type":"numeric_atoms","value":1806,"base":10}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2632,"base":10},"right_expr":{"type":"numeric_atoms","value":1919,"base":10}}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2512,"base":10},"right_expr":{"type":"numeric_atoms","value":4521,"base":10}}}}},"used_operators":["tifHPKVTfV","nCS4ZIUYfx","Tcnh7f0tEr","KYD54nUTWz","dWAJyo7jo9","IWmyXbctLI","rxpJgHHUmx","gu96TGCTMs","l07mrZUIn9","mp7IySMOzn"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","8HhzD0ZcuI","rGHVDoGpnC","k8jYdgA6NY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","AHs5Up7iyr","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","9HNa5Wba9A","2DDjHMKMc0","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1135","layer":4},{"info":"number node, value=1161","layer":4},{"info":"compute binary expreesion, left_input=1135, right_input=1161, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', 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=2203","layer":4},{"info":"number node, value=1806","layer":4},{"info":"compute binary expreesion, left_input=2203, right_input=1806, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4722","layer":3},{"info":"number node, value=2632","layer":4},{"info":"number node, value=1919","layer":4},{"info":"compute binary expreesion, left_input=2632, right_input=1919, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=4722, 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 = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"number node, value=2512","layer":4},{"info":"number node, value=4521","layer":4},{"info":"compute binary expreesion, left_input=2512, right_input=4521, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=9042","layer":3},{"info":"compute unary expreesion, input=9042, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=553207644","layer":2},{"info":"compute unary expreesion, input=553207644, 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 = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1135⫥∨⫟⊺⇮1161≣⋋)⨳⩥⨓(⊺⇮2203⪮%⊝⊺⇮1806)⪢(⊺⇮2632≭⊺⇮1919)⇼⇔∾((⊺⇮2512⇷⊺⇮4521↪⪝)⊘)=NaN","reverse_text":"NaN=(⊺⇮1135⫥∨⫟⊺⇮1161≣⋋)⨳⩥⨓(⊺⇮2203⪮%⊝⊺⇮1806)⪢(⊺⇮2632≭⊺⇮1919)⇼⇔∾((⊺⇮2512⇷⊺⇮4521↪⪝)⊘)","cot":[{"info":"⊺⇮1135⫥∨⫟⊺⇮1161=NaN","layer":3},{"info":"NaN≣⋋=NaN","layer":2},{"info":"⊺⇮2203⪮%⊝⊺⇮1806=⊺⇮4722","layer":3},{"info":"⊺⇮2632≭⊺⇮1919=NaN","layer":3},{"info":"⊺⇮4722⪢NaN=NaN","layer":2},{"info":"NaN⨳⩥⨓NaN=NaN","layer":1},{"info":"⊺⇮2512⇷⊺⇮4521=⊺⇮9042","layer":3},{"info":"⊺⇮9042↪⪝=⊺⇮553207644","layer":2},{"info":"⊺⇮553207644⊘=⊺⇮0","layer":1},{"info":"NaN⇼⇔∾⊺⇮0=NaN","layer":0}]}
{"id":753,"expression_no_base_symbol":"$1223$≹⇙⪍$1225$⋝⋈⪟$5622$⨓$2046$⪒(↔(≉$3384$))⫡⨏((⊄⩳↩$1056$)+$3390$⪮%⊝$2547$)⨪↰⇹(($1277$⩤)⋥≓≎(+⊝⨔$3616$))","expression":"⊺⇮1223≹⇙⪍⊺⇮1225⋝⋈⪟⊺⇮5622⨓⊺⇮2046⪒(↔(≉⊺⇮3384))⫡⨏((⊄⩳↩⊺⇮1056)+⊺⇮3390⪮%⊝⊺⇮2547)⨪↰⇹((⊺⇮1277⩤)⋥≓≎(+⊝⨔⊺⇮3616))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":6059,"operation_count":14,"complexity_ratio":432.7857142857143,"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":1223,"base":10},"right_expr":{"type":"numeric_atoms","value":1225,"base":10}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":5622,"base":10},"right_expr":{"type":"numeric_atoms","value":2046,"base":10}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":3384,"base":10}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1056,"base":10}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3390,"base":10},"right_expr":{"type":"numeric_atoms","value":2547,"base":10}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1277,"base":10}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":3616,"base":10}}}}},"used_operators":["QMFrweE19q","f6k1SAg4EE","2DDjHMKMc0","AHs5Up7iyr","3ViojmjbAp","ruOEQAzv1W","e1ybzncUwg","tmPS8pqC7x","W4YGzv6Whe","8w2t5hMYqp","IWmyXbctLI","Qy55tPpLXF","Z2TMIBDE3Q","DhbWaqg5eL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1223","layer":4},{"info":"number node, value=1225","layer":4},{"info":"compute binary expreesion, left_input=1223, right_input=1225, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=5622","layer":4},{"info":"number node, value=2046","layer":4},{"info":"compute binary expreesion, left_input=5622, 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=nan, right_input=-2049, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=3384","layer":4},{"info":"compute unary expreesion, input=3384, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3915","layer":3},{"info":"compute unary expreesion, input=3915, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3642","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3642, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=1056","layer":4},{"info":"compute unary expreesion, input=1056, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3168","layer":3},{"info":"number node, value=3390","layer":4},{"info":"number node, value=2547","layer":4},{"info":"compute binary expreesion, left_input=3390, right_input=2547, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=7096","layer":3},{"info":"compute binary expreesion, left_input=-3168, right_input=7096, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3928","layer":2},{"info":"number node, value=1277","layer":4},{"info":"compute unary expreesion, input=1277, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1277","layer":3},{"info":"number node, value=3616","layer":4},{"info":"compute unary expreesion, input=3616, 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=-1277, right_input=1522, 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=3928, right_input=67, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3928","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3928, op_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":10,"result_base":10,"text":"⊺⇮1223≹⇙⪍⊺⇮1225⋝⋈⪟⊺⇮5622⨓⊺⇮2046⪒(↔(≉⊺⇮3384))⫡⨏((⊄⩳↩⊺⇮1056)+⊺⇮3390⪮%⊝⊺⇮2547)⨪↰⇹((⊺⇮1277⩤)⋥≓≎(+⊝⨔⊺⇮3616))=NaN","reverse_text":"NaN=⊺⇮1223≹⇙⪍⊺⇮1225⋝⋈⪟⊺⇮5622⨓⊺⇮2046⪒(↔(≉⊺⇮3384))⫡⨏((⊄⩳↩⊺⇮1056)+⊺⇮3390⪮%⊝⊺⇮2547)⨪↰⇹((⊺⇮1277⩤)⋥≓≎(+⊝⨔⊺⇮3616))","cot":[{"info":"⊺⇮1223≹⇙⪍⊺⇮1225=NaN","layer":3},{"info":"⊺⇮5622⨓⊺⇮2046=⊺⇮-2049","layer":3},{"info":"NaN⋝⋈⪟⊺⇮-2049=NaN","layer":2},{"info":"≉⊺⇮3384=⊺⇮3915","layer":3},{"info":"↔⊺⇮3915=⊺⇮-3642","layer":2},{"info":"NaN⪒⊺⇮-3642=NaN","layer":1},{"info":"⊄⩳↩⊺⇮1056=⊺⇮-3168","layer":3},{"info":"⊺⇮3390⪮%⊝⊺⇮2547=⊺⇮7096","layer":3},{"info":"⊺⇮-3168+⊺⇮7096=⊺⇮3928","layer":2},{"info":"⊺⇮1277⩤=⊺⇮-1277","layer":3},{"info":"+⊝⨔⊺⇮3616=⊺⇮1522","layer":3},{"info":"⊺⇮-1277⋥≓≎⊺⇮1522=⊺⇮67","layer":2},{"info":"⊺⇮3928⨪↰⇹⊺⇮67=⊺⇮3928","layer":1},{"info":"NaN⫡⨏⊺⇮3928=NaN","layer":0}]}
{"id":754,"expression_no_base_symbol":"((≉$3009$)≧⫂∧($4263$⩨$3790$)⪨≂(($2952$+$7083$)≦≮≮))⨸⪁(↔(⊙↵-($6549$⨰$2628$)))","expression":"((≉⊺⇮3009)≧⫂∧(⊺⇮4263⩨⊺⇮3790)⪨≂((⊺⇮2952+⊺⇮7083)≦≮≮))⨸⪁(↔(⊙↵-(⊺⇮6549⨰⊺⇮2628)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4012,"operation_count":10,"complexity_ratio":401.2,"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":3009,"base":10}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4263,"base":10},"right_expr":{"type":"numeric_atoms","value":3790,"base":10}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2952,"base":10},"right_expr":{"type":"numeric_atoms","value":7083,"base":10}}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":6549,"base":10},"right_expr":{"type":"numeric_atoms","value":2628,"base":10}}}}},"used_operators":["g55IO6H4Gj","sdazOOVcIp","Ph9nP6C5qx","e1ybzncUwg","2DlMacCsIx","D4vGDi5EA2","W4YGzv6Whe","ruOEQAzv1W","oWn0xqSxBt","eewbuw0ToL"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮120314","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3009","layer":4},{"info":"compute unary expreesion, input=3009, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3540","layer":3},{"info":"number node, value=4263","layer":4},{"info":"number node, value=3790","layer":4},{"info":"compute binary expreesion, left_input=4263, right_input=3790, 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=3540, right_input=0, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-473","layer":2},{"info":"number node, value=2952","layer":4},{"info":"number node, value=7083","layer":4},{"info":"compute binary expreesion, left_input=2952, right_input=7083, op_id = W4YGzv6Whe binary_op_definition= 'None', output=10035","layer":3},{"info":"compute unary expreesion, input=10035, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-30105","layer":2},{"info":"compute binary expreesion, left_input=-473, right_input=-30105, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=59366","layer":1},{"info":"number node, value=6549","layer":4},{"info":"number node, value=2628","layer":4},{"info":"compute binary expreesion, left_input=6549, right_input=2628, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=3931","layer":3},{"info":"compute unary expreesion, input=3931, 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 = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=791","layer":1},{"info":"compute binary expreesion, left_input=59366, right_input=791, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=120314","layer":0}],"base":10,"result_base":10,"text":"((≉⊺⇮3009)≧⫂∧(⊺⇮4263⩨⊺⇮3790)⪨≂((⊺⇮2952+⊺⇮7083)≦≮≮))⨸⪁(↔(⊙↵-(⊺⇮6549⨰⊺⇮2628)))=⊺⇮120314","reverse_text":"⊺⇮120314=((≉⊺⇮3009)≧⫂∧(⊺⇮4263⩨⊺⇮3790)⪨≂((⊺⇮2952+⊺⇮7083)≦≮≮))⨸⪁(↔(⊙↵-(⊺⇮6549⨰⊺⇮2628)))","cot":[{"info":"≉⊺⇮3009=⊺⇮3540","layer":3},{"info":"⊺⇮4263⩨⊺⇮3790=⊺⇮0","layer":3},{"info":"⊺⇮3540≧⫂∧⊺⇮0=⊺⇮-473","layer":2},{"info":"⊺⇮2952+⊺⇮7083=⊺⇮10035","layer":3},{"info":"⊺⇮10035≦≮≮=⊺⇮-30105","layer":2},{"info":"⊺⇮-473⪨≂⊺⇮-30105=⊺⇮59366","layer":1},{"info":"⊺⇮6549⨰⊺⇮2628=⊺⇮3931","layer":3},{"info":"⊙↵-⊺⇮3931=⊺⇮-1","layer":2},{"info":"↔⊺⇮-1=⊺⇮791","layer":1},{"info":"⊺⇮59366⨸⪁⊺⇮791=⊺⇮120314","layer":0}]}
{"id":755,"expression_no_base_symbol":"((⊥$1568$)⪨≂$3366$∑⇟⊟$8327$)↙($1077$⊠≄⫣)⨽($1316$⩤)∲⫓($1319$⨳⩥⨓$1837$)⋥≓≎($2245$⩤)⨸⪁($6806$+⇶⊼$2494$)⇷($2216$⊉≛↸$2194$)","expression":"((⊥⊺⇮1568)⪨≂⊺⇮3366∑⇟⊟⊺⇮8327)↙(⊺⇮1077⊠≄⫣)⨽(⊺⇮1316⩤)∲⫓(⊺⇮1319⨳⩥⨓⊺⇮1837)⋥≓≎(⊺⇮2245⩤)⨸⪁(⊺⇮6806+⇶⊼⊺⇮2494)⇷(⊺⇮2216⊉≛↸⊺⇮2194)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":45,"operation_count":15,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1568,"base":10}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3366,"base":10},"right_expr":{"type":"numeric_atoms","value":8327,"base":10}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1077,"base":10}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1316,"base":10}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1319,"base":10},"right_expr":{"type":"numeric_atoms","value":1837,"base":10}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":2245,"base":10}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":6806,"base":10},"right_expr":{"type":"numeric_atoms","value":2494,"base":10}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2216,"base":10},"right_expr":{"type":"numeric_atoms","value":2194,"base":10}}}}},"used_operators":["i8ToyICDmI","yyfyN0ffXY","sdazOOVcIp","Q3PJZHRvZv","U7g4x0WXJJ","8HhzD0ZcuI","DIvbN7qnHd","Z2TMIBDE3Q","g55IO6H4Gj","Qy55tPpLXF","nCS4ZIUYfx","mp7IySMOzn","TpPTUOHfaN","DZ8iAZOCBD"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1568","layer":4},{"info":"compute unary expreesion, input=1568, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=3366","layer":4},{"info":"number node, value=8327","layer":4},{"info":"compute binary expreesion, left_input=3366, right_input=8327, 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 = 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=1077","layer":4},{"info":"compute unary expreesion, input=1077, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=1316","layer":4},{"info":"compute unary expreesion, input=1316, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1316","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1316, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=5262","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5262, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":1},{"info":"number node, value=1319","layer":4},{"info":"number node, value=1837","layer":4},{"info":"compute binary expreesion, left_input=1319, right_input=1837, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=518","layer":3},{"info":"number node, value=2245","layer":4},{"info":"compute unary expreesion, input=2245, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2245","layer":3},{"info":"compute binary expreesion, left_input=518, right_input=-2245, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-4975","layer":2},{"info":"number node, value=6806","layer":4},{"info":"number node, value=2494","layer":4},{"info":"compute binary expreesion, left_input=6806, right_input=2494, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=2216","layer":4},{"info":"number node, value=2194","layer":4},{"info":"compute binary expreesion, left_input=2216, right_input=2194, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4432","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4432, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=8864","layer":2},{"info":"compute binary expreesion, left_input=-4975, right_input=8864, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=7778","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=7778, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":0}],"base":10,"result_base":10,"text":"((⊥⊺⇮1568)⪨≂⊺⇮3366∑⇟⊟⊺⇮8327)↙(⊺⇮1077⊠≄⫣)⨽(⊺⇮1316⩤)∲⫓(⊺⇮1319⨳⩥⨓⊺⇮1837)⋥≓≎(⊺⇮2245⩤)⨸⪁(⊺⇮6806+⇶⊼⊺⇮2494)⇷(⊺⇮2216⊉≛↸⊺⇮2194)=⊺⇮0","reverse_text":"⊺⇮0=((⊥⊺⇮1568)⪨≂⊺⇮3366∑⇟⊟⊺⇮8327)↙(⊺⇮1077⊠≄⫣)⨽(⊺⇮1316⩤)∲⫓(⊺⇮1319⨳⩥⨓⊺⇮1837)⋥≓≎(⊺⇮2245⩤)⨸⪁(⊺⇮6806+⇶⊼⊺⇮2494)⇷(⊺⇮2216⊉≛↸⊺⇮2194)","cot":[{"info":"⊥⊺⇮1568=NaN","layer":3},{"info":"⊺⇮3366∑⇟⊟⊺⇮8327=NaN","layer":3},{"info":"NaN⪨≂NaN=NaN","layer":2},{"info":"⊺⇮1077⊠≄⫣=⊺⇮0","layer":3},{"info":"⊺⇮1316⩤=⊺⇮-1316","layer":3},{"info":"⊺⇮0⨽⊺⇮-1316=⊺⇮5262","layer":2},{"info":"NaN↙⊺⇮5262=NaN","layer":1},{"info":"⊺⇮1319⨳⩥⨓⊺⇮1837=⊺⇮518","layer":3},{"info":"⊺⇮2245⩤=⊺⇮-2245","layer":3},{"info":"⊺⇮518⋥≓≎⊺⇮-2245=⊺⇮-4975","layer":2},{"info":"⊺⇮6806+⇶⊼⊺⇮2494=NaN","layer":3},{"info":"⊺⇮2216⊉≛↸⊺⇮2194=⊺⇮4432","layer":3},{"info":"NaN⇷⊺⇮4432=⊺⇮8864","layer":2},{"info":"⊺⇮-4975⨸⪁⊺⇮8864=⊺⇮7778","layer":1},{"info":"NaN∲⫓⊺⇮7778=⊺⇮0","layer":0}]}
{"id":756,"expression_no_base_symbol":"(($6433$⨽$1700$)⋓(↽≂$1779$)≫≃)⩤","expression":"((⊺⇮6433⨽⊺⇮1700)⋓(↽≂⊺⇮1779)≫≃)⩤","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6466,"operation_count":5,"complexity_ratio":1293.2,"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":6433,"base":10},"right_expr":{"type":"numeric_atoms","value":1700,"base":10}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1779,"base":10}}}}},"used_operators":["Z2TMIBDE3Q","X99M06cbEe","T2fj7uvVaJ","8HhzD0ZcuI","u6S6b8DprG"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⊺⇮-1401","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6433","layer":4},{"info":"number node, value=1700","layer":4},{"info":"compute binary expreesion, left_input=6433, right_input=1700, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-124154253","layer":3},{"info":"number node, value=1779","layer":4},{"info":"compute unary expreesion, input=1779, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-3558","layer":3},{"info":"compute binary expreesion, left_input=-124154253, right_input=-3558, op_id = T2fj7uvVaJ binary_op_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 = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=1401","layer":1},{"info":"compute unary expreesion, input=1401, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1401","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮6433⨽⊺⇮1700)⋓(↽≂⊺⇮1779)≫≃)⩤=⊺⇮-1401","reverse_text":"⊺⇮-1401=((⊺⇮6433⨽⊺⇮1700)⋓(↽≂⊺⇮1779)≫≃)⩤","cot":[{"info":"⊺⇮6433⨽⊺⇮1700=⊺⇮-124154253","layer":3},{"info":"↽≂⊺⇮1779=⊺⇮-3558","layer":3},{"info":"⊺⇮-124154253⋓⊺⇮-3558=⊺⇮0","layer":2},{"info":"⊺⇮0≫≃=⊺⇮1401","layer":1},{"info":"⊺⇮1401⩤=⊺⇮-1401","layer":0}]}
{"id":757,"expression_no_base_symbol":"↩((↣≠⋷$3335$)⋳⪒($8779$⪄$2375$))⪢($2142$⪢$1342$⇷($1705$↙$1623$))","expression":"↩((↣≠⋷⊺⇮3335)⋳⪒(⊺⇮8779⪄⊺⇮2375))⪢(⊺⇮2142⪢⊺⇮1342⇷(⊺⇮1705↙⊺⇮1623))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3310,"operation_count":8,"complexity_ratio":413.75,"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":3335,"base":10}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":8779,"base":10},"right_expr":{"type":"numeric_atoms","value":2375,"base":10}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2142,"base":10},"right_expr":{"type":"numeric_atoms","value":1342,"base":10}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1705,"base":10},"right_expr":{"type":"numeric_atoms","value":1623,"base":10}}}}},"used_operators":["jLgFTUHLKL","dWAJyo7jo9","12rbrZMWeM","Asc51vEJeQ","SUmda5xLS4","mp7IySMOzn","yyfyN0ffXY"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3335","layer":4},{"info":"compute unary expreesion, input=3335, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=8779","layer":4},{"info":"number node, value=2375","layer":4},{"info":"compute binary expreesion, left_input=8779, right_input=2375, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1304881","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1304881, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"number node, value=2142","layer":4},{"info":"number node, value=1342","layer":4},{"info":"compute binary expreesion, left_input=2142, right_input=1342, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1705","layer":4},{"info":"number node, value=1623","layer":4},{"info":"compute binary expreesion, left_input=1705, right_input=1623, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4869","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4869, 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 = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"↩((↣≠⋷⊺⇮3335)⋳⪒(⊺⇮8779⪄⊺⇮2375))⪢(⊺⇮2142⪢⊺⇮1342⇷(⊺⇮1705↙⊺⇮1623))=NaN","reverse_text":"NaN=↩((↣≠⋷⊺⇮3335)⋳⪒(⊺⇮8779⪄⊺⇮2375))⪢(⊺⇮2142⪢⊺⇮1342⇷(⊺⇮1705↙⊺⇮1623))","cot":[{"info":"↣≠⋷⊺⇮3335=NaN","layer":3},{"info":"⊺⇮8779⪄⊺⇮2375=⊺⇮-1304881","layer":3},{"info":"NaN⋳⪒⊺⇮-1304881=NaN","layer":2},{"info":"⊺⇮2142⪢⊺⇮1342=NaN","layer":3},{"info":"⊺⇮1705↙⊺⇮1623=⊺⇮-4869","layer":3},{"info":"NaN⇷⊺⇮-4869=NaN","layer":2},{"info":"NaN⪢NaN=NaN","layer":1},{"info":"↩NaN=NaN","layer":0}]}
{"id":758,"expression_no_base_symbol":"(⪝⪂⫅($1239$⪒$1094$)⪘⫢(⨑⩽⪐$3730$))⨎($4059$⨎$1318$⊉≛↸(≦∁$5305$))⪘⫢(∥⊫$4371$⪄$4116$)","expression":"(⪝⪂⫅(⊺⇮1239⪒⊺⇮1094)⪘⫢(⨑⩽⪐⊺⇮3730))⨎(⊺⇮4059⨎⊺⇮1318⊉≛↸(≦∁⊺⇮5305))⪘⫢(∥⊫⊺⇮4371⪄⊺⇮4116)","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":132,"operation_count":11,"complexity_ratio":12.0,"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":1239,"base":10},"right_expr":{"type":"numeric_atoms","value":1094,"base":10}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":3730,"base":10}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4059,"base":10},"right_expr":{"type":"numeric_atoms","value":1318,"base":10}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":5305,"base":10}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4371,"base":10},"right_expr":{"type":"numeric_atoms","value":4116,"base":10}}}}},"used_operators":["rJVOvQCfKK","XTarYq4gQB","oacrs7FA3X","f6k1SAg4EE","AF7qkfDlqP","DZ8iAZOCBD","9ICcGScMcE","P8v4zCKN1o","SUmda5xLS4"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9HNa5Wba9A","8w2t5hMYqp","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1239","layer":4},{"info":"number node, value=1094","layer":4},{"info":"compute binary expreesion, left_input=1239, right_input=1094, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2333","layer":3},{"info":"number node, value=3730","layer":4},{"info":"compute unary expreesion, input=3730, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-3457","layer":3},{"info":"compute binary expreesion, left_input=-2333, right_input=-3457, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":2},{"info":"compute unary expreesion, input=-1, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=147","layer":1},{"info":"number node, value=4059","layer":4},{"info":"number node, value=1318","layer":4},{"info":"compute binary expreesion, left_input=4059, right_input=1318, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1318","layer":3},{"info":"number node, value=5305","layer":4},{"info":"compute unary expreesion, input=5305, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=5305","layer":3},{"info":"compute binary expreesion, left_input=1318, right_input=5305, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2636","layer":2},{"info":"number node, value=4371","layer":4},{"info":"number node, value=4116","layer":4},{"info":"compute binary expreesion, left_input=4371, right_input=4116, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-659461","layer":3},{"info":"compute unary expreesion, input=-659461, 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=2636, right_input=-55, 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=147, 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":10,"result_base":10,"text":"(⪝⪂⫅(⊺⇮1239⪒⊺⇮1094)⪘⫢(⨑⩽⪐⊺⇮3730))⨎(⊺⇮4059⨎⊺⇮1318⊉≛↸(≦∁⊺⇮5305))⪘⫢(∥⊫⊺⇮4371⪄⊺⇮4116)=⊺⇮0","reverse_text":"⊺⇮0=(⪝⪂⫅(⊺⇮1239⪒⊺⇮1094)⪘⫢(⨑⩽⪐⊺⇮3730))⨎(⊺⇮4059⨎⊺⇮1318⊉≛↸(≦∁⊺⇮5305))⪘⫢(∥⊫⊺⇮4371⪄⊺⇮4116)","cot":[{"info":"⊺⇮1239⪒⊺⇮1094=⊺⇮-2333","layer":3},{"info":"⨑⩽⪐⊺⇮3730=⊺⇮-3457","layer":3},{"info":"⊺⇮-2333⪘⫢⊺⇮-3457=⊺⇮-1","layer":2},{"info":"⪝⪂⫅⊺⇮-1=⊺⇮147","layer":1},{"info":"⊺⇮4059⨎⊺⇮1318=⊺⇮1318","layer":3},{"info":"≦∁⊺⇮5305=⊺⇮5305","layer":3},{"info":"⊺⇮1318⊉≛↸⊺⇮5305=⊺⇮2636","layer":2},{"info":"⊺⇮4371⪄⊺⇮4116=⊺⇮-659461","layer":3},{"info":"∥⊫⊺⇮-659461=⊺⇮-55","layer":2},{"info":"⊺⇮2636⪘⫢⊺⇮-55=⊺⇮0","layer":1},{"info":"⊺⇮147⨎⊺⇮0=⊺⇮0","layer":0}]}
{"id":759,"expression_no_base_symbol":"(($2057$⊭↱$1636$-$2085$∼$7161$)%($3010$∸)⋳⪒(↩$2224$))⋫","expression":"((⊺⇮2057⊭↱⊺⇮1636-⊺⇮2085∼⊺⇮7161)%(⊺⇮3010∸)⋳⪒(↩⊺⇮2224))⋫","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":251,"operation_count":8,"complexity_ratio":31.375,"tree":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2057,"base":10},"right_expr":{"type":"numeric_atoms","value":1636,"base":10}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2085,"base":10},"right_expr":{"type":"numeric_atoms","value":7161,"base":10}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":3010,"base":10}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":2224,"base":10}}}}},"used_operators":["JL8yIekQnl","k8jYdgA6NY","rysDP5nf3Z","COABgblf1C","DyGG3AbaNP","12rbrZMWeM","o20kRiQErp","jLgFTUHLKL"],"dependent_operators":["tmPS8pqC7x","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2057","layer":4},{"info":"number node, value=1636","layer":4},{"info":"compute binary expreesion, left_input=2057, right_input=1636, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-837","layer":3},{"info":"number node, value=2085","layer":4},{"info":"number node, value=7161","layer":4},{"info":"compute binary expreesion, left_input=2085, right_input=7161, 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=-837, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=3010","layer":4},{"info":"compute unary expreesion, input=3010, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=2224","layer":4},{"info":"compute unary expreesion, input=2224, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-15012","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=-15012, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=15079","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=15079, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮2057⊭↱⊺⇮1636-⊺⇮2085∼⊺⇮7161)%(⊺⇮3010∸)⋳⪒(↩⊺⇮2224))⋫=NaN","reverse_text":"NaN=((⊺⇮2057⊭↱⊺⇮1636-⊺⇮2085∼⊺⇮7161)%(⊺⇮3010∸)⋳⪒(↩⊺⇮2224))⋫","cot":[{"info":"⊺⇮2057⊭↱⊺⇮1636=⊺⇮-837","layer":3},{"info":"⊺⇮2085∼⊺⇮7161=NaN","layer":3},{"info":"⊺⇮-837-NaN=NaN","layer":2},{"info":"⊺⇮3010∸=⊺⇮177","layer":3},{"info":"↩⊺⇮2224=⊺⇮-15012","layer":3},{"info":"⊺⇮177⋳⪒⊺⇮-15012=⊺⇮15079","layer":2},{"info":"NaN%⊺⇮15079=NaN","layer":1},{"info":"NaN⋫=NaN","layer":0}]}
{"id":760,"expression_no_base_symbol":"(($1118$⩨$1516$/$4342$↬$1228$)∸)⨰(($3983$⨓$1773$⨳⩥⨓(⋗⩬⋾$5077$))≭($1080$∑⇟⊟$1321$⨐⩸⫘($2718$⊪)))","expression":"((⊺⇮1118⩨⊺⇮1516/⊺⇮4342↬⊺⇮1228)∸)⨰((⊺⇮3983⨓⊺⇮1773⨳⩥⨓(⋗⩬⋾⊺⇮5077))≭(⊺⇮1080∑⇟⊟⊺⇮1321⨐⩸⫘(⊺⇮2718⊪)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2010,"operation_count":12,"complexity_ratio":167.5,"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":1118,"base":10},"right_expr":{"type":"numeric_atoms","value":1516,"base":10}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4342,"base":10},"right_expr":{"type":"numeric_atoms","value":1228,"base":10}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3983,"base":10},"right_expr":{"type":"numeric_atoms","value":1773,"base":10}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":5077,"base":10}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1080,"base":10},"right_expr":{"type":"numeric_atoms","value":1321,"base":10}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":2718,"base":10}}}}},"used_operators":["eewbuw0ToL","o20kRiQErp","XhwjNDsVaA","2DlMacCsIx","B5M0gjZbta","rxpJgHHUmx","nCS4ZIUYfx","3ViojmjbAp","DpFCA1CohY","fu6greOZ01","U7g4x0WXJJ","zVYPLywUTj"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rGHVDoGpnC","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1118","layer":4},{"info":"number node, value=1516","layer":4},{"info":"compute binary expreesion, left_input=1118, right_input=1516, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=4342","layer":4},{"info":"number node, value=1228","layer":4},{"info":"compute binary expreesion, left_input=4342, right_input=1228, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=-3, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"number node, value=3983","layer":4},{"info":"number node, value=1773","layer":4},{"info":"compute binary expreesion, left_input=3983, right_input=1773, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1776","layer":3},{"info":"number node, value=5077","layer":4},{"info":"compute unary expreesion, input=5077, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-15231","layer":3},{"info":"compute binary expreesion, left_input=-1776, right_input=-15231, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-13455","layer":2},{"info":"number node, value=1080","layer":4},{"info":"number node, value=1321","layer":4},{"info":"compute binary expreesion, left_input=1080, right_input=1321, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=2718","layer":4},{"info":"compute unary expreesion, input=2718, 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 = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=-13455, 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=177, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1118⩨⊺⇮1516/⊺⇮4342↬⊺⇮1228)∸)⨰((⊺⇮3983⨓⊺⇮1773⨳⩥⨓(⋗⩬⋾⊺⇮5077))≭(⊺⇮1080∑⇟⊟⊺⇮1321⨐⩸⫘(⊺⇮2718⊪)))=NaN","reverse_text":"NaN=((⊺⇮1118⩨⊺⇮1516/⊺⇮4342↬⊺⇮1228)∸)⨰((⊺⇮3983⨓⊺⇮1773⨳⩥⨓(⋗⩬⋾⊺⇮5077))≭(⊺⇮1080∑⇟⊟⊺⇮1321⨐⩸⫘(⊺⇮2718⊪)))","cot":[{"info":"⊺⇮1118⩨⊺⇮1516=⊺⇮-3","layer":3},{"info":"⊺⇮4342↬⊺⇮1228=NaN","layer":3},{"info":"⊺⇮-3/NaN=NaN","layer":2},{"info":"NaN∸=⊺⇮177","layer":1},{"info":"⊺⇮3983⨓⊺⇮1773=⊺⇮-1776","layer":3},{"info":"⋗⩬⋾⊺⇮5077=⊺⇮-15231","layer":3},{"info":"⊺⇮-1776⨳⩥⨓⊺⇮-15231=⊺⇮-13455","layer":2},{"info":"⊺⇮1080∑⇟⊟⊺⇮1321=NaN","layer":3},{"info":"⊺⇮2718⊪=⊺⇮0","layer":3},{"info":"NaN⨐⩸⫘⊺⇮0=NaN","layer":2},{"info":"⊺⇮-13455≭NaN=NaN","layer":1},{"info":"⊺⇮177⨰NaN=NaN","layer":0}]}
{"id":761,"expression_no_base_symbol":"(($1231$∲⫓$3671$)⩷∴(⊙↵-$1078$))⪮%⊝((⩦⩻⨪$3236$)⇷$9399$⇷$1003$)*$3272$⋝⋈⪟$3767$⋓($4125$⨽$1020$)⪄($1821$⇼⇔∾$3536$%$1908$+⇶⊼$1432$)","expression":"((⊺⇮1231∲⫓⊺⇮3671)⩷∴(⊙↵-⊺⇮1078))⪮%⊝((⩦⩻⨪⊺⇮3236)⇷⊺⇮9399⇷⊺⇮1003)*⊺⇮3272⋝⋈⪟⊺⇮3767⋓(⊺⇮4125⨽⊺⇮1020)⪄(⊺⇮1821⇼⇔∾⊺⇮3536%⊺⇮1908+⇶⊼⊺⇮1432)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":182224,"operation_count":15,"complexity_ratio":12148.266666666666,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1231,"base":10},"right_expr":{"type":"numeric_atoms","value":3671,"base":10}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1078,"base":10}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":3236,"base":10}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":9399,"base":10},"right_expr":{"type":"numeric_atoms","value":1003,"base":10}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3272,"base":10},"right_expr":{"type":"numeric_atoms","value":3767,"base":10}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4125,"base":10},"right_expr":{"type":"numeric_atoms","value":1020,"base":10}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1821,"base":10},"right_expr":{"type":"numeric_atoms","value":3536,"base":10}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1908,"base":10},"right_expr":{"type":"numeric_atoms","value":1432,"base":10}}}}},"used_operators":["9HNa5Wba9A","IWmyXbctLI","9FxExcQeMw","i8ToyICDmI","oWn0xqSxBt","mp7IySMOzn","2td37pGCOC","SUmda5xLS4","T2fj7uvVaJ","2DDjHMKMc0","8HhzD0ZcuI","k8jYdgA6NY","tifHPKVTfV","TpPTUOHfaN"],"dependent_operators":["W4YGzv6Whe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1231","layer":4},{"info":"number node, value=3671","layer":4},{"info":"compute binary expreesion, left_input=1231, right_input=3671, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1078","layer":4},{"info":"compute unary expreesion, input=1078, 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 = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-30","layer":2},{"info":"number node, value=3236","layer":4},{"info":"compute unary expreesion, input=3236, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=3236","layer":3},{"info":"number node, value=9399","layer":4},{"info":"number node, value=1003","layer":4},{"info":"compute binary expreesion, left_input=9399, right_input=1003, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2006","layer":3},{"info":"compute binary expreesion, left_input=3236, right_input=2006, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4012","layer":2},{"info":"compute binary expreesion, left_input=-30, right_input=4012, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=256","layer":1},{"info":"number node, value=3272","layer":4},{"info":"number node, value=3767","layer":4},{"info":"compute binary expreesion, left_input=3272, right_input=3767, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3272","layer":3},{"info":"number node, value=4125","layer":4},{"info":"number node, value=1020","layer":4},{"info":"compute binary expreesion, left_input=4125, right_input=1020, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-51048621","layer":3},{"info":"compute binary expreesion, left_input=3272, right_input=-51048621, op_id = T2fj7uvVaJ binary_op_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=1821","layer":4},{"info":"number node, value=3536","layer":4},{"info":"compute binary expreesion, left_input=1821, right_input=3536, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1715","layer":3},{"info":"number node, value=1908","layer":4},{"info":"number node, value=1432","layer":4},{"info":"compute binary expreesion, left_input=1908, right_input=1432, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=1715, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=256, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1231∲⫓⊺⇮3671)⩷∴(⊙↵-⊺⇮1078))⪮%⊝((⩦⩻⨪⊺⇮3236)⇷⊺⇮9399⇷⊺⇮1003)*⊺⇮3272⋝⋈⪟⊺⇮3767⋓(⊺⇮4125⨽⊺⇮1020)⪄(⊺⇮1821⇼⇔∾⊺⇮3536%⊺⇮1908+⇶⊼⊺⇮1432)=NaN","reverse_text":"NaN=((⊺⇮1231∲⫓⊺⇮3671)⩷∴(⊙↵-⊺⇮1078))⪮%⊝((⩦⩻⨪⊺⇮3236)⇷⊺⇮9399⇷⊺⇮1003)*⊺⇮3272⋝⋈⪟⊺⇮3767⋓(⊺⇮4125⨽⊺⇮1020)⪄(⊺⇮1821⇼⇔∾⊺⇮3536%⊺⇮1908+⇶⊼⊺⇮1432)","cot":[{"info":"⊺⇮1231∲⫓⊺⇮3671=⊺⇮0","layer":3},{"info":"⊙↵-⊺⇮1078=⊺⇮-1","layer":3},{"info":"⊺⇮0⩷∴⊺⇮-1=⊺⇮-30","layer":2},{"info":"⩦⩻⨪⊺⇮3236=⊺⇮3236","layer":3},{"info":"⊺⇮9399⇷⊺⇮1003=⊺⇮2006","layer":3},{"info":"⊺⇮3236⇷⊺⇮2006=⊺⇮4012","layer":2},{"info":"⊺⇮-30⪮%⊝⊺⇮4012=⊺⇮256","layer":1},{"info":"⊺⇮3272⋝⋈⪟⊺⇮3767=⊺⇮3272","layer":3},{"info":"⊺⇮4125⨽⊺⇮1020=⊺⇮-51048621","layer":3},{"info":"⊺⇮3272⋓⊺⇮-51048621=⊺⇮0","layer":2},{"info":"⊺⇮1821⇼⇔∾⊺⇮3536=⊺⇮1715","layer":3},{"info":"⊺⇮1908+⇶⊼⊺⇮1432=NaN","layer":3},{"info":"⊺⇮1715%NaN=NaN","layer":2},{"info":"⊺⇮0⪄NaN=NaN","layer":1},{"info":"⊺⇮256*NaN=NaN","layer":0}]}
{"id":762,"expression_no_base_symbol":"(($5831$⫸⊐$2656$)⪮%⊝($8908$⨰$1101$)⫡⨏$9661$⨰$2820$⋳⪒(⪲⇎$1009$))⨐⩸⫘(($1395$⪒$4592$)⨽($7591$≦≮≮)⪄(($1959$⩷∴$1105$)∧))","expression":"((⊺⇮5831⫸⊐⊺⇮2656)⪮%⊝(⊺⇮8908⨰⊺⇮1101)⫡⨏⊺⇮9661⨰⊺⇮2820⋳⪒(⪲⇎⊺⇮1009))⨐⩸⫘((⊺⇮1395⪒⊺⇮4592)⨽(⊺⇮7591≦≮≮)⪄((⊺⇮1959⩷∴⊺⇮1105)∧))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6168,"operation_count":14,"complexity_ratio":440.57142857142856,"tree":{"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":10},"right_expr":{"type":"numeric_atoms","value":2656,"base":10}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":8908,"base":10},"right_expr":{"type":"numeric_atoms","value":1101,"base":10}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":9661,"base":10},"right_expr":{"type":"numeric_atoms","value":2820,"base":10}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1009,"base":10}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1395,"base":10},"right_expr":{"type":"numeric_atoms","value":4592,"base":10}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":7591,"base":10}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1959,"base":10},"right_expr":{"type":"numeric_atoms","value":1105,"base":10}}}}},"used_operators":["fu6greOZ01","QMFrweE19q","IWmyXbctLI","mqXw5SEYmG","eewbuw0ToL","12rbrZMWeM","XPYlsWDdGa","SUmda5xLS4","8HhzD0ZcuI","f6k1SAg4EE","D4vGDi5EA2","z63VuFQld9","9FxExcQeMw"],"dependent_operators":["3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5831","layer":4},{"info":"number node, value=2656","layer":4},{"info":"compute binary expreesion, left_input=5831, right_input=2656, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=10499","layer":3},{"info":"number node, value=8908","layer":4},{"info":"number node, value=1101","layer":4},{"info":"compute binary expreesion, left_input=8908, right_input=1101, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=7817","layer":3},{"info":"compute binary expreesion, left_input=10499, right_input=7817, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=21314","layer":2},{"info":"number node, value=9661","layer":4},{"info":"number node, value=2820","layer":4},{"info":"compute binary expreesion, left_input=9661, right_input=2820, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=6851","layer":3},{"info":"number node, value=1009","layer":4},{"info":"compute unary expreesion, input=1009, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2018","layer":3},{"info":"compute binary expreesion, left_input=6851, right_input=2018, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=11397","layer":2},{"info":"compute binary expreesion, left_input=21314, right_input=11397, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=130147","layer":1},{"info":"number node, value=1395","layer":4},{"info":"number node, value=4592","layer":4},{"info":"compute binary expreesion, left_input=1395, right_input=4592, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5987","layer":3},{"info":"number node, value=7591","layer":4},{"info":"compute unary expreesion, input=7591, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-22773","layer":3},{"info":"compute binary expreesion, left_input=-5987, right_input=-22773, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-107462874","layer":2},{"info":"number node, value=1959","layer":4},{"info":"number node, value=1105","layer":4},{"info":"compute binary expreesion, left_input=1959, right_input=1105, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1676","layer":3},{"info":"compute unary expreesion, input=1676, 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=-107462874, 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=130147, right_input=3979, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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":10,"result_base":10,"text":"((⊺⇮5831⫸⊐⊺⇮2656)⪮%⊝(⊺⇮8908⨰⊺⇮1101)⫡⨏⊺⇮9661⨰⊺⇮2820⋳⪒(⪲⇎⊺⇮1009))⨐⩸⫘((⊺⇮1395⪒⊺⇮4592)⨽(⊺⇮7591≦≮≮)⪄((⊺⇮1959⩷∴⊺⇮1105)∧))=NaN","reverse_text":"NaN=((⊺⇮5831⫸⊐⊺⇮2656)⪮%⊝(⊺⇮8908⨰⊺⇮1101)⫡⨏⊺⇮9661⨰⊺⇮2820⋳⪒(⪲⇎⊺⇮1009))⨐⩸⫘((⊺⇮1395⪒⊺⇮4592)⨽(⊺⇮7591≦≮≮)⪄((⊺⇮1959⩷∴⊺⇮1105)∧))","cot":[{"info":"⊺⇮5831⫸⊐⊺⇮2656=⊺⇮10499","layer":3},{"info":"⊺⇮8908⨰⊺⇮1101=⊺⇮7817","layer":3},{"info":"⊺⇮10499⪮%⊝⊺⇮7817=⊺⇮21314","layer":2},{"info":"⊺⇮9661⨰⊺⇮2820=⊺⇮6851","layer":3},{"info":"⪲⇎⊺⇮1009=⊺⇮2018","layer":3},{"info":"⊺⇮6851⋳⪒⊺⇮2018=⊺⇮11397","layer":2},{"info":"⊺⇮21314⫡⨏⊺⇮11397=⊺⇮130147","layer":1},{"info":"⊺⇮1395⪒⊺⇮4592=⊺⇮-5987","layer":3},{"info":"⊺⇮7591≦≮≮=⊺⇮-22773","layer":3},{"info":"⊺⇮-5987⨽⊺⇮-22773=⊺⇮-107462874","layer":2},{"info":"⊺⇮1959⩷∴⊺⇮1105=⊺⇮1676","layer":3},{"info":"⊺⇮1676∧=NaN","layer":2},{"info":"⊺⇮-107462874⪄NaN=⊺⇮3979","layer":1},{"info":"⊺⇮130147⨐⩸⫘⊺⇮3979=NaN","layer":0}]}
{"id":763,"expression_no_base_symbol":"($2681$⋳⪒$3521$⨎(↽≂$3551$)⇼⇔∾(($6031$⩠)-($2384$⪨≂$1006$)))⇷(($1433$*$1970$)∑⇟⊟($1600$⩚⊴⇥$1659$)⊭↱($1938$/$7881$/$3183$⩨$2620$))","expression":"(⊺⇮2681⋳⪒⊺⇮3521⨎(↽≂⊺⇮3551)⇼⇔∾((⊺⇮6031⩠)-(⊺⇮2384⪨≂⊺⇮1006)))⇷((⊺⇮1433*⊺⇮1970)∑⇟⊟(⊺⇮1600⩚⊴⇥⊺⇮1659)⊭↱(⊺⇮1938/⊺⇮7881/⊺⇮3183⩨⊺⇮2620))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":60908,"operation_count":15,"complexity_ratio":4060.5333333333333,"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":2681,"base":10},"right_expr":{"type":"numeric_atoms","value":3521,"base":10}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":3551,"base":10}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":6031,"base":10}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2384,"base":10},"right_expr":{"type":"numeric_atoms","value":1006,"base":10}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1433,"base":10},"right_expr":{"type":"numeric_atoms","value":1970,"base":10}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1600,"base":10},"right_expr":{"type":"numeric_atoms","value":1659,"base":10}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1938,"base":10},"right_expr":{"type":"numeric_atoms","value":7881,"base":10}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3183,"base":10},"right_expr":{"type":"numeric_atoms","value":2620,"base":10}}}}},"used_operators":["mp7IySMOzn","tifHPKVTfV","rJVOvQCfKK","12rbrZMWeM","u6S6b8DprG","rysDP5nf3Z","sJAwomhLZr","sdazOOVcIp","COABgblf1C","U7g4x0WXJJ","9HNa5Wba9A","NTOWxs364D","XhwjNDsVaA","2DlMacCsIx"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2681","layer":4},{"info":"number node, value=3521","layer":4},{"info":"compute binary expreesion, left_input=2681, right_input=3521, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1554","layer":3},{"info":"number node, value=3551","layer":4},{"info":"compute unary expreesion, input=3551, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-7102","layer":3},{"info":"compute binary expreesion, left_input=1554, right_input=-7102, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-7102","layer":2},{"info":"number node, value=6031","layer":4},{"info":"compute unary expreesion, input=6031, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=2384","layer":4},{"info":"number node, value=1006","layer":4},{"info":"compute binary expreesion, left_input=2384, 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=2858","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2858, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-2858","layer":2},{"info":"compute binary expreesion, left_input=-7102, right_input=-2858, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=4244","layer":1},{"info":"number node, value=1433","layer":4},{"info":"number node, value=1970","layer":4},{"info":"compute binary expreesion, left_input=1433, right_input=1970, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2823010","layer":3},{"info":"number node, value=1600","layer":4},{"info":"number node, value=1659","layer":4},{"info":"compute binary expreesion, left_input=1600, right_input=1659, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3380","layer":3},{"info":"compute binary expreesion, left_input=2823010, right_input=-3380, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=1938","layer":4},{"info":"number node, value=7881","layer":4},{"info":"compute binary expreesion, left_input=1938, right_input=7881, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=3183","layer":4},{"info":"number node, value=2620","layer":4},{"info":"compute binary expreesion, left_input=3183, right_input=2620, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=4244, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮2681⋳⪒⊺⇮3521⨎(↽≂⊺⇮3551)⇼⇔∾((⊺⇮6031⩠)-(⊺⇮2384⪨≂⊺⇮1006)))⇷((⊺⇮1433*⊺⇮1970)∑⇟⊟(⊺⇮1600⩚⊴⇥⊺⇮1659)⊭↱(⊺⇮1938/⊺⇮7881/⊺⇮3183⩨⊺⇮2620))=NaN","reverse_text":"NaN=(⊺⇮2681⋳⪒⊺⇮3521⨎(↽≂⊺⇮3551)⇼⇔∾((⊺⇮6031⩠)-(⊺⇮2384⪨≂⊺⇮1006)))⇷((⊺⇮1433*⊺⇮1970)∑⇟⊟(⊺⇮1600⩚⊴⇥⊺⇮1659)⊭↱(⊺⇮1938/⊺⇮7881/⊺⇮3183⩨⊺⇮2620))","cot":[{"info":"⊺⇮2681⋳⪒⊺⇮3521=⊺⇮1554","layer":3},{"info":"↽≂⊺⇮3551=⊺⇮-7102","layer":3},{"info":"⊺⇮1554⨎⊺⇮-7102=⊺⇮-7102","layer":2},{"info":"⊺⇮6031⩠=⊺⇮0","layer":3},{"info":"⊺⇮2384⪨≂⊺⇮1006=⊺⇮2858","layer":3},{"info":"⊺⇮0-⊺⇮2858=⊺⇮-2858","layer":2},{"info":"⊺⇮-7102⇼⇔∾⊺⇮-2858=⊺⇮4244","layer":1},{"info":"⊺⇮1433*⊺⇮1970=⊺⇮2823010","layer":3},{"info":"⊺⇮1600⩚⊴⇥⊺⇮1659=⊺⇮-3380","layer":3},{"info":"⊺⇮2823010∑⇟⊟⊺⇮-3380=NaN","layer":2},{"info":"⊺⇮1938/⊺⇮7881=⊺⇮0","layer":3},{"info":"⊺⇮3183⩨⊺⇮2620=⊺⇮0","layer":3},{"info":"⊺⇮0/⊺⇮0=NaN","layer":2},{"info":"NaN⊭↱NaN=NaN","layer":1},{"info":"⊺⇮4244⇷NaN=NaN","layer":0}]}
{"id":764,"expression_no_base_symbol":"(≦∁$1402$)∼(↣≠⋷$4924$)∀⇚≩(⫛⫱⨽$1006$)⨪↰⇹($1732$⋳⪒$1438$)⫡⨏(⊥$4347$)⋝⋈⪟($5300$⨽$3688$)+⇶⊼($1799$⨐⩸⫘$2967$⩨(+⊝⨔$2944$))","expression":"(≦∁⊺⇮1402)∼(↣≠⋷⊺⇮4924)∀⇚≩(⫛⫱⨽⊺⇮1006)⨪↰⇹(⊺⇮1732⋳⪒⊺⇮1438)⫡⨏(⊥⊺⇮4347)⋝⋈⪟(⊺⇮5300⨽⊺⇮3688)+⇶⊼(⊺⇮1799⨐⩸⫘⊺⇮2967⩨(+⊝⨔⊺⇮2944))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":6830,"operation_count":15,"complexity_ratio":455.3333333333333,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1402,"base":10}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":4924,"base":10}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1006,"base":10}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1732,"base":10},"right_expr":{"type":"numeric_atoms","value":1438,"base":10}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":4347,"base":10}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":5300,"base":10},"right_expr":{"type":"numeric_atoms","value":3688,"base":10}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1799,"base":10},"right_expr":{"type":"numeric_atoms","value":2967,"base":10}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2944,"base":10}}}}},"used_operators":["QMFrweE19q","LRNGc0VcxI","DyGG3AbaNP","9ICcGScMcE","Asc51vEJeQ","tmPS8pqC7x","DlLNRPXxWL","12rbrZMWeM","TpPTUOHfaN","2DDjHMKMc0","Q3PJZHRvZv","8HhzD0ZcuI","2DlMacCsIx","fu6greOZ01","DhbWaqg5eL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","XhwjNDsVaA","AHs5Up7iyr","rJVOvQCfKK","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","3ViojmjbAp","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1402","layer":4},{"info":"compute unary expreesion, input=1402, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1402","layer":3},{"info":"number node, value=4924","layer":4},{"info":"compute unary expreesion, input=4924, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1402, 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=1006","layer":4},{"info":"compute unary expreesion, input=1006, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=1732","layer":4},{"info":"number node, value=1438","layer":4},{"info":"compute binary expreesion, left_input=1732, right_input=1438, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1739","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1739, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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 = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=4347","layer":4},{"info":"compute unary expreesion, input=4347, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=5300","layer":4},{"info":"number node, value=3688","layer":4},{"info":"compute binary expreesion, left_input=5300, right_input=3688, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-84279750","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-84279750, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=1799","layer":4},{"info":"number node, value=2967","layer":4},{"info":"compute binary expreesion, left_input=1799, right_input=2967, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=2944","layer":4},{"info":"compute unary expreesion, input=2944, 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 = 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 = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = 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":10,"result_base":10,"text":"(≦∁⊺⇮1402)∼(↣≠⋷⊺⇮4924)∀⇚≩(⫛⫱⨽⊺⇮1006)⨪↰⇹(⊺⇮1732⋳⪒⊺⇮1438)⫡⨏(⊥⊺⇮4347)⋝⋈⪟(⊺⇮5300⨽⊺⇮3688)+⇶⊼(⊺⇮1799⨐⩸⫘⊺⇮2967⩨(+⊝⨔⊺⇮2944))=NaN","reverse_text":"NaN=(≦∁⊺⇮1402)∼(↣≠⋷⊺⇮4924)∀⇚≩(⫛⫱⨽⊺⇮1006)⨪↰⇹(⊺⇮1732⋳⪒⊺⇮1438)⫡⨏(⊥⊺⇮4347)⋝⋈⪟(⊺⇮5300⨽⊺⇮3688)+⇶⊼(⊺⇮1799⨐⩸⫘⊺⇮2967⩨(+⊝⨔⊺⇮2944))","cot":[{"info":"≦∁⊺⇮1402=⊺⇮1402","layer":3},{"info":"↣≠⋷⊺⇮4924=NaN","layer":3},{"info":"⊺⇮1402∼NaN=NaN","layer":2},{"info":"⫛⫱⨽⊺⇮1006=⊺⇮0","layer":3},{"info":"⊺⇮1732⋳⪒⊺⇮1438=⊺⇮1739","layer":3},{"info":"⊺⇮0⨪↰⇹⊺⇮1739=⊺⇮0","layer":2},{"info":"NaN∀⇚≩⊺⇮0=NaN","layer":1},{"info":"⊥⊺⇮4347=NaN","layer":3},{"info":"⊺⇮5300⨽⊺⇮3688=⊺⇮-84279750","layer":3},{"info":"NaN⋝⋈⪟⊺⇮-84279750=NaN","layer":2},{"info":"⊺⇮1799⨐⩸⫘⊺⇮2967=NaN","layer":3},{"info":"+⊝⨔⊺⇮2944=⊺⇮1522","layer":3},{"info":"NaN⩨⊺⇮1522=NaN","layer":2},{"info":"NaN+⇶⊼NaN=NaN","layer":1},{"info":"NaN⫡⨏NaN=NaN","layer":0}]}
{"id":765,"expression_no_base_symbol":"($1100$⫥∨⫟$6153$)∼($1485$↬$1099$)≎⊠⪸(($8796$⊭∹↮)⩤)∲⫓(↯⪼($1156$⋝⋈⪟$2317$⋓($6681$⋷$3259$)))","expression":"(⊺⇮1100⫥∨⫟⊺⇮6153)∼(⊺⇮1485↬⊺⇮1099)≎⊠⪸((⊺⇮8796⊭∹↮)⩤)∲⫓(↯⪼(⊺⇮1156⋝⋈⪟⊺⇮2317⋓(⊺⇮6681⋷⊺⇮3259)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":227,"operation_count":11,"complexity_ratio":20.636363636363637,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1100,"base":10},"right_expr":{"type":"numeric_atoms","value":6153,"base":10}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1485,"base":10},"right_expr":{"type":"numeric_atoms","value":1099,"base":10}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":8796,"base":10}}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1156,"base":10},"right_expr":{"type":"numeric_atoms","value":2317,"base":10}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":6681,"base":10},"right_expr":{"type":"numeric_atoms","value":3259,"base":10}}}}},"used_operators":["i8ToyICDmI","bJkvcejdHO","DyGG3AbaNP","KYD54nUTWz","B5M0gjZbta","Z2TMIBDE3Q","xNBdhnnwKq","8jW3W4yZS5","T2fj7uvVaJ","2DDjHMKMc0","23Mk6UjR3U"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮67","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1100","layer":4},{"info":"number node, value=6153","layer":4},{"info":"compute binary expreesion, left_input=1100, right_input=6153, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1485","layer":4},{"info":"number node, value=1099","layer":4},{"info":"compute binary expreesion, left_input=1485, right_input=1099, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = 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=8796","layer":4},{"info":"compute unary expreesion, input=8796, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=17592","layer":3},{"info":"compute unary expreesion, input=17592, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-17592","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-17592, 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=1156","layer":4},{"info":"number node, value=2317","layer":4},{"info":"compute binary expreesion, left_input=1156, right_input=2317, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1156","layer":3},{"info":"number node, value=6681","layer":4},{"info":"number node, value=3259","layer":4},{"info":"compute binary expreesion, left_input=6681, right_input=3259, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-163","layer":3},{"info":"compute binary expreesion, left_input=1156, right_input=-163, op_id = T2fj7uvVaJ binary_op_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=67, right_input=-21, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=67","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1100⫥∨⫟⊺⇮6153)∼(⊺⇮1485↬⊺⇮1099)≎⊠⪸((⊺⇮8796⊭∹↮)⩤)∲⫓(↯⪼(⊺⇮1156⋝⋈⪟⊺⇮2317⋓(⊺⇮6681⋷⊺⇮3259)))=⊺⇮67","reverse_text":"⊺⇮67=(⊺⇮1100⫥∨⫟⊺⇮6153)∼(⊺⇮1485↬⊺⇮1099)≎⊠⪸((⊺⇮8796⊭∹↮)⩤)∲⫓(↯⪼(⊺⇮1156⋝⋈⪟⊺⇮2317⋓(⊺⇮6681⋷⊺⇮3259)))","cot":[{"info":"⊺⇮1100⫥∨⫟⊺⇮6153=NaN","layer":3},{"info":"⊺⇮1485↬⊺⇮1099=NaN","layer":3},{"info":"NaN∼NaN=NaN","layer":2},{"info":"⊺⇮8796⊭∹↮=⊺⇮17592","layer":3},{"info":"⊺⇮17592⩤=⊺⇮-17592","layer":2},{"info":"NaN≎⊠⪸⊺⇮-17592=⊺⇮67","layer":1},{"info":"⊺⇮1156⋝⋈⪟⊺⇮2317=⊺⇮1156","layer":3},{"info":"⊺⇮6681⋷⊺⇮3259=⊺⇮-163","layer":3},{"info":"⊺⇮1156⋓⊺⇮-163=⊺⇮0","layer":2},{"info":"↯⪼⊺⇮0=⊺⇮-21","layer":1},{"info":"⊺⇮67∲⫓⊺⇮-21=⊺⇮67","layer":0}]}
{"id":766,"expression_no_base_symbol":"((($2484$⨵⪆$6046$)⋥≓≎$6962$≭$2595$)⨽($2062$⊦⊿)∼($3605$/$6097$))≧⫂∧((⨑⩽⪐$2839$)⨽($4366$⨁⊸⫻)⫡⨏(⨈⫕$2924$)⨎($5000$∸))","expression":"(((⊺⇮2484⨵⪆⊺⇮6046)⋥≓≎⊺⇮6962≭⊺⇮2595)⨽(⊺⇮2062⊦⊿)∼(⊺⇮3605/⊺⇮6097))≧⫂∧((⨑⩽⪐⊺⇮2839)⨽(⊺⇮4366⨁⊸⫻)⫡⨏(⨈⫕⊺⇮2924)⨎(⊺⇮5000∸))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3319,"operation_count":15,"complexity_ratio":221.26666666666668,"tree":{"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":10},"right_expr":{"type":"numeric_atoms","value":6046,"base":10}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":6962,"base":10},"right_expr":{"type":"numeric_atoms","value":2595,"base":10}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":2062,"base":10}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3605,"base":10},"right_expr":{"type":"numeric_atoms","value":6097,"base":10}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2839,"base":10}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":4366,"base":10}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2924,"base":10}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":5000,"base":10}}}}},"used_operators":["Ph9nP6C5qx","8HhzD0ZcuI","Qy55tPpLXF","2DQ55sFlQl","rxpJgHHUmx","DyGG3AbaNP","14qkJME0vr","XhwjNDsVaA","QMFrweE19q","AF7qkfDlqP","glklzrTFfD","rJVOvQCfKK","megm06wKyl","o20kRiQErp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2484","layer":4},{"info":"number node, value=6046","layer":4},{"info":"compute binary expreesion, left_input=2484, right_input=6046, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=6962","layer":4},{"info":"number node, value=2595","layer":4},{"info":"compute binary expreesion, left_input=6962, right_input=2595, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=nan","layer":2},{"info":"number node, value=2062","layer":4},{"info":"compute unary expreesion, input=2062, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-6265","layer":3},{"info":"number node, value=3605","layer":4},{"info":"number node, value=6097","layer":4},{"info":"compute binary expreesion, left_input=3605, right_input=6097, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=-6265, 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=nan, right_input=20, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"number node, value=2839","layer":4},{"info":"compute unary expreesion, input=2839, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2566","layer":3},{"info":"number node, value=4366","layer":4},{"info":"compute unary expreesion, input=4366, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=4366","layer":3},{"info":"compute binary expreesion, left_input=-2566, right_input=4366, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-19764852","layer":2},{"info":"number node, value=2924","layer":4},{"info":"compute unary expreesion, input=2924, 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=5000","layer":4},{"info":"compute unary expreesion, input=5000, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=177, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=177","layer":2},{"info":"compute binary expreesion, left_input=-19764852, right_input=177, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-98823123","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-98823123, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮2484⨵⪆⊺⇮6046)⋥≓≎⊺⇮6962≭⊺⇮2595)⨽(⊺⇮2062⊦⊿)∼(⊺⇮3605/⊺⇮6097))≧⫂∧((⨑⩽⪐⊺⇮2839)⨽(⊺⇮4366⨁⊸⫻)⫡⨏(⨈⫕⊺⇮2924)⨎(⊺⇮5000∸))=NaN","reverse_text":"NaN=(((⊺⇮2484⨵⪆⊺⇮6046)⋥≓≎⊺⇮6962≭⊺⇮2595)⨽(⊺⇮2062⊦⊿)∼(⊺⇮3605/⊺⇮6097))≧⫂∧((⨑⩽⪐⊺⇮2839)⨽(⊺⇮4366⨁⊸⫻)⫡⨏(⨈⫕⊺⇮2924)⨎(⊺⇮5000∸))","cot":[{"info":"⊺⇮2484⨵⪆⊺⇮6046=⊺⇮160","layer":3},{"info":"⊺⇮6962≭⊺⇮2595=NaN","layer":3},{"info":"⊺⇮160⋥≓≎NaN=NaN","layer":2},{"info":"⊺⇮2062⊦⊿=⊺⇮-6265","layer":3},{"info":"⊺⇮3605/⊺⇮6097=⊺⇮0","layer":3},{"info":"⊺⇮-6265∼⊺⇮0=⊺⇮20","layer":2},{"info":"NaN⨽⊺⇮20=NaN","layer":1},{"info":"⨑⩽⪐⊺⇮2839=⊺⇮-2566","layer":3},{"info":"⊺⇮4366⨁⊸⫻=⊺⇮4366","layer":3},{"info":"⊺⇮-2566⨽⊺⇮4366=⊺⇮-19764852","layer":2},{"info":"⨈⫕⊺⇮2924=⊺⇮-21","layer":3},{"info":"⊺⇮5000∸=⊺⇮177","layer":3},{"info":"⊺⇮-21⨎⊺⇮177=⊺⇮177","layer":2},{"info":"⊺⇮-19764852⫡⨏⊺⇮177=⊺⇮-98823123","layer":1},{"info":"NaN≧⫂∧⊺⇮-98823123=NaN","layer":0}]}
{"id":767,"expression_no_base_symbol":"(↩($4422$⨳⩥⨓$2302$)+⇶⊼($8745$⪨≂$4026$))⫥∨⫟(⪝⪂⫅($1292$⨓$1939$))⩚⊴⇥(-$2720$⋝⋈⪟$2533$)","expression":"(↩(⊺⇮4422⨳⩥⨓⊺⇮2302)+⇶⊼(⊺⇮8745⪨≂⊺⇮4026))⫥∨⫟(⪝⪂⫅(⊺⇮1292⨓⊺⇮1939))⩚⊴⇥(-⊺⇮2720⋝⋈⪟⊺⇮2533)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2284,"operation_count":10,"complexity_ratio":228.4,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4422,"base":10},"right_expr":{"type":"numeric_atoms","value":2302,"base":10}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":8745,"base":10},"right_expr":{"type":"numeric_atoms","value":4026,"base":10}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1292,"base":10},"right_expr":{"type":"numeric_atoms","value":1939,"base":10}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2720,"base":10},"right_expr":{"type":"numeric_atoms","value":2533,"base":10}}}}},"used_operators":["KYD54nUTWz","jLgFTUHLKL","TpPTUOHfaN","nCS4ZIUYfx","sdazOOVcIp","NTOWxs364D","XTarYq4gQB","3ViojmjbAp","t8gj7n24qd","2DDjHMKMc0"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","8w2t5hMYqp","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4422","layer":4},{"info":"number node, value=2302","layer":4},{"info":"compute binary expreesion, left_input=4422, right_input=2302, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2120","layer":3},{"info":"number node, value=8745","layer":4},{"info":"number node, value=4026","layer":4},{"info":"compute binary expreesion, left_input=8745, right_input=4026, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=9540","layer":3},{"info":"compute binary expreesion, left_input=-2120, right_input=9540, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = 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=1292","layer":4},{"info":"number node, value=1939","layer":4},{"info":"compute binary expreesion, left_input=1292, right_input=1939, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1942","layer":3},{"info":"compute unary expreesion, input=-1942, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=285474","layer":2},{"info":"number node, value=2720","layer":4},{"info":"number node, value=2533","layer":4},{"info":"compute binary expreesion, left_input=2720, right_input=2533, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2720","layer":3},{"info":"compute unary expreesion, input=2720, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2720","layer":2},{"info":"compute binary expreesion, left_input=285474, right_input=-2720, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-282875","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-282875, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(↩(⊺⇮4422⨳⩥⨓⊺⇮2302)+⇶⊼(⊺⇮8745⪨≂⊺⇮4026))⫥∨⫟(⪝⪂⫅(⊺⇮1292⨓⊺⇮1939))⩚⊴⇥(-⊺⇮2720⋝⋈⪟⊺⇮2533)=NaN","reverse_text":"NaN=(↩(⊺⇮4422⨳⩥⨓⊺⇮2302)+⇶⊼(⊺⇮8745⪨≂⊺⇮4026))⫥∨⫟(⪝⪂⫅(⊺⇮1292⨓⊺⇮1939))⩚⊴⇥(-⊺⇮2720⋝⋈⪟⊺⇮2533)","cot":[{"info":"⊺⇮4422⨳⩥⨓⊺⇮2302=⊺⇮-2120","layer":3},{"info":"⊺⇮8745⪨≂⊺⇮4026=⊺⇮9540","layer":3},{"info":"⊺⇮-2120+⇶⊼⊺⇮9540=NaN","layer":2},{"info":"↩NaN=NaN","layer":1},{"info":"⊺⇮1292⨓⊺⇮1939=⊺⇮-1942","layer":3},{"info":"⪝⪂⫅⊺⇮-1942=⊺⇮285474","layer":2},{"info":"⊺⇮2720⋝⋈⪟⊺⇮2533=⊺⇮2720","layer":3},{"info":"-⊺⇮2720=⊺⇮-2720","layer":2},{"info":"⊺⇮285474⩚⊴⇥⊺⇮-2720=⊺⇮-282875","layer":1},{"info":"NaN⫥∨⫟⊺⇮-282875=NaN","layer":0}]}
{"id":768,"expression_no_base_symbol":"(($1625$∑⇟⊟$4132$+$1646$≭$5733$)⪄($1061$⋫)⋥≓≎$1258$≭$5440$)∧","expression":"((⊺⇮1625∑⇟⊟⊺⇮4132+⊺⇮1646≭⊺⇮5733)⪄(⊺⇮1061⋫)⋥≓≎⊺⇮1258≭⊺⇮5440)∧","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1096,"operation_count":8,"complexity_ratio":137.0,"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":1625,"base":10},"right_expr":{"type":"numeric_atoms","value":4132,"base":10}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1646,"base":10},"right_expr":{"type":"numeric_atoms","value":5733,"base":10}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1061,"base":10}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1258,"base":10},"right_expr":{"type":"numeric_atoms","value":5440,"base":10}}}}},"used_operators":["z63VuFQld9","SUmda5xLS4","W4YGzv6Whe","U7g4x0WXJJ","rxpJgHHUmx","Qy55tPpLXF","JL8yIekQnl"],"dependent_operators":["B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=1625","layer":4},{"info":"number node, value=4132","layer":4},{"info":"compute binary expreesion, left_input=1625, right_input=4132, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1646","layer":4},{"info":"number node, value=5733","layer":4},{"info":"compute binary expreesion, left_input=1646, right_input=5733, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=1061","layer":4},{"info":"compute unary expreesion, input=1061, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1061","layer":3},{"info":"number node, value=1258","layer":4},{"info":"number node, value=5440","layer":4},{"info":"compute binary expreesion, left_input=1258, right_input=5440, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=1061, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=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 unary expreesion, input=3979, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1625∑⇟⊟⊺⇮4132+⊺⇮1646≭⊺⇮5733)⪄(⊺⇮1061⋫)⋥≓≎⊺⇮1258≭⊺⇮5440)∧=NaN","reverse_text":"NaN=((⊺⇮1625∑⇟⊟⊺⇮4132+⊺⇮1646≭⊺⇮5733)⪄(⊺⇮1061⋫)⋥≓≎⊺⇮1258≭⊺⇮5440)∧","cot":[{"info":"⊺⇮1625∑⇟⊟⊺⇮4132=NaN","layer":3},{"info":"⊺⇮1646≭⊺⇮5733=NaN","layer":3},{"info":"NaN+NaN=NaN","layer":2},{"info":"⊺⇮1061⋫=⊺⇮1061","layer":3},{"info":"⊺⇮1258≭⊺⇮5440=NaN","layer":3},{"info":"⊺⇮1061⋥≓≎NaN=NaN","layer":2},{"info":"NaN⪄NaN=⊺⇮3979","layer":1},{"info":"⊺⇮3979∧=NaN","layer":0}]}
{"id":769,"expression_no_base_symbol":"((↩$2287$)≎⊠⪸(↯⪼$2485$)↺($4407$↺$4376$⪒$5021$∼$1456$))∀⇚≩(($5335$≹⇙⪍$4639$↺$1201$⨓$5129$)⋥≓≎($8475$⪒$1193$)⨓(⪲⇎$6009$))","expression":"((↩⊺⇮2287)≎⊠⪸(↯⪼⊺⇮2485)↺(⊺⇮4407↺⊺⇮4376⪒⊺⇮5021∼⊺⇮1456))∀⇚≩((⊺⇮5335≹⇙⪍⊺⇮4639↺⊺⇮1201⨓⊺⇮5129)⋥≓≎(⊺⇮8475⪒⊺⇮1193)⨓(⪲⇎⊺⇮6009))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":17595,"operation_count":15,"complexity_ratio":1173.0,"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":2287,"base":10}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2485,"base":10}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":4407,"base":10},"right_expr":{"type":"numeric_atoms","value":4376,"base":10}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5021,"base":10},"right_expr":{"type":"numeric_atoms","value":1456,"base":10}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5335,"base":10},"right_expr":{"type":"numeric_atoms","value":4639,"base":10}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1201,"base":10},"right_expr":{"type":"numeric_atoms","value":5129,"base":10}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":8475,"base":10},"right_expr":{"type":"numeric_atoms","value":1193,"base":10}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":6009,"base":10}}}}},"used_operators":["LRNGc0VcxI","7j4O788W3g","bJkvcejdHO","jLgFTUHLKL","8jW3W4yZS5","f6k1SAg4EE","DyGG3AbaNP","Qy55tPpLXF","AHs5Up7iyr","3ViojmjbAp","XPYlsWDdGa"],"dependent_operators":["X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2287","layer":4},{"info":"compute unary expreesion, input=2287, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-15516","layer":3},{"info":"number node, value=2485","layer":4},{"info":"compute unary expreesion, input=2485, 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=-15516, right_input=-21, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=4018644","layer":2},{"info":"number node, value=4407","layer":4},{"info":"number node, value=4376","layer":4},{"info":"compute binary expreesion, left_input=4407, right_input=4376, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4376","layer":3},{"info":"number node, value=5021","layer":4},{"info":"number node, value=1456","layer":4},{"info":"compute binary expreesion, left_input=5021, right_input=1456, 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=4376, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4018644, 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=5335","layer":4},{"info":"number node, value=4639","layer":4},{"info":"compute binary expreesion, left_input=5335, right_input=4639, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=1201","layer":4},{"info":"number node, value=5129","layer":4},{"info":"compute binary expreesion, left_input=1201, right_input=5129, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5132","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5132, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-5132","layer":2},{"info":"number node, value=8475","layer":4},{"info":"number node, value=1193","layer":4},{"info":"compute binary expreesion, left_input=8475, right_input=1193, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-9668","layer":3},{"info":"number node, value=6009","layer":4},{"info":"compute unary expreesion, input=6009, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=12018","layer":3},{"info":"compute binary expreesion, left_input=-9668, right_input=12018, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-12021","layer":2},{"info":"compute binary expreesion, left_input=-5132, right_input=-12021, 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 = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":10,"result_base":10,"text":"((↩⊺⇮2287)≎⊠⪸(↯⪼⊺⇮2485)↺(⊺⇮4407↺⊺⇮4376⪒⊺⇮5021∼⊺⇮1456))∀⇚≩((⊺⇮5335≹⇙⪍⊺⇮4639↺⊺⇮1201⨓⊺⇮5129)⋥≓≎(⊺⇮8475⪒⊺⇮1193)⨓(⪲⇎⊺⇮6009))=NaN","reverse_text":"NaN=((↩⊺⇮2287)≎⊠⪸(↯⪼⊺⇮2485)↺(⊺⇮4407↺⊺⇮4376⪒⊺⇮5021∼⊺⇮1456))∀⇚≩((⊺⇮5335≹⇙⪍⊺⇮4639↺⊺⇮1201⨓⊺⇮5129)⋥≓≎(⊺⇮8475⪒⊺⇮1193)⨓(⪲⇎⊺⇮6009))","cot":[{"info":"↩⊺⇮2287=⊺⇮-15516","layer":3},{"info":"↯⪼⊺⇮2485=⊺⇮-21","layer":3},{"info":"⊺⇮-15516≎⊠⪸⊺⇮-21=⊺⇮4018644","layer":2},{"info":"⊺⇮4407↺⊺⇮4376=⊺⇮4376","layer":3},{"info":"⊺⇮5021∼⊺⇮1456=NaN","layer":3},{"info":"⊺⇮4376⪒NaN=NaN","layer":2},{"info":"⊺⇮4018644↺NaN=NaN","layer":1},{"info":"⊺⇮5335≹⇙⪍⊺⇮4639=NaN","layer":3},{"info":"⊺⇮1201⨓⊺⇮5129=⊺⇮-5132","layer":3},{"info":"NaN↺⊺⇮-5132=⊺⇮-5132","layer":2},{"info":"⊺⇮8475⪒⊺⇮1193=⊺⇮-9668","layer":3},{"info":"⪲⇎⊺⇮6009=⊺⇮12018","layer":3},{"info":"⊺⇮-9668⨓⊺⇮12018=⊺⇮-12021","layer":2},{"info":"⊺⇮-5132⋥≓≎⊺⇮-12021=⊺⇮67","layer":1},{"info":"NaN∀⇚≩⊺⇮67=NaN","layer":0}]}
{"id":770,"expression_no_base_symbol":"($2715$⩷∴$1184$/$1516$⪒$9664$)⩷∴(⪲⇎(↥$2051$))⫥∨⫟($1244$⋷$1591$)∑⇟⊟($3517$∑⇟⊟$2632$)≧⫂∧($2208$⋝⋈⪟$3831$⊭∹↮)","expression":"(⊺⇮2715⩷∴⊺⇮1184/⊺⇮1516⪒⊺⇮9664)⩷∴(⪲⇎(↥⊺⇮2051))⫥∨⫟(⊺⇮1244⋷⊺⇮1591)∑⇟⊟(⊺⇮3517∑⇟⊟⊺⇮2632)≧⫂∧(⊺⇮2208⋝⋈⪟⊺⇮3831⊭∹↮)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":227,"operation_count":13,"complexity_ratio":17.46153846153846,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2715,"base":10},"right_expr":{"type":"numeric_atoms","value":1184,"base":10}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1516,"base":10},"right_expr":{"type":"numeric_atoms","value":9664,"base":10}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2051,"base":10}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1244,"base":10},"right_expr":{"type":"numeric_atoms","value":1591,"base":10}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3517,"base":10},"right_expr":{"type":"numeric_atoms","value":2632,"base":10}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2208,"base":10},"right_expr":{"type":"numeric_atoms","value":3831,"base":10}}}}},"used_operators":["KYD54nUTWz","9FxExcQeMw","XhwjNDsVaA","f6k1SAg4EE","XPYlsWDdGa","A8NUZmVepG","Ph9nP6C5qx","U7g4x0WXJJ","23Mk6UjR3U","xNBdhnnwKq","2DDjHMKMc0"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2715","layer":4},{"info":"number node, value=1184","layer":4},{"info":"compute binary expreesion, left_input=2715, right_input=1184, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=3030","layer":3},{"info":"number node, value=1516","layer":4},{"info":"number node, value=9664","layer":4},{"info":"compute binary expreesion, left_input=1516, right_input=9664, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-11180","layer":3},{"info":"compute binary expreesion, left_input=3030, right_input=-11180, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":2},{"info":"number node, value=2051","layer":4},{"info":"compute unary expreesion, input=2051, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=11","layer":3},{"info":"compute unary expreesion, input=11, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=22","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=22, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-78","layer":1},{"info":"number node, value=1244","layer":4},{"info":"number node, value=1591","layer":4},{"info":"compute binary expreesion, left_input=1244, right_input=1591, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1938","layer":3},{"info":"number node, value=3517","layer":4},{"info":"number node, value=2632","layer":4},{"info":"compute binary expreesion, left_input=3517, right_input=2632, 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=1938, 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=2208","layer":4},{"info":"number node, value=3831","layer":4},{"info":"compute binary expreesion, left_input=2208, right_input=3831, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2208","layer":3},{"info":"compute unary expreesion, input=2208, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=4416","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4416, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3943","layer":1},{"info":"compute binary expreesion, left_input=-78, right_input=3943, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮2715⩷∴⊺⇮1184/⊺⇮1516⪒⊺⇮9664)⩷∴(⪲⇎(↥⊺⇮2051))⫥∨⫟(⊺⇮1244⋷⊺⇮1591)∑⇟⊟(⊺⇮3517∑⇟⊟⊺⇮2632)≧⫂∧(⊺⇮2208⋝⋈⪟⊺⇮3831⊭∹↮)=NaN","reverse_text":"NaN=(⊺⇮2715⩷∴⊺⇮1184/⊺⇮1516⪒⊺⇮9664)⩷∴(⪲⇎(↥⊺⇮2051))⫥∨⫟(⊺⇮1244⋷⊺⇮1591)∑⇟⊟(⊺⇮3517∑⇟⊟⊺⇮2632)≧⫂∧(⊺⇮2208⋝⋈⪟⊺⇮3831⊭∹↮)","cot":[{"info":"⊺⇮2715⩷∴⊺⇮1184=⊺⇮3030","layer":3},{"info":"⊺⇮1516⪒⊺⇮9664=⊺⇮-11180","layer":3},{"info":"⊺⇮3030/⊺⇮-11180=⊺⇮-1","layer":2},{"info":"↥⊺⇮2051=⊺⇮11","layer":3},{"info":"⪲⇎⊺⇮11=⊺⇮22","layer":2},{"info":"⊺⇮-1⩷∴⊺⇮22=⊺⇮-78","layer":1},{"info":"⊺⇮1244⋷⊺⇮1591=⊺⇮1938","layer":3},{"info":"⊺⇮3517∑⇟⊟⊺⇮2632=NaN","layer":3},{"info":"⊺⇮1938∑⇟⊟NaN=NaN","layer":2},{"info":"⊺⇮2208⋝⋈⪟⊺⇮3831=⊺⇮2208","layer":3},{"info":"⊺⇮2208⊭∹↮=⊺⇮4416","layer":2},{"info":"NaN≧⫂∧⊺⇮4416=⊺⇮3943","layer":1},{"info":"⊺⇮-78⫥∨⫟⊺⇮3943=NaN","layer":0}]}
{"id":771,"expression_no_base_symbol":"(($1632$≣⋋)∀⇚≩($5516$⋓$3998$))⨟⋌⩍(⫛⫱⨽($4252$∑⇟⊟$2702$))+⇶⊼(($1871$⪨≂$1299$)⩷∴$3110$∑⇟⊟$1238$⫥∨⫟($1816$↛⩡⫤)∼($6578$∑⇟⊟$2312$))","expression":"((⊺⇮1632≣⋋)∀⇚≩(⊺⇮5516⋓⊺⇮3998))⨟⋌⩍(⫛⫱⨽(⊺⇮4252∑⇟⊟⊺⇮2702))+⇶⊼((⊺⇮1871⪨≂⊺⇮1299)⩷∴⊺⇮3110∑⇟⊟⊺⇮1238⫥∨⫟(⊺⇮1816↛⩡⫤)∼(⊺⇮6578∑⇟⊟⊺⇮2312))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":12494,"operation_count":14,"complexity_ratio":892.4285714285714,"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":1632,"base":10}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":5516,"base":10},"right_expr":{"type":"numeric_atoms","value":3998,"base":10}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":4252,"base":10},"right_expr":{"type":"numeric_atoms","value":2702,"base":10}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1871,"base":10},"right_expr":{"type":"numeric_atoms","value":1299,"base":10}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3110,"base":10},"right_expr":{"type":"numeric_atoms","value":1238,"base":10}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1816,"base":10}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":6578,"base":10},"right_expr":{"type":"numeric_atoms","value":2312,"base":10}}}}},"used_operators":["TpPTUOHfaN","rGHVDoGpnC","LRNGc0VcxI","Tcnh7f0tEr","T2fj7uvVaJ","DlLNRPXxWL","U7g4x0WXJJ","KYD54nUTWz","9FxExcQeMw","sdazOOVcIp","DyGG3AbaNP","FU0Cs4j7VP"],"dependent_operators":["AHs5Up7iyr","Tcnh7f0tEr","X99M06cbEe","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rGHVDoGpnC","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1632","layer":4},{"info":"compute unary expreesion, input=1632, 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=5516","layer":4},{"info":"number node, value=3998","layer":4},{"info":"compute binary expreesion, left_input=5516, right_input=3998, op_id = T2fj7uvVaJ binary_op_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 = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=0","layer":2},{"info":"number node, value=4252","layer":4},{"info":"number node, value=2702","layer":4},{"info":"compute binary expreesion, left_input=4252, right_input=2702, 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 = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=1871","layer":4},{"info":"number node, value=1299","layer":4},{"info":"compute binary expreesion, left_input=1871, right_input=1299, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=1246","layer":3},{"info":"number node, value=3110","layer":4},{"info":"number node, value=1238","layer":4},{"info":"compute binary expreesion, left_input=3110, right_input=1238, 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=1246, 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=1816","layer":4},{"info":"compute unary expreesion, input=1816, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-270305","layer":3},{"info":"number node, value=6578","layer":4},{"info":"number node, value=2312","layer":4},{"info":"compute binary expreesion, left_input=6578, right_input=2312, 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=-270305, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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 = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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":10,"result_base":10,"text":"((⊺⇮1632≣⋋)∀⇚≩(⊺⇮5516⋓⊺⇮3998))⨟⋌⩍(⫛⫱⨽(⊺⇮4252∑⇟⊟⊺⇮2702))+⇶⊼((⊺⇮1871⪨≂⊺⇮1299)⩷∴⊺⇮3110∑⇟⊟⊺⇮1238⫥∨⫟(⊺⇮1816↛⩡⫤)∼(⊺⇮6578∑⇟⊟⊺⇮2312))=NaN","reverse_text":"NaN=((⊺⇮1632≣⋋)∀⇚≩(⊺⇮5516⋓⊺⇮3998))⨟⋌⩍(⫛⫱⨽(⊺⇮4252∑⇟⊟⊺⇮2702))+⇶⊼((⊺⇮1871⪨≂⊺⇮1299)⩷∴⊺⇮3110∑⇟⊟⊺⇮1238⫥∨⫟(⊺⇮1816↛⩡⫤)∼(⊺⇮6578∑⇟⊟⊺⇮2312))","cot":[{"info":"⊺⇮1632≣⋋=⊺⇮0","layer":3},{"info":"⊺⇮5516⋓⊺⇮3998=⊺⇮0","layer":3},{"info":"⊺⇮0∀⇚≩⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮4252∑⇟⊟⊺⇮2702=NaN","layer":3},{"info":"⫛⫱⨽NaN=NaN","layer":2},{"info":"⊺⇮0⨟⋌⩍NaN=NaN","layer":1},{"info":"⊺⇮1871⪨≂⊺⇮1299=⊺⇮1246","layer":3},{"info":"⊺⇮3110∑⇟⊟⊺⇮1238=NaN","layer":3},{"info":"⊺⇮1246⩷∴NaN=NaN","layer":2},{"info":"⊺⇮1816↛⩡⫤=⊺⇮-270305","layer":3},{"info":"⊺⇮6578∑⇟⊟⊺⇮2312=NaN","layer":3},{"info":"⊺⇮-270305∼NaN=NaN","layer":2},{"info":"NaN⫥∨⫟NaN=NaN","layer":1},{"info":"NaN+⇶⊼NaN=NaN","layer":0}]}
{"id":772,"expression_no_base_symbol":"⪝⪂⫅(⫛⫱⨽($7209$∀⇚≩$1019$⊦⊿))","expression":"⪝⪂⫅(⫛⫱⨽(⊺⇮7209∀⇚≩⊺⇮1019⊦⊿))","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":51385,"operation_count":4,"complexity_ratio":12846.25,"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":7209,"base":10},"right_expr":{"type":"numeric_atoms","value":1019,"base":10}}}}},"used_operators":["XTarYq4gQB","DlLNRPXxWL","14qkJME0vr","LRNGc0VcxI"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=7209","layer":4},{"info":"number node, value=1019","layer":4},{"info":"compute binary expreesion, left_input=7209, right_input=1019, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⪝⪂⫅(⫛⫱⨽(⊺⇮7209∀⇚≩⊺⇮1019⊦⊿))=NaN","reverse_text":"NaN=⪝⪂⫅(⫛⫱⨽(⊺⇮7209∀⇚≩⊺⇮1019⊦⊿))","cot":[{"info":"⊺⇮7209∀⇚≩⊺⇮1019=NaN","layer":3},{"info":"NaN⊦⊿=NaN","layer":2},{"info":"⫛⫱⨽NaN=NaN","layer":1},{"info":"⪝⪂⫅NaN=NaN","layer":0}]}
{"id":773,"expression_no_base_symbol":"((↣≠⋷($1561$⇷$4189$))⊉≛↸($3769$+⇶⊼$4089$⊭↱($2317$⫡⨏$5050$)))⨎(($1130$⊦⊿)≧⫂∧($5986$+⇶⊼$1196$)↛⩡⫤)","expression":"((↣≠⋷(⊺⇮1561⇷⊺⇮4189))⊉≛↸(⊺⇮3769+⇶⊼⊺⇮4089⊭↱(⊺⇮2317⫡⨏⊺⇮5050)))⨎((⊺⇮1130⊦⊿)≧⫂∧(⊺⇮5986+⇶⊼⊺⇮1196)↛⩡⫤)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":21951,"operation_count":11,"complexity_ratio":1995.5454545454545,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1561,"base":10},"right_expr":{"type":"numeric_atoms","value":4189,"base":10}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3769,"base":10},"right_expr":{"type":"numeric_atoms","value":4089,"base":10}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2317,"base":10},"right_expr":{"type":"numeric_atoms","value":5050,"base":10}}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1130,"base":10}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":5986,"base":10},"right_expr":{"type":"numeric_atoms","value":1196,"base":10}}}}},"used_operators":["rJVOvQCfKK","DZ8iAZOCBD","Asc51vEJeQ","mp7IySMOzn","COABgblf1C","TpPTUOHfaN","QMFrweE19q","FU0Cs4j7VP","Ph9nP6C5qx","14qkJME0vr"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1561","layer":4},{"info":"number node, value=4189","layer":4},{"info":"compute binary expreesion, left_input=1561, right_input=4189, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=8378","layer":3},{"info":"compute unary expreesion, input=8378, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=3769","layer":4},{"info":"number node, value=4089","layer":4},{"info":"compute binary expreesion, left_input=3769, right_input=4089, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=2317","layer":4},{"info":"number node, value=5050","layer":4},{"info":"compute binary expreesion, left_input=2317, right_input=5050, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=22468","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=22468, 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 = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":1},{"info":"number node, value=1130","layer":4},{"info":"compute unary expreesion, input=1130, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-3469","layer":3},{"info":"number node, value=5986","layer":4},{"info":"number node, value=1196","layer":4},{"info":"compute binary expreesion, left_input=5986, right_input=1196, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=-3469, 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 = 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 = 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":10,"result_base":10,"text":"((↣≠⋷(⊺⇮1561⇷⊺⇮4189))⊉≛↸(⊺⇮3769+⇶⊼⊺⇮4089⊭↱(⊺⇮2317⫡⨏⊺⇮5050)))⨎((⊺⇮1130⊦⊿)≧⫂∧(⊺⇮5986+⇶⊼⊺⇮1196)↛⩡⫤)=NaN","reverse_text":"NaN=((↣≠⋷(⊺⇮1561⇷⊺⇮4189))⊉≛↸(⊺⇮3769+⇶⊼⊺⇮4089⊭↱(⊺⇮2317⫡⨏⊺⇮5050)))⨎((⊺⇮1130⊦⊿)≧⫂∧(⊺⇮5986+⇶⊼⊺⇮1196)↛⩡⫤)","cot":[{"info":"⊺⇮1561⇷⊺⇮4189=⊺⇮8378","layer":3},{"info":"↣≠⋷⊺⇮8378=NaN","layer":2},{"info":"⊺⇮3769+⇶⊼⊺⇮4089=NaN","layer":3},{"info":"⊺⇮2317⫡⨏⊺⇮5050=⊺⇮22468","layer":3},{"info":"NaN⊭↱⊺⇮22468=NaN","layer":2},{"info":"NaN⊉≛↸NaN=NaN","layer":1},{"info":"⊺⇮1130⊦⊿=⊺⇮-3469","layer":3},{"info":"⊺⇮5986+⇶⊼⊺⇮1196=NaN","layer":3},{"info":"⊺⇮-3469≧⫂∧NaN=NaN","layer":2},{"info":"NaN↛⩡⫤=NaN","layer":1},{"info":"NaN⨎NaN=NaN","layer":0}]}
{"id":774,"expression_no_base_symbol":"((($1007$⨁⊸⫻)⋳⪒$2037$≹⇙⪍$1416$)⊭∹↮)⩚⊴⇥(($2127$+$1270$)⪄($4107$%$1160$)⫡⨏(($1300$⊭↱$1117$)⊭∹↮))","expression":"(((⊺⇮1007⨁⊸⫻)⋳⪒⊺⇮2037≹⇙⪍⊺⇮1416)⊭∹↮)⩚⊴⇥((⊺⇮2127+⊺⇮1270)⪄(⊺⇮4107%⊺⇮1160)⫡⨏((⊺⇮1300⊭↱⊺⇮1117)⊭∹↮))","highest_n_order":4,"priority_hierarchical_complexity":7,"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":1007,"base":10}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2037,"base":10},"right_expr":{"type":"numeric_atoms","value":1416,"base":10}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2127,"base":10},"right_expr":{"type":"numeric_atoms","value":1270,"base":10}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4107,"base":10},"right_expr":{"type":"numeric_atoms","value":1160,"base":10}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1300,"base":10},"right_expr":{"type":"numeric_atoms","value":1117,"base":10}}}}},"used_operators":["NTOWxs364D","xNBdhnnwKq","12rbrZMWeM","glklzrTFfD","AHs5Up7iyr","QMFrweE19q","SUmda5xLS4","W4YGzv6Whe","k8jYdgA6NY","COABgblf1C"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1007","layer":4},{"info":"compute unary expreesion, input=1007, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1007","layer":3},{"info":"number node, value=2037","layer":4},{"info":"number node, value=1416","layer":4},{"info":"compute binary expreesion, left_input=2037, right_input=1416, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=1007, 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 = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=nan","layer":1},{"info":"number node, value=2127","layer":4},{"info":"number node, value=1270","layer":4},{"info":"compute binary expreesion, left_input=2127, right_input=1270, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3397","layer":3},{"info":"number node, value=4107","layer":4},{"info":"number node, value=1160","layer":4},{"info":"compute binary expreesion, left_input=4107, right_input=1160, op_id = k8jYdgA6NY binary_op_definition= 'None', output=627","layer":3},{"info":"compute binary expreesion, left_input=3397, right_input=627, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-501353","layer":2},{"info":"number node, value=1300","layer":4},{"info":"number node, value=1117","layer":4},{"info":"compute binary expreesion, left_input=1300, right_input=1117, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-361","layer":3},{"info":"compute unary expreesion, input=-361, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=-361","layer":2},{"info":"compute binary expreesion, left_input=-501353, right_input=-361, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-2506704","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2506704, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮1007⨁⊸⫻)⋳⪒⊺⇮2037≹⇙⪍⊺⇮1416)⊭∹↮)⩚⊴⇥((⊺⇮2127+⊺⇮1270)⪄(⊺⇮4107%⊺⇮1160)⫡⨏((⊺⇮1300⊭↱⊺⇮1117)⊭∹↮))=NaN","reverse_text":"NaN=(((⊺⇮1007⨁⊸⫻)⋳⪒⊺⇮2037≹⇙⪍⊺⇮1416)⊭∹↮)⩚⊴⇥((⊺⇮2127+⊺⇮1270)⪄(⊺⇮4107%⊺⇮1160)⫡⨏((⊺⇮1300⊭↱⊺⇮1117)⊭∹↮))","cot":[{"info":"⊺⇮1007⨁⊸⫻=⊺⇮1007","layer":3},{"info":"⊺⇮2037≹⇙⪍⊺⇮1416=NaN","layer":3},{"info":"⊺⇮1007⋳⪒NaN=NaN","layer":2},{"info":"NaN⊭∹↮=NaN","layer":1},{"info":"⊺⇮2127+⊺⇮1270=⊺⇮3397","layer":3},{"info":"⊺⇮4107%⊺⇮1160=⊺⇮627","layer":3},{"info":"⊺⇮3397⪄⊺⇮627=⊺⇮-501353","layer":2},{"info":"⊺⇮1300⊭↱⊺⇮1117=⊺⇮-361","layer":3},{"info":"⊺⇮-361⊭∹↮=⊺⇮-361","layer":2},{"info":"⊺⇮-501353⫡⨏⊺⇮-361=⊺⇮-2506704","layer":1},{"info":"NaN⩚⊴⇥⊺⇮-2506704=NaN","layer":0}]}
{"id":775,"expression_no_base_symbol":"(($2593$%$1116$)⩚⊴⇥($2715$∲⫓$8661$)↛⩡⫤)⫌⩹⨱","expression":"((⊺⇮2593%⊺⇮1116)⩚⊴⇥(⊺⇮2715∲⫓⊺⇮8661)↛⩡⫤)⫌⩹⨱","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1592,"operation_count":5,"complexity_ratio":318.4,"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":2593,"base":10},"right_expr":{"type":"numeric_atoms","value":1116,"base":10}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2715,"base":10},"right_expr":{"type":"numeric_atoms","value":8661,"base":10}}}}},"used_operators":["EBcxylXtPf","FU0Cs4j7VP","NTOWxs364D","k8jYdgA6NY","i8ToyICDmI"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮8395","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2593","layer":4},{"info":"number node, value=1116","layer":4},{"info":"compute binary expreesion, left_input=2593, right_input=1116, op_id = k8jYdgA6NY binary_op_definition= 'None', output=361","layer":3},{"info":"number node, value=2715","layer":4},{"info":"number node, value=8661","layer":4},{"info":"compute binary expreesion, left_input=2715, right_input=8661, 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=361, right_input=0, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-482","layer":2},{"info":"compute unary expreesion, input=-482, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=3497","layer":1},{"info":"compute unary expreesion, input=3497, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=8395","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮2593%⊺⇮1116)⩚⊴⇥(⊺⇮2715∲⫓⊺⇮8661)↛⩡⫤)⫌⩹⨱=⊺⇮8395","reverse_text":"⊺⇮8395=((⊺⇮2593%⊺⇮1116)⩚⊴⇥(⊺⇮2715∲⫓⊺⇮8661)↛⩡⫤)⫌⩹⨱","cot":[{"info":"⊺⇮2593%⊺⇮1116=⊺⇮361","layer":3},{"info":"⊺⇮2715∲⫓⊺⇮8661=⊺⇮0","layer":3},{"info":"⊺⇮361⩚⊴⇥⊺⇮0=⊺⇮-482","layer":2},{"info":"⊺⇮-482↛⩡⫤=⊺⇮3497","layer":1},{"info":"⊺⇮3497⫌⩹⨱=⊺⇮8395","layer":0}]}
{"id":776,"expression_no_base_symbol":"(⫓⪴(($2888$⨽$3809$)⩚⊴⇥($7040$⪒$4600$)))⋷(($1955$⩚⊴⇥$2282$)⋓($4351$≣⋋)⋫)","expression":"(⫓⪴((⊺⇮2888⨽⊺⇮3809)⩚⊴⇥(⊺⇮7040⪒⊺⇮4600)))⋷((⊺⇮1955⩚⊴⇥⊺⇮2282)⋓(⊺⇮4351≣⋋)⋫)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":25046701,"operation_count":9,"complexity_ratio":2782966.777777778,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2888,"base":10},"right_expr":{"type":"numeric_atoms","value":3809,"base":10}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":7040,"base":10},"right_expr":{"type":"numeric_atoms","value":4600,"base":10}}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1955,"base":10},"right_expr":{"type":"numeric_atoms","value":2282,"base":10}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":4351,"base":10}}}}},"used_operators":["23Mk6UjR3U","eLxqMNBOBk","NTOWxs364D","8HhzD0ZcuI","f6k1SAg4EE","JL8yIekQnl","T2fj7uvVaJ","Tcnh7f0tEr"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"-Inf","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2888","layer":4},{"info":"number node, value=3809","layer":4},{"info":"compute binary expreesion, left_input=2888, right_input=3809, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-25031745","layer":3},{"info":"number node, value=7040","layer":4},{"info":"number node, value=4600","layer":4},{"info":"compute binary expreesion, left_input=7040, right_input=4600, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-11640","layer":3},{"info":"compute binary expreesion, left_input=-25031745, right_input=-11640, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=25043264","layer":2},{"info":"compute unary expreesion, input=25043264, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=inf","layer":1},{"info":"number node, value=1955","layer":4},{"info":"number node, value=2282","layer":4},{"info":"compute binary expreesion, left_input=1955, right_input=2282, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4358","layer":3},{"info":"number node, value=4351","layer":4},{"info":"compute unary expreesion, input=4351, 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=-4358, 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 unary expreesion, input=0, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=inf, right_input=0, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-inf","layer":0}],"base":10,"result_base":10,"text":"(⫓⪴((⊺⇮2888⨽⊺⇮3809)⩚⊴⇥(⊺⇮7040⪒⊺⇮4600)))⋷((⊺⇮1955⩚⊴⇥⊺⇮2282)⋓(⊺⇮4351≣⋋)⋫)=-Inf","reverse_text":"-Inf=(⫓⪴((⊺⇮2888⨽⊺⇮3809)⩚⊴⇥(⊺⇮7040⪒⊺⇮4600)))⋷((⊺⇮1955⩚⊴⇥⊺⇮2282)⋓(⊺⇮4351≣⋋)⋫)","cot":[{"info":"⊺⇮2888⨽⊺⇮3809=⊺⇮-25031745","layer":3},{"info":"⊺⇮7040⪒⊺⇮4600=⊺⇮-11640","layer":3},{"info":"⊺⇮-25031745⩚⊴⇥⊺⇮-11640=⊺⇮25043264","layer":2},{"info":"⫓⪴⊺⇮25043264=Inf","layer":1},{"info":"⊺⇮1955⩚⊴⇥⊺⇮2282=⊺⇮-4358","layer":3},{"info":"⊺⇮4351≣⋋=⊺⇮0","layer":3},{"info":"⊺⇮-4358⋓⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮0⋫=⊺⇮0","layer":1},{"info":"Inf⋷⊺⇮0=-Inf","layer":0}]}
{"id":777,"expression_no_base_symbol":"⫓⪴(($2521$≹⇙⪍$3088$⋷(⫛⫱⨽$2440$))*($2394$⨎$2636$)∑⇟⊟$2230$⇷$5928$)","expression":"⫓⪴((⊺⇮2521≹⇙⪍⊺⇮3088⋷(⫛⫱⨽⊺⇮2440))*(⊺⇮2394⨎⊺⇮2636)∑⇟⊟⊺⇮2230⇷⊺⇮5928)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":32655,"operation_count":8,"complexity_ratio":4081.875,"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":2521,"base":10},"right_expr":{"type":"numeric_atoms","value":3088,"base":10}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2440,"base":10}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2394,"base":10},"right_expr":{"type":"numeric_atoms","value":2636,"base":10}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2230,"base":10},"right_expr":{"type":"numeric_atoms","value":5928,"base":10}}}}},"used_operators":["eLxqMNBOBk","9HNa5Wba9A","23Mk6UjR3U","AHs5Up7iyr","DlLNRPXxWL","U7g4x0WXJJ","rJVOvQCfKK","mp7IySMOzn"],"dependent_operators":["9HNa5Wba9A","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","rGHVDoGpnC","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2521","layer":4},{"info":"number node, value=3088","layer":4},{"info":"compute binary expreesion, left_input=2521, right_input=3088, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=2440","layer":4},{"info":"compute unary expreesion, input=2440, 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 = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":2},{"info":"number node, value=2394","layer":4},{"info":"number node, value=2636","layer":4},{"info":"compute binary expreesion, left_input=2394, right_input=2636, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2636","layer":3},{"info":"number node, value=2230","layer":4},{"info":"number node, value=5928","layer":4},{"info":"compute binary expreesion, left_input=2230, right_input=5928, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=11856","layer":3},{"info":"compute binary expreesion, left_input=2636, right_input=11856, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⫓⪴((⊺⇮2521≹⇙⪍⊺⇮3088⋷(⫛⫱⨽⊺⇮2440))*(⊺⇮2394⨎⊺⇮2636)∑⇟⊟⊺⇮2230⇷⊺⇮5928)=NaN","reverse_text":"NaN=⫓⪴((⊺⇮2521≹⇙⪍⊺⇮3088⋷(⫛⫱⨽⊺⇮2440))*(⊺⇮2394⨎⊺⇮2636)∑⇟⊟⊺⇮2230⇷⊺⇮5928)","cot":[{"info":"⊺⇮2521≹⇙⪍⊺⇮3088=NaN","layer":3},{"info":"⫛⫱⨽⊺⇮2440=⊺⇮0","layer":3},{"info":"NaN⋷⊺⇮0=NaN","layer":2},{"info":"⊺⇮2394⨎⊺⇮2636=⊺⇮2636","layer":3},{"info":"⊺⇮2230⇷⊺⇮5928=⊺⇮11856","layer":3},{"info":"⊺⇮2636∑⇟⊟⊺⇮11856=NaN","layer":2},{"info":"NaN*NaN=NaN","layer":1},{"info":"⫓⪴NaN=NaN","layer":0}]}
{"id":778,"expression_no_base_symbol":"⪝⪂⫅(($4091$⩠)⨽$1805$∑⇟⊟$2119$)⇷($1472$⋷$2559$)≹⇙⪍(⇁⨣⪵$1251$)","expression":"⪝⪂⫅((⊺⇮4091⩠)⨽⊺⇮1805∑⇟⊟⊺⇮2119)⇷(⊺⇮1472⋷⊺⇮2559)≹⇙⪍(⇁⨣⪵⊺⇮1251)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":45,"operation_count":8,"complexity_ratio":5.625,"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":4091,"base":10}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1805,"base":10},"right_expr":{"type":"numeric_atoms","value":2119,"base":10}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1472,"base":10},"right_expr":{"type":"numeric_atoms","value":2559,"base":10}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1251,"base":10}}}}},"used_operators":["XTarYq4gQB","mp7IySMOzn","8HhzD0ZcuI","sJAwomhLZr","U7g4x0WXJJ","AHs5Up7iyr","23Mk6UjR3U","inkyxCbjAn"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=4091","layer":4},{"info":"compute unary expreesion, input=4091, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=1805","layer":4},{"info":"number node, value=2119","layer":4},{"info":"compute binary expreesion, left_input=1805, right_input=2119, 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 = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"number node, value=1472","layer":4},{"info":"number node, value=2559","layer":4},{"info":"compute binary expreesion, left_input=1472, right_input=2559, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3646","layer":3},{"info":"number node, value=1251","layer":4},{"info":"compute unary expreesion, input=1251, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3646, 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 = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾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":10,"result_base":10,"text":"⪝⪂⫅((⊺⇮4091⩠)⨽⊺⇮1805∑⇟⊟⊺⇮2119)⇷(⊺⇮1472⋷⊺⇮2559)≹⇙⪍(⇁⨣⪵⊺⇮1251)=NaN","reverse_text":"NaN=⪝⪂⫅((⊺⇮4091⩠)⨽⊺⇮1805∑⇟⊟⊺⇮2119)⇷(⊺⇮1472⋷⊺⇮2559)≹⇙⪍(⇁⨣⪵⊺⇮1251)","cot":[{"info":"⊺⇮4091⩠=⊺⇮0","layer":3},{"info":"⊺⇮1805∑⇟⊟⊺⇮2119=NaN","layer":3},{"info":"⊺⇮0⨽NaN=NaN","layer":2},{"info":"⊺⇮1472⋷⊺⇮2559=⊺⇮3646","layer":3},{"info":"⇁⨣⪵⊺⇮1251=NaN","layer":3},{"info":"⊺⇮3646≹⇙⪍NaN=NaN","layer":2},{"info":"NaN⇷NaN=NaN","layer":1},{"info":"⪝⪂⫅NaN=NaN","layer":0}]}
{"id":779,"expression_no_base_symbol":"(↯⪼(($1090$↪⪝)⨐⩸⫘($5878$⪠⩆⊳)))⋓($1004$⨓$2211$*($2864$⪠⩆⊳)⋷(⊙↵-(⨞⊢$1973$)))","expression":"(↯⪼((⊺⇮1090↪⪝)⨐⩸⫘(⊺⇮5878⪠⩆⊳)))⋓(⊺⇮1004⨓⊺⇮2211*(⊺⇮2864⪠⩆⊳)⋷(⊙↵-(⨞⊢⊺⇮1973)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5158,"operation_count":11,"complexity_ratio":468.90909090909093,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1090,"base":10}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":5878,"base":10}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1004,"base":10},"right_expr":{"type":"numeric_atoms","value":2211,"base":10}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":2864,"base":10}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1973,"base":10}}}}},"used_operators":["T2fj7uvVaJ","8jW3W4yZS5","fu6greOZ01","l07mrZUIn9","JLbD19bQDL","23Mk6UjR3U","9HNa5Wba9A","3ViojmjbAp","oWn0xqSxBt","xUOZtlo3hN"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","3ViojmjbAp","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1090","layer":4},{"info":"compute unary expreesion, input=1090, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=66688380","layer":3},{"info":"number node, value=5878","layer":4},{"info":"compute unary expreesion, input=5878, 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=66688380, 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=66688380","layer":2},{"info":"compute unary expreesion, input=66688380, 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=1004","layer":4},{"info":"number node, value=2211","layer":4},{"info":"compute binary expreesion, left_input=1004, right_input=2211, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2214","layer":3},{"info":"number node, value=2864","layer":4},{"info":"compute unary expreesion, input=2864, 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=-2214, right_input=0, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=1973","layer":4},{"info":"compute unary expreesion, input=1973, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2147","layer":3},{"info":"compute unary expreesion, input=-2147, 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 = 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=-21, 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":10,"result_base":10,"text":"(↯⪼((⊺⇮1090↪⪝)⨐⩸⫘(⊺⇮5878⪠⩆⊳)))⋓(⊺⇮1004⨓⊺⇮2211*(⊺⇮2864⪠⩆⊳)⋷(⊙↵-(⨞⊢⊺⇮1973)))=⊺⇮0","reverse_text":"⊺⇮0=(↯⪼((⊺⇮1090↪⪝)⨐⩸⫘(⊺⇮5878⪠⩆⊳)))⋓(⊺⇮1004⨓⊺⇮2211*(⊺⇮2864⪠⩆⊳)⋷(⊙↵-(⨞⊢⊺⇮1973)))","cot":[{"info":"⊺⇮1090↪⪝=⊺⇮66688380","layer":3},{"info":"⊺⇮5878⪠⩆⊳=⊺⇮0","layer":3},{"info":"⊺⇮66688380⨐⩸⫘⊺⇮0=⊺⇮66688380","layer":2},{"info":"↯⪼⊺⇮66688380=⊺⇮-21","layer":1},{"info":"⊺⇮1004⨓⊺⇮2211=⊺⇮-2214","layer":3},{"info":"⊺⇮2864⪠⩆⊳=⊺⇮0","layer":3},{"info":"⊺⇮-2214*⊺⇮0=⊺⇮0","layer":2},{"info":"⨞⊢⊺⇮1973=⊺⇮-2147","layer":3},{"info":"⊙↵-⊺⇮-2147=⊺⇮196","layer":2},{"info":"⊺⇮0⋷⊺⇮196=⊺⇮0","layer":1},{"info":"⊺⇮-21⋓⊺⇮0=⊺⇮0","layer":0}]}
{"id":780,"expression_no_base_symbol":"($1334$⪛$4763$⪨≂$2388$*$1871$⨵⪆(⪝⪂⫅$1034$)-(⫛⫱⨽$1204$))⨳⩥⨓(↩($1577$⨎$5290$⋷($2226$/$3022$)))","expression":"(⊺⇮1334⪛⊺⇮4763⪨≂⊺⇮2388*⊺⇮1871⨵⪆(⪝⪂⫅⊺⇮1034)-(⫛⫱⨽⊺⇮1204))⨳⩥⨓(↩(⊺⇮1577⨎⊺⇮5290⋷(⊺⇮2226/⊺⇮3022)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3482,"operation_count":12,"complexity_ratio":290.1666666666667,"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":1334,"base":10},"right_expr":{"type":"numeric_atoms","value":4763,"base":10}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2388,"base":10},"right_expr":{"type":"numeric_atoms","value":1871,"base":10}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1034,"base":10}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1204,"base":10}}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1577,"base":10},"right_expr":{"type":"numeric_atoms","value":5290,"base":10}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2226,"base":10},"right_expr":{"type":"numeric_atoms","value":3022,"base":10}}}}},"used_operators":["nCS4ZIUYfx","2DQ55sFlQl","sdazOOVcIp","uFcxV4UQCh","9HNa5Wba9A","rysDP5nf3Z","XTarYq4gQB","DlLNRPXxWL","jLgFTUHLKL","23Mk6UjR3U","rJVOvQCfKK","XhwjNDsVaA"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","9HNa5Wba9A","8w2t5hMYqp","rGHVDoGpnC","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z"],"result":"⊺⇮23620","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1334","layer":4},{"info":"number node, value=4763","layer":4},{"info":"compute binary expreesion, left_input=1334, right_input=4763, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1334","layer":3},{"info":"number node, value=2388","layer":4},{"info":"number node, value=1871","layer":4},{"info":"compute binary expreesion, left_input=2388, right_input=1871, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4467948","layer":3},{"info":"compute binary expreesion, left_input=1334, right_input=4467948, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-8933126","layer":2},{"info":"number node, value=1034","layer":4},{"info":"compute unary expreesion, input=1034, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-151998","layer":3},{"info":"number node, value=1204","layer":4},{"info":"compute unary expreesion, input=1204, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-151998, right_input=0, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-151998","layer":2},{"info":"compute binary expreesion, left_input=-8933126, right_input=-151998, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=1577","layer":4},{"info":"number node, value=5290","layer":4},{"info":"compute binary expreesion, left_input=1577, right_input=5290, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5290","layer":3},{"info":"number node, value=2226","layer":4},{"info":"number node, value=3022","layer":4},{"info":"compute binary expreesion, left_input=2226, right_input=3022, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=5290, right_input=0, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-5290","layer":2},{"info":"compute unary expreesion, input=-5290, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=23780","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=23780, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=23620","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1334⪛⊺⇮4763⪨≂⊺⇮2388*⊺⇮1871⨵⪆(⪝⪂⫅⊺⇮1034)-(⫛⫱⨽⊺⇮1204))⨳⩥⨓(↩(⊺⇮1577⨎⊺⇮5290⋷(⊺⇮2226/⊺⇮3022)))=⊺⇮23620","reverse_text":"⊺⇮23620=(⊺⇮1334⪛⊺⇮4763⪨≂⊺⇮2388*⊺⇮1871⨵⪆(⪝⪂⫅⊺⇮1034)-(⫛⫱⨽⊺⇮1204))⨳⩥⨓(↩(⊺⇮1577⨎⊺⇮5290⋷(⊺⇮2226/⊺⇮3022)))","cot":[{"info":"⊺⇮1334⪛⊺⇮4763=⊺⇮1334","layer":3},{"info":"⊺⇮2388*⊺⇮1871=⊺⇮4467948","layer":3},{"info":"⊺⇮1334⪨≂⊺⇮4467948=⊺⇮-8933126","layer":2},{"info":"⪝⪂⫅⊺⇮1034=⊺⇮-151998","layer":3},{"info":"⫛⫱⨽⊺⇮1204=⊺⇮0","layer":3},{"info":"⊺⇮-151998-⊺⇮0=⊺⇮-151998","layer":2},{"info":"⊺⇮-8933126⨵⪆⊺⇮-151998=⊺⇮160","layer":1},{"info":"⊺⇮1577⨎⊺⇮5290=⊺⇮5290","layer":3},{"info":"⊺⇮2226/⊺⇮3022=⊺⇮0","layer":3},{"info":"⊺⇮5290⋷⊺⇮0=⊺⇮-5290","layer":2},{"info":"↩⊺⇮-5290=⊺⇮23780","layer":1},{"info":"⊺⇮160⨳⩥⨓⊺⇮23780=⊺⇮23620","layer":0}]}
{"id":781,"expression_no_base_symbol":"(($1166$∧)≭(⨰⫟⨤$1117$))∀⇚≩((⨰⫟⨤$5851$)*(⇁⨣⪵$8063$))⩚⊴⇥(∥⊫($7628$⊦⊿)⨪↰⇹(↯⪼$1296$))","expression":"((⊺⇮1166∧)≭(⨰⫟⨤⊺⇮1117))∀⇚≩((⨰⫟⨤⊺⇮5851)*(⇁⨣⪵⊺⇮8063))⩚⊴⇥(∥⊫(⊺⇮7628⊦⊿)⨪↰⇹(↯⪼⊺⇮1296))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":49209,"operation_count":12,"complexity_ratio":4100.75,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1166,"base":10}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1117,"base":10}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":5851,"base":10}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":8063,"base":10}}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":7628,"base":10}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1296,"base":10}}}}},"used_operators":["NTOWxs364D","LRNGc0VcxI","rxpJgHHUmx","z63VuFQld9","Tw270M8GLb","9HNa5Wba9A","inkyxCbjAn","P8v4zCKN1o","tmPS8pqC7x","14qkJME0vr","8jW3W4yZS5"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","X99M06cbEe","AHs5Up7iyr","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1166","layer":4},{"info":"compute unary expreesion, input=1166, 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=1117","layer":4},{"info":"compute unary expreesion, input=1117, 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 = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=5851","layer":4},{"info":"compute unary expreesion, input=5851, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=8063","layer":4},{"info":"compute unary expreesion, input=8063, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"number node, value=7628","layer":4},{"info":"compute unary expreesion, input=7628, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-22963","layer":3},{"info":"number node, value=1296","layer":4},{"info":"compute unary expreesion, input=1296, 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=-22963, 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=22963","layer":2},{"info":"compute unary expreesion, input=22963, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=23831","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=23831, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1166∧)≭(⨰⫟⨤⊺⇮1117))∀⇚≩((⨰⫟⨤⊺⇮5851)*(⇁⨣⪵⊺⇮8063))⩚⊴⇥(∥⊫(⊺⇮7628⊦⊿)⨪↰⇹(↯⪼⊺⇮1296))=NaN","reverse_text":"NaN=((⊺⇮1166∧)≭(⨰⫟⨤⊺⇮1117))∀⇚≩((⨰⫟⨤⊺⇮5851)*(⇁⨣⪵⊺⇮8063))⩚⊴⇥(∥⊫(⊺⇮7628⊦⊿)⨪↰⇹(↯⪼⊺⇮1296))","cot":[{"info":"⊺⇮1166∧=NaN","layer":3},{"info":"⨰⫟⨤⊺⇮1117=NaN","layer":3},{"info":"NaN≭NaN=NaN","layer":2},{"info":"⨰⫟⨤⊺⇮5851=NaN","layer":3},{"info":"⇁⨣⪵⊺⇮8063=NaN","layer":3},{"info":"NaN*NaN=NaN","layer":2},{"info":"NaN∀⇚≩NaN=NaN","layer":1},{"info":"⊺⇮7628⊦⊿=⊺⇮-22963","layer":3},{"info":"↯⪼⊺⇮1296=⊺⇮-21","layer":3},{"info":"⊺⇮-22963⨪↰⇹⊺⇮-21=⊺⇮22963","layer":2},{"info":"∥⊫⊺⇮22963=⊺⇮23831","layer":1},{"info":"NaN⩚⊴⇥⊺⇮23831=NaN","layer":0}]}
{"id":782,"expression_no_base_symbol":"(⊥($1121$≧⫂∧$2306$⋓$1470$⇷$4772$))∑⇟⊟($4718$⨎$1433$⪄($1928$⇼⇔∾$1861$)-(($8003$↪⪝)↛⩡⫤))","expression":"(⊥(⊺⇮1121≧⫂∧⊺⇮2306⋓⊺⇮1470⇷⊺⇮4772))∑⇟⊟(⊺⇮4718⨎⊺⇮1433⪄(⊺⇮1928⇼⇔∾⊺⇮1861)-((⊺⇮8003↪⪝)↛⩡⫤))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":21465,"operation_count":11,"complexity_ratio":1951.3636363636363,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1121,"base":10},"right_expr":{"type":"numeric_atoms","value":2306,"base":10}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1470,"base":10},"right_expr":{"type":"numeric_atoms","value":4772,"base":10}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4718,"base":10},"right_expr":{"type":"numeric_atoms","value":1433,"base":10}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1928,"base":10},"right_expr":{"type":"numeric_atoms","value":1861,"base":10}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":8003,"base":10}}}}},"used_operators":["U7g4x0WXJJ","Q3PJZHRvZv","T2fj7uvVaJ","Ph9nP6C5qx","mp7IySMOzn","rysDP5nf3Z","SUmda5xLS4","rJVOvQCfKK","tifHPKVTfV","FU0Cs4j7VP","l07mrZUIn9"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","fu6greOZ01","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","9HNa5Wba9A","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1121","layer":4},{"info":"number node, value=2306","layer":4},{"info":"compute binary expreesion, left_input=1121, right_input=2306, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1833","layer":3},{"info":"number node, value=1470","layer":4},{"info":"number node, value=4772","layer":4},{"info":"compute binary expreesion, left_input=1470, right_input=4772, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=9544","layer":3},{"info":"compute binary expreesion, left_input=1833, right_input=9544, op_id = T2fj7uvVaJ binary_op_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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=0","layer":1},{"info":"number node, value=4718","layer":4},{"info":"number node, value=1433","layer":4},{"info":"compute binary expreesion, left_input=4718, right_input=1433, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1433","layer":3},{"info":"number node, value=1928","layer":4},{"info":"number node, value=1861","layer":4},{"info":"compute binary expreesion, left_input=1928, right_input=1861, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-67","layer":3},{"info":"compute binary expreesion, left_input=1433, right_input=-67, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-207905","layer":2},{"info":"number node, value=8003","layer":4},{"info":"compute unary expreesion, input=8003, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=489639546","layer":3},{"info":"compute unary expreesion, input=489639546, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-207905, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊥(⊺⇮1121≧⫂∧⊺⇮2306⋓⊺⇮1470⇷⊺⇮4772))∑⇟⊟(⊺⇮4718⨎⊺⇮1433⪄(⊺⇮1928⇼⇔∾⊺⇮1861)-((⊺⇮8003↪⪝)↛⩡⫤))=NaN","reverse_text":"NaN=(⊥(⊺⇮1121≧⫂∧⊺⇮2306⋓⊺⇮1470⇷⊺⇮4772))∑⇟⊟(⊺⇮4718⨎⊺⇮1433⪄(⊺⇮1928⇼⇔∾⊺⇮1861)-((⊺⇮8003↪⪝)↛⩡⫤))","cot":[{"info":"⊺⇮1121≧⫂∧⊺⇮2306=⊺⇮1833","layer":3},{"info":"⊺⇮1470⇷⊺⇮4772=⊺⇮9544","layer":3},{"info":"⊺⇮1833⋓⊺⇮9544=⊺⇮0","layer":2},{"info":"⊥⊺⇮0=⊺⇮0","layer":1},{"info":"⊺⇮4718⨎⊺⇮1433=⊺⇮1433","layer":3},{"info":"⊺⇮1928⇼⇔∾⊺⇮1861=⊺⇮-67","layer":3},{"info":"⊺⇮1433⪄⊺⇮-67=⊺⇮-207905","layer":2},{"info":"⊺⇮8003↪⪝=⊺⇮489639546","layer":3},{"info":"⊺⇮489639546↛⩡⫤=NaN","layer":2},{"info":"⊺⇮-207905-NaN=NaN","layer":1},{"info":"⊺⇮0∑⇟⊟NaN=NaN","layer":0}]}
{"id":783,"expression_no_base_symbol":"(((≤/$1979$)⇋≉)⨳⩥⨓($5165$⫥∨⫟$2040$+$2315$⊉≛↸$1347$))⨽($2229$⪢$7752$⩨$3409$⫸⊐$4091$)≭((⋗⩬⋾$1550$)⊭↱($1003$⇼⇔∾$2721$))","expression":"(((≤/⊺⇮1979)⇋≉)⨳⩥⨓(⊺⇮5165⫥∨⫟⊺⇮2040+⊺⇮2315⊉≛↸⊺⇮1347))⨽(⊺⇮2229⪢⊺⇮7752⩨⊺⇮3409⫸⊐⊺⇮4091)≭((⋗⩬⋾⊺⇮1550)⊭↱(⊺⇮1003⇼⇔∾⊺⇮2721))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7966,"operation_count":14,"complexity_ratio":569.0,"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":1979,"base":10}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5165,"base":10},"right_expr":{"type":"numeric_atoms","value":2040,"base":10}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2315,"base":10},"right_expr":{"type":"numeric_atoms","value":1347,"base":10}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2229,"base":10},"right_expr":{"type":"numeric_atoms","value":7752,"base":10}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3409,"base":10},"right_expr":{"type":"numeric_atoms","value":4091,"base":10}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1550,"base":10}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1003,"base":10},"right_expr":{"type":"numeric_atoms","value":2721,"base":10}}}}},"used_operators":["8HhzD0ZcuI","nCS4ZIUYfx","XIabStNQrY","eLAdDNolq6","W4YGzv6Whe","KYD54nUTWz","DZ8iAZOCBD","rxpJgHHUmx","2DlMacCsIx","dWAJyo7jo9","mqXw5SEYmG","COABgblf1C","DpFCA1CohY","tifHPKVTfV"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","k8jYdgA6NY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1979","layer":4},{"info":"compute unary expreesion, input=1979, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1495","layer":3},{"info":"compute unary expreesion, input=-1495, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-3088","layer":2},{"info":"number node, value=5165","layer":4},{"info":"number node, value=2040","layer":4},{"info":"compute binary expreesion, left_input=5165, right_input=2040, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=2315","layer":4},{"info":"number node, value=1347","layer":4},{"info":"compute binary expreesion, left_input=2315, right_input=1347, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4630","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4630, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-3088, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"number node, value=2229","layer":4},{"info":"number node, value=7752","layer":4},{"info":"compute binary expreesion, left_input=2229, right_input=7752, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=3409","layer":4},{"info":"number node, value=4091","layer":4},{"info":"compute binary expreesion, left_input=3409, right_input=4091, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=16239","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=16239, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"number node, value=1550","layer":4},{"info":"compute unary expreesion, input=1550, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-4650","layer":3},{"info":"number node, value=1003","layer":4},{"info":"number node, value=2721","layer":4},{"info":"compute binary expreesion, left_input=1003, right_input=2721, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1718","layer":3},{"info":"compute binary expreesion, left_input=-4650, right_input=1718, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=12741","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=12741, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((≤/⊺⇮1979)⇋≉)⨳⩥⨓(⊺⇮5165⫥∨⫟⊺⇮2040+⊺⇮2315⊉≛↸⊺⇮1347))⨽(⊺⇮2229⪢⊺⇮7752⩨⊺⇮3409⫸⊐⊺⇮4091)≭((⋗⩬⋾⊺⇮1550)⊭↱(⊺⇮1003⇼⇔∾⊺⇮2721))=NaN","reverse_text":"NaN=(((≤/⊺⇮1979)⇋≉)⨳⩥⨓(⊺⇮5165⫥∨⫟⊺⇮2040+⊺⇮2315⊉≛↸⊺⇮1347))⨽(⊺⇮2229⪢⊺⇮7752⩨⊺⇮3409⫸⊐⊺⇮4091)≭((⋗⩬⋾⊺⇮1550)⊭↱(⊺⇮1003⇼⇔∾⊺⇮2721))","cot":[{"info":"≤/⊺⇮1979=⊺⇮-1495","layer":3},{"info":"⊺⇮-1495⇋≉=⊺⇮-3088","layer":2},{"info":"⊺⇮5165⫥∨⫟⊺⇮2040=NaN","layer":3},{"info":"⊺⇮2315⊉≛↸⊺⇮1347=⊺⇮4630","layer":3},{"info":"NaN+⊺⇮4630=NaN","layer":2},{"info":"⊺⇮-3088⨳⩥⨓NaN=NaN","layer":1},{"info":"⊺⇮2229⪢⊺⇮7752=NaN","layer":3},{"info":"⊺⇮3409⫸⊐⊺⇮4091=⊺⇮16239","layer":3},{"info":"NaN⩨⊺⇮16239=NaN","layer":2},{"info":"⋗⩬⋾⊺⇮1550=⊺⇮-4650","layer":3},{"info":"⊺⇮1003⇼⇔∾⊺⇮2721=⊺⇮1718","layer":3},{"info":"⊺⇮-4650⊭↱⊺⇮1718=⊺⇮12741","layer":2},{"info":"NaN≭⊺⇮12741=NaN","layer":1},{"info":"NaN⨽NaN=NaN","layer":0}]}
{"id":784,"expression_no_base_symbol":"(($4944$⪄$1072$)+⇶⊼(⊙↵-$3988$)%($2990$≎⊠⪸$4788$⨁⊸⫻))⨐⩸⫘(($1700$⨎$4319$)≧⫂∧(≤/$3071$)⫌⩹⨱)","expression":"((⊺⇮4944⪄⊺⇮1072)+⇶⊼(⊙↵-⊺⇮3988)%(⊺⇮2990≎⊠⪸⊺⇮4788⨁⊸⫻))⨐⩸⫘((⊺⇮1700⨎⊺⇮4319)≧⫂∧(≤/⊺⇮3071)⫌⩹⨱)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":736502,"operation_count":11,"complexity_ratio":66954.72727272728,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4944,"base":10},"right_expr":{"type":"numeric_atoms","value":1072,"base":10}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":3988,"base":10}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2990,"base":10},"right_expr":{"type":"numeric_atoms","value":4788,"base":10}}}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1700,"base":10},"right_expr":{"type":"numeric_atoms","value":4319,"base":10}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":3071,"base":10}}}}},"used_operators":["fu6greOZ01","k8jYdgA6NY","TpPTUOHfaN","SUmda5xLS4","oWn0xqSxBt","glklzrTFfD","bJkvcejdHO","EBcxylXtPf","Ph9nP6C5qx","rJVOvQCfKK","eLAdDNolq6"],"dependent_operators":["3ViojmjbAp","rysDP5nf3Z","AHs5Up7iyr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4944","layer":4},{"info":"number node, value=1072","layer":4},{"info":"compute binary expreesion, left_input=4944, right_input=1072, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-732089","layer":3},{"info":"number node, value=3988","layer":4},{"info":"compute unary expreesion, input=3988, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=-732089, 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=0","layer":2},{"info":"number node, value=2990","layer":4},{"info":"number node, value=4788","layer":4},{"info":"compute binary expreesion, left_input=2990, right_input=4788, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=773937","layer":3},{"info":"compute unary expreesion, input=773937, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=773937","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=773937, op_id = k8jYdgA6NY binary_op_definition= 'None', output=0","layer":1},{"info":"number node, value=1700","layer":4},{"info":"number node, value=4319","layer":4},{"info":"compute binary expreesion, left_input=1700, right_input=4319, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4319","layer":3},{"info":"number node, value=3071","layer":4},{"info":"compute unary expreesion, input=3071, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2587","layer":3},{"info":"compute binary expreesion, left_input=4319, right_input=-2587, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=6906","layer":2},{"info":"compute unary expreesion, input=6906, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=15213","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=15213, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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":10,"result_base":10,"text":"((⊺⇮4944⪄⊺⇮1072)+⇶⊼(⊙↵-⊺⇮3988)%(⊺⇮2990≎⊠⪸⊺⇮4788⨁⊸⫻))⨐⩸⫘((⊺⇮1700⨎⊺⇮4319)≧⫂∧(≤/⊺⇮3071)⫌⩹⨱)=NaN","reverse_text":"NaN=((⊺⇮4944⪄⊺⇮1072)+⇶⊼(⊙↵-⊺⇮3988)%(⊺⇮2990≎⊠⪸⊺⇮4788⨁⊸⫻))⨐⩸⫘((⊺⇮1700⨎⊺⇮4319)≧⫂∧(≤/⊺⇮3071)⫌⩹⨱)","cot":[{"info":"⊺⇮4944⪄⊺⇮1072=⊺⇮-732089","layer":3},{"info":"⊙↵-⊺⇮3988=⊺⇮-1","layer":3},{"info":"⊺⇮-732089+⇶⊼⊺⇮-1=⊺⇮0","layer":2},{"info":"⊺⇮2990≎⊠⪸⊺⇮4788=⊺⇮773937","layer":3},{"info":"⊺⇮773937⨁⊸⫻=⊺⇮773937","layer":2},{"info":"⊺⇮0%⊺⇮773937=⊺⇮0","layer":1},{"info":"⊺⇮1700⨎⊺⇮4319=⊺⇮4319","layer":3},{"info":"≤/⊺⇮3071=⊺⇮-2587","layer":3},{"info":"⊺⇮4319≧⫂∧⊺⇮-2587=⊺⇮6906","layer":2},{"info":"⊺⇮6906⫌⩹⨱=⊺⇮15213","layer":1},{"info":"⊺⇮0⨐⩸⫘⊺⇮15213=NaN","layer":0}]}
{"id":785,"expression_no_base_symbol":"↔(⨑⩽⪐(⇁⨣⪵$1363$)⨓(⨑⩽⪐$2711$))","expression":"↔(⨑⩽⪐(⇁⨣⪵⊺⇮1363)⨓(⨑⩽⪐⊺⇮2711))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":2475,"operation_count":5,"complexity_ratio":495.0,"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":1363,"base":10}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2711,"base":10}}}}},"used_operators":["ruOEQAzv1W","AF7qkfDlqP","3ViojmjbAp","inkyxCbjAn"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","B5M0gjZbta"],"result":"⊺⇮-134","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1363","layer":4},{"info":"compute unary expreesion, input=1363, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=2711","layer":4},{"info":"compute unary expreesion, input=2711, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2438","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2438, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=2435","layer":2},{"info":"compute unary expreesion, input=2435, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2162","layer":1},{"info":"compute unary expreesion, input=-2162, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":0}],"base":10,"result_base":10,"text":"↔(⨑⩽⪐(⇁⨣⪵⊺⇮1363)⨓(⨑⩽⪐⊺⇮2711))=⊺⇮-134","reverse_text":"⊺⇮-134=↔(⨑⩽⪐(⇁⨣⪵⊺⇮1363)⨓(⨑⩽⪐⊺⇮2711))","cot":[{"info":"⇁⨣⪵⊺⇮1363=NaN","layer":3},{"info":"⨑⩽⪐⊺⇮2711=⊺⇮-2438","layer":3},{"info":"NaN⨓⊺⇮-2438=⊺⇮2435","layer":2},{"info":"⨑⩽⪐⊺⇮2435=⊺⇮-2162","layer":1},{"info":"↔⊺⇮-2162=⊺⇮-134","layer":0}]}
{"id":786,"expression_no_base_symbol":"(($1275$⫡⨏$7598$)⊠≄⫣)↙(↯⪼$1629$)⨰($3784$⩨$3079$)⨳⩥⨓($5321$⪘⫢$1035$⇼⇔∾$1238$⇷$3317$)≧⫂∧($3628$/$2146$)⨓($2136$⨵⪆$2230$)","expression":"((⊺⇮1275⫡⨏⊺⇮7598)⊠≄⫣)↙(↯⪼⊺⇮1629)⨰(⊺⇮3784⩨⊺⇮3079)⨳⩥⨓(⊺⇮5321⪘⫢⊺⇮1035⇼⇔∾⊺⇮1238⇷⊺⇮3317)≧⫂∧(⊺⇮3628/⊺⇮2146)⨓(⊺⇮2136⨵⪆⊺⇮2230)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":17580,"operation_count":14,"complexity_ratio":1255.7142857142858,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1275,"base":10},"right_expr":{"type":"numeric_atoms","value":7598,"base":10}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1629,"base":10}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3784,"base":10},"right_expr":{"type":"numeric_atoms","value":3079,"base":10}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":5321,"base":10},"right_expr":{"type":"numeric_atoms","value":1035,"base":10}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1238,"base":10},"right_expr":{"type":"numeric_atoms","value":3317,"base":10}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3628,"base":10},"right_expr":{"type":"numeric_atoms","value":2146,"base":10}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2136,"base":10},"right_expr":{"type":"numeric_atoms","value":2230,"base":10}}}}},"used_operators":["nCS4ZIUYfx","yyfyN0ffXY","DIvbN7qnHd","QMFrweE19q","eewbuw0ToL","8jW3W4yZS5","2DlMacCsIx","Ph9nP6C5qx","tifHPKVTfV","oacrs7FA3X","mp7IySMOzn","3ViojmjbAp","XhwjNDsVaA","2DQ55sFlQl"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"⊺⇮-3721","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1275","layer":4},{"info":"number node, value=7598","layer":4},{"info":"compute binary expreesion, left_input=1275, right_input=7598, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=22354","layer":3},{"info":"compute unary expreesion, input=22354, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"number node, value=1629","layer":4},{"info":"compute unary expreesion, input=1629, 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=3784","layer":4},{"info":"number node, value=3079","layer":4},{"info":"compute binary expreesion, left_input=3784, right_input=3079, 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=-21, right_input=0, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-11","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-11, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":1},{"info":"number node, value=5321","layer":4},{"info":"number node, value=1035","layer":4},{"info":"compute binary expreesion, left_input=5321, right_input=1035, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=10518","layer":3},{"info":"number node, value=1238","layer":4},{"info":"number node, value=3317","layer":4},{"info":"compute binary expreesion, left_input=1238, right_input=3317, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6634","layer":3},{"info":"compute binary expreesion, left_input=10518, right_input=6634, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-3884","layer":2},{"info":"number node, value=3628","layer":4},{"info":"number node, value=2146","layer":4},{"info":"compute binary expreesion, left_input=3628, right_input=2146, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"number node, value=2136","layer":4},{"info":"number node, value=2230","layer":4},{"info":"compute binary expreesion, left_input=2136, right_input=2230, 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=1, right_input=160, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-163","layer":2},{"info":"compute binary expreesion, left_input=-3884, right_input=-163, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-3721","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-3721, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3721","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1275⫡⨏⊺⇮7598)⊠≄⫣)↙(↯⪼⊺⇮1629)⨰(⊺⇮3784⩨⊺⇮3079)⨳⩥⨓(⊺⇮5321⪘⫢⊺⇮1035⇼⇔∾⊺⇮1238⇷⊺⇮3317)≧⫂∧(⊺⇮3628/⊺⇮2146)⨓(⊺⇮2136⨵⪆⊺⇮2230)=⊺⇮-3721","reverse_text":"⊺⇮-3721=((⊺⇮1275⫡⨏⊺⇮7598)⊠≄⫣)↙(↯⪼⊺⇮1629)⨰(⊺⇮3784⩨⊺⇮3079)⨳⩥⨓(⊺⇮5321⪘⫢⊺⇮1035⇼⇔∾⊺⇮1238⇷⊺⇮3317)≧⫂∧(⊺⇮3628/⊺⇮2146)⨓(⊺⇮2136⨵⪆⊺⇮2230)","cot":[{"info":"⊺⇮1275⫡⨏⊺⇮7598=⊺⇮22354","layer":3},{"info":"⊺⇮22354⊠≄⫣=⊺⇮0","layer":2},{"info":"↯⪼⊺⇮1629=⊺⇮-21","layer":3},{"info":"⊺⇮3784⩨⊺⇮3079=⊺⇮0","layer":3},{"info":"⊺⇮-21⨰⊺⇮0=⊺⇮-11","layer":2},{"info":"⊺⇮0↙⊺⇮-11=⊺⇮0","layer":1},{"info":"⊺⇮5321⪘⫢⊺⇮1035=⊺⇮10518","layer":3},{"info":"⊺⇮1238⇷⊺⇮3317=⊺⇮6634","layer":3},{"info":"⊺⇮10518⇼⇔∾⊺⇮6634=⊺⇮-3884","layer":2},{"info":"⊺⇮3628/⊺⇮2146=⊺⇮1","layer":3},{"info":"⊺⇮2136⨵⪆⊺⇮2230=⊺⇮160","layer":3},{"info":"⊺⇮1⨓⊺⇮160=⊺⇮-163","layer":2},{"info":"⊺⇮-3884≧⫂∧⊺⇮-163=⊺⇮-3721","layer":1},{"info":"⊺⇮0⨳⩥⨓⊺⇮-3721=⊺⇮-3721","layer":0}]}
{"id":787,"expression_no_base_symbol":"-(($1758$/$1562$)↬($3883$⋷$1929$)⨁⊸⫻)","expression":"-((⊺⇮1758/⊺⇮1562)↬(⊺⇮3883⋷⊺⇮1929)⨁⊸⫻)","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":132,"operation_count":5,"complexity_ratio":26.4,"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":1758,"base":10},"right_expr":{"type":"numeric_atoms","value":1562,"base":10}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3883,"base":10},"right_expr":{"type":"numeric_atoms","value":1929,"base":10}}}}},"used_operators":["t8gj7n24qd","glklzrTFfD","B5M0gjZbta","XhwjNDsVaA","23Mk6UjR3U"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=1758","layer":4},{"info":"number node, value=1562","layer":4},{"info":"compute binary expreesion, left_input=1758, right_input=1562, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"number node, value=3883","layer":4},{"info":"number node, value=1929","layer":4},{"info":"compute binary expreesion, left_input=3883, right_input=1929, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-25","layer":3},{"info":"compute binary expreesion, left_input=1, right_input=-25, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬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 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 = t8gj7n24qd, unary_op_definition = 'None', output=0","layer":0}],"base":10,"result_base":10,"text":"-((⊺⇮1758/⊺⇮1562)↬(⊺⇮3883⋷⊺⇮1929)⨁⊸⫻)=⊺⇮0","reverse_text":"⊺⇮0=-((⊺⇮1758/⊺⇮1562)↬(⊺⇮3883⋷⊺⇮1929)⨁⊸⫻)","cot":[{"info":"⊺⇮1758/⊺⇮1562=⊺⇮1","layer":3},{"info":"⊺⇮3883⋷⊺⇮1929=⊺⇮-25","layer":3},{"info":"⊺⇮1↬⊺⇮-25=⊺⇮0","layer":2},{"info":"⊺⇮0⨁⊸⫻=⊺⇮0","layer":1},{"info":"-⊺⇮0=⊺⇮0","layer":0}]}
{"id":788,"expression_no_base_symbol":"(≤/($3750$+$6785$)⫸⊐($4394$%$3082$))≎⊠⪸(($6058$≭$2228$)⪢($2329$⨽$1016$))⪢(-(⊙↵-$5540$))","expression":"(≤/(⊺⇮3750+⊺⇮6785)⫸⊐(⊺⇮4394%⊺⇮3082))≎⊠⪸((⊺⇮6058≭⊺⇮2228)⪢(⊺⇮2329⨽⊺⇮1016))⪢(-(⊙↵-⊺⇮5540))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":7966,"operation_count":11,"complexity_ratio":724.1818181818181,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3750,"base":10},"right_expr":{"type":"numeric_atoms","value":6785,"base":10}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4394,"base":10},"right_expr":{"type":"numeric_atoms","value":3082,"base":10}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":6058,"base":10},"right_expr":{"type":"numeric_atoms","value":2228,"base":10}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2329,"base":10},"right_expr":{"type":"numeric_atoms","value":1016,"base":10}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":5540,"base":10}}}}},"used_operators":["bJkvcejdHO","eLAdDNolq6","mqXw5SEYmG","W4YGzv6Whe","k8jYdgA6NY","dWAJyo7jo9","rxpJgHHUmx","8HhzD0ZcuI","t8gj7n24qd","oWn0xqSxBt"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","k8jYdgA6NY","AHs5Up7iyr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"⊺⇮67","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3750","layer":4},{"info":"number node, value=6785","layer":4},{"info":"compute binary expreesion, left_input=3750, right_input=6785, op_id = W4YGzv6Whe binary_op_definition= 'None', output=10535","layer":3},{"info":"number node, value=4394","layer":4},{"info":"number node, value=3082","layer":4},{"info":"compute binary expreesion, left_input=4394, right_input=3082, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1312","layer":3},{"info":"compute binary expreesion, left_input=10535, right_input=1312, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5123","layer":2},{"info":"compute unary expreesion, input=5123, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-4639","layer":1},{"info":"number node, value=6058","layer":4},{"info":"number node, value=2228","layer":4},{"info":"compute binary expreesion, left_input=6058, right_input=2228, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=2329","layer":4},{"info":"number node, value=1016","layer":4},{"info":"compute binary expreesion, left_input=2329, right_input=1016, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-16274457","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-16274457, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=5540","layer":4},{"info":"compute unary expreesion, input=5540, 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=nan, right_input=1, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-4639, 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":10,"result_base":10,"text":"(≤/(⊺⇮3750+⊺⇮6785)⫸⊐(⊺⇮4394%⊺⇮3082))≎⊠⪸((⊺⇮6058≭⊺⇮2228)⪢(⊺⇮2329⨽⊺⇮1016))⪢(-(⊙↵-⊺⇮5540))=⊺⇮67","reverse_text":"⊺⇮67=(≤/(⊺⇮3750+⊺⇮6785)⫸⊐(⊺⇮4394%⊺⇮3082))≎⊠⪸((⊺⇮6058≭⊺⇮2228)⪢(⊺⇮2329⨽⊺⇮1016))⪢(-(⊙↵-⊺⇮5540))","cot":[{"info":"⊺⇮3750+⊺⇮6785=⊺⇮10535","layer":3},{"info":"⊺⇮4394%⊺⇮3082=⊺⇮1312","layer":3},{"info":"⊺⇮10535⫸⊐⊺⇮1312=⊺⇮5123","layer":2},{"info":"≤/⊺⇮5123=⊺⇮-4639","layer":1},{"info":"⊺⇮6058≭⊺⇮2228=NaN","layer":3},{"info":"⊺⇮2329⨽⊺⇮1016=⊺⇮-16274457","layer":3},{"info":"NaN⪢⊺⇮-16274457=NaN","layer":2},{"info":"⊙↵-⊺⇮5540=⊺⇮-1","layer":3},{"info":"-⊺⇮-1=⊺⇮1","layer":2},{"info":"NaN⪢⊺⇮1=NaN","layer":1},{"info":"⊺⇮-4639≎⊠⪸NaN=⊺⇮67","layer":0}]}
{"id":789,"expression_no_base_symbol":"(⊄⩳↩($1930$⨵⪆$4367$))↬($3970$⪘⫢$1050$⨁⊸⫻)⫥∨⫟(($1634$⫡⨏$5663$)⨰($2216$⩷∴$4416$)⫥∨⫟($5656$≭$1911$)⪛($4367$≭$3509$))","expression":"(⊄⩳↩(⊺⇮1930⨵⪆⊺⇮4367))↬(⊺⇮3970⪘⫢⊺⇮1050⨁⊸⫻)⫥∨⫟((⊺⇮1634⫡⨏⊺⇮5663)⨰(⊺⇮2216⩷∴⊺⇮4416)⫥∨⫟(⊺⇮5656≭⊺⇮1911)⪛(⊺⇮4367≭⊺⇮3509))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":354,"operation_count":13,"complexity_ratio":27.23076923076923,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1930,"base":10},"right_expr":{"type":"numeric_atoms","value":4367,"base":10}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3970,"base":10},"right_expr":{"type":"numeric_atoms","value":1050,"base":10}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1634,"base":10},"right_expr":{"type":"numeric_atoms","value":5663,"base":10}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2216,"base":10},"right_expr":{"type":"numeric_atoms","value":4416,"base":10}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":5656,"base":10},"right_expr":{"type":"numeric_atoms","value":1911,"base":10}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4367,"base":10},"right_expr":{"type":"numeric_atoms","value":3509,"base":10}}}}},"used_operators":["KYD54nUTWz","B5M0gjZbta","8w2t5hMYqp","2DQ55sFlQl","glklzrTFfD","oacrs7FA3X","eewbuw0ToL","QMFrweE19q","9FxExcQeMw","uFcxV4UQCh","rxpJgHHUmx"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1930","layer":4},{"info":"number node, value=4367","layer":4},{"info":"compute binary expreesion, left_input=1930, right_input=4367, 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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-480","layer":2},{"info":"number node, value=3970","layer":4},{"info":"number node, value=1050","layer":4},{"info":"compute binary expreesion, left_input=3970, right_input=1050, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=7816","layer":3},{"info":"compute unary expreesion, input=7816, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=7816","layer":2},{"info":"compute binary expreesion, left_input=-480, right_input=7816, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=5663","layer":4},{"info":"compute binary expreesion, left_input=1634, right_input=5663, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=20279","layer":3},{"info":"number node, value=2216","layer":4},{"info":"number node, value=4416","layer":4},{"info":"compute binary expreesion, left_input=2216, right_input=4416, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-4432","layer":3},{"info":"compute binary expreesion, left_input=20279, right_input=-4432, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=24721","layer":2},{"info":"number node, value=5656","layer":4},{"info":"number node, value=1911","layer":4},{"info":"compute binary expreesion, left_input=5656, right_input=1911, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=4367","layer":4},{"info":"number node, value=3509","layer":4},{"info":"compute binary expreesion, left_input=4367, right_input=3509, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=24721, 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":10,"result_base":10,"text":"(⊄⩳↩(⊺⇮1930⨵⪆⊺⇮4367))↬(⊺⇮3970⪘⫢⊺⇮1050⨁⊸⫻)⫥∨⫟((⊺⇮1634⫡⨏⊺⇮5663)⨰(⊺⇮2216⩷∴⊺⇮4416)⫥∨⫟(⊺⇮5656≭⊺⇮1911)⪛(⊺⇮4367≭⊺⇮3509))=NaN","reverse_text":"NaN=(⊄⩳↩(⊺⇮1930⨵⪆⊺⇮4367))↬(⊺⇮3970⪘⫢⊺⇮1050⨁⊸⫻)⫥∨⫟((⊺⇮1634⫡⨏⊺⇮5663)⨰(⊺⇮2216⩷∴⊺⇮4416)⫥∨⫟(⊺⇮5656≭⊺⇮1911)⪛(⊺⇮4367≭⊺⇮3509))","cot":[{"info":"⊺⇮1930⨵⪆⊺⇮4367=⊺⇮160","layer":3},{"info":"⊄⩳↩⊺⇮160=⊺⇮-480","layer":2},{"info":"⊺⇮3970⪘⫢⊺⇮1050=⊺⇮7816","layer":3},{"info":"⊺⇮7816⨁⊸⫻=⊺⇮7816","layer":2},{"info":"⊺⇮-480↬⊺⇮7816=NaN","layer":1},{"info":"⊺⇮1634⫡⨏⊺⇮5663=⊺⇮20279","layer":3},{"info":"⊺⇮2216⩷∴⊺⇮4416=⊺⇮-4432","layer":3},{"info":"⊺⇮20279⨰⊺⇮-4432=⊺⇮24721","layer":2},{"info":"⊺⇮5656≭⊺⇮1911=NaN","layer":3},{"info":"⊺⇮4367≭⊺⇮3509=NaN","layer":3},{"info":"NaN⪛NaN=NaN","layer":2},{"info":"⊺⇮24721⫥∨⫟NaN=NaN","layer":1},{"info":"NaN⫥∨⫟NaN=NaN","layer":0}]}
{"id":790,"expression_no_base_symbol":"(($1767$∼$4045$)⨟⋌⩍($8126$⩨$4461$)⋷($5802$↛⩡⫤)⨸⪁($1102$⊭↱$1516$))-($1084$⪮%⊝$6834$⪄$2744$↺$2944$)↙(⪲⇎($1033$↙$5131$))","expression":"((⊺⇮1767∼⊺⇮4045)⨟⋌⩍(⊺⇮8126⩨⊺⇮4461)⋷(⊺⇮5802↛⩡⫤)⨸⪁(⊺⇮1102⊭↱⊺⇮1516))-(⊺⇮1084⪮%⊝⊺⇮6834⪄⊺⇮2744↺⊺⇮2944)↙(⪲⇎(⊺⇮1033↙⊺⇮5131))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":22836,"operation_count":14,"complexity_ratio":1631.142857142857,"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":1767,"base":10},"right_expr":{"type":"numeric_atoms","value":4045,"base":10}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":8126,"base":10},"right_expr":{"type":"numeric_atoms","value":4461,"base":10}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":5802,"base":10}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1102,"base":10},"right_expr":{"type":"numeric_atoms","value":1516,"base":10}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1084,"base":10},"right_expr":{"type":"numeric_atoms","value":6834,"base":10}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2744,"base":10},"right_expr":{"type":"numeric_atoms","value":2944,"base":10}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1033,"base":10},"right_expr":{"type":"numeric_atoms","value":5131,"base":10}}}}},"used_operators":["rysDP5nf3Z","23Mk6UjR3U","rGHVDoGpnC","DyGG3AbaNP","2DlMacCsIx","g55IO6H4Gj","FU0Cs4j7VP","COABgblf1C","yyfyN0ffXY","SUmda5xLS4","IWmyXbctLI","7j4O788W3g","XPYlsWDdGa"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1767","layer":4},{"info":"number node, value=4045","layer":4},{"info":"compute binary expreesion, left_input=1767, right_input=4045, 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=8126","layer":4},{"info":"number node, value=4461","layer":4},{"info":"compute binary expreesion, left_input=8126, right_input=4461, 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 = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=5802","layer":4},{"info":"compute unary expreesion, input=5802, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-872191","layer":3},{"info":"number node, value=1102","layer":4},{"info":"number node, value=1516","layer":4},{"info":"compute binary expreesion, left_input=1102, right_input=1516, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=833","layer":3},{"info":"compute binary expreesion, left_input=-872191, right_input=833, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-1742716","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1742716, 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=1084","layer":4},{"info":"number node, value=6834","layer":4},{"info":"compute binary expreesion, left_input=1084, right_input=6834, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2484","layer":3},{"info":"number node, value=2744","layer":4},{"info":"number node, value=2944","layer":4},{"info":"compute binary expreesion, left_input=2744, right_input=2944, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2944","layer":3},{"info":"compute binary expreesion, left_input=2484, right_input=2944, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-375497","layer":2},{"info":"number node, value=1033","layer":4},{"info":"number node, value=5131","layer":4},{"info":"compute binary expreesion, left_input=1033, right_input=5131, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-15393","layer":3},{"info":"compute unary expreesion, input=-15393, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-30786","layer":2},{"info":"compute binary expreesion, left_input=-375497, right_input=-30786, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-375497","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-375497, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1767∼⊺⇮4045)⨟⋌⩍(⊺⇮8126⩨⊺⇮4461)⋷(⊺⇮5802↛⩡⫤)⨸⪁(⊺⇮1102⊭↱⊺⇮1516))-(⊺⇮1084⪮%⊝⊺⇮6834⪄⊺⇮2744↺⊺⇮2944)↙(⪲⇎(⊺⇮1033↙⊺⇮5131))=NaN","reverse_text":"NaN=((⊺⇮1767∼⊺⇮4045)⨟⋌⩍(⊺⇮8126⩨⊺⇮4461)⋷(⊺⇮5802↛⩡⫤)⨸⪁(⊺⇮1102⊭↱⊺⇮1516))-(⊺⇮1084⪮%⊝⊺⇮6834⪄⊺⇮2744↺⊺⇮2944)↙(⪲⇎(⊺⇮1033↙⊺⇮5131))","cot":[{"info":"⊺⇮1767∼⊺⇮4045=NaN","layer":3},{"info":"⊺⇮8126⩨⊺⇮4461=⊺⇮0","layer":3},{"info":"NaN⨟⋌⩍⊺⇮0=NaN","layer":2},{"info":"⊺⇮5802↛⩡⫤=⊺⇮-872191","layer":3},{"info":"⊺⇮1102⊭↱⊺⇮1516=⊺⇮833","layer":3},{"info":"⊺⇮-872191⨸⪁⊺⇮833=⊺⇮-1742716","layer":2},{"info":"NaN⋷⊺⇮-1742716=NaN","layer":1},{"info":"⊺⇮1084⪮%⊝⊺⇮6834=⊺⇮2484","layer":3},{"info":"⊺⇮2744↺⊺⇮2944=⊺⇮2944","layer":3},{"info":"⊺⇮2484⪄⊺⇮2944=⊺⇮-375497","layer":2},{"info":"⊺⇮1033↙⊺⇮5131=⊺⇮-15393","layer":3},{"info":"⪲⇎⊺⇮-15393=⊺⇮-30786","layer":2},{"info":"⊺⇮-375497↙⊺⇮-30786=⊺⇮-375497","layer":1},{"info":"NaN-⊺⇮-375497=NaN","layer":0}]}
{"id":791,"expression_no_base_symbol":"((($4303$*$1140$)∧)≫≃)⩚⊴⇥(⨵≀≌($5477$↙$3245$⊉≛↸$1118$⨰$2981$))","expression":"(((⊺⇮4303*⊺⇮1140)∧)≫≃)⩚⊴⇥(⨵≀≌(⊺⇮5477↙⊺⇮3245⊉≛↸⊺⇮1118⨰⊺⇮2981))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4417,"operation_count":8,"complexity_ratio":552.125,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4303,"base":10},"right_expr":{"type":"numeric_atoms","value":1140,"base":10}}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":5477,"base":10},"right_expr":{"type":"numeric_atoms","value":3245,"base":10}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1118,"base":10},"right_expr":{"type":"numeric_atoms","value":2981,"base":10}}}}},"used_operators":["NTOWxs364D","X99M06cbEe","z63VuFQld9","9HNa5Wba9A","srAu1WTS94","DZ8iAZOCBD","yyfyN0ffXY","eewbuw0ToL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4303","layer":4},{"info":"number node, value=1140","layer":4},{"info":"compute binary expreesion, left_input=4303, right_input=1140, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4905420","layer":3},{"info":"compute unary expreesion, input=4905420, 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 = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=nan","layer":1},{"info":"number node, value=5477","layer":4},{"info":"number node, value=3245","layer":4},{"info":"compute binary expreesion, left_input=5477, right_input=3245, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-9735","layer":3},{"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 = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1853","layer":3},{"info":"compute binary expreesion, left_input=-9735, right_input=-1853, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=1853","layer":2},{"info":"compute unary expreesion, input=1853, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-5559","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-5559, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮4303*⊺⇮1140)∧)≫≃)⩚⊴⇥(⨵≀≌(⊺⇮5477↙⊺⇮3245⊉≛↸⊺⇮1118⨰⊺⇮2981))=NaN","reverse_text":"NaN=(((⊺⇮4303*⊺⇮1140)∧)≫≃)⩚⊴⇥(⨵≀≌(⊺⇮5477↙⊺⇮3245⊉≛↸⊺⇮1118⨰⊺⇮2981))","cot":[{"info":"⊺⇮4303*⊺⇮1140=⊺⇮4905420","layer":3},{"info":"⊺⇮4905420∧=NaN","layer":2},{"info":"NaN≫≃=NaN","layer":1},{"info":"⊺⇮5477↙⊺⇮3245=⊺⇮-9735","layer":3},{"info":"⊺⇮1118⨰⊺⇮2981=⊺⇮-1853","layer":3},{"info":"⊺⇮-9735⊉≛↸⊺⇮-1853=⊺⇮1853","layer":2},{"info":"⨵≀≌⊺⇮1853=⊺⇮-5559","layer":1},{"info":"NaN⩚⊴⇥⊺⇮-5559=NaN","layer":0}]}
{"id":792,"expression_no_base_symbol":"≉((≉$1849$)⪐)∀⇚≩($8300$⨟⋌⩍$2065$≎⊠⪸($1884$∲⫓$4455$))","expression":"≉((≉⊺⇮1849)⪐)∀⇚≩(⊺⇮8300⨟⋌⩍⊺⇮2065≎⊠⪸(⊺⇮1884∲⫓⊺⇮4455))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":33340,"operation_count":7,"complexity_ratio":4762.857142857143,"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":1849,"base":10}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":8300,"base":10},"right_expr":{"type":"numeric_atoms","value":2065,"base":10}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1884,"base":10},"right_expr":{"type":"numeric_atoms","value":4455,"base":10}}}}},"used_operators":["e1ybzncUwg","LRNGc0VcxI","eH2TOUuTDT","bJkvcejdHO","rGHVDoGpnC","i8ToyICDmI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=1849","layer":4},{"info":"compute unary expreesion, input=1849, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2380","layer":3},{"info":"compute unary expreesion, input=2380, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=4760","layer":2},{"info":"number node, value=8300","layer":4},{"info":"number node, value=2065","layer":4},{"info":"compute binary expreesion, left_input=8300, right_input=2065, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1884","layer":4},{"info":"number node, value=4455","layer":4},{"info":"compute binary expreesion, left_input=1884, right_input=4455, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4760, 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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"≉((≉⊺⇮1849)⪐)∀⇚≩(⊺⇮8300⨟⋌⩍⊺⇮2065≎⊠⪸(⊺⇮1884∲⫓⊺⇮4455))=NaN","reverse_text":"NaN=≉((≉⊺⇮1849)⪐)∀⇚≩(⊺⇮8300⨟⋌⩍⊺⇮2065≎⊠⪸(⊺⇮1884∲⫓⊺⇮4455))","cot":[{"info":"≉⊺⇮1849=⊺⇮2380","layer":3},{"info":"⊺⇮2380⪐=⊺⇮4760","layer":2},{"info":"⊺⇮8300⨟⋌⩍⊺⇮2065=NaN","layer":3},{"info":"⊺⇮1884∲⫓⊺⇮4455=⊺⇮0","layer":3},{"info":"NaN≎⊠⪸⊺⇮0=NaN","layer":2},{"info":"⊺⇮4760∀⇚≩NaN=NaN","layer":1},{"info":"≉NaN=NaN","layer":0}]}
{"id":793,"expression_no_base_symbol":"(($6865$⫸⊐$3171$)⊪)≭($2050$⨽$1365$/(≦∁$2809$))/($2552$+⇶⊼$2290$)∑⇟⊟($2194$⨎$2265$)≧⫂∧($1562$⨰$1934$⨐⩸⫘(⨈⫕$1501$))","expression":"((⊺⇮6865⫸⊐⊺⇮3171)⊪)≭(⊺⇮2050⨽⊺⇮1365/(≦∁⊺⇮2809))/(⊺⇮2552+⇶⊼⊺⇮2290)∑⇟⊟(⊺⇮2194⨎⊺⇮2265)≧⫂∧(⊺⇮1562⨰⊺⇮1934⨐⩸⫘(⨈⫕⊺⇮1501))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7571,"operation_count":14,"complexity_ratio":540.7857142857143,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":6865,"base":10},"right_expr":{"type":"numeric_atoms","value":3171,"base":10}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2050,"base":10},"right_expr":{"type":"numeric_atoms","value":1365,"base":10}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2809,"base":10}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2552,"base":10},"right_expr":{"type":"numeric_atoms","value":2290,"base":10}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2194,"base":10},"right_expr":{"type":"numeric_atoms","value":2265,"base":10}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1562,"base":10},"right_expr":{"type":"numeric_atoms","value":1934,"base":10}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1501,"base":10}}}}},"used_operators":["XhwjNDsVaA","rxpJgHHUmx","zVYPLywUTj","mqXw5SEYmG","8HhzD0ZcuI","9ICcGScMcE","Ph9nP6C5qx","U7g4x0WXJJ","TpPTUOHfaN","rJVOvQCfKK","fu6greOZ01","eewbuw0ToL","megm06wKyl"],"dependent_operators":["rysDP5nf3Z","AHs5Up7iyr","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6865","layer":4},{"info":"number node, value=3171","layer":4},{"info":"compute binary expreesion, left_input=6865, right_input=3171, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=12559","layer":3},{"info":"compute unary expreesion, input=12559, 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=2050","layer":4},{"info":"number node, value=1365","layer":4},{"info":"compute binary expreesion, left_input=2050, right_input=1365, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-12610281","layer":3},{"info":"number node, value=2809","layer":4},{"info":"compute unary expreesion, input=2809, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2809","layer":3},{"info":"compute binary expreesion, left_input=-12610281, right_input=2809, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-4490","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-4490, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=2552","layer":4},{"info":"number node, value=2290","layer":4},{"info":"compute binary expreesion, left_input=2552, right_input=2290, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=2194","layer":4},{"info":"number node, value=2265","layer":4},{"info":"compute binary expreesion, left_input=2194, right_input=2265, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2265","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2265, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=1562","layer":4},{"info":"number node, value=1934","layer":4},{"info":"compute binary expreesion, left_input=1562, right_input=1934, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-362","layer":3},{"info":"number node, value=1501","layer":4},{"info":"compute unary expreesion, input=1501, 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=-362, right_input=-21, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=24","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=24, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-449","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-449, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮6865⫸⊐⊺⇮3171)⊪)≭(⊺⇮2050⨽⊺⇮1365/(≦∁⊺⇮2809))/(⊺⇮2552+⇶⊼⊺⇮2290)∑⇟⊟(⊺⇮2194⨎⊺⇮2265)≧⫂∧(⊺⇮1562⨰⊺⇮1934⨐⩸⫘(⨈⫕⊺⇮1501))=NaN","reverse_text":"NaN=((⊺⇮6865⫸⊐⊺⇮3171)⊪)≭(⊺⇮2050⨽⊺⇮1365/(≦∁⊺⇮2809))/(⊺⇮2552+⇶⊼⊺⇮2290)∑⇟⊟(⊺⇮2194⨎⊺⇮2265)≧⫂∧(⊺⇮1562⨰⊺⇮1934⨐⩸⫘(⨈⫕⊺⇮1501))","cot":[{"info":"⊺⇮6865⫸⊐⊺⇮3171=⊺⇮12559","layer":3},{"info":"⊺⇮12559⊪=⊺⇮0","layer":2},{"info":"⊺⇮2050⨽⊺⇮1365=⊺⇮-12610281","layer":3},{"info":"≦∁⊺⇮2809=⊺⇮2809","layer":3},{"info":"⊺⇮-12610281/⊺⇮2809=⊺⇮-4490","layer":2},{"info":"⊺⇮0≭⊺⇮-4490=NaN","layer":1},{"info":"⊺⇮2552+⇶⊼⊺⇮2290=NaN","layer":3},{"info":"⊺⇮2194⨎⊺⇮2265=⊺⇮2265","layer":3},{"info":"NaN∑⇟⊟⊺⇮2265=NaN","layer":2},{"info":"⊺⇮1562⨰⊺⇮1934=⊺⇮-362","layer":3},{"info":"⨈⫕⊺⇮1501=⊺⇮-21","layer":3},{"info":"⊺⇮-362⨐⩸⫘⊺⇮-21=⊺⇮24","layer":2},{"info":"NaN≧⫂∧⊺⇮24=⊺⇮-449","layer":1},{"info":"NaN/⊺⇮-449=NaN","layer":0}]}
{"id":794,"expression_no_base_symbol":"(($1897$⪒$3017$)⩤)⨪↰⇹($5596$⫥∨⫟$2223$⨽$6013$⋓$5080$)⩷∴(⨰⫟⨤(($1123$⊠≄⫣)⨓($3608$%$7183$)))","expression":"((⊺⇮1897⪒⊺⇮3017)⩤)⨪↰⇹(⊺⇮5596⫥∨⫟⊺⇮2223⨽⊺⇮6013⋓⊺⇮5080)⩷∴(⨰⫟⨤((⊺⇮1123⊠≄⫣)⨓(⊺⇮3608%⊺⇮7183)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":24055,"operation_count":11,"complexity_ratio":2186.818181818182,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1897,"base":10},"right_expr":{"type":"numeric_atoms","value":3017,"base":10}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5596,"base":10},"right_expr":{"type":"numeric_atoms","value":2223,"base":10}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":6013,"base":10},"right_expr":{"type":"numeric_atoms","value":5080,"base":10}}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1123,"base":10}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3608,"base":10},"right_expr":{"type":"numeric_atoms","value":7183,"base":10}}}}},"used_operators":["9FxExcQeMw","tmPS8pqC7x","Z2TMIBDE3Q","f6k1SAg4EE","8HhzD0ZcuI","KYD54nUTWz","T2fj7uvVaJ","Tw270M8GLb","3ViojmjbAp","DIvbN7qnHd","k8jYdgA6NY"],"dependent_operators":["rysDP5nf3Z","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1897","layer":4},{"info":"number node, value=3017","layer":4},{"info":"compute binary expreesion, left_input=1897, right_input=3017, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4914","layer":3},{"info":"compute unary expreesion, input=-4914, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=4914","layer":2},{"info":"number node, value=5596","layer":4},{"info":"number node, value=2223","layer":4},{"info":"compute binary expreesion, left_input=5596, right_input=2223, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=6013","layer":4},{"info":"number node, value=5080","layer":4},{"info":"compute binary expreesion, left_input=6013, right_input=5080, op_id = T2fj7uvVaJ binary_op_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 = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4914, 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=4914","layer":1},{"info":"number node, value=1123","layer":4},{"info":"compute unary expreesion, input=1123, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=3608","layer":4},{"info":"number node, value=7183","layer":4},{"info":"compute binary expreesion, left_input=3608, right_input=7183, op_id = k8jYdgA6NY binary_op_definition= 'None', output=3608","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3608, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3611","layer":2},{"info":"compute unary expreesion, input=-3611, 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=4914, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1897⪒⊺⇮3017)⩤)⨪↰⇹(⊺⇮5596⫥∨⫟⊺⇮2223⨽⊺⇮6013⋓⊺⇮5080)⩷∴(⨰⫟⨤((⊺⇮1123⊠≄⫣)⨓(⊺⇮3608%⊺⇮7183)))=NaN","reverse_text":"NaN=((⊺⇮1897⪒⊺⇮3017)⩤)⨪↰⇹(⊺⇮5596⫥∨⫟⊺⇮2223⨽⊺⇮6013⋓⊺⇮5080)⩷∴(⨰⫟⨤((⊺⇮1123⊠≄⫣)⨓(⊺⇮3608%⊺⇮7183)))","cot":[{"info":"⊺⇮1897⪒⊺⇮3017=⊺⇮-4914","layer":3},{"info":"⊺⇮-4914⩤=⊺⇮4914","layer":2},{"info":"⊺⇮5596⫥∨⫟⊺⇮2223=NaN","layer":3},{"info":"⊺⇮6013⋓⊺⇮5080=⊺⇮0","layer":3},{"info":"NaN⨽⊺⇮0=NaN","layer":2},{"info":"⊺⇮4914⨪↰⇹NaN=⊺⇮4914","layer":1},{"info":"⊺⇮1123⊠≄⫣=⊺⇮0","layer":3},{"info":"⊺⇮3608%⊺⇮7183=⊺⇮3608","layer":3},{"info":"⊺⇮0⨓⊺⇮3608=⊺⇮-3611","layer":2},{"info":"⨰⫟⨤⊺⇮-3611=NaN","layer":1},{"info":"⊺⇮4914⩷∴NaN=NaN","layer":0}]}
{"id":795,"expression_no_base_symbol":"((⨰⫟⨤$6593$)⩚⊴⇥($4248$⪒$2402$)-($2114$↙$6657$)+⇶⊼(⪲⇎$1144$))∼(((≤/$1116$)⨳⩥⨓($1599$/$5561$))⇷($2694$⪒$1648$⋷$1114$⪄$1176$))","expression":"((⨰⫟⨤⊺⇮6593)⩚⊴⇥(⊺⇮4248⪒⊺⇮2402)-(⊺⇮2114↙⊺⇮6657)+⇶⊼(⪲⇎⊺⇮1144))∼(((≤/⊺⇮1116)⨳⩥⨓(⊺⇮1599/⊺⇮5561))⇷(⊺⇮2694⪒⊺⇮1648⋷⊺⇮1114⪄⊺⇮1176))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":41164,"operation_count":15,"complexity_ratio":2744.266666666667,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":6593,"base":10}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":4248,"base":10},"right_expr":{"type":"numeric_atoms","value":2402,"base":10}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2114,"base":10},"right_expr":{"type":"numeric_atoms","value":6657,"base":10}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1144,"base":10}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1116,"base":10}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1599,"base":10},"right_expr":{"type":"numeric_atoms","value":5561,"base":10}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2694,"base":10},"right_expr":{"type":"numeric_atoms","value":1648,"base":10}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1114,"base":10},"right_expr":{"type":"numeric_atoms","value":1176,"base":10}}}}},"used_operators":["DyGG3AbaNP","rysDP5nf3Z","NTOWxs364D","Tw270M8GLb","f6k1SAg4EE","TpPTUOHfaN","yyfyN0ffXY","XPYlsWDdGa","mp7IySMOzn","nCS4ZIUYfx","eLAdDNolq6","XhwjNDsVaA","23Mk6UjR3U","SUmda5xLS4"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6593","layer":4},{"info":"compute unary expreesion, input=6593, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=4248","layer":4},{"info":"number node, value=2402","layer":4},{"info":"compute binary expreesion, left_input=4248, right_input=2402, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6650","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6650, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"number node, value=2114","layer":4},{"info":"number node, value=6657","layer":4},{"info":"compute binary expreesion, left_input=2114, right_input=6657, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-19971","layer":3},{"info":"number node, value=1144","layer":4},{"info":"compute unary expreesion, input=1144, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2288","layer":3},{"info":"compute binary expreesion, left_input=-19971, right_input=2288, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=1116","layer":4},{"info":"compute unary expreesion, input=1116, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-632","layer":3},{"info":"number node, value=1599","layer":4},{"info":"number node, value=5561","layer":4},{"info":"compute binary expreesion, left_input=1599, right_input=5561, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=-632, right_input=0, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=632","layer":2},{"info":"number node, value=2694","layer":4},{"info":"number node, value=1648","layer":4},{"info":"compute binary expreesion, left_input=2694, right_input=1648, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4342","layer":3},{"info":"number node, value=1114","layer":4},{"info":"number node, value=1176","layer":4},{"info":"compute binary expreesion, left_input=1114, right_input=1176, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-165665","layer":3},{"info":"compute binary expreesion, left_input=-4342, right_input=-165665, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=8684","layer":2},{"info":"compute binary expreesion, left_input=632, right_input=8684, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=17368","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=17368, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⨰⫟⨤⊺⇮6593)⩚⊴⇥(⊺⇮4248⪒⊺⇮2402)-(⊺⇮2114↙⊺⇮6657)+⇶⊼(⪲⇎⊺⇮1144))∼(((≤/⊺⇮1116)⨳⩥⨓(⊺⇮1599/⊺⇮5561))⇷(⊺⇮2694⪒⊺⇮1648⋷⊺⇮1114⪄⊺⇮1176))=NaN","reverse_text":"NaN=((⨰⫟⨤⊺⇮6593)⩚⊴⇥(⊺⇮4248⪒⊺⇮2402)-(⊺⇮2114↙⊺⇮6657)+⇶⊼(⪲⇎⊺⇮1144))∼(((≤/⊺⇮1116)⨳⩥⨓(⊺⇮1599/⊺⇮5561))⇷(⊺⇮2694⪒⊺⇮1648⋷⊺⇮1114⪄⊺⇮1176))","cot":[{"info":"⨰⫟⨤⊺⇮6593=NaN","layer":3},{"info":"⊺⇮4248⪒⊺⇮2402=⊺⇮-6650","layer":3},{"info":"NaN⩚⊴⇥⊺⇮-6650=NaN","layer":2},{"info":"⊺⇮2114↙⊺⇮6657=⊺⇮-19971","layer":3},{"info":"⪲⇎⊺⇮1144=⊺⇮2288","layer":3},{"info":"⊺⇮-19971+⇶⊼⊺⇮2288=NaN","layer":2},{"info":"NaN-NaN=NaN","layer":1},{"info":"≤/⊺⇮1116=⊺⇮-632","layer":3},{"info":"⊺⇮1599/⊺⇮5561=⊺⇮0","layer":3},{"info":"⊺⇮-632⨳⩥⨓⊺⇮0=⊺⇮632","layer":2},{"info":"⊺⇮2694⪒⊺⇮1648=⊺⇮-4342","layer":3},{"info":"⊺⇮1114⪄⊺⇮1176=⊺⇮-165665","layer":3},{"info":"⊺⇮-4342⋷⊺⇮-165665=⊺⇮8684","layer":2},{"info":"⊺⇮632⇷⊺⇮8684=⊺⇮17368","layer":1},{"info":"NaN∼⊺⇮17368=NaN","layer":0}]}
{"id":796,"expression_no_base_symbol":"(⇁⨣⪵(($2619$⩤)⩨$1501$≹⇙⪍$4632$))+⇶⊼(↣≠⋷((⫛⫱⨽$2151$)⊭↱($3779$⨸⪁$5845$)))","expression":"(⇁⨣⪵((⊺⇮2619⩤)⩨⊺⇮1501≹⇙⪍⊺⇮4632))+⇶⊼(↣≠⋷((⫛⫱⨽⊺⇮2151)⊭↱(⊺⇮3779⨸⪁⊺⇮5845)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1442,"operation_count":9,"complexity_ratio":160.22222222222223,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":2619,"base":10}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1501,"base":10},"right_expr":{"type":"numeric_atoms","value":4632,"base":10}}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2151,"base":10}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3779,"base":10},"right_expr":{"type":"numeric_atoms","value":5845,"base":10}}}}},"used_operators":["TpPTUOHfaN","inkyxCbjAn","2DlMacCsIx","Z2TMIBDE3Q","AHs5Up7iyr","Asc51vEJeQ","COABgblf1C","DlLNRPXxWL","g55IO6H4Gj"],"dependent_operators":["AHs5Up7iyr","B5M0gjZbta","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2619","layer":4},{"info":"compute unary expreesion, input=2619, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2619","layer":3},{"info":"number node, value=1501","layer":4},{"info":"number node, value=4632","layer":4},{"info":"compute binary expreesion, left_input=1501, right_input=4632, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=-2619, 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 = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"number node, value=2151","layer":4},{"info":"compute unary expreesion, input=2151, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=3779","layer":4},{"info":"number node, value=5845","layer":4},{"info":"compute binary expreesion, left_input=3779, right_input=5845, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=19248","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=19248, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=38501","layer":2},{"info":"compute unary expreesion, input=38501, 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":10,"result_base":10,"text":"(⇁⨣⪵((⊺⇮2619⩤)⩨⊺⇮1501≹⇙⪍⊺⇮4632))+⇶⊼(↣≠⋷((⫛⫱⨽⊺⇮2151)⊭↱(⊺⇮3779⨸⪁⊺⇮5845)))=NaN","reverse_text":"NaN=(⇁⨣⪵((⊺⇮2619⩤)⩨⊺⇮1501≹⇙⪍⊺⇮4632))+⇶⊼(↣≠⋷((⫛⫱⨽⊺⇮2151)⊭↱(⊺⇮3779⨸⪁⊺⇮5845)))","cot":[{"info":"⊺⇮2619⩤=⊺⇮-2619","layer":3},{"info":"⊺⇮1501≹⇙⪍⊺⇮4632=NaN","layer":3},{"info":"⊺⇮-2619⩨NaN=NaN","layer":2},{"info":"⇁⨣⪵NaN=NaN","layer":1},{"info":"⫛⫱⨽⊺⇮2151=⊺⇮0","layer":3},{"info":"⊺⇮3779⨸⪁⊺⇮5845=⊺⇮19248","layer":3},{"info":"⊺⇮0⊭↱⊺⇮19248=⊺⇮38501","layer":2},{"info":"↣≠⋷⊺⇮38501=NaN","layer":1},{"info":"NaN+⇶⊼NaN=NaN","layer":0}]}
{"id":797,"expression_no_base_symbol":"((↣≠⋷($4452$⨟⋌⩍$1581$))⨽($3688$∲⫓$7329$)⨽(↔$9048$))⫥∨⫟(≦∁(↽≂$6572$)⪄$3943$≭$5743$)","expression":"((↣≠⋷(⊺⇮4452⨟⋌⩍⊺⇮1581))⨽(⊺⇮3688∲⫓⊺⇮7329)⨽(↔⊺⇮9048))⫥∨⫟(≦∁(↽≂⊺⇮6572)⪄⊺⇮3943≭⊺⇮5743)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":284,"operation_count":11,"complexity_ratio":25.818181818181817,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4452,"base":10},"right_expr":{"type":"numeric_atoms","value":1581,"base":10}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3688,"base":10},"right_expr":{"type":"numeric_atoms","value":7329,"base":10}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":9048,"base":10}}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":6572,"base":10}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3943,"base":10},"right_expr":{"type":"numeric_atoms","value":5743,"base":10}}}}},"used_operators":["KYD54nUTWz","8HhzD0ZcuI","Asc51vEJeQ","rGHVDoGpnC","i8ToyICDmI","ruOEQAzv1W","9ICcGScMcE","SUmda5xLS4","u6S6b8DprG","rxpJgHHUmx"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","XhwjNDsVaA","AHs5Up7iyr","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4452","layer":4},{"info":"number node, value=1581","layer":4},{"info":"compute binary expreesion, left_input=4452, right_input=1581, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=3688","layer":4},{"info":"number node, value=7329","layer":4},{"info":"compute binary expreesion, left_input=3688, right_input=7329, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=9048","layer":4},{"info":"compute unary expreesion, input=9048, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-8775","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-8775, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=27639","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=27639, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"number node, value=6572","layer":4},{"info":"compute unary expreesion, input=6572, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-13144","layer":3},{"info":"number node, value=3943","layer":4},{"info":"number node, value=5743","layer":4},{"info":"compute binary expreesion, left_input=3943, right_input=5743, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=-13144, 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 unary expreesion, input=3979, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3979","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3979, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((↣≠⋷(⊺⇮4452⨟⋌⩍⊺⇮1581))⨽(⊺⇮3688∲⫓⊺⇮7329)⨽(↔⊺⇮9048))⫥∨⫟(≦∁(↽≂⊺⇮6572)⪄⊺⇮3943≭⊺⇮5743)=NaN","reverse_text":"NaN=((↣≠⋷(⊺⇮4452⨟⋌⩍⊺⇮1581))⨽(⊺⇮3688∲⫓⊺⇮7329)⨽(↔⊺⇮9048))⫥∨⫟(≦∁(↽≂⊺⇮6572)⪄⊺⇮3943≭⊺⇮5743)","cot":[{"info":"⊺⇮4452⨟⋌⩍⊺⇮1581=NaN","layer":3},{"info":"↣≠⋷NaN=NaN","layer":2},{"info":"⊺⇮3688∲⫓⊺⇮7329=⊺⇮0","layer":3},{"info":"↔⊺⇮9048=⊺⇮-8775","layer":3},{"info":"⊺⇮0⨽⊺⇮-8775=⊺⇮27639","layer":2},{"info":"NaN⨽⊺⇮27639=NaN","layer":1},{"info":"↽≂⊺⇮6572=⊺⇮-13144","layer":3},{"info":"⊺⇮3943≭⊺⇮5743=NaN","layer":3},{"info":"⊺⇮-13144⪄NaN=⊺⇮3979","layer":2},{"info":"≦∁⊺⇮3979=⊺⇮3979","layer":1},{"info":"NaN⫥∨⫟⊺⇮3979=NaN","layer":0}]}
{"id":798,"expression_no_base_symbol":"(((↯⪼$8486$)≎⊠⪸(⪝⪂⫅$1513$))⋝⋈⪟($2441$⨓$2391$)≹⇙⪍(∥⊫$4264$))∑⇟⊟(($1886$⋷$3504$)∀⇚≩($3483$⊭↱$2596$)/$1234$⇷$1417$≧⫂∧($8490$⫥∨⫟$1040$))","expression":"(((↯⪼⊺⇮8486)≎⊠⪸(⪝⪂⫅⊺⇮1513))⋝⋈⪟(⊺⇮2441⨓⊺⇮2391)≹⇙⪍(∥⊫⊺⇮4264))∑⇟⊟((⊺⇮1886⋷⊺⇮3504)∀⇚≩(⊺⇮3483⊭↱⊺⇮2596)/⊺⇮1234⇷⊺⇮1417≧⫂∧(⊺⇮8490⫥∨⫟⊺⇮1040))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":55899,"operation_count":15,"complexity_ratio":3726.6,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":8486,"base":10}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1513,"base":10}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2441,"base":10},"right_expr":{"type":"numeric_atoms","value":2391,"base":10}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":4264,"base":10}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1886,"base":10},"right_expr":{"type":"numeric_atoms","value":3504,"base":10}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3483,"base":10},"right_expr":{"type":"numeric_atoms","value":2596,"base":10}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1234,"base":10},"right_expr":{"type":"numeric_atoms","value":1417,"base":10}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":8490,"base":10},"right_expr":{"type":"numeric_atoms","value":1040,"base":10}}}}},"used_operators":["U7g4x0WXJJ","2DDjHMKMc0","bJkvcejdHO","8jW3W4yZS5","XTarYq4gQB","AHs5Up7iyr","3ViojmjbAp","P8v4zCKN1o","XhwjNDsVaA","LRNGc0VcxI","23Mk6UjR3U","COABgblf1C","Ph9nP6C5qx","mp7IySMOzn","KYD54nUTWz"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","9HNa5Wba9A","8w2t5hMYqp","dWAJyo7jo9","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=8486","layer":4},{"info":"compute unary expreesion, input=8486, 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=1513","layer":4},{"info":"compute unary expreesion, input=1513, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-222411","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-222411, 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=2441","layer":4},{"info":"number node, value=2391","layer":4},{"info":"compute binary expreesion, left_input=2441, right_input=2391, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2394","layer":3},{"info":"number node, value=4264","layer":4},{"info":"compute unary expreesion, input=4264, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=5132","layer":3},{"info":"compute binary expreesion, left_input=-2394, right_input=5132, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=1886","layer":4},{"info":"number node, value=3504","layer":4},{"info":"compute binary expreesion, left_input=1886, right_input=3504, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=5122","layer":3},{"info":"number node, value=3483","layer":4},{"info":"number node, value=2596","layer":4},{"info":"compute binary expreesion, left_input=3483, right_input=2596, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-1769","layer":3},{"info":"compute binary expreesion, left_input=5122, right_input=-1769, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1234","layer":4},{"info":"number node, value=1417","layer":4},{"info":"compute binary expreesion, left_input=1234, right_input=1417, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2834","layer":3},{"info":"number node, value=8490","layer":4},{"info":"number node, value=1040","layer":4},{"info":"compute binary expreesion, left_input=8490, right_input=1040, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2834, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', 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":10,"result_base":10,"text":"(((↯⪼⊺⇮8486)≎⊠⪸(⪝⪂⫅⊺⇮1513))⋝⋈⪟(⊺⇮2441⨓⊺⇮2391)≹⇙⪍(∥⊫⊺⇮4264))∑⇟⊟((⊺⇮1886⋷⊺⇮3504)∀⇚≩(⊺⇮3483⊭↱⊺⇮2596)/⊺⇮1234⇷⊺⇮1417≧⫂∧(⊺⇮8490⫥∨⫟⊺⇮1040))=NaN","reverse_text":"NaN=(((↯⪼⊺⇮8486)≎⊠⪸(⪝⪂⫅⊺⇮1513))⋝⋈⪟(⊺⇮2441⨓⊺⇮2391)≹⇙⪍(∥⊫⊺⇮4264))∑⇟⊟((⊺⇮1886⋷⊺⇮3504)∀⇚≩(⊺⇮3483⊭↱⊺⇮2596)/⊺⇮1234⇷⊺⇮1417≧⫂∧(⊺⇮8490⫥∨⫟⊺⇮1040))","cot":[{"info":"↯⪼⊺⇮8486=⊺⇮-21","layer":3},{"info":"⪝⪂⫅⊺⇮1513=⊺⇮-222411","layer":3},{"info":"⊺⇮-21≎⊠⪸⊺⇮-222411=⊺⇮67","layer":2},{"info":"⊺⇮2441⨓⊺⇮2391=⊺⇮-2394","layer":3},{"info":"∥⊫⊺⇮4264=⊺⇮5132","layer":3},{"info":"⊺⇮-2394≹⇙⪍⊺⇮5132=NaN","layer":2},{"info":"⊺⇮67⋝⋈⪟NaN=NaN","layer":1},{"info":"⊺⇮1886⋷⊺⇮3504=⊺⇮5122","layer":3},{"info":"⊺⇮3483⊭↱⊺⇮2596=⊺⇮-1769","layer":3},{"info":"⊺⇮5122∀⇚≩⊺⇮-1769=NaN","layer":2},{"info":"⊺⇮1234⇷⊺⇮1417=⊺⇮2834","layer":3},{"info":"⊺⇮8490⫥∨⫟⊺⇮1040=NaN","layer":3},{"info":"⊺⇮2834≧⫂∧NaN=NaN","layer":2},{"info":"NaN/NaN=NaN","layer":1},{"info":"NaN∑⇟⊟NaN=NaN","layer":0}]}
{"id":799,"expression_no_base_symbol":"(∂$3697$)⨪↰⇹($1300$≋⫹)⇼⇔∾(⊥(⨑⩽⪐$1512$))∲⫓(↯⪼($7801$⊉≛↸$1052$))⨸⪁$1820$⪢$2115$⩷∴$1210$⪮%⊝$1305$","expression":"(∂⊺⇮3697)⨪↰⇹(⊺⇮1300≋⫹)⇼⇔∾(⊥(⨑⩽⪐⊺⇮1512))∲⫓(↯⪼(⊺⇮7801⊉≛↸⊺⇮1052))⨸⪁⊺⇮1820⪢⊺⇮2115⩷∴⊺⇮1210⪮%⊝⊺⇮1305","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2180,"operation_count":13,"complexity_ratio":167.69230769230768,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":3697,"base":10}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1300,"base":10}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1512,"base":10}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":7801,"base":10},"right_expr":{"type":"numeric_atoms","value":1052,"base":10}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1820,"base":10},"right_expr":{"type":"numeric_atoms","value":2115,"base":10}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1210,"base":10},"right_expr":{"type":"numeric_atoms","value":1305,"base":10}}}}},"used_operators":["i8ToyICDmI","tifHPKVTfV","tmPS8pqC7x","Uaa54Peajs","N41Kp7NANJ","Q3PJZHRvZv","AF7qkfDlqP","g55IO6H4Gj","8jW3W4yZS5","DZ8iAZOCBD","9FxExcQeMw","dWAJyo7jo9","IWmyXbctLI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","k8jYdgA6NY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3697","layer":4},{"info":"compute unary expreesion, input=3697, 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=1300","layer":4},{"info":"compute unary expreesion, input=1300, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2600","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2600, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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=1512","layer":4},{"info":"compute unary expreesion, input=1512, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1239","layer":3},{"info":"compute unary expreesion, input=-1239, 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 = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=7801","layer":4},{"info":"number node, value=1052","layer":4},{"info":"compute binary expreesion, left_input=7801, right_input=1052, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=15602","layer":3},{"info":"compute unary expreesion, input=15602, 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=1820","layer":4},{"info":"number node, value=2115","layer":4},{"info":"compute binary expreesion, left_input=1820, right_input=2115, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1210","layer":4},{"info":"number node, value=1305","layer":4},{"info":"compute binary expreesion, left_input=1210, right_input=1305, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2736","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2736, 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=-21, 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 = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(∂⊺⇮3697)⨪↰⇹(⊺⇮1300≋⫹)⇼⇔∾(⊥(⨑⩽⪐⊺⇮1512))∲⫓(↯⪼(⊺⇮7801⊉≛↸⊺⇮1052))⨸⪁⊺⇮1820⪢⊺⇮2115⩷∴⊺⇮1210⪮%⊝⊺⇮1305=NaN","reverse_text":"NaN=(∂⊺⇮3697)⨪↰⇹(⊺⇮1300≋⫹)⇼⇔∾(⊥(⨑⩽⪐⊺⇮1512))∲⫓(↯⪼(⊺⇮7801⊉≛↸⊺⇮1052))⨸⪁⊺⇮1820⪢⊺⇮2115⩷∴⊺⇮1210⪮%⊝⊺⇮1305","cot":[{"info":"∂⊺⇮3697=NaN","layer":3},{"info":"⊺⇮1300≋⫹=⊺⇮-2600","layer":3},{"info":"NaN⨪↰⇹⊺⇮-2600=NaN","layer":2},{"info":"⨑⩽⪐⊺⇮1512=⊺⇮-1239","layer":3},{"info":"⊥⊺⇮-1239=NaN","layer":2},{"info":"NaN⇼⇔∾NaN=NaN","layer":1},{"info":"⊺⇮7801⊉≛↸⊺⇮1052=⊺⇮15602","layer":3},{"info":"↯⪼⊺⇮15602=⊺⇮-21","layer":2},{"info":"⊺⇮1820⪢⊺⇮2115=NaN","layer":3},{"info":"⊺⇮1210⪮%⊝⊺⇮1305=⊺⇮2736","layer":3},{"info":"NaN⩷∴⊺⇮2736=NaN","layer":2},{"info":"⊺⇮-21⨸⪁NaN=NaN","layer":1},{"info":"NaN∲⫓NaN=NaN","layer":0}]}
{"id":800,"expression_no_base_symbol":"⋗⩬⋾(($8068$⪨≂$3845$)⋝⋈⪟$1201$⨓$1614$)⨪↰⇹(($1265$⊠≄⫣)⪒(+⊝⨔$2586$))","expression":"⋗⩬⋾((⊺⇮8068⪨≂⊺⇮3845)⋝⋈⪟⊺⇮1201⨓⊺⇮1614)⨪↰⇹((⊺⇮1265⊠≄⫣)⪒(+⊝⨔⊺⇮2586))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":10225,"operation_count":8,"complexity_ratio":1278.125,"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":8068,"base":10},"right_expr":{"type":"numeric_atoms","value":3845,"base":10}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1201,"base":10},"right_expr":{"type":"numeric_atoms","value":1614,"base":10}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1265,"base":10}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2586,"base":10}}}}},"used_operators":["DpFCA1CohY","tmPS8pqC7x","2DDjHMKMc0","sdazOOVcIp","3ViojmjbAp","f6k1SAg4EE","DIvbN7qnHd","DhbWaqg5eL"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"⊺⇮-25644","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=8068","layer":4},{"info":"number node, value=3845","layer":4},{"info":"compute binary expreesion, left_input=8068, right_input=3845, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=8548","layer":3},{"info":"number node, value=1201","layer":4},{"info":"number node, value=1614","layer":4},{"info":"compute binary expreesion, left_input=1201, right_input=1614, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1617","layer":3},{"info":"compute binary expreesion, left_input=8548, right_input=-1617, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=8548","layer":2},{"info":"number node, value=1265","layer":4},{"info":"compute unary expreesion, input=1265, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=2586","layer":4},{"info":"compute unary expreesion, input=2586, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1522, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-1522","layer":2},{"info":"compute binary expreesion, left_input=8548, right_input=-1522, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=8548","layer":1},{"info":"compute unary expreesion, input=8548, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-25644","layer":0}],"base":10,"result_base":10,"text":"⋗⩬⋾((⊺⇮8068⪨≂⊺⇮3845)⋝⋈⪟⊺⇮1201⨓⊺⇮1614)⨪↰⇹((⊺⇮1265⊠≄⫣)⪒(+⊝⨔⊺⇮2586))=⊺⇮-25644","reverse_text":"⊺⇮-25644=⋗⩬⋾((⊺⇮8068⪨≂⊺⇮3845)⋝⋈⪟⊺⇮1201⨓⊺⇮1614)⨪↰⇹((⊺⇮1265⊠≄⫣)⪒(+⊝⨔⊺⇮2586))","cot":[{"info":"⊺⇮8068⪨≂⊺⇮3845=⊺⇮8548","layer":3},{"info":"⊺⇮1201⨓⊺⇮1614=⊺⇮-1617","layer":3},{"info":"⊺⇮8548⋝⋈⪟⊺⇮-1617=⊺⇮8548","layer":2},{"info":"⊺⇮1265⊠≄⫣=⊺⇮0","layer":3},{"info":"+⊝⨔⊺⇮2586=⊺⇮1522","layer":3},{"info":"⊺⇮0⪒⊺⇮1522=⊺⇮-1522","layer":2},{"info":"⊺⇮8548⨪↰⇹⊺⇮-1522=⊺⇮8548","layer":1},{"info":"⋗⩬⋾⊺⇮8548=⊺⇮-25644","layer":0}]}
{"id":801,"expression_no_base_symbol":"⊥(⨵≀≌($1101$⫥∨⫟$1693$)↬($1060$⋷$2484$))","expression":"⊥(⨵≀≌(⊺⇮1101⫥∨⫟⊺⇮1693)↬(⊺⇮1060⋷⊺⇮2484))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":162,"operation_count":5,"complexity_ratio":32.4,"tree":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1101,"base":10},"right_expr":{"type":"numeric_atoms","value":1693,"base":10}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1060,"base":10},"right_expr":{"type":"numeric_atoms","value":2484,"base":10}}}}},"used_operators":["Q3PJZHRvZv","srAu1WTS94","B5M0gjZbta","KYD54nUTWz","23Mk6UjR3U"],"dependent_operators":["fu6greOZ01","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rGHVDoGpnC","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=1101","layer":4},{"info":"number node, value=1693","layer":4},{"info":"compute binary expreesion, left_input=1101, right_input=1693, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1060","layer":4},{"info":"number node, value=2484","layer":4},{"info":"compute binary expreesion, left_input=1060, right_input=2484, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3908","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3908, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , 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":10,"result_base":10,"text":"⊥(⨵≀≌(⊺⇮1101⫥∨⫟⊺⇮1693)↬(⊺⇮1060⋷⊺⇮2484))=NaN","reverse_text":"NaN=⊥(⨵≀≌(⊺⇮1101⫥∨⫟⊺⇮1693)↬(⊺⇮1060⋷⊺⇮2484))","cot":[{"info":"⊺⇮1101⫥∨⫟⊺⇮1693=NaN","layer":3},{"info":"⊺⇮1060⋷⊺⇮2484=⊺⇮3908","layer":3},{"info":"NaN↬⊺⇮3908=NaN","layer":2},{"info":"⨵≀≌NaN=NaN","layer":1},{"info":"⊥NaN=NaN","layer":0}]}
{"id":802,"expression_no_base_symbol":"((($1864$-$6397$)⋫)∸)⋷(↣≠⋷(∂$1055$))⇷($5286$⨰$1573$⊭↱$2276$⨟⋌⩍$4007$)","expression":"(((⊺⇮1864-⊺⇮6397)⋫)∸)⋷(↣≠⋷(∂⊺⇮1055))⇷(⊺⇮5286⨰⊺⇮1573⊭↱⊺⇮2276⨟⋌⩍⊺⇮4007)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4737,"operation_count":10,"complexity_ratio":473.7,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1864,"base":10},"right_expr":{"type":"numeric_atoms","value":6397,"base":10}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1055,"base":10}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":5286,"base":10},"right_expr":{"type":"numeric_atoms","value":1573,"base":10}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2276,"base":10},"right_expr":{"type":"numeric_atoms","value":4007,"base":10}}}}},"used_operators":["23Mk6UjR3U","o20kRiQErp","JL8yIekQnl","rysDP5nf3Z","mp7IySMOzn","Asc51vEJeQ","Uaa54Peajs","COABgblf1C","eewbuw0ToL","rGHVDoGpnC"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","tmPS8pqC7x","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","XhwjNDsVaA","AHs5Up7iyr","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr"],"result":"⊺⇮-354","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1864","layer":4},{"info":"number node, value=6397","layer":4},{"info":"compute binary expreesion, left_input=1864, right_input=6397, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-4533","layer":3},{"info":"compute unary expreesion, input=-4533, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=4533","layer":2},{"info":"compute unary expreesion, input=4533, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"number node, value=1055","layer":4},{"info":"compute unary expreesion, input=1055, 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 = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=5286","layer":4},{"info":"number node, value=1573","layer":4},{"info":"compute binary expreesion, left_input=5286, right_input=1573, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=3723","layer":3},{"info":"number node, value=2276","layer":4},{"info":"number node, value=4007","layer":4},{"info":"compute binary expreesion, left_input=2276, right_input=4007, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=3723, 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 = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=177, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-354","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮1864-⊺⇮6397)⋫)∸)⋷(↣≠⋷(∂⊺⇮1055))⇷(⊺⇮5286⨰⊺⇮1573⊭↱⊺⇮2276⨟⋌⩍⊺⇮4007)=⊺⇮-354","reverse_text":"⊺⇮-354=(((⊺⇮1864-⊺⇮6397)⋫)∸)⋷(↣≠⋷(∂⊺⇮1055))⇷(⊺⇮5286⨰⊺⇮1573⊭↱⊺⇮2276⨟⋌⩍⊺⇮4007)","cot":[{"info":"⊺⇮1864-⊺⇮6397=⊺⇮-4533","layer":3},{"info":"⊺⇮-4533⋫=⊺⇮4533","layer":2},{"info":"⊺⇮4533∸=⊺⇮177","layer":1},{"info":"∂⊺⇮1055=NaN","layer":3},{"info":"↣≠⋷NaN=NaN","layer":2},{"info":"⊺⇮5286⨰⊺⇮1573=⊺⇮3723","layer":3},{"info":"⊺⇮2276⨟⋌⩍⊺⇮4007=NaN","layer":3},{"info":"⊺⇮3723⊭↱NaN=NaN","layer":2},{"info":"NaN⇷NaN=NaN","layer":1},{"info":"⊺⇮177⋷NaN=⊺⇮-354","layer":0}]}
{"id":803,"expression_no_base_symbol":"(($3153$⨳⩥⨓$1860$-($2031$⇋≉))⋫)⊦⊿","expression":"((⊺⇮3153⨳⩥⨓⊺⇮1860-(⊺⇮2031⇋≉))⋫)⊦⊿","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":5270,"operation_count":5,"complexity_ratio":1054.0,"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":3153,"base":10},"right_expr":{"type":"numeric_atoms","value":1860,"base":10}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":2031,"base":10}}}}},"used_operators":["14qkJME0vr","JL8yIekQnl","rysDP5nf3Z","nCS4ZIUYfx","XIabStNQrY"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"⊺⇮-15850","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3153","layer":4},{"info":"number node, value=1860","layer":4},{"info":"compute binary expreesion, left_input=3153, right_input=1860, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1293","layer":3},{"info":"number node, value=2031","layer":4},{"info":"compute unary expreesion, input=2031, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=3964","layer":3},{"info":"compute binary expreesion, left_input=-1293, right_input=3964, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-5257","layer":2},{"info":"compute unary expreesion, input=-5257, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=5257","layer":1},{"info":"compute unary expreesion, input=5257, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-15850","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮3153⨳⩥⨓⊺⇮1860-(⊺⇮2031⇋≉))⋫)⊦⊿=⊺⇮-15850","reverse_text":"⊺⇮-15850=((⊺⇮3153⨳⩥⨓⊺⇮1860-(⊺⇮2031⇋≉))⋫)⊦⊿","cot":[{"info":"⊺⇮3153⨳⩥⨓⊺⇮1860=⊺⇮-1293","layer":3},{"info":"⊺⇮2031⇋≉=⊺⇮3964","layer":3},{"info":"⊺⇮-1293-⊺⇮3964=⊺⇮-5257","layer":2},{"info":"⊺⇮-5257⋫=⊺⇮5257","layer":1},{"info":"⊺⇮5257⊦⊿=⊺⇮-15850","layer":0}]}
{"id":804,"expression_no_base_symbol":"(≦∁($1987$-$1879$)+⇶⊼$6249$⪢$1155$)⨓(⨞⊢($1020$*$1777$))⨪↰⇹($1090$⊴$1767$⩨$1515$∀⇚≩$1545$)","expression":"(≦∁(⊺⇮1987-⊺⇮1879)+⇶⊼⊺⇮6249⪢⊺⇮1155)⨓(⨞⊢(⊺⇮1020*⊺⇮1777))⨪↰⇹(⊺⇮1090⊴⊺⇮1767⩨⊺⇮1515∀⇚≩⊺⇮1545)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":18611,"operation_count":11,"complexity_ratio":1691.909090909091,"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":1987,"base":10},"right_expr":{"type":"numeric_atoms","value":1879,"base":10}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":6249,"base":10},"right_expr":{"type":"numeric_atoms","value":1155,"base":10}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1020,"base":10},"right_expr":{"type":"numeric_atoms","value":1777,"base":10}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1090,"base":10},"right_expr":{"type":"numeric_atoms","value":1767,"base":10}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1515,"base":10},"right_expr":{"type":"numeric_atoms","value":1545,"base":10}}}}},"used_operators":["3ViojmjbAp","9ICcGScMcE","TpPTUOHfaN","rysDP5nf3Z","dWAJyo7jo9","tmPS8pqC7x","xUOZtlo3hN","9HNa5Wba9A","2DlMacCsIx","Nsiff2A1zJ","LRNGc0VcxI"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","AHs5Up7iyr","k8jYdgA6NY","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","14qkJME0vr","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1987","layer":4},{"info":"number node, value=1879","layer":4},{"info":"compute binary expreesion, left_input=1987, right_input=1879, op_id = rysDP5nf3Z binary_op_definition= 'None', output=108","layer":3},{"info":"number node, value=6249","layer":4},{"info":"number node, value=1155","layer":4},{"info":"compute binary expreesion, left_input=6249, right_input=1155, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=108, 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 = 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=1020","layer":4},{"info":"number node, value=1777","layer":4},{"info":"compute binary expreesion, left_input=1020, right_input=1777, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=1812540","layer":3},{"info":"compute unary expreesion, input=1812540, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1812714","layer":2},{"info":"number node, value=1090","layer":4},{"info":"number node, value=1767","layer":4},{"info":"compute binary expreesion, left_input=1090, right_input=1767, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1515","layer":4},{"info":"number node, value=1545","layer":4},{"info":"compute binary expreesion, left_input=1515, right_input=1545, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1812714, 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 = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(≦∁(⊺⇮1987-⊺⇮1879)+⇶⊼⊺⇮6249⪢⊺⇮1155)⨓(⨞⊢(⊺⇮1020*⊺⇮1777))⨪↰⇹(⊺⇮1090⊴⊺⇮1767⩨⊺⇮1515∀⇚≩⊺⇮1545)=NaN","reverse_text":"NaN=(≦∁(⊺⇮1987-⊺⇮1879)+⇶⊼⊺⇮6249⪢⊺⇮1155)⨓(⨞⊢(⊺⇮1020*⊺⇮1777))⨪↰⇹(⊺⇮1090⊴⊺⇮1767⩨⊺⇮1515∀⇚≩⊺⇮1545)","cot":[{"info":"⊺⇮1987-⊺⇮1879=⊺⇮108","layer":3},{"info":"⊺⇮6249⪢⊺⇮1155=NaN","layer":3},{"info":"⊺⇮108+⇶⊼NaN=NaN","layer":2},{"info":"≦∁NaN=NaN","layer":1},{"info":"⊺⇮1020*⊺⇮1777=⊺⇮1812540","layer":3},{"info":"⨞⊢⊺⇮1812540=⊺⇮-1812714","layer":2},{"info":"⊺⇮1090⊴⊺⇮1767=NaN","layer":3},{"info":"⊺⇮1515∀⇚≩⊺⇮1545=NaN","layer":3},{"info":"NaN⩨NaN=NaN","layer":2},{"info":"⊺⇮-1812714⨪↰⇹NaN=NaN","layer":1},{"info":"NaN⨓NaN=NaN","layer":0}]}
{"id":805,"expression_no_base_symbol":"($1059$⪒$3088$)⋓($1793$≣⋋)≎⊠⪸($2394$⫸⊐$1384$)∼($1133$⨳⩥⨓$5231$)⨸⪁(($1589$-$1969$)⨪↰⇹(⫓⪴$3961$)≫≃)","expression":"(⊺⇮1059⪒⊺⇮3088)⋓(⊺⇮1793≣⋋)≎⊠⪸(⊺⇮2394⫸⊐⊺⇮1384)∼(⊺⇮1133⨳⩥⨓⊺⇮5231)⨸⪁((⊺⇮1589-⊺⇮1969)⨪↰⇹(⫓⪴⊺⇮3961)≫≃)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5028,"operation_count":12,"complexity_ratio":419.0,"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":1059,"base":10},"right_expr":{"type":"numeric_atoms","value":3088,"base":10}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":1793,"base":10}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2394,"base":10},"right_expr":{"type":"numeric_atoms","value":1384,"base":10}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1133,"base":10},"right_expr":{"type":"numeric_atoms","value":5231,"base":10}}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1589,"base":10},"right_expr":{"type":"numeric_atoms","value":1969,"base":10}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":3961,"base":10}}}}},"used_operators":["g55IO6H4Gj","bJkvcejdHO","T2fj7uvVaJ","f6k1SAg4EE","Tcnh7f0tEr","DyGG3AbaNP","mqXw5SEYmG","nCS4ZIUYfx","X99M06cbEe","tmPS8pqC7x","rysDP5nf3Z","eLxqMNBOBk"],"dependent_operators":["W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rJVOvQCfKK","9HNa5Wba9A"],"result":"⊺⇮1416","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1059","layer":4},{"info":"number node, value=3088","layer":4},{"info":"compute binary expreesion, left_input=1059, right_input=3088, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4147","layer":3},{"info":"number node, value=1793","layer":4},{"info":"compute unary expreesion, input=1793, 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=-4147, 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=2394","layer":4},{"info":"number node, value=1384","layer":4},{"info":"compute binary expreesion, left_input=2394, 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":"number node, value=1133","layer":4},{"info":"number node, value=5231","layer":4},{"info":"compute binary expreesion, left_input=1133, right_input=5231, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=4098","layer":3},{"info":"compute binary expreesion, left_input=5411, right_input=4098, 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 = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"number node, value=1589","layer":4},{"info":"number node, value=1969","layer":4},{"info":"compute binary expreesion, left_input=1589, right_input=1969, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-380","layer":3},{"info":"number node, value=3961","layer":4},{"info":"compute unary expreesion, input=3961, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=15689521","layer":3},{"info":"compute binary expreesion, left_input=-380, right_input=15689521, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=-380","layer":2},{"info":"compute unary expreesion, input=-380, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=641","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=641, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=1416","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1059⪒⊺⇮3088)⋓(⊺⇮1793≣⋋)≎⊠⪸(⊺⇮2394⫸⊐⊺⇮1384)∼(⊺⇮1133⨳⩥⨓⊺⇮5231)⨸⪁((⊺⇮1589-⊺⇮1969)⨪↰⇹(⫓⪴⊺⇮3961)≫≃)=⊺⇮1416","reverse_text":"⊺⇮1416=(⊺⇮1059⪒⊺⇮3088)⋓(⊺⇮1793≣⋋)≎⊠⪸(⊺⇮2394⫸⊐⊺⇮1384)∼(⊺⇮1133⨳⩥⨓⊺⇮5231)⨸⪁((⊺⇮1589-⊺⇮1969)⨪↰⇹(⫓⪴⊺⇮3961)≫≃)","cot":[{"info":"⊺⇮1059⪒⊺⇮3088=⊺⇮-4147","layer":3},{"info":"⊺⇮1793≣⋋=⊺⇮0","layer":3},{"info":"⊺⇮-4147⋓⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮2394⫸⊐⊺⇮1384=⊺⇮5411","layer":3},{"info":"⊺⇮1133⨳⩥⨓⊺⇮5231=⊺⇮4098","layer":3},{"info":"⊺⇮5411∼⊺⇮4098=NaN","layer":2},{"info":"⊺⇮0≎⊠⪸NaN=⊺⇮67","layer":1},{"info":"⊺⇮1589-⊺⇮1969=⊺⇮-380","layer":3},{"info":"⫓⪴⊺⇮3961=⊺⇮15689521","layer":3},{"info":"⊺⇮-380⨪↰⇹⊺⇮15689521=⊺⇮-380","layer":2},{"info":"⊺⇮-380≫≃=⊺⇮641","layer":1},{"info":"⊺⇮67⨸⪁⊺⇮641=⊺⇮1416","layer":0}]}
{"id":806,"expression_no_base_symbol":"($2097$⫩⊇)≎⊠⪸(↔$1165$)⇼⇔∾(($4707$⨵⪆$2096$)⊭∹↮)≋⫹","expression":"(⊺⇮2097⫩⊇)≎⊠⪸(↔⊺⇮1165)⇼⇔∾((⊺⇮4707⨵⪆⊺⇮2096)⊭∹↮)≋⫹","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":27,"operation_count":7,"complexity_ratio":3.857142857142857,"tree":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":2097,"base":10}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1165,"base":10}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":4707,"base":10},"right_expr":{"type":"numeric_atoms","value":2096,"base":10}}}}},"used_operators":["N41Kp7NANJ","tifHPKVTfV","bJkvcejdHO","BjRHVeLaeN","ruOEQAzv1W","xNBdhnnwKq","2DQ55sFlQl"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"⊺⇮-186","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2097","layer":4},{"info":"compute unary expreesion, input=2097, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-2055","layer":3},{"info":"number node, value=1165","layer":4},{"info":"compute unary expreesion, input=1165, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-892","layer":3},{"info":"compute binary expreesion, left_input=-2055, right_input=-892, 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=4707","layer":4},{"info":"number node, value=2096","layer":4},{"info":"compute binary expreesion, left_input=4707, right_input=2096, 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 = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=160, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=93","layer":1},{"info":"compute unary expreesion, input=93, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-186","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮2097⫩⊇)≎⊠⪸(↔⊺⇮1165)⇼⇔∾((⊺⇮4707⨵⪆⊺⇮2096)⊭∹↮)≋⫹=⊺⇮-186","reverse_text":"⊺⇮-186=(⊺⇮2097⫩⊇)≎⊠⪸(↔⊺⇮1165)⇼⇔∾((⊺⇮4707⨵⪆⊺⇮2096)⊭∹↮)≋⫹","cot":[{"info":"⊺⇮2097⫩⊇=⊺⇮-2055","layer":3},{"info":"↔⊺⇮1165=⊺⇮-892","layer":3},{"info":"⊺⇮-2055≎⊠⪸⊺⇮-892=⊺⇮67","layer":2},{"info":"⊺⇮4707⨵⪆⊺⇮2096=⊺⇮160","layer":3},{"info":"⊺⇮160⊭∹↮=⊺⇮160","layer":2},{"info":"⊺⇮67⇼⇔∾⊺⇮160=⊺⇮93","layer":1},{"info":"⊺⇮93≋⫹=⊺⇮-186","layer":0}]}
{"id":807,"expression_no_base_symbol":"(⫓⪴($1750$⩷∴$1819$))⨰(∂$1161$)⪘⫢($2981$⇼⇔∾$1475$)⋝⋈⪟(($3733$⇋≉)≎⊠⪸$1293$≧⫂∧$2874$⊭↱($8110$∀⇚≩$1609$⊉≛↸$3314$⩷∴$2804$))","expression":"(⫓⪴(⊺⇮1750⩷∴⊺⇮1819))⨰(∂⊺⇮1161)⪘⫢(⊺⇮2981⇼⇔∾⊺⇮1475)⋝⋈⪟((⊺⇮3733⇋≉)≎⊠⪸⊺⇮1293≧⫂∧⊺⇮2874⊭↱(⊺⇮8110∀⇚≩⊺⇮1609⊉≛↸⊺⇮3314⩷∴⊺⇮2804))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":57255,"operation_count":14,"complexity_ratio":4089.6428571428573,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1750,"base":10},"right_expr":{"type":"numeric_atoms","value":1819,"base":10}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1161,"base":10}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2981,"base":10},"right_expr":{"type":"numeric_atoms","value":1475,"base":10}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":3733,"base":10}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1293,"base":10},"right_expr":{"type":"numeric_atoms","value":2874,"base":10}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":8110,"base":10},"right_expr":{"type":"numeric_atoms","value":1609,"base":10}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3314,"base":10},"right_expr":{"type":"numeric_atoms","value":2804,"base":10}}}}},"used_operators":["2DDjHMKMc0","eewbuw0ToL","eLxqMNBOBk","9FxExcQeMw","oacrs7FA3X","Uaa54Peajs","tifHPKVTfV","COABgblf1C","bJkvcejdHO","XIabStNQrY","Ph9nP6C5qx","DZ8iAZOCBD","LRNGc0VcxI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1750","layer":4},{"info":"number node, value=1819","layer":4},{"info":"compute binary expreesion, left_input=1750, right_input=1819, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-170","layer":3},{"info":"compute unary expreesion, input=-170, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=28900","layer":2},{"info":"number node, value=1161","layer":4},{"info":"compute unary expreesion, input=1161, 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=2981","layer":4},{"info":"number node, value=1475","layer":4},{"info":"compute binary expreesion, left_input=2981, right_input=1475, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1506","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1506, 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=28900, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"number node, value=3733","layer":4},{"info":"compute unary expreesion, input=3733, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=7368","layer":3},{"info":"number node, value=1293","layer":4},{"info":"number node, value=2874","layer":4},{"info":"compute binary expreesion, left_input=1293, right_input=2874, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2401","layer":3},{"info":"compute binary expreesion, left_input=7368, right_input=2401, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1907839","layer":2},{"info":"number node, value=8110","layer":4},{"info":"number node, value=1609","layer":4},{"info":"compute binary expreesion, left_input=8110, right_input=1609, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=3314","layer":4},{"info":"number node, value=2804","layer":4},{"info":"compute binary expreesion, left_input=3314, right_input=2804, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=988","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=988, 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=1907839, 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 = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⫓⪴(⊺⇮1750⩷∴⊺⇮1819))⨰(∂⊺⇮1161)⪘⫢(⊺⇮2981⇼⇔∾⊺⇮1475)⋝⋈⪟((⊺⇮3733⇋≉)≎⊠⪸⊺⇮1293≧⫂∧⊺⇮2874⊭↱(⊺⇮8110∀⇚≩⊺⇮1609⊉≛↸⊺⇮3314⩷∴⊺⇮2804))=NaN","reverse_text":"NaN=(⫓⪴(⊺⇮1750⩷∴⊺⇮1819))⨰(∂⊺⇮1161)⪘⫢(⊺⇮2981⇼⇔∾⊺⇮1475)⋝⋈⪟((⊺⇮3733⇋≉)≎⊠⪸⊺⇮1293≧⫂∧⊺⇮2874⊭↱(⊺⇮8110∀⇚≩⊺⇮1609⊉≛↸⊺⇮3314⩷∴⊺⇮2804))","cot":[{"info":"⊺⇮1750⩷∴⊺⇮1819=⊺⇮-170","layer":3},{"info":"⫓⪴⊺⇮-170=⊺⇮28900","layer":2},{"info":"∂⊺⇮1161=NaN","layer":3},{"info":"⊺⇮2981⇼⇔∾⊺⇮1475=⊺⇮-1506","layer":3},{"info":"NaN⪘⫢⊺⇮-1506=NaN","layer":2},{"info":"⊺⇮28900⨰NaN=NaN","layer":1},{"info":"⊺⇮3733⇋≉=⊺⇮7368","layer":3},{"info":"⊺⇮1293≧⫂∧⊺⇮2874=⊺⇮2401","layer":3},{"info":"⊺⇮7368≎⊠⪸⊺⇮2401=⊺⇮1907839","layer":2},{"info":"⊺⇮8110∀⇚≩⊺⇮1609=NaN","layer":3},{"info":"⊺⇮3314⩷∴⊺⇮2804=⊺⇮988","layer":3},{"info":"NaN⊉≛↸⊺⇮988=NaN","layer":2},{"info":"⊺⇮1907839⊭↱NaN=NaN","layer":1},{"info":"NaN⋝⋈⪟NaN=NaN","layer":0}]}
{"id":808,"expression_no_base_symbol":"(⩦⩻⨪$1074$)⪮%⊝($3245$⨪↰⇹$4347$)⋥≓≎(↔($2066$⪮%⊝$2261$))⨳⩥⨓((⊥$3741$)+⇶⊼($6284$⨐⩸⫘$7433$))⪘⫢($5098$⨓$1004$⋥≓≎$2353$≎⊠⪸$1337$)","expression":"(⩦⩻⨪⊺⇮1074)⪮%⊝(⊺⇮3245⨪↰⇹⊺⇮4347)⋥≓≎(↔(⊺⇮2066⪮%⊝⊺⇮2261))⨳⩥⨓((⊥⊺⇮3741)+⇶⊼(⊺⇮6284⨐⩸⫘⊺⇮7433))⪘⫢(⊺⇮5098⨓⊺⇮1004⋥≓≎⊺⇮2353≎⊠⪸⊺⇮1337)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4574,"operation_count":14,"complexity_ratio":326.7142857142857,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1074,"base":10}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3245,"base":10},"right_expr":{"type":"numeric_atoms","value":4347,"base":10}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2066,"base":10},"right_expr":{"type":"numeric_atoms","value":2261,"base":10}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":3741,"base":10}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":6284,"base":10},"right_expr":{"type":"numeric_atoms","value":7433,"base":10}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":5098,"base":10},"right_expr":{"type":"numeric_atoms","value":1004,"base":10}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2353,"base":10},"right_expr":{"type":"numeric_atoms","value":1337,"base":10}}}}},"used_operators":["nCS4ZIUYfx","Qy55tPpLXF","IWmyXbctLI","2td37pGCOC","tmPS8pqC7x","ruOEQAzv1W","oacrs7FA3X","TpPTUOHfaN","Q3PJZHRvZv","fu6greOZ01","3ViojmjbAp","bJkvcejdHO"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","AHs5Up7iyr","fu6greOZ01","3ViojmjbAp","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1074","layer":4},{"info":"compute unary expreesion, input=1074, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1074","layer":3},{"info":"number node, value=3245","layer":4},{"info":"number node, value=4347","layer":4},{"info":"compute binary expreesion, left_input=3245, right_input=4347, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3245","layer":3},{"info":"compute binary expreesion, left_input=1074, right_input=3245, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2464","layer":2},{"info":"number node, value=2066","layer":4},{"info":"number node, value=2261","layer":4},{"info":"compute binary expreesion, left_input=2066, right_input=2261, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4448","layer":3},{"info":"compute unary expreesion, input=4448, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-4175","layer":2},{"info":"compute binary expreesion, left_input=2464, right_input=-4175, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-10781","layer":1},{"info":"number node, value=3741","layer":4},{"info":"compute unary expreesion, input=3741, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=6284","layer":4},{"info":"number node, value=7433","layer":4},{"info":"compute binary expreesion, left_input=6284, right_input=7433, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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 = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=5098","layer":4},{"info":"number node, value=1004","layer":4},{"info":"compute binary expreesion, left_input=5098, right_input=1004, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1007","layer":3},{"info":"number node, value=2353","layer":4},{"info":"number node, value=1337","layer":4},{"info":"compute binary expreesion, left_input=2353, right_input=1337, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=608954","layer":3},{"info":"compute binary expreesion, left_input=-1007, right_input=608954, 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 = 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=-10781, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⩦⩻⨪⊺⇮1074)⪮%⊝(⊺⇮3245⨪↰⇹⊺⇮4347)⋥≓≎(↔(⊺⇮2066⪮%⊝⊺⇮2261))⨳⩥⨓((⊥⊺⇮3741)+⇶⊼(⊺⇮6284⨐⩸⫘⊺⇮7433))⪘⫢(⊺⇮5098⨓⊺⇮1004⋥≓≎⊺⇮2353≎⊠⪸⊺⇮1337)=NaN","reverse_text":"NaN=(⩦⩻⨪⊺⇮1074)⪮%⊝(⊺⇮3245⨪↰⇹⊺⇮4347)⋥≓≎(↔(⊺⇮2066⪮%⊝⊺⇮2261))⨳⩥⨓((⊥⊺⇮3741)+⇶⊼(⊺⇮6284⨐⩸⫘⊺⇮7433))⪘⫢(⊺⇮5098⨓⊺⇮1004⋥≓≎⊺⇮2353≎⊠⪸⊺⇮1337)","cot":[{"info":"⩦⩻⨪⊺⇮1074=⊺⇮1074","layer":3},{"info":"⊺⇮3245⨪↰⇹⊺⇮4347=⊺⇮3245","layer":3},{"info":"⊺⇮1074⪮%⊝⊺⇮3245=⊺⇮2464","layer":2},{"info":"⊺⇮2066⪮%⊝⊺⇮2261=⊺⇮4448","layer":3},{"info":"↔⊺⇮4448=⊺⇮-4175","layer":2},{"info":"⊺⇮2464⋥≓≎⊺⇮-4175=⊺⇮-10781","layer":1},{"info":"⊥⊺⇮3741=NaN","layer":3},{"info":"⊺⇮6284⨐⩸⫘⊺⇮7433=NaN","layer":3},{"info":"NaN+⇶⊼NaN=NaN","layer":2},{"info":"⊺⇮5098⨓⊺⇮1004=⊺⇮-1007","layer":3},{"info":"⊺⇮2353≎⊠⪸⊺⇮1337=⊺⇮608954","layer":3},{"info":"⊺⇮-1007⋥≓≎⊺⇮608954=⊺⇮67","layer":2},{"info":"NaN⪘⫢⊺⇮67=NaN","layer":1},{"info":"⊺⇮-10781⨳⩥⨓NaN=NaN","layer":0}]}
{"id":809,"expression_no_base_symbol":"((⪲⇎$1539$)⨓($1157$⇼⇔∾$1225$)≎⊠⪸(($3479$/$5473$)⋳⪒(↥$2167$)))↬((⊄⩳↩($4797$⨳⩥⨓$4639$))∲⫓(⊄⩳↩$1897$)⪢($1163$⋳⪒$1360$))","expression":"((⪲⇎⊺⇮1539)⨓(⊺⇮1157⇼⇔∾⊺⇮1225)≎⊠⪸((⊺⇮3479/⊺⇮5473)⋳⪒(↥⊺⇮2167)))↬((⊄⩳↩(⊺⇮4797⨳⩥⨓⊺⇮4639))∲⫓(⊄⩳↩⊺⇮1897)⪢(⊺⇮1163⋳⪒⊺⇮1360))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1259,"operation_count":14,"complexity_ratio":89.92857142857143,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1539,"base":10}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1157,"base":10},"right_expr":{"type":"numeric_atoms","value":1225,"base":10}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3479,"base":10},"right_expr":{"type":"numeric_atoms","value":5473,"base":10}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2167,"base":10}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4797,"base":10},"right_expr":{"type":"numeric_atoms","value":4639,"base":10}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1897,"base":10}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1163,"base":10},"right_expr":{"type":"numeric_atoms","value":1360,"base":10}}}}},"used_operators":["B5M0gjZbta","bJkvcejdHO","3ViojmjbAp","XPYlsWDdGa","tifHPKVTfV","12rbrZMWeM","XhwjNDsVaA","A8NUZmVepG","i8ToyICDmI","8w2t5hMYqp","nCS4ZIUYfx","dWAJyo7jo9"],"dependent_operators":["rGHVDoGpnC","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1539","layer":4},{"info":"compute unary expreesion, input=1539, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3078","layer":3},{"info":"number node, value=1157","layer":4},{"info":"number node, value=1225","layer":4},{"info":"compute binary expreesion, left_input=1157, right_input=1225, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=68","layer":3},{"info":"compute binary expreesion, left_input=3078, right_input=68, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-71","layer":2},{"info":"number node, value=3479","layer":4},{"info":"number node, value=5473","layer":4},{"info":"compute binary expreesion, left_input=3479, right_input=5473, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=2167","layer":4},{"info":"compute unary expreesion, input=2167, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=25","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=25, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-312","layer":2},{"info":"compute binary expreesion, left_input=-71, right_input=-312, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=18389","layer":1},{"info":"number node, value=4797","layer":4},{"info":"number node, value=4639","layer":4},{"info":"compute binary expreesion, left_input=4797, right_input=4639, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-158","layer":3},{"info":"compute unary expreesion, input=-158, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=474","layer":2},{"info":"number node, value=1897","layer":4},{"info":"compute unary expreesion, input=1897, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-5691","layer":3},{"info":"number node, value=1163","layer":4},{"info":"number node, value=1360","layer":4},{"info":"compute binary expreesion, left_input=1163, right_input=1360, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=679","layer":3},{"info":"compute binary expreesion, left_input=-5691, right_input=679, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=474, 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=18389, 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":10,"result_base":10,"text":"((⪲⇎⊺⇮1539)⨓(⊺⇮1157⇼⇔∾⊺⇮1225)≎⊠⪸((⊺⇮3479/⊺⇮5473)⋳⪒(↥⊺⇮2167)))↬((⊄⩳↩(⊺⇮4797⨳⩥⨓⊺⇮4639))∲⫓(⊄⩳↩⊺⇮1897)⪢(⊺⇮1163⋳⪒⊺⇮1360))=NaN","reverse_text":"NaN=((⪲⇎⊺⇮1539)⨓(⊺⇮1157⇼⇔∾⊺⇮1225)≎⊠⪸((⊺⇮3479/⊺⇮5473)⋳⪒(↥⊺⇮2167)))↬((⊄⩳↩(⊺⇮4797⨳⩥⨓⊺⇮4639))∲⫓(⊄⩳↩⊺⇮1897)⪢(⊺⇮1163⋳⪒⊺⇮1360))","cot":[{"info":"⪲⇎⊺⇮1539=⊺⇮3078","layer":3},{"info":"⊺⇮1157⇼⇔∾⊺⇮1225=⊺⇮68","layer":3},{"info":"⊺⇮3078⨓⊺⇮68=⊺⇮-71","layer":2},{"info":"⊺⇮3479/⊺⇮5473=⊺⇮0","layer":3},{"info":"↥⊺⇮2167=⊺⇮25","layer":3},{"info":"⊺⇮0⋳⪒⊺⇮25=⊺⇮-312","layer":2},{"info":"⊺⇮-71≎⊠⪸⊺⇮-312=⊺⇮18389","layer":1},{"info":"⊺⇮4797⨳⩥⨓⊺⇮4639=⊺⇮-158","layer":3},{"info":"⊄⩳↩⊺⇮-158=⊺⇮474","layer":2},{"info":"⊄⩳↩⊺⇮1897=⊺⇮-5691","layer":3},{"info":"⊺⇮1163⋳⪒⊺⇮1360=⊺⇮679","layer":3},{"info":"⊺⇮-5691⪢⊺⇮679=NaN","layer":2},{"info":"⊺⇮474∲⫓NaN=NaN","layer":1},{"info":"⊺⇮18389↬NaN=NaN","layer":0}]}
{"id":810,"expression_no_base_symbol":"(((↩$4336$)⨳⩥⨓($4154$+$1778$))⨐⩸⫘$1488$⪛$1695$∀⇚≩($1935$⪠⩆⊳))⨐⩸⫘($3247$⪄$3729$)⨪↰⇹$2527$∀⇚≩$3341$+⇶⊼($3422$⨓$2256$-(∂$3126$))","expression":"(((↩⊺⇮4336)⨳⩥⨓(⊺⇮4154+⊺⇮1778))⨐⩸⫘⊺⇮1488⪛⊺⇮1695∀⇚≩(⊺⇮1935⪠⩆⊳))⨐⩸⫘(⊺⇮3247⪄⊺⇮3729)⨪↰⇹⊺⇮2527∀⇚≩⊺⇮3341+⇶⊼(⊺⇮3422⨓⊺⇮2256-(∂⊺⇮3126))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":522058,"operation_count":15,"complexity_ratio":34803.86666666667,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":4336,"base":10}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":4154,"base":10},"right_expr":{"type":"numeric_atoms","value":1778,"base":10}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1488,"base":10},"right_expr":{"type":"numeric_atoms","value":1695,"base":10}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1935,"base":10}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3247,"base":10},"right_expr":{"type":"numeric_atoms","value":3729,"base":10}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2527,"base":10},"right_expr":{"type":"numeric_atoms","value":3341,"base":10}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3422,"base":10},"right_expr":{"type":"numeric_atoms","value":2256,"base":10}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":3126,"base":10}}}}},"used_operators":["fu6greOZ01","nCS4ZIUYfx","jLgFTUHLKL","W4YGzv6Whe","LRNGc0VcxI","uFcxV4UQCh","JLbD19bQDL","TpPTUOHfaN","tmPS8pqC7x","SUmda5xLS4","rysDP5nf3Z","3ViojmjbAp","Uaa54Peajs"],"dependent_operators":["3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","X99M06cbEe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rJVOvQCfKK","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4336","layer":4},{"info":"compute unary expreesion, input=4336, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-31908","layer":3},{"info":"number node, value=4154","layer":4},{"info":"number node, value=1778","layer":4},{"info":"compute binary expreesion, left_input=4154, right_input=1778, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5932","layer":3},{"info":"compute binary expreesion, left_input=-31908, right_input=5932, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=37840","layer":2},{"info":"number node, value=1488","layer":4},{"info":"number node, value=1695","layer":4},{"info":"compute binary expreesion, left_input=1488, right_input=1695, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1488","layer":3},{"info":"number node, value=1935","layer":4},{"info":"compute unary expreesion, input=1935, 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=1488, right_input=0, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=37840, 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=3247","layer":4},{"info":"number node, value=3729","layer":4},{"info":"compute binary expreesion, left_input=3247, right_input=3729, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-491561","layer":3},{"info":"number node, value=2527","layer":4},{"info":"number node, value=3341","layer":4},{"info":"compute binary expreesion, left_input=2527, right_input=3341, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=-491561, 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=491561","layer":2},{"info":"number node, value=3422","layer":4},{"info":"number node, value=2256","layer":4},{"info":"compute binary expreesion, left_input=3422, right_input=2256, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2259","layer":3},{"info":"number node, value=3126","layer":4},{"info":"compute unary expreesion, input=3126, 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=-2259, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=491561, 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 = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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":10,"result_base":10,"text":"(((↩⊺⇮4336)⨳⩥⨓(⊺⇮4154+⊺⇮1778))⨐⩸⫘⊺⇮1488⪛⊺⇮1695∀⇚≩(⊺⇮1935⪠⩆⊳))⨐⩸⫘(⊺⇮3247⪄⊺⇮3729)⨪↰⇹⊺⇮2527∀⇚≩⊺⇮3341+⇶⊼(⊺⇮3422⨓⊺⇮2256-(∂⊺⇮3126))=NaN","reverse_text":"NaN=(((↩⊺⇮4336)⨳⩥⨓(⊺⇮4154+⊺⇮1778))⨐⩸⫘⊺⇮1488⪛⊺⇮1695∀⇚≩(⊺⇮1935⪠⩆⊳))⨐⩸⫘(⊺⇮3247⪄⊺⇮3729)⨪↰⇹⊺⇮2527∀⇚≩⊺⇮3341+⇶⊼(⊺⇮3422⨓⊺⇮2256-(∂⊺⇮3126))","cot":[{"info":"↩⊺⇮4336=⊺⇮-31908","layer":3},{"info":"⊺⇮4154+⊺⇮1778=⊺⇮5932","layer":3},{"info":"⊺⇮-31908⨳⩥⨓⊺⇮5932=⊺⇮37840","layer":2},{"info":"⊺⇮1488⪛⊺⇮1695=⊺⇮1488","layer":3},{"info":"⊺⇮1935⪠⩆⊳=⊺⇮0","layer":3},{"info":"⊺⇮1488∀⇚≩⊺⇮0=NaN","layer":2},{"info":"⊺⇮37840⨐⩸⫘NaN=NaN","layer":1},{"info":"⊺⇮3247⪄⊺⇮3729=⊺⇮-491561","layer":3},{"info":"⊺⇮2527∀⇚≩⊺⇮3341=NaN","layer":3},{"info":"⊺⇮-491561⨪↰⇹NaN=⊺⇮491561","layer":2},{"info":"⊺⇮3422⨓⊺⇮2256=⊺⇮-2259","layer":3},{"info":"∂⊺⇮3126=NaN","layer":3},{"info":"⊺⇮-2259-NaN=NaN","layer":2},{"info":"⊺⇮491561+⇶⊼NaN=NaN","layer":1},{"info":"NaN⨐⩸⫘NaN=NaN","layer":0}]}
{"id":811,"expression_no_base_symbol":"($7324$*$2518$⨸⪁($1226$⇼⇔∾$1737$))⪮%⊝($2551$⪛$1896$)⪮%⊝($6133$⋥≓≎$1119$)∲⫓($4560$≧⫂∧$1209$)⇷($2769$⋥≓≎$1021$)↙($1406$⪛$2432$∲⫓$2249$⫸⊐$5198$)","expression":"(⊺⇮7324*⊺⇮2518⨸⪁(⊺⇮1226⇼⇔∾⊺⇮1737))⪮%⊝(⊺⇮2551⪛⊺⇮1896)⪮%⊝(⊺⇮6133⋥≓≎⊺⇮1119)∲⫓(⊺⇮4560≧⫂∧⊺⇮1209)⇷(⊺⇮2769⋥≓≎⊺⇮1021)↙(⊺⇮1406⪛⊺⇮2432∲⫓⊺⇮2249⫸⊐⊺⇮5198)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":12899,"operation_count":15,"complexity_ratio":859.9333333333333,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":7324,"base":10},"right_expr":{"type":"numeric_atoms","value":2518,"base":10}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1226,"base":10},"right_expr":{"type":"numeric_atoms","value":1737,"base":10}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2551,"base":10},"right_expr":{"type":"numeric_atoms","value":1896,"base":10}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":6133,"base":10},"right_expr":{"type":"numeric_atoms","value":1119,"base":10}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4560,"base":10},"right_expr":{"type":"numeric_atoms","value":1209,"base":10}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2769,"base":10},"right_expr":{"type":"numeric_atoms","value":1021,"base":10}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1406,"base":10},"right_expr":{"type":"numeric_atoms","value":2432,"base":10}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2249,"base":10},"right_expr":{"type":"numeric_atoms","value":5198,"base":10}}}}},"used_operators":["i8ToyICDmI","IWmyXbctLI","g55IO6H4Gj","9HNa5Wba9A","tifHPKVTfV","uFcxV4UQCh","Qy55tPpLXF","yyfyN0ffXY","mp7IySMOzn","Ph9nP6C5qx","mqXw5SEYmG"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7324","layer":4},{"info":"number node, value=2518","layer":4},{"info":"compute binary expreesion, left_input=7324, right_input=2518, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=18441832","layer":3},{"info":"number node, value=1226","layer":4},{"info":"number node, value=1737","layer":4},{"info":"compute binary expreesion, left_input=1226, right_input=1737, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=511","layer":3},{"info":"compute binary expreesion, left_input=18441832, right_input=511, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=36884686","layer":2},{"info":"number node, value=2551","layer":4},{"info":"number node, value=1896","layer":4},{"info":"compute binary expreesion, left_input=2551, right_input=1896, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=655","layer":3},{"info":"number node, value=6133","layer":4},{"info":"number node, value=1119","layer":4},{"info":"compute binary expreesion, left_input=6133, right_input=1119, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-3862","layer":3},{"info":"compute binary expreesion, left_input=655, right_input=-3862, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=1626","layer":2},{"info":"compute binary expreesion, left_input=36884686, right_input=1626, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=73769688","layer":1},{"info":"number node, value=4560","layer":4},{"info":"number node, value=1209","layer":4},{"info":"compute binary expreesion, left_input=4560, right_input=1209, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=736","layer":3},{"info":"number node, value=2769","layer":4},{"info":"number node, value=1021","layer":4},{"info":"compute binary expreesion, left_input=2769, right_input=1021, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-694","layer":3},{"info":"compute binary expreesion, left_input=736, right_input=-694, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"number node, value=1406","layer":4},{"info":"number node, value=2432","layer":4},{"info":"compute binary expreesion, left_input=1406, right_input=2432, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1406","layer":3},{"info":"number node, value=2249","layer":4},{"info":"number node, value=5198","layer":4},{"info":"compute binary expreesion, left_input=2249, right_input=5198, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=20667","layer":3},{"info":"compute binary expreesion, left_input=1406, right_input=20667, 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 = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=73769688, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮7324*⊺⇮2518⨸⪁(⊺⇮1226⇼⇔∾⊺⇮1737))⪮%⊝(⊺⇮2551⪛⊺⇮1896)⪮%⊝(⊺⇮6133⋥≓≎⊺⇮1119)∲⫓(⊺⇮4560≧⫂∧⊺⇮1209)⇷(⊺⇮2769⋥≓≎⊺⇮1021)↙(⊺⇮1406⪛⊺⇮2432∲⫓⊺⇮2249⫸⊐⊺⇮5198)=NaN","reverse_text":"NaN=(⊺⇮7324*⊺⇮2518⨸⪁(⊺⇮1226⇼⇔∾⊺⇮1737))⪮%⊝(⊺⇮2551⪛⊺⇮1896)⪮%⊝(⊺⇮6133⋥≓≎⊺⇮1119)∲⫓(⊺⇮4560≧⫂∧⊺⇮1209)⇷(⊺⇮2769⋥≓≎⊺⇮1021)↙(⊺⇮1406⪛⊺⇮2432∲⫓⊺⇮2249⫸⊐⊺⇮5198)","cot":[{"info":"⊺⇮7324*⊺⇮2518=⊺⇮18441832","layer":3},{"info":"⊺⇮1226⇼⇔∾⊺⇮1737=⊺⇮511","layer":3},{"info":"⊺⇮18441832⨸⪁⊺⇮511=⊺⇮36884686","layer":2},{"info":"⊺⇮2551⪛⊺⇮1896=⊺⇮655","layer":3},{"info":"⊺⇮6133⋥≓≎⊺⇮1119=⊺⇮-3862","layer":3},{"info":"⊺⇮655⪮%⊝⊺⇮-3862=⊺⇮1626","layer":2},{"info":"⊺⇮36884686⪮%⊝⊺⇮1626=⊺⇮73769688","layer":1},{"info":"⊺⇮4560≧⫂∧⊺⇮1209=⊺⇮736","layer":3},{"info":"⊺⇮2769⋥≓≎⊺⇮1021=⊺⇮-694","layer":3},{"info":"⊺⇮736⇷⊺⇮-694=NaN","layer":2},{"info":"⊺⇮1406⪛⊺⇮2432=⊺⇮1406","layer":3},{"info":"⊺⇮2249⫸⊐⊺⇮5198=⊺⇮20667","layer":3},{"info":"⊺⇮1406∲⫓⊺⇮20667=⊺⇮0","layer":2},{"info":"NaN↙⊺⇮0=NaN","layer":1},{"info":"⊺⇮73769688∲⫓NaN=NaN","layer":0}]}
{"id":812,"expression_no_base_symbol":"(((⪲⇎$1047$)⨽$1346$⪮%⊝$2834$)⨓($3225$⩷∴$2082$∲⫓$1982$⪒$4539$))⪮%⊝((↔$1785$)≹⇙⪍($6459$⨽$1048$)≎⊠⪸(⨵≀≌($1364$⪠⩆⊳)))","expression":"(((⪲⇎⊺⇮1047)⨽⊺⇮1346⪮%⊝⊺⇮2834)⨓(⊺⇮3225⩷∴⊺⇮2082∲⫓⊺⇮1982⪒⊺⇮4539))⪮%⊝((↔⊺⇮1785)≹⇙⪍(⊺⇮6459⨽⊺⇮1048)≎⊠⪸(⨵≀≌(⊺⇮1364⪠⩆⊳)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":10893,"operation_count":14,"complexity_ratio":778.0714285714286,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1047,"base":10}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1346,"base":10},"right_expr":{"type":"numeric_atoms","value":2834,"base":10}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3225,"base":10},"right_expr":{"type":"numeric_atoms","value":2082,"base":10}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1982,"base":10},"right_expr":{"type":"numeric_atoms","value":4539,"base":10}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1785,"base":10}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":6459,"base":10},"right_expr":{"type":"numeric_atoms","value":1048,"base":10}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1364,"base":10}}}}},"used_operators":["IWmyXbctLI","3ViojmjbAp","8HhzD0ZcuI","XPYlsWDdGa","i8ToyICDmI","9FxExcQeMw","f6k1SAg4EE","bJkvcejdHO","AHs5Up7iyr","ruOEQAzv1W","srAu1WTS94","JLbD19bQDL"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1047","layer":4},{"info":"compute unary expreesion, input=1047, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2094","layer":3},{"info":"number node, value=1346","layer":4},{"info":"number node, value=2834","layer":4},{"info":"compute binary expreesion, left_input=1346, right_input=2834, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3008","layer":3},{"info":"compute binary expreesion, left_input=2094, right_input=3008, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-13162218","layer":2},{"info":"number node, value=3225","layer":4},{"info":"number node, value=2082","layer":4},{"info":"compute binary expreesion, left_input=3225, right_input=2082, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2254","layer":3},{"info":"number node, value=1982","layer":4},{"info":"number node, value=4539","layer":4},{"info":"compute binary expreesion, left_input=1982, right_input=4539, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6521","layer":3},{"info":"compute binary expreesion, left_input=2254, right_input=-6521, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=2254","layer":2},{"info":"compute binary expreesion, left_input=-13162218, right_input=2254, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2257","layer":1},{"info":"number node, value=1785","layer":4},{"info":"compute unary expreesion, input=1785, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1512","layer":3},{"info":"number node, value=6459","layer":4},{"info":"number node, value=1048","layer":4},{"info":"compute binary expreesion, left_input=6459, right_input=1048, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-125157873","layer":3},{"info":"compute binary expreesion, left_input=-1512, right_input=-125157873, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=1364","layer":4},{"info":"compute unary expreesion, input=1364, 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 = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 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=-2257, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((⪲⇎⊺⇮1047)⨽⊺⇮1346⪮%⊝⊺⇮2834)⨓(⊺⇮3225⩷∴⊺⇮2082∲⫓⊺⇮1982⪒⊺⇮4539))⪮%⊝((↔⊺⇮1785)≹⇙⪍(⊺⇮6459⨽⊺⇮1048)≎⊠⪸(⨵≀≌(⊺⇮1364⪠⩆⊳)))=NaN","reverse_text":"NaN=(((⪲⇎⊺⇮1047)⨽⊺⇮1346⪮%⊝⊺⇮2834)⨓(⊺⇮3225⩷∴⊺⇮2082∲⫓⊺⇮1982⪒⊺⇮4539))⪮%⊝((↔⊺⇮1785)≹⇙⪍(⊺⇮6459⨽⊺⇮1048)≎⊠⪸(⨵≀≌(⊺⇮1364⪠⩆⊳)))","cot":[{"info":"⪲⇎⊺⇮1047=⊺⇮2094","layer":3},{"info":"⊺⇮1346⪮%⊝⊺⇮2834=⊺⇮3008","layer":3},{"info":"⊺⇮2094⨽⊺⇮3008=⊺⇮-13162218","layer":2},{"info":"⊺⇮3225⩷∴⊺⇮2082=⊺⇮2254","layer":3},{"info":"⊺⇮1982⪒⊺⇮4539=⊺⇮-6521","layer":3},{"info":"⊺⇮2254∲⫓⊺⇮-6521=⊺⇮2254","layer":2},{"info":"⊺⇮-13162218⨓⊺⇮2254=⊺⇮-2257","layer":1},{"info":"↔⊺⇮1785=⊺⇮-1512","layer":3},{"info":"⊺⇮6459⨽⊺⇮1048=⊺⇮-125157873","layer":3},{"info":"⊺⇮-1512≹⇙⪍⊺⇮-125157873=NaN","layer":2},{"info":"⊺⇮1364⪠⩆⊳=⊺⇮0","layer":3},{"info":"⨵≀≌⊺⇮0=⊺⇮0","layer":2},{"info":"NaN≎⊠⪸⊺⇮0=NaN","layer":1},{"info":"⊺⇮-2257⪮%⊝NaN=NaN","layer":0}]}
{"id":813,"expression_no_base_symbol":"($2160$⨽$8241$⫡⨏(⊥$2251$)+($2449$↙$2362$⫡⨏($5849$⋷$2052$)))⨎(((⊥$2791$)≧⫂∧$1510$⪛$5922$)∧)","expression":"(⊺⇮2160⨽⊺⇮8241⫡⨏(⊥⊺⇮2251)+(⊺⇮2449↙⊺⇮2362⫡⨏(⊺⇮5849⋷⊺⇮2052)))⨎(((⊥⊺⇮2791)≧⫂∧⊺⇮1510⪛⊺⇮5922)∧)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4566,"operation_count":12,"complexity_ratio":380.5,"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":2160,"base":10},"right_expr":{"type":"numeric_atoms","value":8241,"base":10}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":2251,"base":10}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2449,"base":10},"right_expr":{"type":"numeric_atoms","value":2362,"base":10}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":5849,"base":10},"right_expr":{"type":"numeric_atoms","value":2052,"base":10}}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":2791,"base":10}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1510,"base":10},"right_expr":{"type":"numeric_atoms","value":5922,"base":10}}}}},"used_operators":["rJVOvQCfKK","W4YGzv6Whe","QMFrweE19q","8HhzD0ZcuI","Q3PJZHRvZv","yyfyN0ffXY","23Mk6UjR3U","z63VuFQld9","Ph9nP6C5qx","uFcxV4UQCh"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","fu6greOZ01","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2160","layer":4},{"info":"number node, value=8241","layer":4},{"info":"compute binary expreesion, left_input=2160, right_input=8241, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-14020209","layer":3},{"info":"number node, value=2251","layer":4},{"info":"compute unary expreesion, input=2251, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-14020209, 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=2449","layer":4},{"info":"number node, value=2362","layer":4},{"info":"compute binary expreesion, left_input=2449, right_input=2362, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-7086","layer":3},{"info":"number node, value=5849","layer":4},{"info":"number node, value=2052","layer":4},{"info":"compute binary expreesion, left_input=5849, right_input=2052, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-1745","layer":3},{"info":"compute binary expreesion, left_input=-7086, right_input=-1745, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-38137","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-38137, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=2791","layer":4},{"info":"compute unary expreesion, input=2791, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=1510","layer":4},{"info":"number node, value=5922","layer":4},{"info":"compute binary expreesion, left_input=1510, right_input=5922, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1510","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1510, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1037","layer":2},{"info":"compute unary expreesion, input=1037, 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 = 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":10,"result_base":10,"text":"(⊺⇮2160⨽⊺⇮8241⫡⨏(⊥⊺⇮2251)+(⊺⇮2449↙⊺⇮2362⫡⨏(⊺⇮5849⋷⊺⇮2052)))⨎(((⊥⊺⇮2791)≧⫂∧⊺⇮1510⪛⊺⇮5922)∧)=NaN","reverse_text":"NaN=(⊺⇮2160⨽⊺⇮8241⫡⨏(⊥⊺⇮2251)+(⊺⇮2449↙⊺⇮2362⫡⨏(⊺⇮5849⋷⊺⇮2052)))⨎(((⊥⊺⇮2791)≧⫂∧⊺⇮1510⪛⊺⇮5922)∧)","cot":[{"info":"⊺⇮2160⨽⊺⇮8241=⊺⇮-14020209","layer":3},{"info":"⊥⊺⇮2251=NaN","layer":3},{"info":"⊺⇮-14020209⫡⨏NaN=NaN","layer":2},{"info":"⊺⇮2449↙⊺⇮2362=⊺⇮-7086","layer":3},{"info":"⊺⇮5849⋷⊺⇮2052=⊺⇮-1745","layer":3},{"info":"⊺⇮-7086⫡⨏⊺⇮-1745=⊺⇮-38137","layer":2},{"info":"NaN+⊺⇮-38137=NaN","layer":1},{"info":"⊥⊺⇮2791=NaN","layer":3},{"info":"⊺⇮1510⪛⊺⇮5922=⊺⇮1510","layer":3},{"info":"NaN≧⫂∧⊺⇮1510=⊺⇮1037","layer":2},{"info":"⊺⇮1037∧=NaN","layer":1},{"info":"NaN⨎NaN=NaN","layer":0}]}
{"id":814,"expression_no_base_symbol":"((⨵≀≌$1325$)⪢($1617$⨎$2106$)⇼⇔∾((⫓⪴$7164$)/(↩$4510$)))⨽(($5212$⪄$2145$)⪮%⊝($1595$↺$1762$)/(↩$4361$≎⊠⪸$9196$))","expression":"((⨵≀≌⊺⇮1325)⪢(⊺⇮1617⨎⊺⇮2106)⇼⇔∾((⫓⪴⊺⇮7164)/(↩⊺⇮4510)))⨽((⊺⇮5212⪄⊺⇮2145)⪮%⊝(⊺⇮1595↺⊺⇮1762)/(↩⊺⇮4361≎⊠⪸⊺⇮9196))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":11775,"operation_count":14,"complexity_ratio":841.0714285714286,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1325,"base":10}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1617,"base":10},"right_expr":{"type":"numeric_atoms","value":2106,"base":10}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":7164,"base":10}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":4510,"base":10}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":5212,"base":10},"right_expr":{"type":"numeric_atoms","value":2145,"base":10}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1595,"base":10},"right_expr":{"type":"numeric_atoms","value":1762,"base":10}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4361,"base":10},"right_expr":{"type":"numeric_atoms","value":9196,"base":10}}}}},"used_operators":["8HhzD0ZcuI","tifHPKVTfV","dWAJyo7jo9","srAu1WTS94","rJVOvQCfKK","XhwjNDsVaA","eLxqMNBOBk","jLgFTUHLKL","IWmyXbctLI","SUmda5xLS4","7j4O788W3g","bJkvcejdHO"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","9HNa5Wba9A","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1325","layer":4},{"info":"compute unary expreesion, input=1325, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3975","layer":3},{"info":"number node, value=1617","layer":4},{"info":"number node, value=2106","layer":4},{"info":"compute binary expreesion, left_input=1617, right_input=2106, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2106","layer":3},{"info":"compute binary expreesion, left_input=-3975, right_input=2106, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=7164","layer":4},{"info":"compute unary expreesion, input=7164, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=51322896","layer":3},{"info":"number node, value=4510","layer":4},{"info":"compute unary expreesion, input=4510, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-33300","layer":3},{"info":"compute binary expreesion, left_input=51322896, right_input=-33300, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1542","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1542, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=5212","layer":4},{"info":"number node, value=2145","layer":4},{"info":"compute binary expreesion, left_input=5212, right_input=2145, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-776045","layer":3},{"info":"number node, value=1595","layer":4},{"info":"number node, value=1762","layer":4},{"info":"compute binary expreesion, left_input=1595, right_input=1762, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1762","layer":3},{"info":"compute binary expreesion, left_input=-776045, right_input=1762, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-1551774","layer":2},{"info":"number node, value=4361","layer":4},{"info":"number node, value=9196","layer":4},{"info":"compute binary expreesion, left_input=4361, right_input=9196, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1129026","layer":3},{"info":"compute unary expreesion, input=1129026, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-9029428","layer":2},{"info":"compute binary expreesion, left_input=-1551774, right_input=-9029428, op_id = XhwjNDsVaA binary_op_definition= 'None', 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":10,"result_base":10,"text":"((⨵≀≌⊺⇮1325)⪢(⊺⇮1617⨎⊺⇮2106)⇼⇔∾((⫓⪴⊺⇮7164)/(↩⊺⇮4510)))⨽((⊺⇮5212⪄⊺⇮2145)⪮%⊝(⊺⇮1595↺⊺⇮1762)/(↩⊺⇮4361≎⊠⪸⊺⇮9196))=NaN","reverse_text":"NaN=((⨵≀≌⊺⇮1325)⪢(⊺⇮1617⨎⊺⇮2106)⇼⇔∾((⫓⪴⊺⇮7164)/(↩⊺⇮4510)))⨽((⊺⇮5212⪄⊺⇮2145)⪮%⊝(⊺⇮1595↺⊺⇮1762)/(↩⊺⇮4361≎⊠⪸⊺⇮9196))","cot":[{"info":"⨵≀≌⊺⇮1325=⊺⇮-3975","layer":3},{"info":"⊺⇮1617⨎⊺⇮2106=⊺⇮2106","layer":3},{"info":"⊺⇮-3975⪢⊺⇮2106=NaN","layer":2},{"info":"⫓⪴⊺⇮7164=⊺⇮51322896","layer":3},{"info":"↩⊺⇮4510=⊺⇮-33300","layer":3},{"info":"⊺⇮51322896/⊺⇮-33300=⊺⇮-1542","layer":2},{"info":"NaN⇼⇔∾⊺⇮-1542=NaN","layer":1},{"info":"⊺⇮5212⪄⊺⇮2145=⊺⇮-776045","layer":3},{"info":"⊺⇮1595↺⊺⇮1762=⊺⇮1762","layer":3},{"info":"⊺⇮-776045⪮%⊝⊺⇮1762=⊺⇮-1551774","layer":2},{"info":"⊺⇮4361≎⊠⪸⊺⇮9196=⊺⇮1129026","layer":3},{"info":"↩⊺⇮1129026=⊺⇮-9029428","layer":2},{"info":"⊺⇮-1551774/⊺⇮-9029428=⊺⇮0","layer":1},{"info":"NaN⨽⊺⇮0=NaN","layer":0}]}
{"id":815,"expression_no_base_symbol":"(($5873$⊉≛↸$3199$)∼(⨞⊢$2502$)*$1626$⊴$2663$⪛($1977$⋥≓≎$3061$))⨪↰⇹($1111$⇼⇔∾$2486$⊭↱$4527$⋳⪒$2915$⨵⪆$3124$⨐⩸⫘$2248$⊭↱(↩$1789$))","expression":"((⊺⇮5873⊉≛↸⊺⇮3199)∼(⨞⊢⊺⇮2502)*⊺⇮1626⊴⊺⇮2663⪛(⊺⇮1977⋥≓≎⊺⇮3061))⨪↰⇹(⊺⇮1111⇼⇔∾⊺⇮2486⊭↱⊺⇮4527⋳⪒⊺⇮2915⨵⪆⊺⇮3124⨐⩸⫘⊺⇮2248⊭↱(↩⊺⇮1789))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2954,"operation_count":15,"complexity_ratio":196.93333333333334,"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":5873,"base":10},"right_expr":{"type":"numeric_atoms","value":3199,"base":10}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2502,"base":10}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1626,"base":10},"right_expr":{"type":"numeric_atoms","value":2663,"base":10}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1977,"base":10},"right_expr":{"type":"numeric_atoms","value":3061,"base":10}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1111,"base":10},"right_expr":{"type":"numeric_atoms","value":2486,"base":10}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":4527,"base":10},"right_expr":{"type":"numeric_atoms","value":2915,"base":10}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3124,"base":10},"right_expr":{"type":"numeric_atoms","value":2248,"base":10}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1789,"base":10}}}}},"used_operators":["tmPS8pqC7x","9HNa5Wba9A","DyGG3AbaNP","DZ8iAZOCBD","xUOZtlo3hN","uFcxV4UQCh","Nsiff2A1zJ","Qy55tPpLXF","2DQ55sFlQl","COABgblf1C","tifHPKVTfV","12rbrZMWeM","fu6greOZ01","jLgFTUHLKL"],"dependent_operators":["rJVOvQCfKK","W4YGzv6Whe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5873","layer":4},{"info":"number node, value=3199","layer":4},{"info":"compute binary expreesion, left_input=5873, right_input=3199, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=11746","layer":3},{"info":"number node, value=2502","layer":4},{"info":"compute unary expreesion, input=2502, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2676","layer":3},{"info":"compute binary expreesion, left_input=11746, right_input=-2676, 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=1626","layer":4},{"info":"number node, value=2663","layer":4},{"info":"compute binary expreesion, left_input=1626, right_input=2663, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1977","layer":4},{"info":"number node, value=3061","layer":4},{"info":"compute binary expreesion, left_input=1977, right_input=3061, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=4178","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4178, 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 = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1111","layer":4},{"info":"number node, value=2486","layer":4},{"info":"compute binary expreesion, left_input=1111, right_input=2486, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1375","layer":3},{"info":"number node, value=4527","layer":4},{"info":"number node, value=2915","layer":4},{"info":"compute binary expreesion, left_input=4527, right_input=2915, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=5852","layer":3},{"info":"compute binary expreesion, left_input=1375, right_input=5852, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=8959","layer":2},{"info":"number node, value=3124","layer":4},{"info":"number node, value=2248","layer":4},{"info":"compute binary expreesion, left_input=3124, right_input=2248, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=1789","layer":4},{"info":"compute unary expreesion, input=1789, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-11532","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-11532, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=8959, 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 = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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":10,"result_base":10,"text":"((⊺⇮5873⊉≛↸⊺⇮3199)∼(⨞⊢⊺⇮2502)*⊺⇮1626⊴⊺⇮2663⪛(⊺⇮1977⋥≓≎⊺⇮3061))⨪↰⇹(⊺⇮1111⇼⇔∾⊺⇮2486⊭↱⊺⇮4527⋳⪒⊺⇮2915⨵⪆⊺⇮3124⨐⩸⫘⊺⇮2248⊭↱(↩⊺⇮1789))=NaN","reverse_text":"NaN=((⊺⇮5873⊉≛↸⊺⇮3199)∼(⨞⊢⊺⇮2502)*⊺⇮1626⊴⊺⇮2663⪛(⊺⇮1977⋥≓≎⊺⇮3061))⨪↰⇹(⊺⇮1111⇼⇔∾⊺⇮2486⊭↱⊺⇮4527⋳⪒⊺⇮2915⨵⪆⊺⇮3124⨐⩸⫘⊺⇮2248⊭↱(↩⊺⇮1789))","cot":[{"info":"⊺⇮5873⊉≛↸⊺⇮3199=⊺⇮11746","layer":3},{"info":"⨞⊢⊺⇮2502=⊺⇮-2676","layer":3},{"info":"⊺⇮11746∼⊺⇮-2676=NaN","layer":2},{"info":"⊺⇮1626⊴⊺⇮2663=NaN","layer":3},{"info":"⊺⇮1977⋥≓≎⊺⇮3061=⊺⇮4178","layer":3},{"info":"NaN⪛⊺⇮4178=NaN","layer":2},{"info":"NaN*NaN=NaN","layer":1},{"info":"⊺⇮1111⇼⇔∾⊺⇮2486=⊺⇮1375","layer":3},{"info":"⊺⇮4527⋳⪒⊺⇮2915=⊺⇮5852","layer":3},{"info":"⊺⇮1375⊭↱⊺⇮5852=⊺⇮8959","layer":2},{"info":"⊺⇮3124⨐⩸⫘⊺⇮2248=NaN","layer":3},{"info":"↩⊺⇮1789=⊺⇮-11532","layer":3},{"info":"NaN⊭↱⊺⇮-11532=NaN","layer":2},{"info":"⊺⇮8959⨵⪆NaN=⊺⇮160","layer":1},{"info":"NaN⨪↰⇹⊺⇮160=NaN","layer":0}]}
{"id":816,"expression_no_base_symbol":"(⊄⩳↩$2483$)⊴($2719$⇷$1020$)⋓(⨞⊢(⇁⨣⪵$6334$))⩷∴($1133$∧)⪛(↽≂$1747$)⨓((≉$2112$)∑⇟⊟(⨈⫕$1572$))","expression":"(⊄⩳↩⊺⇮2483)⊴(⊺⇮2719⇷⊺⇮1020)⋓(⨞⊢(⇁⨣⪵⊺⇮6334))⩷∴(⊺⇮1133∧)⪛(↽≂⊺⇮1747)⨓((≉⊺⇮2112)∑⇟⊟(⨈⫕⊺⇮1572))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":45618,"operation_count":14,"complexity_ratio":3258.4285714285716,"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":2483,"base":10}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2719,"base":10},"right_expr":{"type":"numeric_atoms","value":1020,"base":10}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":6334,"base":10}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1133,"base":10}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1747,"base":10}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2112,"base":10}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1572,"base":10}}}}},"used_operators":["9FxExcQeMw","T2fj7uvVaJ","Nsiff2A1zJ","8w2t5hMYqp","mp7IySMOzn","xUOZtlo3hN","inkyxCbjAn","3ViojmjbAp","uFcxV4UQCh","z63VuFQld9","u6S6b8DprG","U7g4x0WXJJ","e1ybzncUwg","megm06wKyl"],"dependent_operators":["rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2483","layer":4},{"info":"compute unary expreesion, input=2483, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-7449","layer":3},{"info":"number node, value=2719","layer":4},{"info":"number node, value=1020","layer":4},{"info":"compute binary expreesion, left_input=2719, right_input=1020, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2040","layer":3},{"info":"compute binary expreesion, left_input=-7449, right_input=2040, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=6334","layer":4},{"info":"compute unary expreesion, input=6334, op_id = inkyxCbjAn, 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=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=1133","layer":4},{"info":"compute unary expreesion, input=1133, 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=1747","layer":4},{"info":"compute unary expreesion, input=1747, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-3494","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3494, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"number node, value=2112","layer":4},{"info":"compute unary expreesion, input=2112, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2643","layer":3},{"info":"number node, value=1572","layer":4},{"info":"compute unary expreesion, input=1572, 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=2643, right_input=-21, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=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 = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊄⩳↩⊺⇮2483)⊴(⊺⇮2719⇷⊺⇮1020)⋓(⨞⊢(⇁⨣⪵⊺⇮6334))⩷∴(⊺⇮1133∧)⪛(↽≂⊺⇮1747)⨓((≉⊺⇮2112)∑⇟⊟(⨈⫕⊺⇮1572))=NaN","reverse_text":"NaN=(⊄⩳↩⊺⇮2483)⊴(⊺⇮2719⇷⊺⇮1020)⋓(⨞⊢(⇁⨣⪵⊺⇮6334))⩷∴(⊺⇮1133∧)⪛(↽≂⊺⇮1747)⨓((≉⊺⇮2112)∑⇟⊟(⨈⫕⊺⇮1572))","cot":[{"info":"⊄⩳↩⊺⇮2483=⊺⇮-7449","layer":3},{"info":"⊺⇮2719⇷⊺⇮1020=⊺⇮2040","layer":3},{"info":"⊺⇮-7449⊴⊺⇮2040=NaN","layer":2},{"info":"⇁⨣⪵⊺⇮6334=NaN","layer":3},{"info":"⨞⊢NaN=NaN","layer":2},{"info":"NaN⋓NaN=NaN","layer":1},{"info":"⊺⇮1133∧=NaN","layer":3},{"info":"↽≂⊺⇮1747=⊺⇮-3494","layer":3},{"info":"NaN⪛⊺⇮-3494=NaN","layer":2},{"info":"≉⊺⇮2112=⊺⇮2643","layer":3},{"info":"⨈⫕⊺⇮1572=⊺⇮-21","layer":3},{"info":"⊺⇮2643∑⇟⊟⊺⇮-21=NaN","layer":2},{"info":"NaN⨓NaN=NaN","layer":1},{"info":"NaN⩷∴NaN=NaN","layer":0}]}
{"id":817,"expression_no_base_symbol":"((($1031$⪒$6103$)⫌⩹⨱)↙($7858$↺$3949$)⪘⫢$2431$∀⇚≩$1931$)∀⇚≩($4772$⪮%⊝$2389$⨪↰⇹$4856$⨪↰⇹$1711$⨽$1342$≎⊠⪸$2327$⨐⩸⫘(⨞⊢$5616$))","expression":"(((⊺⇮1031⪒⊺⇮6103)⫌⩹⨱)↙(⊺⇮7858↺⊺⇮3949)⪘⫢⊺⇮2431∀⇚≩⊺⇮1931)∀⇚≩(⊺⇮4772⪮%⊝⊺⇮2389⨪↰⇹⊺⇮4856⨪↰⇹⊺⇮1711⨽⊺⇮1342≎⊠⪸⊺⇮2327⨐⩸⫘(⨞⊢⊺⇮5616))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":131975,"operation_count":14,"complexity_ratio":9426.785714285714,"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":1031,"base":10},"right_expr":{"type":"numeric_atoms","value":6103,"base":10}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":7858,"base":10},"right_expr":{"type":"numeric_atoms","value":3949,"base":10}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2431,"base":10},"right_expr":{"type":"numeric_atoms","value":1931,"base":10}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4772,"base":10},"right_expr":{"type":"numeric_atoms","value":2389,"base":10}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4856,"base":10},"right_expr":{"type":"numeric_atoms","value":1711,"base":10}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1342,"base":10},"right_expr":{"type":"numeric_atoms","value":2327,"base":10}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":5616,"base":10}}}}},"used_operators":["LRNGc0VcxI","yyfyN0ffXY","EBcxylXtPf","f6k1SAg4EE","oacrs7FA3X","7j4O788W3g","8HhzD0ZcuI","tmPS8pqC7x","IWmyXbctLI","fu6greOZ01","bJkvcejdHO","xUOZtlo3hN"],"dependent_operators":["X99M06cbEe","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rJVOvQCfKK","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","3ViojmjbAp","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1031","layer":4},{"info":"number node, value=6103","layer":4},{"info":"compute binary expreesion, left_input=1031, right_input=6103, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7134","layer":3},{"info":"compute unary expreesion, input=-7134, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=-12867","layer":2},{"info":"number node, value=7858","layer":4},{"info":"number node, value=3949","layer":4},{"info":"compute binary expreesion, left_input=7858, right_input=3949, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3949","layer":3},{"info":"number node, value=2431","layer":4},{"info":"number node, value=1931","layer":4},{"info":"compute binary expreesion, left_input=2431, right_input=1931, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=3949, 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=-12867, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-12867","layer":1},{"info":"number node, value=4772","layer":4},{"info":"number node, value=2389","layer":4},{"info":"compute binary expreesion, left_input=4772, right_input=2389, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=9860","layer":3},{"info":"number node, value=4856","layer":4},{"info":"number node, value=1711","layer":4},{"info":"compute binary expreesion, left_input=4856, right_input=1711, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=4856","layer":3},{"info":"compute binary expreesion, left_input=9860, right_input=4856, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=9860","layer":2},{"info":"number node, value=1342","layer":4},{"info":"number node, value=2327","layer":4},{"info":"compute binary expreesion, left_input=1342, right_input=2327, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=347105","layer":3},{"info":"number node, value=5616","layer":4},{"info":"compute unary expreesion, input=5616, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-5790","layer":3},{"info":"compute binary expreesion, left_input=347105, right_input=-5790, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=9860, 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=-12867, 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":10,"result_base":10,"text":"(((⊺⇮1031⪒⊺⇮6103)⫌⩹⨱)↙(⊺⇮7858↺⊺⇮3949)⪘⫢⊺⇮2431∀⇚≩⊺⇮1931)∀⇚≩(⊺⇮4772⪮%⊝⊺⇮2389⨪↰⇹⊺⇮4856⨪↰⇹⊺⇮1711⨽⊺⇮1342≎⊠⪸⊺⇮2327⨐⩸⫘(⨞⊢⊺⇮5616))=NaN","reverse_text":"NaN=(((⊺⇮1031⪒⊺⇮6103)⫌⩹⨱)↙(⊺⇮7858↺⊺⇮3949)⪘⫢⊺⇮2431∀⇚≩⊺⇮1931)∀⇚≩(⊺⇮4772⪮%⊝⊺⇮2389⨪↰⇹⊺⇮4856⨪↰⇹⊺⇮1711⨽⊺⇮1342≎⊠⪸⊺⇮2327⨐⩸⫘(⨞⊢⊺⇮5616))","cot":[{"info":"⊺⇮1031⪒⊺⇮6103=⊺⇮-7134","layer":3},{"info":"⊺⇮-7134⫌⩹⨱=⊺⇮-12867","layer":2},{"info":"⊺⇮7858↺⊺⇮3949=⊺⇮3949","layer":3},{"info":"⊺⇮2431∀⇚≩⊺⇮1931=NaN","layer":3},{"info":"⊺⇮3949⪘⫢NaN=NaN","layer":2},{"info":"⊺⇮-12867↙NaN=⊺⇮-12867","layer":1},{"info":"⊺⇮4772⪮%⊝⊺⇮2389=⊺⇮9860","layer":3},{"info":"⊺⇮4856⨪↰⇹⊺⇮1711=⊺⇮4856","layer":3},{"info":"⊺⇮9860⨪↰⇹⊺⇮4856=⊺⇮9860","layer":2},{"info":"⊺⇮1342≎⊠⪸⊺⇮2327=⊺⇮347105","layer":3},{"info":"⨞⊢⊺⇮5616=⊺⇮-5790","layer":3},{"info":"⊺⇮347105⨐⩸⫘⊺⇮-5790=NaN","layer":2},{"info":"⊺⇮9860⨽NaN=NaN","layer":1},{"info":"⊺⇮-12867∀⇚≩NaN=NaN","layer":0}]}
{"id":818,"expression_no_base_symbol":"⫓⪴(⩦⩻⨪(↣≠⋷($3114$⪒$5135$)))","expression":"⫓⪴(⩦⩻⨪(↣≠⋷(⊺⇮3114⪒⊺⇮5135)))","highest_n_order":4,"priority_hierarchical_complexity":4,"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":3114,"base":10},"right_expr":{"type":"numeric_atoms","value":5135,"base":10}}}}},"used_operators":["eLxqMNBOBk","2td37pGCOC","Asc51vEJeQ","f6k1SAg4EE"],"dependent_operators":["9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3114","layer":4},{"info":"number node, value=5135","layer":4},{"info":"compute binary expreesion, left_input=3114, right_input=5135, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8249","layer":3},{"info":"compute unary expreesion, input=-8249, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⫓⪴(⩦⩻⨪(↣≠⋷(⊺⇮3114⪒⊺⇮5135)))=NaN","reverse_text":"NaN=⫓⪴(⩦⩻⨪(↣≠⋷(⊺⇮3114⪒⊺⇮5135)))","cot":[{"info":"⊺⇮3114⪒⊺⇮5135=⊺⇮-8249","layer":3},{"info":"↣≠⋷⊺⇮-8249=NaN","layer":2},{"info":"⩦⩻⨪NaN=NaN","layer":1},{"info":"⫓⪴NaN=NaN","layer":0}]}
{"id":819,"expression_no_base_symbol":"⫛⫱⨽((⪝⪂⫅$3694$)⨪↰⇹$6157$∼$3866$⋷($6879$⨰$4034$)⪘⫢($4347$⩚⊴⇥$3970$))","expression":"⫛⫱⨽((⪝⪂⫅⊺⇮3694)⨪↰⇹⊺⇮6157∼⊺⇮3866⋷(⊺⇮6879⨰⊺⇮4034)⪘⫢(⊺⇮4347⩚⊴⇥⊺⇮3970))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":544732,"operation_count":8,"complexity_ratio":68091.5,"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":3694,"base":10}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":6157,"base":10},"right_expr":{"type":"numeric_atoms","value":3866,"base":10}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":6879,"base":10},"right_expr":{"type":"numeric_atoms","value":4034,"base":10}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4347,"base":10},"right_expr":{"type":"numeric_atoms","value":3970,"base":10}}}}},"used_operators":["DlLNRPXxWL","23Mk6UjR3U","tmPS8pqC7x","XTarYq4gQB","DyGG3AbaNP","oacrs7FA3X","eewbuw0ToL","NTOWxs364D"],"dependent_operators":["rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","9HNa5Wba9A","8w2t5hMYqp","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3694","layer":4},{"info":"compute unary expreesion, input=3694, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-543018","layer":3},{"info":"number node, value=6157","layer":4},{"info":"number node, value=3866","layer":4},{"info":"compute binary expreesion, left_input=6157, right_input=3866, 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=-543018, 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=-543018","layer":2},{"info":"number node, value=6879","layer":4},{"info":"number node, value=4034","layer":4},{"info":"compute binary expreesion, left_input=6879, right_input=4034, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2855","layer":3},{"info":"number node, value=4347","layer":4},{"info":"number node, value=3970","layer":4},{"info":"compute binary expreesion, left_input=4347, right_input=3970, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8438","layer":3},{"info":"compute binary expreesion, left_input=2855, right_input=-8438, 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=-543018, right_input=-1, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1086036","layer":1},{"info":"compute unary expreesion, input=1086036, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":0}],"base":10,"result_base":10,"text":"⫛⫱⨽((⪝⪂⫅⊺⇮3694)⨪↰⇹⊺⇮6157∼⊺⇮3866⋷(⊺⇮6879⨰⊺⇮4034)⪘⫢(⊺⇮4347⩚⊴⇥⊺⇮3970))=⊺⇮0","reverse_text":"⊺⇮0=⫛⫱⨽((⪝⪂⫅⊺⇮3694)⨪↰⇹⊺⇮6157∼⊺⇮3866⋷(⊺⇮6879⨰⊺⇮4034)⪘⫢(⊺⇮4347⩚⊴⇥⊺⇮3970))","cot":[{"info":"⪝⪂⫅⊺⇮3694=⊺⇮-543018","layer":3},{"info":"⊺⇮6157∼⊺⇮3866=NaN","layer":3},{"info":"⊺⇮-543018⨪↰⇹NaN=⊺⇮-543018","layer":2},{"info":"⊺⇮6879⨰⊺⇮4034=⊺⇮2855","layer":3},{"info":"⊺⇮4347⩚⊴⇥⊺⇮3970=⊺⇮-8438","layer":3},{"info":"⊺⇮2855⪘⫢⊺⇮-8438=⊺⇮-1","layer":2},{"info":"⊺⇮-543018⋷⊺⇮-1=⊺⇮1086036","layer":1},{"info":"⫛⫱⨽⊺⇮1086036=⊺⇮0","layer":0}]}
{"id":820,"expression_no_base_symbol":"(($7832$⨐⩸⫘$7213$)⨰($7774$⨳⩥⨓$2281$)⋫)⋳⪒(⨵≀≌($2688$⇼⇔∾$3436$)∑⇟⊟($1575$⊭↱$1402$))","expression":"((⊺⇮7832⨐⩸⫘⊺⇮7213)⨰(⊺⇮7774⨳⩥⨓⊺⇮2281)⋫)⋳⪒(⨵≀≌(⊺⇮2688⇼⇔∾⊺⇮3436)∑⇟⊟(⊺⇮1575⊭↱⊺⇮1402))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":116330,"operation_count":9,"complexity_ratio":12925.555555555555,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":7832,"base":10},"right_expr":{"type":"numeric_atoms","value":7213,"base":10}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":7774,"base":10},"right_expr":{"type":"numeric_atoms","value":2281,"base":10}}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2688,"base":10},"right_expr":{"type":"numeric_atoms","value":3436,"base":10}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1575,"base":10},"right_expr":{"type":"numeric_atoms","value":1402,"base":10}}}}},"used_operators":["12rbrZMWeM","JL8yIekQnl","eewbuw0ToL","fu6greOZ01","nCS4ZIUYfx","srAu1WTS94","U7g4x0WXJJ","tifHPKVTfV","COABgblf1C"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7832","layer":4},{"info":"number node, value=7213","layer":4},{"info":"compute binary expreesion, left_input=7832, right_input=7213, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=7774","layer":4},{"info":"number node, value=2281","layer":4},{"info":"compute binary expreesion, left_input=7774, right_input=2281, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-5493","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5493, 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 = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":1},{"info":"number node, value=2688","layer":4},{"info":"number node, value=3436","layer":4},{"info":"compute binary expreesion, left_input=2688, right_input=3436, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=748","layer":3},{"info":"number node, value=1575","layer":4},{"info":"number node, value=1402","layer":4},{"info":"compute binary expreesion, left_input=1575, right_input=1402, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-341","layer":3},{"info":"compute binary expreesion, left_input=748, right_input=-341, 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 = 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 = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮7832⨐⩸⫘⊺⇮7213)⨰(⊺⇮7774⨳⩥⨓⊺⇮2281)⋫)⋳⪒(⨵≀≌(⊺⇮2688⇼⇔∾⊺⇮3436)∑⇟⊟(⊺⇮1575⊭↱⊺⇮1402))=NaN","reverse_text":"NaN=((⊺⇮7832⨐⩸⫘⊺⇮7213)⨰(⊺⇮7774⨳⩥⨓⊺⇮2281)⋫)⋳⪒(⨵≀≌(⊺⇮2688⇼⇔∾⊺⇮3436)∑⇟⊟(⊺⇮1575⊭↱⊺⇮1402))","cot":[{"info":"⊺⇮7832⨐⩸⫘⊺⇮7213=NaN","layer":3},{"info":"⊺⇮7774⨳⩥⨓⊺⇮2281=⊺⇮-5493","layer":3},{"info":"NaN⨰⊺⇮-5493=NaN","layer":2},{"info":"NaN⋫=NaN","layer":1},{"info":"⊺⇮2688⇼⇔∾⊺⇮3436=⊺⇮748","layer":3},{"info":"⊺⇮1575⊭↱⊺⇮1402=⊺⇮-341","layer":3},{"info":"⊺⇮748∑⇟⊟⊺⇮-341=NaN","layer":2},{"info":"⨵≀≌NaN=NaN","layer":1},{"info":"NaN⋳⪒NaN=NaN","layer":0}]}
{"id":821,"expression_no_base_symbol":"(⪝⪂⫅(($2061$⫌⩹⨱)⩨$1503$∼$3188$))⩨(↽≂($3273$⨎$2324$⇼⇔∾(⪝⪂⫅$2379$)))","expression":"(⪝⪂⫅((⊺⇮2061⫌⩹⨱)⩨⊺⇮1503∼⊺⇮3188))⩨(↽≂(⊺⇮3273⨎⊺⇮2324⇼⇔∾(⪝⪂⫅⊺⇮2379)))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":206,"operation_count":9,"complexity_ratio":22.88888888888889,"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":2061,"base":10}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1503,"base":10},"right_expr":{"type":"numeric_atoms","value":3188,"base":10}}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3273,"base":10},"right_expr":{"type":"numeric_atoms","value":2324,"base":10}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":2379,"base":10}}}}},"used_operators":["2DlMacCsIx","XTarYq4gQB","EBcxylXtPf","DyGG3AbaNP","u6S6b8DprG","tifHPKVTfV","rJVOvQCfKK"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2061","layer":4},{"info":"compute unary expreesion, input=2061, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=5523","layer":3},{"info":"number node, value=1503","layer":4},{"info":"number node, value=3188","layer":4},{"info":"compute binary expreesion, left_input=1503, right_input=3188, 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=5523, 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 = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":1},{"info":"number node, value=3273","layer":4},{"info":"number node, value=2324","layer":4},{"info":"compute binary expreesion, left_input=3273, right_input=2324, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2324","layer":3},{"info":"number node, value=2379","layer":4},{"info":"compute unary expreesion, input=2379, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-349713","layer":3},{"info":"compute binary expreesion, left_input=2324, right_input=-349713, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-352037","layer":2},{"info":"compute unary expreesion, input=-352037, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=704074","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=704074, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⪝⪂⫅((⊺⇮2061⫌⩹⨱)⩨⊺⇮1503∼⊺⇮3188))⩨(↽≂(⊺⇮3273⨎⊺⇮2324⇼⇔∾(⪝⪂⫅⊺⇮2379)))=NaN","reverse_text":"NaN=(⪝⪂⫅((⊺⇮2061⫌⩹⨱)⩨⊺⇮1503∼⊺⇮3188))⩨(↽≂(⊺⇮3273⨎⊺⇮2324⇼⇔∾(⪝⪂⫅⊺⇮2379)))","cot":[{"info":"⊺⇮2061⫌⩹⨱=⊺⇮5523","layer":3},{"info":"⊺⇮1503∼⊺⇮3188=NaN","layer":3},{"info":"⊺⇮5523⩨NaN=NaN","layer":2},{"info":"⪝⪂⫅NaN=NaN","layer":1},{"info":"⊺⇮3273⨎⊺⇮2324=⊺⇮2324","layer":3},{"info":"⪝⪂⫅⊺⇮2379=⊺⇮-349713","layer":3},{"info":"⊺⇮2324⇼⇔∾⊺⇮-349713=⊺⇮-352037","layer":2},{"info":"↽≂⊺⇮-352037=⊺⇮704074","layer":1},{"info":"NaN⩨⊺⇮704074=NaN","layer":0}]}
{"id":822,"expression_no_base_symbol":"(⊄⩳↩(⨞⊢($3247$⩤)))⊭∹↮","expression":"(⊄⩳↩(⨞⊢(⊺⇮3247⩤)))⊭∹↮","highest_n_order":2,"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":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":3247,"base":10}}}}},"used_operators":["xNBdhnnwKq","8w2t5hMYqp","xUOZtlo3hN","Z2TMIBDE3Q"],"dependent_operators":["2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⊺⇮-9219","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3247","layer":4},{"info":"compute unary expreesion, input=3247, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-3247","layer":3},{"info":"compute unary expreesion, input=-3247, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=3073","layer":2},{"info":"compute unary expreesion, input=3073, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-9219","layer":1},{"info":"compute unary expreesion, input=-9219, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=-9219","layer":0}],"base":10,"result_base":10,"text":"(⊄⩳↩(⨞⊢(⊺⇮3247⩤)))⊭∹↮=⊺⇮-9219","reverse_text":"⊺⇮-9219=(⊄⩳↩(⨞⊢(⊺⇮3247⩤)))⊭∹↮","cot":[{"info":"⊺⇮3247⩤=⊺⇮-3247","layer":3},{"info":"⨞⊢⊺⇮-3247=⊺⇮3073","layer":2},{"info":"⊄⩳↩⊺⇮3073=⊺⇮-9219","layer":1},{"info":"⊺⇮-9219⊭∹↮=⊺⇮-9219","layer":0}]}
{"id":823,"expression_no_base_symbol":"(($1072$≦≮≮)⇼⇔∾(⫓⪴$1482$)-(≦∁$2516$)⪄($1534$/$4162$))⋝⋈⪟(($4631$⊪)∼($6395$⨰$1347$)⫡⨏($3898$⨸⪁$1262$+$2803$⩚⊴⇥$1160$))","expression":"((⊺⇮1072≦≮≮)⇼⇔∾(⫓⪴⊺⇮1482)-(≦∁⊺⇮2516)⪄(⊺⇮1534/⊺⇮4162))⋝⋈⪟((⊺⇮4631⊪)∼(⊺⇮6395⨰⊺⇮1347)⫡⨏(⊺⇮3898⨸⪁⊺⇮1262+⊺⇮2803⩚⊴⇥⊺⇮1160))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1644,"operation_count":15,"complexity_ratio":109.6,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1072,"base":10}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1482,"base":10}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2516,"base":10}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1534,"base":10},"right_expr":{"type":"numeric_atoms","value":4162,"base":10}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":4631,"base":10}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":6395,"base":10},"right_expr":{"type":"numeric_atoms","value":1347,"base":10}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3898,"base":10},"right_expr":{"type":"numeric_atoms","value":1262,"base":10}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2803,"base":10},"right_expr":{"type":"numeric_atoms","value":1160,"base":10}}}}},"used_operators":["2DDjHMKMc0","rysDP5nf3Z","tifHPKVTfV","D4vGDi5EA2","eLxqMNBOBk","SUmda5xLS4","9ICcGScMcE","XhwjNDsVaA","QMFrweE19q","DyGG3AbaNP","zVYPLywUTj","eewbuw0ToL","W4YGzv6Whe","g55IO6H4Gj","NTOWxs364D"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1072","layer":4},{"info":"compute unary expreesion, input=1072, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-3216","layer":3},{"info":"number node, value=1482","layer":4},{"info":"compute unary expreesion, input=1482, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=2196324","layer":3},{"info":"compute binary expreesion, left_input=-3216, right_input=2196324, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=2199540","layer":2},{"info":"number node, value=2516","layer":4},{"info":"compute unary expreesion, input=2516, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2516","layer":3},{"info":"number node, value=1534","layer":4},{"info":"number node, value=4162","layer":4},{"info":"compute binary expreesion, left_input=1534, right_input=4162, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=2516, right_input=0, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-368457","layer":2},{"info":"compute binary expreesion, left_input=2199540, right_input=-368457, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2567997","layer":1},{"info":"number node, value=4631","layer":4},{"info":"compute unary expreesion, input=4631, 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=6395","layer":4},{"info":"number node, value=1347","layer":4},{"info":"compute binary expreesion, left_input=6395, right_input=1347, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=5058","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5058, 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=3898","layer":4},{"info":"number node, value=1262","layer":4},{"info":"compute binary expreesion, left_input=3898, right_input=1262, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10320","layer":3},{"info":"number node, value=2803","layer":4},{"info":"number node, value=1160","layer":4},{"info":"compute binary expreesion, left_input=2803, right_input=1160, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4084","layer":3},{"info":"compute binary expreesion, left_input=10320, right_input=-4084, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6236","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=6236, op_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=2567997, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1072≦≮≮)⇼⇔∾(⫓⪴⊺⇮1482)-(≦∁⊺⇮2516)⪄(⊺⇮1534/⊺⇮4162))⋝⋈⪟((⊺⇮4631⊪)∼(⊺⇮6395⨰⊺⇮1347)⫡⨏(⊺⇮3898⨸⪁⊺⇮1262+⊺⇮2803⩚⊴⇥⊺⇮1160))=NaN","reverse_text":"NaN=((⊺⇮1072≦≮≮)⇼⇔∾(⫓⪴⊺⇮1482)-(≦∁⊺⇮2516)⪄(⊺⇮1534/⊺⇮4162))⋝⋈⪟((⊺⇮4631⊪)∼(⊺⇮6395⨰⊺⇮1347)⫡⨏(⊺⇮3898⨸⪁⊺⇮1262+⊺⇮2803⩚⊴⇥⊺⇮1160))","cot":[{"info":"⊺⇮1072≦≮≮=⊺⇮-3216","layer":3},{"info":"⫓⪴⊺⇮1482=⊺⇮2196324","layer":3},{"info":"⊺⇮-3216⇼⇔∾⊺⇮2196324=⊺⇮2199540","layer":2},{"info":"≦∁⊺⇮2516=⊺⇮2516","layer":3},{"info":"⊺⇮1534/⊺⇮4162=⊺⇮0","layer":3},{"info":"⊺⇮2516⪄⊺⇮0=⊺⇮-368457","layer":2},{"info":"⊺⇮2199540-⊺⇮-368457=⊺⇮2567997","layer":1},{"info":"⊺⇮4631⊪=⊺⇮0","layer":3},{"info":"⊺⇮6395⨰⊺⇮1347=⊺⇮5058","layer":3},{"info":"⊺⇮0∼⊺⇮5058=NaN","layer":2},{"info":"⊺⇮3898⨸⪁⊺⇮1262=⊺⇮10320","layer":3},{"info":"⊺⇮2803⩚⊴⇥⊺⇮1160=⊺⇮-4084","layer":3},{"info":"⊺⇮10320+⊺⇮-4084=⊺⇮6236","layer":2},{"info":"NaN⫡⨏⊺⇮6236=NaN","layer":1},{"info":"⊺⇮2567997⋝⋈⪟NaN=NaN","layer":0}]}
{"id":824,"expression_no_base_symbol":"(⨞⊢($3728$⨽$5025$⨸⪁$2110$⨐⩸⫘$5449$))≹⇙⪍((∂(∂$5624$))≧⫂∧(⨰⫟⨤$1386$⪘⫢$2523$))","expression":"(⨞⊢(⊺⇮3728⨽⊺⇮5025⨸⪁⊺⇮2110⨐⩸⫘⊺⇮5449))≹⇙⪍((∂(∂⊺⇮5624))≧⫂∧(⨰⫟⨤⊺⇮1386⪘⫢⊺⇮2523))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":13514,"operation_count":10,"complexity_ratio":1351.4,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3728,"base":10},"right_expr":{"type":"numeric_atoms","value":5025,"base":10}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2110,"base":10},"right_expr":{"type":"numeric_atoms","value":5449,"base":10}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":5624,"base":10}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1386,"base":10},"right_expr":{"type":"numeric_atoms","value":2523,"base":10}}}}},"used_operators":["AHs5Up7iyr","xUOZtlo3hN","g55IO6H4Gj","8HhzD0ZcuI","fu6greOZ01","Ph9nP6C5qx","Uaa54Peajs","Tw270M8GLb","oacrs7FA3X"],"dependent_operators":["dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3728","layer":4},{"info":"number node, value=5025","layer":4},{"info":"compute binary expreesion, left_input=3728, right_input=5025, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-41707713","layer":3},{"info":"number node, value=2110","layer":4},{"info":"number node, value=5449","layer":4},{"info":"compute binary expreesion, left_input=2110, right_input=5449, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=-41707713, 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 = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":1},{"info":"number node, value=5624","layer":4},{"info":"compute unary expreesion, input=5624, 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 = 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=1386","layer":4},{"info":"number node, value=2523","layer":4},{"info":"compute binary expreesion, left_input=1386, right_input=2523, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2648","layer":3},{"info":"compute unary expreesion, input=2648, 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 = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⨞⊢(⊺⇮3728⨽⊺⇮5025⨸⪁⊺⇮2110⨐⩸⫘⊺⇮5449))≹⇙⪍((∂(∂⊺⇮5624))≧⫂∧(⨰⫟⨤⊺⇮1386⪘⫢⊺⇮2523))=NaN","reverse_text":"NaN=(⨞⊢(⊺⇮3728⨽⊺⇮5025⨸⪁⊺⇮2110⨐⩸⫘⊺⇮5449))≹⇙⪍((∂(∂⊺⇮5624))≧⫂∧(⨰⫟⨤⊺⇮1386⪘⫢⊺⇮2523))","cot":[{"info":"⊺⇮3728⨽⊺⇮5025=⊺⇮-41707713","layer":3},{"info":"⊺⇮2110⨐⩸⫘⊺⇮5449=NaN","layer":3},{"info":"⊺⇮-41707713⨸⪁NaN=NaN","layer":2},{"info":"⨞⊢NaN=NaN","layer":1},{"info":"∂⊺⇮5624=NaN","layer":3},{"info":"∂NaN=NaN","layer":2},{"info":"⊺⇮1386⪘⫢⊺⇮2523=⊺⇮2648","layer":3},{"info":"⨰⫟⨤⊺⇮2648=NaN","layer":2},{"info":"NaN≧⫂∧NaN=NaN","layer":1},{"info":"NaN≹⇙⪍NaN=NaN","layer":0}]}
{"id":825,"expression_no_base_symbol":"((⨵≀≌$1082$⋓$1544$)⨽($1100$⨸⪁$1884$)⇷($3309$⨵⪆$2020$))⩤","expression":"((⨵≀≌⊺⇮1082⋓⊺⇮1544)⨽(⊺⇮1100⨸⪁⊺⇮1884)⇷(⊺⇮3309⨵⪆⊺⇮2020))⩤","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":83592,"operation_count":7,"complexity_ratio":11941.714285714286,"tree":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1082,"base":10},"right_expr":{"type":"numeric_atoms","value":1544,"base":10}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1100,"base":10},"right_expr":{"type":"numeric_atoms","value":1884,"base":10}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3309,"base":10},"right_expr":{"type":"numeric_atoms","value":2020,"base":10}}}}},"used_operators":["Z2TMIBDE3Q","8HhzD0ZcuI","srAu1WTS94","T2fj7uvVaJ","mp7IySMOzn","g55IO6H4Gj","2DQ55sFlQl"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⊺⇮-354","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1082","layer":4},{"info":"number node, value=1544","layer":4},{"info":"compute binary expreesion, left_input=1082, right_input=1544, op_id = T2fj7uvVaJ binary_op_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 = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=0","layer":2},{"info":"number node, value=1100","layer":4},{"info":"number node, value=1884","layer":4},{"info":"compute binary expreesion, left_input=1100, right_input=1884, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=5968","layer":3},{"info":"number node, value=3309","layer":4},{"info":"number node, value=2020","layer":4},{"info":"compute binary expreesion, left_input=3309, right_input=2020, 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=5968, right_input=160, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=320","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=320, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=354","layer":1},{"info":"compute unary expreesion, input=354, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-354","layer":0}],"base":10,"result_base":10,"text":"((⨵≀≌⊺⇮1082⋓⊺⇮1544)⨽(⊺⇮1100⨸⪁⊺⇮1884)⇷(⊺⇮3309⨵⪆⊺⇮2020))⩤=⊺⇮-354","reverse_text":"⊺⇮-354=((⨵≀≌⊺⇮1082⋓⊺⇮1544)⨽(⊺⇮1100⨸⪁⊺⇮1884)⇷(⊺⇮3309⨵⪆⊺⇮2020))⩤","cot":[{"info":"⊺⇮1082⋓⊺⇮1544=⊺⇮0","layer":3},{"info":"⨵≀≌⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮1100⨸⪁⊺⇮1884=⊺⇮5968","layer":3},{"info":"⊺⇮3309⨵⪆⊺⇮2020=⊺⇮160","layer":3},{"info":"⊺⇮5968⇷⊺⇮160=⊺⇮320","layer":2},{"info":"⊺⇮0⨽⊺⇮320=⊺⇮354","layer":1},{"info":"⊺⇮354⩤=⊺⇮-354","layer":0}]}
{"id":826,"expression_no_base_symbol":"≉($1787$⩷∴$1598$)⇷($3380$⊪)≎⊠⪸(↣≠⋷($5427$≋⫹))","expression":"≉(⊺⇮1787⩷∴⊺⇮1598)⇷(⊺⇮3380⊪)≎⊠⪸(↣≠⋷(⊺⇮5427≋⫹))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4908,"operation_count":7,"complexity_ratio":701.1428571428571,"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":1787,"base":10},"right_expr":{"type":"numeric_atoms","value":1598,"base":10}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":3380,"base":10}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":5427,"base":10}}}}},"used_operators":["e1ybzncUwg","bJkvcejdHO","mp7IySMOzn","9FxExcQeMw","zVYPLywUTj","Asc51vEJeQ","N41Kp7NANJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮598","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1787","layer":4},{"info":"number node, value=1598","layer":4},{"info":"compute binary expreesion, left_input=1787, right_input=1598, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=346","layer":3},{"info":"number node, value=3380","layer":4},{"info":"compute unary expreesion, input=3380, 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=346, right_input=0, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":2},{"info":"number node, value=5427","layer":4},{"info":"compute unary expreesion, input=5427, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-10854","layer":3},{"info":"compute unary expreesion, input=-10854, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 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":10,"result_base":10,"text":"≉(⊺⇮1787⩷∴⊺⇮1598)⇷(⊺⇮3380⊪)≎⊠⪸(↣≠⋷(⊺⇮5427≋⫹))=⊺⇮598","reverse_text":"⊺⇮598=≉(⊺⇮1787⩷∴⊺⇮1598)⇷(⊺⇮3380⊪)≎⊠⪸(↣≠⋷(⊺⇮5427≋⫹))","cot":[{"info":"⊺⇮1787⩷∴⊺⇮1598=⊺⇮346","layer":3},{"info":"⊺⇮3380⊪=⊺⇮0","layer":3},{"info":"⊺⇮346⇷⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮5427≋⫹=⊺⇮-10854","layer":3},{"info":"↣≠⋷⊺⇮-10854=NaN","layer":2},{"info":"⊺⇮0≎⊠⪸NaN=⊺⇮67","layer":1},{"info":"≉⊺⇮67=⊺⇮598","layer":0}]}
{"id":827,"expression_no_base_symbol":"(((∂$4519$)⨵⪆($1253$⊘))⨐⩸⫘($1451$∧)⪢($1644$⪨≂$1237$))∑⇟⊟(($2458$⩷∴$4688$)≦≮≮)∼((⩦⩻⨪$1034$)⫸⊐(⪲⇎$7367$))","expression":"(((∂⊺⇮4519)⨵⪆(⊺⇮1253⊘))⨐⩸⫘(⊺⇮1451∧)⪢(⊺⇮1644⪨≂⊺⇮1237))∑⇟⊟((⊺⇮2458⩷∴⊺⇮4688)≦≮≮)∼((⩦⩻⨪⊺⇮1034)⫸⊐(⪲⇎⊺⇮7367))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1254,"operation_count":14,"complexity_ratio":89.57142857142857,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":4519,"base":10}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1253,"base":10}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1451,"base":10}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1644,"base":10},"right_expr":{"type":"numeric_atoms","value":1237,"base":10}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2458,"base":10},"right_expr":{"type":"numeric_atoms","value":4688,"base":10}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1034,"base":10}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":7367,"base":10}}}}},"used_operators":["U7g4x0WXJJ","fu6greOZ01","2DQ55sFlQl","Uaa54Peajs","gu96TGCTMs","dWAJyo7jo9","z63VuFQld9","sdazOOVcIp","DyGG3AbaNP","D4vGDi5EA2","9FxExcQeMw","mqXw5SEYmG","2td37pGCOC","XPYlsWDdGa"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","k8jYdgA6NY","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4519","layer":4},{"info":"compute unary expreesion, input=4519, 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=1253","layer":4},{"info":"compute unary expreesion, input=1253, 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 = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=1451","layer":4},{"info":"compute unary expreesion, input=1451, 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=1644","layer":4},{"info":"number node, value=1237","layer":4},{"info":"compute binary expreesion, left_input=1644, right_input=1237, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=916","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=916, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=160, 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=2458","layer":4},{"info":"number node, value=4688","layer":4},{"info":"compute binary expreesion, left_input=2458, right_input=4688, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-4492","layer":3},{"info":"compute unary expreesion, input=-4492, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=13476","layer":2},{"info":"number node, value=1034","layer":4},{"info":"compute unary expreesion, input=1034, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1034","layer":3},{"info":"number node, value=7367","layer":4},{"info":"compute unary expreesion, input=7367, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=14734","layer":3},{"info":"compute binary expreesion, left_input=1034, right_input=14734, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=58811","layer":2},{"info":"compute binary expreesion, left_input=13476, right_input=58811, 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 = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((∂⊺⇮4519)⨵⪆(⊺⇮1253⊘))⨐⩸⫘(⊺⇮1451∧)⪢(⊺⇮1644⪨≂⊺⇮1237))∑⇟⊟((⊺⇮2458⩷∴⊺⇮4688)≦≮≮)∼((⩦⩻⨪⊺⇮1034)⫸⊐(⪲⇎⊺⇮7367))=NaN","reverse_text":"NaN=(((∂⊺⇮4519)⨵⪆(⊺⇮1253⊘))⨐⩸⫘(⊺⇮1451∧)⪢(⊺⇮1644⪨≂⊺⇮1237))∑⇟⊟((⊺⇮2458⩷∴⊺⇮4688)≦≮≮)∼((⩦⩻⨪⊺⇮1034)⫸⊐(⪲⇎⊺⇮7367))","cot":[{"info":"∂⊺⇮4519=NaN","layer":3},{"info":"⊺⇮1253⊘=⊺⇮0","layer":3},{"info":"NaN⨵⪆⊺⇮0=⊺⇮160","layer":2},{"info":"⊺⇮1451∧=NaN","layer":3},{"info":"⊺⇮1644⪨≂⊺⇮1237=⊺⇮916","layer":3},{"info":"NaN⪢⊺⇮916=NaN","layer":2},{"info":"⊺⇮160⨐⩸⫘NaN=NaN","layer":1},{"info":"⊺⇮2458⩷∴⊺⇮4688=⊺⇮-4492","layer":3},{"info":"⊺⇮-4492≦≮≮=⊺⇮13476","layer":2},{"info":"⩦⩻⨪⊺⇮1034=⊺⇮1034","layer":3},{"info":"⪲⇎⊺⇮7367=⊺⇮14734","layer":3},{"info":"⊺⇮1034⫸⊐⊺⇮14734=⊺⇮58811","layer":2},{"info":"⊺⇮13476∼⊺⇮58811=NaN","layer":1},{"info":"NaN∑⇟⊟NaN=NaN","layer":0}]}
{"id":828,"expression_no_base_symbol":"($1083$⨰$1227$⊘)≭($4811$⪄$5442$⋷(⨵≀≌$3365$))/(⇁⨣⪵$2370$⪛$4388$⨽$3417$+⇶⊼$1540$)","expression":"(⊺⇮1083⨰⊺⇮1227⊘)≭(⊺⇮4811⪄⊺⇮5442⋷(⨵≀≌⊺⇮3365))/(⇁⨣⪵⊺⇮2370⪛⊺⇮4388⨽⊺⇮3417+⇶⊼⊺⇮1540)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2515,"operation_count":11,"complexity_ratio":228.63636363636363,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1083,"base":10},"right_expr":{"type":"numeric_atoms","value":1227,"base":10}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4811,"base":10},"right_expr":{"type":"numeric_atoms","value":5442,"base":10}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":3365,"base":10}}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2370,"base":10},"right_expr":{"type":"numeric_atoms","value":4388,"base":10}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3417,"base":10},"right_expr":{"type":"numeric_atoms","value":1540,"base":10}}}}},"used_operators":["XhwjNDsVaA","rxpJgHHUmx","gu96TGCTMs","eewbuw0ToL","23Mk6UjR3U","SUmda5xLS4","srAu1WTS94","inkyxCbjAn","8HhzD0ZcuI","uFcxV4UQCh","TpPTUOHfaN"],"dependent_operators":["rysDP5nf3Z","AHs5Up7iyr","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","B5M0gjZbta","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1083","layer":4},{"info":"number node, value=1227","layer":4},{"info":"compute binary expreesion, left_input=1083, right_input=1227, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-134","layer":3},{"info":"compute unary expreesion, input=-134, 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=4811","layer":4},{"info":"number node, value=5442","layer":4},{"info":"compute binary expreesion, left_input=4811, right_input=5442, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-729885","layer":3},{"info":"number node, value=3365","layer":4},{"info":"compute unary expreesion, input=3365, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-10095","layer":3},{"info":"compute binary expreesion, left_input=-729885, right_input=-10095, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1459770","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=1459770, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=2370","layer":4},{"info":"number node, value=4388","layer":4},{"info":"compute binary expreesion, left_input=2370, right_input=4388, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2370","layer":3},{"info":"number node, value=3417","layer":4},{"info":"number node, value=1540","layer":4},{"info":"compute binary expreesion, left_input=3417, right_input=1540, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=2370, 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 = 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":10,"result_base":10,"text":"(⊺⇮1083⨰⊺⇮1227⊘)≭(⊺⇮4811⪄⊺⇮5442⋷(⨵≀≌⊺⇮3365))/(⇁⨣⪵⊺⇮2370⪛⊺⇮4388⨽⊺⇮3417+⇶⊼⊺⇮1540)=NaN","reverse_text":"NaN=(⊺⇮1083⨰⊺⇮1227⊘)≭(⊺⇮4811⪄⊺⇮5442⋷(⨵≀≌⊺⇮3365))/(⇁⨣⪵⊺⇮2370⪛⊺⇮4388⨽⊺⇮3417+⇶⊼⊺⇮1540)","cot":[{"info":"⊺⇮1083⨰⊺⇮1227=⊺⇮-134","layer":3},{"info":"⊺⇮-134⊘=⊺⇮0","layer":2},{"info":"⊺⇮4811⪄⊺⇮5442=⊺⇮-729885","layer":3},{"info":"⨵≀≌⊺⇮3365=⊺⇮-10095","layer":3},{"info":"⊺⇮-729885⋷⊺⇮-10095=⊺⇮1459770","layer":2},{"info":"⊺⇮0≭⊺⇮1459770=NaN","layer":1},{"info":"⊺⇮2370⪛⊺⇮4388=⊺⇮2370","layer":3},{"info":"⊺⇮3417+⇶⊼⊺⇮1540=NaN","layer":3},{"info":"⊺⇮2370⨽NaN=NaN","layer":2},{"info":"⇁⨣⪵NaN=NaN","layer":1},{"info":"NaN/NaN=NaN","layer":0}]}
{"id":829,"expression_no_base_symbol":"(($1251$⩷∴$7367$)⨓($1069$⫸⊐$2029$))⨪↰⇹($1087$⪒$2673$)⪢$1190$⪮%⊝$4969$⋥≓≎(⋗⩬⋾($8932$≎⊠⪸$1834$)⪢($5868$⋳⪒$5801$))","expression":"((⊺⇮1251⩷∴⊺⇮7367)⨓(⊺⇮1069⫸⊐⊺⇮2029))⨪↰⇹(⊺⇮1087⪒⊺⇮2673)⪢⊺⇮1190⪮%⊝⊺⇮4969⋥≓≎(⋗⩬⋾(⊺⇮8932≎⊠⪸⊺⇮1834)⪢(⊺⇮5868⋳⪒⊺⇮5801))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4269369,"operation_count":12,"complexity_ratio":355780.75,"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":1251,"base":10},"right_expr":{"type":"numeric_atoms","value":7367,"base":10}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1069,"base":10},"right_expr":{"type":"numeric_atoms","value":2029,"base":10}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1087,"base":10},"right_expr":{"type":"numeric_atoms","value":2673,"base":10}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1190,"base":10},"right_expr":{"type":"numeric_atoms","value":4969,"base":10}}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":8932,"base":10},"right_expr":{"type":"numeric_atoms","value":1834,"base":10}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":5868,"base":10},"right_expr":{"type":"numeric_atoms","value":5801,"base":10}}}}},"used_operators":["Qy55tPpLXF","tmPS8pqC7x","3ViojmjbAp","9FxExcQeMw","mqXw5SEYmG","dWAJyo7jo9","f6k1SAg4EE","IWmyXbctLI","DpFCA1CohY","bJkvcejdHO","12rbrZMWeM"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"⊺⇮67","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1251","layer":4},{"info":"number node, value=7367","layer":4},{"info":"compute binary expreesion, left_input=1251, right_input=7367, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-12264","layer":3},{"info":"number node, value=1069","layer":4},{"info":"number node, value=2029","layer":4},{"info":"compute binary expreesion, left_input=1069, right_input=2029, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=7991","layer":3},{"info":"compute binary expreesion, left_input=-12264, right_input=7991, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-7994","layer":2},{"info":"number node, value=1087","layer":4},{"info":"number node, value=2673","layer":4},{"info":"compute binary expreesion, left_input=1087, right_input=2673, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3760","layer":3},{"info":"number node, value=1190","layer":4},{"info":"number node, value=4969","layer":4},{"info":"compute binary expreesion, left_input=1190, right_input=4969, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2696","layer":3},{"info":"compute binary expreesion, left_input=-3760, right_input=2696, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=-7994, 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=-7994","layer":1},{"info":"number node, value=8932","layer":4},{"info":"number node, value=1834","layer":4},{"info":"compute binary expreesion, left_input=8932, right_input=1834, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=2312915","layer":3},{"info":"number node, value=5868","layer":4},{"info":"number node, value=5801","layer":4},{"info":"compute binary expreesion, left_input=5868, right_input=5801, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=5648","layer":3},{"info":"compute binary expreesion, left_input=2312915, right_input=5648, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = 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=-7994, 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":10,"result_base":10,"text":"((⊺⇮1251⩷∴⊺⇮7367)⨓(⊺⇮1069⫸⊐⊺⇮2029))⨪↰⇹(⊺⇮1087⪒⊺⇮2673)⪢⊺⇮1190⪮%⊝⊺⇮4969⋥≓≎(⋗⩬⋾(⊺⇮8932≎⊠⪸⊺⇮1834)⪢(⊺⇮5868⋳⪒⊺⇮5801))=⊺⇮67","reverse_text":"⊺⇮67=((⊺⇮1251⩷∴⊺⇮7367)⨓(⊺⇮1069⫸⊐⊺⇮2029))⨪↰⇹(⊺⇮1087⪒⊺⇮2673)⪢⊺⇮1190⪮%⊝⊺⇮4969⋥≓≎(⋗⩬⋾(⊺⇮8932≎⊠⪸⊺⇮1834)⪢(⊺⇮5868⋳⪒⊺⇮5801))","cot":[{"info":"⊺⇮1251⩷∴⊺⇮7367=⊺⇮-12264","layer":3},{"info":"⊺⇮1069⫸⊐⊺⇮2029=⊺⇮7991","layer":3},{"info":"⊺⇮-12264⨓⊺⇮7991=⊺⇮-7994","layer":2},{"info":"⊺⇮1087⪒⊺⇮2673=⊺⇮-3760","layer":3},{"info":"⊺⇮1190⪮%⊝⊺⇮4969=⊺⇮2696","layer":3},{"info":"⊺⇮-3760⪢⊺⇮2696=NaN","layer":2},{"info":"⊺⇮-7994⨪↰⇹NaN=⊺⇮-7994","layer":1},{"info":"⊺⇮8932≎⊠⪸⊺⇮1834=⊺⇮2312915","layer":3},{"info":"⊺⇮5868⋳⪒⊺⇮5801=⊺⇮5648","layer":3},{"info":"⊺⇮2312915⪢⊺⇮5648=NaN","layer":2},{"info":"⋗⩬⋾NaN=NaN","layer":1},{"info":"⊺⇮-7994⋥≓≎NaN=⊺⇮67","layer":0}]}
{"id":830,"expression_no_base_symbol":"(+⊝⨔(⊥(∂$2964$)))⨳⩥⨓(($2942$+⇶⊼$4021$≣⋋)↪⪝)","expression":"(+⊝⨔(⊥(∂⊺⇮2964)))⨳⩥⨓((⊺⇮2942+⇶⊼⊺⇮4021≣⋋)↪⪝)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":35,"operation_count":7,"complexity_ratio":5.0,"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":2964,"base":10}}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2942,"base":10},"right_expr":{"type":"numeric_atoms","value":4021,"base":10}}}}},"used_operators":["nCS4ZIUYfx","DhbWaqg5eL","Q3PJZHRvZv","Uaa54Peajs","l07mrZUIn9","Tcnh7f0tEr","TpPTUOHfaN"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","fu6greOZ01","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","9HNa5Wba9A","2DDjHMKMc0","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=2964","layer":4},{"info":"compute unary expreesion, input=2964, 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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":1},{"info":"number node, value=2942","layer":4},{"info":"number node, value=4021","layer":4},{"info":"compute binary expreesion, left_input=2942, right_input=4021, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1522, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(+⊝⨔(⊥(∂⊺⇮2964)))⨳⩥⨓((⊺⇮2942+⇶⊼⊺⇮4021≣⋋)↪⪝)=NaN","reverse_text":"NaN=(+⊝⨔(⊥(∂⊺⇮2964)))⨳⩥⨓((⊺⇮2942+⇶⊼⊺⇮4021≣⋋)↪⪝)","cot":[{"info":"∂⊺⇮2964=NaN","layer":3},{"info":"⊥NaN=NaN","layer":2},{"info":"+⊝⨔NaN=⊺⇮1522","layer":1},{"info":"⊺⇮2942+⇶⊼⊺⇮4021=NaN","layer":3},{"info":"NaN≣⋋=NaN","layer":2},{"info":"NaN↪⪝=NaN","layer":1},{"info":"⊺⇮1522⨳⩥⨓NaN=NaN","layer":0}]}
{"id":831,"expression_no_base_symbol":"⩦⩻⨪(↽≂($1542$⫌⩹⨱))⨰((⩦⩻⨪$1095$)↺(↩$4375$))","expression":"⩦⩻⨪(↽≂(⊺⇮1542⫌⩹⨱))⨰((⩦⩻⨪⊺⇮1095)↺(↩⊺⇮4375))","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":40,"operation_count":7,"complexity_ratio":5.714285714285714,"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":1542,"base":10}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1095,"base":10}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":4375,"base":10}}}}},"used_operators":["2td37pGCOC","eewbuw0ToL","u6S6b8DprG","EBcxylXtPf","7j4O788W3g","jLgFTUHLKL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"⊺⇮23260","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1542","layer":4},{"info":"compute unary expreesion, input=1542, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=4485","layer":3},{"info":"compute unary expreesion, input=4485, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-8970","layer":2},{"info":"number node, value=1095","layer":4},{"info":"compute unary expreesion, input=1095, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1095","layer":3},{"info":"number node, value=4375","layer":4},{"info":"compute unary expreesion, input=4375, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-32220","layer":3},{"info":"compute binary expreesion, left_input=1095, right_input=-32220, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-32220","layer":2},{"info":"compute binary expreesion, left_input=-8970, right_input=-32220, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=23260","layer":1},{"info":"compute unary expreesion, input=23260, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=23260","layer":0}],"base":10,"result_base":10,"text":"⩦⩻⨪(↽≂(⊺⇮1542⫌⩹⨱))⨰((⩦⩻⨪⊺⇮1095)↺(↩⊺⇮4375))=⊺⇮23260","reverse_text":"⊺⇮23260=⩦⩻⨪(↽≂(⊺⇮1542⫌⩹⨱))⨰((⩦⩻⨪⊺⇮1095)↺(↩⊺⇮4375))","cot":[{"info":"⊺⇮1542⫌⩹⨱=⊺⇮4485","layer":3},{"info":"↽≂⊺⇮4485=⊺⇮-8970","layer":2},{"info":"⩦⩻⨪⊺⇮1095=⊺⇮1095","layer":3},{"info":"↩⊺⇮4375=⊺⇮-32220","layer":3},{"info":"⊺⇮1095↺⊺⇮-32220=⊺⇮-32220","layer":2},{"info":"⊺⇮-8970⨰⊺⇮-32220=⊺⇮23260","layer":1},{"info":"⩦⩻⨪⊺⇮23260=⊺⇮23260","layer":0}]}
{"id":832,"expression_no_base_symbol":"($3839$⪢$5824$⨽(⨈⫕$2683$))⨐⩸⫘(($1925$⇋≉)⨸⪁($5836$⋷$1777$))⋷($3694$⋝⋈⪟$1056$⨵⪆$1501$⪄$1722$)⊉≛↸$5701$⪮%⊝$2216$⫥∨⫟($3534$+$1006$)","expression":"(⊺⇮3839⪢⊺⇮5824⨽(⨈⫕⊺⇮2683))⨐⩸⫘((⊺⇮1925⇋≉)⨸⪁(⊺⇮5836⋷⊺⇮1777))⋷(⊺⇮3694⋝⋈⪟⊺⇮1056⨵⪆⊺⇮1501⪄⊺⇮1722)⊉≛↸⊺⇮5701⪮%⊝⊺⇮2216⫥∨⫟(⊺⇮3534+⊺⇮1006)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6497,"operation_count":15,"complexity_ratio":433.1333333333333,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3839,"base":10},"right_expr":{"type":"numeric_atoms","value":5824,"base":10}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2683,"base":10}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1925,"base":10}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":5836,"base":10},"right_expr":{"type":"numeric_atoms","value":1777,"base":10}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3694,"base":10},"right_expr":{"type":"numeric_atoms","value":1056,"base":10}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1501,"base":10},"right_expr":{"type":"numeric_atoms","value":1722,"base":10}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":5701,"base":10},"right_expr":{"type":"numeric_atoms","value":2216,"base":10}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3534,"base":10},"right_expr":{"type":"numeric_atoms","value":1006,"base":10}}}}},"used_operators":["23Mk6UjR3U","fu6greOZ01","8HhzD0ZcuI","dWAJyo7jo9","megm06wKyl","g55IO6H4Gj","XIabStNQrY","DZ8iAZOCBD","2DQ55sFlQl","2DDjHMKMc0","SUmda5xLS4","KYD54nUTWz","IWmyXbctLI","W4YGzv6Whe"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","k8jYdgA6NY","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","8HhzD0ZcuI","rGHVDoGpnC","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3839","layer":4},{"info":"number node, value=5824","layer":4},{"info":"compute binary expreesion, left_input=3839, right_input=5824, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=2683","layer":4},{"info":"compute unary expreesion, input=2683, 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 = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"number node, value=1925","layer":4},{"info":"compute unary expreesion, input=1925, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=3752","layer":3},{"info":"number node, value=5836","layer":4},{"info":"number node, value=1777","layer":4},{"info":"compute binary expreesion, left_input=5836, right_input=1777, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-2282","layer":3},{"info":"compute binary expreesion, left_input=3752, right_input=-2282, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=2940","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2940, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=3694","layer":4},{"info":"number node, value=1056","layer":4},{"info":"compute binary expreesion, left_input=3694, right_input=1056, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3694","layer":3},{"info":"number node, value=1501","layer":4},{"info":"number node, value=1722","layer":4},{"info":"compute binary expreesion, left_input=1501, right_input=1722, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-225125","layer":3},{"info":"compute binary expreesion, left_input=3694, right_input=-225125, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=5701","layer":4},{"info":"number node, value=2216","layer":4},{"info":"compute binary expreesion, left_input=5701, right_input=2216, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=11718","layer":3},{"info":"number node, value=3534","layer":4},{"info":"number node, value=1006","layer":4},{"info":"compute binary expreesion, left_input=3534, right_input=1006, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4540","layer":3},{"info":"compute binary expreesion, left_input=11718, right_input=4540, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=320","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=320, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮3839⪢⊺⇮5824⨽(⨈⫕⊺⇮2683))⨐⩸⫘((⊺⇮1925⇋≉)⨸⪁(⊺⇮5836⋷⊺⇮1777))⋷(⊺⇮3694⋝⋈⪟⊺⇮1056⨵⪆⊺⇮1501⪄⊺⇮1722)⊉≛↸⊺⇮5701⪮%⊝⊺⇮2216⫥∨⫟(⊺⇮3534+⊺⇮1006)=NaN","reverse_text":"NaN=(⊺⇮3839⪢⊺⇮5824⨽(⨈⫕⊺⇮2683))⨐⩸⫘((⊺⇮1925⇋≉)⨸⪁(⊺⇮5836⋷⊺⇮1777))⋷(⊺⇮3694⋝⋈⪟⊺⇮1056⨵⪆⊺⇮1501⪄⊺⇮1722)⊉≛↸⊺⇮5701⪮%⊝⊺⇮2216⫥∨⫟(⊺⇮3534+⊺⇮1006)","cot":[{"info":"⊺⇮3839⪢⊺⇮5824=NaN","layer":3},{"info":"⨈⫕⊺⇮2683=⊺⇮-21","layer":3},{"info":"NaN⨽⊺⇮-21=NaN","layer":2},{"info":"⊺⇮1925⇋≉=⊺⇮3752","layer":3},{"info":"⊺⇮5836⋷⊺⇮1777=⊺⇮-2282","layer":3},{"info":"⊺⇮3752⨸⪁⊺⇮-2282=⊺⇮2940","layer":2},{"info":"NaN⨐⩸⫘⊺⇮2940=NaN","layer":1},{"info":"⊺⇮3694⋝⋈⪟⊺⇮1056=⊺⇮3694","layer":3},{"info":"⊺⇮1501⪄⊺⇮1722=⊺⇮-225125","layer":3},{"info":"⊺⇮3694⨵⪆⊺⇮-225125=⊺⇮160","layer":2},{"info":"⊺⇮5701⪮%⊝⊺⇮2216=⊺⇮11718","layer":3},{"info":"⊺⇮3534+⊺⇮1006=⊺⇮4540","layer":3},{"info":"⊺⇮11718⫥∨⫟⊺⇮4540=NaN","layer":2},{"info":"⊺⇮160⊉≛↸NaN=⊺⇮320","layer":1},{"info":"NaN⋷⊺⇮320=NaN","layer":0}]}
{"id":833,"expression_no_base_symbol":"(+⊝⨔(($7673$∲⫓$2683$)∸))∲⫓(⪲⇎($2324$⫸⊐$2556$))↙(∥⊫$6280$)∀⇚≩($2042$↙$1103$)","expression":"(+⊝⨔((⊺⇮7673∲⫓⊺⇮2683)∸))∲⫓(⪲⇎(⊺⇮2324⫸⊐⊺⇮2556))↙(∥⊫⊺⇮6280)∀⇚≩(⊺⇮2042↙⊺⇮1103)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":51377,"operation_count":10,"complexity_ratio":5137.7,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":7673,"base":10},"right_expr":{"type":"numeric_atoms","value":2683,"base":10}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2324,"base":10},"right_expr":{"type":"numeric_atoms","value":2556,"base":10}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":6280,"base":10}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2042,"base":10},"right_expr":{"type":"numeric_atoms","value":1103,"base":10}}}}},"used_operators":["i8ToyICDmI","DhbWaqg5eL","o20kRiQErp","yyfyN0ffXY","XPYlsWDdGa","mqXw5SEYmG","LRNGc0VcxI","P8v4zCKN1o"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","tmPS8pqC7x","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7673","layer":4},{"info":"number node, value=2683","layer":4},{"info":"compute binary expreesion, left_input=7673, right_input=2683, 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":"compute unary expreesion, input=177, 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=2324","layer":4},{"info":"number node, value=2556","layer":4},{"info":"compute binary expreesion, left_input=2324, right_input=2556, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=10099","layer":3},{"info":"compute unary expreesion, input=10099, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=20198","layer":2},{"info":"number node, value=6280","layer":4},{"info":"compute unary expreesion, input=6280, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=7148","layer":3},{"info":"number node, value=2042","layer":4},{"info":"number node, value=1103","layer":4},{"info":"compute binary expreesion, left_input=2042, right_input=1103, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3309","layer":3},{"info":"compute binary expreesion, left_input=7148, right_input=-3309, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=20198, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1522, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(+⊝⨔((⊺⇮7673∲⫓⊺⇮2683)∸))∲⫓(⪲⇎(⊺⇮2324⫸⊐⊺⇮2556))↙(∥⊫⊺⇮6280)∀⇚≩(⊺⇮2042↙⊺⇮1103)=NaN","reverse_text":"NaN=(+⊝⨔((⊺⇮7673∲⫓⊺⇮2683)∸))∲⫓(⪲⇎(⊺⇮2324⫸⊐⊺⇮2556))↙(∥⊫⊺⇮6280)∀⇚≩(⊺⇮2042↙⊺⇮1103)","cot":[{"info":"⊺⇮7673∲⫓⊺⇮2683=⊺⇮0","layer":3},{"info":"⊺⇮0∸=⊺⇮177","layer":2},{"info":"+⊝⨔⊺⇮177=⊺⇮1522","layer":1},{"info":"⊺⇮2324⫸⊐⊺⇮2556=⊺⇮10099","layer":3},{"info":"⪲⇎⊺⇮10099=⊺⇮20198","layer":2},{"info":"∥⊫⊺⇮6280=⊺⇮7148","layer":3},{"info":"⊺⇮2042↙⊺⇮1103=⊺⇮-3309","layer":3},{"info":"⊺⇮7148∀⇚≩⊺⇮-3309=NaN","layer":2},{"info":"⊺⇮20198↙NaN=NaN","layer":1},{"info":"⊺⇮1522∲⫓NaN=NaN","layer":0}]}
{"id":834,"expression_no_base_symbol":"⨈⫕($1374$⨰$1149$⫸⊐(⨈⫕$3596$))⋳⪒$2576$∀⇚≩$3024$+⇶⊼(≉$5277$)","expression":"⨈⫕(⊺⇮1374⨰⊺⇮1149⫸⊐(⨈⫕⊺⇮3596))⋳⪒⊺⇮2576∀⇚≩⊺⇮3024+⇶⊼(≉⊺⇮5277)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":18844,"operation_count":8,"complexity_ratio":2355.5,"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":1374,"base":10},"right_expr":{"type":"numeric_atoms","value":1149,"base":10}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":3596,"base":10}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2576,"base":10},"right_expr":{"type":"numeric_atoms","value":3024,"base":10}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":5277,"base":10}}}}},"used_operators":["megm06wKyl","12rbrZMWeM","mqXw5SEYmG","eewbuw0ToL","TpPTUOHfaN","LRNGc0VcxI","e1ybzncUwg"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮-21","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1374","layer":4},{"info":"number node, value=1149","layer":4},{"info":"compute binary expreesion, left_input=1374, right_input=1149, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=235","layer":3},{"info":"number node, value=3596","layer":4},{"info":"compute unary expreesion, input=3596, 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=235, right_input=-21, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-209","layer":2},{"info":"number node, value=2576","layer":4},{"info":"number node, value=3024","layer":4},{"info":"compute binary expreesion, left_input=2576, right_input=3024, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=5277","layer":4},{"info":"compute unary expreesion, input=5277, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=5808","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5808, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=-209, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":0}],"base":10,"result_base":10,"text":"⨈⫕(⊺⇮1374⨰⊺⇮1149⫸⊐(⨈⫕⊺⇮3596))⋳⪒⊺⇮2576∀⇚≩⊺⇮3024+⇶⊼(≉⊺⇮5277)=⊺⇮-21","reverse_text":"⊺⇮-21=⨈⫕(⊺⇮1374⨰⊺⇮1149⫸⊐(⨈⫕⊺⇮3596))⋳⪒⊺⇮2576∀⇚≩⊺⇮3024+⇶⊼(≉⊺⇮5277)","cot":[{"info":"⊺⇮1374⨰⊺⇮1149=⊺⇮235","layer":3},{"info":"⨈⫕⊺⇮3596=⊺⇮-21","layer":3},{"info":"⊺⇮235⫸⊐⊺⇮-21=⊺⇮-209","layer":2},{"info":"⊺⇮2576∀⇚≩⊺⇮3024=NaN","layer":3},{"info":"≉⊺⇮5277=⊺⇮5808","layer":3},{"info":"NaN+⇶⊼⊺⇮5808=NaN","layer":2},{"info":"⊺⇮-209⋳⪒NaN=NaN","layer":1},{"info":"⨈⫕NaN=⊺⇮-21","layer":0}]}
{"id":835,"expression_no_base_symbol":"↽≂(($2252$⨸⪁$1808$)≧⫂∧($3461$⨎$1573$))↬(⫓⪴(⫛⫱⨽$6129$))","expression":"↽≂((⊺⇮2252⨸⪁⊺⇮1808)≧⫂∧(⊺⇮3461⨎⊺⇮1573))↬(⫓⪴(⫛⫱⨽⊺⇮6129))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1432,"operation_count":7,"complexity_ratio":204.57142857142858,"tree":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2252,"base":10},"right_expr":{"type":"numeric_atoms","value":1808,"base":10}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3461,"base":10},"right_expr":{"type":"numeric_atoms","value":1573,"base":10}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":6129,"base":10}}}}},"used_operators":["u6S6b8DprG","B5M0gjZbta","Ph9nP6C5qx","g55IO6H4Gj","rJVOvQCfKK","eLxqMNBOBk","DlLNRPXxWL"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9HNa5Wba9A","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=2252","layer":4},{"info":"number node, value=1808","layer":4},{"info":"compute binary expreesion, left_input=2252, right_input=1808, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=8120","layer":3},{"info":"number node, value=3461","layer":4},{"info":"number node, value=1573","layer":4},{"info":"compute binary expreesion, left_input=3461, right_input=1573, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1573","layer":3},{"info":"compute binary expreesion, left_input=8120, right_input=1573, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1100","layer":2},{"info":"number node, value=6129","layer":4},{"info":"compute unary expreesion, input=6129, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=1100, 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 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":10,"result_base":10,"text":"↽≂((⊺⇮2252⨸⪁⊺⇮1808)≧⫂∧(⊺⇮3461⨎⊺⇮1573))↬(⫓⪴(⫛⫱⨽⊺⇮6129))=NaN","reverse_text":"NaN=↽≂((⊺⇮2252⨸⪁⊺⇮1808)≧⫂∧(⊺⇮3461⨎⊺⇮1573))↬(⫓⪴(⫛⫱⨽⊺⇮6129))","cot":[{"info":"⊺⇮2252⨸⪁⊺⇮1808=⊺⇮8120","layer":3},{"info":"⊺⇮3461⨎⊺⇮1573=⊺⇮1573","layer":3},{"info":"⊺⇮8120≧⫂∧⊺⇮1573=⊺⇮1100","layer":2},{"info":"⫛⫱⨽⊺⇮6129=⊺⇮0","layer":3},{"info":"⫓⪴⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮1100↬⊺⇮0=NaN","layer":1},{"info":"↽≂NaN=NaN","layer":0}]}
{"id":836,"expression_no_base_symbol":"(⨈⫕$3112$∑⇟⊟$3737$)+⇶⊼((↣≠⋷$4990$)⫸⊐$3725$⨟⋌⩍$2229$)≭(⪲⇎($6784$*$1924$))⨓(⋗⩬⋾$5859$⪮%⊝$1035$)","expression":"(⨈⫕⊺⇮3112∑⇟⊟⊺⇮3737)+⇶⊼((↣≠⋷⊺⇮4990)⫸⊐⊺⇮3725⨟⋌⩍⊺⇮2229)≭(⪲⇎(⊺⇮6784*⊺⇮1924))⨓(⋗⩬⋾⊺⇮5859⪮%⊝⊺⇮1035)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":38443,"operation_count":12,"complexity_ratio":3203.5833333333335,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3112,"base":10},"right_expr":{"type":"numeric_atoms","value":3737,"base":10}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":4990,"base":10}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3725,"base":10},"right_expr":{"type":"numeric_atoms","value":2229,"base":10}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":6784,"base":10},"right_expr":{"type":"numeric_atoms","value":1924,"base":10}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":5859,"base":10},"right_expr":{"type":"numeric_atoms","value":1035,"base":10}}}}},"used_operators":["rxpJgHHUmx","TpPTUOHfaN","megm06wKyl","U7g4x0WXJJ","mqXw5SEYmG","Asc51vEJeQ","rGHVDoGpnC","3ViojmjbAp","XPYlsWDdGa","9HNa5Wba9A","DpFCA1CohY","IWmyXbctLI"],"dependent_operators":["AHs5Up7iyr","AHs5Up7iyr","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","XhwjNDsVaA","AHs5Up7iyr","Tcnh7f0tEr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3112","layer":4},{"info":"number node, value=3737","layer":4},{"info":"compute binary expreesion, left_input=3112, right_input=3737, 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 = 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=4990","layer":4},{"info":"compute unary expreesion, input=4990, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=3725","layer":4},{"info":"number node, value=2229","layer":4},{"info":"compute binary expreesion, left_input=3725, right_input=2229, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = 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=-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":1},{"info":"number node, value=6784","layer":4},{"info":"number node, value=1924","layer":4},{"info":"compute binary expreesion, left_input=6784, right_input=1924, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=13052416","layer":3},{"info":"compute unary expreesion, input=13052416, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=26104832","layer":2},{"info":"number node, value=5859","layer":4},{"info":"number node, value=1035","layer":4},{"info":"compute binary expreesion, left_input=5859, right_input=1035, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=12034","layer":3},{"info":"compute unary expreesion, input=12034, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-36102","layer":2},{"info":"compute binary expreesion, left_input=26104832, right_input=-36102, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=36099","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=36099, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":10,"result_base":10,"text":"(⨈⫕⊺⇮3112∑⇟⊟⊺⇮3737)+⇶⊼((↣≠⋷⊺⇮4990)⫸⊐⊺⇮3725⨟⋌⩍⊺⇮2229)≭(⪲⇎(⊺⇮6784*⊺⇮1924))⨓(⋗⩬⋾⊺⇮5859⪮%⊝⊺⇮1035)=NaN","reverse_text":"NaN=(⨈⫕⊺⇮3112∑⇟⊟⊺⇮3737)+⇶⊼((↣≠⋷⊺⇮4990)⫸⊐⊺⇮3725⨟⋌⩍⊺⇮2229)≭(⪲⇎(⊺⇮6784*⊺⇮1924))⨓(⋗⩬⋾⊺⇮5859⪮%⊝⊺⇮1035)","cot":[{"info":"⊺⇮3112∑⇟⊟⊺⇮3737=NaN","layer":3},{"info":"⨈⫕NaN=⊺⇮-21","layer":2},{"info":"↣≠⋷⊺⇮4990=NaN","layer":3},{"info":"⊺⇮3725⨟⋌⩍⊺⇮2229=NaN","layer":3},{"info":"NaN⫸⊐NaN=NaN","layer":2},{"info":"⊺⇮-21+⇶⊼NaN=NaN","layer":1},{"info":"⊺⇮6784*⊺⇮1924=⊺⇮13052416","layer":3},{"info":"⪲⇎⊺⇮13052416=⊺⇮26104832","layer":2},{"info":"⊺⇮5859⪮%⊝⊺⇮1035=⊺⇮12034","layer":3},{"info":"⋗⩬⋾⊺⇮12034=⊺⇮-36102","layer":2},{"info":"⊺⇮26104832⨓⊺⇮-36102=⊺⇮36099","layer":1},{"info":"NaN≭⊺⇮36099=NaN","layer":0}]}
{"id":837,"expression_no_base_symbol":"≤/(⊙↵-($1333$⋓$1567$))⋥≓≎(($6147$⪒$1901$)∧)","expression":"≤/(⊙↵-(⊺⇮1333⋓⊺⇮1567))⋥≓≎((⊺⇮6147⪒⊺⇮1901)∧)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":56,"operation_count":6,"complexity_ratio":9.333333333333334,"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":1333,"base":10},"right_expr":{"type":"numeric_atoms","value":1567,"base":10}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":6147,"base":10},"right_expr":{"type":"numeric_atoms","value":1901,"base":10}}}}},"used_operators":["eLAdDNolq6","Qy55tPpLXF","oWn0xqSxBt","T2fj7uvVaJ","z63VuFQld9","f6k1SAg4EE"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮451","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1333","layer":4},{"info":"number node, value=1567","layer":4},{"info":"compute binary expreesion, left_input=1333, right_input=1567, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":2},{"info":"number node, value=6147","layer":4},{"info":"number node, value=1901","layer":4},{"info":"compute binary expreesion, left_input=6147, right_input=1901, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8048","layer":3},{"info":"compute unary expreesion, input=-8048, 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=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":1},{"info":"compute unary expreesion, input=33, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=451","layer":0}],"base":10,"result_base":10,"text":"≤/(⊙↵-(⊺⇮1333⋓⊺⇮1567))⋥≓≎((⊺⇮6147⪒⊺⇮1901)∧)=⊺⇮451","reverse_text":"⊺⇮451=≤/(⊙↵-(⊺⇮1333⋓⊺⇮1567))⋥≓≎((⊺⇮6147⪒⊺⇮1901)∧)","cot":[{"info":"⊺⇮1333⋓⊺⇮1567=⊺⇮0","layer":3},{"info":"⊙↵-⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮6147⪒⊺⇮1901=⊺⇮-8048","layer":3},{"info":"⊺⇮-8048∧=⊺⇮0","layer":2},{"info":"⊺⇮0⋥≓≎⊺⇮0=⊺⇮33","layer":1},{"info":"≤/⊺⇮33=⊺⇮451","layer":0}]}
{"id":838,"expression_no_base_symbol":"((⋗⩬⋾($4977$⊭↱$5855$))⊉≛↸($2001$⋥≓≎$1057$)⨎($1812$≦≮≮))⋥≓≎($2110$≎⊠⪸$5177$)⨰($2019$⋳⪒$1464$)⩚⊴⇥($6646$⫥∨⫟$2145$)⪮%⊝($4702$%$8480$)","expression":"((⋗⩬⋾(⊺⇮4977⊭↱⊺⇮5855))⊉≛↸(⊺⇮2001⋥≓≎⊺⇮1057)⨎(⊺⇮1812≦≮≮))⋥≓≎(⊺⇮2110≎⊠⪸⊺⇮5177)⨰(⊺⇮2019⋳⪒⊺⇮1464)⩚⊴⇥(⊺⇮6646⫥∨⫟⊺⇮2145)⪮%⊝(⊺⇮4702%⊺⇮8480)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":475,"operation_count":14,"complexity_ratio":33.92857142857143,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4977,"base":10},"right_expr":{"type":"numeric_atoms","value":5855,"base":10}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2001,"base":10},"right_expr":{"type":"numeric_atoms","value":1057,"base":10}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1812,"base":10}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2110,"base":10},"right_expr":{"type":"numeric_atoms","value":5177,"base":10}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2019,"base":10},"right_expr":{"type":"numeric_atoms","value":1464,"base":10}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":6646,"base":10},"right_expr":{"type":"numeric_atoms","value":2145,"base":10}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4702,"base":10},"right_expr":{"type":"numeric_atoms","value":8480,"base":10}}}}},"used_operators":["Qy55tPpLXF","DZ8iAZOCBD","DpFCA1CohY","COABgblf1C","rJVOvQCfKK","D4vGDi5EA2","NTOWxs364D","eewbuw0ToL","bJkvcejdHO","12rbrZMWeM","IWmyXbctLI","KYD54nUTWz","k8jYdgA6NY"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4977","layer":4},{"info":"number node, value=5855","layer":4},{"info":"compute binary expreesion, left_input=4977, right_input=5855, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=1761","layer":3},{"info":"compute unary expreesion, input=1761, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-5283","layer":2},{"info":"number node, value=2001","layer":4},{"info":"number node, value=1057","layer":4},{"info":"compute binary expreesion, left_input=2001, right_input=1057, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=146","layer":3},{"info":"number node, value=1812","layer":4},{"info":"compute unary expreesion, input=1812, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-5436","layer":3},{"info":"compute binary expreesion, left_input=146, right_input=-5436, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-5436","layer":2},{"info":"compute binary expreesion, left_input=-5283, right_input=-5436, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5436","layer":1},{"info":"number node, value=2110","layer":4},{"info":"number node, value=5177","layer":4},{"info":"compute binary expreesion, left_input=2110, right_input=5177, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=546017","layer":3},{"info":"number node, value=2019","layer":4},{"info":"number node, value=1464","layer":4},{"info":"compute binary expreesion, left_input=2019, right_input=1464, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2287","layer":3},{"info":"compute binary expreesion, left_input=546017, right_input=2287, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=543740","layer":2},{"info":"number node, value=6646","layer":4},{"info":"number node, value=2145","layer":4},{"info":"compute binary expreesion, left_input=6646, right_input=2145, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=4702","layer":4},{"info":"number node, value=8480","layer":4},{"info":"compute binary expreesion, left_input=4702, right_input=8480, op_id = k8jYdgA6NY binary_op_definition= 'None', output=4702","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4702, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=543740, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=5436, 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":10,"result_base":10,"text":"((⋗⩬⋾(⊺⇮4977⊭↱⊺⇮5855))⊉≛↸(⊺⇮2001⋥≓≎⊺⇮1057)⨎(⊺⇮1812≦≮≮))⋥≓≎(⊺⇮2110≎⊠⪸⊺⇮5177)⨰(⊺⇮2019⋳⪒⊺⇮1464)⩚⊴⇥(⊺⇮6646⫥∨⫟⊺⇮2145)⪮%⊝(⊺⇮4702%⊺⇮8480)=NaN","reverse_text":"NaN=((⋗⩬⋾(⊺⇮4977⊭↱⊺⇮5855))⊉≛↸(⊺⇮2001⋥≓≎⊺⇮1057)⨎(⊺⇮1812≦≮≮))⋥≓≎(⊺⇮2110≎⊠⪸⊺⇮5177)⨰(⊺⇮2019⋳⪒⊺⇮1464)⩚⊴⇥(⊺⇮6646⫥∨⫟⊺⇮2145)⪮%⊝(⊺⇮4702%⊺⇮8480)","cot":[{"info":"⊺⇮4977⊭↱⊺⇮5855=⊺⇮1761","layer":3},{"info":"⋗⩬⋾⊺⇮1761=⊺⇮-5283","layer":2},{"info":"⊺⇮2001⋥≓≎⊺⇮1057=⊺⇮146","layer":3},{"info":"⊺⇮1812≦≮≮=⊺⇮-5436","layer":3},{"info":"⊺⇮146⨎⊺⇮-5436=⊺⇮-5436","layer":2},{"info":"⊺⇮-5283⊉≛↸⊺⇮-5436=⊺⇮5436","layer":1},{"info":"⊺⇮2110≎⊠⪸⊺⇮5177=⊺⇮546017","layer":3},{"info":"⊺⇮2019⋳⪒⊺⇮1464=⊺⇮2287","layer":3},{"info":"⊺⇮546017⨰⊺⇮2287=⊺⇮543740","layer":2},{"info":"⊺⇮6646⫥∨⫟⊺⇮2145=NaN","layer":3},{"info":"⊺⇮4702%⊺⇮8480=⊺⇮4702","layer":3},{"info":"NaN⪮%⊝⊺⇮4702=NaN","layer":2},{"info":"⊺⇮543740⩚⊴⇥NaN=NaN","layer":1},{"info":"⊺⇮5436⋥≓≎NaN=NaN","layer":0}]}
{"id":839,"expression_no_base_symbol":"⨰⫟⨤(($1979$⨵⪆$1342$)⋥≓≎(≤/$7022$)-(($7020$⋷$4729$)⊪))","expression":"⨰⫟⨤((⊺⇮1979⨵⪆⊺⇮1342)⋥≓≎(≤/⊺⇮7022)-((⊺⇮7020⋷⊺⇮4729)⊪))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":53747,"operation_count":7,"complexity_ratio":7678.142857142857,"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":1979,"base":10},"right_expr":{"type":"numeric_atoms","value":1342,"base":10}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":7022,"base":10}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":7020,"base":10},"right_expr":{"type":"numeric_atoms","value":4729,"base":10}}}}},"used_operators":["Tw270M8GLb","rysDP5nf3Z","Qy55tPpLXF","2DQ55sFlQl","eLAdDNolq6","zVYPLywUTj","23Mk6UjR3U"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1979","layer":4},{"info":"number node, value=1342","layer":4},{"info":"compute binary expreesion, left_input=1979, right_input=1342, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=7022","layer":4},{"info":"compute unary expreesion, input=7022, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-6538","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-6538, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-13203","layer":2},{"info":"number node, value=7020","layer":4},{"info":"number node, value=4729","layer":4},{"info":"compute binary expreesion, left_input=7020, right_input=4729, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2438","layer":3},{"info":"compute unary expreesion, input=2438, 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=-13203, right_input=0, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-13203","layer":1},{"info":"compute unary expreesion, input=-13203, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⨰⫟⨤((⊺⇮1979⨵⪆⊺⇮1342)⋥≓≎(≤/⊺⇮7022)-((⊺⇮7020⋷⊺⇮4729)⊪))=NaN","reverse_text":"NaN=⨰⫟⨤((⊺⇮1979⨵⪆⊺⇮1342)⋥≓≎(≤/⊺⇮7022)-((⊺⇮7020⋷⊺⇮4729)⊪))","cot":[{"info":"⊺⇮1979⨵⪆⊺⇮1342=⊺⇮160","layer":3},{"info":"≤/⊺⇮7022=⊺⇮-6538","layer":3},{"info":"⊺⇮160⋥≓≎⊺⇮-6538=⊺⇮-13203","layer":2},{"info":"⊺⇮7020⋷⊺⇮4729=⊺⇮2438","layer":3},{"info":"⊺⇮2438⊪=⊺⇮0","layer":2},{"info":"⊺⇮-13203-⊺⇮0=⊺⇮-13203","layer":1},{"info":"⨰⫟⨤⊺⇮-13203=NaN","layer":0}]}
{"id":840,"expression_no_base_symbol":"((∥⊫(⋗⩬⋾$1502$))⨵⪆(↩$1442$⋥≓≎$5394$))⪮%⊝(($5924$⨐⩸⫘$4713$)⫥∨⫟(⨰⫟⨤$8574$))⊴($1057$⫥∨⫟$2625$⋷$2790$-$1143$)","expression":"((∥⊫(⋗⩬⋾⊺⇮1502))⨵⪆(↩⊺⇮1442⋥≓≎⊺⇮5394))⪮%⊝((⊺⇮5924⨐⩸⫘⊺⇮4713)⫥∨⫟(⨰⫟⨤⊺⇮8574))⊴(⊺⇮1057⫥∨⫟⊺⇮2625⋷⊺⇮2790-⊺⇮1143)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":33811,"operation_count":13,"complexity_ratio":2600.846153846154,"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":1502,"base":10}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1442,"base":10},"right_expr":{"type":"numeric_atoms","value":5394,"base":10}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":5924,"base":10},"right_expr":{"type":"numeric_atoms","value":4713,"base":10}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":8574,"base":10}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1057,"base":10},"right_expr":{"type":"numeric_atoms","value":2625,"base":10}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2790,"base":10},"right_expr":{"type":"numeric_atoms","value":1143,"base":10}}}}},"used_operators":["IWmyXbctLI","2DQ55sFlQl","P8v4zCKN1o","DpFCA1CohY","jLgFTUHLKL","Qy55tPpLXF","Nsiff2A1zJ","KYD54nUTWz","fu6greOZ01","Tw270M8GLb","23Mk6UjR3U","rysDP5nf3Z"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","8HhzD0ZcuI","rGHVDoGpnC","3ViojmjbAp","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1502","layer":4},{"info":"compute unary expreesion, input=1502, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-4506","layer":3},{"info":"compute unary expreesion, input=-4506, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=-55","layer":2},{"info":"number node, value=1442","layer":4},{"info":"number node, value=5394","layer":4},{"info":"compute binary expreesion, left_input=1442, right_input=5394, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=9379","layer":3},{"info":"compute unary expreesion, input=9379, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-72252","layer":2},{"info":"compute binary expreesion, left_input=-55, right_input=-72252, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=5924","layer":4},{"info":"number node, value=4713","layer":4},{"info":"compute binary expreesion, left_input=5924, right_input=4713, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=8574","layer":4},{"info":"compute unary expreesion, input=8574, 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 = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1057","layer":4},{"info":"number node, value=2625","layer":4},{"info":"compute binary expreesion, left_input=1057, right_input=2625, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=2790","layer":4},{"info":"number node, value=1143","layer":4},{"info":"compute binary expreesion, left_input=2790, right_input=1143, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1647","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1647, 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 = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((∥⊫(⋗⩬⋾⊺⇮1502))⨵⪆(↩⊺⇮1442⋥≓≎⊺⇮5394))⪮%⊝((⊺⇮5924⨐⩸⫘⊺⇮4713)⫥∨⫟(⨰⫟⨤⊺⇮8574))⊴(⊺⇮1057⫥∨⫟⊺⇮2625⋷⊺⇮2790-⊺⇮1143)=NaN","reverse_text":"NaN=((∥⊫(⋗⩬⋾⊺⇮1502))⨵⪆(↩⊺⇮1442⋥≓≎⊺⇮5394))⪮%⊝((⊺⇮5924⨐⩸⫘⊺⇮4713)⫥∨⫟(⨰⫟⨤⊺⇮8574))⊴(⊺⇮1057⫥∨⫟⊺⇮2625⋷⊺⇮2790-⊺⇮1143)","cot":[{"info":"⋗⩬⋾⊺⇮1502=⊺⇮-4506","layer":3},{"info":"∥⊫⊺⇮-4506=⊺⇮-55","layer":2},{"info":"⊺⇮1442⋥≓≎⊺⇮5394=⊺⇮9379","layer":3},{"info":"↩⊺⇮9379=⊺⇮-72252","layer":2},{"info":"⊺⇮-55⨵⪆⊺⇮-72252=⊺⇮160","layer":1},{"info":"⊺⇮5924⨐⩸⫘⊺⇮4713=NaN","layer":3},{"info":"⨰⫟⨤⊺⇮8574=NaN","layer":3},{"info":"NaN⫥∨⫟NaN=NaN","layer":2},{"info":"⊺⇮1057⫥∨⫟⊺⇮2625=NaN","layer":3},{"info":"⊺⇮2790-⊺⇮1143=⊺⇮1647","layer":3},{"info":"NaN⋷⊺⇮1647=NaN","layer":2},{"info":"NaN⊴NaN=NaN","layer":1},{"info":"⊺⇮160⪮%⊝NaN=NaN","layer":0}]}
{"id":841,"expression_no_base_symbol":"(↩$5196$⨪↰⇹$1155$↺$1169$⨰$2283$)⫥∨⫟($2731$∀⇚≩$2527$+⇶⊼($1540$⊭↱$2590$))⊴(($2751$∀⇚≩$2208$)∼($6141$⨓$5224$))","expression":"(↩⊺⇮5196⨪↰⇹⊺⇮1155↺⊺⇮1169⨰⊺⇮2283)⫥∨⫟(⊺⇮2731∀⇚≩⊺⇮2527+⇶⊼(⊺⇮1540⊭↱⊺⇮2590))⊴((⊺⇮2751∀⇚≩⊺⇮2208)∼(⊺⇮6141⨓⊺⇮5224))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":48999,"operation_count":12,"complexity_ratio":4083.25,"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":5196,"base":10},"right_expr":{"type":"numeric_atoms","value":1155,"base":10}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1169,"base":10},"right_expr":{"type":"numeric_atoms","value":2283,"base":10}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2731,"base":10},"right_expr":{"type":"numeric_atoms","value":2527,"base":10}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1540,"base":10},"right_expr":{"type":"numeric_atoms","value":2590,"base":10}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2751,"base":10},"right_expr":{"type":"numeric_atoms","value":2208,"base":10}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":6141,"base":10},"right_expr":{"type":"numeric_atoms","value":5224,"base":10}}}}},"used_operators":["KYD54nUTWz","jLgFTUHLKL","7j4O788W3g","tmPS8pqC7x","eewbuw0ToL","Nsiff2A1zJ","TpPTUOHfaN","LRNGc0VcxI","COABgblf1C","DyGG3AbaNP","3ViojmjbAp"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","AHs5Up7iyr","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5196","layer":4},{"info":"number node, value=1155","layer":4},{"info":"compute binary expreesion, left_input=5196, right_input=1155, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=5196","layer":3},{"info":"number node, value=1169","layer":4},{"info":"number node, value=2283","layer":4},{"info":"compute binary expreesion, left_input=1169, right_input=2283, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1104","layer":3},{"info":"compute binary expreesion, left_input=5196, right_input=-1104, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-1104","layer":2},{"info":"compute unary expreesion, input=-1104, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=7036","layer":1},{"info":"number node, value=2731","layer":4},{"info":"number node, value=2527","layer":4},{"info":"compute binary expreesion, left_input=2731, right_input=2527, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1540","layer":4},{"info":"number node, value=2590","layer":4},{"info":"compute binary expreesion, left_input=1540, right_input=2590, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=2105","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2105, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=2751","layer":4},{"info":"number node, value=2208","layer":4},{"info":"compute binary expreesion, left_input=2751, right_input=2208, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=6141","layer":4},{"info":"number node, value=5224","layer":4},{"info":"compute binary expreesion, left_input=6141, right_input=5224, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5227","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5227, 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 = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=7036, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(↩⊺⇮5196⨪↰⇹⊺⇮1155↺⊺⇮1169⨰⊺⇮2283)⫥∨⫟(⊺⇮2731∀⇚≩⊺⇮2527+⇶⊼(⊺⇮1540⊭↱⊺⇮2590))⊴((⊺⇮2751∀⇚≩⊺⇮2208)∼(⊺⇮6141⨓⊺⇮5224))=NaN","reverse_text":"NaN=(↩⊺⇮5196⨪↰⇹⊺⇮1155↺⊺⇮1169⨰⊺⇮2283)⫥∨⫟(⊺⇮2731∀⇚≩⊺⇮2527+⇶⊼(⊺⇮1540⊭↱⊺⇮2590))⊴((⊺⇮2751∀⇚≩⊺⇮2208)∼(⊺⇮6141⨓⊺⇮5224))","cot":[{"info":"⊺⇮5196⨪↰⇹⊺⇮1155=⊺⇮5196","layer":3},{"info":"⊺⇮1169⨰⊺⇮2283=⊺⇮-1104","layer":3},{"info":"⊺⇮5196↺⊺⇮-1104=⊺⇮-1104","layer":2},{"info":"↩⊺⇮-1104=⊺⇮7036","layer":1},{"info":"⊺⇮2731∀⇚≩⊺⇮2527=NaN","layer":3},{"info":"⊺⇮1540⊭↱⊺⇮2590=⊺⇮2105","layer":3},{"info":"NaN+⇶⊼⊺⇮2105=NaN","layer":2},{"info":"⊺⇮2751∀⇚≩⊺⇮2208=NaN","layer":3},{"info":"⊺⇮6141⨓⊺⇮5224=⊺⇮-5227","layer":3},{"info":"NaN∼⊺⇮-5227=NaN","layer":2},{"info":"NaN⊴NaN=NaN","layer":1},{"info":"⊺⇮7036⫥∨⫟NaN=NaN","layer":0}]}
{"id":842,"expression_no_base_symbol":"(↯⪼($1258$⪘⫢$3446$))↺(($4555$⋫)⨁⊸⫻)⨳⩥⨓(⪲⇎(↽≂$1045$)≹⇙⪍($2294$∲⫓$2732$))","expression":"(↯⪼(⊺⇮1258⪘⫢⊺⇮3446))↺((⊺⇮4555⋫)⨁⊸⫻)⨳⩥⨓(⪲⇎(↽≂⊺⇮1045)≹⇙⪍(⊺⇮2294∲⫓⊺⇮2732))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4615,"operation_count":10,"complexity_ratio":461.5,"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":1258,"base":10},"right_expr":{"type":"numeric_atoms","value":3446,"base":10}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":4555,"base":10}}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1045,"base":10}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2294,"base":10},"right_expr":{"type":"numeric_atoms","value":2732,"base":10}}}}},"used_operators":["nCS4ZIUYfx","7j4O788W3g","8jW3W4yZS5","oacrs7FA3X","glklzrTFfD","JL8yIekQnl","XPYlsWDdGa","AHs5Up7iyr","u6S6b8DprG","i8ToyICDmI"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","tmPS8pqC7x","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮-8735","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1258","layer":4},{"info":"number node, value=3446","layer":4},{"info":"compute binary expreesion, left_input=1258, right_input=3446, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2392","layer":3},{"info":"compute unary expreesion, input=2392, 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=4555","layer":4},{"info":"compute unary expreesion, input=4555, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=4555","layer":3},{"info":"compute unary expreesion, input=4555, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=4555","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=4555, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4555","layer":1},{"info":"number node, value=1045","layer":4},{"info":"compute unary expreesion, input=1045, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2090","layer":3},{"info":"number node, value=2294","layer":4},{"info":"number node, value=2732","layer":4},{"info":"compute binary expreesion, left_input=2294, right_input=2732, 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=-2090, 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=-2090","layer":2},{"info":"compute unary expreesion, input=-2090, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-4180","layer":1},{"info":"compute binary expreesion, left_input=4555, right_input=-4180, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-8735","layer":0}],"base":10,"result_base":10,"text":"(↯⪼(⊺⇮1258⪘⫢⊺⇮3446))↺((⊺⇮4555⋫)⨁⊸⫻)⨳⩥⨓(⪲⇎(↽≂⊺⇮1045)≹⇙⪍(⊺⇮2294∲⫓⊺⇮2732))=⊺⇮-8735","reverse_text":"⊺⇮-8735=(↯⪼(⊺⇮1258⪘⫢⊺⇮3446))↺((⊺⇮4555⋫)⨁⊸⫻)⨳⩥⨓(⪲⇎(↽≂⊺⇮1045)≹⇙⪍(⊺⇮2294∲⫓⊺⇮2732))","cot":[{"info":"⊺⇮1258⪘⫢⊺⇮3446=⊺⇮2392","layer":3},{"info":"↯⪼⊺⇮2392=⊺⇮-21","layer":2},{"info":"⊺⇮4555⋫=⊺⇮4555","layer":3},{"info":"⊺⇮4555⨁⊸⫻=⊺⇮4555","layer":2},{"info":"⊺⇮-21↺⊺⇮4555=⊺⇮4555","layer":1},{"info":"↽≂⊺⇮1045=⊺⇮-2090","layer":3},{"info":"⊺⇮2294∲⫓⊺⇮2732=⊺⇮0","layer":3},{"info":"⊺⇮-2090≹⇙⪍⊺⇮0=⊺⇮-2090","layer":2},{"info":"⪲⇎⊺⇮-2090=⊺⇮-4180","layer":1},{"info":"⊺⇮4555⨳⩥⨓⊺⇮-4180=⊺⇮-8735","layer":0}]}
{"id":843,"expression_no_base_symbol":"((($3477$⋷$1022$)∲⫓(∂$1069$))⊘)⋝⋈⪟(((⫛⫱⨽$1286$)⨐⩸⫘(⨈⫕$3405$))≧⫂∧($1421$∼$1514$+(↣≠⋷$2654$)))","expression":"(((⊺⇮3477⋷⊺⇮1022)∲⫓(∂⊺⇮1069))⊘)⋝⋈⪟(((⫛⫱⨽⊺⇮1286)⨐⩸⫘(⨈⫕⊺⇮3405))≧⫂∧(⊺⇮1421∼⊺⇮1514+(↣≠⋷⊺⇮2654)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2439,"operation_count":12,"complexity_ratio":203.25,"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":3477,"base":10},"right_expr":{"type":"numeric_atoms","value":1022,"base":10}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1069,"base":10}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1286,"base":10}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":3405,"base":10}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1421,"base":10},"right_expr":{"type":"numeric_atoms","value":1514,"base":10}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2654,"base":10}}}}},"used_operators":["2DDjHMKMc0","gu96TGCTMs","i8ToyICDmI","23Mk6UjR3U","Uaa54Peajs","Ph9nP6C5qx","fu6greOZ01","DlLNRPXxWL","megm06wKyl","W4YGzv6Whe","DyGG3AbaNP","Asc51vEJeQ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","rGHVDoGpnC","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3477","layer":4},{"info":"number node, value=1022","layer":4},{"info":"compute binary expreesion, left_input=3477, right_input=1022, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-1433","layer":3},{"info":"number node, value=1069","layer":4},{"info":"compute unary expreesion, input=1069, 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=-1433, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 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=1286","layer":4},{"info":"compute unary expreesion, input=1286, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=3405","layer":4},{"info":"compute unary expreesion, input=3405, 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 = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(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=1421","layer":4},{"info":"number node, value=1514","layer":4},{"info":"compute binary expreesion, left_input=1421, right_input=1514, 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=2654","layer":4},{"info":"compute unary expreesion, input=2654, 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 = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=24, 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 = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮3477⋷⊺⇮1022)∲⫓(∂⊺⇮1069))⊘)⋝⋈⪟(((⫛⫱⨽⊺⇮1286)⨐⩸⫘(⨈⫕⊺⇮3405))≧⫂∧(⊺⇮1421∼⊺⇮1514+(↣≠⋷⊺⇮2654)))=NaN","reverse_text":"NaN=(((⊺⇮3477⋷⊺⇮1022)∲⫓(∂⊺⇮1069))⊘)⋝⋈⪟(((⫛⫱⨽⊺⇮1286)⨐⩸⫘(⨈⫕⊺⇮3405))≧⫂∧(⊺⇮1421∼⊺⇮1514+(↣≠⋷⊺⇮2654)))","cot":[{"info":"⊺⇮3477⋷⊺⇮1022=⊺⇮-1433","layer":3},{"info":"∂⊺⇮1069=NaN","layer":3},{"info":"⊺⇮-1433∲⫓NaN=NaN","layer":2},{"info":"NaN⊘=NaN","layer":1},{"info":"⫛⫱⨽⊺⇮1286=⊺⇮0","layer":3},{"info":"⨈⫕⊺⇮3405=⊺⇮-21","layer":3},{"info":"⊺⇮0⨐⩸⫘⊺⇮-21=⊺⇮24","layer":2},{"info":"⊺⇮1421∼⊺⇮1514=NaN","layer":3},{"info":"↣≠⋷⊺⇮2654=NaN","layer":3},{"info":"NaN+NaN=NaN","layer":2},{"info":"⊺⇮24≧⫂∧NaN=NaN","layer":1},{"info":"NaN⋝⋈⪟NaN=NaN","layer":0}]}
{"id":844,"expression_no_base_symbol":"($1432$↬$1763$*$6865$⪢$2546$)⨳⩥⨓($2044$∑⇟⊟$5052$⊘)↙($1830$⪢$1890$⨪↰⇹(⊙↵-$1268$))⇷(⨵≀≌$4028$⨰$6129$)","expression":"(⊺⇮1432↬⊺⇮1763*⊺⇮6865⪢⊺⇮2546)⨳⩥⨓(⊺⇮2044∑⇟⊟⊺⇮5052⊘)↙(⊺⇮1830⪢⊺⇮1890⨪↰⇹(⊙↵-⊺⇮1268))⇷(⨵≀≌⊺⇮4028⨰⊺⇮6129)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":10963,"operation_count":13,"complexity_ratio":843.3076923076923,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1432,"base":10},"right_expr":{"type":"numeric_atoms","value":1763,"base":10}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":6865,"base":10},"right_expr":{"type":"numeric_atoms","value":2546,"base":10}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2044,"base":10},"right_expr":{"type":"numeric_atoms","value":5052,"base":10}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1830,"base":10},"right_expr":{"type":"numeric_atoms","value":1890,"base":10}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1268,"base":10}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4028,"base":10},"right_expr":{"type":"numeric_atoms","value":6129,"base":10}}}}},"used_operators":["yyfyN0ffXY","nCS4ZIUYfx","9HNa5Wba9A","B5M0gjZbta","dWAJyo7jo9","gu96TGCTMs","U7g4x0WXJJ","mp7IySMOzn","tmPS8pqC7x","oWn0xqSxBt","srAu1WTS94","eewbuw0ToL"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rGHVDoGpnC","k8jYdgA6NY","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rJVOvQCfKK","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1432","layer":4},{"info":"number node, value=1763","layer":4},{"info":"compute binary expreesion, left_input=1432, right_input=1763, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=6865","layer":4},{"info":"number node, value=2546","layer":4},{"info":"compute binary expreesion, left_input=6865, right_input=2546, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=2044","layer":4},{"info":"number node, value=5052","layer":4},{"info":"compute binary expreesion, left_input=2044, right_input=5052, 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 = 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 = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"number node, value=1830","layer":4},{"info":"number node, value=1890","layer":4},{"info":"compute binary expreesion, left_input=1830, right_input=1890, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1268","layer":4},{"info":"compute unary expreesion, input=1268, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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=4028","layer":4},{"info":"number node, value=6129","layer":4},{"info":"compute binary expreesion, left_input=4028, right_input=6129, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2091","layer":3},{"info":"compute unary expreesion, input=-2091, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=4372281","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4372281, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=8744562","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=8744562, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1432↬⊺⇮1763*⊺⇮6865⪢⊺⇮2546)⨳⩥⨓(⊺⇮2044∑⇟⊟⊺⇮5052⊘)↙(⊺⇮1830⪢⊺⇮1890⨪↰⇹(⊙↵-⊺⇮1268))⇷(⨵≀≌⊺⇮4028⨰⊺⇮6129)=NaN","reverse_text":"NaN=(⊺⇮1432↬⊺⇮1763*⊺⇮6865⪢⊺⇮2546)⨳⩥⨓(⊺⇮2044∑⇟⊟⊺⇮5052⊘)↙(⊺⇮1830⪢⊺⇮1890⨪↰⇹(⊙↵-⊺⇮1268))⇷(⨵≀≌⊺⇮4028⨰⊺⇮6129)","cot":[{"info":"⊺⇮1432↬⊺⇮1763=NaN","layer":3},{"info":"⊺⇮6865⪢⊺⇮2546=NaN","layer":3},{"info":"NaN*NaN=NaN","layer":2},{"info":"⊺⇮2044∑⇟⊟⊺⇮5052=NaN","layer":3},{"info":"NaN⊘=NaN","layer":2},{"info":"NaN⨳⩥⨓NaN=NaN","layer":1},{"info":"⊺⇮1830⪢⊺⇮1890=NaN","layer":3},{"info":"⊙↵-⊺⇮1268=⊺⇮-1","layer":3},{"info":"NaN⨪↰⇹⊺⇮-1=NaN","layer":2},{"info":"⊺⇮4028⨰⊺⇮6129=⊺⇮-2091","layer":3},{"info":"⨵≀≌⊺⇮-2091=⊺⇮4372281","layer":2},{"info":"NaN⇷⊺⇮4372281=⊺⇮8744562","layer":1},{"info":"NaN↙⊺⇮8744562=NaN","layer":0}]}
{"id":845,"expression_no_base_symbol":"(($7660$*$2256$)⨳⩥⨓$5632$⪮%⊝$1557$⇼⇔∾(($2849$↺$7246$)⨁⊸⫻))⨽(($6057$⪮%⊝$6933$⫡⨏$7793$⋓$1051$)↛⩡⫤)","expression":"((⊺⇮7660*⊺⇮2256)⨳⩥⨓⊺⇮5632⪮%⊝⊺⇮1557⇼⇔∾((⊺⇮2849↺⊺⇮7246)⨁⊸⫻))⨽((⊺⇮6057⪮%⊝⊺⇮6933⫡⨏⊺⇮7793⋓⊺⇮1051)↛⩡⫤)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":17467870,"operation_count":11,"complexity_ratio":1587988.1818181819,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":7660,"base":10},"right_expr":{"type":"numeric_atoms","value":2256,"base":10}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":5632,"base":10},"right_expr":{"type":"numeric_atoms","value":1557,"base":10}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2849,"base":10},"right_expr":{"type":"numeric_atoms","value":7246,"base":10}}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":6057,"base":10},"right_expr":{"type":"numeric_atoms","value":6933,"base":10}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":7793,"base":10},"right_expr":{"type":"numeric_atoms","value":1051,"base":10}}}}},"used_operators":["8HhzD0ZcuI","tifHPKVTfV","nCS4ZIUYfx","9HNa5Wba9A","IWmyXbctLI","glklzrTFfD","7j4O788W3g","FU0Cs4j7VP","QMFrweE19q","T2fj7uvVaJ"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"-Inf","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7660","layer":4},{"info":"number node, value=2256","layer":4},{"info":"compute binary expreesion, left_input=7660, right_input=2256, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=17280960","layer":3},{"info":"number node, value=5632","layer":4},{"info":"number node, value=1557","layer":4},{"info":"compute binary expreesion, left_input=5632, right_input=1557, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=11580","layer":3},{"info":"compute binary expreesion, left_input=17280960, right_input=11580, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-17269380","layer":2},{"info":"number node, value=2849","layer":4},{"info":"number node, value=7246","layer":4},{"info":"compute binary expreesion, left_input=2849, right_input=7246, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=7246","layer":3},{"info":"compute unary expreesion, input=7246, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=7246","layer":2},{"info":"compute binary expreesion, left_input=-17269380, right_input=7246, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=17276626","layer":1},{"info":"number node, value=6057","layer":4},{"info":"number node, value=6933","layer":4},{"info":"compute binary expreesion, left_input=6057, right_input=6933, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=12430","layer":3},{"info":"number node, value=7793","layer":4},{"info":"number node, value=1051","layer":4},{"info":"compute binary expreesion, left_input=7793, right_input=1051, op_id = T2fj7uvVaJ binary_op_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=12430, 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=62933","layer":2},{"info":"compute unary expreesion, input=62933, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-9498972","layer":1},{"info":"compute binary expreesion, left_input=17276626, right_input=-9498972, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮7660*⊺⇮2256)⨳⩥⨓⊺⇮5632⪮%⊝⊺⇮1557⇼⇔∾((⊺⇮2849↺⊺⇮7246)⨁⊸⫻))⨽((⊺⇮6057⪮%⊝⊺⇮6933⫡⨏⊺⇮7793⋓⊺⇮1051)↛⩡⫤)=-Inf","reverse_text":"-Inf=((⊺⇮7660*⊺⇮2256)⨳⩥⨓⊺⇮5632⪮%⊝⊺⇮1557⇼⇔∾((⊺⇮2849↺⊺⇮7246)⨁⊸⫻))⨽((⊺⇮6057⪮%⊝⊺⇮6933⫡⨏⊺⇮7793⋓⊺⇮1051)↛⩡⫤)","cot":[{"info":"⊺⇮7660*⊺⇮2256=⊺⇮17280960","layer":3},{"info":"⊺⇮5632⪮%⊝⊺⇮1557=⊺⇮11580","layer":3},{"info":"⊺⇮17280960⨳⩥⨓⊺⇮11580=⊺⇮-17269380","layer":2},{"info":"⊺⇮2849↺⊺⇮7246=⊺⇮7246","layer":3},{"info":"⊺⇮7246⨁⊸⫻=⊺⇮7246","layer":2},{"info":"⊺⇮-17269380⇼⇔∾⊺⇮7246=⊺⇮17276626","layer":1},{"info":"⊺⇮6057⪮%⊝⊺⇮6933=⊺⇮12430","layer":3},{"info":"⊺⇮7793⋓⊺⇮1051=⊺⇮0","layer":3},{"info":"⊺⇮12430⫡⨏⊺⇮0=⊺⇮62933","layer":2},{"info":"⊺⇮62933↛⩡⫤=⊺⇮-9498972","layer":1},{"info":"⊺⇮17276626⨽⊺⇮-9498972=-Inf","layer":0}]}
{"id":846,"expression_no_base_symbol":"(≦∁$2041$⩷∴$1349$)↙(⪝⪂⫅(↩$3277$))/$1789$⪮%⊝$4966$⇷(≤/$2312$)⩷∴($1711$⨎$3498$⊭↱$4205$⪘⫢$1250$)","expression":"(≦∁⊺⇮2041⩷∴⊺⇮1349)↙(⪝⪂⫅(↩⊺⇮3277))/⊺⇮1789⪮%⊝⊺⇮4966⇷(≤/⊺⇮2312)⩷∴(⊺⇮1711⨎⊺⇮3498⊭↱⊺⇮4205⪘⫢⊺⇮1250)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":54740,"operation_count":13,"complexity_ratio":4210.7692307692305,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2041,"base":10},"right_expr":{"type":"numeric_atoms","value":1349,"base":10}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":3277,"base":10}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1789,"base":10},"right_expr":{"type":"numeric_atoms","value":4966,"base":10}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2312,"base":10}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1711,"base":10},"right_expr":{"type":"numeric_atoms","value":3498,"base":10}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4205,"base":10},"right_expr":{"type":"numeric_atoms","value":1250,"base":10}}}}},"used_operators":["XhwjNDsVaA","yyfyN0ffXY","9ICcGScMcE","9FxExcQeMw","XTarYq4gQB","jLgFTUHLKL","mp7IySMOzn","IWmyXbctLI","eLAdDNolq6","COABgblf1C","rJVOvQCfKK","oacrs7FA3X"],"dependent_operators":["rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","9HNa5Wba9A","8w2t5hMYqp","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2041","layer":4},{"info":"number node, value=1349","layer":4},{"info":"compute binary expreesion, left_input=2041, right_input=1349, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1352","layer":3},{"info":"compute unary expreesion, input=1352, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1352","layer":2},{"info":"number node, value=3277","layer":4},{"info":"compute unary expreesion, input=3277, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-23436","layer":3},{"info":"compute unary expreesion, input=-23436, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=3445092","layer":2},{"info":"compute binary expreesion, left_input=1352, right_input=3445092, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":1},{"info":"number node, value=1789","layer":4},{"info":"number node, value=4966","layer":4},{"info":"compute binary expreesion, left_input=1789, right_input=4966, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3894","layer":3},{"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":"compute binary expreesion, left_input=3894, right_input=-1828, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"number node, value=1711","layer":4},{"info":"number node, value=3498","layer":4},{"info":"compute binary expreesion, left_input=1711, right_input=3498, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3498","layer":3},{"info":"number node, value=4205","layer":4},{"info":"number node, value=1250","layer":4},{"info":"compute binary expreesion, left_input=4205, right_input=1250, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=8286","layer":3},{"info":"compute binary expreesion, left_input=3498, right_input=8286, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=9581","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=9581, 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 = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":10,"result_base":10,"text":"(≦∁⊺⇮2041⩷∴⊺⇮1349)↙(⪝⪂⫅(↩⊺⇮3277))/⊺⇮1789⪮%⊝⊺⇮4966⇷(≤/⊺⇮2312)⩷∴(⊺⇮1711⨎⊺⇮3498⊭↱⊺⇮4205⪘⫢⊺⇮1250)=NaN","reverse_text":"NaN=(≦∁⊺⇮2041⩷∴⊺⇮1349)↙(⪝⪂⫅(↩⊺⇮3277))/⊺⇮1789⪮%⊝⊺⇮4966⇷(≤/⊺⇮2312)⩷∴(⊺⇮1711⨎⊺⇮3498⊭↱⊺⇮4205⪘⫢⊺⇮1250)","cot":[{"info":"⊺⇮2041⩷∴⊺⇮1349=⊺⇮1352","layer":3},{"info":"≦∁⊺⇮1352=⊺⇮1352","layer":2},{"info":"↩⊺⇮3277=⊺⇮-23436","layer":3},{"info":"⪝⪂⫅⊺⇮-23436=⊺⇮3445092","layer":2},{"info":"⊺⇮1352↙⊺⇮3445092=NaN","layer":1},{"info":"⊺⇮1789⪮%⊝⊺⇮4966=⊺⇮3894","layer":3},{"info":"≤/⊺⇮2312=⊺⇮-1828","layer":3},{"info":"⊺⇮3894⇷⊺⇮-1828=NaN","layer":2},{"info":"⊺⇮1711⨎⊺⇮3498=⊺⇮3498","layer":3},{"info":"⊺⇮4205⪘⫢⊺⇮1250=⊺⇮8286","layer":3},{"info":"⊺⇮3498⊭↱⊺⇮8286=⊺⇮9581","layer":2},{"info":"NaN⩷∴⊺⇮9581=NaN","layer":1},{"info":"NaN/NaN=NaN","layer":0}]}
{"id":847,"expression_no_base_symbol":"((⨑⩽⪐$2742$∼$3766$)≭($1191$⨎$5394$*$8179$⪮%⊝$1024$))∼(⊄⩳↩($2706$⨰$7924$⇼⇔∾(⊄⩳↩$1002$)))","expression":"((⨑⩽⪐⊺⇮2742∼⊺⇮3766)≭(⊺⇮1191⨎⊺⇮5394*⊺⇮8179⪮%⊝⊺⇮1024))∼(⊄⩳↩(⊺⇮2706⨰⊺⇮7924⇼⇔∾(⊄⩳↩⊺⇮1002)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5484,"operation_count":11,"complexity_ratio":498.54545454545456,"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":2742,"base":10},"right_expr":{"type":"numeric_atoms","value":3766,"base":10}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1191,"base":10},"right_expr":{"type":"numeric_atoms","value":5394,"base":10}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":8179,"base":10},"right_expr":{"type":"numeric_atoms","value":1024,"base":10}}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2706,"base":10},"right_expr":{"type":"numeric_atoms","value":7924,"base":10}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1002,"base":10}}}}},"used_operators":["DyGG3AbaNP","rxpJgHHUmx","AF7qkfDlqP","9HNa5Wba9A","rJVOvQCfKK","IWmyXbctLI","8w2t5hMYqp","tifHPKVTfV","eewbuw0ToL"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2742","layer":4},{"info":"number node, value=3766","layer":4},{"info":"compute binary expreesion, left_input=2742, right_input=3766, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=nan","layer":2},{"info":"number node, value=1191","layer":4},{"info":"number node, value=5394","layer":4},{"info":"compute binary expreesion, left_input=1191, right_input=5394, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5394","layer":3},{"info":"number node, value=8179","layer":4},{"info":"number node, value=1024","layer":4},{"info":"compute binary expreesion, left_input=8179, right_input=1024, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=16674","layer":3},{"info":"compute binary expreesion, left_input=5394, right_input=16674, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=89939556","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=89939556, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=2706","layer":4},{"info":"number node, value=7924","layer":4},{"info":"compute binary expreesion, left_input=2706, right_input=7924, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-5208","layer":3},{"info":"number node, value=1002","layer":4},{"info":"compute unary expreesion, input=1002, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3006","layer":3},{"info":"compute binary expreesion, left_input=-5208, right_input=-3006, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=2202","layer":2},{"info":"compute unary expreesion, input=2202, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-6606","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-6606, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⨑⩽⪐⊺⇮2742∼⊺⇮3766)≭(⊺⇮1191⨎⊺⇮5394*⊺⇮8179⪮%⊝⊺⇮1024))∼(⊄⩳↩(⊺⇮2706⨰⊺⇮7924⇼⇔∾(⊄⩳↩⊺⇮1002)))=NaN","reverse_text":"NaN=((⨑⩽⪐⊺⇮2742∼⊺⇮3766)≭(⊺⇮1191⨎⊺⇮5394*⊺⇮8179⪮%⊝⊺⇮1024))∼(⊄⩳↩(⊺⇮2706⨰⊺⇮7924⇼⇔∾(⊄⩳↩⊺⇮1002)))","cot":[{"info":"⊺⇮2742∼⊺⇮3766=NaN","layer":3},{"info":"⨑⩽⪐NaN=NaN","layer":2},{"info":"⊺⇮1191⨎⊺⇮5394=⊺⇮5394","layer":3},{"info":"⊺⇮8179⪮%⊝⊺⇮1024=⊺⇮16674","layer":3},{"info":"⊺⇮5394*⊺⇮16674=⊺⇮89939556","layer":2},{"info":"NaN≭⊺⇮89939556=NaN","layer":1},{"info":"⊺⇮2706⨰⊺⇮7924=⊺⇮-5208","layer":3},{"info":"⊄⩳↩⊺⇮1002=⊺⇮-3006","layer":3},{"info":"⊺⇮-5208⇼⇔∾⊺⇮-3006=⊺⇮2202","layer":2},{"info":"⊄⩳↩⊺⇮2202=⊺⇮-6606","layer":1},{"info":"NaN∼⊺⇮-6606=NaN","layer":0}]}
{"id":848,"expression_no_base_symbol":"((⨞⊢$1993$⪛$5001$)⪨≂($1283$⩨$1184$)≎⊠⪸($1796$⋷$1747$))⨟⋌⩍(($1645$⨳⩥⨓$2941$⫸⊐$1860$⫥∨⫟$2816$)⨳⩥⨓$5712$⨰$4346$≧⫂∧($2807$%$5626$))","expression":"((⨞⊢⊺⇮1993⪛⊺⇮5001)⪨≂(⊺⇮1283⩨⊺⇮1184)≎⊠⪸(⊺⇮1796⋷⊺⇮1747))⨟⋌⩍((⊺⇮1645⨳⩥⨓⊺⇮2941⫸⊐⊺⇮1860⫥∨⫟⊺⇮2816)⨳⩥⨓⊺⇮5712⨰⊺⇮4346≧⫂∧(⊺⇮2807%⊺⇮5626))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":221,"operation_count":14,"complexity_ratio":15.785714285714286,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1993,"base":10},"right_expr":{"type":"numeric_atoms","value":5001,"base":10}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1283,"base":10},"right_expr":{"type":"numeric_atoms","value":1184,"base":10}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1796,"base":10},"right_expr":{"type":"numeric_atoms","value":1747,"base":10}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1645,"base":10},"right_expr":{"type":"numeric_atoms","value":2941,"base":10}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1860,"base":10},"right_expr":{"type":"numeric_atoms","value":2816,"base":10}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":5712,"base":10},"right_expr":{"type":"numeric_atoms","value":4346,"base":10}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2807,"base":10},"right_expr":{"type":"numeric_atoms","value":5626,"base":10}}}}},"used_operators":["rGHVDoGpnC","sdazOOVcIp","xUOZtlo3hN","uFcxV4UQCh","bJkvcejdHO","2DlMacCsIx","23Mk6UjR3U","nCS4ZIUYfx","mqXw5SEYmG","KYD54nUTWz","Ph9nP6C5qx","eewbuw0ToL","k8jYdgA6NY"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1993","layer":4},{"info":"number node, value=5001","layer":4},{"info":"compute binary expreesion, left_input=1993, right_input=5001, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1993","layer":3},{"info":"compute unary expreesion, input=1993, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2167","layer":2},{"info":"number node, value=1283","layer":4},{"info":"number node, value=1184","layer":4},{"info":"compute binary expreesion, left_input=1283, right_input=1184, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=1796","layer":4},{"info":"number node, value=1747","layer":4},{"info":"compute binary expreesion, left_input=1796, right_input=1747, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1698","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1698, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=-473","layer":2},{"info":"compute binary expreesion, left_input=-2167, right_input=-473, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-3286","layer":1},{"info":"number node, value=1645","layer":4},{"info":"number node, value=2941","layer":4},{"info":"compute binary expreesion, left_input=1645, right_input=2941, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1296","layer":3},{"info":"number node, value=1860","layer":4},{"info":"number node, value=2816","layer":4},{"info":"compute binary expreesion, left_input=1860, right_input=2816, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1296, 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=5712","layer":4},{"info":"number node, value=4346","layer":4},{"info":"compute binary expreesion, left_input=5712, right_input=4346, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1376","layer":3},{"info":"number node, value=2807","layer":4},{"info":"number node, value=5626","layer":4},{"info":"compute binary expreesion, left_input=2807, right_input=5626, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2807","layer":3},{"info":"compute binary expreesion, left_input=1376, right_input=2807, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2334","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2334, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-3286, 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":10,"result_base":10,"text":"((⨞⊢⊺⇮1993⪛⊺⇮5001)⪨≂(⊺⇮1283⩨⊺⇮1184)≎⊠⪸(⊺⇮1796⋷⊺⇮1747))⨟⋌⩍((⊺⇮1645⨳⩥⨓⊺⇮2941⫸⊐⊺⇮1860⫥∨⫟⊺⇮2816)⨳⩥⨓⊺⇮5712⨰⊺⇮4346≧⫂∧(⊺⇮2807%⊺⇮5626))=NaN","reverse_text":"NaN=((⨞⊢⊺⇮1993⪛⊺⇮5001)⪨≂(⊺⇮1283⩨⊺⇮1184)≎⊠⪸(⊺⇮1796⋷⊺⇮1747))⨟⋌⩍((⊺⇮1645⨳⩥⨓⊺⇮2941⫸⊐⊺⇮1860⫥∨⫟⊺⇮2816)⨳⩥⨓⊺⇮5712⨰⊺⇮4346≧⫂∧(⊺⇮2807%⊺⇮5626))","cot":[{"info":"⊺⇮1993⪛⊺⇮5001=⊺⇮1993","layer":3},{"info":"⨞⊢⊺⇮1993=⊺⇮-2167","layer":2},{"info":"⊺⇮1283⩨⊺⇮1184=⊺⇮0","layer":3},{"info":"⊺⇮1796⋷⊺⇮1747=⊺⇮1698","layer":3},{"info":"⊺⇮0≎⊠⪸⊺⇮1698=⊺⇮-473","layer":2},{"info":"⊺⇮-2167⪨≂⊺⇮-473=⊺⇮-3286","layer":1},{"info":"⊺⇮1645⨳⩥⨓⊺⇮2941=⊺⇮1296","layer":3},{"info":"⊺⇮1860⫥∨⫟⊺⇮2816=NaN","layer":3},{"info":"⊺⇮1296⫸⊐NaN=NaN","layer":2},{"info":"⊺⇮5712⨰⊺⇮4346=⊺⇮1376","layer":3},{"info":"⊺⇮2807%⊺⇮5626=⊺⇮2807","layer":3},{"info":"⊺⇮1376≧⫂∧⊺⇮2807=⊺⇮2334","layer":2},{"info":"NaN⨳⩥⨓⊺⇮2334=NaN","layer":1},{"info":"⊺⇮-3286⨟⋌⩍NaN=NaN","layer":0}]}
{"id":849,"expression_no_base_symbol":"(($3687$⪛$1022$)⨟⋌⩍(∥⊫$3449$)↛⩡⫤)∀⇚≩(↽≂(⨞⊢$6998$≎⊠⪸$1650$))","expression":"((⊺⇮3687⪛⊺⇮1022)⨟⋌⩍(∥⊫⊺⇮3449)↛⩡⫤)∀⇚≩(↽≂(⨞⊢⊺⇮6998≎⊠⪸⊺⇮1650))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":350,"operation_count":8,"complexity_ratio":43.75,"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":3687,"base":10},"right_expr":{"type":"numeric_atoms","value":1022,"base":10}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":3449,"base":10}}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":6998,"base":10},"right_expr":{"type":"numeric_atoms","value":1650,"base":10}}}}},"used_operators":["LRNGc0VcxI","FU0Cs4j7VP","rGHVDoGpnC","uFcxV4UQCh","P8v4zCKN1o","u6S6b8DprG","xUOZtlo3hN","bJkvcejdHO"],"dependent_operators":["X99M06cbEe","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","Tcnh7f0tEr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3687","layer":4},{"info":"number node, value=1022","layer":4},{"info":"compute binary expreesion, left_input=3687, right_input=1022, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=621","layer":3},{"info":"number node, value=3449","layer":4},{"info":"compute unary expreesion, input=3449, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4317","layer":3},{"info":"compute binary expreesion, left_input=621, right_input=4317, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = 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=6998","layer":4},{"info":"number node, value=1650","layer":4},{"info":"compute binary expreesion, left_input=6998, right_input=1650, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1812009","layer":3},{"info":"compute unary expreesion, input=1812009, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1812183","layer":2},{"info":"compute unary expreesion, input=-1812183, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=3624366","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3624366, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":10,"result_base":10,"text":"((⊺⇮3687⪛⊺⇮1022)⨟⋌⩍(∥⊫⊺⇮3449)↛⩡⫤)∀⇚≩(↽≂(⨞⊢⊺⇮6998≎⊠⪸⊺⇮1650))=NaN","reverse_text":"NaN=((⊺⇮3687⪛⊺⇮1022)⨟⋌⩍(∥⊫⊺⇮3449)↛⩡⫤)∀⇚≩(↽≂(⨞⊢⊺⇮6998≎⊠⪸⊺⇮1650))","cot":[{"info":"⊺⇮3687⪛⊺⇮1022=⊺⇮621","layer":3},{"info":"∥⊫⊺⇮3449=⊺⇮4317","layer":3},{"info":"⊺⇮621⨟⋌⩍⊺⇮4317=NaN","layer":2},{"info":"NaN↛⩡⫤=NaN","layer":1},{"info":"⊺⇮6998≎⊠⪸⊺⇮1650=⊺⇮1812009","layer":3},{"info":"⨞⊢⊺⇮1812009=⊺⇮-1812183","layer":2},{"info":"↽≂⊺⇮-1812183=⊺⇮3624366","layer":1},{"info":"NaN∀⇚≩⊺⇮3624366=NaN","layer":0}]}
{"id":850,"expression_no_base_symbol":"$5525$⪮%⊝$5571$⪒(⪝⪂⫅$1459$)⋷($5584$∲⫓$1432$)⨳⩥⨓$1043$⊴$1185$⋷($2751$↪⪝)⪘⫢($1093$⋓$1345$)⫥∨⫟($2871$⨰$1120$⪒(↩$5072$))","expression":"⊺⇮5525⪮%⊝⊺⇮5571⪒(⪝⪂⫅⊺⇮1459)⋷(⊺⇮5584∲⫓⊺⇮1432)⨳⩥⨓⊺⇮1043⊴⊺⇮1185⋷(⊺⇮2751↪⪝)⪘⫢(⊺⇮1093⋓⊺⇮1345)⫥∨⫟(⊺⇮2871⨰⊺⇮1120⪒(↩⊺⇮5072))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2264,"operation_count":15,"complexity_ratio":150.93333333333334,"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":5525,"base":10},"right_expr":{"type":"numeric_atoms","value":5571,"base":10}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1459,"base":10}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":5584,"base":10},"right_expr":{"type":"numeric_atoms","value":1432,"base":10}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1043,"base":10},"right_expr":{"type":"numeric_atoms","value":1185,"base":10}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":2751,"base":10}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1093,"base":10},"right_expr":{"type":"numeric_atoms","value":1345,"base":10}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2871,"base":10},"right_expr":{"type":"numeric_atoms","value":1120,"base":10}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":5072,"base":10}}}}},"used_operators":["23Mk6UjR3U","f6k1SAg4EE","IWmyXbctLI","XTarYq4gQB","nCS4ZIUYfx","i8ToyICDmI","Nsiff2A1zJ","KYD54nUTWz","oacrs7FA3X","l07mrZUIn9","T2fj7uvVaJ","eewbuw0ToL","jLgFTUHLKL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","8HhzD0ZcuI","rGHVDoGpnC","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9HNa5Wba9A","2DDjHMKMc0","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5525","layer":4},{"info":"number node, value=5571","layer":4},{"info":"compute binary expreesion, left_input=5525, right_input=5571, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=11366","layer":3},{"info":"number node, value=1459","layer":4},{"info":"compute unary expreesion, input=1459, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-214473","layer":3},{"info":"compute binary expreesion, left_input=11366, right_input=-214473, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=203107","layer":2},{"info":"number node, value=5584","layer":4},{"info":"number node, value=1432","layer":4},{"info":"compute binary expreesion, left_input=5584, right_input=1432, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1043","layer":4},{"info":"number node, value=1185","layer":4},{"info":"compute binary expreesion, left_input=1043, right_input=1185, 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 = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=203107, 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=2751","layer":4},{"info":"compute unary expreesion, input=2751, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=168311682","layer":3},{"info":"number node, value=1093","layer":4},{"info":"number node, value=1345","layer":4},{"info":"compute binary expreesion, left_input=1093, right_input=1345, op_id = T2fj7uvVaJ binary_op_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=168311682, right_input=0, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=0","layer":2},{"info":"number node, value=2871","layer":4},{"info":"number node, value=1120","layer":4},{"info":"compute binary expreesion, left_input=2871, right_input=1120, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1761","layer":3},{"info":"number node, value=5072","layer":4},{"info":"compute unary expreesion, input=5072, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-37796","layer":3},{"info":"compute binary expreesion, left_input=1761, right_input=-37796, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=36035","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=36035, 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 = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⊺⇮5525⪮%⊝⊺⇮5571⪒(⪝⪂⫅⊺⇮1459)⋷(⊺⇮5584∲⫓⊺⇮1432)⨳⩥⨓⊺⇮1043⊴⊺⇮1185⋷(⊺⇮2751↪⪝)⪘⫢(⊺⇮1093⋓⊺⇮1345)⫥∨⫟(⊺⇮2871⨰⊺⇮1120⪒(↩⊺⇮5072))=NaN","reverse_text":"NaN=⊺⇮5525⪮%⊝⊺⇮5571⪒(⪝⪂⫅⊺⇮1459)⋷(⊺⇮5584∲⫓⊺⇮1432)⨳⩥⨓⊺⇮1043⊴⊺⇮1185⋷(⊺⇮2751↪⪝)⪘⫢(⊺⇮1093⋓⊺⇮1345)⫥∨⫟(⊺⇮2871⨰⊺⇮1120⪒(↩⊺⇮5072))","cot":[{"info":"⊺⇮5525⪮%⊝⊺⇮5571=⊺⇮11366","layer":3},{"info":"⪝⪂⫅⊺⇮1459=⊺⇮-214473","layer":3},{"info":"⊺⇮11366⪒⊺⇮-214473=⊺⇮203107","layer":2},{"info":"⊺⇮5584∲⫓⊺⇮1432=⊺⇮0","layer":3},{"info":"⊺⇮1043⊴⊺⇮1185=NaN","layer":3},{"info":"⊺⇮0⨳⩥⨓NaN=NaN","layer":2},{"info":"⊺⇮203107⋷NaN=NaN","layer":1},{"info":"⊺⇮2751↪⪝=⊺⇮168311682","layer":3},{"info":"⊺⇮1093⋓⊺⇮1345=⊺⇮0","layer":3},{"info":"⊺⇮168311682⪘⫢⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮2871⨰⊺⇮1120=⊺⇮1761","layer":3},{"info":"↩⊺⇮5072=⊺⇮-37796","layer":3},{"info":"⊺⇮1761⪒⊺⇮-37796=⊺⇮36035","layer":2},{"info":"⊺⇮0⫥∨⫟⊺⇮36035=NaN","layer":1},{"info":"NaN⋷NaN=NaN","layer":0}]}
{"id":851,"expression_no_base_symbol":"((-$1704$⇼⇔∾$2313$)↺((⨰⫟⨤$2859$)-(⪲⇎$2722$)))≎⊠⪸($1173$⪢$7685$↬($7087$+⇶⊼$2889$)+⇶⊼((⨈⫕$1283$)⨐⩸⫘(↯⪼$6049$)))","expression":"((-⊺⇮1704⇼⇔∾⊺⇮2313)↺((⨰⫟⨤⊺⇮2859)-(⪲⇎⊺⇮2722)))≎⊠⪸(⊺⇮1173⪢⊺⇮7685↬(⊺⇮7087+⇶⊼⊺⇮2889)+⇶⊼((⨈⫕⊺⇮1283)⨐⩸⫘(↯⪼⊺⇮6049)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":19885,"operation_count":14,"complexity_ratio":1420.357142857143,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1704,"base":10},"right_expr":{"type":"numeric_atoms","value":2313,"base":10}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2859,"base":10}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":2722,"base":10}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1173,"base":10},"right_expr":{"type":"numeric_atoms","value":7685,"base":10}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":7087,"base":10},"right_expr":{"type":"numeric_atoms","value":2889,"base":10}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1283,"base":10}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":6049,"base":10}}}}},"used_operators":["bJkvcejdHO","7j4O788W3g","t8gj7n24qd","tifHPKVTfV","rysDP5nf3Z","Tw270M8GLb","XPYlsWDdGa","TpPTUOHfaN","B5M0gjZbta","dWAJyo7jo9","fu6greOZ01","megm06wKyl","8jW3W4yZS5"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rGHVDoGpnC","k8jYdgA6NY","3ViojmjbAp","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"⊺⇮67","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1704","layer":4},{"info":"number node, value=2313","layer":4},{"info":"compute binary expreesion, left_input=1704, right_input=2313, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=609","layer":3},{"info":"compute unary expreesion, input=609, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-609","layer":2},{"info":"number node, value=2859","layer":4},{"info":"compute unary expreesion, input=2859, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=2722","layer":4},{"info":"compute unary expreesion, input=2722, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=5444","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5444, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-609, 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=1173","layer":4},{"info":"number node, value=7685","layer":4},{"info":"compute binary expreesion, left_input=1173, right_input=7685, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=7087","layer":4},{"info":"number node, value=2889","layer":4},{"info":"compute binary expreesion, left_input=7087, right_input=2889, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=1283","layer":4},{"info":"compute unary expreesion, input=1283, 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=6049","layer":4},{"info":"compute unary expreesion, input=6049, 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 = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=24","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=24, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":10,"result_base":10,"text":"((-⊺⇮1704⇼⇔∾⊺⇮2313)↺((⨰⫟⨤⊺⇮2859)-(⪲⇎⊺⇮2722)))≎⊠⪸(⊺⇮1173⪢⊺⇮7685↬(⊺⇮7087+⇶⊼⊺⇮2889)+⇶⊼((⨈⫕⊺⇮1283)⨐⩸⫘(↯⪼⊺⇮6049)))=⊺⇮67","reverse_text":"⊺⇮67=((-⊺⇮1704⇼⇔∾⊺⇮2313)↺((⨰⫟⨤⊺⇮2859)-(⪲⇎⊺⇮2722)))≎⊠⪸(⊺⇮1173⪢⊺⇮7685↬(⊺⇮7087+⇶⊼⊺⇮2889)+⇶⊼((⨈⫕⊺⇮1283)⨐⩸⫘(↯⪼⊺⇮6049)))","cot":[{"info":"⊺⇮1704⇼⇔∾⊺⇮2313=⊺⇮609","layer":3},{"info":"-⊺⇮609=⊺⇮-609","layer":2},{"info":"⨰⫟⨤⊺⇮2859=NaN","layer":3},{"info":"⪲⇎⊺⇮2722=⊺⇮5444","layer":3},{"info":"NaN-⊺⇮5444=NaN","layer":2},{"info":"⊺⇮-609↺NaN=NaN","layer":1},{"info":"⊺⇮1173⪢⊺⇮7685=NaN","layer":3},{"info":"⊺⇮7087+⇶⊼⊺⇮2889=NaN","layer":3},{"info":"NaN↬NaN=NaN","layer":2},{"info":"⨈⫕⊺⇮1283=⊺⇮-21","layer":3},{"info":"↯⪼⊺⇮6049=⊺⇮-21","layer":3},{"info":"⊺⇮-21⨐⩸⫘⊺⇮-21=⊺⇮24","layer":2},{"info":"NaN+⇶⊼⊺⇮24=NaN","layer":1},{"info":"NaN≎⊠⪸NaN=⊺⇮67","layer":0}]}
{"id":852,"expression_no_base_symbol":"(($1648$⪒$2638$)⪮%⊝($5451$⨪↰⇹$6433$))⪢(($1003$⨽$1393$)⨰($4143$⊭∹↮))⪄(⊥((≦∁$4346$)⋷$1057$⨳⩥⨓$2384$))","expression":"((⊺⇮1648⪒⊺⇮2638)⪮%⊝(⊺⇮5451⨪↰⇹⊺⇮6433))⪢((⊺⇮1003⨽⊺⇮1393)⨰(⊺⇮4143⊭∹↮))⪄(⊥((≦∁⊺⇮4346)⋷⊺⇮1057⨳⩥⨓⊺⇮2384))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6517,"operation_count":12,"complexity_ratio":543.0833333333334,"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":1648,"base":10},"right_expr":{"type":"numeric_atoms","value":2638,"base":10}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":5451,"base":10},"right_expr":{"type":"numeric_atoms","value":6433,"base":10}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1003,"base":10},"right_expr":{"type":"numeric_atoms","value":1393,"base":10}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":4143,"base":10}}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":4346,"base":10}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1057,"base":10},"right_expr":{"type":"numeric_atoms","value":2384,"base":10}}}}},"used_operators":["SUmda5xLS4","dWAJyo7jo9","IWmyXbctLI","f6k1SAg4EE","tmPS8pqC7x","eewbuw0ToL","8HhzD0ZcuI","xNBdhnnwKq","Q3PJZHRvZv","23Mk6UjR3U","9ICcGScMcE","nCS4ZIUYfx"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","k8jYdgA6NY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","fu6greOZ01","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z"],"result":"⊺⇮3979","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1648","layer":4},{"info":"number node, value=2638","layer":4},{"info":"compute binary expreesion, left_input=1648, right_input=2638, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4286","layer":3},{"info":"number node, value=5451","layer":4},{"info":"number node, value=6433","layer":4},{"info":"compute binary expreesion, left_input=5451, right_input=6433, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=5451","layer":3},{"info":"compute binary expreesion, left_input=-4286, right_input=5451, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-8256","layer":2},{"info":"number node, value=1003","layer":4},{"info":"number node, value=1393","layer":4},{"info":"compute binary expreesion, left_input=1003, right_input=1393, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3020892","layer":3},{"info":"number node, value=4143","layer":4},{"info":"compute unary expreesion, input=4143, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=8286","layer":3},{"info":"compute binary expreesion, left_input=-3020892, right_input=8286, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-3029168","layer":2},{"info":"compute binary expreesion, left_input=-8256, right_input=-3029168, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=4346","layer":4},{"info":"compute unary expreesion, input=4346, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=4346","layer":3},{"info":"number node, value=1057","layer":4},{"info":"number node, value=2384","layer":4},{"info":"compute binary expreesion, left_input=1057, right_input=2384, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1327","layer":3},{"info":"compute binary expreesion, left_input=4346, right_input=1327, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-1692","layer":2},{"info":"compute unary expreesion, input=-1692, 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 = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1648⪒⊺⇮2638)⪮%⊝(⊺⇮5451⨪↰⇹⊺⇮6433))⪢((⊺⇮1003⨽⊺⇮1393)⨰(⊺⇮4143⊭∹↮))⪄(⊥((≦∁⊺⇮4346)⋷⊺⇮1057⨳⩥⨓⊺⇮2384))=⊺⇮3979","reverse_text":"⊺⇮3979=((⊺⇮1648⪒⊺⇮2638)⪮%⊝(⊺⇮5451⨪↰⇹⊺⇮6433))⪢((⊺⇮1003⨽⊺⇮1393)⨰(⊺⇮4143⊭∹↮))⪄(⊥((≦∁⊺⇮4346)⋷⊺⇮1057⨳⩥⨓⊺⇮2384))","cot":[{"info":"⊺⇮1648⪒⊺⇮2638=⊺⇮-4286","layer":3},{"info":"⊺⇮5451⨪↰⇹⊺⇮6433=⊺⇮5451","layer":3},{"info":"⊺⇮-4286⪮%⊝⊺⇮5451=⊺⇮-8256","layer":2},{"info":"⊺⇮1003⨽⊺⇮1393=⊺⇮-3020892","layer":3},{"info":"⊺⇮4143⊭∹↮=⊺⇮8286","layer":3},{"info":"⊺⇮-3020892⨰⊺⇮8286=⊺⇮-3029168","layer":2},{"info":"⊺⇮-8256⪢⊺⇮-3029168=NaN","layer":1},{"info":"≦∁⊺⇮4346=⊺⇮4346","layer":3},{"info":"⊺⇮1057⨳⩥⨓⊺⇮2384=⊺⇮1327","layer":3},{"info":"⊺⇮4346⋷⊺⇮1327=⊺⇮-1692","layer":2},{"info":"⊥⊺⇮-1692=NaN","layer":1},{"info":"NaN⪄NaN=⊺⇮3979","layer":0}]}
{"id":853,"expression_no_base_symbol":"((($1104$%$3754$)⩨$3319$⫥∨⫟$7192$)≧⫂∧($3775$⨰$4103$)∼($3188$∀⇚≩$1473$))⪛(($1780$⩠)⪛($1148$*$4083$)⇷(↽≂$1506$)↬($3194$⨳⩥⨓$1094$))","expression":"(((⊺⇮1104%⊺⇮3754)⩨⊺⇮3319⫥∨⫟⊺⇮7192)≧⫂∧(⊺⇮3775⨰⊺⇮4103)∼(⊺⇮3188∀⇚≩⊺⇮1473))⪛((⊺⇮1780⩠)⪛(⊺⇮1148*⊺⇮4083)⇷(↽≂⊺⇮1506)↬(⊺⇮3194⨳⩥⨓⊺⇮1094))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":23678,"operation_count":15,"complexity_ratio":1578.5333333333333,"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":1104,"base":10},"right_expr":{"type":"numeric_atoms","value":3754,"base":10}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3319,"base":10},"right_expr":{"type":"numeric_atoms","value":7192,"base":10}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3775,"base":10},"right_expr":{"type":"numeric_atoms","value":4103,"base":10}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3188,"base":10},"right_expr":{"type":"numeric_atoms","value":1473,"base":10}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1780,"base":10}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1148,"base":10},"right_expr":{"type":"numeric_atoms","value":4083,"base":10}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1506,"base":10}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3194,"base":10},"right_expr":{"type":"numeric_atoms","value":1094,"base":10}}}}},"used_operators":["uFcxV4UQCh","Ph9nP6C5qx","2DlMacCsIx","k8jYdgA6NY","KYD54nUTWz","DyGG3AbaNP","eewbuw0ToL","LRNGc0VcxI","mp7IySMOzn","sJAwomhLZr","9HNa5Wba9A","B5M0gjZbta","u6S6b8DprG","nCS4ZIUYfx"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1104","layer":4},{"info":"number node, value=3754","layer":4},{"info":"compute binary expreesion, left_input=1104, right_input=3754, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1104","layer":3},{"info":"number node, value=3319","layer":4},{"info":"number node, value=7192","layer":4},{"info":"compute binary expreesion, left_input=3319, right_input=7192, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1104, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"number node, value=3775","layer":4},{"info":"number node, value=4103","layer":4},{"info":"compute binary expreesion, left_input=3775, right_input=4103, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-318","layer":3},{"info":"number node, value=3188","layer":4},{"info":"number node, value=1473","layer":4},{"info":"compute binary expreesion, left_input=3188, right_input=1473, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=-318, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":1},{"info":"number node, value=1780","layer":4},{"info":"compute unary expreesion, input=1780, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=1148","layer":4},{"info":"number node, value=4083","layer":4},{"info":"compute binary expreesion, left_input=1148, right_input=4083, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4687284","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4687284, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=0","layer":2},{"info":"number node, value=1506","layer":4},{"info":"compute unary expreesion, input=1506, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-3012","layer":3},{"info":"number node, value=3194","layer":4},{"info":"number node, value=1094","layer":4},{"info":"compute binary expreesion, left_input=3194, right_input=1094, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2100","layer":3},{"info":"compute binary expreesion, left_input=-3012, right_input=-2100, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮1104%⊺⇮3754)⩨⊺⇮3319⫥∨⫟⊺⇮7192)≧⫂∧(⊺⇮3775⨰⊺⇮4103)∼(⊺⇮3188∀⇚≩⊺⇮1473))⪛((⊺⇮1780⩠)⪛(⊺⇮1148*⊺⇮4083)⇷(↽≂⊺⇮1506)↬(⊺⇮3194⨳⩥⨓⊺⇮1094))=NaN","reverse_text":"NaN=(((⊺⇮1104%⊺⇮3754)⩨⊺⇮3319⫥∨⫟⊺⇮7192)≧⫂∧(⊺⇮3775⨰⊺⇮4103)∼(⊺⇮3188∀⇚≩⊺⇮1473))⪛((⊺⇮1780⩠)⪛(⊺⇮1148*⊺⇮4083)⇷(↽≂⊺⇮1506)↬(⊺⇮3194⨳⩥⨓⊺⇮1094))","cot":[{"info":"⊺⇮1104%⊺⇮3754=⊺⇮1104","layer":3},{"info":"⊺⇮3319⫥∨⫟⊺⇮7192=NaN","layer":3},{"info":"⊺⇮1104⩨NaN=NaN","layer":2},{"info":"⊺⇮3775⨰⊺⇮4103=⊺⇮-318","layer":3},{"info":"⊺⇮3188∀⇚≩⊺⇮1473=NaN","layer":3},{"info":"⊺⇮-318∼NaN=NaN","layer":2},{"info":"NaN≧⫂∧NaN=NaN","layer":1},{"info":"⊺⇮1780⩠=⊺⇮0","layer":3},{"info":"⊺⇮1148*⊺⇮4083=⊺⇮4687284","layer":3},{"info":"⊺⇮0⪛⊺⇮4687284=⊺⇮0","layer":2},{"info":"↽≂⊺⇮1506=⊺⇮-3012","layer":3},{"info":"⊺⇮3194⨳⩥⨓⊺⇮1094=⊺⇮-2100","layer":3},{"info":"⊺⇮-3012↬⊺⇮-2100=NaN","layer":2},{"info":"⊺⇮0⇷NaN=NaN","layer":1},{"info":"NaN⪛NaN=NaN","layer":0}]}
{"id":854,"expression_no_base_symbol":"(($3464$⪮%⊝$1234$⋷$6546$∑⇟⊟$2231$)↺(≉$7318$⫥∨⫟$2273$))⪠⩆⊳","expression":"((⊺⇮3464⪮%⊝⊺⇮1234⋷⊺⇮6546∑⇟⊟⊺⇮2231)↺(≉⊺⇮7318⫥∨⫟⊺⇮2273))⪠⩆⊳","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":176,"operation_count":7,"complexity_ratio":25.142857142857142,"tree":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3464,"base":10},"right_expr":{"type":"numeric_atoms","value":1234,"base":10}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":6546,"base":10},"right_expr":{"type":"numeric_atoms","value":2231,"base":10}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":7318,"base":10},"right_expr":{"type":"numeric_atoms","value":2273,"base":10}}}}},"used_operators":["JLbD19bQDL","7j4O788W3g","23Mk6UjR3U","IWmyXbctLI","U7g4x0WXJJ","e1ybzncUwg","KYD54nUTWz"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=3464","layer":4},{"info":"number node, value=1234","layer":4},{"info":"compute binary expreesion, left_input=3464, right_input=1234, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=7244","layer":3},{"info":"number node, value=6546","layer":4},{"info":"number node, value=2231","layer":4},{"info":"compute binary expreesion, left_input=6546, right_input=2231, 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=7244, 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=7318","layer":4},{"info":"number node, value=2273","layer":4},{"info":"compute binary expreesion, left_input=7318, right_input=2273, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=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 = 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":10,"result_base":10,"text":"((⊺⇮3464⪮%⊝⊺⇮1234⋷⊺⇮6546∑⇟⊟⊺⇮2231)↺(≉⊺⇮7318⫥∨⫟⊺⇮2273))⪠⩆⊳=NaN","reverse_text":"NaN=((⊺⇮3464⪮%⊝⊺⇮1234⋷⊺⇮6546∑⇟⊟⊺⇮2231)↺(≉⊺⇮7318⫥∨⫟⊺⇮2273))⪠⩆⊳","cot":[{"info":"⊺⇮3464⪮%⊝⊺⇮1234=⊺⇮7244","layer":3},{"info":"⊺⇮6546∑⇟⊟⊺⇮2231=NaN","layer":3},{"info":"⊺⇮7244⋷NaN=NaN","layer":2},{"info":"⊺⇮7318⫥∨⫟⊺⇮2273=NaN","layer":3},{"info":"≉NaN=NaN","layer":2},{"info":"NaN↺NaN=NaN","layer":1},{"info":"NaN⪠⩆⊳=NaN","layer":0}]}
{"id":855,"expression_no_base_symbol":"((⨑⩽⪐$5834$)∀⇚≩($1979$⋫)⪨≂(⊄⩳↩($4476$∲⫓$3772$)))⊠≄⫣","expression":"((⨑⩽⪐⊺⇮5834)∀⇚≩(⊺⇮1979⋫)⪨≂(⊄⩳↩(⊺⇮4476∲⫓⊺⇮3772)))⊠≄⫣","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":40923,"operation_count":7,"complexity_ratio":5846.142857142857,"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":5834,"base":10}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1979,"base":10}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4476,"base":10},"right_expr":{"type":"numeric_atoms","value":3772,"base":10}}}}},"used_operators":["DIvbN7qnHd","sdazOOVcIp","LRNGc0VcxI","AF7qkfDlqP","JL8yIekQnl","8w2t5hMYqp","i8ToyICDmI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","tmPS8pqC7x","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5834","layer":4},{"info":"compute unary expreesion, input=5834, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-5561","layer":3},{"info":"number node, value=1979","layer":4},{"info":"compute unary expreesion, input=1979, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1979","layer":3},{"info":"compute binary expreesion, left_input=-5561, right_input=1979, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=4476","layer":4},{"info":"number node, value=3772","layer":4},{"info":"compute binary expreesion, left_input=4476, right_input=3772, 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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', 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 = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⨑⩽⪐⊺⇮5834)∀⇚≩(⊺⇮1979⋫)⪨≂(⊄⩳↩(⊺⇮4476∲⫓⊺⇮3772)))⊠≄⫣=NaN","reverse_text":"NaN=((⨑⩽⪐⊺⇮5834)∀⇚≩(⊺⇮1979⋫)⪨≂(⊄⩳↩(⊺⇮4476∲⫓⊺⇮3772)))⊠≄⫣","cot":[{"info":"⨑⩽⪐⊺⇮5834=⊺⇮-5561","layer":3},{"info":"⊺⇮1979⋫=⊺⇮1979","layer":3},{"info":"⊺⇮-5561∀⇚≩⊺⇮1979=NaN","layer":2},{"info":"⊺⇮4476∲⫓⊺⇮3772=⊺⇮0","layer":3},{"info":"⊄⩳↩⊺⇮0=⊺⇮0","layer":2},{"info":"NaN⪨≂⊺⇮0=NaN","layer":1},{"info":"NaN⊠≄⫣=NaN","layer":0}]}
{"id":856,"expression_no_base_symbol":"(($6043$⨟⋌⩍$1271$⨽$3656$⫥∨⫟$1178$)∧)↙((⫓⪴$8536$⨪↰⇹$1903$)↺($1377$⫥∨⫟$3170$)∼$3108$⨟⋌⩍$4196$)","expression":"((⊺⇮6043⨟⋌⩍⊺⇮1271⨽⊺⇮3656⫥∨⫟⊺⇮1178)∧)↙((⫓⪴⊺⇮8536⨪↰⇹⊺⇮1903)↺(⊺⇮1377⫥∨⫟⊺⇮3170)∼⊺⇮3108⨟⋌⩍⊺⇮4196)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":17406,"operation_count":11,"complexity_ratio":1582.3636363636363,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":6043,"base":10},"right_expr":{"type":"numeric_atoms","value":1271,"base":10}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3656,"base":10},"right_expr":{"type":"numeric_atoms","value":1178,"base":10}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":8536,"base":10},"right_expr":{"type":"numeric_atoms","value":1903,"base":10}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1377,"base":10},"right_expr":{"type":"numeric_atoms","value":3170,"base":10}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3108,"base":10},"right_expr":{"type":"numeric_atoms","value":4196,"base":10}}}}},"used_operators":["yyfyN0ffXY","z63VuFQld9","8HhzD0ZcuI","rGHVDoGpnC","KYD54nUTWz","7j4O788W3g","eLxqMNBOBk","tmPS8pqC7x","DyGG3AbaNP"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","Tcnh7f0tEr","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","rJVOvQCfKK","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6043","layer":4},{"info":"number node, value=1271","layer":4},{"info":"compute binary expreesion, left_input=6043, right_input=1271, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=3656","layer":4},{"info":"number node, value=1178","layer":4},{"info":"compute binary expreesion, left_input=3656, right_input=1178, 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 = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(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":"number node, value=8536","layer":4},{"info":"number node, value=1903","layer":4},{"info":"compute binary expreesion, left_input=8536, right_input=1903, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=8536","layer":3},{"info":"compute unary expreesion, input=8536, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=72863296","layer":2},{"info":"number node, value=1377","layer":4},{"info":"number node, value=3170","layer":4},{"info":"compute binary expreesion, left_input=1377, right_input=3170, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=3108","layer":4},{"info":"number node, value=4196","layer":4},{"info":"compute binary expreesion, left_input=3108, right_input=4196, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=72863296, 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":10,"result_base":10,"text":"((⊺⇮6043⨟⋌⩍⊺⇮1271⨽⊺⇮3656⫥∨⫟⊺⇮1178)∧)↙((⫓⪴⊺⇮8536⨪↰⇹⊺⇮1903)↺(⊺⇮1377⫥∨⫟⊺⇮3170)∼⊺⇮3108⨟⋌⩍⊺⇮4196)=NaN","reverse_text":"NaN=((⊺⇮6043⨟⋌⩍⊺⇮1271⨽⊺⇮3656⫥∨⫟⊺⇮1178)∧)↙((⫓⪴⊺⇮8536⨪↰⇹⊺⇮1903)↺(⊺⇮1377⫥∨⫟⊺⇮3170)∼⊺⇮3108⨟⋌⩍⊺⇮4196)","cot":[{"info":"⊺⇮6043⨟⋌⩍⊺⇮1271=NaN","layer":3},{"info":"⊺⇮3656⫥∨⫟⊺⇮1178=NaN","layer":3},{"info":"NaN⨽NaN=NaN","layer":2},{"info":"NaN∧=NaN","layer":1},{"info":"⊺⇮8536⨪↰⇹⊺⇮1903=⊺⇮8536","layer":3},{"info":"⫓⪴⊺⇮8536=⊺⇮72863296","layer":2},{"info":"⊺⇮1377⫥∨⫟⊺⇮3170=NaN","layer":3},{"info":"⊺⇮3108⨟⋌⩍⊺⇮4196=NaN","layer":3},{"info":"NaN∼NaN=NaN","layer":2},{"info":"⊺⇮72863296↺NaN=NaN","layer":1},{"info":"NaN↙NaN=NaN","layer":0}]}
{"id":857,"expression_no_base_symbol":"(((⩦⩻⨪$7979$)⊭∹↮)⇼⇔∾($1788$+⇶⊼$4850$)⪮%⊝($5046$⊦⊿))∀⇚≩($1718$≭$5433$⊉≛↸($2947$%$3206$)+(⊥$4716$)⋝⋈⪟$2814$↬$5182$)","expression":"(((⩦⩻⨪⊺⇮7979)⊭∹↮)⇼⇔∾(⊺⇮1788+⇶⊼⊺⇮4850)⪮%⊝(⊺⇮5046⊦⊿))∀⇚≩(⊺⇮1718≭⊺⇮5433⊉≛↸(⊺⇮2947%⊺⇮3206)+(⊥⊺⇮4716)⋝⋈⪟⊺⇮2814↬⊺⇮5182)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":38,"operation_count":14,"complexity_ratio":2.7142857142857144,"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":7979,"base":10}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1788,"base":10},"right_expr":{"type":"numeric_atoms","value":4850,"base":10}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":5046,"base":10}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1718,"base":10},"right_expr":{"type":"numeric_atoms","value":5433,"base":10}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2947,"base":10},"right_expr":{"type":"numeric_atoms","value":3206,"base":10}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":4716,"base":10}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2814,"base":10},"right_expr":{"type":"numeric_atoms","value":5182,"base":10}}}}},"used_operators":["LRNGc0VcxI","tifHPKVTfV","xNBdhnnwKq","2td37pGCOC","IWmyXbctLI","TpPTUOHfaN","14qkJME0vr","W4YGzv6Whe","DZ8iAZOCBD","rxpJgHHUmx","k8jYdgA6NY","2DDjHMKMc0","Q3PJZHRvZv","B5M0gjZbta"],"dependent_operators":["X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7979","layer":4},{"info":"compute unary expreesion, input=7979, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=7979","layer":3},{"info":"compute unary expreesion, input=7979, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=15958","layer":2},{"info":"number node, value=1788","layer":4},{"info":"number node, value=4850","layer":4},{"info":"compute binary expreesion, left_input=1788, right_input=4850, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=5046","layer":4},{"info":"compute unary expreesion, input=5046, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-15217","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-15217, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=15958, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=1718","layer":4},{"info":"number node, value=5433","layer":4},{"info":"compute binary expreesion, left_input=1718, right_input=5433, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=2947","layer":4},{"info":"number node, value=3206","layer":4},{"info":"compute binary expreesion, left_input=2947, right_input=3206, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2947","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2947, 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=4716","layer":4},{"info":"compute unary expreesion, input=4716, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=2814","layer":4},{"info":"number node, value=5182","layer":4},{"info":"compute binary expreesion, left_input=2814, right_input=5182, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":10,"result_base":10,"text":"(((⩦⩻⨪⊺⇮7979)⊭∹↮)⇼⇔∾(⊺⇮1788+⇶⊼⊺⇮4850)⪮%⊝(⊺⇮5046⊦⊿))∀⇚≩(⊺⇮1718≭⊺⇮5433⊉≛↸(⊺⇮2947%⊺⇮3206)+(⊥⊺⇮4716)⋝⋈⪟⊺⇮2814↬⊺⇮5182)=NaN","reverse_text":"NaN=(((⩦⩻⨪⊺⇮7979)⊭∹↮)⇼⇔∾(⊺⇮1788+⇶⊼⊺⇮4850)⪮%⊝(⊺⇮5046⊦⊿))∀⇚≩(⊺⇮1718≭⊺⇮5433⊉≛↸(⊺⇮2947%⊺⇮3206)+(⊥⊺⇮4716)⋝⋈⪟⊺⇮2814↬⊺⇮5182)","cot":[{"info":"⩦⩻⨪⊺⇮7979=⊺⇮7979","layer":3},{"info":"⊺⇮7979⊭∹↮=⊺⇮15958","layer":2},{"info":"⊺⇮1788+⇶⊼⊺⇮4850=NaN","layer":3},{"info":"⊺⇮5046⊦⊿=⊺⇮-15217","layer":3},{"info":"NaN⪮%⊝⊺⇮-15217=NaN","layer":2},{"info":"⊺⇮15958⇼⇔∾NaN=NaN","layer":1},{"info":"⊺⇮1718≭⊺⇮5433=NaN","layer":3},{"info":"⊺⇮2947%⊺⇮3206=⊺⇮2947","layer":3},{"info":"NaN⊉≛↸⊺⇮2947=NaN","layer":2},{"info":"⊥⊺⇮4716=NaN","layer":3},{"info":"⊺⇮2814↬⊺⇮5182=NaN","layer":3},{"info":"NaN⋝⋈⪟NaN=NaN","layer":2},{"info":"NaN+NaN=NaN","layer":1},{"info":"NaN∀⇚≩NaN=NaN","layer":0}]}
{"id":858,"expression_no_base_symbol":"(⊄⩳↩($2318$⫥∨⫟$4327$⫸⊐(⫛⫱⨽$6197$)))⊘","expression":"(⊄⩳↩(⊺⇮2318⫥∨⫟⊺⇮4327⫸⊐(⫛⫱⨽⊺⇮6197)))⊘","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1604,"operation_count":5,"complexity_ratio":320.8,"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":2318,"base":10},"right_expr":{"type":"numeric_atoms","value":4327,"base":10}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":6197,"base":10}}}}},"used_operators":["gu96TGCTMs","8w2t5hMYqp","mqXw5SEYmG","KYD54nUTWz","DlLNRPXxWL"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","8HhzD0ZcuI","rGHVDoGpnC","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=2318","layer":4},{"info":"number node, value=4327","layer":4},{"info":"compute binary expreesion, left_input=2318, right_input=4327, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=6197","layer":4},{"info":"compute unary expreesion, input=6197, 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 = 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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊄⩳↩(⊺⇮2318⫥∨⫟⊺⇮4327⫸⊐(⫛⫱⨽⊺⇮6197)))⊘=NaN","reverse_text":"NaN=(⊄⩳↩(⊺⇮2318⫥∨⫟⊺⇮4327⫸⊐(⫛⫱⨽⊺⇮6197)))⊘","cot":[{"info":"⊺⇮2318⫥∨⫟⊺⇮4327=NaN","layer":3},{"info":"⫛⫱⨽⊺⇮6197=⊺⇮0","layer":3},{"info":"NaN⫸⊐⊺⇮0=NaN","layer":2},{"info":"⊄⩳↩NaN=NaN","layer":1},{"info":"NaN⊘=NaN","layer":0}]}
{"id":859,"expression_no_base_symbol":"(↣≠⋷($1518$⨪↰⇹$1099$↺(⪲⇎$4500$)))⋫","expression":"(↣≠⋷(⊺⇮1518⨪↰⇹⊺⇮1099↺(⪲⇎⊺⇮4500)))⋫","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1526,"operation_count":5,"complexity_ratio":305.2,"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":1518,"base":10},"right_expr":{"type":"numeric_atoms","value":1099,"base":10}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":4500,"base":10}}}}},"used_operators":["JL8yIekQnl","Asc51vEJeQ","7j4O788W3g","tmPS8pqC7x","XPYlsWDdGa"],"dependent_operators":["tmPS8pqC7x","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=1518","layer":4},{"info":"number node, value=1099","layer":4},{"info":"compute binary expreesion, left_input=1518, right_input=1099, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1518","layer":3},{"info":"number node, value=4500","layer":4},{"info":"compute unary expreesion, input=4500, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=9000","layer":3},{"info":"compute binary expreesion, left_input=1518, right_input=9000, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=9000","layer":2},{"info":"compute unary expreesion, input=9000, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍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":10,"result_base":10,"text":"(↣≠⋷(⊺⇮1518⨪↰⇹⊺⇮1099↺(⪲⇎⊺⇮4500)))⋫=NaN","reverse_text":"NaN=(↣≠⋷(⊺⇮1518⨪↰⇹⊺⇮1099↺(⪲⇎⊺⇮4500)))⋫","cot":[{"info":"⊺⇮1518⨪↰⇹⊺⇮1099=⊺⇮1518","layer":3},{"info":"⪲⇎⊺⇮4500=⊺⇮9000","layer":3},{"info":"⊺⇮1518↺⊺⇮9000=⊺⇮9000","layer":2},{"info":"↣≠⋷⊺⇮9000=NaN","layer":1},{"info":"NaN⋫=NaN","layer":0}]}
{"id":860,"expression_no_base_symbol":"(≦∁((↥$2702$)⋷$5788$⨽$2911$))+(⋗⩬⋾$1114$)⩚⊴⇥($1946$⨽$6557$)⊭↱($1985$∲⫓$1153$)⫸⊐($2753$⫡⨏$2418$)","expression":"(≦∁((↥⊺⇮2702)⋷⊺⇮5788⨽⊺⇮2911))+(⋗⩬⋾⊺⇮1114)⩚⊴⇥(⊺⇮1946⨽⊺⇮6557)⊭↱(⊺⇮1985∲⫓⊺⇮1153)⫸⊐(⊺⇮2753⫡⨏⊺⇮2418)","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":7859,"operation_count":12,"complexity_ratio":654.9166666666666,"tree":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2702,"base":10}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":5788,"base":10},"right_expr":{"type":"numeric_atoms","value":2911,"base":10}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1114,"base":10}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1946,"base":10},"right_expr":{"type":"numeric_atoms","value":6557,"base":10}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1985,"base":10},"right_expr":{"type":"numeric_atoms","value":1153,"base":10}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2753,"base":10},"right_expr":{"type":"numeric_atoms","value":2418,"base":10}}}}},"used_operators":["W4YGzv6Whe","9ICcGScMcE","23Mk6UjR3U","A8NUZmVepG","8HhzD0ZcuI","COABgblf1C","NTOWxs364D","DpFCA1CohY","mqXw5SEYmG","i8ToyICDmI","QMFrweE19q"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮-22764580","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2702","layer":4},{"info":"compute unary expreesion, input=2702, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=50","layer":3},{"info":"number node, value=5788","layer":4},{"info":"number node, value=2911","layer":4},{"info":"compute binary expreesion, left_input=5788, right_input=2911, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-100510251","layer":3},{"info":"compute binary expreesion, left_input=50, right_input=-100510251, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-100","layer":2},{"info":"compute unary expreesion, input=-100, 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=1114","layer":4},{"info":"compute unary expreesion, input=1114, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3342","layer":3},{"info":"number node, value=1946","layer":4},{"info":"number node, value=6557","layer":4},{"info":"compute binary expreesion, left_input=1946, right_input=6557, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-11379105","layer":3},{"info":"compute binary expreesion, left_input=-3342, right_input=-11379105, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=11382326","layer":2},{"info":"number node, value=1985","layer":4},{"info":"number node, value=1153","layer":4},{"info":"compute binary expreesion, left_input=1985, right_input=1153, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=2753","layer":4},{"info":"number node, value=2418","layer":4},{"info":"compute binary expreesion, left_input=2753, right_input=2418, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=19384","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=19384, 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=11382326, right_input=0, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-22764647","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-22764647, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-22764580","layer":0}],"base":10,"result_base":10,"text":"(≦∁((↥⊺⇮2702)⋷⊺⇮5788⨽⊺⇮2911))+(⋗⩬⋾⊺⇮1114)⩚⊴⇥(⊺⇮1946⨽⊺⇮6557)⊭↱(⊺⇮1985∲⫓⊺⇮1153)⫸⊐(⊺⇮2753⫡⨏⊺⇮2418)=⊺⇮-22764580","reverse_text":"⊺⇮-22764580=(≦∁((↥⊺⇮2702)⋷⊺⇮5788⨽⊺⇮2911))+(⋗⩬⋾⊺⇮1114)⩚⊴⇥(⊺⇮1946⨽⊺⇮6557)⊭↱(⊺⇮1985∲⫓⊺⇮1153)⫸⊐(⊺⇮2753⫡⨏⊺⇮2418)","cot":[{"info":"↥⊺⇮2702=⊺⇮50","layer":3},{"info":"⊺⇮5788⨽⊺⇮2911=⊺⇮-100510251","layer":3},{"info":"⊺⇮50⋷⊺⇮-100510251=⊺⇮-100","layer":2},{"info":"≦∁⊺⇮-100=⊺⇮67","layer":1},{"info":"⋗⩬⋾⊺⇮1114=⊺⇮-3342","layer":3},{"info":"⊺⇮1946⨽⊺⇮6557=⊺⇮-11379105","layer":3},{"info":"⊺⇮-3342⩚⊴⇥⊺⇮-11379105=⊺⇮11382326","layer":2},{"info":"⊺⇮1985∲⫓⊺⇮1153=⊺⇮0","layer":3},{"info":"⊺⇮2753⫡⨏⊺⇮2418=⊺⇮19384","layer":3},{"info":"⊺⇮0⫸⊐⊺⇮19384=⊺⇮0","layer":2},{"info":"⊺⇮11382326⊭↱⊺⇮0=⊺⇮-22764647","layer":1},{"info":"⊺⇮67+⊺⇮-22764647=⊺⇮-22764580","layer":0}]}
{"id":861,"expression_no_base_symbol":"(($2617$∀⇚≩$1422$)∼($7143$≋⫹)⩨(⩦⩻⨪($5053$∧)))+⇶⊼($1271$⊘)⊴(∥⊫$3134$)↬(($1964$⩨$1372$)⨐⩸⫘($5187$⩨$1316$))","expression":"((⊺⇮2617∀⇚≩⊺⇮1422)∼(⊺⇮7143≋⫹)⩨(⩦⩻⨪(⊺⇮5053∧)))+⇶⊼(⊺⇮1271⊘)⊴(∥⊫⊺⇮3134)↬((⊺⇮1964⩨⊺⇮1372)⨐⩸⫘(⊺⇮5187⩨⊺⇮1316))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":22380,"operation_count":14,"complexity_ratio":1598.5714285714287,"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":2617,"base":10},"right_expr":{"type":"numeric_atoms","value":1422,"base":10}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":7143,"base":10}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":5053,"base":10}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1271,"base":10}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":3134,"base":10}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1964,"base":10},"right_expr":{"type":"numeric_atoms","value":1372,"base":10}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":5187,"base":10},"right_expr":{"type":"numeric_atoms","value":1316,"base":10}}}}},"used_operators":["TpPTUOHfaN","2DlMacCsIx","DyGG3AbaNP","LRNGc0VcxI","N41Kp7NANJ","2td37pGCOC","z63VuFQld9","B5M0gjZbta","Nsiff2A1zJ","gu96TGCTMs","P8v4zCKN1o","fu6greOZ01"],"dependent_operators":["AHs5Up7iyr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rGHVDoGpnC","dWAJyo7jo9","14qkJME0vr","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2617","layer":4},{"info":"number node, value=1422","layer":4},{"info":"compute binary expreesion, left_input=2617, right_input=1422, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=7143","layer":4},{"info":"compute unary expreesion, input=7143, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-14286","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-14286, 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=5053","layer":4},{"info":"compute unary expreesion, input=5053, 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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"number node, value=1271","layer":4},{"info":"compute unary expreesion, input=1271, 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=3134","layer":4},{"info":"compute unary expreesion, input=3134, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4002","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4002, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=1964","layer":4},{"info":"number node, value=1372","layer":4},{"info":"compute binary expreesion, left_input=1964, right_input=1372, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=5187","layer":4},{"info":"number node, value=1316","layer":4},{"info":"compute binary expreesion, left_input=5187, right_input=1316, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=0","layer":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 = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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":10,"result_base":10,"text":"((⊺⇮2617∀⇚≩⊺⇮1422)∼(⊺⇮7143≋⫹)⩨(⩦⩻⨪(⊺⇮5053∧)))+⇶⊼(⊺⇮1271⊘)⊴(∥⊫⊺⇮3134)↬((⊺⇮1964⩨⊺⇮1372)⨐⩸⫘(⊺⇮5187⩨⊺⇮1316))=NaN","reverse_text":"NaN=((⊺⇮2617∀⇚≩⊺⇮1422)∼(⊺⇮7143≋⫹)⩨(⩦⩻⨪(⊺⇮5053∧)))+⇶⊼(⊺⇮1271⊘)⊴(∥⊫⊺⇮3134)↬((⊺⇮1964⩨⊺⇮1372)⨐⩸⫘(⊺⇮5187⩨⊺⇮1316))","cot":[{"info":"⊺⇮2617∀⇚≩⊺⇮1422=NaN","layer":3},{"info":"⊺⇮7143≋⫹=⊺⇮-14286","layer":3},{"info":"NaN∼⊺⇮-14286=NaN","layer":2},{"info":"⊺⇮5053∧=NaN","layer":3},{"info":"⩦⩻⨪NaN=NaN","layer":2},{"info":"NaN⩨NaN=NaN","layer":1},{"info":"⊺⇮1271⊘=⊺⇮0","layer":3},{"info":"∥⊫⊺⇮3134=⊺⇮4002","layer":3},{"info":"⊺⇮0⊴⊺⇮4002=NaN","layer":2},{"info":"⊺⇮1964⩨⊺⇮1372=⊺⇮0","layer":3},{"info":"⊺⇮5187⩨⊺⇮1316=⊺⇮0","layer":3},{"info":"⊺⇮0⨐⩸⫘⊺⇮0=⊺⇮0","layer":2},{"info":"NaN↬⊺⇮0=NaN","layer":1},{"info":"NaN+⇶⊼NaN=NaN","layer":0}]}
{"id":862,"expression_no_base_symbol":"($1126$⨟⋌⩍$3608$≦≮≮)≧⫂∧($2132$⩷∴$3459$)⨪↰⇹($6939$/$2842$)⪄(≦∁($3356$⫸⊐$2804$)⋓($2689$⪐))","expression":"(⊺⇮1126⨟⋌⩍⊺⇮3608≦≮≮)≧⫂∧(⊺⇮2132⩷∴⊺⇮3459)⨪↰⇹(⊺⇮6939/⊺⇮2842)⪄(≦∁(⊺⇮3356⫸⊐⊺⇮2804)⋓(⊺⇮2689⪐))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2788,"operation_count":11,"complexity_ratio":253.45454545454547,"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":1126,"base":10},"right_expr":{"type":"numeric_atoms","value":3608,"base":10}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2132,"base":10},"right_expr":{"type":"numeric_atoms","value":3459,"base":10}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":6939,"base":10},"right_expr":{"type":"numeric_atoms","value":2842,"base":10}}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3356,"base":10},"right_expr":{"type":"numeric_atoms","value":2804,"base":10}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":2689,"base":10}}}}},"used_operators":["SUmda5xLS4","Ph9nP6C5qx","D4vGDi5EA2","rGHVDoGpnC","tmPS8pqC7x","9FxExcQeMw","XhwjNDsVaA","9ICcGScMcE","T2fj7uvVaJ","mqXw5SEYmG","eH2TOUuTDT"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","rJVOvQCfKK","rysDP5nf3Z","rysDP5nf3Z","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮3979","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1126","layer":4},{"info":"number node, value=3608","layer":4},{"info":"compute binary expreesion, left_input=1126, right_input=3608, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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":"number node, value=2132","layer":4},{"info":"number node, value=3459","layer":4},{"info":"compute binary expreesion, left_input=2132, right_input=3459, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2686","layer":3},{"info":"number node, value=6939","layer":4},{"info":"number node, value=2842","layer":4},{"info":"compute binary expreesion, left_input=6939, right_input=2842, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"compute binary expreesion, left_input=-2686, 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=-2686","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2686, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":1},{"info":"number node, value=3356","layer":4},{"info":"number node, value=2804","layer":4},{"info":"compute binary expreesion, left_input=3356, right_input=2804, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=11091","layer":3},{"info":"number node, value=2689","layer":4},{"info":"compute unary expreesion, input=2689, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=5378","layer":3},{"info":"compute binary expreesion, left_input=11091, right_input=5378, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-320","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-320, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1126⨟⋌⩍⊺⇮3608≦≮≮)≧⫂∧(⊺⇮2132⩷∴⊺⇮3459)⨪↰⇹(⊺⇮6939/⊺⇮2842)⪄(≦∁(⊺⇮3356⫸⊐⊺⇮2804)⋓(⊺⇮2689⪐))=⊺⇮3979","reverse_text":"⊺⇮3979=(⊺⇮1126⨟⋌⩍⊺⇮3608≦≮≮)≧⫂∧(⊺⇮2132⩷∴⊺⇮3459)⨪↰⇹(⊺⇮6939/⊺⇮2842)⪄(≦∁(⊺⇮3356⫸⊐⊺⇮2804)⋓(⊺⇮2689⪐))","cot":[{"info":"⊺⇮1126⨟⋌⩍⊺⇮3608=NaN","layer":3},{"info":"NaN≦≮≮=NaN","layer":2},{"info":"⊺⇮2132⩷∴⊺⇮3459=⊺⇮-2686","layer":3},{"info":"⊺⇮6939/⊺⇮2842=⊺⇮2","layer":3},{"info":"⊺⇮-2686⨪↰⇹⊺⇮2=⊺⇮-2686","layer":2},{"info":"NaN≧⫂∧⊺⇮-2686=NaN","layer":1},{"info":"⊺⇮3356⫸⊐⊺⇮2804=⊺⇮11091","layer":3},{"info":"⊺⇮2689⪐=⊺⇮5378","layer":3},{"info":"⊺⇮11091⋓⊺⇮5378=⊺⇮0","layer":2},{"info":"≦∁⊺⇮0=⊺⇮-320","layer":1},{"info":"NaN⪄⊺⇮-320=⊺⇮3979","layer":0}]}
{"id":863,"expression_no_base_symbol":"((↣≠⋷(≤/$8557$))↺($1841$⨪↰⇹$5908$⪒$1735$⊉≛↸$3713$))≦≮≮","expression":"((↣≠⋷(≤/⊺⇮8557))↺(⊺⇮1841⨪↰⇹⊺⇮5908⪒⊺⇮1735⊉≛↸⊺⇮3713))≦≮≮","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1855,"operation_count":7,"complexity_ratio":265.0,"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":8557,"base":10}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1841,"base":10},"right_expr":{"type":"numeric_atoms","value":5908,"base":10}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1735,"base":10},"right_expr":{"type":"numeric_atoms","value":3713,"base":10}}}}},"used_operators":["D4vGDi5EA2","7j4O788W3g","Asc51vEJeQ","eLAdDNolq6","f6k1SAg4EE","tmPS8pqC7x","DZ8iAZOCBD"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮15933","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=8557","layer":4},{"info":"compute unary expreesion, input=8557, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-8073","layer":3},{"info":"compute unary expreesion, input=-8073, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=1841","layer":4},{"info":"number node, value=5908","layer":4},{"info":"compute binary expreesion, left_input=1841, right_input=5908, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1841","layer":3},{"info":"number node, value=1735","layer":4},{"info":"number node, value=3713","layer":4},{"info":"compute binary expreesion, left_input=1735, right_input=3713, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3470","layer":3},{"info":"compute binary expreesion, left_input=1841, right_input=3470, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5311","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-5311, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-5311","layer":1},{"info":"compute unary expreesion, input=-5311, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=15933","layer":0}],"base":10,"result_base":10,"text":"((↣≠⋷(≤/⊺⇮8557))↺(⊺⇮1841⨪↰⇹⊺⇮5908⪒⊺⇮1735⊉≛↸⊺⇮3713))≦≮≮=⊺⇮15933","reverse_text":"⊺⇮15933=((↣≠⋷(≤/⊺⇮8557))↺(⊺⇮1841⨪↰⇹⊺⇮5908⪒⊺⇮1735⊉≛↸⊺⇮3713))≦≮≮","cot":[{"info":"≤/⊺⇮8557=⊺⇮-8073","layer":3},{"info":"↣≠⋷⊺⇮-8073=NaN","layer":2},{"info":"⊺⇮1841⨪↰⇹⊺⇮5908=⊺⇮1841","layer":3},{"info":"⊺⇮1735⊉≛↸⊺⇮3713=⊺⇮3470","layer":3},{"info":"⊺⇮1841⪒⊺⇮3470=⊺⇮-5311","layer":2},{"info":"NaN↺⊺⇮-5311=⊺⇮-5311","layer":1},{"info":"⊺⇮-5311≦≮≮=⊺⇮15933","layer":0}]}
{"id":864,"expression_no_base_symbol":"(($3643$⫡⨏$1852$)⇷($4861$∲⫓$3398$)⪠⩆⊳)⨰(($7815$⨳⩥⨓$1083$)≭$1350$↬$6059$⨵⪆$2263$≎⊠⪸$1000$⪄($3068$/$3039$))","expression":"((⊺⇮3643⫡⨏⊺⇮1852)⇷(⊺⇮4861∲⫓⊺⇮3398)⪠⩆⊳)⨰((⊺⇮7815⨳⩥⨓⊺⇮1083)≭⊺⇮1350↬⊺⇮6059⨵⪆⊺⇮2263≎⊠⪸⊺⇮1000⪄(⊺⇮3068/⊺⇮3039))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":318227,"operation_count":12,"complexity_ratio":26518.916666666668,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3643,"base":10},"right_expr":{"type":"numeric_atoms","value":1852,"base":10}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4861,"base":10},"right_expr":{"type":"numeric_atoms","value":3398,"base":10}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":7815,"base":10},"right_expr":{"type":"numeric_atoms","value":1083,"base":10}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1350,"base":10},"right_expr":{"type":"numeric_atoms","value":6059,"base":10}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2263,"base":10},"right_expr":{"type":"numeric_atoms","value":1000,"base":10}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3068,"base":10},"right_expr":{"type":"numeric_atoms","value":3039,"base":10}}}}},"used_operators":["eewbuw0ToL","JLbD19bQDL","mp7IySMOzn","QMFrweE19q","i8ToyICDmI","2DQ55sFlQl","rxpJgHHUmx","nCS4ZIUYfx","B5M0gjZbta","SUmda5xLS4","bJkvcejdHO","XhwjNDsVaA"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z"],"result":"⊺⇮-150","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3643","layer":4},{"info":"number node, value=1852","layer":4},{"info":"compute binary expreesion, left_input=3643, right_input=1852, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=22702","layer":3},{"info":"number node, value=4861","layer":4},{"info":"number node, value=3398","layer":4},{"info":"compute binary expreesion, left_input=4861, right_input=3398, 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=22702, right_input=0, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 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=7815","layer":4},{"info":"number node, value=1083","layer":4},{"info":"compute binary expreesion, left_input=7815, right_input=1083, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-6732","layer":3},{"info":"number node, value=1350","layer":4},{"info":"number node, value=6059","layer":4},{"info":"compute binary expreesion, left_input=1350, right_input=6059, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=-6732, 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=2263","layer":4},{"info":"number node, value=1000","layer":4},{"info":"compute binary expreesion, left_input=2263, right_input=1000, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=585644","layer":3},{"info":"number node, value=3068","layer":4},{"info":"number node, value=3039","layer":4},{"info":"compute binary expreesion, left_input=3068, right_input=3039, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=585644, right_input=1, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-86671405","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-86671405, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=160, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-150","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮3643⫡⨏⊺⇮1852)⇷(⊺⇮4861∲⫓⊺⇮3398)⪠⩆⊳)⨰((⊺⇮7815⨳⩥⨓⊺⇮1083)≭⊺⇮1350↬⊺⇮6059⨵⪆⊺⇮2263≎⊠⪸⊺⇮1000⪄(⊺⇮3068/⊺⇮3039))=⊺⇮-150","reverse_text":"⊺⇮-150=((⊺⇮3643⫡⨏⊺⇮1852)⇷(⊺⇮4861∲⫓⊺⇮3398)⪠⩆⊳)⨰((⊺⇮7815⨳⩥⨓⊺⇮1083)≭⊺⇮1350↬⊺⇮6059⨵⪆⊺⇮2263≎⊠⪸⊺⇮1000⪄(⊺⇮3068/⊺⇮3039))","cot":[{"info":"⊺⇮3643⫡⨏⊺⇮1852=⊺⇮22702","layer":3},{"info":"⊺⇮4861∲⫓⊺⇮3398=⊺⇮0","layer":3},{"info":"⊺⇮22702⇷⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮0⪠⩆⊳=⊺⇮0","layer":1},{"info":"⊺⇮7815⨳⩥⨓⊺⇮1083=⊺⇮-6732","layer":3},{"info":"⊺⇮1350↬⊺⇮6059=NaN","layer":3},{"info":"⊺⇮-6732≭NaN=NaN","layer":2},{"info":"⊺⇮2263≎⊠⪸⊺⇮1000=⊺⇮585644","layer":3},{"info":"⊺⇮3068/⊺⇮3039=⊺⇮1","layer":3},{"info":"⊺⇮585644⪄⊺⇮1=⊺⇮-86671405","layer":2},{"info":"NaN⨵⪆⊺⇮-86671405=⊺⇮160","layer":1},{"info":"⊺⇮0⨰⊺⇮160=⊺⇮-150","layer":0}]}
{"id":865,"expression_no_base_symbol":"($3483$⊴$9011$⪨≂$6795$⩨$2980$)⊉≛↸($2759$↺$1410$)⨟⋌⩍($4276$⨐⩸⫘$1940$)↪⪝","expression":"(⊺⇮3483⊴⊺⇮9011⪨≂⊺⇮6795⩨⊺⇮2980)⊉≛↸(⊺⇮2759↺⊺⇮1410)⨟⋌⩍(⊺⇮4276⨐⩸⫘⊺⇮1940)↪⪝","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":9037,"operation_count":8,"complexity_ratio":1129.625,"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":3483,"base":10},"right_expr":{"type":"numeric_atoms","value":9011,"base":10}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":6795,"base":10},"right_expr":{"type":"numeric_atoms","value":2980,"base":10}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2759,"base":10},"right_expr":{"type":"numeric_atoms","value":1410,"base":10}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4276,"base":10},"right_expr":{"type":"numeric_atoms","value":1940,"base":10}}}}},"used_operators":["l07mrZUIn9","DZ8iAZOCBD","sdazOOVcIp","Nsiff2A1zJ","2DlMacCsIx","rGHVDoGpnC","7j4O788W3g","fu6greOZ01"],"dependent_operators":["9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=3483","layer":4},{"info":"number node, value=9011","layer":4},{"info":"compute binary expreesion, left_input=3483, right_input=9011, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=6795","layer":4},{"info":"number node, value=2980","layer":4},{"info":"compute binary expreesion, left_input=6795, right_input=2980, 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 = 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=2759","layer":4},{"info":"number node, value=1410","layer":4},{"info":"compute binary expreesion, left_input=2759, right_input=1410, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1410","layer":3},{"info":"number node, value=4276","layer":4},{"info":"number node, value=1940","layer":4},{"info":"compute binary expreesion, left_input=4276, right_input=1940, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=1410, 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 = 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 = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮3483⊴⊺⇮9011⪨≂⊺⇮6795⩨⊺⇮2980)⊉≛↸(⊺⇮2759↺⊺⇮1410)⨟⋌⩍(⊺⇮4276⨐⩸⫘⊺⇮1940)↪⪝=NaN","reverse_text":"NaN=(⊺⇮3483⊴⊺⇮9011⪨≂⊺⇮6795⩨⊺⇮2980)⊉≛↸(⊺⇮2759↺⊺⇮1410)⨟⋌⩍(⊺⇮4276⨐⩸⫘⊺⇮1940)↪⪝","cot":[{"info":"⊺⇮3483⊴⊺⇮9011=NaN","layer":3},{"info":"⊺⇮6795⩨⊺⇮2980=⊺⇮0","layer":3},{"info":"NaN⪨≂⊺⇮0=NaN","layer":2},{"info":"⊺⇮2759↺⊺⇮1410=⊺⇮1410","layer":3},{"info":"⊺⇮4276⨐⩸⫘⊺⇮1940=NaN","layer":3},{"info":"⊺⇮1410⨟⋌⩍NaN=NaN","layer":2},{"info":"NaN⊉≛↸NaN=NaN","layer":1},{"info":"NaN↪⪝=NaN","layer":0}]}
{"id":866,"expression_no_base_symbol":"(≦∁$1265$)⨰($7049$⇼⇔∾$2229$)⩚⊴⇥($6418$⩚⊴⇥$1392$≎⊠⪸(⫛⫱⨽$4902$))+⇶⊼(⨵≀≌(+⊝⨔($3532$⪨≂$1224$)))","expression":"(≦∁⊺⇮1265)⨰(⊺⇮7049⇼⇔∾⊺⇮2229)⩚⊴⇥(⊺⇮6418⩚⊴⇥⊺⇮1392≎⊠⪸(⫛⫱⨽⊺⇮4902))+⇶⊼(⨵≀≌(+⊝⨔(⊺⇮3532⪨≂⊺⇮1224)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1757,"operation_count":11,"complexity_ratio":159.72727272727272,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1265,"base":10}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":7049,"base":10},"right_expr":{"type":"numeric_atoms","value":2229,"base":10}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":6418,"base":10},"right_expr":{"type":"numeric_atoms","value":1392,"base":10}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":4902,"base":10}}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3532,"base":10},"right_expr":{"type":"numeric_atoms","value":1224,"base":10}}}}},"used_operators":["TpPTUOHfaN","NTOWxs364D","eewbuw0ToL","9ICcGScMcE","tifHPKVTfV","bJkvcejdHO","DlLNRPXxWL","srAu1WTS94","DhbWaqg5eL","sdazOOVcIp"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rGHVDoGpnC","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1265","layer":4},{"info":"compute unary expreesion, input=1265, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1265","layer":3},{"info":"number node, value=7049","layer":4},{"info":"number node, value=2229","layer":4},{"info":"compute binary expreesion, left_input=7049, right_input=2229, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-4820","layer":3},{"info":"compute binary expreesion, left_input=1265, right_input=-4820, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=6095","layer":2},{"info":"number node, value=6418","layer":4},{"info":"number node, value=1392","layer":4},{"info":"compute binary expreesion, left_input=6418, right_input=1392, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7931","layer":3},{"info":"number node, value=4902","layer":4},{"info":"compute unary expreesion, input=4902, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-7931, right_input=0, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=2054129","layer":2},{"info":"compute binary expreesion, left_input=6095, right_input=2054129, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2060345","layer":1},{"info":"number node, value=3532","layer":4},{"info":"number node, value=1224","layer":4},{"info":"compute binary expreesion, left_input=3532, right_input=1224, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=4718","layer":3},{"info":"compute unary expreesion, input=4718, 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 = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-4566","layer":1},{"info":"compute binary expreesion, left_input=-2060345, right_input=-4566, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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":10,"result_base":10,"text":"(≦∁⊺⇮1265)⨰(⊺⇮7049⇼⇔∾⊺⇮2229)⩚⊴⇥(⊺⇮6418⩚⊴⇥⊺⇮1392≎⊠⪸(⫛⫱⨽⊺⇮4902))+⇶⊼(⨵≀≌(+⊝⨔(⊺⇮3532⪨≂⊺⇮1224)))=NaN","reverse_text":"NaN=(≦∁⊺⇮1265)⨰(⊺⇮7049⇼⇔∾⊺⇮2229)⩚⊴⇥(⊺⇮6418⩚⊴⇥⊺⇮1392≎⊠⪸(⫛⫱⨽⊺⇮4902))+⇶⊼(⨵≀≌(+⊝⨔(⊺⇮3532⪨≂⊺⇮1224)))","cot":[{"info":"≦∁⊺⇮1265=⊺⇮1265","layer":3},{"info":"⊺⇮7049⇼⇔∾⊺⇮2229=⊺⇮-4820","layer":3},{"info":"⊺⇮1265⨰⊺⇮-4820=⊺⇮6095","layer":2},{"info":"⊺⇮6418⩚⊴⇥⊺⇮1392=⊺⇮-7931","layer":3},{"info":"⫛⫱⨽⊺⇮4902=⊺⇮0","layer":3},{"info":"⊺⇮-7931≎⊠⪸⊺⇮0=⊺⇮2054129","layer":2},{"info":"⊺⇮6095⩚⊴⇥⊺⇮2054129=⊺⇮-2060345","layer":1},{"info":"⊺⇮3532⪨≂⊺⇮1224=⊺⇮4718","layer":3},{"info":"+⊝⨔⊺⇮4718=⊺⇮1522","layer":2},{"info":"⨵≀≌⊺⇮1522=⊺⇮-4566","layer":1},{"info":"⊺⇮-2060345+⇶⊼⊺⇮-4566=NaN","layer":0}]}
{"id":867,"expression_no_base_symbol":"(⫛⫱⨽(($1667$↺$6964$)⨰$7126$∼$5236$))⋓((⊙↵-($6539$≭$5644$))⋥≓≎(($1494$⋷$1128$)⇋≉))","expression":"(⫛⫱⨽((⊺⇮1667↺⊺⇮6964)⨰⊺⇮7126∼⊺⇮5236))⋓((⊙↵-(⊺⇮6539≭⊺⇮5644))⋥≓≎((⊺⇮1494⋷⊺⇮1128)⇋≉))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1110,"operation_count":10,"complexity_ratio":111.0,"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":1667,"base":10},"right_expr":{"type":"numeric_atoms","value":6964,"base":10}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":7126,"base":10},"right_expr":{"type":"numeric_atoms","value":5236,"base":10}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":6539,"base":10},"right_expr":{"type":"numeric_atoms","value":5644,"base":10}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1494,"base":10},"right_expr":{"type":"numeric_atoms","value":1128,"base":10}}}}},"used_operators":["T2fj7uvVaJ","DlLNRPXxWL","eewbuw0ToL","7j4O788W3g","DyGG3AbaNP","Qy55tPpLXF","oWn0xqSxBt","rxpJgHHUmx","XIabStNQrY","23Mk6UjR3U"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1667","layer":4},{"info":"number node, value=6964","layer":4},{"info":"compute binary expreesion, left_input=1667, right_input=6964, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=6964","layer":3},{"info":"number node, value=7126","layer":4},{"info":"number node, value=5236","layer":4},{"info":"compute binary expreesion, left_input=7126, right_input=5236, 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=6964, 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 = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":1},{"info":"number node, value=6539","layer":4},{"info":"number node, value=5644","layer":4},{"info":"compute binary expreesion, left_input=6539, right_input=5644, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":2},{"info":"number node, value=1494","layer":4},{"info":"number node, value=1128","layer":4},{"info":"compute binary expreesion, left_input=1494, right_input=1128, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=762","layer":3},{"info":"compute unary expreesion, input=762, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=1426","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1426, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":0}],"base":10,"result_base":10,"text":"(⫛⫱⨽((⊺⇮1667↺⊺⇮6964)⨰⊺⇮7126∼⊺⇮5236))⋓((⊙↵-(⊺⇮6539≭⊺⇮5644))⋥≓≎((⊺⇮1494⋷⊺⇮1128)⇋≉))=⊺⇮0","reverse_text":"⊺⇮0=(⫛⫱⨽((⊺⇮1667↺⊺⇮6964)⨰⊺⇮7126∼⊺⇮5236))⋓((⊙↵-(⊺⇮6539≭⊺⇮5644))⋥≓≎((⊺⇮1494⋷⊺⇮1128)⇋≉))","cot":[{"info":"⊺⇮1667↺⊺⇮6964=⊺⇮6964","layer":3},{"info":"⊺⇮7126∼⊺⇮5236=NaN","layer":3},{"info":"⊺⇮6964⨰NaN=NaN","layer":2},{"info":"⫛⫱⨽NaN=NaN","layer":1},{"info":"⊺⇮6539≭⊺⇮5644=NaN","layer":3},{"info":"⊙↵-NaN=NaN","layer":2},{"info":"⊺⇮1494⋷⊺⇮1128=⊺⇮762","layer":3},{"info":"⊺⇮762⇋≉=⊺⇮1426","layer":2},{"info":"NaN⋥≓≎⊺⇮1426=⊺⇮67","layer":1},{"info":"NaN⋓⊺⇮67=⊺⇮0","layer":0}]}
{"id":868,"expression_no_base_symbol":"(((↥$1000$)↺($2416$⨵⪆$1227$))⨁⊸⫻)↬((⨑⩽⪐$1723$)⇷($7027$⋷$1032$)%(⨵≀≌(⫓⪴$2128$)))","expression":"(((↥⊺⇮1000)↺(⊺⇮2416⨵⪆⊺⇮1227))⨁⊸⫻)↬((⨑⩽⪐⊺⇮1723)⇷(⊺⇮7027⋷⊺⇮1032)%(⨵≀≌(⫓⪴⊺⇮2128)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":22471,"operation_count":11,"complexity_ratio":2042.8181818181818,"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":1000,"base":10}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2416,"base":10},"right_expr":{"type":"numeric_atoms","value":1227,"base":10}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1723,"base":10}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":7027,"base":10},"right_expr":{"type":"numeric_atoms","value":1032,"base":10}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2128,"base":10}}}}},"used_operators":["B5M0gjZbta","glklzrTFfD","7j4O788W3g","A8NUZmVepG","2DQ55sFlQl","k8jYdgA6NY","mp7IySMOzn","AF7qkfDlqP","23Mk6UjR3U","srAu1WTS94","eLxqMNBOBk"],"dependent_operators":["rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1000","layer":4},{"info":"compute unary expreesion, input=1000, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=31","layer":3},{"info":"number node, value=2416","layer":4},{"info":"number node, value=1227","layer":4},{"info":"compute binary expreesion, left_input=2416, right_input=1227, 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=31, right_input=160, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=160","layer":1},{"info":"number node, value=1723","layer":4},{"info":"compute unary expreesion, input=1723, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1450","layer":3},{"info":"number node, value=7027","layer":4},{"info":"number node, value=1032","layer":4},{"info":"compute binary expreesion, left_input=7027, right_input=1032, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-4963","layer":3},{"info":"compute binary expreesion, left_input=-1450, right_input=-4963, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', 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":"compute unary expreesion, input=4528384, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-13585152","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-13585152, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((↥⊺⇮1000)↺(⊺⇮2416⨵⪆⊺⇮1227))⨁⊸⫻)↬((⨑⩽⪐⊺⇮1723)⇷(⊺⇮7027⋷⊺⇮1032)%(⨵≀≌(⫓⪴⊺⇮2128)))=NaN","reverse_text":"NaN=(((↥⊺⇮1000)↺(⊺⇮2416⨵⪆⊺⇮1227))⨁⊸⫻)↬((⨑⩽⪐⊺⇮1723)⇷(⊺⇮7027⋷⊺⇮1032)%(⨵≀≌(⫓⪴⊺⇮2128)))","cot":[{"info":"↥⊺⇮1000=⊺⇮31","layer":3},{"info":"⊺⇮2416⨵⪆⊺⇮1227=⊺⇮160","layer":3},{"info":"⊺⇮31↺⊺⇮160=⊺⇮160","layer":2},{"info":"⊺⇮160⨁⊸⫻=⊺⇮160","layer":1},{"info":"⨑⩽⪐⊺⇮1723=⊺⇮-1450","layer":3},{"info":"⊺⇮7027⋷⊺⇮1032=⊺⇮-4963","layer":3},{"info":"⊺⇮-1450⇷⊺⇮-4963=NaN","layer":2},{"info":"⫓⪴⊺⇮2128=⊺⇮4528384","layer":3},{"info":"⨵≀≌⊺⇮4528384=⊺⇮-13585152","layer":2},{"info":"NaN%⊺⇮-13585152=NaN","layer":1},{"info":"⊺⇮160↬NaN=NaN","layer":0}]}
{"id":869,"expression_no_base_symbol":"↩(⪝⪂⫅$1371$≹⇙⪍$2055$)+⇶⊼(($2003$≫≃)+$1359$⨎$3558$)","expression":"↩(⪝⪂⫅⊺⇮1371≹⇙⪍⊺⇮2055)+⇶⊼((⊺⇮2003≫≃)+⊺⇮1359⨎⊺⇮3558)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":34,"operation_count":7,"complexity_ratio":4.857142857142857,"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":1371,"base":10},"right_expr":{"type":"numeric_atoms","value":2055,"base":10}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":2003,"base":10}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1359,"base":10},"right_expr":{"type":"numeric_atoms","value":3558,"base":10}}}}},"used_operators":["jLgFTUHLKL","TpPTUOHfaN","XTarYq4gQB","AHs5Up7iyr","W4YGzv6Whe","X99M06cbEe","rJVOvQCfKK"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","AHs5Up7iyr","9HNa5Wba9A","8w2t5hMYqp","dWAJyo7jo9","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=1371","layer":4},{"info":"number node, value=2055","layer":4},{"info":"compute binary expreesion, left_input=1371, right_input=2055, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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 = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":2},{"info":"number node, value=2003","layer":4},{"info":"compute unary expreesion, input=2003, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=5407","layer":3},{"info":"number node, value=1359","layer":4},{"info":"number node, value=3558","layer":4},{"info":"compute binary expreesion, left_input=1359, right_input=3558, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3558","layer":3},{"info":"compute binary expreesion, left_input=5407, right_input=3558, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8965","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=8965, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"↩(⪝⪂⫅⊺⇮1371≹⇙⪍⊺⇮2055)+⇶⊼((⊺⇮2003≫≃)+⊺⇮1359⨎⊺⇮3558)=NaN","reverse_text":"NaN=↩(⪝⪂⫅⊺⇮1371≹⇙⪍⊺⇮2055)+⇶⊼((⊺⇮2003≫≃)+⊺⇮1359⨎⊺⇮3558)","cot":[{"info":"⊺⇮1371≹⇙⪍⊺⇮2055=NaN","layer":3},{"info":"⪝⪂⫅NaN=NaN","layer":2},{"info":"⊺⇮2003≫≃=⊺⇮5407","layer":3},{"info":"⊺⇮1359⨎⊺⇮3558=⊺⇮3558","layer":3},{"info":"⊺⇮5407+⊺⇮3558=⊺⇮8965","layer":2},{"info":"NaN+⇶⊼⊺⇮8965=NaN","layer":1},{"info":"↩NaN=NaN","layer":0}]}
{"id":870,"expression_no_base_symbol":"(-(⨑⩽⪐$1197$))⊴((⨵≀≌$6026$)⊭↱(⫛⫱⨽$1106$))⨎(∥⊫($2759$⊪)∼(⨈⫕$1108$))","expression":"(-(⨑⩽⪐⊺⇮1197))⊴((⨵≀≌⊺⇮6026)⊭↱(⫛⫱⨽⊺⇮1106))⨎(∥⊫(⊺⇮2759⊪)∼(⨈⫕⊺⇮1108))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":38132,"operation_count":11,"complexity_ratio":3466.5454545454545,"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":1197,"base":10}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":6026,"base":10}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1106,"base":10}}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":2759,"base":10}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1108,"base":10}}}}},"used_operators":["rJVOvQCfKK","Nsiff2A1zJ","t8gj7n24qd","AF7qkfDlqP","COABgblf1C","srAu1WTS94","DlLNRPXxWL","P8v4zCKN1o","DyGG3AbaNP","zVYPLywUTj","megm06wKyl"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"⊺⇮868","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1197","layer":4},{"info":"compute unary expreesion, input=1197, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-924","layer":3},{"info":"compute unary expreesion, input=-924, op_id = t8gj7n24qd, unary_op_definition = 'None', output=924","layer":2},{"info":"number node, value=6026","layer":4},{"info":"compute unary expreesion, input=6026, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-18078","layer":3},{"info":"number node, value=1106","layer":4},{"info":"compute unary expreesion, input=1106, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-18078, right_input=0, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=36161","layer":2},{"info":"compute binary expreesion, left_input=924, right_input=36161, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=2759","layer":4},{"info":"compute unary expreesion, input=2759, 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=1108","layer":4},{"info":"compute unary expreesion, input=1108, 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 = 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 = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=868","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=868, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=868","layer":0}],"base":10,"result_base":10,"text":"(-(⨑⩽⪐⊺⇮1197))⊴((⨵≀≌⊺⇮6026)⊭↱(⫛⫱⨽⊺⇮1106))⨎(∥⊫(⊺⇮2759⊪)∼(⨈⫕⊺⇮1108))=⊺⇮868","reverse_text":"⊺⇮868=(-(⨑⩽⪐⊺⇮1197))⊴((⨵≀≌⊺⇮6026)⊭↱(⫛⫱⨽⊺⇮1106))⨎(∥⊫(⊺⇮2759⊪)∼(⨈⫕⊺⇮1108))","cot":[{"info":"⨑⩽⪐⊺⇮1197=⊺⇮-924","layer":3},{"info":"-⊺⇮-924=⊺⇮924","layer":2},{"info":"⨵≀≌⊺⇮6026=⊺⇮-18078","layer":3},{"info":"⫛⫱⨽⊺⇮1106=⊺⇮0","layer":3},{"info":"⊺⇮-18078⊭↱⊺⇮0=⊺⇮36161","layer":2},{"info":"⊺⇮924⊴⊺⇮36161=NaN","layer":1},{"info":"⊺⇮2759⊪=⊺⇮0","layer":3},{"info":"⨈⫕⊺⇮1108=⊺⇮-21","layer":3},{"info":"⊺⇮0∼⊺⇮-21=⊺⇮0","layer":2},{"info":"∥⊫⊺⇮0=⊺⇮868","layer":1},{"info":"NaN⨎⊺⇮868=⊺⇮868","layer":0}]}
{"id":871,"expression_no_base_symbol":"⫛⫱⨽(($5962$⨎$1459$⊭↱(⨵≀≌$8123$))∀⇚≩(($1108$⋷$2398$)≋⫹))","expression":"⫛⫱⨽((⊺⇮5962⨎⊺⇮1459⊭↱(⨵≀≌⊺⇮8123))∀⇚≩((⊺⇮1108⋷⊺⇮2398)≋⫹))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":362485,"operation_count":7,"complexity_ratio":51783.57142857143,"tree":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5962,"base":10},"right_expr":{"type":"numeric_atoms","value":1459,"base":10}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":8123,"base":10}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1108,"base":10},"right_expr":{"type":"numeric_atoms","value":2398,"base":10}}}}},"used_operators":["DlLNRPXxWL","LRNGc0VcxI","COABgblf1C","rJVOvQCfKK","srAu1WTS94","N41Kp7NANJ","23Mk6UjR3U"],"dependent_operators":["rGHVDoGpnC","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5962","layer":4},{"info":"number node, value=1459","layer":4},{"info":"compute binary expreesion, left_input=5962, right_input=1459, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1459","layer":3},{"info":"number node, value=8123","layer":4},{"info":"compute unary expreesion, input=8123, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-24369","layer":3},{"info":"compute binary expreesion, left_input=1459, right_input=-24369, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-51651","layer":2},{"info":"number node, value=1108","layer":4},{"info":"number node, value=2398","layer":4},{"info":"compute binary expreesion, left_input=1108, right_input=2398, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3688","layer":3},{"info":"compute unary expreesion, input=3688, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-7376","layer":2},{"info":"compute binary expreesion, left_input=-51651, right_input=-7376, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⫛⫱⨽((⊺⇮5962⨎⊺⇮1459⊭↱(⨵≀≌⊺⇮8123))∀⇚≩((⊺⇮1108⋷⊺⇮2398)≋⫹))=NaN","reverse_text":"NaN=⫛⫱⨽((⊺⇮5962⨎⊺⇮1459⊭↱(⨵≀≌⊺⇮8123))∀⇚≩((⊺⇮1108⋷⊺⇮2398)≋⫹))","cot":[{"info":"⊺⇮5962⨎⊺⇮1459=⊺⇮1459","layer":3},{"info":"⨵≀≌⊺⇮8123=⊺⇮-24369","layer":3},{"info":"⊺⇮1459⊭↱⊺⇮-24369=⊺⇮-51651","layer":2},{"info":"⊺⇮1108⋷⊺⇮2398=⊺⇮3688","layer":3},{"info":"⊺⇮3688≋⫹=⊺⇮-7376","layer":2},{"info":"⊺⇮-51651∀⇚≩⊺⇮-7376=NaN","layer":1},{"info":"⫛⫱⨽NaN=NaN","layer":0}]}
{"id":872,"expression_no_base_symbol":"(⋗⩬⋾(⪲⇎$1344$≧⫂∧$1990$))⪘⫢(⇁⨣⪵((↔$1786$)⩠))","expression":"(⋗⩬⋾(⪲⇎⊺⇮1344≧⫂∧⊺⇮1990))⪘⫢(⇁⨣⪵((↔⊺⇮1786)⩠))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":40,"operation_count":7,"complexity_ratio":5.714285714285714,"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":1344,"base":10},"right_expr":{"type":"numeric_atoms","value":1990,"base":10}}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1786,"base":10}}}}},"used_operators":["oacrs7FA3X","DpFCA1CohY","XPYlsWDdGa","Ph9nP6C5qx","inkyxCbjAn","sJAwomhLZr","ruOEQAzv1W"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1344","layer":4},{"info":"number node, value=1990","layer":4},{"info":"compute binary expreesion, left_input=1344, right_input=1990, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1517","layer":3},{"info":"compute unary expreesion, input=1517, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3034","layer":2},{"info":"compute unary expreesion, input=3034, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-9102","layer":1},{"info":"number node, value=1786","layer":4},{"info":"compute unary expreesion, input=1786, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1513","layer":3},{"info":"compute unary expreesion, input=-1513, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=6261","layer":2},{"info":"compute unary expreesion, input=6261, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-9102, 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":10,"result_base":10,"text":"(⋗⩬⋾(⪲⇎⊺⇮1344≧⫂∧⊺⇮1990))⪘⫢(⇁⨣⪵((↔⊺⇮1786)⩠))=NaN","reverse_text":"NaN=(⋗⩬⋾(⪲⇎⊺⇮1344≧⫂∧⊺⇮1990))⪘⫢(⇁⨣⪵((↔⊺⇮1786)⩠))","cot":[{"info":"⊺⇮1344≧⫂∧⊺⇮1990=⊺⇮1517","layer":3},{"info":"⪲⇎⊺⇮1517=⊺⇮3034","layer":2},{"info":"⋗⩬⋾⊺⇮3034=⊺⇮-9102","layer":1},{"info":"↔⊺⇮1786=⊺⇮-1513","layer":3},{"info":"⊺⇮-1513⩠=⊺⇮6261","layer":2},{"info":"⇁⨣⪵⊺⇮6261=NaN","layer":1},{"info":"⊺⇮-9102⪘⫢NaN=NaN","layer":0}]}
{"id":873,"expression_no_base_symbol":"(($5477$⨪↰⇹$1090$)⪘⫢($4093$∲⫓$1996$)⊠≄⫣)⨟⋌⩍((($3366$+$1659$)⨐⩸⫘($5496$⪄$2554$))⨎(⨵≀≌$1529$≎⊠⪸$2335$))","expression":"((⊺⇮5477⨪↰⇹⊺⇮1090)⪘⫢(⊺⇮4093∲⫓⊺⇮1996)⊠≄⫣)⨟⋌⩍(((⊺⇮3366+⊺⇮1659)⨐⩸⫘(⊺⇮5496⪄⊺⇮2554))⨎(⨵≀≌⊺⇮1529≎⊠⪸⊺⇮2335))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5863,"operation_count":11,"complexity_ratio":533.0,"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":5477,"base":10},"right_expr":{"type":"numeric_atoms","value":1090,"base":10}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4093,"base":10},"right_expr":{"type":"numeric_atoms","value":1996,"base":10}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3366,"base":10},"right_expr":{"type":"numeric_atoms","value":1659,"base":10}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":5496,"base":10},"right_expr":{"type":"numeric_atoms","value":2554,"base":10}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1529,"base":10},"right_expr":{"type":"numeric_atoms","value":2335,"base":10}}}}},"used_operators":["rGHVDoGpnC","DIvbN7qnHd","oacrs7FA3X","tmPS8pqC7x","i8ToyICDmI","rJVOvQCfKK","fu6greOZ01","W4YGzv6Whe","SUmda5xLS4","srAu1WTS94","bJkvcejdHO"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","3ViojmjbAp","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5477","layer":4},{"info":"number node, value=1090","layer":4},{"info":"compute binary expreesion, left_input=5477, right_input=1090, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=5477","layer":3},{"info":"number node, value=4093","layer":4},{"info":"number node, value=1996","layer":4},{"info":"compute binary expreesion, left_input=4093, right_input=1996, 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=5477, 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 unary expreesion, input=0, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"number node, value=3366","layer":4},{"info":"number node, value=1659","layer":4},{"info":"compute binary expreesion, left_input=3366, right_input=1659, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5025","layer":3},{"info":"number node, value=5496","layer":4},{"info":"number node, value=2554","layer":4},{"info":"compute binary expreesion, left_input=5496, right_input=2554, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-819713","layer":3},{"info":"compute binary expreesion, left_input=5025, right_input=-819713, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=1529","layer":4},{"info":"number node, value=2335","layer":4},{"info":"compute binary expreesion, left_input=1529, right_input=2335, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=395538","layer":3},{"info":"compute unary expreesion, input=395538, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-1186614","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1186614, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-1186614","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-1186614, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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":10,"result_base":10,"text":"((⊺⇮5477⨪↰⇹⊺⇮1090)⪘⫢(⊺⇮4093∲⫓⊺⇮1996)⊠≄⫣)⨟⋌⩍(((⊺⇮3366+⊺⇮1659)⨐⩸⫘(⊺⇮5496⪄⊺⇮2554))⨎(⨵≀≌⊺⇮1529≎⊠⪸⊺⇮2335))=NaN","reverse_text":"NaN=((⊺⇮5477⨪↰⇹⊺⇮1090)⪘⫢(⊺⇮4093∲⫓⊺⇮1996)⊠≄⫣)⨟⋌⩍(((⊺⇮3366+⊺⇮1659)⨐⩸⫘(⊺⇮5496⪄⊺⇮2554))⨎(⨵≀≌⊺⇮1529≎⊠⪸⊺⇮2335))","cot":[{"info":"⊺⇮5477⨪↰⇹⊺⇮1090=⊺⇮5477","layer":3},{"info":"⊺⇮4093∲⫓⊺⇮1996=⊺⇮0","layer":3},{"info":"⊺⇮5477⪘⫢⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮0⊠≄⫣=⊺⇮0","layer":1},{"info":"⊺⇮3366+⊺⇮1659=⊺⇮5025","layer":3},{"info":"⊺⇮5496⪄⊺⇮2554=⊺⇮-819713","layer":3},{"info":"⊺⇮5025⨐⩸⫘⊺⇮-819713=NaN","layer":2},{"info":"⊺⇮1529≎⊠⪸⊺⇮2335=⊺⇮395538","layer":3},{"info":"⨵≀≌⊺⇮395538=⊺⇮-1186614","layer":2},{"info":"NaN⨎⊺⇮-1186614=⊺⇮-1186614","layer":1},{"info":"⊺⇮0⨟⋌⩍⊺⇮-1186614=NaN","layer":0}]}
{"id":874,"expression_no_base_symbol":"⫓⪴(↥(($2341$⨐⩸⫘$7950$)⫩⊇))","expression":"⫓⪴(↥((⊺⇮2341⨐⩸⫘⊺⇮7950)⫩⊇))","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5,"operation_count":4,"complexity_ratio":1.25,"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":2341,"base":10},"right_expr":{"type":"numeric_atoms","value":7950,"base":10}}}}},"used_operators":["eLxqMNBOBk","A8NUZmVepG","BjRHVeLaeN","fu6greOZ01"],"dependent_operators":["9HNa5Wba9A","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=2341","layer":4},{"info":"number node, value=7950","layer":4},{"info":"compute binary expreesion, left_input=2341, right_input=7950, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⫓⪴(↥((⊺⇮2341⨐⩸⫘⊺⇮7950)⫩⊇))=NaN","reverse_text":"NaN=⫓⪴(↥((⊺⇮2341⨐⩸⫘⊺⇮7950)⫩⊇))","cot":[{"info":"⊺⇮2341⨐⩸⫘⊺⇮7950=NaN","layer":3},{"info":"NaN⫩⊇=NaN","layer":2},{"info":"↥NaN=NaN","layer":1},{"info":"⫓⪴NaN=NaN","layer":0}]}
{"id":875,"expression_no_base_symbol":"(($6487$∧)-$7802$-$8845$)⫥∨⫟(⊄⩳↩$2355$)⨓($1656$⋥≓≎$5032$)⇼⇔∾($6010$↙$1788$⊠≄⫣)⫸⊐($1221$⇷$1278$)⨪↰⇹($3814$≧⫂∧$2395$)","expression":"((⊺⇮6487∧)-⊺⇮7802-⊺⇮8845)⫥∨⫟(⊄⩳↩⊺⇮2355)⨓(⊺⇮1656⋥≓≎⊺⇮5032)⇼⇔∾(⊺⇮6010↙⊺⇮1788⊠≄⫣)⫸⊐(⊺⇮1221⇷⊺⇮1278)⨪↰⇹(⊺⇮3814≧⫂∧⊺⇮2395)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":30073,"operation_count":14,"complexity_ratio":2148.0714285714284,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":6487,"base":10}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":7802,"base":10},"right_expr":{"type":"numeric_atoms","value":8845,"base":10}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":2355,"base":10}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1656,"base":10},"right_expr":{"type":"numeric_atoms","value":5032,"base":10}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":6010,"base":10},"right_expr":{"type":"numeric_atoms","value":1788,"base":10}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1221,"base":10},"right_expr":{"type":"numeric_atoms","value":1278,"base":10}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3814,"base":10},"right_expr":{"type":"numeric_atoms","value":2395,"base":10}}}}},"used_operators":["tifHPKVTfV","KYD54nUTWz","rysDP5nf3Z","z63VuFQld9","3ViojmjbAp","8w2t5hMYqp","Qy55tPpLXF","mqXw5SEYmG","DIvbN7qnHd","yyfyN0ffXY","tmPS8pqC7x","mp7IySMOzn","Ph9nP6C5qx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rJVOvQCfKK","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6487","layer":4},{"info":"compute unary expreesion, input=6487, 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=7802","layer":4},{"info":"number node, value=8845","layer":4},{"info":"compute binary expreesion, left_input=7802, right_input=8845, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1043","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1043, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=2355","layer":4},{"info":"compute unary expreesion, input=2355, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-7065","layer":3},{"info":"number node, value=1656","layer":4},{"info":"number node, value=5032","layer":4},{"info":"compute binary expreesion, left_input=1656, right_input=5032, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=8441","layer":3},{"info":"compute binary expreesion, left_input=-7065, right_input=8441, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-8444","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-8444, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=6010","layer":4},{"info":"number node, value=1788","layer":4},{"info":"compute binary expreesion, left_input=6010, right_input=1788, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5364","layer":3},{"info":"compute unary expreesion, input=-5364, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"number node, value=1221","layer":4},{"info":"number node, value=1278","layer":4},{"info":"compute binary expreesion, left_input=1221, right_input=1278, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2556","layer":3},{"info":"number node, value=3814","layer":4},{"info":"number node, value=2395","layer":4},{"info":"compute binary expreesion, left_input=3814, right_input=2395, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1922","layer":3},{"info":"compute binary expreesion, left_input=2556, right_input=1922, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2556","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=2556, 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 binary expreesion, left_input=nan, right_input=0, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮6487∧)-⊺⇮7802-⊺⇮8845)⫥∨⫟(⊄⩳↩⊺⇮2355)⨓(⊺⇮1656⋥≓≎⊺⇮5032)⇼⇔∾(⊺⇮6010↙⊺⇮1788⊠≄⫣)⫸⊐(⊺⇮1221⇷⊺⇮1278)⨪↰⇹(⊺⇮3814≧⫂∧⊺⇮2395)=NaN","reverse_text":"NaN=((⊺⇮6487∧)-⊺⇮7802-⊺⇮8845)⫥∨⫟(⊄⩳↩⊺⇮2355)⨓(⊺⇮1656⋥≓≎⊺⇮5032)⇼⇔∾(⊺⇮6010↙⊺⇮1788⊠≄⫣)⫸⊐(⊺⇮1221⇷⊺⇮1278)⨪↰⇹(⊺⇮3814≧⫂∧⊺⇮2395)","cot":[{"info":"⊺⇮6487∧=NaN","layer":3},{"info":"⊺⇮7802-⊺⇮8845=⊺⇮-1043","layer":3},{"info":"NaN-⊺⇮-1043=NaN","layer":2},{"info":"⊄⩳↩⊺⇮2355=⊺⇮-7065","layer":3},{"info":"⊺⇮1656⋥≓≎⊺⇮5032=⊺⇮8441","layer":3},{"info":"⊺⇮-7065⨓⊺⇮8441=⊺⇮-8444","layer":2},{"info":"NaN⫥∨⫟⊺⇮-8444=NaN","layer":1},{"info":"⊺⇮6010↙⊺⇮1788=⊺⇮-5364","layer":3},{"info":"⊺⇮-5364⊠≄⫣=⊺⇮0","layer":2},{"info":"⊺⇮1221⇷⊺⇮1278=⊺⇮2556","layer":3},{"info":"⊺⇮3814≧⫂∧⊺⇮2395=⊺⇮1922","layer":3},{"info":"⊺⇮2556⨪↰⇹⊺⇮1922=⊺⇮2556","layer":2},{"info":"⊺⇮0⫸⊐⊺⇮2556=⊺⇮0","layer":1},{"info":"NaN⇼⇔∾⊺⇮0=NaN","layer":0}]}
{"id":876,"expression_no_base_symbol":"(($7617$⋓$4663$∲⫓($1241$⫡⨏$4441$))+⇶⊼((⫓⪴$8849$)⫸⊐$1312$≧⫂∧$1787$))⋓(+⊝⨔(($1649$⊘)+(≦∁$2790$)))","expression":"((⊺⇮7617⋓⊺⇮4663∲⫓(⊺⇮1241⫡⨏⊺⇮4441))+⇶⊼((⫓⪴⊺⇮8849)⫸⊐⊺⇮1312≧⫂∧⊺⇮1787))⋓(+⊝⨔((⊺⇮1649⊘)+(≦∁⊺⇮2790)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8971,"operation_count":12,"complexity_ratio":747.5833333333334,"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":7617,"base":10},"right_expr":{"type":"numeric_atoms","value":4663,"base":10}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1241,"base":10},"right_expr":{"type":"numeric_atoms","value":4441,"base":10}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":8849,"base":10}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1312,"base":10},"right_expr":{"type":"numeric_atoms","value":1787,"base":10}}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1649,"base":10}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2790,"base":10}}}}},"used_operators":["T2fj7uvVaJ","TpPTUOHfaN","i8ToyICDmI","QMFrweE19q","mqXw5SEYmG","eLxqMNBOBk","Ph9nP6C5qx","DhbWaqg5eL","W4YGzv6Whe","gu96TGCTMs","9ICcGScMcE"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7617","layer":4},{"info":"number node, value=4663","layer":4},{"info":"compute binary expreesion, left_input=7617, right_input=4663, op_id = T2fj7uvVaJ binary_op_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=1241","layer":4},{"info":"number node, value=4441","layer":4},{"info":"compute binary expreesion, left_input=1241, right_input=4441, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=15870","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=15870, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=8849","layer":4},{"info":"compute unary expreesion, input=8849, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=78304801","layer":3},{"info":"number node, value=1312","layer":4},{"info":"number node, value=1787","layer":4},{"info":"compute binary expreesion, left_input=1312, right_input=1787, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1314","layer":3},{"info":"compute binary expreesion, left_input=78304801, right_input=1314, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5131","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=5131, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=1649","layer":4},{"info":"compute unary expreesion, input=1649, 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=2790","layer":4},{"info":"compute unary expreesion, input=2790, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2790","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2790, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2790","layer":2},{"info":"compute unary expreesion, input=2790, 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 = T2fj7uvVaJ binary_op_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":10,"result_base":10,"text":"((⊺⇮7617⋓⊺⇮4663∲⫓(⊺⇮1241⫡⨏⊺⇮4441))+⇶⊼((⫓⪴⊺⇮8849)⫸⊐⊺⇮1312≧⫂∧⊺⇮1787))⋓(+⊝⨔((⊺⇮1649⊘)+(≦∁⊺⇮2790)))=⊺⇮0","reverse_text":"⊺⇮0=((⊺⇮7617⋓⊺⇮4663∲⫓(⊺⇮1241⫡⨏⊺⇮4441))+⇶⊼((⫓⪴⊺⇮8849)⫸⊐⊺⇮1312≧⫂∧⊺⇮1787))⋓(+⊝⨔((⊺⇮1649⊘)+(≦∁⊺⇮2790)))","cot":[{"info":"⊺⇮7617⋓⊺⇮4663=⊺⇮0","layer":3},{"info":"⊺⇮1241⫡⨏⊺⇮4441=⊺⇮15870","layer":3},{"info":"⊺⇮0∲⫓⊺⇮15870=⊺⇮0","layer":2},{"info":"⫓⪴⊺⇮8849=⊺⇮78304801","layer":3},{"info":"⊺⇮1312≧⫂∧⊺⇮1787=⊺⇮1314","layer":3},{"info":"⊺⇮78304801⫸⊐⊺⇮1314=⊺⇮5131","layer":2},{"info":"⊺⇮0+⇶⊼⊺⇮5131=NaN","layer":1},{"info":"⊺⇮1649⊘=⊺⇮0","layer":3},{"info":"≦∁⊺⇮2790=⊺⇮2790","layer":3},{"info":"⊺⇮0+⊺⇮2790=⊺⇮2790","layer":2},{"info":"+⊝⨔⊺⇮2790=⊺⇮1522","layer":1},{"info":"NaN⋓⊺⇮1522=⊺⇮0","layer":0}]}
{"id":877,"expression_no_base_symbol":"((↩$4995$)⋓$1233$⨓$3316$≫≃)∧","expression":"((↩⊺⇮4995)⋓⊺⇮1233⨓⊺⇮3316≫≃)∧","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":3364,"operation_count":5,"complexity_ratio":672.8,"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":4995,"base":10}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1233,"base":10},"right_expr":{"type":"numeric_atoms","value":3316,"base":10}}}}},"used_operators":["z63VuFQld9","X99M06cbEe","T2fj7uvVaJ","jLgFTUHLKL","3ViojmjbAp"],"dependent_operators":["B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4995","layer":4},{"info":"compute unary expreesion, input=4995, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-37180","layer":3},{"info":"number node, value=1233","layer":4},{"info":"number node, value=3316","layer":4},{"info":"compute binary expreesion, left_input=1233, right_input=3316, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3319","layer":3},{"info":"compute binary expreesion, left_input=-37180, right_input=-3319, op_id = T2fj7uvVaJ binary_op_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 = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=1401","layer":1},{"info":"compute unary expreesion, input=1401, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((↩⊺⇮4995)⋓⊺⇮1233⨓⊺⇮3316≫≃)∧=NaN","reverse_text":"NaN=((↩⊺⇮4995)⋓⊺⇮1233⨓⊺⇮3316≫≃)∧","cot":[{"info":"↩⊺⇮4995=⊺⇮-37180","layer":3},{"info":"⊺⇮1233⨓⊺⇮3316=⊺⇮-3319","layer":3},{"info":"⊺⇮-37180⋓⊺⇮-3319=⊺⇮0","layer":2},{"info":"⊺⇮0≫≃=⊺⇮1401","layer":1},{"info":"⊺⇮1401∧=NaN","layer":0}]}
{"id":878,"expression_no_base_symbol":"⨈⫕($2117$-$1088$⋷$5044$⪮%⊝$2214$)⨰($2596$⪢$2330$⫌⩹⨱)","expression":"⨈⫕(⊺⇮2117-⊺⇮1088⋷⊺⇮5044⪮%⊝⊺⇮2214)⨰(⊺⇮2596⪢⊺⇮2330⫌⩹⨱)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3584,"operation_count":7,"complexity_ratio":512.0,"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":2117,"base":10},"right_expr":{"type":"numeric_atoms","value":1088,"base":10}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":5044,"base":10},"right_expr":{"type":"numeric_atoms","value":2214,"base":10}}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2596,"base":10},"right_expr":{"type":"numeric_atoms","value":2330,"base":10}}}}},"used_operators":["megm06wKyl","eewbuw0ToL","23Mk6UjR3U","rysDP5nf3Z","IWmyXbctLI","EBcxylXtPf","dWAJyo7jo9"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","k8jYdgA6NY"],"result":"⊺⇮-21","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2117","layer":4},{"info":"number node, value=1088","layer":4},{"info":"compute binary expreesion, left_input=2117, right_input=1088, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1029","layer":3},{"info":"number node, value=5044","layer":4},{"info":"number node, value=2214","layer":4},{"info":"compute binary expreesion, left_input=5044, right_input=2214, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=10404","layer":3},{"info":"compute binary expreesion, left_input=1029, right_input=10404, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=19779","layer":2},{"info":"number node, value=2596","layer":4},{"info":"number node, value=2330","layer":4},{"info":"compute binary expreesion, left_input=2596, right_input=2330, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=19779, 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 = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":0}],"base":10,"result_base":10,"text":"⨈⫕(⊺⇮2117-⊺⇮1088⋷⊺⇮5044⪮%⊝⊺⇮2214)⨰(⊺⇮2596⪢⊺⇮2330⫌⩹⨱)=⊺⇮-21","reverse_text":"⊺⇮-21=⨈⫕(⊺⇮2117-⊺⇮1088⋷⊺⇮5044⪮%⊝⊺⇮2214)⨰(⊺⇮2596⪢⊺⇮2330⫌⩹⨱)","cot":[{"info":"⊺⇮2117-⊺⇮1088=⊺⇮1029","layer":3},{"info":"⊺⇮5044⪮%⊝⊺⇮2214=⊺⇮10404","layer":3},{"info":"⊺⇮1029⋷⊺⇮10404=⊺⇮19779","layer":2},{"info":"⊺⇮2596⪢⊺⇮2330=NaN","layer":3},{"info":"NaN⫌⩹⨱=NaN","layer":2},{"info":"⊺⇮19779⨰NaN=NaN","layer":1},{"info":"⨈⫕NaN=⊺⇮-21","layer":0}]}
{"id":879,"expression_no_base_symbol":"(($4055$≋⫹)⇷($1396$⫥∨⫟$4729$))⨟⋌⩍(⨞⊢$1425$⪢$4450$)⨰((∥⊫$3893$⪢$1140$)≫≃)","expression":"((⊺⇮4055≋⫹)⇷(⊺⇮1396⫥∨⫟⊺⇮4729))⨟⋌⩍(⨞⊢⊺⇮1425⪢⊺⇮4450)⨰((∥⊫⊺⇮3893⪢⊺⇮1140)≫≃)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":124033,"operation_count":10,"complexity_ratio":12403.3,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":4055,"base":10}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1396,"base":10},"right_expr":{"type":"numeric_atoms","value":4729,"base":10}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1425,"base":10},"right_expr":{"type":"numeric_atoms","value":4450,"base":10}}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3893,"base":10},"right_expr":{"type":"numeric_atoms","value":1140,"base":10}}}}},"used_operators":["eewbuw0ToL","rGHVDoGpnC","mp7IySMOzn","N41Kp7NANJ","KYD54nUTWz","xUOZtlo3hN","dWAJyo7jo9","X99M06cbEe","P8v4zCKN1o"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4055","layer":4},{"info":"compute unary expreesion, input=4055, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-8110","layer":3},{"info":"number node, value=1396","layer":4},{"info":"number node, value=4729","layer":4},{"info":"compute binary expreesion, left_input=1396, right_input=4729, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-8110, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"number node, value=1425","layer":4},{"info":"number node, value=4450","layer":4},{"info":"compute binary expreesion, left_input=1425, right_input=4450, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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":"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=3893","layer":4},{"info":"number node, value=1140","layer":4},{"info":"compute binary expreesion, left_input=3893, right_input=1140, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = 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 = 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 = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮4055≋⫹)⇷(⊺⇮1396⫥∨⫟⊺⇮4729))⨟⋌⩍(⨞⊢⊺⇮1425⪢⊺⇮4450)⨰((∥⊫⊺⇮3893⪢⊺⇮1140)≫≃)=NaN","reverse_text":"NaN=((⊺⇮4055≋⫹)⇷(⊺⇮1396⫥∨⫟⊺⇮4729))⨟⋌⩍(⨞⊢⊺⇮1425⪢⊺⇮4450)⨰((∥⊫⊺⇮3893⪢⊺⇮1140)≫≃)","cot":[{"info":"⊺⇮4055≋⫹=⊺⇮-8110","layer":3},{"info":"⊺⇮1396⫥∨⫟⊺⇮4729=NaN","layer":3},{"info":"⊺⇮-8110⇷NaN=NaN","layer":2},{"info":"⊺⇮1425⪢⊺⇮4450=NaN","layer":3},{"info":"⨞⊢NaN=NaN","layer":2},{"info":"NaN⨟⋌⩍NaN=NaN","layer":1},{"info":"⊺⇮3893⪢⊺⇮1140=NaN","layer":3},{"info":"∥⊫NaN=NaN","layer":2},{"info":"NaN≫≃=NaN","layer":1},{"info":"NaN⨰NaN=NaN","layer":0}]}
{"id":880,"expression_no_base_symbol":"(+⊝⨔(∂($5984$∸)))∼((($3229$≦≮≮)⪒(⫛⫱⨽$2121$))⪄((⇁⨣⪵$1412$)⩨$4934$⨟⋌⩍$2901$))","expression":"(+⊝⨔(∂(⊺⇮5984∸)))∼(((⊺⇮3229≦≮≮)⪒(⫛⫱⨽⊺⇮2121))⪄((⇁⨣⪵⊺⇮1412)⩨⊺⇮4934⨟⋌⩍⊺⇮2901))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2173,"operation_count":11,"complexity_ratio":197.54545454545453,"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":5984,"base":10}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":3229,"base":10}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2121,"base":10}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1412,"base":10}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4934,"base":10},"right_expr":{"type":"numeric_atoms","value":2901,"base":10}}}}},"used_operators":["DyGG3AbaNP","DhbWaqg5eL","Uaa54Peajs","o20kRiQErp","SUmda5xLS4","f6k1SAg4EE","D4vGDi5EA2","DlLNRPXxWL","2DlMacCsIx","inkyxCbjAn","rGHVDoGpnC"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","tmPS8pqC7x","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","B5M0gjZbta","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5984","layer":4},{"info":"compute unary expreesion, input=5984, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"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":2},{"info":"compute unary expreesion, input=-441, 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=3229","layer":4},{"info":"compute unary expreesion, input=3229, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-9687","layer":3},{"info":"number node, value=2121","layer":4},{"info":"compute unary expreesion, input=2121, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-9687, right_input=0, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=9687","layer":2},{"info":"number node, value=1412","layer":4},{"info":"compute unary expreesion, input=1412, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=4934","layer":4},{"info":"number node, value=2901","layer":4},{"info":"compute binary expreesion, left_input=4934, right_input=2901, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=9687, 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=1522, 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":10,"result_base":10,"text":"(+⊝⨔(∂(⊺⇮5984∸)))∼(((⊺⇮3229≦≮≮)⪒(⫛⫱⨽⊺⇮2121))⪄((⇁⨣⪵⊺⇮1412)⩨⊺⇮4934⨟⋌⩍⊺⇮2901))=NaN","reverse_text":"NaN=(+⊝⨔(∂(⊺⇮5984∸)))∼(((⊺⇮3229≦≮≮)⪒(⫛⫱⨽⊺⇮2121))⪄((⇁⨣⪵⊺⇮1412)⩨⊺⇮4934⨟⋌⩍⊺⇮2901))","cot":[{"info":"⊺⇮5984∸=⊺⇮177","layer":3},{"info":"∂⊺⇮177=⊺⇮-441","layer":2},{"info":"+⊝⨔⊺⇮-441=⊺⇮1522","layer":1},{"info":"⊺⇮3229≦≮≮=⊺⇮-9687","layer":3},{"info":"⫛⫱⨽⊺⇮2121=⊺⇮0","layer":3},{"info":"⊺⇮-9687⪒⊺⇮0=⊺⇮9687","layer":2},{"info":"⇁⨣⪵⊺⇮1412=NaN","layer":3},{"info":"⊺⇮4934⨟⋌⩍⊺⇮2901=NaN","layer":3},{"info":"NaN⩨NaN=NaN","layer":2},{"info":"⊺⇮9687⪄NaN=NaN","layer":1},{"info":"⊺⇮1522∼NaN=NaN","layer":0}]}
{"id":881,"expression_no_base_symbol":"($1902$⋳⪒$1127$⨽$6669$+⇶⊼$3161$⫸⊐($6989$⨪↰⇹$5117$≋⫹))⊭∹↮","expression":"(⊺⇮1902⋳⪒⊺⇮1127⨽⊺⇮6669+⇶⊼⊺⇮3161⫸⊐(⊺⇮6989⨪↰⇹⊺⇮5117≋⫹))⊭∹↮","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":9409,"operation_count":7,"complexity_ratio":1344.142857142857,"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":1902,"base":10},"right_expr":{"type":"numeric_atoms","value":1127,"base":10}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":6669,"base":10},"right_expr":{"type":"numeric_atoms","value":3161,"base":10}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":6989,"base":10},"right_expr":{"type":"numeric_atoms","value":5117,"base":10}}}}},"used_operators":["xNBdhnnwKq","mqXw5SEYmG","8HhzD0ZcuI","12rbrZMWeM","TpPTUOHfaN","N41Kp7NANJ","tmPS8pqC7x"],"dependent_operators":["2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1902","layer":4},{"info":"number node, value=1127","layer":4},{"info":"compute binary expreesion, left_input=1902, right_input=1127, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2390","layer":3},{"info":"number node, value=6669","layer":4},{"info":"number node, value=3161","layer":4},{"info":"compute binary expreesion, left_input=6669, right_input=3161, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=2390, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"number node, value=6989","layer":4},{"info":"number node, value=5117","layer":4},{"info":"compute binary expreesion, left_input=6989, right_input=5117, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=6989","layer":3},{"info":"compute unary expreesion, input=6989, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-13978","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-13978, 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 = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1902⋳⪒⊺⇮1127⨽⊺⇮6669+⇶⊼⊺⇮3161⫸⊐(⊺⇮6989⨪↰⇹⊺⇮5117≋⫹))⊭∹↮=NaN","reverse_text":"NaN=(⊺⇮1902⋳⪒⊺⇮1127⨽⊺⇮6669+⇶⊼⊺⇮3161⫸⊐(⊺⇮6989⨪↰⇹⊺⇮5117≋⫹))⊭∹↮","cot":[{"info":"⊺⇮1902⋳⪒⊺⇮1127=⊺⇮2390","layer":3},{"info":"⊺⇮6669+⇶⊼⊺⇮3161=NaN","layer":3},{"info":"⊺⇮2390⨽NaN=NaN","layer":2},{"info":"⊺⇮6989⨪↰⇹⊺⇮5117=⊺⇮6989","layer":3},{"info":"⊺⇮6989≋⫹=⊺⇮-13978","layer":2},{"info":"NaN⫸⊐⊺⇮-13978=NaN","layer":1},{"info":"NaN⊭∹↮=NaN","layer":0}]}
{"id":882,"expression_no_base_symbol":"⨰⫟⨤(($5882$≫≃)⋓(⊙↵-$1684$)⋥≓≎$4701$↬$6861$⨰($2852$/$1164$))","expression":"⨰⫟⨤((⊺⇮5882≫≃)⋓(⊙↵-⊺⇮1684)⋥≓≎⊺⇮4701↬⊺⇮6861⨰(⊺⇮2852/⊺⇮1164))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1792,"operation_count":8,"complexity_ratio":224.0,"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":5882,"base":10}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1684,"base":10}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4701,"base":10},"right_expr":{"type":"numeric_atoms","value":6861,"base":10}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2852,"base":10},"right_expr":{"type":"numeric_atoms","value":1164,"base":10}}}}},"used_operators":["Tw270M8GLb","Qy55tPpLXF","T2fj7uvVaJ","X99M06cbEe","oWn0xqSxBt","eewbuw0ToL","B5M0gjZbta","XhwjNDsVaA"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5882","layer":4},{"info":"compute unary expreesion, input=5882, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=13165","layer":3},{"info":"number node, value=1684","layer":4},{"info":"compute unary expreesion, input=1684, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=13165, 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":"number node, value=4701","layer":4},{"info":"number node, value=6861","layer":4},{"info":"compute binary expreesion, left_input=4701, right_input=6861, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=2852","layer":4},{"info":"number node, value=1164","layer":4},{"info":"compute binary expreesion, left_input=2852, right_input=1164, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2, 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 = 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 = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⨰⫟⨤((⊺⇮5882≫≃)⋓(⊙↵-⊺⇮1684)⋥≓≎⊺⇮4701↬⊺⇮6861⨰(⊺⇮2852/⊺⇮1164))=NaN","reverse_text":"NaN=⨰⫟⨤((⊺⇮5882≫≃)⋓(⊙↵-⊺⇮1684)⋥≓≎⊺⇮4701↬⊺⇮6861⨰(⊺⇮2852/⊺⇮1164))","cot":[{"info":"⊺⇮5882≫≃=⊺⇮13165","layer":3},{"info":"⊙↵-⊺⇮1684=⊺⇮-1","layer":3},{"info":"⊺⇮13165⋓⊺⇮-1=⊺⇮0","layer":2},{"info":"⊺⇮4701↬⊺⇮6861=NaN","layer":3},{"info":"⊺⇮2852/⊺⇮1164=⊺⇮2","layer":3},{"info":"NaN⨰⊺⇮2=NaN","layer":2},{"info":"⊺⇮0⋥≓≎NaN=NaN","layer":1},{"info":"⨰⫟⨤NaN=NaN","layer":0}]}
{"id":883,"expression_no_base_symbol":"(($2957$∲⫓$5499$)↬(⪝⪂⫅$3840$))⊴(($2578$⨐⩸⫘$1811$)+⇶⊼($6497$⫥∨⫟$1534$))⫡⨏(↩($2195$≎⊠⪸$4131$-$3291$⫸⊐$4336$))","expression":"((⊺⇮2957∲⫓⊺⇮5499)↬(⪝⪂⫅⊺⇮3840))⊴((⊺⇮2578⨐⩸⫘⊺⇮1811)+⇶⊼(⊺⇮6497⫥∨⫟⊺⇮1534))⫡⨏(↩(⊺⇮2195≎⊠⪸⊺⇮4131-⊺⇮3291⫸⊐⊺⇮4336))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":634,"operation_count":12,"complexity_ratio":52.833333333333336,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2957,"base":10},"right_expr":{"type":"numeric_atoms","value":5499,"base":10}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":3840,"base":10}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2578,"base":10},"right_expr":{"type":"numeric_atoms","value":1811,"base":10}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":6497,"base":10},"right_expr":{"type":"numeric_atoms","value":1534,"base":10}}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2195,"base":10},"right_expr":{"type":"numeric_atoms","value":4131,"base":10}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3291,"base":10},"right_expr":{"type":"numeric_atoms","value":4336,"base":10}}}}},"used_operators":["QMFrweE19q","Nsiff2A1zJ","B5M0gjZbta","i8ToyICDmI","XTarYq4gQB","TpPTUOHfaN","fu6greOZ01","KYD54nUTWz","jLgFTUHLKL","rysDP5nf3Z","bJkvcejdHO","mqXw5SEYmG"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","AHs5Up7iyr","3ViojmjbAp","8HhzD0ZcuI","rGHVDoGpnC","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2957","layer":4},{"info":"number node, value=5499","layer":4},{"info":"compute binary expreesion, left_input=2957, right_input=5499, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=3840","layer":4},{"info":"compute unary expreesion, input=3840, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-564480","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-564480, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=-564480","layer":2},{"info":"number node, value=2578","layer":4},{"info":"number node, value=1811","layer":4},{"info":"compute binary expreesion, left_input=2578, right_input=1811, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=6497","layer":4},{"info":"number node, value=1534","layer":4},{"info":"compute binary expreesion, left_input=6497, right_input=1534, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-564480, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=2195","layer":4},{"info":"number node, value=4131","layer":4},{"info":"compute binary expreesion, left_input=2195, right_input=4131, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=568032","layer":3},{"info":"number node, value=3291","layer":4},{"info":"number node, value=4336","layer":4},{"info":"compute binary expreesion, left_input=3291, right_input=4336, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=17219","layer":3},{"info":"compute binary expreesion, left_input=568032, right_input=17219, op_id = rysDP5nf3Z binary_op_definition= 'None', output=550813","layer":2},{"info":"compute unary expreesion, input=550813, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-4403724","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-4403724, op_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":10,"result_base":10,"text":"((⊺⇮2957∲⫓⊺⇮5499)↬(⪝⪂⫅⊺⇮3840))⊴((⊺⇮2578⨐⩸⫘⊺⇮1811)+⇶⊼(⊺⇮6497⫥∨⫟⊺⇮1534))⫡⨏(↩(⊺⇮2195≎⊠⪸⊺⇮4131-⊺⇮3291⫸⊐⊺⇮4336))=NaN","reverse_text":"NaN=((⊺⇮2957∲⫓⊺⇮5499)↬(⪝⪂⫅⊺⇮3840))⊴((⊺⇮2578⨐⩸⫘⊺⇮1811)+⇶⊼(⊺⇮6497⫥∨⫟⊺⇮1534))⫡⨏(↩(⊺⇮2195≎⊠⪸⊺⇮4131-⊺⇮3291⫸⊐⊺⇮4336))","cot":[{"info":"⊺⇮2957∲⫓⊺⇮5499=⊺⇮0","layer":3},{"info":"⪝⪂⫅⊺⇮3840=⊺⇮-564480","layer":3},{"info":"⊺⇮0↬⊺⇮-564480=⊺⇮-564480","layer":2},{"info":"⊺⇮2578⨐⩸⫘⊺⇮1811=NaN","layer":3},{"info":"⊺⇮6497⫥∨⫟⊺⇮1534=NaN","layer":3},{"info":"NaN+⇶⊼NaN=NaN","layer":2},{"info":"⊺⇮-564480⊴NaN=NaN","layer":1},{"info":"⊺⇮2195≎⊠⪸⊺⇮4131=⊺⇮568032","layer":3},{"info":"⊺⇮3291⫸⊐⊺⇮4336=⊺⇮17219","layer":3},{"info":"⊺⇮568032-⊺⇮17219=⊺⇮550813","layer":2},{"info":"↩⊺⇮550813=⊺⇮-4403724","layer":1},{"info":"NaN⫡⨏⊺⇮-4403724=NaN","layer":0}]}
{"id":884,"expression_no_base_symbol":"(⨈⫕($2628$⨽$1060$)⋝⋈⪟($4769$⇼⇔∾$1332$))∀⇚≩(⪝⪂⫅$3380$)⨟⋌⩍(⊙↵-$1059$)⇷(($2332$⩷∴$1685$)⨓($3600$⇼⇔∾$5189$))","expression":"(⨈⫕(⊺⇮2628⨽⊺⇮1060)⋝⋈⪟(⊺⇮4769⇼⇔∾⊺⇮1332))∀⇚≩(⪝⪂⫅⊺⇮3380)⨟⋌⩍(⊙↵-⊺⇮1059)⇷((⊺⇮2332⩷∴⊺⇮1685)⨓(⊺⇮3600⇼⇔∾⊺⇮5189))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6556,"operation_count":12,"complexity_ratio":546.3333333333334,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2628,"base":10},"right_expr":{"type":"numeric_atoms","value":1060,"base":10}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":4769,"base":10},"right_expr":{"type":"numeric_atoms","value":1332,"base":10}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":3380,"base":10}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1059,"base":10}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2332,"base":10},"right_expr":{"type":"numeric_atoms","value":1685,"base":10}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3600,"base":10},"right_expr":{"type":"numeric_atoms","value":5189,"base":10}}}}},"used_operators":["LRNGc0VcxI","megm06wKyl","2DDjHMKMc0","8HhzD0ZcuI","tifHPKVTfV","mp7IySMOzn","rGHVDoGpnC","XTarYq4gQB","oWn0xqSxBt","3ViojmjbAp","9FxExcQeMw"],"dependent_operators":["X99M06cbEe","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","Tcnh7f0tEr","9HNa5Wba9A","8w2t5hMYqp","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z"],"result":"⊺⇮-979370451","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2628","layer":4},{"info":"number node, value=1060","layer":4},{"info":"compute binary expreesion, left_input=2628, right_input=1060, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-20721018","layer":3},{"info":"number node, value=4769","layer":4},{"info":"number node, value=1332","layer":4},{"info":"compute binary expreesion, left_input=4769, right_input=1332, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-3437","layer":3},{"info":"compute binary expreesion, left_input=-20721018, right_input=-3437, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-20721018","layer":2},{"info":"compute unary expreesion, input=-20721018, 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=3380","layer":4},{"info":"compute unary expreesion, input=3380, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-496860","layer":3},{"info":"number node, value=1059","layer":4},{"info":"compute unary expreesion, input=1059, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=-496860, 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":"number node, value=2332","layer":4},{"info":"number node, value=1685","layer":4},{"info":"compute binary expreesion, left_input=2332, right_input=1685, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1262","layer":3},{"info":"number node, value=3600","layer":4},{"info":"number node, value=5189","layer":4},{"info":"compute binary expreesion, left_input=3600, right_input=5189, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1589","layer":3},{"info":"compute binary expreesion, left_input=1262, right_input=1589, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1592","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-1592, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=0, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=-979370451","layer":0}],"base":10,"result_base":10,"text":"(⨈⫕(⊺⇮2628⨽⊺⇮1060)⋝⋈⪟(⊺⇮4769⇼⇔∾⊺⇮1332))∀⇚≩(⪝⪂⫅⊺⇮3380)⨟⋌⩍(⊙↵-⊺⇮1059)⇷((⊺⇮2332⩷∴⊺⇮1685)⨓(⊺⇮3600⇼⇔∾⊺⇮5189))=⊺⇮-979370451","reverse_text":"⊺⇮-979370451=(⨈⫕(⊺⇮2628⨽⊺⇮1060)⋝⋈⪟(⊺⇮4769⇼⇔∾⊺⇮1332))∀⇚≩(⪝⪂⫅⊺⇮3380)⨟⋌⩍(⊙↵-⊺⇮1059)⇷((⊺⇮2332⩷∴⊺⇮1685)⨓(⊺⇮3600⇼⇔∾⊺⇮5189))","cot":[{"info":"⊺⇮2628⨽⊺⇮1060=⊺⇮-20721018","layer":3},{"info":"⊺⇮4769⇼⇔∾⊺⇮1332=⊺⇮-3437","layer":3},{"info":"⊺⇮-20721018⋝⋈⪟⊺⇮-3437=⊺⇮-20721018","layer":2},{"info":"⨈⫕⊺⇮-20721018=⊺⇮-21","layer":1},{"info":"⪝⪂⫅⊺⇮3380=⊺⇮-496860","layer":3},{"info":"⊙↵-⊺⇮1059=⊺⇮-1","layer":3},{"info":"⊺⇮-496860⨟⋌⩍⊺⇮-1=⊺⇮0","layer":2},{"info":"⊺⇮2332⩷∴⊺⇮1685=⊺⇮1262","layer":3},{"info":"⊺⇮3600⇼⇔∾⊺⇮5189=⊺⇮1589","layer":3},{"info":"⊺⇮1262⨓⊺⇮1589=⊺⇮-1592","layer":2},{"info":"⊺⇮0⇷⊺⇮-1592=⊺⇮0","layer":1},{"info":"⊺⇮-21∀⇚≩⊺⇮0=⊺⇮-979370451","layer":0}]}
{"id":885,"expression_no_base_symbol":"∂((⫛⫱⨽($1971$⊪))⨸⪁(↣≠⋷$1189$)⋥≓≎$2220$≹⇙⪍$2147$)","expression":"∂((⫛⫱⨽(⊺⇮1971⊪))⨸⪁(↣≠⋷⊺⇮1189)⋥≓≎⊺⇮2220≹⇙⪍⊺⇮2147)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1371,"operation_count":7,"complexity_ratio":195.85714285714286,"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":1971,"base":10}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1189,"base":10}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2220,"base":10},"right_expr":{"type":"numeric_atoms","value":2147,"base":10}}}}},"used_operators":["Uaa54Peajs","g55IO6H4Gj","DlLNRPXxWL","zVYPLywUTj","Qy55tPpLXF","Asc51vEJeQ","AHs5Up7iyr"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","rGHVDoGpnC","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","dWAJyo7jo9"],"result":"⊺⇮-398","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1971","layer":4},{"info":"compute unary expreesion, input=1971, 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 = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"number node, value=1189","layer":4},{"info":"compute unary expreesion, input=1189, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=2220","layer":4},{"info":"number node, value=2147","layer":4},{"info":"compute binary expreesion, left_input=2220, right_input=2147, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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 = 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 = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=134","layer":1},{"info":"compute unary expreesion, input=134, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=-398","layer":0}],"base":10,"result_base":10,"text":"∂((⫛⫱⨽(⊺⇮1971⊪))⨸⪁(↣≠⋷⊺⇮1189)⋥≓≎⊺⇮2220≹⇙⪍⊺⇮2147)=⊺⇮-398","reverse_text":"⊺⇮-398=∂((⫛⫱⨽(⊺⇮1971⊪))⨸⪁(↣≠⋷⊺⇮1189)⋥≓≎⊺⇮2220≹⇙⪍⊺⇮2147)","cot":[{"info":"⊺⇮1971⊪=⊺⇮0","layer":3},{"info":"⫛⫱⨽⊺⇮0=⊺⇮0","layer":2},{"info":"↣≠⋷⊺⇮1189=NaN","layer":3},{"info":"⊺⇮2220≹⇙⪍⊺⇮2147=NaN","layer":3},{"info":"NaN⋥≓≎NaN=⊺⇮67","layer":2},{"info":"⊺⇮0⨸⪁⊺⇮67=⊺⇮134","layer":1},{"info":"∂⊺⇮134=⊺⇮-398","layer":0}]}
{"id":886,"expression_no_base_symbol":"⫛⫱⨽(⨰⫟⨤($1211$+$1225$)∼($5764$∑⇟⊟$2164$))","expression":"⫛⫱⨽(⨰⫟⨤(⊺⇮1211+⊺⇮1225)∼(⊺⇮5764∑⇟⊟⊺⇮2164))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":992,"operation_count":5,"complexity_ratio":198.4,"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":1211,"base":10},"right_expr":{"type":"numeric_atoms","value":1225,"base":10}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":5764,"base":10},"right_expr":{"type":"numeric_atoms","value":2164,"base":10}}}}},"used_operators":["DlLNRPXxWL","Tw270M8GLb","DyGG3AbaNP","W4YGzv6Whe","U7g4x0WXJJ"],"dependent_operators":["rGHVDoGpnC","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=1211","layer":4},{"info":"number node, value=1225","layer":4},{"info":"compute binary expreesion, left_input=1211, right_input=1225, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2436","layer":3},{"info":"number node, value=5764","layer":4},{"info":"number node, value=2164","layer":4},{"info":"compute binary expreesion, left_input=5764, right_input=2164, 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=2436, 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 unary expreesion, input=nan, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⫛⫱⨽(⨰⫟⨤(⊺⇮1211+⊺⇮1225)∼(⊺⇮5764∑⇟⊟⊺⇮2164))=NaN","reverse_text":"NaN=⫛⫱⨽(⨰⫟⨤(⊺⇮1211+⊺⇮1225)∼(⊺⇮5764∑⇟⊟⊺⇮2164))","cot":[{"info":"⊺⇮1211+⊺⇮1225=⊺⇮2436","layer":3},{"info":"⊺⇮5764∑⇟⊟⊺⇮2164=NaN","layer":3},{"info":"⊺⇮2436∼NaN=NaN","layer":2},{"info":"⨰⫟⨤NaN=NaN","layer":1},{"info":"⫛⫱⨽NaN=NaN","layer":0}]}
{"id":887,"expression_no_base_symbol":"(($2643$↙$5051$)+⇶⊼($5078$⩠))⪘⫢(↥$1389$⪮%⊝$1169$)/($3045$∼$1382$⊠≄⫣)≧⫂∧((≦∁$2661$)≎⊠⪸(≤/$2638$))","expression":"((⊺⇮2643↙⊺⇮5051)+⇶⊼(⊺⇮5078⩠))⪘⫢(↥⊺⇮1389⪮%⊝⊺⇮1169)/(⊺⇮3045∼⊺⇮1382⊠≄⫣)≧⫂∧((≦∁⊺⇮2661)≎⊠⪸(≤/⊺⇮2638))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5230,"operation_count":13,"complexity_ratio":402.3076923076923,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2643,"base":10},"right_expr":{"type":"numeric_atoms","value":5051,"base":10}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":5078,"base":10}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1389,"base":10},"right_expr":{"type":"numeric_atoms","value":1169,"base":10}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3045,"base":10},"right_expr":{"type":"numeric_atoms","value":1382,"base":10}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2661,"base":10}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2638,"base":10}}}}},"used_operators":["XhwjNDsVaA","oacrs7FA3X","TpPTUOHfaN","yyfyN0ffXY","sJAwomhLZr","A8NUZmVepG","IWmyXbctLI","Ph9nP6C5qx","DIvbN7qnHd","DyGG3AbaNP","bJkvcejdHO","9ICcGScMcE","eLAdDNolq6"],"dependent_operators":["rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","AHs5Up7iyr","tmPS8pqC7x","DpFCA1CohY","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","k8jYdgA6NY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2643","layer":4},{"info":"number node, value=5051","layer":4},{"info":"compute binary expreesion, left_input=2643, right_input=5051, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-15153","layer":3},{"info":"number node, value=5078","layer":4},{"info":"compute unary expreesion, input=5078, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-15153, 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=1389","layer":4},{"info":"number node, value=1169","layer":4},{"info":"compute binary expreesion, left_input=1389, right_input=1169, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3094","layer":3},{"info":"compute unary expreesion, input=3094, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=34","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=34, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=0","layer":1},{"info":"number node, value=3045","layer":4},{"info":"number node, value=1382","layer":4},{"info":"compute binary expreesion, left_input=3045, right_input=1382, 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":"number node, value=2661","layer":4},{"info":"compute unary expreesion, input=2661, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2661","layer":3},{"info":"number node, value=2638","layer":4},{"info":"compute unary expreesion, input=2638, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2154","layer":3},{"info":"compute binary expreesion, left_input=2661, right_input=-2154, 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 = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-406","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-406, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮2643↙⊺⇮5051)+⇶⊼(⊺⇮5078⩠))⪘⫢(↥⊺⇮1389⪮%⊝⊺⇮1169)/(⊺⇮3045∼⊺⇮1382⊠≄⫣)≧⫂∧((≦∁⊺⇮2661)≎⊠⪸(≤/⊺⇮2638))=⊺⇮0","reverse_text":"⊺⇮0=((⊺⇮2643↙⊺⇮5051)+⇶⊼(⊺⇮5078⩠))⪘⫢(↥⊺⇮1389⪮%⊝⊺⇮1169)/(⊺⇮3045∼⊺⇮1382⊠≄⫣)≧⫂∧((≦∁⊺⇮2661)≎⊠⪸(≤/⊺⇮2638))","cot":[{"info":"⊺⇮2643↙⊺⇮5051=⊺⇮-15153","layer":3},{"info":"⊺⇮5078⩠=⊺⇮0","layer":3},{"info":"⊺⇮-15153+⇶⊼⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮1389⪮%⊝⊺⇮1169=⊺⇮3094","layer":3},{"info":"↥⊺⇮3094=⊺⇮34","layer":2},{"info":"⊺⇮0⪘⫢⊺⇮34=⊺⇮0","layer":1},{"info":"⊺⇮3045∼⊺⇮1382=NaN","layer":3},{"info":"NaN⊠≄⫣=NaN","layer":2},{"info":"≦∁⊺⇮2661=⊺⇮2661","layer":3},{"info":"≤/⊺⇮2638=⊺⇮-2154","layer":3},{"info":"⊺⇮2661≎⊠⪸⊺⇮-2154=⊺⇮67","layer":2},{"info":"NaN≧⫂∧⊺⇮67=⊺⇮-406","layer":1},{"info":"⊺⇮0/⊺⇮-406=⊺⇮0","layer":0}]}
{"id":888,"expression_no_base_symbol":"(≉$1743$)⪛(↔$7889$)⇼⇔∾(⊥(⊥$2143$))*(($4307$%$3985$)⊴(↣≠⋷$4182$)⫡⨏$1544$⇷$1259$⊭↱$6565$∑⇟⊟$1111$)","expression":"(≉⊺⇮1743)⪛(↔⊺⇮7889)⇼⇔∾(⊥(⊥⊺⇮2143))*((⊺⇮4307%⊺⇮3985)⊴(↣≠⋷⊺⇮4182)⫡⨏⊺⇮1544⇷⊺⇮1259⊭↱⊺⇮6565∑⇟⊟⊺⇮1111)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":21665,"operation_count":14,"complexity_ratio":1547.5,"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":1743,"base":10}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":7889,"base":10}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":2143,"base":10}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4307,"base":10},"right_expr":{"type":"numeric_atoms","value":3985,"base":10}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":4182,"base":10}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1544,"base":10},"right_expr":{"type":"numeric_atoms","value":1259,"base":10}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":6565,"base":10},"right_expr":{"type":"numeric_atoms","value":1111,"base":10}}}}},"used_operators":["9HNa5Wba9A","tifHPKVTfV","uFcxV4UQCh","e1ybzncUwg","ruOEQAzv1W","Q3PJZHRvZv","QMFrweE19q","Nsiff2A1zJ","k8jYdgA6NY","Asc51vEJeQ","COABgblf1C","mp7IySMOzn","U7g4x0WXJJ"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","fu6greOZ01","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1743","layer":4},{"info":"compute unary expreesion, input=1743, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2274","layer":3},{"info":"number node, value=7889","layer":4},{"info":"compute unary expreesion, input=7889, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-7616","layer":3},{"info":"compute binary expreesion, left_input=2274, right_input=-7616, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-5342","layer":2},{"info":"number node, value=2143","layer":4},{"info":"compute unary expreesion, input=2143, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-5342, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=4307","layer":4},{"info":"number node, value=3985","layer":4},{"info":"compute binary expreesion, left_input=4307, right_input=3985, op_id = k8jYdgA6NY binary_op_definition= 'None', output=322","layer":3},{"info":"number node, value=4182","layer":4},{"info":"compute unary expreesion, input=4182, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=322, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=1544","layer":4},{"info":"number node, value=1259","layer":4},{"info":"compute binary expreesion, left_input=1544, right_input=1259, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2518","layer":3},{"info":"number node, value=6565","layer":4},{"info":"number node, value=1111","layer":4},{"info":"compute binary expreesion, left_input=6565, right_input=1111, 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=2518, 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 = 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 = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":10,"result_base":10,"text":"(≉⊺⇮1743)⪛(↔⊺⇮7889)⇼⇔∾(⊥(⊥⊺⇮2143))*((⊺⇮4307%⊺⇮3985)⊴(↣≠⋷⊺⇮4182)⫡⨏⊺⇮1544⇷⊺⇮1259⊭↱⊺⇮6565∑⇟⊟⊺⇮1111)=NaN","reverse_text":"NaN=(≉⊺⇮1743)⪛(↔⊺⇮7889)⇼⇔∾(⊥(⊥⊺⇮2143))*((⊺⇮4307%⊺⇮3985)⊴(↣≠⋷⊺⇮4182)⫡⨏⊺⇮1544⇷⊺⇮1259⊭↱⊺⇮6565∑⇟⊟⊺⇮1111)","cot":[{"info":"≉⊺⇮1743=⊺⇮2274","layer":3},{"info":"↔⊺⇮7889=⊺⇮-7616","layer":3},{"info":"⊺⇮2274⪛⊺⇮-7616=⊺⇮-5342","layer":2},{"info":"⊥⊺⇮2143=NaN","layer":3},{"info":"⊥NaN=NaN","layer":2},{"info":"⊺⇮-5342⇼⇔∾NaN=NaN","layer":1},{"info":"⊺⇮4307%⊺⇮3985=⊺⇮322","layer":3},{"info":"↣≠⋷⊺⇮4182=NaN","layer":3},{"info":"⊺⇮322⊴NaN=NaN","layer":2},{"info":"⊺⇮1544⇷⊺⇮1259=⊺⇮2518","layer":3},{"info":"⊺⇮6565∑⇟⊟⊺⇮1111=NaN","layer":3},{"info":"⊺⇮2518⊭↱NaN=NaN","layer":2},{"info":"NaN⫡⨏NaN=NaN","layer":1},{"info":"NaN*NaN=NaN","layer":0}]}
{"id":889,"expression_no_base_symbol":"(($1102$∸)⋥≓≎$8504$⪛$2680$⋷$1138$⇷$1270$⋝⋈⪟$1106$⪢$6040$)⪢(($3868$⋫)≎⊠⪸($2556$↙$1760$)⪨≂(↯⪼$7726$)∑⇟⊟($1147$↺$1730$))","expression":"((⊺⇮1102∸)⋥≓≎⊺⇮8504⪛⊺⇮2680⋷⊺⇮1138⇷⊺⇮1270⋝⋈⪟⊺⇮1106⪢⊺⇮6040)⪢((⊺⇮3868⋫)≎⊠⪸(⊺⇮2556↙⊺⇮1760)⪨≂(↯⪼⊺⇮7726)∑⇟⊟(⊺⇮1147↺⊺⇮1730))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":27853,"operation_count":15,"complexity_ratio":1856.8666666666666,"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":1102,"base":10}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":8504,"base":10},"right_expr":{"type":"numeric_atoms","value":2680,"base":10}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1138,"base":10},"right_expr":{"type":"numeric_atoms","value":1270,"base":10}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1106,"base":10},"right_expr":{"type":"numeric_atoms","value":6040,"base":10}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":3868,"base":10}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2556,"base":10},"right_expr":{"type":"numeric_atoms","value":1760,"base":10}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":7726,"base":10}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1147,"base":10},"right_expr":{"type":"numeric_atoms","value":1730,"base":10}}}}},"used_operators":["dWAJyo7jo9","23Mk6UjR3U","Qy55tPpLXF","o20kRiQErp","uFcxV4UQCh","2DDjHMKMc0","mp7IySMOzn","sdazOOVcIp","bJkvcejdHO","JL8yIekQnl","yyfyN0ffXY","U7g4x0WXJJ","8jW3W4yZS5","7j4O788W3g"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","tmPS8pqC7x","tmPS8pqC7x","DpFCA1CohY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1102","layer":4},{"info":"compute unary expreesion, input=1102, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=8504","layer":4},{"info":"number node, value=2680","layer":4},{"info":"compute binary expreesion, left_input=8504, right_input=2680, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=464","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=464, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=784","layer":2},{"info":"number node, value=1138","layer":4},{"info":"number node, value=1270","layer":4},{"info":"compute binary expreesion, left_input=1138, right_input=1270, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2540","layer":3},{"info":"number node, value=1106","layer":4},{"info":"number node, value=6040","layer":4},{"info":"compute binary expreesion, left_input=1106, right_input=6040, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=2540, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=784, 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=3868","layer":4},{"info":"compute unary expreesion, input=3868, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=3868","layer":3},{"info":"number node, value=2556","layer":4},{"info":"number node, value=1760","layer":4},{"info":"compute binary expreesion, left_input=2556, right_input=1760, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5280","layer":3},{"info":"compute binary expreesion, left_input=3868, right_input=-5280, 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=7726","layer":4},{"info":"compute unary expreesion, input=7726, 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=1147","layer":4},{"info":"number node, value=1730","layer":4},{"info":"compute binary expreesion, left_input=1147, right_input=1730, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1730","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=1730, 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=67, 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":10,"result_base":10,"text":"((⊺⇮1102∸)⋥≓≎⊺⇮8504⪛⊺⇮2680⋷⊺⇮1138⇷⊺⇮1270⋝⋈⪟⊺⇮1106⪢⊺⇮6040)⪢((⊺⇮3868⋫)≎⊠⪸(⊺⇮2556↙⊺⇮1760)⪨≂(↯⪼⊺⇮7726)∑⇟⊟(⊺⇮1147↺⊺⇮1730))=NaN","reverse_text":"NaN=((⊺⇮1102∸)⋥≓≎⊺⇮8504⪛⊺⇮2680⋷⊺⇮1138⇷⊺⇮1270⋝⋈⪟⊺⇮1106⪢⊺⇮6040)⪢((⊺⇮3868⋫)≎⊠⪸(⊺⇮2556↙⊺⇮1760)⪨≂(↯⪼⊺⇮7726)∑⇟⊟(⊺⇮1147↺⊺⇮1730))","cot":[{"info":"⊺⇮1102∸=⊺⇮177","layer":3},{"info":"⊺⇮8504⪛⊺⇮2680=⊺⇮464","layer":3},{"info":"⊺⇮177⋥≓≎⊺⇮464=⊺⇮784","layer":2},{"info":"⊺⇮1138⇷⊺⇮1270=⊺⇮2540","layer":3},{"info":"⊺⇮1106⪢⊺⇮6040=NaN","layer":3},{"info":"⊺⇮2540⋝⋈⪟NaN=NaN","layer":2},{"info":"⊺⇮784⋷NaN=NaN","layer":1},{"info":"⊺⇮3868⋫=⊺⇮3868","layer":3},{"info":"⊺⇮2556↙⊺⇮1760=⊺⇮-5280","layer":3},{"info":"⊺⇮3868≎⊠⪸⊺⇮-5280=⊺⇮67","layer":2},{"info":"↯⪼⊺⇮7726=⊺⇮-21","layer":3},{"info":"⊺⇮1147↺⊺⇮1730=⊺⇮1730","layer":3},{"info":"⊺⇮-21∑⇟⊟⊺⇮1730=NaN","layer":2},{"info":"⊺⇮67⪨≂NaN=NaN","layer":1},{"info":"NaN⪢NaN=NaN","layer":0}]}
{"id":890,"expression_no_base_symbol":"(($1089$↙$3825$)⨓($2851$⨐⩸⫘$4187$))⪘⫢($3525$⋝⋈⪟$1107$⨵⪆$2023$⋥≓≎$3164$)%(↣≠⋷((↩$3216$)⋷$6599$∑⇟⊟$2770$))","expression":"((⊺⇮1089↙⊺⇮3825)⨓(⊺⇮2851⨐⩸⫘⊺⇮4187))⪘⫢(⊺⇮3525⋝⋈⪟⊺⇮1107⨵⪆⊺⇮2023⋥≓≎⊺⇮3164)%(↣≠⋷((↩⊺⇮3216)⋷⊺⇮6599∑⇟⊟⊺⇮2770))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3876,"operation_count":12,"complexity_ratio":323.0,"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":1089,"base":10},"right_expr":{"type":"numeric_atoms","value":3825,"base":10}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2851,"base":10},"right_expr":{"type":"numeric_atoms","value":4187,"base":10}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3525,"base":10},"right_expr":{"type":"numeric_atoms","value":1107,"base":10}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2023,"base":10},"right_expr":{"type":"numeric_atoms","value":3164,"base":10}}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":3216,"base":10}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":6599,"base":10},"right_expr":{"type":"numeric_atoms","value":2770,"base":10}}}}},"used_operators":["k8jYdgA6NY","oacrs7FA3X","3ViojmjbAp","yyfyN0ffXY","fu6greOZ01","2DQ55sFlQl","2DDjHMKMc0","Qy55tPpLXF","Asc51vEJeQ","23Mk6UjR3U","jLgFTUHLKL","U7g4x0WXJJ"],"dependent_operators":["rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","tmPS8pqC7x","DpFCA1CohY","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1089","layer":4},{"info":"number node, value=3825","layer":4},{"info":"compute binary expreesion, left_input=1089, right_input=3825, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-11475","layer":3},{"info":"number node, value=2851","layer":4},{"info":"number node, value=4187","layer":4},{"info":"compute binary expreesion, left_input=2851, right_input=4187, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=-11475, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"number node, value=3525","layer":4},{"info":"number node, value=1107","layer":4},{"info":"compute binary expreesion, left_input=3525, right_input=1107, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3525","layer":3},{"info":"number node, value=2023","layer":4},{"info":"number node, value=3164","layer":4},{"info":"compute binary expreesion, left_input=2023, right_input=3164, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=4338","layer":3},{"info":"compute binary expreesion, left_input=3525, right_input=4338, 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 = 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=3216","layer":4},{"info":"compute unary expreesion, input=3216, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-22948","layer":3},{"info":"number node, value=6599","layer":4},{"info":"number node, value=2770","layer":4},{"info":"compute binary expreesion, left_input=6599, right_input=2770, 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=-22948, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=45896","layer":2},{"info":"compute unary expreesion, input=45896, 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 = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1089↙⊺⇮3825)⨓(⊺⇮2851⨐⩸⫘⊺⇮4187))⪘⫢(⊺⇮3525⋝⋈⪟⊺⇮1107⨵⪆⊺⇮2023⋥≓≎⊺⇮3164)%(↣≠⋷((↩⊺⇮3216)⋷⊺⇮6599∑⇟⊟⊺⇮2770))=NaN","reverse_text":"NaN=((⊺⇮1089↙⊺⇮3825)⨓(⊺⇮2851⨐⩸⫘⊺⇮4187))⪘⫢(⊺⇮3525⋝⋈⪟⊺⇮1107⨵⪆⊺⇮2023⋥≓≎⊺⇮3164)%(↣≠⋷((↩⊺⇮3216)⋷⊺⇮6599∑⇟⊟⊺⇮2770))","cot":[{"info":"⊺⇮1089↙⊺⇮3825=⊺⇮-11475","layer":3},{"info":"⊺⇮2851⨐⩸⫘⊺⇮4187=NaN","layer":3},{"info":"⊺⇮-11475⨓NaN=NaN","layer":2},{"info":"⊺⇮3525⋝⋈⪟⊺⇮1107=⊺⇮3525","layer":3},{"info":"⊺⇮2023⋥≓≎⊺⇮3164=⊺⇮4338","layer":3},{"info":"⊺⇮3525⨵⪆⊺⇮4338=⊺⇮160","layer":2},{"info":"NaN⪘⫢⊺⇮160=NaN","layer":1},{"info":"↩⊺⇮3216=⊺⇮-22948","layer":3},{"info":"⊺⇮6599∑⇟⊟⊺⇮2770=NaN","layer":3},{"info":"⊺⇮-22948⋷NaN=⊺⇮45896","layer":2},{"info":"↣≠⋷⊺⇮45896=NaN","layer":1},{"info":"NaN%NaN=NaN","layer":0}]}
{"id":891,"expression_no_base_symbol":"(-($4059$⨵⪆$8141$)≹⇙⪍(⇁⨣⪵$3395$))⪒(↯⪼((⊥$1123$)⋷$4356$⨸⪁$1113$))","expression":"(-(⊺⇮4059⨵⪆⊺⇮8141)≹⇙⪍(⇁⨣⪵⊺⇮3395))⪒(↯⪼((⊥⊺⇮1123)⋷⊺⇮4356⨸⪁⊺⇮1113))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":44,"operation_count":9,"complexity_ratio":4.888888888888889,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":4059,"base":10},"right_expr":{"type":"numeric_atoms","value":8141,"base":10}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":3395,"base":10}}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1123,"base":10}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4356,"base":10},"right_expr":{"type":"numeric_atoms","value":1113,"base":10}}}}},"used_operators":["f6k1SAg4EE","t8gj7n24qd","AHs5Up7iyr","2DQ55sFlQl","inkyxCbjAn","8jW3W4yZS5","23Mk6UjR3U","Q3PJZHRvZv","g55IO6H4Gj"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4059","layer":4},{"info":"number node, value=8141","layer":4},{"info":"compute binary expreesion, left_input=4059, right_input=8141, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=3395","layer":4},{"info":"compute unary expreesion, input=3395, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":1},{"info":"number node, value=1123","layer":4},{"info":"compute unary expreesion, input=1123, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=4356","layer":4},{"info":"number node, value=1113","layer":4},{"info":"compute binary expreesion, left_input=4356, right_input=1113, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10938","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=10938, 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 = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-21, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(-(⊺⇮4059⨵⪆⊺⇮8141)≹⇙⪍(⇁⨣⪵⊺⇮3395))⪒(↯⪼((⊥⊺⇮1123)⋷⊺⇮4356⨸⪁⊺⇮1113))=NaN","reverse_text":"NaN=(-(⊺⇮4059⨵⪆⊺⇮8141)≹⇙⪍(⇁⨣⪵⊺⇮3395))⪒(↯⪼((⊥⊺⇮1123)⋷⊺⇮4356⨸⪁⊺⇮1113))","cot":[{"info":"⊺⇮4059⨵⪆⊺⇮8141=⊺⇮160","layer":3},{"info":"⇁⨣⪵⊺⇮3395=NaN","layer":3},{"info":"⊺⇮160≹⇙⪍NaN=NaN","layer":2},{"info":"-NaN=NaN","layer":1},{"info":"⊥⊺⇮1123=NaN","layer":3},{"info":"⊺⇮4356⨸⪁⊺⇮1113=⊺⇮10938","layer":3},{"info":"NaN⋷⊺⇮10938=NaN","layer":2},{"info":"↯⪼NaN=⊺⇮-21","layer":1},{"info":"NaN⪒⊺⇮-21=NaN","layer":0}]}
{"id":892,"expression_no_base_symbol":"($1904$+⇶⊼$7123$+⇶⊼$1033$⨰$1473$⊭↱($1303$⨎$2369$⪨≂$2764$⋓$4855$))⋳⪒(⋗⩬⋾($1733$∑⇟⊟$1434$⫡⨏(≦∁$3323$)))","expression":"(⊺⇮1904+⇶⊼⊺⇮7123+⇶⊼⊺⇮1033⨰⊺⇮1473⊭↱(⊺⇮1303⨎⊺⇮2369⪨≂⊺⇮2764⋓⊺⇮4855))⋳⪒(⋗⩬⋾(⊺⇮1733∑⇟⊟⊺⇮1434⫡⨏(≦∁⊺⇮3323)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":52,"operation_count":12,"complexity_ratio":4.333333333333333,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1904,"base":10},"right_expr":{"type":"numeric_atoms","value":7123,"base":10}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1033,"base":10},"right_expr":{"type":"numeric_atoms","value":1473,"base":10}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1303,"base":10},"right_expr":{"type":"numeric_atoms","value":2369,"base":10}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2764,"base":10},"right_expr":{"type":"numeric_atoms","value":4855,"base":10}}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1733,"base":10},"right_expr":{"type":"numeric_atoms","value":1434,"base":10}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":3323,"base":10}}}}},"used_operators":["12rbrZMWeM","COABgblf1C","TpPTUOHfaN","eewbuw0ToL","sdazOOVcIp","rJVOvQCfKK","T2fj7uvVaJ","DpFCA1CohY","QMFrweE19q","U7g4x0WXJJ","9ICcGScMcE"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=1904","layer":4},{"info":"number node, value=7123","layer":4},{"info":"compute binary expreesion, left_input=1904, right_input=7123, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=1033","layer":4},{"info":"number node, value=1473","layer":4},{"info":"compute binary expreesion, left_input=1033, right_input=1473, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-430","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-430, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=1303","layer":4},{"info":"number node, value=2369","layer":4},{"info":"compute binary expreesion, left_input=1303, right_input=2369, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2369","layer":3},{"info":"number node, value=2764","layer":4},{"info":"number node, value=4855","layer":4},{"info":"compute binary expreesion, left_input=2764, right_input=4855, op_id = T2fj7uvVaJ binary_op_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=2369, 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=4840","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4840, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"number node, value=1733","layer":4},{"info":"number node, value=1434","layer":4},{"info":"compute binary expreesion, left_input=1733, right_input=1434, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=3323","layer":4},{"info":"compute unary expreesion, input=3323, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3323","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3323, op_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 = 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 = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1904+⇶⊼⊺⇮7123+⇶⊼⊺⇮1033⨰⊺⇮1473⊭↱(⊺⇮1303⨎⊺⇮2369⪨≂⊺⇮2764⋓⊺⇮4855))⋳⪒(⋗⩬⋾(⊺⇮1733∑⇟⊟⊺⇮1434⫡⨏(≦∁⊺⇮3323)))=NaN","reverse_text":"NaN=(⊺⇮1904+⇶⊼⊺⇮7123+⇶⊼⊺⇮1033⨰⊺⇮1473⊭↱(⊺⇮1303⨎⊺⇮2369⪨≂⊺⇮2764⋓⊺⇮4855))⋳⪒(⋗⩬⋾(⊺⇮1733∑⇟⊟⊺⇮1434⫡⨏(≦∁⊺⇮3323)))","cot":[{"info":"⊺⇮1904+⇶⊼⊺⇮7123=NaN","layer":3},{"info":"⊺⇮1033⨰⊺⇮1473=⊺⇮-430","layer":3},{"info":"NaN+⇶⊼⊺⇮-430=NaN","layer":2},{"info":"⊺⇮1303⨎⊺⇮2369=⊺⇮2369","layer":3},{"info":"⊺⇮2764⋓⊺⇮4855=⊺⇮0","layer":3},{"info":"⊺⇮2369⪨≂⊺⇮0=⊺⇮4840","layer":2},{"info":"NaN⊭↱⊺⇮4840=NaN","layer":1},{"info":"⊺⇮1733∑⇟⊟⊺⇮1434=NaN","layer":3},{"info":"≦∁⊺⇮3323=⊺⇮3323","layer":3},{"info":"NaN⫡⨏⊺⇮3323=NaN","layer":2},{"info":"⋗⩬⋾NaN=NaN","layer":1},{"info":"NaN⋳⪒NaN=NaN","layer":0}]}
{"id":893,"expression_no_base_symbol":"(($2409$≋⫹)⋓(↣≠⋷$1700$))≹⇙⪍(($5059$⪒$3387$)⩚⊴⇥$3238$⩷∴$2626$)⪨≂(≦∁$1217$⨰$4048$)-$1307$⨪↰⇹$3261$↺($1733$⫸⊐$5048$)","expression":"((⊺⇮2409≋⫹)⋓(↣≠⋷⊺⇮1700))≹⇙⪍((⊺⇮5059⪒⊺⇮3387)⩚⊴⇥⊺⇮3238⩷∴⊺⇮2626)⪨≂(≦∁⊺⇮1217⨰⊺⇮4048)-⊺⇮1307⨪↰⇹⊺⇮3261↺(⊺⇮1733⫸⊐⊺⇮5048)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1412,"operation_count":14,"complexity_ratio":100.85714285714286,"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":2409,"base":10}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1700,"base":10}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":5059,"base":10},"right_expr":{"type":"numeric_atoms","value":3387,"base":10}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3238,"base":10},"right_expr":{"type":"numeric_atoms","value":2626,"base":10}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1217,"base":10},"right_expr":{"type":"numeric_atoms","value":4048,"base":10}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1307,"base":10},"right_expr":{"type":"numeric_atoms","value":3261,"base":10}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1733,"base":10},"right_expr":{"type":"numeric_atoms","value":5048,"base":10}}}}},"used_operators":["sdazOOVcIp","AHs5Up7iyr","T2fj7uvVaJ","N41Kp7NANJ","Asc51vEJeQ","NTOWxs364D","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","9ICcGScMcE","eewbuw0ToL","7j4O788W3g","tmPS8pqC7x","mqXw5SEYmG"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2409","layer":4},{"info":"compute unary expreesion, input=2409, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-4818","layer":3},{"info":"number node, value=1700","layer":4},{"info":"compute unary expreesion, input=1700, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4818, 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=5059","layer":4},{"info":"number node, value=3387","layer":4},{"info":"compute binary expreesion, left_input=5059, right_input=3387, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8446","layer":3},{"info":"number node, value=3238","layer":4},{"info":"number node, value=2626","layer":4},{"info":"compute binary expreesion, left_input=3238, right_input=2626, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1192","layer":3},{"info":"compute binary expreesion, left_input=-8446, right_input=1192, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=7133","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=7133, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=1217","layer":4},{"info":"number node, value=4048","layer":4},{"info":"compute binary expreesion, left_input=1217, right_input=4048, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2821","layer":3},{"info":"compute unary expreesion, input=-2821, 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=1307","layer":4},{"info":"number node, value=3261","layer":4},{"info":"compute binary expreesion, left_input=1307, right_input=3261, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1307","layer":3},{"info":"number node, value=1733","layer":4},{"info":"number node, value=5048","layer":4},{"info":"compute binary expreesion, left_input=1733, right_input=5048, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=20067","layer":3},{"info":"compute binary expreesion, left_input=1307, right_input=20067, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=20067","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=20067, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-20000","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-20000, op_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":10,"result_base":10,"text":"((⊺⇮2409≋⫹)⋓(↣≠⋷⊺⇮1700))≹⇙⪍((⊺⇮5059⪒⊺⇮3387)⩚⊴⇥⊺⇮3238⩷∴⊺⇮2626)⪨≂(≦∁⊺⇮1217⨰⊺⇮4048)-⊺⇮1307⨪↰⇹⊺⇮3261↺(⊺⇮1733⫸⊐⊺⇮5048)=NaN","reverse_text":"NaN=((⊺⇮2409≋⫹)⋓(↣≠⋷⊺⇮1700))≹⇙⪍((⊺⇮5059⪒⊺⇮3387)⩚⊴⇥⊺⇮3238⩷∴⊺⇮2626)⪨≂(≦∁⊺⇮1217⨰⊺⇮4048)-⊺⇮1307⨪↰⇹⊺⇮3261↺(⊺⇮1733⫸⊐⊺⇮5048)","cot":[{"info":"⊺⇮2409≋⫹=⊺⇮-4818","layer":3},{"info":"↣≠⋷⊺⇮1700=NaN","layer":3},{"info":"⊺⇮-4818⋓NaN=NaN","layer":2},{"info":"⊺⇮5059⪒⊺⇮3387=⊺⇮-8446","layer":3},{"info":"⊺⇮3238⩷∴⊺⇮2626=⊺⇮1192","layer":3},{"info":"⊺⇮-8446⩚⊴⇥⊺⇮1192=⊺⇮7133","layer":2},{"info":"NaN≹⇙⪍⊺⇮7133=NaN","layer":1},{"info":"⊺⇮1217⨰⊺⇮4048=⊺⇮-2821","layer":3},{"info":"≦∁⊺⇮-2821=⊺⇮67","layer":2},{"info":"⊺⇮1307⨪↰⇹⊺⇮3261=⊺⇮1307","layer":3},{"info":"⊺⇮1733⫸⊐⊺⇮5048=⊺⇮20067","layer":3},{"info":"⊺⇮1307↺⊺⇮20067=⊺⇮20067","layer":2},{"info":"⊺⇮67-⊺⇮20067=⊺⇮-20000","layer":1},{"info":"NaN⪨≂⊺⇮-20000=NaN","layer":0}]}
{"id":894,"expression_no_base_symbol":"($1017$↬$4373$/$1055$⪢$5143$)≹⇙⪍(↥(≉$1749$))∀⇚≩((($1322$⊭∹↮)⋷(↽≂$2691$))⫥∨⫟(⨞⊢$3926$)+⇶⊼(+⊝⨔$2805$))","expression":"(⊺⇮1017↬⊺⇮4373/⊺⇮1055⪢⊺⇮5143)≹⇙⪍(↥(≉⊺⇮1749))∀⇚≩(((⊺⇮1322⊭∹↮)⋷(↽≂⊺⇮2691))⫥∨⫟(⨞⊢⊺⇮3926)+⇶⊼(+⊝⨔⊺⇮2805))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6697,"operation_count":14,"complexity_ratio":478.35714285714283,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1017,"base":10},"right_expr":{"type":"numeric_atoms","value":4373,"base":10}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1055,"base":10},"right_expr":{"type":"numeric_atoms","value":5143,"base":10}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1749,"base":10}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1322,"base":10}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2691,"base":10}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":3926,"base":10}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2805,"base":10}}}}},"used_operators":["LRNGc0VcxI","AHs5Up7iyr","XhwjNDsVaA","B5M0gjZbta","dWAJyo7jo9","A8NUZmVepG","e1ybzncUwg","KYD54nUTWz","23Mk6UjR3U","xNBdhnnwKq","u6S6b8DprG","TpPTUOHfaN","xUOZtlo3hN","DhbWaqg5eL"],"dependent_operators":["X99M06cbEe","dWAJyo7jo9","rysDP5nf3Z","rGHVDoGpnC","k8jYdgA6NY","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1017","layer":4},{"info":"number node, value=4373","layer":4},{"info":"compute binary expreesion, left_input=1017, right_input=4373, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1055","layer":4},{"info":"number node, value=5143","layer":4},{"info":"compute binary expreesion, left_input=1055, right_input=5143, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1749","layer":4},{"info":"compute unary expreesion, input=1749, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2280","layer":3},{"info":"compute unary expreesion, input=2280, 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 = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=1322","layer":4},{"info":"compute unary expreesion, input=1322, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2644","layer":3},{"info":"number node, value=2691","layer":4},{"info":"compute unary expreesion, input=2691, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-5382","layer":3},{"info":"compute binary expreesion, left_input=2644, right_input=-5382, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-13408","layer":2},{"info":"number node, value=3926","layer":4},{"info":"compute unary expreesion, input=3926, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-4100","layer":3},{"info":"number node, value=2805","layer":4},{"info":"compute unary expreesion, input=2805, 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=-4100, 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=-13408, 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 = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":10,"result_base":10,"text":"(⊺⇮1017↬⊺⇮4373/⊺⇮1055⪢⊺⇮5143)≹⇙⪍(↥(≉⊺⇮1749))∀⇚≩(((⊺⇮1322⊭∹↮)⋷(↽≂⊺⇮2691))⫥∨⫟(⨞⊢⊺⇮3926)+⇶⊼(+⊝⨔⊺⇮2805))=NaN","reverse_text":"NaN=(⊺⇮1017↬⊺⇮4373/⊺⇮1055⪢⊺⇮5143)≹⇙⪍(↥(≉⊺⇮1749))∀⇚≩(((⊺⇮1322⊭∹↮)⋷(↽≂⊺⇮2691))⫥∨⫟(⨞⊢⊺⇮3926)+⇶⊼(+⊝⨔⊺⇮2805))","cot":[{"info":"⊺⇮1017↬⊺⇮4373=NaN","layer":3},{"info":"⊺⇮1055⪢⊺⇮5143=NaN","layer":3},{"info":"NaN/NaN=NaN","layer":2},{"info":"≉⊺⇮1749=⊺⇮2280","layer":3},{"info":"↥⊺⇮2280=⊺⇮36","layer":2},{"info":"NaN≹⇙⪍⊺⇮36=NaN","layer":1},{"info":"⊺⇮1322⊭∹↮=⊺⇮2644","layer":3},{"info":"↽≂⊺⇮2691=⊺⇮-5382","layer":3},{"info":"⊺⇮2644⋷⊺⇮-5382=⊺⇮-13408","layer":2},{"info":"⨞⊢⊺⇮3926=⊺⇮-4100","layer":3},{"info":"+⊝⨔⊺⇮2805=⊺⇮1522","layer":3},{"info":"⊺⇮-4100+⇶⊼⊺⇮1522=NaN","layer":2},{"info":"⊺⇮-13408⫥∨⫟NaN=NaN","layer":1},{"info":"NaN∀⇚≩NaN=NaN","layer":0}]}
{"id":895,"expression_no_base_symbol":"(((∥⊫$2048$)⋳⪒($3427$∲⫓$3576$))⋓($2317$⪮%⊝$2967$⇼⇔∾(⇁⨣⪵$5708$)))≦≮≮","expression":"(((∥⊫⊺⇮2048)⋳⪒(⊺⇮3427∲⫓⊺⇮3576))⋓(⊺⇮2317⪮%⊝⊺⇮2967⇼⇔∾(⇁⨣⪵⊺⇮5708)))≦≮≮","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":41,"operation_count":8,"complexity_ratio":5.125,"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":2048,"base":10}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3427,"base":10},"right_expr":{"type":"numeric_atoms","value":3576,"base":10}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2317,"base":10},"right_expr":{"type":"numeric_atoms","value":2967,"base":10}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":5708,"base":10}}}}},"used_operators":["D4vGDi5EA2","T2fj7uvVaJ","12rbrZMWeM","P8v4zCKN1o","i8ToyICDmI","tifHPKVTfV","IWmyXbctLI","inkyxCbjAn"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=2048","layer":4},{"info":"compute unary expreesion, input=2048, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2916","layer":3},{"info":"number node, value=3427","layer":4},{"info":"number node, value=3576","layer":4},{"info":"compute binary expreesion, left_input=3427, right_input=3576, 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=2916, right_input=0, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=5545","layer":2},{"info":"number node, value=2317","layer":4},{"info":"number node, value=2967","layer":4},{"info":"compute binary expreesion, left_input=2317, right_input=2967, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4950","layer":3},{"info":"number node, value=5708","layer":4},{"info":"compute unary expreesion, input=5708, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4950, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=5545, 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 = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((∥⊫⊺⇮2048)⋳⪒(⊺⇮3427∲⫓⊺⇮3576))⋓(⊺⇮2317⪮%⊝⊺⇮2967⇼⇔∾(⇁⨣⪵⊺⇮5708)))≦≮≮=NaN","reverse_text":"NaN=(((∥⊫⊺⇮2048)⋳⪒(⊺⇮3427∲⫓⊺⇮3576))⋓(⊺⇮2317⪮%⊝⊺⇮2967⇼⇔∾(⇁⨣⪵⊺⇮5708)))≦≮≮","cot":[{"info":"∥⊫⊺⇮2048=⊺⇮2916","layer":3},{"info":"⊺⇮3427∲⫓⊺⇮3576=⊺⇮0","layer":3},{"info":"⊺⇮2916⋳⪒⊺⇮0=⊺⇮5545","layer":2},{"info":"⊺⇮2317⪮%⊝⊺⇮2967=⊺⇮4950","layer":3},{"info":"⇁⨣⪵⊺⇮5708=NaN","layer":3},{"info":"⊺⇮4950⇼⇔∾NaN=NaN","layer":2},{"info":"⊺⇮5545⋓NaN=NaN","layer":1},{"info":"NaN≦≮≮=NaN","layer":0}]}
{"id":896,"expression_no_base_symbol":"(↽≂$2758$⩚⊴⇥$1907$)⨪↰⇹(∂($4386$⫡⨏$7176$))+(≦∁(↩$2821$))≧⫂∧($1632$⋷$4722$)∑⇟⊟($7603$≭$9049$)","expression":"(↽≂⊺⇮2758⩚⊴⇥⊺⇮1907)⨪↰⇹(∂(⊺⇮4386⫡⨏⊺⇮7176))+(≦∁(↩⊺⇮2821))≧⫂∧(⊺⇮1632⋷⊺⇮4722)∑⇟⊟(⊺⇮7603≭⊺⇮9049)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":9700,"operation_count":12,"complexity_ratio":808.3333333333334,"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":2758,"base":10},"right_expr":{"type":"numeric_atoms","value":1907,"base":10}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4386,"base":10},"right_expr":{"type":"numeric_atoms","value":7176,"base":10}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":2821,"base":10}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1632,"base":10},"right_expr":{"type":"numeric_atoms","value":4722,"base":10}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":7603,"base":10},"right_expr":{"type":"numeric_atoms","value":9049,"base":10}}}}},"used_operators":["W4YGzv6Whe","tmPS8pqC7x","u6S6b8DprG","NTOWxs364D","Uaa54Peajs","QMFrweE19q","Ph9nP6C5qx","9ICcGScMcE","jLgFTUHLKL","U7g4x0WXJJ","23Mk6UjR3U","rxpJgHHUmx"],"dependent_operators":["rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2758","layer":4},{"info":"number node, value=1907","layer":4},{"info":"compute binary expreesion, left_input=2758, right_input=1907, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4786","layer":3},{"info":"compute unary expreesion, input=-4786, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=9572","layer":2},{"info":"number node, value=4386","layer":4},{"info":"number node, value=7176","layer":4},{"info":"compute binary expreesion, left_input=4386, right_input=7176, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=37065","layer":3},{"info":"compute unary expreesion, input=37065, 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=9572, 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=9572","layer":1},{"info":"number node, value=2821","layer":4},{"info":"compute unary expreesion, input=2821, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-19788","layer":3},{"info":"compute unary expreesion, input=-19788, 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=1632","layer":4},{"info":"number node, value=4722","layer":4},{"info":"compute binary expreesion, left_input=1632, right_input=4722, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=7812","layer":3},{"info":"number node, value=7603","layer":4},{"info":"number node, value=9049","layer":4},{"info":"compute binary expreesion, left_input=7603, right_input=9049, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=7812, 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=67, 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=9572, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":10,"result_base":10,"text":"(↽≂⊺⇮2758⩚⊴⇥⊺⇮1907)⨪↰⇹(∂(⊺⇮4386⫡⨏⊺⇮7176))+(≦∁(↩⊺⇮2821))≧⫂∧(⊺⇮1632⋷⊺⇮4722)∑⇟⊟(⊺⇮7603≭⊺⇮9049)=NaN","reverse_text":"NaN=(↽≂⊺⇮2758⩚⊴⇥⊺⇮1907)⨪↰⇹(∂(⊺⇮4386⫡⨏⊺⇮7176))+(≦∁(↩⊺⇮2821))≧⫂∧(⊺⇮1632⋷⊺⇮4722)∑⇟⊟(⊺⇮7603≭⊺⇮9049)","cot":[{"info":"⊺⇮2758⩚⊴⇥⊺⇮1907=⊺⇮-4786","layer":3},{"info":"↽≂⊺⇮-4786=⊺⇮9572","layer":2},{"info":"⊺⇮4386⫡⨏⊺⇮7176=⊺⇮37065","layer":3},{"info":"∂⊺⇮37065=NaN","layer":2},{"info":"⊺⇮9572⨪↰⇹NaN=⊺⇮9572","layer":1},{"info":"↩⊺⇮2821=⊺⇮-19788","layer":3},{"info":"≦∁⊺⇮-19788=⊺⇮67","layer":2},{"info":"⊺⇮1632⋷⊺⇮4722=⊺⇮7812","layer":3},{"info":"⊺⇮7603≭⊺⇮9049=NaN","layer":3},{"info":"⊺⇮7812∑⇟⊟NaN=NaN","layer":2},{"info":"⊺⇮67≧⫂∧NaN=NaN","layer":1},{"info":"⊺⇮9572+NaN=NaN","layer":0}]}
{"id":897,"expression_no_base_symbol":"⊙↵-(((↔$4960$)/$4268$⫥∨⫟$3485$)⪄($7907$⋳⪒$1617$)+⇶⊼($2184$≫≃))","expression":"⊙↵-(((↔⊺⇮4960)/⊺⇮4268⫥∨⫟⊺⇮3485)⪄(⊺⇮7907⋳⪒⊺⇮1617)+⇶⊼(⊺⇮2184≫≃))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4223,"operation_count":8,"complexity_ratio":527.875,"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":4960,"base":10}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":4268,"base":10},"right_expr":{"type":"numeric_atoms","value":3485,"base":10}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":7907,"base":10},"right_expr":{"type":"numeric_atoms","value":1617,"base":10}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":2184,"base":10}}}}},"used_operators":["oWn0xqSxBt","SUmda5xLS4","XhwjNDsVaA","ruOEQAzv1W","KYD54nUTWz","TpPTUOHfaN","12rbrZMWeM","X99M06cbEe"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","8HhzD0ZcuI","rGHVDoGpnC","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"⊺⇮-1","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4960","layer":4},{"info":"compute unary expreesion, input=4960, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-4687","layer":3},{"info":"number node, value=4268","layer":4},{"info":"number node, value=3485","layer":4},{"info":"compute binary expreesion, left_input=4268, right_input=3485, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4687, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=7907","layer":4},{"info":"number node, value=1617","layer":4},{"info":"compute binary expreesion, left_input=7907, right_input=1617, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=13910","layer":3},{"info":"number node, value=2184","layer":4},{"info":"compute unary expreesion, input=2184, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=5769","layer":3},{"info":"compute binary expreesion, left_input=13910, right_input=5769, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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":"compute unary expreesion, input=3979, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":0}],"base":10,"result_base":10,"text":"⊙↵-(((↔⊺⇮4960)/⊺⇮4268⫥∨⫟⊺⇮3485)⪄(⊺⇮7907⋳⪒⊺⇮1617)+⇶⊼(⊺⇮2184≫≃))=⊺⇮-1","reverse_text":"⊺⇮-1=⊙↵-(((↔⊺⇮4960)/⊺⇮4268⫥∨⫟⊺⇮3485)⪄(⊺⇮7907⋳⪒⊺⇮1617)+⇶⊼(⊺⇮2184≫≃))","cot":[{"info":"↔⊺⇮4960=⊺⇮-4687","layer":3},{"info":"⊺⇮4268⫥∨⫟⊺⇮3485=NaN","layer":3},{"info":"⊺⇮-4687/NaN=NaN","layer":2},{"info":"⊺⇮7907⋳⪒⊺⇮1617=⊺⇮13910","layer":3},{"info":"⊺⇮2184≫≃=⊺⇮5769","layer":3},{"info":"⊺⇮13910+⇶⊼⊺⇮5769=NaN","layer":2},{"info":"NaN⪄NaN=⊺⇮3979","layer":1},{"info":"⊙↵-⊺⇮3979=⊺⇮-1","layer":0}]}
{"id":898,"expression_no_base_symbol":"(($1175$≭$4414$)≹⇙⪍($1520$≋⫹)⊭↱($1509$↺$1971$)≧⫂∧(⨞⊢$1516$))↬(($2749$⫌⩹⨱)⨓$3388$≹⇙⪍$2123$⩷∴(≤/(↥$1677$)))","expression":"((⊺⇮1175≭⊺⇮4414)≹⇙⪍(⊺⇮1520≋⫹)⊭↱(⊺⇮1509↺⊺⇮1971)≧⫂∧(⨞⊢⊺⇮1516))↬((⊺⇮2749⫌⩹⨱)⨓⊺⇮3388≹⇙⪍⊺⇮2123⩷∴(≤/(↥⊺⇮1677)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":72,"operation_count":14,"complexity_ratio":5.142857142857143,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1175,"base":10},"right_expr":{"type":"numeric_atoms","value":4414,"base":10}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1520,"base":10}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1509,"base":10},"right_expr":{"type":"numeric_atoms","value":1971,"base":10}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1516,"base":10}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":2749,"base":10}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3388,"base":10},"right_expr":{"type":"numeric_atoms","value":2123,"base":10}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1677,"base":10}}}}},"used_operators":["B5M0gjZbta","COABgblf1C","AHs5Up7iyr","rxpJgHHUmx","N41Kp7NANJ","Ph9nP6C5qx","7j4O788W3g","xUOZtlo3hN","9FxExcQeMw","3ViojmjbAp","EBcxylXtPf","eLAdDNolq6","A8NUZmVepG"],"dependent_operators":["rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1175","layer":4},{"info":"number node, value=4414","layer":4},{"info":"compute binary expreesion, left_input=1175, right_input=4414, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=1520","layer":4},{"info":"compute unary expreesion, input=1520, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-3040","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3040, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1509","layer":4},{"info":"number node, value=1971","layer":4},{"info":"compute binary expreesion, left_input=1509, right_input=1971, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1971","layer":3},{"info":"number node, value=1516","layer":4},{"info":"compute unary expreesion, input=1516, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1690","layer":3},{"info":"compute binary expreesion, left_input=1971, right_input=-1690, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3661","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3661, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"number node, value=2749","layer":4},{"info":"compute unary expreesion, input=2749, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=6899","layer":3},{"info":"number node, value=3388","layer":4},{"info":"number node, value=2123","layer":4},{"info":"compute binary expreesion, left_input=3388, right_input=2123, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=6899, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"number node, value=1677","layer":4},{"info":"compute unary expreesion, input=1677, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=45","layer":3},{"info":"compute unary expreesion, input=45, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=439","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=439, 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 = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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":10,"result_base":10,"text":"((⊺⇮1175≭⊺⇮4414)≹⇙⪍(⊺⇮1520≋⫹)⊭↱(⊺⇮1509↺⊺⇮1971)≧⫂∧(⨞⊢⊺⇮1516))↬((⊺⇮2749⫌⩹⨱)⨓⊺⇮3388≹⇙⪍⊺⇮2123⩷∴(≤/(↥⊺⇮1677)))=NaN","reverse_text":"NaN=((⊺⇮1175≭⊺⇮4414)≹⇙⪍(⊺⇮1520≋⫹)⊭↱(⊺⇮1509↺⊺⇮1971)≧⫂∧(⨞⊢⊺⇮1516))↬((⊺⇮2749⫌⩹⨱)⨓⊺⇮3388≹⇙⪍⊺⇮2123⩷∴(≤/(↥⊺⇮1677)))","cot":[{"info":"⊺⇮1175≭⊺⇮4414=NaN","layer":3},{"info":"⊺⇮1520≋⫹=⊺⇮-3040","layer":3},{"info":"NaN≹⇙⪍⊺⇮-3040=NaN","layer":2},{"info":"⊺⇮1509↺⊺⇮1971=⊺⇮1971","layer":3},{"info":"⨞⊢⊺⇮1516=⊺⇮-1690","layer":3},{"info":"⊺⇮1971≧⫂∧⊺⇮-1690=⊺⇮3661","layer":2},{"info":"NaN⊭↱⊺⇮3661=NaN","layer":1},{"info":"⊺⇮2749⫌⩹⨱=⊺⇮6899","layer":3},{"info":"⊺⇮3388≹⇙⪍⊺⇮2123=NaN","layer":3},{"info":"⊺⇮6899⨓NaN=NaN","layer":2},{"info":"↥⊺⇮1677=⊺⇮45","layer":3},{"info":"≤/⊺⇮45=⊺⇮439","layer":2},{"info":"NaN⩷∴⊺⇮439=NaN","layer":1},{"info":"NaN↬NaN=NaN","layer":0}]}
{"id":899,"expression_no_base_symbol":"((⨞⊢$7640$)⨪↰⇹($1629$≧⫂∧$1278$)⫩⊇)⫡⨏(⊄⩳↩(⨵≀≌$2042$)⪘⫢$2496$⪛$2051$)","expression":"((⨞⊢⊺⇮7640)⨪↰⇹(⊺⇮1629≧⫂∧⊺⇮1278)⫩⊇)⫡⨏(⊄⩳↩(⨵≀≌⊺⇮2042)⪘⫢⊺⇮2496⪛⊺⇮2051)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7845,"operation_count":9,"complexity_ratio":871.6666666666666,"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":7640,"base":10}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1629,"base":10},"right_expr":{"type":"numeric_atoms","value":1278,"base":10}}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":2042,"base":10}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2496,"base":10},"right_expr":{"type":"numeric_atoms","value":2051,"base":10}}}}},"used_operators":["QMFrweE19q","BjRHVeLaeN","tmPS8pqC7x","xUOZtlo3hN","Ph9nP6C5qx","8w2t5hMYqp","oacrs7FA3X","srAu1WTS94","uFcxV4UQCh"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⊺⇮40069","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7640","layer":4},{"info":"compute unary expreesion, input=7640, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-7814","layer":3},{"info":"number node, value=1629","layer":4},{"info":"number node, value=1278","layer":4},{"info":"compute binary expreesion, left_input=1629, right_input=1278, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=805","layer":3},{"info":"compute binary expreesion, left_input=-7814, right_input=805, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=-7814","layer":2},{"info":"compute unary expreesion, input=-7814, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=7856","layer":1},{"info":"number node, value=2042","layer":4},{"info":"compute unary expreesion, input=2042, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-6126","layer":3},{"info":"number node, value=2496","layer":4},{"info":"number node, value=2051","layer":4},{"info":"compute binary expreesion, left_input=2496, right_input=2051, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=445","layer":3},{"info":"compute binary expreesion, left_input=-6126, right_input=445, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":2},{"info":"compute unary expreesion, input=-1, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=3","layer":1},{"info":"compute binary expreesion, left_input=7856, right_input=3, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=40069","layer":0}],"base":10,"result_base":10,"text":"((⨞⊢⊺⇮7640)⨪↰⇹(⊺⇮1629≧⫂∧⊺⇮1278)⫩⊇)⫡⨏(⊄⩳↩(⨵≀≌⊺⇮2042)⪘⫢⊺⇮2496⪛⊺⇮2051)=⊺⇮40069","reverse_text":"⊺⇮40069=((⨞⊢⊺⇮7640)⨪↰⇹(⊺⇮1629≧⫂∧⊺⇮1278)⫩⊇)⫡⨏(⊄⩳↩(⨵≀≌⊺⇮2042)⪘⫢⊺⇮2496⪛⊺⇮2051)","cot":[{"info":"⨞⊢⊺⇮7640=⊺⇮-7814","layer":3},{"info":"⊺⇮1629≧⫂∧⊺⇮1278=⊺⇮805","layer":3},{"info":"⊺⇮-7814⨪↰⇹⊺⇮805=⊺⇮-7814","layer":2},{"info":"⊺⇮-7814⫩⊇=⊺⇮7856","layer":1},{"info":"⨵≀≌⊺⇮2042=⊺⇮-6126","layer":3},{"info":"⊺⇮2496⪛⊺⇮2051=⊺⇮445","layer":3},{"info":"⊺⇮-6126⪘⫢⊺⇮445=⊺⇮-1","layer":2},{"info":"⊄⩳↩⊺⇮-1=⊺⇮3","layer":1},{"info":"⊺⇮7856⫡⨏⊺⇮3=⊺⇮40069","layer":0}]}
{"id":900,"expression_no_base_symbol":"((($2366$⋷$4308$)⨁⊸⫻)⨽($3974$⊪)∀⇚≩($2092$%$6796$))∼(($2583$⩨$1831$)⊴($1898$⨸⪁$2506$)∀⇚≩($1362$+⇶⊼$6900$⨐⩸⫘$6109$⇷$4282$))","expression":"(((⊺⇮2366⋷⊺⇮4308)⨁⊸⫻)⨽(⊺⇮3974⊪)∀⇚≩(⊺⇮2092%⊺⇮6796))∼((⊺⇮2583⩨⊺⇮1831)⊴(⊺⇮1898⨸⪁⊺⇮2506)∀⇚≩(⊺⇮1362+⇶⊼⊺⇮6900⨐⩸⫘⊺⇮6109⇷⊺⇮4282))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2398547,"operation_count":14,"complexity_ratio":171324.7857142857,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2366,"base":10},"right_expr":{"type":"numeric_atoms","value":4308,"base":10}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":3974,"base":10}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2092,"base":10},"right_expr":{"type":"numeric_atoms","value":6796,"base":10}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2583,"base":10},"right_expr":{"type":"numeric_atoms","value":1831,"base":10}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1898,"base":10},"right_expr":{"type":"numeric_atoms","value":2506,"base":10}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1362,"base":10},"right_expr":{"type":"numeric_atoms","value":6900,"base":10}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":6109,"base":10},"right_expr":{"type":"numeric_atoms","value":4282,"base":10}}}}},"used_operators":["DyGG3AbaNP","8HhzD0ZcuI","glklzrTFfD","23Mk6UjR3U","LRNGc0VcxI","zVYPLywUTj","k8jYdgA6NY","Nsiff2A1zJ","2DlMacCsIx","g55IO6H4Gj","fu6greOZ01","TpPTUOHfaN","mp7IySMOzn"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","3ViojmjbAp","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2366","layer":4},{"info":"number node, value=4308","layer":4},{"info":"compute binary expreesion, left_input=2366, right_input=4308, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=6250","layer":3},{"info":"compute unary expreesion, input=6250, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=6250","layer":2},{"info":"number node, value=3974","layer":4},{"info":"compute unary expreesion, input=3974, 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=2092","layer":4},{"info":"number node, value=6796","layer":4},{"info":"compute binary expreesion, left_input=2092, right_input=6796, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2092","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2092, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=2092","layer":2},{"info":"compute binary expreesion, left_input=6250, right_input=2092, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-117192462","layer":1},{"info":"number node, value=2583","layer":4},{"info":"number node, value=1831","layer":4},{"info":"compute binary expreesion, left_input=2583, right_input=1831, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=1898","layer":4},{"info":"number node, value=2506","layer":4},{"info":"compute binary expreesion, left_input=1898, right_input=2506, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=8808","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=8808, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=1362","layer":4},{"info":"number node, value=6900","layer":4},{"info":"compute binary expreesion, left_input=1362, right_input=6900, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=6109","layer":4},{"info":"number node, value=4282","layer":4},{"info":"compute binary expreesion, left_input=6109, right_input=4282, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=8564","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8564, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=-117192462, 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":10,"result_base":10,"text":"(((⊺⇮2366⋷⊺⇮4308)⨁⊸⫻)⨽(⊺⇮3974⊪)∀⇚≩(⊺⇮2092%⊺⇮6796))∼((⊺⇮2583⩨⊺⇮1831)⊴(⊺⇮1898⨸⪁⊺⇮2506)∀⇚≩(⊺⇮1362+⇶⊼⊺⇮6900⨐⩸⫘⊺⇮6109⇷⊺⇮4282))=NaN","reverse_text":"NaN=(((⊺⇮2366⋷⊺⇮4308)⨁⊸⫻)⨽(⊺⇮3974⊪)∀⇚≩(⊺⇮2092%⊺⇮6796))∼((⊺⇮2583⩨⊺⇮1831)⊴(⊺⇮1898⨸⪁⊺⇮2506)∀⇚≩(⊺⇮1362+⇶⊼⊺⇮6900⨐⩸⫘⊺⇮6109⇷⊺⇮4282))","cot":[{"info":"⊺⇮2366⋷⊺⇮4308=⊺⇮6250","layer":3},{"info":"⊺⇮6250⨁⊸⫻=⊺⇮6250","layer":2},{"info":"⊺⇮3974⊪=⊺⇮0","layer":3},{"info":"⊺⇮2092%⊺⇮6796=⊺⇮2092","layer":3},{"info":"⊺⇮0∀⇚≩⊺⇮2092=⊺⇮2092","layer":2},{"info":"⊺⇮6250⨽⊺⇮2092=⊺⇮-117192462","layer":1},{"info":"⊺⇮2583⩨⊺⇮1831=⊺⇮0","layer":3},{"info":"⊺⇮1898⨸⪁⊺⇮2506=⊺⇮8808","layer":3},{"info":"⊺⇮0⊴⊺⇮8808=NaN","layer":2},{"info":"⊺⇮1362+⇶⊼⊺⇮6900=NaN","layer":3},{"info":"⊺⇮6109⇷⊺⇮4282=⊺⇮8564","layer":3},{"info":"NaN⨐⩸⫘⊺⇮8564=NaN","layer":2},{"info":"NaN∀⇚≩NaN=NaN","layer":1},{"info":"⊺⇮-117192462∼NaN=NaN","layer":0}]}
{"id":901,"expression_no_base_symbol":"⫛⫱⨽(($2893$≧⫂∧$2074$)⪛($1271$⨳⩥⨓$2531$)∼(($3219$⫸⊐$3592$)⩷∴($2970$≧⫂∧$4946$)))","expression":"⫛⫱⨽((⊺⇮2893≧⫂∧⊺⇮2074)⪛(⊺⇮1271⨳⩥⨓⊺⇮2531)∼((⊺⇮3219⫸⊐⊺⇮3592)⩷∴(⊺⇮2970≧⫂∧⊺⇮4946)))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":959,"operation_count":8,"complexity_ratio":119.875,"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":2893,"base":10},"right_expr":{"type":"numeric_atoms","value":2074,"base":10}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1271,"base":10},"right_expr":{"type":"numeric_atoms","value":2531,"base":10}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3219,"base":10},"right_expr":{"type":"numeric_atoms","value":3592,"base":10}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2970,"base":10},"right_expr":{"type":"numeric_atoms","value":4946,"base":10}}}}},"used_operators":["DlLNRPXxWL","DyGG3AbaNP","uFcxV4UQCh","Ph9nP6C5qx","nCS4ZIUYfx","9FxExcQeMw","mqXw5SEYmG"],"dependent_operators":["rGHVDoGpnC","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2893","layer":4},{"info":"number node, value=2074","layer":4},{"info":"compute binary expreesion, left_input=2893, right_input=2074, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1601","layer":3},{"info":"number node, value=1271","layer":4},{"info":"number node, value=2531","layer":4},{"info":"compute binary expreesion, left_input=1271, right_input=2531, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1260","layer":3},{"info":"compute binary expreesion, left_input=1601, right_input=1260, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=341","layer":2},{"info":"number node, value=3219","layer":4},{"info":"number node, value=3592","layer":4},{"info":"compute binary expreesion, left_input=3219, right_input=3592, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=14243","layer":3},{"info":"number node, value=2970","layer":4},{"info":"number node, value=4946","layer":4},{"info":"compute binary expreesion, left_input=2970, right_input=4946, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4473","layer":3},{"info":"compute binary expreesion, left_input=14243, right_input=4473, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=19508","layer":2},{"info":"compute binary expreesion, left_input=341, right_input=19508, 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 = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⫛⫱⨽((⊺⇮2893≧⫂∧⊺⇮2074)⪛(⊺⇮1271⨳⩥⨓⊺⇮2531)∼((⊺⇮3219⫸⊐⊺⇮3592)⩷∴(⊺⇮2970≧⫂∧⊺⇮4946)))=NaN","reverse_text":"NaN=⫛⫱⨽((⊺⇮2893≧⫂∧⊺⇮2074)⪛(⊺⇮1271⨳⩥⨓⊺⇮2531)∼((⊺⇮3219⫸⊐⊺⇮3592)⩷∴(⊺⇮2970≧⫂∧⊺⇮4946)))","cot":[{"info":"⊺⇮2893≧⫂∧⊺⇮2074=⊺⇮1601","layer":3},{"info":"⊺⇮1271⨳⩥⨓⊺⇮2531=⊺⇮1260","layer":3},{"info":"⊺⇮1601⪛⊺⇮1260=⊺⇮341","layer":2},{"info":"⊺⇮3219⫸⊐⊺⇮3592=⊺⇮14243","layer":3},{"info":"⊺⇮2970≧⫂∧⊺⇮4946=⊺⇮4473","layer":3},{"info":"⊺⇮14243⩷∴⊺⇮4473=⊺⇮19508","layer":2},{"info":"⊺⇮341∼⊺⇮19508=NaN","layer":1},{"info":"⫛⫱⨽NaN=NaN","layer":0}]}
{"id":902,"expression_no_base_symbol":"((≤/$3349$)∼($2960$/$5803$)⫌⩹⨱)⨵⪆(∂$5162$)⩚⊴⇥($2415$⨐⩸⫘$1617$)⋳⪒(($1359$-$2048$)⪐)","expression":"((≤/⊺⇮3349)∼(⊺⇮2960/⊺⇮5803)⫌⩹⨱)⨵⪆(∂⊺⇮5162)⩚⊴⇥(⊺⇮2415⨐⩸⫘⊺⇮1617)⋳⪒((⊺⇮1359-⊺⇮2048)⪐)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":102,"operation_count":11,"complexity_ratio":9.272727272727273,"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":3349,"base":10}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2960,"base":10},"right_expr":{"type":"numeric_atoms","value":5803,"base":10}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":5162,"base":10}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2415,"base":10},"right_expr":{"type":"numeric_atoms","value":1617,"base":10}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1359,"base":10},"right_expr":{"type":"numeric_atoms","value":2048,"base":10}}}}},"used_operators":["2DQ55sFlQl","EBcxylXtPf","DyGG3AbaNP","eLAdDNolq6","XhwjNDsVaA","12rbrZMWeM","NTOWxs364D","Uaa54Peajs","fu6greOZ01","eH2TOUuTDT","rysDP5nf3Z"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮160","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3349","layer":4},{"info":"compute unary expreesion, input=3349, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2865","layer":3},{"info":"number node, value=2960","layer":4},{"info":"number node, value=5803","layer":4},{"info":"compute binary expreesion, left_input=2960, right_input=5803, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=-2865, right_input=0, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=20","layer":2},{"info":"compute unary expreesion, input=20, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=1441","layer":1},{"info":"number node, value=5162","layer":4},{"info":"compute unary expreesion, input=5162, 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=2415","layer":4},{"info":"number node, value=1617","layer":4},{"info":"compute binary expreesion, left_input=2415, right_input=1617, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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 = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"number node, value=1359","layer":4},{"info":"number node, value=2048","layer":4},{"info":"compute binary expreesion, left_input=1359, right_input=2048, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-689","layer":3},{"info":"compute unary expreesion, input=-689, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=-1378","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1378, 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=1441, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":10,"result_base":10,"text":"((≤/⊺⇮3349)∼(⊺⇮2960/⊺⇮5803)⫌⩹⨱)⨵⪆(∂⊺⇮5162)⩚⊴⇥(⊺⇮2415⨐⩸⫘⊺⇮1617)⋳⪒((⊺⇮1359-⊺⇮2048)⪐)=⊺⇮160","reverse_text":"⊺⇮160=((≤/⊺⇮3349)∼(⊺⇮2960/⊺⇮5803)⫌⩹⨱)⨵⪆(∂⊺⇮5162)⩚⊴⇥(⊺⇮2415⨐⩸⫘⊺⇮1617)⋳⪒((⊺⇮1359-⊺⇮2048)⪐)","cot":[{"info":"≤/⊺⇮3349=⊺⇮-2865","layer":3},{"info":"⊺⇮2960/⊺⇮5803=⊺⇮0","layer":3},{"info":"⊺⇮-2865∼⊺⇮0=⊺⇮20","layer":2},{"info":"⊺⇮20⫌⩹⨱=⊺⇮1441","layer":1},{"info":"∂⊺⇮5162=NaN","layer":3},{"info":"⊺⇮2415⨐⩸⫘⊺⇮1617=NaN","layer":3},{"info":"NaN⩚⊴⇥NaN=NaN","layer":2},{"info":"⊺⇮1359-⊺⇮2048=⊺⇮-689","layer":3},{"info":"⊺⇮-689⪐=⊺⇮-1378","layer":2},{"info":"NaN⋳⪒⊺⇮-1378=NaN","layer":1},{"info":"⊺⇮1441⨵⪆NaN=⊺⇮160","layer":0}]}
{"id":903,"expression_no_base_symbol":"(((↩$4074$)+(⩦⩻⨪$3792$))∸)⊴((($5442$/$1189$)≣⋋)/($4525$∀⇚≩$3335$⫡⨏$1866$⪄$7690$))","expression":"(((↩⊺⇮4074)+(⩦⩻⨪⊺⇮3792))∸)⊴(((⊺⇮5442/⊺⇮1189)≣⋋)/(⊺⇮4525∀⇚≩⊺⇮3335⫡⨏⊺⇮1866⪄⊺⇮7690))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":31993,"operation_count":11,"complexity_ratio":2908.4545454545455,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":4074,"base":10}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":3792,"base":10}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":5442,"base":10},"right_expr":{"type":"numeric_atoms","value":1189,"base":10}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4525,"base":10},"right_expr":{"type":"numeric_atoms","value":3335,"base":10}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1866,"base":10},"right_expr":{"type":"numeric_atoms","value":7690,"base":10}}}}},"used_operators":["Nsiff2A1zJ","o20kRiQErp","W4YGzv6Whe","jLgFTUHLKL","2td37pGCOC","XhwjNDsVaA","Tcnh7f0tEr","QMFrweE19q","LRNGc0VcxI","SUmda5xLS4"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","tmPS8pqC7x","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4074","layer":4},{"info":"compute unary expreesion, input=4074, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-29812","layer":3},{"info":"number node, value=3792","layer":4},{"info":"compute unary expreesion, input=3792, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=3792","layer":3},{"info":"compute binary expreesion, left_input=-29812, right_input=3792, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-26020","layer":2},{"info":"compute unary expreesion, input=-26020, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"number node, value=5442","layer":4},{"info":"number node, value=1189","layer":4},{"info":"compute binary expreesion, left_input=5442, right_input=1189, op_id = XhwjNDsVaA binary_op_definition= 'None', output=4","layer":3},{"info":"compute unary expreesion, input=4, 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=4525","layer":4},{"info":"number node, value=3335","layer":4},{"info":"compute binary expreesion, left_input=4525, right_input=3335, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1866","layer":4},{"info":"number node, value=7690","layer":4},{"info":"compute binary expreesion, left_input=1866, right_input=7690, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-303017","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-303017, op_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=0, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=177, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((↩⊺⇮4074)+(⩦⩻⨪⊺⇮3792))∸)⊴(((⊺⇮5442/⊺⇮1189)≣⋋)/(⊺⇮4525∀⇚≩⊺⇮3335⫡⨏⊺⇮1866⪄⊺⇮7690))=NaN","reverse_text":"NaN=(((↩⊺⇮4074)+(⩦⩻⨪⊺⇮3792))∸)⊴(((⊺⇮5442/⊺⇮1189)≣⋋)/(⊺⇮4525∀⇚≩⊺⇮3335⫡⨏⊺⇮1866⪄⊺⇮7690))","cot":[{"info":"↩⊺⇮4074=⊺⇮-29812","layer":3},{"info":"⩦⩻⨪⊺⇮3792=⊺⇮3792","layer":3},{"info":"⊺⇮-29812+⊺⇮3792=⊺⇮-26020","layer":2},{"info":"⊺⇮-26020∸=⊺⇮177","layer":1},{"info":"⊺⇮5442/⊺⇮1189=⊺⇮4","layer":3},{"info":"⊺⇮4≣⋋=⊺⇮0","layer":2},{"info":"⊺⇮4525∀⇚≩⊺⇮3335=NaN","layer":3},{"info":"⊺⇮1866⪄⊺⇮7690=⊺⇮-303017","layer":3},{"info":"NaN⫡⨏⊺⇮-303017=NaN","layer":2},{"info":"⊺⇮0/NaN=NaN","layer":1},{"info":"⊺⇮177⊴NaN=NaN","layer":0}]}
{"id":904,"expression_no_base_symbol":"(($3238$↬$1938$⪐)⫥∨⫟(($6816$⪨≂$6298$)⨸⪁(⊙↵-$1184$)))∼(⨞⊢$1651$≎⊠⪸$2130$⨎(↔$2419$))","expression":"((⊺⇮3238↬⊺⇮1938⪐)⫥∨⫟((⊺⇮6816⪨≂⊺⇮6298)⨸⪁(⊙↵-⊺⇮1184)))∼(⨞⊢⊺⇮1651≎⊠⪸⊺⇮2130⨎(↔⊺⇮2419))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1678,"operation_count":11,"complexity_ratio":152.54545454545453,"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":3238,"base":10},"right_expr":{"type":"numeric_atoms","value":1938,"base":10}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":6816,"base":10},"right_expr":{"type":"numeric_atoms","value":6298,"base":10}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1184,"base":10}}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1651,"base":10},"right_expr":{"type":"numeric_atoms","value":2130,"base":10}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2419,"base":10}}}}},"used_operators":["DyGG3AbaNP","KYD54nUTWz","eH2TOUuTDT","B5M0gjZbta","g55IO6H4Gj","sdazOOVcIp","oWn0xqSxBt","xUOZtlo3hN","rJVOvQCfKK","bJkvcejdHO","ruOEQAzv1W"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3238","layer":4},{"info":"number node, value=1938","layer":4},{"info":"compute binary expreesion, left_input=3238, right_input=1938, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":2},{"info":"number node, value=6816","layer":4},{"info":"number node, value=6298","layer":4},{"info":"compute binary expreesion, left_input=6816, right_input=6298, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=1138","layer":3},{"info":"number node, value=1184","layer":4},{"info":"compute unary expreesion, input=1184, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=1138, right_input=-1, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=2274","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2274, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1651","layer":4},{"info":"number node, value=2130","layer":4},{"info":"compute binary expreesion, left_input=1651, right_input=2130, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=427136","layer":3},{"info":"number node, value=2419","layer":4},{"info":"compute unary expreesion, input=2419, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2146","layer":3},{"info":"compute binary expreesion, left_input=427136, right_input=-2146, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-2146","layer":2},{"info":"compute unary expreesion, input=-2146, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=1972","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1972, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮3238↬⊺⇮1938⪐)⫥∨⫟((⊺⇮6816⪨≂⊺⇮6298)⨸⪁(⊙↵-⊺⇮1184)))∼(⨞⊢⊺⇮1651≎⊠⪸⊺⇮2130⨎(↔⊺⇮2419))=NaN","reverse_text":"NaN=((⊺⇮3238↬⊺⇮1938⪐)⫥∨⫟((⊺⇮6816⪨≂⊺⇮6298)⨸⪁(⊙↵-⊺⇮1184)))∼(⨞⊢⊺⇮1651≎⊠⪸⊺⇮2130⨎(↔⊺⇮2419))","cot":[{"info":"⊺⇮3238↬⊺⇮1938=NaN","layer":3},{"info":"NaN⪐=NaN","layer":2},{"info":"⊺⇮6816⪨≂⊺⇮6298=⊺⇮1138","layer":3},{"info":"⊙↵-⊺⇮1184=⊺⇮-1","layer":3},{"info":"⊺⇮1138⨸⪁⊺⇮-1=⊺⇮2274","layer":2},{"info":"NaN⫥∨⫟⊺⇮2274=NaN","layer":1},{"info":"⊺⇮1651≎⊠⪸⊺⇮2130=⊺⇮427136","layer":3},{"info":"↔⊺⇮2419=⊺⇮-2146","layer":3},{"info":"⊺⇮427136⨎⊺⇮-2146=⊺⇮-2146","layer":2},{"info":"⨞⊢⊺⇮-2146=⊺⇮1972","layer":1},{"info":"NaN∼⊺⇮1972=NaN","layer":0}]}
{"id":905,"expression_no_base_symbol":"(($1599$⊉≛↸$1497$⫡⨏(≉$1067$))⊉≛↸((≤/$1536$)-$1347$⩚⊴⇥$2769$))∑⇟⊟((⨰⫟⨤(≦∁$2411$))+⇶⊼((⪝⪂⫅$4202$)↺$1437$≹⇙⪍$1026$))","expression":"((⊺⇮1599⊉≛↸⊺⇮1497⫡⨏(≉⊺⇮1067))⊉≛↸((≤/⊺⇮1536)-⊺⇮1347⩚⊴⇥⊺⇮2769))∑⇟⊟((⨰⫟⨤(≦∁⊺⇮2411))+⇶⊼((⪝⪂⫅⊺⇮4202)↺⊺⇮1437≹⇙⪍⊺⇮1026))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8978,"operation_count":14,"complexity_ratio":641.2857142857143,"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":1599,"base":10},"right_expr":{"type":"numeric_atoms","value":1497,"base":10}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1067,"base":10}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1536,"base":10}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1347,"base":10},"right_expr":{"type":"numeric_atoms","value":2769,"base":10}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2411,"base":10}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":4202,"base":10}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1437,"base":10},"right_expr":{"type":"numeric_atoms","value":1026,"base":10}}}}},"used_operators":["U7g4x0WXJJ","DZ8iAZOCBD","QMFrweE19q","e1ybzncUwg","rysDP5nf3Z","eLAdDNolq6","NTOWxs364D","TpPTUOHfaN","Tw270M8GLb","9ICcGScMcE","7j4O788W3g","XTarYq4gQB","AHs5Up7iyr"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1599","layer":4},{"info":"number node, value=1497","layer":4},{"info":"compute binary expreesion, left_input=1599, right_input=1497, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3198","layer":3},{"info":"number node, value=1067","layer":4},{"info":"compute unary expreesion, input=1067, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1598","layer":3},{"info":"compute binary expreesion, left_input=3198, right_input=1598, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=19969","layer":2},{"info":"number node, value=1536","layer":4},{"info":"compute unary expreesion, input=1536, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1052","layer":3},{"info":"number node, value=1347","layer":4},{"info":"number node, value=2769","layer":4},{"info":"compute binary expreesion, left_input=1347, right_input=2769, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4237","layer":3},{"info":"compute binary expreesion, left_input=-1052, right_input=-4237, op_id = rysDP5nf3Z binary_op_definition= 'None', output=3185","layer":2},{"info":"compute binary expreesion, left_input=19969, right_input=3185, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=39938","layer":1},{"info":"number node, value=2411","layer":4},{"info":"compute unary expreesion, input=2411, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2411","layer":3},{"info":"compute unary expreesion, input=2411, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=4202","layer":4},{"info":"compute unary expreesion, input=4202, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-617694","layer":3},{"info":"number node, value=1437","layer":4},{"info":"number node, value=1026","layer":4},{"info":"compute binary expreesion, left_input=1437, right_input=1026, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=-617694, 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 = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=39938, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1599⊉≛↸⊺⇮1497⫡⨏(≉⊺⇮1067))⊉≛↸((≤/⊺⇮1536)-⊺⇮1347⩚⊴⇥⊺⇮2769))∑⇟⊟((⨰⫟⨤(≦∁⊺⇮2411))+⇶⊼((⪝⪂⫅⊺⇮4202)↺⊺⇮1437≹⇙⪍⊺⇮1026))=NaN","reverse_text":"NaN=((⊺⇮1599⊉≛↸⊺⇮1497⫡⨏(≉⊺⇮1067))⊉≛↸((≤/⊺⇮1536)-⊺⇮1347⩚⊴⇥⊺⇮2769))∑⇟⊟((⨰⫟⨤(≦∁⊺⇮2411))+⇶⊼((⪝⪂⫅⊺⇮4202)↺⊺⇮1437≹⇙⪍⊺⇮1026))","cot":[{"info":"⊺⇮1599⊉≛↸⊺⇮1497=⊺⇮3198","layer":3},{"info":"≉⊺⇮1067=⊺⇮1598","layer":3},{"info":"⊺⇮3198⫡⨏⊺⇮1598=⊺⇮19969","layer":2},{"info":"≤/⊺⇮1536=⊺⇮-1052","layer":3},{"info":"⊺⇮1347⩚⊴⇥⊺⇮2769=⊺⇮-4237","layer":3},{"info":"⊺⇮-1052-⊺⇮-4237=⊺⇮3185","layer":2},{"info":"⊺⇮19969⊉≛↸⊺⇮3185=⊺⇮39938","layer":1},{"info":"≦∁⊺⇮2411=⊺⇮2411","layer":3},{"info":"⨰⫟⨤⊺⇮2411=NaN","layer":2},{"info":"⪝⪂⫅⊺⇮4202=⊺⇮-617694","layer":3},{"info":"⊺⇮1437≹⇙⪍⊺⇮1026=NaN","layer":3},{"info":"⊺⇮-617694↺NaN=NaN","layer":2},{"info":"NaN+⇶⊼NaN=NaN","layer":1},{"info":"⊺⇮39938∑⇟⊟NaN=NaN","layer":0}]}
{"id":906,"expression_no_base_symbol":"(∥⊫(($5278$∲⫓$1225$)⩨(≤/$2028$)))+($2606$/$1824$)⪮%⊝(⩦⩻⨪$5371$)⋓($2256$+$1944$)⪢($7478$⊦⊿)","expression":"(∥⊫((⊺⇮5278∲⫓⊺⇮1225)⩨(≤/⊺⇮2028)))+(⊺⇮2606/⊺⇮1824)⪮%⊝(⩦⩻⨪⊺⇮5371)⋓(⊺⇮2256+⊺⇮1944)⪢(⊺⇮7478⊦⊿)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":22557,"operation_count":12,"complexity_ratio":1879.75,"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":5278,"base":10},"right_expr":{"type":"numeric_atoms","value":1225,"base":10}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2028,"base":10}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2606,"base":10},"right_expr":{"type":"numeric_atoms","value":1824,"base":10}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":5371,"base":10}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2256,"base":10},"right_expr":{"type":"numeric_atoms","value":1944,"base":10}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":7478,"base":10}}}}},"used_operators":["W4YGzv6Whe","P8v4zCKN1o","2DlMacCsIx","i8ToyICDmI","eLAdDNolq6","T2fj7uvVaJ","IWmyXbctLI","XhwjNDsVaA","2td37pGCOC","dWAJyo7jo9","14qkJME0vr"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5278","layer":4},{"info":"number node, value=1225","layer":4},{"info":"compute binary expreesion, left_input=5278, right_input=1225, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=2028","layer":4},{"info":"compute unary expreesion, input=2028, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1544","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1544, 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":"number node, value=2606","layer":4},{"info":"number node, value=1824","layer":4},{"info":"compute binary expreesion, left_input=2606, right_input=1824, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"number node, value=5371","layer":4},{"info":"compute unary expreesion, input=5371, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=5371","layer":3},{"info":"compute binary expreesion, left_input=1, right_input=5371, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=318","layer":2},{"info":"number node, value=2256","layer":4},{"info":"number node, value=1944","layer":4},{"info":"compute binary expreesion, left_input=2256, right_input=1944, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4200","layer":3},{"info":"number node, value=7478","layer":4},{"info":"compute unary expreesion, input=7478, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-22513","layer":3},{"info":"compute binary expreesion, left_input=4200, right_input=-22513, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=318, 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 = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":10,"result_base":10,"text":"(∥⊫((⊺⇮5278∲⫓⊺⇮1225)⩨(≤/⊺⇮2028)))+(⊺⇮2606/⊺⇮1824)⪮%⊝(⩦⩻⨪⊺⇮5371)⋓(⊺⇮2256+⊺⇮1944)⪢(⊺⇮7478⊦⊿)=NaN","reverse_text":"NaN=(∥⊫((⊺⇮5278∲⫓⊺⇮1225)⩨(≤/⊺⇮2028)))+(⊺⇮2606/⊺⇮1824)⪮%⊝(⩦⩻⨪⊺⇮5371)⋓(⊺⇮2256+⊺⇮1944)⪢(⊺⇮7478⊦⊿)","cot":[{"info":"⊺⇮5278∲⫓⊺⇮1225=⊺⇮0","layer":3},{"info":"≤/⊺⇮2028=⊺⇮-1544","layer":3},{"info":"⊺⇮0⩨⊺⇮-1544=NaN","layer":2},{"info":"∥⊫NaN=NaN","layer":1},{"info":"⊺⇮2606/⊺⇮1824=⊺⇮1","layer":3},{"info":"⩦⩻⨪⊺⇮5371=⊺⇮5371","layer":3},{"info":"⊺⇮1⪮%⊝⊺⇮5371=⊺⇮318","layer":2},{"info":"⊺⇮2256+⊺⇮1944=⊺⇮4200","layer":3},{"info":"⊺⇮7478⊦⊿=⊺⇮-22513","layer":3},{"info":"⊺⇮4200⪢⊺⇮-22513=NaN","layer":2},{"info":"⊺⇮318⋓NaN=NaN","layer":1},{"info":"NaN+NaN=NaN","layer":0}]}
{"id":907,"expression_no_base_symbol":"($3931$⩚⊴⇥$5458$)⊴($4045$⨐⩸⫘$1334$)⫥∨⫟(⫓⪴($1278$∧))∲⫓((↯⪼($1403$≦≮≮))⫩⊇)","expression":"(⊺⇮3931⩚⊴⇥⊺⇮5458)⊴(⊺⇮4045⨐⩸⫘⊺⇮1334)⫥∨⫟(⫓⪴(⊺⇮1278∧))∲⫓((↯⪼(⊺⇮1403≦≮≮))⫩⊇)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":191,"operation_count":10,"complexity_ratio":19.1,"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":3931,"base":10},"right_expr":{"type":"numeric_atoms","value":5458,"base":10}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4045,"base":10},"right_expr":{"type":"numeric_atoms","value":1334,"base":10}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1278,"base":10}}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1403,"base":10}}}}},"used_operators":["i8ToyICDmI","KYD54nUTWz","Nsiff2A1zJ","NTOWxs364D","fu6greOZ01","eLxqMNBOBk","z63VuFQld9","BjRHVeLaeN","8jW3W4yZS5","D4vGDi5EA2"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","3ViojmjbAp","9HNa5Wba9A","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3931","layer":4},{"info":"number node, value=5458","layer":4},{"info":"compute binary expreesion, left_input=3931, right_input=5458, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-9510","layer":3},{"info":"number node, value=4045","layer":4},{"info":"number node, value=1334","layer":4},{"info":"compute binary expreesion, left_input=4045, right_input=1334, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=-9510, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=1278","layer":4},{"info":"compute unary expreesion, input=1278, 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 = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1403","layer":4},{"info":"compute unary expreesion, input=1403, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-4209","layer":3},{"info":"compute unary expreesion, input=-4209, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=7501","layer":2},{"info":"compute unary expreesion, input=7501, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-7459","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-7459, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮3931⩚⊴⇥⊺⇮5458)⊴(⊺⇮4045⨐⩸⫘⊺⇮1334)⫥∨⫟(⫓⪴(⊺⇮1278∧))∲⫓((↯⪼(⊺⇮1403≦≮≮))⫩⊇)=NaN","reverse_text":"NaN=(⊺⇮3931⩚⊴⇥⊺⇮5458)⊴(⊺⇮4045⨐⩸⫘⊺⇮1334)⫥∨⫟(⫓⪴(⊺⇮1278∧))∲⫓((↯⪼(⊺⇮1403≦≮≮))⫩⊇)","cot":[{"info":"⊺⇮3931⩚⊴⇥⊺⇮5458=⊺⇮-9510","layer":3},{"info":"⊺⇮4045⨐⩸⫘⊺⇮1334=NaN","layer":3},{"info":"⊺⇮-9510⊴NaN=NaN","layer":2},{"info":"⊺⇮1278∧=NaN","layer":3},{"info":"⫓⪴NaN=NaN","layer":2},{"info":"NaN⫥∨⫟NaN=NaN","layer":1},{"info":"⊺⇮1403≦≮≮=⊺⇮-4209","layer":3},{"info":"↯⪼⊺⇮-4209=⊺⇮7501","layer":2},{"info":"⊺⇮7501⫩⊇=⊺⇮-7459","layer":1},{"info":"NaN∲⫓⊺⇮-7459=NaN","layer":0}]}
{"id":908,"expression_no_base_symbol":"($2687$⪄$1440$⋷$7709$⨽$8662$)⋓($3837$⊘)⪮%⊝($1074$%$7027$)-($3475$≎⊠⪸$1024$)⪘⫢($9320$⪠⩆⊳)+⇶⊼($4524$↬$3850$)⊴(↩$2264$)","expression":"(⊺⇮2687⪄⊺⇮1440⋷⊺⇮7709⨽⊺⇮8662)⋓(⊺⇮3837⊘)⪮%⊝(⊺⇮1074%⊺⇮7027)-(⊺⇮3475≎⊠⪸⊺⇮1024)⪘⫢(⊺⇮9320⪠⩆⊳)+⇶⊼(⊺⇮4524↬⊺⇮3850)⊴(↩⊺⇮2264)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":23499,"operation_count":15,"complexity_ratio":1566.6,"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":2687,"base":10},"right_expr":{"type":"numeric_atoms","value":1440,"base":10}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":7709,"base":10},"right_expr":{"type":"numeric_atoms","value":8662,"base":10}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":3837,"base":10}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1074,"base":10},"right_expr":{"type":"numeric_atoms","value":7027,"base":10}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3475,"base":10},"right_expr":{"type":"numeric_atoms","value":1024,"base":10}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":9320,"base":10}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4524,"base":10},"right_expr":{"type":"numeric_atoms","value":3850,"base":10}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":2264,"base":10}}}}},"used_operators":["rysDP5nf3Z","T2fj7uvVaJ","23Mk6UjR3U","SUmda5xLS4","8HhzD0ZcuI","IWmyXbctLI","gu96TGCTMs","k8jYdgA6NY","TpPTUOHfaN","oacrs7FA3X","bJkvcejdHO","JLbD19bQDL","Nsiff2A1zJ","B5M0gjZbta","jLgFTUHLKL"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rGHVDoGpnC","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2687","layer":4},{"info":"number node, value=1440","layer":4},{"info":"compute binary expreesion, left_input=2687, right_input=1440, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-399525","layer":3},{"info":"number node, value=7709","layer":4},{"info":"number node, value=8662","layer":4},{"info":"compute binary expreesion, left_input=7709, right_input=8662, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-178310715","layer":3},{"info":"compute binary expreesion, left_input=-399525, right_input=-178310715, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=799050","layer":2},{"info":"number node, value=3837","layer":4},{"info":"compute unary expreesion, input=3837, 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=1074","layer":4},{"info":"number node, value=7027","layer":4},{"info":"compute binary expreesion, left_input=1074, right_input=7027, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1074","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1074, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=316","layer":2},{"info":"compute binary expreesion, left_input=799050, right_input=316, op_id = T2fj7uvVaJ binary_op_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=3475","layer":4},{"info":"number node, value=1024","layer":4},{"info":"compute binary expreesion, left_input=3475, right_input=1024, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=899552","layer":3},{"info":"number node, value=9320","layer":4},{"info":"compute unary expreesion, input=9320, 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=899552, right_input=0, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=0","layer":2},{"info":"number node, value=4524","layer":4},{"info":"number node, value=3850","layer":4},{"info":"compute binary expreesion, left_input=4524, right_input=3850, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=2264","layer":4},{"info":"compute unary expreesion, input=2264, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-15332","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-15332, 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 = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮2687⪄⊺⇮1440⋷⊺⇮7709⨽⊺⇮8662)⋓(⊺⇮3837⊘)⪮%⊝(⊺⇮1074%⊺⇮7027)-(⊺⇮3475≎⊠⪸⊺⇮1024)⪘⫢(⊺⇮9320⪠⩆⊳)+⇶⊼(⊺⇮4524↬⊺⇮3850)⊴(↩⊺⇮2264)=NaN","reverse_text":"NaN=(⊺⇮2687⪄⊺⇮1440⋷⊺⇮7709⨽⊺⇮8662)⋓(⊺⇮3837⊘)⪮%⊝(⊺⇮1074%⊺⇮7027)-(⊺⇮3475≎⊠⪸⊺⇮1024)⪘⫢(⊺⇮9320⪠⩆⊳)+⇶⊼(⊺⇮4524↬⊺⇮3850)⊴(↩⊺⇮2264)","cot":[{"info":"⊺⇮2687⪄⊺⇮1440=⊺⇮-399525","layer":3},{"info":"⊺⇮7709⨽⊺⇮8662=⊺⇮-178310715","layer":3},{"info":"⊺⇮-399525⋷⊺⇮-178310715=⊺⇮799050","layer":2},{"info":"⊺⇮3837⊘=⊺⇮0","layer":3},{"info":"⊺⇮1074%⊺⇮7027=⊺⇮1074","layer":3},{"info":"⊺⇮0⪮%⊝⊺⇮1074=⊺⇮316","layer":2},{"info":"⊺⇮799050⋓⊺⇮316=⊺⇮0","layer":1},{"info":"⊺⇮3475≎⊠⪸⊺⇮1024=⊺⇮899552","layer":3},{"info":"⊺⇮9320⪠⩆⊳=⊺⇮0","layer":3},{"info":"⊺⇮899552⪘⫢⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮4524↬⊺⇮3850=NaN","layer":3},{"info":"↩⊺⇮2264=⊺⇮-15332","layer":3},{"info":"NaN⊴⊺⇮-15332=NaN","layer":2},{"info":"⊺⇮0+⇶⊼NaN=NaN","layer":1},{"info":"⊺⇮0-NaN=NaN","layer":0}]}
{"id":909,"expression_no_base_symbol":"(⊙↵-($2652$⇼⇔∾$4572$))⋝⋈⪟(⊙↵-($3726$⊦⊿))-($6056$⨳⩥⨓$1744$+(-$3711$)/(($6003$⋷$3205$)⩤))","expression":"(⊙↵-(⊺⇮2652⇼⇔∾⊺⇮4572))⋝⋈⪟(⊙↵-(⊺⇮3726⊦⊿))-(⊺⇮6056⨳⩥⨓⊺⇮1744+(-⊺⇮3711)/((⊺⇮6003⋷⊺⇮3205)⩤))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":13295,"operation_count":12,"complexity_ratio":1107.9166666666667,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2652,"base":10},"right_expr":{"type":"numeric_atoms","value":4572,"base":10}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":3726,"base":10}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":6056,"base":10},"right_expr":{"type":"numeric_atoms","value":1744,"base":10}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":3711,"base":10}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":6003,"base":10},"right_expr":{"type":"numeric_atoms","value":3205,"base":10}}}}},"used_operators":["rysDP5nf3Z","2DDjHMKMc0","oWn0xqSxBt","tifHPKVTfV","14qkJME0vr","XhwjNDsVaA","W4YGzv6Whe","nCS4ZIUYfx","t8gj7n24qd","Z2TMIBDE3Q","23Mk6UjR3U"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮-20","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2652","layer":4},{"info":"number node, value=4572","layer":4},{"info":"compute binary expreesion, left_input=2652, right_input=4572, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1920","layer":3},{"info":"compute unary expreesion, input=1920, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":2},{"info":"number node, value=3726","layer":4},{"info":"compute unary expreesion, input=3726, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-11257","layer":3},{"info":"compute unary expreesion, input=-11257, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=196, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-1","layer":1},{"info":"number node, value=6056","layer":4},{"info":"number node, value=1744","layer":4},{"info":"compute binary expreesion, left_input=6056, right_input=1744, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-4312","layer":3},{"info":"number node, value=3711","layer":4},{"info":"compute unary expreesion, input=3711, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-3711","layer":3},{"info":"compute binary expreesion, left_input=-4312, right_input=-3711, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-8023","layer":2},{"info":"number node, value=6003","layer":4},{"info":"number node, value=3205","layer":4},{"info":"compute binary expreesion, left_input=6003, right_input=3205, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=407","layer":3},{"info":"compute unary expreesion, input=407, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-407","layer":2},{"info":"compute binary expreesion, left_input=-8023, right_input=-407, op_id = XhwjNDsVaA binary_op_definition= 'None', output=19","layer":1},{"info":"compute binary expreesion, left_input=-1, right_input=19, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-20","layer":0}],"base":10,"result_base":10,"text":"(⊙↵-(⊺⇮2652⇼⇔∾⊺⇮4572))⋝⋈⪟(⊙↵-(⊺⇮3726⊦⊿))-(⊺⇮6056⨳⩥⨓⊺⇮1744+(-⊺⇮3711)/((⊺⇮6003⋷⊺⇮3205)⩤))=⊺⇮-20","reverse_text":"⊺⇮-20=(⊙↵-(⊺⇮2652⇼⇔∾⊺⇮4572))⋝⋈⪟(⊙↵-(⊺⇮3726⊦⊿))-(⊺⇮6056⨳⩥⨓⊺⇮1744+(-⊺⇮3711)/((⊺⇮6003⋷⊺⇮3205)⩤))","cot":[{"info":"⊺⇮2652⇼⇔∾⊺⇮4572=⊺⇮1920","layer":3},{"info":"⊙↵-⊺⇮1920=⊺⇮-1","layer":2},{"info":"⊺⇮3726⊦⊿=⊺⇮-11257","layer":3},{"info":"⊙↵-⊺⇮-11257=⊺⇮196","layer":2},{"info":"⊺⇮-1⋝⋈⪟⊺⇮196=⊺⇮-1","layer":1},{"info":"⊺⇮6056⨳⩥⨓⊺⇮1744=⊺⇮-4312","layer":3},{"info":"-⊺⇮3711=⊺⇮-3711","layer":3},{"info":"⊺⇮-4312+⊺⇮-3711=⊺⇮-8023","layer":2},{"info":"⊺⇮6003⋷⊺⇮3205=⊺⇮407","layer":3},{"info":"⊺⇮407⩤=⊺⇮-407","layer":2},{"info":"⊺⇮-8023/⊺⇮-407=⊺⇮19","layer":1},{"info":"⊺⇮-1-⊺⇮19=⊺⇮-20","layer":0}]}
{"id":910,"expression_no_base_symbol":"((($1138$⪒$1285$)⫩⊇)⨽(≤/$1430$⫸⊐$6020$))⇷($3789$⪘⫢$2177$⩨$3472$⊴$1965$+(+⊝⨔($3792$⊦⊿)))","expression":"(((⊺⇮1138⪒⊺⇮1285)⫩⊇)⨽(≤/⊺⇮1430⫸⊐⊺⇮6020))⇷(⊺⇮3789⪘⫢⊺⇮2177⩨⊺⇮3472⊴⊺⇮1965+(+⊝⨔(⊺⇮3792⊦⊿)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4794,"operation_count":12,"complexity_ratio":399.5,"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":1138,"base":10},"right_expr":{"type":"numeric_atoms","value":1285,"base":10}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1430,"base":10},"right_expr":{"type":"numeric_atoms","value":6020,"base":10}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3789,"base":10},"right_expr":{"type":"numeric_atoms","value":2177,"base":10}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3472,"base":10},"right_expr":{"type":"numeric_atoms","value":1965,"base":10}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":3792,"base":10}}}}},"used_operators":["mp7IySMOzn","8HhzD0ZcuI","BjRHVeLaeN","f6k1SAg4EE","eLAdDNolq6","mqXw5SEYmG","W4YGzv6Whe","2DlMacCsIx","oacrs7FA3X","Nsiff2A1zJ","DhbWaqg5eL","14qkJME0vr"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","dWAJyo7jo9","14qkJME0vr","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1138","layer":4},{"info":"number node, value=1285","layer":4},{"info":"compute binary expreesion, left_input=1138, right_input=1285, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2423","layer":3},{"info":"compute unary expreesion, input=-2423, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=2465","layer":2},{"info":"number node, value=1430","layer":4},{"info":"number node, value=6020","layer":4},{"info":"compute binary expreesion, left_input=1430, right_input=6020, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=23955","layer":3},{"info":"compute unary expreesion, input=23955, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-23471","layer":2},{"info":"compute binary expreesion, left_input=2465, right_input=-23471, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-18156948","layer":1},{"info":"number node, value=3789","layer":4},{"info":"number node, value=2177","layer":4},{"info":"compute binary expreesion, left_input=3789, right_input=2177, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=7454","layer":3},{"info":"number node, value=3472","layer":4},{"info":"number node, value=1965","layer":4},{"info":"compute binary expreesion, left_input=3472, right_input=1965, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=7454, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"number node, value=3792","layer":4},{"info":"compute unary expreesion, input=3792, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-11455","layer":3},{"info":"compute unary expreesion, input=-11455, 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 = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-18156948, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮1138⪒⊺⇮1285)⫩⊇)⨽(≤/⊺⇮1430⫸⊐⊺⇮6020))⇷(⊺⇮3789⪘⫢⊺⇮2177⩨⊺⇮3472⊴⊺⇮1965+(+⊝⨔(⊺⇮3792⊦⊿)))=NaN","reverse_text":"NaN=(((⊺⇮1138⪒⊺⇮1285)⫩⊇)⨽(≤/⊺⇮1430⫸⊐⊺⇮6020))⇷(⊺⇮3789⪘⫢⊺⇮2177⩨⊺⇮3472⊴⊺⇮1965+(+⊝⨔(⊺⇮3792⊦⊿)))","cot":[{"info":"⊺⇮1138⪒⊺⇮1285=⊺⇮-2423","layer":3},{"info":"⊺⇮-2423⫩⊇=⊺⇮2465","layer":2},{"info":"⊺⇮1430⫸⊐⊺⇮6020=⊺⇮23955","layer":3},{"info":"≤/⊺⇮23955=⊺⇮-23471","layer":2},{"info":"⊺⇮2465⨽⊺⇮-23471=⊺⇮-18156948","layer":1},{"info":"⊺⇮3789⪘⫢⊺⇮2177=⊺⇮7454","layer":3},{"info":"⊺⇮3472⊴⊺⇮1965=NaN","layer":3},{"info":"⊺⇮7454⩨NaN=NaN","layer":2},{"info":"⊺⇮3792⊦⊿=⊺⇮-11455","layer":3},{"info":"+⊝⨔⊺⇮-11455=⊺⇮1522","layer":2},{"info":"NaN+⊺⇮1522=NaN","layer":1},{"info":"⊺⇮-18156948⇷NaN=NaN","layer":0}]}
{"id":911,"expression_no_base_symbol":"↯⪼(($1192$⇋≉)⪛(⋗⩬⋾$2699$)⫡⨏(↔($2366$⪒$2443$)))","expression":"↯⪼((⊺⇮1192⇋≉)⪛(⋗⩬⋾⊺⇮2699)⫡⨏(↔(⊺⇮2366⪒⊺⇮2443)))","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":55,"operation_count":7,"complexity_ratio":7.857142857142857,"tree":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1192,"base":10}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":2699,"base":10}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2366,"base":10},"right_expr":{"type":"numeric_atoms","value":2443,"base":10}}}}},"used_operators":["8jW3W4yZS5","QMFrweE19q","uFcxV4UQCh","XIabStNQrY","DpFCA1CohY","ruOEQAzv1W","f6k1SAg4EE"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮56163","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1192","layer":4},{"info":"compute unary expreesion, input=1192, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=2286","layer":3},{"info":"number node, value=2699","layer":4},{"info":"compute unary expreesion, input=2699, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-8097","layer":3},{"info":"compute binary expreesion, left_input=2286, right_input=-8097, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-5811","layer":2},{"info":"number node, value=2366","layer":4},{"info":"number node, value=2443","layer":4},{"info":"compute binary expreesion, left_input=2366, right_input=2443, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4809","layer":3},{"info":"compute unary expreesion, input=-4809, 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=-5811, right_input=-134, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-28540","layer":1},{"info":"compute unary expreesion, input=-28540, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=56163","layer":0}],"base":10,"result_base":10,"text":"↯⪼((⊺⇮1192⇋≉)⪛(⋗⩬⋾⊺⇮2699)⫡⨏(↔(⊺⇮2366⪒⊺⇮2443)))=⊺⇮56163","reverse_text":"⊺⇮56163=↯⪼((⊺⇮1192⇋≉)⪛(⋗⩬⋾⊺⇮2699)⫡⨏(↔(⊺⇮2366⪒⊺⇮2443)))","cot":[{"info":"⊺⇮1192⇋≉=⊺⇮2286","layer":3},{"info":"⋗⩬⋾⊺⇮2699=⊺⇮-8097","layer":3},{"info":"⊺⇮2286⪛⊺⇮-8097=⊺⇮-5811","layer":2},{"info":"⊺⇮2366⪒⊺⇮2443=⊺⇮-4809","layer":3},{"info":"↔⊺⇮-4809=⊺⇮-134","layer":2},{"info":"⊺⇮-5811⫡⨏⊺⇮-134=⊺⇮-28540","layer":1},{"info":"↯⪼⊺⇮-28540=⊺⇮56163","layer":0}]}
{"id":912,"expression_no_base_symbol":"(⨰⫟⨤($1485$⨳⩥⨓$1021$⋷$1206$⋥≓≎$1617$))⨓(⋗⩬⋾($4982$⫡⨏$1688$⋷($2511$⫩⊇)))","expression":"(⨰⫟⨤(⊺⇮1485⨳⩥⨓⊺⇮1021⋷⊺⇮1206⋥≓≎⊺⇮1617))⨓(⋗⩬⋾(⊺⇮4982⫡⨏⊺⇮1688⋷(⊺⇮2511⫩⊇)))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":104923,"operation_count":9,"complexity_ratio":11658.111111111111,"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":1485,"base":10},"right_expr":{"type":"numeric_atoms","value":1021,"base":10}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1206,"base":10},"right_expr":{"type":"numeric_atoms","value":1617,"base":10}}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4982,"base":10},"right_expr":{"type":"numeric_atoms","value":1688,"base":10}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":2511,"base":10}}}}},"used_operators":["3ViojmjbAp","Tw270M8GLb","23Mk6UjR3U","nCS4ZIUYfx","Qy55tPpLXF","DpFCA1CohY","QMFrweE19q","BjRHVeLaeN"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⊺⇮-102024","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1485","layer":4},{"info":"number node, value=1021","layer":4},{"info":"compute binary expreesion, left_input=1485, right_input=1021, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-464","layer":3},{"info":"number node, value=1206","layer":4},{"info":"number node, value=1617","layer":4},{"info":"compute binary expreesion, left_input=1206, right_input=1617, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2061","layer":3},{"info":"compute binary expreesion, left_input=-464, right_input=2061, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=928","layer":2},{"info":"compute unary expreesion, input=928, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=4982","layer":4},{"info":"number node, value=1688","layer":4},{"info":"compute binary expreesion, left_input=4982, right_input=1688, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=29069","layer":3},{"info":"number node, value=2511","layer":4},{"info":"compute unary expreesion, input=2511, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-2469","layer":3},{"info":"compute binary expreesion, left_input=29069, right_input=-2469, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-34007","layer":2},{"info":"compute unary expreesion, input=-34007, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=102021","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=102021, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-102024","layer":0}],"base":10,"result_base":10,"text":"(⨰⫟⨤(⊺⇮1485⨳⩥⨓⊺⇮1021⋷⊺⇮1206⋥≓≎⊺⇮1617))⨓(⋗⩬⋾(⊺⇮4982⫡⨏⊺⇮1688⋷(⊺⇮2511⫩⊇)))=⊺⇮-102024","reverse_text":"⊺⇮-102024=(⨰⫟⨤(⊺⇮1485⨳⩥⨓⊺⇮1021⋷⊺⇮1206⋥≓≎⊺⇮1617))⨓(⋗⩬⋾(⊺⇮4982⫡⨏⊺⇮1688⋷(⊺⇮2511⫩⊇)))","cot":[{"info":"⊺⇮1485⨳⩥⨓⊺⇮1021=⊺⇮-464","layer":3},{"info":"⊺⇮1206⋥≓≎⊺⇮1617=⊺⇮2061","layer":3},{"info":"⊺⇮-464⋷⊺⇮2061=⊺⇮928","layer":2},{"info":"⨰⫟⨤⊺⇮928=NaN","layer":1},{"info":"⊺⇮4982⫡⨏⊺⇮1688=⊺⇮29069","layer":3},{"info":"⊺⇮2511⫩⊇=⊺⇮-2469","layer":3},{"info":"⊺⇮29069⋷⊺⇮-2469=⊺⇮-34007","layer":2},{"info":"⋗⩬⋾⊺⇮-34007=⊺⇮102021","layer":1},{"info":"NaN⨓⊺⇮102021=⊺⇮-102024","layer":0}]}
{"id":913,"expression_no_base_symbol":"((⇁⨣⪵($1058$⇋≉))⨐⩸⫘($5014$⩨$1141$)⊴(↯⪼$1280$))≎⊠⪸((⫓⪴$6386$∀⇚≩$1044$)-$4702$*$1725$⪒($2732$⪨≂$1802$))","expression":"((⇁⨣⪵(⊺⇮1058⇋≉))⨐⩸⫘(⊺⇮5014⩨⊺⇮1141)⊴(↯⪼⊺⇮1280))≎⊠⪸((⫓⪴⊺⇮6386∀⇚≩⊺⇮1044)-⊺⇮4702*⊺⇮1725⪒(⊺⇮2732⪨≂⊺⇮1802))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":46515,"operation_count":13,"complexity_ratio":3578.076923076923,"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":1058,"base":10}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":5014,"base":10},"right_expr":{"type":"numeric_atoms","value":1141,"base":10}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1280,"base":10}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":6386,"base":10},"right_expr":{"type":"numeric_atoms","value":1044,"base":10}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4702,"base":10},"right_expr":{"type":"numeric_atoms","value":1725,"base":10}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2732,"base":10},"right_expr":{"type":"numeric_atoms","value":1802,"base":10}}}}},"used_operators":["bJkvcejdHO","fu6greOZ01","inkyxCbjAn","XIabStNQrY","Nsiff2A1zJ","2DlMacCsIx","8jW3W4yZS5","rysDP5nf3Z","eLxqMNBOBk","LRNGc0VcxI","f6k1SAg4EE","9HNa5Wba9A","sdazOOVcIp"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","3ViojmjbAp","B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","9HNa5Wba9A","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⊺⇮67","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1058","layer":4},{"info":"compute unary expreesion, input=1058, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=2018","layer":3},{"info":"compute unary expreesion, input=2018, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"number node, value=5014","layer":4},{"info":"number node, value=1141","layer":4},{"info":"compute binary expreesion, left_input=5014, right_input=1141, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=1280","layer":4},{"info":"compute unary expreesion, input=1280, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-21, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=6386","layer":4},{"info":"number node, value=1044","layer":4},{"info":"compute binary expreesion, left_input=6386, right_input=1044, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=4702","layer":4},{"info":"number node, value=1725","layer":4},{"info":"compute binary expreesion, left_input=4702, right_input=1725, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=8110950","layer":3},{"info":"number node, value=2732","layer":4},{"info":"number node, value=1802","layer":4},{"info":"compute binary expreesion, left_input=2732, right_input=1802, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=1962","layer":3},{"info":"compute binary expreesion, left_input=8110950, right_input=1962, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8112912","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-8112912, op_id = rysDP5nf3Z 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":10,"result_base":10,"text":"((⇁⨣⪵(⊺⇮1058⇋≉))⨐⩸⫘(⊺⇮5014⩨⊺⇮1141)⊴(↯⪼⊺⇮1280))≎⊠⪸((⫓⪴⊺⇮6386∀⇚≩⊺⇮1044)-⊺⇮4702*⊺⇮1725⪒(⊺⇮2732⪨≂⊺⇮1802))=⊺⇮67","reverse_text":"⊺⇮67=((⇁⨣⪵(⊺⇮1058⇋≉))⨐⩸⫘(⊺⇮5014⩨⊺⇮1141)⊴(↯⪼⊺⇮1280))≎⊠⪸((⫓⪴⊺⇮6386∀⇚≩⊺⇮1044)-⊺⇮4702*⊺⇮1725⪒(⊺⇮2732⪨≂⊺⇮1802))","cot":[{"info":"⊺⇮1058⇋≉=⊺⇮2018","layer":3},{"info":"⇁⨣⪵⊺⇮2018=NaN","layer":2},{"info":"⊺⇮5014⩨⊺⇮1141=⊺⇮0","layer":3},{"info":"↯⪼⊺⇮1280=⊺⇮-21","layer":3},{"info":"⊺⇮0⊴⊺⇮-21=NaN","layer":2},{"info":"NaN⨐⩸⫘NaN=NaN","layer":1},{"info":"⊺⇮6386∀⇚≩⊺⇮1044=NaN","layer":3},{"info":"⫓⪴NaN=NaN","layer":2},{"info":"⊺⇮4702*⊺⇮1725=⊺⇮8110950","layer":3},{"info":"⊺⇮2732⪨≂⊺⇮1802=⊺⇮1962","layer":3},{"info":"⊺⇮8110950⪒⊺⇮1962=⊺⇮-8112912","layer":2},{"info":"NaN-⊺⇮-8112912=NaN","layer":1},{"info":"NaN≎⊠⪸NaN=⊺⇮67","layer":0}]}
{"id":914,"expression_no_base_symbol":"(↣≠⋷(≦∁(⫛⫱⨽$1209$)))⨟⋌⩍(⪝⪂⫅((∂$1305$)⫡⨏$4033$↙$2989$))","expression":"(↣≠⋷(≦∁(⫛⫱⨽⊺⇮1209)))⨟⋌⩍(⪝⪂⫅((∂⊺⇮1305)⫡⨏⊺⇮4033↙⊺⇮2989))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":106856,"operation_count":8,"complexity_ratio":13357.0,"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":1209,"base":10}}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1305,"base":10}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4033,"base":10},"right_expr":{"type":"numeric_atoms","value":2989,"base":10}}}}},"used_operators":["rGHVDoGpnC","Asc51vEJeQ","9ICcGScMcE","DlLNRPXxWL","XTarYq4gQB","QMFrweE19q","Uaa54Peajs","yyfyN0ffXY"],"dependent_operators":["Tcnh7f0tEr","XhwjNDsVaA","AHs5Up7iyr","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rGHVDoGpnC","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1209","layer":4},{"info":"compute unary expreesion, input=1209, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-320","layer":2},{"info":"compute unary expreesion, input=-320, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"number node, value=1305","layer":4},{"info":"compute unary expreesion, input=1305, 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=4033","layer":4},{"info":"number node, value=2989","layer":4},{"info":"compute binary expreesion, left_input=4033, right_input=2989, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-8967","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-8967, op_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 = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', 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":10,"result_base":10,"text":"(↣≠⋷(≦∁(⫛⫱⨽⊺⇮1209)))⨟⋌⩍(⪝⪂⫅((∂⊺⇮1305)⫡⨏⊺⇮4033↙⊺⇮2989))=NaN","reverse_text":"NaN=(↣≠⋷(≦∁(⫛⫱⨽⊺⇮1209)))⨟⋌⩍(⪝⪂⫅((∂⊺⇮1305)⫡⨏⊺⇮4033↙⊺⇮2989))","cot":[{"info":"⫛⫱⨽⊺⇮1209=⊺⇮0","layer":3},{"info":"≦∁⊺⇮0=⊺⇮-320","layer":2},{"info":"↣≠⋷⊺⇮-320=NaN","layer":1},{"info":"∂⊺⇮1305=NaN","layer":3},{"info":"⊺⇮4033↙⊺⇮2989=⊺⇮-8967","layer":3},{"info":"NaN⫡⨏⊺⇮-8967=NaN","layer":2},{"info":"⪝⪂⫅NaN=NaN","layer":1},{"info":"NaN⨟⋌⩍NaN=NaN","layer":0}]}
{"id":915,"expression_no_base_symbol":"((⪝⪂⫅($2396$⩨$1874$))⋥≓≎($4277$%$1938$)⨓($7023$⨽$4242$))⪘⫢(⨵≀≌(↥$7028$)⊴($1317$⫡⨏$7973$))","expression":"((⪝⪂⫅(⊺⇮2396⩨⊺⇮1874))⋥≓≎(⊺⇮4277%⊺⇮1938)⨓(⊺⇮7023⨽⊺⇮4242))⪘⫢(⨵≀≌(↥⊺⇮7028)⊴(⊺⇮1317⫡⨏⊺⇮7973))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":30529,"operation_count":11,"complexity_ratio":2775.3636363636365,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2396,"base":10},"right_expr":{"type":"numeric_atoms","value":1874,"base":10}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4277,"base":10},"right_expr":{"type":"numeric_atoms","value":1938,"base":10}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":7023,"base":10},"right_expr":{"type":"numeric_atoms","value":4242,"base":10}}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":7028,"base":10}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1317,"base":10},"right_expr":{"type":"numeric_atoms","value":7973,"base":10}}}}},"used_operators":["oacrs7FA3X","Qy55tPpLXF","XTarYq4gQB","2DlMacCsIx","3ViojmjbAp","k8jYdgA6NY","8HhzD0ZcuI","srAu1WTS94","Nsiff2A1zJ","A8NUZmVepG","QMFrweE19q"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","dWAJyo7jo9","14qkJME0vr","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2396","layer":4},{"info":"number node, value=1874","layer":4},{"info":"compute binary expreesion, left_input=2396, right_input=1874, 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":"number node, value=4277","layer":4},{"info":"number node, value=1938","layer":4},{"info":"compute binary expreesion, left_input=4277, right_input=1938, op_id = k8jYdgA6NY binary_op_definition= 'None', output=401","layer":3},{"info":"number node, value=7023","layer":4},{"info":"number node, value=4242","layer":4},{"info":"compute binary expreesion, left_input=7023, right_input=4242, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-147978999","layer":3},{"info":"compute binary expreesion, left_input=401, right_input=-147978999, 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 = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=nan","layer":1},{"info":"number node, value=7028","layer":4},{"info":"compute unary expreesion, input=7028, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=41","layer":3},{"info":"number node, value=1317","layer":4},{"info":"number node, value=7973","layer":4},{"info":"compute binary expreesion, left_input=1317, right_input=7973, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=23314","layer":3},{"info":"compute binary expreesion, left_input=41, right_input=23314, 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":"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":10,"result_base":10,"text":"((⪝⪂⫅(⊺⇮2396⩨⊺⇮1874))⋥≓≎(⊺⇮4277%⊺⇮1938)⨓(⊺⇮7023⨽⊺⇮4242))⪘⫢(⨵≀≌(↥⊺⇮7028)⊴(⊺⇮1317⫡⨏⊺⇮7973))=NaN","reverse_text":"NaN=((⪝⪂⫅(⊺⇮2396⩨⊺⇮1874))⋥≓≎(⊺⇮4277%⊺⇮1938)⨓(⊺⇮7023⨽⊺⇮4242))⪘⫢(⨵≀≌(↥⊺⇮7028)⊴(⊺⇮1317⫡⨏⊺⇮7973))","cot":[{"info":"⊺⇮2396⩨⊺⇮1874=⊺⇮0","layer":3},{"info":"⪝⪂⫅⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮4277%⊺⇮1938=⊺⇮401","layer":3},{"info":"⊺⇮7023⨽⊺⇮4242=⊺⇮-147978999","layer":3},{"info":"⊺⇮401⨓⊺⇮-147978999=NaN","layer":2},{"info":"⊺⇮0⋥≓≎NaN=NaN","layer":1},{"info":"↥⊺⇮7028=⊺⇮41","layer":3},{"info":"⊺⇮1317⫡⨏⊺⇮7973=⊺⇮23314","layer":3},{"info":"⊺⇮41⊴⊺⇮23314=NaN","layer":2},{"info":"⨵≀≌NaN=NaN","layer":1},{"info":"NaN⪘⫢NaN=NaN","layer":0}]}
{"id":916,"expression_no_base_symbol":"(($4176$⫥∨⫟$3270$⫡⨏$8703$⨟⋌⩍$4342$)⫸⊐$1012$∑⇟⊟$3644$⨎(⨞⊢$3266$))↙(⇁⨣⪵$4171$)⩚⊴⇥($1576$⨸⪁$1630$)⨽(($1177$∲⫓$1262$)*($3798$⪒$4030$))","expression":"((⊺⇮4176⫥∨⫟⊺⇮3270⫡⨏⊺⇮8703⨟⋌⩍⊺⇮4342)⫸⊐⊺⇮1012∑⇟⊟⊺⇮3644⨎(⨞⊢⊺⇮3266))↙(⇁⨣⪵⊺⇮4171)⩚⊴⇥(⊺⇮1576⨸⪁⊺⇮1630)⨽((⊺⇮1177∲⫓⊺⇮1262)*(⊺⇮3798⪒⊺⇮4030))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":194,"operation_count":15,"complexity_ratio":12.933333333333334,"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":4176,"base":10},"right_expr":{"type":"numeric_atoms","value":3270,"base":10}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":8703,"base":10},"right_expr":{"type":"numeric_atoms","value":4342,"base":10}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1012,"base":10},"right_expr":{"type":"numeric_atoms","value":3644,"base":10}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":3266,"base":10}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":4171,"base":10}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1576,"base":10},"right_expr":{"type":"numeric_atoms","value":1630,"base":10}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1177,"base":10},"right_expr":{"type":"numeric_atoms","value":1262,"base":10}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3798,"base":10},"right_expr":{"type":"numeric_atoms","value":4030,"base":10}}}}},"used_operators":["yyfyN0ffXY","mqXw5SEYmG","QMFrweE19q","KYD54nUTWz","rGHVDoGpnC","rJVOvQCfKK","U7g4x0WXJJ","xUOZtlo3hN","8HhzD0ZcuI","NTOWxs364D","inkyxCbjAn","g55IO6H4Gj","9HNa5Wba9A","i8ToyICDmI","f6k1SAg4EE"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","Tcnh7f0tEr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","B5M0gjZbta","W4YGzv6Whe","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4176","layer":4},{"info":"number node, value=3270","layer":4},{"info":"compute binary expreesion, left_input=4176, right_input=3270, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=8703","layer":4},{"info":"number node, value=4342","layer":4},{"info":"compute binary expreesion, left_input=8703, right_input=4342, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = 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=1012","layer":4},{"info":"number node, value=3644","layer":4},{"info":"compute binary expreesion, left_input=1012, right_input=3644, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=3266","layer":4},{"info":"compute unary expreesion, input=3266, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-3440","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3440, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-3440","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3440, 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=4171","layer":4},{"info":"compute unary expreesion, input=4171, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=1576","layer":4},{"info":"number node, value=1630","layer":4},{"info":"compute binary expreesion, left_input=1576, right_input=1630, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=6412","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6412, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"number node, value=1177","layer":4},{"info":"number node, value=1262","layer":4},{"info":"compute binary expreesion, left_input=1177, right_input=1262, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=3798","layer":4},{"info":"number node, value=4030","layer":4},{"info":"compute binary expreesion, left_input=3798, right_input=4030, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7828","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-7828, op_id = 9HNa5Wba9A binary_op_definition= 'None', 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 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":10,"result_base":10,"text":"((⊺⇮4176⫥∨⫟⊺⇮3270⫡⨏⊺⇮8703⨟⋌⩍⊺⇮4342)⫸⊐⊺⇮1012∑⇟⊟⊺⇮3644⨎(⨞⊢⊺⇮3266))↙(⇁⨣⪵⊺⇮4171)⩚⊴⇥(⊺⇮1576⨸⪁⊺⇮1630)⨽((⊺⇮1177∲⫓⊺⇮1262)*(⊺⇮3798⪒⊺⇮4030))=NaN","reverse_text":"NaN=((⊺⇮4176⫥∨⫟⊺⇮3270⫡⨏⊺⇮8703⨟⋌⩍⊺⇮4342)⫸⊐⊺⇮1012∑⇟⊟⊺⇮3644⨎(⨞⊢⊺⇮3266))↙(⇁⨣⪵⊺⇮4171)⩚⊴⇥(⊺⇮1576⨸⪁⊺⇮1630)⨽((⊺⇮1177∲⫓⊺⇮1262)*(⊺⇮3798⪒⊺⇮4030))","cot":[{"info":"⊺⇮4176⫥∨⫟⊺⇮3270=NaN","layer":3},{"info":"⊺⇮8703⨟⋌⩍⊺⇮4342=NaN","layer":3},{"info":"NaN⫡⨏NaN=NaN","layer":2},{"info":"⊺⇮1012∑⇟⊟⊺⇮3644=NaN","layer":3},{"info":"⨞⊢⊺⇮3266=⊺⇮-3440","layer":3},{"info":"NaN⨎⊺⇮-3440=⊺⇮-3440","layer":2},{"info":"NaN⫸⊐⊺⇮-3440=NaN","layer":1},{"info":"⇁⨣⪵⊺⇮4171=NaN","layer":3},{"info":"⊺⇮1576⨸⪁⊺⇮1630=⊺⇮6412","layer":3},{"info":"NaN⩚⊴⇥⊺⇮6412=NaN","layer":2},{"info":"⊺⇮1177∲⫓⊺⇮1262=⊺⇮0","layer":3},{"info":"⊺⇮3798⪒⊺⇮4030=⊺⇮-7828","layer":3},{"info":"⊺⇮0*⊺⇮-7828=⊺⇮0","layer":2},{"info":"NaN⨽⊺⇮0=NaN","layer":1},{"info":"NaN↙NaN=NaN","layer":0}]}
{"id":917,"expression_no_base_symbol":"((⫛⫱⨽$4005$)⨰$1896$∼$2969$⪨≂(⪝⪂⫅($1018$⫡⨏$5489$)))⋳⪒(-($1076$⫡⨏$6786$))∀⇚≩($4894$⨪↰⇹$3154$-$2641$⪘⫢$1754$)","expression":"((⫛⫱⨽⊺⇮4005)⨰⊺⇮1896∼⊺⇮2969⪨≂(⪝⪂⫅(⊺⇮1018⫡⨏⊺⇮5489)))⋳⪒(-(⊺⇮1076⫡⨏⊺⇮6786))∀⇚≩(⊺⇮4894⨪↰⇹⊺⇮3154-⊺⇮2641⪘⫢⊺⇮1754)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":144699,"operation_count":13,"complexity_ratio":11130.692307692309,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":4005,"base":10}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1896,"base":10},"right_expr":{"type":"numeric_atoms","value":2969,"base":10}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1018,"base":10},"right_expr":{"type":"numeric_atoms","value":5489,"base":10}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1076,"base":10},"right_expr":{"type":"numeric_atoms","value":6786,"base":10}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4894,"base":10},"right_expr":{"type":"numeric_atoms","value":3154,"base":10}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2641,"base":10},"right_expr":{"type":"numeric_atoms","value":1754,"base":10}}}}},"used_operators":["12rbrZMWeM","sdazOOVcIp","eewbuw0ToL","DlLNRPXxWL","DyGG3AbaNP","XTarYq4gQB","QMFrweE19q","LRNGc0VcxI","t8gj7n24qd","rysDP5nf3Z","tmPS8pqC7x","oacrs7FA3X"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","rJVOvQCfKK","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4005","layer":4},{"info":"compute unary expreesion, input=4005, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=1896","layer":4},{"info":"number node, value=2969","layer":4},{"info":"compute binary expreesion, left_input=1896, right_input=2969, 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 = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"number node, value=1018","layer":4},{"info":"number node, value=5489","layer":4},{"info":"compute binary expreesion, left_input=1018, right_input=5489, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=16851","layer":3},{"info":"compute unary expreesion, input=16851, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-2477097","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2477097, op_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=1076","layer":4},{"info":"number node, value=6786","layer":4},{"info":"compute binary expreesion, left_input=1076, right_input=6786, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=19735","layer":3},{"info":"compute unary expreesion, input=19735, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-19735","layer":2},{"info":"number node, value=4894","layer":4},{"info":"number node, value=3154","layer":4},{"info":"compute binary expreesion, left_input=4894, right_input=3154, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=4894","layer":3},{"info":"number node, value=2641","layer":4},{"info":"number node, value=1754","layer":4},{"info":"compute binary expreesion, left_input=2641, right_input=1754, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5158","layer":3},{"info":"compute binary expreesion, left_input=4894, right_input=5158, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-264","layer":2},{"info":"compute binary expreesion, left_input=-19735, right_input=-264, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⫛⫱⨽⊺⇮4005)⨰⊺⇮1896∼⊺⇮2969⪨≂(⪝⪂⫅(⊺⇮1018⫡⨏⊺⇮5489)))⋳⪒(-(⊺⇮1076⫡⨏⊺⇮6786))∀⇚≩(⊺⇮4894⨪↰⇹⊺⇮3154-⊺⇮2641⪘⫢⊺⇮1754)=NaN","reverse_text":"NaN=((⫛⫱⨽⊺⇮4005)⨰⊺⇮1896∼⊺⇮2969⪨≂(⪝⪂⫅(⊺⇮1018⫡⨏⊺⇮5489)))⋳⪒(-(⊺⇮1076⫡⨏⊺⇮6786))∀⇚≩(⊺⇮4894⨪↰⇹⊺⇮3154-⊺⇮2641⪘⫢⊺⇮1754)","cot":[{"info":"⫛⫱⨽⊺⇮4005=⊺⇮0","layer":3},{"info":"⊺⇮1896∼⊺⇮2969=NaN","layer":3},{"info":"⊺⇮0⨰NaN=NaN","layer":2},{"info":"⊺⇮1018⫡⨏⊺⇮5489=⊺⇮16851","layer":3},{"info":"⪝⪂⫅⊺⇮16851=⊺⇮-2477097","layer":2},{"info":"NaN⪨≂⊺⇮-2477097=NaN","layer":1},{"info":"⊺⇮1076⫡⨏⊺⇮6786=⊺⇮19735","layer":3},{"info":"-⊺⇮19735=⊺⇮-19735","layer":2},{"info":"⊺⇮4894⨪↰⇹⊺⇮3154=⊺⇮4894","layer":3},{"info":"⊺⇮2641⪘⫢⊺⇮1754=⊺⇮5158","layer":3},{"info":"⊺⇮4894-⊺⇮5158=⊺⇮-264","layer":2},{"info":"⊺⇮-19735∀⇚≩⊺⇮-264=NaN","layer":1},{"info":"NaN⋳⪒NaN=NaN","layer":0}]}
{"id":918,"expression_no_base_symbol":"(($2327$⨟⋌⩍$1525$)⨟⋌⩍($5786$⩷∴$2993$)*((⫓⪴$4638$)%(∥⊫$4906$)))∑⇟⊟((($4279$∲⫓$2013$)*$5352$⨰$1313$)∧)","expression":"((⊺⇮2327⨟⋌⩍⊺⇮1525)⨟⋌⩍(⊺⇮5786⩷∴⊺⇮2993)*((⫓⪴⊺⇮4638)%(∥⊫⊺⇮4906)))∑⇟⊟(((⊺⇮4279∲⫓⊺⇮2013)*⊺⇮5352⨰⊺⇮1313)∧)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8391,"operation_count":12,"complexity_ratio":699.25,"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":2327,"base":10},"right_expr":{"type":"numeric_atoms","value":1525,"base":10}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":5786,"base":10},"right_expr":{"type":"numeric_atoms","value":2993,"base":10}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":4638,"base":10}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":4906,"base":10}}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4279,"base":10},"right_expr":{"type":"numeric_atoms","value":2013,"base":10}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":5352,"base":10},"right_expr":{"type":"numeric_atoms","value":1313,"base":10}}}}},"used_operators":["U7g4x0WXJJ","9HNa5Wba9A","rGHVDoGpnC","9FxExcQeMw","k8jYdgA6NY","eLxqMNBOBk","P8v4zCKN1o","z63VuFQld9","i8ToyICDmI","eewbuw0ToL"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","Tcnh7f0tEr","rysDP5nf3Z","rysDP5nf3Z","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2327","layer":4},{"info":"number node, value=1525","layer":4},{"info":"compute binary expreesion, left_input=2327, right_input=1525, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=5786","layer":4},{"info":"number node, value=2993","layer":4},{"info":"compute binary expreesion, left_input=5786, right_input=2993, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=5554","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5554, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=4638","layer":4},{"info":"compute unary expreesion, input=4638, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=21511044","layer":3},{"info":"number node, value=4906","layer":4},{"info":"compute unary expreesion, input=4906, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=5774","layer":3},{"info":"compute binary expreesion, left_input=21511044, right_input=5774, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2894","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2894, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=4279","layer":4},{"info":"number node, value=2013","layer":4},{"info":"compute binary expreesion, left_input=4279, right_input=2013, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=5352","layer":4},{"info":"number node, value=1313","layer":4},{"info":"compute binary expreesion, left_input=5352, right_input=1313, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=4049","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4049, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=0","layer":1},{"info":"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":0}],"base":10,"result_base":10,"text":"((⊺⇮2327⨟⋌⩍⊺⇮1525)⨟⋌⩍(⊺⇮5786⩷∴⊺⇮2993)*((⫓⪴⊺⇮4638)%(∥⊫⊺⇮4906)))∑⇟⊟(((⊺⇮4279∲⫓⊺⇮2013)*⊺⇮5352⨰⊺⇮1313)∧)=NaN","reverse_text":"NaN=((⊺⇮2327⨟⋌⩍⊺⇮1525)⨟⋌⩍(⊺⇮5786⩷∴⊺⇮2993)*((⫓⪴⊺⇮4638)%(∥⊫⊺⇮4906)))∑⇟⊟(((⊺⇮4279∲⫓⊺⇮2013)*⊺⇮5352⨰⊺⇮1313)∧)","cot":[{"info":"⊺⇮2327⨟⋌⩍⊺⇮1525=NaN","layer":3},{"info":"⊺⇮5786⩷∴⊺⇮2993=⊺⇮5554","layer":3},{"info":"NaN⨟⋌⩍⊺⇮5554=NaN","layer":2},{"info":"⫓⪴⊺⇮4638=⊺⇮21511044","layer":3},{"info":"∥⊫⊺⇮4906=⊺⇮5774","layer":3},{"info":"⊺⇮21511044%⊺⇮5774=⊺⇮2894","layer":2},{"info":"NaN*⊺⇮2894=NaN","layer":1},{"info":"⊺⇮4279∲⫓⊺⇮2013=⊺⇮0","layer":3},{"info":"⊺⇮5352⨰⊺⇮1313=⊺⇮4049","layer":3},{"info":"⊺⇮0*⊺⇮4049=⊺⇮0","layer":2},{"info":"⊺⇮0∧=⊺⇮0","layer":1},{"info":"NaN∑⇟⊟⊺⇮0=NaN","layer":0}]}
{"id":919,"expression_no_base_symbol":"((⫓⪴(⨵≀≌$2057$))↙($4828$⩨$3439$)⨟⋌⩍(⨵≀≌$2665$))⩷∴(($2728$⨪↰⇹$3176$)⨪↰⇹($2934$↪⪝))∀⇚≩(⫓⪴($3708$∲⫓$4107$))","expression":"((⫓⪴(⨵≀≌⊺⇮2057))↙(⊺⇮4828⩨⊺⇮3439)⨟⋌⩍(⨵≀≌⊺⇮2665))⩷∴((⊺⇮2728⨪↰⇹⊺⇮3176)⨪↰⇹(⊺⇮2934↪⪝))∀⇚≩(⫓⪴(⊺⇮3708∲⫓⊺⇮4107))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":31447,"operation_count":13,"complexity_ratio":2419.0,"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":2057,"base":10}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4828,"base":10},"right_expr":{"type":"numeric_atoms","value":3439,"base":10}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":2665,"base":10}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2728,"base":10},"right_expr":{"type":"numeric_atoms","value":3176,"base":10}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":2934,"base":10}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3708,"base":10},"right_expr":{"type":"numeric_atoms","value":4107,"base":10}}}}},"used_operators":["9FxExcQeMw","yyfyN0ffXY","eLxqMNBOBk","srAu1WTS94","rGHVDoGpnC","2DlMacCsIx","LRNGc0VcxI","tmPS8pqC7x","l07mrZUIn9","i8ToyICDmI"],"dependent_operators":["rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","9HNa5Wba9A","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","Tcnh7f0tEr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","X99M06cbEe","rJVOvQCfKK","9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2057","layer":4},{"info":"compute unary expreesion, input=2057, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-6171","layer":3},{"info":"compute unary expreesion, input=-6171, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=38081241","layer":2},{"info":"number node, value=4828","layer":4},{"info":"number node, value=3439","layer":4},{"info":"compute binary expreesion, left_input=4828, right_input=3439, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=2665","layer":4},{"info":"compute unary expreesion, input=2665, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-7995","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-7995, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=38081241, 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=2728","layer":4},{"info":"number node, value=3176","layer":4},{"info":"compute binary expreesion, left_input=2728, right_input=3176, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2728","layer":3},{"info":"number node, value=2934","layer":4},{"info":"compute unary expreesion, input=2934, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=179507988","layer":3},{"info":"compute binary expreesion, left_input=2728, right_input=179507988, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2728","layer":2},{"info":"number node, value=3708","layer":4},{"info":"number node, value=4107","layer":4},{"info":"compute binary expreesion, left_input=3708, right_input=4107, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=2728, 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 = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⫓⪴(⨵≀≌⊺⇮2057))↙(⊺⇮4828⩨⊺⇮3439)⨟⋌⩍(⨵≀≌⊺⇮2665))⩷∴((⊺⇮2728⨪↰⇹⊺⇮3176)⨪↰⇹(⊺⇮2934↪⪝))∀⇚≩(⫓⪴(⊺⇮3708∲⫓⊺⇮4107))=NaN","reverse_text":"NaN=((⫓⪴(⨵≀≌⊺⇮2057))↙(⊺⇮4828⩨⊺⇮3439)⨟⋌⩍(⨵≀≌⊺⇮2665))⩷∴((⊺⇮2728⨪↰⇹⊺⇮3176)⨪↰⇹(⊺⇮2934↪⪝))∀⇚≩(⫓⪴(⊺⇮3708∲⫓⊺⇮4107))","cot":[{"info":"⨵≀≌⊺⇮2057=⊺⇮-6171","layer":3},{"info":"⫓⪴⊺⇮-6171=⊺⇮38081241","layer":2},{"info":"⊺⇮4828⩨⊺⇮3439=⊺⇮0","layer":3},{"info":"⨵≀≌⊺⇮2665=⊺⇮-7995","layer":3},{"info":"⊺⇮0⨟⋌⩍⊺⇮-7995=NaN","layer":2},{"info":"⊺⇮38081241↙NaN=NaN","layer":1},{"info":"⊺⇮2728⨪↰⇹⊺⇮3176=⊺⇮2728","layer":3},{"info":"⊺⇮2934↪⪝=⊺⇮179507988","layer":3},{"info":"⊺⇮2728⨪↰⇹⊺⇮179507988=⊺⇮2728","layer":2},{"info":"⊺⇮3708∲⫓⊺⇮4107=⊺⇮0","layer":3},{"info":"⫓⪴⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮2728∀⇚≩⊺⇮0=NaN","layer":1},{"info":"NaN⩷∴NaN=NaN","layer":0}]}
{"id":920,"expression_no_base_symbol":"(↔($1198$⪛$7880$⫡⨏($2547$⫩⊇)))↙((($1020$⋳⪒$1022$)≦≮≮)⊪)","expression":"(↔(⊺⇮1198⪛⊺⇮7880⫡⨏(⊺⇮2547⫩⊇)))↙(((⊺⇮1020⋳⪒⊺⇮1022)≦≮≮)⊪)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6627,"operation_count":8,"complexity_ratio":828.375,"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":1198,"base":10},"right_expr":{"type":"numeric_atoms","value":7880,"base":10}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":2547,"base":10}}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1020,"base":10},"right_expr":{"type":"numeric_atoms","value":1022,"base":10}}}}},"used_operators":["yyfyN0ffXY","ruOEQAzv1W","QMFrweE19q","uFcxV4UQCh","BjRHVeLaeN","zVYPLywUTj","D4vGDi5EA2","12rbrZMWeM"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⊺⇮-1490","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1198","layer":4},{"info":"number node, value=7880","layer":4},{"info":"compute binary expreesion, left_input=1198, right_input=7880, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1198","layer":3},{"info":"number node, value=2547","layer":4},{"info":"compute unary expreesion, input=2547, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-2505","layer":3},{"info":"compute binary expreesion, left_input=1198, right_input=-2505, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=1763","layer":2},{"info":"compute unary expreesion, input=1763, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1490","layer":1},{"info":"number node, value=1020","layer":4},{"info":"number node, value=1022","layer":4},{"info":"compute binary expreesion, left_input=1020, right_input=1022, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=731","layer":3},{"info":"compute unary expreesion, input=731, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-2193","layer":2},{"info":"compute unary expreesion, input=-2193, 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=48347300","layer":1},{"info":"compute binary expreesion, left_input=-1490, right_input=48347300, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-1490","layer":0}],"base":10,"result_base":10,"text":"(↔(⊺⇮1198⪛⊺⇮7880⫡⨏(⊺⇮2547⫩⊇)))↙(((⊺⇮1020⋳⪒⊺⇮1022)≦≮≮)⊪)=⊺⇮-1490","reverse_text":"⊺⇮-1490=(↔(⊺⇮1198⪛⊺⇮7880⫡⨏(⊺⇮2547⫩⊇)))↙(((⊺⇮1020⋳⪒⊺⇮1022)≦≮≮)⊪)","cot":[{"info":"⊺⇮1198⪛⊺⇮7880=⊺⇮1198","layer":3},{"info":"⊺⇮2547⫩⊇=⊺⇮-2505","layer":3},{"info":"⊺⇮1198⫡⨏⊺⇮-2505=⊺⇮1763","layer":2},{"info":"↔⊺⇮1763=⊺⇮-1490","layer":1},{"info":"⊺⇮1020⋳⪒⊺⇮1022=⊺⇮731","layer":3},{"info":"⊺⇮731≦≮≮=⊺⇮-2193","layer":2},{"info":"⊺⇮-2193⊪=⊺⇮48347300","layer":1},{"info":"⊺⇮-1490↙⊺⇮48347300=⊺⇮-1490","layer":0}]}
{"id":921,"expression_no_base_symbol":"((⊥$1064$)∲⫓$1973$⊉≛↸$1721$+(⨞⊢$2629$⨽$4097$))⩨(($1530$⪨≂$4009$)↺($2386$⫡⨏$1687$))⇷($3799$⪘⫢$5862$)⊴(∂$1099$)","expression":"((⊥⊺⇮1064)∲⫓⊺⇮1973⊉≛↸⊺⇮1721+(⨞⊢⊺⇮2629⨽⊺⇮4097))⩨((⊺⇮1530⪨≂⊺⇮4009)↺(⊺⇮2386⫡⨏⊺⇮1687))⇷(⊺⇮3799⪘⫢⊺⇮5862)⊴(∂⊺⇮1099)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":227911,"operation_count":14,"complexity_ratio":16279.357142857143,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1064,"base":10}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1973,"base":10},"right_expr":{"type":"numeric_atoms","value":1721,"base":10}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2629,"base":10},"right_expr":{"type":"numeric_atoms","value":4097,"base":10}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1530,"base":10},"right_expr":{"type":"numeric_atoms","value":4009,"base":10}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2386,"base":10},"right_expr":{"type":"numeric_atoms","value":1687,"base":10}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3799,"base":10},"right_expr":{"type":"numeric_atoms","value":5862,"base":10}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1099,"base":10}}}}},"used_operators":["2DlMacCsIx","W4YGzv6Whe","i8ToyICDmI","Q3PJZHRvZv","DZ8iAZOCBD","xUOZtlo3hN","8HhzD0ZcuI","mp7IySMOzn","7j4O788W3g","sdazOOVcIp","QMFrweE19q","Nsiff2A1zJ","oacrs7FA3X","Uaa54Peajs"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1064","layer":4},{"info":"compute unary expreesion, input=1064, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=1973","layer":4},{"info":"number node, value=1721","layer":4},{"info":"compute binary expreesion, left_input=1973, right_input=1721, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3946","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3946, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=2629","layer":4},{"info":"number node, value=4097","layer":4},{"info":"compute binary expreesion, left_input=2629, right_input=4097, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-20745900","layer":3},{"info":"compute unary expreesion, input=-20745900, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=20745726","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=20745726, op_id = W4YGzv6Whe binary_op_definition= 'None', output=20745726","layer":1},{"info":"number node, value=1530","layer":4},{"info":"number node, value=4009","layer":4},{"info":"compute binary expreesion, left_input=1530, right_input=4009, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-4856","layer":3},{"info":"number node, value=2386","layer":4},{"info":"number node, value=1687","layer":4},{"info":"compute binary expreesion, left_input=2386, right_input=1687, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=16087","layer":3},{"info":"compute binary expreesion, left_input=-4856, right_input=16087, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=16087","layer":2},{"info":"number node, value=3799","layer":4},{"info":"number node, value=5862","layer":4},{"info":"compute binary expreesion, left_input=3799, right_input=5862, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=7474","layer":3},{"info":"number node, value=1099","layer":4},{"info":"compute unary expreesion, input=1099, 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=7474, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=16087, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=20745726, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊥⊺⇮1064)∲⫓⊺⇮1973⊉≛↸⊺⇮1721+(⨞⊢⊺⇮2629⨽⊺⇮4097))⩨((⊺⇮1530⪨≂⊺⇮4009)↺(⊺⇮2386⫡⨏⊺⇮1687))⇷(⊺⇮3799⪘⫢⊺⇮5862)⊴(∂⊺⇮1099)=NaN","reverse_text":"NaN=((⊥⊺⇮1064)∲⫓⊺⇮1973⊉≛↸⊺⇮1721+(⨞⊢⊺⇮2629⨽⊺⇮4097))⩨((⊺⇮1530⪨≂⊺⇮4009)↺(⊺⇮2386⫡⨏⊺⇮1687))⇷(⊺⇮3799⪘⫢⊺⇮5862)⊴(∂⊺⇮1099)","cot":[{"info":"⊥⊺⇮1064=NaN","layer":3},{"info":"⊺⇮1973⊉≛↸⊺⇮1721=⊺⇮3946","layer":3},{"info":"NaN∲⫓⊺⇮3946=⊺⇮0","layer":2},{"info":"⊺⇮2629⨽⊺⇮4097=⊺⇮-20745900","layer":3},{"info":"⨞⊢⊺⇮-20745900=⊺⇮20745726","layer":2},{"info":"⊺⇮0+⊺⇮20745726=⊺⇮20745726","layer":1},{"info":"⊺⇮1530⪨≂⊺⇮4009=⊺⇮-4856","layer":3},{"info":"⊺⇮2386⫡⨏⊺⇮1687=⊺⇮16087","layer":3},{"info":"⊺⇮-4856↺⊺⇮16087=⊺⇮16087","layer":2},{"info":"⊺⇮3799⪘⫢⊺⇮5862=⊺⇮7474","layer":3},{"info":"∂⊺⇮1099=NaN","layer":3},{"info":"⊺⇮7474⊴NaN=NaN","layer":2},{"info":"⊺⇮16087⇷NaN=NaN","layer":1},{"info":"⊺⇮20745726⩨NaN=NaN","layer":0}]}
{"id":922,"expression_no_base_symbol":"≉($1806$⋓$1149$)≹⇙⪍($1925$≭$1291$)↙($4489$⨸⪁$2879$⫡⨏$1966$⨽$1153$)","expression":"≉(⊺⇮1806⋓⊺⇮1149)≹⇙⪍(⊺⇮1925≭⊺⇮1291)↙(⊺⇮4489⨸⪁⊺⇮2879⫡⨏⊺⇮1966⨽⊺⇮1153)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2002,"operation_count":8,"complexity_ratio":250.25,"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":1806,"base":10},"right_expr":{"type":"numeric_atoms","value":1149,"base":10}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1925,"base":10},"right_expr":{"type":"numeric_atoms","value":1291,"base":10}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4489,"base":10},"right_expr":{"type":"numeric_atoms","value":2879,"base":10}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1966,"base":10},"right_expr":{"type":"numeric_atoms","value":1153,"base":10}}}}},"used_operators":["e1ybzncUwg","yyfyN0ffXY","AHs5Up7iyr","T2fj7uvVaJ","rxpJgHHUmx","QMFrweE19q","g55IO6H4Gj","8HhzD0ZcuI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","dWAJyo7jo9","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1806","layer":4},{"info":"number node, value=1149","layer":4},{"info":"compute binary expreesion, left_input=1806, right_input=1149, op_id = T2fj7uvVaJ binary_op_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=1925","layer":4},{"info":"number node, value=1291","layer":4},{"info":"compute binary expreesion, left_input=1925, right_input=1291, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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 = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=4489","layer":4},{"info":"number node, value=2879","layer":4},{"info":"compute binary expreesion, left_input=4489, right_input=2879, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=14736","layer":3},{"info":"number node, value=1966","layer":4},{"info":"number node, value=1153","layer":4},{"info":"compute binary expreesion, left_input=1966, right_input=1153, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-11597613","layer":3},{"info":"compute binary expreesion, left_input=14736, right_input=-11597613, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-23120763","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-23120763, 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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"≉(⊺⇮1806⋓⊺⇮1149)≹⇙⪍(⊺⇮1925≭⊺⇮1291)↙(⊺⇮4489⨸⪁⊺⇮2879⫡⨏⊺⇮1966⨽⊺⇮1153)=NaN","reverse_text":"NaN=≉(⊺⇮1806⋓⊺⇮1149)≹⇙⪍(⊺⇮1925≭⊺⇮1291)↙(⊺⇮4489⨸⪁⊺⇮2879⫡⨏⊺⇮1966⨽⊺⇮1153)","cot":[{"info":"⊺⇮1806⋓⊺⇮1149=⊺⇮0","layer":3},{"info":"⊺⇮1925≭⊺⇮1291=NaN","layer":3},{"info":"⊺⇮0≹⇙⪍NaN=NaN","layer":2},{"info":"⊺⇮4489⨸⪁⊺⇮2879=⊺⇮14736","layer":3},{"info":"⊺⇮1966⨽⊺⇮1153=⊺⇮-11597613","layer":3},{"info":"⊺⇮14736⫡⨏⊺⇮-11597613=⊺⇮-23120763","layer":2},{"info":"NaN↙⊺⇮-23120763=NaN","layer":1},{"info":"≉NaN=NaN","layer":0}]}
{"id":923,"expression_no_base_symbol":"(($4906$∲⫓$5097$)↬($3082$+$1599$)⩚⊴⇥((⊥$2714$)↙$1832$⨟⋌⩍$1974$))≦≮≮","expression":"((⊺⇮4906∲⫓⊺⇮5097)↬(⊺⇮3082+⊺⇮1599)⩚⊴⇥((⊥⊺⇮2714)↙⊺⇮1832⨟⋌⩍⊺⇮1974))≦≮≮","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":13,"operation_count":8,"complexity_ratio":1.625,"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":4906,"base":10},"right_expr":{"type":"numeric_atoms","value":5097,"base":10}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3082,"base":10},"right_expr":{"type":"numeric_atoms","value":1599,"base":10}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":2714,"base":10}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1832,"base":10},"right_expr":{"type":"numeric_atoms","value":1974,"base":10}}}}},"used_operators":["D4vGDi5EA2","NTOWxs364D","B5M0gjZbta","i8ToyICDmI","W4YGzv6Whe","yyfyN0ffXY","Q3PJZHRvZv","rGHVDoGpnC"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","fu6greOZ01","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=4906","layer":4},{"info":"number node, value=5097","layer":4},{"info":"compute binary expreesion, left_input=4906, right_input=5097, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=3082","layer":4},{"info":"number node, value=1599","layer":4},{"info":"compute binary expreesion, left_input=3082, right_input=1599, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4681","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4681, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=4681","layer":2},{"info":"number node, value=2714","layer":4},{"info":"compute unary expreesion, input=2714, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=1832","layer":4},{"info":"number node, value=1974","layer":4},{"info":"compute binary expreesion, left_input=1832, right_input=1974, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4681, 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 = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮4906∲⫓⊺⇮5097)↬(⊺⇮3082+⊺⇮1599)⩚⊴⇥((⊥⊺⇮2714)↙⊺⇮1832⨟⋌⩍⊺⇮1974))≦≮≮=NaN","reverse_text":"NaN=((⊺⇮4906∲⫓⊺⇮5097)↬(⊺⇮3082+⊺⇮1599)⩚⊴⇥((⊥⊺⇮2714)↙⊺⇮1832⨟⋌⩍⊺⇮1974))≦≮≮","cot":[{"info":"⊺⇮4906∲⫓⊺⇮5097=⊺⇮0","layer":3},{"info":"⊺⇮3082+⊺⇮1599=⊺⇮4681","layer":3},{"info":"⊺⇮0↬⊺⇮4681=⊺⇮4681","layer":2},{"info":"⊥⊺⇮2714=NaN","layer":3},{"info":"⊺⇮1832⨟⋌⩍⊺⇮1974=NaN","layer":3},{"info":"NaN↙NaN=NaN","layer":2},{"info":"⊺⇮4681⩚⊴⇥NaN=NaN","layer":1},{"info":"NaN≦≮≮=NaN","layer":0}]}
{"id":924,"expression_no_base_symbol":"($1975$∀⇚≩$7605$⋳⪒($4237$⨽$7515$)⋥≓≎($4678$⪐)∀⇚≩(⨰⫟⨤$1384$))⨓(($3463$⋥≓≎$2246$)⇷($1576$⨰$1451$)≎⊠⪸(⪝⪂⫅($1467$⫥∨⫟$1453$)))","expression":"(⊺⇮1975∀⇚≩⊺⇮7605⋳⪒(⊺⇮4237⨽⊺⇮7515)⋥≓≎(⊺⇮4678⪐)∀⇚≩(⨰⫟⨤⊺⇮1384))⨓((⊺⇮3463⋥≓≎⊺⇮2246)⇷(⊺⇮1576⨰⊺⇮1451)≎⊠⪸(⪝⪂⫅(⊺⇮1467⫥∨⫟⊺⇮1453)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":103396,"operation_count":14,"complexity_ratio":7385.428571428572,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1975,"base":10},"right_expr":{"type":"numeric_atoms","value":7605,"base":10}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4237,"base":10},"right_expr":{"type":"numeric_atoms","value":7515,"base":10}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":4678,"base":10}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1384,"base":10}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3463,"base":10},"right_expr":{"type":"numeric_atoms","value":2246,"base":10}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1576,"base":10},"right_expr":{"type":"numeric_atoms","value":1451,"base":10}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1467,"base":10},"right_expr":{"type":"numeric_atoms","value":1453,"base":10}}}}},"used_operators":["3ViojmjbAp","Qy55tPpLXF","12rbrZMWeM","LRNGc0VcxI","8HhzD0ZcuI","eH2TOUuTDT","Tw270M8GLb","bJkvcejdHO","mp7IySMOzn","eewbuw0ToL","XTarYq4gQB","KYD54nUTWz"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","8HhzD0ZcuI","rGHVDoGpnC"],"result":"⊺⇮-70","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1975","layer":4},{"info":"number node, value=7605","layer":4},{"info":"compute binary expreesion, left_input=1975, right_input=7605, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=4237","layer":4},{"info":"number node, value=7515","layer":4},{"info":"compute binary expreesion, left_input=4237, right_input=7515, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-53877738","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-53877738, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"number node, value=4678","layer":4},{"info":"compute unary expreesion, input=4678, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=9356","layer":3},{"info":"number node, value=1384","layer":4},{"info":"compute unary expreesion, input=1384, 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=9356, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":1},{"info":"number node, value=3463","layer":4},{"info":"number node, value=2246","layer":4},{"info":"compute binary expreesion, left_input=3463, right_input=2246, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1062","layer":3},{"info":"number node, value=1576","layer":4},{"info":"number node, value=1451","layer":4},{"info":"compute binary expreesion, left_input=1576, right_input=1451, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=135","layer":3},{"info":"compute binary expreesion, left_input=1062, right_input=135, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=270","layer":2},{"info":"number node, value=1467","layer":4},{"info":"number node, value=1453","layer":4},{"info":"compute binary expreesion, left_input=1467, right_input=1453, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=270, 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=67, right_input=67, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-70","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1975∀⇚≩⊺⇮7605⋳⪒(⊺⇮4237⨽⊺⇮7515)⋥≓≎(⊺⇮4678⪐)∀⇚≩(⨰⫟⨤⊺⇮1384))⨓((⊺⇮3463⋥≓≎⊺⇮2246)⇷(⊺⇮1576⨰⊺⇮1451)≎⊠⪸(⪝⪂⫅(⊺⇮1467⫥∨⫟⊺⇮1453)))=⊺⇮-70","reverse_text":"⊺⇮-70=(⊺⇮1975∀⇚≩⊺⇮7605⋳⪒(⊺⇮4237⨽⊺⇮7515)⋥≓≎(⊺⇮4678⪐)∀⇚≩(⨰⫟⨤⊺⇮1384))⨓((⊺⇮3463⋥≓≎⊺⇮2246)⇷(⊺⇮1576⨰⊺⇮1451)≎⊠⪸(⪝⪂⫅(⊺⇮1467⫥∨⫟⊺⇮1453)))","cot":[{"info":"⊺⇮1975∀⇚≩⊺⇮7605=NaN","layer":3},{"info":"⊺⇮4237⨽⊺⇮7515=⊺⇮-53877738","layer":3},{"info":"NaN⋳⪒⊺⇮-53877738=NaN","layer":2},{"info":"⊺⇮4678⪐=⊺⇮9356","layer":3},{"info":"⨰⫟⨤⊺⇮1384=NaN","layer":3},{"info":"⊺⇮9356∀⇚≩NaN=NaN","layer":2},{"info":"NaN⋥≓≎NaN=⊺⇮67","layer":1},{"info":"⊺⇮3463⋥≓≎⊺⇮2246=⊺⇮1062","layer":3},{"info":"⊺⇮1576⨰⊺⇮1451=⊺⇮135","layer":3},{"info":"⊺⇮1062⇷⊺⇮135=⊺⇮270","layer":2},{"info":"⊺⇮1467⫥∨⫟⊺⇮1453=NaN","layer":3},{"info":"⪝⪂⫅NaN=NaN","layer":2},{"info":"⊺⇮270≎⊠⪸NaN=⊺⇮67","layer":1},{"info":"⊺⇮67⨓⊺⇮67=⊺⇮-70","layer":0}]}
{"id":925,"expression_no_base_symbol":"(⨈⫕(⨈⫕$1051$))⇷(($4372$∧)⋝⋈⪟($1743$⨸⪁$3719$))⩷∴(($2379$+$5974$)≹⇙⪍($1429$⨪↰⇹$1662$)⪒(∥⊫$1320$)⪄$2083$⋳⪒$3960$)","expression":"(⨈⫕(⨈⫕⊺⇮1051))⇷((⊺⇮4372∧)⋝⋈⪟(⊺⇮1743⨸⪁⊺⇮3719))⩷∴((⊺⇮2379+⊺⇮5974)≹⇙⪍(⊺⇮1429⨪↰⇹⊺⇮1662)⪒(∥⊫⊺⇮1320)⪄⊺⇮2083⋳⪒⊺⇮3960)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2630,"operation_count":14,"complexity_ratio":187.85714285714286,"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":1051,"base":10}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":4372,"base":10}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1743,"base":10},"right_expr":{"type":"numeric_atoms","value":3719,"base":10}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2379,"base":10},"right_expr":{"type":"numeric_atoms","value":5974,"base":10}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1429,"base":10},"right_expr":{"type":"numeric_atoms","value":1662,"base":10}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1320,"base":10}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2083,"base":10},"right_expr":{"type":"numeric_atoms","value":3960,"base":10}}}}},"used_operators":["9FxExcQeMw","mp7IySMOzn","megm06wKyl","2DDjHMKMc0","z63VuFQld9","g55IO6H4Gj","f6k1SAg4EE","AHs5Up7iyr","W4YGzv6Whe","tmPS8pqC7x","SUmda5xLS4","P8v4zCKN1o","12rbrZMWeM"],"dependent_operators":["rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","rJVOvQCfKK","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1051","layer":4},{"info":"compute unary expreesion, input=1051, 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 = 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=4372","layer":4},{"info":"compute unary expreesion, input=4372, 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=1743","layer":4},{"info":"number node, value=3719","layer":4},{"info":"compute binary expreesion, left_input=1743, right_input=3719, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10924","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=10924, 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 = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"number node, value=2379","layer":4},{"info":"number node, value=5974","layer":4},{"info":"compute binary expreesion, left_input=2379, right_input=5974, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8353","layer":3},{"info":"number node, value=1429","layer":4},{"info":"number node, value=1662","layer":4},{"info":"compute binary expreesion, left_input=1429, right_input=1662, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1429","layer":3},{"info":"compute binary expreesion, left_input=8353, right_input=1429, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=1320","layer":4},{"info":"compute unary expreesion, input=1320, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2188","layer":3},{"info":"number node, value=2083","layer":4},{"info":"number node, value=3960","layer":4},{"info":"compute binary expreesion, left_input=2083, right_input=3960, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-81","layer":3},{"info":"compute binary expreesion, left_input=2188, right_input=-81, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-319589","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-319589, 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 = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⨈⫕(⨈⫕⊺⇮1051))⇷((⊺⇮4372∧)⋝⋈⪟(⊺⇮1743⨸⪁⊺⇮3719))⩷∴((⊺⇮2379+⊺⇮5974)≹⇙⪍(⊺⇮1429⨪↰⇹⊺⇮1662)⪒(∥⊫⊺⇮1320)⪄⊺⇮2083⋳⪒⊺⇮3960)=NaN","reverse_text":"NaN=(⨈⫕(⨈⫕⊺⇮1051))⇷((⊺⇮4372∧)⋝⋈⪟(⊺⇮1743⨸⪁⊺⇮3719))⩷∴((⊺⇮2379+⊺⇮5974)≹⇙⪍(⊺⇮1429⨪↰⇹⊺⇮1662)⪒(∥⊫⊺⇮1320)⪄⊺⇮2083⋳⪒⊺⇮3960)","cot":[{"info":"⨈⫕⊺⇮1051=⊺⇮-21","layer":3},{"info":"⨈⫕⊺⇮-21=⊺⇮-21","layer":2},{"info":"⊺⇮4372∧=NaN","layer":3},{"info":"⊺⇮1743⨸⪁⊺⇮3719=⊺⇮10924","layer":3},{"info":"NaN⋝⋈⪟⊺⇮10924=NaN","layer":2},{"info":"⊺⇮-21⇷NaN=NaN","layer":1},{"info":"⊺⇮2379+⊺⇮5974=⊺⇮8353","layer":3},{"info":"⊺⇮1429⨪↰⇹⊺⇮1662=⊺⇮1429","layer":3},{"info":"⊺⇮8353≹⇙⪍⊺⇮1429=NaN","layer":2},{"info":"∥⊫⊺⇮1320=⊺⇮2188","layer":3},{"info":"⊺⇮2083⋳⪒⊺⇮3960=⊺⇮-81","layer":3},{"info":"⊺⇮2188⪄⊺⇮-81=⊺⇮-319589","layer":2},{"info":"NaN⪒⊺⇮-319589=NaN","layer":1},{"info":"NaN⩷∴NaN=NaN","layer":0}]}
{"id":926,"expression_no_base_symbol":"(↔($3490$⪠⩆⊳))%$5590$*$5665$⇼⇔∾($1489$⫡⨏$3075$)⫡⨏((↔($1022$+$3764$))+(↩($3617$⋷$2781$)))","expression":"(↔(⊺⇮3490⪠⩆⊳))%⊺⇮5590*⊺⇮5665⇼⇔∾(⊺⇮1489⫡⨏⊺⇮3075)⫡⨏((↔(⊺⇮1022+⊺⇮3764))+(↩(⊺⇮3617⋷⊺⇮2781)))","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":5651,"operation_count":12,"complexity_ratio":470.9166666666667,"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":3490,"base":10}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":5590,"base":10},"right_expr":{"type":"numeric_atoms","value":5665,"base":10}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1489,"base":10},"right_expr":{"type":"numeric_atoms","value":3075,"base":10}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1022,"base":10},"right_expr":{"type":"numeric_atoms","value":3764,"base":10}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3617,"base":10},"right_expr":{"type":"numeric_atoms","value":2781,"base":10}}}}},"used_operators":["QMFrweE19q","k8jYdgA6NY","ruOEQAzv1W","JLbD19bQDL","tifHPKVTfV","9HNa5Wba9A","W4YGzv6Whe","jLgFTUHLKL","23Mk6UjR3U"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮-158294718","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3490","layer":4},{"info":"compute unary expreesion, input=3490, 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 = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=789","layer":2},{"info":"number node, value=5590","layer":4},{"info":"number node, value=5665","layer":4},{"info":"compute binary expreesion, left_input=5590, right_input=5665, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=31667350","layer":3},{"info":"number node, value=1489","layer":4},{"info":"number node, value=3075","layer":4},{"info":"compute binary expreesion, left_input=1489, right_input=3075, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=14378","layer":3},{"info":"compute binary expreesion, left_input=31667350, right_input=14378, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-31652972","layer":2},{"info":"compute binary expreesion, left_input=789, right_input=-31652972, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-31652183","layer":1},{"info":"number node, value=1022","layer":4},{"info":"number node, value=3764","layer":4},{"info":"compute binary expreesion, left_input=1022, right_input=3764, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4786","layer":3},{"info":"compute unary expreesion, input=4786, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-4513","layer":2},{"info":"number node, value=3617","layer":4},{"info":"number node, value=2781","layer":4},{"info":"compute binary expreesion, left_input=3617, right_input=2781, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1945","layer":3},{"info":"compute unary expreesion, input=1945, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-12780","layer":2},{"info":"compute binary expreesion, left_input=-4513, right_input=-12780, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-17293","layer":1},{"info":"compute binary expreesion, left_input=-31652183, right_input=-17293, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-158294718","layer":0}],"base":10,"result_base":10,"text":"(↔(⊺⇮3490⪠⩆⊳))%⊺⇮5590*⊺⇮5665⇼⇔∾(⊺⇮1489⫡⨏⊺⇮3075)⫡⨏((↔(⊺⇮1022+⊺⇮3764))+(↩(⊺⇮3617⋷⊺⇮2781)))=⊺⇮-158294718","reverse_text":"⊺⇮-158294718=(↔(⊺⇮3490⪠⩆⊳))%⊺⇮5590*⊺⇮5665⇼⇔∾(⊺⇮1489⫡⨏⊺⇮3075)⫡⨏((↔(⊺⇮1022+⊺⇮3764))+(↩(⊺⇮3617⋷⊺⇮2781)))","cot":[{"info":"⊺⇮3490⪠⩆⊳=⊺⇮0","layer":3},{"info":"↔⊺⇮0=⊺⇮789","layer":2},{"info":"⊺⇮5590*⊺⇮5665=⊺⇮31667350","layer":3},{"info":"⊺⇮1489⫡⨏⊺⇮3075=⊺⇮14378","layer":3},{"info":"⊺⇮31667350⇼⇔∾⊺⇮14378=⊺⇮-31652972","layer":2},{"info":"⊺⇮789%⊺⇮-31652972=⊺⇮-31652183","layer":1},{"info":"⊺⇮1022+⊺⇮3764=⊺⇮4786","layer":3},{"info":"↔⊺⇮4786=⊺⇮-4513","layer":2},{"info":"⊺⇮3617⋷⊺⇮2781=⊺⇮1945","layer":3},{"info":"↩⊺⇮1945=⊺⇮-12780","layer":2},{"info":"⊺⇮-4513+⊺⇮-12780=⊺⇮-17293","layer":1},{"info":"⊺⇮-31652183⫡⨏⊺⇮-17293=⊺⇮-158294718","layer":0}]}
{"id":927,"expression_no_base_symbol":"($2480$⊭↱$2413$⩨$2106$⫥∨⫟$4985$+$5260$⪢$3347$↬$3753$⪮%⊝$2757$)⩚⊴⇥(∂(+⊝⨔($1338$≭$2352$)))","expression":"(⊺⇮2480⊭↱⊺⇮2413⩨⊺⇮2106⫥∨⫟⊺⇮4985+⊺⇮5260⪢⊺⇮3347↬⊺⇮3753⪮%⊝⊺⇮2757)⩚⊴⇥(∂(+⊝⨔(⊺⇮1338≭⊺⇮2352)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4013,"operation_count":11,"complexity_ratio":364.8181818181818,"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":2480,"base":10},"right_expr":{"type":"numeric_atoms","value":2413,"base":10}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2106,"base":10},"right_expr":{"type":"numeric_atoms","value":4985,"base":10}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":5260,"base":10},"right_expr":{"type":"numeric_atoms","value":3347,"base":10}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3753,"base":10},"right_expr":{"type":"numeric_atoms","value":2757,"base":10}}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1338,"base":10},"right_expr":{"type":"numeric_atoms","value":2352,"base":10}}}}},"used_operators":["NTOWxs364D","W4YGzv6Whe","2DlMacCsIx","COABgblf1C","KYD54nUTWz","B5M0gjZbta","dWAJyo7jo9","IWmyXbctLI","Uaa54Peajs","DhbWaqg5eL","rxpJgHHUmx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rGHVDoGpnC","k8jYdgA6NY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=2480","layer":4},{"info":"number node, value=2413","layer":4},{"info":"compute binary expreesion, left_input=2480, right_input=2413, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-129","layer":3},{"info":"number node, value=2106","layer":4},{"info":"number node, value=4985","layer":4},{"info":"compute binary expreesion, left_input=2106, right_input=4985, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-129, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"number node, value=5260","layer":4},{"info":"number node, value=3347","layer":4},{"info":"compute binary expreesion, left_input=5260, right_input=3347, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=3753","layer":4},{"info":"number node, value=2757","layer":4},{"info":"compute binary expreesion, left_input=3753, right_input=2757, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=7822","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7822, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1338","layer":4},{"info":"number node, value=2352","layer":4},{"info":"compute binary expreesion, left_input=1338, right_input=2352, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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 unary expreesion, input=1522, 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 = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮2480⊭↱⊺⇮2413⩨⊺⇮2106⫥∨⫟⊺⇮4985+⊺⇮5260⪢⊺⇮3347↬⊺⇮3753⪮%⊝⊺⇮2757)⩚⊴⇥(∂(+⊝⨔(⊺⇮1338≭⊺⇮2352)))=NaN","reverse_text":"NaN=(⊺⇮2480⊭↱⊺⇮2413⩨⊺⇮2106⫥∨⫟⊺⇮4985+⊺⇮5260⪢⊺⇮3347↬⊺⇮3753⪮%⊝⊺⇮2757)⩚⊴⇥(∂(+⊝⨔(⊺⇮1338≭⊺⇮2352)))","cot":[{"info":"⊺⇮2480⊭↱⊺⇮2413=⊺⇮-129","layer":3},{"info":"⊺⇮2106⫥∨⫟⊺⇮4985=NaN","layer":3},{"info":"⊺⇮-129⩨NaN=NaN","layer":2},{"info":"⊺⇮5260⪢⊺⇮3347=NaN","layer":3},{"info":"⊺⇮3753⪮%⊝⊺⇮2757=⊺⇮7822","layer":3},{"info":"NaN↬⊺⇮7822=NaN","layer":2},{"info":"NaN+NaN=NaN","layer":1},{"info":"⊺⇮1338≭⊺⇮2352=NaN","layer":3},{"info":"+⊝⨔NaN=⊺⇮1522","layer":2},{"info":"∂⊺⇮1522=NaN","layer":1},{"info":"NaN⩚⊴⇥NaN=NaN","layer":0}]}
{"id":928,"expression_no_base_symbol":"((+⊝⨔($1090$⇷$2624$))-(⩦⩻⨪($1714$↙$3860$)))⪄((⩦⩻⨪$6370$)≣⋋)⨳⩥⨓($1073$+⇶⊼$3217$%$1275$↬$1176$)","expression":"((+⊝⨔(⊺⇮1090⇷⊺⇮2624))-(⩦⩻⨪(⊺⇮1714↙⊺⇮3860)))⪄((⩦⩻⨪⊺⇮6370)≣⋋)⨳⩥⨓(⊺⇮1073+⇶⊼⊺⇮3217%⊺⇮1275↬⊺⇮1176)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":19790,"operation_count":12,"complexity_ratio":1649.1666666666667,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1090,"base":10},"right_expr":{"type":"numeric_atoms","value":2624,"base":10}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1714,"base":10},"right_expr":{"type":"numeric_atoms","value":3860,"base":10}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":6370,"base":10}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1073,"base":10},"right_expr":{"type":"numeric_atoms","value":3217,"base":10}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1275,"base":10},"right_expr":{"type":"numeric_atoms","value":1176,"base":10}}}}},"used_operators":["SUmda5xLS4","rysDP5nf3Z","DhbWaqg5eL","mp7IySMOzn","2td37pGCOC","yyfyN0ffXY","nCS4ZIUYfx","Tcnh7f0tEr","k8jYdgA6NY","TpPTUOHfaN","B5M0gjZbta"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rysDP5nf3Z","AHs5Up7iyr","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1090","layer":4},{"info":"number node, value=2624","layer":4},{"info":"compute binary expreesion, left_input=1090, right_input=2624, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5248","layer":3},{"info":"compute unary expreesion, input=5248, 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=1714","layer":4},{"info":"number node, value=3860","layer":4},{"info":"compute binary expreesion, left_input=1714, right_input=3860, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-11580","layer":3},{"info":"compute unary expreesion, input=-11580, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-11580","layer":2},{"info":"compute binary expreesion, left_input=1522, right_input=-11580, op_id = rysDP5nf3Z binary_op_definition= 'None', output=13102","layer":1},{"info":"number node, value=6370","layer":4},{"info":"compute unary expreesion, input=6370, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=6370","layer":3},{"info":"compute unary expreesion, input=6370, 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=1073","layer":4},{"info":"number node, value=3217","layer":4},{"info":"compute binary expreesion, left_input=1073, right_input=3217, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=1275","layer":4},{"info":"number node, value=1176","layer":4},{"info":"compute binary expreesion, left_input=1275, right_input=1176, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=13102, 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":10,"result_base":10,"text":"((+⊝⨔(⊺⇮1090⇷⊺⇮2624))-(⩦⩻⨪(⊺⇮1714↙⊺⇮3860)))⪄((⩦⩻⨪⊺⇮6370)≣⋋)⨳⩥⨓(⊺⇮1073+⇶⊼⊺⇮3217%⊺⇮1275↬⊺⇮1176)=NaN","reverse_text":"NaN=((+⊝⨔(⊺⇮1090⇷⊺⇮2624))-(⩦⩻⨪(⊺⇮1714↙⊺⇮3860)))⪄((⩦⩻⨪⊺⇮6370)≣⋋)⨳⩥⨓(⊺⇮1073+⇶⊼⊺⇮3217%⊺⇮1275↬⊺⇮1176)","cot":[{"info":"⊺⇮1090⇷⊺⇮2624=⊺⇮5248","layer":3},{"info":"+⊝⨔⊺⇮5248=⊺⇮1522","layer":2},{"info":"⊺⇮1714↙⊺⇮3860=⊺⇮-11580","layer":3},{"info":"⩦⩻⨪⊺⇮-11580=⊺⇮-11580","layer":2},{"info":"⊺⇮1522-⊺⇮-11580=⊺⇮13102","layer":1},{"info":"⩦⩻⨪⊺⇮6370=⊺⇮6370","layer":3},{"info":"⊺⇮6370≣⋋=⊺⇮0","layer":2},{"info":"⊺⇮1073+⇶⊼⊺⇮3217=NaN","layer":3},{"info":"⊺⇮1275↬⊺⇮1176=NaN","layer":3},{"info":"NaN%NaN=NaN","layer":2},{"info":"⊺⇮0⨳⩥⨓NaN=NaN","layer":1},{"info":"⊺⇮13102⪄NaN=NaN","layer":0}]}
{"id":929,"expression_no_base_symbol":"≉($2550$⫥∨⫟$6508$⇼⇔∾$3836$⨽$5870$⋷($1738$⋝⋈⪟$1897$)⊴($1630$⋷$5959$))","expression":"≉(⊺⇮2550⫥∨⫟⊺⇮6508⇼⇔∾⊺⇮3836⨽⊺⇮5870⋷(⊺⇮1738⋝⋈⪟⊺⇮1897)⊴(⊺⇮1630⋷⊺⇮5959))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":14304,"operation_count":8,"complexity_ratio":1788.0,"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":2550,"base":10},"right_expr":{"type":"numeric_atoms","value":6508,"base":10}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3836,"base":10},"right_expr":{"type":"numeric_atoms","value":5870,"base":10}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1738,"base":10},"right_expr":{"type":"numeric_atoms","value":1897,"base":10}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1630,"base":10},"right_expr":{"type":"numeric_atoms","value":5959,"base":10}}}}},"used_operators":["e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","KYD54nUTWz","8HhzD0ZcuI","Nsiff2A1zJ","2DDjHMKMc0"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2550","layer":4},{"info":"number node, value=6508","layer":4},{"info":"compute binary expreesion, left_input=2550, right_input=6508, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=3836","layer":4},{"info":"number node, value=5870","layer":4},{"info":"compute binary expreesion, left_input=3836, right_input=5870, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-44160984","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-44160984, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"number node, value=1738","layer":4},{"info":"number node, value=1897","layer":4},{"info":"compute binary expreesion, left_input=1738, right_input=1897, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1738","layer":3},{"info":"number node, value=1630","layer":4},{"info":"number node, value=5959","layer":4},{"info":"compute binary expreesion, left_input=1630, right_input=5959, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=10288","layer":3},{"info":"compute binary expreesion, left_input=1738, right_input=10288, 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 = 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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"≉(⊺⇮2550⫥∨⫟⊺⇮6508⇼⇔∾⊺⇮3836⨽⊺⇮5870⋷(⊺⇮1738⋝⋈⪟⊺⇮1897)⊴(⊺⇮1630⋷⊺⇮5959))=NaN","reverse_text":"NaN=≉(⊺⇮2550⫥∨⫟⊺⇮6508⇼⇔∾⊺⇮3836⨽⊺⇮5870⋷(⊺⇮1738⋝⋈⪟⊺⇮1897)⊴(⊺⇮1630⋷⊺⇮5959))","cot":[{"info":"⊺⇮2550⫥∨⫟⊺⇮6508=NaN","layer":3},{"info":"⊺⇮3836⨽⊺⇮5870=⊺⇮-44160984","layer":3},{"info":"NaN⇼⇔∾⊺⇮-44160984=NaN","layer":2},{"info":"⊺⇮1738⋝⋈⪟⊺⇮1897=⊺⇮1738","layer":3},{"info":"⊺⇮1630⋷⊺⇮5959=⊺⇮10288","layer":3},{"info":"⊺⇮1738⊴⊺⇮10288=NaN","layer":2},{"info":"NaN⋷NaN=NaN","layer":1},{"info":"≉NaN=NaN","layer":0}]}
{"id":930,"expression_no_base_symbol":"(($5382$⨽$3876$)⪘⫢(↔$8658$)/($1961$↬$1575$)⪛($6275$⨪↰⇹$1598$))⋓(≤/(⊄⩳↩$5424$))∀⇚≩(($1058$↺$5869$)∑⇟⊟($2043$⋳⪒$4372$))","expression":"((⊺⇮5382⨽⊺⇮3876)⪘⫢(↔⊺⇮8658)/(⊺⇮1961↬⊺⇮1575)⪛(⊺⇮6275⨪↰⇹⊺⇮1598))⋓(≤/(⊄⩳↩⊺⇮5424))∀⇚≩((⊺⇮1058↺⊺⇮5869)∑⇟⊟(⊺⇮2043⋳⪒⊺⇮4372))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":469734,"operation_count":14,"complexity_ratio":33552.42857142857,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":5382,"base":10},"right_expr":{"type":"numeric_atoms","value":3876,"base":10}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":8658,"base":10}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1961,"base":10},"right_expr":{"type":"numeric_atoms","value":1575,"base":10}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":6275,"base":10},"right_expr":{"type":"numeric_atoms","value":1598,"base":10}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":5424,"base":10}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1058,"base":10},"right_expr":{"type":"numeric_atoms","value":5869,"base":10}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2043,"base":10},"right_expr":{"type":"numeric_atoms","value":4372,"base":10}}}}},"used_operators":["T2fj7uvVaJ","XhwjNDsVaA","oacrs7FA3X","8HhzD0ZcuI","ruOEQAzv1W","uFcxV4UQCh","B5M0gjZbta","tmPS8pqC7x","LRNGc0VcxI","eLAdDNolq6","8w2t5hMYqp","U7g4x0WXJJ","7j4O788W3g","12rbrZMWeM"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rGHVDoGpnC","rJVOvQCfKK","X99M06cbEe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5382","layer":4},{"info":"number node, value=3876","layer":4},{"info":"compute binary expreesion, left_input=5382, right_input=3876, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-86908086","layer":3},{"info":"number node, value=8658","layer":4},{"info":"compute unary expreesion, input=8658, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-8385","layer":3},{"info":"compute binary expreesion, left_input=-86908086, right_input=-8385, 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=1961","layer":4},{"info":"number node, value=1575","layer":4},{"info":"compute binary expreesion, left_input=1961, right_input=1575, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=6275","layer":4},{"info":"number node, value=1598","layer":4},{"info":"compute binary expreesion, left_input=6275, right_input=1598, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=6275","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6275, 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=-1, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=5424","layer":4},{"info":"compute unary expreesion, input=5424, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-16272","layer":3},{"info":"compute unary expreesion, input=-16272, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=16756","layer":2},{"info":"number node, value=1058","layer":4},{"info":"number node, value=5869","layer":4},{"info":"compute binary expreesion, left_input=1058, right_input=5869, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5869","layer":3},{"info":"number node, value=2043","layer":4},{"info":"number node, value=4372","layer":4},{"info":"compute binary expreesion, left_input=2043, right_input=4372, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-573","layer":3},{"info":"compute binary expreesion, left_input=5869, right_input=-573, 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=16756, 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=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":10,"result_base":10,"text":"((⊺⇮5382⨽⊺⇮3876)⪘⫢(↔⊺⇮8658)/(⊺⇮1961↬⊺⇮1575)⪛(⊺⇮6275⨪↰⇹⊺⇮1598))⋓(≤/(⊄⩳↩⊺⇮5424))∀⇚≩((⊺⇮1058↺⊺⇮5869)∑⇟⊟(⊺⇮2043⋳⪒⊺⇮4372))=NaN","reverse_text":"NaN=((⊺⇮5382⨽⊺⇮3876)⪘⫢(↔⊺⇮8658)/(⊺⇮1961↬⊺⇮1575)⪛(⊺⇮6275⨪↰⇹⊺⇮1598))⋓(≤/(⊄⩳↩⊺⇮5424))∀⇚≩((⊺⇮1058↺⊺⇮5869)∑⇟⊟(⊺⇮2043⋳⪒⊺⇮4372))","cot":[{"info":"⊺⇮5382⨽⊺⇮3876=⊺⇮-86908086","layer":3},{"info":"↔⊺⇮8658=⊺⇮-8385","layer":3},{"info":"⊺⇮-86908086⪘⫢⊺⇮-8385=⊺⇮-1","layer":2},{"info":"⊺⇮1961↬⊺⇮1575=NaN","layer":3},{"info":"⊺⇮6275⨪↰⇹⊺⇮1598=⊺⇮6275","layer":3},{"info":"NaN⪛⊺⇮6275=NaN","layer":2},{"info":"⊺⇮-1/NaN=NaN","layer":1},{"info":"⊄⩳↩⊺⇮5424=⊺⇮-16272","layer":3},{"info":"≤/⊺⇮-16272=⊺⇮16756","layer":2},{"info":"⊺⇮1058↺⊺⇮5869=⊺⇮5869","layer":3},{"info":"⊺⇮2043⋳⪒⊺⇮4372=⊺⇮-573","layer":3},{"info":"⊺⇮5869∑⇟⊟⊺⇮-573=NaN","layer":2},{"info":"⊺⇮16756∀⇚≩NaN=NaN","layer":1},{"info":"NaN⋓NaN=NaN","layer":0}]}
{"id":931,"expression_no_base_symbol":"(($4764$⪠⩆⊳)/(⊙↵-$1051$))⋳⪒(($2228$%$4931$)⪒(⨈⫕$2878$))⊭↱((↣≠⋷$1043$)⋷$5830$⊭↱$5241$+$6087$⨽$5431$-$2343$⪄$3941$)","expression":"((⊺⇮4764⪠⩆⊳)/(⊙↵-⊺⇮1051))⋳⪒((⊺⇮2228%⊺⇮4931)⪒(⨈⫕⊺⇮2878))⊭↱((↣≠⋷⊺⇮1043)⋷⊺⇮5830⊭↱⊺⇮5241+⊺⇮6087⨽⊺⇮5431-⊺⇮2343⪄⊺⇮3941)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7711,"operation_count":15,"complexity_ratio":514.0666666666667,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":4764,"base":10}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1051,"base":10}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2228,"base":10},"right_expr":{"type":"numeric_atoms","value":4931,"base":10}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2878,"base":10}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1043,"base":10}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":5830,"base":10},"right_expr":{"type":"numeric_atoms","value":5241,"base":10}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":6087,"base":10},"right_expr":{"type":"numeric_atoms","value":5431,"base":10}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2343,"base":10},"right_expr":{"type":"numeric_atoms","value":3941,"base":10}}}}},"used_operators":["COABgblf1C","12rbrZMWeM","XhwjNDsVaA","JLbD19bQDL","oWn0xqSxBt","f6k1SAg4EE","k8jYdgA6NY","megm06wKyl","W4YGzv6Whe","23Mk6UjR3U","Asc51vEJeQ","rysDP5nf3Z","8HhzD0ZcuI","SUmda5xLS4"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4764","layer":4},{"info":"compute unary expreesion, input=4764, 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=1051","layer":4},{"info":"compute unary expreesion, input=1051, 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 = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=2228","layer":4},{"info":"number node, value=4931","layer":4},{"info":"compute binary expreesion, left_input=2228, right_input=4931, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2228","layer":3},{"info":"number node, value=2878","layer":4},{"info":"compute unary expreesion, input=2878, 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=2228, right_input=-21, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2207","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-2207, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1920","layer":1},{"info":"number node, value=1043","layer":4},{"info":"compute unary expreesion, input=1043, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=5830","layer":4},{"info":"number node, value=5241","layer":4},{"info":"compute binary expreesion, left_input=5830, right_input=5241, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-1173","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1173, 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=6087","layer":4},{"info":"number node, value=5431","layer":4},{"info":"compute binary expreesion, left_input=6087, right_input=5431, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-111169686","layer":3},{"info":"number node, value=2343","layer":4},{"info":"number node, value=3941","layer":4},{"info":"compute binary expreesion, left_input=2343, right_input=3941, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-358617","layer":3},{"info":"compute binary expreesion, left_input=-111169686, right_input=-358617, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-110811069","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-110811069, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1920, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮4764⪠⩆⊳)/(⊙↵-⊺⇮1051))⋳⪒((⊺⇮2228%⊺⇮4931)⪒(⨈⫕⊺⇮2878))⊭↱((↣≠⋷⊺⇮1043)⋷⊺⇮5830⊭↱⊺⇮5241+⊺⇮6087⨽⊺⇮5431-⊺⇮2343⪄⊺⇮3941)=NaN","reverse_text":"NaN=((⊺⇮4764⪠⩆⊳)/(⊙↵-⊺⇮1051))⋳⪒((⊺⇮2228%⊺⇮4931)⪒(⨈⫕⊺⇮2878))⊭↱((↣≠⋷⊺⇮1043)⋷⊺⇮5830⊭↱⊺⇮5241+⊺⇮6087⨽⊺⇮5431-⊺⇮2343⪄⊺⇮3941)","cot":[{"info":"⊺⇮4764⪠⩆⊳=⊺⇮0","layer":3},{"info":"⊙↵-⊺⇮1051=⊺⇮-1","layer":3},{"info":"⊺⇮0/⊺⇮-1=⊺⇮0","layer":2},{"info":"⊺⇮2228%⊺⇮4931=⊺⇮2228","layer":3},{"info":"⨈⫕⊺⇮2878=⊺⇮-21","layer":3},{"info":"⊺⇮2228⪒⊺⇮-21=⊺⇮-2207","layer":2},{"info":"⊺⇮0⋳⪒⊺⇮-2207=⊺⇮1920","layer":1},{"info":"↣≠⋷⊺⇮1043=NaN","layer":3},{"info":"⊺⇮5830⊭↱⊺⇮5241=⊺⇮-1173","layer":3},{"info":"NaN⋷⊺⇮-1173=NaN","layer":2},{"info":"⊺⇮6087⨽⊺⇮5431=⊺⇮-111169686","layer":3},{"info":"⊺⇮2343⪄⊺⇮3941=⊺⇮-358617","layer":3},{"info":"⊺⇮-111169686-⊺⇮-358617=⊺⇮-110811069","layer":2},{"info":"NaN+⊺⇮-110811069=NaN","layer":1},{"info":"⊺⇮1920⊭↱NaN=NaN","layer":0}]}
{"id":932,"expression_no_base_symbol":"(⊄⩳↩(($4519$-$5732$)⫥∨⫟($5949$⩨$1066$)))↺(($1620$⋷$3530$)⪄$3378$⨪↰⇹$4333$⪒(($4509$⊦⊿)⨁⊸⫻))","expression":"(⊄⩳↩((⊺⇮4519-⊺⇮5732)⫥∨⫟(⊺⇮5949⩨⊺⇮1066)))↺((⊺⇮1620⋷⊺⇮3530)⪄⊺⇮3378⨪↰⇹⊺⇮4333⪒((⊺⇮4509⊦⊿)⨁⊸⫻))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3652,"operation_count":11,"complexity_ratio":332.0,"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":4519,"base":10},"right_expr":{"type":"numeric_atoms","value":5732,"base":10}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":5949,"base":10},"right_expr":{"type":"numeric_atoms","value":1066,"base":10}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1620,"base":10},"right_expr":{"type":"numeric_atoms","value":3530,"base":10}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3378,"base":10},"right_expr":{"type":"numeric_atoms","value":4333,"base":10}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":4509,"base":10}}}}},"used_operators":["7j4O788W3g","8w2t5hMYqp","KYD54nUTWz","rysDP5nf3Z","2DlMacCsIx","f6k1SAg4EE","SUmda5xLS4","23Mk6UjR3U","tmPS8pqC7x","glklzrTFfD","14qkJME0vr"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⊺⇮841933","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4519","layer":4},{"info":"number node, value=5732","layer":4},{"info":"compute binary expreesion, left_input=4519, right_input=5732, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1213","layer":3},{"info":"number node, value=5949","layer":4},{"info":"number node, value=1066","layer":4},{"info":"compute binary expreesion, left_input=5949, right_input=1066, 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=-1213, 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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":1},{"info":"number node, value=1620","layer":4},{"info":"number node, value=3530","layer":4},{"info":"compute binary expreesion, left_input=1620, right_input=3530, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=5440","layer":3},{"info":"number node, value=3378","layer":4},{"info":"number node, value=4333","layer":4},{"info":"compute binary expreesion, left_input=3378, right_input=4333, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3378","layer":3},{"info":"compute binary expreesion, left_input=5440, right_input=3378, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-814721","layer":2},{"info":"number node, value=4509","layer":4},{"info":"compute unary expreesion, input=4509, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-13606","layer":3},{"info":"compute unary expreesion, input=-13606, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=-27212","layer":2},{"info":"compute binary expreesion, left_input=-814721, right_input=-27212, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=841933","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=841933, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=841933","layer":0}],"base":10,"result_base":10,"text":"(⊄⩳↩((⊺⇮4519-⊺⇮5732)⫥∨⫟(⊺⇮5949⩨⊺⇮1066)))↺((⊺⇮1620⋷⊺⇮3530)⪄⊺⇮3378⨪↰⇹⊺⇮4333⪒((⊺⇮4509⊦⊿)⨁⊸⫻))=⊺⇮841933","reverse_text":"⊺⇮841933=(⊄⩳↩((⊺⇮4519-⊺⇮5732)⫥∨⫟(⊺⇮5949⩨⊺⇮1066)))↺((⊺⇮1620⋷⊺⇮3530)⪄⊺⇮3378⨪↰⇹⊺⇮4333⪒((⊺⇮4509⊦⊿)⨁⊸⫻))","cot":[{"info":"⊺⇮4519-⊺⇮5732=⊺⇮-1213","layer":3},{"info":"⊺⇮5949⩨⊺⇮1066=⊺⇮0","layer":3},{"info":"⊺⇮-1213⫥∨⫟⊺⇮0=NaN","layer":2},{"info":"⊄⩳↩NaN=NaN","layer":1},{"info":"⊺⇮1620⋷⊺⇮3530=⊺⇮5440","layer":3},{"info":"⊺⇮3378⨪↰⇹⊺⇮4333=⊺⇮3378","layer":3},{"info":"⊺⇮5440⪄⊺⇮3378=⊺⇮-814721","layer":2},{"info":"⊺⇮4509⊦⊿=⊺⇮-13606","layer":3},{"info":"⊺⇮-13606⨁⊸⫻=⊺⇮-27212","layer":2},{"info":"⊺⇮-814721⪒⊺⇮-27212=⊺⇮841933","layer":1},{"info":"NaN↺⊺⇮841933=⊺⇮841933","layer":0}]}
{"id":933,"expression_no_base_symbol":"(⨈⫕(+⊝⨔($7379$∀⇚≩$5929$)))∼((($1659$⋷$4548$)↺$6605$≧⫂∧$4251$)⩚⊴⇥$1212$≹⇙⪍$6194$⪢($1234$⊉≛↸$3026$))","expression":"(⨈⫕(+⊝⨔(⊺⇮7379∀⇚≩⊺⇮5929)))∼(((⊺⇮1659⋷⊺⇮4548)↺⊺⇮6605≧⫂∧⊺⇮4251)⩚⊴⇥⊺⇮1212≹⇙⪍⊺⇮6194⪢(⊺⇮1234⊉≛↸⊺⇮3026))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":54542,"operation_count":11,"complexity_ratio":4958.363636363636,"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":7379,"base":10},"right_expr":{"type":"numeric_atoms","value":5929,"base":10}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1659,"base":10},"right_expr":{"type":"numeric_atoms","value":4548,"base":10}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":6605,"base":10},"right_expr":{"type":"numeric_atoms","value":4251,"base":10}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1212,"base":10},"right_expr":{"type":"numeric_atoms","value":6194,"base":10}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1234,"base":10},"right_expr":{"type":"numeric_atoms","value":3026,"base":10}}}}},"used_operators":["DyGG3AbaNP","megm06wKyl","DhbWaqg5eL","LRNGc0VcxI","NTOWxs364D","7j4O788W3g","23Mk6UjR3U","Ph9nP6C5qx","dWAJyo7jo9","AHs5Up7iyr","DZ8iAZOCBD"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=7379","layer":4},{"info":"number node, value=5929","layer":4},{"info":"compute binary expreesion, left_input=7379, right_input=5929, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":2},{"info":"compute unary expreesion, input=1522, 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=1659","layer":4},{"info":"number node, value=4548","layer":4},{"info":"compute binary expreesion, left_input=1659, right_input=4548, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=7437","layer":3},{"info":"number node, value=6605","layer":4},{"info":"number node, value=4251","layer":4},{"info":"compute binary expreesion, left_input=6605, right_input=4251, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3778","layer":3},{"info":"compute binary expreesion, left_input=7437, right_input=3778, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3778","layer":2},{"info":"number node, value=1212","layer":4},{"info":"number node, value=6194","layer":4},{"info":"compute binary expreesion, left_input=1212, right_input=6194, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=1234","layer":4},{"info":"number node, value=3026","layer":4},{"info":"compute binary expreesion, left_input=1234, right_input=3026, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2468","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2468, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=3778, right_input=nan, 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 = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⨈⫕(+⊝⨔(⊺⇮7379∀⇚≩⊺⇮5929)))∼(((⊺⇮1659⋷⊺⇮4548)↺⊺⇮6605≧⫂∧⊺⇮4251)⩚⊴⇥⊺⇮1212≹⇙⪍⊺⇮6194⪢(⊺⇮1234⊉≛↸⊺⇮3026))=NaN","reverse_text":"NaN=(⨈⫕(+⊝⨔(⊺⇮7379∀⇚≩⊺⇮5929)))∼(((⊺⇮1659⋷⊺⇮4548)↺⊺⇮6605≧⫂∧⊺⇮4251)⩚⊴⇥⊺⇮1212≹⇙⪍⊺⇮6194⪢(⊺⇮1234⊉≛↸⊺⇮3026))","cot":[{"info":"⊺⇮7379∀⇚≩⊺⇮5929=NaN","layer":3},{"info":"+⊝⨔NaN=⊺⇮1522","layer":2},{"info":"⨈⫕⊺⇮1522=⊺⇮-21","layer":1},{"info":"⊺⇮1659⋷⊺⇮4548=⊺⇮7437","layer":3},{"info":"⊺⇮6605≧⫂∧⊺⇮4251=⊺⇮3778","layer":3},{"info":"⊺⇮7437↺⊺⇮3778=⊺⇮3778","layer":2},{"info":"⊺⇮1212≹⇙⪍⊺⇮6194=NaN","layer":3},{"info":"⊺⇮1234⊉≛↸⊺⇮3026=⊺⇮2468","layer":3},{"info":"NaN⪢⊺⇮2468=NaN","layer":2},{"info":"⊺⇮3778⩚⊴⇥NaN=NaN","layer":1},{"info":"⊺⇮-21∼NaN=NaN","layer":0}]}
{"id":934,"expression_no_base_symbol":"(($3329$/$1127$)⫥∨⫟($3145$⨐⩸⫘$1605$)↪⪝)⨽$5239$⪮%⊝$1552$⨰($1024$⪨≂$3109$)⨰(($1935$⨽$2119$)⫥∨⫟($3155$⋳⪒$3204$))","expression":"((⊺⇮3329/⊺⇮1127)⫥∨⫟(⊺⇮3145⨐⩸⫘⊺⇮1605)↪⪝)⨽⊺⇮5239⪮%⊝⊺⇮1552⨰(⊺⇮1024⪨≂⊺⇮3109)⨰((⊺⇮1935⨽⊺⇮2119)⫥∨⫟(⊺⇮3155⋳⪒⊺⇮3204))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2303,"operation_count":12,"complexity_ratio":191.91666666666666,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3329,"base":10},"right_expr":{"type":"numeric_atoms","value":1127,"base":10}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3145,"base":10},"right_expr":{"type":"numeric_atoms","value":1605,"base":10}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":5239,"base":10},"right_expr":{"type":"numeric_atoms","value":1552,"base":10}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1024,"base":10},"right_expr":{"type":"numeric_atoms","value":3109,"base":10}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1935,"base":10},"right_expr":{"type":"numeric_atoms","value":2119,"base":10}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3155,"base":10},"right_expr":{"type":"numeric_atoms","value":3204,"base":10}}}}},"used_operators":["8HhzD0ZcuI","l07mrZUIn9","KYD54nUTWz","XhwjNDsVaA","fu6greOZ01","eewbuw0ToL","IWmyXbctLI","sdazOOVcIp","12rbrZMWeM"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9HNa5Wba9A","2DDjHMKMc0","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3329","layer":4},{"info":"number node, value=1127","layer":4},{"info":"compute binary expreesion, left_input=3329, right_input=1127, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"number node, value=3145","layer":4},{"info":"number node, value=1605","layer":4},{"info":"compute binary expreesion, left_input=3145, right_input=1605, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=2, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽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=5239","layer":4},{"info":"number node, value=1552","layer":4},{"info":"compute binary expreesion, left_input=5239, right_input=1552, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=10794","layer":3},{"info":"number node, value=1024","layer":4},{"info":"number node, value=3109","layer":4},{"info":"compute binary expreesion, left_input=1024, right_input=3109, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-4068","layer":3},{"info":"compute binary expreesion, left_input=10794, right_input=-4068, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=14872","layer":2},{"info":"number node, value=1935","layer":4},{"info":"number node, value=2119","layer":4},{"info":"compute binary expreesion, left_input=1935, right_input=2119, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-11237718","layer":3},{"info":"number node, value=3155","layer":4},{"info":"number node, value=3204","layer":4},{"info":"compute binary expreesion, left_input=3155, right_input=3204, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2819","layer":3},{"info":"compute binary expreesion, left_input=-11237718, right_input=2819, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=14872, 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 = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮3329/⊺⇮1127)⫥∨⫟(⊺⇮3145⨐⩸⫘⊺⇮1605)↪⪝)⨽⊺⇮5239⪮%⊝⊺⇮1552⨰(⊺⇮1024⪨≂⊺⇮3109)⨰((⊺⇮1935⨽⊺⇮2119)⫥∨⫟(⊺⇮3155⋳⪒⊺⇮3204))=NaN","reverse_text":"NaN=((⊺⇮3329/⊺⇮1127)⫥∨⫟(⊺⇮3145⨐⩸⫘⊺⇮1605)↪⪝)⨽⊺⇮5239⪮%⊝⊺⇮1552⨰(⊺⇮1024⪨≂⊺⇮3109)⨰((⊺⇮1935⨽⊺⇮2119)⫥∨⫟(⊺⇮3155⋳⪒⊺⇮3204))","cot":[{"info":"⊺⇮3329/⊺⇮1127=⊺⇮2","layer":3},{"info":"⊺⇮3145⨐⩸⫘⊺⇮1605=NaN","layer":3},{"info":"⊺⇮2⫥∨⫟NaN=NaN","layer":2},{"info":"NaN↪⪝=NaN","layer":1},{"info":"⊺⇮5239⪮%⊝⊺⇮1552=⊺⇮10794","layer":3},{"info":"⊺⇮1024⪨≂⊺⇮3109=⊺⇮-4068","layer":3},{"info":"⊺⇮10794⨰⊺⇮-4068=⊺⇮14872","layer":2},{"info":"⊺⇮1935⨽⊺⇮2119=⊺⇮-11237718","layer":3},{"info":"⊺⇮3155⋳⪒⊺⇮3204=⊺⇮2819","layer":3},{"info":"⊺⇮-11237718⫥∨⫟⊺⇮2819=NaN","layer":2},{"info":"⊺⇮14872⨰NaN=NaN","layer":1},{"info":"NaN⨽NaN=NaN","layer":0}]}
{"id":935,"expression_no_base_symbol":"(∥⊫($1165$∲⫓$1209$)⨪↰⇹(≦∁$3409$))⨓(∂((-$4261$)⋓($1263$⫌⩹⨱)))","expression":"(∥⊫(⊺⇮1165∲⫓⊺⇮1209)⨪↰⇹(≦∁⊺⇮3409))⨓(∂((-⊺⇮4261)⋓(⊺⇮1263⫌⩹⨱)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":716,"operation_count":9,"complexity_ratio":79.55555555555556,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1165,"base":10},"right_expr":{"type":"numeric_atoms","value":1209,"base":10}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":3409,"base":10}}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":4261,"base":10}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1263,"base":10}}}}},"used_operators":["3ViojmjbAp","P8v4zCKN1o","tmPS8pqC7x","i8ToyICDmI","9ICcGScMcE","Uaa54Peajs","T2fj7uvVaJ","t8gj7n24qd","EBcxylXtPf"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z"],"result":"⊺⇮261","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1165","layer":4},{"info":"number node, value=1209","layer":4},{"info":"compute binary expreesion, left_input=1165, right_input=1209, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=3409","layer":4},{"info":"compute unary expreesion, input=3409, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3409","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3409, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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 = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=868","layer":1},{"info":"number node, value=4261","layer":4},{"info":"compute unary expreesion, input=4261, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-4261","layer":3},{"info":"number node, value=1263","layer":4},{"info":"compute unary expreesion, input=1263, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=3927","layer":3},{"info":"compute binary expreesion, left_input=-4261, right_input=3927, op_id = T2fj7uvVaJ binary_op_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 = 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=868, right_input=-264, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=261","layer":0}],"base":10,"result_base":10,"text":"(∥⊫(⊺⇮1165∲⫓⊺⇮1209)⨪↰⇹(≦∁⊺⇮3409))⨓(∂((-⊺⇮4261)⋓(⊺⇮1263⫌⩹⨱)))=⊺⇮261","reverse_text":"⊺⇮261=(∥⊫(⊺⇮1165∲⫓⊺⇮1209)⨪↰⇹(≦∁⊺⇮3409))⨓(∂((-⊺⇮4261)⋓(⊺⇮1263⫌⩹⨱)))","cot":[{"info":"⊺⇮1165∲⫓⊺⇮1209=⊺⇮0","layer":3},{"info":"≦∁⊺⇮3409=⊺⇮3409","layer":3},{"info":"⊺⇮0⨪↰⇹⊺⇮3409=⊺⇮0","layer":2},{"info":"∥⊫⊺⇮0=⊺⇮868","layer":1},{"info":"-⊺⇮4261=⊺⇮-4261","layer":3},{"info":"⊺⇮1263⫌⩹⨱=⊺⇮3927","layer":3},{"info":"⊺⇮-4261⋓⊺⇮3927=⊺⇮0","layer":2},{"info":"∂⊺⇮0=⊺⇮-264","layer":1},{"info":"⊺⇮868⨓⊺⇮-264=⊺⇮261","layer":0}]}
{"id":936,"expression_no_base_symbol":"((∥⊫($1567$⊭↱$2782$))⊉≛↸(⫓⪴$1106$⪘⫢$1867$))⨓(⪝⪂⫅(⨈⫕$1689$⪢$4690$))","expression":"((∥⊫(⊺⇮1567⊭↱⊺⇮2782))⊉≛↸(⫓⪴⊺⇮1106⪘⫢⊺⇮1867))⨓(⪝⪂⫅(⨈⫕⊺⇮1689⪢⊺⇮4690))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":10308,"operation_count":9,"complexity_ratio":1145.3333333333333,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1567,"base":10},"right_expr":{"type":"numeric_atoms","value":2782,"base":10}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1106,"base":10},"right_expr":{"type":"numeric_atoms","value":1867,"base":10}}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1689,"base":10},"right_expr":{"type":"numeric_atoms","value":4690,"base":10}}}}},"used_operators":["3ViojmjbAp","DZ8iAZOCBD","P8v4zCKN1o","COABgblf1C","eLxqMNBOBk","oacrs7FA3X","XTarYq4gQB","megm06wKyl","dWAJyo7jo9"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9HNa5Wba9A","8w2t5hMYqp","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","k8jYdgA6NY"],"result":"⊺⇮-3090","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1567","layer":4},{"info":"number node, value=2782","layer":4},{"info":"compute binary expreesion, left_input=1567, right_input=2782, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=2435","layer":3},{"info":"compute unary expreesion, input=2435, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3303","layer":2},{"info":"number node, value=1106","layer":4},{"info":"number node, value=1867","layer":4},{"info":"compute binary expreesion, left_input=1106, right_input=1867, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2088","layer":3},{"info":"compute unary expreesion, input=2088, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=4359744","layer":2},{"info":"compute binary expreesion, left_input=3303, right_input=4359744, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6606","layer":1},{"info":"number node, value=1689","layer":4},{"info":"number node, value=4690","layer":4},{"info":"compute binary expreesion, left_input=1689, right_input=4690, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = 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 = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=3087","layer":1},{"info":"compute binary expreesion, left_input=6606, right_input=3087, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3090","layer":0}],"base":10,"result_base":10,"text":"((∥⊫(⊺⇮1567⊭↱⊺⇮2782))⊉≛↸(⫓⪴⊺⇮1106⪘⫢⊺⇮1867))⨓(⪝⪂⫅(⨈⫕⊺⇮1689⪢⊺⇮4690))=⊺⇮-3090","reverse_text":"⊺⇮-3090=((∥⊫(⊺⇮1567⊭↱⊺⇮2782))⊉≛↸(⫓⪴⊺⇮1106⪘⫢⊺⇮1867))⨓(⪝⪂⫅(⨈⫕⊺⇮1689⪢⊺⇮4690))","cot":[{"info":"⊺⇮1567⊭↱⊺⇮2782=⊺⇮2435","layer":3},{"info":"∥⊫⊺⇮2435=⊺⇮3303","layer":2},{"info":"⊺⇮1106⪘⫢⊺⇮1867=⊺⇮2088","layer":3},{"info":"⫓⪴⊺⇮2088=⊺⇮4359744","layer":2},{"info":"⊺⇮3303⊉≛↸⊺⇮4359744=⊺⇮6606","layer":1},{"info":"⊺⇮1689⪢⊺⇮4690=NaN","layer":3},{"info":"⨈⫕NaN=⊺⇮-21","layer":2},{"info":"⪝⪂⫅⊺⇮-21=⊺⇮3087","layer":1},{"info":"⊺⇮6606⨓⊺⇮3087=⊺⇮-3090","layer":0}]}
{"id":937,"expression_no_base_symbol":"↔((($1932$-$1035$)⪮%⊝(⋗⩬⋾$2668$))⪮%⊝(⊄⩳↩($4338$↺$1048$)))","expression":"↔(((⊺⇮1932-⊺⇮1035)⪮%⊝(⋗⩬⋾⊺⇮2668))⪮%⊝(⊄⩳↩(⊺⇮4338↺⊺⇮1048)))","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":34,"operation_count":7,"complexity_ratio":4.857142857142857,"tree":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1932,"base":10},"right_expr":{"type":"numeric_atoms","value":1035,"base":10}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":2668,"base":10}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":4338,"base":10},"right_expr":{"type":"numeric_atoms","value":1048,"base":10}}}}},"used_operators":["ruOEQAzv1W","IWmyXbctLI","rysDP5nf3Z","DpFCA1CohY","8w2t5hMYqp","7j4O788W3g"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⊺⇮-4263","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1932","layer":4},{"info":"number node, value=1035","layer":4},{"info":"compute binary expreesion, left_input=1932, right_input=1035, op_id = rysDP5nf3Z binary_op_definition= 'None', output=897","layer":3},{"info":"number node, value=2668","layer":4},{"info":"compute unary expreesion, input=2668, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-8004","layer":3},{"info":"compute binary expreesion, left_input=897, right_input=-8004, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2110","layer":2},{"info":"number node, value=4338","layer":4},{"info":"number node, value=1048","layer":4},{"info":"compute binary expreesion, left_input=4338, right_input=1048, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1048","layer":3},{"info":"compute unary expreesion, input=1048, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3144","layer":2},{"info":"compute binary expreesion, left_input=2110, right_input=-3144, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4536","layer":1},{"info":"compute unary expreesion, input=4536, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-4263","layer":0}],"base":10,"result_base":10,"text":"↔(((⊺⇮1932-⊺⇮1035)⪮%⊝(⋗⩬⋾⊺⇮2668))⪮%⊝(⊄⩳↩(⊺⇮4338↺⊺⇮1048)))=⊺⇮-4263","reverse_text":"⊺⇮-4263=↔(((⊺⇮1932-⊺⇮1035)⪮%⊝(⋗⩬⋾⊺⇮2668))⪮%⊝(⊄⩳↩(⊺⇮4338↺⊺⇮1048)))","cot":[{"info":"⊺⇮1932-⊺⇮1035=⊺⇮897","layer":3},{"info":"⋗⩬⋾⊺⇮2668=⊺⇮-8004","layer":3},{"info":"⊺⇮897⪮%⊝⊺⇮-8004=⊺⇮2110","layer":2},{"info":"⊺⇮4338↺⊺⇮1048=⊺⇮1048","layer":3},{"info":"⊄⩳↩⊺⇮1048=⊺⇮-3144","layer":2},{"info":"⊺⇮2110⪮%⊝⊺⇮-3144=⊺⇮4536","layer":1},{"info":"↔⊺⇮4536=⊺⇮-4263","layer":0}]}
{"id":938,"expression_no_base_symbol":"⫓⪴((⊙↵-($1605$⨳⩥⨓$4515$))⇼⇔∾($1755$⨎$3644$)≭$4380$∀⇚≩$7376$)","expression":"⫓⪴((⊙↵-(⊺⇮1605⨳⩥⨓⊺⇮4515))⇼⇔∾(⊺⇮1755⨎⊺⇮3644)≭⊺⇮4380∀⇚≩⊺⇮7376)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":33624,"operation_count":7,"complexity_ratio":4803.428571428572,"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":1605,"base":10},"right_expr":{"type":"numeric_atoms","value":4515,"base":10}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1755,"base":10},"right_expr":{"type":"numeric_atoms","value":3644,"base":10}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4380,"base":10},"right_expr":{"type":"numeric_atoms","value":7376,"base":10}}}}},"used_operators":["eLxqMNBOBk","tifHPKVTfV","oWn0xqSxBt","nCS4ZIUYfx","rxpJgHHUmx","rJVOvQCfKK","LRNGc0VcxI"],"dependent_operators":["9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=1605","layer":4},{"info":"number node, value=4515","layer":4},{"info":"compute binary expreesion, left_input=1605, right_input=4515, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2910","layer":3},{"info":"compute unary expreesion, input=2910, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":2},{"info":"number node, value=1755","layer":4},{"info":"number node, value=3644","layer":4},{"info":"compute binary expreesion, left_input=1755, right_input=3644, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3644","layer":3},{"info":"number node, value=4380","layer":4},{"info":"number node, value=7376","layer":4},{"info":"compute binary expreesion, left_input=4380, right_input=7376, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=3644, 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=-1, 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 = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⫓⪴((⊙↵-(⊺⇮1605⨳⩥⨓⊺⇮4515))⇼⇔∾(⊺⇮1755⨎⊺⇮3644)≭⊺⇮4380∀⇚≩⊺⇮7376)=NaN","reverse_text":"NaN=⫓⪴((⊙↵-(⊺⇮1605⨳⩥⨓⊺⇮4515))⇼⇔∾(⊺⇮1755⨎⊺⇮3644)≭⊺⇮4380∀⇚≩⊺⇮7376)","cot":[{"info":"⊺⇮1605⨳⩥⨓⊺⇮4515=⊺⇮2910","layer":3},{"info":"⊙↵-⊺⇮2910=⊺⇮-1","layer":2},{"info":"⊺⇮1755⨎⊺⇮3644=⊺⇮3644","layer":3},{"info":"⊺⇮4380∀⇚≩⊺⇮7376=NaN","layer":3},{"info":"⊺⇮3644≭NaN=NaN","layer":2},{"info":"⊺⇮-1⇼⇔∾NaN=NaN","layer":1},{"info":"⫓⪴NaN=NaN","layer":0}]}
{"id":939,"expression_no_base_symbol":"(($6712$-$1523$)-$2230$⊉≛↸$2395$)≹⇙⪍($1529$⨎$2948$⨎($3035$*$4200$))⨐⩸⫘(≦∁(∥⊫$1680$⨰$1444$))","expression":"((⊺⇮6712-⊺⇮1523)-⊺⇮2230⊉≛↸⊺⇮2395)≹⇙⪍(⊺⇮1529⨎⊺⇮2948⨎(⊺⇮3035*⊺⇮4200))⨐⩸⫘(≦∁(∥⊫⊺⇮1680⨰⊺⇮1444))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3054,"operation_count":11,"complexity_ratio":277.6363636363636,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":6712,"base":10},"right_expr":{"type":"numeric_atoms","value":1523,"base":10}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2230,"base":10},"right_expr":{"type":"numeric_atoms","value":2395,"base":10}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1529,"base":10},"right_expr":{"type":"numeric_atoms","value":2948,"base":10}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3035,"base":10},"right_expr":{"type":"numeric_atoms","value":4200,"base":10}}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1680,"base":10},"right_expr":{"type":"numeric_atoms","value":1444,"base":10}}}}},"used_operators":["fu6greOZ01","AHs5Up7iyr","rysDP5nf3Z","DZ8iAZOCBD","rJVOvQCfKK","9HNa5Wba9A","9ICcGScMcE","P8v4zCKN1o","eewbuw0ToL"],"dependent_operators":["3ViojmjbAp","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6712","layer":4},{"info":"number node, value=1523","layer":4},{"info":"compute binary expreesion, left_input=6712, right_input=1523, op_id = rysDP5nf3Z binary_op_definition= 'None', output=5189","layer":3},{"info":"number node, value=2230","layer":4},{"info":"number node, value=2395","layer":4},{"info":"compute binary expreesion, left_input=2230, right_input=2395, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4460","layer":3},{"info":"compute binary expreesion, left_input=5189, right_input=4460, op_id = rysDP5nf3Z binary_op_definition= 'None', output=729","layer":2},{"info":"number node, value=1529","layer":4},{"info":"number node, value=2948","layer":4},{"info":"compute binary expreesion, left_input=1529, right_input=2948, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2948","layer":3},{"info":"number node, value=3035","layer":4},{"info":"number node, value=4200","layer":4},{"info":"compute binary expreesion, left_input=3035, right_input=4200, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=12747000","layer":3},{"info":"compute binary expreesion, left_input=2948, right_input=12747000, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=12747000","layer":2},{"info":"compute binary expreesion, left_input=729, right_input=12747000, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=1680","layer":4},{"info":"number node, value=1444","layer":4},{"info":"compute binary expreesion, left_input=1680, right_input=1444, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=246","layer":3},{"info":"compute unary expreesion, input=246, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=1114","layer":2},{"info":"compute unary expreesion, input=1114, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1114","layer":1},{"info":"compute binary expreesion, left_input=nan, 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":0}],"base":10,"result_base":10,"text":"((⊺⇮6712-⊺⇮1523)-⊺⇮2230⊉≛↸⊺⇮2395)≹⇙⪍(⊺⇮1529⨎⊺⇮2948⨎(⊺⇮3035*⊺⇮4200))⨐⩸⫘(≦∁(∥⊫⊺⇮1680⨰⊺⇮1444))=NaN","reverse_text":"NaN=((⊺⇮6712-⊺⇮1523)-⊺⇮2230⊉≛↸⊺⇮2395)≹⇙⪍(⊺⇮1529⨎⊺⇮2948⨎(⊺⇮3035*⊺⇮4200))⨐⩸⫘(≦∁(∥⊫⊺⇮1680⨰⊺⇮1444))","cot":[{"info":"⊺⇮6712-⊺⇮1523=⊺⇮5189","layer":3},{"info":"⊺⇮2230⊉≛↸⊺⇮2395=⊺⇮4460","layer":3},{"info":"⊺⇮5189-⊺⇮4460=⊺⇮729","layer":2},{"info":"⊺⇮1529⨎⊺⇮2948=⊺⇮2948","layer":3},{"info":"⊺⇮3035*⊺⇮4200=⊺⇮12747000","layer":3},{"info":"⊺⇮2948⨎⊺⇮12747000=⊺⇮12747000","layer":2},{"info":"⊺⇮729≹⇙⪍⊺⇮12747000=NaN","layer":1},{"info":"⊺⇮1680⨰⊺⇮1444=⊺⇮246","layer":3},{"info":"∥⊫⊺⇮246=⊺⇮1114","layer":2},{"info":"≦∁⊺⇮1114=⊺⇮1114","layer":1},{"info":"NaN⨐⩸⫘⊺⇮1114=NaN","layer":0}]}
{"id":940,"expression_no_base_symbol":"($3453$+⇶⊼$3156$⪠⩆⊳)⨎((≤/$2512$)≋⫹)⨎((↽≂$1004$⫥∨⫟$3144$)≋⫹)","expression":"(⊺⇮3453+⇶⊼⊺⇮3156⪠⩆⊳)⨎((≤/⊺⇮2512)≋⫹)⨎((↽≂⊺⇮1004⫥∨⫟⊺⇮3144)≋⫹)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":173,"operation_count":9,"complexity_ratio":19.22222222222222,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3453,"base":10},"right_expr":{"type":"numeric_atoms","value":3156,"base":10}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2512,"base":10}}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1004,"base":10},"right_expr":{"type":"numeric_atoms","value":3144,"base":10}}}}},"used_operators":["rJVOvQCfKK","JLbD19bQDL","TpPTUOHfaN","N41Kp7NANJ","eLAdDNolq6","u6S6b8DprG","KYD54nUTWz"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3453","layer":4},{"info":"number node, value=3156","layer":4},{"info":"compute binary expreesion, left_input=3453, right_input=3156, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=2512","layer":4},{"info":"compute unary expreesion, input=2512, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2028","layer":3},{"info":"compute unary expreesion, input=-2028, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=4056","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4056, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4056","layer":1},{"info":"number node, value=1004","layer":4},{"info":"number node, value=3144","layer":4},{"info":"compute binary expreesion, left_input=1004, right_input=3144, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', 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 = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=4056, 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":10,"result_base":10,"text":"(⊺⇮3453+⇶⊼⊺⇮3156⪠⩆⊳)⨎((≤/⊺⇮2512)≋⫹)⨎((↽≂⊺⇮1004⫥∨⫟⊺⇮3144)≋⫹)=NaN","reverse_text":"NaN=(⊺⇮3453+⇶⊼⊺⇮3156⪠⩆⊳)⨎((≤/⊺⇮2512)≋⫹)⨎((↽≂⊺⇮1004⫥∨⫟⊺⇮3144)≋⫹)","cot":[{"info":"⊺⇮3453+⇶⊼⊺⇮3156=NaN","layer":3},{"info":"NaN⪠⩆⊳=NaN","layer":2},{"info":"≤/⊺⇮2512=⊺⇮-2028","layer":3},{"info":"⊺⇮-2028≋⫹=⊺⇮4056","layer":2},{"info":"NaN⨎⊺⇮4056=⊺⇮4056","layer":1},{"info":"⊺⇮1004⫥∨⫟⊺⇮3144=NaN","layer":3},{"info":"↽≂NaN=NaN","layer":2},{"info":"NaN≋⫹=NaN","layer":1},{"info":"⊺⇮4056⨎NaN=NaN","layer":0}]}
{"id":941,"expression_no_base_symbol":"($1666$⪒$5660$)⨰($1218$⨳⩥⨓$1425$)⋥≓≎(⇁⨣⪵$1864$⨎$1365$)⨳⩥⨓(($4922$⋓$2248$+$2323$⪮%⊝$5904$)⫸⊐($1129$⋷$6860$)≎⊠⪸(⊄⩳↩$1420$))","expression":"(⊺⇮1666⪒⊺⇮5660)⨰(⊺⇮1218⨳⩥⨓⊺⇮1425)⋥≓≎(⇁⨣⪵⊺⇮1864⨎⊺⇮1365)⨳⩥⨓((⊺⇮4922⋓⊺⇮2248+⊺⇮2323⪮%⊝⊺⇮5904)⫸⊐(⊺⇮1129⋷⊺⇮6860)≎⊠⪸(⊄⩳↩⊺⇮1420))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":83,"operation_count":14,"complexity_ratio":5.928571428571429,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1666,"base":10},"right_expr":{"type":"numeric_atoms","value":5660,"base":10}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1218,"base":10},"right_expr":{"type":"numeric_atoms","value":1425,"base":10}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1864,"base":10},"right_expr":{"type":"numeric_atoms","value":1365,"base":10}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4922,"base":10},"right_expr":{"type":"numeric_atoms","value":2248,"base":10}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2323,"base":10},"right_expr":{"type":"numeric_atoms","value":5904,"base":10}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1129,"base":10},"right_expr":{"type":"numeric_atoms","value":6860,"base":10}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1420,"base":10}}}}},"used_operators":["nCS4ZIUYfx","Qy55tPpLXF","eewbuw0ToL","f6k1SAg4EE","inkyxCbjAn","rJVOvQCfKK","mqXw5SEYmG","W4YGzv6Whe","T2fj7uvVaJ","IWmyXbctLI","bJkvcejdHO","23Mk6UjR3U","8w2t5hMYqp"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮76","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1666","layer":4},{"info":"number node, value=5660","layer":4},{"info":"compute binary expreesion, left_input=1666, right_input=5660, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7326","layer":3},{"info":"number node, value=1218","layer":4},{"info":"number node, value=1425","layer":4},{"info":"compute binary expreesion, left_input=1218, right_input=1425, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=207","layer":3},{"info":"compute binary expreesion, left_input=-7326, right_input=207, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-7523","layer":2},{"info":"number node, value=1864","layer":4},{"info":"number node, value=1365","layer":4},{"info":"compute binary expreesion, left_input=1864, right_input=1365, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1365","layer":3},{"info":"compute unary expreesion, input=1365, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-7523, 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=4922","layer":4},{"info":"number node, value=2248","layer":4},{"info":"compute binary expreesion, left_input=4922, right_input=2248, op_id = T2fj7uvVaJ binary_op_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=2323","layer":4},{"info":"number node, value=5904","layer":4},{"info":"compute binary expreesion, left_input=2323, right_input=5904, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4962","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4962, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4962","layer":2},{"info":"number node, value=1129","layer":4},{"info":"number node, value=6860","layer":4},{"info":"compute binary expreesion, left_input=1129, right_input=6860, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=12591","layer":3},{"info":"number node, value=1420","layer":4},{"info":"compute unary expreesion, input=1420, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-4260","layer":3},{"info":"compute binary expreesion, left_input=12591, right_input=-4260, 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=4962, 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=143","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=143, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=76","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1666⪒⊺⇮5660)⨰(⊺⇮1218⨳⩥⨓⊺⇮1425)⋥≓≎(⇁⨣⪵⊺⇮1864⨎⊺⇮1365)⨳⩥⨓((⊺⇮4922⋓⊺⇮2248+⊺⇮2323⪮%⊝⊺⇮5904)⫸⊐(⊺⇮1129⋷⊺⇮6860)≎⊠⪸(⊄⩳↩⊺⇮1420))=⊺⇮76","reverse_text":"⊺⇮76=(⊺⇮1666⪒⊺⇮5660)⨰(⊺⇮1218⨳⩥⨓⊺⇮1425)⋥≓≎(⇁⨣⪵⊺⇮1864⨎⊺⇮1365)⨳⩥⨓((⊺⇮4922⋓⊺⇮2248+⊺⇮2323⪮%⊝⊺⇮5904)⫸⊐(⊺⇮1129⋷⊺⇮6860)≎⊠⪸(⊄⩳↩⊺⇮1420))","cot":[{"info":"⊺⇮1666⪒⊺⇮5660=⊺⇮-7326","layer":3},{"info":"⊺⇮1218⨳⩥⨓⊺⇮1425=⊺⇮207","layer":3},{"info":"⊺⇮-7326⨰⊺⇮207=⊺⇮-7523","layer":2},{"info":"⊺⇮1864⨎⊺⇮1365=⊺⇮1365","layer":3},{"info":"⇁⨣⪵⊺⇮1365=NaN","layer":2},{"info":"⊺⇮-7523⋥≓≎NaN=⊺⇮67","layer":1},{"info":"⊺⇮4922⋓⊺⇮2248=⊺⇮0","layer":3},{"info":"⊺⇮2323⪮%⊝⊺⇮5904=⊺⇮4962","layer":3},{"info":"⊺⇮0+⊺⇮4962=⊺⇮4962","layer":2},{"info":"⊺⇮1129⋷⊺⇮6860=⊺⇮12591","layer":3},{"info":"⊄⩳↩⊺⇮1420=⊺⇮-4260","layer":3},{"info":"⊺⇮12591≎⊠⪸⊺⇮-4260=⊺⇮67","layer":2},{"info":"⊺⇮4962⫸⊐⊺⇮67=⊺⇮143","layer":1},{"info":"⊺⇮67⨳⩥⨓⊺⇮143=⊺⇮76","layer":0}]}
{"id":942,"expression_no_base_symbol":"((↯⪼$1468$)∀⇚≩($3983$⫸⊐$6102$))≹⇙⪍((⨑⩽⪐$3952$)∸)⋓(⫛⫱⨽(($3005$⊭∹↮)⋷($3035$⊠≄⫣)))","expression":"((↯⪼⊺⇮1468)∀⇚≩(⊺⇮3983⫸⊐⊺⇮6102))≹⇙⪍((⨑⩽⪐⊺⇮3952)∸)⋓(⫛⫱⨽((⊺⇮3005⊭∹↮)⋷(⊺⇮3035⊠≄⫣)))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":33159,"operation_count":11,"complexity_ratio":3014.4545454545455,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1468,"base":10}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3983,"base":10},"right_expr":{"type":"numeric_atoms","value":6102,"base":10}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":3952,"base":10}}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":3005,"base":10}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":3035,"base":10}}}}},"used_operators":["T2fj7uvVaJ","AHs5Up7iyr","LRNGc0VcxI","8jW3W4yZS5","mqXw5SEYmG","o20kRiQErp","AF7qkfDlqP","DlLNRPXxWL","23Mk6UjR3U","xNBdhnnwKq","DIvbN7qnHd"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","dWAJyo7jo9","X99M06cbEe","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1468","layer":4},{"info":"compute unary expreesion, input=1468, 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=3983","layer":4},{"info":"number node, value=6102","layer":4},{"info":"compute binary expreesion, left_input=3983, right_input=6102, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=24283","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=24283, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=3952","layer":4},{"info":"compute unary expreesion, input=3952, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-3679","layer":3},{"info":"compute unary expreesion, input=-3679, 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 = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=3005","layer":4},{"info":"compute unary expreesion, input=3005, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=6010","layer":3},{"info":"number node, value=3035","layer":4},{"info":"compute unary expreesion, input=3035, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=6010, right_input=0, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-6010","layer":2},{"info":"compute unary expreesion, input=-6010, 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 = T2fj7uvVaJ binary_op_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":10,"result_base":10,"text":"((↯⪼⊺⇮1468)∀⇚≩(⊺⇮3983⫸⊐⊺⇮6102))≹⇙⪍((⨑⩽⪐⊺⇮3952)∸)⋓(⫛⫱⨽((⊺⇮3005⊭∹↮)⋷(⊺⇮3035⊠≄⫣)))=⊺⇮0","reverse_text":"⊺⇮0=((↯⪼⊺⇮1468)∀⇚≩(⊺⇮3983⫸⊐⊺⇮6102))≹⇙⪍((⨑⩽⪐⊺⇮3952)∸)⋓(⫛⫱⨽((⊺⇮3005⊭∹↮)⋷(⊺⇮3035⊠≄⫣)))","cot":[{"info":"↯⪼⊺⇮1468=⊺⇮-21","layer":3},{"info":"⊺⇮3983⫸⊐⊺⇮6102=⊺⇮24283","layer":3},{"info":"⊺⇮-21∀⇚≩⊺⇮24283=NaN","layer":2},{"info":"⨑⩽⪐⊺⇮3952=⊺⇮-3679","layer":3},{"info":"⊺⇮-3679∸=⊺⇮177","layer":2},{"info":"NaN≹⇙⪍⊺⇮177=NaN","layer":1},{"info":"⊺⇮3005⊭∹↮=⊺⇮6010","layer":3},{"info":"⊺⇮3035⊠≄⫣=⊺⇮0","layer":3},{"info":"⊺⇮6010⋷⊺⇮0=⊺⇮-6010","layer":2},{"info":"⫛⫱⨽⊺⇮-6010=⊺⇮0","layer":1},{"info":"NaN⋓⊺⇮0=⊺⇮0","layer":0}]}
{"id":943,"expression_no_base_symbol":"(($1211$≧⫂∧$1811$⇋≉)⪘⫢((⪲⇎$5368$)⩨(↽≂$1932$)))∀⇚≩(∂(-$1641$⪒$8520$))","expression":"((⊺⇮1211≧⫂∧⊺⇮1811⇋≉)⪘⫢((⪲⇎⊺⇮5368)⩨(↽≂⊺⇮1932)))∀⇚≩(∂(-⊺⇮1641⪒⊺⇮8520))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":28,"operation_count":10,"complexity_ratio":2.8,"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":1211,"base":10},"right_expr":{"type":"numeric_atoms","value":1811,"base":10}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":5368,"base":10}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1932,"base":10}}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1641,"base":10},"right_expr":{"type":"numeric_atoms","value":8520,"base":10}}}}},"used_operators":["LRNGc0VcxI","oacrs7FA3X","XIabStNQrY","Ph9nP6C5qx","2DlMacCsIx","XPYlsWDdGa","u6S6b8DprG","Uaa54Peajs","t8gj7n24qd","f6k1SAg4EE"],"dependent_operators":["X99M06cbEe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1211","layer":4},{"info":"number node, value=1811","layer":4},{"info":"compute binary expreesion, left_input=1211, right_input=1811, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1338","layer":3},{"info":"compute unary expreesion, input=1338, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=2578","layer":2},{"info":"number node, value=5368","layer":4},{"info":"compute unary expreesion, input=5368, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=10736","layer":3},{"info":"number node, value=1932","layer":4},{"info":"compute unary expreesion, input=1932, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-3864","layer":3},{"info":"compute binary expreesion, left_input=10736, right_input=-3864, 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=2578, right_input=3, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=0","layer":1},{"info":"number node, value=1641","layer":4},{"info":"number node, value=8520","layer":4},{"info":"compute binary expreesion, left_input=1641, right_input=8520, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-10161","layer":3},{"info":"compute unary expreesion, input=-10161, op_id = t8gj7n24qd, unary_op_definition = 'None', output=10161","layer":2},{"info":"compute unary expreesion, input=10161, 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 = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":10,"result_base":10,"text":"((⊺⇮1211≧⫂∧⊺⇮1811⇋≉)⪘⫢((⪲⇎⊺⇮5368)⩨(↽≂⊺⇮1932)))∀⇚≩(∂(-⊺⇮1641⪒⊺⇮8520))=NaN","reverse_text":"NaN=((⊺⇮1211≧⫂∧⊺⇮1811⇋≉)⪘⫢((⪲⇎⊺⇮5368)⩨(↽≂⊺⇮1932)))∀⇚≩(∂(-⊺⇮1641⪒⊺⇮8520))","cot":[{"info":"⊺⇮1211≧⫂∧⊺⇮1811=⊺⇮1338","layer":3},{"info":"⊺⇮1338⇋≉=⊺⇮2578","layer":2},{"info":"⪲⇎⊺⇮5368=⊺⇮10736","layer":3},{"info":"↽≂⊺⇮1932=⊺⇮-3864","layer":3},{"info":"⊺⇮10736⩨⊺⇮-3864=⊺⇮3","layer":2},{"info":"⊺⇮2578⪘⫢⊺⇮3=⊺⇮0","layer":1},{"info":"⊺⇮1641⪒⊺⇮8520=⊺⇮-10161","layer":3},{"info":"-⊺⇮-10161=⊺⇮10161","layer":2},{"info":"∂⊺⇮10161=NaN","layer":1},{"info":"⊺⇮0∀⇚≩NaN=NaN","layer":0}]}
{"id":944,"expression_no_base_symbol":"+⊝⨔(($5327$⋷$1030$)≭($1917$⪨≂$3062$)⨽(⫓⪴$5033$)∼($1241$≎⊠⪸$4450$))","expression":"+⊝⨔((⊺⇮5327⋷⊺⇮1030)≭(⊺⇮1917⪨≂⊺⇮3062)⨽(⫓⪴⊺⇮5033)∼(⊺⇮1241≎⊠⪸⊺⇮4450))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":502032,"operation_count":8,"complexity_ratio":62754.0,"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":5327,"base":10},"right_expr":{"type":"numeric_atoms","value":1030,"base":10}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1917,"base":10},"right_expr":{"type":"numeric_atoms","value":3062,"base":10}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":5033,"base":10}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1241,"base":10},"right_expr":{"type":"numeric_atoms","value":4450,"base":10}}}}},"used_operators":["DhbWaqg5eL","8HhzD0ZcuI","rxpJgHHUmx","23Mk6UjR3U","sdazOOVcIp","DyGG3AbaNP","eLxqMNBOBk","bJkvcejdHO"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9HNa5Wba9A","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⊺⇮1522","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5327","layer":4},{"info":"number node, value=1030","layer":4},{"info":"compute binary expreesion, left_input=5327, right_input=1030, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-3267","layer":3},{"info":"number node, value=1917","layer":4},{"info":"number node, value=3062","layer":4},{"info":"compute binary expreesion, left_input=1917, right_input=3062, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-2188","layer":3},{"info":"compute binary expreesion, left_input=-3267, right_input=-2188, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=5033","layer":4},{"info":"compute unary expreesion, input=5033, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=25331089","layer":3},{"info":"number node, value=1241","layer":4},{"info":"number node, value=4450","layer":4},{"info":"compute binary expreesion, left_input=1241, right_input=4450, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=320946","layer":3},{"info":"compute binary expreesion, left_input=25331089, right_input=320946, 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 = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*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":10,"result_base":10,"text":"+⊝⨔((⊺⇮5327⋷⊺⇮1030)≭(⊺⇮1917⪨≂⊺⇮3062)⨽(⫓⪴⊺⇮5033)∼(⊺⇮1241≎⊠⪸⊺⇮4450))=⊺⇮1522","reverse_text":"⊺⇮1522=+⊝⨔((⊺⇮5327⋷⊺⇮1030)≭(⊺⇮1917⪨≂⊺⇮3062)⨽(⫓⪴⊺⇮5033)∼(⊺⇮1241≎⊠⪸⊺⇮4450))","cot":[{"info":"⊺⇮5327⋷⊺⇮1030=⊺⇮-3267","layer":3},{"info":"⊺⇮1917⪨≂⊺⇮3062=⊺⇮-2188","layer":3},{"info":"⊺⇮-3267≭⊺⇮-2188=NaN","layer":2},{"info":"⫓⪴⊺⇮5033=⊺⇮25331089","layer":3},{"info":"⊺⇮1241≎⊠⪸⊺⇮4450=⊺⇮320946","layer":3},{"info":"⊺⇮25331089∼⊺⇮320946=NaN","layer":2},{"info":"NaN⨽NaN=NaN","layer":1},{"info":"+⊝⨔NaN=⊺⇮1522","layer":0}]}
{"id":945,"expression_no_base_symbol":"(↩($1370$⊠≄⫣))⪮%⊝((↥$4654$)⩨$2034$⊴$6572$)⋓(($1776$⫡⨏$1095$)⇷($1075$⨵⪆$2725$)%(($1319$⨵⪆$8003$)⊦⊿))","expression":"(↩(⊺⇮1370⊠≄⫣))⪮%⊝((↥⊺⇮4654)⩨⊺⇮2034⊴⊺⇮6572)⋓((⊺⇮1776⫡⨏⊺⇮1095)⇷(⊺⇮1075⨵⪆⊺⇮2725)%((⊺⇮1319⨵⪆⊺⇮8003)⊦⊿))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":172681,"operation_count":13,"complexity_ratio":13283.153846153846,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1370,"base":10}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":4654,"base":10}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2034,"base":10},"right_expr":{"type":"numeric_atoms","value":6572,"base":10}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1776,"base":10},"right_expr":{"type":"numeric_atoms","value":1095,"base":10}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1075,"base":10},"right_expr":{"type":"numeric_atoms","value":2725,"base":10}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1319,"base":10},"right_expr":{"type":"numeric_atoms","value":8003,"base":10}}}}},"used_operators":["T2fj7uvVaJ","IWmyXbctLI","jLgFTUHLKL","DIvbN7qnHd","2DlMacCsIx","A8NUZmVepG","Nsiff2A1zJ","k8jYdgA6NY","mp7IySMOzn","QMFrweE19q","2DQ55sFlQl","14qkJME0vr"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","k8jYdgA6NY","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1370","layer":4},{"info":"compute unary expreesion, input=1370, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', 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":"number node, value=4654","layer":4},{"info":"compute unary expreesion, input=4654, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=13","layer":3},{"info":"number node, value=2034","layer":4},{"info":"number node, value=6572","layer":4},{"info":"compute binary expreesion, left_input=2034, right_input=6572, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=13, 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=4844, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"number node, value=1776","layer":4},{"info":"number node, value=1095","layer":4},{"info":"compute binary expreesion, left_input=1776, right_input=1095, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=11853","layer":3},{"info":"number node, value=1075","layer":4},{"info":"number node, value=2725","layer":4},{"info":"compute binary expreesion, left_input=1075, right_input=2725, 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=11853, right_input=160, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=320","layer":2},{"info":"number node, value=1319","layer":4},{"info":"number node, value=8003","layer":4},{"info":"compute binary expreesion, left_input=1319, right_input=8003, 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 = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-559","layer":2},{"info":"compute binary expreesion, left_input=320, right_input=-559, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-239","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-239, op_id = T2fj7uvVaJ binary_op_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":10,"result_base":10,"text":"(↩(⊺⇮1370⊠≄⫣))⪮%⊝((↥⊺⇮4654)⩨⊺⇮2034⊴⊺⇮6572)⋓((⊺⇮1776⫡⨏⊺⇮1095)⇷(⊺⇮1075⨵⪆⊺⇮2725)%((⊺⇮1319⨵⪆⊺⇮8003)⊦⊿))=⊺⇮0","reverse_text":"⊺⇮0=(↩(⊺⇮1370⊠≄⫣))⪮%⊝((↥⊺⇮4654)⩨⊺⇮2034⊴⊺⇮6572)⋓((⊺⇮1776⫡⨏⊺⇮1095)⇷(⊺⇮1075⨵⪆⊺⇮2725)%((⊺⇮1319⨵⪆⊺⇮8003)⊦⊿))","cot":[{"info":"⊺⇮1370⊠≄⫣=⊺⇮0","layer":3},{"info":"↩⊺⇮0=⊺⇮4844","layer":2},{"info":"↥⊺⇮4654=⊺⇮13","layer":3},{"info":"⊺⇮2034⊴⊺⇮6572=NaN","layer":3},{"info":"⊺⇮13⩨NaN=NaN","layer":2},{"info":"⊺⇮4844⪮%⊝NaN=NaN","layer":1},{"info":"⊺⇮1776⫡⨏⊺⇮1095=⊺⇮11853","layer":3},{"info":"⊺⇮1075⨵⪆⊺⇮2725=⊺⇮160","layer":3},{"info":"⊺⇮11853⇷⊺⇮160=⊺⇮320","layer":2},{"info":"⊺⇮1319⨵⪆⊺⇮8003=⊺⇮160","layer":3},{"info":"⊺⇮160⊦⊿=⊺⇮-559","layer":2},{"info":"⊺⇮320%⊺⇮-559=⊺⇮-239","layer":1},{"info":"NaN⋓⊺⇮-239=⊺⇮0","layer":0}]}
{"id":946,"expression_no_base_symbol":"(($4496$⨸⪁$3259$)↙($2386$≫≃))≧⫂∧(⪲⇎($2684$*$2949$))⪐","expression":"((⊺⇮4496⨸⪁⊺⇮3259)↙(⊺⇮2386≫≃))≧⫂∧(⪲⇎(⊺⇮2684*⊺⇮2949))⪐","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":8875,"operation_count":7,"complexity_ratio":1267.857142857143,"tree":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4496,"base":10},"right_expr":{"type":"numeric_atoms","value":3259,"base":10}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":2386,"base":10}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2684,"base":10},"right_expr":{"type":"numeric_atoms","value":2949,"base":10}}}}},"used_operators":["eH2TOUuTDT","Ph9nP6C5qx","yyfyN0ffXY","g55IO6H4Gj","X99M06cbEe","XPYlsWDdGa","9HNa5Wba9A"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"⊺⇮31659518","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4496","layer":4},{"info":"number node, value=3259","layer":4},{"info":"compute binary expreesion, left_input=4496, right_input=3259, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=15510","layer":3},{"info":"number node, value=2386","layer":4},{"info":"compute unary expreesion, input=2386, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=6173","layer":3},{"info":"compute binary expreesion, left_input=15510, right_input=6173, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-18519","layer":2},{"info":"number node, value=2684","layer":4},{"info":"number node, value=2949","layer":4},{"info":"compute binary expreesion, left_input=2684, right_input=2949, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=7915116","layer":3},{"info":"compute unary expreesion, input=7915116, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=15830232","layer":2},{"info":"compute binary expreesion, left_input=-18519, right_input=15830232, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=15829759","layer":1},{"info":"compute unary expreesion, input=15829759, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=31659518","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮4496⨸⪁⊺⇮3259)↙(⊺⇮2386≫≃))≧⫂∧(⪲⇎(⊺⇮2684*⊺⇮2949))⪐=⊺⇮31659518","reverse_text":"⊺⇮31659518=((⊺⇮4496⨸⪁⊺⇮3259)↙(⊺⇮2386≫≃))≧⫂∧(⪲⇎(⊺⇮2684*⊺⇮2949))⪐","cot":[{"info":"⊺⇮4496⨸⪁⊺⇮3259=⊺⇮15510","layer":3},{"info":"⊺⇮2386≫≃=⊺⇮6173","layer":3},{"info":"⊺⇮15510↙⊺⇮6173=⊺⇮-18519","layer":2},{"info":"⊺⇮2684*⊺⇮2949=⊺⇮7915116","layer":3},{"info":"⪲⇎⊺⇮7915116=⊺⇮15830232","layer":2},{"info":"⊺⇮-18519≧⫂∧⊺⇮15830232=⊺⇮15829759","layer":1},{"info":"⊺⇮15829759⪐=⊺⇮31659518","layer":0}]}
{"id":947,"expression_no_base_symbol":"↥($1003$⇷$1164$⪄($1968$⫩⊇)⨵⪆($1812$⋳⪒$5301$)⋓$5631$⊴$1583$)","expression":"↥(⊺⇮1003⇷⊺⇮1164⪄(⊺⇮1968⫩⊇)⨵⪆(⊺⇮1812⋳⪒⊺⇮5301)⋓⊺⇮5631⊴⊺⇮1583)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":17814,"operation_count":8,"complexity_ratio":2226.75,"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":1003,"base":10},"right_expr":{"type":"numeric_atoms","value":1164,"base":10}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":1968,"base":10}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1812,"base":10},"right_expr":{"type":"numeric_atoms","value":5301,"base":10}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":5631,"base":10},"right_expr":{"type":"numeric_atoms","value":1583,"base":10}}}}},"used_operators":["A8NUZmVepG","2DQ55sFlQl","SUmda5xLS4","mp7IySMOzn","BjRHVeLaeN","T2fj7uvVaJ","12rbrZMWeM","Nsiff2A1zJ"],"dependent_operators":["k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr"],"result":"⊺⇮7","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1003","layer":4},{"info":"number node, value=1164","layer":4},{"info":"compute binary expreesion, left_input=1003, right_input=1164, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2328","layer":3},{"info":"number node, value=1968","layer":4},{"info":"compute unary expreesion, input=1968, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1926","layer":3},{"info":"compute binary expreesion, left_input=2328, right_input=-1926, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-332929","layer":2},{"info":"number node, value=1812","layer":4},{"info":"number node, value=5301","layer":4},{"info":"compute binary expreesion, left_input=1812, right_input=5301, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-1964","layer":3},{"info":"number node, value=5631","layer":4},{"info":"number node, value=1583","layer":4},{"info":"compute binary expreesion, left_input=5631, right_input=1583, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1964, 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=-332929, 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 = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=7","layer":0}],"base":10,"result_base":10,"text":"↥(⊺⇮1003⇷⊺⇮1164⪄(⊺⇮1968⫩⊇)⨵⪆(⊺⇮1812⋳⪒⊺⇮5301)⋓⊺⇮5631⊴⊺⇮1583)=⊺⇮7","reverse_text":"⊺⇮7=↥(⊺⇮1003⇷⊺⇮1164⪄(⊺⇮1968⫩⊇)⨵⪆(⊺⇮1812⋳⪒⊺⇮5301)⋓⊺⇮5631⊴⊺⇮1583)","cot":[{"info":"⊺⇮1003⇷⊺⇮1164=⊺⇮2328","layer":3},{"info":"⊺⇮1968⫩⊇=⊺⇮-1926","layer":3},{"info":"⊺⇮2328⪄⊺⇮-1926=⊺⇮-332929","layer":2},{"info":"⊺⇮1812⋳⪒⊺⇮5301=⊺⇮-1964","layer":3},{"info":"⊺⇮5631⊴⊺⇮1583=NaN","layer":3},{"info":"⊺⇮-1964⋓NaN=NaN","layer":2},{"info":"⊺⇮-332929⨵⪆NaN=⊺⇮160","layer":1},{"info":"↥⊺⇮160=⊺⇮7","layer":0}]}
{"id":948,"expression_no_base_symbol":"((⊙↵-(≤/$2535$))↺(($8037$⋷$4785$)⊉≛↸$3969$⪘⫢$3179$))⪛(($2340$⊪)⪒(↣≠⋷$1364$)+($2655$⨽$1051$)⊴($2844$⨪↰⇹$4607$))","expression":"((⊙↵-(≤/⊺⇮2535))↺((⊺⇮8037⋷⊺⇮4785)⊉≛↸⊺⇮3969⪘⫢⊺⇮3179))⪛((⊺⇮2340⊪)⪒(↣≠⋷⊺⇮1364)+(⊺⇮2655⨽⊺⇮1051)⊴(⊺⇮2844⨪↰⇹⊺⇮4607))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":4493522,"operation_count":14,"complexity_ratio":320965.85714285716,"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":2535,"base":10}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":8037,"base":10},"right_expr":{"type":"numeric_atoms","value":4785,"base":10}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3969,"base":10},"right_expr":{"type":"numeric_atoms","value":3179,"base":10}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":2340,"base":10}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1364,"base":10}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2655,"base":10},"right_expr":{"type":"numeric_atoms","value":1051,"base":10}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2844,"base":10},"right_expr":{"type":"numeric_atoms","value":4607,"base":10}}}}},"used_operators":["uFcxV4UQCh","7j4O788W3g","oWn0xqSxBt","eLAdDNolq6","DZ8iAZOCBD","23Mk6UjR3U","oacrs7FA3X","W4YGzv6Whe","f6k1SAg4EE","zVYPLywUTj","Asc51vEJeQ","Nsiff2A1zJ","8HhzD0ZcuI","tmPS8pqC7x"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","XhwjNDsVaA","AHs5Up7iyr","dWAJyo7jo9","14qkJME0vr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"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 unary expreesion, input=-2051, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":2},{"info":"number node, value=8037","layer":4},{"info":"number node, value=4785","layer":4},{"info":"compute binary expreesion, left_input=8037, right_input=4785, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1533","layer":3},{"info":"number node, value=3969","layer":4},{"info":"number node, value=3179","layer":4},{"info":"compute binary expreesion, left_input=3969, right_input=3179, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=7814","layer":3},{"info":"compute binary expreesion, left_input=1533, right_input=7814, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3066","layer":2},{"info":"compute binary expreesion, left_input=196, right_input=3066, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3066","layer":1},{"info":"number node, value=2340","layer":4},{"info":"compute unary expreesion, input=2340, 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=1364","layer":4},{"info":"compute unary expreesion, input=1364, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=2655","layer":4},{"info":"number node, value=1051","layer":4},{"info":"compute binary expreesion, left_input=2655, right_input=1051, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-21148914","layer":3},{"info":"number node, value=2844","layer":4},{"info":"number node, value=4607","layer":4},{"info":"compute binary expreesion, left_input=2844, right_input=4607, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2844","layer":3},{"info":"compute binary expreesion, left_input=-21148914, right_input=2844, 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 = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3066, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊙↵-(≤/⊺⇮2535))↺((⊺⇮8037⋷⊺⇮4785)⊉≛↸⊺⇮3969⪘⫢⊺⇮3179))⪛((⊺⇮2340⊪)⪒(↣≠⋷⊺⇮1364)+(⊺⇮2655⨽⊺⇮1051)⊴(⊺⇮2844⨪↰⇹⊺⇮4607))=NaN","reverse_text":"NaN=((⊙↵-(≤/⊺⇮2535))↺((⊺⇮8037⋷⊺⇮4785)⊉≛↸⊺⇮3969⪘⫢⊺⇮3179))⪛((⊺⇮2340⊪)⪒(↣≠⋷⊺⇮1364)+(⊺⇮2655⨽⊺⇮1051)⊴(⊺⇮2844⨪↰⇹⊺⇮4607))","cot":[{"info":"≤/⊺⇮2535=⊺⇮-2051","layer":3},{"info":"⊙↵-⊺⇮-2051=⊺⇮196","layer":2},{"info":"⊺⇮8037⋷⊺⇮4785=⊺⇮1533","layer":3},{"info":"⊺⇮3969⪘⫢⊺⇮3179=⊺⇮7814","layer":3},{"info":"⊺⇮1533⊉≛↸⊺⇮7814=⊺⇮3066","layer":2},{"info":"⊺⇮196↺⊺⇮3066=⊺⇮3066","layer":1},{"info":"⊺⇮2340⊪=⊺⇮0","layer":3},{"info":"↣≠⋷⊺⇮1364=NaN","layer":3},{"info":"⊺⇮0⪒NaN=NaN","layer":2},{"info":"⊺⇮2655⨽⊺⇮1051=⊺⇮-21148914","layer":3},{"info":"⊺⇮2844⨪↰⇹⊺⇮4607=⊺⇮2844","layer":3},{"info":"⊺⇮-21148914⊴⊺⇮2844=NaN","layer":2},{"info":"NaN+NaN=NaN","layer":1},{"info":"⊺⇮3066⪛NaN=NaN","layer":0}]}
{"id":949,"expression_no_base_symbol":"↯⪼(((≤/$2729$)⫡⨏$3503$⪘⫢$1203$)⩠)","expression":"↯⪼(((≤/⊺⇮2729)⫡⨏⊺⇮3503⪘⫢⊺⇮1203)⩠)","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":72,"operation_count":5,"complexity_ratio":14.4,"tree":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2729,"base":10}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3503,"base":10},"right_expr":{"type":"numeric_atoms","value":1203,"base":10}}}}},"used_operators":["8jW3W4yZS5","sJAwomhLZr","QMFrweE19q","eLAdDNolq6","oacrs7FA3X"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⊺⇮-21","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2729","layer":4},{"info":"compute unary expreesion, input=2729, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2245","layer":3},{"info":"number node, value=3503","layer":4},{"info":"number node, value=1203","layer":4},{"info":"compute binary expreesion, left_input=3503, right_input=1203, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6882","layer":3},{"info":"compute binary expreesion, left_input=-2245, right_input=6882, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=3322","layer":2},{"info":"compute unary expreesion, input=3322, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":0}],"base":10,"result_base":10,"text":"↯⪼(((≤/⊺⇮2729)⫡⨏⊺⇮3503⪘⫢⊺⇮1203)⩠)=⊺⇮-21","reverse_text":"⊺⇮-21=↯⪼(((≤/⊺⇮2729)⫡⨏⊺⇮3503⪘⫢⊺⇮1203)⩠)","cot":[{"info":"≤/⊺⇮2729=⊺⇮-2245","layer":3},{"info":"⊺⇮3503⪘⫢⊺⇮1203=⊺⇮6882","layer":3},{"info":"⊺⇮-2245⫡⨏⊺⇮6882=⊺⇮3322","layer":2},{"info":"⊺⇮3322⩠=⊺⇮0","layer":1},{"info":"↯⪼⊺⇮0=⊺⇮-21","layer":0}]}
{"id":950,"expression_no_base_symbol":"(⨵≀≌($2520$⨽$1456$)⩷∴(↩$6331$))⫸⊐(($2337$⩠)⊭↱$1132$∼$3582$)↬((↣≠⋷$4537$)/($3318$≣⋋))","expression":"(⨵≀≌(⊺⇮2520⨽⊺⇮1456)⩷∴(↩⊺⇮6331))⫸⊐((⊺⇮2337⩠)⊭↱⊺⇮1132∼⊺⇮3582)↬((↣≠⋷⊺⇮4537)/(⊺⇮3318≣⋋))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":38015931,"operation_count":12,"complexity_ratio":3167994.25,"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":2520,"base":10},"right_expr":{"type":"numeric_atoms","value":1456,"base":10}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":6331,"base":10}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":2337,"base":10}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1132,"base":10},"right_expr":{"type":"numeric_atoms","value":3582,"base":10}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":4537,"base":10}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":3318,"base":10}}}}},"used_operators":["mqXw5SEYmG","srAu1WTS94","9FxExcQeMw","8HhzD0ZcuI","jLgFTUHLKL","B5M0gjZbta","COABgblf1C","sJAwomhLZr","DyGG3AbaNP","XhwjNDsVaA","Asc51vEJeQ","Tcnh7f0tEr"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","XhwjNDsVaA","AHs5Up7iyr","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2520","layer":4},{"info":"number node, value=1456","layer":4},{"info":"compute binary expreesion, left_input=2520, right_input=1456, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-19054254","layer":3},{"info":"number node, value=6331","layer":4},{"info":"compute unary expreesion, input=6331, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-47868","layer":3},{"info":"compute binary expreesion, left_input=-19054254, right_input=-47868, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-38012804","layer":2},{"info":"compute unary expreesion, input=-38012804, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=inf","layer":1},{"info":"number node, value=2337","layer":4},{"info":"compute unary expreesion, input=2337, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=1132","layer":4},{"info":"number node, value=3582","layer":4},{"info":"compute binary expreesion, left_input=1132, right_input=3582, 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 = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"number node, value=4537","layer":4},{"info":"compute unary expreesion, input=4537, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=3318","layer":4},{"info":"compute unary expreesion, input=3318, 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 = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=inf, 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":10,"result_base":10,"text":"(⨵≀≌(⊺⇮2520⨽⊺⇮1456)⩷∴(↩⊺⇮6331))⫸⊐((⊺⇮2337⩠)⊭↱⊺⇮1132∼⊺⇮3582)↬((↣≠⋷⊺⇮4537)/(⊺⇮3318≣⋋))=NaN","reverse_text":"NaN=(⨵≀≌(⊺⇮2520⨽⊺⇮1456)⩷∴(↩⊺⇮6331))⫸⊐((⊺⇮2337⩠)⊭↱⊺⇮1132∼⊺⇮3582)↬((↣≠⋷⊺⇮4537)/(⊺⇮3318≣⋋))","cot":[{"info":"⊺⇮2520⨽⊺⇮1456=⊺⇮-19054254","layer":3},{"info":"↩⊺⇮6331=⊺⇮-47868","layer":3},{"info":"⊺⇮-19054254⩷∴⊺⇮-47868=⊺⇮-38012804","layer":2},{"info":"⨵≀≌⊺⇮-38012804=Inf","layer":1},{"info":"⊺⇮2337⩠=⊺⇮0","layer":3},{"info":"⊺⇮1132∼⊺⇮3582=NaN","layer":3},{"info":"⊺⇮0⊭↱NaN=NaN","layer":2},{"info":"↣≠⋷⊺⇮4537=NaN","layer":3},{"info":"⊺⇮3318≣⋋=⊺⇮0","layer":3},{"info":"NaN/⊺⇮0=NaN","layer":2},{"info":"NaN↬NaN=NaN","layer":1},{"info":"Inf⫸⊐NaN=NaN","layer":0}]}
{"id":951,"expression_no_base_symbol":"⊥(⋗⩬⋾($1423$⇷$2030$⫡⨏(↔$2094$)))","expression":"⊥(⋗⩬⋾(⊺⇮1423⇷⊺⇮2030⫡⨏(↔⊺⇮2094)))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":19946,"operation_count":5,"complexity_ratio":3989.2,"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":1423,"base":10},"right_expr":{"type":"numeric_atoms","value":2030,"base":10}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2094,"base":10}}}}},"used_operators":["Q3PJZHRvZv","DpFCA1CohY","QMFrweE19q","mp7IySMOzn","ruOEQAzv1W"],"dependent_operators":["fu6greOZ01","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1423","layer":4},{"info":"number node, value=2030","layer":4},{"info":"compute binary expreesion, left_input=1423, right_input=2030, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4060","layer":3},{"info":"number node, value=2094","layer":4},{"info":"compute unary expreesion, input=2094, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1821","layer":3},{"info":"compute binary expreesion, left_input=4060, right_input=-1821, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=17441","layer":2},{"info":"compute unary expreesion, input=17441, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-52323","layer":1},{"info":"compute unary expreesion, input=-52323, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⊥(⋗⩬⋾(⊺⇮1423⇷⊺⇮2030⫡⨏(↔⊺⇮2094)))=NaN","reverse_text":"NaN=⊥(⋗⩬⋾(⊺⇮1423⇷⊺⇮2030⫡⨏(↔⊺⇮2094)))","cot":[{"info":"⊺⇮1423⇷⊺⇮2030=⊺⇮4060","layer":3},{"info":"↔⊺⇮2094=⊺⇮-1821","layer":3},{"info":"⊺⇮4060⫡⨏⊺⇮-1821=⊺⇮17441","layer":2},{"info":"⋗⩬⋾⊺⇮17441=⊺⇮-52323","layer":1},{"info":"⊥⊺⇮-52323=NaN","layer":0}]}
{"id":952,"expression_no_base_symbol":"(($1292$⩚⊴⇥$4524$)⊴($3563$⪄$1115$)≋⫹)⫡⨏(⇁⨣⪵($1665$⋥≓≎$1334$)⪛$3236$≹⇙⪍$5375$)","expression":"((⊺⇮1292⩚⊴⇥⊺⇮4524)⊴(⊺⇮3563⪄⊺⇮1115)≋⫹)⫡⨏(⇁⨣⪵(⊺⇮1665⋥≓≎⊺⇮1334)⪛⊺⇮3236≹⇙⪍⊺⇮5375)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":527997,"operation_count":9,"complexity_ratio":58666.333333333336,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1292,"base":10},"right_expr":{"type":"numeric_atoms","value":4524,"base":10}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3563,"base":10},"right_expr":{"type":"numeric_atoms","value":1115,"base":10}}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1665,"base":10},"right_expr":{"type":"numeric_atoms","value":1334,"base":10}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3236,"base":10},"right_expr":{"type":"numeric_atoms","value":5375,"base":10}}}}},"used_operators":["QMFrweE19q","N41Kp7NANJ","Nsiff2A1zJ","NTOWxs364D","SUmda5xLS4","inkyxCbjAn","uFcxV4UQCh","Qy55tPpLXF","AHs5Up7iyr"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","B5M0gjZbta","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1292","layer":4},{"info":"number node, value=4524","layer":4},{"info":"compute binary expreesion, left_input=1292, right_input=4524, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5937","layer":3},{"info":"number node, value=3563","layer":4},{"info":"number node, value=1115","layer":4},{"info":"compute binary expreesion, left_input=3563, right_input=1115, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-527873","layer":3},{"info":"compute binary expreesion, left_input=-5937, right_input=-527873, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=nan","layer":1},{"info":"number node, value=1665","layer":4},{"info":"number node, value=1334","layer":4},{"info":"compute binary expreesion, left_input=1665, right_input=1334, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1036","layer":3},{"info":"number node, value=3236","layer":4},{"info":"number node, value=5375","layer":4},{"info":"compute binary expreesion, left_input=3236, right_input=5375, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=1036, 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 = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1292⩚⊴⇥⊺⇮4524)⊴(⊺⇮3563⪄⊺⇮1115)≋⫹)⫡⨏(⇁⨣⪵(⊺⇮1665⋥≓≎⊺⇮1334)⪛⊺⇮3236≹⇙⪍⊺⇮5375)=NaN","reverse_text":"NaN=((⊺⇮1292⩚⊴⇥⊺⇮4524)⊴(⊺⇮3563⪄⊺⇮1115)≋⫹)⫡⨏(⇁⨣⪵(⊺⇮1665⋥≓≎⊺⇮1334)⪛⊺⇮3236≹⇙⪍⊺⇮5375)","cot":[{"info":"⊺⇮1292⩚⊴⇥⊺⇮4524=⊺⇮-5937","layer":3},{"info":"⊺⇮3563⪄⊺⇮1115=⊺⇮-527873","layer":3},{"info":"⊺⇮-5937⊴⊺⇮-527873=NaN","layer":2},{"info":"NaN≋⫹=NaN","layer":1},{"info":"⊺⇮1665⋥≓≎⊺⇮1334=⊺⇮1036","layer":3},{"info":"⊺⇮3236≹⇙⪍⊺⇮5375=NaN","layer":3},{"info":"⊺⇮1036⪛NaN=NaN","layer":2},{"info":"⇁⨣⪵NaN=NaN","layer":1},{"info":"NaN⫡⨏NaN=NaN","layer":0}]}
{"id":953,"expression_no_base_symbol":"(≉$5004$⩚⊴⇥$5658$)⨰($7068$⪘⫢$1339$⋫)⨸⪁($3113$%$2358$)⪮%⊝($2871$↙$2084$)⪛(↥(↥$5788$))","expression":"(≉⊺⇮5004⩚⊴⇥⊺⇮5658)⨰(⊺⇮7068⪘⫢⊺⇮1339⋫)⨸⪁(⊺⇮3113%⊺⇮2358)⪮%⊝(⊺⇮2871↙⊺⇮2084)⪛(↥(↥⊺⇮5788))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":16327,"operation_count":12,"complexity_ratio":1360.5833333333333,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":5004,"base":10},"right_expr":{"type":"numeric_atoms","value":5658,"base":10}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":7068,"base":10},"right_expr":{"type":"numeric_atoms","value":1339,"base":10}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3113,"base":10},"right_expr":{"type":"numeric_atoms","value":2358,"base":10}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2871,"base":10},"right_expr":{"type":"numeric_atoms","value":2084,"base":10}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":5788,"base":10}}}}},"used_operators":["g55IO6H4Gj","eewbuw0ToL","e1ybzncUwg","NTOWxs364D","JL8yIekQnl","oacrs7FA3X","uFcxV4UQCh","IWmyXbctLI","k8jYdgA6NY","yyfyN0ffXY","A8NUZmVepG"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","tmPS8pqC7x","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","k8jYdgA6NY"],"result":"⊺⇮-49568","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5004","layer":4},{"info":"number node, value=5658","layer":4},{"info":"compute binary expreesion, left_input=5004, right_input=5658, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-10783","layer":3},{"info":"compute unary expreesion, input=-10783, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-10783","layer":2},{"info":"number node, value=7068","layer":4},{"info":"number node, value=1339","layer":4},{"info":"compute binary expreesion, left_input=7068, right_input=1339, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=14012","layer":3},{"info":"compute unary expreesion, input=14012, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=14012","layer":2},{"info":"compute binary expreesion, left_input=-10783, right_input=14012, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-24785","layer":1},{"info":"number node, value=3113","layer":4},{"info":"number node, value=2358","layer":4},{"info":"compute binary expreesion, left_input=3113, right_input=2358, op_id = k8jYdgA6NY binary_op_definition= 'None', output=755","layer":3},{"info":"number node, value=2871","layer":4},{"info":"number node, value=2084","layer":4},{"info":"compute binary expreesion, left_input=2871, right_input=2084, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-6252","layer":3},{"info":"compute binary expreesion, left_input=755, right_input=-6252, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=1826","layer":2},{"info":"number node, value=5788","layer":4},{"info":"compute unary expreesion, input=5788, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=25","layer":3},{"info":"compute unary expreesion, input=25, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=25","layer":2},{"info":"compute binary expreesion, left_input=1826, right_input=25, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1","layer":1},{"info":"compute binary expreesion, left_input=-24785, right_input=1, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-49568","layer":0}],"base":10,"result_base":10,"text":"(≉⊺⇮5004⩚⊴⇥⊺⇮5658)⨰(⊺⇮7068⪘⫢⊺⇮1339⋫)⨸⪁(⊺⇮3113%⊺⇮2358)⪮%⊝(⊺⇮2871↙⊺⇮2084)⪛(↥(↥⊺⇮5788))=⊺⇮-49568","reverse_text":"⊺⇮-49568=(≉⊺⇮5004⩚⊴⇥⊺⇮5658)⨰(⊺⇮7068⪘⫢⊺⇮1339⋫)⨸⪁(⊺⇮3113%⊺⇮2358)⪮%⊝(⊺⇮2871↙⊺⇮2084)⪛(↥(↥⊺⇮5788))","cot":[{"info":"⊺⇮5004⩚⊴⇥⊺⇮5658=⊺⇮-10783","layer":3},{"info":"≉⊺⇮-10783=⊺⇮-10783","layer":2},{"info":"⊺⇮7068⪘⫢⊺⇮1339=⊺⇮14012","layer":3},{"info":"⊺⇮14012⋫=⊺⇮14012","layer":2},{"info":"⊺⇮-10783⨰⊺⇮14012=⊺⇮-24785","layer":1},{"info":"⊺⇮3113%⊺⇮2358=⊺⇮755","layer":3},{"info":"⊺⇮2871↙⊺⇮2084=⊺⇮-6252","layer":3},{"info":"⊺⇮755⪮%⊝⊺⇮-6252=⊺⇮1826","layer":2},{"info":"↥⊺⇮5788=⊺⇮25","layer":3},{"info":"↥⊺⇮25=⊺⇮25","layer":2},{"info":"⊺⇮1826⪛⊺⇮25=⊺⇮1","layer":1},{"info":"⊺⇮-24785⨸⪁⊺⇮1=⊺⇮-49568","layer":0}]}
{"id":954,"expression_no_base_symbol":"(((⫓⪴$4043$)⨁⊸⫻)↙((≦∁$2230$)≋⫹))⨓((+⊝⨔($3947$⨁⊸⫻))+(↯⪼($3429$⩤)))","expression":"(((⫓⪴⊺⇮4043)⨁⊸⫻)↙((≦∁⊺⇮2230)≋⫹))⨓((+⊝⨔(⊺⇮3947⨁⊸⫻))+(↯⪼(⊺⇮3429⩤)))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":16036,"operation_count":11,"complexity_ratio":1457.8181818181818,"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":4043,"base":10}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2230,"base":10}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":3947,"base":10}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":3429,"base":10}}}}},"used_operators":["3ViojmjbAp","yyfyN0ffXY","glklzrTFfD","eLxqMNBOBk","N41Kp7NANJ","9ICcGScMcE","W4YGzv6Whe","DhbWaqg5eL","8jW3W4yZS5","Z2TMIBDE3Q"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd"],"result":"⊺⇮-7466","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4043","layer":4},{"info":"compute unary expreesion, input=4043, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=16345849","layer":3},{"info":"compute unary expreesion, input=16345849, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=16345849","layer":2},{"info":"number node, value=2230","layer":4},{"info":"compute unary expreesion, input=2230, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2230","layer":3},{"info":"compute unary expreesion, input=2230, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-4460","layer":2},{"info":"compute binary expreesion, left_input=16345849, right_input=-4460, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=13380","layer":1},{"info":"number node, value=3947","layer":4},{"info":"compute unary expreesion, input=3947, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=3947","layer":3},{"info":"compute unary expreesion, input=3947, 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=3429","layer":4},{"info":"compute unary expreesion, input=3429, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-3429","layer":3},{"info":"compute unary expreesion, input=-3429, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=5941","layer":2},{"info":"compute binary expreesion, left_input=1522, right_input=5941, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7463","layer":1},{"info":"compute binary expreesion, left_input=13380, right_input=7463, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-7466","layer":0}],"base":10,"result_base":10,"text":"(((⫓⪴⊺⇮4043)⨁⊸⫻)↙((≦∁⊺⇮2230)≋⫹))⨓((+⊝⨔(⊺⇮3947⨁⊸⫻))+(↯⪼(⊺⇮3429⩤)))=⊺⇮-7466","reverse_text":"⊺⇮-7466=(((⫓⪴⊺⇮4043)⨁⊸⫻)↙((≦∁⊺⇮2230)≋⫹))⨓((+⊝⨔(⊺⇮3947⨁⊸⫻))+(↯⪼(⊺⇮3429⩤)))","cot":[{"info":"⫓⪴⊺⇮4043=⊺⇮16345849","layer":3},{"info":"⊺⇮16345849⨁⊸⫻=⊺⇮16345849","layer":2},{"info":"≦∁⊺⇮2230=⊺⇮2230","layer":3},{"info":"⊺⇮2230≋⫹=⊺⇮-4460","layer":2},{"info":"⊺⇮16345849↙⊺⇮-4460=⊺⇮13380","layer":1},{"info":"⊺⇮3947⨁⊸⫻=⊺⇮3947","layer":3},{"info":"+⊝⨔⊺⇮3947=⊺⇮1522","layer":2},{"info":"⊺⇮3429⩤=⊺⇮-3429","layer":3},{"info":"↯⪼⊺⇮-3429=⊺⇮5941","layer":2},{"info":"⊺⇮1522+⊺⇮5941=⊺⇮7463","layer":1},{"info":"⊺⇮13380⨓⊺⇮7463=⊺⇮-7466","layer":0}]}
{"id":955,"expression_no_base_symbol":"($1206$⨟⋌⩍$4175$⊭↱$3144$⨎$1224$∲⫓$7040$∀⇚≩$1247$⨰($7631$⊉≛↸$7030$))⇋≉","expression":"(⊺⇮1206⨟⋌⩍⊺⇮4175⊭↱⊺⇮3144⨎⊺⇮1224∲⫓⊺⇮7040∀⇚≩⊺⇮1247⨰(⊺⇮7631⊉≛↸⊺⇮7030))⇋≉","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":49301,"operation_count":8,"complexity_ratio":6162.625,"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":1206,"base":10},"right_expr":{"type":"numeric_atoms","value":4175,"base":10}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3144,"base":10},"right_expr":{"type":"numeric_atoms","value":1224,"base":10}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":7040,"base":10},"right_expr":{"type":"numeric_atoms","value":1247,"base":10}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":7631,"base":10},"right_expr":{"type":"numeric_atoms","value":7030,"base":10}}}}},"used_operators":["XIabStNQrY","i8ToyICDmI","COABgblf1C","rGHVDoGpnC","rJVOvQCfKK","eewbuw0ToL","LRNGc0VcxI","DZ8iAZOCBD"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1206","layer":4},{"info":"number node, value=4175","layer":4},{"info":"compute binary expreesion, left_input=1206, right_input=4175, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=3144","layer":4},{"info":"number node, value=1224","layer":4},{"info":"compute binary expreesion, left_input=3144, right_input=1224, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1224","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1224, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"number node, value=7040","layer":4},{"info":"number node, value=1247","layer":4},{"info":"compute binary expreesion, left_input=7040, right_input=1247, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=7631","layer":4},{"info":"number node, value=7030","layer":4},{"info":"compute binary expreesion, left_input=7631, right_input=7030, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=15262","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=15262, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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 = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1206⨟⋌⩍⊺⇮4175⊭↱⊺⇮3144⨎⊺⇮1224∲⫓⊺⇮7040∀⇚≩⊺⇮1247⨰(⊺⇮7631⊉≛↸⊺⇮7030))⇋≉=NaN","reverse_text":"NaN=(⊺⇮1206⨟⋌⩍⊺⇮4175⊭↱⊺⇮3144⨎⊺⇮1224∲⫓⊺⇮7040∀⇚≩⊺⇮1247⨰(⊺⇮7631⊉≛↸⊺⇮7030))⇋≉","cot":[{"info":"⊺⇮1206⨟⋌⩍⊺⇮4175=NaN","layer":3},{"info":"⊺⇮3144⨎⊺⇮1224=⊺⇮1224","layer":3},{"info":"NaN⊭↱⊺⇮1224=NaN","layer":2},{"info":"⊺⇮7040∀⇚≩⊺⇮1247=NaN","layer":3},{"info":"⊺⇮7631⊉≛↸⊺⇮7030=⊺⇮15262","layer":3},{"info":"NaN⨰⊺⇮15262=NaN","layer":2},{"info":"NaN∲⫓NaN=NaN","layer":1},{"info":"NaN⇋≉=NaN","layer":0}]}
{"id":956,"expression_no_base_symbol":"⪝⪂⫅(↯⪼($5017$↬$1281$∑⇟⊟($3185$⋥≓≎$1895$)))","expression":"⪝⪂⫅(↯⪼(⊺⇮5017↬⊺⇮1281∑⇟⊟(⊺⇮3185⋥≓≎⊺⇮1895)))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":407104,"operation_count":5,"complexity_ratio":81420.8,"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":5017,"base":10},"right_expr":{"type":"numeric_atoms","value":1281,"base":10}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3185,"base":10},"right_expr":{"type":"numeric_atoms","value":1895,"base":10}}}}},"used_operators":["XTarYq4gQB","8jW3W4yZS5","U7g4x0WXJJ","B5M0gjZbta","Qy55tPpLXF"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⊺⇮3087","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5017","layer":4},{"info":"number node, value=1281","layer":4},{"info":"compute binary expreesion, left_input=5017, right_input=1281, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=3185","layer":4},{"info":"number node, value=1895","layer":4},{"info":"compute binary expreesion, left_input=3185, right_input=1895, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=638","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=638, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":1},{"info":"compute unary expreesion, input=-21, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=3087","layer":0}],"base":10,"result_base":10,"text":"⪝⪂⫅(↯⪼(⊺⇮5017↬⊺⇮1281∑⇟⊟(⊺⇮3185⋥≓≎⊺⇮1895)))=⊺⇮3087","reverse_text":"⊺⇮3087=⪝⪂⫅(↯⪼(⊺⇮5017↬⊺⇮1281∑⇟⊟(⊺⇮3185⋥≓≎⊺⇮1895)))","cot":[{"info":"⊺⇮5017↬⊺⇮1281=NaN","layer":3},{"info":"⊺⇮3185⋥≓≎⊺⇮1895=⊺⇮638","layer":3},{"info":"NaN∑⇟⊟⊺⇮638=NaN","layer":2},{"info":"↯⪼NaN=⊺⇮-21","layer":1},{"info":"⪝⪂⫅⊺⇮-21=⊺⇮3087","layer":0}]}
{"id":957,"expression_no_base_symbol":"(($1705$+$5203$)⪄$1133$∑⇟⊟$3098$)⋳⪒(⨰⫟⨤$6642$)+⇶⊼($1432$⩨$1133$)/(($3373$↛⩡⫤)%$5673$⋥≓≎$1254$)∀⇚≩(↯⪼($1806$↺$5168$))","expression":"((⊺⇮1705+⊺⇮5203)⪄⊺⇮1133∑⇟⊟⊺⇮3098)⋳⪒(⨰⫟⨤⊺⇮6642)+⇶⊼(⊺⇮1432⩨⊺⇮1133)/((⊺⇮3373↛⩡⫤)%⊺⇮5673⋥≓≎⊺⇮1254)∀⇚≩(↯⪼(⊺⇮1806↺⊺⇮5168))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":44408,"operation_count":14,"complexity_ratio":3172.0,"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":1705,"base":10},"right_expr":{"type":"numeric_atoms","value":5203,"base":10}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1133,"base":10},"right_expr":{"type":"numeric_atoms","value":3098,"base":10}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":6642,"base":10}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1432,"base":10},"right_expr":{"type":"numeric_atoms","value":1133,"base":10}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":3373,"base":10}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":5673,"base":10},"right_expr":{"type":"numeric_atoms","value":1254,"base":10}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1806,"base":10},"right_expr":{"type":"numeric_atoms","value":5168,"base":10}}}}},"used_operators":["XhwjNDsVaA","12rbrZMWeM","SUmda5xLS4","W4YGzv6Whe","U7g4x0WXJJ","TpPTUOHfaN","Tw270M8GLb","2DlMacCsIx","LRNGc0VcxI","k8jYdgA6NY","FU0Cs4j7VP","Qy55tPpLXF","8jW3W4yZS5","7j4O788W3g"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","AHs5Up7iyr","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","X99M06cbEe","rysDP5nf3Z","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1705","layer":4},{"info":"number node, value=5203","layer":4},{"info":"compute binary expreesion, left_input=1705, right_input=5203, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6908","layer":3},{"info":"number node, value=1133","layer":4},{"info":"number node, value=3098","layer":4},{"info":"compute binary expreesion, left_input=1133, right_input=3098, 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=6908, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":2},{"info":"number node, value=6642","layer":4},{"info":"compute unary expreesion, input=6642, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=1432","layer":4},{"info":"number node, value=1133","layer":4},{"info":"compute binary expreesion, left_input=1432, right_input=1133, 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 = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"number node, value=3373","layer":4},{"info":"compute unary expreesion, input=3373, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-505412","layer":3},{"info":"number node, value=5673","layer":4},{"info":"number node, value=1254","layer":4},{"info":"compute binary expreesion, left_input=5673, right_input=1254, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-3132","layer":3},{"info":"compute binary expreesion, left_input=-505412, right_input=-3132, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-1160","layer":2},{"info":"number node, value=1806","layer":4},{"info":"number node, value=5168","layer":4},{"info":"compute binary expreesion, left_input=1806, right_input=5168, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5168","layer":3},{"info":"compute unary expreesion, input=5168, 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=-1160, right_input=-21, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1705+⊺⇮5203)⪄⊺⇮1133∑⇟⊟⊺⇮3098)⋳⪒(⨰⫟⨤⊺⇮6642)+⇶⊼(⊺⇮1432⩨⊺⇮1133)/((⊺⇮3373↛⩡⫤)%⊺⇮5673⋥≓≎⊺⇮1254)∀⇚≩(↯⪼(⊺⇮1806↺⊺⇮5168))=NaN","reverse_text":"NaN=((⊺⇮1705+⊺⇮5203)⪄⊺⇮1133∑⇟⊟⊺⇮3098)⋳⪒(⨰⫟⨤⊺⇮6642)+⇶⊼(⊺⇮1432⩨⊺⇮1133)/((⊺⇮3373↛⩡⫤)%⊺⇮5673⋥≓≎⊺⇮1254)∀⇚≩(↯⪼(⊺⇮1806↺⊺⇮5168))","cot":[{"info":"⊺⇮1705+⊺⇮5203=⊺⇮6908","layer":3},{"info":"⊺⇮1133∑⇟⊟⊺⇮3098=NaN","layer":3},{"info":"⊺⇮6908⪄NaN=NaN","layer":2},{"info":"⨰⫟⨤⊺⇮6642=NaN","layer":3},{"info":"⊺⇮1432⩨⊺⇮1133=⊺⇮0","layer":3},{"info":"NaN+⇶⊼⊺⇮0=⊺⇮0","layer":2},{"info":"NaN⋳⪒⊺⇮0=NaN","layer":1},{"info":"⊺⇮3373↛⩡⫤=⊺⇮-505412","layer":3},{"info":"⊺⇮5673⋥≓≎⊺⇮1254=⊺⇮-3132","layer":3},{"info":"⊺⇮-505412%⊺⇮-3132=⊺⇮-1160","layer":2},{"info":"⊺⇮1806↺⊺⇮5168=⊺⇮5168","layer":3},{"info":"↯⪼⊺⇮5168=⊺⇮-21","layer":2},{"info":"⊺⇮-1160∀⇚≩⊺⇮-21=NaN","layer":1},{"info":"NaN/NaN=NaN","layer":0}]}
{"id":958,"expression_no_base_symbol":"((⪝⪂⫅$1377$)∼($1893$⊭↱$7593$))⊴(($6052$⋳⪒$1056$)⨟⋌⩍$3741$⪮%⊝$2207$)≧⫂∧(↔(≉($2349$⋷$1613$)))","expression":"((⪝⪂⫅⊺⇮1377)∼(⊺⇮1893⊭↱⊺⇮7593))⊴((⊺⇮6052⋳⪒⊺⇮1056)⨟⋌⩍⊺⇮3741⪮%⊝⊺⇮2207)≧⫂∧(↔(≉(⊺⇮2349⋷⊺⇮1613)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4165,"operation_count":11,"complexity_ratio":378.6363636363636,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1377,"base":10}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1893,"base":10},"right_expr":{"type":"numeric_atoms","value":7593,"base":10}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":6052,"base":10},"right_expr":{"type":"numeric_atoms","value":1056,"base":10}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3741,"base":10},"right_expr":{"type":"numeric_atoms","value":2207,"base":10}}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2349,"base":10},"right_expr":{"type":"numeric_atoms","value":1613,"base":10}}}}},"used_operators":["Ph9nP6C5qx","Nsiff2A1zJ","DyGG3AbaNP","XTarYq4gQB","COABgblf1C","rGHVDoGpnC","12rbrZMWeM","IWmyXbctLI","ruOEQAzv1W","e1ybzncUwg","23Mk6UjR3U"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1377","layer":4},{"info":"compute unary expreesion, input=1377, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-202419","layer":3},{"info":"number node, value=1893","layer":4},{"info":"number node, value=7593","layer":4},{"info":"compute binary expreesion, left_input=1893, right_input=7593, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=11405","layer":3},{"info":"compute binary expreesion, left_input=-202419, right_input=11405, 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=6052","layer":4},{"info":"number node, value=1056","layer":4},{"info":"compute binary expreesion, left_input=6052, right_input=1056, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=10761","layer":3},{"info":"number node, value=3741","layer":4},{"info":"number node, value=2207","layer":4},{"info":"compute binary expreesion, left_input=3741, right_input=2207, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=7798","layer":3},{"info":"compute binary expreesion, left_input=10761, right_input=7798, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=2349","layer":4},{"info":"number node, value=1613","layer":4},{"info":"compute binary expreesion, left_input=2349, right_input=1613, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=877","layer":3},{"info":"compute unary expreesion, input=877, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1408","layer":2},{"info":"compute unary expreesion, input=1408, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1135","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1135, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⪝⪂⫅⊺⇮1377)∼(⊺⇮1893⊭↱⊺⇮7593))⊴((⊺⇮6052⋳⪒⊺⇮1056)⨟⋌⩍⊺⇮3741⪮%⊝⊺⇮2207)≧⫂∧(↔(≉(⊺⇮2349⋷⊺⇮1613)))=NaN","reverse_text":"NaN=((⪝⪂⫅⊺⇮1377)∼(⊺⇮1893⊭↱⊺⇮7593))⊴((⊺⇮6052⋳⪒⊺⇮1056)⨟⋌⩍⊺⇮3741⪮%⊝⊺⇮2207)≧⫂∧(↔(≉(⊺⇮2349⋷⊺⇮1613)))","cot":[{"info":"⪝⪂⫅⊺⇮1377=⊺⇮-202419","layer":3},{"info":"⊺⇮1893⊭↱⊺⇮7593=⊺⇮11405","layer":3},{"info":"⊺⇮-202419∼⊺⇮11405=NaN","layer":2},{"info":"⊺⇮6052⋳⪒⊺⇮1056=⊺⇮10761","layer":3},{"info":"⊺⇮3741⪮%⊝⊺⇮2207=⊺⇮7798","layer":3},{"info":"⊺⇮10761⨟⋌⩍⊺⇮7798=NaN","layer":2},{"info":"NaN⊴NaN=NaN","layer":1},{"info":"⊺⇮2349⋷⊺⇮1613=⊺⇮877","layer":3},{"info":"≉⊺⇮877=⊺⇮1408","layer":2},{"info":"↔⊺⇮1408=⊺⇮-1135","layer":1},{"info":"NaN≧⫂∧⊺⇮-1135=NaN","layer":0}]}
{"id":959,"expression_no_base_symbol":"($3453$∲⫓$1616$)∼($2595$⨸⪁$7434$)∑⇟⊟($1188$≭$2495$)↬(⩦⩻⨪$2187$)⊠≄⫣","expression":"(⊺⇮3453∲⫓⊺⇮1616)∼(⊺⇮2595⨸⪁⊺⇮7434)∑⇟⊟(⊺⇮1188≭⊺⇮2495)↬(⩦⩻⨪⊺⇮2187)⊠≄⫣","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":17,"operation_count":8,"complexity_ratio":2.125,"tree":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3453,"base":10},"right_expr":{"type":"numeric_atoms","value":1616,"base":10}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2595,"base":10},"right_expr":{"type":"numeric_atoms","value":7434,"base":10}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1188,"base":10},"right_expr":{"type":"numeric_atoms","value":2495,"base":10}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2187,"base":10}}}}},"used_operators":["DIvbN7qnHd","U7g4x0WXJJ","DyGG3AbaNP","i8ToyICDmI","g55IO6H4Gj","B5M0gjZbta","rxpJgHHUmx","2td37pGCOC"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rGHVDoGpnC","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3453","layer":4},{"info":"number node, value=1616","layer":4},{"info":"compute binary expreesion, left_input=3453, right_input=1616, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=2595","layer":4},{"info":"number node, value=7434","layer":4},{"info":"compute binary expreesion, left_input=2595, right_input=7434, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=20058","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=20058, 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=1188","layer":4},{"info":"number node, value=2495","layer":4},{"info":"compute binary expreesion, left_input=1188, right_input=2495, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=2187","layer":4},{"info":"compute unary expreesion, input=2187, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2187","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2187, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = 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 = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮3453∲⫓⊺⇮1616)∼(⊺⇮2595⨸⪁⊺⇮7434)∑⇟⊟(⊺⇮1188≭⊺⇮2495)↬(⩦⩻⨪⊺⇮2187)⊠≄⫣=NaN","reverse_text":"NaN=(⊺⇮3453∲⫓⊺⇮1616)∼(⊺⇮2595⨸⪁⊺⇮7434)∑⇟⊟(⊺⇮1188≭⊺⇮2495)↬(⩦⩻⨪⊺⇮2187)⊠≄⫣","cot":[{"info":"⊺⇮3453∲⫓⊺⇮1616=⊺⇮0","layer":3},{"info":"⊺⇮2595⨸⪁⊺⇮7434=⊺⇮20058","layer":3},{"info":"⊺⇮0∼⊺⇮20058=NaN","layer":2},{"info":"⊺⇮1188≭⊺⇮2495=NaN","layer":3},{"info":"⩦⩻⨪⊺⇮2187=⊺⇮2187","layer":3},{"info":"NaN↬⊺⇮2187=NaN","layer":2},{"info":"NaN∑⇟⊟NaN=NaN","layer":1},{"info":"NaN⊠≄⫣=NaN","layer":0}]}
{"id":960,"expression_no_base_symbol":"($1111$≭$6378$⨐⩸⫘($1547$↙$4604$))⫥∨⫟(⊄⩳↩$1174$)≹⇙⪍(⪲⇎$2672$)⫥∨⫟(⊙↵-((⪝⪂⫅$1609$)⩠))","expression":"(⊺⇮1111≭⊺⇮6378⨐⩸⫘(⊺⇮1547↙⊺⇮4604))⫥∨⫟(⊄⩳↩⊺⇮1174)≹⇙⪍(⪲⇎⊺⇮2672)⫥∨⫟(⊙↵-((⪝⪂⫅⊺⇮1609)⩠))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":951437,"operation_count":11,"complexity_ratio":86494.27272727272,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1111,"base":10},"right_expr":{"type":"numeric_atoms","value":6378,"base":10}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1547,"base":10},"right_expr":{"type":"numeric_atoms","value":4604,"base":10}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1174,"base":10}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":2672,"base":10}}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1609,"base":10}}}}},"used_operators":["KYD54nUTWz","fu6greOZ01","rxpJgHHUmx","yyfyN0ffXY","AHs5Up7iyr","8w2t5hMYqp","XPYlsWDdGa","oWn0xqSxBt","sJAwomhLZr","XTarYq4gQB"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","3ViojmjbAp","AHs5Up7iyr","tmPS8pqC7x","DpFCA1CohY","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","9HNa5Wba9A","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1111","layer":4},{"info":"number node, value=6378","layer":4},{"info":"compute binary expreesion, left_input=1111, right_input=6378, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=1547","layer":4},{"info":"number node, value=4604","layer":4},{"info":"compute binary expreesion, left_input=1547, right_input=4604, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-13812","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-13812, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=1174","layer":4},{"info":"compute unary expreesion, input=1174, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3522","layer":3},{"info":"number node, value=2672","layer":4},{"info":"compute unary expreesion, input=2672, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=5344","layer":3},{"info":"compute binary expreesion, left_input=-3522, right_input=5344, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1609","layer":4},{"info":"compute unary expreesion, input=1609, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-236523","layer":3},{"info":"compute unary expreesion, input=-236523, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=946301","layer":2},{"info":"compute unary expreesion, input=946301, 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 = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1111≭⊺⇮6378⨐⩸⫘(⊺⇮1547↙⊺⇮4604))⫥∨⫟(⊄⩳↩⊺⇮1174)≹⇙⪍(⪲⇎⊺⇮2672)⫥∨⫟(⊙↵-((⪝⪂⫅⊺⇮1609)⩠))=NaN","reverse_text":"NaN=(⊺⇮1111≭⊺⇮6378⨐⩸⫘(⊺⇮1547↙⊺⇮4604))⫥∨⫟(⊄⩳↩⊺⇮1174)≹⇙⪍(⪲⇎⊺⇮2672)⫥∨⫟(⊙↵-((⪝⪂⫅⊺⇮1609)⩠))","cot":[{"info":"⊺⇮1111≭⊺⇮6378=NaN","layer":3},{"info":"⊺⇮1547↙⊺⇮4604=⊺⇮-13812","layer":3},{"info":"NaN⨐⩸⫘⊺⇮-13812=NaN","layer":2},{"info":"⊄⩳↩⊺⇮1174=⊺⇮-3522","layer":3},{"info":"⪲⇎⊺⇮2672=⊺⇮5344","layer":3},{"info":"⊺⇮-3522≹⇙⪍⊺⇮5344=NaN","layer":2},{"info":"NaN⫥∨⫟NaN=NaN","layer":1},{"info":"⪝⪂⫅⊺⇮1609=⊺⇮-236523","layer":3},{"info":"⊺⇮-236523⩠=⊺⇮946301","layer":2},{"info":"⊙↵-⊺⇮946301=⊺⇮-1","layer":1},{"info":"NaN⫥∨⫟⊺⇮-1=NaN","layer":0}]}
{"id":961,"expression_no_base_symbol":"($1509$⪒$3956$⋷$3737$⋝⋈⪟$3588$)⇷($1191$∑⇟⊟$4834$⫩⊇)⩨((($2279$⋥≓≎$3029$)⊘)⊉≛↸(≤/(↽≂$1045$)))","expression":"(⊺⇮1509⪒⊺⇮3956⋷⊺⇮3737⋝⋈⪟⊺⇮3588)⇷(⊺⇮1191∑⇟⊟⊺⇮4834⫩⊇)⩨(((⊺⇮2279⋥≓≎⊺⇮3029)⊘)⊉≛↸(≤/(↽≂⊺⇮1045)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":153070,"operation_count":12,"complexity_ratio":12755.833333333334,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1509,"base":10},"right_expr":{"type":"numeric_atoms","value":3956,"base":10}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3737,"base":10},"right_expr":{"type":"numeric_atoms","value":3588,"base":10}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1191,"base":10},"right_expr":{"type":"numeric_atoms","value":4834,"base":10}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2279,"base":10},"right_expr":{"type":"numeric_atoms","value":3029,"base":10}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1045,"base":10}}}}},"used_operators":["2DlMacCsIx","mp7IySMOzn","23Mk6UjR3U","f6k1SAg4EE","2DDjHMKMc0","BjRHVeLaeN","U7g4x0WXJJ","DZ8iAZOCBD","gu96TGCTMs","Qy55tPpLXF","eLAdDNolq6","u6S6b8DprG"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1509","layer":4},{"info":"number node, value=3956","layer":4},{"info":"compute binary expreesion, left_input=1509, right_input=3956, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5465","layer":3},{"info":"number node, value=3737","layer":4},{"info":"number node, value=3588","layer":4},{"info":"compute binary expreesion, left_input=3737, right_input=3588, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3737","layer":3},{"info":"compute binary expreesion, left_input=-5465, right_input=3737, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=10930","layer":2},{"info":"number node, value=1191","layer":4},{"info":"number node, value=4834","layer":4},{"info":"compute binary expreesion, left_input=1191, right_input=4834, 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 = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=10930, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"number node, value=2279","layer":4},{"info":"number node, value=3029","layer":4},{"info":"compute binary expreesion, left_input=2279, right_input=3029, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3812","layer":3},{"info":"compute unary expreesion, input=3812, 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=1045","layer":4},{"info":"compute unary expreesion, input=1045, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2090","layer":3},{"info":"compute unary expreesion, input=-2090, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=2574","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=2574, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1509⪒⊺⇮3956⋷⊺⇮3737⋝⋈⪟⊺⇮3588)⇷(⊺⇮1191∑⇟⊟⊺⇮4834⫩⊇)⩨(((⊺⇮2279⋥≓≎⊺⇮3029)⊘)⊉≛↸(≤/(↽≂⊺⇮1045)))=NaN","reverse_text":"NaN=(⊺⇮1509⪒⊺⇮3956⋷⊺⇮3737⋝⋈⪟⊺⇮3588)⇷(⊺⇮1191∑⇟⊟⊺⇮4834⫩⊇)⩨(((⊺⇮2279⋥≓≎⊺⇮3029)⊘)⊉≛↸(≤/(↽≂⊺⇮1045)))","cot":[{"info":"⊺⇮1509⪒⊺⇮3956=⊺⇮-5465","layer":3},{"info":"⊺⇮3737⋝⋈⪟⊺⇮3588=⊺⇮3737","layer":3},{"info":"⊺⇮-5465⋷⊺⇮3737=⊺⇮10930","layer":2},{"info":"⊺⇮1191∑⇟⊟⊺⇮4834=NaN","layer":3},{"info":"NaN⫩⊇=NaN","layer":2},{"info":"⊺⇮10930⇷NaN=NaN","layer":1},{"info":"⊺⇮2279⋥≓≎⊺⇮3029=⊺⇮3812","layer":3},{"info":"⊺⇮3812⊘=⊺⇮0","layer":2},{"info":"↽≂⊺⇮1045=⊺⇮-2090","layer":3},{"info":"≤/⊺⇮-2090=⊺⇮2574","layer":2},{"info":"⊺⇮0⊉≛↸⊺⇮2574=⊺⇮0","layer":1},{"info":"NaN⩨⊺⇮0=NaN","layer":0}]}
{"id":962,"expression_no_base_symbol":"(⫓⪴(($5441$⪠⩆⊳)⫸⊐$1380$∼$2440$))⨽((≦∁$2337$⨟⋌⩍$4831$)-($1979$*$5651$)↺$2696$⨎$4766$)","expression":"(⫓⪴((⊺⇮5441⪠⩆⊳)⫸⊐⊺⇮1380∼⊺⇮2440))⨽((≦∁⊺⇮2337⨟⋌⩍⊺⇮4831)-(⊺⇮1979*⊺⇮5651)↺⊺⇮2696⨎⊺⇮4766)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2035,"operation_count":11,"complexity_ratio":185.0,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":5441,"base":10}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1380,"base":10},"right_expr":{"type":"numeric_atoms","value":2440,"base":10}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2337,"base":10},"right_expr":{"type":"numeric_atoms","value":4831,"base":10}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1979,"base":10},"right_expr":{"type":"numeric_atoms","value":5651,"base":10}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2696,"base":10},"right_expr":{"type":"numeric_atoms","value":4766,"base":10}}}}},"used_operators":["8HhzD0ZcuI","eLxqMNBOBk","mqXw5SEYmG","JLbD19bQDL","DyGG3AbaNP","rysDP5nf3Z","9ICcGScMcE","rGHVDoGpnC","7j4O788W3g","9HNa5Wba9A","rJVOvQCfKK"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9HNa5Wba9A","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5441","layer":4},{"info":"compute unary expreesion, input=5441, 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=1380","layer":4},{"info":"number node, value=2440","layer":4},{"info":"compute binary expreesion, left_input=1380, right_input=2440, 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 = 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 = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=0","layer":1},{"info":"number node, value=2337","layer":4},{"info":"number node, value=4831","layer":4},{"info":"compute binary expreesion, left_input=2337, right_input=4831, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=nan","layer":2},{"info":"number node, value=1979","layer":4},{"info":"number node, value=5651","layer":4},{"info":"compute binary expreesion, left_input=1979, right_input=5651, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=11183329","layer":3},{"info":"number node, value=2696","layer":4},{"info":"number node, value=4766","layer":4},{"info":"compute binary expreesion, left_input=2696, right_input=4766, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4766","layer":3},{"info":"compute binary expreesion, left_input=11183329, right_input=4766, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4766","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4766, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"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":0}],"base":10,"result_base":10,"text":"(⫓⪴((⊺⇮5441⪠⩆⊳)⫸⊐⊺⇮1380∼⊺⇮2440))⨽((≦∁⊺⇮2337⨟⋌⩍⊺⇮4831)-(⊺⇮1979*⊺⇮5651)↺⊺⇮2696⨎⊺⇮4766)=NaN","reverse_text":"NaN=(⫓⪴((⊺⇮5441⪠⩆⊳)⫸⊐⊺⇮1380∼⊺⇮2440))⨽((≦∁⊺⇮2337⨟⋌⩍⊺⇮4831)-(⊺⇮1979*⊺⇮5651)↺⊺⇮2696⨎⊺⇮4766)","cot":[{"info":"⊺⇮5441⪠⩆⊳=⊺⇮0","layer":3},{"info":"⊺⇮1380∼⊺⇮2440=NaN","layer":3},{"info":"⊺⇮0⫸⊐NaN=⊺⇮0","layer":2},{"info":"⫓⪴⊺⇮0=⊺⇮0","layer":1},{"info":"⊺⇮2337⨟⋌⩍⊺⇮4831=NaN","layer":3},{"info":"≦∁NaN=NaN","layer":2},{"info":"⊺⇮1979*⊺⇮5651=⊺⇮11183329","layer":3},{"info":"⊺⇮2696⨎⊺⇮4766=⊺⇮4766","layer":3},{"info":"⊺⇮11183329↺⊺⇮4766=⊺⇮4766","layer":2},{"info":"NaN-⊺⇮4766=NaN","layer":1},{"info":"⊺⇮0⨽NaN=NaN","layer":0}]}
{"id":963,"expression_no_base_symbol":"(($8698$⇷$2197$⨐⩸⫘($4415$⋷$2405$))≭(($6979$⋳⪒$3241$)⇋≉))⩷∴(($2296$⊴$3474$∸)⪒($1243$⨳⩥⨓$4624$)⪢($3664$⪒$3285$))","expression":"((⊺⇮8698⇷⊺⇮2197⨐⩸⫘(⊺⇮4415⋷⊺⇮2405))≭((⊺⇮6979⋳⪒⊺⇮3241)⇋≉))⩷∴((⊺⇮2296⊴⊺⇮3474∸)⪒(⊺⇮1243⨳⩥⨓⊺⇮4624)⪢(⊺⇮3664⪒⊺⇮3285))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":290808,"operation_count":13,"complexity_ratio":22369.846153846152,"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":8698,"base":10},"right_expr":{"type":"numeric_atoms","value":2197,"base":10}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":4415,"base":10},"right_expr":{"type":"numeric_atoms","value":2405,"base":10}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":6979,"base":10},"right_expr":{"type":"numeric_atoms","value":3241,"base":10}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2296,"base":10},"right_expr":{"type":"numeric_atoms","value":3474,"base":10}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1243,"base":10},"right_expr":{"type":"numeric_atoms","value":4624,"base":10}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3664,"base":10},"right_expr":{"type":"numeric_atoms","value":3285,"base":10}}}}},"used_operators":["9FxExcQeMw","rxpJgHHUmx","fu6greOZ01","mp7IySMOzn","23Mk6UjR3U","XIabStNQrY","12rbrZMWeM","f6k1SAg4EE","o20kRiQErp","Nsiff2A1zJ","dWAJyo7jo9","nCS4ZIUYfx"],"dependent_operators":["rysDP5nf3Z","AHs5Up7iyr","3ViojmjbAp","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","dWAJyo7jo9","14qkJME0vr","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=8698","layer":4},{"info":"number node, value=2197","layer":4},{"info":"compute binary expreesion, left_input=8698, right_input=2197, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4394","layer":3},{"info":"number node, value=4415","layer":4},{"info":"number node, value=2405","layer":4},{"info":"compute binary expreesion, left_input=4415, right_input=2405, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=395","layer":3},{"info":"compute binary expreesion, left_input=4394, right_input=395, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-398","layer":2},{"info":"number node, value=6979","layer":4},{"info":"number node, value=3241","layer":4},{"info":"compute binary expreesion, left_input=6979, right_input=3241, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=10430","layer":3},{"info":"compute unary expreesion, input=10430, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=20762","layer":2},{"info":"compute binary expreesion, left_input=-398, right_input=20762, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=2296","layer":4},{"info":"number node, value=3474","layer":4},{"info":"compute binary expreesion, left_input=2296, right_input=3474, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', 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=1243","layer":4},{"info":"number node, value=4624","layer":4},{"info":"compute binary expreesion, left_input=1243, right_input=4624, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=3381","layer":3},{"info":"number node, value=3664","layer":4},{"info":"number node, value=3285","layer":4},{"info":"compute binary expreesion, left_input=3664, right_input=3285, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6949","layer":3},{"info":"compute binary expreesion, left_input=3381, right_input=-6949, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=177, 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 = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮8698⇷⊺⇮2197⨐⩸⫘(⊺⇮4415⋷⊺⇮2405))≭((⊺⇮6979⋳⪒⊺⇮3241)⇋≉))⩷∴((⊺⇮2296⊴⊺⇮3474∸)⪒(⊺⇮1243⨳⩥⨓⊺⇮4624)⪢(⊺⇮3664⪒⊺⇮3285))=NaN","reverse_text":"NaN=((⊺⇮8698⇷⊺⇮2197⨐⩸⫘(⊺⇮4415⋷⊺⇮2405))≭((⊺⇮6979⋳⪒⊺⇮3241)⇋≉))⩷∴((⊺⇮2296⊴⊺⇮3474∸)⪒(⊺⇮1243⨳⩥⨓⊺⇮4624)⪢(⊺⇮3664⪒⊺⇮3285))","cot":[{"info":"⊺⇮8698⇷⊺⇮2197=⊺⇮4394","layer":3},{"info":"⊺⇮4415⋷⊺⇮2405=⊺⇮395","layer":3},{"info":"⊺⇮4394⨐⩸⫘⊺⇮395=⊺⇮-398","layer":2},{"info":"⊺⇮6979⋳⪒⊺⇮3241=⊺⇮10430","layer":3},{"info":"⊺⇮10430⇋≉=⊺⇮20762","layer":2},{"info":"⊺⇮-398≭⊺⇮20762=NaN","layer":1},{"info":"⊺⇮2296⊴⊺⇮3474=NaN","layer":3},{"info":"NaN∸=⊺⇮177","layer":2},{"info":"⊺⇮1243⨳⩥⨓⊺⇮4624=⊺⇮3381","layer":3},{"info":"⊺⇮3664⪒⊺⇮3285=⊺⇮-6949","layer":3},{"info":"⊺⇮3381⪢⊺⇮-6949=NaN","layer":2},{"info":"⊺⇮177⪒NaN=NaN","layer":1},{"info":"NaN⩷∴NaN=NaN","layer":0}]}
{"id":964,"expression_no_base_symbol":"(≦∁$3572$≎⊠⪸$1228$)⪮%⊝(($1401$⇼⇔∾$5453$)⩷∴($1649$⊉≛↸$2427$))⋥≓≎($1857$⩨$4877$⨸⪁$1603$⫸⊐$1112$)∀⇚≩(⋗⩬⋾($4971$*$1680$))","expression":"(≦∁⊺⇮3572≎⊠⪸⊺⇮1228)⪮%⊝((⊺⇮1401⇼⇔∾⊺⇮5453)⩷∴(⊺⇮1649⊉≛↸⊺⇮2427))⋥≓≎(⊺⇮1857⩨⊺⇮4877⨸⪁⊺⇮1603⫸⊐⊺⇮1112)∀⇚≩(⋗⩬⋾(⊺⇮4971*⊺⇮1680))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":62447,"operation_count":13,"complexity_ratio":4803.615384615385,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3572,"base":10},"right_expr":{"type":"numeric_atoms","value":1228,"base":10}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1401,"base":10},"right_expr":{"type":"numeric_atoms","value":5453,"base":10}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1649,"base":10},"right_expr":{"type":"numeric_atoms","value":2427,"base":10}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1857,"base":10},"right_expr":{"type":"numeric_atoms","value":4877,"base":10}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1603,"base":10},"right_expr":{"type":"numeric_atoms","value":1112,"base":10}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4971,"base":10},"right_expr":{"type":"numeric_atoms","value":1680,"base":10}}}}},"used_operators":["Qy55tPpLXF","IWmyXbctLI","9ICcGScMcE","bJkvcejdHO","9FxExcQeMw","tifHPKVTfV","DZ8iAZOCBD","LRNGc0VcxI","g55IO6H4Gj","2DlMacCsIx","mqXw5SEYmG","DpFCA1CohY","9HNa5Wba9A"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3572","layer":4},{"info":"number node, value=1228","layer":4},{"info":"compute binary expreesion, left_input=3572, right_input=1228, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=924675","layer":3},{"info":"compute unary expreesion, input=924675, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=924675","layer":2},{"info":"number node, value=1401","layer":4},{"info":"number node, value=5453","layer":4},{"info":"compute binary expreesion, left_input=1401, right_input=5453, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=4052","layer":3},{"info":"number node, value=1649","layer":4},{"info":"number node, value=2427","layer":4},{"info":"compute binary expreesion, left_input=1649, right_input=2427, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3298","layer":3},{"info":"compute binary expreesion, left_input=4052, right_input=3298, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1476","layer":2},{"info":"compute binary expreesion, left_input=924675, right_input=1476, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=1849666","layer":1},{"info":"number node, value=1857","layer":4},{"info":"number node, value=4877","layer":4},{"info":"compute binary expreesion, left_input=1857, right_input=4877, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":3},{"info":"number node, value=1603","layer":4},{"info":"number node, value=1112","layer":4},{"info":"compute binary expreesion, left_input=1603, right_input=1112, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4323","layer":3},{"info":"compute binary expreesion, left_input=-6, right_input=4323, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=8634","layer":2},{"info":"number node, value=4971","layer":4},{"info":"number node, value=1680","layer":4},{"info":"compute binary expreesion, left_input=4971, right_input=1680, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=8351280","layer":3},{"info":"compute unary expreesion, input=8351280, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-25053840","layer":2},{"info":"compute binary expreesion, left_input=8634, right_input=-25053840, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1849666, 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":10,"result_base":10,"text":"(≦∁⊺⇮3572≎⊠⪸⊺⇮1228)⪮%⊝((⊺⇮1401⇼⇔∾⊺⇮5453)⩷∴(⊺⇮1649⊉≛↸⊺⇮2427))⋥≓≎(⊺⇮1857⩨⊺⇮4877⨸⪁⊺⇮1603⫸⊐⊺⇮1112)∀⇚≩(⋗⩬⋾(⊺⇮4971*⊺⇮1680))=NaN","reverse_text":"NaN=(≦∁⊺⇮3572≎⊠⪸⊺⇮1228)⪮%⊝((⊺⇮1401⇼⇔∾⊺⇮5453)⩷∴(⊺⇮1649⊉≛↸⊺⇮2427))⋥≓≎(⊺⇮1857⩨⊺⇮4877⨸⪁⊺⇮1603⫸⊐⊺⇮1112)∀⇚≩(⋗⩬⋾(⊺⇮4971*⊺⇮1680))","cot":[{"info":"⊺⇮3572≎⊠⪸⊺⇮1228=⊺⇮924675","layer":3},{"info":"≦∁⊺⇮924675=⊺⇮924675","layer":2},{"info":"⊺⇮1401⇼⇔∾⊺⇮5453=⊺⇮4052","layer":3},{"info":"⊺⇮1649⊉≛↸⊺⇮2427=⊺⇮3298","layer":3},{"info":"⊺⇮4052⩷∴⊺⇮3298=⊺⇮1476","layer":2},{"info":"⊺⇮924675⪮%⊝⊺⇮1476=⊺⇮1849666","layer":1},{"info":"⊺⇮1857⩨⊺⇮4877=⊺⇮-6","layer":3},{"info":"⊺⇮1603⫸⊐⊺⇮1112=⊺⇮4323","layer":3},{"info":"⊺⇮-6⨸⪁⊺⇮4323=⊺⇮8634","layer":2},{"info":"⊺⇮4971*⊺⇮1680=⊺⇮8351280","layer":3},{"info":"⋗⩬⋾⊺⇮8351280=⊺⇮-25053840","layer":2},{"info":"⊺⇮8634∀⇚≩⊺⇮-25053840=NaN","layer":1},{"info":"⊺⇮1849666⋥≓≎NaN=NaN","layer":0}]}
{"id":965,"expression_no_base_symbol":"$1263$⨟⋌⩍$2086$⪘⫢$6095$⪢$7928$⋷($4473$⊭∹↮)⨪↰⇹($2993$*$5092$)⋷(⩦⩻⨪$1031$⊴$1796$)⋳⪒($5481$↬$3791$⨳⩥⨓($1621$⊭↱$1339$))","expression":"⊺⇮1263⨟⋌⩍⊺⇮2086⪘⫢⊺⇮6095⪢⊺⇮7928⋷(⊺⇮4473⊭∹↮)⨪↰⇹(⊺⇮2993*⊺⇮5092)⋷(⩦⩻⨪⊺⇮1031⊴⊺⇮1796)⋳⪒(⊺⇮5481↬⊺⇮3791⨳⩥⨓(⊺⇮1621⊭↱⊺⇮1339))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":21709,"operation_count":14,"complexity_ratio":1550.642857142857,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1263,"base":10},"right_expr":{"type":"numeric_atoms","value":2086,"base":10}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":6095,"base":10},"right_expr":{"type":"numeric_atoms","value":7928,"base":10}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":4473,"base":10}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2993,"base":10},"right_expr":{"type":"numeric_atoms","value":5092,"base":10}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1031,"base":10},"right_expr":{"type":"numeric_atoms","value":1796,"base":10}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":5481,"base":10},"right_expr":{"type":"numeric_atoms","value":3791,"base":10}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1621,"base":10},"right_expr":{"type":"numeric_atoms","value":1339,"base":10}}}}},"used_operators":["23Mk6UjR3U","oacrs7FA3X","rGHVDoGpnC","dWAJyo7jo9","tmPS8pqC7x","xNBdhnnwKq","9HNa5Wba9A","12rbrZMWeM","2td37pGCOC","Nsiff2A1zJ","nCS4ZIUYfx","B5M0gjZbta","COABgblf1C"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","Tcnh7f0tEr","k8jYdgA6NY","rJVOvQCfKK","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1263","layer":4},{"info":"number node, value=2086","layer":4},{"info":"compute binary expreesion, left_input=1263, 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":3},{"info":"number node, value=6095","layer":4},{"info":"number node, value=7928","layer":4},{"info":"compute binary expreesion, left_input=6095, right_input=7928, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = 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=4473","layer":4},{"info":"compute unary expreesion, input=4473, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=8946","layer":3},{"info":"number node, value=2993","layer":4},{"info":"number node, value=5092","layer":4},{"info":"compute binary expreesion, left_input=2993, right_input=5092, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=15240356","layer":3},{"info":"compute binary expreesion, left_input=8946, right_input=15240356, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=8946","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=8946, 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=1031","layer":4},{"info":"number node, value=1796","layer":4},{"info":"compute binary expreesion, left_input=1031, right_input=1796, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', 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=5481","layer":4},{"info":"number node, value=3791","layer":4},{"info":"compute binary expreesion, left_input=5481, right_input=3791, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1621","layer":4},{"info":"number node, value=1339","layer":4},{"info":"compute binary expreesion, left_input=1621, right_input=1339, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-559","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-559, 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 = 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 = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⊺⇮1263⨟⋌⩍⊺⇮2086⪘⫢⊺⇮6095⪢⊺⇮7928⋷(⊺⇮4473⊭∹↮)⨪↰⇹(⊺⇮2993*⊺⇮5092)⋷(⩦⩻⨪⊺⇮1031⊴⊺⇮1796)⋳⪒(⊺⇮5481↬⊺⇮3791⨳⩥⨓(⊺⇮1621⊭↱⊺⇮1339))=NaN","reverse_text":"NaN=⊺⇮1263⨟⋌⩍⊺⇮2086⪘⫢⊺⇮6095⪢⊺⇮7928⋷(⊺⇮4473⊭∹↮)⨪↰⇹(⊺⇮2993*⊺⇮5092)⋷(⩦⩻⨪⊺⇮1031⊴⊺⇮1796)⋳⪒(⊺⇮5481↬⊺⇮3791⨳⩥⨓(⊺⇮1621⊭↱⊺⇮1339))","cot":[{"info":"⊺⇮1263⨟⋌⩍⊺⇮2086=NaN","layer":3},{"info":"⊺⇮6095⪢⊺⇮7928=NaN","layer":3},{"info":"NaN⪘⫢NaN=NaN","layer":2},{"info":"⊺⇮4473⊭∹↮=⊺⇮8946","layer":3},{"info":"⊺⇮2993*⊺⇮5092=⊺⇮15240356","layer":3},{"info":"⊺⇮8946⨪↰⇹⊺⇮15240356=⊺⇮8946","layer":2},{"info":"NaN⋷⊺⇮8946=NaN","layer":1},{"info":"⊺⇮1031⊴⊺⇮1796=NaN","layer":3},{"info":"⩦⩻⨪NaN=NaN","layer":2},{"info":"⊺⇮5481↬⊺⇮3791=NaN","layer":3},{"info":"⊺⇮1621⊭↱⊺⇮1339=⊺⇮-559","layer":3},{"info":"NaN⨳⩥⨓⊺⇮-559=NaN","layer":2},{"info":"NaN⋳⪒NaN=NaN","layer":1},{"info":"NaN⋷NaN=NaN","layer":0}]}
{"id":966,"expression_no_base_symbol":"(($7036$↙$1622$)⪘⫢($3146$⪠⩆⊳)⪨≂(+⊝⨔($3832$⩨$2013$)))-(+⊝⨔(($2284$*$1459$)⪛($3280$↙$3581$)))","expression":"((⊺⇮7036↙⊺⇮1622)⪘⫢(⊺⇮3146⪠⩆⊳)⪨≂(+⊝⨔(⊺⇮3832⩨⊺⇮2013)))-(+⊝⨔((⊺⇮2284*⊺⇮1459)⪛(⊺⇮3280↙⊺⇮3581)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7046,"operation_count":11,"complexity_ratio":640.5454545454545,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":7036,"base":10},"right_expr":{"type":"numeric_atoms","value":1622,"base":10}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":3146,"base":10}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3832,"base":10},"right_expr":{"type":"numeric_atoms","value":2013,"base":10}}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2284,"base":10},"right_expr":{"type":"numeric_atoms","value":1459,"base":10}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3280,"base":10},"right_expr":{"type":"numeric_atoms","value":3581,"base":10}}}}},"used_operators":["rysDP5nf3Z","sdazOOVcIp","oacrs7FA3X","yyfyN0ffXY","JLbD19bQDL","DhbWaqg5eL","2DlMacCsIx","uFcxV4UQCh","9HNa5Wba9A"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe"],"result":"⊺⇮-4466","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7036","layer":4},{"info":"number node, value=1622","layer":4},{"info":"compute binary expreesion, left_input=7036, right_input=1622, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4866","layer":3},{"info":"number node, value=3146","layer":4},{"info":"compute unary expreesion, input=3146, 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=-4866, 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":"number node, value=3832","layer":4},{"info":"number node, value=2013","layer":4},{"info":"compute binary expreesion, left_input=3832, right_input=2013, 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=-1, 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=-2944","layer":1},{"info":"number node, value=2284","layer":4},{"info":"number node, value=1459","layer":4},{"info":"compute binary expreesion, left_input=2284, right_input=1459, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3332356","layer":3},{"info":"number node, value=3280","layer":4},{"info":"number node, value=3581","layer":4},{"info":"compute binary expreesion, left_input=3280, right_input=3581, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-10743","layer":3},{"info":"compute binary expreesion, left_input=3332356, right_input=-10743, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-8717","layer":2},{"info":"compute unary expreesion, input=-8717, 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=-2944, right_input=1522, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-4466","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮7036↙⊺⇮1622)⪘⫢(⊺⇮3146⪠⩆⊳)⪨≂(+⊝⨔(⊺⇮3832⩨⊺⇮2013)))-(+⊝⨔((⊺⇮2284*⊺⇮1459)⪛(⊺⇮3280↙⊺⇮3581)))=⊺⇮-4466","reverse_text":"⊺⇮-4466=((⊺⇮7036↙⊺⇮1622)⪘⫢(⊺⇮3146⪠⩆⊳)⪨≂(+⊝⨔(⊺⇮3832⩨⊺⇮2013)))-(+⊝⨔((⊺⇮2284*⊺⇮1459)⪛(⊺⇮3280↙⊺⇮3581)))","cot":[{"info":"⊺⇮7036↙⊺⇮1622=⊺⇮-4866","layer":3},{"info":"⊺⇮3146⪠⩆⊳=⊺⇮0","layer":3},{"info":"⊺⇮-4866⪘⫢⊺⇮0=⊺⇮-1","layer":2},{"info":"⊺⇮3832⩨⊺⇮2013=⊺⇮0","layer":3},{"info":"+⊝⨔⊺⇮0=⊺⇮1522","layer":2},{"info":"⊺⇮-1⪨≂⊺⇮1522=⊺⇮-2944","layer":1},{"info":"⊺⇮2284*⊺⇮1459=⊺⇮3332356","layer":3},{"info":"⊺⇮3280↙⊺⇮3581=⊺⇮-10743","layer":3},{"info":"⊺⇮3332356⪛⊺⇮-10743=⊺⇮-8717","layer":2},{"info":"+⊝⨔⊺⇮-8717=⊺⇮1522","layer":1},{"info":"⊺⇮-2944-⊺⇮1522=⊺⇮-4466","layer":0}]}
{"id":967,"expression_no_base_symbol":"(⨰⫟⨤$1726$⪮%⊝$1860$)≹⇙⪍(↽≂($1537$⨳⩥⨓$5512$))⨵⪆(⨵≀≌$4771$)⪛($1073$∲⫓$1751$)⇼⇔∾(∥⊫(⨵≀≌$2680$))","expression":"(⨰⫟⨤⊺⇮1726⪮%⊝⊺⇮1860)≹⇙⪍(↽≂(⊺⇮1537⨳⩥⨓⊺⇮5512))⨵⪆(⨵≀≌⊺⇮4771)⪛(⊺⇮1073∲⫓⊺⇮1751)⇼⇔∾(∥⊫(⨵≀≌⊺⇮2680))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":14266,"operation_count":12,"complexity_ratio":1188.8333333333333,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1726,"base":10},"right_expr":{"type":"numeric_atoms","value":1860,"base":10}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1537,"base":10},"right_expr":{"type":"numeric_atoms","value":5512,"base":10}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":4771,"base":10}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1073,"base":10},"right_expr":{"type":"numeric_atoms","value":1751,"base":10}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":2680,"base":10}}}}},"used_operators":["2DQ55sFlQl","AHs5Up7iyr","Tw270M8GLb","IWmyXbctLI","u6S6b8DprG","nCS4ZIUYfx","tifHPKVTfV","uFcxV4UQCh","srAu1WTS94","i8ToyICDmI","P8v4zCKN1o"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮160","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1726","layer":4},{"info":"number node, value=1860","layer":4},{"info":"compute binary expreesion, left_input=1726, right_input=1860, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3768","layer":3},{"info":"compute unary expreesion, input=3768, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=1537","layer":4},{"info":"number node, value=5512","layer":4},{"info":"compute binary expreesion, left_input=1537, right_input=5512, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=3975","layer":3},{"info":"compute unary expreesion, input=3975, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-7950","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-7950, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=4771","layer":4},{"info":"compute unary expreesion, input=4771, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-14313","layer":3},{"info":"number node, value=1073","layer":4},{"info":"number node, value=1751","layer":4},{"info":"compute binary expreesion, left_input=1073, right_input=1751, 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=-14313, 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=2680","layer":4},{"info":"compute unary expreesion, input=2680, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-8040","layer":3},{"info":"compute unary expreesion, input=-8040, 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=nan, right_input=-55, 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 = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":10,"result_base":10,"text":"(⨰⫟⨤⊺⇮1726⪮%⊝⊺⇮1860)≹⇙⪍(↽≂(⊺⇮1537⨳⩥⨓⊺⇮5512))⨵⪆(⨵≀≌⊺⇮4771)⪛(⊺⇮1073∲⫓⊺⇮1751)⇼⇔∾(∥⊫(⨵≀≌⊺⇮2680))=⊺⇮160","reverse_text":"⊺⇮160=(⨰⫟⨤⊺⇮1726⪮%⊝⊺⇮1860)≹⇙⪍(↽≂(⊺⇮1537⨳⩥⨓⊺⇮5512))⨵⪆(⨵≀≌⊺⇮4771)⪛(⊺⇮1073∲⫓⊺⇮1751)⇼⇔∾(∥⊫(⨵≀≌⊺⇮2680))","cot":[{"info":"⊺⇮1726⪮%⊝⊺⇮1860=⊺⇮3768","layer":3},{"info":"⨰⫟⨤⊺⇮3768=NaN","layer":2},{"info":"⊺⇮1537⨳⩥⨓⊺⇮5512=⊺⇮3975","layer":3},{"info":"↽≂⊺⇮3975=⊺⇮-7950","layer":2},{"info":"NaN≹⇙⪍⊺⇮-7950=NaN","layer":1},{"info":"⨵≀≌⊺⇮4771=⊺⇮-14313","layer":3},{"info":"⊺⇮1073∲⫓⊺⇮1751=⊺⇮0","layer":3},{"info":"⊺⇮-14313⪛⊺⇮0=NaN","layer":2},{"info":"⨵≀≌⊺⇮2680=⊺⇮-8040","layer":3},{"info":"∥⊫⊺⇮-8040=⊺⇮-55","layer":2},{"info":"NaN⇼⇔∾⊺⇮-55=NaN","layer":1},{"info":"NaN⨵⪆NaN=⊺⇮160","layer":0}]}
{"id":968,"expression_no_base_symbol":"(⪲⇎($5184$⪮%⊝$3917$⨳⩥⨓$1278$⩷∴$1137$))⇷(($2928$/$6206$)⨐⩸⫘($2711$*$1383$))≹⇙⪍($4735$⋳⪒$1581$⫡⨏$1558$⇷$1790$)","expression":"(⪲⇎(⊺⇮5184⪮%⊝⊺⇮3917⨳⩥⨓⊺⇮1278⩷∴⊺⇮1137))⇷((⊺⇮2928/⊺⇮6206)⨐⩸⫘(⊺⇮2711*⊺⇮1383))≹⇙⪍(⊺⇮4735⋳⪒⊺⇮1581⫡⨏⊺⇮1558⇷⊺⇮1790)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":315396,"operation_count":12,"complexity_ratio":26283.0,"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":5184,"base":10},"right_expr":{"type":"numeric_atoms","value":3917,"base":10}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1278,"base":10},"right_expr":{"type":"numeric_atoms","value":1137,"base":10}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2928,"base":10},"right_expr":{"type":"numeric_atoms","value":6206,"base":10}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2711,"base":10},"right_expr":{"type":"numeric_atoms","value":1383,"base":10}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":4735,"base":10},"right_expr":{"type":"numeric_atoms","value":1581,"base":10}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1558,"base":10},"right_expr":{"type":"numeric_atoms","value":1790,"base":10}}}}},"used_operators":["mp7IySMOzn","XPYlsWDdGa","nCS4ZIUYfx","IWmyXbctLI","9FxExcQeMw","AHs5Up7iyr","fu6greOZ01","XhwjNDsVaA","9HNa5Wba9A","QMFrweE19q","12rbrZMWeM"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","dWAJyo7jo9","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5184","layer":4},{"info":"number node, value=3917","layer":4},{"info":"compute binary expreesion, left_input=5184, right_input=3917, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=10684","layer":3},{"info":"number node, value=1278","layer":4},{"info":"number node, value=1137","layer":4},{"info":"compute binary expreesion, left_input=1278, right_input=1137, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=250","layer":3},{"info":"compute binary expreesion, left_input=10684, right_input=250, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-10434","layer":2},{"info":"compute unary expreesion, input=-10434, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-20868","layer":1},{"info":"number node, value=2928","layer":4},{"info":"number node, value=6206","layer":4},{"info":"compute binary expreesion, left_input=2928, right_input=6206, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=2711","layer":4},{"info":"number node, value=1383","layer":4},{"info":"compute binary expreesion, left_input=2711, right_input=1383, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3749313","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3749313, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=4735","layer":4},{"info":"number node, value=1581","layer":4},{"info":"compute binary expreesion, left_input=4735, right_input=1581, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=7602","layer":3},{"info":"number node, value=1558","layer":4},{"info":"number node, value=1790","layer":4},{"info":"compute binary expreesion, left_input=1558, right_input=1790, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3580","layer":3},{"info":"compute binary expreesion, left_input=7602, right_input=3580, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=45953","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=45953, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=-20868, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⪲⇎(⊺⇮5184⪮%⊝⊺⇮3917⨳⩥⨓⊺⇮1278⩷∴⊺⇮1137))⇷((⊺⇮2928/⊺⇮6206)⨐⩸⫘(⊺⇮2711*⊺⇮1383))≹⇙⪍(⊺⇮4735⋳⪒⊺⇮1581⫡⨏⊺⇮1558⇷⊺⇮1790)=NaN","reverse_text":"NaN=(⪲⇎(⊺⇮5184⪮%⊝⊺⇮3917⨳⩥⨓⊺⇮1278⩷∴⊺⇮1137))⇷((⊺⇮2928/⊺⇮6206)⨐⩸⫘(⊺⇮2711*⊺⇮1383))≹⇙⪍(⊺⇮4735⋳⪒⊺⇮1581⫡⨏⊺⇮1558⇷⊺⇮1790)","cot":[{"info":"⊺⇮5184⪮%⊝⊺⇮3917=⊺⇮10684","layer":3},{"info":"⊺⇮1278⩷∴⊺⇮1137=⊺⇮250","layer":3},{"info":"⊺⇮10684⨳⩥⨓⊺⇮250=⊺⇮-10434","layer":2},{"info":"⪲⇎⊺⇮-10434=⊺⇮-20868","layer":1},{"info":"⊺⇮2928/⊺⇮6206=⊺⇮0","layer":3},{"info":"⊺⇮2711*⊺⇮1383=⊺⇮3749313","layer":3},{"info":"⊺⇮0⨐⩸⫘⊺⇮3749313=NaN","layer":2},{"info":"⊺⇮4735⋳⪒⊺⇮1581=⊺⇮7602","layer":3},{"info":"⊺⇮1558⇷⊺⇮1790=⊺⇮3580","layer":3},{"info":"⊺⇮7602⫡⨏⊺⇮3580=⊺⇮45953","layer":2},{"info":"NaN≹⇙⪍⊺⇮45953=NaN","layer":1},{"info":"⊺⇮-20868⇷NaN=NaN","layer":0}]}
{"id":969,"expression_no_base_symbol":"⨑⩽⪐($2208$⇷$3036$⨸⪁$4477$⨰$3241$)⇷($4950$+$5055$)≹⇙⪍($3618$*$2434$)","expression":"⨑⩽⪐(⊺⇮2208⇷⊺⇮3036⨸⪁⊺⇮4477⨰⊺⇮3241)⇷(⊺⇮4950+⊺⇮5055)≹⇙⪍(⊺⇮3618*⊺⇮2434)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":238280,"operation_count":8,"complexity_ratio":29785.0,"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":2208,"base":10},"right_expr":{"type":"numeric_atoms","value":3036,"base":10}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4477,"base":10},"right_expr":{"type":"numeric_atoms","value":3241,"base":10}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":4950,"base":10},"right_expr":{"type":"numeric_atoms","value":5055,"base":10}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3618,"base":10},"right_expr":{"type":"numeric_atoms","value":2434,"base":10}}}}},"used_operators":["AF7qkfDlqP","mp7IySMOzn","g55IO6H4Gj","eewbuw0ToL","AHs5Up7iyr","W4YGzv6Whe","9HNa5Wba9A"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2208","layer":4},{"info":"number node, value=3036","layer":4},{"info":"compute binary expreesion, left_input=2208, right_input=3036, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6072","layer":3},{"info":"number node, value=4477","layer":4},{"info":"number node, value=3241","layer":4},{"info":"compute binary expreesion, left_input=4477, right_input=3241, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1246","layer":3},{"info":"compute binary expreesion, left_input=6072, right_input=1246, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=14636","layer":2},{"info":"number node, value=4950","layer":4},{"info":"number node, value=5055","layer":4},{"info":"compute binary expreesion, left_input=4950, right_input=5055, op_id = W4YGzv6Whe binary_op_definition= 'None', output=10005","layer":3},{"info":"number node, value=3618","layer":4},{"info":"number node, value=2434","layer":4},{"info":"compute binary expreesion, left_input=3618, right_input=2434, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=8806212","layer":3},{"info":"compute binary expreesion, left_input=10005, right_input=8806212, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=14636, 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 = 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":10,"result_base":10,"text":"⨑⩽⪐(⊺⇮2208⇷⊺⇮3036⨸⪁⊺⇮4477⨰⊺⇮3241)⇷(⊺⇮4950+⊺⇮5055)≹⇙⪍(⊺⇮3618*⊺⇮2434)=NaN","reverse_text":"NaN=⨑⩽⪐(⊺⇮2208⇷⊺⇮3036⨸⪁⊺⇮4477⨰⊺⇮3241)⇷(⊺⇮4950+⊺⇮5055)≹⇙⪍(⊺⇮3618*⊺⇮2434)","cot":[{"info":"⊺⇮2208⇷⊺⇮3036=⊺⇮6072","layer":3},{"info":"⊺⇮4477⨰⊺⇮3241=⊺⇮1246","layer":3},{"info":"⊺⇮6072⨸⪁⊺⇮1246=⊺⇮14636","layer":2},{"info":"⊺⇮4950+⊺⇮5055=⊺⇮10005","layer":3},{"info":"⊺⇮3618*⊺⇮2434=⊺⇮8806212","layer":3},{"info":"⊺⇮10005≹⇙⪍⊺⇮8806212=NaN","layer":2},{"info":"⊺⇮14636⇷NaN=NaN","layer":1},{"info":"⨑⩽⪐NaN=NaN","layer":0}]}
{"id":970,"expression_no_base_symbol":"((↥$3981$)⪄(⊄⩳↩$1808$))⫥∨⫟(($4301$+$1792$)⪄$6175$⪄$1267$)⪠⩆⊳","expression":"((↥⊺⇮3981)⪄(⊄⩳↩⊺⇮1808))⫥∨⫟((⊺⇮4301+⊺⇮1792)⪄⊺⇮6175⪄⊺⇮1267)⪠⩆⊳","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":456,"operation_count":8,"complexity_ratio":57.0,"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":3981,"base":10}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1808,"base":10}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":4301,"base":10},"right_expr":{"type":"numeric_atoms","value":1792,"base":10}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":6175,"base":10},"right_expr":{"type":"numeric_atoms","value":1267,"base":10}}}}},"used_operators":["JLbD19bQDL","KYD54nUTWz","SUmda5xLS4","A8NUZmVepG","8w2t5hMYqp","W4YGzv6Whe"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3981","layer":4},{"info":"compute unary expreesion, input=3981, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=3","layer":3},{"info":"number node, value=1808","layer":4},{"info":"compute unary expreesion, input=1808, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-5424","layer":3},{"info":"compute binary expreesion, left_input=3, right_input=-5424, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=25163","layer":2},{"info":"number node, value=4301","layer":4},{"info":"number node, value=1792","layer":4},{"info":"compute binary expreesion, left_input=4301, right_input=1792, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6093","layer":3},{"info":"number node, value=6175","layer":4},{"info":"number node, value=1267","layer":4},{"info":"compute binary expreesion, left_input=6175, right_input=1267, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-915057","layer":3},{"info":"compute binary expreesion, left_input=6093, right_input=-915057, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=2762375","layer":2},{"info":"compute binary expreesion, left_input=25163, right_input=2762375, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽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":10,"result_base":10,"text":"((↥⊺⇮3981)⪄(⊄⩳↩⊺⇮1808))⫥∨⫟((⊺⇮4301+⊺⇮1792)⪄⊺⇮6175⪄⊺⇮1267)⪠⩆⊳=NaN","reverse_text":"NaN=((↥⊺⇮3981)⪄(⊄⩳↩⊺⇮1808))⫥∨⫟((⊺⇮4301+⊺⇮1792)⪄⊺⇮6175⪄⊺⇮1267)⪠⩆⊳","cot":[{"info":"↥⊺⇮3981=⊺⇮3","layer":3},{"info":"⊄⩳↩⊺⇮1808=⊺⇮-5424","layer":3},{"info":"⊺⇮3⪄⊺⇮-5424=⊺⇮25163","layer":2},{"info":"⊺⇮4301+⊺⇮1792=⊺⇮6093","layer":3},{"info":"⊺⇮6175⪄⊺⇮1267=⊺⇮-915057","layer":3},{"info":"⊺⇮6093⪄⊺⇮-915057=⊺⇮2762375","layer":2},{"info":"⊺⇮25163⫥∨⫟⊺⇮2762375=NaN","layer":1},{"info":"NaN⪠⩆⊳=NaN","layer":0}]}
{"id":971,"expression_no_base_symbol":"⨵≀≌($5387$⨓$1067$)⇷(-$2140$)∑⇟⊟($1390$⩨$1032$⪨≂$5227$⪢$1269$)","expression":"⨵≀≌(⊺⇮5387⨓⊺⇮1067)⇷(-⊺⇮2140)∑⇟⊟(⊺⇮1390⩨⊺⇮1032⪨≂⊺⇮5227⪢⊺⇮1269)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":25547,"operation_count":8,"complexity_ratio":3193.375,"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":5387,"base":10},"right_expr":{"type":"numeric_atoms","value":1067,"base":10}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":2140,"base":10}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1390,"base":10},"right_expr":{"type":"numeric_atoms","value":1032,"base":10}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":5227,"base":10},"right_expr":{"type":"numeric_atoms","value":1269,"base":10}}}}},"used_operators":["srAu1WTS94","U7g4x0WXJJ","mp7IySMOzn","3ViojmjbAp","t8gj7n24qd","sdazOOVcIp","2DlMacCsIx","dWAJyo7jo9"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5387","layer":4},{"info":"number node, value=1067","layer":4},{"info":"compute binary expreesion, left_input=5387, right_input=1067, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1070","layer":3},{"info":"number node, value=2140","layer":4},{"info":"compute unary expreesion, input=2140, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2140","layer":3},{"info":"compute binary expreesion, left_input=-1070, right_input=-2140, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"number node, value=1390","layer":4},{"info":"number node, value=1032","layer":4},{"info":"compute binary expreesion, left_input=1390, right_input=1032, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=5227","layer":4},{"info":"number node, value=1269","layer":4},{"info":"compute binary expreesion, left_input=5227, right_input=1269, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = 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 = 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 = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⨵≀≌(⊺⇮5387⨓⊺⇮1067)⇷(-⊺⇮2140)∑⇟⊟(⊺⇮1390⩨⊺⇮1032⪨≂⊺⇮5227⪢⊺⇮1269)=NaN","reverse_text":"NaN=⨵≀≌(⊺⇮5387⨓⊺⇮1067)⇷(-⊺⇮2140)∑⇟⊟(⊺⇮1390⩨⊺⇮1032⪨≂⊺⇮5227⪢⊺⇮1269)","cot":[{"info":"⊺⇮5387⨓⊺⇮1067=⊺⇮-1070","layer":3},{"info":"-⊺⇮2140=⊺⇮-2140","layer":3},{"info":"⊺⇮-1070⇷⊺⇮-2140=NaN","layer":2},{"info":"⊺⇮1390⩨⊺⇮1032=⊺⇮0","layer":3},{"info":"⊺⇮5227⪢⊺⇮1269=NaN","layer":3},{"info":"⊺⇮0⪨≂NaN=NaN","layer":2},{"info":"NaN∑⇟⊟NaN=NaN","layer":1},{"info":"⨵≀≌NaN=NaN","layer":0}]}
{"id":972,"expression_no_base_symbol":"((($1791$⊭∹↮)⊭∹↮)↺(⩦⩻⨪(⪝⪂⫅$2453$)))⨪↰⇹($1587$⨓$5558$⨐⩸⫘$6754$⩷∴$1855$⫡⨏(⪲⇎($2297$↪⪝)))","expression":"(((⊺⇮1791⊭∹↮)⊭∹↮)↺(⩦⩻⨪(⪝⪂⫅⊺⇮2453)))⨪↰⇹(⊺⇮1587⨓⊺⇮5558⨐⩸⫘⊺⇮6754⩷∴⊺⇮1855⫡⨏(⪲⇎(⊺⇮2297↪⪝)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":367038,"operation_count":12,"complexity_ratio":30586.5,"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":1791,"base":10}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":2453,"base":10}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1587,"base":10},"right_expr":{"type":"numeric_atoms","value":5558,"base":10}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":6754,"base":10},"right_expr":{"type":"numeric_atoms","value":1855,"base":10}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":2297,"base":10}}}}},"used_operators":["tmPS8pqC7x","7j4O788W3g","xNBdhnnwKq","2td37pGCOC","XTarYq4gQB","QMFrweE19q","fu6greOZ01","3ViojmjbAp","9FxExcQeMw","XPYlsWDdGa","l07mrZUIn9"],"dependent_operators":["rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0"],"result":"⊺⇮360591","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1791","layer":4},{"info":"compute unary expreesion, input=1791, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=3582","layer":3},{"info":"compute unary expreesion, input=3582, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=7164","layer":2},{"info":"number node, value=2453","layer":4},{"info":"compute unary expreesion, input=2453, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-360591","layer":3},{"info":"compute unary expreesion, input=-360591, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-360591","layer":2},{"info":"compute binary expreesion, left_input=7164, right_input=-360591, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-360591","layer":1},{"info":"number node, value=1587","layer":4},{"info":"number node, value=5558","layer":4},{"info":"compute binary expreesion, left_input=1587, right_input=5558, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5561","layer":3},{"info":"number node, value=6754","layer":4},{"info":"number node, value=1855","layer":4},{"info":"compute binary expreesion, left_input=6754, right_input=1855, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=9766","layer":3},{"info":"compute binary expreesion, left_input=-5561, right_input=9766, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=2297","layer":4},{"info":"compute unary expreesion, input=2297, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=140535054","layer":3},{"info":"compute unary expreesion, input=140535054, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=281070108","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=281070108, op_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=-360591, 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=360591","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮1791⊭∹↮)⊭∹↮)↺(⩦⩻⨪(⪝⪂⫅⊺⇮2453)))⨪↰⇹(⊺⇮1587⨓⊺⇮5558⨐⩸⫘⊺⇮6754⩷∴⊺⇮1855⫡⨏(⪲⇎(⊺⇮2297↪⪝)))=⊺⇮360591","reverse_text":"⊺⇮360591=(((⊺⇮1791⊭∹↮)⊭∹↮)↺(⩦⩻⨪(⪝⪂⫅⊺⇮2453)))⨪↰⇹(⊺⇮1587⨓⊺⇮5558⨐⩸⫘⊺⇮6754⩷∴⊺⇮1855⫡⨏(⪲⇎(⊺⇮2297↪⪝)))","cot":[{"info":"⊺⇮1791⊭∹↮=⊺⇮3582","layer":3},{"info":"⊺⇮3582⊭∹↮=⊺⇮7164","layer":2},{"info":"⪝⪂⫅⊺⇮2453=⊺⇮-360591","layer":3},{"info":"⩦⩻⨪⊺⇮-360591=⊺⇮-360591","layer":2},{"info":"⊺⇮7164↺⊺⇮-360591=⊺⇮-360591","layer":1},{"info":"⊺⇮1587⨓⊺⇮5558=⊺⇮-5561","layer":3},{"info":"⊺⇮6754⩷∴⊺⇮1855=⊺⇮9766","layer":3},{"info":"⊺⇮-5561⨐⩸⫘⊺⇮9766=NaN","layer":2},{"info":"⊺⇮2297↪⪝=⊺⇮140535054","layer":3},{"info":"⪲⇎⊺⇮140535054=⊺⇮281070108","layer":2},{"info":"NaN⫡⨏⊺⇮281070108=NaN","layer":1},{"info":"⊺⇮-360591⨪↰⇹NaN=⊺⇮360591","layer":0}]}
{"id":973,"expression_no_base_symbol":"((⊙↵-$3943$)⪮%⊝($1240$⇼⇔∾$3933$)+(⋗⩬⋾$4780$⪮%⊝$5460$))⨐⩸⫘(($4107$⪒$6346$)⨎($4195$⫥∨⫟$3927$))≧⫂∧($4524$⋓$6960$⋫)","expression":"((⊙↵-⊺⇮3943)⪮%⊝(⊺⇮1240⇼⇔∾⊺⇮3933)+(⋗⩬⋾⊺⇮4780⪮%⊝⊺⇮5460))⨐⩸⫘((⊺⇮4107⪒⊺⇮6346)⨎(⊺⇮4195⫥∨⫟⊺⇮3927))≧⫂∧(⊺⇮4524⋓⊺⇮6960⋫)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":230753,"operation_count":13,"complexity_ratio":17750.23076923077,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":3943,"base":10}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1240,"base":10},"right_expr":{"type":"numeric_atoms","value":3933,"base":10}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4780,"base":10},"right_expr":{"type":"numeric_atoms","value":5460,"base":10}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":4107,"base":10},"right_expr":{"type":"numeric_atoms","value":6346,"base":10}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":4195,"base":10},"right_expr":{"type":"numeric_atoms","value":3927,"base":10}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4524,"base":10},"right_expr":{"type":"numeric_atoms","value":6960,"base":10}}}}},"used_operators":["fu6greOZ01","W4YGzv6Whe","IWmyXbctLI","oWn0xqSxBt","tifHPKVTfV","DpFCA1CohY","Ph9nP6C5qx","rJVOvQCfKK","f6k1SAg4EE","KYD54nUTWz","JL8yIekQnl","T2fj7uvVaJ"],"dependent_operators":["3ViojmjbAp","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","tmPS8pqC7x","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⊺⇮476","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3943","layer":4},{"info":"compute unary expreesion, input=3943, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=1240","layer":4},{"info":"number node, value=3933","layer":4},{"info":"compute binary expreesion, left_input=1240, right_input=3933, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=2693","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=2693, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=314","layer":2},{"info":"number node, value=4780","layer":4},{"info":"number node, value=5460","layer":4},{"info":"compute binary expreesion, left_input=4780, right_input=5460, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=9876","layer":3},{"info":"compute unary expreesion, input=9876, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-29628","layer":2},{"info":"compute binary expreesion, left_input=314, right_input=-29628, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-29314","layer":1},{"info":"number node, value=4107","layer":4},{"info":"number node, value=6346","layer":4},{"info":"compute binary expreesion, left_input=4107, right_input=6346, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-10453","layer":3},{"info":"number node, value=4195","layer":4},{"info":"number node, value=3927","layer":4},{"info":"compute binary expreesion, left_input=4195, right_input=3927, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-10453, 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=4524","layer":4},{"info":"number node, value=6960","layer":4},{"info":"compute binary expreesion, left_input=4524, right_input=6960, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-473","layer":1},{"info":"compute binary expreesion, left_input=-29314, right_input=-473, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=476","layer":0}],"base":10,"result_base":10,"text":"((⊙↵-⊺⇮3943)⪮%⊝(⊺⇮1240⇼⇔∾⊺⇮3933)+(⋗⩬⋾⊺⇮4780⪮%⊝⊺⇮5460))⨐⩸⫘((⊺⇮4107⪒⊺⇮6346)⨎(⊺⇮4195⫥∨⫟⊺⇮3927))≧⫂∧(⊺⇮4524⋓⊺⇮6960⋫)=⊺⇮476","reverse_text":"⊺⇮476=((⊙↵-⊺⇮3943)⪮%⊝(⊺⇮1240⇼⇔∾⊺⇮3933)+(⋗⩬⋾⊺⇮4780⪮%⊝⊺⇮5460))⨐⩸⫘((⊺⇮4107⪒⊺⇮6346)⨎(⊺⇮4195⫥∨⫟⊺⇮3927))≧⫂∧(⊺⇮4524⋓⊺⇮6960⋫)","cot":[{"info":"⊙↵-⊺⇮3943=⊺⇮-1","layer":3},{"info":"⊺⇮1240⇼⇔∾⊺⇮3933=⊺⇮2693","layer":3},{"info":"⊺⇮-1⪮%⊝⊺⇮2693=⊺⇮314","layer":2},{"info":"⊺⇮4780⪮%⊝⊺⇮5460=⊺⇮9876","layer":3},{"info":"⋗⩬⋾⊺⇮9876=⊺⇮-29628","layer":2},{"info":"⊺⇮314+⊺⇮-29628=⊺⇮-29314","layer":1},{"info":"⊺⇮4107⪒⊺⇮6346=⊺⇮-10453","layer":3},{"info":"⊺⇮4195⫥∨⫟⊺⇮3927=NaN","layer":3},{"info":"⊺⇮-10453⨎NaN=NaN","layer":2},{"info":"⊺⇮4524⋓⊺⇮6960=⊺⇮0","layer":3},{"info":"⊺⇮0⋫=⊺⇮0","layer":2},{"info":"NaN≧⫂∧⊺⇮0=⊺⇮-473","layer":1},{"info":"⊺⇮-29314⨐⩸⫘⊺⇮-473=⊺⇮476","layer":0}]}
{"id":974,"expression_no_base_symbol":"(⊙↵-$2515$⪢$1200$)⊴((≦∁$2719$)⇷($4680$⫌⩹⨱))⩷∴((⨑⩽⪐$4928$⋝⋈⪟$2644$)⋥≓≎($2610$≹⇙⪍$1066$*$7042$∼$2518$))","expression":"(⊙↵-⊺⇮2515⪢⊺⇮1200)⊴((≦∁⊺⇮2719)⇷(⊺⇮4680⫌⩹⨱))⩷∴((⨑⩽⪐⊺⇮4928⋝⋈⪟⊺⇮2644)⋥≓≎(⊺⇮2610≹⇙⪍⊺⇮1066*⊺⇮7042∼⊺⇮2518))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":61955,"operation_count":13,"complexity_ratio":4765.7692307692305,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2515,"base":10},"right_expr":{"type":"numeric_atoms","value":1200,"base":10}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2719,"base":10}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":4680,"base":10}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4928,"base":10},"right_expr":{"type":"numeric_atoms","value":2644,"base":10}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2610,"base":10},"right_expr":{"type":"numeric_atoms","value":1066,"base":10}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":7042,"base":10},"right_expr":{"type":"numeric_atoms","value":2518,"base":10}}}}},"used_operators":["9FxExcQeMw","Nsiff2A1zJ","oWn0xqSxBt","dWAJyo7jo9","mp7IySMOzn","9ICcGScMcE","EBcxylXtPf","Qy55tPpLXF","AF7qkfDlqP","2DDjHMKMc0","9HNa5Wba9A","AHs5Up7iyr","DyGG3AbaNP"],"dependent_operators":["rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","k8jYdgA6NY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2515","layer":4},{"info":"number node, value=1200","layer":4},{"info":"compute binary expreesion, left_input=2515, right_input=1200, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":2},{"info":"number node, value=2719","layer":4},{"info":"compute unary expreesion, input=2719, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2719","layer":3},{"info":"number node, value=4680","layer":4},{"info":"compute unary expreesion, input=4680, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=10761","layer":3},{"info":"compute binary expreesion, left_input=2719, right_input=10761, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=21522","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=21522, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=4928","layer":4},{"info":"number node, value=2644","layer":4},{"info":"compute binary expreesion, left_input=4928, right_input=2644, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4928","layer":3},{"info":"compute unary expreesion, input=4928, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-4655","layer":2},{"info":"number node, value=2610","layer":4},{"info":"number node, value=1066","layer":4},{"info":"compute binary expreesion, left_input=2610, right_input=1066, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=7042","layer":4},{"info":"number node, value=2518","layer":4},{"info":"compute binary expreesion, left_input=7042, 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=nan, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-4655, 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 = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊙↵-⊺⇮2515⪢⊺⇮1200)⊴((≦∁⊺⇮2719)⇷(⊺⇮4680⫌⩹⨱))⩷∴((⨑⩽⪐⊺⇮4928⋝⋈⪟⊺⇮2644)⋥≓≎(⊺⇮2610≹⇙⪍⊺⇮1066*⊺⇮7042∼⊺⇮2518))=NaN","reverse_text":"NaN=(⊙↵-⊺⇮2515⪢⊺⇮1200)⊴((≦∁⊺⇮2719)⇷(⊺⇮4680⫌⩹⨱))⩷∴((⨑⩽⪐⊺⇮4928⋝⋈⪟⊺⇮2644)⋥≓≎(⊺⇮2610≹⇙⪍⊺⇮1066*⊺⇮7042∼⊺⇮2518))","cot":[{"info":"⊺⇮2515⪢⊺⇮1200=NaN","layer":3},{"info":"⊙↵-NaN=NaN","layer":2},{"info":"≦∁⊺⇮2719=⊺⇮2719","layer":3},{"info":"⊺⇮4680⫌⩹⨱=⊺⇮10761","layer":3},{"info":"⊺⇮2719⇷⊺⇮10761=⊺⇮21522","layer":2},{"info":"NaN⊴⊺⇮21522=NaN","layer":1},{"info":"⊺⇮4928⋝⋈⪟⊺⇮2644=⊺⇮4928","layer":3},{"info":"⨑⩽⪐⊺⇮4928=⊺⇮-4655","layer":2},{"info":"⊺⇮2610≹⇙⪍⊺⇮1066=NaN","layer":3},{"info":"⊺⇮7042∼⊺⇮2518=NaN","layer":3},{"info":"NaN*NaN=NaN","layer":2},{"info":"⊺⇮-4655⋥≓≎NaN=⊺⇮67","layer":1},{"info":"NaN⩷∴⊺⇮67=NaN","layer":0}]}
{"id":975,"expression_no_base_symbol":"(($1795$*$2656$)≎⊠⪸($7103$⫥∨⫟$6328$)⪨≂($3856$↺$3252$)⨎($3208$⨐⩸⫘$2725$))⇷(($3911$⫩⊇)⪘⫢($3017$⩷∴$1153$)⊭↱(($4367$⪄$3640$)≣⋋))","expression":"((⊺⇮1795*⊺⇮2656)≎⊠⪸(⊺⇮7103⫥∨⫟⊺⇮6328)⪨≂(⊺⇮3856↺⊺⇮3252)⨎(⊺⇮3208⨐⩸⫘⊺⇮2725))⇷((⊺⇮3911⫩⊇)⪘⫢(⊺⇮3017⩷∴⊺⇮1153)⊭↱((⊺⇮4367⪄⊺⇮3640)≣⋋))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2608,"operation_count":14,"complexity_ratio":186.28571428571428,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1795,"base":10},"right_expr":{"type":"numeric_atoms","value":2656,"base":10}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":7103,"base":10},"right_expr":{"type":"numeric_atoms","value":6328,"base":10}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3856,"base":10},"right_expr":{"type":"numeric_atoms","value":3252,"base":10}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3208,"base":10},"right_expr":{"type":"numeric_atoms","value":2725,"base":10}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":3911,"base":10}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3017,"base":10},"right_expr":{"type":"numeric_atoms","value":1153,"base":10}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4367,"base":10},"right_expr":{"type":"numeric_atoms","value":3640,"base":10}}}}},"used_operators":["mp7IySMOzn","sdazOOVcIp","bJkvcejdHO","9HNa5Wba9A","KYD54nUTWz","rJVOvQCfKK","7j4O788W3g","fu6greOZ01","COABgblf1C","oacrs7FA3X","BjRHVeLaeN","9FxExcQeMw","Tcnh7f0tEr","SUmda5xLS4"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"⊺⇮14","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1795","layer":4},{"info":"number node, value=2656","layer":4},{"info":"compute binary expreesion, left_input=1795, right_input=2656, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4767520","layer":3},{"info":"number node, value=7103","layer":4},{"info":"number node, value=6328","layer":4},{"info":"compute binary expreesion, left_input=7103, right_input=6328, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4767520, 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=3856","layer":4},{"info":"number node, value=3252","layer":4},{"info":"compute binary expreesion, left_input=3856, right_input=3252, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3252","layer":3},{"info":"number node, value=3208","layer":4},{"info":"number node, value=2725","layer":4},{"info":"compute binary expreesion, left_input=3208, right_input=2725, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=3252, 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=67, 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=3911","layer":4},{"info":"compute unary expreesion, input=3911, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-3869","layer":3},{"info":"number node, value=3017","layer":4},{"info":"number node, value=1153","layer":4},{"info":"compute binary expreesion, left_input=3017, right_input=1153, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=3696","layer":3},{"info":"compute binary expreesion, left_input=-3869, right_input=3696, 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=4367","layer":4},{"info":"number node, value=3640","layer":4},{"info":"compute binary expreesion, left_input=4367, right_input=3640, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-656965","layer":3},{"info":"compute unary expreesion, input=-656965, 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=-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 = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=14","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1795*⊺⇮2656)≎⊠⪸(⊺⇮7103⫥∨⫟⊺⇮6328)⪨≂(⊺⇮3856↺⊺⇮3252)⨎(⊺⇮3208⨐⩸⫘⊺⇮2725))⇷((⊺⇮3911⫩⊇)⪘⫢(⊺⇮3017⩷∴⊺⇮1153)⊭↱((⊺⇮4367⪄⊺⇮3640)≣⋋))=⊺⇮14","reverse_text":"⊺⇮14=((⊺⇮1795*⊺⇮2656)≎⊠⪸(⊺⇮7103⫥∨⫟⊺⇮6328)⪨≂(⊺⇮3856↺⊺⇮3252)⨎(⊺⇮3208⨐⩸⫘⊺⇮2725))⇷((⊺⇮3911⫩⊇)⪘⫢(⊺⇮3017⩷∴⊺⇮1153)⊭↱((⊺⇮4367⪄⊺⇮3640)≣⋋))","cot":[{"info":"⊺⇮1795*⊺⇮2656=⊺⇮4767520","layer":3},{"info":"⊺⇮7103⫥∨⫟⊺⇮6328=NaN","layer":3},{"info":"⊺⇮4767520≎⊠⪸NaN=⊺⇮67","layer":2},{"info":"⊺⇮3856↺⊺⇮3252=⊺⇮3252","layer":3},{"info":"⊺⇮3208⨐⩸⫘⊺⇮2725=NaN","layer":3},{"info":"⊺⇮3252⨎NaN=NaN","layer":2},{"info":"⊺⇮67⪨≂NaN=NaN","layer":1},{"info":"⊺⇮3911⫩⊇=⊺⇮-3869","layer":3},{"info":"⊺⇮3017⩷∴⊺⇮1153=⊺⇮3696","layer":3},{"info":"⊺⇮-3869⪘⫢⊺⇮3696=⊺⇮-1","layer":2},{"info":"⊺⇮4367⪄⊺⇮3640=⊺⇮-656965","layer":3},{"info":"⊺⇮-656965≣⋋=⊺⇮0","layer":2},{"info":"⊺⇮-1⊭↱⊺⇮0=⊺⇮7","layer":1},{"info":"NaN⇷⊺⇮7=⊺⇮14","layer":0}]}
{"id":976,"expression_no_base_symbol":"(⨈⫕(⇁⨣⪵(⪲⇎$1666$)))-($2663$∀⇚≩$2593$⪒$1182$≭$3548$)⫥∨⫟($3604$⋳⪒$3689$⫥∨⫟$6961$⇷$3281$)","expression":"(⨈⫕(⇁⨣⪵(⪲⇎⊺⇮1666)))-(⊺⇮2663∀⇚≩⊺⇮2593⪒⊺⇮1182≭⊺⇮3548)⫥∨⫟(⊺⇮3604⋳⪒⊺⇮3689⫥∨⫟⊺⇮6961⇷⊺⇮3281)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":116810,"operation_count":11,"complexity_ratio":10619.09090909091,"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":1666,"base":10}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2663,"base":10},"right_expr":{"type":"numeric_atoms","value":2593,"base":10}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1182,"base":10},"right_expr":{"type":"numeric_atoms","value":3548,"base":10}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3604,"base":10},"right_expr":{"type":"numeric_atoms","value":3689,"base":10}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":6961,"base":10},"right_expr":{"type":"numeric_atoms","value":3281,"base":10}}}}},"used_operators":["rysDP5nf3Z","megm06wKyl","inkyxCbjAn","XPYlsWDdGa","KYD54nUTWz","f6k1SAg4EE","LRNGc0VcxI","rxpJgHHUmx","12rbrZMWeM","mp7IySMOzn"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","B5M0gjZbta","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=1666","layer":4},{"info":"compute unary expreesion, input=1666, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3332","layer":3},{"info":"compute unary expreesion, input=3332, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬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=2663","layer":4},{"info":"number node, value=2593","layer":4},{"info":"compute binary expreesion, left_input=2663, right_input=2593, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1182","layer":4},{"info":"number node, value=3548","layer":4},{"info":"compute binary expreesion, left_input=1182, right_input=3548, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=3604","layer":4},{"info":"number node, value=3689","layer":4},{"info":"compute binary expreesion, left_input=3604, right_input=3689, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3232","layer":3},{"info":"number node, value=6961","layer":4},{"info":"number node, value=3281","layer":4},{"info":"compute binary expreesion, left_input=6961, right_input=3281, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6562","layer":3},{"info":"compute binary expreesion, left_input=3232, right_input=6562, 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 = 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 = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⨈⫕(⇁⨣⪵(⪲⇎⊺⇮1666)))-(⊺⇮2663∀⇚≩⊺⇮2593⪒⊺⇮1182≭⊺⇮3548)⫥∨⫟(⊺⇮3604⋳⪒⊺⇮3689⫥∨⫟⊺⇮6961⇷⊺⇮3281)=NaN","reverse_text":"NaN=(⨈⫕(⇁⨣⪵(⪲⇎⊺⇮1666)))-(⊺⇮2663∀⇚≩⊺⇮2593⪒⊺⇮1182≭⊺⇮3548)⫥∨⫟(⊺⇮3604⋳⪒⊺⇮3689⫥∨⫟⊺⇮6961⇷⊺⇮3281)","cot":[{"info":"⪲⇎⊺⇮1666=⊺⇮3332","layer":3},{"info":"⇁⨣⪵⊺⇮3332=NaN","layer":2},{"info":"⨈⫕NaN=⊺⇮-21","layer":1},{"info":"⊺⇮2663∀⇚≩⊺⇮2593=NaN","layer":3},{"info":"⊺⇮1182≭⊺⇮3548=NaN","layer":3},{"info":"NaN⪒NaN=NaN","layer":2},{"info":"⊺⇮3604⋳⪒⊺⇮3689=⊺⇮3232","layer":3},{"info":"⊺⇮6961⇷⊺⇮3281=⊺⇮6562","layer":3},{"info":"⊺⇮3232⫥∨⫟⊺⇮6562=NaN","layer":2},{"info":"NaN⫥∨⫟NaN=NaN","layer":1},{"info":"⊺⇮-21-NaN=NaN","layer":0}]}
{"id":977,"expression_no_base_symbol":"(($8555$⫸⊐$7028$)⨓($3954$⇼⇔∾$1474$)↙(↽≂$1294$⇷$1169$))≧⫂∧(($1581$⩤)⪢($1609$⇋≉)⇼⇔∾($4754$⨳⩥⨓$1807$)∀⇚≩$7718$⪛$4854$)","expression":"((⊺⇮8555⫸⊐⊺⇮7028)⨓(⊺⇮3954⇼⇔∾⊺⇮1474)↙(↽≂⊺⇮1294⇷⊺⇮1169))≧⫂∧((⊺⇮1581⩤)⪢(⊺⇮1609⇋≉)⇼⇔∾(⊺⇮4754⨳⩥⨓⊺⇮1807)∀⇚≩⊺⇮7718⪛⊺⇮4854)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":49933,"operation_count":14,"complexity_ratio":3566.6428571428573,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":8555,"base":10},"right_expr":{"type":"numeric_atoms","value":7028,"base":10}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3954,"base":10},"right_expr":{"type":"numeric_atoms","value":1474,"base":10}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1294,"base":10},"right_expr":{"type":"numeric_atoms","value":1169,"base":10}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1581,"base":10}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1609,"base":10}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4754,"base":10},"right_expr":{"type":"numeric_atoms","value":1807,"base":10}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":7718,"base":10},"right_expr":{"type":"numeric_atoms","value":4854,"base":10}}}}},"used_operators":["Ph9nP6C5qx","yyfyN0ffXY","3ViojmjbAp","mqXw5SEYmG","tifHPKVTfV","u6S6b8DprG","mp7IySMOzn","dWAJyo7jo9","Z2TMIBDE3Q","XIabStNQrY","LRNGc0VcxI","nCS4ZIUYfx","uFcxV4UQCh"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=8555","layer":4},{"info":"number node, value=7028","layer":4},{"info":"compute binary expreesion, left_input=8555, right_input=7028, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=27987","layer":3},{"info":"number node, value=3954","layer":4},{"info":"number node, value=1474","layer":4},{"info":"compute binary expreesion, left_input=3954, right_input=1474, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-2480","layer":3},{"info":"compute binary expreesion, left_input=27987, right_input=-2480, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=2477","layer":2},{"info":"number node, value=1294","layer":4},{"info":"number node, value=1169","layer":4},{"info":"compute binary expreesion, left_input=1294, right_input=1169, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2338","layer":3},{"info":"compute unary expreesion, input=2338, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-4676","layer":2},{"info":"compute binary expreesion, left_input=2477, right_input=-4676, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=14028","layer":1},{"info":"number node, value=1581","layer":4},{"info":"compute unary expreesion, input=1581, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1581","layer":3},{"info":"number node, value=1609","layer":4},{"info":"compute unary expreesion, input=1609, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=3120","layer":3},{"info":"compute binary expreesion, left_input=-1581, right_input=3120, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=4754","layer":4},{"info":"number node, value=1807","layer":4},{"info":"compute binary expreesion, left_input=4754, right_input=1807, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2947","layer":3},{"info":"number node, value=7718","layer":4},{"info":"number node, value=4854","layer":4},{"info":"compute binary expreesion, left_input=7718, right_input=4854, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2864","layer":3},{"info":"compute binary expreesion, left_input=-2947, right_input=2864, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=14028, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮8555⫸⊐⊺⇮7028)⨓(⊺⇮3954⇼⇔∾⊺⇮1474)↙(↽≂⊺⇮1294⇷⊺⇮1169))≧⫂∧((⊺⇮1581⩤)⪢(⊺⇮1609⇋≉)⇼⇔∾(⊺⇮4754⨳⩥⨓⊺⇮1807)∀⇚≩⊺⇮7718⪛⊺⇮4854)=NaN","reverse_text":"NaN=((⊺⇮8555⫸⊐⊺⇮7028)⨓(⊺⇮3954⇼⇔∾⊺⇮1474)↙(↽≂⊺⇮1294⇷⊺⇮1169))≧⫂∧((⊺⇮1581⩤)⪢(⊺⇮1609⇋≉)⇼⇔∾(⊺⇮4754⨳⩥⨓⊺⇮1807)∀⇚≩⊺⇮7718⪛⊺⇮4854)","cot":[{"info":"⊺⇮8555⫸⊐⊺⇮7028=⊺⇮27987","layer":3},{"info":"⊺⇮3954⇼⇔∾⊺⇮1474=⊺⇮-2480","layer":3},{"info":"⊺⇮27987⨓⊺⇮-2480=⊺⇮2477","layer":2},{"info":"⊺⇮1294⇷⊺⇮1169=⊺⇮2338","layer":3},{"info":"↽≂⊺⇮2338=⊺⇮-4676","layer":2},{"info":"⊺⇮2477↙⊺⇮-4676=⊺⇮14028","layer":1},{"info":"⊺⇮1581⩤=⊺⇮-1581","layer":3},{"info":"⊺⇮1609⇋≉=⊺⇮3120","layer":3},{"info":"⊺⇮-1581⪢⊺⇮3120=NaN","layer":2},{"info":"⊺⇮4754⨳⩥⨓⊺⇮1807=⊺⇮-2947","layer":3},{"info":"⊺⇮7718⪛⊺⇮4854=⊺⇮2864","layer":3},{"info":"⊺⇮-2947∀⇚≩⊺⇮2864=NaN","layer":2},{"info":"NaN⇼⇔∾NaN=NaN","layer":1},{"info":"⊺⇮14028≧⫂∧NaN=NaN","layer":0}]}
{"id":978,"expression_no_base_symbol":"(($5293$≎⊠⪸$1000$)⩷∴$6533$⪢$4720$)⨟⋌⩍($2800$≣⋋)⪢(+⊝⨔$4506$)⪘⫢((⪝⪂⫅$1420$⪮%⊝$1286$)⊭↱($4712$⋥≓≎$1516$)⨓(+⊝⨔$2609$))","expression":"((⊺⇮5293≎⊠⪸⊺⇮1000)⩷∴⊺⇮6533⪢⊺⇮4720)⨟⋌⩍(⊺⇮2800≣⋋)⪢(+⊝⨔⊺⇮4506)⪘⫢((⪝⪂⫅⊺⇮1420⪮%⊝⊺⇮1286)⊭↱(⊺⇮4712⋥≓≎⊺⇮1516)⨓(+⊝⨔⊺⇮2609))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":15686,"operation_count":14,"complexity_ratio":1120.4285714285713,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":5293,"base":10},"right_expr":{"type":"numeric_atoms","value":1000,"base":10}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":6533,"base":10},"right_expr":{"type":"numeric_atoms","value":4720,"base":10}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":2800,"base":10}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":4506,"base":10}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1420,"base":10},"right_expr":{"type":"numeric_atoms","value":1286,"base":10}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4712,"base":10},"right_expr":{"type":"numeric_atoms","value":1516,"base":10}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2609,"base":10}}}}},"used_operators":["oacrs7FA3X","rGHVDoGpnC","9FxExcQeMw","bJkvcejdHO","dWAJyo7jo9","Tcnh7f0tEr","DhbWaqg5eL","COABgblf1C","XTarYq4gQB","IWmyXbctLI","3ViojmjbAp","Qy55tPpLXF"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","Tcnh7f0tEr","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","k8jYdgA6NY","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5293","layer":4},{"info":"number node, value=1000","layer":4},{"info":"compute binary expreesion, left_input=5293, right_input=1000, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1370414","layer":3},{"info":"number node, value=6533","layer":4},{"info":"number node, value=4720","layer":4},{"info":"compute binary expreesion, left_input=6533, right_input=4720, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1370414, 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=2800","layer":4},{"info":"compute unary expreesion, input=2800, 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=4506","layer":4},{"info":"compute unary expreesion, input=4506, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1522, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1420","layer":4},{"info":"number node, value=1286","layer":4},{"info":"compute binary expreesion, left_input=1420, right_input=1286, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3156","layer":3},{"info":"compute unary expreesion, input=3156, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-463932","layer":2},{"info":"number node, value=4712","layer":4},{"info":"number node, value=1516","layer":4},{"info":"compute binary expreesion, left_input=4712, right_input=1516, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1647","layer":3},{"info":"number node, value=2609","layer":4},{"info":"compute unary expreesion, input=2609, 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=-1647, right_input=1522, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1525","layer":2},{"info":"compute binary expreesion, left_input=-463932, right_input=-1525, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=924819","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=924819, 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":10,"result_base":10,"text":"((⊺⇮5293≎⊠⪸⊺⇮1000)⩷∴⊺⇮6533⪢⊺⇮4720)⨟⋌⩍(⊺⇮2800≣⋋)⪢(+⊝⨔⊺⇮4506)⪘⫢((⪝⪂⫅⊺⇮1420⪮%⊝⊺⇮1286)⊭↱(⊺⇮4712⋥≓≎⊺⇮1516)⨓(+⊝⨔⊺⇮2609))=NaN","reverse_text":"NaN=((⊺⇮5293≎⊠⪸⊺⇮1000)⩷∴⊺⇮6533⪢⊺⇮4720)⨟⋌⩍(⊺⇮2800≣⋋)⪢(+⊝⨔⊺⇮4506)⪘⫢((⪝⪂⫅⊺⇮1420⪮%⊝⊺⇮1286)⊭↱(⊺⇮4712⋥≓≎⊺⇮1516)⨓(+⊝⨔⊺⇮2609))","cot":[{"info":"⊺⇮5293≎⊠⪸⊺⇮1000=⊺⇮1370414","layer":3},{"info":"⊺⇮6533⪢⊺⇮4720=NaN","layer":3},{"info":"⊺⇮1370414⩷∴NaN=NaN","layer":2},{"info":"⊺⇮2800≣⋋=⊺⇮0","layer":3},{"info":"+⊝⨔⊺⇮4506=⊺⇮1522","layer":3},{"info":"⊺⇮0⪢⊺⇮1522=NaN","layer":2},{"info":"NaN⨟⋌⩍NaN=NaN","layer":1},{"info":"⊺⇮1420⪮%⊝⊺⇮1286=⊺⇮3156","layer":3},{"info":"⪝⪂⫅⊺⇮3156=⊺⇮-463932","layer":2},{"info":"⊺⇮4712⋥≓≎⊺⇮1516=⊺⇮-1647","layer":3},{"info":"+⊝⨔⊺⇮2609=⊺⇮1522","layer":3},{"info":"⊺⇮-1647⨓⊺⇮1522=⊺⇮-1525","layer":2},{"info":"⊺⇮-463932⊭↱⊺⇮-1525=⊺⇮924819","layer":1},{"info":"NaN⪘⫢⊺⇮924819=NaN","layer":0}]}
{"id":979,"expression_no_base_symbol":"≦∁(≦∁($2142$⪒$1484$)⪮%⊝($3333$/$4692$))","expression":"≦∁(≦∁(⊺⇮2142⪒⊺⇮1484)⪮%⊝(⊺⇮3333/⊺⇮4692))","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":15,"operation_count":5,"complexity_ratio":3.0,"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":2142,"base":10},"right_expr":{"type":"numeric_atoms","value":1484,"base":10}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3333,"base":10},"right_expr":{"type":"numeric_atoms","value":4692,"base":10}}}}},"used_operators":["9ICcGScMcE","IWmyXbctLI","f6k1SAg4EE","XhwjNDsVaA"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2142","layer":4},{"info":"number node, value=1484","layer":4},{"info":"compute binary expreesion, left_input=2142, right_input=1484, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3626","layer":3},{"info":"number node, value=3333","layer":4},{"info":"number node, value=4692","layer":4},{"info":"compute binary expreesion, left_input=3333, right_input=4692, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=-3626, 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 = 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 = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"≦∁(≦∁(⊺⇮2142⪒⊺⇮1484)⪮%⊝(⊺⇮3333/⊺⇮4692))=NaN","reverse_text":"NaN=≦∁(≦∁(⊺⇮2142⪒⊺⇮1484)⪮%⊝(⊺⇮3333/⊺⇮4692))","cot":[{"info":"⊺⇮2142⪒⊺⇮1484=⊺⇮-3626","layer":3},{"info":"⊺⇮3333/⊺⇮4692=⊺⇮0","layer":3},{"info":"⊺⇮-3626⪮%⊝⊺⇮0=NaN","layer":2},{"info":"≦∁NaN=NaN","layer":1},{"info":"≦∁NaN=NaN","layer":0}]}
{"id":980,"expression_no_base_symbol":"($1216$⪮%⊝$2127$⪄($2868$⪨≂$8140$)*($3614$⫸⊐$6041$)↺$2040$≧⫂∧$3144$)≭((($2454$/$5286$)⇼⇔∾$4521$⨳⩥⨓$2966$)+⇶⊼($1282$⫡⨏$2661$)⪘⫢($1851$⋳⪒$4724$))","expression":"(⊺⇮1216⪮%⊝⊺⇮2127⪄(⊺⇮2868⪨≂⊺⇮8140)*(⊺⇮3614⫸⊐⊺⇮6041)↺⊺⇮2040≧⫂∧⊺⇮3144)≭(((⊺⇮2454/⊺⇮5286)⇼⇔∾⊺⇮4521⨳⩥⨓⊺⇮2966)+⇶⊼(⊺⇮1282⫡⨏⊺⇮2661)⪘⫢(⊺⇮1851⋳⪒⊺⇮4724))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2837,"operation_count":15,"complexity_ratio":189.13333333333333,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1216,"base":10},"right_expr":{"type":"numeric_atoms","value":2127,"base":10}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2868,"base":10},"right_expr":{"type":"numeric_atoms","value":8140,"base":10}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3614,"base":10},"right_expr":{"type":"numeric_atoms","value":6041,"base":10}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2040,"base":10},"right_expr":{"type":"numeric_atoms","value":3144,"base":10}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2454,"base":10},"right_expr":{"type":"numeric_atoms","value":5286,"base":10}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4521,"base":10},"right_expr":{"type":"numeric_atoms","value":2966,"base":10}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1282,"base":10},"right_expr":{"type":"numeric_atoms","value":2661,"base":10}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1851,"base":10},"right_expr":{"type":"numeric_atoms","value":4724,"base":10}}}}},"used_operators":["rxpJgHHUmx","9HNa5Wba9A","SUmda5xLS4","IWmyXbctLI","sdazOOVcIp","7j4O788W3g","mqXw5SEYmG","Ph9nP6C5qx","TpPTUOHfaN","tifHPKVTfV","XhwjNDsVaA","nCS4ZIUYfx","oacrs7FA3X","QMFrweE19q","12rbrZMWeM"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⊺⇮-22","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1216","layer":4},{"info":"number node, value=2127","layer":4},{"info":"compute binary expreesion, left_input=1216, right_input=2127, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2748","layer":3},{"info":"number node, value=2868","layer":4},{"info":"number node, value=8140","layer":4},{"info":"compute binary expreesion, left_input=2868, right_input=8140, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-10442","layer":3},{"info":"compute binary expreesion, left_input=2748, right_input=-10442, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-361025","layer":2},{"info":"number node, value=3614","layer":4},{"info":"number node, value=6041","layer":4},{"info":"compute binary expreesion, left_input=3614, right_input=6041, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=24039","layer":3},{"info":"number node, value=2040","layer":4},{"info":"number node, value=3144","layer":4},{"info":"compute binary expreesion, left_input=2040, right_input=3144, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2671","layer":3},{"info":"compute binary expreesion, left_input=24039, right_input=2671, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2671","layer":2},{"info":"compute binary expreesion, left_input=-361025, right_input=2671, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-964297775","layer":1},{"info":"number node, value=2454","layer":4},{"info":"number node, value=5286","layer":4},{"info":"compute binary expreesion, left_input=2454, right_input=5286, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=4521","layer":4},{"info":"number node, value=2966","layer":4},{"info":"compute binary expreesion, left_input=4521, right_input=2966, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1555","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1555, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1555","layer":2},{"info":"number node, value=1282","layer":4},{"info":"number node, value=2661","layer":4},{"info":"compute binary expreesion, left_input=1282, right_input=2661, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=12515","layer":3},{"info":"number node, value=1851","layer":4},{"info":"number node, value=4724","layer":4},{"info":"compute binary expreesion, left_input=1851, right_input=4724, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-1309","layer":3},{"info":"compute binary expreesion, left_input=12515, right_input=-1309, 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=-1555, 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=-964297775, 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":10,"result_base":10,"text":"(⊺⇮1216⪮%⊝⊺⇮2127⪄(⊺⇮2868⪨≂⊺⇮8140)*(⊺⇮3614⫸⊐⊺⇮6041)↺⊺⇮2040≧⫂∧⊺⇮3144)≭(((⊺⇮2454/⊺⇮5286)⇼⇔∾⊺⇮4521⨳⩥⨓⊺⇮2966)+⇶⊼(⊺⇮1282⫡⨏⊺⇮2661)⪘⫢(⊺⇮1851⋳⪒⊺⇮4724))=⊺⇮-22","reverse_text":"⊺⇮-22=(⊺⇮1216⪮%⊝⊺⇮2127⪄(⊺⇮2868⪨≂⊺⇮8140)*(⊺⇮3614⫸⊐⊺⇮6041)↺⊺⇮2040≧⫂∧⊺⇮3144)≭(((⊺⇮2454/⊺⇮5286)⇼⇔∾⊺⇮4521⨳⩥⨓⊺⇮2966)+⇶⊼(⊺⇮1282⫡⨏⊺⇮2661)⪘⫢(⊺⇮1851⋳⪒⊺⇮4724))","cot":[{"info":"⊺⇮1216⪮%⊝⊺⇮2127=⊺⇮2748","layer":3},{"info":"⊺⇮2868⪨≂⊺⇮8140=⊺⇮-10442","layer":3},{"info":"⊺⇮2748⪄⊺⇮-10442=⊺⇮-361025","layer":2},{"info":"⊺⇮3614⫸⊐⊺⇮6041=⊺⇮24039","layer":3},{"info":"⊺⇮2040≧⫂∧⊺⇮3144=⊺⇮2671","layer":3},{"info":"⊺⇮24039↺⊺⇮2671=⊺⇮2671","layer":2},{"info":"⊺⇮-361025*⊺⇮2671=⊺⇮-964297775","layer":1},{"info":"⊺⇮2454/⊺⇮5286=⊺⇮0","layer":3},{"info":"⊺⇮4521⨳⩥⨓⊺⇮2966=⊺⇮-1555","layer":3},{"info":"⊺⇮0⇼⇔∾⊺⇮-1555=⊺⇮-1555","layer":2},{"info":"⊺⇮1282⫡⨏⊺⇮2661=⊺⇮12515","layer":3},{"info":"⊺⇮1851⋳⪒⊺⇮4724=⊺⇮-1309","layer":3},{"info":"⊺⇮12515⪘⫢⊺⇮-1309=⊺⇮0","layer":2},{"info":"⊺⇮-1555+⇶⊼⊺⇮0=⊺⇮0","layer":1},{"info":"⊺⇮-964297775≭⊺⇮0=⊺⇮-22","layer":0}]}
{"id":981,"expression_no_base_symbol":"((($5602$-$3854$)⊠≄⫣)⩨($4139$⋓$3496$)∑⇟⊟($2017$⋝⋈⪟$1155$))⨰($1676$⪘⫢$5361$⨰($3328$⨳⩥⨓$5899$)⩤)","expression":"(((⊺⇮5602-⊺⇮3854)⊠≄⫣)⩨(⊺⇮4139⋓⊺⇮3496)∑⇟⊟(⊺⇮2017⋝⋈⪟⊺⇮1155))⨰(⊺⇮1676⪘⫢⊺⇮5361⨰(⊺⇮3328⨳⩥⨓⊺⇮5899)⩤)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":56,"operation_count":11,"complexity_ratio":5.090909090909091,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":5602,"base":10},"right_expr":{"type":"numeric_atoms","value":3854,"base":10}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4139,"base":10},"right_expr":{"type":"numeric_atoms","value":3496,"base":10}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2017,"base":10},"right_expr":{"type":"numeric_atoms","value":1155,"base":10}}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1676,"base":10},"right_expr":{"type":"numeric_atoms","value":5361,"base":10}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3328,"base":10},"right_expr":{"type":"numeric_atoms","value":5899,"base":10}}}}},"used_operators":["eewbuw0ToL","2DlMacCsIx","DIvbN7qnHd","rysDP5nf3Z","U7g4x0WXJJ","T2fj7uvVaJ","2DDjHMKMc0","Z2TMIBDE3Q","oacrs7FA3X","nCS4ZIUYfx"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5602","layer":4},{"info":"number node, value=3854","layer":4},{"info":"compute binary expreesion, left_input=5602, right_input=3854, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1748","layer":3},{"info":"compute unary expreesion, input=1748, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"number node, value=4139","layer":4},{"info":"number node, value=3496","layer":4},{"info":"compute binary expreesion, left_input=4139, right_input=3496, op_id = T2fj7uvVaJ binary_op_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=2017","layer":4},{"info":"number node, value=1155","layer":4},{"info":"compute binary expreesion, left_input=2017, right_input=1155, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2017","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2017, 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 = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"number node, value=1676","layer":4},{"info":"number node, value=5361","layer":4},{"info":"compute binary expreesion, left_input=1676, right_input=5361, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3228","layer":3},{"info":"number node, value=3328","layer":4},{"info":"number node, value=5899","layer":4},{"info":"compute binary expreesion, left_input=3328, right_input=5899, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2571","layer":3},{"info":"compute binary expreesion, left_input=3228, right_input=2571, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=667","layer":2},{"info":"compute unary expreesion, input=667, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-667","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-667, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮5602-⊺⇮3854)⊠≄⫣)⩨(⊺⇮4139⋓⊺⇮3496)∑⇟⊟(⊺⇮2017⋝⋈⪟⊺⇮1155))⨰(⊺⇮1676⪘⫢⊺⇮5361⨰(⊺⇮3328⨳⩥⨓⊺⇮5899)⩤)=NaN","reverse_text":"NaN=(((⊺⇮5602-⊺⇮3854)⊠≄⫣)⩨(⊺⇮4139⋓⊺⇮3496)∑⇟⊟(⊺⇮2017⋝⋈⪟⊺⇮1155))⨰(⊺⇮1676⪘⫢⊺⇮5361⨰(⊺⇮3328⨳⩥⨓⊺⇮5899)⩤)","cot":[{"info":"⊺⇮5602-⊺⇮3854=⊺⇮1748","layer":3},{"info":"⊺⇮1748⊠≄⫣=⊺⇮0","layer":2},{"info":"⊺⇮4139⋓⊺⇮3496=⊺⇮0","layer":3},{"info":"⊺⇮2017⋝⋈⪟⊺⇮1155=⊺⇮2017","layer":3},{"info":"⊺⇮0∑⇟⊟⊺⇮2017=NaN","layer":2},{"info":"⊺⇮0⩨NaN=NaN","layer":1},{"info":"⊺⇮1676⪘⫢⊺⇮5361=⊺⇮3228","layer":3},{"info":"⊺⇮3328⨳⩥⨓⊺⇮5899=⊺⇮2571","layer":3},{"info":"⊺⇮3228⨰⊺⇮2571=⊺⇮667","layer":2},{"info":"⊺⇮667⩤=⊺⇮-667","layer":1},{"info":"NaN⨰⊺⇮-667=NaN","layer":0}]}
{"id":982,"expression_no_base_symbol":"(⊥(($1588$⇋≉)≋⫹))∀⇚≩(⪝⪂⫅$2467$⨪↰⇹$5295$)∀⇚≩(⨵≀≌(≤/$7022$))","expression":"(⊥((⊺⇮1588⇋≉)≋⫹))∀⇚≩(⪝⪂⫅⊺⇮2467⨪↰⇹⊺⇮5295)∀⇚≩(⨵≀≌(≤/⊺⇮7022))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2547712,"operation_count":9,"complexity_ratio":283079.1111111111,"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":1588,"base":10}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2467,"base":10},"right_expr":{"type":"numeric_atoms","value":5295,"base":10}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":7022,"base":10}}}}},"used_operators":["LRNGc0VcxI","Q3PJZHRvZv","N41Kp7NANJ","XIabStNQrY","XTarYq4gQB","tmPS8pqC7x","srAu1WTS94","eLAdDNolq6"],"dependent_operators":["X99M06cbEe","fu6greOZ01","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","rJVOvQCfKK","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1588","layer":4},{"info":"compute unary expreesion, input=1588, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=3078","layer":3},{"info":"compute unary expreesion, input=3078, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-6156","layer":2},{"info":"compute unary expreesion, input=-6156, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"number node, value=2467","layer":4},{"info":"number node, value=5295","layer":4},{"info":"compute binary expreesion, left_input=2467, 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=2467","layer":3},{"info":"compute unary expreesion, input=2467, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-362649","layer":2},{"info":"number node, value=7022","layer":4},{"info":"compute unary expreesion, input=7022, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-6538","layer":3},{"info":"compute unary expreesion, input=-6538, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=42745444","layer":2},{"info":"compute binary expreesion, left_input=-362649, right_input=42745444, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":10,"result_base":10,"text":"(⊥((⊺⇮1588⇋≉)≋⫹))∀⇚≩(⪝⪂⫅⊺⇮2467⨪↰⇹⊺⇮5295)∀⇚≩(⨵≀≌(≤/⊺⇮7022))=NaN","reverse_text":"NaN=(⊥((⊺⇮1588⇋≉)≋⫹))∀⇚≩(⪝⪂⫅⊺⇮2467⨪↰⇹⊺⇮5295)∀⇚≩(⨵≀≌(≤/⊺⇮7022))","cot":[{"info":"⊺⇮1588⇋≉=⊺⇮3078","layer":3},{"info":"⊺⇮3078≋⫹=⊺⇮-6156","layer":2},{"info":"⊥⊺⇮-6156=NaN","layer":1},{"info":"⊺⇮2467⨪↰⇹⊺⇮5295=⊺⇮2467","layer":3},{"info":"⪝⪂⫅⊺⇮2467=⊺⇮-362649","layer":2},{"info":"≤/⊺⇮7022=⊺⇮-6538","layer":3},{"info":"⨵≀≌⊺⇮-6538=⊺⇮42745444","layer":2},{"info":"⊺⇮-362649∀⇚≩⊺⇮42745444=NaN","layer":1},{"info":"NaN∀⇚≩NaN=NaN","layer":0}]}
{"id":983,"expression_no_base_symbol":"(($1658$⨎$1826$)⊭∹↮)⪢(≦∁(≉$7605$))⪨≂(↣≠⋷($2902$≭$1621$))⇷(⊥(⨑⩽⪐$4340$))","expression":"((⊺⇮1658⨎⊺⇮1826)⊭∹↮)⪢(≦∁(≉⊺⇮7605))⪨≂(↣≠⋷(⊺⇮2902≭⊺⇮1621))⇷(⊥(⨑⩽⪐⊺⇮4340))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8167,"operation_count":11,"complexity_ratio":742.4545454545455,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1658,"base":10},"right_expr":{"type":"numeric_atoms","value":1826,"base":10}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":7605,"base":10}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2902,"base":10},"right_expr":{"type":"numeric_atoms","value":1621,"base":10}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":4340,"base":10}}}}},"used_operators":["sdazOOVcIp","dWAJyo7jo9","xNBdhnnwKq","rJVOvQCfKK","9ICcGScMcE","e1ybzncUwg","mp7IySMOzn","Asc51vEJeQ","rxpJgHHUmx","Q3PJZHRvZv","AF7qkfDlqP"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","XhwjNDsVaA","AHs5Up7iyr","AHs5Up7iyr","fu6greOZ01","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1658","layer":4},{"info":"number node, value=1826","layer":4},{"info":"compute binary expreesion, left_input=1658, right_input=1826, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1826","layer":3},{"info":"compute unary expreesion, input=1826, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=3652","layer":2},{"info":"number node, value=7605","layer":4},{"info":"compute unary expreesion, input=7605, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=8136","layer":3},{"info":"compute unary expreesion, input=8136, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=8136","layer":2},{"info":"compute binary expreesion, left_input=3652, right_input=8136, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=2902","layer":4},{"info":"number node, value=1621","layer":4},{"info":"compute binary expreesion, left_input=2902, right_input=1621, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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 = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=4340","layer":4},{"info":"compute unary expreesion, input=4340, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-4067","layer":3},{"info":"compute unary expreesion, input=-4067, 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 = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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":10,"result_base":10,"text":"((⊺⇮1658⨎⊺⇮1826)⊭∹↮)⪢(≦∁(≉⊺⇮7605))⪨≂(↣≠⋷(⊺⇮2902≭⊺⇮1621))⇷(⊥(⨑⩽⪐⊺⇮4340))=NaN","reverse_text":"NaN=((⊺⇮1658⨎⊺⇮1826)⊭∹↮)⪢(≦∁(≉⊺⇮7605))⪨≂(↣≠⋷(⊺⇮2902≭⊺⇮1621))⇷(⊥(⨑⩽⪐⊺⇮4340))","cot":[{"info":"⊺⇮1658⨎⊺⇮1826=⊺⇮1826","layer":3},{"info":"⊺⇮1826⊭∹↮=⊺⇮3652","layer":2},{"info":"≉⊺⇮7605=⊺⇮8136","layer":3},{"info":"≦∁⊺⇮8136=⊺⇮8136","layer":2},{"info":"⊺⇮3652⪢⊺⇮8136=NaN","layer":1},{"info":"⊺⇮2902≭⊺⇮1621=NaN","layer":3},{"info":"↣≠⋷NaN=NaN","layer":2},{"info":"⨑⩽⪐⊺⇮4340=⊺⇮-4067","layer":3},{"info":"⊥⊺⇮-4067=NaN","layer":2},{"info":"NaN⇷NaN=NaN","layer":1},{"info":"NaN⪨≂NaN=NaN","layer":0}]}
{"id":984,"expression_no_base_symbol":"(((⊄⩳↩$4209$)⪨≂$3039$⨽$6127$)-(↔$2784$)⪄$1208$⩷∴$1568$)⪛(($1107$⨎$5013$)≭($5542$⊉≛↸$4165$)/($1155$↛⩡⫤)⇷($5738$-$7385$))","expression":"(((⊄⩳↩⊺⇮4209)⪨≂⊺⇮3039⨽⊺⇮6127)-(↔⊺⇮2784)⪄⊺⇮1208⩷∴⊺⇮1568)⪛((⊺⇮1107⨎⊺⇮5013)≭(⊺⇮5542⊉≛↸⊺⇮4165)/(⊺⇮1155↛⩡⫤)⇷(⊺⇮5738-⊺⇮7385))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2393695,"operation_count":15,"complexity_ratio":159579.66666666666,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":4209,"base":10}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3039,"base":10},"right_expr":{"type":"numeric_atoms","value":6127,"base":10}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2784,"base":10}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1208,"base":10},"right_expr":{"type":"numeric_atoms","value":1568,"base":10}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1107,"base":10},"right_expr":{"type":"numeric_atoms","value":5013,"base":10}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":5542,"base":10},"right_expr":{"type":"numeric_atoms","value":4165,"base":10}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1155,"base":10}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":5738,"base":10},"right_expr":{"type":"numeric_atoms","value":7385,"base":10}}}}},"used_operators":["uFcxV4UQCh","rysDP5nf3Z","sdazOOVcIp","8w2t5hMYqp","8HhzD0ZcuI","SUmda5xLS4","ruOEQAzv1W","9FxExcQeMw","XhwjNDsVaA","rxpJgHHUmx","rJVOvQCfKK","DZ8iAZOCBD","mp7IySMOzn","FU0Cs4j7VP"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","rysDP5nf3Z","AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4209","layer":4},{"info":"compute unary expreesion, input=4209, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-12627","layer":3},{"info":"number node, value=3039","layer":4},{"info":"number node, value=6127","layer":4},{"info":"compute binary expreesion, left_input=3039, right_input=6127, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-27723630","layer":3},{"info":"compute binary expreesion, left_input=-12627, right_input=-27723630, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=55422108","layer":2},{"info":"number node, value=2784","layer":4},{"info":"compute unary expreesion, input=2784, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2511","layer":3},{"info":"number node, value=1208","layer":4},{"info":"number node, value=1568","layer":4},{"info":"compute binary expreesion, left_input=1208, right_input=1568, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-752","layer":3},{"info":"compute binary expreesion, left_input=-2511, right_input=-752, 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=55422108, right_input=3979, op_id = rysDP5nf3Z binary_op_definition= 'None', output=55418129","layer":1},{"info":"number node, value=1107","layer":4},{"info":"number node, value=5013","layer":4},{"info":"compute binary expreesion, left_input=1107, right_input=5013, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5013","layer":3},{"info":"number node, value=5542","layer":4},{"info":"number node, value=4165","layer":4},{"info":"compute binary expreesion, left_input=5542, right_input=4165, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=11084","layer":3},{"info":"compute binary expreesion, left_input=5013, right_input=11084, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1155","layer":4},{"info":"compute unary expreesion, input=1155, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-170494","layer":3},{"info":"number node, value=5738","layer":4},{"info":"number node, value=7385","layer":4},{"info":"compute binary expreesion, left_input=5738, right_input=7385, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1647","layer":3},{"info":"compute binary expreesion, left_input=-170494, right_input=-1647, 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 = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=55418129, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((⊄⩳↩⊺⇮4209)⪨≂⊺⇮3039⨽⊺⇮6127)-(↔⊺⇮2784)⪄⊺⇮1208⩷∴⊺⇮1568)⪛((⊺⇮1107⨎⊺⇮5013)≭(⊺⇮5542⊉≛↸⊺⇮4165)/(⊺⇮1155↛⩡⫤)⇷(⊺⇮5738-⊺⇮7385))=NaN","reverse_text":"NaN=(((⊄⩳↩⊺⇮4209)⪨≂⊺⇮3039⨽⊺⇮6127)-(↔⊺⇮2784)⪄⊺⇮1208⩷∴⊺⇮1568)⪛((⊺⇮1107⨎⊺⇮5013)≭(⊺⇮5542⊉≛↸⊺⇮4165)/(⊺⇮1155↛⩡⫤)⇷(⊺⇮5738-⊺⇮7385))","cot":[{"info":"⊄⩳↩⊺⇮4209=⊺⇮-12627","layer":3},{"info":"⊺⇮3039⨽⊺⇮6127=⊺⇮-27723630","layer":3},{"info":"⊺⇮-12627⪨≂⊺⇮-27723630=⊺⇮55422108","layer":2},{"info":"↔⊺⇮2784=⊺⇮-2511","layer":3},{"info":"⊺⇮1208⩷∴⊺⇮1568=⊺⇮-752","layer":3},{"info":"⊺⇮-2511⪄⊺⇮-752=⊺⇮3979","layer":2},{"info":"⊺⇮55422108-⊺⇮3979=⊺⇮55418129","layer":1},{"info":"⊺⇮1107⨎⊺⇮5013=⊺⇮5013","layer":3},{"info":"⊺⇮5542⊉≛↸⊺⇮4165=⊺⇮11084","layer":3},{"info":"⊺⇮5013≭⊺⇮11084=NaN","layer":2},{"info":"⊺⇮1155↛⩡⫤=⊺⇮-170494","layer":3},{"info":"⊺⇮5738-⊺⇮7385=⊺⇮-1647","layer":3},{"info":"⊺⇮-170494⇷⊺⇮-1647=NaN","layer":2},{"info":"NaN/NaN=NaN","layer":1},{"info":"⊺⇮55418129⪛NaN=NaN","layer":0}]}
{"id":985,"expression_no_base_symbol":"(⨵≀≌$6941$⊴$3039$⩚⊴⇥($8514$⨐⩸⫘$2833$))⩚⊴⇥($3669$+⇶⊼$4431$≣⋋)∑⇟⊟(⫓⪴($4078$/$1443$))","expression":"(⨵≀≌⊺⇮6941⊴⊺⇮3039⩚⊴⇥(⊺⇮8514⨐⩸⫘⊺⇮2833))⩚⊴⇥(⊺⇮3669+⇶⊼⊺⇮4431≣⋋)∑⇟⊟(⫓⪴(⊺⇮4078/⊺⇮1443))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4218,"operation_count":10,"complexity_ratio":421.8,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":6941,"base":10},"right_expr":{"type":"numeric_atoms","value":3039,"base":10}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":8514,"base":10},"right_expr":{"type":"numeric_atoms","value":2833,"base":10}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3669,"base":10},"right_expr":{"type":"numeric_atoms","value":4431,"base":10}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4078,"base":10},"right_expr":{"type":"numeric_atoms","value":1443,"base":10}}}}},"used_operators":["NTOWxs364D","srAu1WTS94","Nsiff2A1zJ","fu6greOZ01","U7g4x0WXJJ","Tcnh7f0tEr","TpPTUOHfaN","eLxqMNBOBk","XhwjNDsVaA"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","dWAJyo7jo9","14qkJME0vr","3ViojmjbAp","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","AHs5Up7iyr","9HNa5Wba9A","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=6941","layer":4},{"info":"number node, value=3039","layer":4},{"info":"compute binary expreesion, left_input=6941, right_input=3039, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=8514","layer":4},{"info":"number node, value=2833","layer":4},{"info":"compute binary expreesion, left_input=8514, right_input=2833, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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 = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', 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=3669","layer":4},{"info":"number node, value=4431","layer":4},{"info":"compute binary expreesion, left_input=3669, right_input=4431, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=4078","layer":4},{"info":"number node, value=1443","layer":4},{"info":"compute binary expreesion, left_input=4078, right_input=1443, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"compute unary expreesion, input=2, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=4","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4, 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 = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⨵≀≌⊺⇮6941⊴⊺⇮3039⩚⊴⇥(⊺⇮8514⨐⩸⫘⊺⇮2833))⩚⊴⇥(⊺⇮3669+⇶⊼⊺⇮4431≣⋋)∑⇟⊟(⫓⪴(⊺⇮4078/⊺⇮1443))=NaN","reverse_text":"NaN=(⨵≀≌⊺⇮6941⊴⊺⇮3039⩚⊴⇥(⊺⇮8514⨐⩸⫘⊺⇮2833))⩚⊴⇥(⊺⇮3669+⇶⊼⊺⇮4431≣⋋)∑⇟⊟(⫓⪴(⊺⇮4078/⊺⇮1443))","cot":[{"info":"⊺⇮6941⊴⊺⇮3039=NaN","layer":3},{"info":"⊺⇮8514⨐⩸⫘⊺⇮2833=NaN","layer":3},{"info":"NaN⩚⊴⇥NaN=NaN","layer":2},{"info":"⨵≀≌NaN=NaN","layer":1},{"info":"⊺⇮3669+⇶⊼⊺⇮4431=NaN","layer":3},{"info":"NaN≣⋋=NaN","layer":2},{"info":"⊺⇮4078/⊺⇮1443=⊺⇮2","layer":3},{"info":"⫓⪴⊺⇮2=⊺⇮4","layer":2},{"info":"NaN∑⇟⊟⊺⇮4=NaN","layer":1},{"info":"NaN⩚⊴⇥NaN=NaN","layer":0}]}
{"id":986,"expression_no_base_symbol":"(($1910$⋥≓≎$1526$+(↩$5666$))⨐⩸⫘(($1184$⋷$2058$)⫸⊐($4666$⋷$2245$)))⨎($2867$⨰$1578$)⇷$1390$∀⇚≩$1156$⨰(↣≠⋷($2522$-$6719$))","expression":"((⊺⇮1910⋥≓≎⊺⇮1526+(↩⊺⇮5666))⨐⩸⫘((⊺⇮1184⋷⊺⇮2058)⫸⊐(⊺⇮4666⋷⊺⇮2245)))⨎(⊺⇮2867⨰⊺⇮1578)⇷⊺⇮1390∀⇚≩⊺⇮1156⨰(↣≠⋷(⊺⇮2522-⊺⇮6719))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":720205,"operation_count":14,"complexity_ratio":51443.21428571428,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1910,"base":10},"right_expr":{"type":"numeric_atoms","value":1526,"base":10}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":5666,"base":10}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1184,"base":10},"right_expr":{"type":"numeric_atoms","value":2058,"base":10}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":4666,"base":10},"right_expr":{"type":"numeric_atoms","value":2245,"base":10}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2867,"base":10},"right_expr":{"type":"numeric_atoms","value":1578,"base":10}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1390,"base":10},"right_expr":{"type":"numeric_atoms","value":1156,"base":10}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2522,"base":10},"right_expr":{"type":"numeric_atoms","value":6719,"base":10}}}}},"used_operators":["rJVOvQCfKK","fu6greOZ01","W4YGzv6Whe","Qy55tPpLXF","jLgFTUHLKL","mqXw5SEYmG","23Mk6UjR3U","eewbuw0ToL","mp7IySMOzn","LRNGc0VcxI","Asc51vEJeQ","rysDP5nf3Z"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","X99M06cbEe","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1910","layer":4},{"info":"number node, value=1526","layer":4},{"info":"compute binary expreesion, left_input=1910, right_input=1526, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1175","layer":3},{"info":"number node, value=5666","layer":4},{"info":"compute unary expreesion, input=5666, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-42548","layer":3},{"info":"compute binary expreesion, left_input=1175, right_input=-42548, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-41373","layer":2},{"info":"number node, value=1184","layer":4},{"info":"number node, value=2058","layer":4},{"info":"compute binary expreesion, left_input=1184, right_input=2058, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2932","layer":3},{"info":"number node, value=4666","layer":4},{"info":"number node, value=2245","layer":4},{"info":"compute binary expreesion, left_input=4666, right_input=2245, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-176","layer":3},{"info":"compute binary expreesion, left_input=2932, right_input=-176, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-829","layer":2},{"info":"compute binary expreesion, left_input=-41373, right_input=-829, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=832","layer":1},{"info":"number node, value=2867","layer":4},{"info":"number node, value=1578","layer":4},{"info":"compute binary expreesion, left_input=2867, right_input=1578, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1299","layer":3},{"info":"number node, value=1390","layer":4},{"info":"number node, value=1156","layer":4},{"info":"compute binary expreesion, left_input=1390, right_input=1156, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1299, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"number node, value=2522","layer":4},{"info":"number node, value=6719","layer":4},{"info":"compute binary expreesion, left_input=2522, right_input=6719, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-4197","layer":3},{"info":"compute unary expreesion, input=-4197, 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 = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=832, 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":10,"result_base":10,"text":"((⊺⇮1910⋥≓≎⊺⇮1526+(↩⊺⇮5666))⨐⩸⫘((⊺⇮1184⋷⊺⇮2058)⫸⊐(⊺⇮4666⋷⊺⇮2245)))⨎(⊺⇮2867⨰⊺⇮1578)⇷⊺⇮1390∀⇚≩⊺⇮1156⨰(↣≠⋷(⊺⇮2522-⊺⇮6719))=NaN","reverse_text":"NaN=((⊺⇮1910⋥≓≎⊺⇮1526+(↩⊺⇮5666))⨐⩸⫘((⊺⇮1184⋷⊺⇮2058)⫸⊐(⊺⇮4666⋷⊺⇮2245)))⨎(⊺⇮2867⨰⊺⇮1578)⇷⊺⇮1390∀⇚≩⊺⇮1156⨰(↣≠⋷(⊺⇮2522-⊺⇮6719))","cot":[{"info":"⊺⇮1910⋥≓≎⊺⇮1526=⊺⇮1175","layer":3},{"info":"↩⊺⇮5666=⊺⇮-42548","layer":3},{"info":"⊺⇮1175+⊺⇮-42548=⊺⇮-41373","layer":2},{"info":"⊺⇮1184⋷⊺⇮2058=⊺⇮2932","layer":3},{"info":"⊺⇮4666⋷⊺⇮2245=⊺⇮-176","layer":3},{"info":"⊺⇮2932⫸⊐⊺⇮-176=⊺⇮-829","layer":2},{"info":"⊺⇮-41373⨐⩸⫘⊺⇮-829=⊺⇮832","layer":1},{"info":"⊺⇮2867⨰⊺⇮1578=⊺⇮1299","layer":3},{"info":"⊺⇮1390∀⇚≩⊺⇮1156=NaN","layer":3},{"info":"⊺⇮1299⇷NaN=NaN","layer":2},{"info":"⊺⇮2522-⊺⇮6719=⊺⇮-4197","layer":3},{"info":"↣≠⋷⊺⇮-4197=NaN","layer":2},{"info":"NaN⨰NaN=NaN","layer":1},{"info":"⊺⇮832⨎NaN=NaN","layer":0}]}
{"id":987,"expression_no_base_symbol":"(($2860$/$3298$)⨳⩥⨓(↣≠⋷$1773$))⨓(($1606$⨁⊸⫻)⋳⪒$5238$⨪↰⇹$6107$)⊉≛↸(($3281$⨪↰⇹$2689$)⪛(⨵≀≌$4356$)⨸⪁(($4413$∸)⨵⪆(∂$6905$)))","expression":"((⊺⇮2860/⊺⇮3298)⨳⩥⨓(↣≠⋷⊺⇮1773))⨓((⊺⇮1606⨁⊸⫻)⋳⪒⊺⇮5238⨪↰⇹⊺⇮6107)⊉≛↸((⊺⇮3281⨪↰⇹⊺⇮2689)⪛(⨵≀≌⊺⇮4356)⨸⪁((⊺⇮4413∸)⨵⪆(∂⊺⇮6905)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":11046,"operation_count":15,"complexity_ratio":736.4,"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":2860,"base":10},"right_expr":{"type":"numeric_atoms","value":3298,"base":10}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1773,"base":10}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1606,"base":10}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":5238,"base":10},"right_expr":{"type":"numeric_atoms","value":6107,"base":10}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3281,"base":10},"right_expr":{"type":"numeric_atoms","value":2689,"base":10}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":4356,"base":10}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":4413,"base":10}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":6905,"base":10}}}}},"used_operators":["DZ8iAZOCBD","3ViojmjbAp","nCS4ZIUYfx","XhwjNDsVaA","Asc51vEJeQ","12rbrZMWeM","glklzrTFfD","tmPS8pqC7x","g55IO6H4Gj","uFcxV4UQCh","srAu1WTS94","2DQ55sFlQl","o20kRiQErp","Uaa54Peajs"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rJVOvQCfKK","W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"⊺⇮19254","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2860","layer":4},{"info":"number node, value=3298","layer":4},{"info":"compute binary expreesion, left_input=2860, right_input=3298, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=1773","layer":4},{"info":"compute unary expreesion, input=1773, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"number node, value=1606","layer":4},{"info":"compute unary expreesion, input=1606, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1606","layer":3},{"info":"number node, value=5238","layer":4},{"info":"number node, value=6107","layer":4},{"info":"compute binary expreesion, left_input=5238, right_input=6107, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=5238","layer":3},{"info":"compute binary expreesion, left_input=1606, right_input=5238, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-2313","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2313, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2316","layer":1},{"info":"number node, value=3281","layer":4},{"info":"number node, value=2689","layer":4},{"info":"compute binary expreesion, left_input=3281, right_input=2689, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3281","layer":3},{"info":"number node, value=4356","layer":4},{"info":"compute unary expreesion, input=4356, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-13068","layer":3},{"info":"compute binary expreesion, left_input=3281, right_input=-13068, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-9787","layer":2},{"info":"number node, value=4413","layer":4},{"info":"compute unary expreesion, input=4413, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=6905","layer":4},{"info":"compute unary expreesion, input=6905, 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=177, 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=-9787, right_input=160, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-19254","layer":1},{"info":"compute binary expreesion, left_input=-2316, right_input=-19254, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=19254","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮2860/⊺⇮3298)⨳⩥⨓(↣≠⋷⊺⇮1773))⨓((⊺⇮1606⨁⊸⫻)⋳⪒⊺⇮5238⨪↰⇹⊺⇮6107)⊉≛↸((⊺⇮3281⨪↰⇹⊺⇮2689)⪛(⨵≀≌⊺⇮4356)⨸⪁((⊺⇮4413∸)⨵⪆(∂⊺⇮6905)))=⊺⇮19254","reverse_text":"⊺⇮19254=((⊺⇮2860/⊺⇮3298)⨳⩥⨓(↣≠⋷⊺⇮1773))⨓((⊺⇮1606⨁⊸⫻)⋳⪒⊺⇮5238⨪↰⇹⊺⇮6107)⊉≛↸((⊺⇮3281⨪↰⇹⊺⇮2689)⪛(⨵≀≌⊺⇮4356)⨸⪁((⊺⇮4413∸)⨵⪆(∂⊺⇮6905)))","cot":[{"info":"⊺⇮2860/⊺⇮3298=⊺⇮0","layer":3},{"info":"↣≠⋷⊺⇮1773=NaN","layer":3},{"info":"⊺⇮0⨳⩥⨓NaN=NaN","layer":2},{"info":"⊺⇮1606⨁⊸⫻=⊺⇮1606","layer":3},{"info":"⊺⇮5238⨪↰⇹⊺⇮6107=⊺⇮5238","layer":3},{"info":"⊺⇮1606⋳⪒⊺⇮5238=⊺⇮-2313","layer":2},{"info":"NaN⨓⊺⇮-2313=⊺⇮-2316","layer":1},{"info":"⊺⇮3281⨪↰⇹⊺⇮2689=⊺⇮3281","layer":3},{"info":"⨵≀≌⊺⇮4356=⊺⇮-13068","layer":3},{"info":"⊺⇮3281⪛⊺⇮-13068=⊺⇮-9787","layer":2},{"info":"⊺⇮4413∸=⊺⇮177","layer":3},{"info":"∂⊺⇮6905=NaN","layer":3},{"info":"⊺⇮177⨵⪆NaN=⊺⇮160","layer":2},{"info":"⊺⇮-9787⨸⪁⊺⇮160=⊺⇮-19254","layer":1},{"info":"⊺⇮-2316⊉≛↸⊺⇮-19254=⊺⇮19254","layer":0}]}
{"id":988,"expression_no_base_symbol":"-(⋗⩬⋾($1925$⨐⩸⫘$2495$⪄(⨵≀≌$2975$)))","expression":"-(⋗⩬⋾(⊺⇮1925⨐⩸⫘⊺⇮2495⪄(⨵≀≌⊺⇮2975)))","highest_n_order":4,"priority_hierarchical_complexity":3,"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":1925,"base":10},"right_expr":{"type":"numeric_atoms","value":2495,"base":10}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":2975,"base":10}}}}},"used_operators":["t8gj7n24qd","DpFCA1CohY","SUmda5xLS4","fu6greOZ01","srAu1WTS94"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","3ViojmjbAp","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"⊺⇮11937","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1925","layer":4},{"info":"number node, value=2495","layer":4},{"info":"compute binary expreesion, left_input=1925, right_input=2495, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=2975","layer":4},{"info":"compute unary expreesion, input=2975, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-8925","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-8925, 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 unary expreesion, input=-11937, op_id = t8gj7n24qd, unary_op_definition = 'None', output=11937","layer":0}],"base":10,"result_base":10,"text":"-(⋗⩬⋾(⊺⇮1925⨐⩸⫘⊺⇮2495⪄(⨵≀≌⊺⇮2975)))=⊺⇮11937","reverse_text":"⊺⇮11937=-(⋗⩬⋾(⊺⇮1925⨐⩸⫘⊺⇮2495⪄(⨵≀≌⊺⇮2975)))","cot":[{"info":"⊺⇮1925⨐⩸⫘⊺⇮2495=NaN","layer":3},{"info":"⨵≀≌⊺⇮2975=⊺⇮-8925","layer":3},{"info":"NaN⪄⊺⇮-8925=⊺⇮3979","layer":2},{"info":"⋗⩬⋾⊺⇮3979=⊺⇮-11937","layer":1},{"info":"-⊺⇮-11937=⊺⇮11937","layer":0}]}
{"id":989,"expression_no_base_symbol":"(⩦⩻⨪($6349$⨵⪆$1293$)⋥≓≎($5587$≋⫹))⊪","expression":"(⩦⩻⨪(⊺⇮6349⨵⪆⊺⇮1293)⋥≓≎(⊺⇮5587≋⫹))⊪","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":67453,"operation_count":5,"complexity_ratio":13490.6,"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":6349,"base":10},"right_expr":{"type":"numeric_atoms","value":1293,"base":10}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":5587,"base":10}}}}},"used_operators":["zVYPLywUTj","2td37pGCOC","Qy55tPpLXF","2DQ55sFlQl","N41Kp7NANJ"],"dependent_operators":["sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"Inf","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6349","layer":4},{"info":"number node, value=1293","layer":4},{"info":"compute binary expreesion, left_input=6349, right_input=1293, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=5587","layer":4},{"info":"compute unary expreesion, input=5587, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-11174","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-11174, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-22475","layer":2},{"info":"compute unary expreesion, input=-22475, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-22475","layer":1},{"info":"compute unary expreesion, input=-22475, 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":0}],"base":10,"result_base":10,"text":"(⩦⩻⨪(⊺⇮6349⨵⪆⊺⇮1293)⋥≓≎(⊺⇮5587≋⫹))⊪=Inf","reverse_text":"Inf=(⩦⩻⨪(⊺⇮6349⨵⪆⊺⇮1293)⋥≓≎(⊺⇮5587≋⫹))⊪","cot":[{"info":"⊺⇮6349⨵⪆⊺⇮1293=⊺⇮160","layer":3},{"info":"⊺⇮5587≋⫹=⊺⇮-11174","layer":3},{"info":"⊺⇮160⋥≓≎⊺⇮-11174=⊺⇮-22475","layer":2},{"info":"⩦⩻⨪⊺⇮-22475=⊺⇮-22475","layer":1},{"info":"⊺⇮-22475⊪=Inf","layer":0}]}
{"id":990,"expression_no_base_symbol":"((($2120$⨎$1513$)≎⊠⪸($3397$↪⪝))∀⇚≩((⊙↵-$2423$)⨳⩥⨓($1177$⪨≂$2942$)))⇷(($1040$≎⊠⪸$2190$)≫≃)⨟⋌⩍($7239$⋥≓≎$2745$↙(⨰⫟⨤$2315$))","expression":"(((⊺⇮2120⨎⊺⇮1513)≎⊠⪸(⊺⇮3397↪⪝))∀⇚≩((⊙↵-⊺⇮2423)⨳⩥⨓(⊺⇮1177⪨≂⊺⇮2942)))⇷((⊺⇮1040≎⊠⪸⊺⇮2190)≫≃)⨟⋌⩍(⊺⇮7239⋥≓≎⊺⇮2745↙(⨰⫟⨤⊺⇮2315))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2751916,"operation_count":14,"complexity_ratio":196565.42857142858,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2120,"base":10},"right_expr":{"type":"numeric_atoms","value":1513,"base":10}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":3397,"base":10}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2423,"base":10}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1177,"base":10},"right_expr":{"type":"numeric_atoms","value":2942,"base":10}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1040,"base":10},"right_expr":{"type":"numeric_atoms","value":2190,"base":10}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":7239,"base":10},"right_expr":{"type":"numeric_atoms","value":2745,"base":10}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2315,"base":10}}}}},"used_operators":["mp7IySMOzn","LRNGc0VcxI","bJkvcejdHO","rJVOvQCfKK","l07mrZUIn9","nCS4ZIUYfx","oWn0xqSxBt","sdazOOVcIp","rGHVDoGpnC","X99M06cbEe","yyfyN0ffXY","Qy55tPpLXF","Tw270M8GLb"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","X99M06cbEe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2120","layer":4},{"info":"number node, value=1513","layer":4},{"info":"compute binary expreesion, left_input=2120, right_input=1513, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1513","layer":3},{"info":"number node, value=3397","layer":4},{"info":"compute unary expreesion, input=3397, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=207835254","layer":3},{"info":"compute binary expreesion, left_input=1513, right_input=207835254, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=391394","layer":2},{"info":"number node, value=2423","layer":4},{"info":"compute unary expreesion, input=2423, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=1177","layer":4},{"info":"number node, value=2942","layer":4},{"info":"compute binary expreesion, left_input=1177, right_input=2942, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-3428","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=-3428, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3427","layer":2},{"info":"compute binary expreesion, left_input=391394, right_input=-3427, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1040","layer":4},{"info":"number node, value=2190","layer":4},{"info":"compute binary expreesion, left_input=1040, right_input=2190, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=268887","layer":3},{"info":"compute unary expreesion, input=268887, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=539175","layer":2},{"info":"number node, value=7239","layer":4},{"info":"number node, value=2745","layer":4},{"info":"compute binary expreesion, left_input=7239, right_input=2745, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1716","layer":3},{"info":"number node, value=2315","layer":4},{"info":"compute unary expreesion, input=2315, 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=-1716, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-1716","layer":2},{"info":"compute binary expreesion, left_input=539175, 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":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":10,"result_base":10,"text":"(((⊺⇮2120⨎⊺⇮1513)≎⊠⪸(⊺⇮3397↪⪝))∀⇚≩((⊙↵-⊺⇮2423)⨳⩥⨓(⊺⇮1177⪨≂⊺⇮2942)))⇷((⊺⇮1040≎⊠⪸⊺⇮2190)≫≃)⨟⋌⩍(⊺⇮7239⋥≓≎⊺⇮2745↙(⨰⫟⨤⊺⇮2315))=NaN","reverse_text":"NaN=(((⊺⇮2120⨎⊺⇮1513)≎⊠⪸(⊺⇮3397↪⪝))∀⇚≩((⊙↵-⊺⇮2423)⨳⩥⨓(⊺⇮1177⪨≂⊺⇮2942)))⇷((⊺⇮1040≎⊠⪸⊺⇮2190)≫≃)⨟⋌⩍(⊺⇮7239⋥≓≎⊺⇮2745↙(⨰⫟⨤⊺⇮2315))","cot":[{"info":"⊺⇮2120⨎⊺⇮1513=⊺⇮1513","layer":3},{"info":"⊺⇮3397↪⪝=⊺⇮207835254","layer":3},{"info":"⊺⇮1513≎⊠⪸⊺⇮207835254=⊺⇮391394","layer":2},{"info":"⊙↵-⊺⇮2423=⊺⇮-1","layer":3},{"info":"⊺⇮1177⪨≂⊺⇮2942=⊺⇮-3428","layer":3},{"info":"⊺⇮-1⨳⩥⨓⊺⇮-3428=⊺⇮-3427","layer":2},{"info":"⊺⇮391394∀⇚≩⊺⇮-3427=NaN","layer":1},{"info":"⊺⇮1040≎⊠⪸⊺⇮2190=⊺⇮268887","layer":3},{"info":"⊺⇮268887≫≃=⊺⇮539175","layer":2},{"info":"⊺⇮7239⋥≓≎⊺⇮2745=⊺⇮-1716","layer":3},{"info":"⨰⫟⨤⊺⇮2315=NaN","layer":3},{"info":"⊺⇮-1716↙NaN=⊺⇮-1716","layer":2},{"info":"⊺⇮539175⨟⋌⩍⊺⇮-1716=NaN","layer":1},{"info":"NaN⇷NaN=NaN","layer":0}]}
{"id":991,"expression_no_base_symbol":"((↣≠⋷$1053$)⨵⪆$3900$⊉≛↸$4415$)⋝⋈⪟((⊙↵-$7224$)≧⫂∧($3015$≋⫹))≭(($4516$⊘)⪒$1280$≎⊠⪸$2669$)⇷(∥⊫(+⊝⨔$2447$))","expression":"((↣≠⋷⊺⇮1053)⨵⪆⊺⇮3900⊉≛↸⊺⇮4415)⋝⋈⪟((⊙↵-⊺⇮7224)≧⫂∧(⊺⇮3015≋⫹))≭((⊺⇮4516⊘)⪒⊺⇮1280≎⊠⪸⊺⇮2669)⇷(∥⊫(+⊝⨔⊺⇮2447))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4642285,"operation_count":14,"complexity_ratio":331591.78571428574,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1053,"base":10}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3900,"base":10},"right_expr":{"type":"numeric_atoms","value":4415,"base":10}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":7224,"base":10}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":3015,"base":10}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":4516,"base":10}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1280,"base":10},"right_expr":{"type":"numeric_atoms","value":2669,"base":10}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2447,"base":10}}}}},"used_operators":["rxpJgHHUmx","2DDjHMKMc0","2DQ55sFlQl","Asc51vEJeQ","DZ8iAZOCBD","Ph9nP6C5qx","oWn0xqSxBt","N41Kp7NANJ","mp7IySMOzn","f6k1SAg4EE","gu96TGCTMs","bJkvcejdHO","P8v4zCKN1o","DhbWaqg5eL"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1053","layer":4},{"info":"compute unary expreesion, input=1053, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=3900","layer":4},{"info":"number node, value=4415","layer":4},{"info":"compute binary expreesion, left_input=3900, right_input=4415, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=7800","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7800, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=7224","layer":4},{"info":"compute unary expreesion, input=7224, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=3015","layer":4},{"info":"compute unary expreesion, input=3015, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-6030","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=-6030, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=6029","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=6029, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=160","layer":1},{"info":"number node, value=4516","layer":4},{"info":"compute unary expreesion, input=4516, 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=1280","layer":4},{"info":"number node, value=2669","layer":4},{"info":"compute binary expreesion, left_input=1280, right_input=2669, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=331047","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=331047, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-331047","layer":2},{"info":"number node, value=2447","layer":4},{"info":"compute unary expreesion, input=2447, 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=-331047, right_input=2390, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4780","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=4780, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":10,"result_base":10,"text":"((↣≠⋷⊺⇮1053)⨵⪆⊺⇮3900⊉≛↸⊺⇮4415)⋝⋈⪟((⊙↵-⊺⇮7224)≧⫂∧(⊺⇮3015≋⫹))≭((⊺⇮4516⊘)⪒⊺⇮1280≎⊠⪸⊺⇮2669)⇷(∥⊫(+⊝⨔⊺⇮2447))=NaN","reverse_text":"NaN=((↣≠⋷⊺⇮1053)⨵⪆⊺⇮3900⊉≛↸⊺⇮4415)⋝⋈⪟((⊙↵-⊺⇮7224)≧⫂∧(⊺⇮3015≋⫹))≭((⊺⇮4516⊘)⪒⊺⇮1280≎⊠⪸⊺⇮2669)⇷(∥⊫(+⊝⨔⊺⇮2447))","cot":[{"info":"↣≠⋷⊺⇮1053=NaN","layer":3},{"info":"⊺⇮3900⊉≛↸⊺⇮4415=⊺⇮7800","layer":3},{"info":"NaN⨵⪆⊺⇮7800=⊺⇮160","layer":2},{"info":"⊙↵-⊺⇮7224=⊺⇮-1","layer":3},{"info":"⊺⇮3015≋⫹=⊺⇮-6030","layer":3},{"info":"⊺⇮-1≧⫂∧⊺⇮-6030=⊺⇮6029","layer":2},{"info":"⊺⇮160⋝⋈⪟⊺⇮6029=⊺⇮160","layer":1},{"info":"⊺⇮4516⊘=⊺⇮0","layer":3},{"info":"⊺⇮1280≎⊠⪸⊺⇮2669=⊺⇮331047","layer":3},{"info":"⊺⇮0⪒⊺⇮331047=⊺⇮-331047","layer":2},{"info":"+⊝⨔⊺⇮2447=⊺⇮1522","layer":3},{"info":"∥⊫⊺⇮1522=⊺⇮2390","layer":2},{"info":"⊺⇮-331047⇷⊺⇮2390=⊺⇮4780","layer":1},{"info":"⊺⇮160≭⊺⇮4780=NaN","layer":0}]}
{"id":992,"expression_no_base_symbol":"((($3127$⪐)⨪↰⇹($4907$≭$6417$))⇷(($3712$⩨$1922$)⨎$2678$∑⇟⊟$1715$))↬(($6560$/$1578$)⨟⋌⩍($1979$⨁⊸⫻)-(⨞⊢$1925$⊴$3922$))","expression":"(((⊺⇮3127⪐)⨪↰⇹(⊺⇮4907≭⊺⇮6417))⇷((⊺⇮3712⩨⊺⇮1922)⨎⊺⇮2678∑⇟⊟⊺⇮1715))↬((⊺⇮6560/⊺⇮1578)⨟⋌⩍(⊺⇮1979⨁⊸⫻)-(⨞⊢⊺⇮1925⊴⊺⇮3922))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":97763,"operation_count":14,"complexity_ratio":6983.071428571428,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":3127,"base":10}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4907,"base":10},"right_expr":{"type":"numeric_atoms","value":6417,"base":10}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3712,"base":10},"right_expr":{"type":"numeric_atoms","value":1922,"base":10}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2678,"base":10},"right_expr":{"type":"numeric_atoms","value":1715,"base":10}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":6560,"base":10},"right_expr":{"type":"numeric_atoms","value":1578,"base":10}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1979,"base":10}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1925,"base":10},"right_expr":{"type":"numeric_atoms","value":3922,"base":10}}}}},"used_operators":["B5M0gjZbta","mp7IySMOzn","tmPS8pqC7x","eH2TOUuTDT","rxpJgHHUmx","rJVOvQCfKK","2DlMacCsIx","U7g4x0WXJJ","rysDP5nf3Z","rGHVDoGpnC","XhwjNDsVaA","glklzrTFfD","xUOZtlo3hN","Nsiff2A1zJ"],"dependent_operators":["rGHVDoGpnC","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=3127","layer":4},{"info":"compute unary expreesion, input=3127, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=6254","layer":3},{"info":"number node, value=4907","layer":4},{"info":"number node, value=6417","layer":4},{"info":"compute binary expreesion, left_input=4907, right_input=6417, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=6254, 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=6254","layer":2},{"info":"number node, value=3712","layer":4},{"info":"number node, value=1922","layer":4},{"info":"compute binary expreesion, left_input=3712, right_input=1922, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=2678","layer":4},{"info":"number node, value=1715","layer":4},{"info":"compute binary expreesion, left_input=2678, right_input=1715, 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 = 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=6254, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"number node, value=6560","layer":4},{"info":"number node, value=1578","layer":4},{"info":"compute binary expreesion, left_input=6560, right_input=1578, op_id = XhwjNDsVaA binary_op_definition= 'None', output=4","layer":3},{"info":"number node, value=1979","layer":4},{"info":"compute unary expreesion, input=1979, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1979","layer":3},{"info":"compute binary expreesion, left_input=4, right_input=1979, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1925","layer":4},{"info":"number node, value=3922","layer":4},{"info":"compute binary expreesion, left_input=1925, right_input=3922, 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 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 = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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":10,"result_base":10,"text":"(((⊺⇮3127⪐)⨪↰⇹(⊺⇮4907≭⊺⇮6417))⇷((⊺⇮3712⩨⊺⇮1922)⨎⊺⇮2678∑⇟⊟⊺⇮1715))↬((⊺⇮6560/⊺⇮1578)⨟⋌⩍(⊺⇮1979⨁⊸⫻)-(⨞⊢⊺⇮1925⊴⊺⇮3922))=NaN","reverse_text":"NaN=(((⊺⇮3127⪐)⨪↰⇹(⊺⇮4907≭⊺⇮6417))⇷((⊺⇮3712⩨⊺⇮1922)⨎⊺⇮2678∑⇟⊟⊺⇮1715))↬((⊺⇮6560/⊺⇮1578)⨟⋌⩍(⊺⇮1979⨁⊸⫻)-(⨞⊢⊺⇮1925⊴⊺⇮3922))","cot":[{"info":"⊺⇮3127⪐=⊺⇮6254","layer":3},{"info":"⊺⇮4907≭⊺⇮6417=NaN","layer":3},{"info":"⊺⇮6254⨪↰⇹NaN=⊺⇮6254","layer":2},{"info":"⊺⇮3712⩨⊺⇮1922=⊺⇮0","layer":3},{"info":"⊺⇮2678∑⇟⊟⊺⇮1715=NaN","layer":3},{"info":"⊺⇮0⨎NaN=NaN","layer":2},{"info":"⊺⇮6254⇷NaN=NaN","layer":1},{"info":"⊺⇮6560/⊺⇮1578=⊺⇮4","layer":3},{"info":"⊺⇮1979⨁⊸⫻=⊺⇮1979","layer":3},{"info":"⊺⇮4⨟⋌⩍⊺⇮1979=NaN","layer":2},{"info":"⊺⇮1925⊴⊺⇮3922=NaN","layer":3},{"info":"⨞⊢NaN=NaN","layer":2},{"info":"NaN-NaN=NaN","layer":1},{"info":"NaN↬NaN=NaN","layer":0}]}
{"id":993,"expression_no_base_symbol":"⇁⨣⪵($2862$≎⊠⪸$1208$↛⩡⫤)↬($3350$⊴$1314$+(⊄⩳↩$1889$))","expression":"⇁⨣⪵(⊺⇮2862≎⊠⪸⊺⇮1208↛⩡⫤)↬(⊺⇮3350⊴⊺⇮1314+(⊄⩳↩⊺⇮1889))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2224395,"operation_count":7,"complexity_ratio":317770.71428571426,"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":2862,"base":10},"right_expr":{"type":"numeric_atoms","value":1208,"base":10}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3350,"base":10},"right_expr":{"type":"numeric_atoms","value":1314,"base":10}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1889,"base":10}}}}},"used_operators":["inkyxCbjAn","B5M0gjZbta","FU0Cs4j7VP","bJkvcejdHO","W4YGzv6Whe","Nsiff2A1zJ","8w2t5hMYqp"],"dependent_operators":["B5M0gjZbta","rGHVDoGpnC","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2862","layer":4},{"info":"number node, value=1208","layer":4},{"info":"compute binary expreesion, left_input=2862, right_input=1208, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=740785","layer":3},{"info":"compute unary expreesion, input=740785, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-111854624","layer":2},{"info":"number node, value=3350","layer":4},{"info":"number node, value=1314","layer":4},{"info":"compute binary expreesion, left_input=3350, right_input=1314, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1889","layer":4},{"info":"compute unary expreesion, input=1889, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-5667","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5667, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-111854624, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⇁⨣⪵(⊺⇮2862≎⊠⪸⊺⇮1208↛⩡⫤)↬(⊺⇮3350⊴⊺⇮1314+(⊄⩳↩⊺⇮1889))=NaN","reverse_text":"NaN=⇁⨣⪵(⊺⇮2862≎⊠⪸⊺⇮1208↛⩡⫤)↬(⊺⇮3350⊴⊺⇮1314+(⊄⩳↩⊺⇮1889))","cot":[{"info":"⊺⇮2862≎⊠⪸⊺⇮1208=⊺⇮740785","layer":3},{"info":"⊺⇮740785↛⩡⫤=⊺⇮-111854624","layer":2},{"info":"⊺⇮3350⊴⊺⇮1314=NaN","layer":3},{"info":"⊄⩳↩⊺⇮1889=⊺⇮-5667","layer":3},{"info":"NaN+⊺⇮-5667=NaN","layer":2},{"info":"⊺⇮-111854624↬NaN=NaN","layer":1},{"info":"⇁⨣⪵NaN=NaN","layer":0}]}
{"id":994,"expression_no_base_symbol":"(($5558$⇷$3021$)⇷($7934$⨐⩸⫘$8861$))∼(($3135$⪄$2448$)⇷($3521$/$2518$))↙((∥⊫$1529$⩷∴$2279$)⇋≉)","expression":"((⊺⇮5558⇷⊺⇮3021)⇷(⊺⇮7934⨐⩸⫘⊺⇮8861))∼((⊺⇮3135⪄⊺⇮2448)⇷(⊺⇮3521/⊺⇮2518))↙((∥⊫⊺⇮1529⩷∴⊺⇮2279)⇋≉)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6740611,"operation_count":11,"complexity_ratio":612782.8181818182,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":5558,"base":10},"right_expr":{"type":"numeric_atoms","value":3021,"base":10}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":7934,"base":10},"right_expr":{"type":"numeric_atoms","value":8861,"base":10}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3135,"base":10},"right_expr":{"type":"numeric_atoms","value":2448,"base":10}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3521,"base":10},"right_expr":{"type":"numeric_atoms","value":2518,"base":10}}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1529,"base":10},"right_expr":{"type":"numeric_atoms","value":2279,"base":10}}}}},"used_operators":["yyfyN0ffXY","DyGG3AbaNP","mp7IySMOzn","fu6greOZ01","SUmda5xLS4","XhwjNDsVaA","XIabStNQrY","P8v4zCKN1o","9FxExcQeMw"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","3ViojmjbAp","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5558","layer":4},{"info":"number node, value=3021","layer":4},{"info":"compute binary expreesion, left_input=5558, right_input=3021, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6042","layer":3},{"info":"number node, value=7934","layer":4},{"info":"number node, value=8861","layer":4},{"info":"compute binary expreesion, left_input=7934, right_input=8861, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=6042, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"number node, value=3135","layer":4},{"info":"number node, value=2448","layer":4},{"info":"compute binary expreesion, left_input=3135, right_input=2448, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-469861","layer":3},{"info":"number node, value=3521","layer":4},{"info":"number node, value=2518","layer":4},{"info":"compute binary expreesion, left_input=3521, right_input=2518, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=-469861, right_input=1, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":1},{"info":"number node, value=1529","layer":4},{"info":"number node, value=2279","layer":4},{"info":"compute binary expreesion, left_input=1529, right_input=2279, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-1532","layer":3},{"info":"compute unary expreesion, input=-1532, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=-55","layer":2},{"info":"compute unary expreesion, input=-55, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-208","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-208, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮5558⇷⊺⇮3021)⇷(⊺⇮7934⨐⩸⫘⊺⇮8861))∼((⊺⇮3135⪄⊺⇮2448)⇷(⊺⇮3521/⊺⇮2518))↙((∥⊫⊺⇮1529⩷∴⊺⇮2279)⇋≉)=⊺⇮0","reverse_text":"⊺⇮0=((⊺⇮5558⇷⊺⇮3021)⇷(⊺⇮7934⨐⩸⫘⊺⇮8861))∼((⊺⇮3135⪄⊺⇮2448)⇷(⊺⇮3521/⊺⇮2518))↙((∥⊫⊺⇮1529⩷∴⊺⇮2279)⇋≉)","cot":[{"info":"⊺⇮5558⇷⊺⇮3021=⊺⇮6042","layer":3},{"info":"⊺⇮7934⨐⩸⫘⊺⇮8861=NaN","layer":3},{"info":"⊺⇮6042⇷NaN=NaN","layer":2},{"info":"⊺⇮3135⪄⊺⇮2448=⊺⇮-469861","layer":3},{"info":"⊺⇮3521/⊺⇮2518=⊺⇮1","layer":3},{"info":"⊺⇮-469861⇷⊺⇮1=⊺⇮2","layer":2},{"info":"NaN∼⊺⇮2=⊺⇮0","layer":1},{"info":"⊺⇮1529⩷∴⊺⇮2279=⊺⇮-1532","layer":3},{"info":"∥⊫⊺⇮-1532=⊺⇮-55","layer":2},{"info":"⊺⇮-55⇋≉=⊺⇮-208","layer":1},{"info":"⊺⇮0↙⊺⇮-208=⊺⇮0","layer":0}]}
{"id":995,"expression_no_base_symbol":"⪝⪂⫅(((↽≂$6687$)≫≃)⋥≓≎($7289$⨓$3270$)≹⇙⪍($3532$⪨≂$1685$))","expression":"⪝⪂⫅(((↽≂⊺⇮6687)≫≃)⋥≓≎(⊺⇮7289⨓⊺⇮3270)≹⇙⪍(⊺⇮3532⪨≂⊺⇮1685))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3364,"operation_count":7,"complexity_ratio":480.57142857142856,"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":6687,"base":10}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":7289,"base":10},"right_expr":{"type":"numeric_atoms","value":3270,"base":10}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3532,"base":10},"right_expr":{"type":"numeric_atoms","value":1685,"base":10}}}}},"used_operators":["XTarYq4gQB","Qy55tPpLXF","X99M06cbEe","u6S6b8DprG","AHs5Up7iyr","3ViojmjbAp","sdazOOVcIp"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd"],"result":"⊺⇮-9849","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6687","layer":4},{"info":"compute unary expreesion, input=6687, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-13374","layer":3},{"info":"compute unary expreesion, input=-13374, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=-25347","layer":2},{"info":"number node, value=7289","layer":4},{"info":"number node, value=3270","layer":4},{"info":"compute binary expreesion, left_input=7289, right_input=3270, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3273","layer":3},{"info":"number node, value=3532","layer":4},{"info":"number node, value=1685","layer":4},{"info":"compute binary expreesion, left_input=3532, right_input=1685, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=3796","layer":3},{"info":"compute binary expreesion, left_input=-3273, right_input=3796, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=-25347, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-9849","layer":0}],"base":10,"result_base":10,"text":"⪝⪂⫅(((↽≂⊺⇮6687)≫≃)⋥≓≎(⊺⇮7289⨓⊺⇮3270)≹⇙⪍(⊺⇮3532⪨≂⊺⇮1685))=⊺⇮-9849","reverse_text":"⊺⇮-9849=⪝⪂⫅(((↽≂⊺⇮6687)≫≃)⋥≓≎(⊺⇮7289⨓⊺⇮3270)≹⇙⪍(⊺⇮3532⪨≂⊺⇮1685))","cot":[{"info":"↽≂⊺⇮6687=⊺⇮-13374","layer":3},{"info":"⊺⇮-13374≫≃=⊺⇮-25347","layer":2},{"info":"⊺⇮7289⨓⊺⇮3270=⊺⇮-3273","layer":3},{"info":"⊺⇮3532⪨≂⊺⇮1685=⊺⇮3796","layer":3},{"info":"⊺⇮-3273≹⇙⪍⊺⇮3796=NaN","layer":2},{"info":"⊺⇮-25347⋥≓≎NaN=⊺⇮67","layer":1},{"info":"⪝⪂⫅⊺⇮67=⊺⇮-9849","layer":0}]}
{"id":996,"expression_no_base_symbol":"(($1154$⊭↱$1768$)⪮%⊝($5661$≧⫂∧$2569$))⊴($6139$+⇶⊼$1204$⪄($1140$↪⪝))-((↔(↯⪼$5888$))⇋≉)","expression":"((⊺⇮1154⊭↱⊺⇮1768)⪮%⊝(⊺⇮5661≧⫂∧⊺⇮2569))⊴(⊺⇮6139+⇶⊼⊺⇮1204⪄(⊺⇮1140↪⪝))-((↔(↯⪼⊺⇮5888))⇋≉)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4769,"operation_count":11,"complexity_ratio":433.54545454545456,"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":1154,"base":10},"right_expr":{"type":"numeric_atoms","value":1768,"base":10}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":5661,"base":10},"right_expr":{"type":"numeric_atoms","value":2569,"base":10}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":6139,"base":10},"right_expr":{"type":"numeric_atoms","value":1204,"base":10}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1140,"base":10}}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":5888,"base":10}}}}},"used_operators":["rysDP5nf3Z","Nsiff2A1zJ","IWmyXbctLI","COABgblf1C","Ph9nP6C5qx","SUmda5xLS4","TpPTUOHfaN","l07mrZUIn9","XIabStNQrY","ruOEQAzv1W","8jW3W4yZS5"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","AHs5Up7iyr","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1154","layer":4},{"info":"number node, value=1768","layer":4},{"info":"compute binary expreesion, left_input=1154, right_input=1768, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=1233","layer":3},{"info":"number node, value=5661","layer":4},{"info":"number node, value=2569","layer":4},{"info":"compute binary expreesion, left_input=5661, right_input=2569, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2096","layer":3},{"info":"compute binary expreesion, left_input=1233, right_input=2096, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2782","layer":2},{"info":"number node, value=6139","layer":4},{"info":"number node, value=1204","layer":4},{"info":"compute binary expreesion, left_input=6139, right_input=1204, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=1140","layer":4},{"info":"compute unary expreesion, input=1140, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=69747480","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=69747480, 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=2782, right_input=3979, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=5888","layer":4},{"info":"compute unary expreesion, input=5888, 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 = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=831","layer":2},{"info":"compute unary expreesion, input=831, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=1564","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1564, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1154⊭↱⊺⇮1768)⪮%⊝(⊺⇮5661≧⫂∧⊺⇮2569))⊴(⊺⇮6139+⇶⊼⊺⇮1204⪄(⊺⇮1140↪⪝))-((↔(↯⪼⊺⇮5888))⇋≉)=NaN","reverse_text":"NaN=((⊺⇮1154⊭↱⊺⇮1768)⪮%⊝(⊺⇮5661≧⫂∧⊺⇮2569))⊴(⊺⇮6139+⇶⊼⊺⇮1204⪄(⊺⇮1140↪⪝))-((↔(↯⪼⊺⇮5888))⇋≉)","cot":[{"info":"⊺⇮1154⊭↱⊺⇮1768=⊺⇮1233","layer":3},{"info":"⊺⇮5661≧⫂∧⊺⇮2569=⊺⇮2096","layer":3},{"info":"⊺⇮1233⪮%⊝⊺⇮2096=⊺⇮2782","layer":2},{"info":"⊺⇮6139+⇶⊼⊺⇮1204=NaN","layer":3},{"info":"⊺⇮1140↪⪝=⊺⇮69747480","layer":3},{"info":"NaN⪄⊺⇮69747480=⊺⇮3979","layer":2},{"info":"⊺⇮2782⊴⊺⇮3979=NaN","layer":1},{"info":"↯⪼⊺⇮5888=⊺⇮-21","layer":3},{"info":"↔⊺⇮-21=⊺⇮831","layer":2},{"info":"⊺⇮831⇋≉=⊺⇮1564","layer":1},{"info":"NaN-⊺⇮1564=NaN","layer":0}]}
{"id":997,"expression_no_base_symbol":"⩦⩻⨪(⨑⩽⪐($7658$↬$3113$)⊴($1087$⨳⩥⨓$7454$))","expression":"⩦⩻⨪(⨑⩽⪐(⊺⇮7658↬⊺⇮3113)⊴(⊺⇮1087⨳⩥⨓⊺⇮7454))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":6387,"operation_count":5,"complexity_ratio":1277.4,"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":7658,"base":10},"right_expr":{"type":"numeric_atoms","value":3113,"base":10}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1087,"base":10},"right_expr":{"type":"numeric_atoms","value":7454,"base":10}}}}},"used_operators":["2td37pGCOC","AF7qkfDlqP","Nsiff2A1zJ","B5M0gjZbta","nCS4ZIUYfx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=7658","layer":4},{"info":"number node, value=3113","layer":4},{"info":"compute binary expreesion, left_input=7658, right_input=3113, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1087","layer":4},{"info":"number node, value=7454","layer":4},{"info":"compute binary expreesion, left_input=1087, right_input=7454, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=6367","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6367, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴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 unary expreesion, input=nan, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⩦⩻⨪(⨑⩽⪐(⊺⇮7658↬⊺⇮3113)⊴(⊺⇮1087⨳⩥⨓⊺⇮7454))=NaN","reverse_text":"NaN=⩦⩻⨪(⨑⩽⪐(⊺⇮7658↬⊺⇮3113)⊴(⊺⇮1087⨳⩥⨓⊺⇮7454))","cot":[{"info":"⊺⇮7658↬⊺⇮3113=NaN","layer":3},{"info":"⊺⇮1087⨳⩥⨓⊺⇮7454=⊺⇮6367","layer":3},{"info":"NaN⊴⊺⇮6367=NaN","layer":2},{"info":"⨑⩽⪐NaN=NaN","layer":1},{"info":"⩦⩻⨪NaN=NaN","layer":0}]}
{"id":998,"expression_no_base_symbol":"(⫛⫱⨽($7493$⫸⊐$2628$⋷(⊄⩳↩$3206$)))⫡⨏(⩦⩻⨪$1756$)⨪↰⇹($8522$%$6679$)⊉≛↸($2025$⪨≂$5849$⋷(⫛⫱⨽$4345$))","expression":"(⫛⫱⨽(⊺⇮7493⫸⊐⊺⇮2628⋷(⊄⩳↩⊺⇮3206)))⫡⨏(⩦⩻⨪⊺⇮1756)⨪↰⇹(⊺⇮8522%⊺⇮6679)⊉≛↸(⊺⇮2025⪨≂⊺⇮5849⋷(⫛⫱⨽⊺⇮4345))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4650,"operation_count":12,"complexity_ratio":387.5,"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":7493,"base":10},"right_expr":{"type":"numeric_atoms","value":2628,"base":10}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":3206,"base":10}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1756,"base":10}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":8522,"base":10},"right_expr":{"type":"numeric_atoms","value":6679,"base":10}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2025,"base":10},"right_expr":{"type":"numeric_atoms","value":5849,"base":10}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":4345,"base":10}}}}},"used_operators":["QMFrweE19q","DlLNRPXxWL","23Mk6UjR3U","mqXw5SEYmG","8w2t5hMYqp","DZ8iAZOCBD","tmPS8pqC7x","2td37pGCOC","k8jYdgA6NY","sdazOOVcIp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"⊺⇮7807","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7493","layer":4},{"info":"number node, value=2628","layer":4},{"info":"compute binary expreesion, left_input=7493, right_input=2628, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=10387","layer":3},{"info":"number node, value=3206","layer":4},{"info":"compute unary expreesion, input=3206, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-9618","layer":3},{"info":"compute binary expreesion, left_input=10387, right_input=-9618, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-29623","layer":2},{"info":"compute unary expreesion, input=-29623, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"number node, value=1756","layer":4},{"info":"compute unary expreesion, input=1756, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1756","layer":3},{"info":"number node, value=8522","layer":4},{"info":"number node, value=6679","layer":4},{"info":"compute binary expreesion, left_input=8522, right_input=6679, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1843","layer":3},{"info":"compute binary expreesion, left_input=1756, right_input=1843, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1756","layer":2},{"info":"number node, value=2025","layer":4},{"info":"number node, value=5849","layer":4},{"info":"compute binary expreesion, left_input=2025, right_input=5849, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-7546","layer":3},{"info":"number node, value=4345","layer":4},{"info":"compute unary expreesion, input=4345, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-7546, right_input=0, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=15092","layer":2},{"info":"compute binary expreesion, left_input=1756, right_input=15092, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3512","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=3512, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=7807","layer":0}],"base":10,"result_base":10,"text":"(⫛⫱⨽(⊺⇮7493⫸⊐⊺⇮2628⋷(⊄⩳↩⊺⇮3206)))⫡⨏(⩦⩻⨪⊺⇮1756)⨪↰⇹(⊺⇮8522%⊺⇮6679)⊉≛↸(⊺⇮2025⪨≂⊺⇮5849⋷(⫛⫱⨽⊺⇮4345))=⊺⇮7807","reverse_text":"⊺⇮7807=(⫛⫱⨽(⊺⇮7493⫸⊐⊺⇮2628⋷(⊄⩳↩⊺⇮3206)))⫡⨏(⩦⩻⨪⊺⇮1756)⨪↰⇹(⊺⇮8522%⊺⇮6679)⊉≛↸(⊺⇮2025⪨≂⊺⇮5849⋷(⫛⫱⨽⊺⇮4345))","cot":[{"info":"⊺⇮7493⫸⊐⊺⇮2628=⊺⇮10387","layer":3},{"info":"⊄⩳↩⊺⇮3206=⊺⇮-9618","layer":3},{"info":"⊺⇮10387⋷⊺⇮-9618=⊺⇮-29623","layer":2},{"info":"⫛⫱⨽⊺⇮-29623=⊺⇮0","layer":1},{"info":"⩦⩻⨪⊺⇮1756=⊺⇮1756","layer":3},{"info":"⊺⇮8522%⊺⇮6679=⊺⇮1843","layer":3},{"info":"⊺⇮1756⨪↰⇹⊺⇮1843=⊺⇮1756","layer":2},{"info":"⊺⇮2025⪨≂⊺⇮5849=⊺⇮-7546","layer":3},{"info":"⫛⫱⨽⊺⇮4345=⊺⇮0","layer":3},{"info":"⊺⇮-7546⋷⊺⇮0=⊺⇮15092","layer":2},{"info":"⊺⇮1756⊉≛↸⊺⇮15092=⊺⇮3512","layer":1},{"info":"⊺⇮0⫡⨏⊺⇮3512=⊺⇮7807","layer":0}]}
{"id":999,"expression_no_base_symbol":"((↯⪼$3351$)⋓($1894$⨽$1208$))≹⇙⪍(⨞⊢($1432$-$2516$))⨎(((⫓⪴$3879$)⪨≂$6553$⨐⩸⫘$1776$)⫥∨⫟($1030$⩚⊴⇥$6778$⨁⊸⫻))","expression":"((↯⪼⊺⇮3351)⋓(⊺⇮1894⨽⊺⇮1208))≹⇙⪍(⨞⊢(⊺⇮1432-⊺⇮2516))⨎(((⫓⪴⊺⇮3879)⪨≂⊺⇮6553⨐⩸⫘⊺⇮1776)⫥∨⫟(⊺⇮1030⩚⊴⇥⊺⇮6778⨁⊸⫻))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":834096,"operation_count":13,"complexity_ratio":64161.230769230766,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":3351,"base":10}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1894,"base":10},"right_expr":{"type":"numeric_atoms","value":1208,"base":10}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1432,"base":10},"right_expr":{"type":"numeric_atoms","value":2516,"base":10}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":3879,"base":10}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":6553,"base":10},"right_expr":{"type":"numeric_atoms","value":1776,"base":10}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1030,"base":10},"right_expr":{"type":"numeric_atoms","value":6778,"base":10}}}}},"used_operators":["rJVOvQCfKK","AHs5Up7iyr","T2fj7uvVaJ","8jW3W4yZS5","8HhzD0ZcuI","xUOZtlo3hN","rysDP5nf3Z","KYD54nUTWz","sdazOOVcIp","eLxqMNBOBk","fu6greOZ01","glklzrTFfD","NTOWxs364D"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3351","layer":4},{"info":"compute unary expreesion, input=3351, 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=1894","layer":4},{"info":"number node, value=1208","layer":4},{"info":"compute binary expreesion, left_input=1894, right_input=1208, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-10764018","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-10764018, op_id = T2fj7uvVaJ binary_op_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=1432","layer":4},{"info":"number node, value=2516","layer":4},{"info":"compute binary expreesion, left_input=1432, right_input=2516, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1084","layer":3},{"info":"compute unary expreesion, input=-1084, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=910","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=910, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=3879","layer":4},{"info":"compute unary expreesion, input=3879, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=15046641","layer":3},{"info":"number node, value=6553","layer":4},{"info":"number node, value=1776","layer":4},{"info":"compute binary expreesion, left_input=6553, right_input=1776, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=15046641, 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=1030","layer":4},{"info":"number node, value=6778","layer":4},{"info":"compute binary expreesion, left_input=1030, right_input=6778, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7929","layer":3},{"info":"compute unary expreesion, input=-7929, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=-15858","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-15858, 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 = 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":10,"result_base":10,"text":"((↯⪼⊺⇮3351)⋓(⊺⇮1894⨽⊺⇮1208))≹⇙⪍(⨞⊢(⊺⇮1432-⊺⇮2516))⨎(((⫓⪴⊺⇮3879)⪨≂⊺⇮6553⨐⩸⫘⊺⇮1776)⫥∨⫟(⊺⇮1030⩚⊴⇥⊺⇮6778⨁⊸⫻))=NaN","reverse_text":"NaN=((↯⪼⊺⇮3351)⋓(⊺⇮1894⨽⊺⇮1208))≹⇙⪍(⨞⊢(⊺⇮1432-⊺⇮2516))⨎(((⫓⪴⊺⇮3879)⪨≂⊺⇮6553⨐⩸⫘⊺⇮1776)⫥∨⫟(⊺⇮1030⩚⊴⇥⊺⇮6778⨁⊸⫻))","cot":[{"info":"↯⪼⊺⇮3351=⊺⇮-21","layer":3},{"info":"⊺⇮1894⨽⊺⇮1208=⊺⇮-10764018","layer":3},{"info":"⊺⇮-21⋓⊺⇮-10764018=⊺⇮0","layer":2},{"info":"⊺⇮1432-⊺⇮2516=⊺⇮-1084","layer":3},{"info":"⨞⊢⊺⇮-1084=⊺⇮910","layer":2},{"info":"⊺⇮0≹⇙⪍⊺⇮910=NaN","layer":1},{"info":"⫓⪴⊺⇮3879=⊺⇮15046641","layer":3},{"info":"⊺⇮6553⨐⩸⫘⊺⇮1776=NaN","layer":3},{"info":"⊺⇮15046641⪨≂NaN=NaN","layer":2},{"info":"⊺⇮1030⩚⊴⇥⊺⇮6778=⊺⇮-7929","layer":3},{"info":"⊺⇮-7929⨁⊸⫻=⊺⇮-15858","layer":2},{"info":"NaN⫥∨⫟⊺⇮-15858=NaN","layer":1},{"info":"NaN⨎NaN=NaN","layer":0}]}
{"id":1000,"expression_no_base_symbol":"⊄⩳↩(($2670$⋷$1453$)∼($2282$⨵⪆$9124$)⊠≄⫣)","expression":"⊄⩳↩((⊺⇮2670⋷⊺⇮1453)∼(⊺⇮2282⨵⪆⊺⇮9124)⊠≄⫣)","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":674,"operation_count":5,"complexity_ratio":134.8,"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":2670,"base":10},"right_expr":{"type":"numeric_atoms","value":1453,"base":10}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2282,"base":10},"right_expr":{"type":"numeric_atoms","value":9124,"base":10}}}}},"used_operators":["8w2t5hMYqp","DIvbN7qnHd","DyGG3AbaNP","23Mk6UjR3U","2DQ55sFlQl"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=2670","layer":4},{"info":"number node, value=1453","layer":4},{"info":"compute binary expreesion, left_input=2670, right_input=1453, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=236","layer":3},{"info":"number node, value=2282","layer":4},{"info":"number node, value=9124","layer":4},{"info":"compute binary expreesion, left_input=2282, right_input=9124, 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=236, 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":"compute unary expreesion, input=0, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', 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":10,"result_base":10,"text":"⊄⩳↩((⊺⇮2670⋷⊺⇮1453)∼(⊺⇮2282⨵⪆⊺⇮9124)⊠≄⫣)=⊺⇮0","reverse_text":"⊺⇮0=⊄⩳↩((⊺⇮2670⋷⊺⇮1453)∼(⊺⇮2282⨵⪆⊺⇮9124)⊠≄⫣)","cot":[{"info":"⊺⇮2670⋷⊺⇮1453=⊺⇮236","layer":3},{"info":"⊺⇮2282⨵⪆⊺⇮9124=⊺⇮160","layer":3},{"info":"⊺⇮236∼⊺⇮160=⊺⇮0","layer":2},{"info":"⊺⇮0⊠≄⫣=⊺⇮0","layer":1},{"info":"⊄⩳↩⊺⇮0=⊺⇮0","layer":0}]}