{"id":1,"expression_no_base_symbol":"⪝⪂⫅(⇁⨣⪵($4940$≧⫂∧$5758$)⪘⫢(⋗⩬⋾$1853$))","expression":"⪝⪂⫅(⇁⨣⪵(⋰*⋻3791≧⫂∧⋰*⋻4365)⪘⫢(⋗⩬⋾⋰*⋻1435))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":18,"operation_count":5,"complexity_ratio":3.6,"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":4940,"base":11},"right_expr":{"type":"numeric_atoms","value":5758,"base":11}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1853,"base":11}}}}},"used_operators":["XTarYq4gQB","inkyxCbjAn","oacrs7FA3X","Ph9nP6C5qx","DpFCA1CohY"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","B5M0gjZbta","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4940","layer":4},{"info":"number node, value=5758","layer":4},{"info":"compute binary expreesion, left_input=4940, right_input=5758, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5285","layer":3},{"info":"number node, value=1853","layer":4},{"info":"compute unary expreesion, input=1853, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-5559","layer":3},{"info":"compute binary expreesion, left_input=5285, right_input=-5559, 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 = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=0","layer":0}],"base":11,"result_base":11,"text":"⪝⪂⫅(⇁⨣⪵(⋰*⋻3791≧⫂∧⋰*⋻4365)⪘⫢(⋗⩬⋾⋰*⋻1435))=⋰*⋻0","reverse_text":"⋰*⋻0=⪝⪂⫅(⇁⨣⪵(⋰*⋻3791≧⫂∧⋰*⋻4365)⪘⫢(⋗⩬⋾⋰*⋻1435))","cot":[{"info":"⋰*⋻3791≧⫂∧⋰*⋻4365=⋰*⋻3A75","layer":3},{"info":"⋗⩬⋾⋰*⋻1435=⋰*⋻-41A4","layer":3},{"info":"⋰*⋻3A75⪘⫢⋰*⋻-41A4=⋰*⋻0","layer":2},{"info":"⇁⨣⪵⋰*⋻0=⋰*⋻0","layer":1},{"info":"⪝⪂⫅⋰*⋻0=⋰*⋻0","layer":0}]}
{"id":2,"expression_no_base_symbol":"≤/((⇁⨣⪵$7379$)+⇶⊼($3614$⇋≉)⩨(⊄⩳↩($1998$⨵⪆$3925$)))","expression":"≤/((⇁⨣⪵⋰*⋻55A9)+⇶⊼(⋰*⋻2796⇋≉)⩨(⊄⩳↩(⋰*⋻1557⨵⪆⋰*⋻2A49)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":14,"operation_count":7,"complexity_ratio":2.0,"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":7379,"base":11}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":3614,"base":11}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1998,"base":11},"right_expr":{"type":"numeric_atoms","value":3925,"base":11}}}}},"used_operators":["eLAdDNolq6","2DlMacCsIx","TpPTUOHfaN","inkyxCbjAn","XIabStNQrY","8w2t5hMYqp","2DQ55sFlQl"],"dependent_operators":["rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","AHs5Up7iyr","B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7379","layer":4},{"info":"compute unary expreesion, input=7379, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=3614","layer":4},{"info":"compute unary expreesion, input=3614, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=7130","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7130, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=1998","layer":4},{"info":"number node, value=3925","layer":4},{"info":"compute binary expreesion, left_input=1998, right_input=3925, 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":"compute binary expreesion, left_input=nan, right_input=-480, 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 = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"≤/((⇁⨣⪵⋰*⋻55A9)+⇶⊼(⋰*⋻2796⇋≉)⩨(⊄⩳↩(⋰*⋻1557⨵⪆⋰*⋻2A49)))=NaN","reverse_text":"NaN=≤/((⇁⨣⪵⋰*⋻55A9)+⇶⊼(⋰*⋻2796⇋≉)⩨(⊄⩳↩(⋰*⋻1557⨵⪆⋰*⋻2A49)))","cot":[{"info":"⇁⨣⪵⋰*⋻55A9=NaN","layer":3},{"info":"⋰*⋻2796⇋≉=⋰*⋻53A2","layer":3},{"info":"NaN+⇶⊼⋰*⋻53A2=NaN","layer":2},{"info":"⋰*⋻1557⨵⪆⋰*⋻2A49=⋰*⋻136","layer":3},{"info":"⊄⩳↩⋰*⋻136=⋰*⋻-3A7","layer":2},{"info":"NaN⩨⋰*⋻-3A7=NaN","layer":1},{"info":"≤/NaN=NaN","layer":0}]}
{"id":3,"expression_no_base_symbol":"(($7894$⪮%⊝$5276$⪠⩆⊳)⨵⪆($7314$⨟⋌⩍$2267$⋷$4669$⇼⇔∾$1042$))⋥≓≎(((⊥$2052$)⨟⋌⩍($2878$⋓$1107$))∧)","expression":"((⋰*⋻5A27⪮%⊝⋰*⋻3A67⪠⩆⊳)⨵⪆(⋰*⋻554A⨟⋌⩍⋰*⋻1781⋷⋰*⋻3565⇼⇔∾⋰*⋻868))⋥≓≎(((⊥⋰*⋻15A6)⨟⋌⩍(⋰*⋻2187⋓⋰*⋻917))∧)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":48,"operation_count":11,"complexity_ratio":4.363636363636363,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":7894,"base":11},"right_expr":{"type":"numeric_atoms","value":5276,"base":11}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":7314,"base":11},"right_expr":{"type":"numeric_atoms","value":2267,"base":11}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":4669,"base":11},"right_expr":{"type":"numeric_atoms","value":1042,"base":11}}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":2052,"base":11}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2878,"base":11},"right_expr":{"type":"numeric_atoms","value":1107,"base":11}}}}},"used_operators":["Qy55tPpLXF","2DQ55sFlQl","JLbD19bQDL","IWmyXbctLI","23Mk6UjR3U","rGHVDoGpnC","tifHPKVTfV","z63VuFQld9","Q3PJZHRvZv","T2fj7uvVaJ"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","fu6greOZ01","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7894","layer":4},{"info":"number node, value=5276","layer":4},{"info":"compute binary expreesion, left_input=7894, right_input=5276, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=16104","layer":3},{"info":"compute unary expreesion, input=16104, 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=7314","layer":4},{"info":"number node, value=2267","layer":4},{"info":"compute binary expreesion, left_input=7314, right_input=2267, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=4669","layer":4},{"info":"number node, value=1042","layer":4},{"info":"compute binary expreesion, left_input=4669, right_input=1042, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-3627","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3627, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=2052","layer":4},{"info":"compute unary expreesion, input=2052, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=2878","layer":4},{"info":"number node, value=1107","layer":4},{"info":"compute binary expreesion, left_input=2878, right_input=1107, op_id = T2fj7uvVaJ binary_op_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 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=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":11,"result_base":11,"text":"((⋰*⋻5A27⪮%⊝⋰*⋻3A67⪠⩆⊳)⨵⪆(⋰*⋻554A⨟⋌⩍⋰*⋻1781⋷⋰*⋻3565⇼⇔∾⋰*⋻868))⋥≓≎(((⊥⋰*⋻15A6)⨟⋌⩍(⋰*⋻2187⋓⋰*⋻917))∧)=NaN","reverse_text":"NaN=((⋰*⋻5A27⪮%⊝⋰*⋻3A67⪠⩆⊳)⨵⪆(⋰*⋻554A⨟⋌⩍⋰*⋻1781⋷⋰*⋻3565⇼⇔∾⋰*⋻868))⋥≓≎(((⊥⋰*⋻15A6)⨟⋌⩍(⋰*⋻2187⋓⋰*⋻917))∧)","cot":[{"info":"⋰*⋻5A27⪮%⊝⋰*⋻3A67=⋰*⋻11110","layer":3},{"info":"⋰*⋻11110⪠⩆⊳=⋰*⋻0","layer":2},{"info":"⋰*⋻554A⨟⋌⩍⋰*⋻1781=NaN","layer":3},{"info":"⋰*⋻3565⇼⇔∾⋰*⋻868=⋰*⋻-27A8","layer":3},{"info":"NaN⋷⋰*⋻-27A8=NaN","layer":2},{"info":"⋰*⋻0⨵⪆NaN=⋰*⋻136","layer":1},{"info":"⊥⋰*⋻15A6=NaN","layer":3},{"info":"⋰*⋻2187⋓⋰*⋻917=⋰*⋻0","layer":3},{"info":"NaN⨟⋌⩍⋰*⋻0=NaN","layer":2},{"info":"NaN∧=NaN","layer":1},{"info":"⋰*⋻136⋥≓≎NaN=NaN","layer":0}]}
{"id":4,"expression_no_base_symbol":"((↔(⩦⩻⨪$1021$))↙($1695$≦≮≮)⪮%⊝$1003$⨟⋌⩍$3255$)⩠","expression":"((↔(⩦⩻⨪⋰*⋻849))↙(⋰*⋻1301≦≮≮)⪮%⊝⋰*⋻832⨟⋌⩍⋰*⋻249A)⩠","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":41,"operation_count":7,"complexity_ratio":5.857142857142857,"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":1021,"base":11}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1695,"base":11}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1003,"base":11},"right_expr":{"type":"numeric_atoms","value":3255,"base":11}}}}},"used_operators":["sJAwomhLZr","yyfyN0ffXY","ruOEQAzv1W","2td37pGCOC","IWmyXbctLI","D4vGDi5EA2","rGHVDoGpnC"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","tmPS8pqC7x","DpFCA1CohY","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr"],"result":"⋰*⋻2450","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1021","layer":4},{"info":"compute unary expreesion, input=1021, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1021","layer":3},{"info":"compute unary expreesion, input=1021, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-748","layer":2},{"info":"number node, value=1695","layer":4},{"info":"compute unary expreesion, input=1695, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-5085","layer":3},{"info":"number node, value=1003","layer":4},{"info":"number node, value=3255","layer":4},{"info":"compute binary expreesion, left_input=1003, right_input=3255, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=-5085, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-748, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-748","layer":1},{"info":"compute unary expreesion, input=-748, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=3201","layer":0}],"base":11,"result_base":11,"text":"((↔(⩦⩻⨪⋰*⋻849))↙(⋰*⋻1301≦≮≮)⪮%⊝⋰*⋻832⨟⋌⩍⋰*⋻249A)⩠=⋰*⋻2450","reverse_text":"⋰*⋻2450=((↔(⩦⩻⨪⋰*⋻849))↙(⋰*⋻1301≦≮≮)⪮%⊝⋰*⋻832⨟⋌⩍⋰*⋻249A)⩠","cot":[{"info":"⩦⩻⨪⋰*⋻849=⋰*⋻849","layer":3},{"info":"↔⋰*⋻849=⋰*⋻-620","layer":2},{"info":"⋰*⋻1301≦≮≮=⋰*⋻-3903","layer":3},{"info":"⋰*⋻832⨟⋌⩍⋰*⋻249A=NaN","layer":3},{"info":"⋰*⋻-3903⪮%⊝NaN=NaN","layer":2},{"info":"⋰*⋻-620↙NaN=⋰*⋻-620","layer":1},{"info":"⋰*⋻-620⩠=⋰*⋻2450","layer":0}]}
{"id":5,"expression_no_base_symbol":"(($5305$/$1450$)↙(↣≠⋷$1616$))≎⊠⪸($5559$≧⫂∧$4101$⪨≂$1662$⪛$6044$)↛⩡⫤","expression":"((⋰*⋻3A93/⋰*⋻10A9)↙(↣≠⋷⋰*⋻123A))≎⊠⪸(⋰*⋻41A4≧⫂∧⋰*⋻3099⪨≂⋰*⋻1281⪛⋰*⋻45A5)↛⩡⫤","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1077,"operation_count":8,"complexity_ratio":134.625,"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":5305,"base":11},"right_expr":{"type":"numeric_atoms","value":1450,"base":11}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1616,"base":11}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":5559,"base":11},"right_expr":{"type":"numeric_atoms","value":4101,"base":11}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1662,"base":11},"right_expr":{"type":"numeric_atoms","value":6044,"base":11}}}}},"used_operators":["FU0Cs4j7VP","bJkvcejdHO","yyfyN0ffXY","XhwjNDsVaA","Asc51vEJeQ","sdazOOVcIp","Ph9nP6C5qx","uFcxV4UQCh"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⋰*⋻-29606","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5305","layer":4},{"info":"number node, value=1450","layer":4},{"info":"compute binary expreesion, left_input=5305, right_input=1450, op_id = XhwjNDsVaA binary_op_definition= 'None', output=3","layer":3},{"info":"number node, value=1616","layer":4},{"info":"compute unary expreesion, input=1616, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=3","layer":2},{"info":"number node, value=5559","layer":4},{"info":"number node, value=4101","layer":4},{"info":"compute binary expreesion, left_input=5559, right_input=4101, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3628","layer":3},{"info":"number node, value=1662","layer":4},{"info":"number node, value=6044","layer":4},{"info":"compute binary expreesion, left_input=1662, right_input=6044, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1662","layer":3},{"info":"compute binary expreesion, left_input=3628, right_input=1662, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=4034","layer":2},{"info":"compute binary expreesion, left_input=3, right_input=4034, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=304","layer":1},{"info":"compute unary expreesion, input=304, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-41993","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻3A93/⋰*⋻10A9)↙(↣≠⋷⋰*⋻123A))≎⊠⪸(⋰*⋻41A4≧⫂∧⋰*⋻3099⪨≂⋰*⋻1281⪛⋰*⋻45A5)↛⩡⫤=⋰*⋻-29606","reverse_text":"⋰*⋻-29606=((⋰*⋻3A93/⋰*⋻10A9)↙(↣≠⋷⋰*⋻123A))≎⊠⪸(⋰*⋻41A4≧⫂∧⋰*⋻3099⪨≂⋰*⋻1281⪛⋰*⋻45A5)↛⩡⫤","cot":[{"info":"⋰*⋻3A93/⋰*⋻10A9=⋰*⋻3","layer":3},{"info":"↣≠⋷⋰*⋻123A=NaN","layer":3},{"info":"⋰*⋻3↙NaN=⋰*⋻3","layer":2},{"info":"⋰*⋻41A4≧⫂∧⋰*⋻3099=⋰*⋻27A9","layer":3},{"info":"⋰*⋻1281⪛⋰*⋻45A5=⋰*⋻1281","layer":3},{"info":"⋰*⋻27A9⪨≂⋰*⋻1281=⋰*⋻3038","layer":2},{"info":"⋰*⋻3≎⊠⪸⋰*⋻3038=⋰*⋻257","layer":1},{"info":"⋰*⋻257↛⩡⫤=⋰*⋻-29606","layer":0}]}
{"id":6,"expression_no_base_symbol":"(($1370$+⇶⊼$2307$)⨰($7761$⩚⊴⇥$2580$)⊭↱$1298$∑⇟⊟$3942$↙($1325$⊠≄⫣))⨽(($2819$⋥≓≎$1357$⇼⇔∾($1008$⪒$3927$))⫸⊐($5110$⋥≓≎$1617$-$1102$⨰$5101$))","expression":"((⋰*⋻1036+⇶⊼⋰*⋻1808)⨰(⋰*⋻5916⩚⊴⇥⋰*⋻1A36)⊭↱⋰*⋻A80∑⇟⊟⋰*⋻2A64↙(⋰*⋻AA5⊠≄⫣))⨽((⋰*⋻2133⋥≓≎⋰*⋻1024⇼⇔∾(⋰*⋻837⪒⋰*⋻2A50))⫸⊐(⋰*⋻3926⋥≓≎⋰*⋻1240-⋰*⋻912⨰⋰*⋻3918))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":55,"operation_count":15,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1370,"base":11},"right_expr":{"type":"numeric_atoms","value":2307,"base":11}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":7761,"base":11},"right_expr":{"type":"numeric_atoms","value":2580,"base":11}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1298,"base":11},"right_expr":{"type":"numeric_atoms","value":3942,"base":11}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1325,"base":11}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2819,"base":11},"right_expr":{"type":"numeric_atoms","value":1357,"base":11}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1008,"base":11},"right_expr":{"type":"numeric_atoms","value":3927,"base":11}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":5110,"base":11},"right_expr":{"type":"numeric_atoms","value":1617,"base":11}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1102,"base":11},"right_expr":{"type":"numeric_atoms","value":5101,"base":11}}}}},"used_operators":["8HhzD0ZcuI","COABgblf1C","eewbuw0ToL","TpPTUOHfaN","NTOWxs364D","yyfyN0ffXY","U7g4x0WXJJ","DIvbN7qnHd","mqXw5SEYmG","tifHPKVTfV","Qy55tPpLXF","f6k1SAg4EE","rysDP5nf3Z"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1370","layer":4},{"info":"number node, value=2307","layer":4},{"info":"compute binary expreesion, left_input=1370, right_input=2307, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=7761","layer":4},{"info":"number node, value=2580","layer":4},{"info":"compute binary expreesion, left_input=7761, right_input=2580, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-10462","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-10462, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"number node, value=1298","layer":4},{"info":"number node, value=3942","layer":4},{"info":"compute binary expreesion, left_input=1298, right_input=3942, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1325","layer":4},{"info":"compute unary expreesion, input=1325, 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 = 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=2819","layer":4},{"info":"number node, value=1357","layer":4},{"info":"compute binary expreesion, left_input=2819, right_input=1357, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-72","layer":3},{"info":"number node, value=1008","layer":4},{"info":"number node, value=3927","layer":4},{"info":"compute binary expreesion, left_input=1008, right_input=3927, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4935","layer":3},{"info":"compute binary expreesion, left_input=-72, right_input=-4935, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-4863","layer":2},{"info":"number node, value=5110","layer":4},{"info":"number node, value=1617","layer":4},{"info":"compute binary expreesion, left_input=5110, right_input=1617, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1843","layer":3},{"info":"number node, value=1102","layer":4},{"info":"number node, value=5101","layer":4},{"info":"compute binary expreesion, left_input=1102, right_input=5101, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-3989","layer":3},{"info":"compute binary expreesion, left_input=-1843, right_input=-3989, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2146","layer":2},{"info":"compute binary expreesion, left_input=-4863, right_input=2146, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=968, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1036+⇶⊼⋰*⋻1808)⨰(⋰*⋻5916⩚⊴⇥⋰*⋻1A36)⊭↱⋰*⋻A80∑⇟⊟⋰*⋻2A64↙(⋰*⋻AA5⊠≄⫣))⨽((⋰*⋻2133⋥≓≎⋰*⋻1024⇼⇔∾(⋰*⋻837⪒⋰*⋻2A50))⫸⊐(⋰*⋻3926⋥≓≎⋰*⋻1240-⋰*⋻912⨰⋰*⋻3918))=NaN","reverse_text":"NaN=((⋰*⋻1036+⇶⊼⋰*⋻1808)⨰(⋰*⋻5916⩚⊴⇥⋰*⋻1A36)⊭↱⋰*⋻A80∑⇟⊟⋰*⋻2A64↙(⋰*⋻AA5⊠≄⫣))⨽((⋰*⋻2133⋥≓≎⋰*⋻1024⇼⇔∾(⋰*⋻837⪒⋰*⋻2A50))⫸⊐(⋰*⋻3926⋥≓≎⋰*⋻1240-⋰*⋻912⨰⋰*⋻3918))","cot":[{"info":"⋰*⋻1036+⇶⊼⋰*⋻1808=NaN","layer":3},{"info":"⋰*⋻5916⩚⊴⇥⋰*⋻1A36=⋰*⋻-7951","layer":3},{"info":"NaN⨰⋰*⋻-7951=NaN","layer":2},{"info":"⋰*⋻A80∑⇟⊟⋰*⋻2A64=NaN","layer":3},{"info":"⋰*⋻AA5⊠≄⫣=⋰*⋻0","layer":3},{"info":"NaN↙⋰*⋻0=NaN","layer":2},{"info":"NaN⊭↱NaN=NaN","layer":1},{"info":"⋰*⋻2133⋥≓≎⋰*⋻1024=⋰*⋻-66","layer":3},{"info":"⋰*⋻837⪒⋰*⋻2A50=⋰*⋻-3787","layer":3},{"info":"⋰*⋻-66⇼⇔∾⋰*⋻-3787=⋰*⋻-3721","layer":2},{"info":"⋰*⋻3926⋥≓≎⋰*⋻1240=⋰*⋻-1426","layer":3},{"info":"⋰*⋻912⨰⋰*⋻3918=⋰*⋻-2AA7","layer":3},{"info":"⋰*⋻-1426-⋰*⋻-2AA7=⋰*⋻1681","layer":2},{"info":"⋰*⋻-3721⫸⊐⋰*⋻1681=⋰*⋻800","layer":1},{"info":"NaN⨽⋰*⋻800=NaN","layer":0}]}
{"id":7,"expression_no_base_symbol":"(⪲⇎$2428$)∑⇟⊟($2912$⪒$1883$)⩨(⇁⨣⪵$4087$)⪛($3536$⩚⊴⇥$2183$)∲⫓(⪲⇎(+⊝⨔($2202$⫩⊇)))","expression":"(⪲⇎⋰*⋻1908)∑⇟⊟(⋰*⋻2208⪒⋰*⋻1462)⩨(⇁⨣⪵⋰*⋻3086)⪛(⋰*⋻2725⩚⊴⇥⋰*⋻1705)∲⫓(⪲⇎(+⊝⨔(⋰*⋻1722⫩⊇)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":44,"operation_count":11,"complexity_ratio":4.0,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":2428,"base":11}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2912,"base":11},"right_expr":{"type":"numeric_atoms","value":1883,"base":11}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":4087,"base":11}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3536,"base":11},"right_expr":{"type":"numeric_atoms","value":2183,"base":11}}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":2202,"base":11}}}}},"used_operators":["i8ToyICDmI","2DlMacCsIx","U7g4x0WXJJ","XPYlsWDdGa","f6k1SAg4EE","uFcxV4UQCh","inkyxCbjAn","NTOWxs364D","DhbWaqg5eL","BjRHVeLaeN"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2428","layer":4},{"info":"compute unary expreesion, input=2428, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=4856","layer":3},{"info":"number node, value=2912","layer":4},{"info":"number node, value=1883","layer":4},{"info":"compute binary expreesion, left_input=2912, right_input=1883, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4795","layer":3},{"info":"compute binary expreesion, left_input=4856, right_input=-4795, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=4087","layer":4},{"info":"compute unary expreesion, input=4087, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=3536","layer":4},{"info":"number node, value=2183","layer":4},{"info":"compute binary expreesion, left_input=3536, right_input=2183, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5840","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5840, 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 = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"number node, value=2202","layer":4},{"info":"compute unary expreesion, input=2202, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-2160","layer":3},{"info":"compute unary expreesion, input=-2160, 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 = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3044","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3044, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":0}],"base":11,"result_base":11,"text":"(⪲⇎⋰*⋻1908)∑⇟⊟(⋰*⋻2208⪒⋰*⋻1462)⩨(⇁⨣⪵⋰*⋻3086)⪛(⋰*⋻2725⩚⊴⇥⋰*⋻1705)∲⫓(⪲⇎(+⊝⨔(⋰*⋻1722⫩⊇)))=⋰*⋻0","reverse_text":"⋰*⋻0=(⪲⇎⋰*⋻1908)∑⇟⊟(⋰*⋻2208⪒⋰*⋻1462)⩨(⇁⨣⪵⋰*⋻3086)⪛(⋰*⋻2725⩚⊴⇥⋰*⋻1705)∲⫓(⪲⇎(+⊝⨔(⋰*⋻1722⫩⊇)))","cot":[{"info":"⪲⇎⋰*⋻1908=⋰*⋻3715","layer":3},{"info":"⋰*⋻2208⪒⋰*⋻1462=⋰*⋻-366A","layer":3},{"info":"⋰*⋻3715∑⇟⊟⋰*⋻-366A=NaN","layer":2},{"info":"⇁⨣⪵⋰*⋻3086=NaN","layer":3},{"info":"⋰*⋻2725⩚⊴⇥⋰*⋻1705=⋰*⋻-442A","layer":3},{"info":"NaN⪛⋰*⋻-442A=NaN","layer":2},{"info":"NaN⩨NaN=NaN","layer":1},{"info":"⋰*⋻1722⫩⊇=⋰*⋻-1694","layer":3},{"info":"+⊝⨔⋰*⋻-1694=⋰*⋻1164","layer":2},{"info":"⪲⇎⋰*⋻1164=⋰*⋻2318","layer":1},{"info":"NaN∲⫓⋰*⋻2318=⋰*⋻0","layer":0}]}
{"id":8,"expression_no_base_symbol":"(≤/$3343$)⨓($6691$↪⪝)⩷∴($1050$⨟⋌⩍$2094$⫡⨏($1199$/$3500$))%((⩦⩻⨪$2873$)-$3715$⊭↱$1447$)≎⊠⪸(⨞⊢$2679$+⇶⊼$5604$)","expression":"(≤/⋰*⋻256A)⨓(⋰*⋻5033↪⪝)⩷∴(⋰*⋻875⨟⋌⩍⋰*⋻1634⫡⨏(⋰*⋻9A0/⋰*⋻26A2))%((⩦⩻⨪⋰*⋻2182)-⋰*⋻2878⊭↱⋰*⋻10A6)≎⊠⪸(⨞⊢⋰*⋻2016+⇶⊼⋰*⋻4235)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":748,"operation_count":14,"complexity_ratio":53.42857142857143,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":3343,"base":11}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":6691,"base":11}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1050,"base":11},"right_expr":{"type":"numeric_atoms","value":2094,"base":11}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1199,"base":11},"right_expr":{"type":"numeric_atoms","value":3500,"base":11}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2873,"base":11}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3715,"base":11},"right_expr":{"type":"numeric_atoms","value":1447,"base":11}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2679,"base":11},"right_expr":{"type":"numeric_atoms","value":5604,"base":11}}}}},"used_operators":["k8jYdgA6NY","9FxExcQeMw","3ViojmjbAp","eLAdDNolq6","l07mrZUIn9","QMFrweE19q","rGHVDoGpnC","XhwjNDsVaA","bJkvcejdHO","rysDP5nf3Z","2td37pGCOC","COABgblf1C","xUOZtlo3hN","TpPTUOHfaN"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3343","layer":4},{"info":"compute unary expreesion, input=3343, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2859","layer":3},{"info":"number node, value=6691","layer":4},{"info":"compute unary expreesion, input=6691, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=409368762","layer":3},{"info":"compute binary expreesion, left_input=-2859, right_input=409368762, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"number node, value=1050","layer":4},{"info":"number node, value=2094","layer":4},{"info":"compute binary expreesion, left_input=1050, right_input=2094, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1199","layer":4},{"info":"number node, value=3500","layer":4},{"info":"compute binary expreesion, left_input=1199, right_input=3500, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"number node, value=2873","layer":4},{"info":"compute unary expreesion, input=2873, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2873","layer":3},{"info":"number node, value=3715","layer":4},{"info":"number node, value=1447","layer":4},{"info":"compute binary expreesion, left_input=3715, right_input=1447, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-4531","layer":3},{"info":"compute binary expreesion, left_input=2873, right_input=-4531, op_id = rysDP5nf3Z binary_op_definition= 'None', output=7404","layer":2},{"info":"number node, value=2679","layer":4},{"info":"number node, value=5604","layer":4},{"info":"compute binary expreesion, left_input=2679, right_input=5604, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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 = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=7404, 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 = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"(≤/⋰*⋻256A)⨓(⋰*⋻5033↪⪝)⩷∴(⋰*⋻875⨟⋌⩍⋰*⋻1634⫡⨏(⋰*⋻9A0/⋰*⋻26A2))%((⩦⩻⨪⋰*⋻2182)-⋰*⋻2878⊭↱⋰*⋻10A6)≎⊠⪸(⨞⊢⋰*⋻2016+⇶⊼⋰*⋻4235)=NaN","reverse_text":"NaN=(≤/⋰*⋻256A)⨓(⋰*⋻5033↪⪝)⩷∴(⋰*⋻875⨟⋌⩍⋰*⋻1634⫡⨏(⋰*⋻9A0/⋰*⋻26A2))%((⩦⩻⨪⋰*⋻2182)-⋰*⋻2878⊭↱⋰*⋻10A6)≎⊠⪸(⨞⊢⋰*⋻2016+⇶⊼⋰*⋻4235)","cot":[{"info":"≤/⋰*⋻256A=⋰*⋻-216A","layer":3},{"info":"⋰*⋻5033↪⪝=⋰*⋻1A00948A0","layer":3},{"info":"⋰*⋻-216A⨓⋰*⋻1A00948A0=NaN","layer":2},{"info":"⋰*⋻875⨟⋌⩍⋰*⋻1634=NaN","layer":3},{"info":"⋰*⋻9A0/⋰*⋻26A2=⋰*⋻0","layer":3},{"info":"NaN⫡⨏⋰*⋻0=NaN","layer":2},{"info":"NaN⩷∴NaN=NaN","layer":1},{"info":"⩦⩻⨪⋰*⋻2182=⋰*⋻2182","layer":3},{"info":"⋰*⋻2878⊭↱⋰*⋻10A6=⋰*⋻-344A","layer":3},{"info":"⋰*⋻2182-⋰*⋻-344A=⋰*⋻5621","layer":2},{"info":"⋰*⋻2016+⇶⊼⋰*⋻4235=NaN","layer":3},{"info":"⨞⊢NaN=NaN","layer":2},{"info":"⋰*⋻5621≎⊠⪸NaN=⋰*⋻61","layer":1},{"info":"NaN%⋰*⋻61=NaN","layer":0}]}
{"id":9,"expression_no_base_symbol":"(⩦⩻⨪(↔($3118$⋝⋈⪟$2488$)))⪐","expression":"(⩦⩻⨪(↔(⋰*⋻2385⋝⋈⪟⋰*⋻1962)))⪐","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":15,"operation_count":4,"complexity_ratio":3.75,"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":3118,"base":11},"right_expr":{"type":"numeric_atoms","value":2488,"base":11}}}}},"used_operators":["eH2TOUuTDT","2td37pGCOC","ruOEQAzv1W","2DDjHMKMc0"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻-4303","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3118","layer":4},{"info":"number node, value=2488","layer":4},{"info":"compute binary expreesion, left_input=3118, right_input=2488, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3118","layer":3},{"info":"compute unary expreesion, input=3118, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2845","layer":2},{"info":"compute unary expreesion, input=-2845, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-2845","layer":1},{"info":"compute unary expreesion, input=-2845, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=-5690","layer":0}],"base":11,"result_base":11,"text":"(⩦⩻⨪(↔(⋰*⋻2385⋝⋈⪟⋰*⋻1962)))⪐=⋰*⋻-4303","reverse_text":"⋰*⋻-4303=(⩦⩻⨪(↔(⋰*⋻2385⋝⋈⪟⋰*⋻1962)))⪐","cot":[{"info":"⋰*⋻2385⋝⋈⪟⋰*⋻1962=⋰*⋻2385","layer":3},{"info":"↔⋰*⋻2385=⋰*⋻-2157","layer":2},{"info":"⩦⩻⨪⋰*⋻-2157=⋰*⋻-2157","layer":1},{"info":"⋰*⋻-2157⪐=⋰*⋻-4303","layer":0}]}
{"id":10,"expression_no_base_symbol":"(($1533$⊪)⊴($1239$⫸⊐$1705$))≹⇙⪍($1242$⩷∴$5207$↙$4848$≹⇙⪍$1746$)⨁⊸⫻","expression":"((⋰*⋻1174⊪)⊴(⋰*⋻A27⫸⊐⋰*⋻1310))≹⇙⪍(⋰*⋻A2A⩷∴⋰*⋻3A04↙⋰*⋻3708≹⇙⪍⋰*⋻1348)⨁⊸⫻","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6768,"operation_count":8,"complexity_ratio":846.0,"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":1533,"base":11}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1239,"base":11},"right_expr":{"type":"numeric_atoms","value":1705,"base":11}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1242,"base":11},"right_expr":{"type":"numeric_atoms","value":5207,"base":11}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":4848,"base":11},"right_expr":{"type":"numeric_atoms","value":1746,"base":11}}}}},"used_operators":["glklzrTFfD","AHs5Up7iyr","Nsiff2A1zJ","zVYPLywUTj","mqXw5SEYmG","yyfyN0ffXY","9FxExcQeMw"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","dWAJyo7jo9","14qkJME0vr","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1533","layer":4},{"info":"compute unary expreesion, input=1533, 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=1239","layer":4},{"info":"number node, value=1705","layer":4},{"info":"compute binary expreesion, left_input=1239, right_input=1705, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6695","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=6695, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=1242","layer":4},{"info":"number node, value=5207","layer":4},{"info":"compute binary expreesion, left_input=1242, right_input=5207, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-7962","layer":3},{"info":"number node, value=4848","layer":4},{"info":"number node, value=1746","layer":4},{"info":"compute binary expreesion, left_input=4848, right_input=1746, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=-7962, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-7962","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-7962, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1174⊪)⊴(⋰*⋻A27⫸⊐⋰*⋻1310))≹⇙⪍(⋰*⋻A2A⩷∴⋰*⋻3A04↙⋰*⋻3708≹⇙⪍⋰*⋻1348)⨁⊸⫻=NaN","reverse_text":"NaN=((⋰*⋻1174⊪)⊴(⋰*⋻A27⫸⊐⋰*⋻1310))≹⇙⪍(⋰*⋻A2A⩷∴⋰*⋻3A04↙⋰*⋻3708≹⇙⪍⋰*⋻1348)⨁⊸⫻","cot":[{"info":"⋰*⋻1174⊪=⋰*⋻0","layer":3},{"info":"⋰*⋻A27⫸⊐⋰*⋻1310=⋰*⋻5037","layer":3},{"info":"⋰*⋻0⊴⋰*⋻5037=NaN","layer":2},{"info":"⋰*⋻A2A⩷∴⋰*⋻3A04=⋰*⋻-5A89","layer":3},{"info":"⋰*⋻3708≹⇙⪍⋰*⋻1348=NaN","layer":3},{"info":"⋰*⋻-5A89↙NaN=⋰*⋻-5A89","layer":2},{"info":"NaN≹⇙⪍⋰*⋻-5A89=NaN","layer":1},{"info":"NaN⨁⊸⫻=NaN","layer":0}]}
{"id":11,"expression_no_base_symbol":"(↯⪼(≉($3241$⪒$7159$)))-(≦∁$4875$↺$3198$)⨎(⇁⨣⪵$1874$≎⊠⪸$1674$)","expression":"(↯⪼(≉(⋰*⋻2487⪒⋰*⋻5419)))-(≦∁⋰*⋻3732↺⋰*⋻2448)⨎(⇁⨣⪵⋰*⋻1454≎⊠⪸⋰*⋻1292)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":293,"operation_count":9,"complexity_ratio":32.55555555555556,"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":3241,"base":11},"right_expr":{"type":"numeric_atoms","value":7159,"base":11}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":4875,"base":11},"right_expr":{"type":"numeric_atoms","value":3198,"base":11}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1874,"base":11},"right_expr":{"type":"numeric_atoms","value":1674,"base":11}}}}},"used_operators":["rysDP5nf3Z","8jW3W4yZS5","e1ybzncUwg","f6k1SAg4EE","rJVOvQCfKK","9ICcGScMcE","7j4O788W3g","inkyxCbjAn","bJkvcejdHO"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3241","layer":4},{"info":"number node, value=7159","layer":4},{"info":"compute binary expreesion, left_input=3241, right_input=7159, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-10400","layer":3},{"info":"compute unary expreesion, input=-10400, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-10400","layer":2},{"info":"compute unary expreesion, input=-10400, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=19883","layer":1},{"info":"number node, value=4875","layer":4},{"info":"number node, value=3198","layer":4},{"info":"compute binary expreesion, left_input=4875, right_input=3198, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3198","layer":3},{"info":"compute unary expreesion, input=3198, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3198","layer":2},{"info":"number node, value=1874","layer":4},{"info":"number node, value=1674","layer":4},{"info":"compute binary expreesion, left_input=1874, right_input=1674, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=484893","layer":3},{"info":"compute unary expreesion, input=484893, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3198, 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=19883, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"(↯⪼(≉(⋰*⋻2487⪒⋰*⋻5419)))-(≦∁⋰*⋻3732↺⋰*⋻2448)⨎(⇁⨣⪵⋰*⋻1454≎⊠⪸⋰*⋻1292)=NaN","reverse_text":"NaN=(↯⪼(≉(⋰*⋻2487⪒⋰*⋻5419)))-(≦∁⋰*⋻3732↺⋰*⋻2448)⨎(⇁⨣⪵⋰*⋻1454≎⊠⪸⋰*⋻1292)","cot":[{"info":"⋰*⋻2487⪒⋰*⋻5419=⋰*⋻-78A5","layer":3},{"info":"≉⋰*⋻-78A5=⋰*⋻-78A5","layer":2},{"info":"↯⪼⋰*⋻-78A5=⋰*⋻13A36","layer":1},{"info":"⋰*⋻3732↺⋰*⋻2448=⋰*⋻2448","layer":3},{"info":"≦∁⋰*⋻2448=⋰*⋻2448","layer":2},{"info":"⋰*⋻1454≎⊠⪸⋰*⋻1292=⋰*⋻301342","layer":3},{"info":"⇁⨣⪵⋰*⋻301342=NaN","layer":2},{"info":"⋰*⋻2448⨎NaN=NaN","layer":1},{"info":"⋰*⋻13A36-NaN=NaN","layer":0}]}
{"id":12,"expression_no_base_symbol":"↩((∥⊫$1879$)⪮%⊝(⪲⇎$1177$)∲⫓(↣≠⋷($4203$⫸⊐$4868$)))","expression":"↩((∥⊫⋰*⋻1459)⪮%⊝(⪲⇎⋰*⋻980)∲⫓(↣≠⋷(⋰*⋻3181⫸⊐⋰*⋻3726)))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":63,"operation_count":7,"complexity_ratio":9.0,"tree":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1879,"base":11}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1177,"base":11}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4203,"base":11},"right_expr":{"type":"numeric_atoms","value":4868,"base":11}}}}},"used_operators":["jLgFTUHLKL","i8ToyICDmI","IWmyXbctLI","P8v4zCKN1o","XPYlsWDdGa","Asc51vEJeQ","mqXw5SEYmG"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1879","layer":4},{"info":"compute unary expreesion, input=1879, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2747","layer":3},{"info":"number node, value=1177","layer":4},{"info":"compute unary expreesion, input=1177, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2354","layer":3},{"info":"compute binary expreesion, left_input=2747, right_input=2354, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5810","layer":2},{"info":"number node, value=4203","layer":4},{"info":"number node, value=4868","layer":4},{"info":"compute binary expreesion, left_input=4203, right_input=4868, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=19347","layer":3},{"info":"compute unary expreesion, input=19347, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=5810, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"↩((∥⊫⋰*⋻1459)⪮%⊝(⪲⇎⋰*⋻980)∲⫓(↣≠⋷(⋰*⋻3181⫸⊐⋰*⋻3726)))=NaN","reverse_text":"NaN=↩((∥⊫⋰*⋻1459)⪮%⊝(⪲⇎⋰*⋻980)∲⫓(↣≠⋷(⋰*⋻3181⫸⊐⋰*⋻3726)))","cot":[{"info":"∥⊫⋰*⋻1459=⋰*⋻2078","layer":3},{"info":"⪲⇎⋰*⋻980=⋰*⋻1850","layer":3},{"info":"⋰*⋻2078⪮%⊝⋰*⋻1850=⋰*⋻4402","layer":2},{"info":"⋰*⋻3181⫸⊐⋰*⋻3726=⋰*⋻13599","layer":3},{"info":"↣≠⋷⋰*⋻13599=NaN","layer":2},{"info":"⋰*⋻4402∲⫓NaN=NaN","layer":1},{"info":"↩NaN=NaN","layer":0}]}
{"id":13,"expression_no_base_symbol":"+⊝⨔($1252$⋓$1539$⨳⩥⨓(↽≂$2700$)%($2015$⨵⪆$1894$)↺$3518$⋝⋈⪟$3493$)","expression":"+⊝⨔(⋰*⋻A39⋓⋰*⋻117A⨳⩥⨓(↽≂⋰*⋻2035)%(⋰*⋻1572⨵⪆⋰*⋻1472)↺⋰*⋻2709⋝⋈⪟⋰*⋻2696)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":66,"operation_count":8,"complexity_ratio":8.25,"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":1252,"base":11},"right_expr":{"type":"numeric_atoms","value":1539,"base":11}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2700,"base":11}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2015,"base":11},"right_expr":{"type":"numeric_atoms","value":1894,"base":11}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3518,"base":11},"right_expr":{"type":"numeric_atoms","value":3493,"base":11}}}}},"used_operators":["DhbWaqg5eL","k8jYdgA6NY","nCS4ZIUYfx","T2fj7uvVaJ","u6S6b8DprG","7j4O788W3g","2DQ55sFlQl","2DDjHMKMc0"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻1164","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1252","layer":4},{"info":"number node, value=1539","layer":4},{"info":"compute binary expreesion, left_input=1252, right_input=1539, op_id = T2fj7uvVaJ binary_op_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=2700","layer":4},{"info":"compute unary expreesion, input=2700, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-5400","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-5400, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-5400","layer":2},{"info":"number node, value=2015","layer":4},{"info":"number node, value=1894","layer":4},{"info":"compute binary expreesion, left_input=2015, right_input=1894, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=3518","layer":4},{"info":"number node, value=3493","layer":4},{"info":"compute binary expreesion, left_input=3518, right_input=3493, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3518","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=3518, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3518","layer":2},{"info":"compute binary expreesion, left_input=-5400, right_input=3518, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1636","layer":1},{"info":"compute unary expreesion, input=1636, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":0}],"base":11,"result_base":11,"text":"+⊝⨔(⋰*⋻A39⋓⋰*⋻117A⨳⩥⨓(↽≂⋰*⋻2035)%(⋰*⋻1572⨵⪆⋰*⋻1472)↺⋰*⋻2709⋝⋈⪟⋰*⋻2696)=⋰*⋻1164","reverse_text":"⋰*⋻1164=+⊝⨔(⋰*⋻A39⋓⋰*⋻117A⨳⩥⨓(↽≂⋰*⋻2035)%(⋰*⋻1572⨵⪆⋰*⋻1472)↺⋰*⋻2709⋝⋈⪟⋰*⋻2696)","cot":[{"info":"⋰*⋻A39⋓⋰*⋻117A=⋰*⋻0","layer":3},{"info":"↽≂⋰*⋻2035=⋰*⋻-406A","layer":3},{"info":"⋰*⋻0⨳⩥⨓⋰*⋻-406A=⋰*⋻-406A","layer":2},{"info":"⋰*⋻1572⨵⪆⋰*⋻1472=⋰*⋻136","layer":3},{"info":"⋰*⋻2709⋝⋈⪟⋰*⋻2696=⋰*⋻2709","layer":3},{"info":"⋰*⋻136↺⋰*⋻2709=⋰*⋻2709","layer":2},{"info":"⋰*⋻-406A%⋰*⋻2709=⋰*⋻1258","layer":1},{"info":"+⊝⨔⋰*⋻1258=⋰*⋻1164","layer":0}]}
{"id":14,"expression_no_base_symbol":"(⨵≀≌$1138$)≹⇙⪍($2200$≹⇙⪍$3049$)↬((↔$2620$)⨵⪆$4171$⪮%⊝$2244$)≭(⊄⩳↩(⊥$6792$))⩷∴($4810$⋳⪒$2429$)∑⇟⊟($1614$⋷$6175$)","expression":"(⨵≀≌⋰*⋻945)≹⇙⪍(⋰*⋻1720≹⇙⪍⋰*⋻2322)↬((↔⋰*⋻1A72)⨵⪆⋰*⋻3152⪮%⊝⋰*⋻1760)≭(⊄⩳↩(⊥⋰*⋻5115))⩷∴(⋰*⋻3683⋳⪒⋰*⋻1909)∑⇟⊟(⋰*⋻1238⋷⋰*⋻4704)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":45,"operation_count":14,"complexity_ratio":3.2142857142857144,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1138,"base":11}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2200,"base":11},"right_expr":{"type":"numeric_atoms","value":3049,"base":11}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2620,"base":11}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4171,"base":11},"right_expr":{"type":"numeric_atoms","value":2244,"base":11}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":6792,"base":11}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":4810,"base":11},"right_expr":{"type":"numeric_atoms","value":2429,"base":11}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1614,"base":11},"right_expr":{"type":"numeric_atoms","value":6175,"base":11}}}}},"used_operators":["rxpJgHHUmx","B5M0gjZbta","AHs5Up7iyr","srAu1WTS94","2DQ55sFlQl","ruOEQAzv1W","IWmyXbctLI","9FxExcQeMw","8w2t5hMYqp","Q3PJZHRvZv","U7g4x0WXJJ","12rbrZMWeM","23Mk6UjR3U"],"dependent_operators":["AHs5Up7iyr","rGHVDoGpnC","dWAJyo7jo9","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1138","layer":4},{"info":"compute unary expreesion, input=1138, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3414","layer":3},{"info":"number node, value=2200","layer":4},{"info":"number node, value=3049","layer":4},{"info":"compute binary expreesion, left_input=2200, right_input=3049, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=-3414, 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=2620","layer":4},{"info":"compute unary expreesion, input=2620, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2347","layer":3},{"info":"number node, value=4171","layer":4},{"info":"number node, value=2244","layer":4},{"info":"compute binary expreesion, left_input=4171, right_input=2244, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=8658","layer":3},{"info":"compute binary expreesion, left_input=-2347, right_input=8658, 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":"number node, value=6792","layer":4},{"info":"compute unary expreesion, input=6792, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":2},{"info":"number node, value=4810","layer":4},{"info":"number node, value=2429","layer":4},{"info":"compute binary expreesion, left_input=4810, right_input=2429, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=6904","layer":3},{"info":"number node, value=1614","layer":4},{"info":"number node, value=6175","layer":4},{"info":"compute binary expreesion, left_input=1614, right_input=6175, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=10736","layer":3},{"info":"compute binary expreesion, left_input=6904, right_input=10736, 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 = 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 = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⨵≀≌⋰*⋻945)≹⇙⪍(⋰*⋻1720≹⇙⪍⋰*⋻2322)↬((↔⋰*⋻1A72)⨵⪆⋰*⋻3152⪮%⊝⋰*⋻1760)≭(⊄⩳↩(⊥⋰*⋻5115))⩷∴(⋰*⋻3683⋳⪒⋰*⋻1909)∑⇟⊟(⋰*⋻1238⋷⋰*⋻4704)=NaN","reverse_text":"NaN=(⨵≀≌⋰*⋻945)≹⇙⪍(⋰*⋻1720≹⇙⪍⋰*⋻2322)↬((↔⋰*⋻1A72)⨵⪆⋰*⋻3152⪮%⊝⋰*⋻1760)≭(⊄⩳↩(⊥⋰*⋻5115))⩷∴(⋰*⋻3683⋳⪒⋰*⋻1909)∑⇟⊟(⋰*⋻1238⋷⋰*⋻4704)","cot":[{"info":"⨵≀≌⋰*⋻945=⋰*⋻-2624","layer":3},{"info":"⋰*⋻1720≹⇙⪍⋰*⋻2322=NaN","layer":3},{"info":"⋰*⋻-2624≹⇙⪍NaN=NaN","layer":2},{"info":"↔⋰*⋻1A72=⋰*⋻-1844","layer":3},{"info":"⋰*⋻3152⪮%⊝⋰*⋻1760=⋰*⋻6561","layer":3},{"info":"⋰*⋻-1844⨵⪆⋰*⋻6561=⋰*⋻136","layer":2},{"info":"NaN↬⋰*⋻136=NaN","layer":1},{"info":"⊥⋰*⋻5115=NaN","layer":3},{"info":"⊄⩳↩NaN=NaN","layer":2},{"info":"⋰*⋻3683⋳⪒⋰*⋻1909=⋰*⋻5207","layer":3},{"info":"⋰*⋻1238⋷⋰*⋻4704=⋰*⋻8080","layer":3},{"info":"⋰*⋻5207∑⇟⊟⋰*⋻8080=NaN","layer":2},{"info":"NaN⩷∴NaN=NaN","layer":1},{"info":"NaN≭NaN=NaN","layer":0}]}
{"id":15,"expression_no_base_symbol":"(⪲⇎(⨈⫕$3188$⫸⊐$2671$))≫≃","expression":"(⪲⇎(⨈⫕⋰*⋻2439⫸⊐⋰*⋻2009))≫≃","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":419,"operation_count":4,"complexity_ratio":104.75,"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":3188,"base":11},"right_expr":{"type":"numeric_atoms","value":2671,"base":11}}}}},"used_operators":["X99M06cbEe","XPYlsWDdGa","megm06wKyl","mqXw5SEYmG"],"dependent_operators":["2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⋰*⋻A98","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=3188","layer":4},{"info":"number node, value=2671","layer":4},{"info":"compute binary expreesion, left_input=3188, right_input=2671, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=10559","layer":3},{"info":"compute unary expreesion, input=10559, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":2},{"info":"compute unary expreesion, input=-21, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-42","layer":1},{"info":"compute unary expreesion, input=-42, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=1317","layer":0}],"base":11,"result_base":11,"text":"(⪲⇎(⨈⫕⋰*⋻2439⫸⊐⋰*⋻2009))≫≃=⋰*⋻A98","reverse_text":"⋰*⋻A98=(⪲⇎(⨈⫕⋰*⋻2439⫸⊐⋰*⋻2009))≫≃","cot":[{"info":"⋰*⋻2439⫸⊐⋰*⋻2009=⋰*⋻7A2A","layer":3},{"info":"⨈⫕⋰*⋻7A2A=⋰*⋻-1A","layer":2},{"info":"⪲⇎⋰*⋻-1A=⋰*⋻-39","layer":1},{"info":"⋰*⋻-39≫≃=⋰*⋻A98","layer":0}]}
{"id":16,"expression_no_base_symbol":"($2526$*$3495$⨸⪁$1000$↺$2439$)≭(⊥($1088$⪛$2529$))⨳⩥⨓((($1563$⋥≓≎$1623$)⨁⊸⫻)⫡⨏($9416$∼$1306$↪⪝))","expression":"(⋰*⋻1997*⋰*⋻2698⨸⪁⋰*⋻82A↺⋰*⋻1918)≭(⊥(⋰*⋻8AA⪛⋰*⋻199A))⨳⩥⨓(((⋰*⋻11A1⋥≓≎⋰*⋻1246)⨁⊸⫻)⫡⨏(⋰*⋻7090∼⋰*⋻A88↪⪝))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2743,"operation_count":12,"complexity_ratio":228.58333333333334,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2526,"base":11},"right_expr":{"type":"numeric_atoms","value":3495,"base":11}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1000,"base":11},"right_expr":{"type":"numeric_atoms","value":2439,"base":11}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1088,"base":11},"right_expr":{"type":"numeric_atoms","value":2529,"base":11}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1563,"base":11},"right_expr":{"type":"numeric_atoms","value":1623,"base":11}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":9416,"base":11},"right_expr":{"type":"numeric_atoms","value":1306,"base":11}}}}},"used_operators":["nCS4ZIUYfx","rxpJgHHUmx","g55IO6H4Gj","9HNa5Wba9A","7j4O788W3g","Q3PJZHRvZv","uFcxV4UQCh","QMFrweE19q","glklzrTFfD","Qy55tPpLXF","l07mrZUIn9","DyGG3AbaNP"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2526","layer":4},{"info":"number node, value=3495","layer":4},{"info":"compute binary expreesion, left_input=2526, right_input=3495, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=8828370","layer":3},{"info":"number node, value=1000","layer":4},{"info":"number node, value=2439","layer":4},{"info":"compute binary expreesion, left_input=1000, right_input=2439, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2439","layer":3},{"info":"compute binary expreesion, left_input=8828370, right_input=2439, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=17661618","layer":2},{"info":"number node, value=1088","layer":4},{"info":"number node, value=2529","layer":4},{"info":"compute binary expreesion, left_input=1088, right_input=2529, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1088","layer":3},{"info":"compute unary expreesion, input=1088, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=17661618, 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=1563","layer":4},{"info":"number node, value=1623","layer":4},{"info":"compute binary expreesion, left_input=1563, right_input=1623, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1716","layer":3},{"info":"compute unary expreesion, input=1716, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1716","layer":2},{"info":"number node, value=9416","layer":4},{"info":"number node, value=1306","layer":4},{"info":"compute binary expreesion, left_input=9416, right_input=1306, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"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=1716, 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 = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1997*⋰*⋻2698⨸⪁⋰*⋻82A↺⋰*⋻1918)≭(⊥(⋰*⋻8AA⪛⋰*⋻199A))⨳⩥⨓(((⋰*⋻11A1⋥≓≎⋰*⋻1246)⨁⊸⫻)⫡⨏(⋰*⋻7090∼⋰*⋻A88↪⪝))=NaN","reverse_text":"NaN=(⋰*⋻1997*⋰*⋻2698⨸⪁⋰*⋻82A↺⋰*⋻1918)≭(⊥(⋰*⋻8AA⪛⋰*⋻199A))⨳⩥⨓(((⋰*⋻11A1⋥≓≎⋰*⋻1246)⨁⊸⫻)⫡⨏(⋰*⋻7090∼⋰*⋻A88↪⪝))","cot":[{"info":"⋰*⋻1997*⋰*⋻2698=⋰*⋻4A8A981","layer":3},{"info":"⋰*⋻82A↺⋰*⋻1918=⋰*⋻1918","layer":3},{"info":"⋰*⋻4A8A981⨸⪁⋰*⋻1918=⋰*⋻9A73487","layer":2},{"info":"⋰*⋻8AA⪛⋰*⋻199A=⋰*⋻8AA","layer":3},{"info":"⊥⋰*⋻8AA=NaN","layer":2},{"info":"⋰*⋻9A73487≭NaN=NaN","layer":1},{"info":"⋰*⋻11A1⋥≓≎⋰*⋻1246=⋰*⋻1320","layer":3},{"info":"⋰*⋻1320⨁⊸⫻=⋰*⋻1320","layer":2},{"info":"⋰*⋻7090∼⋰*⋻A88=NaN","layer":3},{"info":"NaN↪⪝=NaN","layer":2},{"info":"⋰*⋻1320⫡⨏NaN=NaN","layer":1},{"info":"NaN⨳⩥⨓NaN=NaN","layer":0}]}
{"id":17,"expression_no_base_symbol":"((↯⪼$2628$)∑⇟⊟($1175$≧⫂∧$5622$)+(($1958$+$1019$)⇋≉))⋝⋈⪟(⋗⩬⋾(≤/(⫓⪴$2904$)))","expression":"((↯⪼⋰*⋻1A7A)∑⇟⊟(⋰*⋻979≧⫂∧⋰*⋻4251)+((⋰*⋻1520+⋰*⋻847)⇋≉))⋝⋈⪟(⋗⩬⋾(≤/(⫓⪴⋰*⋻2200)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2949,"operation_count":10,"complexity_ratio":294.9,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2628,"base":11}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1175,"base":11},"right_expr":{"type":"numeric_atoms","value":5622,"base":11}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1958,"base":11},"right_expr":{"type":"numeric_atoms","value":1019,"base":11}}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2904,"base":11}}}}},"used_operators":["2DDjHMKMc0","W4YGzv6Whe","U7g4x0WXJJ","8jW3W4yZS5","Ph9nP6C5qx","XIabStNQrY","DpFCA1CohY","eLAdDNolq6","eLxqMNBOBk"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2628","layer":4},{"info":"compute unary expreesion, input=2628, 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=1175","layer":4},{"info":"number node, value=5622","layer":4},{"info":"compute binary expreesion, left_input=1175, right_input=5622, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5149","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=5149, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=1958","layer":4},{"info":"number node, value=1019","layer":4},{"info":"compute binary expreesion, left_input=1958, right_input=1019, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2977","layer":3},{"info":"compute unary expreesion, input=2977, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=5856","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5856, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=2904","layer":4},{"info":"compute unary expreesion, input=2904, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=8433216","layer":3},{"info":"compute unary expreesion, input=8433216, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-8432732","layer":2},{"info":"compute unary expreesion, input=-8432732, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=25298196","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=25298196, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((↯⪼⋰*⋻1A7A)∑⇟⊟(⋰*⋻979≧⫂∧⋰*⋻4251)+((⋰*⋻1520+⋰*⋻847)⇋≉))⋝⋈⪟(⋗⩬⋾(≤/(⫓⪴⋰*⋻2200)))=NaN","reverse_text":"NaN=((↯⪼⋰*⋻1A7A)∑⇟⊟(⋰*⋻979≧⫂∧⋰*⋻4251)+((⋰*⋻1520+⋰*⋻847)⇋≉))⋝⋈⪟(⋗⩬⋾(≤/(⫓⪴⋰*⋻2200)))","cot":[{"info":"↯⪼⋰*⋻1A7A=⋰*⋻-1A","layer":3},{"info":"⋰*⋻979≧⫂∧⋰*⋻4251=⋰*⋻3961","layer":3},{"info":"⋰*⋻-1A∑⇟⊟⋰*⋻3961=NaN","layer":2},{"info":"⋰*⋻1520+⋰*⋻847=⋰*⋻2267","layer":3},{"info":"⋰*⋻2267⇋≉=⋰*⋻4444","layer":2},{"info":"NaN+⋰*⋻4444=NaN","layer":1},{"info":"⫓⪴⋰*⋻2200=⋰*⋻4840000","layer":3},{"info":"≤/⋰*⋻4840000=⋰*⋻-483A700","layer":2},{"info":"⋗⩬⋾⋰*⋻-483A700=⋰*⋻13309A00","layer":1},{"info":"NaN⋝⋈⪟⋰*⋻13309A00=NaN","layer":0}]}
{"id":18,"expression_no_base_symbol":"($2693$⪛$1581$↙$3411$⨽$1063$/(($1046$⫡⨏$1194$)≋⫹))∼(($1061$⋳⪒$3088$⋷$1806$⫥∨⫟$2711$)⋳⪒(≤/$3253$⋝⋈⪟$7085$))","expression":"(⋰*⋻2029⪛⋰*⋻1208↙⋰*⋻2621⨽⋰*⋻887/((⋰*⋻871⫡⨏⋰*⋻996)≋⫹))∼((⋰*⋻885⋳⪒⋰*⋻2358⋷⋰*⋻13A2⫥∨⫟⋰*⋻2045)⋳⪒(≤/⋰*⋻2498⋝⋈⪟⋰*⋻5361))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3616,"operation_count":13,"complexity_ratio":278.15384615384613,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2693,"base":11},"right_expr":{"type":"numeric_atoms","value":1581,"base":11}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3411,"base":11},"right_expr":{"type":"numeric_atoms","value":1063,"base":11}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1046,"base":11},"right_expr":{"type":"numeric_atoms","value":1194,"base":11}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1061,"base":11},"right_expr":{"type":"numeric_atoms","value":3088,"base":11}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1806,"base":11},"right_expr":{"type":"numeric_atoms","value":2711,"base":11}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3253,"base":11},"right_expr":{"type":"numeric_atoms","value":7085,"base":11}}}}},"used_operators":["DyGG3AbaNP","XhwjNDsVaA","yyfyN0ffXY","uFcxV4UQCh","8HhzD0ZcuI","N41Kp7NANJ","QMFrweE19q","12rbrZMWeM","23Mk6UjR3U","KYD54nUTWz","eLAdDNolq6","2DDjHMKMc0"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2693","layer":4},{"info":"number node, value=1581","layer":4},{"info":"compute binary expreesion, left_input=2693, right_input=1581, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1112","layer":3},{"info":"number node, value=3411","layer":4},{"info":"number node, value=1063","layer":4},{"info":"compute binary expreesion, left_input=3411, right_input=1063, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-34906638","layer":3},{"info":"compute binary expreesion, left_input=1112, right_input=-34906638, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":2},{"info":"number node, value=1046","layer":4},{"info":"number node, value=1194","layer":4},{"info":"compute binary expreesion, left_input=1046, right_input=1194, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=8401","layer":3},{"info":"compute unary expreesion, input=8401, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-16802","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-16802, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1061","layer":4},{"info":"number node, value=3088","layer":4},{"info":"compute binary expreesion, left_input=1061, right_input=3088, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-1253","layer":3},{"info":"number node, value=1806","layer":4},{"info":"number node, value=2711","layer":4},{"info":"compute binary expreesion, left_input=1806, right_input=2711, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1253, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2506","layer":2},{"info":"number node, value=3253","layer":4},{"info":"number node, value=7085","layer":4},{"info":"compute binary expreesion, left_input=3253, right_input=7085, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3253","layer":3},{"info":"compute unary expreesion, input=3253, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2769","layer":2},{"info":"compute binary expreesion, left_input=2506, right_input=-2769, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=7494","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=7494, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻2029⪛⋰*⋻1208↙⋰*⋻2621⨽⋰*⋻887/((⋰*⋻871⫡⨏⋰*⋻996)≋⫹))∼((⋰*⋻885⋳⪒⋰*⋻2358⋷⋰*⋻13A2⫥∨⫟⋰*⋻2045)⋳⪒(≤/⋰*⋻2498⋝⋈⪟⋰*⋻5361))=NaN","reverse_text":"NaN=(⋰*⋻2029⪛⋰*⋻1208↙⋰*⋻2621⨽⋰*⋻887/((⋰*⋻871⫡⨏⋰*⋻996)≋⫹))∼((⋰*⋻885⋳⪒⋰*⋻2358⋷⋰*⋻13A2⫥∨⫟⋰*⋻2045)⋳⪒(≤/⋰*⋻2498⋝⋈⪟⋰*⋻5361))","cot":[{"info":"⋰*⋻2029⪛⋰*⋻1208=⋰*⋻921","layer":3},{"info":"⋰*⋻2621⨽⋰*⋻887=⋰*⋻-18781968","layer":3},{"info":"⋰*⋻921↙⋰*⋻-18781968=NaN","layer":2},{"info":"⋰*⋻871⫡⨏⋰*⋻996=⋰*⋻6348","layer":3},{"info":"⋰*⋻6348≋⫹=⋰*⋻-11695","layer":2},{"info":"NaN/⋰*⋻-11695=NaN","layer":1},{"info":"⋰*⋻885⋳⪒⋰*⋻2358=⋰*⋻-A3A","layer":3},{"info":"⋰*⋻13A2⫥∨⫟⋰*⋻2045=NaN","layer":3},{"info":"⋰*⋻-A3A⋷NaN=⋰*⋻1979","layer":2},{"info":"⋰*⋻2498⋝⋈⪟⋰*⋻5361=⋰*⋻2498","layer":3},{"info":"≤/⋰*⋻2498=⋰*⋻-2098","layer":2},{"info":"⋰*⋻1979⋳⪒⋰*⋻-2098=⋰*⋻56A3","layer":1},{"info":"NaN∼⋰*⋻56A3=NaN","layer":0}]}
{"id":19,"expression_no_base_symbol":"(($1407$+$3201$)⫸⊐($4545$⋷$4290$))⩚⊴⇥($4378$≹⇙⪍$1788$⪐)⨵⪆($2392$⪢$3155$*$3223$⨰$1404$)⫸⊐(+⊝⨔$1878$)⨪↰⇹($1200$⋓$3920$)","expression":"((⋰*⋻106A+⋰*⋻2450)⫸⊐(⋰*⋻3462⋷⋰*⋻3250))⩚⊴⇥(⋰*⋻3320≹⇙⪍⋰*⋻1386⪐)⨵⪆(⋰*⋻1885⪢⋰*⋻2409*⋰*⋻2470⨰⋰*⋻1067)⫸⊐(+⊝⨔⋰*⋻1458)⨪↰⇹(⋰*⋻9A1⋓⋰*⋻2A44)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4776,"operation_count":14,"complexity_ratio":341.14285714285717,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1407,"base":11},"right_expr":{"type":"numeric_atoms","value":3201,"base":11}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":4545,"base":11},"right_expr":{"type":"numeric_atoms","value":4290,"base":11}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":4378,"base":11},"right_expr":{"type":"numeric_atoms","value":1788,"base":11}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2392,"base":11},"right_expr":{"type":"numeric_atoms","value":3155,"base":11}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3223,"base":11},"right_expr":{"type":"numeric_atoms","value":1404,"base":11}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1878,"base":11}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1200,"base":11},"right_expr":{"type":"numeric_atoms","value":3920,"base":11}}}}},"used_operators":["2DQ55sFlQl","NTOWxs364D","mqXw5SEYmG","W4YGzv6Whe","23Mk6UjR3U","eH2TOUuTDT","AHs5Up7iyr","9HNa5Wba9A","dWAJyo7jo9","eewbuw0ToL","tmPS8pqC7x","DhbWaqg5eL","T2fj7uvVaJ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⋰*⋻136","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1407","layer":4},{"info":"number node, value=3201","layer":4},{"info":"compute binary expreesion, left_input=1407, right_input=3201, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4608","layer":3},{"info":"number node, value=4545","layer":4},{"info":"number node, value=4290","layer":4},{"info":"compute binary expreesion, left_input=4545, right_input=4290, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=4035","layer":3},{"info":"compute binary expreesion, left_input=4608, right_input=4035, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=16015","layer":2},{"info":"number node, value=4378","layer":4},{"info":"number node, value=1788","layer":4},{"info":"compute binary expreesion, left_input=4378, right_input=1788, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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 = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=16015, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"number node, value=2392","layer":4},{"info":"number node, value=3155","layer":4},{"info":"compute binary expreesion, left_input=2392, right_input=3155, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=3223","layer":4},{"info":"number node, value=1404","layer":4},{"info":"compute binary expreesion, left_input=3223, right_input=1404, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1829","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1829, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1878","layer":4},{"info":"compute unary expreesion, input=1878, 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=1200","layer":4},{"info":"number node, value=3920","layer":4},{"info":"compute binary expreesion, left_input=1200, right_input=3920, op_id = T2fj7uvVaJ binary_op_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 = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1522","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1522, 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 = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻106A+⋰*⋻2450)⫸⊐(⋰*⋻3462⋷⋰*⋻3250))⩚⊴⇥(⋰*⋻3320≹⇙⪍⋰*⋻1386⪐)⨵⪆(⋰*⋻1885⪢⋰*⋻2409*⋰*⋻2470⨰⋰*⋻1067)⫸⊐(+⊝⨔⋰*⋻1458)⨪↰⇹(⋰*⋻9A1⋓⋰*⋻2A44)=⋰*⋻136","reverse_text":"⋰*⋻136=((⋰*⋻106A+⋰*⋻2450)⫸⊐(⋰*⋻3462⋷⋰*⋻3250))⩚⊴⇥(⋰*⋻3320≹⇙⪍⋰*⋻1386⪐)⨵⪆(⋰*⋻1885⪢⋰*⋻2409*⋰*⋻2470⨰⋰*⋻1067)⫸⊐(+⊝⨔⋰*⋻1458)⨪↰⇹(⋰*⋻9A1⋓⋰*⋻2A44)","cot":[{"info":"⋰*⋻106A+⋰*⋻2450=⋰*⋻350A","layer":3},{"info":"⋰*⋻3462⋷⋰*⋻3250=⋰*⋻3039","layer":3},{"info":"⋰*⋻350A⫸⊐⋰*⋻3039=⋰*⋻1103A","layer":2},{"info":"⋰*⋻3320≹⇙⪍⋰*⋻1386=NaN","layer":3},{"info":"NaN⪐=NaN","layer":2},{"info":"⋰*⋻1103A⩚⊴⇥NaN=NaN","layer":1},{"info":"⋰*⋻1885⪢⋰*⋻2409=NaN","layer":3},{"info":"⋰*⋻2470⨰⋰*⋻1067=⋰*⋻1413","layer":3},{"info":"NaN*⋰*⋻1413=NaN","layer":2},{"info":"+⊝⨔⋰*⋻1458=⋰*⋻1164","layer":3},{"info":"⋰*⋻9A1⋓⋰*⋻2A44=⋰*⋻0","layer":3},{"info":"⋰*⋻1164⨪↰⇹⋰*⋻0=⋰*⋻1164","layer":2},{"info":"NaN⫸⊐⋰*⋻1164=NaN","layer":1},{"info":"NaN⨵⪆NaN=⋰*⋻136","layer":0}]}
{"id":20,"expression_no_base_symbol":"⪝⪂⫅(((⨈⫕$2571$)⪨≂$1004$≹⇙⪍$1333$)≋⫹)","expression":"⪝⪂⫅(((⨈⫕⋰*⋻1A28)⪨≂⋰*⋻833≹⇙⪍⋰*⋻1002)≋⫹)","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":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2571,"base":11}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1004,"base":11},"right_expr":{"type":"numeric_atoms","value":1333,"base":11}}}}},"used_operators":["XTarYq4gQB","N41Kp7NANJ","sdazOOVcIp","megm06wKyl","AHs5Up7iyr"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=2571","layer":4},{"info":"compute unary expreesion, input=2571, 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=1004","layer":4},{"info":"number node, value=1333","layer":4},{"info":"compute binary expreesion, left_input=1004, right_input=1333, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=-21, 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 = N41Kp7NANJ, unary_op_definition = '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":11,"result_base":11,"text":"⪝⪂⫅(((⨈⫕⋰*⋻1A28)⪨≂⋰*⋻833≹⇙⪍⋰*⋻1002)≋⫹)=NaN","reverse_text":"NaN=⪝⪂⫅(((⨈⫕⋰*⋻1A28)⪨≂⋰*⋻833≹⇙⪍⋰*⋻1002)≋⫹)","cot":[{"info":"⨈⫕⋰*⋻1A28=⋰*⋻-1A","layer":3},{"info":"⋰*⋻833≹⇙⪍⋰*⋻1002=NaN","layer":3},{"info":"⋰*⋻-1A⪨≂NaN=NaN","layer":2},{"info":"NaN≋⫹=NaN","layer":1},{"info":"⪝⪂⫅NaN=NaN","layer":0}]}
{"id":21,"expression_no_base_symbol":"(($2274$⋓$1603$⨵⪆(⪝⪂⫅$8148$))⇋≉)∑⇟⊟(⋗⩬⋾(($1101$≎⊠⪸$6408$)⊪))","expression":"((⋰*⋻1788⋓⋰*⋻1228⨵⪆(⪝⪂⫅⋰*⋻6138))⇋≉)∑⇟⊟(⋗⩬⋾((⋰*⋻911≎⊠⪸⋰*⋻48A6)⊪))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":474,"operation_count":8,"complexity_ratio":59.25,"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":2274,"base":11},"right_expr":{"type":"numeric_atoms","value":1603,"base":11}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":8148,"base":11}}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1101,"base":11},"right_expr":{"type":"numeric_atoms","value":6408,"base":11}}}}},"used_operators":["U7g4x0WXJJ","XIabStNQrY","2DQ55sFlQl","T2fj7uvVaJ","XTarYq4gQB","DpFCA1CohY","zVYPLywUTj","bJkvcejdHO"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⋰*⋻192","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2274","layer":4},{"info":"number node, value=1603","layer":4},{"info":"compute binary expreesion, left_input=2274, right_input=1603, op_id = T2fj7uvVaJ binary_op_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=8148","layer":4},{"info":"compute unary expreesion, input=8148, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-1197756","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1197756, 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 = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=222","layer":1},{"info":"number node, value=1101","layer":4},{"info":"number node, value=6408","layer":4},{"info":"compute binary expreesion, left_input=1101, right_input=6408, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=284686","layer":3},{"info":"compute unary expreesion, input=284686, 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 = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=222, right_input=0, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=222","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1788⋓⋰*⋻1228⨵⪆(⪝⪂⫅⋰*⋻6138))⇋≉)∑⇟⊟(⋗⩬⋾((⋰*⋻911≎⊠⪸⋰*⋻48A6)⊪))=⋰*⋻192","reverse_text":"⋰*⋻192=((⋰*⋻1788⋓⋰*⋻1228⨵⪆(⪝⪂⫅⋰*⋻6138))⇋≉)∑⇟⊟(⋗⩬⋾((⋰*⋻911≎⊠⪸⋰*⋻48A6)⊪))","cot":[{"info":"⋰*⋻1788⋓⋰*⋻1228=⋰*⋻0","layer":3},{"info":"⪝⪂⫅⋰*⋻6138=⋰*⋻-74898A","layer":3},{"info":"⋰*⋻0⨵⪆⋰*⋻-74898A=⋰*⋻136","layer":2},{"info":"⋰*⋻136⇋≉=⋰*⋻192","layer":1},{"info":"⋰*⋻911≎⊠⪸⋰*⋻48A6=⋰*⋻184986","layer":3},{"info":"⋰*⋻184986⊪=⋰*⋻0","layer":2},{"info":"⋗⩬⋾⋰*⋻0=⋰*⋻0","layer":1},{"info":"⋰*⋻192∑⇟⊟⋰*⋻0=⋰*⋻192","layer":0}]}
{"id":22,"expression_no_base_symbol":"(≤/($7194$⨽$1039$⩨($8049$≫≃)))+⇶⊼(⫓⪴(-$1750$⩨$1549$))","expression":"(≤/(⋰*⋻5450⨽⋰*⋻865⩨(⋰*⋻6058≫≃)))+⇶⊼(⫓⪴(-⋰*⋻1351⩨⋰*⋻1189))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7222,"operation_count":8,"complexity_ratio":902.75,"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":7194,"base":11},"right_expr":{"type":"numeric_atoms","value":1039,"base":11}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":8049,"base":11}}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1750,"base":11},"right_expr":{"type":"numeric_atoms","value":1549,"base":11}}}}},"used_operators":["TpPTUOHfaN","eLAdDNolq6","2DlMacCsIx","8HhzD0ZcuI","X99M06cbEe","eLxqMNBOBk","t8gj7n24qd"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","9HNa5Wba9A"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7194","layer":4},{"info":"number node, value=1039","layer":4},{"info":"compute binary expreesion, left_input=7194, right_input=1039, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-155262711","layer":3},{"info":"number node, value=8049","layer":4},{"info":"compute unary expreesion, input=8049, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=17499","layer":3},{"info":"compute binary expreesion, left_input=-155262711, right_input=17499, 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 = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=481","layer":1},{"info":"number node, value=1750","layer":4},{"info":"number node, value=1549","layer":4},{"info":"compute binary expreesion, left_input=1750, right_input=1549, 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 = t8gj7n24qd, unary_op_definition = 'None', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=481, 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":11,"result_base":11,"text":"(≤/(⋰*⋻5450⨽⋰*⋻865⩨(⋰*⋻6058≫≃)))+⇶⊼(⫓⪴(-⋰*⋻1351⩨⋰*⋻1189))=⋰*⋻0","reverse_text":"⋰*⋻0=(≤/(⋰*⋻5450⨽⋰*⋻865⩨(⋰*⋻6058≫≃)))+⇶⊼(⫓⪴(-⋰*⋻1351⩨⋰*⋻1189))","cot":[{"info":"⋰*⋻5450⨽⋰*⋻865=⋰*⋻-7A70719A","layer":3},{"info":"⋰*⋻6058≫≃=⋰*⋻12169","layer":3},{"info":"⋰*⋻-7A70719A⩨⋰*⋻12169=⋰*⋻3","layer":2},{"info":"≤/⋰*⋻3=⋰*⋻3A8","layer":1},{"info":"⋰*⋻1351⩨⋰*⋻1189=⋰*⋻0","layer":3},{"info":"-⋰*⋻0=⋰*⋻0","layer":2},{"info":"⫓⪴⋰*⋻0=⋰*⋻0","layer":1},{"info":"⋰*⋻3A8+⇶⊼⋰*⋻0=⋰*⋻0","layer":0}]}
{"id":23,"expression_no_base_symbol":"≉(⊥($2555$⫸⊐$8428$*$2379$⨳⩥⨓$1952$))","expression":"≉(⊥(⋰*⋻1A13⫸⊐⋰*⋻6372*⋰*⋻1873⨳⩥⨓⋰*⋻1515))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":456,"operation_count":5,"complexity_ratio":91.2,"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":2555,"base":11},"right_expr":{"type":"numeric_atoms","value":8428,"base":11}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2379,"base":11},"right_expr":{"type":"numeric_atoms","value":1952,"base":11}}}}},"used_operators":["e1ybzncUwg","Q3PJZHRvZv","9HNa5Wba9A","mqXw5SEYmG","nCS4ZIUYfx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","W4YGzv6Whe","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2555","layer":4},{"info":"number node, value=8428","layer":4},{"info":"compute binary expreesion, left_input=2555, right_input=8428, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=33587","layer":3},{"info":"number node, value=2379","layer":4},{"info":"number node, value=1952","layer":4},{"info":"compute binary expreesion, left_input=2379, right_input=1952, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-427","layer":3},{"info":"compute binary expreesion, left_input=33587, right_input=-427, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-14341649","layer":2},{"info":"compute unary expreesion, input=-14341649, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"≉(⊥(⋰*⋻1A13⫸⊐⋰*⋻6372*⋰*⋻1873⨳⩥⨓⋰*⋻1515))=NaN","reverse_text":"NaN=≉(⊥(⋰*⋻1A13⫸⊐⋰*⋻6372*⋰*⋻1873⨳⩥⨓⋰*⋻1515))","cot":[{"info":"⋰*⋻1A13⫸⊐⋰*⋻6372=⋰*⋻23264","layer":3},{"info":"⋰*⋻1873⨳⩥⨓⋰*⋻1515=⋰*⋻-359","layer":3},{"info":"⋰*⋻23264*⋰*⋻-359=⋰*⋻-8106103","layer":2},{"info":"⊥⋰*⋻-8106103=NaN","layer":1},{"info":"≉NaN=NaN","layer":0}]}
{"id":24,"expression_no_base_symbol":"(↔(↔(⇁⨣⪵$9253$)))↛⩡⫤","expression":"(↔(↔(⇁⨣⪵⋰*⋻6A52)))↛⩡⫤","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2896,"operation_count":4,"complexity_ratio":724.0,"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":9253,"base":11}}}}},"used_operators":["FU0Cs4j7VP","ruOEQAzv1W","inkyxCbjAn"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","B5M0gjZbta"],"result":"⋰*⋻2339","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=9253","layer":4},{"info":"compute unary expreesion, input=9253, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":2},{"info":"compute unary expreesion, input=-134, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-912","layer":1},{"info":"compute unary expreesion, input=-912, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=3067","layer":0}],"base":11,"result_base":11,"text":"(↔(↔(⇁⨣⪵⋰*⋻6A52)))↛⩡⫤=⋰*⋻2339","reverse_text":"⋰*⋻2339=(↔(↔(⇁⨣⪵⋰*⋻6A52)))↛⩡⫤","cot":[{"info":"⇁⨣⪵⋰*⋻6A52=NaN","layer":3},{"info":"↔NaN=⋰*⋻-112","layer":2},{"info":"↔⋰*⋻-112=⋰*⋻-75A","layer":1},{"info":"⋰*⋻-75A↛⩡⫤=⋰*⋻2339","layer":0}]}
{"id":25,"expression_no_base_symbol":"≤/(($1241$⪐)⨐⩸⫘$2800$⫥∨⫟$9105$⪒(($5537$⨵⪆$4112$)⨁⊸⫻))","expression":"≤/((⋰*⋻A29⪐)⨐⩸⫘⋰*⋻2116⫥∨⫟⋰*⋻6928⪒((⋰*⋻4184⨵⪆⋰*⋻30A9)⨁⊸⫻))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":163,"operation_count":7,"complexity_ratio":23.285714285714285,"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":1241,"base":11}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2800,"base":11},"right_expr":{"type":"numeric_atoms","value":9105,"base":11}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":5537,"base":11},"right_expr":{"type":"numeric_atoms","value":4112,"base":11}}}}},"used_operators":["eLAdDNolq6","f6k1SAg4EE","fu6greOZ01","eH2TOUuTDT","KYD54nUTWz","glklzrTFfD","2DQ55sFlQl"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1241","layer":4},{"info":"compute unary expreesion, input=1241, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2482","layer":3},{"info":"number node, value=2800","layer":4},{"info":"number node, value=9105","layer":4},{"info":"compute binary expreesion, left_input=2800, right_input=9105, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2482, 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=5537","layer":4},{"info":"number node, value=4112","layer":4},{"info":"compute binary expreesion, left_input=5537, right_input=4112, 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 = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"≤/((⋰*⋻A29⪐)⨐⩸⫘⋰*⋻2116⫥∨⫟⋰*⋻6928⪒((⋰*⋻4184⨵⪆⋰*⋻30A9)⨁⊸⫻))=NaN","reverse_text":"NaN=≤/((⋰*⋻A29⪐)⨐⩸⫘⋰*⋻2116⫥∨⫟⋰*⋻6928⪒((⋰*⋻4184⨵⪆⋰*⋻30A9)⨁⊸⫻))","cot":[{"info":"⋰*⋻A29⪐=⋰*⋻1957","layer":3},{"info":"⋰*⋻2116⫥∨⫟⋰*⋻6928=NaN","layer":3},{"info":"⋰*⋻1957⨐⩸⫘NaN=NaN","layer":2},{"info":"⋰*⋻4184⨵⪆⋰*⋻30A9=⋰*⋻136","layer":3},{"info":"⋰*⋻136⨁⊸⫻=⋰*⋻136","layer":2},{"info":"NaN⪒⋰*⋻136=NaN","layer":1},{"info":"≤/NaN=NaN","layer":0}]}
{"id":26,"expression_no_base_symbol":"(($1532$⨵⪆$4546$)⨟⋌⩍($2299$≫≃)⨐⩸⫘$2042$⊴$7593$⇷($4163$⇼⇔∾$2792$))⫩⊇","expression":"((⋰*⋻1173⨵⪆⋰*⋻3463)⨟⋌⩍(⋰*⋻1800≫≃)⨐⩸⫘⋰*⋻1597⊴⋰*⋻5783⇷(⋰*⋻3145⇼⇔∾⋰*⋻2109))⫩⊇","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7622,"operation_count":8,"complexity_ratio":952.75,"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":1532,"base":11},"right_expr":{"type":"numeric_atoms","value":4546,"base":11}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":2299,"base":11}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2042,"base":11},"right_expr":{"type":"numeric_atoms","value":7593,"base":11}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":4163,"base":11},"right_expr":{"type":"numeric_atoms","value":2792,"base":11}}}}},"used_operators":["BjRHVeLaeN","fu6greOZ01","rGHVDoGpnC","2DQ55sFlQl","X99M06cbEe","mp7IySMOzn","Nsiff2A1zJ","tifHPKVTfV"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1532","layer":4},{"info":"number node, value=4546","layer":4},{"info":"compute binary expreesion, left_input=1532, right_input=4546, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=2299","layer":4},{"info":"compute unary expreesion, input=2299, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=5999","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=5999, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=2042","layer":4},{"info":"number node, value=7593","layer":4},{"info":"compute binary expreesion, left_input=2042, right_input=7593, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=4163","layer":4},{"info":"number node, value=2792","layer":4},{"info":"compute binary expreesion, left_input=4163, right_input=2792, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1371","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1371, 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 = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1173⨵⪆⋰*⋻3463)⨟⋌⩍(⋰*⋻1800≫≃)⨐⩸⫘⋰*⋻1597⊴⋰*⋻5783⇷(⋰*⋻3145⇼⇔∾⋰*⋻2109))⫩⊇=NaN","reverse_text":"NaN=((⋰*⋻1173⨵⪆⋰*⋻3463)⨟⋌⩍(⋰*⋻1800≫≃)⨐⩸⫘⋰*⋻1597⊴⋰*⋻5783⇷(⋰*⋻3145⇼⇔∾⋰*⋻2109))⫩⊇","cot":[{"info":"⋰*⋻1173⨵⪆⋰*⋻3463=⋰*⋻136","layer":3},{"info":"⋰*⋻1800≫≃=⋰*⋻4564","layer":3},{"info":"⋰*⋻136⨟⋌⩍⋰*⋻4564=NaN","layer":2},{"info":"⋰*⋻1597⊴⋰*⋻5783=NaN","layer":3},{"info":"⋰*⋻3145⇼⇔∾⋰*⋻2109=⋰*⋻-1037","layer":3},{"info":"NaN⇷⋰*⋻-1037=NaN","layer":2},{"info":"NaN⨐⩸⫘NaN=NaN","layer":1},{"info":"NaN⫩⊇=NaN","layer":0}]}
{"id":27,"expression_no_base_symbol":"⪲⇎(($2792$⊘)⋳⪒($4042$⋳⪒$1949$))⨓($2614$∀⇚≩$3123$/$2643$⨟⋌⩍$1179$)","expression":"⪲⇎((⋰*⋻2109⊘)⋳⪒(⋰*⋻3045⋳⪒⋰*⋻1512))⨓(⋰*⋻1A67∀⇚≩⋰*⋻238A/⋰*⋻1A93⨟⋌⩍⋰*⋻982)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":18342,"operation_count":8,"complexity_ratio":2292.75,"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":2792,"base":11}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":4042,"base":11},"right_expr":{"type":"numeric_atoms","value":1949,"base":11}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2614,"base":11},"right_expr":{"type":"numeric_atoms","value":3123,"base":11}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2643,"base":11},"right_expr":{"type":"numeric_atoms","value":1179,"base":11}}}}},"used_operators":["XPYlsWDdGa","3ViojmjbAp","12rbrZMWeM","gu96TGCTMs","XhwjNDsVaA","LRNGc0VcxI","rGHVDoGpnC"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","X99M06cbEe","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2792","layer":4},{"info":"compute unary expreesion, input=2792, 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=4042","layer":4},{"info":"number node, value=1949","layer":4},{"info":"compute binary expreesion, left_input=4042, right_input=1949, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=5848","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5848, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-6135","layer":2},{"info":"number node, value=2614","layer":4},{"info":"number node, value=3123","layer":4},{"info":"compute binary expreesion, left_input=2614, right_input=3123, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=2643","layer":4},{"info":"number node, value=1179","layer":4},{"info":"compute binary expreesion, left_input=2643, right_input=1179, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-6135, 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 = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⪲⇎((⋰*⋻2109⊘)⋳⪒(⋰*⋻3045⋳⪒⋰*⋻1512))⨓(⋰*⋻1A67∀⇚≩⋰*⋻238A/⋰*⋻1A93⨟⋌⩍⋰*⋻982)=NaN","reverse_text":"NaN=⪲⇎((⋰*⋻2109⊘)⋳⪒(⋰*⋻3045⋳⪒⋰*⋻1512))⨓(⋰*⋻1A67∀⇚≩⋰*⋻238A/⋰*⋻1A93⨟⋌⩍⋰*⋻982)","cot":[{"info":"⋰*⋻2109⊘=⋰*⋻0","layer":3},{"info":"⋰*⋻3045⋳⪒⋰*⋻1512=⋰*⋻4437","layer":3},{"info":"⋰*⋻0⋳⪒⋰*⋻4437=⋰*⋻-4678","layer":2},{"info":"⋰*⋻1A67∀⇚≩⋰*⋻238A=NaN","layer":3},{"info":"⋰*⋻1A93⨟⋌⩍⋰*⋻982=NaN","layer":3},{"info":"NaN/NaN=NaN","layer":2},{"info":"⋰*⋻-4678⨓NaN=NaN","layer":1},{"info":"⪲⇎NaN=NaN","layer":0}]}
{"id":28,"expression_no_base_symbol":"($1737$≎⊠⪸$1554$⫥∨⫟($7396$⨳⩥⨓$6153$)⪠⩆⊳)⩷∴(($1581$≎⊠⪸$1444$)⋓(⪲⇎$2564$)+($2986$⇼⇔∾$1960$)⊴($1616$∸))","expression":"(⋰*⋻133A≎⊠⪸⋰*⋻1193⫥∨⫟(⋰*⋻5614⨳⩥⨓⋰*⋻4694)⪠⩆⊳)⩷∴((⋰*⋻1208≎⊠⪸⋰*⋻10A3)⋓(⪲⇎⋰*⋻1A21)+(⋰*⋻2275⇼⇔∾⋰*⋻1522)⊴(⋰*⋻123A∸))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1174,"operation_count":12,"complexity_ratio":97.83333333333333,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1737,"base":11},"right_expr":{"type":"numeric_atoms","value":1554,"base":11}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":7396,"base":11},"right_expr":{"type":"numeric_atoms","value":6153,"base":11}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1581,"base":11},"right_expr":{"type":"numeric_atoms","value":1444,"base":11}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":2564,"base":11}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2986,"base":11},"right_expr":{"type":"numeric_atoms","value":1960,"base":11}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":1616,"base":11}}}}},"used_operators":["9FxExcQeMw","JLbD19bQDL","KYD54nUTWz","bJkvcejdHO","nCS4ZIUYfx","W4YGzv6Whe","T2fj7uvVaJ","XPYlsWDdGa","Nsiff2A1zJ","tifHPKVTfV","o20kRiQErp"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1737","layer":4},{"info":"number node, value=1554","layer":4},{"info":"compute binary expreesion, left_input=1737, right_input=1554, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=449410","layer":3},{"info":"number node, value=7396","layer":4},{"info":"number node, value=6153","layer":4},{"info":"compute binary expreesion, left_input=7396, right_input=6153, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1243","layer":3},{"info":"compute binary expreesion, left_input=449410, right_input=-1243, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', 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=1581","layer":4},{"info":"number node, value=1444","layer":4},{"info":"compute binary expreesion, left_input=1581, right_input=1444, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=409006","layer":3},{"info":"number node, value=2564","layer":4},{"info":"compute unary expreesion, input=2564, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=5128","layer":3},{"info":"compute binary expreesion, left_input=409006, right_input=5128, op_id = T2fj7uvVaJ binary_op_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=2986","layer":4},{"info":"number node, value=1960","layer":4},{"info":"compute binary expreesion, left_input=2986, right_input=1960, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1026","layer":3},{"info":"number node, value=1616","layer":4},{"info":"compute unary expreesion, input=1616, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=-1026, right_input=177, 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 = W4YGzv6Whe binary_op_definition= 'None', 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":11,"result_base":11,"text":"(⋰*⋻133A≎⊠⪸⋰*⋻1193⫥∨⫟(⋰*⋻5614⨳⩥⨓⋰*⋻4694)⪠⩆⊳)⩷∴((⋰*⋻1208≎⊠⪸⋰*⋻10A3)⋓(⪲⇎⋰*⋻1A21)+(⋰*⋻2275⇼⇔∾⋰*⋻1522)⊴(⋰*⋻123A∸))=NaN","reverse_text":"NaN=(⋰*⋻133A≎⊠⪸⋰*⋻1193⫥∨⫟(⋰*⋻5614⨳⩥⨓⋰*⋻4694)⪠⩆⊳)⩷∴((⋰*⋻1208≎⊠⪸⋰*⋻10A3)⋓(⪲⇎⋰*⋻1A21)+(⋰*⋻2275⇼⇔∾⋰*⋻1522)⊴(⋰*⋻123A∸))","cot":[{"info":"⋰*⋻133A≎⊠⪸⋰*⋻1193=⋰*⋻287715","layer":3},{"info":"⋰*⋻5614⨳⩥⨓⋰*⋻4694=⋰*⋻-A30","layer":3},{"info":"⋰*⋻287715⫥∨⫟⋰*⋻-A30=NaN","layer":2},{"info":"NaN⪠⩆⊳=NaN","layer":1},{"info":"⋰*⋻1208≎⊠⪸⋰*⋻10A3=⋰*⋻25A324","layer":3},{"info":"⪲⇎⋰*⋻1A21=⋰*⋻3942","layer":3},{"info":"⋰*⋻25A324⋓⋰*⋻3942=⋰*⋻0","layer":2},{"info":"⋰*⋻2275⇼⇔∾⋰*⋻1522=⋰*⋻-853","layer":3},{"info":"⋰*⋻123A∸=⋰*⋻151","layer":3},{"info":"⋰*⋻-853⊴⋰*⋻151=NaN","layer":2},{"info":"⋰*⋻0+NaN=NaN","layer":1},{"info":"NaN⩷∴NaN=NaN","layer":0}]}
{"id":29,"expression_no_base_symbol":"($5127$⨟⋌⩍$1370$⨎$5961$⊴$1006$⨸⪁(↣≠⋷($6322$∼$2009$)))∀⇚≩(($3572$⪄$4401$↪⪝)⨓((⨵≀≌$1364$)⫩⊇))","expression":"(⋰*⋻3941⨟⋌⩍⋰*⋻1036⨎⋰*⋻452A⊴⋰*⋻835⨸⪁(↣≠⋷(⋰*⋻4828∼⋰*⋻1567)))∀⇚≩((⋰*⋻2758⪄⋰*⋻3341↪⪝)⨓((⨵≀≌⋰*⋻1030)⫩⊇))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":9075,"operation_count":12,"complexity_ratio":756.25,"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":5127,"base":11},"right_expr":{"type":"numeric_atoms","value":1370,"base":11}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":5961,"base":11},"right_expr":{"type":"numeric_atoms","value":1006,"base":11}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":6322,"base":11},"right_expr":{"type":"numeric_atoms","value":2009,"base":11}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3572,"base":11},"right_expr":{"type":"numeric_atoms","value":4401,"base":11}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1364,"base":11}}}}},"used_operators":["LRNGc0VcxI","g55IO6H4Gj","rJVOvQCfKK","rGHVDoGpnC","Nsiff2A1zJ","Asc51vEJeQ","DyGG3AbaNP","3ViojmjbAp","l07mrZUIn9","SUmda5xLS4","BjRHVeLaeN","srAu1WTS94"],"dependent_operators":["X99M06cbEe","W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","Tcnh7f0tEr","dWAJyo7jo9","14qkJME0vr","XhwjNDsVaA","AHs5Up7iyr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9HNa5Wba9A","2DDjHMKMc0","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5127","layer":4},{"info":"number node, value=1370","layer":4},{"info":"compute binary expreesion, left_input=5127, right_input=1370, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=5961","layer":4},{"info":"number node, value=1006","layer":4},{"info":"compute binary expreesion, left_input=5961, right_input=1006, 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":"number node, value=6322","layer":4},{"info":"number node, value=2009","layer":4},{"info":"compute binary expreesion, left_input=6322, right_input=2009, 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 = 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 = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"number node, value=3572","layer":4},{"info":"number node, value=4401","layer":4},{"info":"compute binary expreesion, left_input=3572, right_input=4401, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-542349","layer":3},{"info":"compute unary expreesion, input=-542349, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=-inf","layer":2},{"info":"number node, value=1364","layer":4},{"info":"compute unary expreesion, input=1364, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-4092","layer":3},{"info":"compute unary expreesion, input=-4092, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=4134","layer":2},{"info":"compute binary expreesion, left_input=-inf, right_input=4134, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4137","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-4137, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻3941⨟⋌⩍⋰*⋻1036⨎⋰*⋻452A⊴⋰*⋻835⨸⪁(↣≠⋷(⋰*⋻4828∼⋰*⋻1567)))∀⇚≩((⋰*⋻2758⪄⋰*⋻3341↪⪝)⨓((⨵≀≌⋰*⋻1030)⫩⊇))=NaN","reverse_text":"NaN=(⋰*⋻3941⨟⋌⩍⋰*⋻1036⨎⋰*⋻452A⊴⋰*⋻835⨸⪁(↣≠⋷(⋰*⋻4828∼⋰*⋻1567)))∀⇚≩((⋰*⋻2758⪄⋰*⋻3341↪⪝)⨓((⨵≀≌⋰*⋻1030)⫩⊇))","cot":[{"info":"⋰*⋻3941⨟⋌⩍⋰*⋻1036=NaN","layer":3},{"info":"⋰*⋻452A⊴⋰*⋻835=NaN","layer":3},{"info":"NaN⨎NaN=NaN","layer":2},{"info":"⋰*⋻4828∼⋰*⋻1567=NaN","layer":3},{"info":"↣≠⋷NaN=NaN","layer":2},{"info":"NaN⨸⪁NaN=NaN","layer":1},{"info":"⋰*⋻2758⪄⋰*⋻3341=⋰*⋻-340525","layer":3},{"info":"⋰*⋻-340525↪⪝=-Inf","layer":2},{"info":"⨵≀≌⋰*⋻1030=⋰*⋻-3090","layer":3},{"info":"⋰*⋻-3090⫩⊇=⋰*⋻3119","layer":2},{"info":"-Inf⨓⋰*⋻3119=⋰*⋻-3121","layer":1},{"info":"NaN∀⇚≩⋰*⋻-3121=NaN","layer":0}]}
{"id":30,"expression_no_base_symbol":"⊙↵-((↥$1375$∑⇟⊟$2055$)⨐⩸⫘($1010$≦≮≮)⋝⋈⪟($2091$%$2221$))","expression":"⊙↵-((↥⋰*⋻1040∑⇟⊟⋰*⋻15A9)⨐⩸⫘(⋰*⋻839≦≮≮)⋝⋈⪟(⋰*⋻1631%⋰*⋻173A))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":37,"operation_count":7,"complexity_ratio":5.285714285714286,"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":1375,"base":11},"right_expr":{"type":"numeric_atoms","value":2055,"base":11}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1010,"base":11}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2091,"base":11},"right_expr":{"type":"numeric_atoms","value":2221,"base":11}}}}},"used_operators":["oWn0xqSxBt","fu6greOZ01","A8NUZmVepG","U7g4x0WXJJ","2DDjHMKMc0","D4vGDi5EA2","k8jYdgA6NY"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","3ViojmjbAp","k8jYdgA6NY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1375","layer":4},{"info":"number node, value=2055","layer":4},{"info":"compute binary expreesion, left_input=1375, right_input=2055, 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=1010","layer":4},{"info":"compute unary expreesion, input=1010, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-3030","layer":3},{"info":"number node, value=2091","layer":4},{"info":"number node, value=2221","layer":4},{"info":"compute binary expreesion, left_input=2091, right_input=2221, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2091","layer":3},{"info":"compute binary expreesion, left_input=-3030, right_input=2091, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-3030","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3030, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⊙↵-((↥⋰*⋻1040∑⇟⊟⋰*⋻15A9)⨐⩸⫘(⋰*⋻839≦≮≮)⋝⋈⪟(⋰*⋻1631%⋰*⋻173A))=NaN","reverse_text":"NaN=⊙↵-((↥⋰*⋻1040∑⇟⊟⋰*⋻15A9)⨐⩸⫘(⋰*⋻839≦≮≮)⋝⋈⪟(⋰*⋻1631%⋰*⋻173A))","cot":[{"info":"⋰*⋻1040∑⇟⊟⋰*⋻15A9=NaN","layer":3},{"info":"↥NaN=NaN","layer":2},{"info":"⋰*⋻839≦≮≮=⋰*⋻-2305","layer":3},{"info":"⋰*⋻1631%⋰*⋻173A=⋰*⋻1631","layer":3},{"info":"⋰*⋻-2305⋝⋈⪟⋰*⋻1631=⋰*⋻-2305","layer":2},{"info":"NaN⨐⩸⫘⋰*⋻-2305=NaN","layer":1},{"info":"⊙↵-NaN=NaN","layer":0}]}
{"id":31,"expression_no_base_symbol":"($1923$⊴$2213$⨐⩸⫘($1099$⪄$2600$)+(⨰⫟⨤$2604$)∲⫓$4718$⋳⪒$3136$)≹⇙⪍((($6579$*$3045$)≣⋋)↺$1837$⪮%⊝$3282$⨓$4567$≹⇙⪍$2076$)","expression":"(⋰*⋻1499⊴⋰*⋻1732⨐⩸⫘(⋰*⋻90A⪄⋰*⋻1A54)+(⨰⫟⨤⋰*⋻1A58)∲⫓⋰*⋻35AA⋳⪒⋰*⋻23A1)≹⇙⪍(((⋰*⋻4A41*⋰*⋻2319)≣⋋)↺⋰*⋻1420⪮%⊝⋰*⋻2514⨓⋰*⋻3482≹⇙⪍⋰*⋻1618)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":15480,"operation_count":14,"complexity_ratio":1105.7142857142858,"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":1923,"base":11},"right_expr":{"type":"numeric_atoms","value":2213,"base":11}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1099,"base":11},"right_expr":{"type":"numeric_atoms","value":2600,"base":11}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2604,"base":11}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":4718,"base":11},"right_expr":{"type":"numeric_atoms","value":3136,"base":11}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":6579,"base":11},"right_expr":{"type":"numeric_atoms","value":3045,"base":11}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1837,"base":11},"right_expr":{"type":"numeric_atoms","value":3282,"base":11}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":4567,"base":11},"right_expr":{"type":"numeric_atoms","value":2076,"base":11}}}}},"used_operators":["AHs5Up7iyr","W4YGzv6Whe","fu6greOZ01","Nsiff2A1zJ","SUmda5xLS4","i8ToyICDmI","Tw270M8GLb","12rbrZMWeM","7j4O788W3g","Tcnh7f0tEr","9HNa5Wba9A","3ViojmjbAp","IWmyXbctLI"],"dependent_operators":["dWAJyo7jo9","3ViojmjbAp","dWAJyo7jo9","14qkJME0vr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","W4YGzv6Whe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1923","layer":4},{"info":"number node, value=2213","layer":4},{"info":"compute binary expreesion, left_input=1923, right_input=2213, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1099","layer":4},{"info":"number node, value=2600","layer":4},{"info":"compute binary expreesion, left_input=1099, right_input=2600, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-169141","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-169141, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=2604","layer":4},{"info":"compute unary expreesion, input=2604, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=4718","layer":4},{"info":"number node, value=3136","layer":4},{"info":"compute binary expreesion, left_input=4718, right_input=3136, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=6013","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6013, 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 = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=6579","layer":4},{"info":"number node, value=3045","layer":4},{"info":"compute binary expreesion, left_input=6579, right_input=3045, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=20033055","layer":3},{"info":"compute unary expreesion, input=20033055, 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=1837","layer":4},{"info":"number node, value=3282","layer":4},{"info":"compute binary expreesion, left_input=1837, right_input=3282, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3990","layer":3},{"info":"number node, value=4567","layer":4},{"info":"number node, value=2076","layer":4},{"info":"compute binary expreesion, left_input=4567, right_input=2076, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3990, 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 = 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 = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1499⊴⋰*⋻1732⨐⩸⫘(⋰*⋻90A⪄⋰*⋻1A54)+(⨰⫟⨤⋰*⋻1A58)∲⫓⋰*⋻35AA⋳⪒⋰*⋻23A1)≹⇙⪍(((⋰*⋻4A41*⋰*⋻2319)≣⋋)↺⋰*⋻1420⪮%⊝⋰*⋻2514⨓⋰*⋻3482≹⇙⪍⋰*⋻1618)=NaN","reverse_text":"NaN=(⋰*⋻1499⊴⋰*⋻1732⨐⩸⫘(⋰*⋻90A⪄⋰*⋻1A54)+(⨰⫟⨤⋰*⋻1A58)∲⫓⋰*⋻35AA⋳⪒⋰*⋻23A1)≹⇙⪍(((⋰*⋻4A41*⋰*⋻2319)≣⋋)↺⋰*⋻1420⪮%⊝⋰*⋻2514⨓⋰*⋻3482≹⇙⪍⋰*⋻1618)","cot":[{"info":"⋰*⋻1499⊴⋰*⋻1732=NaN","layer":3},{"info":"⋰*⋻90A⪄⋰*⋻1A54=⋰*⋻-106095","layer":3},{"info":"NaN⨐⩸⫘⋰*⋻-106095=NaN","layer":2},{"info":"⨰⫟⨤⋰*⋻1A58=NaN","layer":3},{"info":"⋰*⋻35AA⋳⪒⋰*⋻23A1=⋰*⋻4577","layer":3},{"info":"NaN∲⫓⋰*⋻4577=⋰*⋻0","layer":2},{"info":"NaN+⋰*⋻0=NaN","layer":1},{"info":"⋰*⋻4A41*⋰*⋻2319=⋰*⋻10343149","layer":3},{"info":"⋰*⋻10343149≣⋋=NaN","layer":2},{"info":"⋰*⋻1420⪮%⊝⋰*⋻2514=⋰*⋻2AA8","layer":3},{"info":"⋰*⋻3482≹⇙⪍⋰*⋻1618=NaN","layer":3},{"info":"⋰*⋻2AA8⨓NaN=NaN","layer":2},{"info":"NaN↺NaN=NaN","layer":1},{"info":"NaN≹⇙⪍NaN=NaN","layer":0}]}
{"id":32,"expression_no_base_symbol":"((($1181$⋫)⨁⊸⫻)⪛((↯⪼$2336$)⪒$5624$⋓$3357$))⪢(($5233$⨸⪁$2998$⫡⨏$5789$⫥∨⫟$2942$)⋥≓≎($1996$⪄$1835$⨵⪆($1674$+$3346$)))","expression":"(((⋰*⋻984⋫)⨁⊸⫻)⪛((↯⪼⋰*⋻1834)⪒⋰*⋻4253⋓⋰*⋻2582))⪢((⋰*⋻3A28⨸⪁⋰*⋻2286⫡⨏⋰*⋻4393⫥∨⫟⋰*⋻2235)⋥≓≎(⋰*⋻1555⪄⋰*⋻1419⨵⪆(⋰*⋻1292+⋰*⋻2572)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1618,"operation_count":14,"complexity_ratio":115.57142857142857,"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":1181,"base":11}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2336,"base":11}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":5624,"base":11},"right_expr":{"type":"numeric_atoms","value":3357,"base":11}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":5233,"base":11},"right_expr":{"type":"numeric_atoms","value":2998,"base":11}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5789,"base":11},"right_expr":{"type":"numeric_atoms","value":2942,"base":11}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1996,"base":11},"right_expr":{"type":"numeric_atoms","value":1835,"base":11}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1674,"base":11},"right_expr":{"type":"numeric_atoms","value":3346,"base":11}}}}},"used_operators":["dWAJyo7jo9","uFcxV4UQCh","glklzrTFfD","JL8yIekQnl","f6k1SAg4EE","8jW3W4yZS5","T2fj7uvVaJ","Qy55tPpLXF","QMFrweE19q","g55IO6H4Gj","KYD54nUTWz","2DQ55sFlQl","SUmda5xLS4","W4YGzv6Whe"],"dependent_operators":["k8jYdgA6NY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1181","layer":4},{"info":"compute unary expreesion, input=1181, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1181","layer":3},{"info":"compute unary expreesion, input=1181, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1181","layer":2},{"info":"number node, value=2336","layer":4},{"info":"compute unary expreesion, input=2336, 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=5624","layer":4},{"info":"number node, value=3357","layer":4},{"info":"compute binary expreesion, left_input=5624, right_input=3357, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=0, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=21","layer":2},{"info":"compute binary expreesion, left_input=1181, right_input=21, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=5","layer":1},{"info":"number node, value=5233","layer":4},{"info":"number node, value=2998","layer":4},{"info":"compute binary expreesion, left_input=5233, right_input=2998, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=16462","layer":3},{"info":"number node, value=5789","layer":4},{"info":"number node, value=2942","layer":4},{"info":"compute binary expreesion, left_input=5789, right_input=2942, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=16462, 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=1996","layer":4},{"info":"number node, value=1835","layer":4},{"info":"compute binary expreesion, left_input=1996, right_input=1835, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-298837","layer":3},{"info":"number node, value=1674","layer":4},{"info":"number node, value=3346","layer":4},{"info":"compute binary expreesion, left_input=1674, right_input=3346, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5020","layer":3},{"info":"compute binary expreesion, left_input=-298837, right_input=5020, 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 = 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=5, 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":11,"result_base":11,"text":"(((⋰*⋻984⋫)⨁⊸⫻)⪛((↯⪼⋰*⋻1834)⪒⋰*⋻4253⋓⋰*⋻2582))⪢((⋰*⋻3A28⨸⪁⋰*⋻2286⫡⨏⋰*⋻4393⫥∨⫟⋰*⋻2235)⋥≓≎(⋰*⋻1555⪄⋰*⋻1419⨵⪆(⋰*⋻1292+⋰*⋻2572)))=NaN","reverse_text":"NaN=(((⋰*⋻984⋫)⨁⊸⫻)⪛((↯⪼⋰*⋻1834)⪒⋰*⋻4253⋓⋰*⋻2582))⪢((⋰*⋻3A28⨸⪁⋰*⋻2286⫡⨏⋰*⋻4393⫥∨⫟⋰*⋻2235)⋥≓≎(⋰*⋻1555⪄⋰*⋻1419⨵⪆(⋰*⋻1292+⋰*⋻2572)))","cot":[{"info":"⋰*⋻984⋫=⋰*⋻984","layer":3},{"info":"⋰*⋻984⨁⊸⫻=⋰*⋻984","layer":2},{"info":"↯⪼⋰*⋻1834=⋰*⋻-1A","layer":3},{"info":"⋰*⋻4253⋓⋰*⋻2582=⋰*⋻0","layer":3},{"info":"⋰*⋻-1A⪒⋰*⋻0=⋰*⋻1A","layer":2},{"info":"⋰*⋻984⪛⋰*⋻1A=⋰*⋻5","layer":1},{"info":"⋰*⋻3A28⨸⪁⋰*⋻2286=⋰*⋻11406","layer":3},{"info":"⋰*⋻4393⫥∨⫟⋰*⋻2235=NaN","layer":3},{"info":"⋰*⋻11406⫡⨏NaN=NaN","layer":2},{"info":"⋰*⋻1555⪄⋰*⋻1419=⋰*⋻-194580","layer":3},{"info":"⋰*⋻1292+⋰*⋻2572=⋰*⋻3854","layer":3},{"info":"⋰*⋻-194580⨵⪆⋰*⋻3854=⋰*⋻136","layer":2},{"info":"NaN⋥≓≎⋰*⋻136=⋰*⋻61","layer":1},{"info":"⋰*⋻5⪢⋰*⋻61=NaN","layer":0}]}
{"id":33,"expression_no_base_symbol":"(($5873$-$1267$)⋳⪒($2516$⫸⊐$1170$)⨎(⨑⩽⪐$2554$)≹⇙⪍(⊥$3529$))≫≃","expression":"((⋰*⋻445A-⋰*⋻A52)⋳⪒(⋰*⋻1988⫸⊐⋰*⋻974)⨎(⨑⩽⪐⋰*⋻1A12)≹⇙⪍(⊥⋰*⋻2719))≫≃","highest_n_order":4,"priority_hierarchical_complexity":7,"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":5873,"base":11},"right_expr":{"type":"numeric_atoms","value":1267,"base":11}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2516,"base":11},"right_expr":{"type":"numeric_atoms","value":1170,"base":11}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2554,"base":11}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":3529,"base":11}}}}},"used_operators":["X99M06cbEe","rJVOvQCfKK","12rbrZMWeM","rysDP5nf3Z","mqXw5SEYmG","AHs5Up7iyr","AF7qkfDlqP","Q3PJZHRvZv"],"dependent_operators":["2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5873","layer":4},{"info":"number node, value=1267","layer":4},{"info":"compute binary expreesion, left_input=5873, right_input=1267, op_id = rysDP5nf3Z binary_op_definition= 'None', output=4606","layer":3},{"info":"number node, value=2516","layer":4},{"info":"number node, value=1170","layer":4},{"info":"compute binary expreesion, left_input=2516, right_input=1170, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4555","layer":3},{"info":"compute binary expreesion, left_input=4606, right_input=4555, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=4370","layer":2},{"info":"number node, value=2554","layer":4},{"info":"compute unary expreesion, input=2554, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2281","layer":3},{"info":"number node, value=3529","layer":4},{"info":"compute unary expreesion, input=3529, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2281, 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=4370, 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 = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻445A-⋰*⋻A52)⋳⪒(⋰*⋻1988⫸⊐⋰*⋻974)⨎(⨑⩽⪐⋰*⋻1A12)≹⇙⪍(⊥⋰*⋻2719))≫≃=NaN","reverse_text":"NaN=((⋰*⋻445A-⋰*⋻A52)⋳⪒(⋰*⋻1988⫸⊐⋰*⋻974)⨎(⨑⩽⪐⋰*⋻1A12)≹⇙⪍(⊥⋰*⋻2719))≫≃","cot":[{"info":"⋰*⋻445A-⋰*⋻A52=⋰*⋻3508","layer":3},{"info":"⋰*⋻1988⫸⊐⋰*⋻974=⋰*⋻3471","layer":3},{"info":"⋰*⋻3508⋳⪒⋰*⋻3471=⋰*⋻3313","layer":2},{"info":"⨑⩽⪐⋰*⋻1A12=⋰*⋻-1794","layer":3},{"info":"⊥⋰*⋻2719=NaN","layer":3},{"info":"⋰*⋻-1794≹⇙⪍NaN=NaN","layer":2},{"info":"⋰*⋻3313⨎NaN=NaN","layer":1},{"info":"NaN≫≃=NaN","layer":0}]}
{"id":34,"expression_no_base_symbol":"($8251$⪮%⊝$1278$⫥∨⫟$1179$⋓$7262$*$1155$⪛$4080$⋓(⊙↵-$3719$))⋥≓≎$2058$≧⫂∧$4690$⨰$2104$⪮%⊝$6009$⨐⩸⫘(⇁⨣⪵(∥⊫$1079$))","expression":"(⋰*⋻6221⪮%⊝⋰*⋻A62⫥∨⫟⋰*⋻982⋓⋰*⋻5502*⋰*⋻960⪛⋰*⋻307A⋓(⊙↵-⋰*⋻2881))⋥≓≎⋰*⋻1601≧⫂∧⋰*⋻3584⨰⋰*⋻1643⪮%⊝⋰*⋻4573⨐⩸⫘(⇁⨣⪵(∥⊫⋰*⋻8A1))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3983,"operation_count":14,"complexity_ratio":284.5,"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":8251,"base":11},"right_expr":{"type":"numeric_atoms","value":1278,"base":11}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1179,"base":11},"right_expr":{"type":"numeric_atoms","value":7262,"base":11}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1155,"base":11},"right_expr":{"type":"numeric_atoms","value":4080,"base":11}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":3719,"base":11}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2058,"base":11},"right_expr":{"type":"numeric_atoms","value":4690,"base":11}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2104,"base":11},"right_expr":{"type":"numeric_atoms","value":6009,"base":11}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1079,"base":11}}}}},"used_operators":["Qy55tPpLXF","9HNa5Wba9A","KYD54nUTWz","IWmyXbctLI","T2fj7uvVaJ","uFcxV4UQCh","oWn0xqSxBt","fu6greOZ01","eewbuw0ToL","Ph9nP6C5qx","inkyxCbjAn","P8v4zCKN1o"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻61","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=8251","layer":4},{"info":"number node, value=1278","layer":4},{"info":"compute binary expreesion, left_input=8251, right_input=1278, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=16818","layer":3},{"info":"number node, value=1179","layer":4},{"info":"number node, value=7262","layer":4},{"info":"compute binary expreesion, left_input=1179, right_input=7262, op_id = T2fj7uvVaJ binary_op_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=16818, right_input=0, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1155","layer":4},{"info":"number node, value=4080","layer":4},{"info":"compute binary expreesion, left_input=1155, right_input=4080, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1155","layer":3},{"info":"number node, value=3719","layer":4},{"info":"compute unary expreesion, input=3719, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=1155, right_input=-1, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=2058","layer":4},{"info":"number node, value=4690","layer":4},{"info":"compute binary expreesion, left_input=2058, right_input=4690, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4217","layer":3},{"info":"number node, value=2104","layer":4},{"info":"number node, value=6009","layer":4},{"info":"compute binary expreesion, left_input=2104, right_input=6009, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4524","layer":3},{"info":"compute binary expreesion, left_input=4217, right_input=4524, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-297","layer":2},{"info":"number node, value=1079","layer":4},{"info":"compute unary expreesion, input=1079, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=1947","layer":3},{"info":"compute unary expreesion, input=1947, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-297, 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 = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻6221⪮%⊝⋰*⋻A62⫥∨⫟⋰*⋻982⋓⋰*⋻5502*⋰*⋻960⪛⋰*⋻307A⋓(⊙↵-⋰*⋻2881))⋥≓≎⋰*⋻1601≧⫂∧⋰*⋻3584⨰⋰*⋻1643⪮%⊝⋰*⋻4573⨐⩸⫘(⇁⨣⪵(∥⊫⋰*⋻8A1))=⋰*⋻61","reverse_text":"⋰*⋻61=(⋰*⋻6221⪮%⊝⋰*⋻A62⫥∨⫟⋰*⋻982⋓⋰*⋻5502*⋰*⋻960⪛⋰*⋻307A⋓(⊙↵-⋰*⋻2881))⋥≓≎⋰*⋻1601≧⫂∧⋰*⋻3584⨰⋰*⋻1643⪮%⊝⋰*⋻4573⨐⩸⫘(⇁⨣⪵(∥⊫⋰*⋻8A1))","cot":[{"info":"⋰*⋻6221⪮%⊝⋰*⋻A62=⋰*⋻116AA","layer":3},{"info":"⋰*⋻982⋓⋰*⋻5502=⋰*⋻0","layer":3},{"info":"⋰*⋻116AA⫥∨⫟⋰*⋻0=NaN","layer":2},{"info":"⋰*⋻960⪛⋰*⋻307A=⋰*⋻960","layer":3},{"info":"⊙↵-⋰*⋻2881=⋰*⋻-1","layer":3},{"info":"⋰*⋻960⋓⋰*⋻-1=⋰*⋻0","layer":2},{"info":"NaN*⋰*⋻0=NaN","layer":1},{"info":"⋰*⋻1601≧⫂∧⋰*⋻3584=⋰*⋻3194","layer":3},{"info":"⋰*⋻1643⪮%⊝⋰*⋻4573=⋰*⋻3443","layer":3},{"info":"⋰*⋻3194⨰⋰*⋻3443=⋰*⋻-250","layer":2},{"info":"∥⊫⋰*⋻8A1=⋰*⋻1510","layer":3},{"info":"⇁⨣⪵⋰*⋻1510=NaN","layer":2},{"info":"⋰*⋻-250⨐⩸⫘NaN=NaN","layer":1},{"info":"NaN⋥≓≎NaN=⋰*⋻61","layer":0}]}
{"id":35,"expression_no_base_symbol":"((⨞⊢(⨰⫟⨤$1653$))⇼⇔∾(≉$2577$⋳⪒$2901$))↬($4734$⋓$4204$⪨≂$2477$⊭↱$6256$)⪢($1588$⪨≂$3709$⨵⪆($1221$⋷$4620$))","expression":"((⨞⊢(⨰⫟⨤⋰*⋻1273))⇼⇔∾(≉⋰*⋻1A33⋳⪒⋰*⋻21A8))↬(⋰*⋻3614⋓⋰*⋻3182⪨≂⋰*⋻1952⊭↱⋰*⋻4778)⪢(⋰*⋻1214⪨≂⋰*⋻2872⨵⪆(⋰*⋻A10⋷⋰*⋻3520))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7009,"operation_count":13,"complexity_ratio":539.1538461538462,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1653,"base":11}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2577,"base":11},"right_expr":{"type":"numeric_atoms","value":2901,"base":11}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4734,"base":11},"right_expr":{"type":"numeric_atoms","value":4204,"base":11}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2477,"base":11},"right_expr":{"type":"numeric_atoms","value":6256,"base":11}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1588,"base":11},"right_expr":{"type":"numeric_atoms","value":3709,"base":11}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1221,"base":11},"right_expr":{"type":"numeric_atoms","value":4620,"base":11}}}}},"used_operators":["B5M0gjZbta","tifHPKVTfV","xUOZtlo3hN","Tw270M8GLb","e1ybzncUwg","12rbrZMWeM","dWAJyo7jo9","sdazOOVcIp","T2fj7uvVaJ","COABgblf1C","2DQ55sFlQl","23Mk6UjR3U"],"dependent_operators":["rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1653","layer":4},{"info":"compute unary expreesion, input=1653, 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 = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":2},{"info":"number node, value=2577","layer":4},{"info":"number node, value=2901","layer":4},{"info":"compute binary expreesion, left_input=2577, right_input=2901, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1966","layer":3},{"info":"compute unary expreesion, input=1966, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2497","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2497, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=4734","layer":4},{"info":"number node, value=4204","layer":4},{"info":"compute binary expreesion, left_input=4734, right_input=4204, op_id = T2fj7uvVaJ binary_op_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=2477","layer":4},{"info":"number node, value=6256","layer":4},{"info":"compute binary expreesion, left_input=2477, right_input=6256, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=7563","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=7563, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-15024","layer":2},{"info":"number node, value=1588","layer":4},{"info":"number node, value=3709","layer":4},{"info":"compute binary expreesion, left_input=1588, right_input=3709, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-4140","layer":3},{"info":"number node, value=1221","layer":4},{"info":"number node, value=4620","layer":4},{"info":"compute binary expreesion, left_input=1221, right_input=4620, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=8019","layer":3},{"info":"compute binary expreesion, left_input=-4140, right_input=8019, 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=-15024, right_input=160, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⨞⊢(⨰⫟⨤⋰*⋻1273))⇼⇔∾(≉⋰*⋻1A33⋳⪒⋰*⋻21A8))↬(⋰*⋻3614⋓⋰*⋻3182⪨≂⋰*⋻1952⊭↱⋰*⋻4778)⪢(⋰*⋻1214⪨≂⋰*⋻2872⨵⪆(⋰*⋻A10⋷⋰*⋻3520))=NaN","reverse_text":"NaN=((⨞⊢(⨰⫟⨤⋰*⋻1273))⇼⇔∾(≉⋰*⋻1A33⋳⪒⋰*⋻21A8))↬(⋰*⋻3614⋓⋰*⋻3182⪨≂⋰*⋻1952⊭↱⋰*⋻4778)⪢(⋰*⋻1214⪨≂⋰*⋻2872⨵⪆(⋰*⋻A10⋷⋰*⋻3520))","cot":[{"info":"⨰⫟⨤⋰*⋻1273=NaN","layer":3},{"info":"⨞⊢NaN=NaN","layer":2},{"info":"⋰*⋻1A33⋳⪒⋰*⋻21A8=⋰*⋻1528","layer":3},{"info":"≉⋰*⋻1528=⋰*⋻1970","layer":2},{"info":"NaN⇼⇔∾⋰*⋻1970=NaN","layer":1},{"info":"⋰*⋻3614⋓⋰*⋻3182=⋰*⋻0","layer":3},{"info":"⋰*⋻1952⊭↱⋰*⋻4778=⋰*⋻5756","layer":3},{"info":"⋰*⋻0⪨≂⋰*⋻5756=⋰*⋻-10319","layer":2},{"info":"⋰*⋻1214⪨≂⋰*⋻2872=⋰*⋻-3124","layer":3},{"info":"⋰*⋻A10⋷⋰*⋻3520=⋰*⋻6030","layer":3},{"info":"⋰*⋻-3124⨵⪆⋰*⋻6030=⋰*⋻136","layer":2},{"info":"⋰*⋻-10319⪢⋰*⋻136=NaN","layer":1},{"info":"NaN↬NaN=NaN","layer":0}]}
{"id":36,"expression_no_base_symbol":"((($6764$⊉≛↸$4219$)⊠≄⫣)*($2231$≭$1730$)⨰($2187$⋫))⪮%⊝(≦∁$1300$*$1114$)⪮%⊝(($3195$≋⫹)⪒$1680$⪄$3846$)","expression":"(((⋰*⋻509A⊉≛↸⋰*⋻3196)⊠≄⫣)*(⋰*⋻1749≭⋰*⋻1333)⨰(⋰*⋻1709⋫))⪮%⊝(≦∁⋰*⋻A82*⋰*⋻923)⪮%⊝((⋰*⋻2445≋⫹)⪒⋰*⋻1298⪄⋰*⋻2987)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3434,"operation_count":13,"complexity_ratio":264.15384615384613,"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":6764,"base":11},"right_expr":{"type":"numeric_atoms","value":4219,"base":11}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2231,"base":11},"right_expr":{"type":"numeric_atoms","value":1730,"base":11}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":2187,"base":11}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1300,"base":11},"right_expr":{"type":"numeric_atoms","value":1114,"base":11}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":3195,"base":11}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1680,"base":11},"right_expr":{"type":"numeric_atoms","value":3846,"base":11}}}}},"used_operators":["IWmyXbctLI","9HNa5Wba9A","DIvbN7qnHd","DZ8iAZOCBD","eewbuw0ToL","rxpJgHHUmx","JL8yIekQnl","9ICcGScMcE","f6k1SAg4EE","N41Kp7NANJ","SUmda5xLS4"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","tmPS8pqC7x","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6764","layer":4},{"info":"number node, value=4219","layer":4},{"info":"compute binary expreesion, left_input=6764, right_input=4219, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=13528","layer":3},{"info":"compute unary expreesion, input=13528, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"number node, value=2231","layer":4},{"info":"number node, value=1730","layer":4},{"info":"compute binary expreesion, left_input=2231, right_input=1730, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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 = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=2187","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2187, 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 = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1300","layer":4},{"info":"number node, value=1114","layer":4},{"info":"compute binary expreesion, left_input=1300, right_input=1114, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=1448200","layer":3},{"info":"compute unary expreesion, input=1448200, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1448200","layer":2},{"info":"number node, value=3195","layer":4},{"info":"compute unary expreesion, input=3195, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-6390","layer":3},{"info":"number node, value=1680","layer":4},{"info":"number node, value=3846","layer":4},{"info":"compute binary expreesion, left_input=1680, right_input=3846, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-260113","layer":3},{"info":"compute binary expreesion, left_input=-6390, right_input=-260113, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=266503","layer":2},{"info":"compute binary expreesion, left_input=1448200, right_input=266503, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2896716","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2896716, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻509A⊉≛↸⋰*⋻3196)⊠≄⫣)*(⋰*⋻1749≭⋰*⋻1333)⨰(⋰*⋻1709⋫))⪮%⊝(≦∁⋰*⋻A82*⋰*⋻923)⪮%⊝((⋰*⋻2445≋⫹)⪒⋰*⋻1298⪄⋰*⋻2987)=NaN","reverse_text":"NaN=(((⋰*⋻509A⊉≛↸⋰*⋻3196)⊠≄⫣)*(⋰*⋻1749≭⋰*⋻1333)⨰(⋰*⋻1709⋫))⪮%⊝(≦∁⋰*⋻A82*⋰*⋻923)⪮%⊝((⋰*⋻2445≋⫹)⪒⋰*⋻1298⪄⋰*⋻2987)","cot":[{"info":"⋰*⋻509A⊉≛↸⋰*⋻3196=⋰*⋻A189","layer":3},{"info":"⋰*⋻A189⊠≄⫣=⋰*⋻0","layer":2},{"info":"⋰*⋻1749≭⋰*⋻1333=NaN","layer":3},{"info":"⋰*⋻1709⋫=⋰*⋻1709","layer":3},{"info":"NaN⨰⋰*⋻1709=NaN","layer":2},{"info":"⋰*⋻0*NaN=NaN","layer":1},{"info":"⋰*⋻A82*⋰*⋻923=⋰*⋻8AA066","layer":3},{"info":"≦∁⋰*⋻8AA066=⋰*⋻8AA066","layer":2},{"info":"⋰*⋻2445≋⫹=⋰*⋻-488A","layer":3},{"info":"⋰*⋻1298⪄⋰*⋻2987=⋰*⋻-168477","layer":3},{"info":"⋰*⋻-488A⪒⋰*⋻-168477=⋰*⋻172256","layer":2},{"info":"⋰*⋻8AA066⪮%⊝⋰*⋻172256=⋰*⋻16A9389","layer":1},{"info":"NaN⪮%⊝⋰*⋻16A9389=NaN","layer":0}]}
{"id":37,"expression_no_base_symbol":"(≦∁$3486$∑⇟⊟$1048$↺($3027$/$1935$))⋷(($5453$⋷$1812$)∲⫓$2466$≹⇙⪍$2906$)⨪↰⇹(($6006$/$4895$)≦≮≮)","expression":"(≦∁⋰*⋻268A∑⇟⊟⋰*⋻873↺(⋰*⋻2302/⋰*⋻14AA))⋷((⋰*⋻4108⋷⋰*⋻13A8)∲⫓⋰*⋻1942≹⇙⪍⋰*⋻2202)⨪↰⇹((⋰*⋻4570/⋰*⋻3750)≦≮≮)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":44,"operation_count":11,"complexity_ratio":4.0,"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":3486,"base":11},"right_expr":{"type":"numeric_atoms","value":1048,"base":11}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3027,"base":11},"right_expr":{"type":"numeric_atoms","value":1935,"base":11}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":5453,"base":11},"right_expr":{"type":"numeric_atoms","value":1812,"base":11}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2466,"base":11},"right_expr":{"type":"numeric_atoms","value":2906,"base":11}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":6006,"base":11},"right_expr":{"type":"numeric_atoms","value":4895,"base":11}}}}},"used_operators":["23Mk6UjR3U","9ICcGScMcE","7j4O788W3g","U7g4x0WXJJ","XhwjNDsVaA","tmPS8pqC7x","i8ToyICDmI","AHs5Up7iyr","D4vGDi5EA2"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻554","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3486","layer":4},{"info":"number node, value=1048","layer":4},{"info":"compute binary expreesion, left_input=3486, right_input=1048, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=3027","layer":4},{"info":"number node, value=1935","layer":4},{"info":"compute binary expreesion, left_input=3027, right_input=1935, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"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":2},{"info":"compute unary expreesion, input=1, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-332","layer":1},{"info":"number node, value=5453","layer":4},{"info":"number node, value=1812","layer":4},{"info":"compute binary expreesion, left_input=5453, right_input=1812, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-1829","layer":3},{"info":"number node, value=2466","layer":4},{"info":"number node, value=2906","layer":4},{"info":"compute binary expreesion, left_input=2466, right_input=2906, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=-1829, 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=6006","layer":4},{"info":"number node, value=4895","layer":4},{"info":"compute binary expreesion, left_input=6006, right_input=4895, 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":"compute binary expreesion, left_input=nan, right_input=-3, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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=-332, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=664","layer":0}],"base":11,"result_base":11,"text":"(≦∁⋰*⋻268A∑⇟⊟⋰*⋻873↺(⋰*⋻2302/⋰*⋻14AA))⋷((⋰*⋻4108⋷⋰*⋻13A8)∲⫓⋰*⋻1942≹⇙⪍⋰*⋻2202)⨪↰⇹((⋰*⋻4570/⋰*⋻3750)≦≮≮)=⋰*⋻554","reverse_text":"⋰*⋻554=(≦∁⋰*⋻268A∑⇟⊟⋰*⋻873↺(⋰*⋻2302/⋰*⋻14AA))⋷((⋰*⋻4108⋷⋰*⋻13A8)∲⫓⋰*⋻1942≹⇙⪍⋰*⋻2202)⨪↰⇹((⋰*⋻4570/⋰*⋻3750)≦≮≮)","cot":[{"info":"⋰*⋻268A∑⇟⊟⋰*⋻873=NaN","layer":3},{"info":"⋰*⋻2302/⋰*⋻14AA=⋰*⋻1","layer":3},{"info":"NaN↺⋰*⋻1=⋰*⋻1","layer":2},{"info":"≦∁⋰*⋻1=⋰*⋻-282","layer":1},{"info":"⋰*⋻4108⋷⋰*⋻13A8=⋰*⋻-1413","layer":3},{"info":"⋰*⋻1942≹⇙⪍⋰*⋻2202=NaN","layer":3},{"info":"⋰*⋻-1413∲⫓NaN=NaN","layer":2},{"info":"⋰*⋻4570/⋰*⋻3750=⋰*⋻1","layer":3},{"info":"⋰*⋻1≦≮≮=⋰*⋻-3","layer":2},{"info":"NaN⨪↰⇹⋰*⋻-3=NaN","layer":1},{"info":"⋰*⋻-282⋷NaN=⋰*⋻554","layer":0}]}
{"id":38,"expression_no_base_symbol":"(⪝⪂⫅($1179$⨰$1303$))⊉≛↸(+⊝⨔($5752$⨓$3644$))⇼⇔∾(($2373$-$2253$)-$1316$⩚⊴⇥$2706$)↬($3265$⋥≓≎$4011$⪨≂$1172$⫥∨⫟$2347$)","expression":"(⪝⪂⫅(⋰*⋻982⨰⋰*⋻A85))⊉≛↸(+⊝⨔(⋰*⋻435A⨓⋰*⋻2813))⇼⇔∾((⋰*⋻1868-⋰*⋻1769)-⋰*⋻A97⩚⊴⇥⋰*⋻2040)↬(⋰*⋻24A9⋥≓≎⋰*⋻3017⪨≂⋰*⋻976⫥∨⫟⋰*⋻1844)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3966,"operation_count":13,"complexity_ratio":305.0769230769231,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1179,"base":11},"right_expr":{"type":"numeric_atoms","value":1303,"base":11}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":5752,"base":11},"right_expr":{"type":"numeric_atoms","value":3644,"base":11}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2373,"base":11},"right_expr":{"type":"numeric_atoms","value":2253,"base":11}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1316,"base":11},"right_expr":{"type":"numeric_atoms","value":2706,"base":11}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3265,"base":11},"right_expr":{"type":"numeric_atoms","value":4011,"base":11}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1172,"base":11},"right_expr":{"type":"numeric_atoms","value":2347,"base":11}}}}},"used_operators":["tifHPKVTfV","DZ8iAZOCBD","XTarYq4gQB","eewbuw0ToL","DhbWaqg5eL","3ViojmjbAp","B5M0gjZbta","rysDP5nf3Z","NTOWxs364D","sdazOOVcIp","Qy55tPpLXF","KYD54nUTWz"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1179","layer":4},{"info":"number node, value=1303","layer":4},{"info":"compute binary expreesion, left_input=1179, right_input=1303, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-114","layer":3},{"info":"compute unary expreesion, input=-114, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=16758","layer":2},{"info":"number node, value=5752","layer":4},{"info":"number node, value=3644","layer":4},{"info":"compute binary expreesion, left_input=5752, right_input=3644, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3647","layer":3},{"info":"compute unary expreesion, input=-3647, 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=16758, right_input=1522, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=33516","layer":1},{"info":"number node, value=2373","layer":4},{"info":"number node, value=2253","layer":4},{"info":"compute binary expreesion, left_input=2373, right_input=2253, op_id = rysDP5nf3Z binary_op_definition= 'None', output=120","layer":3},{"info":"number node, value=1316","layer":4},{"info":"number node, value=2706","layer":4},{"info":"compute binary expreesion, left_input=1316, right_input=2706, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4143","layer":3},{"info":"compute binary expreesion, left_input=120, right_input=-4143, op_id = rysDP5nf3Z binary_op_definition= 'None', output=4263","layer":2},{"info":"number node, value=3265","layer":4},{"info":"number node, value=4011","layer":4},{"info":"compute binary expreesion, left_input=3265, right_input=4011, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=4790","layer":3},{"info":"number node, value=1172","layer":4},{"info":"number node, value=2347","layer":4},{"info":"compute binary expreesion, left_input=1172, right_input=2347, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4790, 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=4263, 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=33516, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⪝⪂⫅(⋰*⋻982⨰⋰*⋻A85))⊉≛↸(+⊝⨔(⋰*⋻435A⨓⋰*⋻2813))⇼⇔∾((⋰*⋻1868-⋰*⋻1769)-⋰*⋻A97⩚⊴⇥⋰*⋻2040)↬(⋰*⋻24A9⋥≓≎⋰*⋻3017⪨≂⋰*⋻976⫥∨⫟⋰*⋻1844)=NaN","reverse_text":"NaN=(⪝⪂⫅(⋰*⋻982⨰⋰*⋻A85))⊉≛↸(+⊝⨔(⋰*⋻435A⨓⋰*⋻2813))⇼⇔∾((⋰*⋻1868-⋰*⋻1769)-⋰*⋻A97⩚⊴⇥⋰*⋻2040)↬(⋰*⋻24A9⋥≓≎⋰*⋻3017⪨≂⋰*⋻976⫥∨⫟⋰*⋻1844)","cot":[{"info":"⋰*⋻982⨰⋰*⋻A85=⋰*⋻-A4","layer":3},{"info":"⪝⪂⫅⋰*⋻-A4=⋰*⋻11655","layer":2},{"info":"⋰*⋻435A⨓⋰*⋻2813=⋰*⋻-2816","layer":3},{"info":"+⊝⨔⋰*⋻-2816=⋰*⋻1164","layer":2},{"info":"⋰*⋻11655⊉≛↸⋰*⋻1164=⋰*⋻231AA","layer":1},{"info":"⋰*⋻1868-⋰*⋻1769=⋰*⋻AA","layer":3},{"info":"⋰*⋻A97⩚⊴⇥⋰*⋻2040=⋰*⋻-3127","layer":3},{"info":"⋰*⋻AA-⋰*⋻-3127=⋰*⋻3226","layer":2},{"info":"⋰*⋻24A9⋥≓≎⋰*⋻3017=⋰*⋻3665","layer":3},{"info":"⋰*⋻976⫥∨⫟⋰*⋻1844=NaN","layer":3},{"info":"⋰*⋻3665⪨≂NaN=NaN","layer":2},{"info":"⋰*⋻3226↬NaN=NaN","layer":1},{"info":"⋰*⋻231AA⇼⇔∾NaN=NaN","layer":0}]}
{"id":39,"expression_no_base_symbol":"⋗⩬⋾(⊄⩳↩(⇁⨣⪵$1675$))⨎($3211$⪒$6195$)+⇶⊼($6298$↺$2557$)","expression":"⋗⩬⋾(⊄⩳↩(⇁⨣⪵⋰*⋻1293))⨎(⋰*⋻245A⪒⋰*⋻4722)+⇶⊼(⋰*⋻4806↺⋰*⋻1A15)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":14,"operation_count":7,"complexity_ratio":2.0,"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":1675,"base":11}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3211,"base":11},"right_expr":{"type":"numeric_atoms","value":6195,"base":11}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":6298,"base":11},"right_expr":{"type":"numeric_atoms","value":2557,"base":11}}}}},"used_operators":["DpFCA1CohY","rJVOvQCfKK","8w2t5hMYqp","inkyxCbjAn","TpPTUOHfaN","f6k1SAg4EE","7j4O788W3g"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1675","layer":4},{"info":"compute unary expreesion, input=1675, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":2},{"info":"number node, value=3211","layer":4},{"info":"number node, value=6195","layer":4},{"info":"compute binary expreesion, left_input=3211, right_input=6195, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-9406","layer":3},{"info":"number node, value=6298","layer":4},{"info":"number node, value=2557","layer":4},{"info":"compute binary expreesion, left_input=6298, right_input=2557, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2557","layer":3},{"info":"compute binary expreesion, left_input=-9406, right_input=2557, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⋗⩬⋾(⊄⩳↩(⇁⨣⪵⋰*⋻1293))⨎(⋰*⋻245A⪒⋰*⋻4722)+⇶⊼(⋰*⋻4806↺⋰*⋻1A15)=NaN","reverse_text":"NaN=⋗⩬⋾(⊄⩳↩(⇁⨣⪵⋰*⋻1293))⨎(⋰*⋻245A⪒⋰*⋻4722)+⇶⊼(⋰*⋻4806↺⋰*⋻1A15)","cot":[{"info":"⇁⨣⪵⋰*⋻1293=NaN","layer":3},{"info":"⊄⩳↩NaN=NaN","layer":2},{"info":"⋰*⋻245A⪒⋰*⋻4722=⋰*⋻-7081","layer":3},{"info":"⋰*⋻4806↺⋰*⋻1A15=⋰*⋻1A15","layer":3},{"info":"⋰*⋻-7081+⇶⊼⋰*⋻1A15=NaN","layer":2},{"info":"NaN⨎NaN=NaN","layer":1},{"info":"⋗⩬⋾NaN=NaN","layer":0}]}
{"id":40,"expression_no_base_symbol":"(∥⊫($1027$⨓$1232$⫡⨏$2554$%$2208$))⊪","expression":"(∥⊫(⋰*⋻854⨓⋰*⋻A20⫡⨏⋰*⋻1A12%⋰*⋻1728))⊪","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1283,"operation_count":5,"complexity_ratio":256.6,"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":1027,"base":11},"right_expr":{"type":"numeric_atoms","value":1232,"base":11}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2554,"base":11},"right_expr":{"type":"numeric_atoms","value":2208,"base":11}}}}},"used_operators":["zVYPLywUTj","P8v4zCKN1o","QMFrweE19q","3ViojmjbAp","k8jYdgA6NY"],"dependent_operators":["sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1027","layer":4},{"info":"number node, value=1232","layer":4},{"info":"compute binary expreesion, left_input=1027, right_input=1232, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1235","layer":3},{"info":"number node, value=2554","layer":4},{"info":"number node, value=2208","layer":4},{"info":"compute binary expreesion, left_input=2554, right_input=2208, op_id = k8jYdgA6NY binary_op_definition= 'None', output=346","layer":3},{"info":"compute binary expreesion, left_input=-1235, right_input=346, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-4700","layer":2},{"info":"compute unary expreesion, input=-4700, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=-55","layer":1},{"info":"compute unary expreesion, input=-55, op_id = 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":11,"result_base":11,"text":"(∥⊫(⋰*⋻854⨓⋰*⋻A20⫡⨏⋰*⋻1A12%⋰*⋻1728))⊪=⋰*⋻0","reverse_text":"⋰*⋻0=(∥⊫(⋰*⋻854⨓⋰*⋻A20⫡⨏⋰*⋻1A12%⋰*⋻1728))⊪","cot":[{"info":"⋰*⋻854⨓⋰*⋻A20=⋰*⋻-A23","layer":3},{"info":"⋰*⋻1A12%⋰*⋻1728=⋰*⋻295","layer":3},{"info":"⋰*⋻-A23⫡⨏⋰*⋻295=⋰*⋻-3593","layer":2},{"info":"∥⊫⋰*⋻-3593=⋰*⋻-50","layer":1},{"info":"⋰*⋻-50⊪=⋰*⋻0","layer":0}]}
{"id":41,"expression_no_base_symbol":"($3689$⩨$4292$-(⊙↵-$4374$))⋝⋈⪟($1883$⪘⫢$4320$)⪢($1544$⫸⊐$3102$)↺(($1676$∀⇚≩$6516$⨵⪆$4557$⩚⊴⇥$2738$)*(∂$4196$⨪↰⇹$1553$))","expression":"(⋰*⋻2854⩨⋰*⋻3252-(⊙↵-⋰*⋻3317))⋝⋈⪟(⋰*⋻1462⪘⫢⋰*⋻3278)⪢(⋰*⋻1184⫸⊐⋰*⋻2370)↺((⋰*⋻1294∀⇚≩⋰*⋻4994⨵⪆⋰*⋻3473⩚⊴⇥⋰*⋻206A)*(∂⋰*⋻3175⨪↰⇹⋰*⋻1192))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":32686,"operation_count":14,"complexity_ratio":2334.714285714286,"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":3689,"base":11},"right_expr":{"type":"numeric_atoms","value":4292,"base":11}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":4374,"base":11}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1883,"base":11},"right_expr":{"type":"numeric_atoms","value":4320,"base":11}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1544,"base":11},"right_expr":{"type":"numeric_atoms","value":3102,"base":11}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1676,"base":11},"right_expr":{"type":"numeric_atoms","value":6516,"base":11}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4557,"base":11},"right_expr":{"type":"numeric_atoms","value":2738,"base":11}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4196,"base":11},"right_expr":{"type":"numeric_atoms","value":1553,"base":11}}}}},"used_operators":["7j4O788W3g","2DDjHMKMc0","rysDP5nf3Z","2DlMacCsIx","oWn0xqSxBt","dWAJyo7jo9","oacrs7FA3X","mqXw5SEYmG","9HNa5Wba9A","2DQ55sFlQl","LRNGc0VcxI","NTOWxs364D","Uaa54Peajs","tmPS8pqC7x"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3689","layer":4},{"info":"number node, value=4292","layer":4},{"info":"compute binary expreesion, left_input=3689, right_input=4292, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=4374","layer":4},{"info":"compute unary expreesion, input=4374, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=-1, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-2","layer":2},{"info":"number node, value=1883","layer":4},{"info":"number node, value=4320","layer":4},{"info":"compute binary expreesion, left_input=1883, right_input=4320, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3642","layer":3},{"info":"number node, value=1544","layer":4},{"info":"number node, value=3102","layer":4},{"info":"compute binary expreesion, left_input=1544, right_input=3102, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=12283","layer":3},{"info":"compute binary expreesion, left_input=3642, right_input=12283, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=-2, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=1676","layer":4},{"info":"number node, value=6516","layer":4},{"info":"compute binary expreesion, left_input=1676, right_input=6516, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=4557","layer":4},{"info":"number node, value=2738","layer":4},{"info":"compute binary expreesion, left_input=4557, right_input=2738, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7416","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-7416, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=4196","layer":4},{"info":"number node, value=1553","layer":4},{"info":"compute binary expreesion, left_input=4196, right_input=1553, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=4196","layer":3},{"info":"compute unary expreesion, input=4196, 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=160, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻2854⩨⋰*⋻3252-(⊙↵-⋰*⋻3317))⋝⋈⪟(⋰*⋻1462⪘⫢⋰*⋻3278)⪢(⋰*⋻1184⫸⊐⋰*⋻2370)↺((⋰*⋻1294∀⇚≩⋰*⋻4994⨵⪆⋰*⋻3473⩚⊴⇥⋰*⋻206A)*(∂⋰*⋻3175⨪↰⇹⋰*⋻1192))=NaN","reverse_text":"NaN=(⋰*⋻2854⩨⋰*⋻3252-(⊙↵-⋰*⋻3317))⋝⋈⪟(⋰*⋻1462⪘⫢⋰*⋻3278)⪢(⋰*⋻1184⫸⊐⋰*⋻2370)↺((⋰*⋻1294∀⇚≩⋰*⋻4994⨵⪆⋰*⋻3473⩚⊴⇥⋰*⋻206A)*(∂⋰*⋻3175⨪↰⇹⋰*⋻1192))","cot":[{"info":"⋰*⋻2854⩨⋰*⋻3252=⋰*⋻-3","layer":3},{"info":"⊙↵-⋰*⋻3317=⋰*⋻-1","layer":3},{"info":"⋰*⋻-3-⋰*⋻-1=⋰*⋻-2","layer":2},{"info":"⋰*⋻1462⪘⫢⋰*⋻3278=⋰*⋻2811","layer":3},{"info":"⋰*⋻1184⫸⊐⋰*⋻2370=⋰*⋻9257","layer":3},{"info":"⋰*⋻2811⪢⋰*⋻9257=NaN","layer":2},{"info":"⋰*⋻-2⋝⋈⪟NaN=NaN","layer":1},{"info":"⋰*⋻1294∀⇚≩⋰*⋻4994=NaN","layer":3},{"info":"⋰*⋻3473⩚⊴⇥⋰*⋻206A=⋰*⋻-5632","layer":3},{"info":"NaN⨵⪆⋰*⋻-5632=⋰*⋻136","layer":2},{"info":"⋰*⋻3175⨪↰⇹⋰*⋻1192=⋰*⋻3175","layer":3},{"info":"∂⋰*⋻3175=NaN","layer":2},{"info":"⋰*⋻136*NaN=NaN","layer":1},{"info":"NaN↺NaN=NaN","layer":0}]}
{"id":42,"expression_no_base_symbol":"(($2219$∀⇚≩$5226$∲⫓(↩$6044$))∲⫓($2330$↪⪝)⪛($2184$%$1878$))⇷((($6999$⇋≉)⪒$4130$⩚⊴⇥$5863$)↺(($1594$⊘)⫌⩹⨱))","expression":"((⋰*⋻1738∀⇚≩⋰*⋻3A21∲⫓(↩⋰*⋻45A5))∲⫓(⋰*⋻1829↪⪝)⪛(⋰*⋻1706%⋰*⋻1458))⇷(((⋰*⋻5293⇋≉)⪒⋰*⋻3115⩚⊴⇥⋰*⋻4450)↺((⋰*⋻121A⊘)⫌⩹⨱))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":482161,"operation_count":14,"complexity_ratio":34440.07142857143,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2219,"base":11},"right_expr":{"type":"numeric_atoms","value":5226,"base":11}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":6044,"base":11}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":2330,"base":11}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2184,"base":11},"right_expr":{"type":"numeric_atoms","value":1878,"base":11}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":6999,"base":11}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4130,"base":11},"right_expr":{"type":"numeric_atoms","value":5863,"base":11}}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1594,"base":11}}}}},"used_operators":["mp7IySMOzn","i8ToyICDmI","LRNGc0VcxI","jLgFTUHLKL","uFcxV4UQCh","l07mrZUIn9","k8jYdgA6NY","7j4O788W3g","f6k1SAg4EE","XIabStNQrY","NTOWxs364D","EBcxylXtPf","gu96TGCTMs"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"⋰*⋻2118","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2219","layer":4},{"info":"number node, value=5226","layer":4},{"info":"compute binary expreesion, left_input=2219, right_input=5226, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=6044","layer":4},{"info":"compute unary expreesion, input=6044, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-45572","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-45572, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"number node, value=2330","layer":4},{"info":"compute unary expreesion, input=2330, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=142554060","layer":3},{"info":"number node, value=2184","layer":4},{"info":"number node, value=1878","layer":4},{"info":"compute binary expreesion, left_input=2184, right_input=1878, op_id = k8jYdgA6NY binary_op_definition= 'None', output=306","layer":3},{"info":"compute binary expreesion, left_input=142554060, right_input=306, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=288","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=288, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":1},{"info":"number node, value=6999","layer":4},{"info":"compute unary expreesion, input=6999, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=13900","layer":3},{"info":"number node, value=4130","layer":4},{"info":"number node, value=5863","layer":4},{"info":"compute binary expreesion, left_input=4130, right_input=5863, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-10114","layer":3},{"info":"compute binary expreesion, left_input=13900, right_input=-10114, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3786","layer":2},{"info":"number node, value=1594","layer":4},{"info":"compute unary expreesion, input=1594, 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 = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=1401","layer":2},{"info":"compute binary expreesion, left_input=-3786, right_input=1401, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1401","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1401, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2802","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1738∀⇚≩⋰*⋻3A21∲⫓(↩⋰*⋻45A5))∲⫓(⋰*⋻1829↪⪝)⪛(⋰*⋻1706%⋰*⋻1458))⇷(((⋰*⋻5293⇋≉)⪒⋰*⋻3115⩚⊴⇥⋰*⋻4450)↺((⋰*⋻121A⊘)⫌⩹⨱))=⋰*⋻2118","reverse_text":"⋰*⋻2118=((⋰*⋻1738∀⇚≩⋰*⋻3A21∲⫓(↩⋰*⋻45A5))∲⫓(⋰*⋻1829↪⪝)⪛(⋰*⋻1706%⋰*⋻1458))⇷(((⋰*⋻5293⇋≉)⪒⋰*⋻3115⩚⊴⇥⋰*⋻4450)↺((⋰*⋻121A⊘)⫌⩹⨱))","cot":[{"info":"⋰*⋻1738∀⇚≩⋰*⋻3A21=NaN","layer":3},{"info":"↩⋰*⋻45A5=⋰*⋻-3126A","layer":3},{"info":"NaN∲⫓⋰*⋻-3126A=NaN","layer":2},{"info":"⋰*⋻1829↪⪝=⋰*⋻73516A80","layer":3},{"info":"⋰*⋻1706%⋰*⋻1458=⋰*⋻259","layer":3},{"info":"⋰*⋻73516A80⪛⋰*⋻259=⋰*⋻242","layer":2},{"info":"NaN∲⫓⋰*⋻242=NaN","layer":1},{"info":"⋰*⋻5293⇋≉=⋰*⋻A497","layer":3},{"info":"⋰*⋻3115⩚⊴⇥⋰*⋻4450=⋰*⋻-7665","layer":3},{"info":"⋰*⋻A497⪒⋰*⋻-7665=⋰*⋻-2932","layer":2},{"info":"⋰*⋻121A⊘=⋰*⋻0","layer":3},{"info":"⋰*⋻0⫌⩹⨱=⋰*⋻1064","layer":2},{"info":"⋰*⋻-2932↺⋰*⋻1064=⋰*⋻1064","layer":1},{"info":"NaN⇷⋰*⋻1064=⋰*⋻2118","layer":0}]}
{"id":43,"expression_no_base_symbol":"(($2162$∑⇟⊟$1527$⩷∴$3558$⪘⫢$3148$)∑⇟⊟((⊄⩳↩$4233$)⪒$1319$⩚⊴⇥$2083$))≹⇙⪍(+⊝⨔(∂($1070$⪐)))","expression":"((⋰*⋻1696∑⇟⊟⋰*⋻1169⩷∴⋰*⋻2745⪘⫢⋰*⋻2402)∑⇟⊟((⊄⩳↩⋰*⋻31A9)⪒⋰*⋻A9A⩚⊴⇥⋰*⋻1624))≹⇙⪍(+⊝⨔(∂(⋰*⋻893⪐)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":56,"operation_count":11,"complexity_ratio":5.090909090909091,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2162,"base":11},"right_expr":{"type":"numeric_atoms","value":1527,"base":11}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3558,"base":11},"right_expr":{"type":"numeric_atoms","value":3148,"base":11}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":4233,"base":11}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1319,"base":11},"right_expr":{"type":"numeric_atoms","value":2083,"base":11}}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1070,"base":11}}}}},"used_operators":["AHs5Up7iyr","U7g4x0WXJJ","9FxExcQeMw","oacrs7FA3X","f6k1SAg4EE","8w2t5hMYqp","NTOWxs364D","DhbWaqg5eL","Uaa54Peajs","eH2TOUuTDT"],"dependent_operators":["dWAJyo7jo9","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2162","layer":4},{"info":"number node, value=1527","layer":4},{"info":"compute binary expreesion, left_input=2162, right_input=1527, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=3558","layer":4},{"info":"number node, value=3148","layer":4},{"info":"compute binary expreesion, left_input=3558, right_input=3148, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6992","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6992, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"number node, value=4233","layer":4},{"info":"compute unary expreesion, input=4233, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-12699","layer":3},{"info":"number node, value=1319","layer":4},{"info":"number node, value=2083","layer":4},{"info":"compute binary expreesion, left_input=1319, right_input=2083, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3523","layer":3},{"info":"compute binary expreesion, left_input=-12699, right_input=-3523, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=16222","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=16222, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=1070","layer":4},{"info":"compute unary expreesion, input=1070, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2140","layer":3},{"info":"compute unary expreesion, input=2140, 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 = 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 = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1696∑⇟⊟⋰*⋻1169⩷∴⋰*⋻2745⪘⫢⋰*⋻2402)∑⇟⊟((⊄⩳↩⋰*⋻31A9)⪒⋰*⋻A9A⩚⊴⇥⋰*⋻1624))≹⇙⪍(+⊝⨔(∂(⋰*⋻893⪐)))=NaN","reverse_text":"NaN=((⋰*⋻1696∑⇟⊟⋰*⋻1169⩷∴⋰*⋻2745⪘⫢⋰*⋻2402)∑⇟⊟((⊄⩳↩⋰*⋻31A9)⪒⋰*⋻A9A⩚⊴⇥⋰*⋻1624))≹⇙⪍(+⊝⨔(∂(⋰*⋻893⪐)))","cot":[{"info":"⋰*⋻1696∑⇟⊟⋰*⋻1169=NaN","layer":3},{"info":"⋰*⋻2745⪘⫢⋰*⋻2402=⋰*⋻5287","layer":3},{"info":"NaN⩷∴⋰*⋻5287=NaN","layer":2},{"info":"⊄⩳↩⋰*⋻31A9=⋰*⋻-95A5","layer":3},{"info":"⋰*⋻A9A⩚⊴⇥⋰*⋻1624=⋰*⋻-2713","layer":3},{"info":"⋰*⋻-95A5⪒⋰*⋻-2713=⋰*⋻11208","layer":2},{"info":"NaN∑⇟⊟⋰*⋻11208=NaN","layer":1},{"info":"⋰*⋻893⪐=⋰*⋻1676","layer":3},{"info":"∂⋰*⋻1676=NaN","layer":2},{"info":"+⊝⨔NaN=⋰*⋻1164","layer":1},{"info":"NaN≹⇙⪍⋰*⋻1164=NaN","layer":0}]}
{"id":44,"expression_no_base_symbol":"(($1093$%$8373$⪨≂(⪝⪂⫅$3708$))⨰(⨑⩽⪐$2408$↬$4629$))≦≮≮","expression":"((⋰*⋻904%⋰*⋻6322⪨≂(⪝⪂⫅⋰*⋻2871))⨰(⨑⩽⪐⋰*⋻189A↬⋰*⋻3529))≦≮≮","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":173,"operation_count":7,"complexity_ratio":24.714285714285715,"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":1093,"base":11},"right_expr":{"type":"numeric_atoms","value":8373,"base":11}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":3708,"base":11}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2408,"base":11},"right_expr":{"type":"numeric_atoms","value":4629,"base":11}}}}},"used_operators":["D4vGDi5EA2","eewbuw0ToL","sdazOOVcIp","k8jYdgA6NY","XTarYq4gQB","AF7qkfDlqP","B5M0gjZbta"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1093","layer":4},{"info":"number node, value=8373","layer":4},{"info":"compute binary expreesion, left_input=1093, right_input=8373, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1093","layer":3},{"info":"number node, value=3708","layer":4},{"info":"compute unary expreesion, input=3708, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-545076","layer":3},{"info":"compute binary expreesion, left_input=1093, right_input=-545076, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=1092440","layer":2},{"info":"number node, value=2408","layer":4},{"info":"number node, value=4629","layer":4},{"info":"compute binary expreesion, left_input=2408, right_input=4629, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1092440, 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 = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻904%⋰*⋻6322⪨≂(⪝⪂⫅⋰*⋻2871))⨰(⨑⩽⪐⋰*⋻189A↬⋰*⋻3529))≦≮≮=NaN","reverse_text":"NaN=((⋰*⋻904%⋰*⋻6322⪨≂(⪝⪂⫅⋰*⋻2871))⨰(⨑⩽⪐⋰*⋻189A↬⋰*⋻3529))≦≮≮","cot":[{"info":"⋰*⋻904%⋰*⋻6322=⋰*⋻904","layer":3},{"info":"⪝⪂⫅⋰*⋻2871=⋰*⋻-342584","layer":3},{"info":"⋰*⋻904⪨≂⋰*⋻-342584=⋰*⋻686848","layer":2},{"info":"⋰*⋻189A↬⋰*⋻3529=NaN","layer":3},{"info":"⨑⩽⪐NaN=NaN","layer":2},{"info":"⋰*⋻686848⨰NaN=NaN","layer":1},{"info":"NaN≦≮≮=NaN","layer":0}]}
{"id":45,"expression_no_base_symbol":"⊄⩳↩(($2175$⨸⪁$1054$)⨐⩸⫘($4915$⇼⇔∾$1758$)%($2397$⋓$4573$)⊴($2199$+⇶⊼$1232$))","expression":"⊄⩳↩((⋰*⋻16A8⨸⪁⋰*⋻879)⨐⩸⫘(⋰*⋻3769⇼⇔∾⋰*⋻1359)%(⋰*⋻188A⋓⋰*⋻3488)⊴(⋰*⋻171A+⇶⊼⋰*⋻A20))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":31,"operation_count":8,"complexity_ratio":3.875,"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":2175,"base":11},"right_expr":{"type":"numeric_atoms","value":1054,"base":11}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":4915,"base":11},"right_expr":{"type":"numeric_atoms","value":1758,"base":11}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2397,"base":11},"right_expr":{"type":"numeric_atoms","value":4573,"base":11}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2199,"base":11},"right_expr":{"type":"numeric_atoms","value":1232,"base":11}}}}},"used_operators":["8w2t5hMYqp","k8jYdgA6NY","fu6greOZ01","g55IO6H4Gj","tifHPKVTfV","Nsiff2A1zJ","T2fj7uvVaJ","TpPTUOHfaN"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2175","layer":4},{"info":"number node, value=1054","layer":4},{"info":"compute binary expreesion, left_input=2175, right_input=1054, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=6458","layer":3},{"info":"number node, value=4915","layer":4},{"info":"number node, value=1758","layer":4},{"info":"compute binary expreesion, left_input=4915, right_input=1758, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-3157","layer":3},{"info":"compute binary expreesion, left_input=6458, right_input=-3157, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=2397","layer":4},{"info":"number node, value=4573","layer":4},{"info":"compute binary expreesion, left_input=2397, right_input=4573, op_id = T2fj7uvVaJ binary_op_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=2199","layer":4},{"info":"number node, value=1232","layer":4},{"info":"compute binary expreesion, left_input=2199, right_input=1232, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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 = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⊄⩳↩((⋰*⋻16A8⨸⪁⋰*⋻879)⨐⩸⫘(⋰*⋻3769⇼⇔∾⋰*⋻1359)%(⋰*⋻188A⋓⋰*⋻3488)⊴(⋰*⋻171A+⇶⊼⋰*⋻A20))=NaN","reverse_text":"NaN=⊄⩳↩((⋰*⋻16A8⨸⪁⋰*⋻879)⨐⩸⫘(⋰*⋻3769⇼⇔∾⋰*⋻1359)%(⋰*⋻188A⋓⋰*⋻3488)⊴(⋰*⋻171A+⇶⊼⋰*⋻A20))","cot":[{"info":"⋰*⋻16A8⨸⪁⋰*⋻879=⋰*⋻4941","layer":3},{"info":"⋰*⋻3769⇼⇔∾⋰*⋻1359=⋰*⋻-2410","layer":3},{"info":"⋰*⋻4941⨐⩸⫘⋰*⋻-2410=NaN","layer":2},{"info":"⋰*⋻188A⋓⋰*⋻3488=⋰*⋻0","layer":3},{"info":"⋰*⋻171A+⇶⊼⋰*⋻A20=NaN","layer":3},{"info":"⋰*⋻0⊴NaN=NaN","layer":2},{"info":"NaN%NaN=NaN","layer":1},{"info":"⊄⩳↩NaN=NaN","layer":0}]}
{"id":46,"expression_no_base_symbol":"(($1585$⪢$2238$⊉≛↸(↽≂$3988$))⩤)⫌⩹⨱","expression":"((⋰*⋻1211⪢⋰*⋻1755⊉≛↸(↽≂⋰*⋻2AA6))⩤)⫌⩹⨱","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2251,"operation_count":5,"complexity_ratio":450.2,"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":1585,"base":11},"right_expr":{"type":"numeric_atoms","value":2238,"base":11}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":3988,"base":11}}}}},"used_operators":["EBcxylXtPf","Z2TMIBDE3Q","DZ8iAZOCBD","dWAJyo7jo9","u6S6b8DprG"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1585","layer":4},{"info":"number node, value=2238","layer":4},{"info":"compute binary expreesion, left_input=1585, right_input=2238, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=3988","layer":4},{"info":"compute unary expreesion, input=3988, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-7976","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-7976, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-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":11,"result_base":11,"text":"((⋰*⋻1211⪢⋰*⋻1755⊉≛↸(↽≂⋰*⋻2AA6))⩤)⫌⩹⨱=NaN","reverse_text":"NaN=((⋰*⋻1211⪢⋰*⋻1755⊉≛↸(↽≂⋰*⋻2AA6))⩤)⫌⩹⨱","cot":[{"info":"⋰*⋻1211⪢⋰*⋻1755=NaN","layer":3},{"info":"↽≂⋰*⋻2AA6=⋰*⋻-5AA1","layer":3},{"info":"NaN⊉≛↸⋰*⋻-5AA1=NaN","layer":2},{"info":"NaN⩤=NaN","layer":1},{"info":"NaN⫌⩹⨱=NaN","layer":0}]}
{"id":47,"expression_no_base_symbol":"⨈⫕($1468$⨎$2733$)∼(⫛⫱⨽$2483$)⩷∴($5716$⪮%⊝$1414$⊠≄⫣)","expression":"⨈⫕(⋰*⋻1115⨎⋰*⋻2065)∼(⫛⫱⨽⋰*⋻1958)⩷∴(⋰*⋻4327⪮%⊝⋰*⋻1076⊠≄⫣)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1901,"operation_count":7,"complexity_ratio":271.57142857142856,"tree":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1468,"base":11},"right_expr":{"type":"numeric_atoms","value":2733,"base":11}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2483,"base":11}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":5716,"base":11},"right_expr":{"type":"numeric_atoms","value":1414,"base":11}}}}},"used_operators":["megm06wKyl","9FxExcQeMw","DyGG3AbaNP","rJVOvQCfKK","DlLNRPXxWL","DIvbN7qnHd","IWmyXbctLI"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⋰*⋻-1A","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1468","layer":4},{"info":"number node, value=2733","layer":4},{"info":"compute binary expreesion, left_input=1468, right_input=2733, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2733","layer":3},{"info":"number node, value=2483","layer":4},{"info":"compute unary expreesion, input=2483, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2733, 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=5716","layer":4},{"info":"number node, value=1414","layer":4},{"info":"compute binary expreesion, left_input=5716, right_input=1414, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=11748","layer":3},{"info":"compute unary expreesion, input=11748, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=20, right_input=0, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=8","layer":1},{"info":"compute unary expreesion, input=8, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":0}],"base":11,"result_base":11,"text":"⨈⫕(⋰*⋻1115⨎⋰*⋻2065)∼(⫛⫱⨽⋰*⋻1958)⩷∴(⋰*⋻4327⪮%⊝⋰*⋻1076⊠≄⫣)=⋰*⋻-1A","reverse_text":"⋰*⋻-1A=⨈⫕(⋰*⋻1115⨎⋰*⋻2065)∼(⫛⫱⨽⋰*⋻1958)⩷∴(⋰*⋻4327⪮%⊝⋰*⋻1076⊠≄⫣)","cot":[{"info":"⋰*⋻1115⨎⋰*⋻2065=⋰*⋻2065","layer":3},{"info":"⫛⫱⨽⋰*⋻1958=⋰*⋻0","layer":3},{"info":"⋰*⋻2065∼⋰*⋻0=⋰*⋻19","layer":2},{"info":"⋰*⋻4327⪮%⊝⋰*⋻1076=⋰*⋻8910","layer":3},{"info":"⋰*⋻8910⊠≄⫣=⋰*⋻0","layer":2},{"info":"⋰*⋻19⩷∴⋰*⋻0=⋰*⋻8","layer":1},{"info":"⨈⫕⋰*⋻8=⋰*⋻-1A","layer":0}]}
{"id":48,"expression_no_base_symbol":"((↔$3522$)⨟⋌⩍($1362$⨳⩥⨓$3676$)-$4363$⪘⫢$2571$+⇶⊼(⪲⇎$6961$))⪮%⊝(($1069$⨽$4051$)∼($1622$≫≃)⫥∨⫟($4125$⨟⋌⩍$1528$⨸⪁($1686$∲⫓$8024$)))","expression":"((↔⋰*⋻2712)⨟⋌⩍(⋰*⋻1029⨳⩥⨓⋰*⋻2842)-⋰*⋻3307⪘⫢⋰*⋻1A28+⇶⊼(⪲⇎⋰*⋻5259))⪮%⊝((⋰*⋻892⨽⋰*⋻3053)∼(⋰*⋻1245≫≃)⫥∨⫟(⋰*⋻3110⨟⋌⩍⋰*⋻116A⨸⪁(⋰*⋻12A3∲⫓⋰*⋻6035)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":68719,"operation_count":15,"complexity_ratio":4581.266666666666,"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":3522,"base":11}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1362,"base":11},"right_expr":{"type":"numeric_atoms","value":3676,"base":11}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4363,"base":11},"right_expr":{"type":"numeric_atoms","value":2571,"base":11}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":6961,"base":11}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1069,"base":11},"right_expr":{"type":"numeric_atoms","value":4051,"base":11}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1622,"base":11}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4125,"base":11},"right_expr":{"type":"numeric_atoms","value":1528,"base":11}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1686,"base":11},"right_expr":{"type":"numeric_atoms","value":8024,"base":11}}}}},"used_operators":["IWmyXbctLI","rysDP5nf3Z","rGHVDoGpnC","ruOEQAzv1W","nCS4ZIUYfx","TpPTUOHfaN","oacrs7FA3X","XPYlsWDdGa","KYD54nUTWz","DyGG3AbaNP","8HhzD0ZcuI","X99M06cbEe","g55IO6H4Gj","i8ToyICDmI"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","Tcnh7f0tEr","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3522","layer":4},{"info":"compute unary expreesion, input=3522, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3249","layer":3},{"info":"number node, value=1362","layer":4},{"info":"number node, value=3676","layer":4},{"info":"compute binary expreesion, left_input=1362, right_input=3676, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2314","layer":3},{"info":"compute binary expreesion, left_input=-3249, right_input=2314, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=4363","layer":4},{"info":"number node, value=2571","layer":4},{"info":"compute binary expreesion, left_input=4363, 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=8602","layer":3},{"info":"number node, value=6961","layer":4},{"info":"compute unary expreesion, input=6961, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=13922","layer":3},{"info":"compute binary expreesion, left_input=8602, right_input=13922, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=1069","layer":4},{"info":"number node, value=4051","layer":4},{"info":"compute binary expreesion, left_input=1069, right_input=4051, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3439122","layer":3},{"info":"number node, value=1622","layer":4},{"info":"compute unary expreesion, input=1622, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=4645","layer":3},{"info":"compute binary expreesion, left_input=-3439122, right_input=4645, 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=4125","layer":4},{"info":"number node, value=1528","layer":4},{"info":"compute binary expreesion, left_input=4125, right_input=1528, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1686","layer":4},{"info":"number node, value=8024","layer":4},{"info":"compute binary expreesion, left_input=1686, right_input=8024, 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 = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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 = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((↔⋰*⋻2712)⨟⋌⩍(⋰*⋻1029⨳⩥⨓⋰*⋻2842)-⋰*⋻3307⪘⫢⋰*⋻1A28+⇶⊼(⪲⇎⋰*⋻5259))⪮%⊝((⋰*⋻892⨽⋰*⋻3053)∼(⋰*⋻1245≫≃)⫥∨⫟(⋰*⋻3110⨟⋌⩍⋰*⋻116A⨸⪁(⋰*⋻12A3∲⫓⋰*⋻6035)))=NaN","reverse_text":"NaN=((↔⋰*⋻2712)⨟⋌⩍(⋰*⋻1029⨳⩥⨓⋰*⋻2842)-⋰*⋻3307⪘⫢⋰*⋻1A28+⇶⊼(⪲⇎⋰*⋻5259))⪮%⊝((⋰*⋻892⨽⋰*⋻3053)∼(⋰*⋻1245≫≃)⫥∨⫟(⋰*⋻3110⨟⋌⩍⋰*⋻116A⨸⪁(⋰*⋻12A3∲⫓⋰*⋻6035)))","cot":[{"info":"↔⋰*⋻2712=⋰*⋻-2494","layer":3},{"info":"⋰*⋻1029⨳⩥⨓⋰*⋻2842=⋰*⋻1814","layer":3},{"info":"⋰*⋻-2494⨟⋌⩍⋰*⋻1814=NaN","layer":2},{"info":"⋰*⋻3307⪘⫢⋰*⋻1A28=⋰*⋻6510","layer":3},{"info":"⪲⇎⋰*⋻5259=⋰*⋻A507","layer":3},{"info":"⋰*⋻6510+⇶⊼⋰*⋻A507=NaN","layer":2},{"info":"NaN-NaN=NaN","layer":1},{"info":"⋰*⋻892⨽⋰*⋻3053=⋰*⋻-1A39955","layer":3},{"info":"⋰*⋻1245≫≃=⋰*⋻3543","layer":3},{"info":"⋰*⋻-1A39955∼⋰*⋻3543=NaN","layer":2},{"info":"⋰*⋻3110⨟⋌⩍⋰*⋻116A=NaN","layer":3},{"info":"⋰*⋻12A3∲⫓⋰*⋻6035=⋰*⋻0","layer":3},{"info":"NaN⨸⪁⋰*⋻0=NaN","layer":2},{"info":"NaN⫥∨⫟NaN=NaN","layer":1},{"info":"NaN⪮%⊝NaN=NaN","layer":0}]}
{"id":49,"expression_no_base_symbol":"(∥⊫($3395$⩷∴$1881$⪒($6197$⪐)))-($5048$⊉≛↸$1816$⨵⪆$3053$⋝⋈⪟$1520$)⋝⋈⪟($1289$≧⫂∧$1802$⋳⪒($4844$⪠⩆⊳))","expression":"(∥⊫(⋰*⋻2607⩷∴⋰*⋻1460⪒(⋰*⋻4724⪐)))-(⋰*⋻387A⊉≛↸⋰*⋻1401⨵⪆⋰*⋻2326⋝⋈⪟⋰*⋻1162)⋝⋈⪟(⋰*⋻A72≧⫂∧⋰*⋻1399⋳⪒(⋰*⋻3704⪠⩆⊳))","highest_n_order":1,"priority_hierarchical_complexity":7,"normalized_expansion_degree":38,"operation_count":12,"complexity_ratio":3.1666666666666665,"tree":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3395,"base":11},"right_expr":{"type":"numeric_atoms","value":1881,"base":11}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":6197,"base":11}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":5048,"base":11},"right_expr":{"type":"numeric_atoms","value":1816,"base":11}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3053,"base":11},"right_expr":{"type":"numeric_atoms","value":1520,"base":11}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1289,"base":11},"right_expr":{"type":"numeric_atoms","value":1802,"base":11}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":4844,"base":11}}}}},"used_operators":["rysDP5nf3Z","P8v4zCKN1o","f6k1SAg4EE","9FxExcQeMw","eH2TOUuTDT","2DDjHMKMc0","2DQ55sFlQl","DZ8iAZOCBD","12rbrZMWeM","Ph9nP6C5qx","JLbD19bQDL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻-186","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3395","layer":4},{"info":"number node, value=1881","layer":4},{"info":"compute binary expreesion, left_input=3395, right_input=1881, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2996","layer":3},{"info":"number node, value=6197","layer":4},{"info":"compute unary expreesion, input=6197, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=12394","layer":3},{"info":"compute binary expreesion, left_input=2996, right_input=12394, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-15390","layer":2},{"info":"compute unary expreesion, input=-15390, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=-55","layer":1},{"info":"number node, value=5048","layer":4},{"info":"number node, value=1816","layer":4},{"info":"compute binary expreesion, left_input=5048, right_input=1816, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=10096","layer":3},{"info":"number node, value=3053","layer":4},{"info":"number node, value=1520","layer":4},{"info":"compute binary expreesion, left_input=3053, right_input=1520, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3053","layer":3},{"info":"compute binary expreesion, left_input=10096, right_input=3053, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=1289","layer":4},{"info":"number node, value=1802","layer":4},{"info":"compute binary expreesion, left_input=1289, right_input=1802, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1329","layer":3},{"info":"number node, value=4844","layer":4},{"info":"compute unary expreesion, input=4844, 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=1329, right_input=0, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2371","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=2371, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=-55, right_input=160, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-215","layer":0}],"base":11,"result_base":11,"text":"(∥⊫(⋰*⋻2607⩷∴⋰*⋻1460⪒(⋰*⋻4724⪐)))-(⋰*⋻387A⊉≛↸⋰*⋻1401⨵⪆⋰*⋻2326⋝⋈⪟⋰*⋻1162)⋝⋈⪟(⋰*⋻A72≧⫂∧⋰*⋻1399⋳⪒(⋰*⋻3704⪠⩆⊳))=⋰*⋻-186","reverse_text":"⋰*⋻-186=(∥⊫(⋰*⋻2607⩷∴⋰*⋻1460⪒(⋰*⋻4724⪐)))-(⋰*⋻387A⊉≛↸⋰*⋻1401⨵⪆⋰*⋻2326⋝⋈⪟⋰*⋻1162)⋝⋈⪟(⋰*⋻A72≧⫂∧⋰*⋻1399⋳⪒(⋰*⋻3704⪠⩆⊳))","cot":[{"info":"⋰*⋻2607⩷∴⋰*⋻1460=⋰*⋻2284","layer":3},{"info":"⋰*⋻4724⪐=⋰*⋻9348","layer":3},{"info":"⋰*⋻2284⪒⋰*⋻9348=⋰*⋻-10621","layer":2},{"info":"∥⊫⋰*⋻-10621=⋰*⋻-50","layer":1},{"info":"⋰*⋻387A⊉≛↸⋰*⋻1401=⋰*⋻7649","layer":3},{"info":"⋰*⋻2326⋝⋈⪟⋰*⋻1162=⋰*⋻2326","layer":3},{"info":"⋰*⋻7649⨵⪆⋰*⋻2326=⋰*⋻136","layer":2},{"info":"⋰*⋻A72≧⫂∧⋰*⋻1399=⋰*⋻AA9","layer":3},{"info":"⋰*⋻3704⪠⩆⊳=⋰*⋻0","layer":3},{"info":"⋰*⋻AA9⋳⪒⋰*⋻0=⋰*⋻1866","layer":2},{"info":"⋰*⋻136⋝⋈⪟⋰*⋻1866=⋰*⋻136","layer":1},{"info":"⋰*⋻-50-⋰*⋻136=⋰*⋻-186","layer":0}]}
{"id":50,"expression_no_base_symbol":"⪝⪂⫅(($3482$⨰$6112$↺$3425$∼$2534$)⋓($4939$⊴$6892$⫸⊐(↯⪼$8293$)))","expression":"⪝⪂⫅((⋰*⋻2686⨰⋰*⋻4657↺⋰*⋻2634∼⋰*⋻19A4)⋓(⋰*⋻3790⊴⋰*⋻51A6⫸⊐(↯⪼⋰*⋻625A)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7027,"operation_count":8,"complexity_ratio":878.375,"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":3482,"base":11},"right_expr":{"type":"numeric_atoms","value":6112,"base":11}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3425,"base":11},"right_expr":{"type":"numeric_atoms","value":2534,"base":11}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4939,"base":11},"right_expr":{"type":"numeric_atoms","value":6892,"base":11}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":8293,"base":11}}}}},"used_operators":["XTarYq4gQB","T2fj7uvVaJ","7j4O788W3g","eewbuw0ToL","DyGG3AbaNP","mqXw5SEYmG","Nsiff2A1zJ","8jW3W4yZS5"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","14qkJME0vr","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3482","layer":4},{"info":"number node, value=6112","layer":4},{"info":"compute binary expreesion, left_input=3482, right_input=6112, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2620","layer":3},{"info":"number node, value=3425","layer":4},{"info":"number node, value=2534","layer":4},{"info":"compute binary expreesion, left_input=3425, right_input=2534, 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=-2620, 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=4939","layer":4},{"info":"number node, value=6892","layer":4},{"info":"compute binary expreesion, left_input=4939, right_input=6892, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=8293","layer":4},{"info":"compute unary expreesion, input=8293, 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 = 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 = T2fj7uvVaJ 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 = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⪝⪂⫅((⋰*⋻2686⨰⋰*⋻4657↺⋰*⋻2634∼⋰*⋻19A4)⋓(⋰*⋻3790⊴⋰*⋻51A6⫸⊐(↯⪼⋰*⋻625A)))=NaN","reverse_text":"NaN=⪝⪂⫅((⋰*⋻2686⨰⋰*⋻4657↺⋰*⋻2634∼⋰*⋻19A4)⋓(⋰*⋻3790⊴⋰*⋻51A6⫸⊐(↯⪼⋰*⋻625A)))","cot":[{"info":"⋰*⋻2686⨰⋰*⋻4657=⋰*⋻-1A72","layer":3},{"info":"⋰*⋻2634∼⋰*⋻19A4=NaN","layer":3},{"info":"⋰*⋻-1A72↺NaN=NaN","layer":2},{"info":"⋰*⋻3790⊴⋰*⋻51A6=NaN","layer":3},{"info":"↯⪼⋰*⋻625A=⋰*⋻-1A","layer":3},{"info":"NaN⫸⊐⋰*⋻-1A=NaN","layer":2},{"info":"NaN⋓NaN=NaN","layer":1},{"info":"⪝⪂⫅NaN=NaN","layer":0}]}
{"id":51,"expression_no_base_symbol":"((($5081$⇼⇔∾$9548$)⊠≄⫣)⪨≂$1181$⨐⩸⫘$1133$⨸⪁(≉$1030$))∼(⨑⩽⪐($1810$⊉≛↸$1597$)⨓(⋗⩬⋾$2710$))","expression":"(((⋰*⋻38AA⇼⇔∾⋰*⋻71A0)⊠≄⫣)⪨≂⋰*⋻984⨐⩸⫘⋰*⋻940⨸⪁(≉⋰*⋻857))∼(⨑⩽⪐(⋰*⋻13A6⊉≛↸⋰*⋻1222)⨓(⋗⩬⋾⋰*⋻2044))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":8164,"operation_count":11,"complexity_ratio":742.1818181818181,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":5081,"base":11},"right_expr":{"type":"numeric_atoms","value":9548,"base":11}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1181,"base":11},"right_expr":{"type":"numeric_atoms","value":1133,"base":11}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1030,"base":11}}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1810,"base":11},"right_expr":{"type":"numeric_atoms","value":1597,"base":11}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":2710,"base":11}}}}},"used_operators":["DyGG3AbaNP","sdazOOVcIp","DIvbN7qnHd","tifHPKVTfV","g55IO6H4Gj","fu6greOZ01","e1ybzncUwg","AF7qkfDlqP","3ViojmjbAp","DZ8iAZOCBD","DpFCA1CohY"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5081","layer":4},{"info":"number node, value=9548","layer":4},{"info":"compute binary expreesion, left_input=5081, right_input=9548, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=4467","layer":3},{"info":"compute unary expreesion, input=4467, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"number node, value=1181","layer":4},{"info":"number node, value=1133","layer":4},{"info":"compute binary expreesion, left_input=1181, right_input=1133, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=1030","layer":4},{"info":"compute unary expreesion, input=1030, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1561","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1561, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"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":1},{"info":"number node, value=1810","layer":4},{"info":"number node, value=1597","layer":4},{"info":"compute binary expreesion, left_input=1810, right_input=1597, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3620","layer":3},{"info":"number node, value=2710","layer":4},{"info":"compute unary expreesion, input=2710, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-8130","layer":3},{"info":"compute binary expreesion, left_input=3620, right_input=-8130, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=8127","layer":2},{"info":"compute unary expreesion, input=8127, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-7854","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-7854, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻38AA⇼⇔∾⋰*⋻71A0)⊠≄⫣)⪨≂⋰*⋻984⨐⩸⫘⋰*⋻940⨸⪁(≉⋰*⋻857))∼(⨑⩽⪐(⋰*⋻13A6⊉≛↸⋰*⋻1222)⨓(⋗⩬⋾⋰*⋻2044))=NaN","reverse_text":"NaN=(((⋰*⋻38AA⇼⇔∾⋰*⋻71A0)⊠≄⫣)⪨≂⋰*⋻984⨐⩸⫘⋰*⋻940⨸⪁(≉⋰*⋻857))∼(⨑⩽⪐(⋰*⋻13A6⊉≛↸⋰*⋻1222)⨓(⋗⩬⋾⋰*⋻2044))","cot":[{"info":"⋰*⋻38AA⇼⇔∾⋰*⋻71A0=⋰*⋻33A1","layer":3},{"info":"⋰*⋻33A1⊠≄⫣=⋰*⋻0","layer":2},{"info":"⋰*⋻984⨐⩸⫘⋰*⋻940=NaN","layer":3},{"info":"≉⋰*⋻857=⋰*⋻119A","layer":3},{"info":"NaN⨸⪁⋰*⋻119A=NaN","layer":2},{"info":"⋰*⋻0⪨≂NaN=NaN","layer":1},{"info":"⋰*⋻13A6⊉≛↸⋰*⋻1222=⋰*⋻27A1","layer":3},{"info":"⋗⩬⋾⋰*⋻2044=⋰*⋻-6121","layer":3},{"info":"⋰*⋻27A1⨓⋰*⋻-6121=⋰*⋻6119","layer":2},{"info":"⨑⩽⪐⋰*⋻6119=⋰*⋻-59A0","layer":1},{"info":"NaN∼⋰*⋻-59A0=NaN","layer":0}]}
{"id":52,"expression_no_base_symbol":"((⋗⩬⋾$2370$)⫥∨⫟$2587$⪛$1444$∲⫓(($3144$⫩⊇)≦≮≮))≹⇙⪍(($3620$⩨$2317$⇼⇔∾$6088$⨟⋌⩍$3279$)⨐⩸⫘($1400$/$1196$)⋓($2832$⇋≉))","expression":"((⋗⩬⋾⋰*⋻1865)⫥∨⫟⋰*⋻1A42⪛⋰*⋻10A3∲⫓((⋰*⋻23A9⫩⊇)≦≮≮))≹⇙⪍((⋰*⋻27A1⩨⋰*⋻1817⇼⇔∾⋰*⋻4635⨟⋌⩍⋰*⋻2511)⨐⩸⫘(⋰*⋻1063/⋰*⋻998)⋓(⋰*⋻2145⇋≉))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":194,"operation_count":14,"complexity_ratio":13.857142857142858,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":2370,"base":11}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2587,"base":11},"right_expr":{"type":"numeric_atoms","value":1444,"base":11}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":3144,"base":11}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3620,"base":11},"right_expr":{"type":"numeric_atoms","value":2317,"base":11}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":6088,"base":11},"right_expr":{"type":"numeric_atoms","value":3279,"base":11}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1400,"base":11},"right_expr":{"type":"numeric_atoms","value":1196,"base":11}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":2832,"base":11}}}}},"used_operators":["AHs5Up7iyr","i8ToyICDmI","KYD54nUTWz","DpFCA1CohY","uFcxV4UQCh","D4vGDi5EA2","BjRHVeLaeN","fu6greOZ01","tifHPKVTfV","2DlMacCsIx","rGHVDoGpnC","T2fj7uvVaJ","XhwjNDsVaA","XIabStNQrY"],"dependent_operators":["dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","Tcnh7f0tEr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2370","layer":4},{"info":"compute unary expreesion, input=2370, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-7110","layer":3},{"info":"number node, value=2587","layer":4},{"info":"number node, value=1444","layer":4},{"info":"compute binary expreesion, left_input=2587, right_input=1444, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1143","layer":3},{"info":"compute binary expreesion, left_input=-7110, right_input=1143, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=3144","layer":4},{"info":"compute unary expreesion, input=3144, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-3102","layer":3},{"info":"compute unary expreesion, input=-3102, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=9306","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=9306, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=3620","layer":4},{"info":"number node, value=2317","layer":4},{"info":"compute binary expreesion, left_input=3620, right_input=2317, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=6088","layer":4},{"info":"number node, value=3279","layer":4},{"info":"compute binary expreesion, left_input=6088, right_input=3279, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"number node, value=1400","layer":4},{"info":"number node, value=1196","layer":4},{"info":"compute binary expreesion, left_input=1400, right_input=1196, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"number node, value=2832","layer":4},{"info":"compute unary expreesion, input=2832, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=5566","layer":3},{"info":"compute binary expreesion, left_input=1, right_input=5566, op_id = T2fj7uvVaJ binary_op_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 = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋗⩬⋾⋰*⋻1865)⫥∨⫟⋰*⋻1A42⪛⋰*⋻10A3∲⫓((⋰*⋻23A9⫩⊇)≦≮≮))≹⇙⪍((⋰*⋻27A1⩨⋰*⋻1817⇼⇔∾⋰*⋻4635⨟⋌⩍⋰*⋻2511)⨐⩸⫘(⋰*⋻1063/⋰*⋻998)⋓(⋰*⋻2145⇋≉))=NaN","reverse_text":"NaN=((⋗⩬⋾⋰*⋻1865)⫥∨⫟⋰*⋻1A42⪛⋰*⋻10A3∲⫓((⋰*⋻23A9⫩⊇)≦≮≮))≹⇙⪍((⋰*⋻27A1⩨⋰*⋻1817⇼⇔∾⋰*⋻4635⨟⋌⩍⋰*⋻2511)⨐⩸⫘(⋰*⋻1063/⋰*⋻998)⋓(⋰*⋻2145⇋≉))","cot":[{"info":"⋗⩬⋾⋰*⋻1865=⋰*⋻-5384","layer":3},{"info":"⋰*⋻1A42⪛⋰*⋻10A3=⋰*⋻94A","layer":3},{"info":"⋰*⋻-5384⫥∨⫟⋰*⋻94A=NaN","layer":2},{"info":"⋰*⋻23A9⫩⊇=⋰*⋻-2370","layer":3},{"info":"⋰*⋻-2370≦≮≮=⋰*⋻6AA0","layer":2},{"info":"NaN∲⫓⋰*⋻6AA0=⋰*⋻0","layer":1},{"info":"⋰*⋻27A1⩨⋰*⋻1817=⋰*⋻0","layer":3},{"info":"⋰*⋻4635⨟⋌⩍⋰*⋻2511=NaN","layer":3},{"info":"⋰*⋻0⇼⇔∾NaN=NaN","layer":2},{"info":"⋰*⋻1063/⋰*⋻998=⋰*⋻1","layer":3},{"info":"⋰*⋻2145⇋≉=⋰*⋻4200","layer":3},{"info":"⋰*⋻1⋓⋰*⋻4200=⋰*⋻0","layer":2},{"info":"NaN⨐⩸⫘⋰*⋻0=NaN","layer":1},{"info":"⋰*⋻0≹⇙⪍NaN=NaN","layer":0}]}
{"id":53,"expression_no_base_symbol":"(⫓⪴(⩦⩻⨪$2376$))⊭↱$2964$+⇶⊼$2121$↙$1109$⨐⩸⫘$1817$+($7687$∼$2958$⩚⊴⇥(↔$1047$))⨰($8427$⊭↱$4425$↛⩡⫤)","expression":"(⫓⪴(⩦⩻⨪⋰*⋻1870))⊭↱⋰*⋻2255+⇶⊼⋰*⋻1659↙⋰*⋻919⨐⩸⫘⋰*⋻1402+(⋰*⋻5859∼⋰*⋻224A⩚⊴⇥(↔⋰*⋻872))⨰(⋰*⋻6371⊭↱⋰*⋻3363↛⩡⫤)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":26675,"operation_count":13,"complexity_ratio":2051.923076923077,"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":2376,"base":11}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2964,"base":11},"right_expr":{"type":"numeric_atoms","value":2121,"base":11}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1109,"base":11},"right_expr":{"type":"numeric_atoms","value":1817,"base":11}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":7687,"base":11},"right_expr":{"type":"numeric_atoms","value":2958,"base":11}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1047,"base":11}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":8427,"base":11},"right_expr":{"type":"numeric_atoms","value":4425,"base":11}}}}},"used_operators":["W4YGzv6Whe","COABgblf1C","eLxqMNBOBk","2td37pGCOC","yyfyN0ffXY","TpPTUOHfaN","fu6greOZ01","eewbuw0ToL","NTOWxs364D","DyGG3AbaNP","ruOEQAzv1W","FU0Cs4j7VP"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","AHs5Up7iyr","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2376","layer":4},{"info":"compute unary expreesion, input=2376, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2376","layer":3},{"info":"compute unary expreesion, input=2376, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=5645376","layer":2},{"info":"number node, value=2964","layer":4},{"info":"number node, value=2121","layer":4},{"info":"compute binary expreesion, left_input=2964, right_input=2121, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=1109","layer":4},{"info":"number node, value=1817","layer":4},{"info":"compute binary expreesion, left_input=1109, right_input=1817, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=5645376, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"number node, value=7687","layer":4},{"info":"number node, value=2958","layer":4},{"info":"compute binary expreesion, left_input=7687, right_input=2958, 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=1047","layer":4},{"info":"compute unary expreesion, input=1047, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-774","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-774, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"number node, value=8427","layer":4},{"info":"number node, value=4425","layer":4},{"info":"compute binary expreesion, left_input=8427, right_input=4425, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-7999","layer":3},{"info":"compute unary expreesion, input=-7999, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-1139946","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1139946, 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 = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⫓⪴(⩦⩻⨪⋰*⋻1870))⊭↱⋰*⋻2255+⇶⊼⋰*⋻1659↙⋰*⋻919⨐⩸⫘⋰*⋻1402+(⋰*⋻5859∼⋰*⋻224A⩚⊴⇥(↔⋰*⋻872))⨰(⋰*⋻6371⊭↱⋰*⋻3363↛⩡⫤)=NaN","reverse_text":"NaN=(⫓⪴(⩦⩻⨪⋰*⋻1870))⊭↱⋰*⋻2255+⇶⊼⋰*⋻1659↙⋰*⋻919⨐⩸⫘⋰*⋻1402+(⋰*⋻5859∼⋰*⋻224A⩚⊴⇥(↔⋰*⋻872))⨰(⋰*⋻6371⊭↱⋰*⋻3363↛⩡⫤)","cot":[{"info":"⩦⩻⨪⋰*⋻1870=⋰*⋻1870","layer":3},{"info":"⫓⪴⋰*⋻1870=⋰*⋻3206500","layer":2},{"info":"⋰*⋻2255+⇶⊼⋰*⋻1659=NaN","layer":3},{"info":"⋰*⋻919⨐⩸⫘⋰*⋻1402=NaN","layer":3},{"info":"NaN↙NaN=NaN","layer":2},{"info":"⋰*⋻3206500⊭↱NaN=NaN","layer":1},{"info":"⋰*⋻5859∼⋰*⋻224A=NaN","layer":3},{"info":"↔⋰*⋻872=⋰*⋻-644","layer":3},{"info":"NaN⩚⊴⇥⋰*⋻-644=NaN","layer":2},{"info":"⋰*⋻6371⊭↱⋰*⋻3363=⋰*⋻-6012","layer":3},{"info":"⋰*⋻-6012↛⩡⫤=⋰*⋻-709505","layer":2},{"info":"NaN⨰⋰*⋻-709505=NaN","layer":1},{"info":"NaN+NaN=NaN","layer":0}]}
{"id":54,"expression_no_base_symbol":"($1251$⫡⨏$4393$)⨓($1495$+⇶⊼$3485$)⩷∴((⫓⪴$2657$)≫≃)+($5682$⫥∨⫟$1699$⋷$1420$⩷∴$2262$)≹⇙⪍(($1887$*$1514$)⩚⊴⇥($5227$%$3515$))","expression":"(⋰*⋻A38⫡⨏⋰*⋻3334)⨓(⋰*⋻113A+⇶⊼⋰*⋻2689)⩷∴((⫓⪴⋰*⋻1AA6)≫≃)+(⋰*⋻42A6⫥∨⫟⋰*⋻1305⋷⋰*⋻1081⩷∴⋰*⋻1777)≹⇙⪍((⋰*⋻1466*⋰*⋻1157)⩚⊴⇥(⋰*⋻3A22%⋰*⋻2706))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4367,"operation_count":14,"complexity_ratio":311.92857142857144,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1251,"base":11},"right_expr":{"type":"numeric_atoms","value":4393,"base":11}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1495,"base":11},"right_expr":{"type":"numeric_atoms","value":3485,"base":11}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2657,"base":11}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5682,"base":11},"right_expr":{"type":"numeric_atoms","value":1699,"base":11}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1420,"base":11},"right_expr":{"type":"numeric_atoms","value":2262,"base":11}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1887,"base":11},"right_expr":{"type":"numeric_atoms","value":1514,"base":11}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":5227,"base":11},"right_expr":{"type":"numeric_atoms","value":3515,"base":11}}}}},"used_operators":["W4YGzv6Whe","9FxExcQeMw","3ViojmjbAp","QMFrweE19q","TpPTUOHfaN","X99M06cbEe","eLxqMNBOBk","AHs5Up7iyr","23Mk6UjR3U","KYD54nUTWz","NTOWxs364D","9HNa5Wba9A","k8jYdgA6NY"],"dependent_operators":["rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","9HNa5Wba9A","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1251","layer":4},{"info":"number node, value=4393","layer":4},{"info":"compute binary expreesion, left_input=1251, right_input=4393, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=15824","layer":3},{"info":"number node, value=1495","layer":4},{"info":"number node, value=3485","layer":4},{"info":"compute binary expreesion, left_input=1495, right_input=3485, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=15824, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"number node, value=2657","layer":4},{"info":"compute unary expreesion, input=2657, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=7059649","layer":3},{"info":"compute unary expreesion, input=7059649, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=14120699","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=14120699, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"number node, value=5682","layer":4},{"info":"number node, value=1699","layer":4},{"info":"compute binary expreesion, left_input=5682, right_input=1699, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1420","layer":4},{"info":"number node, value=2262","layer":4},{"info":"compute binary expreesion, left_input=1420, right_input=2262, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-1716","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1716, 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=1887","layer":4},{"info":"number node, value=1514","layer":4},{"info":"compute binary expreesion, left_input=1887, right_input=1514, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2856918","layer":3},{"info":"number node, value=5227","layer":4},{"info":"number node, value=3515","layer":4},{"info":"compute binary expreesion, left_input=5227, right_input=3515, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1712","layer":3},{"info":"compute binary expreesion, left_input=2856918, right_input=1712, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2858751","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2858751, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻A38⫡⨏⋰*⋻3334)⨓(⋰*⋻113A+⇶⊼⋰*⋻2689)⩷∴((⫓⪴⋰*⋻1AA6)≫≃)+(⋰*⋻42A6⫥∨⫟⋰*⋻1305⋷⋰*⋻1081⩷∴⋰*⋻1777)≹⇙⪍((⋰*⋻1466*⋰*⋻1157)⩚⊴⇥(⋰*⋻3A22%⋰*⋻2706))=NaN","reverse_text":"NaN=(⋰*⋻A38⫡⨏⋰*⋻3334)⨓(⋰*⋻113A+⇶⊼⋰*⋻2689)⩷∴((⫓⪴⋰*⋻1AA6)≫≃)+(⋰*⋻42A6⫥∨⫟⋰*⋻1305⋷⋰*⋻1081⩷∴⋰*⋻1777)≹⇙⪍((⋰*⋻1466*⋰*⋻1157)⩚⊴⇥(⋰*⋻3A22%⋰*⋻2706))","cot":[{"info":"⋰*⋻A38⫡⨏⋰*⋻3334=⋰*⋻10986","layer":3},{"info":"⋰*⋻113A+⇶⊼⋰*⋻2689=NaN","layer":3},{"info":"⋰*⋻10986⨓NaN=NaN","layer":2},{"info":"⫓⪴⋰*⋻1AA6=⋰*⋻3A92023","layer":3},{"info":"⋰*⋻3A92023≫≃=⋰*⋻7A750AA","layer":2},{"info":"NaN⩷∴⋰*⋻7A750AA=NaN","layer":1},{"info":"⋰*⋻42A6⫥∨⫟⋰*⋻1305=NaN","layer":3},{"info":"⋰*⋻1081⩷∴⋰*⋻1777=⋰*⋻-1320","layer":3},{"info":"NaN⋷⋰*⋻-1320=NaN","layer":2},{"info":"⋰*⋻1466*⋰*⋻1157=⋰*⋻1681499","layer":3},{"info":"⋰*⋻3A22%⋰*⋻2706=⋰*⋻1317","layer":3},{"info":"⋰*⋻1681499⩚⊴⇥⋰*⋻1317=⋰*⋻-1682905","layer":2},{"info":"NaN≹⇙⪍⋰*⋻-1682905=NaN","layer":1},{"info":"NaN+NaN=NaN","layer":0}]}
{"id":55,"expression_no_base_symbol":"(↽≂(⪝⪂⫅$1089$))∲⫓(∂$2083$)⫸⊐$7445$⪛$8082$+($1817$*$2984$-$3873$⪄$2134$)∑⇟⊟(($1056$⨳⩥⨓$1332$)+⇶⊼($1306$⨎$1506$))","expression":"(↽≂(⪝⪂⫅⋰*⋻900))∲⫓(∂⋰*⋻1624)⫸⊐⋰*⋻5659⪛⋰*⋻6088+(⋰*⋻1402*⋰*⋻2273-⋰*⋻2A01⪄⋰*⋻1670)∑⇟⊟((⋰*⋻880⨳⩥⨓⋰*⋻1001)+⇶⊼(⋰*⋻A88⨎⋰*⋻114A))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2084,"operation_count":14,"complexity_ratio":148.85714285714286,"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":1089,"base":11}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2083,"base":11}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":7445,"base":11},"right_expr":{"type":"numeric_atoms","value":8082,"base":11}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1817,"base":11},"right_expr":{"type":"numeric_atoms","value":2984,"base":11}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3873,"base":11},"right_expr":{"type":"numeric_atoms","value":2134,"base":11}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1056,"base":11},"right_expr":{"type":"numeric_atoms","value":1332,"base":11}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1306,"base":11},"right_expr":{"type":"numeric_atoms","value":1506,"base":11}}}}},"used_operators":["W4YGzv6Whe","i8ToyICDmI","u6S6b8DprG","XTarYq4gQB","mqXw5SEYmG","Uaa54Peajs","uFcxV4UQCh","U7g4x0WXJJ","rysDP5nf3Z","9HNa5Wba9A","SUmda5xLS4","TpPTUOHfaN","nCS4ZIUYfx","rJVOvQCfKK"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1089","layer":4},{"info":"compute unary expreesion, input=1089, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-160083","layer":3},{"info":"compute unary expreesion, input=-160083, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=320166","layer":2},{"info":"number node, value=2083","layer":4},{"info":"compute unary expreesion, input=2083, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"number node, value=7445","layer":4},{"info":"number node, value=8082","layer":4},{"info":"compute binary expreesion, left_input=7445, right_input=8082, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=7445","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7445, 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=320166, 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=1817","layer":4},{"info":"number node, value=2984","layer":4},{"info":"compute binary expreesion, left_input=1817, right_input=2984, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=5421928","layer":3},{"info":"number node, value=3873","layer":4},{"info":"number node, value=2134","layer":4},{"info":"compute binary expreesion, left_input=3873, right_input=2134, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-577829","layer":3},{"info":"compute binary expreesion, left_input=5421928, right_input=-577829, op_id = rysDP5nf3Z binary_op_definition= 'None', output=5999757","layer":2},{"info":"number node, value=1056","layer":4},{"info":"number node, value=1332","layer":4},{"info":"compute binary expreesion, left_input=1056, right_input=1332, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=276","layer":3},{"info":"number node, value=1306","layer":4},{"info":"number node, value=1506","layer":4},{"info":"compute binary expreesion, left_input=1306, right_input=1506, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1506","layer":3},{"info":"compute binary expreesion, left_input=276, right_input=1506, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=5999757, 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 = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"(↽≂(⪝⪂⫅⋰*⋻900))∲⫓(∂⋰*⋻1624)⫸⊐⋰*⋻5659⪛⋰*⋻6088+(⋰*⋻1402*⋰*⋻2273-⋰*⋻2A01⪄⋰*⋻1670)∑⇟⊟((⋰*⋻880⨳⩥⨓⋰*⋻1001)+⇶⊼(⋰*⋻A88⨎⋰*⋻114A))=NaN","reverse_text":"NaN=(↽≂(⪝⪂⫅⋰*⋻900))∲⫓(∂⋰*⋻1624)⫸⊐⋰*⋻5659⪛⋰*⋻6088+(⋰*⋻1402*⋰*⋻2273-⋰*⋻2A01⪄⋰*⋻1670)∑⇟⊟((⋰*⋻880⨳⩥⨓⋰*⋻1001)+⇶⊼(⋰*⋻A88⨎⋰*⋻114A))","cot":[{"info":"⪝⪂⫅⋰*⋻900=⋰*⋻-AA300","layer":3},{"info":"↽≂⋰*⋻-AA300=⋰*⋻1A9600","layer":2},{"info":"∂⋰*⋻1624=NaN","layer":3},{"info":"⋰*⋻5659⪛⋰*⋻6088=⋰*⋻5659","layer":3},{"info":"NaN⫸⊐⋰*⋻5659=NaN","layer":2},{"info":"⋰*⋻1A9600∲⫓NaN=NaN","layer":1},{"info":"⋰*⋻1402*⋰*⋻2273=⋰*⋻3073636","layer":3},{"info":"⋰*⋻2A01⪄⋰*⋻1670=⋰*⋻-36514A","layer":3},{"info":"⋰*⋻3073636-⋰*⋻-36514A=⋰*⋻3428785","layer":2},{"info":"⋰*⋻880⨳⩥⨓⋰*⋻1001=⋰*⋻231","layer":3},{"info":"⋰*⋻A88⨎⋰*⋻114A=⋰*⋻114A","layer":3},{"info":"⋰*⋻231+⇶⊼⋰*⋻114A=NaN","layer":2},{"info":"⋰*⋻3428785∑⇟⊟NaN=NaN","layer":1},{"info":"NaN+NaN=NaN","layer":0}]}
{"id":56,"expression_no_base_symbol":"(↥($2302$⩤)⋳⪒(⊄⩳↩$1288$))↬(($1009$⨪↰⇹$4646$⪠⩆⊳)∑⇟⊟($3490$∼$2611$+$1139$⨎$3353$))","expression":"(↥(⋰*⋻1803⩤)⋳⪒(⊄⩳↩⋰*⋻A71))↬((⋰*⋻838⨪↰⇹⋰*⋻3544⪠⩆⊳)∑⇟⊟(⋰*⋻2693∼⋰*⋻1A64+⋰*⋻946⨎⋰*⋻2579))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1163,"operation_count":11,"complexity_ratio":105.72727272727273,"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":2302,"base":11}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1288,"base":11}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1009,"base":11},"right_expr":{"type":"numeric_atoms","value":4646,"base":11}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3490,"base":11},"right_expr":{"type":"numeric_atoms","value":2611,"base":11}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1139,"base":11},"right_expr":{"type":"numeric_atoms","value":3353,"base":11}}}}},"used_operators":["B5M0gjZbta","A8NUZmVepG","12rbrZMWeM","Z2TMIBDE3Q","8w2t5hMYqp","U7g4x0WXJJ","JLbD19bQDL","tmPS8pqC7x","W4YGzv6Whe","DyGG3AbaNP","rJVOvQCfKK"],"dependent_operators":["rGHVDoGpnC","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2302","layer":4},{"info":"compute unary expreesion, input=2302, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2302","layer":3},{"info":"number node, value=1288","layer":4},{"info":"compute unary expreesion, input=1288, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3864","layer":3},{"info":"compute binary expreesion, left_input=-2302, right_input=-3864, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-1027","layer":2},{"info":"compute unary expreesion, input=-1027, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=44","layer":1},{"info":"number node, value=1009","layer":4},{"info":"number node, value=4646","layer":4},{"info":"compute binary expreesion, left_input=1009, right_input=4646, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1009","layer":3},{"info":"compute unary expreesion, input=1009, 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=3490","layer":4},{"info":"number node, value=2611","layer":4},{"info":"compute binary expreesion, left_input=3490, right_input=2611, 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=1139","layer":4},{"info":"number node, value=3353","layer":4},{"info":"compute binary expreesion, left_input=1139, right_input=3353, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3353","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3353, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=44, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"(↥(⋰*⋻1803⩤)⋳⪒(⊄⩳↩⋰*⋻A71))↬((⋰*⋻838⨪↰⇹⋰*⋻3544⪠⩆⊳)∑⇟⊟(⋰*⋻2693∼⋰*⋻1A64+⋰*⋻946⨎⋰*⋻2579))=NaN","reverse_text":"NaN=(↥(⋰*⋻1803⩤)⋳⪒(⊄⩳↩⋰*⋻A71))↬((⋰*⋻838⨪↰⇹⋰*⋻3544⪠⩆⊳)∑⇟⊟(⋰*⋻2693∼⋰*⋻1A64+⋰*⋻946⨎⋰*⋻2579))","cot":[{"info":"⋰*⋻1803⩤=⋰*⋻-1803","layer":3},{"info":"⊄⩳↩⋰*⋻A71=⋰*⋻-29A3","layer":3},{"info":"⋰*⋻-1803⋳⪒⋰*⋻-29A3=⋰*⋻-854","layer":2},{"info":"↥⋰*⋻-854=⋰*⋻40","layer":1},{"info":"⋰*⋻838⨪↰⇹⋰*⋻3544=⋰*⋻838","layer":3},{"info":"⋰*⋻838⪠⩆⊳=⋰*⋻0","layer":2},{"info":"⋰*⋻2693∼⋰*⋻1A64=NaN","layer":3},{"info":"⋰*⋻946⨎⋰*⋻2579=⋰*⋻2579","layer":3},{"info":"NaN+⋰*⋻2579=NaN","layer":2},{"info":"⋰*⋻0∑⇟⊟NaN=NaN","layer":1},{"info":"⋰*⋻40↬NaN=NaN","layer":0}]}
{"id":57,"expression_no_base_symbol":"(($5486$/$1474$⨵⪆($1357$∧))⪐)⪢((($1072$-$1335$)⋳⪒(⊙↵-$2933$))∼(+⊝⨔$2424$)⪮%⊝($3801$≧⫂∧$1756$))","expression":"((⋰*⋻4138/⋰*⋻1120⨵⪆(⋰*⋻1024∧))⪐)⪢(((⋰*⋻895-⋰*⋻1004)⋳⪒(⊙↵-⋰*⋻2227))∼(+⊝⨔⋰*⋻1904)⪮%⊝(⋰*⋻2946≧⫂∧⋰*⋻1357))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3067,"operation_count":12,"complexity_ratio":255.58333333333334,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":5486,"base":11},"right_expr":{"type":"numeric_atoms","value":1474,"base":11}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1357,"base":11}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1072,"base":11},"right_expr":{"type":"numeric_atoms","value":1335,"base":11}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2933,"base":11}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2424,"base":11}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3801,"base":11},"right_expr":{"type":"numeric_atoms","value":1756,"base":11}}}}},"used_operators":["dWAJyo7jo9","eH2TOUuTDT","2DQ55sFlQl","XhwjNDsVaA","z63VuFQld9","DyGG3AbaNP","12rbrZMWeM","rysDP5nf3Z","oWn0xqSxBt","IWmyXbctLI","DhbWaqg5eL","Ph9nP6C5qx"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=5486","layer":4},{"info":"number node, value=1474","layer":4},{"info":"compute binary expreesion, left_input=5486, right_input=1474, op_id = XhwjNDsVaA binary_op_definition= 'None', output=3","layer":3},{"info":"number node, value=1357","layer":4},{"info":"compute unary expreesion, input=1357, 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=3, right_input=nan, 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 = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=320","layer":1},{"info":"number node, value=1072","layer":4},{"info":"number node, value=1335","layer":4},{"info":"compute binary expreesion, left_input=1072, right_input=1335, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-263","layer":3},{"info":"number node, value=2933","layer":4},{"info":"compute unary expreesion, input=2933, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=-263, right_input=-1, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-812","layer":2},{"info":"number node, value=2424","layer":4},{"info":"compute unary expreesion, input=2424, 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=3801","layer":4},{"info":"number node, value=1756","layer":4},{"info":"compute binary expreesion, left_input=3801, right_input=1756, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1283","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=1283, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3360","layer":2},{"info":"compute binary expreesion, left_input=-812, right_input=3360, 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=320, 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":11,"result_base":11,"text":"((⋰*⋻4138/⋰*⋻1120⨵⪆(⋰*⋻1024∧))⪐)⪢(((⋰*⋻895-⋰*⋻1004)⋳⪒(⊙↵-⋰*⋻2227))∼(+⊝⨔⋰*⋻1904)⪮%⊝(⋰*⋻2946≧⫂∧⋰*⋻1357))=NaN","reverse_text":"NaN=((⋰*⋻4138/⋰*⋻1120⨵⪆(⋰*⋻1024∧))⪐)⪢(((⋰*⋻895-⋰*⋻1004)⋳⪒(⊙↵-⋰*⋻2227))∼(+⊝⨔⋰*⋻1904)⪮%⊝(⋰*⋻2946≧⫂∧⋰*⋻1357))","cot":[{"info":"⋰*⋻4138/⋰*⋻1120=⋰*⋻3","layer":3},{"info":"⋰*⋻1024∧=NaN","layer":3},{"info":"⋰*⋻3⨵⪆NaN=⋰*⋻136","layer":2},{"info":"⋰*⋻136⪐=⋰*⋻271","layer":1},{"info":"⋰*⋻895-⋰*⋻1004=⋰*⋻-21A","layer":3},{"info":"⊙↵-⋰*⋻2227=⋰*⋻-1","layer":3},{"info":"⋰*⋻-21A⋳⪒⋰*⋻-1=⋰*⋻-679","layer":2},{"info":"+⊝⨔⋰*⋻1904=⋰*⋻1164","layer":3},{"info":"⋰*⋻2946≧⫂∧⋰*⋻1357=⋰*⋻A67","layer":3},{"info":"⋰*⋻1164⪮%⊝⋰*⋻A67=⋰*⋻2585","layer":2},{"info":"⋰*⋻-679∼⋰*⋻2585=NaN","layer":1},{"info":"⋰*⋻271⪢NaN=NaN","layer":0}]}
{"id":58,"expression_no_base_symbol":"($7782$⪢$1955$∸)⊭↱($1473$⫸⊐$3730$)⩷∴$1169$⊴$1346$+(⋗⩬⋾$6084$)∑⇟⊟$5299$⪛$3535$⩷∴((⊙↵-$1650$)⪄($6661$⊭↱$1887$))","expression":"(⋰*⋻5935⪢⋰*⋻1518∸)⊭↱(⋰*⋻111A⫸⊐⋰*⋻2891)⩷∴⋰*⋻973⊴⋰*⋻1014+(⋗⩬⋾⋰*⋻4631)∑⇟⊟⋰*⋻3A88⪛⋰*⋻2724⩷∴((⊙↵-⋰*⋻1270)⪄(⋰*⋻5006⊭↱⋰*⋻1466))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7533,"operation_count":14,"complexity_ratio":538.0714285714286,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":7782,"base":11},"right_expr":{"type":"numeric_atoms","value":1955,"base":11}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1473,"base":11},"right_expr":{"type":"numeric_atoms","value":3730,"base":11}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1169,"base":11},"right_expr":{"type":"numeric_atoms","value":1346,"base":11}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":6084,"base":11}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":5299,"base":11},"right_expr":{"type":"numeric_atoms","value":3535,"base":11}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1650,"base":11}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":6661,"base":11},"right_expr":{"type":"numeric_atoms","value":1887,"base":11}}}}},"used_operators":["W4YGzv6Whe","COABgblf1C","o20kRiQErp","dWAJyo7jo9","9FxExcQeMw","mqXw5SEYmG","Nsiff2A1zJ","U7g4x0WXJJ","DpFCA1CohY","uFcxV4UQCh","SUmda5xLS4","oWn0xqSxBt"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","k8jYdgA6NY","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","14qkJME0vr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7782","layer":4},{"info":"number node, value=1955","layer":4},{"info":"compute binary expreesion, left_input=7782, right_input=1955, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"number node, value=1473","layer":4},{"info":"number node, value=3730","layer":4},{"info":"compute binary expreesion, left_input=1473, right_input=3730, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=14795","layer":3},{"info":"number node, value=1169","layer":4},{"info":"number node, value=1346","layer":4},{"info":"compute binary expreesion, left_input=1169, right_input=1346, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=14795, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=177, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"number node, value=6084","layer":4},{"info":"compute unary expreesion, input=6084, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-18252","layer":3},{"info":"number node, value=5299","layer":4},{"info":"number node, value=3535","layer":4},{"info":"compute binary expreesion, left_input=5299, right_input=3535, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1764","layer":3},{"info":"compute binary expreesion, left_input=-18252, right_input=1764, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=1650","layer":4},{"info":"compute unary expreesion, input=1650, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=6661","layer":4},{"info":"number node, value=1887","layer":4},{"info":"compute binary expreesion, left_input=6661, right_input=1887, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-9543","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=-9543, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=42231","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=42231, 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 = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻5935⪢⋰*⋻1518∸)⊭↱(⋰*⋻111A⫸⊐⋰*⋻2891)⩷∴⋰*⋻973⊴⋰*⋻1014+(⋗⩬⋾⋰*⋻4631)∑⇟⊟⋰*⋻3A88⪛⋰*⋻2724⩷∴((⊙↵-⋰*⋻1270)⪄(⋰*⋻5006⊭↱⋰*⋻1466))=NaN","reverse_text":"NaN=(⋰*⋻5935⪢⋰*⋻1518∸)⊭↱(⋰*⋻111A⫸⊐⋰*⋻2891)⩷∴⋰*⋻973⊴⋰*⋻1014+(⋗⩬⋾⋰*⋻4631)∑⇟⊟⋰*⋻3A88⪛⋰*⋻2724⩷∴((⊙↵-⋰*⋻1270)⪄(⋰*⋻5006⊭↱⋰*⋻1466))","cot":[{"info":"⋰*⋻5935⪢⋰*⋻1518=NaN","layer":3},{"info":"NaN∸=⋰*⋻151","layer":2},{"info":"⋰*⋻111A⫸⊐⋰*⋻2891=⋰*⋻10130","layer":3},{"info":"⋰*⋻973⊴⋰*⋻1014=NaN","layer":3},{"info":"⋰*⋻10130⩷∴NaN=NaN","layer":2},{"info":"⋰*⋻151⊭↱NaN=NaN","layer":1},{"info":"⋗⩬⋾⋰*⋻4631=⋰*⋻-12793","layer":3},{"info":"⋰*⋻3A88⪛⋰*⋻2724=⋰*⋻1364","layer":3},{"info":"⋰*⋻-12793∑⇟⊟⋰*⋻1364=NaN","layer":2},{"info":"⊙↵-⋰*⋻1270=⋰*⋻-1","layer":3},{"info":"⋰*⋻5006⊭↱⋰*⋻1466=⋰*⋻-7196","layer":3},{"info":"⋰*⋻-1⪄⋰*⋻-7196=⋰*⋻29802","layer":2},{"info":"NaN⩷∴⋰*⋻29802=NaN","layer":1},{"info":"NaN+NaN=NaN","layer":0}]}
{"id":59,"expression_no_base_symbol":"(⨵≀≌$4373$⩷∴$5712$)⩷∴(↣≠⋷($2054$↪⪝))⋓((↥$2359$)+$4908$≹⇙⪍$2752$)⪛((⨈⫕$1730$)-$5146$⪮%⊝$2726$)","expression":"(⨵≀≌⋰*⋻3316⩷∴⋰*⋻4323)⩷∴(↣≠⋷(⋰*⋻15A8↪⪝))⋓((↥⋰*⋻1855)+⋰*⋻3762≹⇙⪍⋰*⋻2082)⪛((⨈⫕⋰*⋻1333)-⋰*⋻3959⪮%⊝⋰*⋻2059)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3891,"operation_count":13,"complexity_ratio":299.3076923076923,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4373,"base":11},"right_expr":{"type":"numeric_atoms","value":5712,"base":11}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":2054,"base":11}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2359,"base":11}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":4908,"base":11},"right_expr":{"type":"numeric_atoms","value":2752,"base":11}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1730,"base":11}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":5146,"base":11},"right_expr":{"type":"numeric_atoms","value":2726,"base":11}}}}},"used_operators":["T2fj7uvVaJ","9FxExcQeMw","srAu1WTS94","Asc51vEJeQ","l07mrZUIn9","uFcxV4UQCh","W4YGzv6Whe","A8NUZmVepG","AHs5Up7iyr","rysDP5nf3Z","megm06wKyl","IWmyXbctLI"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","XhwjNDsVaA","AHs5Up7iyr","9HNa5Wba9A","2DDjHMKMc0","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","k8jYdgA6NY","dWAJyo7jo9","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4373","layer":4},{"info":"number node, value=5712","layer":4},{"info":"compute binary expreesion, left_input=4373, right_input=5712, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2710","layer":3},{"info":"compute unary expreesion, input=-2710, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=7344100","layer":2},{"info":"number node, value=2054","layer":4},{"info":"compute unary expreesion, input=2054, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=125667828","layer":3},{"info":"compute unary expreesion, input=125667828, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=7344100, 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=2359","layer":4},{"info":"compute unary expreesion, input=2359, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=13","layer":3},{"info":"number node, value=4908","layer":4},{"info":"number node, value=2752","layer":4},{"info":"compute binary expreesion, left_input=4908, right_input=2752, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=13, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1730","layer":4},{"info":"compute unary expreesion, input=1730, 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=5146","layer":4},{"info":"number node, value=2726","layer":4},{"info":"compute binary expreesion, left_input=5146, right_input=2726, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=10608","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=10608, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-10629","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-10629, 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 = T2fj7uvVaJ 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":11,"result_base":11,"text":"(⨵≀≌⋰*⋻3316⩷∴⋰*⋻4323)⩷∴(↣≠⋷(⋰*⋻15A8↪⪝))⋓((↥⋰*⋻1855)+⋰*⋻3762≹⇙⪍⋰*⋻2082)⪛((⨈⫕⋰*⋻1333)-⋰*⋻3959⪮%⊝⋰*⋻2059)=NaN","reverse_text":"NaN=(⨵≀≌⋰*⋻3316⩷∴⋰*⋻4323)⩷∴(↣≠⋷(⋰*⋻15A8↪⪝))⋓((↥⋰*⋻1855)+⋰*⋻3762≹⇙⪍⋰*⋻2082)⪛((⨈⫕⋰*⋻1333)-⋰*⋻3959⪮%⊝⋰*⋻2059)","cot":[{"info":"⋰*⋻3316⩷∴⋰*⋻4323=⋰*⋻-2044","layer":3},{"info":"⨵≀≌⋰*⋻-2044=⋰*⋻4166805","layer":2},{"info":"⋰*⋻15A8↪⪝=⋰*⋻64A33110","layer":3},{"info":"↣≠⋷⋰*⋻64A33110=NaN","layer":2},{"info":"⋰*⋻4166805⩷∴NaN=NaN","layer":1},{"info":"↥⋰*⋻1855=⋰*⋻12","layer":3},{"info":"⋰*⋻3762≹⇙⪍⋰*⋻2082=NaN","layer":3},{"info":"⋰*⋻12+NaN=NaN","layer":2},{"info":"⨈⫕⋰*⋻1333=⋰*⋻-1A","layer":3},{"info":"⋰*⋻3959⪮%⊝⋰*⋻2059=⋰*⋻7A74","layer":3},{"info":"⋰*⋻-1A-⋰*⋻7A74=⋰*⋻-7A93","layer":2},{"info":"NaN⪛⋰*⋻-7A93=NaN","layer":1},{"info":"NaN⋓NaN=NaN","layer":0}]}
{"id":60,"expression_no_base_symbol":"((↩($1598$⩨$1123$))⨵⪆($2207$+$3210$)⨎$1558$⋓$4899$)⊉≛↸($8060$⋝⋈⪟$5562$)⪛($7470$↙$4968$)⋳⪒((⨑⩽⪐$2462$)⋷(⨰⫟⨤$1668$))","expression":"((↩(⋰*⋻1223⩨⋰*⋻931))⨵⪆(⋰*⋻1727+⋰*⋻2459)⨎⋰*⋻1197⋓⋰*⋻3754)⊉≛↸(⋰*⋻6068⋝⋈⪟⋰*⋻41A7)⪛(⋰*⋻5681↙⋰*⋻3807)⋳⪒((⨑⩽⪐⋰*⋻1939)⋷(⨰⫟⨤⋰*⋻1287))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":10864,"operation_count":14,"complexity_ratio":776.0,"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":1598,"base":11},"right_expr":{"type":"numeric_atoms","value":1123,"base":11}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2207,"base":11},"right_expr":{"type":"numeric_atoms","value":3210,"base":11}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1558,"base":11},"right_expr":{"type":"numeric_atoms","value":4899,"base":11}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":8060,"base":11},"right_expr":{"type":"numeric_atoms","value":5562,"base":11}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":7470,"base":11},"right_expr":{"type":"numeric_atoms","value":4968,"base":11}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2462,"base":11}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1668,"base":11}}}}},"used_operators":["DZ8iAZOCBD","2DQ55sFlQl","jLgFTUHLKL","2DlMacCsIx","rJVOvQCfKK","W4YGzv6Whe","T2fj7uvVaJ","12rbrZMWeM","uFcxV4UQCh","2DDjHMKMc0","yyfyN0ffXY","23Mk6UjR3U","AF7qkfDlqP","Tw270M8GLb"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"⋰*⋻271","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1598","layer":4},{"info":"number node, value=1123","layer":4},{"info":"compute binary expreesion, left_input=1598, right_input=1123, 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 = 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=2207","layer":4},{"info":"number node, value=3210","layer":4},{"info":"compute binary expreesion, left_input=2207, right_input=3210, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5417","layer":3},{"info":"number node, value=1558","layer":4},{"info":"number node, value=4899","layer":4},{"info":"compute binary expreesion, left_input=1558, right_input=4899, op_id = T2fj7uvVaJ binary_op_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=5417, 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=4844, right_input=0, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=8060","layer":4},{"info":"number node, value=5562","layer":4},{"info":"compute binary expreesion, left_input=8060, right_input=5562, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=8060","layer":3},{"info":"number node, value=7470","layer":4},{"info":"number node, value=4968","layer":4},{"info":"compute binary expreesion, left_input=7470, right_input=4968, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-14904","layer":3},{"info":"compute binary expreesion, left_input=8060, right_input=-14904, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-6844","layer":2},{"info":"number node, value=2462","layer":4},{"info":"compute unary expreesion, input=2462, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2189","layer":3},{"info":"number node, value=1668","layer":4},{"info":"compute unary expreesion, input=1668, 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=-2189, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=4378","layer":2},{"info":"compute binary expreesion, left_input=-6844, right_input=4378, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-18353","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-18353, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=320","layer":0}],"base":11,"result_base":11,"text":"((↩(⋰*⋻1223⩨⋰*⋻931))⨵⪆(⋰*⋻1727+⋰*⋻2459)⨎⋰*⋻1197⋓⋰*⋻3754)⊉≛↸(⋰*⋻6068⋝⋈⪟⋰*⋻41A7)⪛(⋰*⋻5681↙⋰*⋻3807)⋳⪒((⨑⩽⪐⋰*⋻1939)⋷(⨰⫟⨤⋰*⋻1287))=⋰*⋻271","reverse_text":"⋰*⋻271=((↩(⋰*⋻1223⩨⋰*⋻931))⨵⪆(⋰*⋻1727+⋰*⋻2459)⨎⋰*⋻1197⋓⋰*⋻3754)⊉≛↸(⋰*⋻6068⋝⋈⪟⋰*⋻41A7)⪛(⋰*⋻5681↙⋰*⋻3807)⋳⪒((⨑⩽⪐⋰*⋻1939)⋷(⨰⫟⨤⋰*⋻1287))","cot":[{"info":"⋰*⋻1223⩨⋰*⋻931=⋰*⋻0","layer":3},{"info":"↩⋰*⋻0=⋰*⋻3704","layer":2},{"info":"⋰*⋻1727+⋰*⋻2459=⋰*⋻4085","layer":3},{"info":"⋰*⋻1197⋓⋰*⋻3754=⋰*⋻0","layer":3},{"info":"⋰*⋻4085⨎⋰*⋻0=⋰*⋻0","layer":2},{"info":"⋰*⋻3704⨵⪆⋰*⋻0=⋰*⋻136","layer":1},{"info":"⋰*⋻6068⋝⋈⪟⋰*⋻41A7=⋰*⋻6068","layer":3},{"info":"⋰*⋻5681↙⋰*⋻3807=⋰*⋻-1021A","layer":3},{"info":"⋰*⋻6068⪛⋰*⋻-1021A=⋰*⋻-5162","layer":2},{"info":"⨑⩽⪐⋰*⋻1939=⋰*⋻-1710","layer":3},{"info":"⨰⫟⨤⋰*⋻1287=NaN","layer":3},{"info":"⋰*⋻-1710⋷NaN=⋰*⋻3320","layer":2},{"info":"⋰*⋻-5162⋳⪒⋰*⋻3320=⋰*⋻-12875","layer":1},{"info":"⋰*⋻136⊉≛↸⋰*⋻-12875=⋰*⋻271","layer":0}]}
{"id":61,"expression_no_base_symbol":"(⨵≀≌($7953$↬$1062$⇼⇔∾$1591$⪮%⊝$2373$))≦≮≮","expression":"(⨵≀≌(⋰*⋻5A80↬⋰*⋻886⇼⇔∾⋰*⋻1217⪮%⊝⋰*⋻1868))≦≮≮","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":18,"operation_count":5,"complexity_ratio":3.6,"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":7953,"base":11},"right_expr":{"type":"numeric_atoms","value":1062,"base":11}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1591,"base":11},"right_expr":{"type":"numeric_atoms","value":2373,"base":11}}}}},"used_operators":["D4vGDi5EA2","srAu1WTS94","tifHPKVTfV","B5M0gjZbta","IWmyXbctLI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=7953","layer":4},{"info":"number node, value=1062","layer":4},{"info":"compute binary expreesion, left_input=7953, right_input=1062, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1591","layer":4},{"info":"number node, value=2373","layer":4},{"info":"compute binary expreesion, left_input=1591, right_input=2373, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3498","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3498, op_id = tifHPKVTfV 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 unary expreesion, input=nan, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⨵≀≌(⋰*⋻5A80↬⋰*⋻886⇼⇔∾⋰*⋻1217⪮%⊝⋰*⋻1868))≦≮≮=NaN","reverse_text":"NaN=(⨵≀≌(⋰*⋻5A80↬⋰*⋻886⇼⇔∾⋰*⋻1217⪮%⊝⋰*⋻1868))≦≮≮","cot":[{"info":"⋰*⋻5A80↬⋰*⋻886=NaN","layer":3},{"info":"⋰*⋻1217⪮%⊝⋰*⋻1868=⋰*⋻26A0","layer":3},{"info":"NaN⇼⇔∾⋰*⋻26A0=NaN","layer":2},{"info":"⨵≀≌NaN=NaN","layer":1},{"info":"NaN≦≮≮=NaN","layer":0}]}
{"id":62,"expression_no_base_symbol":"((⨈⫕(-$2085$))⋷(⋗⩬⋾($1209$≫≃)))∑⇟⊟(≉($1528$⨐⩸⫘$6641$⪨≂($1718$⪐)))","expression":"((⨈⫕(-⋰*⋻1626))⋷(⋗⩬⋾(⋰*⋻9AA≫≃)))∑⇟⊟(≉(⋰*⋻116A⨐⩸⫘⋰*⋻4A98⪨≂(⋰*⋻1322⪐)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":409,"operation_count":10,"complexity_ratio":40.9,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":2085,"base":11}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1209,"base":11}}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1528,"base":11},"right_expr":{"type":"numeric_atoms","value":6641,"base":11}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1718,"base":11}}}}},"used_operators":["U7g4x0WXJJ","23Mk6UjR3U","megm06wKyl","t8gj7n24qd","DpFCA1CohY","X99M06cbEe","e1ybzncUwg","sdazOOVcIp","fu6greOZ01","eH2TOUuTDT"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2085","layer":4},{"info":"compute unary expreesion, input=2085, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2085","layer":3},{"info":"compute unary expreesion, input=-2085, 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=1209","layer":4},{"info":"compute unary expreesion, input=1209, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=3819","layer":3},{"info":"compute unary expreesion, input=3819, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-11457","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=-11457, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=42","layer":1},{"info":"number node, value=1528","layer":4},{"info":"number node, value=6641","layer":4},{"info":"compute binary expreesion, left_input=1528, right_input=6641, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=1718","layer":4},{"info":"compute unary expreesion, input=1718, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=3436","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3436, op_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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=42, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⨈⫕(-⋰*⋻1626))⋷(⋗⩬⋾(⋰*⋻9AA≫≃)))∑⇟⊟(≉(⋰*⋻116A⨐⩸⫘⋰*⋻4A98⪨≂(⋰*⋻1322⪐)))=NaN","reverse_text":"NaN=((⨈⫕(-⋰*⋻1626))⋷(⋗⩬⋾(⋰*⋻9AA≫≃)))∑⇟⊟(≉(⋰*⋻116A⨐⩸⫘⋰*⋻4A98⪨≂(⋰*⋻1322⪐)))","cot":[{"info":"-⋰*⋻1626=⋰*⋻-1626","layer":3},{"info":"⨈⫕⋰*⋻-1626=⋰*⋻-1A","layer":2},{"info":"⋰*⋻9AA≫≃=⋰*⋻2962","layer":3},{"info":"⋗⩬⋾⋰*⋻2962=⋰*⋻-8676","layer":2},{"info":"⋰*⋻-1A⋷⋰*⋻-8676=⋰*⋻39","layer":1},{"info":"⋰*⋻116A⨐⩸⫘⋰*⋻4A98=NaN","layer":3},{"info":"⋰*⋻1322⪐=⋰*⋻2644","layer":3},{"info":"NaN⪨≂⋰*⋻2644=NaN","layer":2},{"info":"≉NaN=NaN","layer":1},{"info":"⋰*⋻39∑⇟⊟NaN=NaN","layer":0}]}
{"id":63,"expression_no_base_symbol":"(≉($1662$⊠≄⫣)⨽(≉$4619$))/$3846$⩚⊴⇥$7990$⩚⊴⇥($2816$⊪)%($3037$⨵⪆$2928$)⨪↰⇹$1056$∀⇚≩$6680$","expression":"(≉(⋰*⋻1281⊠≄⫣)⨽(≉⋰*⋻351A))/⋰*⋻2987⩚⊴⇥⋰*⋻6004⩚⊴⇥(⋰*⋻2130⊪)%(⋰*⋻2311⨵⪆⋰*⋻2222)⨪↰⇹⋰*⋻880∀⇚≩⋰*⋻5023","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7771,"operation_count":12,"complexity_ratio":647.5833333333334,"tree":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1662,"base":11}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":4619,"base":11}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3846,"base":11},"right_expr":{"type":"numeric_atoms","value":7990,"base":11}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":2816,"base":11}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3037,"base":11},"right_expr":{"type":"numeric_atoms","value":2928,"base":11}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1056,"base":11},"right_expr":{"type":"numeric_atoms","value":6680,"base":11}}}}},"used_operators":["XhwjNDsVaA","e1ybzncUwg","8HhzD0ZcuI","DIvbN7qnHd","k8jYdgA6NY","NTOWxs364D","zVYPLywUTj","tmPS8pqC7x","2DQ55sFlQl","LRNGc0VcxI"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe"],"result":"⋰*⋻-83","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1662","layer":4},{"info":"compute unary expreesion, input=1662, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=4619","layer":4},{"info":"compute unary expreesion, input=4619, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=5150","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5150, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-14136","layer":2},{"info":"compute unary expreesion, input=-14136, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-14136","layer":1},{"info":"number node, value=3846","layer":4},{"info":"number node, value=7990","layer":4},{"info":"compute binary expreesion, left_input=3846, right_input=7990, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-11957","layer":3},{"info":"number node, value=2816","layer":4},{"info":"compute unary expreesion, input=2816, 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=-11957, right_input=0, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=11836","layer":2},{"info":"number node, value=3037","layer":4},{"info":"number node, value=2928","layer":4},{"info":"compute binary expreesion, left_input=3037, right_input=2928, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1056","layer":4},{"info":"number node, value=6680","layer":4},{"info":"compute binary expreesion, left_input=1056, right_input=6680, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=160, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=160","layer":2},{"info":"compute binary expreesion, left_input=11836, right_input=160, op_id = k8jYdgA6NY binary_op_definition= 'None', output=156","layer":1},{"info":"compute binary expreesion, left_input=-14136, right_input=156, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-91","layer":0}],"base":11,"result_base":11,"text":"(≉(⋰*⋻1281⊠≄⫣)⨽(≉⋰*⋻351A))/⋰*⋻2987⩚⊴⇥⋰*⋻6004⩚⊴⇥(⋰*⋻2130⊪)%(⋰*⋻2311⨵⪆⋰*⋻2222)⨪↰⇹⋰*⋻880∀⇚≩⋰*⋻5023=⋰*⋻-83","reverse_text":"⋰*⋻-83=(≉(⋰*⋻1281⊠≄⫣)⨽(≉⋰*⋻351A))/⋰*⋻2987⩚⊴⇥⋰*⋻6004⩚⊴⇥(⋰*⋻2130⊪)%(⋰*⋻2311⨵⪆⋰*⋻2222)⨪↰⇹⋰*⋻880∀⇚≩⋰*⋻5023","cot":[{"info":"⋰*⋻1281⊠≄⫣=⋰*⋻0","layer":3},{"info":"≉⋰*⋻351A=⋰*⋻3962","layer":3},{"info":"⋰*⋻0⨽⋰*⋻3962=⋰*⋻-A691","layer":2},{"info":"≉⋰*⋻-A691=⋰*⋻-A691","layer":1},{"info":"⋰*⋻2987⩚⊴⇥⋰*⋻6004=⋰*⋻-8A90","layer":3},{"info":"⋰*⋻2130⊪=⋰*⋻0","layer":3},{"info":"⋰*⋻-8A90⩚⊴⇥⋰*⋻0=⋰*⋻8990","layer":2},{"info":"⋰*⋻2311⨵⪆⋰*⋻2222=⋰*⋻136","layer":3},{"info":"⋰*⋻880∀⇚≩⋰*⋻5023=NaN","layer":3},{"info":"⋰*⋻136⨪↰⇹NaN=⋰*⋻136","layer":2},{"info":"⋰*⋻8990%⋰*⋻136=⋰*⋻132","layer":1},{"info":"⋰*⋻-A691/⋰*⋻132=⋰*⋻-83","layer":0}]}
{"id":64,"expression_no_base_symbol":"($1263$≎⊠⪸$1794$⫥∨⫟($4767$⨳⩥⨓$7334$)⇼⇔∾(($3084$⫩⊇)⩨$1355$⋝⋈⪟$1083$))⇷($1173$⊴$5227$+($1352$/$5196$)⫡⨏($1144$⋝⋈⪟$1003$/$2691$⨽$6581$))","expression":"(⋰*⋻A49≎⊠⪸⋰*⋻1391⫥∨⫟(⋰*⋻3644⨳⩥⨓⋰*⋻5568)⇼⇔∾((⋰*⋻2354⫩⊇)⩨⋰*⋻1022⋝⋈⪟⋰*⋻8A5))⇷(⋰*⋻977⊴⋰*⋻3A22+(⋰*⋻101A/⋰*⋻39A4)⫡⨏(⋰*⋻950⋝⋈⪟⋰*⋻832/⋰*⋻2027⨽⋰*⋻4A43))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8391,"operation_count":15,"complexity_ratio":559.4,"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":1263,"base":11},"right_expr":{"type":"numeric_atoms","value":1794,"base":11}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4767,"base":11},"right_expr":{"type":"numeric_atoms","value":7334,"base":11}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":3084,"base":11}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1355,"base":11},"right_expr":{"type":"numeric_atoms","value":1083,"base":11}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1173,"base":11},"right_expr":{"type":"numeric_atoms","value":5227,"base":11}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1352,"base":11},"right_expr":{"type":"numeric_atoms","value":5196,"base":11}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1144,"base":11},"right_expr":{"type":"numeric_atoms","value":1003,"base":11}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2691,"base":11},"right_expr":{"type":"numeric_atoms","value":6581,"base":11}}}}},"used_operators":["mp7IySMOzn","tifHPKVTfV","KYD54nUTWz","bJkvcejdHO","nCS4ZIUYfx","2DlMacCsIx","BjRHVeLaeN","2DDjHMKMc0","QMFrweE19q","W4YGzv6Whe","Nsiff2A1zJ","XhwjNDsVaA","8HhzD0ZcuI"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1263","layer":4},{"info":"number node, value=1794","layer":4},{"info":"compute binary expreesion, left_input=1263, right_input=1794, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=326644","layer":3},{"info":"number node, value=4767","layer":4},{"info":"number node, value=7334","layer":4},{"info":"compute binary expreesion, left_input=4767, right_input=7334, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2567","layer":3},{"info":"compute binary expreesion, left_input=326644, right_input=2567, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=3084","layer":4},{"info":"compute unary expreesion, input=3084, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-3042","layer":3},{"info":"number node, value=1355","layer":4},{"info":"number node, value=1083","layer":4},{"info":"compute binary expreesion, left_input=1355, right_input=1083, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1355","layer":3},{"info":"compute binary expreesion, left_input=-3042, right_input=1355, 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 = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=1173","layer":4},{"info":"number node, value=5227","layer":4},{"info":"compute binary expreesion, left_input=1173, right_input=5227, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1352","layer":4},{"info":"number node, value=5196","layer":4},{"info":"compute binary expreesion, left_input=1352, right_input=5196, op_id = XhwjNDsVaA binary_op_definition= 'None', 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":"number node, value=1144","layer":4},{"info":"number node, value=1003","layer":4},{"info":"compute binary expreesion, left_input=1144, right_input=1003, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1144","layer":3},{"info":"number node, value=2691","layer":4},{"info":"number node, value=6581","layer":4},{"info":"compute binary expreesion, left_input=2691, right_input=6581, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-21742872","layer":3},{"info":"compute binary expreesion, left_input=1144, right_input=-21742872, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":2},{"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":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":11,"result_base":11,"text":"(⋰*⋻A49≎⊠⪸⋰*⋻1391⫥∨⫟(⋰*⋻3644⨳⩥⨓⋰*⋻5568)⇼⇔∾((⋰*⋻2354⫩⊇)⩨⋰*⋻1022⋝⋈⪟⋰*⋻8A5))⇷(⋰*⋻977⊴⋰*⋻3A22+(⋰*⋻101A/⋰*⋻39A4)⫡⨏(⋰*⋻950⋝⋈⪟⋰*⋻832/⋰*⋻2027⨽⋰*⋻4A43))=NaN","reverse_text":"NaN=(⋰*⋻A49≎⊠⪸⋰*⋻1391⫥∨⫟(⋰*⋻3644⨳⩥⨓⋰*⋻5568)⇼⇔∾((⋰*⋻2354⫩⊇)⩨⋰*⋻1022⋝⋈⪟⋰*⋻8A5))⇷(⋰*⋻977⊴⋰*⋻3A22+(⋰*⋻101A/⋰*⋻39A4)⫡⨏(⋰*⋻950⋝⋈⪟⋰*⋻832/⋰*⋻2027⨽⋰*⋻4A43))","cot":[{"info":"⋰*⋻A49≎⊠⪸⋰*⋻1391=⋰*⋻20345A","layer":3},{"info":"⋰*⋻3644⨳⩥⨓⋰*⋻5568=⋰*⋻1A24","layer":3},{"info":"⋰*⋻20345A⫥∨⫟⋰*⋻1A24=NaN","layer":2},{"info":"⋰*⋻2354⫩⊇=⋰*⋻-2316","layer":3},{"info":"⋰*⋻1022⋝⋈⪟⋰*⋻8A5=⋰*⋻1022","layer":3},{"info":"⋰*⋻-2316⩨⋰*⋻1022=⋰*⋻3","layer":2},{"info":"NaN⇼⇔∾⋰*⋻3=NaN","layer":1},{"info":"⋰*⋻977⊴⋰*⋻3A22=NaN","layer":3},{"info":"⋰*⋻101A/⋰*⋻39A4=⋰*⋻0","layer":3},{"info":"NaN+⋰*⋻0=NaN","layer":2},{"info":"⋰*⋻950⋝⋈⪟⋰*⋻832=⋰*⋻950","layer":3},{"info":"⋰*⋻2027⨽⋰*⋻4A43=⋰*⋻-11300818","layer":3},{"info":"⋰*⋻950/⋰*⋻-11300818=⋰*⋻-1","layer":2},{"info":"NaN⫡⨏⋰*⋻-1=NaN","layer":1},{"info":"NaN⇷NaN=NaN","layer":0}]}
{"id":65,"expression_no_base_symbol":"(((≉$1863$)*(⊙↵-$3325$))⨐⩸⫘($1513$↙$2439$↙$1669$⋝⋈⪟$1711$))⇷((($1836$⇼⇔∾$2727$)↙(↩$1338$))≎⊠⪸(⨈⫕$1145$⨰$1410$))","expression":"(((≉⋰*⋻1444)*(⊙↵-⋰*⋻2553))⨐⩸⫘(⋰*⋻1156↙⋰*⋻1918↙⋰*⋻1288⋝⋈⪟⋰*⋻1316))⇷(((⋰*⋻141A⇼⇔∾⋰*⋻205A)↙(↩⋰*⋻1007))≎⊠⪸(⨈⫕⋰*⋻951⨰⋰*⋻1072))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":14435,"operation_count":14,"complexity_ratio":1031.0714285714287,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1863,"base":11}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":3325,"base":11}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1513,"base":11},"right_expr":{"type":"numeric_atoms","value":2439,"base":11}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1669,"base":11},"right_expr":{"type":"numeric_atoms","value":1711,"base":11}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1836,"base":11},"right_expr":{"type":"numeric_atoms","value":2727,"base":11}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1338,"base":11}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1145,"base":11},"right_expr":{"type":"numeric_atoms","value":1410,"base":11}}}}},"used_operators":["mp7IySMOzn","fu6greOZ01","9HNa5Wba9A","e1ybzncUwg","oWn0xqSxBt","yyfyN0ffXY","2DDjHMKMc0","bJkvcejdHO","tifHPKVTfV","jLgFTUHLKL","megm06wKyl","eewbuw0ToL"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","3ViojmjbAp","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻6A4A9A1","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1863","layer":4},{"info":"compute unary expreesion, input=1863, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2394","layer":3},{"info":"number node, value=3325","layer":4},{"info":"compute unary expreesion, input=3325, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=2394, right_input=-1, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-2394","layer":2},{"info":"number node, value=1513","layer":4},{"info":"number node, value=2439","layer":4},{"info":"compute binary expreesion, left_input=1513, right_input=2439, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-7317","layer":3},{"info":"number node, value=1669","layer":4},{"info":"number node, value=1711","layer":4},{"info":"compute binary expreesion, left_input=1669, right_input=1711, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1669","layer":3},{"info":"compute binary expreesion, left_input=-7317, right_input=1669, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-7317","layer":2},{"info":"compute binary expreesion, left_input=-2394, right_input=-7317, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=1836","layer":4},{"info":"number node, value=2727","layer":4},{"info":"compute binary expreesion, left_input=1836, right_input=2727, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=891","layer":3},{"info":"number node, value=1338","layer":4},{"info":"compute unary expreesion, input=1338, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-7924","layer":3},{"info":"compute binary expreesion, left_input=891, right_input=-7924, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=23772","layer":2},{"info":"number node, value=1145","layer":4},{"info":"number node, value=1410","layer":4},{"info":"compute binary expreesion, left_input=1145, right_input=1410, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-255","layer":3},{"info":"compute unary expreesion, input=-255, 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=23772, right_input=-21, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=6156475","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=6156475, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=12312950","layer":0}],"base":11,"result_base":11,"text":"(((≉⋰*⋻1444)*(⊙↵-⋰*⋻2553))⨐⩸⫘(⋰*⋻1156↙⋰*⋻1918↙⋰*⋻1288⋝⋈⪟⋰*⋻1316))⇷(((⋰*⋻141A⇼⇔∾⋰*⋻205A)↙(↩⋰*⋻1007))≎⊠⪸(⨈⫕⋰*⋻951⨰⋰*⋻1072))=⋰*⋻6A4A9A1","reverse_text":"⋰*⋻6A4A9A1=(((≉⋰*⋻1444)*(⊙↵-⋰*⋻2553))⨐⩸⫘(⋰*⋻1156↙⋰*⋻1918↙⋰*⋻1288⋝⋈⪟⋰*⋻1316))⇷(((⋰*⋻141A⇼⇔∾⋰*⋻205A)↙(↩⋰*⋻1007))≎⊠⪸(⨈⫕⋰*⋻951⨰⋰*⋻1072))","cot":[{"info":"≉⋰*⋻1444=⋰*⋻1887","layer":3},{"info":"⊙↵-⋰*⋻2553=⋰*⋻-1","layer":3},{"info":"⋰*⋻1887*⋰*⋻-1=⋰*⋻-1887","layer":2},{"info":"⋰*⋻1156↙⋰*⋻1918=⋰*⋻-5552","layer":3},{"info":"⋰*⋻1288⋝⋈⪟⋰*⋻1316=⋰*⋻1288","layer":3},{"info":"⋰*⋻-5552↙⋰*⋻1288=⋰*⋻-5552","layer":2},{"info":"⋰*⋻-1887⨐⩸⫘⋰*⋻-5552=NaN","layer":1},{"info":"⋰*⋻141A⇼⇔∾⋰*⋻205A=⋰*⋻740","layer":3},{"info":"↩⋰*⋻1007=⋰*⋻-5A54","layer":3},{"info":"⋰*⋻740↙⋰*⋻-5A54=⋰*⋻16951","layer":2},{"info":"⋰*⋻951⨰⋰*⋻1072=⋰*⋻-212","layer":3},{"info":"⨈⫕⋰*⋻-212=⋰*⋻-1A","layer":2},{"info":"⋰*⋻16951≎⊠⪸⋰*⋻-1A=⋰*⋻35254A6","layer":1},{"info":"NaN⇷⋰*⋻35254A6=⋰*⋻6A4A9A1","layer":0}]}
{"id":66,"expression_no_base_symbol":"↽≂(($4423$*$3214$)∼($1500$⊉≛↸$2040$)⇼⇔∾($4379$+⇶⊼$1698$)⪢(↩$6498$))","expression":"↽≂((⋰*⋻3361*⋰*⋻2462)∼(⋰*⋻1144⊉≛↸⋰*⋻1595)⇼⇔∾(⋰*⋻3321+⇶⊼⋰*⋻1304)⪢(↩⋰*⋻4978))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":331179,"operation_count":8,"complexity_ratio":41397.375,"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":4423,"base":11},"right_expr":{"type":"numeric_atoms","value":3214,"base":11}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1500,"base":11},"right_expr":{"type":"numeric_atoms","value":2040,"base":11}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4379,"base":11},"right_expr":{"type":"numeric_atoms","value":1698,"base":11}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":6498,"base":11}}}}},"used_operators":["u6S6b8DprG","tifHPKVTfV","DyGG3AbaNP","9HNa5Wba9A","DZ8iAZOCBD","dWAJyo7jo9","TpPTUOHfaN","jLgFTUHLKL"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","AHs5Up7iyr","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4423","layer":4},{"info":"number node, value=3214","layer":4},{"info":"compute binary expreesion, left_input=4423, right_input=3214, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=14215522","layer":3},{"info":"number node, value=1500","layer":4},{"info":"number node, value=2040","layer":4},{"info":"compute binary expreesion, left_input=1500, right_input=2040, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3000","layer":3},{"info":"compute binary expreesion, left_input=14215522, right_input=3000, 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=4379","layer":4},{"info":"number node, value=1698","layer":4},{"info":"compute binary expreesion, left_input=4379, right_input=1698, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=6498","layer":4},{"info":"compute unary expreesion, input=6498, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-49204","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-49204, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"↽≂((⋰*⋻3361*⋰*⋻2462)∼(⋰*⋻1144⊉≛↸⋰*⋻1595)⇼⇔∾(⋰*⋻3321+⇶⊼⋰*⋻1304)⪢(↩⋰*⋻4978))=NaN","reverse_text":"NaN=↽≂((⋰*⋻3361*⋰*⋻2462)∼(⋰*⋻1144⊉≛↸⋰*⋻1595)⇼⇔∾(⋰*⋻3321+⇶⊼⋰*⋻1304)⪢(↩⋰*⋻4978))","cot":[{"info":"⋰*⋻3361*⋰*⋻2462=⋰*⋻802A372","layer":3},{"info":"⋰*⋻1144⊉≛↸⋰*⋻1595=⋰*⋻2288","layer":3},{"info":"⋰*⋻802A372∼⋰*⋻2288=NaN","layer":2},{"info":"⋰*⋻3321+⇶⊼⋰*⋻1304=NaN","layer":3},{"info":"↩⋰*⋻4978=⋰*⋻-33A71","layer":3},{"info":"NaN⪢⋰*⋻-33A71=NaN","layer":2},{"info":"NaN⇼⇔∾NaN=NaN","layer":1},{"info":"↽≂NaN=NaN","layer":0}]}
{"id":67,"expression_no_base_symbol":"(⇁⨣⪵$7829$≹⇙⪍$4756$)⨰($3202$⨓$1108$⫌⩹⨱)⪠⩆⊳","expression":"(⇁⨣⪵⋰*⋻5978≹⇙⪍⋰*⋻3634)⨰(⋰*⋻2451⨓⋰*⋻918⫌⩹⨱)⪠⩆⊳","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1135,"operation_count":6,"complexity_ratio":189.16666666666666,"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":7829,"base":11},"right_expr":{"type":"numeric_atoms","value":4756,"base":11}}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3202,"base":11},"right_expr":{"type":"numeric_atoms","value":1108,"base":11}}}}},"used_operators":["JLbD19bQDL","eewbuw0ToL","inkyxCbjAn","AHs5Up7iyr","EBcxylXtPf","3ViojmjbAp"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=7829","layer":4},{"info":"number node, value=4756","layer":4},{"info":"compute binary expreesion, left_input=7829, right_input=4756, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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 = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"number node, value=3202","layer":4},{"info":"number node, value=1108","layer":4},{"info":"compute binary expreesion, left_input=3202, right_input=1108, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1111","layer":3},{"info":"compute unary expreesion, input=-1111, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=-821","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-821, 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 = 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":11,"result_base":11,"text":"(⇁⨣⪵⋰*⋻5978≹⇙⪍⋰*⋻3634)⨰(⋰*⋻2451⨓⋰*⋻918⫌⩹⨱)⪠⩆⊳=NaN","reverse_text":"NaN=(⇁⨣⪵⋰*⋻5978≹⇙⪍⋰*⋻3634)⨰(⋰*⋻2451⨓⋰*⋻918⫌⩹⨱)⪠⩆⊳","cot":[{"info":"⋰*⋻5978≹⇙⪍⋰*⋻3634=NaN","layer":3},{"info":"⇁⨣⪵NaN=NaN","layer":2},{"info":"⋰*⋻2451⨓⋰*⋻918=⋰*⋻-920","layer":3},{"info":"⋰*⋻-920⫌⩹⨱=⋰*⋻-687","layer":2},{"info":"NaN⨰⋰*⋻-687=NaN","layer":1},{"info":"NaN⪠⩆⊳=NaN","layer":0}]}
{"id":68,"expression_no_base_symbol":"($3957$⨰$2947$⪒$1047$⫸⊐$4039$)⪛((⨰⫟⨤$1316$)⋝⋈⪟($4017$⨰$4522$))*($3354$∀⇚≩$5928$⊪)⋳⪒(($7356$⩠)⇋≉)","expression":"(⋰*⋻2A78⨰⋰*⋻223A⪒⋰*⋻872⫸⊐⋰*⋻3042)⪛((⨰⫟⨤⋰*⋻A97)⋝⋈⪟(⋰*⋻3022⨰⋰*⋻3441))*(⋰*⋻257A∀⇚≩⋰*⋻44AA⊪)⋳⪒((⋰*⋻5588⩠)⇋≉)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":27990,"operation_count":13,"complexity_ratio":2153.076923076923,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3957,"base":11},"right_expr":{"type":"numeric_atoms","value":2947,"base":11}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1047,"base":11},"right_expr":{"type":"numeric_atoms","value":4039,"base":11}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1316,"base":11}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4017,"base":11},"right_expr":{"type":"numeric_atoms","value":4522,"base":11}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3354,"base":11},"right_expr":{"type":"numeric_atoms","value":5928,"base":11}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":7356,"base":11}}}}},"used_operators":["9HNa5Wba9A","uFcxV4UQCh","f6k1SAg4EE","eewbuw0ToL","mqXw5SEYmG","2DDjHMKMc0","Tw270M8GLb","12rbrZMWeM","zVYPLywUTj","LRNGc0VcxI","XIabStNQrY","sJAwomhLZr"],"dependent_operators":["W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3957","layer":4},{"info":"number node, value=2947","layer":4},{"info":"compute binary expreesion, left_input=3957, right_input=2947, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1020","layer":3},{"info":"number node, value=1047","layer":4},{"info":"number node, value=4039","layer":4},{"info":"compute binary expreesion, left_input=1047, right_input=4039, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=16031","layer":3},{"info":"compute binary expreesion, left_input=1020, right_input=16031, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-17051","layer":2},{"info":"number node, value=1316","layer":4},{"info":"compute unary expreesion, input=1316, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=4017","layer":4},{"info":"number node, value=4522","layer":4},{"info":"compute binary expreesion, left_input=4017, right_input=4522, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-495","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-495, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-17051, 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=3354","layer":4},{"info":"number node, value=5928","layer":4},{"info":"compute binary expreesion, left_input=3354, right_input=5928, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = 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":"number node, value=7356","layer":4},{"info":"compute unary expreesion, input=7356, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-98","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-98, 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 = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻2A78⨰⋰*⋻223A⪒⋰*⋻872⫸⊐⋰*⋻3042)⪛((⨰⫟⨤⋰*⋻A97)⋝⋈⪟(⋰*⋻3022⨰⋰*⋻3441))*(⋰*⋻257A∀⇚≩⋰*⋻44AA⊪)⋳⪒((⋰*⋻5588⩠)⇋≉)=NaN","reverse_text":"NaN=(⋰*⋻2A78⨰⋰*⋻223A⪒⋰*⋻872⫸⊐⋰*⋻3042)⪛((⨰⫟⨤⋰*⋻A97)⋝⋈⪟(⋰*⋻3022⨰⋰*⋻3441))*(⋰*⋻257A∀⇚≩⋰*⋻44AA⊪)⋳⪒((⋰*⋻5588⩠)⇋≉)","cot":[{"info":"⋰*⋻2A78⨰⋰*⋻223A=⋰*⋻848","layer":3},{"info":"⋰*⋻872⫸⊐⋰*⋻3042=⋰*⋻11054","layer":3},{"info":"⋰*⋻848⪒⋰*⋻11054=⋰*⋻-118A1","layer":2},{"info":"⨰⫟⨤⋰*⋻A97=NaN","layer":3},{"info":"⋰*⋻3022⨰⋰*⋻3441=⋰*⋻-410","layer":3},{"info":"NaN⋝⋈⪟⋰*⋻-410=NaN","layer":2},{"info":"⋰*⋻-118A1⪛NaN=NaN","layer":1},{"info":"⋰*⋻257A∀⇚≩⋰*⋻44AA=NaN","layer":3},{"info":"NaN⊪=NaN","layer":2},{"info":"⋰*⋻5588⩠=⋰*⋻0","layer":3},{"info":"⋰*⋻0⇋≉=⋰*⋻-8A","layer":2},{"info":"NaN⋳⪒⋰*⋻-8A=NaN","layer":1},{"info":"NaN*NaN=NaN","layer":0}]}
{"id":69,"expression_no_base_symbol":"(($8656$⨵⪆$2887$)⨐⩸⫘$6559$⪢$3614$⨵⪆(∂($1652$↛⩡⫤)))⨪↰⇹(($3490$⋓$1868$≋⫹)⊭↱($2405$⋥≓≎$5026$)↬(⨞⊢$1520$))","expression":"((⋰*⋻655A⨵⪆⋰*⋻2195)⨐⩸⫘⋰*⋻4A23⪢⋰*⋻2796⨵⪆(∂(⋰*⋻1272↛⩡⫤)))⨪↰⇹((⋰*⋻2693⋓⋰*⋻1449≋⫹)⊭↱(⋰*⋻1897⋥≓≎⋰*⋻385A)↬(⨞⊢⋰*⋻1162))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":10710,"operation_count":13,"complexity_ratio":823.8461538461538,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":8656,"base":11},"right_expr":{"type":"numeric_atoms","value":2887,"base":11}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":6559,"base":11},"right_expr":{"type":"numeric_atoms","value":3614,"base":11}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1652,"base":11}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3490,"base":11},"right_expr":{"type":"numeric_atoms","value":1868,"base":11}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2405,"base":11},"right_expr":{"type":"numeric_atoms","value":5026,"base":11}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1520,"base":11}}}}},"used_operators":["tmPS8pqC7x","2DQ55sFlQl","fu6greOZ01","dWAJyo7jo9","Uaa54Peajs","FU0Cs4j7VP","COABgblf1C","N41Kp7NANJ","T2fj7uvVaJ","B5M0gjZbta","Qy55tPpLXF","xUOZtlo3hN"],"dependent_operators":["rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","k8jYdgA6NY","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻136","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=8656","layer":4},{"info":"number node, value=2887","layer":4},{"info":"compute binary expreesion, left_input=8656, right_input=2887, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=6559","layer":4},{"info":"number node, value=3614","layer":4},{"info":"compute binary expreesion, left_input=6559, right_input=3614, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=1652","layer":4},{"info":"compute unary expreesion, input=1652, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-245541","layer":3},{"info":"compute unary expreesion, input=-245541, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=245277","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=245277, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=3490","layer":4},{"info":"number node, value=1868","layer":4},{"info":"compute binary expreesion, left_input=3490, right_input=1868, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=0","layer":2},{"info":"number node, value=2405","layer":4},{"info":"number node, value=5026","layer":4},{"info":"compute binary expreesion, left_input=2405, right_input=5026, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=7680","layer":3},{"info":"number node, value=1520","layer":4},{"info":"compute unary expreesion, input=1520, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1694","layer":3},{"info":"compute binary expreesion, left_input=7680, right_input=-1694, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=160","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻655A⨵⪆⋰*⋻2195)⨐⩸⫘⋰*⋻4A23⪢⋰*⋻2796⨵⪆(∂(⋰*⋻1272↛⩡⫤)))⨪↰⇹((⋰*⋻2693⋓⋰*⋻1449≋⫹)⊭↱(⋰*⋻1897⋥≓≎⋰*⋻385A)↬(⨞⊢⋰*⋻1162))=⋰*⋻136","reverse_text":"⋰*⋻136=((⋰*⋻655A⨵⪆⋰*⋻2195)⨐⩸⫘⋰*⋻4A23⪢⋰*⋻2796⨵⪆(∂(⋰*⋻1272↛⩡⫤)))⨪↰⇹((⋰*⋻2693⋓⋰*⋻1449≋⫹)⊭↱(⋰*⋻1897⋥≓≎⋰*⋻385A)↬(⨞⊢⋰*⋻1162))","cot":[{"info":"⋰*⋻655A⨵⪆⋰*⋻2195=⋰*⋻136","layer":3},{"info":"⋰*⋻4A23⪢⋰*⋻2796=NaN","layer":3},{"info":"⋰*⋻136⨐⩸⫘NaN=NaN","layer":2},{"info":"⋰*⋻1272↛⩡⫤=⋰*⋻-15852A","layer":3},{"info":"∂⋰*⋻-15852A=⋰*⋻15830A","layer":2},{"info":"NaN⨵⪆⋰*⋻15830A=⋰*⋻136","layer":1},{"info":"⋰*⋻2693⋓⋰*⋻1449=⋰*⋻0","layer":3},{"info":"⋰*⋻0≋⫹=⋰*⋻0","layer":2},{"info":"⋰*⋻1897⋥≓≎⋰*⋻385A=⋰*⋻5852","layer":3},{"info":"⨞⊢⋰*⋻1162=⋰*⋻-1300","layer":3},{"info":"⋰*⋻5852↬⋰*⋻-1300=NaN","layer":2},{"info":"⋰*⋻0⊭↱NaN=NaN","layer":1},{"info":"⋰*⋻136⨪↰⇹NaN=⋰*⋻136","layer":0}]}
{"id":70,"expression_no_base_symbol":"((∂($2485$⨐⩸⫘$2101$))⊉≛↸(⨰⫟⨤$3991$∼$8537$))⫩⊇","expression":"((∂(⋰*⋻195A⨐⩸⫘⋰*⋻1640))⊉≛↸(⨰⫟⨤⋰*⋻2AA9∼⋰*⋻6461))⫩⊇","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":115,"operation_count":6,"complexity_ratio":19.166666666666668,"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":2485,"base":11},"right_expr":{"type":"numeric_atoms","value":2101,"base":11}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3991,"base":11},"right_expr":{"type":"numeric_atoms","value":8537,"base":11}}}}},"used_operators":["BjRHVeLaeN","DZ8iAZOCBD","Uaa54Peajs","fu6greOZ01","Tw270M8GLb","DyGG3AbaNP"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","3ViojmjbAp","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=2485","layer":4},{"info":"number node, value=2101","layer":4},{"info":"compute binary expreesion, left_input=2485, right_input=2101, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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 = 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=3991","layer":4},{"info":"number node, value=8537","layer":4},{"info":"compute binary expreesion, left_input=3991, right_input=8537, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=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 = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((∂(⋰*⋻195A⨐⩸⫘⋰*⋻1640))⊉≛↸(⨰⫟⨤⋰*⋻2AA9∼⋰*⋻6461))⫩⊇=NaN","reverse_text":"NaN=((∂(⋰*⋻195A⨐⩸⫘⋰*⋻1640))⊉≛↸(⨰⫟⨤⋰*⋻2AA9∼⋰*⋻6461))⫩⊇","cot":[{"info":"⋰*⋻195A⨐⩸⫘⋰*⋻1640=NaN","layer":3},{"info":"∂NaN=NaN","layer":2},{"info":"⋰*⋻2AA9∼⋰*⋻6461=NaN","layer":3},{"info":"⨰⫟⨤NaN=NaN","layer":2},{"info":"NaN⊉≛↸NaN=NaN","layer":1},{"info":"NaN⫩⊇=NaN","layer":0}]}
{"id":71,"expression_no_base_symbol":"(((↯⪼$1613$)⋝⋈⪟($9323$⨳⩥⨓$4320$))⨓(⇁⨣⪵($2277$⨸⪁$3372$)))⨪↰⇹((↣≠⋷($4128$↙$3078$))⪠⩆⊳)","expression":"(((↯⪼⋰*⋻1237)⋝⋈⪟(⋰*⋻7006⨳⩥⨓⋰*⋻3278))⨓(⇁⨣⪵(⋰*⋻1790⨸⪁⋰*⋻2596)))⨪↰⇹((↣≠⋷(⋰*⋻3113↙⋰*⋻2349))⪠⩆⊳)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3139,"operation_count":10,"complexity_ratio":313.9,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1613,"base":11}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":9323,"base":11},"right_expr":{"type":"numeric_atoms","value":4320,"base":11}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2277,"base":11},"right_expr":{"type":"numeric_atoms","value":3372,"base":11}}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4128,"base":11},"right_expr":{"type":"numeric_atoms","value":3078,"base":11}}}}},"used_operators":["tmPS8pqC7x","3ViojmjbAp","2DDjHMKMc0","8jW3W4yZS5","nCS4ZIUYfx","inkyxCbjAn","g55IO6H4Gj","JLbD19bQDL","Asc51vEJeQ","yyfyN0ffXY"],"dependent_operators":["rJVOvQCfKK","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","B5M0gjZbta","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1613","layer":4},{"info":"compute unary expreesion, input=1613, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"number node, value=9323","layer":4},{"info":"number node, value=4320","layer":4},{"info":"compute binary expreesion, left_input=9323, right_input=4320, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-5003","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-5003, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-21","layer":2},{"info":"number node, value=2277","layer":4},{"info":"number node, value=3372","layer":4},{"info":"compute binary expreesion, left_input=2277, right_input=3372, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=11298","layer":3},{"info":"compute unary expreesion, input=11298, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"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":1},{"info":"number node, value=4128","layer":4},{"info":"number node, value=3078","layer":4},{"info":"compute binary expreesion, left_input=4128, right_input=3078, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-9234","layer":3},{"info":"compute unary expreesion, input=-9234, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', 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 = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((↯⪼⋰*⋻1237)⋝⋈⪟(⋰*⋻7006⨳⩥⨓⋰*⋻3278))⨓(⇁⨣⪵(⋰*⋻1790⨸⪁⋰*⋻2596)))⨪↰⇹((↣≠⋷(⋰*⋻3113↙⋰*⋻2349))⪠⩆⊳)=NaN","reverse_text":"NaN=(((↯⪼⋰*⋻1237)⋝⋈⪟(⋰*⋻7006⨳⩥⨓⋰*⋻3278))⨓(⇁⨣⪵(⋰*⋻1790⨸⪁⋰*⋻2596)))⨪↰⇹((↣≠⋷(⋰*⋻3113↙⋰*⋻2349))⪠⩆⊳)","cot":[{"info":"↯⪼⋰*⋻1237=⋰*⋻-1A","layer":3},{"info":"⋰*⋻7006⨳⩥⨓⋰*⋻3278=⋰*⋻-3839","layer":3},{"info":"⋰*⋻-1A⋝⋈⪟⋰*⋻-3839=⋰*⋻-1A","layer":2},{"info":"⋰*⋻1790⨸⪁⋰*⋻2596=⋰*⋻8541","layer":3},{"info":"⇁⨣⪵⋰*⋻8541=NaN","layer":2},{"info":"⋰*⋻-1A⨓NaN=NaN","layer":1},{"info":"⋰*⋻3113↙⋰*⋻2349=⋰*⋻-6A35","layer":3},{"info":"↣≠⋷⋰*⋻-6A35=NaN","layer":2},{"info":"NaN⪠⩆⊳=NaN","layer":1},{"info":"NaN⨪↰⇹NaN=NaN","layer":0}]}
{"id":72,"expression_no_base_symbol":"((⨑⩽⪐$3527$⋥≓≎$2252$)≋⫹)≹⇙⪍(($3414$+$1748$⫡⨏(⪲⇎$1633$))⪢(⊥(+⊝⨔$1839$)))","expression":"((⨑⩽⪐⋰*⋻2717⋥≓≎⋰*⋻1768)≋⫹)≹⇙⪍((⋰*⋻2624+⋰*⋻134A⫡⨏(⪲⇎⋰*⋻1255))⪢(⊥(+⊝⨔⋰*⋻1422)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":64,"operation_count":10,"complexity_ratio":6.4,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3527,"base":11},"right_expr":{"type":"numeric_atoms","value":2252,"base":11}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3414,"base":11},"right_expr":{"type":"numeric_atoms","value":1748,"base":11}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1633,"base":11}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1839,"base":11}}}}},"used_operators":["AHs5Up7iyr","N41Kp7NANJ","AF7qkfDlqP","Qy55tPpLXF","dWAJyo7jo9","QMFrweE19q","W4YGzv6Whe","XPYlsWDdGa","Q3PJZHRvZv","DhbWaqg5eL"],"dependent_operators":["dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3527","layer":4},{"info":"number node, value=2252","layer":4},{"info":"compute binary expreesion, left_input=3527, right_input=2252, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1010","layer":3},{"info":"compute unary expreesion, input=1010, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-737","layer":2},{"info":"compute unary expreesion, input=-737, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=1474","layer":1},{"info":"number node, value=3414","layer":4},{"info":"number node, value=1748","layer":4},{"info":"compute binary expreesion, left_input=3414, right_input=1748, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5162","layer":3},{"info":"number node, value=1633","layer":4},{"info":"compute unary expreesion, input=1633, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3266","layer":3},{"info":"compute binary expreesion, left_input=5162, right_input=3266, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=33125","layer":2},{"info":"number node, value=1839","layer":4},{"info":"compute unary expreesion, input=1839, 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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=33125, 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=1474, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⨑⩽⪐⋰*⋻2717⋥≓≎⋰*⋻1768)≋⫹)≹⇙⪍((⋰*⋻2624+⋰*⋻134A⫡⨏(⪲⇎⋰*⋻1255))⪢(⊥(+⊝⨔⋰*⋻1422)))=NaN","reverse_text":"NaN=((⨑⩽⪐⋰*⋻2717⋥≓≎⋰*⋻1768)≋⫹)≹⇙⪍((⋰*⋻2624+⋰*⋻134A⫡⨏(⪲⇎⋰*⋻1255))⪢(⊥(+⊝⨔⋰*⋻1422)))","cot":[{"info":"⋰*⋻2717⋥≓≎⋰*⋻1768=⋰*⋻839","layer":3},{"info":"⨑⩽⪐⋰*⋻839=⋰*⋻-610","layer":2},{"info":"⋰*⋻-610≋⫹=⋰*⋻1120","layer":1},{"info":"⋰*⋻2624+⋰*⋻134A=⋰*⋻3973","layer":3},{"info":"⪲⇎⋰*⋻1255=⋰*⋻24AA","layer":3},{"info":"⋰*⋻3973⫡⨏⋰*⋻24AA=⋰*⋻22984","layer":2},{"info":"+⊝⨔⋰*⋻1422=⋰*⋻1164","layer":3},{"info":"⊥⋰*⋻1164=NaN","layer":2},{"info":"⋰*⋻22984⪢NaN=NaN","layer":1},{"info":"⋰*⋻1120≹⇙⪍NaN=NaN","layer":0}]}
{"id":73,"expression_no_base_symbol":"($1583$⨽$4271$⇼⇔∾$2152$⨰$1824$)↺(∥⊫$6777$⩷∴$2323$)⨵⪆(($5782$⨸⪁$1315$)⨽$3918$⋓$7239$/(⫓⪴$3172$)⪢($7862$⨵⪆$4183$))","expression":"(⋰*⋻120A⨽⋰*⋻3233⇼⇔∾⋰*⋻1687⨰⋰*⋻1409)↺(∥⊫⋰*⋻5101⩷∴⋰*⋻1822)⨵⪆((⋰*⋻4387⨸⪁⋰*⋻A96)⨽⋰*⋻2A42⋓⋰*⋻5491/(⫓⪴⋰*⋻2424)⪢(⋰*⋻59A8⨵⪆⋰*⋻3163))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":780768,"operation_count":14,"complexity_ratio":55769.142857142855,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1583,"base":11},"right_expr":{"type":"numeric_atoms","value":4271,"base":11}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2152,"base":11},"right_expr":{"type":"numeric_atoms","value":1824,"base":11}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":6777,"base":11},"right_expr":{"type":"numeric_atoms","value":2323,"base":11}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":5782,"base":11},"right_expr":{"type":"numeric_atoms","value":1315,"base":11}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3918,"base":11},"right_expr":{"type":"numeric_atoms","value":7239,"base":11}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":3172,"base":11}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":7862,"base":11},"right_expr":{"type":"numeric_atoms","value":4183,"base":11}}}}},"used_operators":["2DQ55sFlQl","7j4O788W3g","tifHPKVTfV","8HhzD0ZcuI","eewbuw0ToL","P8v4zCKN1o","9FxExcQeMw","XhwjNDsVaA","g55IO6H4Gj","T2fj7uvVaJ","dWAJyo7jo9","eLxqMNBOBk"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","k8jYdgA6NY","9HNa5Wba9A"],"result":"⋰*⋻136","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1583","layer":4},{"info":"number node, value=4271","layer":4},{"info":"compute binary expreesion, left_input=1583, right_input=4271, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-7529166","layer":3},{"info":"number node, value=2152","layer":4},{"info":"number node, value=1824","layer":4},{"info":"compute binary expreesion, left_input=2152, right_input=1824, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=338","layer":3},{"info":"compute binary expreesion, left_input=-7529166, right_input=338, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=7529504","layer":2},{"info":"number node, value=6777","layer":4},{"info":"number node, value=2323","layer":4},{"info":"compute binary expreesion, left_input=6777, right_input=2323, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=8876","layer":3},{"info":"compute unary expreesion, input=8876, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=9744","layer":2},{"info":"compute binary expreesion, left_input=7529504, right_input=9744, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=9744","layer":1},{"info":"number node, value=5782","layer":4},{"info":"number node, value=1315","layer":4},{"info":"compute binary expreesion, left_input=5782, right_input=1315, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=14194","layer":3},{"info":"number node, value=3918","layer":4},{"info":"number node, value=7239","layer":4},{"info":"compute binary expreesion, left_input=3918, right_input=7239, op_id = T2fj7uvVaJ binary_op_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=14194, right_input=0, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-604407594","layer":2},{"info":"number node, value=3172","layer":4},{"info":"compute unary expreesion, input=3172, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=10061584","layer":3},{"info":"number node, value=7862","layer":4},{"info":"number node, value=4183","layer":4},{"info":"compute binary expreesion, left_input=7862, right_input=4183, 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=10061584, right_input=160, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-604407594, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=9744, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻120A⨽⋰*⋻3233⇼⇔∾⋰*⋻1687⨰⋰*⋻1409)↺(∥⊫⋰*⋻5101⩷∴⋰*⋻1822)⨵⪆((⋰*⋻4387⨸⪁⋰*⋻A96)⨽⋰*⋻2A42⋓⋰*⋻5491/(⫓⪴⋰*⋻2424)⪢(⋰*⋻59A8⨵⪆⋰*⋻3163))=⋰*⋻136","reverse_text":"⋰*⋻136=(⋰*⋻120A⨽⋰*⋻3233⇼⇔∾⋰*⋻1687⨰⋰*⋻1409)↺(∥⊫⋰*⋻5101⩷∴⋰*⋻1822)⨵⪆((⋰*⋻4387⨸⪁⋰*⋻A96)⨽⋰*⋻2A42⋓⋰*⋻5491/(⫓⪴⋰*⋻2424)⪢(⋰*⋻59A8⨵⪆⋰*⋻3163))","cot":[{"info":"⋰*⋻120A⨽⋰*⋻3233=⋰*⋻-4282857","layer":3},{"info":"⋰*⋻1687⨰⋰*⋻1409=⋰*⋻288","layer":3},{"info":"⋰*⋻-4282857⇼⇔∾⋰*⋻288=⋰*⋻4283034","layer":2},{"info":"⋰*⋻5101⩷∴⋰*⋻1822=⋰*⋻673A","layer":3},{"info":"∥⊫⋰*⋻673A=⋰*⋻7359","layer":2},{"info":"⋰*⋻4283034↺⋰*⋻7359=⋰*⋻7359","layer":1},{"info":"⋰*⋻4387⨸⪁⋰*⋻A96=⋰*⋻A734","layer":3},{"info":"⋰*⋻2A42⋓⋰*⋻5491=⋰*⋻0","layer":3},{"info":"⋰*⋻A734⨽⋰*⋻0=⋰*⋻-29019940A","layer":2},{"info":"⫓⪴⋰*⋻2424=⋰*⋻5752465","layer":3},{"info":"⋰*⋻59A8⨵⪆⋰*⋻3163=⋰*⋻136","layer":3},{"info":"⋰*⋻5752465⪢⋰*⋻136=NaN","layer":2},{"info":"⋰*⋻-29019940A/NaN=NaN","layer":1},{"info":"⋰*⋻7359⨵⪆NaN=⋰*⋻136","layer":0}]}
{"id":74,"expression_no_base_symbol":"(($2613$∲⫓$2738$)⨸⪁($1809$-$2226$))⊴($3449$⩷∴$4452$⋷$3349$⋝⋈⪟$1305$)⨟⋌⩍((⋗⩬⋾(⩦⩻⨪$5445$))⫥∨⫟($1954$⋓$1567$)∀⇚≩($2785$↙$1002$))","expression":"((⋰*⋻1A66∲⫓⋰*⋻206A)⨸⪁(⋰*⋻13A5-⋰*⋻1744))⊴(⋰*⋻2656⩷∴⋰*⋻3388⋷⋰*⋻2575⋝⋈⪟⋰*⋻A87)⨟⋌⩍((⋗⩬⋾(⩦⩻⨪⋰*⋻4100))⫥∨⫟(⋰*⋻1517⋓⋰*⋻11A5)∀⇚≩(⋰*⋻2102↙⋰*⋻831))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5561,"operation_count":14,"complexity_ratio":397.2142857142857,"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":2613,"base":11},"right_expr":{"type":"numeric_atoms","value":2738,"base":11}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1809,"base":11},"right_expr":{"type":"numeric_atoms","value":2226,"base":11}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3449,"base":11},"right_expr":{"type":"numeric_atoms","value":4452,"base":11}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3349,"base":11},"right_expr":{"type":"numeric_atoms","value":1305,"base":11}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":5445,"base":11}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1954,"base":11},"right_expr":{"type":"numeric_atoms","value":1567,"base":11}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2785,"base":11},"right_expr":{"type":"numeric_atoms","value":1002,"base":11}}}}},"used_operators":["rGHVDoGpnC","Nsiff2A1zJ","g55IO6H4Gj","i8ToyICDmI","rysDP5nf3Z","23Mk6UjR3U","9FxExcQeMw","2DDjHMKMc0","KYD54nUTWz","DpFCA1CohY","2td37pGCOC","LRNGc0VcxI","T2fj7uvVaJ","yyfyN0ffXY"],"dependent_operators":["Tcnh7f0tEr","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2613","layer":4},{"info":"number node, value=2738","layer":4},{"info":"compute binary expreesion, left_input=2613, right_input=2738, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1809","layer":4},{"info":"number node, value=2226","layer":4},{"info":"compute binary expreesion, left_input=1809, right_input=2226, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-417","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-417, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-834","layer":2},{"info":"number node, value=3449","layer":4},{"info":"number node, value=4452","layer":4},{"info":"compute binary expreesion, left_input=3449, right_input=4452, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2038","layer":3},{"info":"number node, value=3349","layer":4},{"info":"number node, value=1305","layer":4},{"info":"compute binary expreesion, left_input=3349, right_input=1305, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3349","layer":3},{"info":"compute binary expreesion, left_input=-2038, right_input=3349, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=4076","layer":2},{"info":"compute binary expreesion, left_input=-834, right_input=4076, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=5445","layer":4},{"info":"compute unary expreesion, input=5445, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=5445","layer":3},{"info":"compute unary expreesion, input=5445, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-16335","layer":2},{"info":"number node, value=1954","layer":4},{"info":"number node, value=1567","layer":4},{"info":"compute binary expreesion, left_input=1954, 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":"number node, value=2785","layer":4},{"info":"number node, value=1002","layer":4},{"info":"compute binary expreesion, left_input=2785, right_input=1002, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3006","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-3006, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=-3006","layer":2},{"info":"compute binary expreesion, left_input=-16335, right_input=-3006, 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 = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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":11,"result_base":11,"text":"((⋰*⋻1A66∲⫓⋰*⋻206A)⨸⪁(⋰*⋻13A5-⋰*⋻1744))⊴(⋰*⋻2656⩷∴⋰*⋻3388⋷⋰*⋻2575⋝⋈⪟⋰*⋻A87)⨟⋌⩍((⋗⩬⋾(⩦⩻⨪⋰*⋻4100))⫥∨⫟(⋰*⋻1517⋓⋰*⋻11A5)∀⇚≩(⋰*⋻2102↙⋰*⋻831))=NaN","reverse_text":"NaN=((⋰*⋻1A66∲⫓⋰*⋻206A)⨸⪁(⋰*⋻13A5-⋰*⋻1744))⊴(⋰*⋻2656⩷∴⋰*⋻3388⋷⋰*⋻2575⋝⋈⪟⋰*⋻A87)⨟⋌⩍((⋗⩬⋾(⩦⩻⨪⋰*⋻4100))⫥∨⫟(⋰*⋻1517⋓⋰*⋻11A5)∀⇚≩(⋰*⋻2102↙⋰*⋻831))","cot":[{"info":"⋰*⋻1A66∲⫓⋰*⋻206A=⋰*⋻0","layer":3},{"info":"⋰*⋻13A5-⋰*⋻1744=⋰*⋻-34A","layer":3},{"info":"⋰*⋻0⨸⪁⋰*⋻-34A=⋰*⋻-699","layer":2},{"info":"⋰*⋻2656⩷∴⋰*⋻3388=⋰*⋻-1593","layer":3},{"info":"⋰*⋻2575⋝⋈⪟⋰*⋻A87=⋰*⋻2575","layer":3},{"info":"⋰*⋻-1593⋷⋰*⋻2575=⋰*⋻3076","layer":2},{"info":"⋰*⋻-699⊴⋰*⋻3076=NaN","layer":1},{"info":"⩦⩻⨪⋰*⋻4100=⋰*⋻4100","layer":3},{"info":"⋗⩬⋾⋰*⋻4100=⋰*⋻-11300","layer":2},{"info":"⋰*⋻1517⋓⋰*⋻11A5=⋰*⋻0","layer":3},{"info":"⋰*⋻2102↙⋰*⋻831=⋰*⋻-2293","layer":3},{"info":"⋰*⋻0∀⇚≩⋰*⋻-2293=⋰*⋻-2293","layer":2},{"info":"⋰*⋻-11300⫥∨⫟⋰*⋻-2293=NaN","layer":1},{"info":"NaN⨟⋌⩍NaN=NaN","layer":0}]}
{"id":75,"expression_no_base_symbol":"(∂$3734$≹⇙⪍$1667$)⫡⨏($1234$∲⫓$7338$)⨽(⨞⊢$4917$)/((⨵≀≌$1711$)⪄($4367$⫡⨏$2405$))⋥≓≎(⪝⪂⫅($1130$⨳⩥⨓$1975$))","expression":"(∂⋰*⋻2895≹⇙⪍⋰*⋻1286)⫡⨏(⋰*⋻A22∲⫓⋰*⋻5571)⨽(⨞⊢⋰*⋻3770)/((⨵≀≌⋰*⋻1316)⪄(⋰*⋻3310⫡⨏⋰*⋻1897))⋥≓≎(⪝⪂⫅(⋰*⋻938⨳⩥⨓⋰*⋻1536))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":284,"operation_count":13,"complexity_ratio":21.846153846153847,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3734,"base":11},"right_expr":{"type":"numeric_atoms","value":1667,"base":11}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1234,"base":11},"right_expr":{"type":"numeric_atoms","value":7338,"base":11}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":4917,"base":11}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1711,"base":11}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4367,"base":11},"right_expr":{"type":"numeric_atoms","value":2405,"base":11}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1130,"base":11},"right_expr":{"type":"numeric_atoms","value":1975,"base":11}}}}},"used_operators":["XhwjNDsVaA","QMFrweE19q","Uaa54Peajs","AHs5Up7iyr","8HhzD0ZcuI","i8ToyICDmI","xUOZtlo3hN","Qy55tPpLXF","SUmda5xLS4","srAu1WTS94","XTarYq4gQB","nCS4ZIUYfx"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","dWAJyo7jo9","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3734","layer":4},{"info":"number node, value=1667","layer":4},{"info":"compute binary expreesion, left_input=3734, right_input=1667, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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 = 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=1234","layer":4},{"info":"number node, value=7338","layer":4},{"info":"compute binary expreesion, left_input=1234, right_input=7338, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=4917","layer":4},{"info":"compute unary expreesion, input=4917, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-5091","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-5091, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=16587","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=16587, op_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=1711","layer":4},{"info":"compute unary expreesion, input=1711, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-5133","layer":3},{"info":"number node, value=4367","layer":4},{"info":"number node, value=2405","layer":4},{"info":"compute binary expreesion, left_input=4367, right_input=2405, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=27428","layer":3},{"info":"compute binary expreesion, left_input=-5133, right_input=27428, 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=1130","layer":4},{"info":"number node, value=1975","layer":4},{"info":"compute binary expreesion, left_input=1130, right_input=1975, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=845","layer":3},{"info":"compute unary expreesion, input=845, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-124215","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=-124215, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-252376","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-252376, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"(∂⋰*⋻2895≹⇙⪍⋰*⋻1286)⫡⨏(⋰*⋻A22∲⫓⋰*⋻5571)⨽(⨞⊢⋰*⋻3770)/((⨵≀≌⋰*⋻1316)⪄(⋰*⋻3310⫡⨏⋰*⋻1897))⋥≓≎(⪝⪂⫅(⋰*⋻938⨳⩥⨓⋰*⋻1536))=NaN","reverse_text":"NaN=(∂⋰*⋻2895≹⇙⪍⋰*⋻1286)⫡⨏(⋰*⋻A22∲⫓⋰*⋻5571)⨽(⨞⊢⋰*⋻3770)/((⨵≀≌⋰*⋻1316)⪄(⋰*⋻3310⫡⨏⋰*⋻1897))⋥≓≎(⪝⪂⫅(⋰*⋻938⨳⩥⨓⋰*⋻1536))","cot":[{"info":"⋰*⋻2895≹⇙⪍⋰*⋻1286=NaN","layer":3},{"info":"∂NaN=NaN","layer":2},{"info":"⋰*⋻A22∲⫓⋰*⋻5571=⋰*⋻0","layer":3},{"info":"⨞⊢⋰*⋻3770=⋰*⋻-3909","layer":3},{"info":"⋰*⋻0⨽⋰*⋻-3909=⋰*⋻1150A","layer":2},{"info":"NaN⫡⨏⋰*⋻1150A=NaN","layer":1},{"info":"⨵≀≌⋰*⋻1316=⋰*⋻-3947","layer":3},{"info":"⋰*⋻3310⫡⨏⋰*⋻1897=⋰*⋻19675","layer":3},{"info":"⋰*⋻-3947⪄⋰*⋻19675=⋰*⋻2A98","layer":2},{"info":"⋰*⋻938⨳⩥⨓⋰*⋻1536=⋰*⋻6A9","layer":3},{"info":"⪝⪂⫅⋰*⋻6A9=⋰*⋻-85363","layer":2},{"info":"⋰*⋻2A98⋥≓≎⋰*⋻-85363=⋰*⋻-162683","layer":1},{"info":"NaN/⋰*⋻-162683=NaN","layer":0}]}
{"id":76,"expression_no_base_symbol":"(⩦⩻⨪($1097$⋝⋈⪟$3779$)∀⇚≩($1952$≎⊠⪸$4737$))⪛(($4415$⩚⊴⇥$3899$⪨≂(∥⊫$3523$))⩨((↔$4032$)⨸⪁$6296$⋳⪒$3451$))","expression":"(⩦⩻⨪(⋰*⋻908⋝⋈⪟⋰*⋻2926)∀⇚≩(⋰*⋻1515≎⊠⪸⋰*⋻3617))⪛((⋰*⋻3354⩚⊴⇥⋰*⋻2A25⪨≂(∥⊫⋰*⋻2713))⩨((↔⋰*⋻3036)⨸⪁⋰*⋻4804⋳⪒⋰*⋻2658))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":7992,"operation_count":12,"complexity_ratio":666.0,"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":1097,"base":11},"right_expr":{"type":"numeric_atoms","value":3779,"base":11}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1952,"base":11},"right_expr":{"type":"numeric_atoms","value":4737,"base":11}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4415,"base":11},"right_expr":{"type":"numeric_atoms","value":3899,"base":11}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":3523,"base":11}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":4032,"base":11}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":6296,"base":11},"right_expr":{"type":"numeric_atoms","value":3451,"base":11}}}}},"used_operators":["uFcxV4UQCh","2td37pGCOC","LRNGc0VcxI","2DDjHMKMc0","bJkvcejdHO","2DlMacCsIx","sdazOOVcIp","NTOWxs364D","P8v4zCKN1o","g55IO6H4Gj","ruOEQAzv1W","12rbrZMWeM"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1097","layer":4},{"info":"number node, value=3779","layer":4},{"info":"compute binary expreesion, left_input=1097, right_input=3779, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1097","layer":3},{"info":"number node, value=1952","layer":4},{"info":"number node, value=4737","layer":4},{"info":"compute binary expreesion, left_input=1952, right_input=4737, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=505095","layer":3},{"info":"compute binary expreesion, left_input=1097, right_input=505095, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":1},{"info":"number node, value=4415","layer":4},{"info":"number node, value=3899","layer":4},{"info":"compute binary expreesion, left_input=4415, right_input=3899, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8435","layer":3},{"info":"number node, value=3523","layer":4},{"info":"compute unary expreesion, input=3523, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4391","layer":3},{"info":"compute binary expreesion, left_input=-8435, right_input=4391, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-25550","layer":2},{"info":"number node, value=4032","layer":4},{"info":"compute unary expreesion, input=4032, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3759","layer":3},{"info":"number node, value=6296","layer":4},{"info":"number node, value=3451","layer":4},{"info":"compute binary expreesion, left_input=6296, right_input=3451, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=8854","layer":3},{"info":"compute binary expreesion, left_input=-3759, right_input=8854, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10190","layer":2},{"info":"compute binary expreesion, left_input=-25550, right_input=10190, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=3","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⩦⩻⨪(⋰*⋻908⋝⋈⪟⋰*⋻2926)∀⇚≩(⋰*⋻1515≎⊠⪸⋰*⋻3617))⪛((⋰*⋻3354⩚⊴⇥⋰*⋻2A25⪨≂(∥⊫⋰*⋻2713))⩨((↔⋰*⋻3036)⨸⪁⋰*⋻4804⋳⪒⋰*⋻2658))=NaN","reverse_text":"NaN=(⩦⩻⨪(⋰*⋻908⋝⋈⪟⋰*⋻2926)∀⇚≩(⋰*⋻1515≎⊠⪸⋰*⋻3617))⪛((⋰*⋻3354⩚⊴⇥⋰*⋻2A25⪨≂(∥⊫⋰*⋻2713))⩨((↔⋰*⋻3036)⨸⪁⋰*⋻4804⋳⪒⋰*⋻2658))","cot":[{"info":"⋰*⋻908⋝⋈⪟⋰*⋻2926=⋰*⋻908","layer":3},{"info":"⋰*⋻1515≎⊠⪸⋰*⋻3617=⋰*⋻315538","layer":3},{"info":"⋰*⋻908∀⇚≩⋰*⋻315538=NaN","layer":2},{"info":"⩦⩻⨪NaN=NaN","layer":1},{"info":"⋰*⋻3354⩚⊴⇥⋰*⋻2A25=⋰*⋻-6379","layer":3},{"info":"∥⊫⋰*⋻2713=⋰*⋻3332","layer":3},{"info":"⋰*⋻-6379⪨≂⋰*⋻3332=⋰*⋻-18218","layer":2},{"info":"↔⋰*⋻3036=⋰*⋻-2908","layer":3},{"info":"⋰*⋻4804⋳⪒⋰*⋻2658=⋰*⋻671A","layer":3},{"info":"⋰*⋻-2908⨸⪁⋰*⋻671A=⋰*⋻7724","layer":2},{"info":"⋰*⋻-18218⩨⋰*⋻7724=⋰*⋻3","layer":1},{"info":"NaN⪛⋰*⋻3=NaN","layer":0}]}
{"id":77,"expression_no_base_symbol":"(⫛⫱⨽($5407$↬$2965$))∑⇟⊟(+⊝⨔$1507$)⇷(≤/$4732$)⋫","expression":"(⫛⫱⨽(⋰*⋻4076↬⋰*⋻2256))∑⇟⊟(+⊝⨔⋰*⋻1150)⇷(≤/⋰*⋻3612)⋫","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":22272,"operation_count":7,"complexity_ratio":3181.714285714286,"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":5407,"base":11},"right_expr":{"type":"numeric_atoms","value":2965,"base":11}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1507,"base":11}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":4732,"base":11}}}}},"used_operators":["JL8yIekQnl","U7g4x0WXJJ","DlLNRPXxWL","B5M0gjZbta","mp7IySMOzn","DhbWaqg5eL","eLAdDNolq6"],"dependent_operators":["tmPS8pqC7x","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rGHVDoGpnC","rGHVDoGpnC","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5407","layer":4},{"info":"number node, value=2965","layer":4},{"info":"compute binary expreesion, left_input=5407, right_input=2965, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":2},{"info":"number node, value=1507","layer":4},{"info":"compute unary expreesion, input=1507, 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=4732","layer":4},{"info":"compute unary expreesion, input=4732, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-4248","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=-4248, 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 = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⫛⫱⨽(⋰*⋻4076↬⋰*⋻2256))∑⇟⊟(+⊝⨔⋰*⋻1150)⇷(≤/⋰*⋻3612)⋫=NaN","reverse_text":"NaN=(⫛⫱⨽(⋰*⋻4076↬⋰*⋻2256))∑⇟⊟(+⊝⨔⋰*⋻1150)⇷(≤/⋰*⋻3612)⋫","cot":[{"info":"⋰*⋻4076↬⋰*⋻2256=NaN","layer":3},{"info":"⫛⫱⨽NaN=NaN","layer":2},{"info":"+⊝⨔⋰*⋻1150=⋰*⋻1164","layer":3},{"info":"≤/⋰*⋻3612=⋰*⋻-3212","layer":3},{"info":"⋰*⋻1164⇷⋰*⋻-3212=NaN","layer":2},{"info":"NaN∑⇟⊟NaN=NaN","layer":1},{"info":"NaN⋫=NaN","layer":0}]}
{"id":78,"expression_no_base_symbol":"(((⫛⫱⨽$2405$)↺($1003$⇼⇔∾$2863$))⨰(($4866$⨁⊸⫻)⩨$6234$↬$4529$))⪮%⊝((-$5730$⋝⋈⪟$1357$)↬($1606$⋝⋈⪟$1038$*$1587$↬$2912$))","expression":"(((⫛⫱⨽⋰*⋻1897)↺(⋰*⋻832⇼⇔∾⋰*⋻2173))⨰((⋰*⋻3724⨁⊸⫻)⩨⋰*⋻4758↬⋰*⋻3448))⪮%⊝((-⋰*⋻433A⋝⋈⪟⋰*⋻1024)↬(⋰*⋻1230⋝⋈⪟⋰*⋻864*⋰*⋻1213↬⋰*⋻2208))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1457,"operation_count":14,"complexity_ratio":104.07142857142857,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2405,"base":11}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1003,"base":11},"right_expr":{"type":"numeric_atoms","value":2863,"base":11}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":4866,"base":11}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":6234,"base":11},"right_expr":{"type":"numeric_atoms","value":4529,"base":11}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":5730,"base":11},"right_expr":{"type":"numeric_atoms","value":1357,"base":11}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1606,"base":11},"right_expr":{"type":"numeric_atoms","value":1038,"base":11}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1587,"base":11},"right_expr":{"type":"numeric_atoms","value":2912,"base":11}}}}},"used_operators":["IWmyXbctLI","eewbuw0ToL","7j4O788W3g","DlLNRPXxWL","tifHPKVTfV","2DlMacCsIx","glklzrTFfD","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","9HNa5Wba9A"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2405","layer":4},{"info":"compute unary expreesion, input=2405, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=1003","layer":4},{"info":"number node, value=2863","layer":4},{"info":"compute binary expreesion, left_input=1003, right_input=2863, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1860","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1860, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1860","layer":2},{"info":"number node, value=4866","layer":4},{"info":"compute unary expreesion, input=4866, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=4866","layer":3},{"info":"number node, value=6234","layer":4},{"info":"number node, value=4529","layer":4},{"info":"compute binary expreesion, left_input=6234, right_input=4529, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=4866, 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=1860, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"number node, value=5730","layer":4},{"info":"number node, value=1357","layer":4},{"info":"compute binary expreesion, left_input=5730, right_input=1357, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5730","layer":3},{"info":"compute unary expreesion, input=5730, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-5730","layer":2},{"info":"number node, value=1606","layer":4},{"info":"number node, value=1038","layer":4},{"info":"compute binary expreesion, left_input=1606, right_input=1038, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1606","layer":3},{"info":"number node, value=1587","layer":4},{"info":"number node, value=2912","layer":4},{"info":"compute binary expreesion, left_input=1587, right_input=2912, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1606, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-5730, 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 = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((⫛⫱⨽⋰*⋻1897)↺(⋰*⋻832⇼⇔∾⋰*⋻2173))⨰((⋰*⋻3724⨁⊸⫻)⩨⋰*⋻4758↬⋰*⋻3448))⪮%⊝((-⋰*⋻433A⋝⋈⪟⋰*⋻1024)↬(⋰*⋻1230⋝⋈⪟⋰*⋻864*⋰*⋻1213↬⋰*⋻2208))=NaN","reverse_text":"NaN=(((⫛⫱⨽⋰*⋻1897)↺(⋰*⋻832⇼⇔∾⋰*⋻2173))⨰((⋰*⋻3724⨁⊸⫻)⩨⋰*⋻4758↬⋰*⋻3448))⪮%⊝((-⋰*⋻433A⋝⋈⪟⋰*⋻1024)↬(⋰*⋻1230⋝⋈⪟⋰*⋻864*⋰*⋻1213↬⋰*⋻2208))","cot":[{"info":"⫛⫱⨽⋰*⋻1897=⋰*⋻0","layer":3},{"info":"⋰*⋻832⇼⇔∾⋰*⋻2173=⋰*⋻1441","layer":3},{"info":"⋰*⋻0↺⋰*⋻1441=⋰*⋻1441","layer":2},{"info":"⋰*⋻3724⨁⊸⫻=⋰*⋻3724","layer":3},{"info":"⋰*⋻4758↬⋰*⋻3448=NaN","layer":3},{"info":"⋰*⋻3724⩨NaN=NaN","layer":2},{"info":"⋰*⋻1441⨰NaN=NaN","layer":1},{"info":"⋰*⋻433A⋝⋈⪟⋰*⋻1024=⋰*⋻433A","layer":3},{"info":"-⋰*⋻433A=⋰*⋻-433A","layer":2},{"info":"⋰*⋻1230⋝⋈⪟⋰*⋻864=⋰*⋻1230","layer":3},{"info":"⋰*⋻1213↬⋰*⋻2208=NaN","layer":3},{"info":"⋰*⋻1230*NaN=NaN","layer":2},{"info":"⋰*⋻-433A↬NaN=NaN","layer":1},{"info":"NaN⪮%⊝NaN=NaN","layer":0}]}
{"id":79,"expression_no_base_symbol":"($1924$/$1591$)⋝⋈⪟$2743$⨓$1385$⩷∴((↯⪼$4476$)⨸⪁$1450$⪛$3685$)*((↯⪼$1190$)≣⋋)≹⇙⪍((⋗⩬⋾$1447$)⪮%⊝($2716$∀⇚≩$3733$))","expression":"(⋰*⋻149A/⋰*⋻1217)⋝⋈⪟⋰*⋻2074⨓⋰*⋻104A⩷∴((↯⪼⋰*⋻33AA)⨸⪁⋰*⋻10A9⪛⋰*⋻2850)*((↯⪼⋰*⋻992)≣⋋)≹⇙⪍((⋗⩬⋾⋰*⋻10A6)⪮%⊝(⋰*⋻204A∀⇚≩⋰*⋻2894))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":20520,"operation_count":14,"complexity_ratio":1465.7142857142858,"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":1924,"base":11},"right_expr":{"type":"numeric_atoms","value":1591,"base":11}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2743,"base":11},"right_expr":{"type":"numeric_atoms","value":1385,"base":11}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":4476,"base":11}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1450,"base":11},"right_expr":{"type":"numeric_atoms","value":3685,"base":11}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1190,"base":11}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1447,"base":11}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2716,"base":11},"right_expr":{"type":"numeric_atoms","value":3733,"base":11}}}}},"used_operators":["9HNa5Wba9A","9FxExcQeMw","2DDjHMKMc0","XhwjNDsVaA","3ViojmjbAp","g55IO6H4Gj","8jW3W4yZS5","uFcxV4UQCh","AHs5Up7iyr","Tcnh7f0tEr","IWmyXbctLI","DpFCA1CohY","LRNGc0VcxI"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1924","layer":4},{"info":"number node, value=1591","layer":4},{"info":"compute binary expreesion, left_input=1924, right_input=1591, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"number node, value=2743","layer":4},{"info":"number node, value=1385","layer":4},{"info":"compute binary expreesion, left_input=2743, right_input=1385, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1388","layer":3},{"info":"compute binary expreesion, left_input=1, right_input=-1388, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1","layer":2},{"info":"number node, value=4476","layer":4},{"info":"compute unary expreesion, input=4476, 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=1450","layer":4},{"info":"number node, value=3685","layer":4},{"info":"compute binary expreesion, left_input=1450, right_input=3685, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1450","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=1450, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=2858","layer":2},{"info":"compute binary expreesion, left_input=1, right_input=2858, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-5746","layer":1},{"info":"number node, value=1190","layer":4},{"info":"compute unary expreesion, input=1190, 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 = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":2},{"info":"number node, value=1447","layer":4},{"info":"compute unary expreesion, input=1447, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-4341","layer":3},{"info":"number node, value=2716","layer":4},{"info":"number node, value=3733","layer":4},{"info":"compute binary expreesion, left_input=2716, right_input=3733, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=-4341, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-5746, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻149A/⋰*⋻1217)⋝⋈⪟⋰*⋻2074⨓⋰*⋻104A⩷∴((↯⪼⋰*⋻33AA)⨸⪁⋰*⋻10A9⪛⋰*⋻2850)*((↯⪼⋰*⋻992)≣⋋)≹⇙⪍((⋗⩬⋾⋰*⋻10A6)⪮%⊝(⋰*⋻204A∀⇚≩⋰*⋻2894))=NaN","reverse_text":"NaN=(⋰*⋻149A/⋰*⋻1217)⋝⋈⪟⋰*⋻2074⨓⋰*⋻104A⩷∴((↯⪼⋰*⋻33AA)⨸⪁⋰*⋻10A9⪛⋰*⋻2850)*((↯⪼⋰*⋻992)≣⋋)≹⇙⪍((⋗⩬⋾⋰*⋻10A6)⪮%⊝(⋰*⋻204A∀⇚≩⋰*⋻2894))","cot":[{"info":"⋰*⋻149A/⋰*⋻1217=⋰*⋻1","layer":3},{"info":"⋰*⋻2074⨓⋰*⋻104A=⋰*⋻-1052","layer":3},{"info":"⋰*⋻1⋝⋈⪟⋰*⋻-1052=⋰*⋻1","layer":2},{"info":"↯⪼⋰*⋻33AA=⋰*⋻-1A","layer":3},{"info":"⋰*⋻10A9⪛⋰*⋻2850=⋰*⋻10A9","layer":3},{"info":"⋰*⋻-1A⨸⪁⋰*⋻10A9=⋰*⋻2169","layer":2},{"info":"⋰*⋻1⩷∴⋰*⋻2169=⋰*⋻-4354","layer":1},{"info":"↯⪼⋰*⋻992=⋰*⋻-1A","layer":3},{"info":"⋰*⋻-1A≣⋋=⋰*⋻0","layer":2},{"info":"⋗⩬⋾⋰*⋻10A6=⋰*⋻-3297","layer":3},{"info":"⋰*⋻204A∀⇚≩⋰*⋻2894=NaN","layer":3},{"info":"⋰*⋻-3297⪮%⊝NaN=NaN","layer":2},{"info":"⋰*⋻0≹⇙⪍NaN=NaN","layer":1},{"info":"⋰*⋻-4354*NaN=NaN","layer":0}]}
{"id":80,"expression_no_base_symbol":"($4349$⪢$3752$⨁⊸⫻)↬((⊥$2058$)⨸⪁$3563$⪢$1041$)⩷∴(($4286$⨎$1011$⫥∨⫟($1032$⊭↱$3391$))⩷∴($1458$⨳⩥⨓$2679$⩨$2471$∀⇚≩$1618$))","expression":"(⋰*⋻32A4⪢⋰*⋻2901⨁⊸⫻)↬((⊥⋰*⋻1601)⨸⪁⋰*⋻274A⪢⋰*⋻867)⩷∴((⋰*⋻3247⨎⋰*⋻83A⫥∨⫟(⋰*⋻859⊭↱⋰*⋻2603))⩷∴(⋰*⋻1106⨳⩥⨓⋰*⋻2016⩨⋰*⋻1947∀⇚≩⋰*⋻1241))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":36438,"operation_count":14,"complexity_ratio":2602.714285714286,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4349,"base":11},"right_expr":{"type":"numeric_atoms","value":3752,"base":11}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":2058,"base":11}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3563,"base":11},"right_expr":{"type":"numeric_atoms","value":1041,"base":11}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4286,"base":11},"right_expr":{"type":"numeric_atoms","value":1011,"base":11}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1032,"base":11},"right_expr":{"type":"numeric_atoms","value":3391,"base":11}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1458,"base":11},"right_expr":{"type":"numeric_atoms","value":2679,"base":11}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2471,"base":11},"right_expr":{"type":"numeric_atoms","value":1618,"base":11}}}}},"used_operators":["9FxExcQeMw","B5M0gjZbta","glklzrTFfD","dWAJyo7jo9","g55IO6H4Gj","Q3PJZHRvZv","KYD54nUTWz","rJVOvQCfKK","COABgblf1C","2DlMacCsIx","nCS4ZIUYfx","LRNGc0VcxI"],"dependent_operators":["rysDP5nf3Z","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","k8jYdgA6NY","W4YGzv6Whe","fu6greOZ01","8HhzD0ZcuI","rGHVDoGpnC","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=4349","layer":4},{"info":"number node, value=3752","layer":4},{"info":"compute binary expreesion, left_input=4349, right_input=3752, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=nan","layer":2},{"info":"number node, value=2058","layer":4},{"info":"compute unary expreesion, input=2058, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=3563","layer":4},{"info":"number node, value=1041","layer":4},{"info":"compute binary expreesion, left_input=3563, right_input=1041, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=4286","layer":4},{"info":"number node, value=1011","layer":4},{"info":"compute binary expreesion, left_input=4286, right_input=1011, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1011","layer":3},{"info":"number node, value=1032","layer":4},{"info":"number node, value=3391","layer":4},{"info":"compute binary expreesion, left_input=1032, right_input=3391, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=4723","layer":3},{"info":"compute binary expreesion, left_input=1011, right_input=4723, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1458","layer":4},{"info":"number node, value=2679","layer":4},{"info":"compute binary expreesion, left_input=1458, right_input=2679, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1221","layer":3},{"info":"number node, value=2471","layer":4},{"info":"number node, value=1618","layer":4},{"info":"compute binary expreesion, left_input=2471, right_input=1618, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1221, 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=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 = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻32A4⪢⋰*⋻2901⨁⊸⫻)↬((⊥⋰*⋻1601)⨸⪁⋰*⋻274A⪢⋰*⋻867)⩷∴((⋰*⋻3247⨎⋰*⋻83A⫥∨⫟(⋰*⋻859⊭↱⋰*⋻2603))⩷∴(⋰*⋻1106⨳⩥⨓⋰*⋻2016⩨⋰*⋻1947∀⇚≩⋰*⋻1241))=NaN","reverse_text":"NaN=(⋰*⋻32A4⪢⋰*⋻2901⨁⊸⫻)↬((⊥⋰*⋻1601)⨸⪁⋰*⋻274A⪢⋰*⋻867)⩷∴((⋰*⋻3247⨎⋰*⋻83A⫥∨⫟(⋰*⋻859⊭↱⋰*⋻2603))⩷∴(⋰*⋻1106⨳⩥⨓⋰*⋻2016⩨⋰*⋻1947∀⇚≩⋰*⋻1241))","cot":[{"info":"⋰*⋻32A4⪢⋰*⋻2901=NaN","layer":3},{"info":"NaN⨁⊸⫻=NaN","layer":2},{"info":"⊥⋰*⋻1601=NaN","layer":3},{"info":"⋰*⋻274A⪢⋰*⋻867=NaN","layer":3},{"info":"NaN⨸⪁NaN=NaN","layer":2},{"info":"NaN↬NaN=NaN","layer":1},{"info":"⋰*⋻3247⨎⋰*⋻83A=⋰*⋻83A","layer":3},{"info":"⋰*⋻859⊭↱⋰*⋻2603=⋰*⋻3604","layer":3},{"info":"⋰*⋻83A⫥∨⫟⋰*⋻3604=NaN","layer":2},{"info":"⋰*⋻1106⨳⩥⨓⋰*⋻2016=⋰*⋻A10","layer":3},{"info":"⋰*⋻1947∀⇚≩⋰*⋻1241=NaN","layer":3},{"info":"⋰*⋻A10⩨NaN=NaN","layer":2},{"info":"NaN⩷∴NaN=NaN","layer":1},{"info":"NaN⩷∴NaN=NaN","layer":0}]}
{"id":81,"expression_no_base_symbol":"$3209$⪛$2288$∼($1044$⫥∨⫟$5244$)⨓(↯⪼(⩦⩻⨪$6020$))↺($1082$+$2749$)⨰$1333$⪛$3097$⨰($6545$-$4472$)∼($2710$⊉≛↸$3656$)","expression":"⋰*⋻2458⪛⋰*⋻17A0∼(⋰*⋻86A⫥∨⫟⋰*⋻3A38)⨓(↯⪼(⩦⩻⨪⋰*⋻4583))↺(⋰*⋻8A4+⋰*⋻207A)⨰⋰*⋻1002⪛⋰*⋻2366⨰(⋰*⋻4A10-⋰*⋻33A6)∼(⋰*⋻2044⊉≛↸⋰*⋻2824)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":303,"operation_count":14,"complexity_ratio":21.642857142857142,"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":3209,"base":11},"right_expr":{"type":"numeric_atoms","value":2288,"base":11}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1044,"base":11},"right_expr":{"type":"numeric_atoms","value":5244,"base":11}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":6020,"base":11}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1082,"base":11},"right_expr":{"type":"numeric_atoms","value":2749,"base":11}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1333,"base":11},"right_expr":{"type":"numeric_atoms","value":3097,"base":11}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":6545,"base":11},"right_expr":{"type":"numeric_atoms","value":4472,"base":11}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2710,"base":11},"right_expr":{"type":"numeric_atoms","value":3656,"base":11}}}}},"used_operators":["7j4O788W3g","3ViojmjbAp","DyGG3AbaNP","uFcxV4UQCh","KYD54nUTWz","8jW3W4yZS5","2td37pGCOC","eewbuw0ToL","W4YGzv6Whe","rysDP5nf3Z","DZ8iAZOCBD"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","8HhzD0ZcuI","rGHVDoGpnC","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=3209","layer":4},{"info":"number node, value=2288","layer":4},{"info":"compute binary expreesion, left_input=3209, right_input=2288, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=921","layer":3},{"info":"number node, value=1044","layer":4},{"info":"number node, value=5244","layer":4},{"info":"compute binary expreesion, left_input=1044, right_input=5244, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=921, 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=6020","layer":4},{"info":"compute unary expreesion, input=6020, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=6020","layer":3},{"info":"compute unary expreesion, input=6020, 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 = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-24","layer":1},{"info":"number node, value=1082","layer":4},{"info":"number node, value=2749","layer":4},{"info":"compute binary expreesion, left_input=1082, right_input=2749, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3831","layer":3},{"info":"number node, value=1333","layer":4},{"info":"number node, value=3097","layer":4},{"info":"compute binary expreesion, left_input=1333, right_input=3097, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1333","layer":3},{"info":"compute binary expreesion, left_input=3831, right_input=1333, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2508","layer":2},{"info":"number node, value=6545","layer":4},{"info":"number node, value=4472","layer":4},{"info":"compute binary expreesion, left_input=6545, right_input=4472, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2073","layer":3},{"info":"number node, value=2710","layer":4},{"info":"number node, value=3656","layer":4},{"info":"compute binary expreesion, left_input=2710, right_input=3656, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5420","layer":3},{"info":"compute binary expreesion, left_input=2073, right_input=5420, 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=2508, 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=-24, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⋰*⋻2458⪛⋰*⋻17A0∼(⋰*⋻86A⫥∨⫟⋰*⋻3A38)⨓(↯⪼(⩦⩻⨪⋰*⋻4583))↺(⋰*⋻8A4+⋰*⋻207A)⨰⋰*⋻1002⪛⋰*⋻2366⨰(⋰*⋻4A10-⋰*⋻33A6)∼(⋰*⋻2044⊉≛↸⋰*⋻2824)=NaN","reverse_text":"NaN=⋰*⋻2458⪛⋰*⋻17A0∼(⋰*⋻86A⫥∨⫟⋰*⋻3A38)⨓(↯⪼(⩦⩻⨪⋰*⋻4583))↺(⋰*⋻8A4+⋰*⋻207A)⨰⋰*⋻1002⪛⋰*⋻2366⨰(⋰*⋻4A10-⋰*⋻33A6)∼(⋰*⋻2044⊉≛↸⋰*⋻2824)","cot":[{"info":"⋰*⋻2458⪛⋰*⋻17A0=⋰*⋻768","layer":3},{"info":"⋰*⋻86A⫥∨⫟⋰*⋻3A38=NaN","layer":3},{"info":"⋰*⋻768∼NaN=NaN","layer":2},{"info":"⩦⩻⨪⋰*⋻4583=⋰*⋻4583","layer":3},{"info":"↯⪼⋰*⋻4583=⋰*⋻-1A","layer":2},{"info":"NaN⨓⋰*⋻-1A=⋰*⋻-22","layer":1},{"info":"⋰*⋻8A4+⋰*⋻207A=⋰*⋻2973","layer":3},{"info":"⋰*⋻1002⪛⋰*⋻2366=⋰*⋻1002","layer":3},{"info":"⋰*⋻2973⨰⋰*⋻1002=⋰*⋻1980","layer":2},{"info":"⋰*⋻4A10-⋰*⋻33A6=⋰*⋻1615","layer":3},{"info":"⋰*⋻2044⊉≛↸⋰*⋻2824=⋰*⋻4088","layer":3},{"info":"⋰*⋻1615∼⋰*⋻4088=NaN","layer":2},{"info":"⋰*⋻1980⨰NaN=NaN","layer":1},{"info":"⋰*⋻-22↺NaN=NaN","layer":0}]}
{"id":82,"expression_no_base_symbol":"($5211$⫌⩹⨱)⨎(⫛⫱⨽$6432$)⨎(($2774$⊭↱$2793$)⨐⩸⫘$3613$⪢$1089$)≣⋋","expression":"(⋰*⋻3A08⫌⩹⨱)⨎(⫛⫱⨽⋰*⋻4918)⨎((⋰*⋻20A2⊭↱⋰*⋻210A)⨐⩸⫘⋰*⋻2795⪢⋰*⋻900)≣⋋","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":8224,"operation_count":8,"complexity_ratio":1028.0,"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":5211,"base":11}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":6432,"base":11}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2774,"base":11},"right_expr":{"type":"numeric_atoms","value":2793,"base":11}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3613,"base":11},"right_expr":{"type":"numeric_atoms","value":1089,"base":11}}}}},"used_operators":["Tcnh7f0tEr","rJVOvQCfKK","EBcxylXtPf","DlLNRPXxWL","fu6greOZ01","COABgblf1C","dWAJyo7jo9"],"dependent_operators":["dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=5211","layer":4},{"info":"compute unary expreesion, input=5211, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=11823","layer":3},{"info":"number node, value=6432","layer":4},{"info":"compute unary expreesion, input=6432, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=11823, 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=2774","layer":4},{"info":"number node, value=2793","layer":4},{"info":"compute binary expreesion, left_input=2774, right_input=2793, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=43","layer":3},{"info":"number node, value=3613","layer":4},{"info":"number node, value=1089","layer":4},{"info":"compute binary expreesion, left_input=3613, right_input=1089, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=43, 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=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 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":11,"result_base":11,"text":"(⋰*⋻3A08⫌⩹⨱)⨎(⫛⫱⨽⋰*⋻4918)⨎((⋰*⋻20A2⊭↱⋰*⋻210A)⨐⩸⫘⋰*⋻2795⪢⋰*⋻900)≣⋋=NaN","reverse_text":"NaN=(⋰*⋻3A08⫌⩹⨱)⨎(⫛⫱⨽⋰*⋻4918)⨎((⋰*⋻20A2⊭↱⋰*⋻210A)⨐⩸⫘⋰*⋻2795⪢⋰*⋻900)≣⋋","cot":[{"info":"⋰*⋻3A08⫌⩹⨱=⋰*⋻8979","layer":3},{"info":"⫛⫱⨽⋰*⋻4918=⋰*⋻0","layer":3},{"info":"⋰*⋻8979⨎⋰*⋻0=⋰*⋻0","layer":2},{"info":"⋰*⋻20A2⊭↱⋰*⋻210A=⋰*⋻3A","layer":3},{"info":"⋰*⋻2795⪢⋰*⋻900=NaN","layer":3},{"info":"⋰*⋻3A⨐⩸⫘NaN=NaN","layer":2},{"info":"⋰*⋻0⨎NaN=NaN","layer":1},{"info":"NaN≣⋋=NaN","layer":0}]}
{"id":83,"expression_no_base_symbol":"((+⊝⨔($4861$⨪↰⇹$1017$))⪮%⊝((≦∁$2378$)⪒(∂$2229$)))≹⇙⪍(⨑⩽⪐($1916$*$4046$)↬$3302$⪮%⊝$1399$)","expression":"((+⊝⨔(⋰*⋻371A⨪↰⇹⋰*⋻845))⪮%⊝((≦∁⋰*⋻1872)⪒(∂⋰*⋻1747)))≹⇙⪍(⨑⩽⪐(⋰*⋻1492*⋰*⋻3049)↬⋰*⋻2532⪮%⊝⋰*⋻1062)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6849,"operation_count":11,"complexity_ratio":622.6363636363636,"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":4861,"base":11},"right_expr":{"type":"numeric_atoms","value":1017,"base":11}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2378,"base":11}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2229,"base":11}}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1916,"base":11},"right_expr":{"type":"numeric_atoms","value":4046,"base":11}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3302,"base":11},"right_expr":{"type":"numeric_atoms","value":1399,"base":11}}}}},"used_operators":["AHs5Up7iyr","IWmyXbctLI","DhbWaqg5eL","tmPS8pqC7x","f6k1SAg4EE","9ICcGScMcE","Uaa54Peajs","AF7qkfDlqP","B5M0gjZbta","9HNa5Wba9A"],"dependent_operators":["dWAJyo7jo9","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rGHVDoGpnC","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4861","layer":4},{"info":"number node, value=1017","layer":4},{"info":"compute binary expreesion, left_input=4861, right_input=1017, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=4861","layer":3},{"info":"compute unary expreesion, input=4861, 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=2378","layer":4},{"info":"compute unary expreesion, input=2378, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2378","layer":3},{"info":"number node, value=2229","layer":4},{"info":"compute unary expreesion, input=2229, 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=2378, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1522, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"number node, value=1916","layer":4},{"info":"number node, value=4046","layer":4},{"info":"compute binary expreesion, left_input=1916, right_input=4046, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=7752136","layer":3},{"info":"number node, value=3302","layer":4},{"info":"number node, value=1399","layer":4},{"info":"compute binary expreesion, left_input=3302, right_input=1399, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6920","layer":3},{"info":"compute binary expreesion, left_input=7752136, right_input=6920, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"((+⊝⨔(⋰*⋻371A⨪↰⇹⋰*⋻845))⪮%⊝((≦∁⋰*⋻1872)⪒(∂⋰*⋻1747)))≹⇙⪍(⨑⩽⪐(⋰*⋻1492*⋰*⋻3049)↬⋰*⋻2532⪮%⊝⋰*⋻1062)=NaN","reverse_text":"NaN=((+⊝⨔(⋰*⋻371A⨪↰⇹⋰*⋻845))⪮%⊝((≦∁⋰*⋻1872)⪒(∂⋰*⋻1747)))≹⇙⪍(⨑⩽⪐(⋰*⋻1492*⋰*⋻3049)↬⋰*⋻2532⪮%⊝⋰*⋻1062)","cot":[{"info":"⋰*⋻371A⨪↰⇹⋰*⋻845=⋰*⋻371A","layer":3},{"info":"+⊝⨔⋰*⋻371A=⋰*⋻1164","layer":2},{"info":"≦∁⋰*⋻1872=⋰*⋻1872","layer":3},{"info":"∂⋰*⋻1747=NaN","layer":3},{"info":"⋰*⋻1872⪒NaN=NaN","layer":2},{"info":"⋰*⋻1164⪮%⊝NaN=NaN","layer":1},{"info":"⋰*⋻1492*⋰*⋻3049=⋰*⋻4415327","layer":3},{"info":"⋰*⋻2532⪮%⊝⋰*⋻1062=⋰*⋻5221","layer":3},{"info":"⋰*⋻4415327↬⋰*⋻5221=NaN","layer":2},{"info":"⨑⩽⪐NaN=NaN","layer":1},{"info":"NaN≹⇙⪍NaN=NaN","layer":0}]}
{"id":84,"expression_no_base_symbol":"((⊙↵-($4989$*$1697$))≣⋋)∸","expression":"((⊙↵-(⋰*⋻3826*⋰*⋻1303))≣⋋)∸","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":2075,"operation_count":4,"complexity_ratio":518.75,"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":4989,"base":11},"right_expr":{"type":"numeric_atoms","value":1697,"base":11}}}}},"used_operators":["o20kRiQErp","Tcnh7f0tEr","oWn0xqSxBt","9HNa5Wba9A"],"dependent_operators":["tmPS8pqC7x","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe"],"result":"⋰*⋻151","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4989","layer":4},{"info":"number node, value=1697","layer":4},{"info":"compute binary expreesion, left_input=4989, right_input=1697, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=8466333","layer":3},{"info":"compute unary expreesion, input=8466333, 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 = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=34","layer":1},{"info":"compute unary expreesion, input=34, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":0}],"base":11,"result_base":11,"text":"((⊙↵-(⋰*⋻3826*⋰*⋻1303))≣⋋)∸=⋰*⋻151","reverse_text":"⋰*⋻151=((⊙↵-(⋰*⋻3826*⋰*⋻1303))≣⋋)∸","cot":[{"info":"⋰*⋻3826*⋰*⋻1303=⋰*⋻4862977","layer":3},{"info":"⊙↵-⋰*⋻4862977=⋰*⋻-1","layer":2},{"info":"⋰*⋻-1≣⋋=⋰*⋻31","layer":1},{"info":"⋰*⋻31∸=⋰*⋻151","layer":0}]}
{"id":85,"expression_no_base_symbol":"($2194$⫥∨⫟$1667$⨸⪁(-$1486$)/$5438$⫥∨⫟$2682$↺(⊄⩳↩$5408$))⪘⫢(-(≦∁$4224$-$1256$))","expression":"(⋰*⋻1715⫥∨⫟⋰*⋻1286⨸⪁(-⋰*⋻1131)/⋰*⋻40A4⫥∨⫟⋰*⋻2019↺(⊄⩳↩⋰*⋻4077))⪘⫢(-(≦∁⋰*⋻31A0-⋰*⋻A42))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":330,"operation_count":11,"complexity_ratio":30.0,"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":2194,"base":11},"right_expr":{"type":"numeric_atoms","value":1667,"base":11}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1486,"base":11}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5438,"base":11},"right_expr":{"type":"numeric_atoms","value":2682,"base":11}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":5408,"base":11}}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4224,"base":11},"right_expr":{"type":"numeric_atoms","value":1256,"base":11}}}}},"used_operators":["oacrs7FA3X","XhwjNDsVaA","g55IO6H4Gj","KYD54nUTWz","t8gj7n24qd","7j4O788W3g","8w2t5hMYqp","9ICcGScMcE","rysDP5nf3Z"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2194","layer":4},{"info":"number node, value=1667","layer":4},{"info":"compute binary expreesion, left_input=2194, right_input=1667, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1486","layer":4},{"info":"compute unary expreesion, input=1486, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1486","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1486, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"number node, value=5438","layer":4},{"info":"number node, value=2682","layer":4},{"info":"compute binary expreesion, left_input=5438, right_input=2682, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=5408","layer":4},{"info":"compute unary expreesion, input=5408, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-16224","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-16224, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-16224","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-16224, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=4224","layer":4},{"info":"number node, value=1256","layer":4},{"info":"compute binary expreesion, left_input=4224, right_input=1256, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2968","layer":3},{"info":"compute unary expreesion, input=2968, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2968","layer":2},{"info":"compute unary expreesion, input=2968, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2968","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2968, 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":11,"result_base":11,"text":"(⋰*⋻1715⫥∨⫟⋰*⋻1286⨸⪁(-⋰*⋻1131)/⋰*⋻40A4⫥∨⫟⋰*⋻2019↺(⊄⩳↩⋰*⋻4077))⪘⫢(-(≦∁⋰*⋻31A0-⋰*⋻A42))=NaN","reverse_text":"NaN=(⋰*⋻1715⫥∨⫟⋰*⋻1286⨸⪁(-⋰*⋻1131)/⋰*⋻40A4⫥∨⫟⋰*⋻2019↺(⊄⩳↩⋰*⋻4077))⪘⫢(-(≦∁⋰*⋻31A0-⋰*⋻A42))","cot":[{"info":"⋰*⋻1715⫥∨⫟⋰*⋻1286=NaN","layer":3},{"info":"-⋰*⋻1131=⋰*⋻-1131","layer":3},{"info":"NaN⨸⪁⋰*⋻-1131=NaN","layer":2},{"info":"⋰*⋻40A4⫥∨⫟⋰*⋻2019=NaN","layer":3},{"info":"⊄⩳↩⋰*⋻4077=⋰*⋻-1120A","layer":3},{"info":"NaN↺⋰*⋻-1120A=⋰*⋻-1120A","layer":2},{"info":"NaN/⋰*⋻-1120A=NaN","layer":1},{"info":"⋰*⋻31A0-⋰*⋻A42=⋰*⋻2259","layer":3},{"info":"≦∁⋰*⋻2259=⋰*⋻2259","layer":2},{"info":"-⋰*⋻2259=⋰*⋻-2259","layer":1},{"info":"NaN⪘⫢⋰*⋻-2259=NaN","layer":0}]}
{"id":86,"expression_no_base_symbol":"((↽≂$3952$)⪄(⨞⊢$2759$)⋷($2846$⫌⩹⨱)≹⇙⪍(≤/$2029$))⊉≛↸((⊥($2085$∑⇟⊟$1079$))⇋≉)","expression":"((↽≂⋰*⋻2A73)⪄(⨞⊢⋰*⋻2089)⋷(⋰*⋻2158⫌⩹⨱)≹⇙⪍(≤/⋰*⋻1585))⊉≛↸((⊥(⋰*⋻1626∑⇟⊟⋰*⋻8A1))⇋≉)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":116,"operation_count":11,"complexity_ratio":10.545454545454545,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":3952,"base":11}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2759,"base":11}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":2846,"base":11}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2029,"base":11}}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2085,"base":11},"right_expr":{"type":"numeric_atoms","value":1079,"base":11}}}}},"used_operators":["DZ8iAZOCBD","23Mk6UjR3U","SUmda5xLS4","u6S6b8DprG","xUOZtlo3hN","AHs5Up7iyr","EBcxylXtPf","eLAdDNolq6","XIabStNQrY","Q3PJZHRvZv","U7g4x0WXJJ"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3952","layer":4},{"info":"compute unary expreesion, input=3952, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-7904","layer":3},{"info":"number node, value=2759","layer":4},{"info":"compute unary expreesion, input=2759, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2933","layer":3},{"info":"compute binary expreesion, left_input=-7904, right_input=-2933, 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=2846","layer":4},{"info":"compute unary expreesion, input=2846, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=7093","layer":3},{"info":"number node, value=2029","layer":4},{"info":"compute unary expreesion, input=2029, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1545","layer":3},{"info":"compute binary expreesion, left_input=7093, right_input=-1545, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=3979, 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=2085","layer":4},{"info":"number node, value=1079","layer":4},{"info":"compute binary expreesion, left_input=2085, right_input=1079, 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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((↽≂⋰*⋻2A73)⪄(⨞⊢⋰*⋻2089)⋷(⋰*⋻2158⫌⩹⨱)≹⇙⪍(≤/⋰*⋻1585))⊉≛↸((⊥(⋰*⋻1626∑⇟⊟⋰*⋻8A1))⇋≉)=NaN","reverse_text":"NaN=((↽≂⋰*⋻2A73)⪄(⨞⊢⋰*⋻2089)⋷(⋰*⋻2158⫌⩹⨱)≹⇙⪍(≤/⋰*⋻1585))⊉≛↸((⊥(⋰*⋻1626∑⇟⊟⋰*⋻8A1))⇋≉)","cot":[{"info":"↽≂⋰*⋻2A73=⋰*⋻-5A36","layer":3},{"info":"⨞⊢⋰*⋻2089=⋰*⋻-2227","layer":3},{"info":"⋰*⋻-5A36⪄⋰*⋻-2227=⋰*⋻2A98","layer":2},{"info":"⋰*⋻2158⫌⩹⨱=⋰*⋻5369","layer":3},{"info":"≤/⋰*⋻1585=⋰*⋻-1185","layer":3},{"info":"⋰*⋻5369≹⇙⪍⋰*⋻-1185=NaN","layer":2},{"info":"⋰*⋻2A98⋷NaN=NaN","layer":1},{"info":"⋰*⋻1626∑⇟⊟⋰*⋻8A1=NaN","layer":3},{"info":"⊥NaN=NaN","layer":2},{"info":"NaN⇋≉=NaN","layer":1},{"info":"NaN⊉≛↸NaN=NaN","layer":0}]}
{"id":87,"expression_no_base_symbol":"($3917$∼$9515$↺$1205$≧⫂∧$5350$)⪘⫢(($3216$∧)⪠⩆⊳)⨁⊸⫻","expression":"(⋰*⋻2A41∼⋰*⋻7170↺⋰*⋻9A6≧⫂∧⋰*⋻4024)⪘⫢((⋰*⋻2464∧)⪠⩆⊳)⨁⊸⫻","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":103,"operation_count":7,"complexity_ratio":14.714285714285714,"tree":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3917,"base":11},"right_expr":{"type":"numeric_atoms","value":9515,"base":11}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1205,"base":11},"right_expr":{"type":"numeric_atoms","value":5350,"base":11}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":3216,"base":11}}}}},"used_operators":["glklzrTFfD","oacrs7FA3X","7j4O788W3g","DyGG3AbaNP","Ph9nP6C5qx","JLbD19bQDL","z63VuFQld9"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=3917","layer":4},{"info":"number node, value=9515","layer":4},{"info":"compute binary expreesion, left_input=3917, right_input=9515, 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=1205","layer":4},{"info":"number node, value=5350","layer":4},{"info":"compute binary expreesion, left_input=1205, right_input=5350, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4877","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4877, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4877","layer":2},{"info":"number node, value=3216","layer":4},{"info":"compute unary expreesion, input=3216, 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 = 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":"compute binary expreesion, left_input=4877, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":1},{"info":"compute 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":11,"result_base":11,"text":"(⋰*⋻2A41∼⋰*⋻7170↺⋰*⋻9A6≧⫂∧⋰*⋻4024)⪘⫢((⋰*⋻2464∧)⪠⩆⊳)⨁⊸⫻=NaN","reverse_text":"NaN=(⋰*⋻2A41∼⋰*⋻7170↺⋰*⋻9A6≧⫂∧⋰*⋻4024)⪘⫢((⋰*⋻2464∧)⪠⩆⊳)⨁⊸⫻","cot":[{"info":"⋰*⋻2A41∼⋰*⋻7170=NaN","layer":3},{"info":"⋰*⋻9A6≧⫂∧⋰*⋻4024=⋰*⋻3734","layer":3},{"info":"NaN↺⋰*⋻3734=⋰*⋻3734","layer":2},{"info":"⋰*⋻2464∧=NaN","layer":3},{"info":"NaN⪠⩆⊳=NaN","layer":2},{"info":"⋰*⋻3734⪘⫢NaN=NaN","layer":1},{"info":"NaN⨁⊸⫻=NaN","layer":0}]}
{"id":88,"expression_no_base_symbol":"(⊄⩳↩(⇁⨣⪵$3486$∀⇚≩$6003$))↙((∥⊫$2684$)⊉≛↸($1361$/$2231$))⨽($2118$⫸⊐$5769$⊭↱($1215$⇼⇔∾$8946$))","expression":"(⊄⩳↩(⇁⨣⪵⋰*⋻268A∀⇚≩⋰*⋻4568))↙((∥⊫⋰*⋻2020)⊉≛↸(⋰*⋻1028/⋰*⋻1749))⨽(⋰*⋻1656⫸⊐⋰*⋻4375⊭↱(⋰*⋻A05⇼⇔∾⋰*⋻67A3))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":31559,"operation_count":11,"complexity_ratio":2869.0,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3486,"base":11},"right_expr":{"type":"numeric_atoms","value":6003,"base":11}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":2684,"base":11}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1361,"base":11},"right_expr":{"type":"numeric_atoms","value":2231,"base":11}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2118,"base":11},"right_expr":{"type":"numeric_atoms","value":5769,"base":11}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1215,"base":11},"right_expr":{"type":"numeric_atoms","value":8946,"base":11}}}}},"used_operators":["yyfyN0ffXY","8w2t5hMYqp","inkyxCbjAn","LRNGc0VcxI","8HhzD0ZcuI","DZ8iAZOCBD","P8v4zCKN1o","XhwjNDsVaA","COABgblf1C","mqXw5SEYmG","tifHPKVTfV"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","X99M06cbEe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3486","layer":4},{"info":"number node, value=6003","layer":4},{"info":"compute binary expreesion, left_input=3486, right_input=6003, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":1},{"info":"number node, value=2684","layer":4},{"info":"compute unary expreesion, input=2684, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3552","layer":3},{"info":"number node, value=1361","layer":4},{"info":"number node, value=2231","layer":4},{"info":"compute binary expreesion, left_input=1361, right_input=2231, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=3552, right_input=0, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=7104","layer":2},{"info":"number node, value=2118","layer":4},{"info":"number node, value=5769","layer":4},{"info":"compute binary expreesion, left_input=2118, right_input=5769, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=22951","layer":3},{"info":"number node, value=1215","layer":4},{"info":"number node, value=8946","layer":4},{"info":"compute binary expreesion, left_input=1215, right_input=8946, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=7731","layer":3},{"info":"compute binary expreesion, left_input=22951, right_input=7731, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-30435","layer":2},{"info":"compute binary expreesion, left_input=7104, right_input=-30435, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-151307829","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-151307829, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⊄⩳↩(⇁⨣⪵⋰*⋻268A∀⇚≩⋰*⋻4568))↙((∥⊫⋰*⋻2020)⊉≛↸(⋰*⋻1028/⋰*⋻1749))⨽(⋰*⋻1656⫸⊐⋰*⋻4375⊭↱(⋰*⋻A05⇼⇔∾⋰*⋻67A3))=NaN","reverse_text":"NaN=(⊄⩳↩(⇁⨣⪵⋰*⋻268A∀⇚≩⋰*⋻4568))↙((∥⊫⋰*⋻2020)⊉≛↸(⋰*⋻1028/⋰*⋻1749))⨽(⋰*⋻1656⫸⊐⋰*⋻4375⊭↱(⋰*⋻A05⇼⇔∾⋰*⋻67A3))","cot":[{"info":"⋰*⋻268A∀⇚≩⋰*⋻4568=NaN","layer":3},{"info":"⇁⨣⪵NaN=NaN","layer":2},{"info":"⊄⩳↩NaN=NaN","layer":1},{"info":"∥⊫⋰*⋻2020=⋰*⋻273A","layer":3},{"info":"⋰*⋻1028/⋰*⋻1749=⋰*⋻0","layer":3},{"info":"⋰*⋻273A⊉≛↸⋰*⋻0=⋰*⋻5379","layer":2},{"info":"⋰*⋻1656⫸⊐⋰*⋻4375=⋰*⋻16275","layer":3},{"info":"⋰*⋻A05⇼⇔∾⋰*⋻67A3=⋰*⋻5899","layer":3},{"info":"⋰*⋻16275⊭↱⋰*⋻5899=⋰*⋻-20959","layer":2},{"info":"⋰*⋻5379⨽⋰*⋻-20959=⋰*⋻-784558A2","layer":1},{"info":"NaN↙⋰*⋻-784558A2=NaN","layer":0}]}
{"id":89,"expression_no_base_symbol":"((($3450$⪄$2113$)⨟⋌⩍($4319$%$1433$))⪮%⊝((≉$1404$)↬(⨞⊢$1271$)))⊴((⫛⫱⨽(⋗⩬⋾$1116$))⋝⋈⪟($4694$≣⋋)⨓($5142$+⇶⊼$2582$))","expression":"(((⋰*⋻2657⪄⋰*⋻1651)⨟⋌⩍(⋰*⋻3277%⋰*⋻1093))⪮%⊝((≉⋰*⋻1067)↬(⨞⊢⋰*⋻A56)))⊴((⫛⫱⨽(⋗⩬⋾⋰*⋻925))⋝⋈⪟(⋰*⋻3588≣⋋)⨓(⋰*⋻3955+⇶⊼⋰*⋻1A38))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2659,"operation_count":14,"complexity_ratio":189.92857142857142,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3450,"base":11},"right_expr":{"type":"numeric_atoms","value":2113,"base":11}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4319,"base":11},"right_expr":{"type":"numeric_atoms","value":1433,"base":11}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1404,"base":11}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1271,"base":11}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1116,"base":11}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":4694,"base":11}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":5142,"base":11},"right_expr":{"type":"numeric_atoms","value":2582,"base":11}}}}},"used_operators":["Nsiff2A1zJ","IWmyXbctLI","rGHVDoGpnC","SUmda5xLS4","k8jYdgA6NY","B5M0gjZbta","e1ybzncUwg","xUOZtlo3hN","2DDjHMKMc0","DlLNRPXxWL","DpFCA1CohY","3ViojmjbAp","Tcnh7f0tEr","TpPTUOHfaN"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","Tcnh7f0tEr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3450","layer":4},{"info":"number node, value=2113","layer":4},{"info":"compute binary expreesion, left_input=3450, right_input=2113, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-515141","layer":3},{"info":"number node, value=4319","layer":4},{"info":"number node, value=1433","layer":4},{"info":"compute binary expreesion, left_input=4319, right_input=1433, op_id = k8jYdgA6NY binary_op_definition= 'None', output=20","layer":3},{"info":"compute binary expreesion, left_input=-515141, right_input=20, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=0","layer":2},{"info":"number node, value=1404","layer":4},{"info":"compute unary expreesion, input=1404, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1935","layer":3},{"info":"number node, value=1271","layer":4},{"info":"compute unary expreesion, input=1271, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1445","layer":3},{"info":"compute binary expreesion, left_input=1935, right_input=-1445, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"number node, value=1116","layer":4},{"info":"compute unary expreesion, input=1116, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3348","layer":3},{"info":"compute unary expreesion, input=-3348, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"number node, value=4694","layer":4},{"info":"compute unary expreesion, input=4694, 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=5142","layer":4},{"info":"number node, value=2582","layer":4},{"info":"compute binary expreesion, left_input=5142, right_input=2582, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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 = 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 = 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 = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻2657⪄⋰*⋻1651)⨟⋌⩍(⋰*⋻3277%⋰*⋻1093))⪮%⊝((≉⋰*⋻1067)↬(⨞⊢⋰*⋻A56)))⊴((⫛⫱⨽(⋗⩬⋾⋰*⋻925))⋝⋈⪟(⋰*⋻3588≣⋋)⨓(⋰*⋻3955+⇶⊼⋰*⋻1A38))=NaN","reverse_text":"NaN=(((⋰*⋻2657⪄⋰*⋻1651)⨟⋌⩍(⋰*⋻3277%⋰*⋻1093))⪮%⊝((≉⋰*⋻1067)↬(⨞⊢⋰*⋻A56)))⊴((⫛⫱⨽(⋗⩬⋾⋰*⋻925))⋝⋈⪟(⋰*⋻3588≣⋋)⨓(⋰*⋻3955+⇶⊼⋰*⋻1A38))","cot":[{"info":"⋰*⋻2657⪄⋰*⋻1651=⋰*⋻-322040","layer":3},{"info":"⋰*⋻3277%⋰*⋻1093=⋰*⋻19","layer":3},{"info":"⋰*⋻-322040⨟⋌⩍⋰*⋻19=⋰*⋻0","layer":2},{"info":"≉⋰*⋻1067=⋰*⋻14AA","layer":3},{"info":"⨞⊢⋰*⋻A56=⋰*⋻-10A4","layer":3},{"info":"⋰*⋻14AA↬⋰*⋻-10A4=NaN","layer":2},{"info":"⋰*⋻0⪮%⊝NaN=NaN","layer":1},{"info":"⋗⩬⋾⋰*⋻925=⋰*⋻-2574","layer":3},{"info":"⫛⫱⨽⋰*⋻-2574=⋰*⋻0","layer":2},{"info":"⋰*⋻3588≣⋋=⋰*⋻0","layer":3},{"info":"⋰*⋻3955+⇶⊼⋰*⋻1A38=NaN","layer":3},{"info":"⋰*⋻0⨓NaN=NaN","layer":2},{"info":"⋰*⋻0⋝⋈⪟NaN=NaN","layer":1},{"info":"NaN⊴NaN=NaN","layer":0}]}
{"id":90,"expression_no_base_symbol":"↔(↽≂($4355$⪒$1620$)∀⇚≩($3072$-$6607$))","expression":"↔(↽≂(⋰*⋻32AA⪒⋰*⋻1243)∀⇚≩(⋰*⋻2343-⋰*⋻4A67))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":41854,"operation_count":5,"complexity_ratio":8370.8,"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":4355,"base":11},"right_expr":{"type":"numeric_atoms","value":1620,"base":11}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3072,"base":11},"right_expr":{"type":"numeric_atoms","value":6607,"base":11}}}}},"used_operators":["ruOEQAzv1W","u6S6b8DprG","LRNGc0VcxI","f6k1SAg4EE","rysDP5nf3Z"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻-112","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4355","layer":4},{"info":"number node, value=1620","layer":4},{"info":"compute binary expreesion, left_input=4355, right_input=1620, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5975","layer":3},{"info":"number node, value=3072","layer":4},{"info":"number node, value=6607","layer":4},{"info":"compute binary expreesion, left_input=3072, right_input=6607, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3535","layer":3},{"info":"compute binary expreesion, left_input=-5975, right_input=-3535, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = 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 = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":0}],"base":11,"result_base":11,"text":"↔(↽≂(⋰*⋻32AA⪒⋰*⋻1243)∀⇚≩(⋰*⋻2343-⋰*⋻4A67))=⋰*⋻-112","reverse_text":"⋰*⋻-112=↔(↽≂(⋰*⋻32AA⪒⋰*⋻1243)∀⇚≩(⋰*⋻2343-⋰*⋻4A67))","cot":[{"info":"⋰*⋻32AA⪒⋰*⋻1243=⋰*⋻-4542","layer":3},{"info":"⋰*⋻2343-⋰*⋻4A67=⋰*⋻-2724","layer":3},{"info":"⋰*⋻-4542∀⇚≩⋰*⋻-2724=NaN","layer":2},{"info":"↽≂NaN=NaN","layer":1},{"info":"↔NaN=⋰*⋻-112","layer":0}]}
{"id":91,"expression_no_base_symbol":"↥((≉$1346$⨰$4089$)⊠≄⫣)","expression":"↥((≉⋰*⋻1014⨰⋰*⋻3088)⊠≄⫣)","highest_n_order":2,"priority_hierarchical_complexity":4,"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":1346,"base":11},"right_expr":{"type":"numeric_atoms","value":4089,"base":11}}}}},"used_operators":["A8NUZmVepG","DIvbN7qnHd","e1ybzncUwg","eewbuw0ToL"],"dependent_operators":["k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1346","layer":4},{"info":"number node, value=4089","layer":4},{"info":"compute binary expreesion, left_input=1346, right_input=4089, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2733","layer":3},{"info":"compute unary expreesion, input=-2733, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-2733","layer":2},{"info":"compute unary expreesion, input=-2733, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=0","layer":0}],"base":11,"result_base":11,"text":"↥((≉⋰*⋻1014⨰⋰*⋻3088)⊠≄⫣)=⋰*⋻0","reverse_text":"⋰*⋻0=↥((≉⋰*⋻1014⨰⋰*⋻3088)⊠≄⫣)","cot":[{"info":"⋰*⋻1014⨰⋰*⋻3088=⋰*⋻-2065","layer":3},{"info":"≉⋰*⋻-2065=⋰*⋻-2065","layer":2},{"info":"⋰*⋻-2065⊠≄⫣=⋰*⋻0","layer":1},{"info":"↥⋰*⋻0=⋰*⋻0","layer":0}]}
{"id":92,"expression_no_base_symbol":"((∥⊫$2508$)⨪↰⇹($8568$⋳⪒$4782$))⊴(($1362$⫡⨏$1135$)⪒$2315$↙$5606$)↺(⨈⫕($2876$∑⇟⊟$6153$⫌⩹⨱))","expression":"((∥⊫⋰*⋻1980)⨪↰⇹(⋰*⋻648A⋳⪒⋰*⋻3658))⊴((⋰*⋻1029⫡⨏⋰*⋻942)⪒⋰*⋻1815↙⋰*⋻4237)↺(⨈⫕(⋰*⋻2185∑⇟⊟⋰*⋻4694⫌⩹⨱))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":16363,"operation_count":11,"complexity_ratio":1487.5454545454545,"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":2508,"base":11}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":8568,"base":11},"right_expr":{"type":"numeric_atoms","value":4782,"base":11}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1362,"base":11},"right_expr":{"type":"numeric_atoms","value":1135,"base":11}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2315,"base":11},"right_expr":{"type":"numeric_atoms","value":5606,"base":11}}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2876,"base":11},"right_expr":{"type":"numeric_atoms","value":6153,"base":11}}}}},"used_operators":["7j4O788W3g","Nsiff2A1zJ","tmPS8pqC7x","P8v4zCKN1o","12rbrZMWeM","f6k1SAg4EE","QMFrweE19q","yyfyN0ffXY","megm06wKyl","EBcxylXtPf","U7g4x0WXJJ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"⋰*⋻-1A","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2508","layer":4},{"info":"compute unary expreesion, input=2508, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3376","layer":3},{"info":"number node, value=8568","layer":4},{"info":"number node, value=4782","layer":4},{"info":"compute binary expreesion, left_input=8568, right_input=4782, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=12067","layer":3},{"info":"compute binary expreesion, left_input=3376, right_input=12067, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3376","layer":2},{"info":"number node, value=1362","layer":4},{"info":"number node, value=1135","layer":4},{"info":"compute binary expreesion, left_input=1362, right_input=1135, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=9863","layer":3},{"info":"number node, value=2315","layer":4},{"info":"number node, value=5606","layer":4},{"info":"compute binary expreesion, left_input=2315, right_input=5606, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-16818","layer":3},{"info":"compute binary expreesion, left_input=9863, right_input=-16818, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=6955","layer":2},{"info":"compute binary expreesion, left_input=3376, right_input=6955, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=2876","layer":4},{"info":"number node, value=6153","layer":4},{"info":"compute binary expreesion, left_input=2876, right_input=6153, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=nan","layer":2},{"info":"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 = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-21","layer":0}],"base":11,"result_base":11,"text":"((∥⊫⋰*⋻1980)⨪↰⇹(⋰*⋻648A⋳⪒⋰*⋻3658))⊴((⋰*⋻1029⫡⨏⋰*⋻942)⪒⋰*⋻1815↙⋰*⋻4237)↺(⨈⫕(⋰*⋻2185∑⇟⊟⋰*⋻4694⫌⩹⨱))=⋰*⋻-1A","reverse_text":"⋰*⋻-1A=((∥⊫⋰*⋻1980)⨪↰⇹(⋰*⋻648A⋳⪒⋰*⋻3658))⊴((⋰*⋻1029⫡⨏⋰*⋻942)⪒⋰*⋻1815↙⋰*⋻4237)↺(⨈⫕(⋰*⋻2185∑⇟⊟⋰*⋻4694⫌⩹⨱))","cot":[{"info":"∥⊫⋰*⋻1980=⋰*⋻259A","layer":3},{"info":"⋰*⋻648A⋳⪒⋰*⋻3658=⋰*⋻9080","layer":3},{"info":"⋰*⋻259A⨪↰⇹⋰*⋻9080=⋰*⋻259A","layer":2},{"info":"⋰*⋻1029⫡⨏⋰*⋻942=⋰*⋻7457","layer":3},{"info":"⋰*⋻1815↙⋰*⋻4237=⋰*⋻-116AA","layer":3},{"info":"⋰*⋻7457⪒⋰*⋻-116AA=⋰*⋻5253","layer":2},{"info":"⋰*⋻259A⊴⋰*⋻5253=NaN","layer":1},{"info":"⋰*⋻2185∑⇟⊟⋰*⋻4694=NaN","layer":3},{"info":"NaN⫌⩹⨱=NaN","layer":2},{"info":"⨈⫕NaN=⋰*⋻-1A","layer":1},{"info":"NaN↺⋰*⋻-1A=⋰*⋻-1A","layer":0}]}
{"id":93,"expression_no_base_symbol":"(↯⪼((⫛⫱⨽$3864$)⩷∴($1447$⇋≉)))+⇶⊼(($2383$+$1538$⋷$1465$↙$8544$)⩨($2340$≫≃)⩷∴($7800$⇼⇔∾$1120$))","expression":"(↯⪼((⫛⫱⨽⋰*⋻29A3)⩷∴(⋰*⋻10A6⇋≉)))+⇶⊼((⋰*⋻1877+⋰*⋻1179⋷⋰*⋻1112↙⋰*⋻6468)⩨(⋰*⋻1838≫≃)⩷∴(⋰*⋻5951⇼⇔∾⋰*⋻929))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":28961,"operation_count":12,"complexity_ratio":2413.4166666666665,"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":3864,"base":11}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1447,"base":11}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2383,"base":11},"right_expr":{"type":"numeric_atoms","value":1538,"base":11}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1465,"base":11},"right_expr":{"type":"numeric_atoms","value":8544,"base":11}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":2340,"base":11}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":7800,"base":11},"right_expr":{"type":"numeric_atoms","value":1120,"base":11}}}}},"used_operators":["TpPTUOHfaN","8jW3W4yZS5","9FxExcQeMw","DlLNRPXxWL","XIabStNQrY","2DlMacCsIx","23Mk6UjR3U","W4YGzv6Whe","yyfyN0ffXY","X99M06cbEe","tifHPKVTfV"],"dependent_operators":["AHs5Up7iyr","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3864","layer":4},{"info":"compute unary expreesion, input=3864, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=1447","layer":4},{"info":"compute unary expreesion, input=1447, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=2796","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2796, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-5624","layer":2},{"info":"compute unary expreesion, input=-5624, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=10331","layer":1},{"info":"number node, value=2383","layer":4},{"info":"number node, value=1538","layer":4},{"info":"compute binary expreesion, left_input=2383, right_input=1538, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3921","layer":3},{"info":"number node, value=1465","layer":4},{"info":"number node, value=8544","layer":4},{"info":"compute binary expreesion, left_input=1465, right_input=8544, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-25632","layer":3},{"info":"compute binary expreesion, left_input=3921, right_input=-25632, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-55185","layer":2},{"info":"number node, value=2340","layer":4},{"info":"compute unary expreesion, input=2340, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=6081","layer":3},{"info":"number node, value=7800","layer":4},{"info":"number node, value=1120","layer":4},{"info":"compute binary expreesion, left_input=7800, right_input=1120, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-6680","layer":3},{"info":"compute binary expreesion, left_input=6081, right_input=-6680, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=25490","layer":2},{"info":"compute binary expreesion, left_input=-55185, right_input=25490, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=3","layer":1},{"info":"compute binary expreesion, left_input=10331, right_input=3, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"(↯⪼((⫛⫱⨽⋰*⋻29A3)⩷∴(⋰*⋻10A6⇋≉)))+⇶⊼((⋰*⋻1877+⋰*⋻1179⋷⋰*⋻1112↙⋰*⋻6468)⩨(⋰*⋻1838≫≃)⩷∴(⋰*⋻5951⇼⇔∾⋰*⋻929))=NaN","reverse_text":"NaN=(↯⪼((⫛⫱⨽⋰*⋻29A3)⩷∴(⋰*⋻10A6⇋≉)))+⇶⊼((⋰*⋻1877+⋰*⋻1179⋷⋰*⋻1112↙⋰*⋻6468)⩨(⋰*⋻1838≫≃)⩷∴(⋰*⋻5951⇼⇔∾⋰*⋻929))","cot":[{"info":"⫛⫱⨽⋰*⋻29A3=⋰*⋻0","layer":3},{"info":"⋰*⋻10A6⇋≉=⋰*⋻2112","layer":3},{"info":"⋰*⋻0⩷∴⋰*⋻2112=⋰*⋻-4253","layer":2},{"info":"↯⪼⋰*⋻-4253=⋰*⋻7842","layer":1},{"info":"⋰*⋻1877+⋰*⋻1179=⋰*⋻2A45","layer":3},{"info":"⋰*⋻1112↙⋰*⋻6468=⋰*⋻-18292","layer":3},{"info":"⋰*⋻2A45⋷⋰*⋻-18292=⋰*⋻-38509","layer":2},{"info":"⋰*⋻1838≫≃=⋰*⋻4629","layer":3},{"info":"⋰*⋻5951⇼⇔∾⋰*⋻929=⋰*⋻-5023","layer":3},{"info":"⋰*⋻4629⩷∴⋰*⋻-5023=⋰*⋻18173","layer":2},{"info":"⋰*⋻-38509⩨⋰*⋻18173=⋰*⋻3","layer":1},{"info":"⋰*⋻7842+⇶⊼⋰*⋻3=NaN","layer":0}]}
{"id":94,"expression_no_base_symbol":"⨞⊢(↥($2994$∸))≹⇙⪍((↣≠⋷$6983$)⫡⨏(⫛⫱⨽$4498$))","expression":"⨞⊢(↥(⋰*⋻2282∸))≹⇙⪍((↣≠⋷⋰*⋻5279)⫡⨏(⫛⫱⨽⋰*⋻341A))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1615,"operation_count":7,"complexity_ratio":230.71428571428572,"tree":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":2994,"base":11}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":6983,"base":11}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":4498,"base":11}}}}},"used_operators":["xUOZtlo3hN","AHs5Up7iyr","A8NUZmVepG","o20kRiQErp","QMFrweE19q","Asc51vEJeQ","DlLNRPXxWL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","k8jYdgA6NY","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=2994","layer":4},{"info":"compute unary expreesion, input=2994, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute unary expreesion, input=177, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=24","layer":2},{"info":"number node, value=6983","layer":4},{"info":"compute unary expreesion, input=6983, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=4498","layer":4},{"info":"compute unary expreesion, input=4498, 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 = 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=24, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⨞⊢(↥(⋰*⋻2282∸))≹⇙⪍((↣≠⋷⋰*⋻5279)⫡⨏(⫛⫱⨽⋰*⋻341A))=NaN","reverse_text":"NaN=⨞⊢(↥(⋰*⋻2282∸))≹⇙⪍((↣≠⋷⋰*⋻5279)⫡⨏(⫛⫱⨽⋰*⋻341A))","cot":[{"info":"⋰*⋻2282∸=⋰*⋻151","layer":3},{"info":"↥⋰*⋻151=⋰*⋻22","layer":2},{"info":"↣≠⋷⋰*⋻5279=NaN","layer":3},{"info":"⫛⫱⨽⋰*⋻341A=⋰*⋻0","layer":3},{"info":"NaN⫡⨏⋰*⋻0=NaN","layer":2},{"info":"⋰*⋻22≹⇙⪍NaN=NaN","layer":1},{"info":"⨞⊢NaN=NaN","layer":0}]}
{"id":95,"expression_no_base_symbol":"((⊙↵-$6487$)⩨($1539$⇼⇔∾$4486$)⊉≛↸($1021$⨽$3831$)∼($5396$⪛$5022$))⨪↰⇹($1848$≭$3779$+⇶⊼($6585$⨸⪁$1297$)+($1778$⩨$1767$)+⇶⊼(⇁⨣⪵$5375$))","expression":"((⊙↵-⋰*⋻4968)⩨(⋰*⋻117A⇼⇔∾⋰*⋻3409)⊉≛↸(⋰*⋻849⨽⋰*⋻2973)∼(⋰*⋻4066⪛⋰*⋻3856))⨪↰⇹(⋰*⋻1430≭⋰*⋻2926+⇶⊼(⋰*⋻4A47⨸⪁⋰*⋻A7A)+(⋰*⋻1377⩨⋰*⋻1367)+⇶⊼(⇁⨣⪵⋰*⋻4047))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":91250,"operation_count":15,"complexity_ratio":6083.333333333333,"tree":{"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":11}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1539,"base":11},"right_expr":{"type":"numeric_atoms","value":4486,"base":11}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1021,"base":11},"right_expr":{"type":"numeric_atoms","value":3831,"base":11}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":5396,"base":11},"right_expr":{"type":"numeric_atoms","value":5022,"base":11}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1848,"base":11},"right_expr":{"type":"numeric_atoms","value":3779,"base":11}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":6585,"base":11},"right_expr":{"type":"numeric_atoms","value":1297,"base":11}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1778,"base":11},"right_expr":{"type":"numeric_atoms","value":1767,"base":11}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":5375,"base":11}}}}},"used_operators":["tmPS8pqC7x","DZ8iAZOCBD","2DlMacCsIx","oWn0xqSxBt","tifHPKVTfV","DyGG3AbaNP","8HhzD0ZcuI","uFcxV4UQCh","W4YGzv6Whe","TpPTUOHfaN","rxpJgHHUmx","g55IO6H4Gj","inkyxCbjAn"],"dependent_operators":["rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","AHs5Up7iyr","AHs5Up7iyr","W4YGzv6Whe","B5M0gjZbta"],"result":"⋰*⋻12315","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6487","layer":4},{"info":"compute unary expreesion, input=6487, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=1539","layer":4},{"info":"number node, value=4486","layer":4},{"info":"compute binary expreesion, left_input=1539, right_input=4486, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=2947","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=2947, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=8841","layer":2},{"info":"number node, value=1021","layer":4},{"info":"number node, value=3831","layer":4},{"info":"compute binary expreesion, left_input=1021, right_input=3831, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3137502","layer":3},{"info":"number node, value=5396","layer":4},{"info":"number node, value=5022","layer":4},{"info":"compute binary expreesion, left_input=5396, right_input=5022, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=374","layer":3},{"info":"compute binary expreesion, left_input=-3137502, right_input=374, 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=8841, right_input=0, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=17682","layer":1},{"info":"number node, value=1848","layer":4},{"info":"number node, value=3779","layer":4},{"info":"compute binary expreesion, left_input=1848, right_input=3779, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=6585","layer":4},{"info":"number node, value=1297","layer":4},{"info":"compute binary expreesion, left_input=6585, right_input=1297, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=15764","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=15764, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=1778","layer":4},{"info":"number node, value=1767","layer":4},{"info":"compute binary expreesion, left_input=1778, right_input=1767, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=5375","layer":4},{"info":"compute unary expreesion, input=5375, 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 = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=17682, 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=17682","layer":0}],"base":11,"result_base":11,"text":"((⊙↵-⋰*⋻4968)⩨(⋰*⋻117A⇼⇔∾⋰*⋻3409)⊉≛↸(⋰*⋻849⨽⋰*⋻2973)∼(⋰*⋻4066⪛⋰*⋻3856))⨪↰⇹(⋰*⋻1430≭⋰*⋻2926+⇶⊼(⋰*⋻4A47⨸⪁⋰*⋻A7A)+(⋰*⋻1377⩨⋰*⋻1367)+⇶⊼(⇁⨣⪵⋰*⋻4047))=⋰*⋻12315","reverse_text":"⋰*⋻12315=((⊙↵-⋰*⋻4968)⩨(⋰*⋻117A⇼⇔∾⋰*⋻3409)⊉≛↸(⋰*⋻849⨽⋰*⋻2973)∼(⋰*⋻4066⪛⋰*⋻3856))⨪↰⇹(⋰*⋻1430≭⋰*⋻2926+⇶⊼(⋰*⋻4A47⨸⪁⋰*⋻A7A)+(⋰*⋻1377⩨⋰*⋻1367)+⇶⊼(⇁⨣⪵⋰*⋻4047))","cot":[{"info":"⊙↵-⋰*⋻4968=⋰*⋻-1","layer":3},{"info":"⋰*⋻117A⇼⇔∾⋰*⋻3409=⋰*⋻223A","layer":3},{"info":"⋰*⋻-1⩨⋰*⋻223A=⋰*⋻6708","layer":2},{"info":"⋰*⋻849⨽⋰*⋻2973=⋰*⋻-1853285","layer":3},{"info":"⋰*⋻4066⪛⋰*⋻3856=⋰*⋻310","layer":3},{"info":"⋰*⋻-1853285∼⋰*⋻310=⋰*⋻0","layer":2},{"info":"⋰*⋻6708⊉≛↸⋰*⋻0=⋰*⋻12315","layer":1},{"info":"⋰*⋻1430≭⋰*⋻2926=NaN","layer":3},{"info":"⋰*⋻4A47⨸⪁⋰*⋻A7A=⋰*⋻10931","layer":3},{"info":"NaN+⇶⊼⋰*⋻10931=NaN","layer":2},{"info":"⋰*⋻1377⩨⋰*⋻1367=⋰*⋻0","layer":3},{"info":"⇁⨣⪵⋰*⋻4047=NaN","layer":3},{"info":"⋰*⋻0+⇶⊼NaN=NaN","layer":2},{"info":"NaN+NaN=NaN","layer":1},{"info":"⋰*⋻12315⨪↰⇹NaN=⋰*⋻12315","layer":0}]}
{"id":96,"expression_no_base_symbol":"≦∁($2291$⪒$1907$)⩷∴($2344$⊉≛↸$1024$)↙($5628$⋫)∼(↯⪼$1009$)","expression":"≦∁(⋰*⋻17A3⪒⋰*⋻1484)⩷∴(⋰*⋻1841⊉≛↸⋰*⋻851)↙(⋰*⋻4257⋫)∼(↯⪼⋰*⋻838)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5970,"operation_count":8,"complexity_ratio":746.25,"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":2291,"base":11},"right_expr":{"type":"numeric_atoms","value":1907,"base":11}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2344,"base":11},"right_expr":{"type":"numeric_atoms","value":1024,"base":11}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":5628,"base":11}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1009,"base":11}}}}},"used_operators":["9ICcGScMcE","yyfyN0ffXY","9FxExcQeMw","f6k1SAg4EE","DZ8iAZOCBD","DyGG3AbaNP","JL8yIekQnl","8jW3W4yZS5"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","tmPS8pqC7x","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"⋰*⋻61","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2291","layer":4},{"info":"number node, value=1907","layer":4},{"info":"compute binary expreesion, left_input=2291, right_input=1907, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4198","layer":3},{"info":"number node, value=2344","layer":4},{"info":"number node, value=1024","layer":4},{"info":"compute binary expreesion, left_input=2344, right_input=1024, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4688","layer":3},{"info":"compute binary expreesion, left_input=-4198, right_input=4688, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-17804","layer":2},{"info":"number node, value=5628","layer":4},{"info":"compute unary expreesion, input=5628, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=5628","layer":3},{"info":"number node, value=1009","layer":4},{"info":"compute unary expreesion, input=1009, 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=5628, 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 binary expreesion, left_input=-17804, right_input=0, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-17804","layer":1},{"info":"compute unary expreesion, input=-17804, 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":11,"result_base":11,"text":"≦∁(⋰*⋻17A3⪒⋰*⋻1484)⩷∴(⋰*⋻1841⊉≛↸⋰*⋻851)↙(⋰*⋻4257⋫)∼(↯⪼⋰*⋻838)=⋰*⋻61","reverse_text":"⋰*⋻61=≦∁(⋰*⋻17A3⪒⋰*⋻1484)⩷∴(⋰*⋻1841⊉≛↸⋰*⋻851)↙(⋰*⋻4257⋫)∼(↯⪼⋰*⋻838)","cot":[{"info":"⋰*⋻17A3⪒⋰*⋻1484=⋰*⋻-3177","layer":3},{"info":"⋰*⋻1841⊉≛↸⋰*⋻851=⋰*⋻3582","layer":3},{"info":"⋰*⋻-3177⩷∴⋰*⋻3582=⋰*⋻-12416","layer":2},{"info":"⋰*⋻4257⋫=⋰*⋻4257","layer":3},{"info":"↯⪼⋰*⋻838=⋰*⋻-1A","layer":3},{"info":"⋰*⋻4257∼⋰*⋻-1A=⋰*⋻0","layer":2},{"info":"⋰*⋻-12416↙⋰*⋻0=⋰*⋻-12416","layer":1},{"info":"≦∁⋰*⋻-12416=⋰*⋻61","layer":0}]}
{"id":97,"expression_no_base_symbol":"(-$1178$)⨓($2658$∑⇟⊟$2795$)*($3662$-$1168$)⨰($5501$⋳⪒$2220$)⨸⪁(-$2261$⇷$6215$)⪢($6621$↬$2563$⊭∹↮)","expression":"(-⋰*⋻981)⨓(⋰*⋻1AA7∑⇟⊟⋰*⋻2111)*(⋰*⋻282A-⋰*⋻972)⨰(⋰*⋻4151⋳⪒⋰*⋻1739)⨸⪁(-⋰*⋻1776⇷⋰*⋻4740)⪢(⋰*⋻4A7A↬⋰*⋻1A20⊭∹↮)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":31696,"operation_count":13,"complexity_ratio":2438.153846153846,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1178,"base":11}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2658,"base":11},"right_expr":{"type":"numeric_atoms","value":2795,"base":11}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3662,"base":11},"right_expr":{"type":"numeric_atoms","value":1168,"base":11}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":5501,"base":11},"right_expr":{"type":"numeric_atoms","value":2220,"base":11}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2261,"base":11},"right_expr":{"type":"numeric_atoms","value":6215,"base":11}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":6621,"base":11},"right_expr":{"type":"numeric_atoms","value":2563,"base":11}}}}},"used_operators":["g55IO6H4Gj","9HNa5Wba9A","3ViojmjbAp","t8gj7n24qd","U7g4x0WXJJ","eewbuw0ToL","rysDP5nf3Z","12rbrZMWeM","dWAJyo7jo9","mp7IySMOzn","xNBdhnnwKq","B5M0gjZbta"],"dependent_operators":["W4YGzv6Whe","W4YGzv6Whe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1178","layer":4},{"info":"compute unary expreesion, input=1178, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1178","layer":3},{"info":"number node, value=2658","layer":4},{"info":"number node, value=2795","layer":4},{"info":"compute binary expreesion, left_input=2658, right_input=2795, 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=-1178, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"number node, value=3662","layer":4},{"info":"number node, value=1168","layer":4},{"info":"compute binary expreesion, left_input=3662, right_input=1168, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2494","layer":3},{"info":"number node, value=5501","layer":4},{"info":"number node, value=2220","layer":4},{"info":"compute binary expreesion, left_input=5501, right_input=2220, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=8495","layer":3},{"info":"compute binary expreesion, left_input=2494, right_input=8495, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-5991","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-5991, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=2261","layer":4},{"info":"number node, value=6215","layer":4},{"info":"compute binary expreesion, left_input=2261, right_input=6215, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=12430","layer":3},{"info":"compute unary expreesion, input=12430, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-12430","layer":2},{"info":"number node, value=6621","layer":4},{"info":"number node, value=2563","layer":4},{"info":"compute binary expreesion, left_input=6621, right_input=2563, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-12430, 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 = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(-⋰*⋻981)⨓(⋰*⋻1AA7∑⇟⊟⋰*⋻2111)*(⋰*⋻282A-⋰*⋻972)⨰(⋰*⋻4151⋳⪒⋰*⋻1739)⨸⪁(-⋰*⋻1776⇷⋰*⋻4740)⪢(⋰*⋻4A7A↬⋰*⋻1A20⊭∹↮)=NaN","reverse_text":"NaN=(-⋰*⋻981)⨓(⋰*⋻1AA7∑⇟⊟⋰*⋻2111)*(⋰*⋻282A-⋰*⋻972)⨰(⋰*⋻4151⋳⪒⋰*⋻1739)⨸⪁(-⋰*⋻1776⇷⋰*⋻4740)⪢(⋰*⋻4A7A↬⋰*⋻1A20⊭∹↮)","cot":[{"info":"-⋰*⋻981=⋰*⋻-981","layer":3},{"info":"⋰*⋻1AA7∑⇟⊟⋰*⋻2111=NaN","layer":3},{"info":"⋰*⋻-981⨓NaN=NaN","layer":2},{"info":"⋰*⋻282A-⋰*⋻972=⋰*⋻1968","layer":3},{"info":"⋰*⋻4151⋳⪒⋰*⋻1739=⋰*⋻6423","layer":3},{"info":"⋰*⋻1968⨰⋰*⋻6423=⋰*⋻-4557","layer":2},{"info":"NaN*⋰*⋻-4557=NaN","layer":1},{"info":"⋰*⋻1776⇷⋰*⋻4740=⋰*⋻9380","layer":3},{"info":"-⋰*⋻9380=⋰*⋻-9380","layer":2},{"info":"⋰*⋻4A7A↬⋰*⋻1A20=NaN","layer":3},{"info":"NaN⊭∹↮=NaN","layer":2},{"info":"⋰*⋻-9380⪢NaN=NaN","layer":1},{"info":"NaN⨸⪁NaN=NaN","layer":0}]}
{"id":98,"expression_no_base_symbol":"(($6284$+⇶⊼$1009$)⊴($3173$∲⫓$2559$)⪨≂(↔($3668$⋝⋈⪟$1718$)))↬(($1294$↬$8364$-$5132$⋓$5792$)≎⊠⪸(≦∁$2521$%$5952$))","expression":"((⋰*⋻47A3+⇶⊼⋰*⋻838)⊴(⋰*⋻2425∲⫓⋰*⋻1A17)⪨≂(↔(⋰*⋻2835⋝⋈⪟⋰*⋻1322)))↬((⋰*⋻A77↬⋰*⋻6314-⋰*⋻3946⋓⋰*⋻4396)≎⊠⪸(≦∁⋰*⋻1992%⋰*⋻4521))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":55,"operation_count":13,"complexity_ratio":4.230769230769231,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":6284,"base":11},"right_expr":{"type":"numeric_atoms","value":1009,"base":11}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3173,"base":11},"right_expr":{"type":"numeric_atoms","value":2559,"base":11}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3668,"base":11},"right_expr":{"type":"numeric_atoms","value":1718,"base":11}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1294,"base":11},"right_expr":{"type":"numeric_atoms","value":8364,"base":11}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":5132,"base":11},"right_expr":{"type":"numeric_atoms","value":5792,"base":11}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2521,"base":11},"right_expr":{"type":"numeric_atoms","value":5952,"base":11}}}}},"used_operators":["B5M0gjZbta","sdazOOVcIp","Nsiff2A1zJ","TpPTUOHfaN","i8ToyICDmI","ruOEQAzv1W","2DDjHMKMc0","bJkvcejdHO","rysDP5nf3Z","T2fj7uvVaJ","9ICcGScMcE","k8jYdgA6NY"],"dependent_operators":["rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6284","layer":4},{"info":"number node, value=1009","layer":4},{"info":"compute binary expreesion, left_input=6284, 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":3},{"info":"number node, value=3173","layer":4},{"info":"number node, value=2559","layer":4},{"info":"compute binary expreesion, left_input=3173, right_input=2559, 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 = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":2},{"info":"number node, value=3668","layer":4},{"info":"number node, value=1718","layer":4},{"info":"compute binary expreesion, left_input=3668, right_input=1718, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3668","layer":3},{"info":"compute unary expreesion, input=3668, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3395","layer":2},{"info":"compute binary expreesion, left_input=-79, right_input=-3395, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=6734","layer":1},{"info":"number node, value=1294","layer":4},{"info":"number node, value=8364","layer":4},{"info":"compute binary expreesion, left_input=1294, right_input=8364, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=5132","layer":4},{"info":"number node, value=5792","layer":4},{"info":"compute binary expreesion, left_input=5132, right_input=5792, op_id = T2fj7uvVaJ binary_op_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 = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=2521","layer":4},{"info":"number node, value=5952","layer":4},{"info":"compute binary expreesion, left_input=2521, right_input=5952, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2521","layer":3},{"info":"compute unary expreesion, input=2521, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2521","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2521, 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=6734, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻47A3+⇶⊼⋰*⋻838)⊴(⋰*⋻2425∲⫓⋰*⋻1A17)⪨≂(↔(⋰*⋻2835⋝⋈⪟⋰*⋻1322)))↬((⋰*⋻A77↬⋰*⋻6314-⋰*⋻3946⋓⋰*⋻4396)≎⊠⪸(≦∁⋰*⋻1992%⋰*⋻4521))=NaN","reverse_text":"NaN=((⋰*⋻47A3+⇶⊼⋰*⋻838)⊴(⋰*⋻2425∲⫓⋰*⋻1A17)⪨≂(↔(⋰*⋻2835⋝⋈⪟⋰*⋻1322)))↬((⋰*⋻A77↬⋰*⋻6314-⋰*⋻3946⋓⋰*⋻4396)≎⊠⪸(≦∁⋰*⋻1992%⋰*⋻4521))","cot":[{"info":"⋰*⋻47A3+⇶⊼⋰*⋻838=NaN","layer":3},{"info":"⋰*⋻2425∲⫓⋰*⋻1A17=⋰*⋻0","layer":3},{"info":"NaN⊴⋰*⋻0=⋰*⋻-72","layer":2},{"info":"⋰*⋻2835⋝⋈⪟⋰*⋻1322=⋰*⋻2835","layer":3},{"info":"↔⋰*⋻2835=⋰*⋻-2607","layer":2},{"info":"⋰*⋻-72⪨≂⋰*⋻-2607=⋰*⋻5072","layer":1},{"info":"⋰*⋻A77↬⋰*⋻6314=NaN","layer":3},{"info":"⋰*⋻3946⋓⋰*⋻4396=⋰*⋻0","layer":3},{"info":"NaN-⋰*⋻0=NaN","layer":2},{"info":"⋰*⋻1992%⋰*⋻4521=⋰*⋻1992","layer":3},{"info":"≦∁⋰*⋻1992=⋰*⋻1992","layer":2},{"info":"NaN≎⊠⪸⋰*⋻1992=NaN","layer":1},{"info":"⋰*⋻5072↬NaN=NaN","layer":0}]}
{"id":99,"expression_no_base_symbol":"-(-$1103$↺$1747$)⩨(⋗⩬⋾(≦∁$2710$))","expression":"-(-⋰*⋻913↺⋰*⋻1349)⩨(⋗⩬⋾(≦∁⋰*⋻2044))","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":15,"operation_count":6,"complexity_ratio":2.5,"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":1103,"base":11},"right_expr":{"type":"numeric_atoms","value":1747,"base":11}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2710,"base":11}}}}},"used_operators":["t8gj7n24qd","2DlMacCsIx","7j4O788W3g","DpFCA1CohY","9ICcGScMcE"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"⋰*⋻11","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1103","layer":4},{"info":"number node, value=1747","layer":4},{"info":"compute binary expreesion, left_input=1103, right_input=1747, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1747","layer":3},{"info":"compute unary expreesion, input=1747, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1747","layer":2},{"info":"number node, value=2710","layer":4},{"info":"compute unary expreesion, input=2710, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2710","layer":3},{"info":"compute unary expreesion, input=2710, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-8130","layer":2},{"info":"compute binary expreesion, left_input=-1747, right_input=-8130, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-12","layer":1},{"info":"compute unary expreesion, input=-12, op_id = t8gj7n24qd, unary_op_definition = 'None', output=12","layer":0}],"base":11,"result_base":11,"text":"-(-⋰*⋻913↺⋰*⋻1349)⩨(⋗⩬⋾(≦∁⋰*⋻2044))=⋰*⋻11","reverse_text":"⋰*⋻11=-(-⋰*⋻913↺⋰*⋻1349)⩨(⋗⩬⋾(≦∁⋰*⋻2044))","cot":[{"info":"⋰*⋻913↺⋰*⋻1349=⋰*⋻1349","layer":3},{"info":"-⋰*⋻1349=⋰*⋻-1349","layer":2},{"info":"≦∁⋰*⋻2044=⋰*⋻2044","layer":3},{"info":"⋗⩬⋾⋰*⋻2044=⋰*⋻-6121","layer":2},{"info":"⋰*⋻-1349⩨⋰*⋻-6121=⋰*⋻-11","layer":1},{"info":"-⋰*⋻-11=⋰*⋻11","layer":0}]}
{"id":100,"expression_no_base_symbol":"((($1120$↬$5995$)⩠)∑⇟⊟(($2216$⇼⇔∾$3585$)↺$4130$⪛$6052$))⪮%⊝(⨈⫕($5093$⇼⇔∾$1666$⨸⪁$1533$⇷$4503$))","expression":"(((⋰*⋻929↬⋰*⋻4560)⩠)∑⇟⊟((⋰*⋻1735⇼⇔∾⋰*⋻276A)↺⋰*⋻3115⪛⋰*⋻4602))⪮%⊝(⨈⫕(⋰*⋻3910⇼⇔∾⋰*⋻1285⨸⪁⋰*⋻1174⇷⋰*⋻3424))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":21896,"operation_count":11,"complexity_ratio":1990.5454545454545,"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":1120,"base":11},"right_expr":{"type":"numeric_atoms","value":5995,"base":11}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2216,"base":11},"right_expr":{"type":"numeric_atoms","value":3585,"base":11}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":4130,"base":11},"right_expr":{"type":"numeric_atoms","value":6052,"base":11}}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":5093,"base":11},"right_expr":{"type":"numeric_atoms","value":1666,"base":11}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1533,"base":11},"right_expr":{"type":"numeric_atoms","value":4503,"base":11}}}}},"used_operators":["IWmyXbctLI","U7g4x0WXJJ","sJAwomhLZr","B5M0gjZbta","7j4O788W3g","tifHPKVTfV","uFcxV4UQCh","megm06wKyl","g55IO6H4Gj","mp7IySMOzn"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1120","layer":4},{"info":"number node, value=5995","layer":4},{"info":"compute binary expreesion, left_input=1120, right_input=5995, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=nan","layer":2},{"info":"number node, value=2216","layer":4},{"info":"number node, value=3585","layer":4},{"info":"compute binary expreesion, left_input=2216, right_input=3585, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1369","layer":3},{"info":"number node, value=4130","layer":4},{"info":"number node, value=6052","layer":4},{"info":"compute binary expreesion, left_input=4130, right_input=6052, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=4130","layer":3},{"info":"compute binary expreesion, left_input=1369, right_input=4130, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4130","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4130, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=5093","layer":4},{"info":"number node, value=1666","layer":4},{"info":"compute binary expreesion, left_input=5093, right_input=1666, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-3427","layer":3},{"info":"number node, value=1533","layer":4},{"info":"number node, value=4503","layer":4},{"info":"compute binary expreesion, left_input=1533, right_input=4503, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=9006","layer":3},{"info":"compute binary expreesion, left_input=-3427, right_input=9006, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=11158","layer":2},{"info":"compute unary expreesion, input=11158, 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 = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻929↬⋰*⋻4560)⩠)∑⇟⊟((⋰*⋻1735⇼⇔∾⋰*⋻276A)↺⋰*⋻3115⪛⋰*⋻4602))⪮%⊝(⨈⫕(⋰*⋻3910⇼⇔∾⋰*⋻1285⨸⪁⋰*⋻1174⇷⋰*⋻3424))=NaN","reverse_text":"NaN=(((⋰*⋻929↬⋰*⋻4560)⩠)∑⇟⊟((⋰*⋻1735⇼⇔∾⋰*⋻276A)↺⋰*⋻3115⪛⋰*⋻4602))⪮%⊝(⨈⫕(⋰*⋻3910⇼⇔∾⋰*⋻1285⨸⪁⋰*⋻1174⇷⋰*⋻3424))","cot":[{"info":"⋰*⋻929↬⋰*⋻4560=NaN","layer":3},{"info":"NaN⩠=NaN","layer":2},{"info":"⋰*⋻1735⇼⇔∾⋰*⋻276A=⋰*⋻1035","layer":3},{"info":"⋰*⋻3115⪛⋰*⋻4602=⋰*⋻3115","layer":3},{"info":"⋰*⋻1035↺⋰*⋻3115=⋰*⋻3115","layer":2},{"info":"NaN∑⇟⊟⋰*⋻3115=NaN","layer":1},{"info":"⋰*⋻3910⇼⇔∾⋰*⋻1285=⋰*⋻-2636","layer":3},{"info":"⋰*⋻1174⇷⋰*⋻3424=⋰*⋻6848","layer":3},{"info":"⋰*⋻-2636⨸⪁⋰*⋻6848=⋰*⋻8424","layer":2},{"info":"⨈⫕⋰*⋻8424=⋰*⋻-1A","layer":1},{"info":"NaN⪮%⊝⋰*⋻-1A=NaN","layer":0}]}
{"id":101,"expression_no_base_symbol":"$9237$⪮%⊝$8808$⪘⫢(⊥$1662$)⫥∨⫟(⨈⫕$1020$)∀⇚≩(↯⪼$2792$)⩨($6329$∑⇟⊟$4685$)⪢($8808$⋓$3083$)≭($6997$⋥≓≎$2603$*(↯⪼$2492$))","expression":"⋰*⋻6A38⪮%⊝⋰*⋻6688⪘⫢(⊥⋰*⋻1281)⫥∨⫟(⨈⫕⋰*⋻848)∀⇚≩(↯⪼⋰*⋻2109)⩨(⋰*⋻4834∑⇟⊟⋰*⋻357A)⪢(⋰*⋻6688⋓⋰*⋻2353)≭(⋰*⋻5291⋥≓≎⋰*⋻1A57*(↯⪼⋰*⋻1966))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":813,"operation_count":15,"complexity_ratio":54.2,"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":9237,"base":11},"right_expr":{"type":"numeric_atoms","value":8808,"base":11}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1662,"base":11}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1020,"base":11}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2792,"base":11}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":6329,"base":11},"right_expr":{"type":"numeric_atoms","value":4685,"base":11}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":8808,"base":11},"right_expr":{"type":"numeric_atoms","value":3083,"base":11}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":6997,"base":11},"right_expr":{"type":"numeric_atoms","value":2603,"base":11}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2492,"base":11}}}}},"used_operators":["2DlMacCsIx","KYD54nUTWz","oacrs7FA3X","IWmyXbctLI","Q3PJZHRvZv","LRNGc0VcxI","megm06wKyl","8jW3W4yZS5","rxpJgHHUmx","dWAJyo7jo9","U7g4x0WXJJ","T2fj7uvVaJ","9HNa5Wba9A","Qy55tPpLXF"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","8HhzD0ZcuI","rGHVDoGpnC","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","fu6greOZ01","X99M06cbEe","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","AHs5Up7iyr","k8jYdgA6NY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=9237","layer":4},{"info":"number node, value=8808","layer":4},{"info":"compute binary expreesion, left_input=9237, right_input=8808, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=18790","layer":3},{"info":"number node, value=1662","layer":4},{"info":"compute unary expreesion, input=1662, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=18790, 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=1020","layer":4},{"info":"compute unary expreesion, input=1020, 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=2792","layer":4},{"info":"compute unary expreesion, input=2792, 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 = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=-935330259","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-935330259, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=6329","layer":4},{"info":"number node, value=4685","layer":4},{"info":"compute binary expreesion, left_input=6329, right_input=4685, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=8808","layer":4},{"info":"number node, value=3083","layer":4},{"info":"compute binary expreesion, left_input=8808, right_input=3083, op_id = T2fj7uvVaJ binary_op_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 = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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=6997","layer":4},{"info":"number node, value=2603","layer":4},{"info":"compute binary expreesion, left_input=6997, right_input=2603, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1758","layer":3},{"info":"number node, value=2492","layer":4},{"info":"compute unary expreesion, input=2492, 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=-1758, right_input=-21, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=36918","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=36918, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⋰*⋻6A38⪮%⊝⋰*⋻6688⪘⫢(⊥⋰*⋻1281)⫥∨⫟(⨈⫕⋰*⋻848)∀⇚≩(↯⪼⋰*⋻2109)⩨(⋰*⋻4834∑⇟⊟⋰*⋻357A)⪢(⋰*⋻6688⋓⋰*⋻2353)≭(⋰*⋻5291⋥≓≎⋰*⋻1A57*(↯⪼⋰*⋻1966))=NaN","reverse_text":"NaN=⋰*⋻6A38⪮%⊝⋰*⋻6688⪘⫢(⊥⋰*⋻1281)⫥∨⫟(⨈⫕⋰*⋻848)∀⇚≩(↯⪼⋰*⋻2109)⩨(⋰*⋻4834∑⇟⊟⋰*⋻357A)⪢(⋰*⋻6688⋓⋰*⋻2353)≭(⋰*⋻5291⋥≓≎⋰*⋻1A57*(↯⪼⋰*⋻1966))","cot":[{"info":"⋰*⋻6A38⪮%⊝⋰*⋻6688=⋰*⋻13132","layer":3},{"info":"⊥⋰*⋻1281=NaN","layer":3},{"info":"⋰*⋻13132⪘⫢NaN=NaN","layer":2},{"info":"⨈⫕⋰*⋻848=⋰*⋻-1A","layer":3},{"info":"↯⪼⋰*⋻2109=⋰*⋻-1A","layer":3},{"info":"⋰*⋻-1A∀⇚≩⋰*⋻-1A=⋰*⋻-43AA73516","layer":2},{"info":"NaN⫥∨⫟⋰*⋻-43AA73516=NaN","layer":1},{"info":"⋰*⋻4834∑⇟⊟⋰*⋻357A=NaN","layer":3},{"info":"⋰*⋻6688⋓⋰*⋻2353=⋰*⋻0","layer":3},{"info":"NaN⪢⋰*⋻0=⋰*⋻0","layer":2},{"info":"⋰*⋻5291⋥≓≎⋰*⋻1A57=⋰*⋻-1359","layer":3},{"info":"↯⪼⋰*⋻1966=⋰*⋻-1A","layer":3},{"info":"⋰*⋻-1359*⋰*⋻-1A=⋰*⋻25812","layer":2},{"info":"⋰*⋻0≭⋰*⋻25812=NaN","layer":1},{"info":"NaN⩨NaN=NaN","layer":0}]}
{"id":102,"expression_no_base_symbol":"(↽≂($4781$⪄$2414$))∑⇟⊟($2522$⨪↰⇹$2285$⫸⊐$1245$⨓$7920$)⨽(⨑⩽⪐($2021$⪨≂$1672$)≧⫂∧(⩦⩻⨪$2499$))","expression":"(↽≂(⋰*⋻3657⪄⋰*⋻18A5))∑⇟⊟(⋰*⋻1993⨪↰⇹⋰*⋻1798⫸⊐⋰*⋻A32⨓⋰*⋻5A50)⨽(⨑⩽⪐(⋰*⋻1578⪨≂⋰*⋻1290)≧⫂∧(⩦⩻⨪⋰*⋻1972))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":10592,"operation_count":11,"complexity_ratio":962.9090909090909,"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":4781,"base":11},"right_expr":{"type":"numeric_atoms","value":2414,"base":11}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2522,"base":11},"right_expr":{"type":"numeric_atoms","value":2285,"base":11}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1245,"base":11},"right_expr":{"type":"numeric_atoms","value":7920,"base":11}}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2021,"base":11},"right_expr":{"type":"numeric_atoms","value":1672,"base":11}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2499,"base":11}}}}},"used_operators":["8HhzD0ZcuI","U7g4x0WXJJ","u6S6b8DprG","SUmda5xLS4","mqXw5SEYmG","tmPS8pqC7x","3ViojmjbAp","AF7qkfDlqP","Ph9nP6C5qx","sdazOOVcIp","2td37pGCOC"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rJVOvQCfKK","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4781","layer":4},{"info":"number node, value=2414","layer":4},{"info":"compute binary expreesion, left_input=4781, right_input=2414, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-713333","layer":3},{"info":"compute unary expreesion, input=-713333, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=1426666","layer":2},{"info":"number node, value=2522","layer":4},{"info":"number node, value=2285","layer":4},{"info":"compute binary expreesion, left_input=2522, right_input=2285, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2522","layer":3},{"info":"number node, value=1245","layer":4},{"info":"number node, value=7920","layer":4},{"info":"compute binary expreesion, left_input=1245, right_input=7920, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-7923","layer":3},{"info":"compute binary expreesion, left_input=2522, right_input=-7923, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-15975","layer":2},{"info":"compute binary expreesion, left_input=1426666, right_input=-15975, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=2021","layer":4},{"info":"number node, value=1672","layer":4},{"info":"compute binary expreesion, left_input=2021, right_input=1672, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=800","layer":3},{"info":"number node, value=2499","layer":4},{"info":"compute unary expreesion, input=2499, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2499","layer":3},{"info":"compute binary expreesion, left_input=800, right_input=2499, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2026","layer":2},{"info":"compute unary expreesion, input=2026, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1753","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1753, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(↽≂(⋰*⋻3657⪄⋰*⋻18A5))∑⇟⊟(⋰*⋻1993⨪↰⇹⋰*⋻1798⫸⊐⋰*⋻A32⨓⋰*⋻5A50)⨽(⨑⩽⪐(⋰*⋻1578⪨≂⋰*⋻1290)≧⫂∧(⩦⩻⨪⋰*⋻1972))=NaN","reverse_text":"NaN=(↽≂(⋰*⋻3657⪄⋰*⋻18A5))∑⇟⊟(⋰*⋻1993⨪↰⇹⋰*⋻1798⫸⊐⋰*⋻A32⨓⋰*⋻5A50)⨽(⨑⩽⪐(⋰*⋻1578⪨≂⋰*⋻1290)≧⫂∧(⩦⩻⨪⋰*⋻1972))","cot":[{"info":"⋰*⋻3657⪄⋰*⋻18A5=⋰*⋻-447A35","layer":3},{"info":"↽≂⋰*⋻-447A35=⋰*⋻89496A","layer":2},{"info":"⋰*⋻1993⨪↰⇹⋰*⋻1798=⋰*⋻1993","layer":3},{"info":"⋰*⋻A32⨓⋰*⋻5A50=⋰*⋻-5A53","layer":3},{"info":"⋰*⋻1993⫸⊐⋰*⋻-5A53=⋰*⋻-11003","layer":2},{"info":"⋰*⋻89496A∑⇟⊟⋰*⋻-11003=NaN","layer":1},{"info":"⋰*⋻1578⪨≂⋰*⋻1290=⋰*⋻668","layer":3},{"info":"⩦⩻⨪⋰*⋻1972=⋰*⋻1972","layer":3},{"info":"⋰*⋻668≧⫂∧⋰*⋻1972=⋰*⋻1582","layer":2},{"info":"⨑⩽⪐⋰*⋻1582=⋰*⋻-1354","layer":1},{"info":"NaN⨽⋰*⋻-1354=NaN","layer":0}]}
{"id":103,"expression_no_base_symbol":"(⨈⫕($2048$+⇶⊼$1912$⨁⊸⫻))+(⨈⫕($2607$⪘⫢$2304$+$1880$⪒$8398$))","expression":"(⨈⫕(⋰*⋻15A2+⇶⊼⋰*⋻1489⨁⊸⫻))+(⨈⫕(⋰*⋻1A60⪘⫢⋰*⋻1805+⋰*⋻145A⪒⋰*⋻6345))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":794,"operation_count":8,"complexity_ratio":99.25,"tree":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2048,"base":11},"right_expr":{"type":"numeric_atoms","value":1912,"base":11}}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2607,"base":11},"right_expr":{"type":"numeric_atoms","value":2304,"base":11}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1880,"base":11},"right_expr":{"type":"numeric_atoms","value":8398,"base":11}}}}},"used_operators":["W4YGzv6Whe","megm06wKyl","glklzrTFfD","TpPTUOHfaN","oacrs7FA3X","f6k1SAg4EE"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻-39","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2048","layer":4},{"info":"number node, value=1912","layer":4},{"info":"compute binary expreesion, left_input=2048, right_input=1912, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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 = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":1},{"info":"number node, value=2607","layer":4},{"info":"number node, value=2304","layer":4},{"info":"compute binary expreesion, left_input=2607, right_input=2304, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5090","layer":3},{"info":"number node, value=1880","layer":4},{"info":"number node, value=8398","layer":4},{"info":"compute binary expreesion, left_input=1880, right_input=8398, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-10278","layer":3},{"info":"compute binary expreesion, left_input=5090, right_input=-10278, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-5188","layer":2},{"info":"compute unary expreesion, input=-5188, 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=-21, right_input=-21, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-42","layer":0}],"base":11,"result_base":11,"text":"(⨈⫕(⋰*⋻15A2+⇶⊼⋰*⋻1489⨁⊸⫻))+(⨈⫕(⋰*⋻1A60⪘⫢⋰*⋻1805+⋰*⋻145A⪒⋰*⋻6345))=⋰*⋻-39","reverse_text":"⋰*⋻-39=(⨈⫕(⋰*⋻15A2+⇶⊼⋰*⋻1489⨁⊸⫻))+(⨈⫕(⋰*⋻1A60⪘⫢⋰*⋻1805+⋰*⋻145A⪒⋰*⋻6345))","cot":[{"info":"⋰*⋻15A2+⇶⊼⋰*⋻1489=NaN","layer":3},{"info":"NaN⨁⊸⫻=NaN","layer":2},{"info":"⨈⫕NaN=⋰*⋻-1A","layer":1},{"info":"⋰*⋻1A60⪘⫢⋰*⋻1805=⋰*⋻3908","layer":3},{"info":"⋰*⋻145A⪒⋰*⋻6345=⋰*⋻-77A4","layer":3},{"info":"⋰*⋻3908+⋰*⋻-77A4=⋰*⋻-3997","layer":2},{"info":"⨈⫕⋰*⋻-3997=⋰*⋻-1A","layer":1},{"info":"⋰*⋻-1A+⋰*⋻-1A=⋰*⋻-39","layer":0}]}
{"id":104,"expression_no_base_symbol":"(≦∁(↯⪼($2843$⨎$5414$)))⨁⊸⫻","expression":"(≦∁(↯⪼(⋰*⋻2155⨎⋰*⋻4082)))⨁⊸⫻","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":62,"operation_count":4,"complexity_ratio":15.5,"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":2843,"base":11},"right_expr":{"type":"numeric_atoms","value":5414,"base":11}}}}},"used_operators":["glklzrTFfD","9ICcGScMcE","8jW3W4yZS5","rJVOvQCfKK"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⋰*⋻-118","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2843","layer":4},{"info":"number node, value=5414","layer":4},{"info":"compute binary expreesion, left_input=2843, right_input=5414, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5414","layer":3},{"info":"compute unary expreesion, input=5414, 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 = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-70","layer":1},{"info":"compute unary expreesion, input=-70, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=-140","layer":0}],"base":11,"result_base":11,"text":"(≦∁(↯⪼(⋰*⋻2155⨎⋰*⋻4082)))⨁⊸⫻=⋰*⋻-118","reverse_text":"⋰*⋻-118=(≦∁(↯⪼(⋰*⋻2155⨎⋰*⋻4082)))⨁⊸⫻","cot":[{"info":"⋰*⋻2155⨎⋰*⋻4082=⋰*⋻4082","layer":3},{"info":"↯⪼⋰*⋻4082=⋰*⋻-1A","layer":2},{"info":"≦∁⋰*⋻-1A=⋰*⋻-64","layer":1},{"info":"⋰*⋻-64⨁⊸⫻=⋰*⋻-118","layer":0}]}
{"id":105,"expression_no_base_symbol":"↥(∂($1327$*$1122$))⩷∴($3256$*$4891$⨸⪁($2710$⊪))","expression":"↥(∂(⋰*⋻AA7*⋰*⋻930))⩷∴(⋰*⋻24A0*⋰*⋻3747⨸⪁(⋰*⋻2044⊪))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":4422,"operation_count":7,"complexity_ratio":631.7142857142857,"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":1327,"base":11},"right_expr":{"type":"numeric_atoms","value":1122,"base":11}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3256,"base":11},"right_expr":{"type":"numeric_atoms","value":4891,"base":11}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":2710,"base":11}}}}},"used_operators":["A8NUZmVepG","9FxExcQeMw","Uaa54Peajs","9HNa5Wba9A","g55IO6H4Gj","zVYPLywUTj"],"dependent_operators":["k8jYdgA6NY","rysDP5nf3Z","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","W4YGzv6Whe","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1327","layer":4},{"info":"number node, value=1122","layer":4},{"info":"compute binary expreesion, left_input=1327, right_input=1122, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=1488894","layer":3},{"info":"compute unary expreesion, input=1488894, 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=3256","layer":4},{"info":"number node, value=4891","layer":4},{"info":"compute binary expreesion, left_input=3256, right_input=4891, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=15925096","layer":3},{"info":"number node, value=2710","layer":4},{"info":"compute unary expreesion, input=2710, 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=15925096, right_input=0, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=31850192","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=31850192, 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 = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"↥(∂(⋰*⋻AA7*⋰*⋻930))⩷∴(⋰*⋻24A0*⋰*⋻3747⨸⪁(⋰*⋻2044⊪))=NaN","reverse_text":"NaN=↥(∂(⋰*⋻AA7*⋰*⋻930))⩷∴(⋰*⋻24A0*⋰*⋻3747⨸⪁(⋰*⋻2044⊪))","cot":[{"info":"⋰*⋻AA7*⋰*⋻930=⋰*⋻9276A0","layer":3},{"info":"∂⋰*⋻9276A0=NaN","layer":2},{"info":"⋰*⋻24A0*⋰*⋻3747=⋰*⋻8A97840","layer":3},{"info":"⋰*⋻2044⊪=⋰*⋻0","layer":3},{"info":"⋰*⋻8A97840⨸⪁⋰*⋻0=⋰*⋻16A84580","layer":2},{"info":"NaN⩷∴⋰*⋻16A84580=NaN","layer":1},{"info":"↥NaN=NaN","layer":0}]}
{"id":106,"expression_no_base_symbol":"(($3318$+⇶⊼$3231$)∑⇟⊟$3922$⪘⫢$2859$)⪮%⊝($2030$⫡⨏$4242$)≹⇙⪍($7150$↙$2425$)≎⊠⪸(($8276$⩨$1114$)⨐⩸⫘($2307$⊦⊿))⪮%⊝(($3381$∀⇚≩$3154$)↬(⨑⩽⪐$1405$))","expression":"((⋰*⋻2547+⇶⊼⋰*⋻2478)∑⇟⊟⋰*⋻2A46⪘⫢⋰*⋻216A)⪮%⊝(⋰*⋻1586⫡⨏⋰*⋻3207)≹⇙⪍(⋰*⋻5410↙⋰*⋻1905)≎⊠⪸((⋰*⋻6244⩨⋰*⋻923)⨐⩸⫘(⋰*⋻1808⊦⊿))⪮%⊝((⋰*⋻25A4∀⇚≩⋰*⋻2408)↬(⨑⩽⪐⋰*⋻1068))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":26165,"operation_count":15,"complexity_ratio":1744.3333333333333,"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":3318,"base":11},"right_expr":{"type":"numeric_atoms","value":3231,"base":11}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3922,"base":11},"right_expr":{"type":"numeric_atoms","value":2859,"base":11}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2030,"base":11},"right_expr":{"type":"numeric_atoms","value":4242,"base":11}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":7150,"base":11},"right_expr":{"type":"numeric_atoms","value":2425,"base":11}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":8276,"base":11},"right_expr":{"type":"numeric_atoms","value":1114,"base":11}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":2307,"base":11}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3381,"base":11},"right_expr":{"type":"numeric_atoms","value":3154,"base":11}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1405,"base":11}}}}},"used_operators":["bJkvcejdHO","IWmyXbctLI","U7g4x0WXJJ","TpPTUOHfaN","oacrs7FA3X","AHs5Up7iyr","QMFrweE19q","yyfyN0ffXY","fu6greOZ01","2DlMacCsIx","14qkJME0vr","B5M0gjZbta","LRNGc0VcxI","AF7qkfDlqP"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","3ViojmjbAp","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"⋰*⋻61","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3318","layer":4},{"info":"number node, value=3231","layer":4},{"info":"compute binary expreesion, left_input=3318, right_input=3231, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=3922","layer":4},{"info":"number node, value=2859","layer":4},{"info":"compute binary expreesion, left_input=3922, right_input=2859, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=7720","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7720, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=2030","layer":4},{"info":"number node, value=4242","layer":4},{"info":"compute binary expreesion, left_input=2030, right_input=4242, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=19417","layer":3},{"info":"number node, value=7150","layer":4},{"info":"number node, value=2425","layer":4},{"info":"compute binary expreesion, left_input=7150, right_input=2425, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-7275","layer":3},{"info":"compute binary expreesion, left_input=19417, right_input=-7275, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"number node, value=8276","layer":4},{"info":"number node, value=1114","layer":4},{"info":"compute binary expreesion, left_input=8276, right_input=1114, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=2307","layer":4},{"info":"compute unary expreesion, input=2307, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-7000","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-7000, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=3381","layer":4},{"info":"number node, value=3154","layer":4},{"info":"compute binary expreesion, left_input=3381, right_input=3154, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1405","layer":4},{"info":"compute unary expreesion, input=1405, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1132","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1132, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = 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 = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻2547+⇶⊼⋰*⋻2478)∑⇟⊟⋰*⋻2A46⪘⫢⋰*⋻216A)⪮%⊝(⋰*⋻1586⫡⨏⋰*⋻3207)≹⇙⪍(⋰*⋻5410↙⋰*⋻1905)≎⊠⪸((⋰*⋻6244⩨⋰*⋻923)⨐⩸⫘(⋰*⋻1808⊦⊿))⪮%⊝((⋰*⋻25A4∀⇚≩⋰*⋻2408)↬(⨑⩽⪐⋰*⋻1068))=⋰*⋻61","reverse_text":"⋰*⋻61=((⋰*⋻2547+⇶⊼⋰*⋻2478)∑⇟⊟⋰*⋻2A46⪘⫢⋰*⋻216A)⪮%⊝(⋰*⋻1586⫡⨏⋰*⋻3207)≹⇙⪍(⋰*⋻5410↙⋰*⋻1905)≎⊠⪸((⋰*⋻6244⩨⋰*⋻923)⨐⩸⫘(⋰*⋻1808⊦⊿))⪮%⊝((⋰*⋻25A4∀⇚≩⋰*⋻2408)↬(⨑⩽⪐⋰*⋻1068))","cot":[{"info":"⋰*⋻2547+⇶⊼⋰*⋻2478=NaN","layer":3},{"info":"⋰*⋻2A46⪘⫢⋰*⋻216A=⋰*⋻5889","layer":3},{"info":"NaN∑⇟⊟⋰*⋻5889=NaN","layer":2},{"info":"⋰*⋻1586⫡⨏⋰*⋻3207=⋰*⋻13652","layer":3},{"info":"⋰*⋻5410↙⋰*⋻1905=⋰*⋻-5514","layer":3},{"info":"⋰*⋻13652≹⇙⪍⋰*⋻-5514=NaN","layer":2},{"info":"NaN⪮%⊝NaN=NaN","layer":1},{"info":"⋰*⋻6244⩨⋰*⋻923=⋰*⋻0","layer":3},{"info":"⋰*⋻1808⊦⊿=⋰*⋻-5294","layer":3},{"info":"⋰*⋻0⨐⩸⫘⋰*⋻-5294=NaN","layer":2},{"info":"⋰*⋻25A4∀⇚≩⋰*⋻2408=NaN","layer":3},{"info":"⨑⩽⪐⋰*⋻1068=⋰*⋻-93A","layer":3},{"info":"NaN↬⋰*⋻-93A=NaN","layer":2},{"info":"NaN⪮%⊝NaN=NaN","layer":1},{"info":"NaN≎⊠⪸NaN=⋰*⋻61","layer":0}]}
{"id":107,"expression_no_base_symbol":"($6619$+⇶⊼$4652$⋳⪒(⪝⪂⫅$5484$)⨵⪆(↽≂($2104$⊪)))⨟⋌⩍((↩$2300$⪢$2989$)+⇶⊼(($4024$-$5756$)⪒$2311$⨟⋌⩍$2609$))","expression":"(⋰*⋻4A78+⇶⊼⋰*⋻354A⋳⪒(⪝⪂⫅⋰*⋻4136)⨵⪆(↽≂(⋰*⋻1643⊪)))⨟⋌⩍((↩⋰*⋻1801⪢⋰*⋻2278)+⇶⊼((⋰*⋻3029-⋰*⋻4363)⪒⋰*⋻1811⨟⋌⩍⋰*⋻1A62))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3210,"operation_count":13,"complexity_ratio":246.92307692307693,"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":6619,"base":11},"right_expr":{"type":"numeric_atoms","value":4652,"base":11}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":5484,"base":11}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":2104,"base":11}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2300,"base":11},"right_expr":{"type":"numeric_atoms","value":2989,"base":11}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4024,"base":11},"right_expr":{"type":"numeric_atoms","value":5756,"base":11}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2311,"base":11},"right_expr":{"type":"numeric_atoms","value":2609,"base":11}}}}},"used_operators":["rGHVDoGpnC","2DQ55sFlQl","12rbrZMWeM","TpPTUOHfaN","XTarYq4gQB","u6S6b8DprG","zVYPLywUTj","jLgFTUHLKL","dWAJyo7jo9","f6k1SAg4EE","rysDP5nf3Z"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6619","layer":4},{"info":"number node, value=4652","layer":4},{"info":"compute binary expreesion, left_input=6619, right_input=4652, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=5484","layer":4},{"info":"compute unary expreesion, input=5484, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-806148","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-806148, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"number node, value=2104","layer":4},{"info":"compute unary expreesion, input=2104, 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 = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=2300","layer":4},{"info":"number node, value=2989","layer":4},{"info":"compute binary expreesion, left_input=2300, right_input=2989, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=4024","layer":4},{"info":"number node, value=5756","layer":4},{"info":"compute binary expreesion, left_input=4024, right_input=5756, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1732","layer":3},{"info":"number node, value=2311","layer":4},{"info":"number node, value=2609","layer":4},{"info":"compute binary expreesion, left_input=2311, right_input=2609, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=-1732, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=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":0}],"base":11,"result_base":11,"text":"(⋰*⋻4A78+⇶⊼⋰*⋻354A⋳⪒(⪝⪂⫅⋰*⋻4136)⨵⪆(↽≂(⋰*⋻1643⊪)))⨟⋌⩍((↩⋰*⋻1801⪢⋰*⋻2278)+⇶⊼((⋰*⋻3029-⋰*⋻4363)⪒⋰*⋻1811⨟⋌⩍⋰*⋻1A62))=NaN","reverse_text":"NaN=(⋰*⋻4A78+⇶⊼⋰*⋻354A⋳⪒(⪝⪂⫅⋰*⋻4136)⨵⪆(↽≂(⋰*⋻1643⊪)))⨟⋌⩍((↩⋰*⋻1801⪢⋰*⋻2278)+⇶⊼((⋰*⋻3029-⋰*⋻4363)⪒⋰*⋻1811⨟⋌⩍⋰*⋻1A62))","cot":[{"info":"⋰*⋻4A78+⇶⊼⋰*⋻354A=NaN","layer":3},{"info":"⪝⪂⫅⋰*⋻4136=⋰*⋻-500742","layer":3},{"info":"NaN⋳⪒⋰*⋻-500742=NaN","layer":2},{"info":"⋰*⋻1643⊪=⋰*⋻0","layer":3},{"info":"↽≂⋰*⋻0=⋰*⋻0","layer":2},{"info":"NaN⨵⪆⋰*⋻0=⋰*⋻136","layer":1},{"info":"⋰*⋻1801⪢⋰*⋻2278=NaN","layer":3},{"info":"↩NaN=NaN","layer":2},{"info":"⋰*⋻3029-⋰*⋻4363=⋰*⋻-1335","layer":3},{"info":"⋰*⋻1811⨟⋌⩍⋰*⋻1A62=NaN","layer":3},{"info":"⋰*⋻-1335⪒NaN=NaN","layer":2},{"info":"NaN+⇶⊼NaN=NaN","layer":1},{"info":"⋰*⋻136⨟⋌⩍NaN=NaN","layer":0}]}
{"id":108,"expression_no_base_symbol":"(↣≠⋷($3046$⨽$2245$))⨟⋌⩍($3206$⨰$2357$-$3261$≎⊠⪸$9118$)⇼⇔∾($1020$∀⇚≩$2664$*(↩$1674$))≹⇙⪍(($2871$⨸⪁$1734$)⨟⋌⩍($1239$⪄$1032$))","expression":"(↣≠⋷(⋰*⋻231A⨽⋰*⋻1761))⨟⋌⩍(⋰*⋻2455⨰⋰*⋻1853-⋰*⋻24A5≎⊠⪸⋰*⋻693A)⇼⇔∾(⋰*⋻848∀⇚≩⋰*⋻2002*(↩⋰*⋻1292))≹⇙⪍((⋰*⋻2180⨸⪁⋰*⋻1337)⨟⋌⩍(⋰*⋻A27⪄⋰*⋻859))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":10595,"operation_count":14,"complexity_ratio":756.7857142857143,"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":3046,"base":11},"right_expr":{"type":"numeric_atoms","value":2245,"base":11}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3206,"base":11},"right_expr":{"type":"numeric_atoms","value":2357,"base":11}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3261,"base":11},"right_expr":{"type":"numeric_atoms","value":9118,"base":11}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1020,"base":11},"right_expr":{"type":"numeric_atoms","value":2664,"base":11}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1674,"base":11}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2871,"base":11},"right_expr":{"type":"numeric_atoms","value":1734,"base":11}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1239,"base":11},"right_expr":{"type":"numeric_atoms","value":1032,"base":11}}}}},"used_operators":["tifHPKVTfV","rGHVDoGpnC","Asc51vEJeQ","8HhzD0ZcuI","rysDP5nf3Z","eewbuw0ToL","bJkvcejdHO","AHs5Up7iyr","9HNa5Wba9A","LRNGc0VcxI","jLgFTUHLKL","g55IO6H4Gj","SUmda5xLS4"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","XhwjNDsVaA","AHs5Up7iyr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","W4YGzv6Whe","X99M06cbEe","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3046","layer":4},{"info":"number node, value=2245","layer":4},{"info":"compute binary expreesion, left_input=3046, right_input=2245, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-27839769","layer":3},{"info":"compute unary expreesion, input=-27839769, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=3206","layer":4},{"info":"number node, value=2357","layer":4},{"info":"compute binary expreesion, left_input=3206, right_input=2357, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=859","layer":3},{"info":"number node, value=3261","layer":4},{"info":"number node, value=9118","layer":4},{"info":"compute binary expreesion, left_input=3261, right_input=9118, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=844126","layer":3},{"info":"compute binary expreesion, left_input=859, right_input=844126, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-843267","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-843267, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1020","layer":4},{"info":"number node, value=2664","layer":4},{"info":"compute binary expreesion, left_input=1020, right_input=2664, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1674","layer":4},{"info":"compute unary expreesion, input=1674, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-10612","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-10612, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=2871","layer":4},{"info":"number node, value=1734","layer":4},{"info":"compute binary expreesion, left_input=2871, right_input=1734, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9210","layer":3},{"info":"number node, value=1239","layer":4},{"info":"number node, value=1032","layer":4},{"info":"compute binary expreesion, left_input=1239, right_input=1032, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-183589","layer":3},{"info":"compute binary expreesion, left_input=9210, right_input=-183589, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(↣≠⋷(⋰*⋻231A⨽⋰*⋻1761))⨟⋌⩍(⋰*⋻2455⨰⋰*⋻1853-⋰*⋻24A5≎⊠⪸⋰*⋻693A)⇼⇔∾(⋰*⋻848∀⇚≩⋰*⋻2002*(↩⋰*⋻1292))≹⇙⪍((⋰*⋻2180⨸⪁⋰*⋻1337)⨟⋌⩍(⋰*⋻A27⪄⋰*⋻859))=NaN","reverse_text":"NaN=(↣≠⋷(⋰*⋻231A⨽⋰*⋻1761))⨟⋌⩍(⋰*⋻2455⨰⋰*⋻1853-⋰*⋻24A5≎⊠⪸⋰*⋻693A)⇼⇔∾(⋰*⋻848∀⇚≩⋰*⋻2002*(↩⋰*⋻1292))≹⇙⪍((⋰*⋻2180⨸⪁⋰*⋻1337)⨟⋌⩍(⋰*⋻A27⪄⋰*⋻859))","cot":[{"info":"⋰*⋻231A⨽⋰*⋻1761=⋰*⋻-14795481","layer":3},{"info":"↣≠⋷⋰*⋻-14795481=NaN","layer":2},{"info":"⋰*⋻2455⨰⋰*⋻1853=⋰*⋻711","layer":3},{"info":"⋰*⋻24A5≎⊠⪸⋰*⋻693A=⋰*⋻527228","layer":3},{"info":"⋰*⋻711-⋰*⋻527228=⋰*⋻-526617","layer":2},{"info":"NaN⨟⋌⩍⋰*⋻-526617=NaN","layer":1},{"info":"⋰*⋻848∀⇚≩⋰*⋻2002=NaN","layer":3},{"info":"↩⋰*⋻1292=⋰*⋻-7A78","layer":3},{"info":"NaN*⋰*⋻-7A78=NaN","layer":2},{"info":"⋰*⋻2180⨸⪁⋰*⋻1337=⋰*⋻6A13","layer":3},{"info":"⋰*⋻A27⪄⋰*⋻859=⋰*⋻-115A2A","layer":3},{"info":"⋰*⋻6A13⨟⋌⩍⋰*⋻-115A2A=NaN","layer":2},{"info":"NaN≹⇙⪍NaN=NaN","layer":1},{"info":"NaN⇼⇔∾NaN=NaN","layer":0}]}
{"id":109,"expression_no_base_symbol":"($5741$⨟⋌⩍$2763$⨽$3403$≹⇙⪍$5577$)⇷(⊄⩳↩(⫛⫱⨽$2462$))↙(($2563$≧⫂∧$1407$⪨≂($1322$+$1459$))⊭↱($2793$⪘⫢$1173$*$2509$⨰$1410$))","expression":"(⋰*⋻434A⨟⋌⩍⋰*⋻2092⨽⋰*⋻2614≹⇙⪍⋰*⋻4210)⇷(⊄⩳↩(⫛⫱⨽⋰*⋻1939))↙((⋰*⋻1A20≧⫂∧⋰*⋻106A⪨≂(⋰*⋻AA2+⋰*⋻1107))⊭↱(⋰*⋻210A⪘⫢⋰*⋻977*⋰*⋻1981⨰⋰*⋻1072))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2588,"operation_count":14,"complexity_ratio":184.85714285714286,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":5741,"base":11},"right_expr":{"type":"numeric_atoms","value":2763,"base":11}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3403,"base":11},"right_expr":{"type":"numeric_atoms","value":5577,"base":11}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2462,"base":11}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2563,"base":11},"right_expr":{"type":"numeric_atoms","value":1407,"base":11}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1322,"base":11},"right_expr":{"type":"numeric_atoms","value":1459,"base":11}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2793,"base":11},"right_expr":{"type":"numeric_atoms","value":1173,"base":11}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2509,"base":11},"right_expr":{"type":"numeric_atoms","value":1410,"base":11}}}}},"used_operators":["yyfyN0ffXY","mp7IySMOzn","8HhzD0ZcuI","rGHVDoGpnC","AHs5Up7iyr","8w2t5hMYqp","DlLNRPXxWL","COABgblf1C","sdazOOVcIp","Ph9nP6C5qx","W4YGzv6Whe","9HNa5Wba9A","oacrs7FA3X","eewbuw0ToL"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","Tcnh7f0tEr","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5741","layer":4},{"info":"number node, value=2763","layer":4},{"info":"compute binary expreesion, left_input=5741, right_input=2763, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=3403","layer":4},{"info":"number node, value=5577","layer":4},{"info":"compute binary expreesion, left_input=3403, right_input=5577, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=2462","layer":4},{"info":"compute unary expreesion, input=2462, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', 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 = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":1},{"info":"number node, value=2563","layer":4},{"info":"number node, value=1407","layer":4},{"info":"compute binary expreesion, left_input=2563, right_input=1407, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=934","layer":3},{"info":"number node, value=1322","layer":4},{"info":"number node, value=1459","layer":4},{"info":"compute binary expreesion, left_input=1322, right_input=1459, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2781","layer":3},{"info":"compute binary expreesion, left_input=934, right_input=2781, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-3592","layer":2},{"info":"number node, value=2793","layer":4},{"info":"number node, value=1173","layer":4},{"info":"compute binary expreesion, left_input=2793, right_input=1173, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5462","layer":3},{"info":"number node, value=2509","layer":4},{"info":"number node, value=1410","layer":4},{"info":"compute binary expreesion, left_input=2509, right_input=1410, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1109","layer":3},{"info":"compute binary expreesion, left_input=5462, right_input=1109, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=6057358","layer":2},{"info":"compute binary expreesion, left_input=-3592, right_input=6057358, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=12121905","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=12121905, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻434A⨟⋌⩍⋰*⋻2092⨽⋰*⋻2614≹⇙⪍⋰*⋻4210)⇷(⊄⩳↩(⫛⫱⨽⋰*⋻1939))↙((⋰*⋻1A20≧⫂∧⋰*⋻106A⪨≂(⋰*⋻AA2+⋰*⋻1107))⊭↱(⋰*⋻210A⪘⫢⋰*⋻977*⋰*⋻1981⨰⋰*⋻1072))=⋰*⋻0","reverse_text":"⋰*⋻0=(⋰*⋻434A⨟⋌⩍⋰*⋻2092⨽⋰*⋻2614≹⇙⪍⋰*⋻4210)⇷(⊄⩳↩(⫛⫱⨽⋰*⋻1939))↙((⋰*⋻1A20≧⫂∧⋰*⋻106A⪨≂(⋰*⋻AA2+⋰*⋻1107))⊭↱(⋰*⋻210A⪘⫢⋰*⋻977*⋰*⋻1981⨰⋰*⋻1072))","cot":[{"info":"⋰*⋻434A⨟⋌⩍⋰*⋻2092=NaN","layer":3},{"info":"⋰*⋻2614≹⇙⪍⋰*⋻4210=NaN","layer":3},{"info":"NaN⨽NaN=NaN","layer":2},{"info":"⫛⫱⨽⋰*⋻1939=⋰*⋻0","layer":3},{"info":"⊄⩳↩⋰*⋻0=⋰*⋻0","layer":2},{"info":"NaN⇷⋰*⋻0=⋰*⋻0","layer":1},{"info":"⋰*⋻1A20≧⫂∧⋰*⋻106A=⋰*⋻77A","layer":3},{"info":"⋰*⋻AA2+⋰*⋻1107=⋰*⋻20A9","layer":3},{"info":"⋰*⋻77A⪨≂⋰*⋻20A9=⋰*⋻-2776","layer":2},{"info":"⋰*⋻210A⪘⫢⋰*⋻977=⋰*⋻4116","layer":3},{"info":"⋰*⋻1981⨰⋰*⋻1072=⋰*⋻919","layer":3},{"info":"⋰*⋻4116*⋰*⋻919=⋰*⋻3467A8A","layer":2},{"info":"⋰*⋻-2776⊭↱⋰*⋻3467A8A=⋰*⋻692A404","layer":1},{"info":"⋰*⋻0↙⋰*⋻692A404=⋰*⋻0","layer":0}]}
{"id":110,"expression_no_base_symbol":"(⨑⩽⪐((≉$1620$)⪄$1074$≧⫂∧$1938$))⊦⊿","expression":"(⨑⩽⪐((≉⋰*⋻1243)⪄⋰*⋻897≧⫂∧⋰*⋻1502))⊦⊿","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":111,"operation_count":5,"complexity_ratio":22.2,"tree":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1620,"base":11}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1074,"base":11},"right_expr":{"type":"numeric_atoms","value":1938,"base":11}}}}},"used_operators":["14qkJME0vr","AF7qkfDlqP","SUmda5xLS4","e1ybzncUwg","Ph9nP6C5qx"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⋰*⋻-10A4779","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1620","layer":4},{"info":"compute unary expreesion, input=1620, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2151","layer":3},{"info":"number node, value=1074","layer":4},{"info":"number node, value=1938","layer":4},{"info":"compute binary expreesion, left_input=1074, right_input=1938, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1465","layer":3},{"info":"compute binary expreesion, left_input=2151, right_input=1465, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-320297","layer":2},{"info":"compute unary expreesion, input=-320297, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=641383","layer":1},{"info":"compute unary expreesion, input=641383, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-1924228","layer":0}],"base":11,"result_base":11,"text":"(⨑⩽⪐((≉⋰*⋻1243)⪄⋰*⋻897≧⫂∧⋰*⋻1502))⊦⊿=⋰*⋻-10A4779","reverse_text":"⋰*⋻-10A4779=(⨑⩽⪐((≉⋰*⋻1243)⪄⋰*⋻897≧⫂∧⋰*⋻1502))⊦⊿","cot":[{"info":"≉⋰*⋻1243=⋰*⋻1686","layer":3},{"info":"⋰*⋻897≧⫂∧⋰*⋻1502=⋰*⋻1112","layer":3},{"info":"⋰*⋻1686⪄⋰*⋻1112=⋰*⋻-1A970A","layer":2},{"info":"⨑⩽⪐⋰*⋻-1A970A=⋰*⋻3A8976","layer":1},{"info":"⋰*⋻3A8976⊦⊿=⋰*⋻-10A4779","layer":0}]}
{"id":111,"expression_no_base_symbol":"(((≦∁$7457$)+⇶⊼(↔$1666$))⨪↰⇹(⨵≀≌($3385$⨁⊸⫻)))⨪↰⇹((≉$1106$)⪄($4069$≫≃))⪛($4884$∑⇟⊟$3963$⊦⊿)","expression":"(((≦∁⋰*⋻566A)+⇶⊼(↔⋰*⋻1285))⨪↰⇹(⨵≀≌(⋰*⋻25A8⨁⊸⫻)))⨪↰⇹((≉⋰*⋻916)⪄(⋰*⋻306A≫≃))⪛(⋰*⋻3740∑⇟⊟⋰*⋻2A83⊦⊿)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":130,"operation_count":13,"complexity_ratio":10.0,"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":7457,"base":11}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1666,"base":11}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":3385,"base":11}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1106,"base":11}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":4069,"base":11}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":4884,"base":11},"right_expr":{"type":"numeric_atoms","value":3963,"base":11}}}}},"used_operators":["tmPS8pqC7x","TpPTUOHfaN","9ICcGScMcE","ruOEQAzv1W","srAu1WTS94","glklzrTFfD","uFcxV4UQCh","SUmda5xLS4","e1ybzncUwg","X99M06cbEe","14qkJME0vr","U7g4x0WXJJ"],"dependent_operators":["rJVOvQCfKK","AHs5Up7iyr","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7457","layer":4},{"info":"compute unary expreesion, input=7457, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=7457","layer":3},{"info":"number node, value=1666","layer":4},{"info":"compute unary expreesion, input=1666, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1393","layer":3},{"info":"compute binary expreesion, left_input=7457, right_input=-1393, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=3385","layer":4},{"info":"compute unary expreesion, input=3385, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=3385","layer":3},{"info":"compute unary expreesion, input=3385, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-10155","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-10155, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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=1106","layer":4},{"info":"compute unary expreesion, input=1106, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1637","layer":3},{"info":"number node, value=4069","layer":4},{"info":"compute unary expreesion, input=4069, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=9539","layer":3},{"info":"compute binary expreesion, left_input=1637, right_input=9539, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-276521","layer":2},{"info":"number node, value=4884","layer":4},{"info":"number node, value=3963","layer":4},{"info":"compute binary expreesion, left_input=4884, right_input=3963, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-276521, 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 = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((≦∁⋰*⋻566A)+⇶⊼(↔⋰*⋻1285))⨪↰⇹(⨵≀≌(⋰*⋻25A8⨁⊸⫻)))⨪↰⇹((≉⋰*⋻916)⪄(⋰*⋻306A≫≃))⪛(⋰*⋻3740∑⇟⊟⋰*⋻2A83⊦⊿)=NaN","reverse_text":"NaN=(((≦∁⋰*⋻566A)+⇶⊼(↔⋰*⋻1285))⨪↰⇹(⨵≀≌(⋰*⋻25A8⨁⊸⫻)))⨪↰⇹((≉⋰*⋻916)⪄(⋰*⋻306A≫≃))⪛(⋰*⋻3740∑⇟⊟⋰*⋻2A83⊦⊿)","cot":[{"info":"≦∁⋰*⋻566A=⋰*⋻566A","layer":3},{"info":"↔⋰*⋻1285=⋰*⋻-1057","layer":3},{"info":"⋰*⋻566A+⇶⊼⋰*⋻-1057=NaN","layer":2},{"info":"⋰*⋻25A8⨁⊸⫻=⋰*⋻25A8","layer":3},{"info":"⨵≀≌⋰*⋻25A8=⋰*⋻-76A2","layer":2},{"info":"NaN⨪↰⇹⋰*⋻-76A2=NaN","layer":1},{"info":"≉⋰*⋻916=⋰*⋻1259","layer":3},{"info":"⋰*⋻306A≫≃=⋰*⋻7192","layer":3},{"info":"⋰*⋻1259⪄⋰*⋻7192=⋰*⋻-179833","layer":2},{"info":"⋰*⋻3740∑⇟⊟⋰*⋻2A83=NaN","layer":3},{"info":"NaN⊦⊿=NaN","layer":2},{"info":"⋰*⋻-179833⪛NaN=NaN","layer":1},{"info":"NaN⨪↰⇹NaN=NaN","layer":0}]}
{"id":112,"expression_no_base_symbol":"⨈⫕((↽≂$6774$∑⇟⊟$1276$)∲⫓(⫛⫱⨽$4018$)∀⇚≩($1582$/$3415$))","expression":"⨈⫕((↽≂⋰*⋻50A9∑⇟⊟⋰*⋻A60)∲⫓(⫛⫱⨽⋰*⋻3023)∀⇚≩(⋰*⋻1209/⋰*⋻2625))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1815,"operation_count":7,"complexity_ratio":259.2857142857143,"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":6774,"base":11},"right_expr":{"type":"numeric_atoms","value":1276,"base":11}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":4018,"base":11}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1582,"base":11},"right_expr":{"type":"numeric_atoms","value":3415,"base":11}}}}},"used_operators":["megm06wKyl","i8ToyICDmI","u6S6b8DprG","U7g4x0WXJJ","LRNGc0VcxI","DlLNRPXxWL","XhwjNDsVaA"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","X99M06cbEe","rGHVDoGpnC","rysDP5nf3Z"],"result":"⋰*⋻-1A","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=6774","layer":4},{"info":"number node, value=1276","layer":4},{"info":"compute binary expreesion, left_input=6774, right_input=1276, 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=4018","layer":4},{"info":"compute unary expreesion, input=4018, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=1582","layer":4},{"info":"number node, value=3415","layer":4},{"info":"compute binary expreesion, left_input=1582, right_input=3415, op_id = XhwjNDsVaA binary_op_definition= 'None', 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":"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":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":11,"result_base":11,"text":"⨈⫕((↽≂⋰*⋻50A9∑⇟⊟⋰*⋻A60)∲⫓(⫛⫱⨽⋰*⋻3023)∀⇚≩(⋰*⋻1209/⋰*⋻2625))=⋰*⋻-1A","reverse_text":"⋰*⋻-1A=⨈⫕((↽≂⋰*⋻50A9∑⇟⊟⋰*⋻A60)∲⫓(⫛⫱⨽⋰*⋻3023)∀⇚≩(⋰*⋻1209/⋰*⋻2625))","cot":[{"info":"⋰*⋻50A9∑⇟⊟⋰*⋻A60=NaN","layer":3},{"info":"↽≂NaN=NaN","layer":2},{"info":"⫛⫱⨽⋰*⋻3023=⋰*⋻0","layer":3},{"info":"⋰*⋻1209/⋰*⋻2625=⋰*⋻0","layer":3},{"info":"⋰*⋻0∀⇚≩⋰*⋻0=⋰*⋻0","layer":2},{"info":"NaN∲⫓⋰*⋻0=NaN","layer":1},{"info":"⨈⫕NaN=⋰*⋻-1A","layer":0}]}
{"id":113,"expression_no_base_symbol":"((+⊝⨔$2542$)⨰($4885$⨎$1769$)⇼⇔∾($3807$⫸⊐$3733$)↬$4639$↬$1645$)⊴(($3393$+⇶⊼$2178$⫌⩹⨱)∼(∥⊫$1431$⋝⋈⪟$3593$))","expression":"((+⊝⨔⋰*⋻1A01)⨰(⋰*⋻3741⨎⋰*⋻1369)⇼⇔∾(⋰*⋻2951⫸⊐⋰*⋻2894)↬⋰*⋻3538↬⋰*⋻1266)⊴((⋰*⋻2605+⇶⊼⋰*⋻1700⫌⩹⨱)∼(∥⊫⋰*⋻1091⋝⋈⪟⋰*⋻2777))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":100,"operation_count":13,"complexity_ratio":7.6923076923076925,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2542,"base":11}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4885,"base":11},"right_expr":{"type":"numeric_atoms","value":1769,"base":11}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3807,"base":11},"right_expr":{"type":"numeric_atoms","value":3733,"base":11}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4639,"base":11},"right_expr":{"type":"numeric_atoms","value":1645,"base":11}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3393,"base":11},"right_expr":{"type":"numeric_atoms","value":2178,"base":11}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1431,"base":11},"right_expr":{"type":"numeric_atoms","value":3593,"base":11}}}}},"used_operators":["Nsiff2A1zJ","tifHPKVTfV","eewbuw0ToL","DhbWaqg5eL","rJVOvQCfKK","B5M0gjZbta","mqXw5SEYmG","DyGG3AbaNP","EBcxylXtPf","TpPTUOHfaN","P8v4zCKN1o","2DDjHMKMc0"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rGHVDoGpnC","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2542","layer":4},{"info":"compute unary expreesion, input=2542, 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=4885","layer":4},{"info":"number node, value=1769","layer":4},{"info":"compute binary expreesion, left_input=4885, right_input=1769, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1769","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=1769, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-237","layer":2},{"info":"number node, value=3807","layer":4},{"info":"number node, value=3733","layer":4},{"info":"compute binary expreesion, left_input=3807, right_input=3733, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=14807","layer":3},{"info":"number node, value=4639","layer":4},{"info":"number node, value=1645","layer":4},{"info":"compute binary expreesion, left_input=4639, right_input=1645, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=14807, 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=-237, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=3393","layer":4},{"info":"number node, value=2178","layer":4},{"info":"compute binary expreesion, left_input=3393, right_input=2178, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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 = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=nan","layer":2},{"info":"number node, value=1431","layer":4},{"info":"number node, value=3593","layer":4},{"info":"compute binary expreesion, left_input=1431, right_input=3593, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1431","layer":3},{"info":"compute unary expreesion, input=1431, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2299","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2299, 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 = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((+⊝⨔⋰*⋻1A01)⨰(⋰*⋻3741⨎⋰*⋻1369)⇼⇔∾(⋰*⋻2951⫸⊐⋰*⋻2894)↬⋰*⋻3538↬⋰*⋻1266)⊴((⋰*⋻2605+⇶⊼⋰*⋻1700⫌⩹⨱)∼(∥⊫⋰*⋻1091⋝⋈⪟⋰*⋻2777))=NaN","reverse_text":"NaN=((+⊝⨔⋰*⋻1A01)⨰(⋰*⋻3741⨎⋰*⋻1369)⇼⇔∾(⋰*⋻2951⫸⊐⋰*⋻2894)↬⋰*⋻3538↬⋰*⋻1266)⊴((⋰*⋻2605+⇶⊼⋰*⋻1700⫌⩹⨱)∼(∥⊫⋰*⋻1091⋝⋈⪟⋰*⋻2777))","cot":[{"info":"+⊝⨔⋰*⋻1A01=⋰*⋻1164","layer":3},{"info":"⋰*⋻3741⨎⋰*⋻1369=⋰*⋻1369","layer":3},{"info":"⋰*⋻1164⨰⋰*⋻1369=⋰*⋻-1A6","layer":2},{"info":"⋰*⋻2951⫸⊐⋰*⋻2894=⋰*⋻10141","layer":3},{"info":"⋰*⋻3538↬⋰*⋻1266=NaN","layer":3},{"info":"⋰*⋻10141↬NaN=NaN","layer":2},{"info":"⋰*⋻-1A6⇼⇔∾NaN=NaN","layer":1},{"info":"⋰*⋻2605+⇶⊼⋰*⋻1700=NaN","layer":3},{"info":"NaN⫌⩹⨱=NaN","layer":2},{"info":"⋰*⋻1091⋝⋈⪟⋰*⋻2777=⋰*⋻1091","layer":3},{"info":"∥⊫⋰*⋻1091=⋰*⋻1800","layer":2},{"info":"NaN∼⋰*⋻1800=NaN","layer":1},{"info":"NaN⊴NaN=NaN","layer":0}]}
{"id":114,"expression_no_base_symbol":"∂($5596$∀⇚≩$5500$≭($2676$⊠≄⫣))⪮%⊝($2658$⪢$4403$↬(-$1166$))","expression":"∂(⋰*⋻4228∀⇚≩⋰*⋻4150≭(⋰*⋻2013⊠≄⫣))⪮%⊝(⋰*⋻1AA7⪢⋰*⋻3343↬(-⋰*⋻970))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":43591,"operation_count":8,"complexity_ratio":5448.875,"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":5596,"base":11},"right_expr":{"type":"numeric_atoms","value":5500,"base":11}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":2676,"base":11}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2658,"base":11},"right_expr":{"type":"numeric_atoms","value":4403,"base":11}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1166,"base":11}}}}},"used_operators":["Uaa54Peajs","IWmyXbctLI","rxpJgHHUmx","LRNGc0VcxI","DIvbN7qnHd","B5M0gjZbta","dWAJyo7jo9","t8gj7n24qd"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","AHs5Up7iyr","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5596","layer":4},{"info":"number node, value=5500","layer":4},{"info":"compute binary expreesion, left_input=5596, right_input=5500, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=2676","layer":4},{"info":"compute unary expreesion, input=2676, 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 = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=-22","layer":2},{"info":"number node, value=2658","layer":4},{"info":"number node, value=4403","layer":4},{"info":"compute binary expreesion, left_input=2658, right_input=4403, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1166","layer":4},{"info":"compute unary expreesion, input=1166, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1166","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1166, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=-22, 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 = 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":11,"result_base":11,"text":"∂(⋰*⋻4228∀⇚≩⋰*⋻4150≭(⋰*⋻2013⊠≄⫣))⪮%⊝(⋰*⋻1AA7⪢⋰*⋻3343↬(-⋰*⋻970))=NaN","reverse_text":"NaN=∂(⋰*⋻4228∀⇚≩⋰*⋻4150≭(⋰*⋻2013⊠≄⫣))⪮%⊝(⋰*⋻1AA7⪢⋰*⋻3343↬(-⋰*⋻970))","cot":[{"info":"⋰*⋻4228∀⇚≩⋰*⋻4150=NaN","layer":3},{"info":"⋰*⋻2013⊠≄⫣=⋰*⋻0","layer":3},{"info":"NaN≭⋰*⋻0=⋰*⋻-20","layer":2},{"info":"⋰*⋻1AA7⪢⋰*⋻3343=NaN","layer":3},{"info":"-⋰*⋻970=⋰*⋻-970","layer":3},{"info":"NaN↬⋰*⋻-970=NaN","layer":2},{"info":"⋰*⋻-20⪮%⊝NaN=NaN","layer":1},{"info":"∂NaN=NaN","layer":0}]}
{"id":115,"expression_no_base_symbol":"(($3219$⪘⫢$3754$⪐)⊦⊿)⪢($2130$≧⫂∧$1173$⩷∴($3140$⨁⊸⫻)⊦⊿)","expression":"((⋰*⋻2467⪘⫢⋰*⋻2903⪐)⊦⊿)⪢(⋰*⋻1667≧⫂∧⋰*⋻977⩷∴(⋰*⋻23A5⨁⊸⫻)⊦⊿)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":83321,"operation_count":8,"complexity_ratio":10415.125,"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":3219,"base":11},"right_expr":{"type":"numeric_atoms","value":3754,"base":11}}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2130,"base":11},"right_expr":{"type":"numeric_atoms","value":1173,"base":11}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":3140,"base":11}}}}},"used_operators":["dWAJyo7jo9","14qkJME0vr","eH2TOUuTDT","oacrs7FA3X","9FxExcQeMw","Ph9nP6C5qx","glklzrTFfD"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3219","layer":4},{"info":"number node, value=3754","layer":4},{"info":"compute binary expreesion, left_input=3219, right_input=3754, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6314","layer":3},{"info":"compute unary expreesion, input=6314, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=12628","layer":2},{"info":"compute unary expreesion, input=12628, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-37963","layer":1},{"info":"number node, value=2130","layer":4},{"info":"number node, value=1173","layer":4},{"info":"compute binary expreesion, left_input=2130, right_input=1173, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=700","layer":3},{"info":"number node, value=3140","layer":4},{"info":"compute unary expreesion, input=3140, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=3140","layer":3},{"info":"compute binary expreesion, left_input=700, right_input=3140, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-4912","layer":2},{"info":"compute unary expreesion, input=-4912, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=14657","layer":1},{"info":"compute binary expreesion, left_input=-37963, right_input=14657, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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":11,"result_base":11,"text":"((⋰*⋻2467⪘⫢⋰*⋻2903⪐)⊦⊿)⪢(⋰*⋻1667≧⫂∧⋰*⋻977⩷∴(⋰*⋻23A5⨁⊸⫻)⊦⊿)=NaN","reverse_text":"NaN=((⋰*⋻2467⪘⫢⋰*⋻2903⪐)⊦⊿)⪢(⋰*⋻1667≧⫂∧⋰*⋻977⩷∴(⋰*⋻23A5⨁⊸⫻)⊦⊿)","cot":[{"info":"⋰*⋻2467⪘⫢⋰*⋻2903=⋰*⋻4820","layer":3},{"info":"⋰*⋻4820⪐=⋰*⋻9540","layer":2},{"info":"⋰*⋻9540⊦⊿=⋰*⋻-26582","layer":1},{"info":"⋰*⋻1667≧⫂∧⋰*⋻977=⋰*⋻587","layer":3},{"info":"⋰*⋻23A5⨁⊸⫻=⋰*⋻23A5","layer":3},{"info":"⋰*⋻587⩷∴⋰*⋻23A5=⋰*⋻-3766","layer":2},{"info":"⋰*⋻-3766⊦⊿=⋰*⋻10015","layer":1},{"info":"⋰*⋻-26582⪢⋰*⋻10015=NaN","layer":0}]}
{"id":116,"expression_no_base_symbol":"(≉($1474$+⇶⊼$2443$⫡⨏(+⊝⨔$3365$)))≎⊠⪸((↯⪼($3053$⨓$2846$))∲⫓($1665$+$2247$)%$4282$∑⇟⊟$4757$)","expression":"(≉(⋰*⋻1120+⇶⊼⋰*⋻1921⫡⨏(+⊝⨔⋰*⋻258A)))≎⊠⪸((↯⪼(⋰*⋻2326⨓⋰*⋻2158))∲⫓(⋰*⋻1284+⋰*⋻1763)%⋰*⋻3243∑⇟⊟⋰*⋻3635)","highest_n_order":5,"priority_hierarchical_complexity":7,"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":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1474,"base":11},"right_expr":{"type":"numeric_atoms","value":2443,"base":11}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":3365,"base":11}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3053,"base":11},"right_expr":{"type":"numeric_atoms","value":2846,"base":11}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1665,"base":11},"right_expr":{"type":"numeric_atoms","value":2247,"base":11}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":4282,"base":11},"right_expr":{"type":"numeric_atoms","value":4757,"base":11}}}}},"used_operators":["bJkvcejdHO","e1ybzncUwg","QMFrweE19q","TpPTUOHfaN","DhbWaqg5eL","i8ToyICDmI","8jW3W4yZS5","3ViojmjbAp","k8jYdgA6NY","W4YGzv6Whe","U7g4x0WXJJ"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"⋰*⋻61","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1474","layer":4},{"info":"number node, value=2443","layer":4},{"info":"compute binary expreesion, left_input=1474, right_input=2443, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=3365","layer":4},{"info":"compute unary expreesion, input=3365, 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 = 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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":1},{"info":"number node, value=3053","layer":4},{"info":"number node, value=2846","layer":4},{"info":"compute binary expreesion, left_input=3053, right_input=2846, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2849","layer":3},{"info":"compute unary expreesion, input=-2849, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=4781","layer":2},{"info":"number node, value=1665","layer":4},{"info":"number node, value=2247","layer":4},{"info":"compute binary expreesion, left_input=1665, right_input=2247, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3912","layer":3},{"info":"number node, value=4282","layer":4},{"info":"number node, value=4757","layer":4},{"info":"compute binary expreesion, left_input=4282, right_input=4757, 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=3912, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4781, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":11,"result_base":11,"text":"(≉(⋰*⋻1120+⇶⊼⋰*⋻1921⫡⨏(+⊝⨔⋰*⋻258A)))≎⊠⪸((↯⪼(⋰*⋻2326⨓⋰*⋻2158))∲⫓(⋰*⋻1284+⋰*⋻1763)%⋰*⋻3243∑⇟⊟⋰*⋻3635)=⋰*⋻61","reverse_text":"⋰*⋻61=(≉(⋰*⋻1120+⇶⊼⋰*⋻1921⫡⨏(+⊝⨔⋰*⋻258A)))≎⊠⪸((↯⪼(⋰*⋻2326⨓⋰*⋻2158))∲⫓(⋰*⋻1284+⋰*⋻1763)%⋰*⋻3243∑⇟⊟⋰*⋻3635)","cot":[{"info":"⋰*⋻1120+⇶⊼⋰*⋻1921=NaN","layer":3},{"info":"+⊝⨔⋰*⋻258A=⋰*⋻1164","layer":3},{"info":"NaN⫡⨏⋰*⋻1164=NaN","layer":2},{"info":"≉NaN=NaN","layer":1},{"info":"⋰*⋻2326⨓⋰*⋻2158=⋰*⋻-2160","layer":3},{"info":"↯⪼⋰*⋻-2160=⋰*⋻3657","layer":2},{"info":"⋰*⋻1284+⋰*⋻1763=⋰*⋻2A37","layer":3},{"info":"⋰*⋻3243∑⇟⊟⋰*⋻3635=NaN","layer":3},{"info":"⋰*⋻2A37%NaN=NaN","layer":2},{"info":"⋰*⋻3657∲⫓NaN=NaN","layer":1},{"info":"NaN≎⊠⪸NaN=⋰*⋻61","layer":0}]}
{"id":117,"expression_no_base_symbol":"((↩($4309$⪐))⋷(($1066$⊠≄⫣)⫩⊇))⋝⋈⪟(⨈⫕($1286$⇷$3463$%(↥$1014$)))","expression":"((↩(⋰*⋻3268⪐))⋷((⋰*⋻88A⊠≄⫣)⫩⊇))⋝⋈⪟(⨈⫕(⋰*⋻A6A⇷⋰*⋻2669%(↥⋰*⋻842)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":18596,"operation_count":10,"complexity_ratio":1859.6,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":4309,"base":11}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1066,"base":11}}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1286,"base":11},"right_expr":{"type":"numeric_atoms","value":3463,"base":11}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1014,"base":11}}}}},"used_operators":["2DDjHMKMc0","23Mk6UjR3U","jLgFTUHLKL","eH2TOUuTDT","BjRHVeLaeN","DIvbN7qnHd","megm06wKyl","k8jYdgA6NY","mp7IySMOzn","A8NUZmVepG"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","k8jYdgA6NY"],"result":"⋰*⋻90469","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4309","layer":4},{"info":"compute unary expreesion, input=4309, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=8618","layer":3},{"info":"compute unary expreesion, input=8618, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-66164","layer":2},{"info":"number node, value=1066","layer":4},{"info":"compute unary expreesion, input=1066, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=42","layer":2},{"info":"compute binary expreesion, left_input=-66164, right_input=42, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=132328","layer":1},{"info":"number node, value=1286","layer":4},{"info":"number node, value=3463","layer":4},{"info":"compute binary expreesion, left_input=1286, right_input=3463, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6926","layer":3},{"info":"number node, value=1014","layer":4},{"info":"compute unary expreesion, input=1014, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=45","layer":3},{"info":"compute binary expreesion, left_input=6926, right_input=45, op_id = k8jYdgA6NY binary_op_definition= 'None', output=41","layer":2},{"info":"compute unary expreesion, input=41, 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=132328, right_input=-21, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=132328","layer":0}],"base":11,"result_base":11,"text":"((↩(⋰*⋻3268⪐))⋷((⋰*⋻88A⊠≄⫣)⫩⊇))⋝⋈⪟(⨈⫕(⋰*⋻A6A⇷⋰*⋻2669%(↥⋰*⋻842)))=⋰*⋻90469","reverse_text":"⋰*⋻90469=((↩(⋰*⋻3268⪐))⋷((⋰*⋻88A⊠≄⫣)⫩⊇))⋝⋈⪟(⨈⫕(⋰*⋻A6A⇷⋰*⋻2669%(↥⋰*⋻842)))","cot":[{"info":"⋰*⋻3268⪐=⋰*⋻6525","layer":3},{"info":"↩⋰*⋻6525=⋰*⋻-4578A","layer":2},{"info":"⋰*⋻88A⊠≄⫣=⋰*⋻0","layer":3},{"info":"⋰*⋻0⫩⊇=⋰*⋻39","layer":2},{"info":"⋰*⋻-4578A⋷⋰*⋻39=⋰*⋻90469","layer":1},{"info":"⋰*⋻A6A⇷⋰*⋻2669=⋰*⋻5227","layer":3},{"info":"↥⋰*⋻842=⋰*⋻41","layer":3},{"info":"⋰*⋻5227%⋰*⋻41=⋰*⋻38","layer":2},{"info":"⨈⫕⋰*⋻38=⋰*⋻-1A","layer":1},{"info":"⋰*⋻90469⋝⋈⪟⋰*⋻-1A=⋰*⋻90469","layer":0}]}
{"id":118,"expression_no_base_symbol":"-(($2256$∲⫓$3624$)∲⫓$1424$⋓$2427$)∀⇚≩($1175$+⇶⊼$6532$⫥∨⫟$3407$⇷$4550$)","expression":"-((⋰*⋻1771∲⫓⋰*⋻27A5)∲⫓⋰*⋻1085⋓⋰*⋻1907)∀⇚≩(⋰*⋻979+⇶⊼⋰*⋻49A9⫥∨⫟⋰*⋻2618⇷⋰*⋻3467)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":47877,"operation_count":8,"complexity_ratio":5984.625,"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":2256,"base":11},"right_expr":{"type":"numeric_atoms","value":3624,"base":11}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1424,"base":11},"right_expr":{"type":"numeric_atoms","value":2427,"base":11}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1175,"base":11},"right_expr":{"type":"numeric_atoms","value":6532,"base":11}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3407,"base":11},"right_expr":{"type":"numeric_atoms","value":4550,"base":11}}}}},"used_operators":["t8gj7n24qd","LRNGc0VcxI","i8ToyICDmI","T2fj7uvVaJ","KYD54nUTWz","TpPTUOHfaN","mp7IySMOzn"],"dependent_operators":["X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","8HhzD0ZcuI","rGHVDoGpnC","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=2256","layer":4},{"info":"number node, value=3624","layer":4},{"info":"compute binary expreesion, left_input=2256, right_input=3624, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1424","layer":4},{"info":"number node, value=2427","layer":4},{"info":"compute binary expreesion, left_input=1424, right_input=2427, op_id = T2fj7uvVaJ binary_op_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 = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=1175","layer":4},{"info":"number node, value=6532","layer":4},{"info":"compute binary expreesion, left_input=1175, right_input=6532, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=3407","layer":4},{"info":"number node, value=4550","layer":4},{"info":"compute binary expreesion, left_input=3407, right_input=4550, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=9100","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=9100, 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 = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"-((⋰*⋻1771∲⫓⋰*⋻27A5)∲⫓⋰*⋻1085⋓⋰*⋻1907)∀⇚≩(⋰*⋻979+⇶⊼⋰*⋻49A9⫥∨⫟⋰*⋻2618⇷⋰*⋻3467)=NaN","reverse_text":"NaN=-((⋰*⋻1771∲⫓⋰*⋻27A5)∲⫓⋰*⋻1085⋓⋰*⋻1907)∀⇚≩(⋰*⋻979+⇶⊼⋰*⋻49A9⫥∨⫟⋰*⋻2618⇷⋰*⋻3467)","cot":[{"info":"⋰*⋻1771∲⫓⋰*⋻27A5=⋰*⋻0","layer":3},{"info":"⋰*⋻1085⋓⋰*⋻1907=⋰*⋻0","layer":3},{"info":"⋰*⋻0∲⫓⋰*⋻0=⋰*⋻0","layer":2},{"info":"⋰*⋻979+⇶⊼⋰*⋻49A9=NaN","layer":3},{"info":"⋰*⋻2618⇷⋰*⋻3467=⋰*⋻6923","layer":3},{"info":"NaN⫥∨⫟⋰*⋻6923=NaN","layer":2},{"info":"⋰*⋻0∀⇚≩NaN=NaN","layer":1},{"info":"-NaN=NaN","layer":0}]}
{"id":119,"expression_no_base_symbol":"((⊙↵-$3411$)⇷($4355$⨎$3542$)≎⊠⪸($1103$⊉≛↸$1609$⨵⪆$2618$⇷$1461$))⪛(($7457$⫥∨⫟$4328$)∑⇟⊟($2604$≫≃)⋥≓≎($2853$≧⫂∧$1012$%$1417$⋓$6468$))","expression":"((⊙↵-⋰*⋻2621)⇷(⋰*⋻32AA⨎⋰*⋻2730)≎⊠⪸(⋰*⋻913⊉≛↸⋰*⋻1233⨵⪆⋰*⋻1A70⇷⋰*⋻1109))⪛((⋰*⋻566A⫥∨⫟⋰*⋻3285)∑⇟⊟(⋰*⋻1A58≫≃)⋥≓≎(⋰*⋻2164≧⫂∧⋰*⋻840%⋰*⋻1079⋓⋰*⋻4950))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":67968,"operation_count":15,"complexity_ratio":4531.2,"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":3411,"base":11}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4355,"base":11},"right_expr":{"type":"numeric_atoms","value":3542,"base":11}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1103,"base":11},"right_expr":{"type":"numeric_atoms","value":1609,"base":11}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2618,"base":11},"right_expr":{"type":"numeric_atoms","value":1461,"base":11}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":7457,"base":11},"right_expr":{"type":"numeric_atoms","value":4328,"base":11}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":2604,"base":11}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2853,"base":11},"right_expr":{"type":"numeric_atoms","value":1012,"base":11}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1417,"base":11},"right_expr":{"type":"numeric_atoms","value":6468,"base":11}}}}},"used_operators":["uFcxV4UQCh","bJkvcejdHO","mp7IySMOzn","oWn0xqSxBt","rJVOvQCfKK","2DQ55sFlQl","DZ8iAZOCBD","Qy55tPpLXF","U7g4x0WXJJ","KYD54nUTWz","X99M06cbEe","k8jYdgA6NY","Ph9nP6C5qx","T2fj7uvVaJ"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","8HhzD0ZcuI","rGHVDoGpnC","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⋰*⋻22","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3411","layer":4},{"info":"compute unary expreesion, input=3411, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=4355","layer":4},{"info":"number node, value=3542","layer":4},{"info":"compute binary expreesion, left_input=4355, right_input=3542, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3542","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=3542, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=7084","layer":2},{"info":"number node, value=1103","layer":4},{"info":"number node, value=1609","layer":4},{"info":"compute binary expreesion, left_input=1103, right_input=1609, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2206","layer":3},{"info":"number node, value=2618","layer":4},{"info":"number node, value=1461","layer":4},{"info":"compute binary expreesion, left_input=2618, right_input=1461, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2922","layer":3},{"info":"compute binary expreesion, left_input=2206, right_input=2922, 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=7084, right_input=160, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1834283","layer":1},{"info":"number node, value=7457","layer":4},{"info":"number node, value=4328","layer":4},{"info":"compute binary expreesion, left_input=7457, right_input=4328, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=2604","layer":4},{"info":"compute unary expreesion, input=2604, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=6609","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6609, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=2853","layer":4},{"info":"number node, value=1012","layer":4},{"info":"compute binary expreesion, left_input=2853, right_input=1012, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=539","layer":3},{"info":"number node, value=1417","layer":4},{"info":"number node, value=6468","layer":4},{"info":"compute binary expreesion, left_input=1417, right_input=6468, op_id = T2fj7uvVaJ binary_op_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=539, right_input=0, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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=1834283, right_input=67, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=24","layer":0}],"base":11,"result_base":11,"text":"((⊙↵-⋰*⋻2621)⇷(⋰*⋻32AA⨎⋰*⋻2730)≎⊠⪸(⋰*⋻913⊉≛↸⋰*⋻1233⨵⪆⋰*⋻1A70⇷⋰*⋻1109))⪛((⋰*⋻566A⫥∨⫟⋰*⋻3285)∑⇟⊟(⋰*⋻1A58≫≃)⋥≓≎(⋰*⋻2164≧⫂∧⋰*⋻840%⋰*⋻1079⋓⋰*⋻4950))=⋰*⋻22","reverse_text":"⋰*⋻22=((⊙↵-⋰*⋻2621)⇷(⋰*⋻32AA⨎⋰*⋻2730)≎⊠⪸(⋰*⋻913⊉≛↸⋰*⋻1233⨵⪆⋰*⋻1A70⇷⋰*⋻1109))⪛((⋰*⋻566A⫥∨⫟⋰*⋻3285)∑⇟⊟(⋰*⋻1A58≫≃)⋥≓≎(⋰*⋻2164≧⫂∧⋰*⋻840%⋰*⋻1079⋓⋰*⋻4950))","cot":[{"info":"⊙↵-⋰*⋻2621=⋰*⋻-1","layer":3},{"info":"⋰*⋻32AA⨎⋰*⋻2730=⋰*⋻2730","layer":3},{"info":"⋰*⋻-1⇷⋰*⋻2730=⋰*⋻5360","layer":2},{"info":"⋰*⋻913⊉≛↸⋰*⋻1233=⋰*⋻1726","layer":3},{"info":"⋰*⋻1A70⇷⋰*⋻1109=⋰*⋻2217","layer":3},{"info":"⋰*⋻1726⨵⪆⋰*⋻2217=⋰*⋻136","layer":2},{"info":"⋰*⋻5360≎⊠⪸⋰*⋻136=⋰*⋻1043140","layer":1},{"info":"⋰*⋻566A⫥∨⫟⋰*⋻3285=NaN","layer":3},{"info":"⋰*⋻1A58≫≃=⋰*⋻4A69","layer":3},{"info":"NaN∑⇟⊟⋰*⋻4A69=NaN","layer":2},{"info":"⋰*⋻2164≧⫂∧⋰*⋻840=⋰*⋻450","layer":3},{"info":"⋰*⋻1079⋓⋰*⋻4950=⋰*⋻0","layer":3},{"info":"⋰*⋻450%⋰*⋻0=NaN","layer":2},{"info":"NaN⋥≓≎NaN=⋰*⋻61","layer":1},{"info":"⋰*⋻1043140⪛⋰*⋻61=⋰*⋻22","layer":0}]}
{"id":120,"expression_no_base_symbol":"(↩(⊥($1477$⊉≛↸$5474$)))⫥∨⫟($5255$⪢$1706$⋝⋈⪟($2679$⊘)↪⪝)","expression":"(↩(⊥(⋰*⋻1123⊉≛↸⋰*⋻4127)))⫥∨⫟(⋰*⋻3A48⪢⋰*⋻1311⋝⋈⪟(⋰*⋻2016⊘)↪⪝)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":5420,"operation_count":8,"complexity_ratio":677.5,"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":1477,"base":11},"right_expr":{"type":"numeric_atoms","value":5474,"base":11}}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":5255,"base":11},"right_expr":{"type":"numeric_atoms","value":1706,"base":11}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":2679,"base":11}}}}},"used_operators":["KYD54nUTWz","jLgFTUHLKL","Q3PJZHRvZv","DZ8iAZOCBD","l07mrZUIn9","2DDjHMKMc0","dWAJyo7jo9","gu96TGCTMs"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","fu6greOZ01","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=1477","layer":4},{"info":"number node, value=5474","layer":4},{"info":"compute binary expreesion, left_input=1477, right_input=5474, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2954","layer":3},{"info":"compute unary expreesion, input=2954, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (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=5255","layer":4},{"info":"number node, value=1706","layer":4},{"info":"compute binary expreesion, left_input=5255, right_input=1706, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2679","layer":4},{"info":"compute unary expreesion, input=2679, 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 = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', 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=nan, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(↩(⊥(⋰*⋻1123⊉≛↸⋰*⋻4127)))⫥∨⫟(⋰*⋻3A48⪢⋰*⋻1311⋝⋈⪟(⋰*⋻2016⊘)↪⪝)=NaN","reverse_text":"NaN=(↩(⊥(⋰*⋻1123⊉≛↸⋰*⋻4127)))⫥∨⫟(⋰*⋻3A48⪢⋰*⋻1311⋝⋈⪟(⋰*⋻2016⊘)↪⪝)","cot":[{"info":"⋰*⋻1123⊉≛↸⋰*⋻4127=⋰*⋻2246","layer":3},{"info":"⊥⋰*⋻2246=NaN","layer":2},{"info":"↩NaN=NaN","layer":1},{"info":"⋰*⋻3A48⪢⋰*⋻1311=NaN","layer":3},{"info":"⋰*⋻2016⊘=⋰*⋻0","layer":3},{"info":"NaN⋝⋈⪟⋰*⋻0=NaN","layer":2},{"info":"NaN↪⪝=NaN","layer":1},{"info":"NaN⫥∨⫟NaN=NaN","layer":0}]}
{"id":121,"expression_no_base_symbol":"(↯⪼(($3869$⨸⪁$2572$)⋝⋈⪟($1193$⋷$6635$)))*(($1127$≫≃)⨵⪆(⪲⇎$3292$))+⇶⊼(≤/$1430$≧⫂∧$1056$)","expression":"(↯⪼((⋰*⋻29A8⨸⪁⋰*⋻1A29)⋝⋈⪟(⋰*⋻995⋷⋰*⋻4A92)))*((⋰*⋻935≫≃)⨵⪆(⪲⇎⋰*⋻2523))+⇶⊼(≤/⋰*⋻1090≧⫂∧⋰*⋻880)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":9974,"operation_count":11,"complexity_ratio":906.7272727272727,"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":3869,"base":11},"right_expr":{"type":"numeric_atoms","value":2572,"base":11}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1193,"base":11},"right_expr":{"type":"numeric_atoms","value":6635,"base":11}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1127,"base":11}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":3292,"base":11}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1430,"base":11},"right_expr":{"type":"numeric_atoms","value":1056,"base":11}}}}},"used_operators":["9HNa5Wba9A","8jW3W4yZS5","2DDjHMKMc0","g55IO6H4Gj","23Mk6UjR3U","TpPTUOHfaN","2DQ55sFlQl","X99M06cbEe","XPYlsWDdGa","eLAdDNolq6","Ph9nP6C5qx"],"dependent_operators":["W4YGzv6Whe","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3869","layer":4},{"info":"number node, value=2572","layer":4},{"info":"compute binary expreesion, left_input=3869, right_input=2572, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=12882","layer":3},{"info":"number node, value=1193","layer":4},{"info":"number node, value=6635","layer":4},{"info":"compute binary expreesion, left_input=1193, right_input=6635, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=12077","layer":3},{"info":"compute binary expreesion, left_input=12882, right_input=12077, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=12882","layer":2},{"info":"compute unary expreesion, input=12882, 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=1127","layer":4},{"info":"compute unary expreesion, input=1127, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=3655","layer":3},{"info":"number node, value=3292","layer":4},{"info":"compute unary expreesion, input=3292, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=6584","layer":3},{"info":"compute binary expreesion, left_input=3655, right_input=6584, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=1430","layer":4},{"info":"number node, value=1056","layer":4},{"info":"compute binary expreesion, left_input=1430, right_input=1056, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=583","layer":3},{"info":"compute unary expreesion, input=583, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-99","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-99, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"(↯⪼((⋰*⋻29A8⨸⪁⋰*⋻1A29)⋝⋈⪟(⋰*⋻995⋷⋰*⋻4A92)))*((⋰*⋻935≫≃)⨵⪆(⪲⇎⋰*⋻2523))+⇶⊼(≤/⋰*⋻1090≧⫂∧⋰*⋻880)=NaN","reverse_text":"NaN=(↯⪼((⋰*⋻29A8⨸⪁⋰*⋻1A29)⋝⋈⪟(⋰*⋻995⋷⋰*⋻4A92)))*((⋰*⋻935≫≃)⨵⪆(⪲⇎⋰*⋻2523))+⇶⊼(≤/⋰*⋻1090≧⫂∧⋰*⋻880)","cot":[{"info":"⋰*⋻29A8⨸⪁⋰*⋻1A29=⋰*⋻9751","layer":3},{"info":"⋰*⋻995⋷⋰*⋻4A92=⋰*⋻908A","layer":3},{"info":"⋰*⋻9751⋝⋈⪟⋰*⋻908A=⋰*⋻9751","layer":2},{"info":"↯⪼⋰*⋻9751=⋰*⋻-1A","layer":1},{"info":"⋰*⋻935≫≃=⋰*⋻2823","layer":3},{"info":"⪲⇎⋰*⋻2523=⋰*⋻4A46","layer":3},{"info":"⋰*⋻2823⨵⪆⋰*⋻4A46=⋰*⋻136","layer":2},{"info":"⋰*⋻1090≧⫂∧⋰*⋻880=⋰*⋻490","layer":3},{"info":"≤/⋰*⋻490=⋰*⋻-90","layer":2},{"info":"⋰*⋻136+⇶⊼⋰*⋻-90=NaN","layer":1},{"info":"⋰*⋻-1A*NaN=NaN","layer":0}]}
{"id":122,"expression_no_base_symbol":"($5900$⨎$2420$)⨰($4086$-$1652$)⩚⊴⇥($1531$⊴$1744$⨽(∥⊫$1300$))⋷($3867$⊦⊿)⪛($1657$⇷$4999$)⨳⩥⨓($3227$⨐⩸⫘$7198$)≹⇙⪍(⫛⫱⨽$3079$)","expression":"(⋰*⋻4484⨎⋰*⋻1900)⨰(⋰*⋻3085-⋰*⋻1272)⩚⊴⇥(⋰*⋻1172⊴⋰*⋻1346⨽(∥⊫⋰*⋻A82))⋷(⋰*⋻29A6⊦⊿)⪛(⋰*⋻1277⇷⋰*⋻3835)⨳⩥⨓(⋰*⋻2474⨐⩸⫘⋰*⋻5454)≹⇙⪍(⫛⫱⨽⋰*⋻234A)","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":26418,"operation_count":15,"complexity_ratio":1761.2,"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":5900,"base":11},"right_expr":{"type":"numeric_atoms","value":2420,"base":11}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4086,"base":11},"right_expr":{"type":"numeric_atoms","value":1652,"base":11}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1531,"base":11},"right_expr":{"type":"numeric_atoms","value":1744,"base":11}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1300,"base":11}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":3867,"base":11}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1657,"base":11},"right_expr":{"type":"numeric_atoms","value":4999,"base":11}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3227,"base":11},"right_expr":{"type":"numeric_atoms","value":7198,"base":11}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":3079,"base":11}}}}},"used_operators":["23Mk6UjR3U","NTOWxs364D","eewbuw0ToL","rJVOvQCfKK","rysDP5nf3Z","8HhzD0ZcuI","Nsiff2A1zJ","P8v4zCKN1o","nCS4ZIUYfx","uFcxV4UQCh","14qkJME0vr","mp7IySMOzn","AHs5Up7iyr","fu6greOZ01","DlLNRPXxWL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","3ViojmjbAp","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5900","layer":4},{"info":"number node, value=2420","layer":4},{"info":"compute binary expreesion, left_input=5900, right_input=2420, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2420","layer":3},{"info":"number node, value=4086","layer":4},{"info":"number node, value=1652","layer":4},{"info":"compute binary expreesion, left_input=4086, right_input=1652, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2434","layer":3},{"info":"compute binary expreesion, left_input=2420, right_input=2434, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-4","layer":2},{"info":"number node, value=1531","layer":4},{"info":"number node, value=1744","layer":4},{"info":"compute binary expreesion, left_input=1531, right_input=1744, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1300","layer":4},{"info":"compute unary expreesion, input=1300, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2168","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2168, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-4, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"number node, value=3867","layer":4},{"info":"compute unary expreesion, input=3867, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-11680","layer":3},{"info":"number node, value=1657","layer":4},{"info":"number node, value=4999","layer":4},{"info":"compute binary expreesion, left_input=1657, right_input=4999, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=9998","layer":3},{"info":"compute binary expreesion, left_input=-11680, right_input=9998, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=8316","layer":2},{"info":"number node, value=3227","layer":4},{"info":"number node, value=7198","layer":4},{"info":"compute binary expreesion, left_input=3227, right_input=7198, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=3079","layer":4},{"info":"compute unary expreesion, input=3079, 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 = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=8316, 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 = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻4484⨎⋰*⋻1900)⨰(⋰*⋻3085-⋰*⋻1272)⩚⊴⇥(⋰*⋻1172⊴⋰*⋻1346⨽(∥⊫⋰*⋻A82))⋷(⋰*⋻29A6⊦⊿)⪛(⋰*⋻1277⇷⋰*⋻3835)⨳⩥⨓(⋰*⋻2474⨐⩸⫘⋰*⋻5454)≹⇙⪍(⫛⫱⨽⋰*⋻234A)=NaN","reverse_text":"NaN=(⋰*⋻4484⨎⋰*⋻1900)⨰(⋰*⋻3085-⋰*⋻1272)⩚⊴⇥(⋰*⋻1172⊴⋰*⋻1346⨽(∥⊫⋰*⋻A82))⋷(⋰*⋻29A6⊦⊿)⪛(⋰*⋻1277⇷⋰*⋻3835)⨳⩥⨓(⋰*⋻2474⨐⩸⫘⋰*⋻5454)≹⇙⪍(⫛⫱⨽⋰*⋻234A)","cot":[{"info":"⋰*⋻4484⨎⋰*⋻1900=⋰*⋻1900","layer":3},{"info":"⋰*⋻3085-⋰*⋻1272=⋰*⋻1913","layer":3},{"info":"⋰*⋻1900⨰⋰*⋻1913=⋰*⋻-4","layer":2},{"info":"⋰*⋻1172⊴⋰*⋻1346=NaN","layer":3},{"info":"∥⊫⋰*⋻A82=⋰*⋻16A1","layer":3},{"info":"NaN⨽⋰*⋻16A1=NaN","layer":2},{"info":"⋰*⋻-4⩚⊴⇥NaN=NaN","layer":1},{"info":"⋰*⋻29A6⊦⊿=⋰*⋻-8859","layer":3},{"info":"⋰*⋻1277⇷⋰*⋻3835=⋰*⋻756A","layer":3},{"info":"⋰*⋻-8859⪛⋰*⋻756A=⋰*⋻6280","layer":2},{"info":"⋰*⋻2474⨐⩸⫘⋰*⋻5454=NaN","layer":3},{"info":"⫛⫱⨽⋰*⋻234A=⋰*⋻0","layer":3},{"info":"NaN≹⇙⪍⋰*⋻0=NaN","layer":2},{"info":"⋰*⋻6280⨳⩥⨓NaN=NaN","layer":1},{"info":"NaN⋷NaN=NaN","layer":0}]}
{"id":123,"expression_no_base_symbol":"($2752$⊉≛↸$3181$∲⫓(⨰⫟⨤$1947$))≎⊠⪸($2713$⨐⩸⫘$3231$)⪘⫢(⇁⨣⪵$5682$)-$1097$⊉≛↸$7625$⊭↱$2502$⫥∨⫟$1148$⊭↱$3205$⋳⪒$1561$⫥∨⫟$5881$≹⇙⪍$2800$","expression":"(⋰*⋻2082⊉≛↸⋰*⋻2432∲⫓(⨰⫟⨤⋰*⋻1510))≎⊠⪸(⋰*⋻2047⨐⩸⫘⋰*⋻2478)⪘⫢(⇁⨣⪵⋰*⋻42A6)-⋰*⋻908⊉≛↸⋰*⋻5802⊭↱⋰*⋻1975⫥∨⫟⋰*⋻954⊭↱⋰*⋻2454⋳⪒⋰*⋻119A⫥∨⫟⋰*⋻4467≹⇙⪍⋰*⋻2116","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7305,"operation_count":15,"complexity_ratio":487.0,"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":2752,"base":11},"right_expr":{"type":"numeric_atoms","value":3181,"base":11}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1947,"base":11}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2713,"base":11},"right_expr":{"type":"numeric_atoms","value":3231,"base":11}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":5682,"base":11}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1097,"base":11},"right_expr":{"type":"numeric_atoms","value":7625,"base":11}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2502,"base":11},"right_expr":{"type":"numeric_atoms","value":1148,"base":11}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3205,"base":11},"right_expr":{"type":"numeric_atoms","value":1561,"base":11}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5881,"base":11},"right_expr":{"type":"numeric_atoms","value":2800,"base":11}}}}},"used_operators":["rysDP5nf3Z","bJkvcejdHO","i8ToyICDmI","DZ8iAZOCBD","Tw270M8GLb","oacrs7FA3X","fu6greOZ01","inkyxCbjAn","COABgblf1C","KYD54nUTWz","12rbrZMWeM","AHs5Up7iyr"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","3ViojmjbAp","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=2752","layer":4},{"info":"number node, value=3181","layer":4},{"info":"compute binary expreesion, left_input=2752, right_input=3181, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5504","layer":3},{"info":"number node, value=1947","layer":4},{"info":"compute unary expreesion, input=1947, 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=5504, 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=2713","layer":4},{"info":"number node, value=3231","layer":4},{"info":"compute binary expreesion, left_input=2713, right_input=3231, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=5682","layer":4},{"info":"compute unary expreesion, input=5682, 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 = 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 = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"number node, value=1097","layer":4},{"info":"number node, value=7625","layer":4},{"info":"compute binary expreesion, left_input=1097, right_input=7625, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2194","layer":3},{"info":"number node, value=2502","layer":4},{"info":"number node, value=1148","layer":4},{"info":"compute binary expreesion, left_input=2502, right_input=1148, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2194, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"number node, value=3205","layer":4},{"info":"number node, value=1561","layer":4},{"info":"compute binary expreesion, left_input=3205, right_input=1561, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=4562","layer":3},{"info":"number node, value=5881","layer":4},{"info":"number node, value=2800","layer":4},{"info":"compute binary expreesion, left_input=5881, right_input=2800, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=4562, 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":"compute binary expreesion, left_input=67, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻2082⊉≛↸⋰*⋻2432∲⫓(⨰⫟⨤⋰*⋻1510))≎⊠⪸(⋰*⋻2047⨐⩸⫘⋰*⋻2478)⪘⫢(⇁⨣⪵⋰*⋻42A6)-⋰*⋻908⊉≛↸⋰*⋻5802⊭↱⋰*⋻1975⫥∨⫟⋰*⋻954⊭↱⋰*⋻2454⋳⪒⋰*⋻119A⫥∨⫟⋰*⋻4467≹⇙⪍⋰*⋻2116=NaN","reverse_text":"NaN=(⋰*⋻2082⊉≛↸⋰*⋻2432∲⫓(⨰⫟⨤⋰*⋻1510))≎⊠⪸(⋰*⋻2047⨐⩸⫘⋰*⋻2478)⪘⫢(⇁⨣⪵⋰*⋻42A6)-⋰*⋻908⊉≛↸⋰*⋻5802⊭↱⋰*⋻1975⫥∨⫟⋰*⋻954⊭↱⋰*⋻2454⋳⪒⋰*⋻119A⫥∨⫟⋰*⋻4467≹⇙⪍⋰*⋻2116","cot":[{"info":"⋰*⋻2082⊉≛↸⋰*⋻2432=⋰*⋻4154","layer":3},{"info":"⨰⫟⨤⋰*⋻1510=NaN","layer":3},{"info":"⋰*⋻4154∲⫓NaN=NaN","layer":2},{"info":"⋰*⋻2047⨐⩸⫘⋰*⋻2478=NaN","layer":3},{"info":"⇁⨣⪵⋰*⋻42A6=NaN","layer":3},{"info":"NaN⪘⫢NaN=NaN","layer":2},{"info":"NaN≎⊠⪸NaN=⋰*⋻61","layer":1},{"info":"⋰*⋻908⊉≛↸⋰*⋻5802=⋰*⋻1715","layer":3},{"info":"⋰*⋻1975⫥∨⫟⋰*⋻954=NaN","layer":3},{"info":"⋰*⋻1715⊭↱NaN=NaN","layer":2},{"info":"⋰*⋻2454⋳⪒⋰*⋻119A=⋰*⋻3478","layer":3},{"info":"⋰*⋻4467≹⇙⪍⋰*⋻2116=NaN","layer":3},{"info":"⋰*⋻3478⫥∨⫟NaN=NaN","layer":2},{"info":"NaN⊭↱NaN=NaN","layer":1},{"info":"⋰*⋻61-NaN=NaN","layer":0}]}
{"id":124,"expression_no_base_symbol":"⩦⩻⨪(($1892$⇷$9384$⩨($2312$≫≃))↙((≉$2463$)⩠))","expression":"⩦⩻⨪((⋰*⋻1470⇷⋰*⋻7061⩨(⋰*⋻1812≫≃))↙((≉⋰*⋻193A)⩠))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":26529,"operation_count":7,"complexity_ratio":3789.8571428571427,"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":1892,"base":11},"right_expr":{"type":"numeric_atoms","value":9384,"base":11}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":2312,"base":11}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2463,"base":11}}}}},"used_operators":["2td37pGCOC","yyfyN0ffXY","2DlMacCsIx","mp7IySMOzn","X99M06cbEe","sJAwomhLZr","e1ybzncUwg"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1892","layer":4},{"info":"number node, value=9384","layer":4},{"info":"compute binary expreesion, left_input=1892, right_input=9384, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=18768","layer":3},{"info":"number node, value=2312","layer":4},{"info":"compute unary expreesion, input=2312, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=6025","layer":3},{"info":"compute binary expreesion, left_input=18768, right_input=6025, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":2},{"info":"number node, value=2463","layer":4},{"info":"compute unary expreesion, input=2463, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2994","layer":3},{"info":"compute unary expreesion, input=2994, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=0","layer":0}],"base":11,"result_base":11,"text":"⩦⩻⨪((⋰*⋻1470⇷⋰*⋻7061⩨(⋰*⋻1812≫≃))↙((≉⋰*⋻193A)⩠))=⋰*⋻0","reverse_text":"⋰*⋻0=⩦⩻⨪((⋰*⋻1470⇷⋰*⋻7061⩨(⋰*⋻1812≫≃))↙((≉⋰*⋻193A)⩠))","cot":[{"info":"⋰*⋻1470⇷⋰*⋻7061=⋰*⋻13112","layer":3},{"info":"⋰*⋻1812≫≃=⋰*⋻4588","layer":3},{"info":"⋰*⋻13112⩨⋰*⋻4588=⋰*⋻0","layer":2},{"info":"≉⋰*⋻193A=⋰*⋻2282","layer":3},{"info":"⋰*⋻2282⩠=⋰*⋻0","layer":2},{"info":"⋰*⋻0↙⋰*⋻0=⋰*⋻0","layer":1},{"info":"⩦⩻⨪⋰*⋻0=⋰*⋻0","layer":0}]}
{"id":125,"expression_no_base_symbol":"(($2411$∲⫓$2845$)∀⇚≩($1327$⋳⪒$2223$)↪⪝)⨸⪁((↩$8230$≧⫂∧$1688$)⨵⪆($3616$⨪↰⇹$7117$⩤))","expression":"((⋰*⋻18A2∲⫓⋰*⋻2157)∀⇚≩(⋰*⋻AA7⋳⪒⋰*⋻1741)↪⪝)⨸⪁((↩⋰*⋻6202≧⫂∧⋰*⋻12A5)⨵⪆(⋰*⋻2798⨪↰⇹⋰*⋻5390⩤))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3898,"operation_count":10,"complexity_ratio":389.8,"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":2411,"base":11},"right_expr":{"type":"numeric_atoms","value":2845,"base":11}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1327,"base":11},"right_expr":{"type":"numeric_atoms","value":2223,"base":11}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":8230,"base":11},"right_expr":{"type":"numeric_atoms","value":1688,"base":11}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3616,"base":11},"right_expr":{"type":"numeric_atoms","value":7117,"base":11}}}}},"used_operators":["g55IO6H4Gj","l07mrZUIn9","LRNGc0VcxI","i8ToyICDmI","12rbrZMWeM","2DQ55sFlQl","jLgFTUHLKL","Ph9nP6C5qx","Z2TMIBDE3Q","tmPS8pqC7x"],"dependent_operators":["W4YGzv6Whe","9HNa5Wba9A","2DDjHMKMc0","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK"],"result":"⋰*⋻9A457A1","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2411","layer":4},{"info":"number node, value=2845","layer":4},{"info":"compute binary expreesion, left_input=2411, right_input=2845, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1327","layer":4},{"info":"number node, value=2223","layer":4},{"info":"compute binary expreesion, left_input=1327, right_input=2223, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=144","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=144, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=144","layer":2},{"info":"compute unary expreesion, input=144, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=8810208","layer":1},{"info":"number node, value=8230","layer":4},{"info":"number node, value=1688","layer":4},{"info":"compute binary expreesion, left_input=8230, right_input=1688, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1215","layer":3},{"info":"compute unary expreesion, input=1215, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-6940","layer":2},{"info":"number node, value=3616","layer":4},{"info":"number node, value=7117","layer":4},{"info":"compute binary expreesion, left_input=3616, right_input=7117, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3616","layer":3},{"info":"compute unary expreesion, input=3616, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-3616","layer":2},{"info":"compute binary expreesion, left_input=-6940, right_input=-3616, 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=8810208, right_input=160, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=17620736","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻18A2∲⫓⋰*⋻2157)∀⇚≩(⋰*⋻AA7⋳⪒⋰*⋻1741)↪⪝)⨸⪁((↩⋰*⋻6202≧⫂∧⋰*⋻12A5)⨵⪆(⋰*⋻2798⨪↰⇹⋰*⋻5390⩤))=⋰*⋻9A457A1","reverse_text":"⋰*⋻9A457A1=((⋰*⋻18A2∲⫓⋰*⋻2157)∀⇚≩(⋰*⋻AA7⋳⪒⋰*⋻1741)↪⪝)⨸⪁((↩⋰*⋻6202≧⫂∧⋰*⋻12A5)⨵⪆(⋰*⋻2798⨪↰⇹⋰*⋻5390⩤))","cot":[{"info":"⋰*⋻18A2∲⫓⋰*⋻2157=⋰*⋻0","layer":3},{"info":"⋰*⋻AA7⋳⪒⋰*⋻1741=⋰*⋻121","layer":3},{"info":"⋰*⋻0∀⇚≩⋰*⋻121=⋰*⋻121","layer":2},{"info":"⋰*⋻121↪⪝=⋰*⋻4A78270","layer":1},{"info":"⋰*⋻6202≧⫂∧⋰*⋻12A5=⋰*⋻A05","layer":3},{"info":"↩⋰*⋻A05=⋰*⋻-523A","layer":2},{"info":"⋰*⋻2798⨪↰⇹⋰*⋻5390=⋰*⋻2798","layer":3},{"info":"⋰*⋻2798⩤=⋰*⋻-2798","layer":2},{"info":"⋰*⋻-523A⨵⪆⋰*⋻-2798=⋰*⋻136","layer":1},{"info":"⋰*⋻4A78270⨸⪁⋰*⋻136=⋰*⋻9A457A1","layer":0}]}
{"id":126,"expression_no_base_symbol":"(($1173$⪘⫢$9413$⨳⩥⨓($2592$↛⩡⫤))≎⊠⪸($2727$≎⊠⪸$1826$)⪮%⊝($8980$⪨≂$3195$))∀⇚≩(($1410$≋⫹)⫡⨏$2786$⫥∨⫟$1030$)⨟⋌⩍($9397$≎⊠⪸$1304$⋳⪒$6711$⪘⫢$4945$)","expression":"((⋰*⋻977⪘⫢⋰*⋻7088⨳⩥⨓(⋰*⋻1A47↛⩡⫤))≎⊠⪸(⋰*⋻205A≎⊠⪸⋰*⋻1410)⪮%⊝(⋰*⋻6824⪨≂⋰*⋻2445))∀⇚≩((⋰*⋻1072≋⫹)⫡⨏⋰*⋻2103⫥∨⫟⋰*⋻857)⨟⋌⩍(⋰*⋻7073≎⊠⪸⋰*⋻A86⋳⪒⋰*⋻5051⪘⫢⋰*⋻3796)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":8941,"operation_count":15,"complexity_ratio":596.0666666666667,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1173,"base":11},"right_expr":{"type":"numeric_atoms","value":9413,"base":11}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":2592,"base":11}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2727,"base":11},"right_expr":{"type":"numeric_atoms","value":1826,"base":11}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":8980,"base":11},"right_expr":{"type":"numeric_atoms","value":3195,"base":11}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1410,"base":11}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2786,"base":11},"right_expr":{"type":"numeric_atoms","value":1030,"base":11}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":9397,"base":11},"right_expr":{"type":"numeric_atoms","value":1304,"base":11}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":6711,"base":11},"right_expr":{"type":"numeric_atoms","value":4945,"base":11}}}}},"used_operators":["LRNGc0VcxI","bJkvcejdHO","nCS4ZIUYfx","oacrs7FA3X","FU0Cs4j7VP","IWmyXbctLI","sdazOOVcIp","rGHVDoGpnC","QMFrweE19q","N41Kp7NANJ","KYD54nUTWz","12rbrZMWeM"],"dependent_operators":["X99M06cbEe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1173","layer":4},{"info":"number node, value=9413","layer":4},{"info":"compute binary expreesion, left_input=1173, right_input=9413, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2222","layer":3},{"info":"number node, value=2592","layer":4},{"info":"compute unary expreesion, input=2592, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-387481","layer":3},{"info":"compute binary expreesion, left_input=2222, right_input=-387481, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-389703","layer":2},{"info":"number node, value=2727","layer":4},{"info":"number node, value=1826","layer":4},{"info":"compute binary expreesion, left_input=2727, right_input=1826, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=705820","layer":3},{"info":"number node, value=8980","layer":4},{"info":"number node, value=3195","layer":4},{"info":"compute binary expreesion, left_input=8980, right_input=3195, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=11672","layer":3},{"info":"compute binary expreesion, left_input=705820, right_input=11672, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=1411956","layer":2},{"info":"compute binary expreesion, left_input=-389703, right_input=1411956, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=100933077","layer":1},{"info":"number node, value=1410","layer":4},{"info":"compute unary expreesion, input=1410, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2820","layer":3},{"info":"number node, value=2786","layer":4},{"info":"number node, value=1030","layer":4},{"info":"compute binary expreesion, left_input=2786, right_input=1030, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2820, 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=9397","layer":4},{"info":"number node, value=1304","layer":4},{"info":"compute binary expreesion, left_input=9397, right_input=1304, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=2433350","layer":3},{"info":"number node, value=6711","layer":4},{"info":"number node, value=4945","layer":4},{"info":"compute binary expreesion, left_input=6711, right_input=4945, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=13298","layer":3},{"info":"compute binary expreesion, left_input=2433350, right_input=13298, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=4853115","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4853115, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=100933077, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻977⪘⫢⋰*⋻7088⨳⩥⨓(⋰*⋻1A47↛⩡⫤))≎⊠⪸(⋰*⋻205A≎⊠⪸⋰*⋻1410)⪮%⊝(⋰*⋻6824⪨≂⋰*⋻2445))∀⇚≩((⋰*⋻1072≋⫹)⫡⨏⋰*⋻2103⫥∨⫟⋰*⋻857)⨟⋌⩍(⋰*⋻7073≎⊠⪸⋰*⋻A86⋳⪒⋰*⋻5051⪘⫢⋰*⋻3796)=NaN","reverse_text":"NaN=((⋰*⋻977⪘⫢⋰*⋻7088⨳⩥⨓(⋰*⋻1A47↛⩡⫤))≎⊠⪸(⋰*⋻205A≎⊠⪸⋰*⋻1410)⪮%⊝(⋰*⋻6824⪨≂⋰*⋻2445))∀⇚≩((⋰*⋻1072≋⫹)⫡⨏⋰*⋻2103⫥∨⫟⋰*⋻857)⨟⋌⩍(⋰*⋻7073≎⊠⪸⋰*⋻A86⋳⪒⋰*⋻5051⪘⫢⋰*⋻3796)","cot":[{"info":"⋰*⋻977⪘⫢⋰*⋻7088=⋰*⋻1740","layer":3},{"info":"⋰*⋻1A47↛⩡⫤=⋰*⋻-245136","layer":3},{"info":"⋰*⋻1740⨳⩥⨓⋰*⋻-245136=⋰*⋻-246876","layer":2},{"info":"⋰*⋻205A≎⊠⪸⋰*⋻1410=⋰*⋻442325","layer":3},{"info":"⋰*⋻6824⪨≂⋰*⋻2445=⋰*⋻8851","layer":3},{"info":"⋰*⋻442325⪮%⊝⋰*⋻8851=⋰*⋻884907","layer":2},{"info":"⋰*⋻-246876≎⊠⪸⋰*⋻884907=⋰*⋻51A79573","layer":1},{"info":"⋰*⋻1072≋⫹=⋰*⋻-2134","layer":3},{"info":"⋰*⋻2103⫥∨⫟⋰*⋻857=NaN","layer":3},{"info":"⋰*⋻-2134⫡⨏NaN=NaN","layer":2},{"info":"⋰*⋻7073≎⊠⪸⋰*⋻A86=⋰*⋻1412237","layer":3},{"info":"⋰*⋻5051⪘⫢⋰*⋻3796=⋰*⋻9A9A","layer":3},{"info":"⋰*⋻1412237⋳⪒⋰*⋻9A9A=⋰*⋻2815243","layer":2},{"info":"NaN⨟⋌⩍⋰*⋻2815243=NaN","layer":1},{"info":"⋰*⋻51A79573∀⇚≩NaN=NaN","layer":0}]}
{"id":127,"expression_no_base_symbol":"(⊄⩳↩($2157$⩤))∑⇟⊟($2835$⋝⋈⪟$1990$⨽$1073$⪛$1489$)%($2738$/$2550$)⋝⋈⪟(≦∁$2943$)*($3099$⋥≓≎$6216$*($4224$⊭↱$2581$))","expression":"(⊄⩳↩(⋰*⋻1691⩤))∑⇟⊟(⋰*⋻2148⋝⋈⪟⋰*⋻154A⨽⋰*⋻896⪛⋰*⋻1134)%(⋰*⋻206A/⋰*⋻1A09)⋝⋈⪟(≦∁⋰*⋻2236)*(⋰*⋻2368⋥≓≎⋰*⋻4741*(⋰*⋻31A0⊭↱⋰*⋻1A37))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6154,"operation_count":14,"complexity_ratio":439.57142857142856,"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":2157,"base":11}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2835,"base":11},"right_expr":{"type":"numeric_atoms","value":1990,"base":11}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1073,"base":11},"right_expr":{"type":"numeric_atoms","value":1489,"base":11}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2738,"base":11},"right_expr":{"type":"numeric_atoms","value":2550,"base":11}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2943,"base":11}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3099,"base":11},"right_expr":{"type":"numeric_atoms","value":6216,"base":11}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4224,"base":11},"right_expr":{"type":"numeric_atoms","value":2581,"base":11}}}}},"used_operators":["k8jYdgA6NY","U7g4x0WXJJ","8w2t5hMYqp","Z2TMIBDE3Q","8HhzD0ZcuI","2DDjHMKMc0","uFcxV4UQCh","9HNa5Wba9A","XhwjNDsVaA","9ICcGScMcE","Qy55tPpLXF","COABgblf1C"],"dependent_operators":["rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2157","layer":4},{"info":"compute unary expreesion, input=2157, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2157","layer":3},{"info":"compute unary expreesion, input=-2157, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=6471","layer":2},{"info":"number node, value=2835","layer":4},{"info":"number node, value=1990","layer":4},{"info":"compute binary expreesion, left_input=2835, right_input=1990, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2835","layer":3},{"info":"number node, value=1073","layer":4},{"info":"number node, value=1489","layer":4},{"info":"compute binary expreesion, left_input=1073, right_input=1489, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1073","layer":3},{"info":"compute binary expreesion, left_input=2835, right_input=1073, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-24113580","layer":2},{"info":"compute binary expreesion, left_input=6471, right_input=-24113580, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=2738","layer":4},{"info":"number node, value=2550","layer":4},{"info":"compute binary expreesion, left_input=2738, right_input=2550, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"number node, value=2943","layer":4},{"info":"compute unary expreesion, input=2943, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2943","layer":3},{"info":"compute binary expreesion, left_input=1, right_input=2943, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1","layer":2},{"info":"number node, value=3099","layer":4},{"info":"number node, value=6216","layer":4},{"info":"compute binary expreesion, left_input=3099, right_input=6216, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=9366","layer":3},{"info":"number node, value=4224","layer":4},{"info":"number node, value=2581","layer":4},{"info":"compute binary expreesion, left_input=4224, right_input=2581, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-3281","layer":3},{"info":"compute binary expreesion, left_input=9366, right_input=-3281, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-30729846","layer":2},{"info":"compute binary expreesion, left_input=1, right_input=-30729846, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-30729846","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-30729846, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⊄⩳↩(⋰*⋻1691⩤))∑⇟⊟(⋰*⋻2148⋝⋈⪟⋰*⋻154A⨽⋰*⋻896⪛⋰*⋻1134)%(⋰*⋻206A/⋰*⋻1A09)⋝⋈⪟(≦∁⋰*⋻2236)*(⋰*⋻2368⋥≓≎⋰*⋻4741*(⋰*⋻31A0⊭↱⋰*⋻1A37))=NaN","reverse_text":"NaN=(⊄⩳↩(⋰*⋻1691⩤))∑⇟⊟(⋰*⋻2148⋝⋈⪟⋰*⋻154A⨽⋰*⋻896⪛⋰*⋻1134)%(⋰*⋻206A/⋰*⋻1A09)⋝⋈⪟(≦∁⋰*⋻2236)*(⋰*⋻2368⋥≓≎⋰*⋻4741*(⋰*⋻31A0⊭↱⋰*⋻1A37))","cot":[{"info":"⋰*⋻1691⩤=⋰*⋻-1691","layer":3},{"info":"⊄⩳↩⋰*⋻-1691=⋰*⋻4953","layer":2},{"info":"⋰*⋻2148⋝⋈⪟⋰*⋻154A=⋰*⋻2148","layer":3},{"info":"⋰*⋻896⪛⋰*⋻1134=⋰*⋻896","layer":3},{"info":"⋰*⋻2148⨽⋰*⋻896=⋰*⋻-1267A987","layer":2},{"info":"⋰*⋻4953∑⇟⊟⋰*⋻-1267A987=NaN","layer":1},{"info":"⋰*⋻206A/⋰*⋻1A09=⋰*⋻1","layer":3},{"info":"≦∁⋰*⋻2236=⋰*⋻2236","layer":3},{"info":"⋰*⋻1⋝⋈⪟⋰*⋻2236=⋰*⋻1","layer":2},{"info":"⋰*⋻2368⋥≓≎⋰*⋻4741=⋰*⋻7045","layer":3},{"info":"⋰*⋻31A0⊭↱⋰*⋻1A37=⋰*⋻-2513","layer":3},{"info":"⋰*⋻7045*⋰*⋻-2513=⋰*⋻-16389874","layer":2},{"info":"⋰*⋻1*⋰*⋻-16389874=⋰*⋻-16389874","layer":1},{"info":"NaN%⋰*⋻-16389874=NaN","layer":0}]}
{"id":128,"expression_no_base_symbol":"(↔(($3855$⪮%⊝$1182$)⨟⋌⩍(∂$6508$)))+(($3021$⪒$1865$)%($6351$⊪))⨸⪁(≦∁$1123$⊭↱$1982$)","expression":"(↔((⋰*⋻2995⪮%⊝⋰*⋻985)⨟⋌⩍(∂⋰*⋻4987)))+((⋰*⋻22A7⪒⋰*⋻1446)%(⋰*⋻4854⊪))⨸⪁(≦∁⋰*⋻931⊭↱⋰*⋻1542)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":81,"operation_count":11,"complexity_ratio":7.363636363636363,"tree":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3855,"base":11},"right_expr":{"type":"numeric_atoms","value":1182,"base":11}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":6508,"base":11}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3021,"base":11},"right_expr":{"type":"numeric_atoms","value":1865,"base":11}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":6351,"base":11}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1123,"base":11},"right_expr":{"type":"numeric_atoms","value":1982,"base":11}}}}},"used_operators":["W4YGzv6Whe","ruOEQAzv1W","rGHVDoGpnC","IWmyXbctLI","Uaa54Peajs","g55IO6H4Gj","k8jYdgA6NY","f6k1SAg4EE","zVYPLywUTj","9ICcGScMcE","COABgblf1C"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","Tcnh7f0tEr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3855","layer":4},{"info":"number node, value=1182","layer":4},{"info":"compute binary expreesion, left_input=3855, right_input=1182, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=8026","layer":3},{"info":"number node, value=6508","layer":4},{"info":"compute unary expreesion, input=6508, 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=8026, 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 = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":1},{"info":"number node, value=3021","layer":4},{"info":"number node, value=1865","layer":4},{"info":"compute binary expreesion, left_input=3021, right_input=1865, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4886","layer":3},{"info":"number node, value=6351","layer":4},{"info":"compute unary expreesion, input=6351, 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=-4886, right_input=0, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1123","layer":4},{"info":"number node, value=1982","layer":4},{"info":"compute binary expreesion, left_input=1123, right_input=1982, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=1723","layer":3},{"info":"compute unary expreesion, input=1723, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1723","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1723, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"(↔((⋰*⋻2995⪮%⊝⋰*⋻985)⨟⋌⩍(∂⋰*⋻4987)))+((⋰*⋻22A7⪒⋰*⋻1446)%(⋰*⋻4854⊪))⨸⪁(≦∁⋰*⋻931⊭↱⋰*⋻1542)=NaN","reverse_text":"NaN=(↔((⋰*⋻2995⪮%⊝⋰*⋻985)⨟⋌⩍(∂⋰*⋻4987)))+((⋰*⋻22A7⪒⋰*⋻1446)%(⋰*⋻4854⊪))⨸⪁(≦∁⋰*⋻931⊭↱⋰*⋻1542)","cot":[{"info":"⋰*⋻2995⪮%⊝⋰*⋻985=⋰*⋻6037","layer":3},{"info":"∂⋰*⋻4987=NaN","layer":3},{"info":"⋰*⋻6037⨟⋌⩍NaN=NaN","layer":2},{"info":"↔NaN=⋰*⋻-112","layer":1},{"info":"⋰*⋻22A7⪒⋰*⋻1446=⋰*⋻-3742","layer":3},{"info":"⋰*⋻4854⊪=⋰*⋻0","layer":3},{"info":"⋰*⋻-3742%⋰*⋻0=NaN","layer":2},{"info":"⋰*⋻931⊭↱⋰*⋻1542=⋰*⋻1327","layer":3},{"info":"≦∁⋰*⋻1327=⋰*⋻1327","layer":2},{"info":"NaN⨸⪁⋰*⋻1327=NaN","layer":1},{"info":"⋰*⋻-112+NaN=NaN","layer":0}]}
{"id":129,"expression_no_base_symbol":"(≦∁$2249$⨐⩸⫘$7475$)⊉≛↸($1151$↬$1986$⊉≛↸$1000$≎⊠⪸$1332$)⪒(($5598$⋫)⊘)≭(≦∁(⨰⫟⨤$3987$))","expression":"(≦∁⋰*⋻1765⨐⩸⫘⋰*⋻5686)⊉≛↸(⋰*⋻957↬⋰*⋻1546⊉≛↸⋰*⋻82A≎⊠⪸⋰*⋻1001)⪒((⋰*⋻422A⋫)⊘)≭(≦∁(⨰⫟⨤⋰*⋻2AA5))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":21007,"operation_count":12,"complexity_ratio":1750.5833333333333,"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":2249,"base":11},"right_expr":{"type":"numeric_atoms","value":7475,"base":11}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1151,"base":11},"right_expr":{"type":"numeric_atoms","value":1986,"base":11}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1000,"base":11},"right_expr":{"type":"numeric_atoms","value":1332,"base":11}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":5598,"base":11}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":3987,"base":11}}}}},"used_operators":["f6k1SAg4EE","DZ8iAZOCBD","9ICcGScMcE","fu6greOZ01","B5M0gjZbta","bJkvcejdHO","rxpJgHHUmx","gu96TGCTMs","JL8yIekQnl","Tw270M8GLb"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","3ViojmjbAp","rGHVDoGpnC","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","AHs5Up7iyr","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","tmPS8pqC7x","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2249","layer":4},{"info":"number node, value=7475","layer":4},{"info":"compute binary expreesion, left_input=2249, right_input=7475, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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 = 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=1151","layer":4},{"info":"number node, value=1986","layer":4},{"info":"compute binary expreesion, left_input=1151, right_input=1986, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1000","layer":4},{"info":"number node, value=1332","layer":4},{"info":"compute binary expreesion, left_input=1000, right_input=1332, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=258527","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=258527, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":1},{"info":"number node, value=5598","layer":4},{"info":"compute unary expreesion, input=5598, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=5598","layer":3},{"info":"compute unary expreesion, input=5598, 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=3987","layer":4},{"info":"compute unary expreesion, input=3987, 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 = 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=0, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(≦∁⋰*⋻1765⨐⩸⫘⋰*⋻5686)⊉≛↸(⋰*⋻957↬⋰*⋻1546⊉≛↸⋰*⋻82A≎⊠⪸⋰*⋻1001)⪒((⋰*⋻422A⋫)⊘)≭(≦∁(⨰⫟⨤⋰*⋻2AA5))=NaN","reverse_text":"NaN=(≦∁⋰*⋻1765⨐⩸⫘⋰*⋻5686)⊉≛↸(⋰*⋻957↬⋰*⋻1546⊉≛↸⋰*⋻82A≎⊠⪸⋰*⋻1001)⪒((⋰*⋻422A⋫)⊘)≭(≦∁(⨰⫟⨤⋰*⋻2AA5))","cot":[{"info":"⋰*⋻1765⨐⩸⫘⋰*⋻5686=NaN","layer":3},{"info":"≦∁NaN=NaN","layer":2},{"info":"⋰*⋻957↬⋰*⋻1546=NaN","layer":3},{"info":"⋰*⋻82A≎⊠⪸⋰*⋻1001=⋰*⋻167265","layer":3},{"info":"NaN⊉≛↸⋰*⋻167265=NaN","layer":2},{"info":"NaN⊉≛↸NaN=NaN","layer":1},{"info":"⋰*⋻422A⋫=⋰*⋻422A","layer":3},{"info":"⋰*⋻422A⊘=⋰*⋻0","layer":2},{"info":"⨰⫟⨤⋰*⋻2AA5=NaN","layer":3},{"info":"≦∁NaN=NaN","layer":2},{"info":"⋰*⋻0≭NaN=NaN","layer":1},{"info":"NaN⪒NaN=NaN","layer":0}]}
{"id":130,"expression_no_base_symbol":"($8477$-$4126$)∀⇚≩($6352$*$1146$)≧⫂∧(($3467$⩠)⪐)≭(($1116$⫸⊐$2508$)⪄$1773$⫸⊐$2570$⊉≛↸$1238$⪛$1144$⩷∴$4148$⊴$2003$)","expression":"(⋰*⋻6407-⋰*⋻3111)∀⇚≩(⋰*⋻4855*⋰*⋻952)≧⫂∧((⋰*⋻2672⩠)⪐)≭((⋰*⋻925⫸⊐⋰*⋻1980)⪄⋰*⋻1372⫸⊐⋰*⋻1A27⊉≛↸⋰*⋻A26⪛⋰*⋻950⩷∴⋰*⋻3131⊴⋰*⋻1561)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":35511,"operation_count":14,"complexity_ratio":2536.5,"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":8477,"base":11},"right_expr":{"type":"numeric_atoms","value":4126,"base":11}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":6352,"base":11},"right_expr":{"type":"numeric_atoms","value":1146,"base":11}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":3467,"base":11}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1116,"base":11},"right_expr":{"type":"numeric_atoms","value":2508,"base":11}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1773,"base":11},"right_expr":{"type":"numeric_atoms","value":2570,"base":11}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1238,"base":11},"right_expr":{"type":"numeric_atoms","value":1144,"base":11}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4148,"base":11},"right_expr":{"type":"numeric_atoms","value":2003,"base":11}}}}},"used_operators":["rxpJgHHUmx","Ph9nP6C5qx","LRNGc0VcxI","rysDP5nf3Z","9HNa5Wba9A","eH2TOUuTDT","sJAwomhLZr","DZ8iAZOCBD","SUmda5xLS4","mqXw5SEYmG","9FxExcQeMw","uFcxV4UQCh","Nsiff2A1zJ"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=8477","layer":4},{"info":"number node, value=4126","layer":4},{"info":"compute binary expreesion, left_input=8477, right_input=4126, op_id = rysDP5nf3Z binary_op_definition= 'None', output=4351","layer":3},{"info":"number node, value=6352","layer":4},{"info":"number node, value=1146","layer":4},{"info":"compute binary expreesion, left_input=6352, right_input=1146, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=7279392","layer":3},{"info":"compute binary expreesion, left_input=4351, right_input=7279392, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=3467","layer":4},{"info":"compute unary expreesion, input=3467, 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 = 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 = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-473","layer":1},{"info":"number node, value=1116","layer":4},{"info":"number node, value=2508","layer":4},{"info":"compute binary expreesion, left_input=1116, right_input=2508, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=9907","layer":3},{"info":"number node, value=1773","layer":4},{"info":"number node, value=2570","layer":4},{"info":"compute binary expreesion, left_input=1773, right_input=2570, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=10155","layer":3},{"info":"compute binary expreesion, left_input=9907, right_input=10155, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1502945","layer":2},{"info":"number node, value=1238","layer":4},{"info":"number node, value=1144","layer":4},{"info":"compute binary expreesion, left_input=1238, right_input=1144, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=94","layer":3},{"info":"number node, value=4148","layer":4},{"info":"number node, value=2003","layer":4},{"info":"compute binary expreesion, left_input=4148, right_input=2003, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=94, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1502945, 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=-473, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻6407-⋰*⋻3111)∀⇚≩(⋰*⋻4855*⋰*⋻952)≧⫂∧((⋰*⋻2672⩠)⪐)≭((⋰*⋻925⫸⊐⋰*⋻1980)⪄⋰*⋻1372⫸⊐⋰*⋻1A27⊉≛↸⋰*⋻A26⪛⋰*⋻950⩷∴⋰*⋻3131⊴⋰*⋻1561)=NaN","reverse_text":"NaN=(⋰*⋻6407-⋰*⋻3111)∀⇚≩(⋰*⋻4855*⋰*⋻952)≧⫂∧((⋰*⋻2672⩠)⪐)≭((⋰*⋻925⫸⊐⋰*⋻1980)⪄⋰*⋻1372⫸⊐⋰*⋻1A27⊉≛↸⋰*⋻A26⪛⋰*⋻950⩷∴⋰*⋻3131⊴⋰*⋻1561)","cot":[{"info":"⋰*⋻6407-⋰*⋻3111=⋰*⋻32A6","layer":3},{"info":"⋰*⋻4855*⋰*⋻952=⋰*⋻412212A","layer":3},{"info":"⋰*⋻32A6∀⇚≩⋰*⋻412212A=NaN","layer":2},{"info":"⋰*⋻2672⩠=⋰*⋻0","layer":3},{"info":"⋰*⋻0⪐=⋰*⋻0","layer":2},{"info":"NaN≧⫂∧⋰*⋻0=⋰*⋻-3A0","layer":1},{"info":"⋰*⋻925⫸⊐⋰*⋻1980=⋰*⋻7497","layer":3},{"info":"⋰*⋻1372⫸⊐⋰*⋻1A27=⋰*⋻76A2","layer":3},{"info":"⋰*⋻7497⪄⋰*⋻76A2=⋰*⋻-937204","layer":2},{"info":"⋰*⋻A26⪛⋰*⋻950=⋰*⋻86","layer":3},{"info":"⋰*⋻3131⊴⋰*⋻1561=NaN","layer":3},{"info":"⋰*⋻86⩷∴NaN=NaN","layer":2},{"info":"⋰*⋻-937204⊉≛↸NaN=NaN","layer":1},{"info":"⋰*⋻-3A0≭NaN=NaN","layer":0}]}
{"id":131,"expression_no_base_symbol":"(($2629$⨽$3992$)⫩⊇)⩚⊴⇥($3348$⪘⫢$3275$)∀⇚≩(-$9388$)≭((∥⊫(⩦⩻⨪$3472$))-(⫓⪴$3774$⪘⫢$2236$))","expression":"((⋰*⋻1A80⨽⋰*⋻2AAA)⫩⊇)⩚⊴⇥(⋰*⋻2574⪘⫢⋰*⋻2508)∀⇚≩(-⋰*⋻7065)≭((∥⊫(⩦⩻⨪⋰*⋻2677))-(⫓⪴⋰*⋻2921⪘⫢⋰*⋻1753))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":56111,"operation_count":12,"complexity_ratio":4675.916666666667,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2629,"base":11},"right_expr":{"type":"numeric_atoms","value":3992,"base":11}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3348,"base":11},"right_expr":{"type":"numeric_atoms","value":3275,"base":11}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":9388,"base":11}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":3472,"base":11}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3774,"base":11},"right_expr":{"type":"numeric_atoms","value":2236,"base":11}}}}},"used_operators":["rxpJgHHUmx","NTOWxs364D","BjRHVeLaeN","8HhzD0ZcuI","LRNGc0VcxI","oacrs7FA3X","t8gj7n24qd","rysDP5nf3Z","P8v4zCKN1o","2td37pGCOC","eLxqMNBOBk"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","X99M06cbEe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2629","layer":4},{"info":"number node, value=3992","layer":4},{"info":"compute binary expreesion, left_input=2629, right_input=3992, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-20745585","layer":3},{"info":"compute unary expreesion, input=-20745585, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=20745627","layer":2},{"info":"number node, value=3348","layer":4},{"info":"number node, value=3275","layer":4},{"info":"compute binary expreesion, left_input=3348, right_input=3275, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6572","layer":3},{"info":"number node, value=9388","layer":4},{"info":"compute unary expreesion, input=9388, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-9388","layer":3},{"info":"compute binary expreesion, left_input=6572, right_input=-9388, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=20745627, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"number node, value=3472","layer":4},{"info":"compute unary expreesion, input=3472, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=3472","layer":3},{"info":"compute unary expreesion, input=3472, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4340","layer":2},{"info":"number node, value=3774","layer":4},{"info":"number node, value=2236","layer":4},{"info":"compute binary expreesion, left_input=3774, right_input=2236, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=7424","layer":3},{"info":"compute unary expreesion, input=7424, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=55115776","layer":2},{"info":"compute binary expreesion, left_input=4340, right_input=55115776, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-55111436","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-55111436, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1A80⨽⋰*⋻2AAA)⫩⊇)⩚⊴⇥(⋰*⋻2574⪘⫢⋰*⋻2508)∀⇚≩(-⋰*⋻7065)≭((∥⊫(⩦⩻⨪⋰*⋻2677))-(⫓⪴⋰*⋻2921⪘⫢⋰*⋻1753))=NaN","reverse_text":"NaN=((⋰*⋻1A80⨽⋰*⋻2AAA)⫩⊇)⩚⊴⇥(⋰*⋻2574⪘⫢⋰*⋻2508)∀⇚≩(-⋰*⋻7065)≭((∥⊫(⩦⩻⨪⋰*⋻2677))-(⫓⪴⋰*⋻2921⪘⫢⋰*⋻1753))","cot":[{"info":"⋰*⋻1A80⨽⋰*⋻2AAA=⋰*⋻-1078A513","layer":3},{"info":"⋰*⋻-1078A513⫩⊇=⋰*⋻1078A551","layer":2},{"info":"⋰*⋻2574⪘⫢⋰*⋻2508=⋰*⋻4A35","layer":3},{"info":"-⋰*⋻7065=⋰*⋻-7065","layer":3},{"info":"⋰*⋻4A35∀⇚≩⋰*⋻-7065=NaN","layer":2},{"info":"⋰*⋻1078A551⩚⊴⇥NaN=NaN","layer":1},{"info":"⩦⩻⨪⋰*⋻2677=⋰*⋻2677","layer":3},{"info":"∥⊫⋰*⋻2677=⋰*⋻3296","layer":2},{"info":"⋰*⋻2921⪘⫢⋰*⋻1753=⋰*⋻563A","layer":3},{"info":"⫓⪴⋰*⋻563A=⋰*⋻29125331","layer":2},{"info":"⋰*⋻3296-⋰*⋻29125331=⋰*⋻-29122046","layer":1},{"info":"NaN≭⋰*⋻-29122046=NaN","layer":0}]}
{"id":132,"expression_no_base_symbol":"⨑⩽⪐($6458$⊴$1204$⋳⪒($1793$⪠⩆⊳))⇷(⨑⩽⪐$1412$⨓$1565$)","expression":"⨑⩽⪐(⋰*⋻4941⊴⋰*⋻9A5⋳⪒(⋰*⋻1390⪠⩆⊳))⇷(⨑⩽⪐⋰*⋻1074⨓⋰*⋻11A3)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":9041,"operation_count":7,"complexity_ratio":1291.5714285714287,"tree":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":6458,"base":11},"right_expr":{"type":"numeric_atoms","value":1204,"base":11}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1793,"base":11}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1412,"base":11},"right_expr":{"type":"numeric_atoms","value":1565,"base":11}}}}},"used_operators":["AF7qkfDlqP","mp7IySMOzn","12rbrZMWeM","Nsiff2A1zJ","JLbD19bQDL","3ViojmjbAp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"⋰*⋻-5769","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6458","layer":4},{"info":"number node, value=1204","layer":4},{"info":"compute binary expreesion, left_input=6458, right_input=1204, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1793","layer":4},{"info":"compute unary expreesion, input=1793, 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 = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"number node, value=1412","layer":4},{"info":"number node, value=1565","layer":4},{"info":"compute binary expreesion, left_input=1412, right_input=1565, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1568","layer":3},{"info":"compute unary expreesion, input=-1568, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=3925","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3925, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=7850","layer":1},{"info":"compute unary expreesion, input=7850, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-7577","layer":0}],"base":11,"result_base":11,"text":"⨑⩽⪐(⋰*⋻4941⊴⋰*⋻9A5⋳⪒(⋰*⋻1390⪠⩆⊳))⇷(⨑⩽⪐⋰*⋻1074⨓⋰*⋻11A3)=⋰*⋻-5769","reverse_text":"⋰*⋻-5769=⨑⩽⪐(⋰*⋻4941⊴⋰*⋻9A5⋳⪒(⋰*⋻1390⪠⩆⊳))⇷(⨑⩽⪐⋰*⋻1074⨓⋰*⋻11A3)","cot":[{"info":"⋰*⋻4941⊴⋰*⋻9A5=NaN","layer":3},{"info":"⋰*⋻1390⪠⩆⊳=⋰*⋻0","layer":3},{"info":"NaN⋳⪒⋰*⋻0=NaN","layer":2},{"info":"⋰*⋻1074⨓⋰*⋻11A3=⋰*⋻-11A6","layer":3},{"info":"⨑⩽⪐⋰*⋻-11A6=⋰*⋻2A49","layer":2},{"info":"NaN⇷⋰*⋻2A49=⋰*⋻5997","layer":1},{"info":"⨑⩽⪐⋰*⋻5997=⋰*⋻-5769","layer":0}]}
{"id":133,"expression_no_base_symbol":"(∂($1377$⋥≓≎$2029$))⩷∴(≉$6116$)∑⇟⊟($1113$⊭↱$4629$)%(($2606$≫≃)⇋≉)⪘⫢$1209$≹⇙⪍$1559$∼($7123$⪐)","expression":"(∂(⋰*⋻1042⋥≓≎⋰*⋻1585))⩷∴(≉⋰*⋻4660)∑⇟⊟(⋰*⋻922⊭↱⋰*⋻3529)%((⋰*⋻1A5A≫≃)⇋≉)⪘⫢⋰*⋻9AA≹⇙⪍⋰*⋻1198∼(⋰*⋻5396⪐)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":46,"operation_count":13,"complexity_ratio":3.5384615384615383,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1377,"base":11},"right_expr":{"type":"numeric_atoms","value":2029,"base":11}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":6116,"base":11}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1113,"base":11},"right_expr":{"type":"numeric_atoms","value":4629,"base":11}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":2606,"base":11}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1209,"base":11},"right_expr":{"type":"numeric_atoms","value":1559,"base":11}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":7123,"base":11}}}}},"used_operators":["k8jYdgA6NY","9FxExcQeMw","Uaa54Peajs","Qy55tPpLXF","U7g4x0WXJJ","e1ybzncUwg","COABgblf1C","oacrs7FA3X","XIabStNQrY","X99M06cbEe","DyGG3AbaNP","AHs5Up7iyr","eH2TOUuTDT"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=1377","layer":4},{"info":"number node, value=2029","layer":4},{"info":"compute binary expreesion, left_input=1377, right_input=2029, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2714","layer":3},{"info":"compute unary expreesion, input=2714, 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=6116","layer":4},{"info":"compute unary expreesion, input=6116, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=6647","layer":3},{"info":"number node, value=1113","layer":4},{"info":"number node, value=4629","layer":4},{"info":"compute binary expreesion, left_input=1113, right_input=4629, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=7037","layer":3},{"info":"compute binary expreesion, left_input=6647, right_input=7037, 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 = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"number node, value=2606","layer":4},{"info":"compute unary expreesion, input=2606, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=6613","layer":3},{"info":"compute unary expreesion, input=6613, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=13128","layer":2},{"info":"number node, value=1209","layer":4},{"info":"number node, value=1559","layer":4},{"info":"compute binary expreesion, left_input=1209, right_input=1559, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=7123","layer":4},{"info":"compute unary expreesion, input=7123, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=14246","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=14246, 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=13128, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"(∂(⋰*⋻1042⋥≓≎⋰*⋻1585))⩷∴(≉⋰*⋻4660)∑⇟⊟(⋰*⋻922⊭↱⋰*⋻3529)%((⋰*⋻1A5A≫≃)⇋≉)⪘⫢⋰*⋻9AA≹⇙⪍⋰*⋻1198∼(⋰*⋻5396⪐)=NaN","reverse_text":"NaN=(∂(⋰*⋻1042⋥≓≎⋰*⋻1585))⩷∴(≉⋰*⋻4660)∑⇟⊟(⋰*⋻922⊭↱⋰*⋻3529)%((⋰*⋻1A5A≫≃)⇋≉)⪘⫢⋰*⋻9AA≹⇙⪍⋰*⋻1198∼(⋰*⋻5396⪐)","cot":[{"info":"⋰*⋻1042⋥≓≎⋰*⋻1585=⋰*⋻2048","layer":3},{"info":"∂⋰*⋻2048=NaN","layer":2},{"info":"≉⋰*⋻4660=⋰*⋻4AA3","layer":3},{"info":"⋰*⋻922⊭↱⋰*⋻3529=⋰*⋻5318","layer":3},{"info":"⋰*⋻4AA3∑⇟⊟⋰*⋻5318=NaN","layer":2},{"info":"NaN⩷∴NaN=NaN","layer":1},{"info":"⋰*⋻1A5A≫≃=⋰*⋻4A72","layer":3},{"info":"⋰*⋻4A72⇋≉=⋰*⋻9955","layer":2},{"info":"⋰*⋻9AA≹⇙⪍⋰*⋻1198=NaN","layer":3},{"info":"⋰*⋻5396⪐=⋰*⋻A781","layer":3},{"info":"NaN∼⋰*⋻A781=NaN","layer":2},{"info":"⋰*⋻9955⪘⫢NaN=NaN","layer":1},{"info":"NaN%NaN=NaN","layer":0}]}
{"id":134,"expression_no_base_symbol":"(⨰⫟⨤($1034$⩷∴$3177$))≹⇙⪍(-($2637$⨵⪆$1000$))⫡⨏((⇁⨣⪵$1915$)≫≃)⨐⩸⫘($1747$↺$5867$)⋳⪒($5559$⫡⨏$4497$)","expression":"(⨰⫟⨤(⋰*⋻860⩷∴⋰*⋻2429))≹⇙⪍(-(⋰*⋻1A88⨵⪆⋰*⋻82A))⫡⨏((⇁⨣⪵⋰*⋻1491)≫≃)⨐⩸⫘(⋰*⋻1349↺⋰*⋻4454)⋳⪒(⋰*⋻41A4⫡⨏⋰*⋻3419)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":43804,"operation_count":12,"complexity_ratio":3650.3333333333335,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1034,"base":11},"right_expr":{"type":"numeric_atoms","value":3177,"base":11}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2637,"base":11},"right_expr":{"type":"numeric_atoms","value":1000,"base":11}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1915,"base":11}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1747,"base":11},"right_expr":{"type":"numeric_atoms","value":5867,"base":11}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":5559,"base":11},"right_expr":{"type":"numeric_atoms","value":4497,"base":11}}}}},"used_operators":["QMFrweE19q","AHs5Up7iyr","Tw270M8GLb","9FxExcQeMw","t8gj7n24qd","2DQ55sFlQl","fu6greOZ01","X99M06cbEe","inkyxCbjAn","12rbrZMWeM","7j4O788W3g"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1034","layer":4},{"info":"number node, value=3177","layer":4},{"info":"compute binary expreesion, left_input=1034, right_input=3177, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-4318","layer":3},{"info":"compute unary expreesion, input=-4318, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=2637","layer":4},{"info":"number node, value=1000","layer":4},{"info":"compute binary expreesion, left_input=2637, right_input=1000, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-160","layer":2},{"info":"compute binary expreesion, left_input=nan, 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":"number node, value=1915","layer":4},{"info":"compute unary expreesion, input=1915, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬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=1747","layer":4},{"info":"number node, value=5867","layer":4},{"info":"compute binary expreesion, left_input=1747, right_input=5867, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5867","layer":3},{"info":"number node, value=5559","layer":4},{"info":"number node, value=4497","layer":4},{"info":"compute binary expreesion, left_input=5559, right_input=4497, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=37572","layer":3},{"info":"compute binary expreesion, left_input=5867, right_input=37572, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-26125","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-26125, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⨰⫟⨤(⋰*⋻860⩷∴⋰*⋻2429))≹⇙⪍(-(⋰*⋻1A88⨵⪆⋰*⋻82A))⫡⨏((⇁⨣⪵⋰*⋻1491)≫≃)⨐⩸⫘(⋰*⋻1349↺⋰*⋻4454)⋳⪒(⋰*⋻41A4⫡⨏⋰*⋻3419)=NaN","reverse_text":"NaN=(⨰⫟⨤(⋰*⋻860⩷∴⋰*⋻2429))≹⇙⪍(-(⋰*⋻1A88⨵⪆⋰*⋻82A))⫡⨏((⇁⨣⪵⋰*⋻1491)≫≃)⨐⩸⫘(⋰*⋻1349↺⋰*⋻4454)⋳⪒(⋰*⋻41A4⫡⨏⋰*⋻3419)","cot":[{"info":"⋰*⋻860⩷∴⋰*⋻2429=⋰*⋻-3276","layer":3},{"info":"⨰⫟⨤⋰*⋻-3276=NaN","layer":2},{"info":"⋰*⋻1A88⨵⪆⋰*⋻82A=⋰*⋻136","layer":3},{"info":"-⋰*⋻136=⋰*⋻-136","layer":2},{"info":"NaN≹⇙⪍⋰*⋻-136=NaN","layer":1},{"info":"⇁⨣⪵⋰*⋻1491=NaN","layer":3},{"info":"NaN≫≃=NaN","layer":2},{"info":"⋰*⋻1349↺⋰*⋻4454=⋰*⋻4454","layer":3},{"info":"⋰*⋻41A4⫡⨏⋰*⋻3419=⋰*⋻26257","layer":3},{"info":"⋰*⋻4454⋳⪒⋰*⋻26257=⋰*⋻-186A0","layer":2},{"info":"NaN⨐⩸⫘⋰*⋻-186A0=NaN","layer":1},{"info":"NaN⫡⨏NaN=NaN","layer":0}]}
{"id":135,"expression_no_base_symbol":"((($6624$*$1310$)∸)⩷∴($7890$≧⫂∧$1144$≫≃))⨟⋌⩍(∂($1398$≦≮≮)∼($7154$⋳⪒$1121$))","expression":"(((⋰*⋻4A82*⋰*⋻A91)∸)⩷∴(⋰*⋻5A23≧⫂∧⋰*⋻950≫≃))⨟⋌⩍(∂(⋰*⋻1061≦≮≮)∼(⋰*⋻5414⋳⪒⋰*⋻92A))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1597,"operation_count":10,"complexity_ratio":159.7,"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":6624,"base":11},"right_expr":{"type":"numeric_atoms","value":1310,"base":11}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":7890,"base":11},"right_expr":{"type":"numeric_atoms","value":1144,"base":11}}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1398,"base":11}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":7154,"base":11},"right_expr":{"type":"numeric_atoms","value":1121,"base":11}}}}},"used_operators":["rGHVDoGpnC","9FxExcQeMw","o20kRiQErp","9HNa5Wba9A","X99M06cbEe","Ph9nP6C5qx","Uaa54Peajs","DyGG3AbaNP","D4vGDi5EA2","12rbrZMWeM"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","tmPS8pqC7x","W4YGzv6Whe","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6624","layer":4},{"info":"number node, value=1310","layer":4},{"info":"compute binary expreesion, left_input=6624, right_input=1310, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=8677440","layer":3},{"info":"compute unary expreesion, input=8677440, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"number node, value=7890","layer":4},{"info":"number node, value=1144","layer":4},{"info":"compute binary expreesion, left_input=7890, right_input=1144, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=671","layer":3},{"info":"compute unary expreesion, input=671, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=2743","layer":2},{"info":"compute binary expreesion, left_input=177, right_input=2743, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-5164","layer":1},{"info":"number node, value=1398","layer":4},{"info":"compute unary expreesion, input=1398, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-4194","layer":3},{"info":"number node, value=7154","layer":4},{"info":"number node, value=1121","layer":4},{"info":"compute binary expreesion, left_input=7154, right_input=1121, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=12900","layer":3},{"info":"compute binary expreesion, left_input=-4194, right_input=12900, 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 = 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=-5164, 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":11,"result_base":11,"text":"(((⋰*⋻4A82*⋰*⋻A91)∸)⩷∴(⋰*⋻5A23≧⫂∧⋰*⋻950≫≃))⨟⋌⩍(∂(⋰*⋻1061≦≮≮)∼(⋰*⋻5414⋳⪒⋰*⋻92A))=NaN","reverse_text":"NaN=(((⋰*⋻4A82*⋰*⋻A91)∸)⩷∴(⋰*⋻5A23≧⫂∧⋰*⋻950≫≃))⨟⋌⩍(∂(⋰*⋻1061≦≮≮)∼(⋰*⋻5414⋳⪒⋰*⋻92A))","cot":[{"info":"⋰*⋻4A82*⋰*⋻A91=⋰*⋻4997542","layer":3},{"info":"⋰*⋻4997542∸=⋰*⋻151","layer":2},{"info":"⋰*⋻5A23≧⫂∧⋰*⋻950=⋰*⋻560","layer":3},{"info":"⋰*⋻560≫≃=⋰*⋻2074","layer":2},{"info":"⋰*⋻151⩷∴⋰*⋻2074=⋰*⋻-3975","layer":1},{"info":"⋰*⋻1061≦≮≮=⋰*⋻-3173","layer":3},{"info":"⋰*⋻5414⋳⪒⋰*⋻92A=⋰*⋻9768","layer":3},{"info":"⋰*⋻-3173∼⋰*⋻9768=NaN","layer":2},{"info":"∂NaN=NaN","layer":1},{"info":"⋰*⋻-3975⨟⋌⩍NaN=NaN","layer":0}]}
{"id":136,"expression_no_base_symbol":"(⨈⫕(⨰⫟⨤$2052$))∀⇚≩(⪲⇎$2666$⋓$3582$)⩷∴(∥⊫(⨞⊢$1550$)⩚⊴⇥(⫛⫱⨽$5638$))","expression":"(⨈⫕(⨰⫟⨤⋰*⋻15A6))∀⇚≩(⪲⇎⋰*⋻2004⋓⋰*⋻2767)⩷∴(∥⊫(⨞⊢⋰*⋻118A)⩚⊴⇥(⫛⫱⨽⋰*⋻4266))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":9353,"operation_count":10,"complexity_ratio":935.3,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2052,"base":11}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2666,"base":11},"right_expr":{"type":"numeric_atoms","value":3582,"base":11}}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1550,"base":11}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":5638,"base":11}}}}},"used_operators":["9FxExcQeMw","LRNGc0VcxI","megm06wKyl","Tw270M8GLb","XPYlsWDdGa","T2fj7uvVaJ","P8v4zCKN1o","NTOWxs364D","xUOZtlo3hN","DlLNRPXxWL"],"dependent_operators":["rysDP5nf3Z","X99M06cbEe","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC"],"result":"⋰*⋻-91572A84A","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2052","layer":4},{"info":"compute unary expreesion, input=2052, 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 = 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=2666","layer":4},{"info":"number node, value=3582","layer":4},{"info":"compute binary expreesion, left_input=2666, right_input=3582, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=0","layer":2},{"info":"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":1},{"info":"number node, value=1550","layer":4},{"info":"compute unary expreesion, input=1550, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1724","layer":3},{"info":"number node, value=5638","layer":4},{"info":"compute unary expreesion, input=5638, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-1724, right_input=0, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=1603","layer":2},{"info":"compute unary expreesion, input=1603, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2471","layer":1},{"info":"compute binary expreesion, left_input=-979370451, right_input=2471, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-1958745876","layer":0}],"base":11,"result_base":11,"text":"(⨈⫕(⨰⫟⨤⋰*⋻15A6))∀⇚≩(⪲⇎⋰*⋻2004⋓⋰*⋻2767)⩷∴(∥⊫(⨞⊢⋰*⋻118A)⩚⊴⇥(⫛⫱⨽⋰*⋻4266))=⋰*⋻-91572A84A","reverse_text":"⋰*⋻-91572A84A=(⨈⫕(⨰⫟⨤⋰*⋻15A6))∀⇚≩(⪲⇎⋰*⋻2004⋓⋰*⋻2767)⩷∴(∥⊫(⨞⊢⋰*⋻118A)⩚⊴⇥(⫛⫱⨽⋰*⋻4266))","cot":[{"info":"⨰⫟⨤⋰*⋻15A6=NaN","layer":3},{"info":"⨈⫕NaN=⋰*⋻-1A","layer":2},{"info":"⋰*⋻2004⋓⋰*⋻2767=⋰*⋻0","layer":3},{"info":"⪲⇎⋰*⋻0=⋰*⋻0","layer":2},{"info":"⋰*⋻-1A∀⇚≩⋰*⋻0=⋰*⋻-462913574","layer":1},{"info":"⨞⊢⋰*⋻118A=⋰*⋻-1328","layer":3},{"info":"⫛⫱⨽⋰*⋻4266=⋰*⋻0","layer":3},{"info":"⋰*⋻-1328⩚⊴⇥⋰*⋻0=⋰*⋻1228","layer":2},{"info":"∥⊫⋰*⋻1228=⋰*⋻1947","layer":1},{"info":"⋰*⋻-462913574⩷∴⋰*⋻1947=⋰*⋻-91572A84A","layer":0}]}
{"id":137,"expression_no_base_symbol":"-((∥⊫$2499$⨪↰⇹$1298$)⨁⊸⫻)","expression":"-((∥⊫⋰*⋻1972⨪↰⇹⋰*⋻A80)⨁⊸⫻)","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":2505,"operation_count":4,"complexity_ratio":626.25,"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":2499,"base":11},"right_expr":{"type":"numeric_atoms","value":1298,"base":11}}}}},"used_operators":["t8gj7n24qd","glklzrTFfD","P8v4zCKN1o","tmPS8pqC7x"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK"],"result":"⋰*⋻-2591","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2499","layer":4},{"info":"number node, value=1298","layer":4},{"info":"compute binary expreesion, left_input=2499, 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=2499","layer":3},{"info":"compute unary expreesion, input=2499, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3367","layer":2},{"info":"compute unary expreesion, input=3367, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=3367","layer":1},{"info":"compute unary expreesion, input=3367, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-3367","layer":0}],"base":11,"result_base":11,"text":"-((∥⊫⋰*⋻1972⨪↰⇹⋰*⋻A80)⨁⊸⫻)=⋰*⋻-2591","reverse_text":"⋰*⋻-2591=-((∥⊫⋰*⋻1972⨪↰⇹⋰*⋻A80)⨁⊸⫻)","cot":[{"info":"⋰*⋻1972⨪↰⇹⋰*⋻A80=⋰*⋻1972","layer":3},{"info":"∥⊫⋰*⋻1972=⋰*⋻2591","layer":2},{"info":"⋰*⋻2591⨁⊸⫻=⋰*⋻2591","layer":1},{"info":"-⋰*⋻2591=⋰*⋻-2591","layer":0}]}
{"id":138,"expression_no_base_symbol":"⫓⪴(⨑⩽⪐(($2424$⋷$1058$)⊪))","expression":"⫓⪴(⨑⩽⪐((⋰*⋻1904⋷⋰*⋻882)⊪))","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":985465,"operation_count":4,"complexity_ratio":246366.25,"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":2424,"base":11},"right_expr":{"type":"numeric_atoms","value":1058,"base":11}}}}},"used_operators":["eLxqMNBOBk","AF7qkfDlqP","zVYPLywUTj","23Mk6UjR3U"],"dependent_operators":["9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd"],"result":"Inf","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2424","layer":4},{"info":"number node, value=1058","layer":4},{"info":"compute binary expreesion, left_input=2424, right_input=1058, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-308","layer":3},{"info":"compute unary expreesion, input=-308, 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=984790","layer":2},{"info":"compute unary expreesion, input=984790, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-984517","layer":1},{"info":"compute unary expreesion, input=-984517, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=inf","layer":0}],"base":11,"result_base":11,"text":"⫓⪴(⨑⩽⪐((⋰*⋻1904⋷⋰*⋻882)⊪))=Inf","reverse_text":"Inf=⫓⪴(⨑⩽⪐((⋰*⋻1904⋷⋰*⋻882)⊪))","cot":[{"info":"⋰*⋻1904⋷⋰*⋻882=⋰*⋻-260","layer":3},{"info":"⋰*⋻-260⊪=⋰*⋻612984","layer":2},{"info":"⨑⩽⪐⋰*⋻612984=⋰*⋻-612756","layer":1},{"info":"⫓⪴⋰*⋻-612756=Inf","layer":0}]}
{"id":139,"expression_no_base_symbol":"≉(($1664$⪨≂$2994$)⫌⩹⨱)≭($1248$⪢$4989$/(≦∁$2868$))","expression":"≉((⋰*⋻1283⪨≂⋰*⋻2282)⫌⩹⨱)≭(⋰*⋻A35⪢⋰*⋻3826/(≦∁⋰*⋻2178))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":5005,"operation_count":7,"complexity_ratio":715.0,"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":1664,"base":11},"right_expr":{"type":"numeric_atoms","value":2994,"base":11}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1248,"base":11},"right_expr":{"type":"numeric_atoms","value":4989,"base":11}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2868,"base":11}}}}},"used_operators":["e1ybzncUwg","rxpJgHHUmx","EBcxylXtPf","sdazOOVcIp","XhwjNDsVaA","dWAJyo7jo9","9ICcGScMcE"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","k8jYdgA6NY","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1664","layer":4},{"info":"number node, value=2994","layer":4},{"info":"compute binary expreesion, left_input=1664, right_input=2994, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-2558","layer":3},{"info":"compute unary expreesion, input=-2558, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=-3715","layer":2},{"info":"number node, value=1248","layer":4},{"info":"number node, value=4989","layer":4},{"info":"compute binary expreesion, left_input=1248, right_input=4989, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=2868","layer":4},{"info":"compute unary expreesion, input=2868, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2868","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2868, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-3715, 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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"≉((⋰*⋻1283⪨≂⋰*⋻2282)⫌⩹⨱)≭(⋰*⋻A35⪢⋰*⋻3826/(≦∁⋰*⋻2178))=NaN","reverse_text":"NaN=≉((⋰*⋻1283⪨≂⋰*⋻2282)⫌⩹⨱)≭(⋰*⋻A35⪢⋰*⋻3826/(≦∁⋰*⋻2178))","cot":[{"info":"⋰*⋻1283⪨≂⋰*⋻2282=⋰*⋻-1A16","layer":3},{"info":"⋰*⋻-1A16⫌⩹⨱=⋰*⋻-2878","layer":2},{"info":"⋰*⋻A35⪢⋰*⋻3826=NaN","layer":3},{"info":"≦∁⋰*⋻2178=⋰*⋻2178","layer":3},{"info":"NaN/⋰*⋻2178=NaN","layer":2},{"info":"⋰*⋻-2878≭NaN=NaN","layer":1},{"info":"≉NaN=NaN","layer":0}]}
{"id":140,"expression_no_base_symbol":"($3497$⨰$7877$⋥≓≎$2078$⋝⋈⪟$3121$)∀⇚≩($3492$⋓$6388$+($2685$⨵⪆$6450$))⩷∴(⫓⪴((⨞⊢$5129$)↙($6543$≣⋋)))","expression":"(⋰*⋻269A⨰⋰*⋻5A11⋥≓≎⋰*⋻161A⋝⋈⪟⋰*⋻2388)∀⇚≩(⋰*⋻2695⋓⋰*⋻4888+(⋰*⋻2021⨵⪆⋰*⋻4934))⩷∴(⫓⪴((⨞⊢⋰*⋻3943)↙(⋰*⋻4A09≣⋋)))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":6321,"operation_count":12,"complexity_ratio":526.75,"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":3497,"base":11},"right_expr":{"type":"numeric_atoms","value":7877,"base":11}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2078,"base":11},"right_expr":{"type":"numeric_atoms","value":3121,"base":11}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3492,"base":11},"right_expr":{"type":"numeric_atoms","value":6388,"base":11}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2685,"base":11},"right_expr":{"type":"numeric_atoms","value":6450,"base":11}}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":5129,"base":11}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":6543,"base":11}}}}},"used_operators":["9FxExcQeMw","LRNGc0VcxI","Qy55tPpLXF","eewbuw0ToL","2DDjHMKMc0","W4YGzv6Whe","T2fj7uvVaJ","2DQ55sFlQl","eLxqMNBOBk","yyfyN0ffXY","xUOZtlo3hN","Tcnh7f0tEr"],"dependent_operators":["rysDP5nf3Z","X99M06cbEe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3497","layer":4},{"info":"number node, value=7877","layer":4},{"info":"compute binary expreesion, left_input=3497, right_input=7877, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-4370","layer":3},{"info":"number node, value=2078","layer":4},{"info":"number node, value=3121","layer":4},{"info":"compute binary expreesion, left_input=2078, right_input=3121, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2078","layer":3},{"info":"compute binary expreesion, left_input=-4370, right_input=2078, 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=3492","layer":4},{"info":"number node, value=6388","layer":4},{"info":"compute binary expreesion, left_input=3492, right_input=6388, op_id = T2fj7uvVaJ binary_op_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=2685","layer":4},{"info":"number node, value=6450","layer":4},{"info":"compute binary expreesion, left_input=2685, right_input=6450, 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 = W4YGzv6Whe binary_op_definition= 'None', output=160","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=160, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"number node, value=5129","layer":4},{"info":"compute unary expreesion, input=5129, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-5303","layer":3},{"info":"number node, value=6543","layer":4},{"info":"compute unary expreesion, input=6543, 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=-5303, right_input=0, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5303","layer":2},{"info":"compute unary expreesion, input=-5303, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=28121809","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=28121809, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻269A⨰⋰*⋻5A11⋥≓≎⋰*⋻161A⋝⋈⪟⋰*⋻2388)∀⇚≩(⋰*⋻2695⋓⋰*⋻4888+(⋰*⋻2021⨵⪆⋰*⋻4934))⩷∴(⫓⪴((⨞⊢⋰*⋻3943)↙(⋰*⋻4A09≣⋋)))=NaN","reverse_text":"NaN=(⋰*⋻269A⨰⋰*⋻5A11⋥≓≎⋰*⋻161A⋝⋈⪟⋰*⋻2388)∀⇚≩(⋰*⋻2695⋓⋰*⋻4888+(⋰*⋻2021⨵⪆⋰*⋻4934))⩷∴(⫓⪴((⨞⊢⋰*⋻3943)↙(⋰*⋻4A09≣⋋)))","cot":[{"info":"⋰*⋻269A⨰⋰*⋻5A11=⋰*⋻-3313","layer":3},{"info":"⋰*⋻161A⋝⋈⪟⋰*⋻2388=⋰*⋻161A","layer":3},{"info":"⋰*⋻-3313⋥≓≎⋰*⋻161A=⋰*⋻61","layer":2},{"info":"⋰*⋻2695⋓⋰*⋻4888=⋰*⋻0","layer":3},{"info":"⋰*⋻2021⨵⪆⋰*⋻4934=⋰*⋻136","layer":3},{"info":"⋰*⋻0+⋰*⋻136=⋰*⋻136","layer":2},{"info":"⋰*⋻61∀⇚≩⋰*⋻136=NaN","layer":1},{"info":"⨞⊢⋰*⋻3943=⋰*⋻-3A91","layer":3},{"info":"⋰*⋻4A09≣⋋=⋰*⋻0","layer":3},{"info":"⋰*⋻-3A91↙⋰*⋻0=⋰*⋻-3A91","layer":2},{"info":"⫓⪴⋰*⋻-3A91=⋰*⋻14968371","layer":1},{"info":"NaN⩷∴⋰*⋻14968371=NaN","layer":0}]}
{"id":141,"expression_no_base_symbol":"⨈⫕(($3784$≎⊠⪸$3009$)⊴(∥⊫$7443$)%(⩦⩻⨪$2185$)⩚⊴⇥$1837$⋝⋈⪟$4025$)","expression":"⨈⫕((⋰*⋻2930≎⊠⪸⋰*⋻2296)⊴(∥⊫⋰*⋻5657)%(⩦⩻⨪⋰*⋻1707)⩚⊴⇥⋰*⋻1420⋝⋈⪟⋰*⋻302A)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":130012,"operation_count":8,"complexity_ratio":16251.5,"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":3784,"base":11},"right_expr":{"type":"numeric_atoms","value":3009,"base":11}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":7443,"base":11}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2185,"base":11}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1837,"base":11},"right_expr":{"type":"numeric_atoms","value":4025,"base":11}}}}},"used_operators":["megm06wKyl","k8jYdgA6NY","Nsiff2A1zJ","bJkvcejdHO","P8v4zCKN1o","NTOWxs364D","2td37pGCOC","2DDjHMKMc0"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻-1A","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3784","layer":4},{"info":"number node, value=3009","layer":4},{"info":"compute binary expreesion, left_input=3784, right_input=3009, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=979583","layer":3},{"info":"number node, value=7443","layer":4},{"info":"compute unary expreesion, input=7443, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=8311","layer":3},{"info":"compute binary expreesion, left_input=979583, right_input=8311, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=2185","layer":4},{"info":"compute unary expreesion, input=2185, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2185","layer":3},{"info":"number node, value=1837","layer":4},{"info":"number node, value=4025","layer":4},{"info":"compute binary expreesion, left_input=1837, right_input=4025, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1837","layer":3},{"info":"compute binary expreesion, left_input=2185, right_input=1837, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4143","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-4143, op_id = k8jYdgA6NY binary_op_definition= 'None', 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":11,"result_base":11,"text":"⨈⫕((⋰*⋻2930≎⊠⪸⋰*⋻2296)⊴(∥⊫⋰*⋻5657)%(⩦⩻⨪⋰*⋻1707)⩚⊴⇥⋰*⋻1420⋝⋈⪟⋰*⋻302A)=⋰*⋻-1A","reverse_text":"⋰*⋻-1A=⨈⫕((⋰*⋻2930≎⊠⪸⋰*⋻2296)⊴(∥⊫⋰*⋻5657)%(⩦⩻⨪⋰*⋻1707)⩚⊴⇥⋰*⋻1420⋝⋈⪟⋰*⋻302A)","cot":[{"info":"⋰*⋻2930≎⊠⪸⋰*⋻2296=⋰*⋻609A80","layer":3},{"info":"∥⊫⋰*⋻5657=⋰*⋻6276","layer":3},{"info":"⋰*⋻609A80⊴⋰*⋻6276=NaN","layer":2},{"info":"⩦⩻⨪⋰*⋻1707=⋰*⋻1707","layer":3},{"info":"⋰*⋻1420⋝⋈⪟⋰*⋻302A=⋰*⋻1420","layer":3},{"info":"⋰*⋻1707⩚⊴⇥⋰*⋻1420=⋰*⋻-3127","layer":2},{"info":"NaN%⋰*⋻-3127=NaN","layer":1},{"info":"⨈⫕NaN=⋰*⋻-1A","layer":0}]}
{"id":142,"expression_no_base_symbol":"(↣≠⋷(($2865$⩚⊴⇥$1691$)∸))⩠","expression":"(↣≠⋷((⋰*⋻2175⩚⊴⇥⋰*⋻12A8)∸))⩠","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":31529,"operation_count":4,"complexity_ratio":7882.25,"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":2865,"base":11},"right_expr":{"type":"numeric_atoms","value":1691,"base":11}}}}},"used_operators":["sJAwomhLZr","Asc51vEJeQ","o20kRiQErp","NTOWxs364D"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","XhwjNDsVaA","AHs5Up7iyr","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2865","layer":4},{"info":"number node, value=1691","layer":4},{"info":"compute binary expreesion, left_input=2865, right_input=1691, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4677","layer":3},{"info":"compute unary expreesion, input=-4677, 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 unary expreesion, input=nan, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(↣≠⋷((⋰*⋻2175⩚⊴⇥⋰*⋻12A8)∸))⩠=NaN","reverse_text":"NaN=(↣≠⋷((⋰*⋻2175⩚⊴⇥⋰*⋻12A8)∸))⩠","cot":[{"info":"⋰*⋻2175⩚⊴⇥⋰*⋻12A8=⋰*⋻-3572","layer":3},{"info":"⋰*⋻-3572∸=⋰*⋻151","layer":2},{"info":"↣≠⋷⋰*⋻151=NaN","layer":1},{"info":"NaN⩠=NaN","layer":0}]}
{"id":143,"expression_no_base_symbol":"(($1513$⫸⊐$3126$)⪘⫢($1010$⨓$5163$))⪢($6975$∀⇚≩$2722$∲⫓(⪲⇎$1128$))⩨(⪲⇎($2335$⪨≂$3903$))⨎(⊥($2113$%$3120$))","expression":"((⋰*⋻1156⫸⊐⋰*⋻2392)⪘⫢(⋰*⋻839⨓⋰*⋻3974))⪢(⋰*⋻5271∀⇚≩⋰*⋻2055∲⫓(⪲⇎⋰*⋻936))⩨(⪲⇎(⋰*⋻1833⪨≂⋰*⋻2A29))⨎(⊥(⋰*⋻1651%⋰*⋻2387))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":54046,"operation_count":13,"complexity_ratio":4157.384615384615,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1513,"base":11},"right_expr":{"type":"numeric_atoms","value":3126,"base":11}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1010,"base":11},"right_expr":{"type":"numeric_atoms","value":5163,"base":11}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":6975,"base":11},"right_expr":{"type":"numeric_atoms","value":2722,"base":11}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1128,"base":11}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2335,"base":11},"right_expr":{"type":"numeric_atoms","value":3903,"base":11}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2113,"base":11},"right_expr":{"type":"numeric_atoms","value":3120,"base":11}}}}},"used_operators":["2DlMacCsIx","dWAJyo7jo9","oacrs7FA3X","mqXw5SEYmG","3ViojmjbAp","i8ToyICDmI","LRNGc0VcxI","XPYlsWDdGa","rJVOvQCfKK","sdazOOVcIp","Q3PJZHRvZv","k8jYdgA6NY"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1513","layer":4},{"info":"number node, value=3126","layer":4},{"info":"compute binary expreesion, left_input=1513, right_input=3126, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=12379","layer":3},{"info":"number node, value=1010","layer":4},{"info":"number node, value=5163","layer":4},{"info":"compute binary expreesion, left_input=1010, right_input=5163, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5166","layer":3},{"info":"compute binary expreesion, left_input=12379, right_input=-5166, 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=6975","layer":4},{"info":"number node, value=2722","layer":4},{"info":"compute binary expreesion, left_input=6975, right_input=2722, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":"compute unary expreesion, input=1128, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2256","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2256, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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=2335","layer":4},{"info":"number node, value=3903","layer":4},{"info":"compute binary expreesion, left_input=2335, right_input=3903, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-3034","layer":3},{"info":"compute unary expreesion, input=-3034, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-6068","layer":2},{"info":"number node, value=2113","layer":4},{"info":"number node, value=3120","layer":4},{"info":"compute binary expreesion, left_input=2113, right_input=3120, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2113","layer":3},{"info":"compute unary expreesion, input=2113, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-6068, 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=0, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1156⫸⊐⋰*⋻2392)⪘⫢(⋰*⋻839⨓⋰*⋻3974))⪢(⋰*⋻5271∀⇚≩⋰*⋻2055∲⫓(⪲⇎⋰*⋻936))⩨(⪲⇎(⋰*⋻1833⪨≂⋰*⋻2A29))⨎(⊥(⋰*⋻1651%⋰*⋻2387))=NaN","reverse_text":"NaN=((⋰*⋻1156⫸⊐⋰*⋻2392)⪘⫢(⋰*⋻839⨓⋰*⋻3974))⪢(⋰*⋻5271∀⇚≩⋰*⋻2055∲⫓(⪲⇎⋰*⋻936))⩨(⪲⇎(⋰*⋻1833⪨≂⋰*⋻2A29))⨎(⊥(⋰*⋻1651%⋰*⋻2387))","cot":[{"info":"⋰*⋻1156⫸⊐⋰*⋻2392=⋰*⋻9334","layer":3},{"info":"⋰*⋻839⨓⋰*⋻3974=⋰*⋻-3977","layer":3},{"info":"⋰*⋻9334⪘⫢⋰*⋻-3977=⋰*⋻0","layer":2},{"info":"⋰*⋻5271∀⇚≩⋰*⋻2055=NaN","layer":3},{"info":"⪲⇎⋰*⋻936=⋰*⋻1771","layer":3},{"info":"NaN∲⫓⋰*⋻1771=⋰*⋻0","layer":2},{"info":"⋰*⋻0⪢⋰*⋻0=⋰*⋻0","layer":1},{"info":"⋰*⋻1833⪨≂⋰*⋻2A29=⋰*⋻-2309","layer":3},{"info":"⪲⇎⋰*⋻-2309=⋰*⋻-4617","layer":2},{"info":"⋰*⋻1651%⋰*⋻2387=⋰*⋻1651","layer":3},{"info":"⊥⋰*⋻1651=NaN","layer":2},{"info":"⋰*⋻-4617⨎NaN=NaN","layer":1},{"info":"⋰*⋻0⩨NaN=NaN","layer":0}]}
{"id":144,"expression_no_base_symbol":"($1244$∀⇚≩$8990$∲⫓$3765$∲⫓$2994$)⪒($1988$⩨$1483$)+⇶⊼($6500$*$5010$)⫡⨏(↣≠⋷($2048$≧⫂∧$1960$))⪢($1525$∀⇚≩$4834$⨸⪁$1398$∑⇟⊟$3247$)","expression":"(⋰*⋻A31∀⇚≩⋰*⋻6833∲⫓⋰*⋻2913∲⫓⋰*⋻2282)⪒(⋰*⋻1548⩨⋰*⋻1129)+⇶⊼(⋰*⋻497A*⋰*⋻3845)⫡⨏(↣≠⋷(⋰*⋻15A2≧⫂∧⋰*⋻1522))⪢(⋰*⋻1167∀⇚≩⋰*⋻36A5⨸⪁⋰*⋻1061∑⇟⊟⋰*⋻2492)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":24420,"operation_count":14,"complexity_ratio":1744.2857142857142,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1244,"base":11},"right_expr":{"type":"numeric_atoms","value":8990,"base":11}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3765,"base":11},"right_expr":{"type":"numeric_atoms","value":2994,"base":11}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1988,"base":11},"right_expr":{"type":"numeric_atoms","value":1483,"base":11}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":6500,"base":11},"right_expr":{"type":"numeric_atoms","value":5010,"base":11}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2048,"base":11},"right_expr":{"type":"numeric_atoms","value":1960,"base":11}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1525,"base":11},"right_expr":{"type":"numeric_atoms","value":4834,"base":11}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1398,"base":11},"right_expr":{"type":"numeric_atoms","value":3247,"base":11}}}}},"used_operators":["QMFrweE19q","f6k1SAg4EE","i8ToyICDmI","LRNGc0VcxI","TpPTUOHfaN","2DlMacCsIx","9HNa5Wba9A","dWAJyo7jo9","Asc51vEJeQ","Ph9nP6C5qx","g55IO6H4Gj","U7g4x0WXJJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","AHs5Up7iyr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","k8jYdgA6NY","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1244","layer":4},{"info":"number node, value=8990","layer":4},{"info":"compute binary expreesion, left_input=1244, 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":3},{"info":"number node, value=3765","layer":4},{"info":"number node, value=2994","layer":4},{"info":"compute binary expreesion, left_input=3765, right_input=2994, 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 = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"number node, value=1988","layer":4},{"info":"number node, value=1483","layer":4},{"info":"compute binary expreesion, left_input=1988, right_input=1483, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=6500","layer":4},{"info":"number node, value=5010","layer":4},{"info":"compute binary expreesion, left_input=6500, right_input=5010, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=32565000","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=32565000, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=2048","layer":4},{"info":"number node, value=1960","layer":4},{"info":"compute binary expreesion, left_input=2048, right_input=1960, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1487","layer":3},{"info":"compute unary expreesion, input=1487, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=1525","layer":4},{"info":"number node, value=4834","layer":4},{"info":"compute binary expreesion, left_input=1525, right_input=4834, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1398","layer":4},{"info":"number node, value=3247","layer":4},{"info":"compute binary expreesion, left_input=1398, right_input=3247, 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 = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻A31∀⇚≩⋰*⋻6833∲⫓⋰*⋻2913∲⫓⋰*⋻2282)⪒(⋰*⋻1548⩨⋰*⋻1129)+⇶⊼(⋰*⋻497A*⋰*⋻3845)⫡⨏(↣≠⋷(⋰*⋻15A2≧⫂∧⋰*⋻1522))⪢(⋰*⋻1167∀⇚≩⋰*⋻36A5⨸⪁⋰*⋻1061∑⇟⊟⋰*⋻2492)=NaN","reverse_text":"NaN=(⋰*⋻A31∀⇚≩⋰*⋻6833∲⫓⋰*⋻2913∲⫓⋰*⋻2282)⪒(⋰*⋻1548⩨⋰*⋻1129)+⇶⊼(⋰*⋻497A*⋰*⋻3845)⫡⨏(↣≠⋷(⋰*⋻15A2≧⫂∧⋰*⋻1522))⪢(⋰*⋻1167∀⇚≩⋰*⋻36A5⨸⪁⋰*⋻1061∑⇟⊟⋰*⋻2492)","cot":[{"info":"⋰*⋻A31∀⇚≩⋰*⋻6833=NaN","layer":3},{"info":"⋰*⋻2913∲⫓⋰*⋻2282=⋰*⋻0","layer":3},{"info":"NaN∲⫓⋰*⋻0=NaN","layer":2},{"info":"⋰*⋻1548⩨⋰*⋻1129=⋰*⋻0","layer":3},{"info":"⋰*⋻497A*⋰*⋻3845=⋰*⋻17422626","layer":3},{"info":"⋰*⋻0+⇶⊼⋰*⋻17422626=NaN","layer":2},{"info":"NaN⪒NaN=NaN","layer":1},{"info":"⋰*⋻15A2≧⫂∧⋰*⋻1522=⋰*⋻1132","layer":3},{"info":"↣≠⋷⋰*⋻1132=NaN","layer":2},{"info":"⋰*⋻1167∀⇚≩⋰*⋻36A5=NaN","layer":3},{"info":"⋰*⋻1061∑⇟⊟⋰*⋻2492=NaN","layer":3},{"info":"NaN⨸⪁NaN=NaN","layer":2},{"info":"NaN⪢NaN=NaN","layer":1},{"info":"NaN⫡⨏NaN=NaN","layer":0}]}
{"id":145,"expression_no_base_symbol":"((⫛⫱⨽($1847$⩨$2723$))⪛(($1016$⋓$4755$)⇷(⨑⩽⪐$3834$)))⪮%⊝((↩$6789$)≹⇙⪍(≉$1534$)⨓($1189$%$1477$⫡⨏$5263$⪒$7373$))","expression":"((⫛⫱⨽(⋰*⋻142A⩨⋰*⋻2056))⪛((⋰*⋻844⋓⋰*⋻3633)⇷(⨑⩽⪐⋰*⋻2976)))⪮%⊝((↩⋰*⋻5112)≹⇙⪍(≉⋰*⋻1175)⨓(⋰*⋻991%⋰*⋻1123⫡⨏⋰*⋻3A55⪒⋰*⋻55A3))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":19537,"operation_count":14,"complexity_ratio":1395.5,"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":1847,"base":11},"right_expr":{"type":"numeric_atoms","value":2723,"base":11}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1016,"base":11},"right_expr":{"type":"numeric_atoms","value":4755,"base":11}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":3834,"base":11}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":6789,"base":11}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1534,"base":11}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1189,"base":11},"right_expr":{"type":"numeric_atoms","value":1477,"base":11}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":5263,"base":11},"right_expr":{"type":"numeric_atoms","value":7373,"base":11}}}}},"used_operators":["IWmyXbctLI","uFcxV4UQCh","DlLNRPXxWL","2DlMacCsIx","mp7IySMOzn","T2fj7uvVaJ","AF7qkfDlqP","3ViojmjbAp","AHs5Up7iyr","jLgFTUHLKL","e1ybzncUwg","QMFrweE19q","k8jYdgA6NY","f6k1SAg4EE"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rGHVDoGpnC","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","dWAJyo7jo9","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1847","layer":4},{"info":"number node, value=2723","layer":4},{"info":"compute binary expreesion, left_input=1847, right_input=2723, 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 = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"number node, value=1016","layer":4},{"info":"number node, value=4755","layer":4},{"info":"compute binary expreesion, left_input=1016, right_input=4755, op_id = T2fj7uvVaJ binary_op_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=3834","layer":4},{"info":"compute unary expreesion, input=3834, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-3561","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-3561, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"number node, value=6789","layer":4},{"info":"compute unary expreesion, input=6789, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-51532","layer":3},{"info":"number node, value=1534","layer":4},{"info":"compute unary expreesion, input=1534, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2065","layer":3},{"info":"compute binary expreesion, left_input=-51532, right_input=2065, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=1189","layer":4},{"info":"number node, value=1477","layer":4},{"info":"compute binary expreesion, left_input=1189, right_input=1477, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1189","layer":3},{"info":"number node, value=5263","layer":4},{"info":"number node, value=7373","layer":4},{"info":"compute binary expreesion, left_input=5263, right_input=7373, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-12636","layer":3},{"info":"compute binary expreesion, left_input=1189, right_input=-12636, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-18544","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-18544, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=18541","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=18541, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⫛⫱⨽(⋰*⋻142A⩨⋰*⋻2056))⪛((⋰*⋻844⋓⋰*⋻3633)⇷(⨑⩽⪐⋰*⋻2976)))⪮%⊝((↩⋰*⋻5112)≹⇙⪍(≉⋰*⋻1175)⨓(⋰*⋻991%⋰*⋻1123⫡⨏⋰*⋻3A55⪒⋰*⋻55A3))=NaN","reverse_text":"NaN=((⫛⫱⨽(⋰*⋻142A⩨⋰*⋻2056))⪛((⋰*⋻844⋓⋰*⋻3633)⇷(⨑⩽⪐⋰*⋻2976)))⪮%⊝((↩⋰*⋻5112)≹⇙⪍(≉⋰*⋻1175)⨓(⋰*⋻991%⋰*⋻1123⫡⨏⋰*⋻3A55⪒⋰*⋻55A3))","cot":[{"info":"⋰*⋻142A⩨⋰*⋻2056=⋰*⋻-3","layer":3},{"info":"⫛⫱⨽⋰*⋻-3=⋰*⋻0","layer":2},{"info":"⋰*⋻844⋓⋰*⋻3633=⋰*⋻0","layer":3},{"info":"⨑⩽⪐⋰*⋻2976=⋰*⋻-2748","layer":3},{"info":"⋰*⋻0⇷⋰*⋻-2748=⋰*⋻0","layer":2},{"info":"⋰*⋻0⪛⋰*⋻0=NaN","layer":1},{"info":"↩⋰*⋻5112=⋰*⋻-35798","layer":3},{"info":"≉⋰*⋻1175=⋰*⋻1608","layer":3},{"info":"⋰*⋻-35798≹⇙⪍⋰*⋻1608=NaN","layer":2},{"info":"⋰*⋻991%⋰*⋻1123=⋰*⋻991","layer":3},{"info":"⋰*⋻3A55⪒⋰*⋻55A3=⋰*⋻-9548","layer":3},{"info":"⋰*⋻991⫡⨏⋰*⋻-9548=⋰*⋻-12A29","layer":2},{"info":"NaN⨓⋰*⋻-12A29=⋰*⋻12A26","layer":1},{"info":"NaN⪮%⊝⋰*⋻12A26=NaN","layer":0}]}
{"id":146,"expression_no_base_symbol":"(⫓⪴$3825$⪛$3774$⨪↰⇹$2461$⪛$5003$)⋥≓≎($3893$⊴$3480$≧⫂∧(≦∁$1220$))⪮%⊝(($2018$≭$3018$)⪛($1797$⨰$4171$))","expression":"(⫓⪴⋰*⋻2968⪛⋰*⋻2921⨪↰⇹⋰*⋻1938⪛⋰*⋻3839)⋥≓≎(⋰*⋻2A1A⊴⋰*⋻2684≧⫂∧(≦∁⋰*⋻A0A))⪮%⊝((⋰*⋻1575≭⋰*⋻22A4)⪛(⋰*⋻1394⨰⋰*⋻3152))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":12230,"operation_count":12,"complexity_ratio":1019.1666666666666,"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":3825,"base":11},"right_expr":{"type":"numeric_atoms","value":3774,"base":11}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2461,"base":11},"right_expr":{"type":"numeric_atoms","value":5003,"base":11}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3893,"base":11},"right_expr":{"type":"numeric_atoms","value":3480,"base":11}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1220,"base":11}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2018,"base":11},"right_expr":{"type":"numeric_atoms","value":3018,"base":11}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1797,"base":11},"right_expr":{"type":"numeric_atoms","value":4171,"base":11}}}}},"used_operators":["Qy55tPpLXF","eLxqMNBOBk","tmPS8pqC7x","uFcxV4UQCh","IWmyXbctLI","Ph9nP6C5qx","Nsiff2A1zJ","9ICcGScMcE","rxpJgHHUmx","eewbuw0ToL"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","rJVOvQCfKK","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3825","layer":4},{"info":"number node, value=3774","layer":4},{"info":"compute binary expreesion, left_input=3825, right_input=3774, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=51","layer":3},{"info":"number node, value=2461","layer":4},{"info":"number node, value=5003","layer":4},{"info":"compute binary expreesion, left_input=2461, right_input=5003, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2461","layer":3},{"info":"compute binary expreesion, left_input=51, right_input=2461, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=51","layer":2},{"info":"compute unary expreesion, input=51, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=2601","layer":1},{"info":"number node, value=3893","layer":4},{"info":"number node, value=3480","layer":4},{"info":"compute binary expreesion, left_input=3893, right_input=3480, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1220","layer":4},{"info":"compute unary expreesion, input=1220, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1220","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1220, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=747","layer":2},{"info":"number node, value=2018","layer":4},{"info":"number node, value=3018","layer":4},{"info":"compute binary expreesion, left_input=2018, right_input=3018, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=1797","layer":4},{"info":"number node, value=4171","layer":4},{"info":"compute binary expreesion, left_input=1797, right_input=4171, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2364","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2364, 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=747, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2601, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⫓⪴⋰*⋻2968⪛⋰*⋻2921⨪↰⇹⋰*⋻1938⪛⋰*⋻3839)⋥≓≎(⋰*⋻2A1A⊴⋰*⋻2684≧⫂∧(≦∁⋰*⋻A0A))⪮%⊝((⋰*⋻1575≭⋰*⋻22A4)⪛(⋰*⋻1394⨰⋰*⋻3152))=NaN","reverse_text":"NaN=(⫓⪴⋰*⋻2968⪛⋰*⋻2921⨪↰⇹⋰*⋻1938⪛⋰*⋻3839)⋥≓≎(⋰*⋻2A1A⊴⋰*⋻2684≧⫂∧(≦∁⋰*⋻A0A))⪮%⊝((⋰*⋻1575≭⋰*⋻22A4)⪛(⋰*⋻1394⨰⋰*⋻3152))","cot":[{"info":"⋰*⋻2968⪛⋰*⋻2921=⋰*⋻47","layer":3},{"info":"⋰*⋻1938⪛⋰*⋻3839=⋰*⋻1938","layer":3},{"info":"⋰*⋻47⨪↰⇹⋰*⋻1938=⋰*⋻47","layer":2},{"info":"⫓⪴⋰*⋻47=⋰*⋻1A55","layer":1},{"info":"⋰*⋻2A1A⊴⋰*⋻2684=NaN","layer":3},{"info":"≦∁⋰*⋻A0A=⋰*⋻A0A","layer":3},{"info":"NaN≧⫂∧⋰*⋻A0A=⋰*⋻61A","layer":2},{"info":"⋰*⋻1575≭⋰*⋻22A4=NaN","layer":3},{"info":"⋰*⋻1394⨰⋰*⋻3152=⋰*⋻-185A","layer":3},{"info":"NaN⪛⋰*⋻-185A=NaN","layer":2},{"info":"⋰*⋻61A⪮%⊝NaN=NaN","layer":1},{"info":"⋰*⋻1A55⋥≓≎NaN=NaN","layer":0}]}
{"id":147,"expression_no_base_symbol":"($2455$≭$5612$≭(≉$4122$)≎⊠⪸($1764$⪛$3931$⨳⩥⨓($1734$⫸⊐$1701$)))↬(((⨞⊢$7427$)⋳⪒$5473$≧⫂∧$3255$)+⇶⊼($4420$↙$1713$⪒($1748$⫌⩹⨱)))","expression":"(⋰*⋻1932≭⋰*⋻4242≭(≉⋰*⋻3108)≎⊠⪸(⋰*⋻1364⪛⋰*⋻2A54⨳⩥⨓(⋰*⋻1337⫸⊐⋰*⋻1307)))↬(((⨞⊢⋰*⋻5642)⋳⪒⋰*⋻4126≧⫂∧⋰*⋻249A)+⇶⊼(⋰*⋻3359↙⋰*⋻1318⪒(⋰*⋻134A⫌⩹⨱)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1785,"operation_count":15,"complexity_ratio":119.0,"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":2455,"base":11},"right_expr":{"type":"numeric_atoms","value":5612,"base":11}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":4122,"base":11}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1764,"base":11},"right_expr":{"type":"numeric_atoms","value":3931,"base":11}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1734,"base":11},"right_expr":{"type":"numeric_atoms","value":1701,"base":11}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":7427,"base":11}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":5473,"base":11},"right_expr":{"type":"numeric_atoms","value":3255,"base":11}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4420,"base":11},"right_expr":{"type":"numeric_atoms","value":1713,"base":11}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1748,"base":11}}}}},"used_operators":["B5M0gjZbta","bJkvcejdHO","rxpJgHHUmx","e1ybzncUwg","nCS4ZIUYfx","uFcxV4UQCh","mqXw5SEYmG","TpPTUOHfaN","12rbrZMWeM","xUOZtlo3hN","Ph9nP6C5qx","f6k1SAg4EE","yyfyN0ffXY","EBcxylXtPf"],"dependent_operators":["rGHVDoGpnC","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2455","layer":4},{"info":"number node, value=5612","layer":4},{"info":"compute binary expreesion, left_input=2455, right_input=5612, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=4122","layer":4},{"info":"compute unary expreesion, input=4122, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=4653","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4653, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1764","layer":4},{"info":"number node, value=3931","layer":4},{"info":"compute binary expreesion, left_input=1764, right_input=3931, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1764","layer":3},{"info":"number node, value=1734","layer":4},{"info":"number node, value=1701","layer":4},{"info":"compute binary expreesion, left_input=1734, right_input=1701, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6679","layer":3},{"info":"compute binary expreesion, left_input=1764, right_input=6679, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=4915","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4915, 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=7427","layer":4},{"info":"compute unary expreesion, input=7427, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-7601","layer":3},{"info":"number node, value=5473","layer":4},{"info":"number node, value=3255","layer":4},{"info":"compute binary expreesion, left_input=5473, right_input=3255, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2782","layer":3},{"info":"compute binary expreesion, left_input=-7601, right_input=2782, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-18271","layer":2},{"info":"number node, value=4420","layer":4},{"info":"number node, value=1713","layer":4},{"info":"compute binary expreesion, left_input=4420, right_input=1713, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5139","layer":3},{"info":"number node, value=1748","layer":4},{"info":"compute unary expreesion, input=1748, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=4897","layer":3},{"info":"compute binary expreesion, left_input=-5139, right_input=4897, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=242","layer":2},{"info":"compute binary expreesion, left_input=-18271, right_input=242, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1932≭⋰*⋻4242≭(≉⋰*⋻3108)≎⊠⪸(⋰*⋻1364⪛⋰*⋻2A54⨳⩥⨓(⋰*⋻1337⫸⊐⋰*⋻1307)))↬(((⨞⊢⋰*⋻5642)⋳⪒⋰*⋻4126≧⫂∧⋰*⋻249A)+⇶⊼(⋰*⋻3359↙⋰*⋻1318⪒(⋰*⋻134A⫌⩹⨱)))=NaN","reverse_text":"NaN=(⋰*⋻1932≭⋰*⋻4242≭(≉⋰*⋻3108)≎⊠⪸(⋰*⋻1364⪛⋰*⋻2A54⨳⩥⨓(⋰*⋻1337⫸⊐⋰*⋻1307)))↬(((⨞⊢⋰*⋻5642)⋳⪒⋰*⋻4126≧⫂∧⋰*⋻249A)+⇶⊼(⋰*⋻3359↙⋰*⋻1318⪒(⋰*⋻134A⫌⩹⨱)))","cot":[{"info":"⋰*⋻1932≭⋰*⋻4242=NaN","layer":3},{"info":"≉⋰*⋻3108=⋰*⋻3550","layer":3},{"info":"NaN≭⋰*⋻3550=NaN","layer":2},{"info":"⋰*⋻1364⪛⋰*⋻2A54=⋰*⋻1364","layer":3},{"info":"⋰*⋻1337⫸⊐⋰*⋻1307=⋰*⋻5022","layer":3},{"info":"⋰*⋻1364⨳⩥⨓⋰*⋻5022=⋰*⋻3769","layer":2},{"info":"NaN≎⊠⪸⋰*⋻3769=NaN","layer":1},{"info":"⨞⊢⋰*⋻5642=⋰*⋻-5790","layer":3},{"info":"⋰*⋻4126≧⫂∧⋰*⋻249A=⋰*⋻20AA","layer":3},{"info":"⋰*⋻-5790⋳⪒⋰*⋻20AA=⋰*⋻-12800","layer":2},{"info":"⋰*⋻3359↙⋰*⋻1318=⋰*⋻-3952","layer":3},{"info":"⋰*⋻134A⫌⩹⨱=⋰*⋻3752","layer":3},{"info":"⋰*⋻-3952⪒⋰*⋻3752=⋰*⋻200","layer":2},{"info":"⋰*⋻-12800+⇶⊼⋰*⋻200=NaN","layer":1},{"info":"NaN↬NaN=NaN","layer":0}]}
{"id":148,"expression_no_base_symbol":"((($4754$⋷$4232$)-$1504$≧⫂∧$1275$)⪒(⪝⪂⫅$7063$)≹⇙⪍($4759$⩤))⇷(($1728$∲⫓$5533$+($3986$≦≮≮))∑⇟⊟(⊙↵-$2624$)≹⇙⪍($5799$⨸⪁$2506$))","expression":"(((⋰*⋻3632⋷⋰*⋻31A8)-⋰*⋻1148≧⫂∧⋰*⋻A5A)⪒(⪝⪂⫅⋰*⋻5341)≹⇙⪍(⋰*⋻3637⩤))⇷((⋰*⋻1331∲⫓⋰*⋻4180+(⋰*⋻2AA4≦≮≮))∑⇟⊟(⊙↵-⋰*⋻1A76)≹⇙⪍(⋰*⋻43A2⨸⪁⋰*⋻1979))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2848,"operation_count":15,"complexity_ratio":189.86666666666667,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":4754,"base":11},"right_expr":{"type":"numeric_atoms","value":4232,"base":11}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1504,"base":11},"right_expr":{"type":"numeric_atoms","value":1275,"base":11}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":7063,"base":11}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":4759,"base":11}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1728,"base":11},"right_expr":{"type":"numeric_atoms","value":5533,"base":11}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":3986,"base":11}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2624,"base":11}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":5799,"base":11},"right_expr":{"type":"numeric_atoms","value":2506,"base":11}}}}},"used_operators":["mp7IySMOzn","f6k1SAg4EE","rysDP5nf3Z","23Mk6UjR3U","Ph9nP6C5qx","AHs5Up7iyr","XTarYq4gQB","Z2TMIBDE3Q","U7g4x0WXJJ","W4YGzv6Whe","i8ToyICDmI","D4vGDi5EA2","oWn0xqSxBt","g55IO6H4Gj"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4754","layer":4},{"info":"number node, value=4232","layer":4},{"info":"compute binary expreesion, left_input=4754, right_input=4232, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3710","layer":3},{"info":"number node, value=1504","layer":4},{"info":"number node, value=1275","layer":4},{"info":"compute binary expreesion, left_input=1504, right_input=1275, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=802","layer":3},{"info":"compute binary expreesion, left_input=3710, right_input=802, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2908","layer":2},{"info":"number node, value=7063","layer":4},{"info":"compute unary expreesion, input=7063, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-1038261","layer":3},{"info":"number node, value=4759","layer":4},{"info":"compute unary expreesion, input=4759, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-4759","layer":3},{"info":"compute binary expreesion, left_input=-1038261, right_input=-4759, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=2908, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=1728","layer":4},{"info":"number node, value=5533","layer":4},{"info":"compute binary expreesion, left_input=1728, right_input=5533, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=3986","layer":4},{"info":"compute unary expreesion, input=3986, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-11958","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-11958, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-11958","layer":2},{"info":"number node, value=2624","layer":4},{"info":"compute unary expreesion, input=2624, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=5799","layer":4},{"info":"number node, value=2506","layer":4},{"info":"compute binary expreesion, left_input=5799, right_input=2506, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=16610","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=16610, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=-11958, 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 = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻3632⋷⋰*⋻31A8)-⋰*⋻1148≧⫂∧⋰*⋻A5A)⪒(⪝⪂⫅⋰*⋻5341)≹⇙⪍(⋰*⋻3637⩤))⇷((⋰*⋻1331∲⫓⋰*⋻4180+(⋰*⋻2AA4≦≮≮))∑⇟⊟(⊙↵-⋰*⋻1A76)≹⇙⪍(⋰*⋻43A2⨸⪁⋰*⋻1979))=NaN","reverse_text":"NaN=(((⋰*⋻3632⋷⋰*⋻31A8)-⋰*⋻1148≧⫂∧⋰*⋻A5A)⪒(⪝⪂⫅⋰*⋻5341)≹⇙⪍(⋰*⋻3637⩤))⇷((⋰*⋻1331∲⫓⋰*⋻4180+(⋰*⋻2AA4≦≮≮))∑⇟⊟(⊙↵-⋰*⋻1A76)≹⇙⪍(⋰*⋻43A2⨸⪁⋰*⋻1979))","cot":[{"info":"⋰*⋻3632⋷⋰*⋻31A8=⋰*⋻2873","layer":3},{"info":"⋰*⋻1148≧⫂∧⋰*⋻A5A=⋰*⋻66A","layer":3},{"info":"⋰*⋻2873-⋰*⋻66A=⋰*⋻2204","layer":2},{"info":"⪝⪂⫅⋰*⋻5341=⋰*⋻-64A074","layer":3},{"info":"⋰*⋻3637⩤=⋰*⋻-3637","layer":3},{"info":"⋰*⋻-64A074≹⇙⪍⋰*⋻-3637=NaN","layer":2},{"info":"⋰*⋻2204⪒NaN=NaN","layer":1},{"info":"⋰*⋻1331∲⫓⋰*⋻4180=⋰*⋻0","layer":3},{"info":"⋰*⋻2AA4≦≮≮=⋰*⋻-8A91","layer":3},{"info":"⋰*⋻0+⋰*⋻-8A91=⋰*⋻-8A91","layer":2},{"info":"⊙↵-⋰*⋻1A76=⋰*⋻-1","layer":3},{"info":"⋰*⋻43A2⨸⪁⋰*⋻1979=⋰*⋻11530","layer":3},{"info":"⋰*⋻-1≹⇙⪍⋰*⋻11530=NaN","layer":2},{"info":"⋰*⋻-8A91∑⇟⊟NaN=NaN","layer":1},{"info":"NaN⇷NaN=NaN","layer":0}]}
{"id":149,"expression_no_base_symbol":"(⨰⫟⨤(($3457$⨵⪆$7303$)+⇶⊼($1657$⨽$2036$)))⨳⩥⨓($4089$⩷∴$2774$⋝⋈⪟(⨑⩽⪐$1040$)↺(($2978$∧)≣⋋))","expression":"(⨰⫟⨤((⋰*⋻2663⨵⪆⋰*⋻553A)+⇶⊼(⋰*⋻1277⨽⋰*⋻1591)))⨳⩥⨓(⋰*⋻3088⩷∴⋰*⋻20A2⋝⋈⪟(⨑⩽⪐⋰*⋻866)↺((⋰*⋻2268∧)≣⋋))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1725,"operation_count":11,"complexity_ratio":156.8181818181818,"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":3457,"base":11},"right_expr":{"type":"numeric_atoms","value":7303,"base":11}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1657,"base":11},"right_expr":{"type":"numeric_atoms","value":2036,"base":11}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4089,"base":11},"right_expr":{"type":"numeric_atoms","value":2774,"base":11}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1040,"base":11}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":2978,"base":11}}}}},"used_operators":["nCS4ZIUYfx","Tw270M8GLb","TpPTUOHfaN","2DQ55sFlQl","8HhzD0ZcuI","7j4O788W3g","2DDjHMKMc0","9FxExcQeMw","AF7qkfDlqP","Tcnh7f0tEr","z63VuFQld9"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3457","layer":4},{"info":"number node, value=7303","layer":4},{"info":"compute binary expreesion, left_input=3457, right_input=7303, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1657","layer":4},{"info":"number node, value=2036","layer":4},{"info":"compute binary expreesion, left_input=1657, right_input=2036, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-8241741","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-8241741, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=4089","layer":4},{"info":"number node, value=2774","layer":4},{"info":"compute binary expreesion, left_input=4089, right_input=2774, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2598","layer":3},{"info":"number node, value=1040","layer":4},{"info":"compute unary expreesion, input=1040, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-767","layer":3},{"info":"compute binary expreesion, left_input=2598, right_input=-767, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2598","layer":2},{"info":"number node, value=2978","layer":4},{"info":"compute unary expreesion, input=2978, 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 = 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=2598, 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 = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⨰⫟⨤((⋰*⋻2663⨵⪆⋰*⋻553A)+⇶⊼(⋰*⋻1277⨽⋰*⋻1591)))⨳⩥⨓(⋰*⋻3088⩷∴⋰*⋻20A2⋝⋈⪟(⨑⩽⪐⋰*⋻866)↺((⋰*⋻2268∧)≣⋋))=NaN","reverse_text":"NaN=(⨰⫟⨤((⋰*⋻2663⨵⪆⋰*⋻553A)+⇶⊼(⋰*⋻1277⨽⋰*⋻1591)))⨳⩥⨓(⋰*⋻3088⩷∴⋰*⋻20A2⋝⋈⪟(⨑⩽⪐⋰*⋻866)↺((⋰*⋻2268∧)≣⋋))","cot":[{"info":"⋰*⋻2663⨵⪆⋰*⋻553A=⋰*⋻136","layer":3},{"info":"⋰*⋻1277⨽⋰*⋻1591=⋰*⋻-471A162","layer":3},{"info":"⋰*⋻136+⇶⊼⋰*⋻-471A162=NaN","layer":2},{"info":"⨰⫟⨤NaN=NaN","layer":1},{"info":"⋰*⋻3088⩷∴⋰*⋻20A2=⋰*⋻1A52","layer":3},{"info":"⨑⩽⪐⋰*⋻866=⋰*⋻-638","layer":3},{"info":"⋰*⋻1A52⋝⋈⪟⋰*⋻-638=⋰*⋻1A52","layer":2},{"info":"⋰*⋻2268∧=NaN","layer":3},{"info":"NaN≣⋋=NaN","layer":2},{"info":"⋰*⋻1A52↺NaN=NaN","layer":1},{"info":"NaN⨳⩥⨓NaN=NaN","layer":0}]}
{"id":150,"expression_no_base_symbol":"($1320$⊴$3540$≎⊠⪸(↣≠⋷$1437$))⪮%⊝((⇁⨣⪵$4854$)⪄$1129$∼$1021$)⩚⊴⇥(($1133$↙$1158$)⊴(⊙↵-$1082$)⩚⊴⇥($2670$⨸⪁$2375$)∀⇚≩($3687$⊦⊿))","expression":"(⋰*⋻AA0⊴⋰*⋻2729≎⊠⪸(↣≠⋷⋰*⋻1097))⪮%⊝((⇁⨣⪵⋰*⋻3713)⪄⋰*⋻937∼⋰*⋻849)⩚⊴⇥((⋰*⋻940↙⋰*⋻963)⊴(⊙↵-⋰*⋻8A4)⩚⊴⇥(⋰*⋻2008⨸⪁⋰*⋻186A)∀⇚≩(⋰*⋻2852⊦⊿))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":80029,"operation_count":15,"complexity_ratio":5335.266666666666,"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":1320,"base":11},"right_expr":{"type":"numeric_atoms","value":3540,"base":11}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1437,"base":11}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":4854,"base":11}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1129,"base":11},"right_expr":{"type":"numeric_atoms","value":1021,"base":11}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1133,"base":11},"right_expr":{"type":"numeric_atoms","value":1158,"base":11}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1082,"base":11}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2670,"base":11},"right_expr":{"type":"numeric_atoms","value":2375,"base":11}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":3687,"base":11}}}}},"used_operators":["NTOWxs364D","IWmyXbctLI","bJkvcejdHO","Nsiff2A1zJ","Asc51vEJeQ","SUmda5xLS4","inkyxCbjAn","DyGG3AbaNP","yyfyN0ffXY","oWn0xqSxBt","LRNGc0VcxI","g55IO6H4Gj","14qkJME0vr"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","14qkJME0vr","XhwjNDsVaA","AHs5Up7iyr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","B5M0gjZbta","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","tmPS8pqC7x","DpFCA1CohY","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","X99M06cbEe","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1320","layer":4},{"info":"number node, value=3540","layer":4},{"info":"compute binary expreesion, left_input=1320, right_input=3540, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1437","layer":4},{"info":"compute unary expreesion, input=1437, 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 = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":2},{"info":"number node, value=4854","layer":4},{"info":"compute unary expreesion, input=4854, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=1129","layer":4},{"info":"number node, value=1021","layer":4},{"info":"compute binary expreesion, left_input=1129, right_input=1021, 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 = 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=67, right_input=3979, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=450","layer":1},{"info":"number node, value=1133","layer":4},{"info":"number node, value=1158","layer":4},{"info":"compute binary expreesion, left_input=1133, right_input=1158, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3474","layer":3},{"info":"number node, value=1082","layer":4},{"info":"compute unary expreesion, input=1082, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=-3474, right_input=-1, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":2},{"info":"number node, value=2670","layer":4},{"info":"number node, value=2375","layer":4},{"info":"compute binary expreesion, left_input=2670, right_input=2375, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10090","layer":3},{"info":"number node, value=3687","layer":4},{"info":"compute unary expreesion, input=3687, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-11140","layer":3},{"info":"compute binary expreesion, left_input=10090, right_input=-11140, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=-79, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=450, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻AA0⊴⋰*⋻2729≎⊠⪸(↣≠⋷⋰*⋻1097))⪮%⊝((⇁⨣⪵⋰*⋻3713)⪄⋰*⋻937∼⋰*⋻849)⩚⊴⇥((⋰*⋻940↙⋰*⋻963)⊴(⊙↵-⋰*⋻8A4)⩚⊴⇥(⋰*⋻2008⨸⪁⋰*⋻186A)∀⇚≩(⋰*⋻2852⊦⊿))=NaN","reverse_text":"NaN=(⋰*⋻AA0⊴⋰*⋻2729≎⊠⪸(↣≠⋷⋰*⋻1097))⪮%⊝((⇁⨣⪵⋰*⋻3713)⪄⋰*⋻937∼⋰*⋻849)⩚⊴⇥((⋰*⋻940↙⋰*⋻963)⊴(⊙↵-⋰*⋻8A4)⩚⊴⇥(⋰*⋻2008⨸⪁⋰*⋻186A)∀⇚≩(⋰*⋻2852⊦⊿))","cot":[{"info":"⋰*⋻AA0⊴⋰*⋻2729=NaN","layer":3},{"info":"↣≠⋷⋰*⋻1097=NaN","layer":3},{"info":"NaN≎⊠⪸NaN=⋰*⋻61","layer":2},{"info":"⇁⨣⪵⋰*⋻3713=NaN","layer":3},{"info":"⋰*⋻937∼⋰*⋻849=NaN","layer":3},{"info":"NaN⪄NaN=⋰*⋻2A98","layer":2},{"info":"⋰*⋻61⪮%⊝⋰*⋻2A98=⋰*⋻37A","layer":1},{"info":"⋰*⋻940↙⋰*⋻963=⋰*⋻-2679","layer":3},{"info":"⊙↵-⋰*⋻8A4=⋰*⋻-1","layer":3},{"info":"⋰*⋻-2679⊴⋰*⋻-1=⋰*⋻-72","layer":2},{"info":"⋰*⋻2008⨸⪁⋰*⋻186A=⋰*⋻7643","layer":3},{"info":"⋰*⋻2852⊦⊿=⋰*⋻-8408","layer":3},{"info":"⋰*⋻7643∀⇚≩⋰*⋻-8408=NaN","layer":2},{"info":"⋰*⋻-72⩚⊴⇥NaN=NaN","layer":1},{"info":"⋰*⋻37A⩚⊴⇥NaN=NaN","layer":0}]}
{"id":151,"expression_no_base_symbol":"($1096$∑⇟⊟$1049$⋓($7860$⫌⩹⨱)⪒$1193$⨎$2343$⫸⊐(≦∁$2015$))⨽(⪲⇎(($1620$⨵⪆$3562$)∲⫓(∥⊫$3185$)))","expression":"(⋰*⋻907∑⇟⊟⋰*⋻874⋓(⋰*⋻59A6⫌⩹⨱)⪒⋰*⋻995⨎⋰*⋻1840⫸⊐(≦∁⋰*⋻1572))⨽(⪲⇎((⋰*⋻1243⨵⪆⋰*⋻2749)∲⫓(∥⊫⋰*⋻2436)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":8003,"operation_count":12,"complexity_ratio":666.9166666666666,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1096,"base":11},"right_expr":{"type":"numeric_atoms","value":1049,"base":11}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":7860,"base":11}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1193,"base":11},"right_expr":{"type":"numeric_atoms","value":2343,"base":11}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2015,"base":11}}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1620,"base":11},"right_expr":{"type":"numeric_atoms","value":3562,"base":11}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":3185,"base":11}}}}},"used_operators":["8HhzD0ZcuI","f6k1SAg4EE","T2fj7uvVaJ","U7g4x0WXJJ","EBcxylXtPf","mqXw5SEYmG","rJVOvQCfKK","9ICcGScMcE","XPYlsWDdGa","i8ToyICDmI","2DQ55sFlQl","P8v4zCKN1o"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻-9769596A","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1096","layer":4},{"info":"number node, value=1049","layer":4},{"info":"compute binary expreesion, left_input=1096, right_input=1049, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=7860","layer":4},{"info":"compute unary expreesion, input=7860, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=17121","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=17121, op_id = T2fj7uvVaJ binary_op_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=1193","layer":4},{"info":"number node, value=2343","layer":4},{"info":"compute binary expreesion, left_input=1193, right_input=2343, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2343","layer":3},{"info":"number node, value=2015","layer":4},{"info":"compute unary expreesion, input=2015, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2015","layer":3},{"info":"compute binary expreesion, left_input=2343, right_input=2015, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=7935","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=7935, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7935","layer":1},{"info":"number node, value=1620","layer":4},{"info":"number node, value=3562","layer":4},{"info":"compute binary expreesion, left_input=1620, right_input=3562, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=3185","layer":4},{"info":"compute unary expreesion, input=3185, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4053","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=4053, 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 = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-7935, right_input=0, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-188891361","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻907∑⇟⊟⋰*⋻874⋓(⋰*⋻59A6⫌⩹⨱)⪒⋰*⋻995⨎⋰*⋻1840⫸⊐(≦∁⋰*⋻1572))⨽(⪲⇎((⋰*⋻1243⨵⪆⋰*⋻2749)∲⫓(∥⊫⋰*⋻2436)))=⋰*⋻-9769596A","reverse_text":"⋰*⋻-9769596A=(⋰*⋻907∑⇟⊟⋰*⋻874⋓(⋰*⋻59A6⫌⩹⨱)⪒⋰*⋻995⨎⋰*⋻1840⫸⊐(≦∁⋰*⋻1572))⨽(⪲⇎((⋰*⋻1243⨵⪆⋰*⋻2749)∲⫓(∥⊫⋰*⋻2436)))","cot":[{"info":"⋰*⋻907∑⇟⊟⋰*⋻874=NaN","layer":3},{"info":"⋰*⋻59A6⫌⩹⨱=⋰*⋻11955","layer":3},{"info":"NaN⋓⋰*⋻11955=⋰*⋻0","layer":2},{"info":"⋰*⋻995⨎⋰*⋻1840=⋰*⋻1840","layer":3},{"info":"≦∁⋰*⋻1572=⋰*⋻1572","layer":3},{"info":"⋰*⋻1840⫸⊐⋰*⋻1572=⋰*⋻5A64","layer":2},{"info":"⋰*⋻0⪒⋰*⋻5A64=⋰*⋻-5A64","layer":1},{"info":"⋰*⋻1243⨵⪆⋰*⋻2749=⋰*⋻136","layer":3},{"info":"∥⊫⋰*⋻2436=⋰*⋻3055","layer":3},{"info":"⋰*⋻136∲⫓⋰*⋻3055=⋰*⋻0","layer":2},{"info":"⪲⇎⋰*⋻0=⋰*⋻0","layer":1},{"info":"⋰*⋻-5A64⨽⋰*⋻0=⋰*⋻-9769596A","layer":0}]}
{"id":152,"expression_no_base_symbol":"(($2554$≋⫹)⫸⊐$5309$∀⇚≩$4509$)⩷∴($1551$⊭↱$1838$⩨(↩$1061$))/(≉($1406$⊉≛↸$6995$))≎⊠⪸(($1265$⨸⪁$6245$)⫩⊇)","expression":"((⋰*⋻1A12≋⫹)⫸⊐⋰*⋻3A97∀⇚≩⋰*⋻342A)⩷∴(⋰*⋻1190⊭↱⋰*⋻1421⩨(↩⋰*⋻885))/(≉(⋰*⋻1069⊉≛↸⋰*⋻528A))≎⊠⪸((⋰*⋻A50⨸⪁⋰*⋻4768)⫩⊇)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":37257,"operation_count":13,"complexity_ratio":2865.923076923077,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":2554,"base":11}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":5309,"base":11},"right_expr":{"type":"numeric_atoms","value":4509,"base":11}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1551,"base":11},"right_expr":{"type":"numeric_atoms","value":1838,"base":11}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1061,"base":11}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1406,"base":11},"right_expr":{"type":"numeric_atoms","value":6995,"base":11}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1265,"base":11},"right_expr":{"type":"numeric_atoms","value":6245,"base":11}}}}},"used_operators":["XhwjNDsVaA","9FxExcQeMw","mqXw5SEYmG","N41Kp7NANJ","LRNGc0VcxI","2DlMacCsIx","COABgblf1C","jLgFTUHLKL","bJkvcejdHO","e1ybzncUwg","DZ8iAZOCBD","BjRHVeLaeN","g55IO6H4Gj"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"⋰*⋻25","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2554","layer":4},{"info":"compute unary expreesion, input=2554, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-5108","layer":3},{"info":"number node, value=5309","layer":4},{"info":"number node, value=4509","layer":4},{"info":"compute binary expreesion, left_input=5309, right_input=4509, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=-5108, 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=1551","layer":4},{"info":"number node, value=1838","layer":4},{"info":"compute binary expreesion, left_input=1551, right_input=1838, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=579","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=579, right_input=-5708, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=30","layer":2},{"info":"compute binary expreesion, left_input=968, right_input=30, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1844","layer":1},{"info":"number node, value=1406","layer":4},{"info":"number node, value=6995","layer":4},{"info":"compute binary expreesion, left_input=1406, right_input=6995, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2812","layer":3},{"info":"compute unary expreesion, input=2812, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3343","layer":2},{"info":"number node, value=1265","layer":4},{"info":"number node, value=6245","layer":4},{"info":"compute binary expreesion, left_input=1265, right_input=6245, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=15020","layer":3},{"info":"compute unary expreesion, input=15020, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-14978","layer":2},{"info":"compute binary expreesion, left_input=3343, right_input=-14978, 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=1844, right_input=67, op_id = XhwjNDsVaA binary_op_definition= 'None', output=27","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1A12≋⫹)⫸⊐⋰*⋻3A97∀⇚≩⋰*⋻342A)⩷∴(⋰*⋻1190⊭↱⋰*⋻1421⩨(↩⋰*⋻885))/(≉(⋰*⋻1069⊉≛↸⋰*⋻528A))≎⊠⪸((⋰*⋻A50⨸⪁⋰*⋻4768)⫩⊇)=⋰*⋻25","reverse_text":"⋰*⋻25=((⋰*⋻1A12≋⫹)⫸⊐⋰*⋻3A97∀⇚≩⋰*⋻342A)⩷∴(⋰*⋻1190⊭↱⋰*⋻1421⩨(↩⋰*⋻885))/(≉(⋰*⋻1069⊉≛↸⋰*⋻528A))≎⊠⪸((⋰*⋻A50⨸⪁⋰*⋻4768)⫩⊇)","cot":[{"info":"⋰*⋻1A12≋⫹=⋰*⋻-3924","layer":3},{"info":"⋰*⋻3A97∀⇚≩⋰*⋻342A=NaN","layer":3},{"info":"⋰*⋻-3924⫸⊐NaN=⋰*⋻800","layer":2},{"info":"⋰*⋻1190⊭↱⋰*⋻1421=⋰*⋻487","layer":3},{"info":"↩⋰*⋻885=⋰*⋻-431A","layer":3},{"info":"⋰*⋻487⩨⋰*⋻-431A=⋰*⋻28","layer":2},{"info":"⋰*⋻800⩷∴⋰*⋻28=⋰*⋻1427","layer":1},{"info":"⋰*⋻1069⊉≛↸⋰*⋻528A=⋰*⋻2127","layer":3},{"info":"≉⋰*⋻2127=⋰*⋻256A","layer":2},{"info":"⋰*⋻A50⨸⪁⋰*⋻4768=⋰*⋻10315","layer":3},{"info":"⋰*⋻10315⫩⊇=⋰*⋻-10287","layer":2},{"info":"⋰*⋻256A≎⊠⪸⋰*⋻-10287=⋰*⋻61","layer":1},{"info":"⋰*⋻1427/⋰*⋻61=⋰*⋻25","layer":0}]}
{"id":153,"expression_no_base_symbol":"((⊥$5207$)⋷$1682$⪮%⊝$3782$)≹⇙⪍(($1184$⊭↱$1809$)⋓$1170$⨪↰⇹$1731$)⪒($1131$⋥≓≎$4288$)⪘⫢($2147$⨵⪆$1375$)≧⫂∧($7140$⊭↱$4063$⪨≂$1137$⨳⩥⨓$2103$)","expression":"((⊥⋰*⋻3A04)⋷⋰*⋻129A⪮%⊝⋰*⋻2929)≹⇙⪍((⋰*⋻987⊭↱⋰*⋻13A5)⋓⋰*⋻974⨪↰⇹⋰*⋻1334)⪒(⋰*⋻939⋥≓≎⋰*⋻3249)⪘⫢(⋰*⋻1682⨵⪆⋰*⋻1040)≧⫂∧(⋰*⋻5401⊭↱⋰*⋻3064⪨≂⋰*⋻944⨳⩥⨓⋰*⋻1642)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1235,"operation_count":15,"complexity_ratio":82.33333333333333,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":5207,"base":11}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1682,"base":11},"right_expr":{"type":"numeric_atoms","value":3782,"base":11}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1184,"base":11},"right_expr":{"type":"numeric_atoms","value":1809,"base":11}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1170,"base":11},"right_expr":{"type":"numeric_atoms","value":1731,"base":11}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1131,"base":11},"right_expr":{"type":"numeric_atoms","value":4288,"base":11}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2147,"base":11},"right_expr":{"type":"numeric_atoms","value":1375,"base":11}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":7140,"base":11},"right_expr":{"type":"numeric_atoms","value":4063,"base":11}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1137,"base":11},"right_expr":{"type":"numeric_atoms","value":2103,"base":11}}}}},"used_operators":["f6k1SAg4EE","AHs5Up7iyr","23Mk6UjR3U","Q3PJZHRvZv","IWmyXbctLI","T2fj7uvVaJ","COABgblf1C","tmPS8pqC7x","Ph9nP6C5qx","oacrs7FA3X","Qy55tPpLXF","2DQ55sFlQl","sdazOOVcIp","nCS4ZIUYfx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5207","layer":4},{"info":"compute unary expreesion, input=5207, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=1682","layer":4},{"info":"number node, value=3782","layer":4},{"info":"compute binary expreesion, left_input=1682, right_input=3782, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3680","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3680, 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=1184","layer":4},{"info":"number node, value=1809","layer":4},{"info":"compute binary expreesion, left_input=1184, right_input=1809, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=1255","layer":3},{"info":"number node, value=1170","layer":4},{"info":"number node, value=1731","layer":4},{"info":"compute binary expreesion, left_input=1170, right_input=1731, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1170","layer":3},{"info":"compute binary expreesion, left_input=1255, right_input=1170, op_id = T2fj7uvVaJ binary_op_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 = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=1131","layer":4},{"info":"number node, value=4288","layer":4},{"info":"compute binary expreesion, left_input=1131, right_input=4288, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=7478","layer":3},{"info":"number node, value=2147","layer":4},{"info":"number node, value=1375","layer":4},{"info":"compute binary expreesion, left_input=2147, right_input=1375, 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=7478, 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":2},{"info":"number node, value=7140","layer":4},{"info":"number node, value=4063","layer":4},{"info":"compute binary expreesion, left_input=7140, right_input=4063, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-6149","layer":3},{"info":"number node, value=1137","layer":4},{"info":"number node, value=2103","layer":4},{"info":"compute binary expreesion, left_input=1137, right_input=2103, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=966","layer":3},{"info":"compute binary expreesion, left_input=-6149, right_input=966, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-14128","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-14128, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=14128","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=14128, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⊥⋰*⋻3A04)⋷⋰*⋻129A⪮%⊝⋰*⋻2929)≹⇙⪍((⋰*⋻987⊭↱⋰*⋻13A5)⋓⋰*⋻974⨪↰⇹⋰*⋻1334)⪒(⋰*⋻939⋥≓≎⋰*⋻3249)⪘⫢(⋰*⋻1682⨵⪆⋰*⋻1040)≧⫂∧(⋰*⋻5401⊭↱⋰*⋻3064⪨≂⋰*⋻944⨳⩥⨓⋰*⋻1642)=NaN","reverse_text":"NaN=((⊥⋰*⋻3A04)⋷⋰*⋻129A⪮%⊝⋰*⋻2929)≹⇙⪍((⋰*⋻987⊭↱⋰*⋻13A5)⋓⋰*⋻974⨪↰⇹⋰*⋻1334)⪒(⋰*⋻939⋥≓≎⋰*⋻3249)⪘⫢(⋰*⋻1682⨵⪆⋰*⋻1040)≧⫂∧(⋰*⋻5401⊭↱⋰*⋻3064⪨≂⋰*⋻944⨳⩥⨓⋰*⋻1642)","cot":[{"info":"⊥⋰*⋻3A04=NaN","layer":3},{"info":"⋰*⋻129A⪮%⊝⋰*⋻2929=⋰*⋻2846","layer":3},{"info":"NaN⋷⋰*⋻2846=NaN","layer":2},{"info":"⋰*⋻987⊭↱⋰*⋻13A5=⋰*⋻A41","layer":3},{"info":"⋰*⋻974⨪↰⇹⋰*⋻1334=⋰*⋻974","layer":3},{"info":"⋰*⋻A41⋓⋰*⋻974=⋰*⋻0","layer":2},{"info":"NaN≹⇙⪍⋰*⋻0=NaN","layer":1},{"info":"⋰*⋻939⋥≓≎⋰*⋻3249=⋰*⋻5689","layer":3},{"info":"⋰*⋻1682⨵⪆⋰*⋻1040=⋰*⋻136","layer":3},{"info":"⋰*⋻5689⪘⫢⋰*⋻136=⋰*⋻0","layer":2},{"info":"⋰*⋻5401⊭↱⋰*⋻3064=⋰*⋻-4690","layer":3},{"info":"⋰*⋻944⨳⩥⨓⋰*⋻1642=⋰*⋻7A9","layer":3},{"info":"⋰*⋻-4690⪨≂⋰*⋻7A9=⋰*⋻-A684","layer":2},{"info":"⋰*⋻0≧⫂∧⋰*⋻-A684=⋰*⋻A684","layer":1},{"info":"NaN⪒⋰*⋻A684=NaN","layer":0}]}
{"id":154,"expression_no_base_symbol":"⨰⫟⨤(↩($7793$⨪↰⇹$9663$⪒$5198$⊉≛↸$8175$))","expression":"⨰⫟⨤(↩(⋰*⋻5945⨪↰⇹⋰*⋻7295⪒⋰*⋻39A6⊉≛↸⋰*⋻6162))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":308482,"operation_count":5,"complexity_ratio":61696.4,"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":7793,"base":11},"right_expr":{"type":"numeric_atoms","value":9663,"base":11}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":5198,"base":11},"right_expr":{"type":"numeric_atoms","value":8175,"base":11}}}}},"used_operators":["Tw270M8GLb","jLgFTUHLKL","f6k1SAg4EE","tmPS8pqC7x","DZ8iAZOCBD"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7793","layer":4},{"info":"number node, value=9663","layer":4},{"info":"compute binary expreesion, left_input=7793, right_input=9663, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=7793","layer":3},{"info":"number node, value=5198","layer":4},{"info":"number node, value=8175","layer":4},{"info":"compute binary expreesion, left_input=5198, right_input=8175, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=10396","layer":3},{"info":"compute binary expreesion, left_input=7793, right_input=10396, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-18189","layer":2},{"info":"compute unary expreesion, input=-18189, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=75376","layer":1},{"info":"compute unary expreesion, input=75376, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⨰⫟⨤(↩(⋰*⋻5945⨪↰⇹⋰*⋻7295⪒⋰*⋻39A6⊉≛↸⋰*⋻6162))=NaN","reverse_text":"NaN=⨰⫟⨤(↩(⋰*⋻5945⨪↰⇹⋰*⋻7295⪒⋰*⋻39A6⊉≛↸⋰*⋻6162))","cot":[{"info":"⋰*⋻5945⨪↰⇹⋰*⋻7295=⋰*⋻5945","layer":3},{"info":"⋰*⋻39A6⊉≛↸⋰*⋻6162=⋰*⋻78A1","layer":3},{"info":"⋰*⋻5945⪒⋰*⋻78A1=⋰*⋻-12736","layer":2},{"info":"↩⋰*⋻-12736=⋰*⋻516A4","layer":1},{"info":"⨰⫟⨤⋰*⋻516A4=NaN","layer":0}]}
{"id":155,"expression_no_base_symbol":"(∂$2131$⊴$5385$⇷($6744$/$3304$))⊭↱(($1536$∑⇟⊟$2186$⇋≉)⊪)","expression":"(∂⋰*⋻1668⊴⋰*⋻4056⇷(⋰*⋻5081/⋰*⋻2534))⊭↱((⋰*⋻1177∑⇟⊟⋰*⋻1708⇋≉)⊪)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":5840,"operation_count":8,"complexity_ratio":730.0,"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":2131,"base":11},"right_expr":{"type":"numeric_atoms","value":5385,"base":11}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":6744,"base":11},"right_expr":{"type":"numeric_atoms","value":3304,"base":11}}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1536,"base":11},"right_expr":{"type":"numeric_atoms","value":2186,"base":11}}}}},"used_operators":["COABgblf1C","Uaa54Peajs","mp7IySMOzn","Nsiff2A1zJ","XhwjNDsVaA","zVYPLywUTj","XIabStNQrY","U7g4x0WXJJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2131","layer":4},{"info":"number node, value=5385","layer":4},{"info":"compute binary expreesion, left_input=2131, right_input=5385, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=6744","layer":4},{"info":"number node, value=3304","layer":4},{"info":"compute binary expreesion, left_input=6744, right_input=3304, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4","layer":2},{"info":"compute unary expreesion, input=4, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=-268","layer":1},{"info":"number node, value=1536","layer":4},{"info":"number node, value=2186","layer":4},{"info":"compute binary expreesion, left_input=1536, right_input=2186, 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 = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-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 binary expreesion, left_input=-268, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(∂⋰*⋻1668⊴⋰*⋻4056⇷(⋰*⋻5081/⋰*⋻2534))⊭↱((⋰*⋻1177∑⇟⊟⋰*⋻1708⇋≉)⊪)=NaN","reverse_text":"NaN=(∂⋰*⋻1668⊴⋰*⋻4056⇷(⋰*⋻5081/⋰*⋻2534))⊭↱((⋰*⋻1177∑⇟⊟⋰*⋻1708⇋≉)⊪)","cot":[{"info":"⋰*⋻1668⊴⋰*⋻4056=NaN","layer":3},{"info":"⋰*⋻5081/⋰*⋻2534=⋰*⋻2","layer":3},{"info":"NaN⇷⋰*⋻2=⋰*⋻4","layer":2},{"info":"∂⋰*⋻4=⋰*⋻-224","layer":1},{"info":"⋰*⋻1177∑⇟⊟⋰*⋻1708=NaN","layer":3},{"info":"NaN⇋≉=NaN","layer":2},{"info":"NaN⊪=NaN","layer":1},{"info":"⋰*⋻-224⊭↱NaN=NaN","layer":0}]}
{"id":156,"expression_no_base_symbol":"+⊝⨔(≦∁($2551$+$1287$)↬($3122$⊉≛↸$1446$))","expression":"+⊝⨔(≦∁(⋰*⋻1A0A+⋰*⋻A70)↬(⋰*⋻2389⊉≛↸⋰*⋻10A5))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":25,"operation_count":5,"complexity_ratio":5.0,"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":2551,"base":11},"right_expr":{"type":"numeric_atoms","value":1287,"base":11}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3122,"base":11},"right_expr":{"type":"numeric_atoms","value":1446,"base":11}}}}},"used_operators":["DhbWaqg5eL","9ICcGScMcE","B5M0gjZbta","W4YGzv6Whe","DZ8iAZOCBD"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻1164","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=2551","layer":4},{"info":"number node, value=1287","layer":4},{"info":"compute binary expreesion, left_input=2551, right_input=1287, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3838","layer":3},{"info":"number node, value=3122","layer":4},{"info":"number node, value=1446","layer":4},{"info":"compute binary expreesion, left_input=3122, right_input=1446, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6244","layer":3},{"info":"compute binary expreesion, left_input=3838, right_input=6244, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = 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 = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":0}],"base":11,"result_base":11,"text":"+⊝⨔(≦∁(⋰*⋻1A0A+⋰*⋻A70)↬(⋰*⋻2389⊉≛↸⋰*⋻10A5))=⋰*⋻1164","reverse_text":"⋰*⋻1164=+⊝⨔(≦∁(⋰*⋻1A0A+⋰*⋻A70)↬(⋰*⋻2389⊉≛↸⋰*⋻10A5))","cot":[{"info":"⋰*⋻1A0A+⋰*⋻A70=⋰*⋻297A","layer":3},{"info":"⋰*⋻2389⊉≛↸⋰*⋻10A5=⋰*⋻4767","layer":3},{"info":"⋰*⋻297A↬⋰*⋻4767=NaN","layer":2},{"info":"≦∁NaN=NaN","layer":1},{"info":"+⊝⨔NaN=⋰*⋻1164","layer":0}]}
{"id":157,"expression_no_base_symbol":"(∥⊫($3507$≎⊠⪸$4300$)≹⇙⪍(⫓⪴$4303$))⊴(⨑⩽⪐((↔$1712$)⊉≛↸$2178$⨪↰⇹$1419$))","expression":"(∥⊫(⋰*⋻26A9≎⊠⪸⋰*⋻325A)≹⇙⪍(⫓⪴⋰*⋻3262))⊴(⨑⩽⪐((↔⋰*⋻1317)⊉≛↸⋰*⋻1700⨪↰⇹⋰*⋻1080))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":11924,"operation_count":9,"complexity_ratio":1324.888888888889,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3507,"base":11},"right_expr":{"type":"numeric_atoms","value":4300,"base":11}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":4303,"base":11}}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1712,"base":11}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2178,"base":11},"right_expr":{"type":"numeric_atoms","value":1419,"base":11}}}}},"used_operators":["Nsiff2A1zJ","P8v4zCKN1o","AHs5Up7iyr","bJkvcejdHO","eLxqMNBOBk","AF7qkfDlqP","DZ8iAZOCBD","ruOEQAzv1W","tmPS8pqC7x"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3507","layer":4},{"info":"number node, value=4300","layer":4},{"info":"compute binary expreesion, left_input=3507, right_input=4300, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=907840","layer":3},{"info":"number node, value=4303","layer":4},{"info":"compute unary expreesion, input=4303, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=18515809","layer":3},{"info":"compute binary expreesion, left_input=907840, right_input=18515809, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":1},{"info":"number node, value=1712","layer":4},{"info":"compute unary expreesion, input=1712, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1439","layer":3},{"info":"number node, value=2178","layer":4},{"info":"number node, value=1419","layer":4},{"info":"compute binary expreesion, left_input=2178, right_input=1419, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2178","layer":3},{"info":"compute binary expreesion, left_input=-1439, right_input=2178, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-2178","layer":2},{"info":"compute unary expreesion, input=-2178, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=5145","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=5145, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(∥⊫(⋰*⋻26A9≎⊠⪸⋰*⋻325A)≹⇙⪍(⫓⪴⋰*⋻3262))⊴(⨑⩽⪐((↔⋰*⋻1317)⊉≛↸⋰*⋻1700⨪↰⇹⋰*⋻1080))=NaN","reverse_text":"NaN=(∥⊫(⋰*⋻26A9≎⊠⪸⋰*⋻325A)≹⇙⪍(⫓⪴⋰*⋻3262))⊴(⨑⩽⪐((↔⋰*⋻1317)⊉≛↸⋰*⋻1700⨪↰⇹⋰*⋻1080))","cot":[{"info":"⋰*⋻26A9≎⊠⪸⋰*⋻325A=⋰*⋻57008A","layer":3},{"info":"⫓⪴⋰*⋻3262=⋰*⋻A4A7224","layer":3},{"info":"⋰*⋻57008A≹⇙⪍⋰*⋻A4A7224=NaN","layer":2},{"info":"∥⊫NaN=NaN","layer":1},{"info":"↔⋰*⋻1317=⋰*⋻-1099","layer":3},{"info":"⋰*⋻1700⨪↰⇹⋰*⋻1080=⋰*⋻1700","layer":3},{"info":"⋰*⋻-1099⊉≛↸⋰*⋻1700=⋰*⋻-1700","layer":2},{"info":"⨑⩽⪐⋰*⋻-1700=⋰*⋻3958","layer":1},{"info":"NaN⊴⋰*⋻3958=NaN","layer":0}]}
{"id":158,"expression_no_base_symbol":"((($2082$⊉≛↸$1247$)⨎($3904$⩨$2874$))⩤)≋⫹","expression":"(((⋰*⋻1623⊉≛↸⋰*⋻A34)⨎(⋰*⋻2A2A⩨⋰*⋻2183))⩤)≋⫹","highest_n_order":2,"priority_hierarchical_complexity":3,"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":2082,"base":11},"right_expr":{"type":"numeric_atoms","value":1247,"base":11}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3904,"base":11},"right_expr":{"type":"numeric_atoms","value":2874,"base":11}}}}},"used_operators":["N41Kp7NANJ","Z2TMIBDE3Q","rJVOvQCfKK","DZ8iAZOCBD","2DlMacCsIx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=2082","layer":4},{"info":"number node, value=1247","layer":4},{"info":"compute binary expreesion, left_input=2082, right_input=1247, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4164","layer":3},{"info":"number node, value=3904","layer":4},{"info":"number node, value=2874","layer":4},{"info":"compute binary expreesion, left_input=3904, right_input=2874, 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=4164, right_input=0, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=0","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻1623⊉≛↸⋰*⋻A34)⨎(⋰*⋻2A2A⩨⋰*⋻2183))⩤)≋⫹=⋰*⋻0","reverse_text":"⋰*⋻0=(((⋰*⋻1623⊉≛↸⋰*⋻A34)⨎(⋰*⋻2A2A⩨⋰*⋻2183))⩤)≋⫹","cot":[{"info":"⋰*⋻1623⊉≛↸⋰*⋻A34=⋰*⋻3146","layer":3},{"info":"⋰*⋻2A2A⩨⋰*⋻2183=⋰*⋻0","layer":3},{"info":"⋰*⋻3146⨎⋰*⋻0=⋰*⋻0","layer":2},{"info":"⋰*⋻0⩤=⋰*⋻0","layer":1},{"info":"⋰*⋻0≋⫹=⋰*⋻0","layer":0}]}
{"id":159,"expression_no_base_symbol":"(≤/(↯⪼$3139$))∀⇚≩($3057$↙$4667$)∼($2387$⪐)⇼⇔∾(($1304$⩤)≧⫂∧($1663$⨁⊸⫻)∲⫓$2507$⨎$3785$-(⊙↵-$2054$))","expression":"(≤/(↯⪼⋰*⋻23A4))∀⇚≩(⋰*⋻232A↙⋰*⋻3563)∼(⋰*⋻1880⪐)⇼⇔∾((⋰*⋻A86⩤)≧⫂∧(⋰*⋻1282⨁⊸⫻)∲⫓⋰*⋻197A⨎⋰*⋻2931-(⊙↵-⋰*⋻15A8))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":10624,"operation_count":14,"complexity_ratio":758.8571428571429,"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":3139,"base":11}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3057,"base":11},"right_expr":{"type":"numeric_atoms","value":4667,"base":11}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":2387,"base":11}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1304,"base":11}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1663,"base":11}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2507,"base":11},"right_expr":{"type":"numeric_atoms","value":3785,"base":11}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2054,"base":11}}}}},"used_operators":["tifHPKVTfV","LRNGc0VcxI","eLAdDNolq6","8jW3W4yZS5","DyGG3AbaNP","yyfyN0ffXY","eH2TOUuTDT","i8ToyICDmI","Ph9nP6C5qx","Z2TMIBDE3Q","glklzrTFfD","rysDP5nf3Z","rJVOvQCfKK","oWn0xqSxBt"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3139","layer":4},{"info":"compute unary expreesion, input=3139, 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 = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=505","layer":2},{"info":"number node, value=3057","layer":4},{"info":"number node, value=4667","layer":4},{"info":"compute binary expreesion, left_input=3057, right_input=4667, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-14001","layer":3},{"info":"number node, value=2387","layer":4},{"info":"compute unary expreesion, input=2387, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=4774","layer":3},{"info":"compute binary expreesion, left_input=-14001, right_input=4774, 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=505, 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=1304","layer":4},{"info":"compute unary expreesion, input=1304, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1304","layer":3},{"info":"number node, value=1663","layer":4},{"info":"compute unary expreesion, input=1663, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1663","layer":3},{"info":"compute binary expreesion, left_input=-1304, right_input=1663, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1190","layer":2},{"info":"number node, value=2507","layer":4},{"info":"number node, value=3785","layer":4},{"info":"compute binary expreesion, left_input=2507, right_input=3785, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3785","layer":3},{"info":"number node, value=2054","layer":4},{"info":"compute unary expreesion, input=2054, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=3785, right_input=-1, op_id = rysDP5nf3Z binary_op_definition= 'None', output=3786","layer":2},{"info":"compute binary expreesion, left_input=1190, right_input=3786, 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 = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(≤/(↯⪼⋰*⋻23A4))∀⇚≩(⋰*⋻232A↙⋰*⋻3563)∼(⋰*⋻1880⪐)⇼⇔∾((⋰*⋻A86⩤)≧⫂∧(⋰*⋻1282⨁⊸⫻)∲⫓⋰*⋻197A⨎⋰*⋻2931-(⊙↵-⋰*⋻15A8))=NaN","reverse_text":"NaN=(≤/(↯⪼⋰*⋻23A4))∀⇚≩(⋰*⋻232A↙⋰*⋻3563)∼(⋰*⋻1880⪐)⇼⇔∾((⋰*⋻A86⩤)≧⫂∧(⋰*⋻1282⨁⊸⫻)∲⫓⋰*⋻197A⨎⋰*⋻2931-(⊙↵-⋰*⋻15A8))","cot":[{"info":"↯⪼⋰*⋻23A4=⋰*⋻-1A","layer":3},{"info":"≤/⋰*⋻-1A=⋰*⋻41A","layer":2},{"info":"⋰*⋻232A↙⋰*⋻3563=⋰*⋻-A579","layer":3},{"info":"⋰*⋻1880⪐=⋰*⋻3650","layer":3},{"info":"⋰*⋻-A579∼⋰*⋻3650=NaN","layer":2},{"info":"⋰*⋻41A∀⇚≩NaN=NaN","layer":1},{"info":"⋰*⋻A86⩤=⋰*⋻-A86","layer":3},{"info":"⋰*⋻1282⨁⊸⫻=⋰*⋻1282","layer":3},{"info":"⋰*⋻-A86≧⫂∧⋰*⋻1282=⋰*⋻992","layer":2},{"info":"⋰*⋻197A⨎⋰*⋻2931=⋰*⋻2931","layer":3},{"info":"⊙↵-⋰*⋻15A8=⋰*⋻-1","layer":3},{"info":"⋰*⋻2931-⋰*⋻-1=⋰*⋻2932","layer":2},{"info":"⋰*⋻992∲⫓⋰*⋻2932=⋰*⋻0","layer":1},{"info":"NaN⇼⇔∾⋰*⋻0=NaN","layer":0}]}
{"id":160,"expression_no_base_symbol":"↩($5605$⇷$3528$≦≮≮)⪘⫢(($1441$-$3119$)⨽$2211$≹⇙⪍$7672$)","expression":"↩(⋰*⋻4236⇷⋰*⋻2718≦≮≮)⪘⫢((⋰*⋻10A0-⋰*⋻2386)⨽⋰*⋻1730≹⇙⪍⋰*⋻5845)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":80196,"operation_count":7,"complexity_ratio":11456.57142857143,"tree":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":5605,"base":11},"right_expr":{"type":"numeric_atoms","value":3528,"base":11}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1441,"base":11},"right_expr":{"type":"numeric_atoms","value":3119,"base":11}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2211,"base":11},"right_expr":{"type":"numeric_atoms","value":7672,"base":11}}}}},"used_operators":["jLgFTUHLKL","oacrs7FA3X","D4vGDi5EA2","mp7IySMOzn","8HhzD0ZcuI","rysDP5nf3Z","AHs5Up7iyr"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5605","layer":4},{"info":"number node, value=3528","layer":4},{"info":"compute binary expreesion, left_input=5605, right_input=3528, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=7056","layer":3},{"info":"compute unary expreesion, input=7056, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-21168","layer":2},{"info":"number node, value=1441","layer":4},{"info":"number node, value=3119","layer":4},{"info":"compute binary expreesion, left_input=1441, right_input=3119, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1678","layer":3},{"info":"number node, value=2211","layer":4},{"info":"number node, value=7672","layer":4},{"info":"compute binary expreesion, left_input=2211, right_input=7672, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=-1678, 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=-21168, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"↩(⋰*⋻4236⇷⋰*⋻2718≦≮≮)⪘⫢((⋰*⋻10A0-⋰*⋻2386)⨽⋰*⋻1730≹⇙⪍⋰*⋻5845)=NaN","reverse_text":"NaN=↩(⋰*⋻4236⇷⋰*⋻2718≦≮≮)⪘⫢((⋰*⋻10A0-⋰*⋻2386)⨽⋰*⋻1730≹⇙⪍⋰*⋻5845)","cot":[{"info":"⋰*⋻4236⇷⋰*⋻2718=⋰*⋻5335","layer":3},{"info":"⋰*⋻5335≦≮≮=⋰*⋻-149A4","layer":2},{"info":"⋰*⋻10A0-⋰*⋻2386=⋰*⋻-1296","layer":3},{"info":"⋰*⋻1730≹⇙⪍⋰*⋻5845=NaN","layer":3},{"info":"⋰*⋻-1296⨽NaN=NaN","layer":2},{"info":"⋰*⋻-149A4⪘⫢NaN=NaN","layer":1},{"info":"↩NaN=NaN","layer":0}]}
{"id":161,"expression_no_base_symbol":"(($1609$⨽$5786$)≎⊠⪸(↽≂$1945$)⪒($6165$⊴$3431$+$5022$-$8186$))⨰((-$1269$⨰$3267$)⇼⇔∾$1515$∼$4279$⨳⩥⨓$1500$⫥∨⫟$4856$)","expression":"((⋰*⋻1233⨽⋰*⋻4390)≎⊠⪸(↽≂⋰*⋻1509)⪒(⋰*⋻46A5⊴⋰*⋻263A+⋰*⋻3856-⋰*⋻6172))⨰((-⋰*⋻A54⨰⋰*⋻2500)⇼⇔∾⋰*⋻1158∼⋰*⋻3240⨳⩥⨓⋰*⋻1144⫥∨⫟⋰*⋻3715)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":6686,"operation_count":14,"complexity_ratio":477.57142857142856,"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":1609,"base":11},"right_expr":{"type":"numeric_atoms","value":5786,"base":11}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1945,"base":11}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":6165,"base":11},"right_expr":{"type":"numeric_atoms","value":3431,"base":11}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":5022,"base":11},"right_expr":{"type":"numeric_atoms","value":8186,"base":11}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1269,"base":11},"right_expr":{"type":"numeric_atoms","value":3267,"base":11}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1515,"base":11},"right_expr":{"type":"numeric_atoms","value":4279,"base":11}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1500,"base":11},"right_expr":{"type":"numeric_atoms","value":4856,"base":11}}}}},"used_operators":["eewbuw0ToL","f6k1SAg4EE","bJkvcejdHO","8HhzD0ZcuI","u6S6b8DprG","W4YGzv6Whe","Nsiff2A1zJ","rysDP5nf3Z","tifHPKVTfV","t8gj7n24qd","nCS4ZIUYfx","DyGG3AbaNP","KYD54nUTWz"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1609","layer":4},{"info":"number node, value=5786","layer":4},{"info":"compute binary expreesion, left_input=1609, right_input=5786, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-7782687","layer":3},{"info":"number node, value=1945","layer":4},{"info":"compute unary expreesion, input=1945, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-3890","layer":3},{"info":"compute binary expreesion, left_input=-7782687, right_input=-3890, 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=6165","layer":4},{"info":"number node, value=3431","layer":4},{"info":"compute binary expreesion, left_input=6165, right_input=3431, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=5022","layer":4},{"info":"number node, value=8186","layer":4},{"info":"compute binary expreesion, left_input=5022, right_input=8186, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3164","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3164, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=1269","layer":4},{"info":"number node, value=3267","layer":4},{"info":"compute binary expreesion, left_input=1269, right_input=3267, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1988","layer":3},{"info":"compute unary expreesion, input=-1988, op_id = t8gj7n24qd, unary_op_definition = 'None', output=1988","layer":2},{"info":"number node, value=1515","layer":4},{"info":"number node, value=4279","layer":4},{"info":"compute binary expreesion, left_input=1515, right_input=4279, 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=1500","layer":4},{"info":"number node, value=4856","layer":4},{"info":"compute binary expreesion, left_input=1500, right_input=4856, 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 = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1988, 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 = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1233⨽⋰*⋻4390)≎⊠⪸(↽≂⋰*⋻1509)⪒(⋰*⋻46A5⊴⋰*⋻263A+⋰*⋻3856-⋰*⋻6172))⨰((-⋰*⋻A54⨰⋰*⋻2500)⇼⇔∾⋰*⋻1158∼⋰*⋻3240⨳⩥⨓⋰*⋻1144⫥∨⫟⋰*⋻3715)=NaN","reverse_text":"NaN=((⋰*⋻1233⨽⋰*⋻4390)≎⊠⪸(↽≂⋰*⋻1509)⪒(⋰*⋻46A5⊴⋰*⋻263A+⋰*⋻3856-⋰*⋻6172))⨰((-⋰*⋻A54⨰⋰*⋻2500)⇼⇔∾⋰*⋻1158∼⋰*⋻3240⨳⩥⨓⋰*⋻1144⫥∨⫟⋰*⋻3715)","cot":[{"info":"⋰*⋻1233⨽⋰*⋻4390=⋰*⋻-4436280","layer":3},{"info":"↽≂⋰*⋻1509=⋰*⋻-2A17","layer":3},{"info":"⋰*⋻-4436280≎⊠⪸⋰*⋻-2A17=⋰*⋻61","layer":2},{"info":"⋰*⋻46A5⊴⋰*⋻263A=NaN","layer":3},{"info":"⋰*⋻3856-⋰*⋻6172=⋰*⋻-2417","layer":3},{"info":"NaN+⋰*⋻-2417=NaN","layer":2},{"info":"⋰*⋻61⪒NaN=NaN","layer":1},{"info":"⋰*⋻A54⨰⋰*⋻2500=⋰*⋻-1548","layer":3},{"info":"-⋰*⋻-1548=⋰*⋻1548","layer":2},{"info":"⋰*⋻1158∼⋰*⋻3240=NaN","layer":3},{"info":"⋰*⋻1144⫥∨⫟⋰*⋻3715=NaN","layer":3},{"info":"NaN⨳⩥⨓NaN=NaN","layer":2},{"info":"⋰*⋻1548⇼⇔∾NaN=NaN","layer":1},{"info":"NaN⨰NaN=NaN","layer":0}]}
{"id":162,"expression_no_base_symbol":"$1866$⨟⋌⩍$1132$⪘⫢($2926$≣⋋)∑⇟⊟(($1547$⪒$2865$)⫩⊇)↙(($1443$/$4742$)⊉≛↸($2935$⊭↱$2966$))⨎((≦∁$7247$)∲⫓$6610$⨟⋌⩍$1111$)","expression":"⋰*⋻1447⨟⋌⩍⋰*⋻93A⪘⫢(⋰*⋻2220≣⋋)∑⇟⊟((⋰*⋻1187⪒⋰*⋻2175)⫩⊇)↙((⋰*⋻10A2/⋰*⋻3621)⊉≛↸(⋰*⋻2229⊭↱⋰*⋻2257))⨎((≦∁⋰*⋻5499)∲⫓⋰*⋻4A6A⨟⋌⩍⋰*⋻920)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":545,"operation_count":14,"complexity_ratio":38.92857142857143,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1866,"base":11},"right_expr":{"type":"numeric_atoms","value":1132,"base":11}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":2926,"base":11}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1547,"base":11},"right_expr":{"type":"numeric_atoms","value":2865,"base":11}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1443,"base":11},"right_expr":{"type":"numeric_atoms","value":4742,"base":11}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2935,"base":11},"right_expr":{"type":"numeric_atoms","value":2966,"base":11}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":7247,"base":11}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":6610,"base":11},"right_expr":{"type":"numeric_atoms","value":1111,"base":11}}}}},"used_operators":["yyfyN0ffXY","U7g4x0WXJJ","oacrs7FA3X","rGHVDoGpnC","Tcnh7f0tEr","BjRHVeLaeN","f6k1SAg4EE","rJVOvQCfKK","DZ8iAZOCBD","XhwjNDsVaA","COABgblf1C","i8ToyICDmI","9ICcGScMcE"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","Tcnh7f0tEr","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1866","layer":4},{"info":"number node, value=1132","layer":4},{"info":"compute binary expreesion, left_input=1866, right_input=1132, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2926","layer":4},{"info":"compute unary expreesion, input=2926, 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 = 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=1547","layer":4},{"info":"number node, value=2865","layer":4},{"info":"compute binary expreesion, left_input=1547, right_input=2865, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4412","layer":3},{"info":"compute unary expreesion, input=-4412, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=4454","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4454, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=1443","layer":4},{"info":"number node, value=4742","layer":4},{"info":"compute binary expreesion, left_input=1443, right_input=4742, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=2935","layer":4},{"info":"number node, value=2966","layer":4},{"info":"compute binary expreesion, left_input=2935, right_input=2966, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=67, 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=7247","layer":4},{"info":"compute unary expreesion, input=7247, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=7247","layer":3},{"info":"number node, value=6610","layer":4},{"info":"number node, value=1111","layer":4},{"info":"compute binary expreesion, left_input=6610, right_input=1111, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=7247, 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 = 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 = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⋰*⋻1447⨟⋌⩍⋰*⋻93A⪘⫢(⋰*⋻2220≣⋋)∑⇟⊟((⋰*⋻1187⪒⋰*⋻2175)⫩⊇)↙((⋰*⋻10A2/⋰*⋻3621)⊉≛↸(⋰*⋻2229⊭↱⋰*⋻2257))⨎((≦∁⋰*⋻5499)∲⫓⋰*⋻4A6A⨟⋌⩍⋰*⋻920)=NaN","reverse_text":"NaN=⋰*⋻1447⨟⋌⩍⋰*⋻93A⪘⫢(⋰*⋻2220≣⋋)∑⇟⊟((⋰*⋻1187⪒⋰*⋻2175)⫩⊇)↙((⋰*⋻10A2/⋰*⋻3621)⊉≛↸(⋰*⋻2229⊭↱⋰*⋻2257))⨎((≦∁⋰*⋻5499)∲⫓⋰*⋻4A6A⨟⋌⩍⋰*⋻920)","cot":[{"info":"⋰*⋻1447⨟⋌⩍⋰*⋻93A=NaN","layer":3},{"info":"⋰*⋻2220≣⋋=⋰*⋻0","layer":3},{"info":"NaN⪘⫢⋰*⋻0=NaN","layer":2},{"info":"⋰*⋻1187⪒⋰*⋻2175=⋰*⋻-3351","layer":3},{"info":"⋰*⋻-3351⫩⊇=⋰*⋻338A","layer":2},{"info":"NaN∑⇟⊟⋰*⋻338A=NaN","layer":1},{"info":"⋰*⋻10A2/⋰*⋻3621=⋰*⋻0","layer":3},{"info":"⋰*⋻2229⊭↱⋰*⋻2257=⋰*⋻61","layer":3},{"info":"⋰*⋻0⊉≛↸⋰*⋻61=⋰*⋻0","layer":2},{"info":"≦∁⋰*⋻5499=⋰*⋻5499","layer":3},{"info":"⋰*⋻4A6A⨟⋌⩍⋰*⋻920=NaN","layer":3},{"info":"⋰*⋻5499∲⫓NaN=NaN","layer":2},{"info":"⋰*⋻0⨎NaN=NaN","layer":1},{"info":"NaN↙NaN=NaN","layer":0}]}
{"id":163,"expression_no_base_symbol":"((⫛⫱⨽$3487$)⪛($1924$⨓$5534$)∀⇚≩($7851$⋝⋈⪟$4022$⋓($4110$/$3019$)))∀⇚≩((⊥$5870$)⊴($4613$⫡⨏$5254$)/(⊙↵-$1580$)⨽$1785$⨪↰⇹$1346$)","expression":"((⫛⫱⨽⋰*⋻2690)⪛(⋰*⋻149A⨓⋰*⋻4181)∀⇚≩(⋰*⋻5998⋝⋈⪟⋰*⋻3027⋓(⋰*⋻30A7/⋰*⋻22A5)))∀⇚≩((⊥⋰*⋻4457)⊴(⋰*⋻3514⫡⨏⋰*⋻3A47)/(⊙↵-⋰*⋻1207)⨽⋰*⋻1383⨪↰⇹⋰*⋻1014)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":44777,"operation_count":15,"complexity_ratio":2985.133333333333,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":3487,"base":11}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1924,"base":11},"right_expr":{"type":"numeric_atoms","value":5534,"base":11}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":7851,"base":11},"right_expr":{"type":"numeric_atoms","value":4022,"base":11}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4110,"base":11},"right_expr":{"type":"numeric_atoms","value":3019,"base":11}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":5870,"base":11}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4613,"base":11},"right_expr":{"type":"numeric_atoms","value":5254,"base":11}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1580,"base":11}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1785,"base":11},"right_expr":{"type":"numeric_atoms","value":1346,"base":11}}}}},"used_operators":["LRNGc0VcxI","uFcxV4UQCh","DlLNRPXxWL","3ViojmjbAp","T2fj7uvVaJ","2DDjHMKMc0","XhwjNDsVaA","Nsiff2A1zJ","Q3PJZHRvZv","QMFrweE19q","8HhzD0ZcuI","oWn0xqSxBt","tmPS8pqC7x"],"dependent_operators":["X99M06cbEe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rGHVDoGpnC","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","fu6greOZ01","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3487","layer":4},{"info":"compute unary expreesion, input=3487, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=1924","layer":4},{"info":"number node, value=5534","layer":4},{"info":"compute binary expreesion, left_input=1924, right_input=5534, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5537","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-5537, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=0","layer":2},{"info":"number node, value=7851","layer":4},{"info":"number node, value=4022","layer":4},{"info":"compute binary expreesion, left_input=7851, right_input=4022, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=7851","layer":3},{"info":"number node, value=4110","layer":4},{"info":"number node, value=3019","layer":4},{"info":"compute binary expreesion, left_input=4110, right_input=3019, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=7851, right_input=1, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=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":1},{"info":"number node, value=5870","layer":4},{"info":"compute unary expreesion, input=5870, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=4613","layer":4},{"info":"number node, value=5254","layer":4},{"info":"compute binary expreesion, left_input=4613, right_input=5254, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=34356","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=34356, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=1580","layer":4},{"info":"compute unary expreesion, input=1580, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=1785","layer":4},{"info":"number node, value=1346","layer":4},{"info":"compute binary expreesion, left_input=1785, right_input=1346, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1785","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=1785, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-4044","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-4044, op_id = XhwjNDsVaA binary_op_definition= 'None', 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":11,"result_base":11,"text":"((⫛⫱⨽⋰*⋻2690)⪛(⋰*⋻149A⨓⋰*⋻4181)∀⇚≩(⋰*⋻5998⋝⋈⪟⋰*⋻3027⋓(⋰*⋻30A7/⋰*⋻22A5)))∀⇚≩((⊥⋰*⋻4457)⊴(⋰*⋻3514⫡⨏⋰*⋻3A47)/(⊙↵-⋰*⋻1207)⨽⋰*⋻1383⨪↰⇹⋰*⋻1014)=NaN","reverse_text":"NaN=((⫛⫱⨽⋰*⋻2690)⪛(⋰*⋻149A⨓⋰*⋻4181)∀⇚≩(⋰*⋻5998⋝⋈⪟⋰*⋻3027⋓(⋰*⋻30A7/⋰*⋻22A5)))∀⇚≩((⊥⋰*⋻4457)⊴(⋰*⋻3514⫡⨏⋰*⋻3A47)/(⊙↵-⋰*⋻1207)⨽⋰*⋻1383⨪↰⇹⋰*⋻1014)","cot":[{"info":"⫛⫱⨽⋰*⋻2690=⋰*⋻0","layer":3},{"info":"⋰*⋻149A⨓⋰*⋻4181=⋰*⋻-4184","layer":3},{"info":"⋰*⋻0⪛⋰*⋻-4184=⋰*⋻0","layer":2},{"info":"⋰*⋻5998⋝⋈⪟⋰*⋻3027=⋰*⋻5998","layer":3},{"info":"⋰*⋻30A7/⋰*⋻22A5=⋰*⋻1","layer":3},{"info":"⋰*⋻5998⋓⋰*⋻1=⋰*⋻0","layer":2},{"info":"⋰*⋻0∀⇚≩⋰*⋻0=⋰*⋻0","layer":1},{"info":"⊥⋰*⋻4457=NaN","layer":3},{"info":"⋰*⋻3514⫡⨏⋰*⋻3A47=⋰*⋻238A3","layer":3},{"info":"NaN⊴⋰*⋻238A3=NaN","layer":2},{"info":"⊙↵-⋰*⋻1207=⋰*⋻-1","layer":3},{"info":"⋰*⋻1383⨪↰⇹⋰*⋻1014=⋰*⋻1383","layer":3},{"info":"⋰*⋻-1⨽⋰*⋻1383=⋰*⋻-3047","layer":2},{"info":"NaN/⋰*⋻-3047=NaN","layer":1},{"info":"⋰*⋻0∀⇚≩NaN=NaN","layer":0}]}
{"id":164,"expression_no_base_symbol":"(⊙↵-($4228$∧))⋷(≦∁$2049$+⇶⊼$8298$)↪⪝","expression":"(⊙↵-(⋰*⋻31A4∧))⋷(≦∁⋰*⋻15A3+⇶⊼⋰*⋻6264)↪⪝","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":42,"operation_count":6,"complexity_ratio":7.0,"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":4228,"base":11}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2049,"base":11},"right_expr":{"type":"numeric_atoms","value":8298,"base":11}}}}},"used_operators":["l07mrZUIn9","23Mk6UjR3U","oWn0xqSxBt","z63VuFQld9","9ICcGScMcE","TpPTUOHfaN"],"dependent_operators":["9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=4228","layer":4},{"info":"compute unary expreesion, input=4228, 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 = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":2},{"info":"number node, value=2049","layer":4},{"info":"number node, value=8298","layer":4},{"info":"compute binary expreesion, left_input=2049, right_input=8298, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=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 = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⊙↵-(⋰*⋻31A4∧))⋷(≦∁⋰*⋻15A3+⇶⊼⋰*⋻6264)↪⪝=NaN","reverse_text":"NaN=(⊙↵-(⋰*⋻31A4∧))⋷(≦∁⋰*⋻15A3+⇶⊼⋰*⋻6264)↪⪝","cot":[{"info":"⋰*⋻31A4∧=NaN","layer":3},{"info":"⊙↵-NaN=NaN","layer":2},{"info":"⋰*⋻15A3+⇶⊼⋰*⋻6264=NaN","layer":3},{"info":"≦∁NaN=NaN","layer":2},{"info":"NaN⋷NaN=NaN","layer":1},{"info":"NaN↪⪝=NaN","layer":0}]}
{"id":165,"expression_no_base_symbol":"((↩($9381$⪨≂$1391$))⊭↱($2366$⋳⪒$1836$)≎⊠⪸(↽≂$1108$))⫸⊐(∥⊫($1794$⪄$3208$⪒$5228$⪮%⊝$2565$))","expression":"((↩(⋰*⋻7059⪨≂⋰*⋻1055))⊭↱(⋰*⋻1861⋳⪒⋰*⋻141A)≎⊠⪸(↽≂⋰*⋻918))⫸⊐(∥⊫(⋰*⋻1391⪄⋰*⋻2457⪒⋰*⋻3A23⪮%⊝⋰*⋻1A22))","highest_n_order":2,"priority_hierarchical_complexity":8,"normalized_expansion_degree":183,"operation_count":11,"complexity_ratio":16.636363636363637,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":9381,"base":11},"right_expr":{"type":"numeric_atoms","value":1391,"base":11}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2366,"base":11},"right_expr":{"type":"numeric_atoms","value":1836,"base":11}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1108,"base":11}}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1794,"base":11},"right_expr":{"type":"numeric_atoms","value":3208,"base":11}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":5228,"base":11},"right_expr":{"type":"numeric_atoms","value":2565,"base":11}}}}},"used_operators":["mqXw5SEYmG","COABgblf1C","jLgFTUHLKL","sdazOOVcIp","bJkvcejdHO","12rbrZMWeM","u6S6b8DprG","P8v4zCKN1o","f6k1SAg4EE","SUmda5xLS4","IWmyXbctLI"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⋰*⋻662980","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=9381","layer":4},{"info":"number node, value=1391","layer":4},{"info":"compute binary expreesion, left_input=9381, right_input=1391, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=16082","layer":3},{"info":"compute unary expreesion, input=16082, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-125876","layer":2},{"info":"number node, value=2366","layer":4},{"info":"number node, value=1836","layer":4},{"info":"compute binary expreesion, left_input=2366, right_input=1836, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2609","layer":3},{"info":"number node, value=1108","layer":4},{"info":"compute unary expreesion, input=1108, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2216","layer":3},{"info":"compute binary expreesion, left_input=2609, right_input=-2216, 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=-125876, right_input=67, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=251891","layer":1},{"info":"number node, value=1794","layer":4},{"info":"number node, value=3208","layer":4},{"info":"compute binary expreesion, left_input=1794, right_input=3208, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-274433","layer":3},{"info":"number node, value=5228","layer":4},{"info":"number node, value=2565","layer":4},{"info":"compute binary expreesion, left_input=5228, right_input=2565, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=10772","layer":3},{"info":"compute binary expreesion, left_input=-274433, right_input=10772, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=263661","layer":2},{"info":"compute unary expreesion, input=263661, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=264529","layer":1},{"info":"compute binary expreesion, left_input=251891, right_input=264529, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=1057991","layer":0}],"base":11,"result_base":11,"text":"((↩(⋰*⋻7059⪨≂⋰*⋻1055))⊭↱(⋰*⋻1861⋳⪒⋰*⋻141A)≎⊠⪸(↽≂⋰*⋻918))⫸⊐(∥⊫(⋰*⋻1391⪄⋰*⋻2457⪒⋰*⋻3A23⪮%⊝⋰*⋻1A22))=⋰*⋻662980","reverse_text":"⋰*⋻662980=((↩(⋰*⋻7059⪨≂⋰*⋻1055))⊭↱(⋰*⋻1861⋳⪒⋰*⋻141A)≎⊠⪸(↽≂⋰*⋻918))⫸⊐(∥⊫(⋰*⋻1391⪄⋰*⋻2457⪒⋰*⋻3A23⪮%⊝⋰*⋻1A22))","cot":[{"info":"⋰*⋻7059⪨≂⋰*⋻1055=⋰*⋻110A0","layer":3},{"info":"↩⋰*⋻110A0=⋰*⋻-86633","layer":2},{"info":"⋰*⋻1861⋳⪒⋰*⋻141A=⋰*⋻1A62","layer":3},{"info":"↽≂⋰*⋻918=⋰*⋻-1735","layer":3},{"info":"⋰*⋻1A62≎⊠⪸⋰*⋻-1735=⋰*⋻61","layer":2},{"info":"⋰*⋻-86633⊭↱⋰*⋻61=⋰*⋻162282","layer":1},{"info":"⋰*⋻1391⪄⋰*⋻2457=⋰*⋻-178205","layer":3},{"info":"⋰*⋻3A23⪮%⊝⋰*⋻1A22=⋰*⋻8103","layer":3},{"info":"⋰*⋻-178205⪒⋰*⋻8103=⋰*⋻170102","layer":2},{"info":"∥⊫⋰*⋻170102=⋰*⋻170821","layer":1},{"info":"⋰*⋻162282⫸⊐⋰*⋻170821=⋰*⋻662980","layer":0}]}
{"id":166,"expression_no_base_symbol":"(((-$7101$)⇋≉)⊭↱(⪝⪂⫅$2215$)⋝⋈⪟(⨑⩽⪐$6330$))⋥≓≎((↥(⨑⩽⪐$1368$))*(($2368$⋷$4996$)≣⋋))","expression":"(((-⋰*⋻5376)⇋≉)⊭↱(⪝⪂⫅⋰*⋻1734)⋝⋈⪟(⨑⩽⪐⋰*⋻4835))⋥≓≎((↥(⨑⩽⪐⋰*⋻1034))*((⋰*⋻1863⋷⋰*⋻3832)≣⋋))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":712,"operation_count":12,"complexity_ratio":59.333333333333336,"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":7101,"base":11}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":2215,"base":11}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":6330,"base":11}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1368,"base":11}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2368,"base":11},"right_expr":{"type":"numeric_atoms","value":4996,"base":11}}}}},"used_operators":["Qy55tPpLXF","COABgblf1C","XIabStNQrY","t8gj7n24qd","2DDjHMKMc0","XTarYq4gQB","AF7qkfDlqP","9HNa5Wba9A","A8NUZmVepG","Tcnh7f0tEr","23Mk6UjR3U"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","k8jYdgA6NY","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻61","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7101","layer":4},{"info":"compute unary expreesion, input=7101, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-7101","layer":3},{"info":"compute unary expreesion, input=-7101, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-14300","layer":2},{"info":"number node, value=2215","layer":4},{"info":"compute unary expreesion, input=2215, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-325605","layer":3},{"info":"number node, value=6330","layer":4},{"info":"compute unary expreesion, input=6330, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-6057","layer":3},{"info":"compute binary expreesion, left_input=-325605, right_input=-6057, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-325605","layer":2},{"info":"compute binary expreesion, left_input=-14300, right_input=-325605, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-622605","layer":1},{"info":"number node, value=1368","layer":4},{"info":"compute unary expreesion, input=1368, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1095","layer":3},{"info":"compute unary expreesion, input=-1095, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=27","layer":2},{"info":"number node, value=2368","layer":4},{"info":"number node, value=4996","layer":4},{"info":"compute binary expreesion, left_input=2368, right_input=4996, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=7624","layer":3},{"info":"compute unary expreesion, input=7624, 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=27, right_input=0, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=0","layer":1},{"info":"compute binary expreesion, left_input=-622605, right_input=0, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":11,"result_base":11,"text":"(((-⋰*⋻5376)⇋≉)⊭↱(⪝⪂⫅⋰*⋻1734)⋝⋈⪟(⨑⩽⪐⋰*⋻4835))⋥≓≎((↥(⨑⩽⪐⋰*⋻1034))*((⋰*⋻1863⋷⋰*⋻3832)≣⋋))=⋰*⋻61","reverse_text":"⋰*⋻61=(((-⋰*⋻5376)⇋≉)⊭↱(⪝⪂⫅⋰*⋻1734)⋝⋈⪟(⨑⩽⪐⋰*⋻4835))⋥≓≎((↥(⨑⩽⪐⋰*⋻1034))*((⋰*⋻1863⋷⋰*⋻3832)≣⋋))","cot":[{"info":"-⋰*⋻5376=⋰*⋻-5376","layer":3},{"info":"⋰*⋻-5376⇋≉=⋰*⋻-A820","layer":2},{"info":"⪝⪂⫅⋰*⋻1734=⋰*⋻-2026A5","layer":3},{"info":"⨑⩽⪐⋰*⋻4835=⋰*⋻-4607","layer":3},{"info":"⋰*⋻-2026A5⋝⋈⪟⋰*⋻-4607=⋰*⋻-2026A5","layer":2},{"info":"⋰*⋻-A820⊭↱⋰*⋻-2026A5=⋰*⋻-395855","layer":1},{"info":"⨑⩽⪐⋰*⋻1034=⋰*⋻-906","layer":3},{"info":"↥⋰*⋻-906=⋰*⋻25","layer":2},{"info":"⋰*⋻1863⋷⋰*⋻3832=⋰*⋻5801","layer":3},{"info":"⋰*⋻5801≣⋋=⋰*⋻0","layer":2},{"info":"⋰*⋻25*⋰*⋻0=⋰*⋻0","layer":1},{"info":"⋰*⋻-395855⋥≓≎⋰*⋻0=⋰*⋻61","layer":0}]}
{"id":167,"expression_no_base_symbol":"(∂($3230$↬$3442$≧⫂∧($2280$⩤)))⩤","expression":"(∂(⋰*⋻2477↬⋰*⋻264A≧⫂∧(⋰*⋻1793⩤)))⩤","highest_n_order":5,"priority_hierarchical_complexity":3,"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":3230,"base":11},"right_expr":{"type":"numeric_atoms","value":3442,"base":11}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":2280,"base":11}}}}},"used_operators":["Z2TMIBDE3Q","Uaa54Peajs","Ph9nP6C5qx","B5M0gjZbta"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3230","layer":4},{"info":"number node, value=3442","layer":4},{"info":"compute binary expreesion, left_input=3230, right_input=3442, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=2280","layer":4},{"info":"compute unary expreesion, input=2280, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2280","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2280, 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 = 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 unary expreesion, input=nan, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(∂(⋰*⋻2477↬⋰*⋻264A≧⫂∧(⋰*⋻1793⩤)))⩤=NaN","reverse_text":"NaN=(∂(⋰*⋻2477↬⋰*⋻264A≧⫂∧(⋰*⋻1793⩤)))⩤","cot":[{"info":"⋰*⋻2477↬⋰*⋻264A=NaN","layer":3},{"info":"⋰*⋻1793⩤=⋰*⋻-1793","layer":3},{"info":"NaN≧⫂∧⋰*⋻-1793=NaN","layer":2},{"info":"∂NaN=NaN","layer":1},{"info":"NaN⩤=NaN","layer":0}]}
{"id":168,"expression_no_base_symbol":"(($3418$⪨≂$3899$)⨟⋌⩍($2437$≋⫹)⋷(↩$8877$∀⇚≩$1045$))∲⫓(↣≠⋷$1353$≹⇙⪍$3158$)⨽($1132$∑⇟⊟$2525$⋷$1316$⨪↰⇹$4466$)","expression":"((⋰*⋻2628⪨≂⋰*⋻2A25)⨟⋌⩍(⋰*⋻1916≋⫹)⋷(↩⋰*⋻6740∀⇚≩⋰*⋻870))∲⫓(↣≠⋷⋰*⋻1020≹⇙⪍⋰*⋻2411)⨽(⋰*⋻93A∑⇟⊟⋰*⋻1996⋷⋰*⋻A97⨪↰⇹⋰*⋻33A0)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":63504,"operation_count":13,"complexity_ratio":4884.923076923077,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3418,"base":11},"right_expr":{"type":"numeric_atoms","value":3899,"base":11}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":2437,"base":11}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":8877,"base":11},"right_expr":{"type":"numeric_atoms","value":1045,"base":11}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1353,"base":11},"right_expr":{"type":"numeric_atoms","value":3158,"base":11}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1132,"base":11},"right_expr":{"type":"numeric_atoms","value":2525,"base":11}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1316,"base":11},"right_expr":{"type":"numeric_atoms","value":4466,"base":11}}}}},"used_operators":["i8ToyICDmI","23Mk6UjR3U","rGHVDoGpnC","sdazOOVcIp","N41Kp7NANJ","jLgFTUHLKL","LRNGc0VcxI","8HhzD0ZcuI","Asc51vEJeQ","AHs5Up7iyr","U7g4x0WXJJ","tmPS8pqC7x"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","X99M06cbEe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","XhwjNDsVaA","AHs5Up7iyr","dWAJyo7jo9","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3418","layer":4},{"info":"number node, value=3899","layer":4},{"info":"compute binary expreesion, left_input=3418, right_input=3899, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-860","layer":3},{"info":"number node, value=2437","layer":4},{"info":"compute unary expreesion, input=2437, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-4874","layer":3},{"info":"compute binary expreesion, left_input=-860, right_input=-4874, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=8877","layer":4},{"info":"number node, value=1045","layer":4},{"info":"compute binary expreesion, left_input=8877, right_input=1045, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=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=1353","layer":4},{"info":"number node, value=3158","layer":4},{"info":"compute binary expreesion, left_input=1353, right_input=3158, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=1132","layer":4},{"info":"number node, value=2525","layer":4},{"info":"compute binary expreesion, left_input=1132, right_input=2525, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1316","layer":4},{"info":"number node, value=4466","layer":4},{"info":"compute binary expreesion, left_input=1316, right_input=4466, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1316","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1316, 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 = 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 = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻2628⪨≂⋰*⋻2A25)⨟⋌⩍(⋰*⋻1916≋⫹)⋷(↩⋰*⋻6740∀⇚≩⋰*⋻870))∲⫓(↣≠⋷⋰*⋻1020≹⇙⪍⋰*⋻2411)⨽(⋰*⋻93A∑⇟⊟⋰*⋻1996⋷⋰*⋻A97⨪↰⇹⋰*⋻33A0)=NaN","reverse_text":"NaN=((⋰*⋻2628⪨≂⋰*⋻2A25)⨟⋌⩍(⋰*⋻1916≋⫹)⋷(↩⋰*⋻6740∀⇚≩⋰*⋻870))∲⫓(↣≠⋷⋰*⋻1020≹⇙⪍⋰*⋻2411)⨽(⋰*⋻93A∑⇟⊟⋰*⋻1996⋷⋰*⋻A97⨪↰⇹⋰*⋻33A0)","cot":[{"info":"⋰*⋻2628⪨≂⋰*⋻2A25=⋰*⋻-712","layer":3},{"info":"⋰*⋻1916≋⫹=⋰*⋻-3731","layer":3},{"info":"⋰*⋻-712⨟⋌⩍⋰*⋻-3731=NaN","layer":2},{"info":"⋰*⋻6740∀⇚≩⋰*⋻870=NaN","layer":3},{"info":"↩NaN=NaN","layer":2},{"info":"NaN⋷NaN=NaN","layer":1},{"info":"⋰*⋻1020≹⇙⪍⋰*⋻2411=NaN","layer":3},{"info":"↣≠⋷NaN=NaN","layer":2},{"info":"⋰*⋻93A∑⇟⊟⋰*⋻1996=NaN","layer":3},{"info":"⋰*⋻A97⨪↰⇹⋰*⋻33A0=⋰*⋻A97","layer":3},{"info":"NaN⋷⋰*⋻A97=NaN","layer":2},{"info":"NaN⨽NaN=NaN","layer":1},{"info":"NaN∲⫓NaN=NaN","layer":0}]}
{"id":169,"expression_no_base_symbol":"(($4951$⪨≂$6501$)⋥≓≎($1098$⇼⇔∾$4053$))≧⫂∧($1004$%$3964$)⪘⫢(↯⪼$2234$)⇼⇔∾(($2207$↬$1441$≦≮≮)⊉≛↸($3418$≦≮≮)⋓$6592$∑⇟⊟$5230$)","expression":"((⋰*⋻37A1⪨≂⋰*⋻4980)⋥≓≎(⋰*⋻909⇼⇔∾⋰*⋻3055))≧⫂∧(⋰*⋻833%⋰*⋻2A84)⪘⫢(↯⪼⋰*⋻1751)⇼⇔∾((⋰*⋻1727↬⋰*⋻10A0≦≮≮)⊉≛↸(⋰*⋻2628≦≮≮)⋓⋰*⋻4A53∑⇟⊟⋰*⋻3A25)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":76,"operation_count":14,"complexity_ratio":5.428571428571429,"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":4951,"base":11},"right_expr":{"type":"numeric_atoms","value":6501,"base":11}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1098,"base":11},"right_expr":{"type":"numeric_atoms","value":4053,"base":11}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1004,"base":11},"right_expr":{"type":"numeric_atoms","value":3964,"base":11}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2234,"base":11}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2207,"base":11},"right_expr":{"type":"numeric_atoms","value":1441,"base":11}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":3418,"base":11}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":6592,"base":11},"right_expr":{"type":"numeric_atoms","value":5230,"base":11}}}}},"used_operators":["tifHPKVTfV","Ph9nP6C5qx","Qy55tPpLXF","sdazOOVcIp","oacrs7FA3X","k8jYdgA6NY","8jW3W4yZS5","DZ8iAZOCBD","D4vGDi5EA2","B5M0gjZbta","T2fj7uvVaJ","U7g4x0WXJJ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4951","layer":4},{"info":"number node, value=6501","layer":4},{"info":"compute binary expreesion, left_input=4951, right_input=6501, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-2998","layer":3},{"info":"number node, value=1098","layer":4},{"info":"number node, value=4053","layer":4},{"info":"compute binary expreesion, left_input=1098, right_input=4053, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=2955","layer":3},{"info":"compute binary expreesion, left_input=-2998, right_input=2955, 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=1004","layer":4},{"info":"number node, value=3964","layer":4},{"info":"compute binary expreesion, left_input=1004, right_input=3964, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1004","layer":3},{"info":"number node, value=2234","layer":4},{"info":"compute unary expreesion, input=2234, 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=1004, 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=0","layer":2},{"info":"compute binary expreesion, left_input=67, 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=2207","layer":4},{"info":"number node, value=1441","layer":4},{"info":"compute binary expreesion, left_input=2207, right_input=1441, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":2},{"info":"number node, value=3418","layer":4},{"info":"compute unary expreesion, input=3418, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-10254","layer":3},{"info":"number node, value=6592","layer":4},{"info":"number node, value=5230","layer":4},{"info":"compute binary expreesion, left_input=6592, right_input=5230, 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=-10254, 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 = 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=-473, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻37A1⪨≂⋰*⋻4980)⋥≓≎(⋰*⋻909⇼⇔∾⋰*⋻3055))≧⫂∧(⋰*⋻833%⋰*⋻2A84)⪘⫢(↯⪼⋰*⋻1751)⇼⇔∾((⋰*⋻1727↬⋰*⋻10A0≦≮≮)⊉≛↸(⋰*⋻2628≦≮≮)⋓⋰*⋻4A53∑⇟⊟⋰*⋻3A25)=NaN","reverse_text":"NaN=((⋰*⋻37A1⪨≂⋰*⋻4980)⋥≓≎(⋰*⋻909⇼⇔∾⋰*⋻3055))≧⫂∧(⋰*⋻833%⋰*⋻2A84)⪘⫢(↯⪼⋰*⋻1751)⇼⇔∾((⋰*⋻1727↬⋰*⋻10A0≦≮≮)⊉≛↸(⋰*⋻2628≦≮≮)⋓⋰*⋻4A53∑⇟⊟⋰*⋻3A25)","cot":[{"info":"⋰*⋻37A1⪨≂⋰*⋻4980=⋰*⋻-2286","layer":3},{"info":"⋰*⋻909⇼⇔∾⋰*⋻3055=⋰*⋻2247","layer":3},{"info":"⋰*⋻-2286⋥≓≎⋰*⋻2247=⋰*⋻61","layer":2},{"info":"⋰*⋻833%⋰*⋻2A84=⋰*⋻833","layer":3},{"info":"↯⪼⋰*⋻1751=⋰*⋻-1A","layer":3},{"info":"⋰*⋻833⪘⫢⋰*⋻-1A=⋰*⋻0","layer":2},{"info":"⋰*⋻61≧⫂∧⋰*⋻0=⋰*⋻-3A0","layer":1},{"info":"⋰*⋻1727↬⋰*⋻10A0=NaN","layer":3},{"info":"NaN≦≮≮=NaN","layer":2},{"info":"⋰*⋻2628≦≮≮=⋰*⋻-7782","layer":3},{"info":"⋰*⋻4A53∑⇟⊟⋰*⋻3A25=NaN","layer":3},{"info":"⋰*⋻-7782⋓NaN=NaN","layer":2},{"info":"NaN⊉≛↸NaN=NaN","layer":1},{"info":"⋰*⋻-3A0⇼⇔∾NaN=NaN","layer":0}]}
{"id":170,"expression_no_base_symbol":"↣≠⋷(($2517$≭$1021$⨳⩥⨓$2057$⨐⩸⫘$3189$)⊭∹↮)","expression":"↣≠⋷((⋰*⋻1989≭⋰*⋻849⨳⩥⨓⋰*⋻1600⨐⩸⫘⋰*⋻243A)⊭∹↮)","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":14,"operation_count":5,"complexity_ratio":2.8,"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":2517,"base":11},"right_expr":{"type":"numeric_atoms","value":1021,"base":11}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2057,"base":11},"right_expr":{"type":"numeric_atoms","value":3189,"base":11}}}}},"used_operators":["Asc51vEJeQ","xNBdhnnwKq","nCS4ZIUYfx","rxpJgHHUmx","fu6greOZ01"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=2517","layer":4},{"info":"number node, value=1021","layer":4},{"info":"compute binary expreesion, left_input=2517, right_input=1021, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=2057","layer":4},{"info":"number node, value=3189","layer":4},{"info":"compute binary expreesion, left_input=2057, right_input=3189, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"↣≠⋷((⋰*⋻1989≭⋰*⋻849⨳⩥⨓⋰*⋻1600⨐⩸⫘⋰*⋻243A)⊭∹↮)=NaN","reverse_text":"NaN=↣≠⋷((⋰*⋻1989≭⋰*⋻849⨳⩥⨓⋰*⋻1600⨐⩸⫘⋰*⋻243A)⊭∹↮)","cot":[{"info":"⋰*⋻1989≭⋰*⋻849=NaN","layer":3},{"info":"⋰*⋻1600⨐⩸⫘⋰*⋻243A=NaN","layer":3},{"info":"NaN⨳⩥⨓NaN=NaN","layer":2},{"info":"NaN⊭∹↮=NaN","layer":1},{"info":"↣≠⋷NaN=NaN","layer":0}]}
{"id":171,"expression_no_base_symbol":"∥⊫(($1683$⨳⩥⨓$3669$)⨪↰⇹($1948$%$5024$)↪⪝)","expression":"∥⊫((⋰*⋻12A0⨳⩥⨓⋰*⋻2836)⨪↰⇹(⋰*⋻1511%⋰*⋻3858)↪⪝)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2694,"operation_count":5,"complexity_ratio":538.8,"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":1683,"base":11},"right_expr":{"type":"numeric_atoms","value":3669,"base":11}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1948,"base":11},"right_expr":{"type":"numeric_atoms","value":5024,"base":11}}}}},"used_operators":["P8v4zCKN1o","l07mrZUIn9","tmPS8pqC7x","nCS4ZIUYfx","k8jYdgA6NY"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z"],"result":"⋰*⋻62651AAA","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1683","layer":4},{"info":"number node, value=3669","layer":4},{"info":"compute binary expreesion, left_input=1683, right_input=3669, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1986","layer":3},{"info":"number node, value=1948","layer":4},{"info":"number node, value=5024","layer":4},{"info":"compute binary expreesion, left_input=1948, right_input=5024, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1948","layer":3},{"info":"compute binary expreesion, left_input=1986, right_input=1948, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1986","layer":2},{"info":"compute unary expreesion, input=1986, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=121507452","layer":1},{"info":"compute unary expreesion, input=121507452, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=121508320","layer":0}],"base":11,"result_base":11,"text":"∥⊫((⋰*⋻12A0⨳⩥⨓⋰*⋻2836)⨪↰⇹(⋰*⋻1511%⋰*⋻3858)↪⪝)=⋰*⋻62651AAA","reverse_text":"⋰*⋻62651AAA=∥⊫((⋰*⋻12A0⨳⩥⨓⋰*⋻2836)⨪↰⇹(⋰*⋻1511%⋰*⋻3858)↪⪝)","cot":[{"info":"⋰*⋻12A0⨳⩥⨓⋰*⋻2836=⋰*⋻1546","layer":3},{"info":"⋰*⋻1511%⋰*⋻3858=⋰*⋻1511","layer":3},{"info":"⋰*⋻1546⨪↰⇹⋰*⋻1511=⋰*⋻1546","layer":2},{"info":"⋰*⋻1546↪⪝=⋰*⋻62651390","layer":1},{"info":"∥⊫⋰*⋻62651390=⋰*⋻62651AAA","layer":0}]}
{"id":172,"expression_no_base_symbol":"⨞⊢($5298$⨳⩥⨓$2456$↺($9414$↺$6498$)*(($4151$⊉≛↸$4165$)⫌⩹⨱))","expression":"⨞⊢(⋰*⋻3A87⨳⩥⨓⋰*⋻1933↺(⋰*⋻7089↺⋰*⋻4978)*((⋰*⋻3134⊉≛↸⋰*⋻3147)⫌⩹⨱))","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":6516,"operation_count":7,"complexity_ratio":930.8571428571429,"tree":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5298,"base":11},"right_expr":{"type":"numeric_atoms","value":2456,"base":11}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":9414,"base":11},"right_expr":{"type":"numeric_atoms","value":6498,"base":11}}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4151,"base":11},"right_expr":{"type":"numeric_atoms","value":4165,"base":11}}}}},"used_operators":["xUOZtlo3hN","9HNa5Wba9A","7j4O788W3g","nCS4ZIUYfx","EBcxylXtPf","DZ8iAZOCBD"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻-60050364","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5298","layer":4},{"info":"number node, value=2456","layer":4},{"info":"compute binary expreesion, left_input=5298, right_input=2456, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2842","layer":3},{"info":"number node, value=9414","layer":4},{"info":"number node, value=6498","layer":4},{"info":"compute binary expreesion, left_input=9414, right_input=6498, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=6498","layer":3},{"info":"compute binary expreesion, left_input=-2842, right_input=6498, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=6498","layer":2},{"info":"number node, value=4151","layer":4},{"info":"number node, value=4165","layer":4},{"info":"compute binary expreesion, left_input=4151, right_input=4165, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=8302","layer":3},{"info":"compute unary expreesion, input=8302, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=18005","layer":2},{"info":"compute binary expreesion, left_input=6498, right_input=18005, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=116996490","layer":1},{"info":"compute unary expreesion, input=116996490, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-116996664","layer":0}],"base":11,"result_base":11,"text":"⨞⊢(⋰*⋻3A87⨳⩥⨓⋰*⋻1933↺(⋰*⋻7089↺⋰*⋻4978)*((⋰*⋻3134⊉≛↸⋰*⋻3147)⫌⩹⨱))=⋰*⋻-60050364","reverse_text":"⋰*⋻-60050364=⨞⊢(⋰*⋻3A87⨳⩥⨓⋰*⋻1933↺(⋰*⋻7089↺⋰*⋻4978)*((⋰*⋻3134⊉≛↸⋰*⋻3147)⫌⩹⨱))","cot":[{"info":"⋰*⋻3A87⨳⩥⨓⋰*⋻1933=⋰*⋻-2154","layer":3},{"info":"⋰*⋻7089↺⋰*⋻4978=⋰*⋻4978","layer":3},{"info":"⋰*⋻-2154↺⋰*⋻4978=⋰*⋻4978","layer":2},{"info":"⋰*⋻3134⊉≛↸⋰*⋻3147=⋰*⋻6268","layer":3},{"info":"⋰*⋻6268⫌⩹⨱=⋰*⋻12589","layer":2},{"info":"⋰*⋻4978*⋰*⋻12589=⋰*⋻60050216","layer":1},{"info":"⨞⊢⋰*⋻60050216=⋰*⋻-60050364","layer":0}]}
{"id":173,"expression_no_base_symbol":"⫛⫱⨽((⨵≀≌($1779$⊭∹↮))≎⊠⪸(($1492$⪐)⪒$4527$≧⫂∧$1764$))","expression":"⫛⫱⨽((⨵≀≌(⋰*⋻1378⊭∹↮))≎⊠⪸((⋰*⋻1137⪐)⪒⋰*⋻3446≧⫂∧⋰*⋻1364))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1004,"operation_count":7,"complexity_ratio":143.42857142857142,"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":1779,"base":11}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1492,"base":11}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4527,"base":11},"right_expr":{"type":"numeric_atoms","value":1764,"base":11}}}}},"used_operators":["DlLNRPXxWL","bJkvcejdHO","srAu1WTS94","xNBdhnnwKq","f6k1SAg4EE","eH2TOUuTDT","Ph9nP6C5qx"],"dependent_operators":["rGHVDoGpnC","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1779","layer":4},{"info":"compute unary expreesion, input=1779, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=3558","layer":3},{"info":"compute unary expreesion, input=3558, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-10674","layer":2},{"info":"number node, value=1492","layer":4},{"info":"compute unary expreesion, input=1492, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2984","layer":3},{"info":"number node, value=4527","layer":4},{"info":"number node, value=1764","layer":4},{"info":"compute binary expreesion, left_input=4527, right_input=1764, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1291","layer":3},{"info":"compute binary expreesion, left_input=2984, right_input=1291, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4275","layer":2},{"info":"compute binary expreesion, left_input=-10674, right_input=-4275, 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 = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":0}],"base":11,"result_base":11,"text":"⫛⫱⨽((⨵≀≌(⋰*⋻1378⊭∹↮))≎⊠⪸((⋰*⋻1137⪐)⪒⋰*⋻3446≧⫂∧⋰*⋻1364))=⋰*⋻0","reverse_text":"⋰*⋻0=⫛⫱⨽((⨵≀≌(⋰*⋻1378⊭∹↮))≎⊠⪸((⋰*⋻1137⪐)⪒⋰*⋻3446≧⫂∧⋰*⋻1364))","cot":[{"info":"⋰*⋻1378⊭∹↮=⋰*⋻2745","layer":3},{"info":"⨵≀≌⋰*⋻2745=⋰*⋻-8024","layer":2},{"info":"⋰*⋻1137⪐=⋰*⋻2273","layer":3},{"info":"⋰*⋻3446≧⫂∧⋰*⋻1364=⋰*⋻A74","layer":3},{"info":"⋰*⋻2273⪒⋰*⋻A74=⋰*⋻-3237","layer":2},{"info":"⋰*⋻-8024≎⊠⪸⋰*⋻-3237=⋰*⋻61","layer":1},{"info":"⫛⫱⨽⋰*⋻61=⋰*⋻0","layer":0}]}
{"id":174,"expression_no_base_symbol":"(↯⪼($3375$⨓$1511$⋝⋈⪟($6908$⪄$1621$)))%(∥⊫($7834$⇋≉)⪢$6784$≹⇙⪍$3192$)","expression":"(↯⪼(⋰*⋻2599⨓⋰*⋻1154⋝⋈⪟(⋰*⋻5210⪄⋰*⋻1244)))%(∥⊫(⋰*⋻5982⇋≉)⪢⋰*⋻5108≹⇙⪍⋰*⋻2442)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1637,"operation_count":9,"complexity_ratio":181.88888888888889,"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":3375,"base":11},"right_expr":{"type":"numeric_atoms","value":1511,"base":11}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":6908,"base":11},"right_expr":{"type":"numeric_atoms","value":1621,"base":11}}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":7834,"base":11}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":6784,"base":11},"right_expr":{"type":"numeric_atoms","value":3192,"base":11}}}}},"used_operators":["k8jYdgA6NY","8jW3W4yZS5","2DDjHMKMc0","3ViojmjbAp","SUmda5xLS4","P8v4zCKN1o","dWAJyo7jo9","XIabStNQrY","AHs5Up7iyr"],"dependent_operators":["rysDP5nf3Z","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3375","layer":4},{"info":"number node, value=1511","layer":4},{"info":"compute binary expreesion, left_input=3375, right_input=1511, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1514","layer":3},{"info":"number node, value=6908","layer":4},{"info":"number node, value=1621","layer":4},{"info":"compute binary expreesion, left_input=6908, right_input=1621, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1024957","layer":3},{"info":"compute binary expreesion, left_input=-1514, right_input=-1024957, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-1514","layer":2},{"info":"compute unary expreesion, input=-1514, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=2111","layer":1},{"info":"number node, value=7834","layer":4},{"info":"compute unary expreesion, input=7834, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=15570","layer":3},{"info":"number node, value=6784","layer":4},{"info":"number node, value=3192","layer":4},{"info":"compute binary expreesion, left_input=6784, right_input=3192, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=15570, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2111, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"(↯⪼(⋰*⋻2599⨓⋰*⋻1154⋝⋈⪟(⋰*⋻5210⪄⋰*⋻1244)))%(∥⊫(⋰*⋻5982⇋≉)⪢⋰*⋻5108≹⇙⪍⋰*⋻2442)=NaN","reverse_text":"NaN=(↯⪼(⋰*⋻2599⨓⋰*⋻1154⋝⋈⪟(⋰*⋻5210⪄⋰*⋻1244)))%(∥⊫(⋰*⋻5982⇋≉)⪢⋰*⋻5108≹⇙⪍⋰*⋻2442)","cot":[{"info":"⋰*⋻2599⨓⋰*⋻1154=⋰*⋻-1157","layer":3},{"info":"⋰*⋻5210⪄⋰*⋻1244=⋰*⋻-64007A","layer":3},{"info":"⋰*⋻-1157⋝⋈⪟⋰*⋻-64007A=⋰*⋻-1157","layer":2},{"info":"↯⪼⋰*⋻-1157=⋰*⋻164A","layer":1},{"info":"⋰*⋻5982⇋≉=⋰*⋻10775","layer":3},{"info":"⋰*⋻5108≹⇙⪍⋰*⋻2442=NaN","layer":3},{"info":"⋰*⋻10775⪢NaN=NaN","layer":2},{"info":"∥⊫NaN=NaN","layer":1},{"info":"⋰*⋻164A%NaN=NaN","layer":0}]}
{"id":175,"expression_no_base_symbol":"(↩$1035$)⋥≓≎(≦∁$2122$)⋷(⨵≀≌($1755$⫡⨏$4207$))+$7164$⋓$1865$⋥≓≎($2076$-$2315$)⨸⪁($1096$≹⇙⪍$1802$∲⫓(⨈⫕$2412$))","expression":"(↩⋰*⋻861)⋥≓≎(≦∁⋰*⋻165A)⋷(⨵≀≌(⋰*⋻1356⫡⨏⋰*⋻3185))+⋰*⋻5423⋓⋰*⋻1446⋥≓≎(⋰*⋻1618-⋰*⋻1815)⨸⪁(⋰*⋻907≹⇙⪍⋰*⋻1399∲⫓(⨈⫕⋰*⋻18A3))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":441,"operation_count":14,"complexity_ratio":31.5,"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":1035,"base":11}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2122,"base":11}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1755,"base":11},"right_expr":{"type":"numeric_atoms","value":4207,"base":11}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":7164,"base":11},"right_expr":{"type":"numeric_atoms","value":1865,"base":11}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2076,"base":11},"right_expr":{"type":"numeric_atoms","value":2315,"base":11}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1096,"base":11},"right_expr":{"type":"numeric_atoms","value":1802,"base":11}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2412,"base":11}}}}},"used_operators":["W4YGzv6Whe","23Mk6UjR3U","Qy55tPpLXF","jLgFTUHLKL","9ICcGScMcE","srAu1WTS94","QMFrweE19q","g55IO6H4Gj","T2fj7uvVaJ","rysDP5nf3Z","i8ToyICDmI","AHs5Up7iyr","megm06wKyl"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1035","layer":4},{"info":"compute unary expreesion, input=1035, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-5500","layer":3},{"info":"number node, value=2122","layer":4},{"info":"compute unary expreesion, input=2122, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2122","layer":3},{"info":"compute binary expreesion, left_input=-5500, right_input=2122, 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=1755","layer":4},{"info":"number node, value=4207","layer":4},{"info":"compute binary expreesion, left_input=1755, right_input=4207, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=17972","layer":3},{"info":"compute unary expreesion, input=17972, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-53916","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-53916, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-134","layer":1},{"info":"number node, value=7164","layer":4},{"info":"number node, value=1865","layer":4},{"info":"compute binary expreesion, left_input=7164, right_input=1865, op_id = T2fj7uvVaJ binary_op_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=2076","layer":4},{"info":"number node, value=2315","layer":4},{"info":"compute binary expreesion, left_input=2076, right_input=2315, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-239","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-239, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-445","layer":2},{"info":"number node, value=1096","layer":4},{"info":"number node, value=1802","layer":4},{"info":"compute binary expreesion, left_input=1096, right_input=1802, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=2412","layer":4},{"info":"compute unary expreesion, input=2412, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-21, 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=-445, 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=-134, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"(↩⋰*⋻861)⋥≓≎(≦∁⋰*⋻165A)⋷(⨵≀≌(⋰*⋻1356⫡⨏⋰*⋻3185))+⋰*⋻5423⋓⋰*⋻1446⋥≓≎(⋰*⋻1618-⋰*⋻1815)⨸⪁(⋰*⋻907≹⇙⪍⋰*⋻1399∲⫓(⨈⫕⋰*⋻18A3))=NaN","reverse_text":"NaN=(↩⋰*⋻861)⋥≓≎(≦∁⋰*⋻165A)⋷(⨵≀≌(⋰*⋻1356⫡⨏⋰*⋻3185))+⋰*⋻5423⋓⋰*⋻1446⋥≓≎(⋰*⋻1618-⋰*⋻1815)⨸⪁(⋰*⋻907≹⇙⪍⋰*⋻1399∲⫓(⨈⫕⋰*⋻18A3))","cot":[{"info":"↩⋰*⋻861=⋰*⋻-4150","layer":3},{"info":"≦∁⋰*⋻165A=⋰*⋻165A","layer":3},{"info":"⋰*⋻-4150⋥≓≎⋰*⋻165A=⋰*⋻61","layer":2},{"info":"⋰*⋻1356⫡⨏⋰*⋻3185=⋰*⋻12559","layer":3},{"info":"⨵≀≌⋰*⋻12559=⋰*⋻-37565","layer":2},{"info":"⋰*⋻61⋷⋰*⋻-37565=⋰*⋻-112","layer":1},{"info":"⋰*⋻5423⋓⋰*⋻1446=⋰*⋻0","layer":3},{"info":"⋰*⋻1618-⋰*⋻1815=⋰*⋻-1A8","layer":3},{"info":"⋰*⋻0⋥≓≎⋰*⋻-1A8=⋰*⋻-375","layer":2},{"info":"⋰*⋻907≹⇙⪍⋰*⋻1399=NaN","layer":3},{"info":"⨈⫕⋰*⋻18A3=⋰*⋻-1A","layer":3},{"info":"NaN∲⫓⋰*⋻-1A=NaN","layer":2},{"info":"⋰*⋻-375⨸⪁NaN=NaN","layer":1},{"info":"⋰*⋻-112+NaN=NaN","layer":0}]}
{"id":176,"expression_no_base_symbol":"⨑⩽⪐(($2438$⇷$4260$)≹⇙⪍(↯⪼$3933$)⫸⊐(($4108$∸)⪨≂$5480$⩨$4065$))","expression":"⨑⩽⪐((⋰*⋻1917⇷⋰*⋻3223)≹⇙⪍(↯⪼⋰*⋻2A56)⫸⊐((⋰*⋻30A5∸)⪨≂⋰*⋻4132⩨⋰*⋻3066))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":36630,"operation_count":8,"complexity_ratio":4578.75,"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":2438,"base":11},"right_expr":{"type":"numeric_atoms","value":4260,"base":11}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":3933,"base":11}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":4108,"base":11}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":5480,"base":11},"right_expr":{"type":"numeric_atoms","value":4065,"base":11}}}}},"used_operators":["AF7qkfDlqP","mqXw5SEYmG","AHs5Up7iyr","mp7IySMOzn","8jW3W4yZS5","sdazOOVcIp","o20kRiQErp","2DlMacCsIx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=2438","layer":4},{"info":"number node, value=4260","layer":4},{"info":"compute binary expreesion, left_input=2438, right_input=4260, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=8520","layer":3},{"info":"number node, value=3933","layer":4},{"info":"compute unary expreesion, input=3933, 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=8520, right_input=-21, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=4108","layer":4},{"info":"compute unary expreesion, input=4108, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=5480","layer":4},{"info":"number node, value=4065","layer":4},{"info":"compute binary expreesion, left_input=5480, right_input=4065, 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=177, 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=456","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=456, 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 = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⨑⩽⪐((⋰*⋻1917⇷⋰*⋻3223)≹⇙⪍(↯⪼⋰*⋻2A56)⫸⊐((⋰*⋻30A5∸)⪨≂⋰*⋻4132⩨⋰*⋻3066))=NaN","reverse_text":"NaN=⨑⩽⪐((⋰*⋻1917⇷⋰*⋻3223)≹⇙⪍(↯⪼⋰*⋻2A56)⫸⊐((⋰*⋻30A5∸)⪨≂⋰*⋻4132⩨⋰*⋻3066))","cot":[{"info":"⋰*⋻1917⇷⋰*⋻3223=⋰*⋻6446","layer":3},{"info":"↯⪼⋰*⋻2A56=⋰*⋻-1A","layer":3},{"info":"⋰*⋻6446≹⇙⪍⋰*⋻-1A=NaN","layer":2},{"info":"⋰*⋻30A5∸=⋰*⋻151","layer":3},{"info":"⋰*⋻4132⩨⋰*⋻3066=⋰*⋻0","layer":3},{"info":"⋰*⋻151⪨≂⋰*⋻0=⋰*⋻385","layer":2},{"info":"NaN⫸⊐⋰*⋻385=NaN","layer":1},{"info":"⨑⩽⪐NaN=NaN","layer":0}]}
{"id":177,"expression_no_base_symbol":"((∥⊫($4344$∲⫓$1873$))⨓((⨵≀≌$1003$)⋳⪒$1508$≭$6957$))⊴(($1903$≎⊠⪸$3722$⋥≓≎$1332$⊴$4947$)⋝⋈⪟(($1242$⪒$3377$)↺$5361$∀⇚≩$1457$))","expression":"((∥⊫(⋰*⋻329A∲⫓⋰*⋻1453))⨓((⨵≀≌⋰*⋻832)⋳⪒⋰*⋻1151≭⋰*⋻5255))⊴((⋰*⋻1480≎⊠⪸⋰*⋻2884⋥≓≎⋰*⋻1001⊴⋰*⋻3798)⋝⋈⪟((⋰*⋻A2A⪒⋰*⋻25A0)↺⋰*⋻4034∀⇚≩⋰*⋻1105))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":42793,"operation_count":14,"complexity_ratio":3056.6428571428573,"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":4344,"base":11},"right_expr":{"type":"numeric_atoms","value":1873,"base":11}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1003,"base":11}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1508,"base":11},"right_expr":{"type":"numeric_atoms","value":6957,"base":11}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1903,"base":11},"right_expr":{"type":"numeric_atoms","value":3722,"base":11}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1332,"base":11},"right_expr":{"type":"numeric_atoms","value":4947,"base":11}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1242,"base":11},"right_expr":{"type":"numeric_atoms","value":3377,"base":11}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":5361,"base":11},"right_expr":{"type":"numeric_atoms","value":1457,"base":11}}}}},"used_operators":["Nsiff2A1zJ","3ViojmjbAp","P8v4zCKN1o","i8ToyICDmI","12rbrZMWeM","srAu1WTS94","rxpJgHHUmx","2DDjHMKMc0","Qy55tPpLXF","bJkvcejdHO","7j4O788W3g","f6k1SAg4EE","LRNGc0VcxI"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4344","layer":4},{"info":"number node, value=1873","layer":4},{"info":"compute binary expreesion, left_input=4344, right_input=1873, 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 = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=868","layer":2},{"info":"number node, value=1003","layer":4},{"info":"compute unary expreesion, input=1003, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3009","layer":3},{"info":"number node, value=1508","layer":4},{"info":"number node, value=6957","layer":4},{"info":"compute binary expreesion, left_input=1508, right_input=6957, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=-3009, 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=868, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"number node, value=1903","layer":4},{"info":"number node, value=3722","layer":4},{"info":"compute binary expreesion, left_input=1903, right_input=3722, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=492404","layer":3},{"info":"number node, value=1332","layer":4},{"info":"number node, value=4947","layer":4},{"info":"compute binary expreesion, left_input=1332, right_input=4947, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=492404, 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=1242","layer":4},{"info":"number node, value=3377","layer":4},{"info":"compute binary expreesion, left_input=1242, right_input=3377, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4619","layer":3},{"info":"number node, value=5361","layer":4},{"info":"number node, value=1457","layer":4},{"info":"compute binary expreesion, left_input=5361, right_input=1457, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=-4619, 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 = 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 = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((∥⊫(⋰*⋻329A∲⫓⋰*⋻1453))⨓((⨵≀≌⋰*⋻832)⋳⪒⋰*⋻1151≭⋰*⋻5255))⊴((⋰*⋻1480≎⊠⪸⋰*⋻2884⋥≓≎⋰*⋻1001⊴⋰*⋻3798)⋝⋈⪟((⋰*⋻A2A⪒⋰*⋻25A0)↺⋰*⋻4034∀⇚≩⋰*⋻1105))=NaN","reverse_text":"NaN=((∥⊫(⋰*⋻329A∲⫓⋰*⋻1453))⨓((⨵≀≌⋰*⋻832)⋳⪒⋰*⋻1151≭⋰*⋻5255))⊴((⋰*⋻1480≎⊠⪸⋰*⋻2884⋥≓≎⋰*⋻1001⊴⋰*⋻3798)⋝⋈⪟((⋰*⋻A2A⪒⋰*⋻25A0)↺⋰*⋻4034∀⇚≩⋰*⋻1105))","cot":[{"info":"⋰*⋻329A∲⫓⋰*⋻1453=⋰*⋻0","layer":3},{"info":"∥⊫⋰*⋻0=⋰*⋻71A","layer":2},{"info":"⨵≀≌⋰*⋻832=⋰*⋻-2296","layer":3},{"info":"⋰*⋻1151≭⋰*⋻5255=NaN","layer":3},{"info":"⋰*⋻-2296⋳⪒NaN=NaN","layer":2},{"info":"⋰*⋻71A⨓NaN=NaN","layer":1},{"info":"⋰*⋻1480≎⊠⪸⋰*⋻2884=⋰*⋻306A50","layer":3},{"info":"⋰*⋻1001⊴⋰*⋻3798=NaN","layer":3},{"info":"⋰*⋻306A50⋥≓≎NaN=NaN","layer":2},{"info":"⋰*⋻A2A⪒⋰*⋻25A0=⋰*⋻-351A","layer":3},{"info":"⋰*⋻4034∀⇚≩⋰*⋻1105=NaN","layer":3},{"info":"⋰*⋻-351A↺NaN=NaN","layer":2},{"info":"NaN⋝⋈⪟NaN=NaN","layer":1},{"info":"NaN⊴NaN=NaN","layer":0}]}
{"id":178,"expression_no_base_symbol":"(⪝⪂⫅(↽≂$2108$))⨟⋌⩍($1479$⊴$1499$↪⪝)↺(($1228$≹⇙⪍$3599$⋫)⪠⩆⊳)","expression":"(⪝⪂⫅(↽≂⋰*⋻1647))⨟⋌⩍(⋰*⋻1125⊴⋰*⋻1143↪⪝)↺((⋰*⋻A17≹⇙⪍⋰*⋻2782⋫)⪠⩆⊳)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1674,"operation_count":9,"complexity_ratio":186.0,"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":2108,"base":11}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1479,"base":11},"right_expr":{"type":"numeric_atoms","value":1499,"base":11}}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1228,"base":11},"right_expr":{"type":"numeric_atoms","value":3599,"base":11}}}}},"used_operators":["7j4O788W3g","rGHVDoGpnC","XTarYq4gQB","u6S6b8DprG","l07mrZUIn9","Nsiff2A1zJ","JLbD19bQDL","JL8yIekQnl","AHs5Up7iyr"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2108","layer":4},{"info":"compute unary expreesion, input=2108, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-4216","layer":3},{"info":"compute unary expreesion, input=-4216, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=619752","layer":2},{"info":"number node, value=1479","layer":4},{"info":"number node, value=1499","layer":4},{"info":"compute binary expreesion, left_input=1479, right_input=1499, 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":"compute binary expreesion, left_input=619752, 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=1228","layer":4},{"info":"number node, value=3599","layer":4},{"info":"compute binary expreesion, left_input=1228, right_input=3599, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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 = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', 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 = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⪝⪂⫅(↽≂⋰*⋻1647))⨟⋌⩍(⋰*⋻1125⊴⋰*⋻1143↪⪝)↺((⋰*⋻A17≹⇙⪍⋰*⋻2782⋫)⪠⩆⊳)=NaN","reverse_text":"NaN=(⪝⪂⫅(↽≂⋰*⋻1647))⨟⋌⩍(⋰*⋻1125⊴⋰*⋻1143↪⪝)↺((⋰*⋻A17≹⇙⪍⋰*⋻2782⋫)⪠⩆⊳)","cot":[{"info":"↽≂⋰*⋻1647=⋰*⋻-3193","layer":3},{"info":"⪝⪂⫅⋰*⋻-3193=⋰*⋻3936A1","layer":2},{"info":"⋰*⋻1125⊴⋰*⋻1143=NaN","layer":3},{"info":"NaN↪⪝=NaN","layer":2},{"info":"⋰*⋻3936A1⨟⋌⩍NaN=NaN","layer":1},{"info":"⋰*⋻A17≹⇙⪍⋰*⋻2782=NaN","layer":3},{"info":"NaN⋫=NaN","layer":2},{"info":"NaN⪠⩆⊳=NaN","layer":1},{"info":"NaN↺NaN=NaN","layer":0}]}
{"id":179,"expression_no_base_symbol":"(((⫓⪴$1815$)≋⫹)⨳⩥⨓(≉($2570$⩠)))⋝⋈⪟(($2137$⫡⨏$3302$)⫥∨⫟(⪲⇎$1154$)/(≦∁$1415$⪛$7926$))","expression":"(((⫓⪴⋰*⋻1400)≋⫹)⨳⩥⨓(≉(⋰*⋻1A27⩠)))⋝⋈⪟((⋰*⋻1673⫡⨏⋰*⋻2532)⫥∨⫟(⪲⇎⋰*⋻95A)/(≦∁⋰*⋻1077⪛⋰*⋻5A56))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2013,"operation_count":12,"complexity_ratio":167.75,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1815,"base":11}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":2570,"base":11}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2137,"base":11},"right_expr":{"type":"numeric_atoms","value":3302,"base":11}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1154,"base":11}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1415,"base":11},"right_expr":{"type":"numeric_atoms","value":7926,"base":11}}}}},"used_operators":["2DDjHMKMc0","nCS4ZIUYfx","N41Kp7NANJ","eLxqMNBOBk","e1ybzncUwg","sJAwomhLZr","XhwjNDsVaA","KYD54nUTWz","QMFrweE19q","XPYlsWDdGa","9ICcGScMcE","uFcxV4UQCh"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1815","layer":4},{"info":"compute unary expreesion, input=1815, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=3294225","layer":3},{"info":"compute unary expreesion, input=3294225, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-6588450","layer":2},{"info":"number node, value=2570","layer":4},{"info":"compute unary expreesion, input=2570, 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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=531","layer":2},{"info":"compute binary expreesion, left_input=-6588450, right_input=531, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=6588981","layer":1},{"info":"number node, value=2137","layer":4},{"info":"number node, value=3302","layer":4},{"info":"compute binary expreesion, left_input=2137, right_input=3302, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=18072","layer":3},{"info":"number node, value=1154","layer":4},{"info":"compute unary expreesion, input=1154, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2308","layer":3},{"info":"compute binary expreesion, left_input=18072, right_input=2308, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1415","layer":4},{"info":"number node, value=7926","layer":4},{"info":"compute binary expreesion, left_input=1415, right_input=7926, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1415","layer":3},{"info":"compute unary expreesion, input=1415, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1415","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1415, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=6588981, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((⫓⪴⋰*⋻1400)≋⫹)⨳⩥⨓(≉(⋰*⋻1A27⩠)))⋝⋈⪟((⋰*⋻1673⫡⨏⋰*⋻2532)⫥∨⫟(⪲⇎⋰*⋻95A)/(≦∁⋰*⋻1077⪛⋰*⋻5A56))=NaN","reverse_text":"NaN=(((⫓⪴⋰*⋻1400)≋⫹)⨳⩥⨓(≉(⋰*⋻1A27⩠)))⋝⋈⪟((⋰*⋻1673⫡⨏⋰*⋻2532)⫥∨⫟(⪲⇎⋰*⋻95A)/(≦∁⋰*⋻1077⪛⋰*⋻5A56))","cot":[{"info":"⫓⪴⋰*⋻1400=⋰*⋻1950000","layer":3},{"info":"⋰*⋻1950000≋⫹=⋰*⋻-37A0000","layer":2},{"info":"⋰*⋻1A27⩠=⋰*⋻0","layer":3},{"info":"≉⋰*⋻0=⋰*⋻443","layer":2},{"info":"⋰*⋻-37A0000⨳⩥⨓⋰*⋻443=⋰*⋻37A0443","layer":1},{"info":"⋰*⋻1673⫡⨏⋰*⋻2532=⋰*⋻1263A","layer":3},{"info":"⪲⇎⋰*⋻95A=⋰*⋻1809","layer":3},{"info":"⋰*⋻1263A⫥∨⫟⋰*⋻1809=NaN","layer":2},{"info":"⋰*⋻1077⪛⋰*⋻5A56=⋰*⋻1077","layer":3},{"info":"≦∁⋰*⋻1077=⋰*⋻1077","layer":2},{"info":"NaN/⋰*⋻1077=NaN","layer":1},{"info":"⋰*⋻37A0443⋝⋈⪟NaN=NaN","layer":0}]}
{"id":180,"expression_no_base_symbol":"((↣≠⋷($2714$↛⩡⫤))↪⪝)≹⇙⪍((⨈⫕$8371$)∀⇚≩(↯⪼$1495$)↙($3521$⋝⋈⪟$2684$)⪮%⊝($1012$∑⇟⊟$1306$))","expression":"((↣≠⋷(⋰*⋻2048↛⩡⫤))↪⪝)≹⇙⪍((⨈⫕⋰*⋻6320)∀⇚≩(↯⪼⋰*⋻113A)↙(⋰*⋻2711⋝⋈⪟⋰*⋻2020)⪮%⊝(⋰*⋻840∑⇟⊟⋰*⋻A88))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":8863,"operation_count":11,"complexity_ratio":805.7272727272727,"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":2714,"base":11}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":8371,"base":11}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1495,"base":11}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3521,"base":11},"right_expr":{"type":"numeric_atoms","value":2684,"base":11}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1012,"base":11},"right_expr":{"type":"numeric_atoms","value":1306,"base":11}}}}},"used_operators":["AHs5Up7iyr","l07mrZUIn9","Asc51vEJeQ","FU0Cs4j7VP","yyfyN0ffXY","LRNGc0VcxI","megm06wKyl","8jW3W4yZS5","IWmyXbctLI","2DDjHMKMc0","U7g4x0WXJJ"],"dependent_operators":["dWAJyo7jo9","9HNa5Wba9A","2DDjHMKMc0","XhwjNDsVaA","AHs5Up7iyr","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","tmPS8pqC7x","DpFCA1CohY","X99M06cbEe","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2714","layer":4},{"info":"compute unary expreesion, input=2714, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-405903","layer":3},{"info":"compute unary expreesion, input=-405903, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=nan","layer":1},{"info":"number node, value=8371","layer":4},{"info":"compute unary expreesion, input=8371, 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=1495","layer":4},{"info":"compute unary expreesion, input=1495, 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 = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=-935330259","layer":2},{"info":"number node, value=3521","layer":4},{"info":"number node, value=2684","layer":4},{"info":"compute binary expreesion, left_input=3521, right_input=2684, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3521","layer":3},{"info":"number node, value=1012","layer":4},{"info":"number node, value=1306","layer":4},{"info":"compute binary expreesion, left_input=1012, right_input=1306, 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=3521, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-935330259, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-935330259","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-935330259, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"((↣≠⋷(⋰*⋻2048↛⩡⫤))↪⪝)≹⇙⪍((⨈⫕⋰*⋻6320)∀⇚≩(↯⪼⋰*⋻113A)↙(⋰*⋻2711⋝⋈⪟⋰*⋻2020)⪮%⊝(⋰*⋻840∑⇟⊟⋰*⋻A88))=NaN","reverse_text":"NaN=((↣≠⋷(⋰*⋻2048↛⩡⫤))↪⪝)≹⇙⪍((⨈⫕⋰*⋻6320)∀⇚≩(↯⪼⋰*⋻113A)↙(⋰*⋻2711⋝⋈⪟⋰*⋻2020)⪮%⊝(⋰*⋻840∑⇟⊟⋰*⋻A88))","cot":[{"info":"⋰*⋻2048↛⩡⫤=⋰*⋻-257A63","layer":3},{"info":"↣≠⋷⋰*⋻-257A63=NaN","layer":2},{"info":"NaN↪⪝=NaN","layer":1},{"info":"⨈⫕⋰*⋻6320=⋰*⋻-1A","layer":3},{"info":"↯⪼⋰*⋻113A=⋰*⋻-1A","layer":3},{"info":"⋰*⋻-1A∀⇚≩⋰*⋻-1A=⋰*⋻-43AA73516","layer":2},{"info":"⋰*⋻2711⋝⋈⪟⋰*⋻2020=⋰*⋻2711","layer":3},{"info":"⋰*⋻840∑⇟⊟⋰*⋻A88=NaN","layer":3},{"info":"⋰*⋻2711⪮%⊝NaN=NaN","layer":2},{"info":"⋰*⋻-43AA73516↙NaN=⋰*⋻-43AA73516","layer":1},{"info":"NaN≹⇙⪍⋰*⋻-43AA73516=NaN","layer":0}]}
{"id":181,"expression_no_base_symbol":"(($5483$-$5073$)-$3244$≧⫂∧$2532$)⇷(↔($1644$⩨$1325$))⫥∨⫟(≉($3671$∲⫓$4803$))⪛(↩$3907$⋳⪒$2788$)","expression":"((⋰*⋻4135-⋰*⋻38A2)-⋰*⋻248A≧⫂∧⋰*⋻19A2)⇷(↔(⋰*⋻1265⩨⋰*⋻AA5))⫥∨⫟(≉(⋰*⋻2838∲⫓⋰*⋻3677))⪛(↩⋰*⋻2A32⋳⪒⋰*⋻2105)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":23294,"operation_count":12,"complexity_ratio":1941.1666666666667,"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":5483,"base":11},"right_expr":{"type":"numeric_atoms","value":5073,"base":11}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3244,"base":11},"right_expr":{"type":"numeric_atoms","value":2532,"base":11}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1644,"base":11},"right_expr":{"type":"numeric_atoms","value":1325,"base":11}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3671,"base":11},"right_expr":{"type":"numeric_atoms","value":4803,"base":11}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3907,"base":11},"right_expr":{"type":"numeric_atoms","value":2788,"base":11}}}}},"used_operators":["KYD54nUTWz","mp7IySMOzn","rysDP5nf3Z","Ph9nP6C5qx","ruOEQAzv1W","2DlMacCsIx","uFcxV4UQCh","e1ybzncUwg","i8ToyICDmI","jLgFTUHLKL","12rbrZMWeM"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5483","layer":4},{"info":"number node, value=5073","layer":4},{"info":"compute binary expreesion, left_input=5483, right_input=5073, op_id = rysDP5nf3Z binary_op_definition= 'None', output=410","layer":3},{"info":"number node, value=3244","layer":4},{"info":"number node, value=2532","layer":4},{"info":"compute binary expreesion, left_input=3244, right_input=2532, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2059","layer":3},{"info":"compute binary expreesion, left_input=410, right_input=2059, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1649","layer":2},{"info":"number node, value=1644","layer":4},{"info":"number node, value=1325","layer":4},{"info":"compute binary expreesion, left_input=1644, right_input=1325, 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 = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=789","layer":2},{"info":"compute binary expreesion, left_input=-1649, right_input=789, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=1578","layer":1},{"info":"number node, value=3671","layer":4},{"info":"number node, value=4803","layer":4},{"info":"compute binary expreesion, left_input=3671, right_input=4803, 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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=531","layer":2},{"info":"number node, value=3907","layer":4},{"info":"number node, value=2788","layer":4},{"info":"compute binary expreesion, left_input=3907, right_input=2788, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=4739","layer":3},{"info":"compute unary expreesion, input=4739, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-35132","layer":2},{"info":"compute binary expreesion, left_input=531, right_input=-35132, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-34601","layer":1},{"info":"compute binary expreesion, left_input=1578, right_input=-34601, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻4135-⋰*⋻38A2)-⋰*⋻248A≧⫂∧⋰*⋻19A2)⇷(↔(⋰*⋻1265⩨⋰*⋻AA5))⫥∨⫟(≉(⋰*⋻2838∲⫓⋰*⋻3677))⪛(↩⋰*⋻2A32⋳⪒⋰*⋻2105)=NaN","reverse_text":"NaN=((⋰*⋻4135-⋰*⋻38A2)-⋰*⋻248A≧⫂∧⋰*⋻19A2)⇷(↔(⋰*⋻1265⩨⋰*⋻AA5))⫥∨⫟(≉(⋰*⋻2838∲⫓⋰*⋻3677))⪛(↩⋰*⋻2A32⋳⪒⋰*⋻2105)","cot":[{"info":"⋰*⋻4135-⋰*⋻38A2=⋰*⋻343","layer":3},{"info":"⋰*⋻248A≧⫂∧⋰*⋻19A2=⋰*⋻1602","layer":3},{"info":"⋰*⋻343-⋰*⋻1602=⋰*⋻-126A","layer":2},{"info":"⋰*⋻1265⩨⋰*⋻AA5=⋰*⋻0","layer":3},{"info":"↔⋰*⋻0=⋰*⋻658","layer":2},{"info":"⋰*⋻-126A⇷⋰*⋻658=⋰*⋻1205","layer":1},{"info":"⋰*⋻2838∲⫓⋰*⋻3677=⋰*⋻0","layer":3},{"info":"≉⋰*⋻0=⋰*⋻443","layer":2},{"info":"⋰*⋻2A32⋳⪒⋰*⋻2105=⋰*⋻3619","layer":3},{"info":"↩⋰*⋻3619=⋰*⋻-24439","layer":2},{"info":"⋰*⋻443⪛⋰*⋻-24439=⋰*⋻-23AA6","layer":1},{"info":"⋰*⋻1205⫥∨⫟⋰*⋻-23AA6=NaN","layer":0}]}
{"id":182,"expression_no_base_symbol":"⪲⇎(≉($7842$⨽$4225$⫡⨏$4055$⩷∴$1940$))","expression":"⪲⇎(≉(⋰*⋻598A⨽⋰*⋻31A1⫡⨏⋰*⋻3057⩷∴⋰*⋻1504))","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":7867,"operation_count":5,"complexity_ratio":1573.4,"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":7842,"base":11},"right_expr":{"type":"numeric_atoms","value":4225,"base":11}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4055,"base":11},"right_expr":{"type":"numeric_atoms","value":1940,"base":11}}}}},"used_operators":["XPYlsWDdGa","e1ybzncUwg","QMFrweE19q","8HhzD0ZcuI","9FxExcQeMw"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z"],"result":"⋰*⋻-867502A40","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7842","layer":4},{"info":"number node, value=4225","layer":4},{"info":"compute binary expreesion, left_input=7842, right_input=4225, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-184502253","layer":3},{"info":"number node, value=4055","layer":4},{"info":"number node, value=1940","layer":4},{"info":"compute binary expreesion, left_input=4055, right_input=1940, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=4198","layer":3},{"info":"compute binary expreesion, left_input=-184502253, right_input=4198, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-922502086","layer":2},{"info":"compute unary expreesion, input=-922502086, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-922502086","layer":1},{"info":"compute unary expreesion, input=-922502086, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-1845004172","layer":0}],"base":11,"result_base":11,"text":"⪲⇎(≉(⋰*⋻598A⨽⋰*⋻31A1⫡⨏⋰*⋻3057⩷∴⋰*⋻1504))=⋰*⋻-867502A40","reverse_text":"⋰*⋻-867502A40=⪲⇎(≉(⋰*⋻598A⨽⋰*⋻31A1⫡⨏⋰*⋻3057⩷∴⋰*⋻1504))","cot":[{"info":"⋰*⋻598A⨽⋰*⋻31A1=⋰*⋻-95168301","layer":3},{"info":"⋰*⋻3057⩷∴⋰*⋻1504=⋰*⋻3177","layer":3},{"info":"⋰*⋻-95168301⫡⨏⋰*⋻3177=⋰*⋻-433801520","layer":2},{"info":"≉⋰*⋻-433801520=⋰*⋻-433801520","layer":1},{"info":"⪲⇎⋰*⋻-433801520=⋰*⋻-867502A40","layer":0}]}
{"id":183,"expression_no_base_symbol":"(($5672$⪨≂$1819$)⋥≓≎$2427$⋳⪒$1142$⊠≄⫣)⊘","expression":"((⋰*⋻4297⪨≂⋰*⋻1404)⋥≓≎⋰*⋻1907⋳⪒⋰*⋻949⊠≄⫣)⊘","highest_n_order":2,"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":5672,"base":11},"right_expr":{"type":"numeric_atoms","value":1819,"base":11}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2427,"base":11},"right_expr":{"type":"numeric_atoms","value":1142,"base":11}}}}},"used_operators":["gu96TGCTMs","DIvbN7qnHd","Qy55tPpLXF","sdazOOVcIp","12rbrZMWeM"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=5672","layer":4},{"info":"number node, value=1819","layer":4},{"info":"compute binary expreesion, left_input=5672, right_input=1819, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=7808","layer":3},{"info":"number node, value=2427","layer":4},{"info":"number node, value=1142","layer":4},{"info":"compute binary expreesion, left_input=2427, right_input=1142, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3425","layer":3},{"info":"compute binary expreesion, left_input=7808, right_input=3425, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-925","layer":2},{"info":"compute unary expreesion, input=-925, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻4297⪨≂⋰*⋻1404)⋥≓≎⋰*⋻1907⋳⪒⋰*⋻949⊠≄⫣)⊘=⋰*⋻0","reverse_text":"⋰*⋻0=((⋰*⋻4297⪨≂⋰*⋻1404)⋥≓≎⋰*⋻1907⋳⪒⋰*⋻949⊠≄⫣)⊘","cot":[{"info":"⋰*⋻4297⪨≂⋰*⋻1404=⋰*⋻5959","layer":3},{"info":"⋰*⋻1907⋳⪒⋰*⋻949=⋰*⋻2634","layer":3},{"info":"⋰*⋻5959⋥≓≎⋰*⋻2634=⋰*⋻-771","layer":2},{"info":"⋰*⋻-771⊠≄⫣=⋰*⋻0","layer":1},{"info":"⋰*⋻0⊘=⋰*⋻0","layer":0}]}
{"id":184,"expression_no_base_symbol":"(↣≠⋷(($1348$⋷$1808$)⪢(⇁⨣⪵$6691$)))↙($5994$≭$1301$⩤)⋝⋈⪟(∂($5225$+⇶⊼$1082$))","expression":"(↣≠⋷((⋰*⋻1016⋷⋰*⋻13A4)⪢(⇁⨣⪵⋰*⋻5033)))↙(⋰*⋻455A≭⋰*⋻A83⩤)⋝⋈⪟(∂(⋰*⋻3A20+⇶⊼⋰*⋻8A4))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":16,"operation_count":10,"complexity_ratio":1.6,"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":1348,"base":11},"right_expr":{"type":"numeric_atoms","value":1808,"base":11}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":6691,"base":11}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":5994,"base":11},"right_expr":{"type":"numeric_atoms","value":1301,"base":11}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":5225,"base":11},"right_expr":{"type":"numeric_atoms","value":1082,"base":11}}}}},"used_operators":["yyfyN0ffXY","Asc51vEJeQ","dWAJyo7jo9","23Mk6UjR3U","inkyxCbjAn","2DDjHMKMc0","Z2TMIBDE3Q","rxpJgHHUmx","Uaa54Peajs","TpPTUOHfaN"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","XhwjNDsVaA","AHs5Up7iyr","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=1348","layer":4},{"info":"number node, value=1808","layer":4},{"info":"compute binary expreesion, left_input=1348, right_input=1808, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2268","layer":3},{"info":"number node, value=6691","layer":4},{"info":"compute unary expreesion, input=6691, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2268, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"number node, value=5994","layer":4},{"info":"number node, value=1301","layer":4},{"info":"compute binary expreesion, left_input=5994, right_input=1301, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=nan","layer":2},{"info":"number node, value=5225","layer":4},{"info":"number node, value=1082","layer":4},{"info":"compute binary expreesion, left_input=5225, right_input=1082, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 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 = 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 = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(↣≠⋷((⋰*⋻1016⋷⋰*⋻13A4)⪢(⇁⨣⪵⋰*⋻5033)))↙(⋰*⋻455A≭⋰*⋻A83⩤)⋝⋈⪟(∂(⋰*⋻3A20+⇶⊼⋰*⋻8A4))=NaN","reverse_text":"NaN=(↣≠⋷((⋰*⋻1016⋷⋰*⋻13A4)⪢(⇁⨣⪵⋰*⋻5033)))↙(⋰*⋻455A≭⋰*⋻A83⩤)⋝⋈⪟(∂(⋰*⋻3A20+⇶⊼⋰*⋻8A4))","cot":[{"info":"⋰*⋻1016⋷⋰*⋻13A4=⋰*⋻1782","layer":3},{"info":"⇁⨣⪵⋰*⋻5033=NaN","layer":3},{"info":"⋰*⋻1782⪢NaN=NaN","layer":2},{"info":"↣≠⋷NaN=NaN","layer":1},{"info":"⋰*⋻455A≭⋰*⋻A83=NaN","layer":3},{"info":"NaN⩤=NaN","layer":2},{"info":"⋰*⋻3A20+⇶⊼⋰*⋻8A4=NaN","layer":3},{"info":"∂NaN=NaN","layer":2},{"info":"NaN⋝⋈⪟NaN=NaN","layer":1},{"info":"NaN↙NaN=NaN","layer":0}]}
{"id":185,"expression_no_base_symbol":"((($2205$⋝⋈⪟$5953$)∸)⨐⩸⫘($2537$⨽$1336$)+⇶⊼($1293$-$1978$))⋥≓≎(⊥(($2588$-$3489$)⪄(↔$1565$)))","expression":"(((⋰*⋻1725⋝⋈⪟⋰*⋻4522)∸)⨐⩸⫘(⋰*⋻19A7⨽⋰*⋻1005)+⇶⊼(⋰*⋻A76-⋰*⋻1539))⋥≓≎(⊥((⋰*⋻1A43-⋰*⋻2692)⪄(↔⋰*⋻11A3)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2832,"operation_count":11,"complexity_ratio":257.45454545454544,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2205,"base":11},"right_expr":{"type":"numeric_atoms","value":5953,"base":11}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2537,"base":11},"right_expr":{"type":"numeric_atoms","value":1336,"base":11}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1293,"base":11},"right_expr":{"type":"numeric_atoms","value":1978,"base":11}}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2588,"base":11},"right_expr":{"type":"numeric_atoms","value":3489,"base":11}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1565,"base":11}}}}},"used_operators":["Qy55tPpLXF","fu6greOZ01","o20kRiQErp","2DDjHMKMc0","TpPTUOHfaN","8HhzD0ZcuI","rysDP5nf3Z","Q3PJZHRvZv","SUmda5xLS4","ruOEQAzv1W"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","fu6greOZ01","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"⋰*⋻61","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2205","layer":4},{"info":"number node, value=5953","layer":4},{"info":"compute binary expreesion, left_input=2205, right_input=5953, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2205","layer":3},{"info":"compute unary expreesion, input=2205, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"number node, value=2537","layer":4},{"info":"number node, value=1336","layer":4},{"info":"compute binary expreesion, left_input=2537, right_input=1336, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-19311801","layer":3},{"info":"number node, value=1293","layer":4},{"info":"number node, value=1978","layer":4},{"info":"compute binary expreesion, left_input=1293, right_input=1978, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-685","layer":3},{"info":"compute binary expreesion, left_input=-19311801, right_input=-685, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=177, 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=2588","layer":4},{"info":"number node, value=3489","layer":4},{"info":"compute binary expreesion, left_input=2588, right_input=3489, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-901","layer":3},{"info":"number node, value=1565","layer":4},{"info":"compute unary expreesion, input=1565, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1292","layer":3},{"info":"compute binary expreesion, left_input=-901, right_input=-1292, 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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻1725⋝⋈⪟⋰*⋻4522)∸)⨐⩸⫘(⋰*⋻19A7⨽⋰*⋻1005)+⇶⊼(⋰*⋻A76-⋰*⋻1539))⋥≓≎(⊥((⋰*⋻1A43-⋰*⋻2692)⪄(↔⋰*⋻11A3)))=⋰*⋻61","reverse_text":"⋰*⋻61=(((⋰*⋻1725⋝⋈⪟⋰*⋻4522)∸)⨐⩸⫘(⋰*⋻19A7⨽⋰*⋻1005)+⇶⊼(⋰*⋻A76-⋰*⋻1539))⋥≓≎(⊥((⋰*⋻1A43-⋰*⋻2692)⪄(↔⋰*⋻11A3)))","cot":[{"info":"⋰*⋻1725⋝⋈⪟⋰*⋻4522=⋰*⋻1725","layer":3},{"info":"⋰*⋻1725∸=⋰*⋻151","layer":2},{"info":"⋰*⋻19A7⨽⋰*⋻1005=⋰*⋻-A9A0273","layer":3},{"info":"⋰*⋻A76-⋰*⋻1539=⋰*⋻-573","layer":3},{"info":"⋰*⋻-A9A0273+⇶⊼⋰*⋻-573=NaN","layer":2},{"info":"⋰*⋻151⨐⩸⫘NaN=NaN","layer":1},{"info":"⋰*⋻1A43-⋰*⋻2692=⋰*⋻-74A","layer":3},{"info":"↔⋰*⋻11A3=⋰*⋻-A75","layer":3},{"info":"⋰*⋻-74A⪄⋰*⋻-A75=⋰*⋻2A98","layer":2},{"info":"⊥⋰*⋻2A98=NaN","layer":1},{"info":"NaN⋥≓≎NaN=⋰*⋻61","layer":0}]}
{"id":186,"expression_no_base_symbol":"($1007$↺$1181$)≹⇙⪍($3110$↺$5293$)⨓((↣≠⋷$7068$)⨐⩸⫘$1044$≹⇙⪍$2093$)*(⫓⪴(($5216$⨵⪆$2036$)⨽$1193$⩷∴$3341$))","expression":"(⋰*⋻836↺⋰*⋻984)≹⇙⪍(⋰*⋻2378↺⋰*⋻3A82)⨓((↣≠⋷⋰*⋻5346)⨐⩸⫘⋰*⋻86A≹⇙⪍⋰*⋻1633)*(⫓⪴((⋰*⋻3A12⨵⪆⋰*⋻1591)⨽⋰*⋻995⩷∴⋰*⋻2568))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":62696,"operation_count":12,"complexity_ratio":5224.666666666667,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1007,"base":11},"right_expr":{"type":"numeric_atoms","value":1181,"base":11}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3110,"base":11},"right_expr":{"type":"numeric_atoms","value":5293,"base":11}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":7068,"base":11}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1044,"base":11},"right_expr":{"type":"numeric_atoms","value":2093,"base":11}}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":5216,"base":11},"right_expr":{"type":"numeric_atoms","value":2036,"base":11}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1193,"base":11},"right_expr":{"type":"numeric_atoms","value":3341,"base":11}}}}},"used_operators":["9HNa5Wba9A","3ViojmjbAp","AHs5Up7iyr","7j4O788W3g","fu6greOZ01","Asc51vEJeQ","eLxqMNBOBk","8HhzD0ZcuI","2DQ55sFlQl","9FxExcQeMw"],"dependent_operators":["W4YGzv6Whe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","XhwjNDsVaA","AHs5Up7iyr","9HNa5Wba9A","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1007","layer":4},{"info":"number node, value=1181","layer":4},{"info":"compute binary expreesion, left_input=1007, right_input=1181, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1181","layer":3},{"info":"number node, value=3110","layer":4},{"info":"number node, value=5293","layer":4},{"info":"compute binary expreesion, left_input=3110, right_input=5293, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5293","layer":3},{"info":"compute binary expreesion, left_input=1181, right_input=5293, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=7068","layer":4},{"info":"compute unary expreesion, input=7068, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=1044","layer":4},{"info":"number node, value=2093","layer":4},{"info":"compute binary expreesion, left_input=1044, right_input=2093, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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 = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"number node, value=5216","layer":4},{"info":"number node, value=2036","layer":4},{"info":"compute binary expreesion, left_input=5216, right_input=2036, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1193","layer":4},{"info":"number node, value=3341","layer":4},{"info":"compute binary expreesion, left_input=1193, right_input=3341, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-4328","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-4328, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-62502","layer":2},{"info":"compute unary expreesion, input=-62502, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=inf","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=inf, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻836↺⋰*⋻984)≹⇙⪍(⋰*⋻2378↺⋰*⋻3A82)⨓((↣≠⋷⋰*⋻5346)⨐⩸⫘⋰*⋻86A≹⇙⪍⋰*⋻1633)*(⫓⪴((⋰*⋻3A12⨵⪆⋰*⋻1591)⨽⋰*⋻995⩷∴⋰*⋻2568))=NaN","reverse_text":"NaN=(⋰*⋻836↺⋰*⋻984)≹⇙⪍(⋰*⋻2378↺⋰*⋻3A82)⨓((↣≠⋷⋰*⋻5346)⨐⩸⫘⋰*⋻86A≹⇙⪍⋰*⋻1633)*(⫓⪴((⋰*⋻3A12⨵⪆⋰*⋻1591)⨽⋰*⋻995⩷∴⋰*⋻2568))","cot":[{"info":"⋰*⋻836↺⋰*⋻984=⋰*⋻984","layer":3},{"info":"⋰*⋻2378↺⋰*⋻3A82=⋰*⋻3A82","layer":3},{"info":"⋰*⋻984≹⇙⪍⋰*⋻3A82=NaN","layer":2},{"info":"↣≠⋷⋰*⋻5346=NaN","layer":3},{"info":"⋰*⋻86A≹⇙⪍⋰*⋻1633=NaN","layer":3},{"info":"NaN⨐⩸⫘NaN=NaN","layer":2},{"info":"NaN⨓NaN=NaN","layer":1},{"info":"⋰*⋻3A12⨵⪆⋰*⋻1591=⋰*⋻136","layer":3},{"info":"⋰*⋻995⩷∴⋰*⋻2568=⋰*⋻-3285","layer":3},{"info":"⋰*⋻136⨽⋰*⋻-3285=⋰*⋻-42A60","layer":2},{"info":"⫓⪴⋰*⋻-42A60=Inf","layer":1},{"info":"NaN*Inf=NaN","layer":0}]}
{"id":187,"expression_no_base_symbol":"((+⊝⨔(⊙↵-$2303$))≎⊠⪸(≉$4106$)↬($1034$≭$2193$))⋝⋈⪟($2393$⊉≛↸$1299$⩨(⊥$6581$)⨸⪁(↣≠⋷$3548$)⨐⩸⫘(⫛⫱⨽$1468$))","expression":"((+⊝⨔(⊙↵-⋰*⋻1804))≎⊠⪸(≉⋰*⋻30A3)↬(⋰*⋻860≭⋰*⋻1714))⋝⋈⪟(⋰*⋻1886⊉≛↸⋰*⋻A81⩨(⊥⋰*⋻4A43)⨸⪁(↣≠⋷⋰*⋻2736)⨐⩸⫘(⫛⫱⨽⋰*⋻1115))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3823,"operation_count":14,"complexity_ratio":273.07142857142856,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2303,"base":11}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":4106,"base":11}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1034,"base":11},"right_expr":{"type":"numeric_atoms","value":2193,"base":11}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2393,"base":11},"right_expr":{"type":"numeric_atoms","value":1299,"base":11}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":6581,"base":11}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":3548,"base":11}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1468,"base":11}}}}},"used_operators":["2DDjHMKMc0","bJkvcejdHO","DhbWaqg5eL","oWn0xqSxBt","B5M0gjZbta","e1ybzncUwg","rxpJgHHUmx","g55IO6H4Gj","2DlMacCsIx","DZ8iAZOCBD","Q3PJZHRvZv","fu6greOZ01","Asc51vEJeQ","DlLNRPXxWL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","3ViojmjbAp","XhwjNDsVaA","AHs5Up7iyr","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2303","layer":4},{"info":"compute unary expreesion, input=2303, 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 = 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=4106","layer":4},{"info":"compute unary expreesion, input=4106, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=4637","layer":3},{"info":"number node, value=1034","layer":4},{"info":"number node, value=2193","layer":4},{"info":"compute binary expreesion, left_input=1034, right_input=2193, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=4637, 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=1522, 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=2393","layer":4},{"info":"number node, value=1299","layer":4},{"info":"compute binary expreesion, left_input=2393, right_input=1299, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4786","layer":3},{"info":"number node, value=6581","layer":4},{"info":"compute unary expreesion, input=6581, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4786, 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=3548","layer":4},{"info":"compute unary expreesion, input=3548, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=1468","layer":4},{"info":"compute unary expreesion, input=1468, 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 = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((+⊝⨔(⊙↵-⋰*⋻1804))≎⊠⪸(≉⋰*⋻30A3)↬(⋰*⋻860≭⋰*⋻1714))⋝⋈⪟(⋰*⋻1886⊉≛↸⋰*⋻A81⩨(⊥⋰*⋻4A43)⨸⪁(↣≠⋷⋰*⋻2736)⨐⩸⫘(⫛⫱⨽⋰*⋻1115))=NaN","reverse_text":"NaN=((+⊝⨔(⊙↵-⋰*⋻1804))≎⊠⪸(≉⋰*⋻30A3)↬(⋰*⋻860≭⋰*⋻1714))⋝⋈⪟(⋰*⋻1886⊉≛↸⋰*⋻A81⩨(⊥⋰*⋻4A43)⨸⪁(↣≠⋷⋰*⋻2736)⨐⩸⫘(⫛⫱⨽⋰*⋻1115))","cot":[{"info":"⊙↵-⋰*⋻1804=⋰*⋻-1","layer":3},{"info":"+⊝⨔⋰*⋻-1=⋰*⋻1164","layer":2},{"info":"≉⋰*⋻30A3=⋰*⋻3536","layer":3},{"info":"⋰*⋻860≭⋰*⋻1714=NaN","layer":3},{"info":"⋰*⋻3536↬NaN=NaN","layer":2},{"info":"⋰*⋻1164≎⊠⪸NaN=⋰*⋻61","layer":1},{"info":"⋰*⋻1886⊉≛↸⋰*⋻A81=⋰*⋻3661","layer":3},{"info":"⊥⋰*⋻4A43=NaN","layer":3},{"info":"⋰*⋻3661⩨NaN=NaN","layer":2},{"info":"↣≠⋷⋰*⋻2736=NaN","layer":3},{"info":"⫛⫱⨽⋰*⋻1115=⋰*⋻0","layer":3},{"info":"NaN⨐⩸⫘⋰*⋻0=NaN","layer":2},{"info":"NaN⨸⪁NaN=NaN","layer":1},{"info":"⋰*⋻61⋝⋈⪟NaN=NaN","layer":0}]}
{"id":188,"expression_no_base_symbol":"(⫓⪴(⊥$6883$))⫥∨⫟(-($1134$≋⫹))⋥≓≎(($1491$-$3204$)*($1367$⊪))⨎(+⊝⨔$4545$)∼(⪝⪂⫅$1058$)","expression":"(⫓⪴(⊥⋰*⋻5198))⫥∨⫟(-(⋰*⋻941≋⫹))⋥≓≎((⋰*⋻1136-⋰*⋻2453)*(⋰*⋻1033⊪))⨎(+⊝⨔⋰*⋻3462)∼(⪝⪂⫅⋰*⋻882)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":419,"operation_count":13,"complexity_ratio":32.23076923076923,"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":6883,"base":11}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1134,"base":11}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1491,"base":11},"right_expr":{"type":"numeric_atoms","value":3204,"base":11}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":1367,"base":11}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":4545,"base":11}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1058,"base":11}}}}},"used_operators":["Qy55tPpLXF","KYD54nUTWz","eLxqMNBOBk","Q3PJZHRvZv","t8gj7n24qd","N41Kp7NANJ","rJVOvQCfKK","9HNa5Wba9A","rysDP5nf3Z","zVYPLywUTj","DyGG3AbaNP","DhbWaqg5eL","XTarYq4gQB"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","9HNa5Wba9A","fu6greOZ01","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","9HNa5Wba9A","8w2t5hMYqp"],"result":"⋰*⋻61","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6883","layer":4},{"info":"compute unary expreesion, input=6883, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":2},{"info":"number node, value=1134","layer":4},{"info":"compute unary expreesion, input=1134, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2268","layer":3},{"info":"compute unary expreesion, input=-2268, op_id = t8gj7n24qd, unary_op_definition = 'None', output=2268","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2268, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1491","layer":4},{"info":"number node, value=3204","layer":4},{"info":"compute binary expreesion, left_input=1491, right_input=3204, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1713","layer":3},{"info":"number node, value=1367","layer":4},{"info":"compute unary expreesion, input=1367, 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=-1713, right_input=0, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=4545","layer":4},{"info":"compute unary expreesion, input=4545, 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=1058","layer":4},{"info":"compute unary expreesion, input=1058, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-155526","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=-155526, 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 = 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 = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":11,"result_base":11,"text":"(⫓⪴(⊥⋰*⋻5198))⫥∨⫟(-(⋰*⋻941≋⫹))⋥≓≎((⋰*⋻1136-⋰*⋻2453)*(⋰*⋻1033⊪))⨎(+⊝⨔⋰*⋻3462)∼(⪝⪂⫅⋰*⋻882)=⋰*⋻61","reverse_text":"⋰*⋻61=(⫓⪴(⊥⋰*⋻5198))⫥∨⫟(-(⋰*⋻941≋⫹))⋥≓≎((⋰*⋻1136-⋰*⋻2453)*(⋰*⋻1033⊪))⨎(+⊝⨔⋰*⋻3462)∼(⪝⪂⫅⋰*⋻882)","cot":[{"info":"⊥⋰*⋻5198=NaN","layer":3},{"info":"⫓⪴NaN=NaN","layer":2},{"info":"⋰*⋻941≋⫹=⋰*⋻-1782","layer":3},{"info":"-⋰*⋻-1782=⋰*⋻1782","layer":2},{"info":"NaN⫥∨⫟⋰*⋻1782=NaN","layer":1},{"info":"⋰*⋻1136-⋰*⋻2453=⋰*⋻-1318","layer":3},{"info":"⋰*⋻1033⊪=⋰*⋻0","layer":3},{"info":"⋰*⋻-1318*⋰*⋻0=⋰*⋻0","layer":2},{"info":"+⊝⨔⋰*⋻3462=⋰*⋻1164","layer":3},{"info":"⪝⪂⫅⋰*⋻882=⋰*⋻-A6938","layer":3},{"info":"⋰*⋻1164∼⋰*⋻-A6938=NaN","layer":2},{"info":"⋰*⋻0⨎NaN=NaN","layer":1},{"info":"NaN⋥≓≎NaN=⋰*⋻61","layer":0}]}
{"id":189,"expression_no_base_symbol":"≤/((($2481$⋫)*($9628$⩨$1709$))∧)","expression":"≤/(((⋰*⋻1956⋫)*(⋰*⋻7263⩨⋰*⋻1314))∧)","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":2492,"operation_count":5,"complexity_ratio":498.4,"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":2481,"base":11}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":9628,"base":11},"right_expr":{"type":"numeric_atoms","value":1709,"base":11}}}}},"used_operators":["eLAdDNolq6","z63VuFQld9","9HNa5Wba9A","JL8yIekQnl","2DlMacCsIx"],"dependent_operators":["rysDP5nf3Z","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","tmPS8pqC7x","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⋰*⋻400","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2481","layer":4},{"info":"compute unary expreesion, input=2481, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=2481","layer":3},{"info":"number node, value=9628","layer":4},{"info":"number node, value=1709","layer":4},{"info":"compute binary expreesion, left_input=9628, right_input=1709, 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=2481, right_input=0, 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 unary expreesion, input=0, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=484","layer":0}],"base":11,"result_base":11,"text":"≤/(((⋰*⋻1956⋫)*(⋰*⋻7263⩨⋰*⋻1314))∧)=⋰*⋻400","reverse_text":"⋰*⋻400=≤/(((⋰*⋻1956⋫)*(⋰*⋻7263⩨⋰*⋻1314))∧)","cot":[{"info":"⋰*⋻1956⋫=⋰*⋻1956","layer":3},{"info":"⋰*⋻7263⩨⋰*⋻1314=⋰*⋻0","layer":3},{"info":"⋰*⋻1956*⋰*⋻0=⋰*⋻0","layer":2},{"info":"⋰*⋻0∧=⋰*⋻0","layer":1},{"info":"≤/⋰*⋻0=⋰*⋻400","layer":0}]}
{"id":190,"expression_no_base_symbol":"($1079$⊭↱$1621$)↺($7459$⨁⊸⫻)∲⫓($1059$⫌⩹⨱)↬($1404$⊉≛↸$3531$)⫡⨏(↽≂$1328$↬$3751$⋳⪒($1044$⨵⪆$1021$))","expression":"(⋰*⋻8A1⊭↱⋰*⋻1244)↺(⋰*⋻5671⨁⊸⫻)∲⫓(⋰*⋻883⫌⩹⨱)↬(⋰*⋻1067⊉≛↸⋰*⋻2720)⫡⨏(↽≂⋰*⋻AA8↬⋰*⋻2900⋳⪒(⋰*⋻86A⨵⪆⋰*⋻849))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":40,"operation_count":12,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1079,"base":11},"right_expr":{"type":"numeric_atoms","value":1621,"base":11}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":7459,"base":11}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1059,"base":11}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1404,"base":11},"right_expr":{"type":"numeric_atoms","value":3531,"base":11}}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1328,"base":11},"right_expr":{"type":"numeric_atoms","value":3751,"base":11}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1044,"base":11},"right_expr":{"type":"numeric_atoms","value":1021,"base":11}}}}},"used_operators":["QMFrweE19q","i8ToyICDmI","7j4O788W3g","COABgblf1C","glklzrTFfD","B5M0gjZbta","EBcxylXtPf","DZ8iAZOCBD","u6S6b8DprG","12rbrZMWeM","2DQ55sFlQl"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1079","layer":4},{"info":"number node, value=1621","layer":4},{"info":"compute binary expreesion, left_input=1079, right_input=1621, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=1089","layer":3},{"info":"number node, value=7459","layer":4},{"info":"compute unary expreesion, input=7459, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=7459","layer":3},{"info":"compute binary expreesion, left_input=1089, right_input=7459, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=7459","layer":2},{"info":"number node, value=1059","layer":4},{"info":"compute unary expreesion, input=1059, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=3519","layer":3},{"info":"number node, value=1404","layer":4},{"info":"number node, value=3531","layer":4},{"info":"compute binary expreesion, left_input=1404, right_input=3531, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2808","layer":3},{"info":"compute binary expreesion, left_input=3519, right_input=2808, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=7459, 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=1328","layer":4},{"info":"number node, value=3751","layer":4},{"info":"compute binary expreesion, left_input=1328, right_input=3751, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1044","layer":4},{"info":"number node, value=1021","layer":4},{"info":"compute binary expreesion, left_input=1044, right_input=1021, 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 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 = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻8A1⊭↱⋰*⋻1244)↺(⋰*⋻5671⨁⊸⫻)∲⫓(⋰*⋻883⫌⩹⨱)↬(⋰*⋻1067⊉≛↸⋰*⋻2720)⫡⨏(↽≂⋰*⋻AA8↬⋰*⋻2900⋳⪒(⋰*⋻86A⨵⪆⋰*⋻849))=NaN","reverse_text":"NaN=(⋰*⋻8A1⊭↱⋰*⋻1244)↺(⋰*⋻5671⨁⊸⫻)∲⫓(⋰*⋻883⫌⩹⨱)↬(⋰*⋻1067⊉≛↸⋰*⋻2720)⫡⨏(↽≂⋰*⋻AA8↬⋰*⋻2900⋳⪒(⋰*⋻86A⨵⪆⋰*⋻849))","cot":[{"info":"⋰*⋻8A1⊭↱⋰*⋻1244=⋰*⋻900","layer":3},{"info":"⋰*⋻5671⨁⊸⫻=⋰*⋻5671","layer":3},{"info":"⋰*⋻900↺⋰*⋻5671=⋰*⋻5671","layer":2},{"info":"⋰*⋻883⫌⩹⨱=⋰*⋻270A","layer":3},{"info":"⋰*⋻1067⊉≛↸⋰*⋻2720=⋰*⋻2123","layer":3},{"info":"⋰*⋻270A↬⋰*⋻2123=NaN","layer":2},{"info":"⋰*⋻5671∲⫓NaN=NaN","layer":1},{"info":"⋰*⋻AA8↬⋰*⋻2900=NaN","layer":3},{"info":"⋰*⋻86A⨵⪆⋰*⋻849=⋰*⋻136","layer":3},{"info":"NaN⋳⪒⋰*⋻136=NaN","layer":2},{"info":"↽≂NaN=NaN","layer":1},{"info":"NaN⫡⨏NaN=NaN","layer":0}]}
{"id":191,"expression_no_base_symbol":"⪲⇎((⩦⩻⨪($5380$⊭↱$1221$))⫡⨏$1150$⫥∨⫟$7306$⪄($2635$%$1441$))","expression":"⪲⇎((⩦⩻⨪(⋰*⋻4051⊭↱⋰*⋻A10))⫡⨏⋰*⋻956⫥∨⫟⋰*⋻5542⪄(⋰*⋻1A86%⋰*⋻10A0))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":195,"operation_count":7,"complexity_ratio":27.857142857142858,"tree":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":5380,"base":11},"right_expr":{"type":"numeric_atoms","value":1221,"base":11}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1150,"base":11},"right_expr":{"type":"numeric_atoms","value":7306,"base":11}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2635,"base":11},"right_expr":{"type":"numeric_atoms","value":1441,"base":11}}}}},"used_operators":["XPYlsWDdGa","QMFrweE19q","2td37pGCOC","COABgblf1C","SUmda5xLS4","KYD54nUTWz","k8jYdgA6NY"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z"],"result":"⋰*⋻-45360","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5380","layer":4},{"info":"number node, value=1221","layer":4},{"info":"compute binary expreesion, left_input=5380, right_input=1221, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-8313","layer":3},{"info":"compute unary expreesion, input=-8313, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-8313","layer":2},{"info":"number node, value=1150","layer":4},{"info":"number node, value=7306","layer":4},{"info":"compute binary expreesion, left_input=1150, right_input=7306, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=2635","layer":4},{"info":"number node, value=1441","layer":4},{"info":"compute binary expreesion, left_input=2635, right_input=1441, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1194","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1194, 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=-8313, right_input=3979, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-32824","layer":1},{"info":"compute unary expreesion, input=-32824, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-65648","layer":0}],"base":11,"result_base":11,"text":"⪲⇎((⩦⩻⨪(⋰*⋻4051⊭↱⋰*⋻A10))⫡⨏⋰*⋻956⫥∨⫟⋰*⋻5542⪄(⋰*⋻1A86%⋰*⋻10A0))=⋰*⋻-45360","reverse_text":"⋰*⋻-45360=⪲⇎((⩦⩻⨪(⋰*⋻4051⊭↱⋰*⋻A10))⫡⨏⋰*⋻956⫥∨⫟⋰*⋻5542⪄(⋰*⋻1A86%⋰*⋻10A0))","cot":[{"info":"⋰*⋻4051⊭↱⋰*⋻A10=⋰*⋻-6278","layer":3},{"info":"⩦⩻⨪⋰*⋻-6278=⋰*⋻-6278","layer":2},{"info":"⋰*⋻956⫥∨⫟⋰*⋻5542=NaN","layer":3},{"info":"⋰*⋻1A86%⋰*⋻10A0=⋰*⋻996","layer":3},{"info":"NaN⪄⋰*⋻996=⋰*⋻2A98","layer":2},{"info":"⋰*⋻-6278⫡⨏⋰*⋻2A98=⋰*⋻-22730","layer":1},{"info":"⪲⇎⋰*⋻-22730=⋰*⋻-45360","layer":0}]}
{"id":192,"expression_no_base_symbol":"((($1066$⨎$3581$)∸)+$1722$⪮%⊝$4432$⪒($4810$⩤))⋳⪒((($4466$-$1181$)⨐⩸⫘$4921$≎⊠⪸$3394$)⨐⩸⫘($2273$⨰$5451$⨳⩥⨓$3767$⨟⋌⩍$5769$))","expression":"(((⋰*⋻88A⨎⋰*⋻2766)∸)+⋰*⋻1326⪮%⊝⋰*⋻336A⪒(⋰*⋻3683⩤))⋳⪒(((⋰*⋻33A0-⋰*⋻984)⨐⩸⫘⋰*⋻3774≎⊠⪸⋰*⋻2606)⨐⩸⫘(⋰*⋻1787⨰⋰*⋻4106⨳⩥⨓⋰*⋻2915⨟⋌⩍⋰*⋻4375))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":482,"operation_count":14,"complexity_ratio":34.42857142857143,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1066,"base":11},"right_expr":{"type":"numeric_atoms","value":3581,"base":11}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1722,"base":11},"right_expr":{"type":"numeric_atoms","value":4432,"base":11}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":4810,"base":11}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4466,"base":11},"right_expr":{"type":"numeric_atoms","value":1181,"base":11}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4921,"base":11},"right_expr":{"type":"numeric_atoms","value":3394,"base":11}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2273,"base":11},"right_expr":{"type":"numeric_atoms","value":5451,"base":11}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3767,"base":11},"right_expr":{"type":"numeric_atoms","value":5769,"base":11}}}}},"used_operators":["12rbrZMWeM","W4YGzv6Whe","o20kRiQErp","rJVOvQCfKK","f6k1SAg4EE","IWmyXbctLI","Z2TMIBDE3Q","fu6greOZ01","rysDP5nf3Z","bJkvcejdHO","nCS4ZIUYfx","eewbuw0ToL","rGHVDoGpnC"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1066","layer":4},{"info":"number node, value=3581","layer":4},{"info":"compute binary expreesion, left_input=1066, right_input=3581, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3581","layer":3},{"info":"compute unary expreesion, input=3581, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"number node, value=1722","layer":4},{"info":"number node, value=4432","layer":4},{"info":"compute binary expreesion, left_input=1722, right_input=4432, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3760","layer":3},{"info":"number node, value=4810","layer":4},{"info":"compute unary expreesion, input=4810, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-4810","layer":3},{"info":"compute binary expreesion, left_input=3760, right_input=-4810, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=1050","layer":2},{"info":"compute binary expreesion, left_input=177, right_input=1050, op_id = W4YGzv6Whe binary_op_definition= 'None', output=1227","layer":1},{"info":"number node, value=4466","layer":4},{"info":"number node, value=1181","layer":4},{"info":"compute binary expreesion, left_input=4466, right_input=1181, op_id = rysDP5nf3Z binary_op_definition= 'None', output=3285","layer":3},{"info":"number node, value=4921","layer":4},{"info":"number node, value=3394","layer":4},{"info":"compute binary expreesion, left_input=4921, right_input=3394, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1274066","layer":3},{"info":"compute binary expreesion, left_input=3285, right_input=1274066, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=2273","layer":4},{"info":"number node, value=5451","layer":4},{"info":"compute binary expreesion, left_input=2273, right_input=5451, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-3168","layer":3},{"info":"number node, value=3767","layer":4},{"info":"number node, value=5769","layer":4},{"info":"compute binary expreesion, left_input=3767, right_input=5769, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=-3168, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=1227, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻88A⨎⋰*⋻2766)∸)+⋰*⋻1326⪮%⊝⋰*⋻336A⪒(⋰*⋻3683⩤))⋳⪒(((⋰*⋻33A0-⋰*⋻984)⨐⩸⫘⋰*⋻3774≎⊠⪸⋰*⋻2606)⨐⩸⫘(⋰*⋻1787⨰⋰*⋻4106⨳⩥⨓⋰*⋻2915⨟⋌⩍⋰*⋻4375))=NaN","reverse_text":"NaN=(((⋰*⋻88A⨎⋰*⋻2766)∸)+⋰*⋻1326⪮%⊝⋰*⋻336A⪒(⋰*⋻3683⩤))⋳⪒(((⋰*⋻33A0-⋰*⋻984)⨐⩸⫘⋰*⋻3774≎⊠⪸⋰*⋻2606)⨐⩸⫘(⋰*⋻1787⨰⋰*⋻4106⨳⩥⨓⋰*⋻2915⨟⋌⩍⋰*⋻4375))","cot":[{"info":"⋰*⋻88A⨎⋰*⋻2766=⋰*⋻2766","layer":3},{"info":"⋰*⋻2766∸=⋰*⋻151","layer":2},{"info":"⋰*⋻1326⪮%⊝⋰*⋻336A=⋰*⋻2909","layer":3},{"info":"⋰*⋻3683⩤=⋰*⋻-3683","layer":3},{"info":"⋰*⋻2909⪒⋰*⋻-3683=⋰*⋻875","layer":2},{"info":"⋰*⋻151+⋰*⋻875=⋰*⋻A16","layer":1},{"info":"⋰*⋻33A0-⋰*⋻984=⋰*⋻2517","layer":3},{"info":"⋰*⋻3774≎⊠⪸⋰*⋻2606=⋰*⋻7A0252","layer":3},{"info":"⋰*⋻2517⨐⩸⫘⋰*⋻7A0252=NaN","layer":2},{"info":"⋰*⋻1787⨰⋰*⋻4106=⋰*⋻-2420","layer":3},{"info":"⋰*⋻2915⨟⋌⩍⋰*⋻4375=NaN","layer":3},{"info":"⋰*⋻-2420⨳⩥⨓NaN=NaN","layer":2},{"info":"NaN⨐⩸⫘NaN=NaN","layer":1},{"info":"⋰*⋻A16⋳⪒NaN=NaN","layer":0}]}
{"id":193,"expression_no_base_symbol":"((($2013$⫩⊇)≦≮≮)/(⫓⪴($1166$⪐)))⪛((($5353$≫≃)⨸⪁($7969$⇼⇔∾$3614$))≭(($2902$⋓$2374$)∧))","expression":"(((⋰*⋻1570⫩⊇)≦≮≮)/(⫓⪴(⋰*⋻970⪐)))⪛(((⋰*⋻4027≫≃)⨸⪁(⋰*⋻5A95⇼⇔∾⋰*⋻2796))≭((⋰*⋻21A9⋓⋰*⋻1869)∧))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2375,"operation_count":12,"complexity_ratio":197.91666666666666,"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":2013,"base":11}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1166,"base":11}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":5353,"base":11}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":7969,"base":11},"right_expr":{"type":"numeric_atoms","value":3614,"base":11}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2902,"base":11},"right_expr":{"type":"numeric_atoms","value":2374,"base":11}}}}},"used_operators":["uFcxV4UQCh","XhwjNDsVaA","D4vGDi5EA2","BjRHVeLaeN","eLxqMNBOBk","eH2TOUuTDT","rxpJgHHUmx","g55IO6H4Gj","X99M06cbEe","tifHPKVTfV","z63VuFQld9","T2fj7uvVaJ"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2013","layer":4},{"info":"compute unary expreesion, input=2013, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1971","layer":3},{"info":"compute unary expreesion, input=-1971, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=5913","layer":2},{"info":"number node, value=1166","layer":4},{"info":"compute unary expreesion, input=1166, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2332","layer":3},{"info":"compute unary expreesion, input=2332, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=5438224","layer":2},{"info":"compute binary expreesion, left_input=5913, right_input=5438224, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"number node, value=5353","layer":4},{"info":"compute unary expreesion, input=5353, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=12107","layer":3},{"info":"number node, value=7969","layer":4},{"info":"number node, value=3614","layer":4},{"info":"compute binary expreesion, left_input=7969, right_input=3614, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-4355","layer":3},{"info":"compute binary expreesion, left_input=12107, right_input=-4355, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=15504","layer":2},{"info":"number node, value=2902","layer":4},{"info":"number node, value=2374","layer":4},{"info":"compute binary expreesion, left_input=2902, right_input=2374, op_id = T2fj7uvVaJ binary_op_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 = 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=15504, right_input=0, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=-22","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-22, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=0","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻1570⫩⊇)≦≮≮)/(⫓⪴(⋰*⋻970⪐)))⪛(((⋰*⋻4027≫≃)⨸⪁(⋰*⋻5A95⇼⇔∾⋰*⋻2796))≭((⋰*⋻21A9⋓⋰*⋻1869)∧))=⋰*⋻0","reverse_text":"⋰*⋻0=(((⋰*⋻1570⫩⊇)≦≮≮)/(⫓⪴(⋰*⋻970⪐)))⪛(((⋰*⋻4027≫≃)⨸⪁(⋰*⋻5A95⇼⇔∾⋰*⋻2796))≭((⋰*⋻21A9⋓⋰*⋻1869)∧))","cot":[{"info":"⋰*⋻1570⫩⊇=⋰*⋻-1532","layer":3},{"info":"⋰*⋻-1532≦≮≮=⋰*⋻4496","layer":2},{"info":"⋰*⋻970⪐=⋰*⋻1830","layer":3},{"info":"⫓⪴⋰*⋻1830=⋰*⋻3084900","layer":2},{"info":"⋰*⋻4496/⋰*⋻3084900=⋰*⋻0","layer":1},{"info":"⋰*⋻4027≫≃=⋰*⋻9107","layer":3},{"info":"⋰*⋻5A95⇼⇔∾⋰*⋻2796=⋰*⋻-32AA","layer":3},{"info":"⋰*⋻9107⨸⪁⋰*⋻-32AA=⋰*⋻10715","layer":2},{"info":"⋰*⋻21A9⋓⋰*⋻1869=⋰*⋻0","layer":3},{"info":"⋰*⋻0∧=⋰*⋻0","layer":2},{"info":"⋰*⋻10715≭⋰*⋻0=⋰*⋻-20","layer":1},{"info":"⋰*⋻0⪛⋰*⋻-20=⋰*⋻0","layer":0}]}
{"id":194,"expression_no_base_symbol":"(⨑⩽⪐($2529$↬$2392$⋫))⩤","expression":"(⨑⩽⪐(⋰*⋻199A↬⋰*⋻1885⋫))⩤","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10,"operation_count":4,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"⩤","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2529,"base":11},"right_expr":{"type":"numeric_atoms","value":2392,"base":11}}}}},"used_operators":["Z2TMIBDE3Q","AF7qkfDlqP","JL8yIekQnl","B5M0gjZbta"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","tmPS8pqC7x","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=2529","layer":4},{"info":"number node, value=2392","layer":4},{"info":"compute binary expreesion, left_input=2529, right_input=2392, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 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 = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⨑⩽⪐(⋰*⋻199A↬⋰*⋻1885⋫))⩤=NaN","reverse_text":"NaN=(⨑⩽⪐(⋰*⋻199A↬⋰*⋻1885⋫))⩤","cot":[{"info":"⋰*⋻199A↬⋰*⋻1885=NaN","layer":3},{"info":"NaN⋫=NaN","layer":2},{"info":"⨑⩽⪐NaN=NaN","layer":1},{"info":"NaN⩤=NaN","layer":0}]}
{"id":195,"expression_no_base_symbol":"(∂((↽≂$4473$)⨰($4548$∧)))⨐⩸⫘(↔($3620$+⇶⊼$2223$))≎⊠⪸(↣≠⋷(∥⊫$2397$))","expression":"(∂((↽≂⋰*⋻33A7)⨰(⋰*⋻3465∧)))⨐⩸⫘(↔(⋰*⋻27A1+⇶⊼⋰*⋻1741))≎⊠⪸(↣≠⋷(∥⊫⋰*⋻188A))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4948,"operation_count":10,"complexity_ratio":494.8,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":4473,"base":11}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":4548,"base":11}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3620,"base":11},"right_expr":{"type":"numeric_atoms","value":2223,"base":11}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":2397,"base":11}}}}},"used_operators":["fu6greOZ01","Uaa54Peajs","eewbuw0ToL","u6S6b8DprG","z63VuFQld9","bJkvcejdHO","ruOEQAzv1W","TpPTUOHfaN","Asc51vEJeQ","P8v4zCKN1o"],"dependent_operators":["3ViojmjbAp","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","AHs5Up7iyr","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻-64","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4473","layer":4},{"info":"compute unary expreesion, input=4473, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-8946","layer":3},{"info":"number node, value=4548","layer":4},{"info":"compute unary expreesion, input=4548, 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=-8946, 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 = 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=3620","layer":4},{"info":"number node, value=2223","layer":4},{"info":"compute binary expreesion, left_input=3620, right_input=2223, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":2},{"info":"number node, value=2397","layer":4},{"info":"compute unary expreesion, input=2397, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3265","layer":3},{"info":"compute unary expreesion, input=3265, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-134, 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 = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-70","layer":0}],"base":11,"result_base":11,"text":"(∂((↽≂⋰*⋻33A7)⨰(⋰*⋻3465∧)))⨐⩸⫘(↔(⋰*⋻27A1+⇶⊼⋰*⋻1741))≎⊠⪸(↣≠⋷(∥⊫⋰*⋻188A))=⋰*⋻-64","reverse_text":"⋰*⋻-64=(∂((↽≂⋰*⋻33A7)⨰(⋰*⋻3465∧)))⨐⩸⫘(↔(⋰*⋻27A1+⇶⊼⋰*⋻1741))≎⊠⪸(↣≠⋷(∥⊫⋰*⋻188A))","cot":[{"info":"↽≂⋰*⋻33A7=⋰*⋻-67A3","layer":3},{"info":"⋰*⋻3465∧=NaN","layer":3},{"info":"⋰*⋻-67A3⨰NaN=NaN","layer":2},{"info":"∂NaN=NaN","layer":1},{"info":"⋰*⋻27A1+⇶⊼⋰*⋻1741=NaN","layer":3},{"info":"↔NaN=⋰*⋻-112","layer":2},{"info":"∥⊫⋰*⋻188A=⋰*⋻24A9","layer":3},{"info":"↣≠⋷⋰*⋻24A9=NaN","layer":2},{"info":"⋰*⋻-112≎⊠⪸NaN=⋰*⋻61","layer":1},{"info":"NaN⨐⩸⫘⋰*⋻61=⋰*⋻-64","layer":0}]}
{"id":196,"expression_no_base_symbol":"≦∁(∂($6604$⋝⋈⪟$1247$%$3892$⩚⊴⇥$1941$))","expression":"≦∁(∂(⋰*⋻4A64⋝⋈⪟⋰*⋻A34%⋰*⋻2A19⩚⊴⇥⋰*⋻1505))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":425,"operation_count":5,"complexity_ratio":85.0,"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":6604,"base":11},"right_expr":{"type":"numeric_atoms","value":1247,"base":11}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3892,"base":11},"right_expr":{"type":"numeric_atoms","value":1941,"base":11}}}}},"used_operators":["9ICcGScMcE","Uaa54Peajs","k8jYdgA6NY","2DDjHMKMc0","NTOWxs364D"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⋰*⋻3872","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6604","layer":4},{"info":"number node, value=1247","layer":4},{"info":"compute binary expreesion, left_input=6604, right_input=1247, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6604","layer":3},{"info":"number node, value=3892","layer":4},{"info":"number node, value=1941","layer":4},{"info":"compute binary expreesion, left_input=3892, right_input=1941, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5954","layer":3},{"info":"compute binary expreesion, left_input=6604, right_input=-5954, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-5304","layer":2},{"info":"compute unary expreesion, input=-5304, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=5040","layer":1},{"info":"compute unary expreesion, input=5040, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=5040","layer":0}],"base":11,"result_base":11,"text":"≦∁(∂(⋰*⋻4A64⋝⋈⪟⋰*⋻A34%⋰*⋻2A19⩚⊴⇥⋰*⋻1505))=⋰*⋻3872","reverse_text":"⋰*⋻3872=≦∁(∂(⋰*⋻4A64⋝⋈⪟⋰*⋻A34%⋰*⋻2A19⩚⊴⇥⋰*⋻1505))","cot":[{"info":"⋰*⋻4A64⋝⋈⪟⋰*⋻A34=⋰*⋻4A64","layer":3},{"info":"⋰*⋻2A19⩚⊴⇥⋰*⋻1505=⋰*⋻-4523","layer":3},{"info":"⋰*⋻4A64%⋰*⋻-4523=⋰*⋻-3A92","layer":2},{"info":"∂⋰*⋻-3A92=⋰*⋻3872","layer":1},{"info":"≦∁⋰*⋻3872=⋰*⋻3872","layer":0}]}
{"id":197,"expression_no_base_symbol":"($2410$≎⊠⪸$5996$+⇶⊼$2967$⊴$1987$)⨰(⊙↵-($1118$∀⇚≩$2993$))⫥∨⫟(($4136$∀⇚≩$1167$⇋≉)⨐⩸⫘(⋗⩬⋾$1772$)⫥∨⫟($1263$⪨≂$3126$))","expression":"(⋰*⋻18A1≎⊠⪸⋰*⋻4561+⇶⊼⋰*⋻2258⊴⋰*⋻1547)⨰(⊙↵-(⋰*⋻927∀⇚≩⋰*⋻2281))⫥∨⫟((⋰*⋻3120∀⇚≩⋰*⋻971⇋≉)⨐⩸⫘(⋗⩬⋾⋰*⋻1371)⫥∨⫟(⋰*⋻A49⪨≂⋰*⋻2392))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":41057,"operation_count":13,"complexity_ratio":3158.230769230769,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2410,"base":11},"right_expr":{"type":"numeric_atoms","value":5996,"base":11}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2967,"base":11},"right_expr":{"type":"numeric_atoms","value":1987,"base":11}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1118,"base":11},"right_expr":{"type":"numeric_atoms","value":2993,"base":11}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4136,"base":11},"right_expr":{"type":"numeric_atoms","value":1167,"base":11}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1772,"base":11}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1263,"base":11},"right_expr":{"type":"numeric_atoms","value":3126,"base":11}}}}},"used_operators":["KYD54nUTWz","eewbuw0ToL","TpPTUOHfaN","bJkvcejdHO","Nsiff2A1zJ","oWn0xqSxBt","LRNGc0VcxI","fu6greOZ01","XIabStNQrY","DpFCA1CohY","sdazOOVcIp"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","14qkJME0vr","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","X99M06cbEe","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2410","layer":4},{"info":"number node, value=5996","layer":4},{"info":"compute binary expreesion, left_input=2410, right_input=5996, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=623717","layer":3},{"info":"number node, value=2967","layer":4},{"info":"number node, value=1987","layer":4},{"info":"compute binary expreesion, left_input=2967, right_input=1987, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=623717, 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=1118","layer":4},{"info":"number node, value=2993","layer":4},{"info":"compute binary expreesion, left_input=1118, 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":"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=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=4136","layer":4},{"info":"number node, value=1167","layer":4},{"info":"compute binary expreesion, left_input=4136, right_input=1167, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=nan","layer":2},{"info":"number node, value=1772","layer":4},{"info":"compute unary expreesion, input=1772, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-5316","layer":3},{"info":"number node, value=1263","layer":4},{"info":"number node, value=3126","layer":4},{"info":"compute binary expreesion, left_input=1263, right_input=3126, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-3624","layer":3},{"info":"compute binary expreesion, left_input=-5316, right_input=-3624, 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 binary expreesion, left_input=nan, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻18A1≎⊠⪸⋰*⋻4561+⇶⊼⋰*⋻2258⊴⋰*⋻1547)⨰(⊙↵-(⋰*⋻927∀⇚≩⋰*⋻2281))⫥∨⫟((⋰*⋻3120∀⇚≩⋰*⋻971⇋≉)⨐⩸⫘(⋗⩬⋾⋰*⋻1371)⫥∨⫟(⋰*⋻A49⪨≂⋰*⋻2392))=NaN","reverse_text":"NaN=(⋰*⋻18A1≎⊠⪸⋰*⋻4561+⇶⊼⋰*⋻2258⊴⋰*⋻1547)⨰(⊙↵-(⋰*⋻927∀⇚≩⋰*⋻2281))⫥∨⫟((⋰*⋻3120∀⇚≩⋰*⋻971⇋≉)⨐⩸⫘(⋗⩬⋾⋰*⋻1371)⫥∨⫟(⋰*⋻A49⪨≂⋰*⋻2392))","cot":[{"info":"⋰*⋻18A1≎⊠⪸⋰*⋻4561=⋰*⋻396676","layer":3},{"info":"⋰*⋻2258⊴⋰*⋻1547=NaN","layer":3},{"info":"⋰*⋻396676+⇶⊼NaN=NaN","layer":2},{"info":"⋰*⋻927∀⇚≩⋰*⋻2281=NaN","layer":3},{"info":"⊙↵-NaN=NaN","layer":2},{"info":"NaN⨰NaN=NaN","layer":1},{"info":"⋰*⋻3120∀⇚≩⋰*⋻971=NaN","layer":3},{"info":"NaN⇋≉=NaN","layer":2},{"info":"⋗⩬⋾⋰*⋻1371=⋰*⋻-3AA3","layer":3},{"info":"⋰*⋻A49⪨≂⋰*⋻2392=⋰*⋻-27A5","layer":3},{"info":"⋰*⋻-3AA3⫥∨⫟⋰*⋻-27A5=NaN","layer":2},{"info":"NaN⨐⩸⫘NaN=NaN","layer":1},{"info":"NaN⫥∨⫟NaN=NaN","layer":0}]}
{"id":198,"expression_no_base_symbol":"($1349$↺$4220$⨸⪁(⊥$7420$))∑⇟⊟(($2016$↙$4900$)⨓($2016$⊭∹↮))+⇶⊼($2550$⨐⩸⫘$1573$⫸⊐$7136$⩷∴$6289$⊉≛↸(↥$1766$)↬($1895$≫≃))","expression":"(⋰*⋻1017↺⋰*⋻3197⨸⪁(⊥⋰*⋻5636))∑⇟⊟((⋰*⋻1573↙⋰*⋻3755)⨓(⋰*⋻1573⊭∹↮))+⇶⊼(⋰*⋻1A09⨐⩸⫘⋰*⋻1200⫸⊐⋰*⋻53A8⩷∴⋰*⋻47A8⊉≛↸(↥⋰*⋻1366)↬(⋰*⋻1473≫≃))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":9041,"operation_count":15,"complexity_ratio":602.7333333333333,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1349,"base":11},"right_expr":{"type":"numeric_atoms","value":4220,"base":11}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":7420,"base":11}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2016,"base":11},"right_expr":{"type":"numeric_atoms","value":4900,"base":11}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":2016,"base":11}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2550,"base":11},"right_expr":{"type":"numeric_atoms","value":1573,"base":11}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":7136,"base":11},"right_expr":{"type":"numeric_atoms","value":6289,"base":11}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1766,"base":11}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1895,"base":11}}}}},"used_operators":["TpPTUOHfaN","U7g4x0WXJJ","g55IO6H4Gj","7j4O788W3g","Q3PJZHRvZv","3ViojmjbAp","yyfyN0ffXY","xNBdhnnwKq","DZ8iAZOCBD","mqXw5SEYmG","fu6greOZ01","9FxExcQeMw","B5M0gjZbta","A8NUZmVepG","X99M06cbEe"],"dependent_operators":["AHs5Up7iyr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","tmPS8pqC7x","DpFCA1CohY","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","3ViojmjbAp","rysDP5nf3Z","rGHVDoGpnC","k8jYdgA6NY","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1349","layer":4},{"info":"number node, value=4220","layer":4},{"info":"compute binary expreesion, left_input=1349, right_input=4220, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4220","layer":3},{"info":"number node, value=7420","layer":4},{"info":"compute unary expreesion, input=7420, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4220, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"number node, value=2016","layer":4},{"info":"number node, value=4900","layer":4},{"info":"compute binary expreesion, left_input=2016, right_input=4900, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-14700","layer":3},{"info":"number node, value=2016","layer":4},{"info":"compute unary expreesion, input=2016, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=4032","layer":3},{"info":"compute binary expreesion, left_input=-14700, right_input=4032, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4035","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-4035, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=2550","layer":4},{"info":"number node, value=1573","layer":4},{"info":"compute binary expreesion, left_input=2550, right_input=1573, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=7136","layer":4},{"info":"number node, value=6289","layer":4},{"info":"compute binary expreesion, left_input=7136, right_input=6289, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1662","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1662, 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=1766","layer":4},{"info":"compute unary expreesion, input=1766, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=32","layer":3},{"info":"number node, value=1895","layer":4},{"info":"compute unary expreesion, input=1895, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=5191","layer":3},{"info":"compute binary expreesion, left_input=32, right_input=5191, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = 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 = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1017↺⋰*⋻3197⨸⪁(⊥⋰*⋻5636))∑⇟⊟((⋰*⋻1573↙⋰*⋻3755)⨓(⋰*⋻1573⊭∹↮))+⇶⊼(⋰*⋻1A09⨐⩸⫘⋰*⋻1200⫸⊐⋰*⋻53A8⩷∴⋰*⋻47A8⊉≛↸(↥⋰*⋻1366)↬(⋰*⋻1473≫≃))=NaN","reverse_text":"NaN=(⋰*⋻1017↺⋰*⋻3197⨸⪁(⊥⋰*⋻5636))∑⇟⊟((⋰*⋻1573↙⋰*⋻3755)⨓(⋰*⋻1573⊭∹↮))+⇶⊼(⋰*⋻1A09⨐⩸⫘⋰*⋻1200⫸⊐⋰*⋻53A8⩷∴⋰*⋻47A8⊉≛↸(↥⋰*⋻1366)↬(⋰*⋻1473≫≃))","cot":[{"info":"⋰*⋻1017↺⋰*⋻3197=⋰*⋻3197","layer":3},{"info":"⊥⋰*⋻5636=NaN","layer":3},{"info":"⋰*⋻3197⨸⪁NaN=NaN","layer":2},{"info":"⋰*⋻1573↙⋰*⋻3755=⋰*⋻-10054","layer":3},{"info":"⋰*⋻1573⊭∹↮=⋰*⋻3036","layer":3},{"info":"⋰*⋻-10054⨓⋰*⋻3036=⋰*⋻-3039","layer":2},{"info":"NaN∑⇟⊟⋰*⋻-3039=NaN","layer":1},{"info":"⋰*⋻1A09⨐⩸⫘⋰*⋻1200=NaN","layer":3},{"info":"⋰*⋻53A8⩷∴⋰*⋻47A8=⋰*⋻1281","layer":3},{"info":"NaN⫸⊐⋰*⋻1281=NaN","layer":2},{"info":"↥⋰*⋻1366=⋰*⋻2A","layer":3},{"info":"⋰*⋻1473≫≃=⋰*⋻399A","layer":3},{"info":"⋰*⋻2A↬⋰*⋻399A=NaN","layer":2},{"info":"NaN⊉≛↸NaN=NaN","layer":1},{"info":"NaN+⇶⊼NaN=NaN","layer":0}]}
{"id":199,"expression_no_base_symbol":"⨈⫕($1096$⋓$2679$)⪘⫢$2584$⪘⫢$1118$⩚⊴⇥(≦∁$1020$⨸⪁$4749$)","expression":"⨈⫕(⋰*⋻907⋓⋰*⋻2016)⪘⫢⋰*⋻1A3A⪘⫢⋰*⋻927⩚⊴⇥(≦∁⋰*⋻848⨸⪁⋰*⋻3628)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":439,"operation_count":7,"complexity_ratio":62.714285714285715,"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":1096,"base":11},"right_expr":{"type":"numeric_atoms","value":2679,"base":11}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2584,"base":11},"right_expr":{"type":"numeric_atoms","value":1118,"base":11}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1020,"base":11},"right_expr":{"type":"numeric_atoms","value":4749,"base":11}}}}},"used_operators":["megm06wKyl","NTOWxs364D","oacrs7FA3X","T2fj7uvVaJ","9ICcGScMcE","g55IO6H4Gj"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe"],"result":"⋰*⋻-1A","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1096","layer":4},{"info":"number node, value=2679","layer":4},{"info":"compute binary expreesion, left_input=1096, right_input=2679, op_id = T2fj7uvVaJ binary_op_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=2584","layer":4},{"info":"number node, value=1118","layer":4},{"info":"compute binary expreesion, left_input=2584, right_input=1118, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5044","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5044, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1156","layer":2},{"info":"number node, value=1020","layer":4},{"info":"number node, value=4749","layer":4},{"info":"compute binary expreesion, left_input=1020, right_input=4749, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=11538","layer":3},{"info":"compute unary expreesion, input=11538, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=11538","layer":2},{"info":"compute binary expreesion, left_input=-1156, right_input=11538, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-10503","layer":1},{"info":"compute unary expreesion, input=-10503, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":0}],"base":11,"result_base":11,"text":"⨈⫕(⋰*⋻907⋓⋰*⋻2016)⪘⫢⋰*⋻1A3A⪘⫢⋰*⋻927⩚⊴⇥(≦∁⋰*⋻848⨸⪁⋰*⋻3628)=⋰*⋻-1A","reverse_text":"⋰*⋻-1A=⨈⫕(⋰*⋻907⋓⋰*⋻2016)⪘⫢⋰*⋻1A3A⪘⫢⋰*⋻927⩚⊴⇥(≦∁⋰*⋻848⨸⪁⋰*⋻3628)","cot":[{"info":"⋰*⋻907⋓⋰*⋻2016=⋰*⋻0","layer":3},{"info":"⋰*⋻1A3A⪘⫢⋰*⋻927=⋰*⋻3876","layer":3},{"info":"⋰*⋻0⪘⫢⋰*⋻3876=⋰*⋻-961","layer":2},{"info":"⋰*⋻848⨸⪁⋰*⋻3628=⋰*⋻873A","layer":3},{"info":"≦∁⋰*⋻873A=⋰*⋻873A","layer":2},{"info":"⋰*⋻-961⩚⊴⇥⋰*⋻873A=⋰*⋻-7989","layer":1},{"info":"⨈⫕⋰*⋻-7989=⋰*⋻-1A","layer":0}]}
{"id":200,"expression_no_base_symbol":"((⨞⊢$2306$⨪↰⇹$2113$)⨵⪆(↔(⫛⫱⨽$3342$)))∑⇟⊟((≉$1771$⋓$2303$)⋓(⋗⩬⋾$2132$)↬($2745$⪠⩆⊳))","expression":"((⨞⊢⋰*⋻1807⨪↰⇹⋰*⋻1651)⨵⪆(↔(⫛⫱⨽⋰*⋻2569)))∑⇟⊟((≉⋰*⋻1370⋓⋰*⋻1804)⋓(⋗⩬⋾⋰*⋻1669)↬(⋰*⋻2076⪠⩆⊳))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3780,"operation_count":12,"complexity_ratio":315.0,"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":2306,"base":11},"right_expr":{"type":"numeric_atoms","value":2113,"base":11}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":3342,"base":11}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1771,"base":11},"right_expr":{"type":"numeric_atoms","value":2303,"base":11}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":2132,"base":11}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":2745,"base":11}}}}},"used_operators":["U7g4x0WXJJ","2DQ55sFlQl","xUOZtlo3hN","tmPS8pqC7x","ruOEQAzv1W","DlLNRPXxWL","T2fj7uvVaJ","e1ybzncUwg","B5M0gjZbta","DpFCA1CohY","JLbD19bQDL"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rGHVDoGpnC","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2306","layer":4},{"info":"number node, value=2113","layer":4},{"info":"compute binary expreesion, left_input=2306, right_input=2113, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2306","layer":3},{"info":"compute unary expreesion, input=2306, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2480","layer":2},{"info":"number node, value=3342","layer":4},{"info":"compute unary expreesion, input=3342, 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 binary expreesion, left_input=-2480, right_input=789, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=1771","layer":4},{"info":"number node, value=2303","layer":4},{"info":"compute binary expreesion, left_input=1771, right_input=2303, op_id = T2fj7uvVaJ binary_op_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":"number node, value=2132","layer":4},{"info":"compute unary expreesion, input=2132, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-6396","layer":3},{"info":"number node, value=2745","layer":4},{"info":"compute unary expreesion, input=2745, 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=-6396, 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=531, 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=160, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⨞⊢⋰*⋻1807⨪↰⇹⋰*⋻1651)⨵⪆(↔(⫛⫱⨽⋰*⋻2569)))∑⇟⊟((≉⋰*⋻1370⋓⋰*⋻1804)⋓(⋗⩬⋾⋰*⋻1669)↬(⋰*⋻2076⪠⩆⊳))=NaN","reverse_text":"NaN=((⨞⊢⋰*⋻1807⨪↰⇹⋰*⋻1651)⨵⪆(↔(⫛⫱⨽⋰*⋻2569)))∑⇟⊟((≉⋰*⋻1370⋓⋰*⋻1804)⋓(⋗⩬⋾⋰*⋻1669)↬(⋰*⋻2076⪠⩆⊳))","cot":[{"info":"⋰*⋻1807⨪↰⇹⋰*⋻1651=⋰*⋻1807","layer":3},{"info":"⨞⊢⋰*⋻1807=⋰*⋻-1955","layer":2},{"info":"⫛⫱⨽⋰*⋻2569=⋰*⋻0","layer":3},{"info":"↔⋰*⋻0=⋰*⋻658","layer":2},{"info":"⋰*⋻-1955⨵⪆⋰*⋻658=⋰*⋻136","layer":1},{"info":"⋰*⋻1370⋓⋰*⋻1804=⋰*⋻0","layer":3},{"info":"≉⋰*⋻0=⋰*⋻443","layer":2},{"info":"⋗⩬⋾⋰*⋻1669=⋰*⋻-4895","layer":3},{"info":"⋰*⋻2076⪠⩆⊳=⋰*⋻0","layer":3},{"info":"⋰*⋻-4895↬⋰*⋻0=NaN","layer":2},{"info":"⋰*⋻443⋓NaN=NaN","layer":1},{"info":"⋰*⋻136∑⇟⊟NaN=NaN","layer":0}]}
{"id":201,"expression_no_base_symbol":"((($7253$⫸⊐$1237$)⋥≓≎($2737$⩨$2249$))⊭∹↮)⇼⇔∾(($3819$⫩⊇)⊭↱($6646$%$2022$)⊭↱($4211$∀⇚≩$1111$)⪢($4954$≎⊠⪸$4750$))","expression":"(((⋰*⋻54A4⫸⊐⋰*⋻A25)⋥≓≎(⋰*⋻2069⩨⋰*⋻1765))⊭∹↮)⇼⇔∾((⋰*⋻2962⫩⊇)⊭↱(⋰*⋻4AA2%⋰*⋻1579)⊭↱(⋰*⋻3189∀⇚≩⋰*⋻920)⪢(⋰*⋻37A4≎⊠⪸⋰*⋻3629))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":29800,"operation_count":12,"complexity_ratio":2483.3333333333335,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":7253,"base":11},"right_expr":{"type":"numeric_atoms","value":1237,"base":11}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2737,"base":11},"right_expr":{"type":"numeric_atoms","value":2249,"base":11}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":3819,"base":11}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":6646,"base":11},"right_expr":{"type":"numeric_atoms","value":2022,"base":11}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4211,"base":11},"right_expr":{"type":"numeric_atoms","value":1111,"base":11}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4954,"base":11},"right_expr":{"type":"numeric_atoms","value":4750,"base":11}}}}},"used_operators":["tifHPKVTfV","xNBdhnnwKq","Qy55tPpLXF","mqXw5SEYmG","2DlMacCsIx","COABgblf1C","BjRHVeLaeN","k8jYdgA6NY","dWAJyo7jo9","LRNGc0VcxI","bJkvcejdHO"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","k8jYdgA6NY","X99M06cbEe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7253","layer":4},{"info":"number node, value=1237","layer":4},{"info":"compute binary expreesion, left_input=7253, right_input=1237, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4823","layer":3},{"info":"number node, value=2737","layer":4},{"info":"number node, value=2249","layer":4},{"info":"compute binary expreesion, left_input=2737, right_input=2249, 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=4823, right_input=0, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-4790","layer":2},{"info":"compute unary expreesion, input=-4790, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=-4790","layer":1},{"info":"number node, value=3819","layer":4},{"info":"compute unary expreesion, input=3819, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-3777","layer":3},{"info":"number node, value=6646","layer":4},{"info":"number node, value=2022","layer":4},{"info":"compute binary expreesion, left_input=6646, right_input=2022, op_id = k8jYdgA6NY binary_op_definition= 'None', output=580","layer":3},{"info":"compute binary expreesion, left_input=-3777, right_input=580, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=8719","layer":2},{"info":"number node, value=4211","layer":4},{"info":"number node, value=1111","layer":4},{"info":"compute binary expreesion, left_input=4211, right_input=1111, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=4954","layer":4},{"info":"number node, value=4750","layer":4},{"info":"compute binary expreesion, left_input=4954, right_input=4750, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1282613","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1282613, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=8719, 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=-4790, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻54A4⫸⊐⋰*⋻A25)⋥≓≎(⋰*⋻2069⩨⋰*⋻1765))⊭∹↮)⇼⇔∾((⋰*⋻2962⫩⊇)⊭↱(⋰*⋻4AA2%⋰*⋻1579)⊭↱(⋰*⋻3189∀⇚≩⋰*⋻920)⪢(⋰*⋻37A4≎⊠⪸⋰*⋻3629))=NaN","reverse_text":"NaN=(((⋰*⋻54A4⫸⊐⋰*⋻A25)⋥≓≎(⋰*⋻2069⩨⋰*⋻1765))⊭∹↮)⇼⇔∾((⋰*⋻2962⫩⊇)⊭↱(⋰*⋻4AA2%⋰*⋻1579)⊭↱(⋰*⋻3189∀⇚≩⋰*⋻920)⪢(⋰*⋻37A4≎⊠⪸⋰*⋻3629))","cot":[{"info":"⋰*⋻54A4⫸⊐⋰*⋻A25=⋰*⋻3695","layer":3},{"info":"⋰*⋻2069⩨⋰*⋻1765=⋰*⋻0","layer":3},{"info":"⋰*⋻3695⋥≓≎⋰*⋻0=⋰*⋻-3665","layer":2},{"info":"⋰*⋻-3665⊭∹↮=⋰*⋻-3665","layer":1},{"info":"⋰*⋻2962⫩⊇=⋰*⋻-2924","layer":3},{"info":"⋰*⋻4AA2%⋰*⋻1579=⋰*⋻488","layer":3},{"info":"⋰*⋻-2924⊭↱⋰*⋻488=⋰*⋻6607","layer":2},{"info":"⋰*⋻3189∀⇚≩⋰*⋻920=NaN","layer":3},{"info":"⋰*⋻37A4≎⊠⪸⋰*⋻3629=⋰*⋻7A6712","layer":3},{"info":"NaN⪢⋰*⋻7A6712=NaN","layer":2},{"info":"⋰*⋻6607⊭↱NaN=NaN","layer":1},{"info":"⋰*⋻-3665⇼⇔∾NaN=NaN","layer":0}]}
{"id":202,"expression_no_base_symbol":"(⊄⩳↩($1007$*$1143$))↺(↩$4429$⪢$1906$)*(+⊝⨔($1133$⋓$2508$))≧⫂∧((≦∁$3855$)⨽$2659$⨽$1067$)","expression":"(⊄⩳↩(⋰*⋻836*⋰*⋻94A))↺(↩⋰*⋻3367⪢⋰*⋻1483)*(+⊝⨔(⋰*⋻940⋓⋰*⋻1980))≧⫂∧((≦∁⋰*⋻2995)⨽⋰*⋻1AA8⨽⋰*⋻890)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":16784,"operation_count":12,"complexity_ratio":1398.6666666666667,"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":1007,"base":11},"right_expr":{"type":"numeric_atoms","value":1143,"base":11}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4429,"base":11},"right_expr":{"type":"numeric_atoms","value":1906,"base":11}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1133,"base":11},"right_expr":{"type":"numeric_atoms","value":2508,"base":11}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":3855,"base":11}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2659,"base":11},"right_expr":{"type":"numeric_atoms","value":1067,"base":11}}}}},"used_operators":["9HNa5Wba9A","7j4O788W3g","8w2t5hMYqp","jLgFTUHLKL","dWAJyo7jo9","Ph9nP6C5qx","DhbWaqg5eL","T2fj7uvVaJ","8HhzD0ZcuI","9ICcGScMcE"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1007","layer":4},{"info":"number node, value=1143","layer":4},{"info":"compute binary expreesion, left_input=1007, right_input=1143, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=1151001","layer":3},{"info":"compute unary expreesion, input=1151001, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3453003","layer":2},{"info":"number node, value=4429","layer":4},{"info":"number node, value=1906","layer":4},{"info":"compute binary expreesion, left_input=4429, right_input=1906, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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":"compute binary expreesion, left_input=-3453003, 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=1133","layer":4},{"info":"number node, value=2508","layer":4},{"info":"compute binary expreesion, left_input=1133, right_input=2508, op_id = T2fj7uvVaJ binary_op_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 = 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=3855","layer":4},{"info":"compute unary expreesion, input=3855, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3855","layer":3},{"info":"number node, value=2659","layer":4},{"info":"number node, value=1067","layer":4},{"info":"compute binary expreesion, left_input=2659, right_input=1067, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-21212730","layer":3},{"info":"compute binary expreesion, left_input=3855, right_input=-21212730, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=19056429","layer":2},{"info":"compute binary expreesion, left_input=1522, right_input=19056429, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=19055956","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=19055956, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⊄⩳↩(⋰*⋻836*⋰*⋻94A))↺(↩⋰*⋻3367⪢⋰*⋻1483)*(+⊝⨔(⋰*⋻940⋓⋰*⋻1980))≧⫂∧((≦∁⋰*⋻2995)⨽⋰*⋻1AA8⨽⋰*⋻890)=NaN","reverse_text":"NaN=(⊄⩳↩(⋰*⋻836*⋰*⋻94A))↺(↩⋰*⋻3367⪢⋰*⋻1483)*(+⊝⨔(⋰*⋻940⋓⋰*⋻1980))≧⫂∧((≦∁⋰*⋻2995)⨽⋰*⋻1AA8⨽⋰*⋻890)","cot":[{"info":"⋰*⋻836*⋰*⋻94A=⋰*⋻716845","layer":3},{"info":"⊄⩳↩⋰*⋻716845=⋰*⋻-1A49324","layer":2},{"info":"⋰*⋻3367⪢⋰*⋻1483=NaN","layer":3},{"info":"↩NaN=NaN","layer":2},{"info":"⋰*⋻-1A49324↺NaN=NaN","layer":1},{"info":"⋰*⋻940⋓⋰*⋻1980=⋰*⋻0","layer":3},{"info":"+⊝⨔⋰*⋻0=⋰*⋻1164","layer":2},{"info":"≦∁⋰*⋻2995=⋰*⋻2995","layer":3},{"info":"⋰*⋻1AA8⨽⋰*⋻890=⋰*⋻-10A79490","layer":3},{"info":"⋰*⋻2995⨽⋰*⋻-10A79490=⋰*⋻A836417","layer":2},{"info":"⋰*⋻1164≧⫂∧⋰*⋻A836417=⋰*⋻A836027","layer":1},{"info":"NaN*⋰*⋻A836027=NaN","layer":0}]}
{"id":203,"expression_no_base_symbol":"(($3290$⋥≓≎$6026$⊉≛↸($4126$%$1014$))⨁⊸⫻)⨓($2011$≧⫂∧$2580$≎⊠⪸($1396$⫥∨⫟$6344$)⩨($3000$⫸⊐$1015$)⨎($2643$⊉≛↸$2070$))","expression":"((⋰*⋻2521⋥≓≎⋰*⋻4589⊉≛↸(⋰*⋻3111%⋰*⋻842))⨁⊸⫻)⨓(⋰*⋻1569≧⫂∧⋰*⋻1A36≎⊠⪸(⋰*⋻105A⫥∨⫟⋰*⋻4848)⩨(⋰*⋻2288⫸⊐⋰*⋻843)⨎(⋰*⋻1A93⊉≛↸⋰*⋻1612))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":525,"operation_count":12,"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":3290,"base":11},"right_expr":{"type":"numeric_atoms","value":6026,"base":11}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4126,"base":11},"right_expr":{"type":"numeric_atoms","value":1014,"base":11}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2011,"base":11},"right_expr":{"type":"numeric_atoms","value":2580,"base":11}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1396,"base":11},"right_expr":{"type":"numeric_atoms","value":6344,"base":11}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3000,"base":11},"right_expr":{"type":"numeric_atoms","value":1015,"base":11}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2643,"base":11},"right_expr":{"type":"numeric_atoms","value":2070,"base":11}}}}},"used_operators":["3ViojmjbAp","glklzrTFfD","DZ8iAZOCBD","Qy55tPpLXF","k8jYdgA6NY","2DlMacCsIx","bJkvcejdHO","Ph9nP6C5qx","KYD54nUTWz","rJVOvQCfKK","mqXw5SEYmG"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⋰*⋻1A0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3290","layer":4},{"info":"number node, value=6026","layer":4},{"info":"compute binary expreesion, left_input=3290, right_input=6026, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=8795","layer":3},{"info":"number node, value=4126","layer":4},{"info":"number node, value=1014","layer":4},{"info":"compute binary expreesion, left_input=4126, right_input=1014, op_id = k8jYdgA6NY binary_op_definition= 'None', output=70","layer":3},{"info":"compute binary expreesion, left_input=8795, right_input=70, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=17590","layer":2},{"info":"compute unary expreesion, input=17590, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=17590","layer":1},{"info":"number node, value=2011","layer":4},{"info":"number node, value=2580","layer":4},{"info":"compute binary expreesion, left_input=2011, right_input=2580, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2107","layer":3},{"info":"number node, value=1396","layer":4},{"info":"number node, value=6344","layer":4},{"info":"compute binary expreesion, left_input=1396, right_input=6344, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2107, 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=3000","layer":4},{"info":"number node, value=1015","layer":4},{"info":"compute binary expreesion, left_input=3000, right_input=1015, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=3935","layer":3},{"info":"number node, value=2643","layer":4},{"info":"number node, value=2070","layer":4},{"info":"compute binary expreesion, left_input=2643, right_input=2070, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5286","layer":3},{"info":"compute binary expreesion, left_input=3935, right_input=5286, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5286","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=5286, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-234","layer":1},{"info":"compute binary expreesion, left_input=17590, right_input=-234, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=231","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻2521⋥≓≎⋰*⋻4589⊉≛↸(⋰*⋻3111%⋰*⋻842))⨁⊸⫻)⨓(⋰*⋻1569≧⫂∧⋰*⋻1A36≎⊠⪸(⋰*⋻105A⫥∨⫟⋰*⋻4848)⩨(⋰*⋻2288⫸⊐⋰*⋻843)⨎(⋰*⋻1A93⊉≛↸⋰*⋻1612))=⋰*⋻1A0","reverse_text":"⋰*⋻1A0=((⋰*⋻2521⋥≓≎⋰*⋻4589⊉≛↸(⋰*⋻3111%⋰*⋻842))⨁⊸⫻)⨓(⋰*⋻1569≧⫂∧⋰*⋻1A36≎⊠⪸(⋰*⋻105A⫥∨⫟⋰*⋻4848)⩨(⋰*⋻2288⫸⊐⋰*⋻843)⨎(⋰*⋻1A93⊉≛↸⋰*⋻1612))","cot":[{"info":"⋰*⋻2521⋥≓≎⋰*⋻4589=⋰*⋻6676","layer":3},{"info":"⋰*⋻3111%⋰*⋻842=⋰*⋻64","layer":3},{"info":"⋰*⋻6676⊉≛↸⋰*⋻64=⋰*⋻12241","layer":2},{"info":"⋰*⋻12241⨁⊸⫻=⋰*⋻12241","layer":1},{"info":"⋰*⋻1569≧⫂∧⋰*⋻1A36=⋰*⋻1646","layer":3},{"info":"⋰*⋻105A⫥∨⫟⋰*⋻4848=NaN","layer":3},{"info":"⋰*⋻1646≎⊠⪸NaN=⋰*⋻61","layer":2},{"info":"⋰*⋻2288⫸⊐⋰*⋻843=⋰*⋻2A58","layer":3},{"info":"⋰*⋻1A93⊉≛↸⋰*⋻1612=⋰*⋻3A76","layer":3},{"info":"⋰*⋻2A58⨎⋰*⋻3A76=⋰*⋻3A76","layer":2},{"info":"⋰*⋻61⩨⋰*⋻3A76=⋰*⋻-1A3","layer":1},{"info":"⋰*⋻12241⨓⋰*⋻-1A3=⋰*⋻1A0","layer":0}]}
{"id":204,"expression_no_base_symbol":"(∂(($1123$⊭↱$1893$)≎⊠⪸($7185$⋥≓≎$1152$)))⫩⊇","expression":"(∂((⋰*⋻931⊭↱⋰*⋻1471)≎⊠⪸(⋰*⋻5442⋥≓≎⋰*⋻958)))⫩⊇","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":440,"operation_count":5,"complexity_ratio":88.0,"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":1123,"base":11},"right_expr":{"type":"numeric_atoms","value":1893,"base":11}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":7185,"base":11},"right_expr":{"type":"numeric_atoms","value":1152,"base":11}}}}},"used_operators":["BjRHVeLaeN","Uaa54Peajs","bJkvcejdHO","COABgblf1C","Qy55tPpLXF"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⋰*⋻30A","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1123","layer":4},{"info":"number node, value=1893","layer":4},{"info":"compute binary expreesion, left_input=1123, right_input=1893, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=1545","layer":3},{"info":"number node, value=7185","layer":4},{"info":"number node, value=1152","layer":4},{"info":"compute binary expreesion, left_input=7185, right_input=1152, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-4848","layer":3},{"info":"compute binary expreesion, left_input=1545, right_input=-4848, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=-331","layer":1},{"info":"compute unary expreesion, input=-331, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=373","layer":0}],"base":11,"result_base":11,"text":"(∂((⋰*⋻931⊭↱⋰*⋻1471)≎⊠⪸(⋰*⋻5442⋥≓≎⋰*⋻958)))⫩⊇=⋰*⋻30A","reverse_text":"⋰*⋻30A=(∂((⋰*⋻931⊭↱⋰*⋻1471)≎⊠⪸(⋰*⋻5442⋥≓≎⋰*⋻958)))⫩⊇","cot":[{"info":"⋰*⋻931⊭↱⋰*⋻1471=⋰*⋻1185","layer":3},{"info":"⋰*⋻5442⋥≓≎⋰*⋻958=⋰*⋻-3708","layer":3},{"info":"⋰*⋻1185≎⊠⪸⋰*⋻-3708=⋰*⋻61","layer":2},{"info":"∂⋰*⋻61=⋰*⋻-281","layer":1},{"info":"⋰*⋻-281⫩⊇=⋰*⋻30A","layer":0}]}
{"id":205,"expression_no_base_symbol":"((⫓⪴($2249$↺$7568$))↛⩡⫤)≧⫂∧((⫓⪴$1785$)⪐)↬($1217$⨪↰⇹$1888$-$4144$⨎$3122$)","expression":"((⫓⪴(⋰*⋻1765↺⋰*⋻5760))↛⩡⫤)≧⫂∧((⫓⪴⋰*⋻1383)⪐)↬(⋰*⋻A07⨪↰⇹⋰*⋻1467-⋰*⋻3128⨎⋰*⋻2389)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":10642,"operation_count":10,"complexity_ratio":1064.2,"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":2249,"base":11},"right_expr":{"type":"numeric_atoms","value":7568,"base":11}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1785,"base":11}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1217,"base":11},"right_expr":{"type":"numeric_atoms","value":1888,"base":11}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4144,"base":11},"right_expr":{"type":"numeric_atoms","value":3122,"base":11}}}}},"used_operators":["Ph9nP6C5qx","FU0Cs4j7VP","eLxqMNBOBk","7j4O788W3g","B5M0gjZbta","eH2TOUuTDT","rysDP5nf3Z","tmPS8pqC7x","rJVOvQCfKK"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2249","layer":4},{"info":"number node, value=7568","layer":4},{"info":"compute binary expreesion, left_input=2249, right_input=7568, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=7568","layer":3},{"info":"compute unary expreesion, input=7568, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=57274624","layer":2},{"info":"compute unary expreesion, input=57274624, 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=1785","layer":4},{"info":"compute unary expreesion, input=1785, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=3186225","layer":3},{"info":"compute unary expreesion, input=3186225, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=6372450","layer":2},{"info":"number node, value=1217","layer":4},{"info":"number node, value=1888","layer":4},{"info":"compute binary expreesion, left_input=1217, right_input=1888, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1217","layer":3},{"info":"number node, value=4144","layer":4},{"info":"number node, value=3122","layer":4},{"info":"compute binary expreesion, left_input=4144, right_input=3122, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3122","layer":3},{"info":"compute binary expreesion, left_input=1217, right_input=3122, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1905","layer":2},{"info":"compute binary expreesion, left_input=6372450, right_input=-1905, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⫓⪴(⋰*⋻1765↺⋰*⋻5760))↛⩡⫤)≧⫂∧((⫓⪴⋰*⋻1383)⪐)↬(⋰*⋻A07⨪↰⇹⋰*⋻1467-⋰*⋻3128⨎⋰*⋻2389)=NaN","reverse_text":"NaN=((⫓⪴(⋰*⋻1765↺⋰*⋻5760))↛⩡⫤)≧⫂∧((⫓⪴⋰*⋻1383)⪐)↬(⋰*⋻A07⨪↰⇹⋰*⋻1467-⋰*⋻3128⨎⋰*⋻2389)","cot":[{"info":"⋰*⋻1765↺⋰*⋻5760=⋰*⋻5760","layer":3},{"info":"⫓⪴⋰*⋻5760=⋰*⋻2A36A300","layer":2},{"info":"⋰*⋻2A36A300↛⩡⫤=NaN","layer":1},{"info":"⫓⪴⋰*⋻1383=⋰*⋻1886949","layer":3},{"info":"⋰*⋻1886949⪐=⋰*⋻3662797","layer":2},{"info":"⋰*⋻A07⨪↰⇹⋰*⋻1467=⋰*⋻A07","layer":3},{"info":"⋰*⋻3128⨎⋰*⋻2389=⋰*⋻2389","layer":3},{"info":"⋰*⋻A07-⋰*⋻2389=⋰*⋻-1482","layer":2},{"info":"⋰*⋻3662797↬⋰*⋻-1482=NaN","layer":1},{"info":"NaN≧⫂∧NaN=NaN","layer":0}]}
{"id":206,"expression_no_base_symbol":"($3740$⪄$8011$⇼⇔∾(↯⪼$2394$))⋳⪒(($5127$⨳⩥⨓$3152$)⨽($4159$⪒$4807$))↺(($5240$⩤)⊭∹↮)⫥∨⫟($6498$⋳⪒$3421$)⇷($6568$≣⋋)","expression":"(⋰*⋻28A0⪄⋰*⋻6023⇼⇔∾(↯⪼⋰*⋻1887))⋳⪒((⋰*⋻3941⨳⩥⨓⋰*⋻2406)⨽(⋰*⋻3141⪒⋰*⋻3680))↺((⋰*⋻3A34⩤)⊭∹↮)⫥∨⫟(⋰*⋻4978⋳⪒⋰*⋻2630)⇷(⋰*⋻4A31≣⋋)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":132842,"operation_count":14,"complexity_ratio":9488.714285714286,"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":3740,"base":11},"right_expr":{"type":"numeric_atoms","value":8011,"base":11}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2394,"base":11}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5127,"base":11},"right_expr":{"type":"numeric_atoms","value":3152,"base":11}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":4159,"base":11},"right_expr":{"type":"numeric_atoms","value":4807,"base":11}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":5240,"base":11}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":6498,"base":11},"right_expr":{"type":"numeric_atoms","value":3421,"base":11}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":6568,"base":11}}}}},"used_operators":["7j4O788W3g","12rbrZMWeM","tifHPKVTfV","SUmda5xLS4","8jW3W4yZS5","8HhzD0ZcuI","nCS4ZIUYfx","f6k1SAg4EE","KYD54nUTWz","xNBdhnnwKq","Z2TMIBDE3Q","mp7IySMOzn","Tcnh7f0tEr"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3740","layer":4},{"info":"number node, value=8011","layer":4},{"info":"compute binary expreesion, left_input=3740, right_input=8011, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-581653","layer":3},{"info":"number node, value=2394","layer":4},{"info":"compute unary expreesion, input=2394, 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=-581653, right_input=-21, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=581632","layer":2},{"info":"number node, value=5127","layer":4},{"info":"number node, value=3152","layer":4},{"info":"compute binary expreesion, left_input=5127, right_input=3152, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1975","layer":3},{"info":"number node, value=4159","layer":4},{"info":"number node, value=4807","layer":4},{"info":"compute binary expreesion, left_input=4159, right_input=4807, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8966","layer":3},{"info":"compute binary expreesion, left_input=-1975, right_input=-8966, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-11673663","layer":2},{"info":"compute binary expreesion, left_input=581632, right_input=-11673663, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=12836640","layer":1},{"info":"number node, value=5240","layer":4},{"info":"compute unary expreesion, input=5240, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-5240","layer":3},{"info":"compute unary expreesion, input=-5240, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=-5240","layer":2},{"info":"number node, value=6498","layer":4},{"info":"number node, value=3421","layer":4},{"info":"compute binary expreesion, left_input=6498, right_input=3421, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=9288","layer":3},{"info":"number node, value=6568","layer":4},{"info":"compute unary expreesion, input=6568, 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=9288, right_input=0, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-5240, right_input=0, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=12836640, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻28A0⪄⋰*⋻6023⇼⇔∾(↯⪼⋰*⋻1887))⋳⪒((⋰*⋻3941⨳⩥⨓⋰*⋻2406)⨽(⋰*⋻3141⪒⋰*⋻3680))↺((⋰*⋻3A34⩤)⊭∹↮)⫥∨⫟(⋰*⋻4978⋳⪒⋰*⋻2630)⇷(⋰*⋻4A31≣⋋)=NaN","reverse_text":"NaN=(⋰*⋻28A0⪄⋰*⋻6023⇼⇔∾(↯⪼⋰*⋻1887))⋳⪒((⋰*⋻3941⨳⩥⨓⋰*⋻2406)⨽(⋰*⋻3141⪒⋰*⋻3680))↺((⋰*⋻3A34⩤)⊭∹↮)⫥∨⫟(⋰*⋻4978⋳⪒⋰*⋻2630)⇷(⋰*⋻4A31≣⋋)","cot":[{"info":"⋰*⋻28A0⪄⋰*⋻6023=⋰*⋻-368006","layer":3},{"info":"↯⪼⋰*⋻1887=⋰*⋻-1A","layer":3},{"info":"⋰*⋻-368006⇼⇔∾⋰*⋻-1A=⋰*⋻367A97","layer":2},{"info":"⋰*⋻3941⨳⩥⨓⋰*⋻2406=⋰*⋻-1536","layer":3},{"info":"⋰*⋻3141⪒⋰*⋻3680=⋰*⋻-6811","layer":3},{"info":"⋰*⋻-1536⨽⋰*⋻-6811=⋰*⋻-6653661","layer":2},{"info":"⋰*⋻367A97⋳⪒⋰*⋻-6653661=⋰*⋻72783A3","layer":1},{"info":"⋰*⋻3A34⩤=⋰*⋻-3A34","layer":3},{"info":"⋰*⋻-3A34⊭∹↮=⋰*⋻-3A34","layer":2},{"info":"⋰*⋻4978⋳⪒⋰*⋻2630=⋰*⋻6A84","layer":3},{"info":"⋰*⋻4A31≣⋋=⋰*⋻0","layer":3},{"info":"⋰*⋻6A84⇷⋰*⋻0=⋰*⋻0","layer":2},{"info":"⋰*⋻-3A34⫥∨⫟⋰*⋻0=NaN","layer":1},{"info":"⋰*⋻72783A3↺NaN=NaN","layer":0}]}
{"id":207,"expression_no_base_symbol":"($4286$∼$1679$∲⫓($6240$⫡⨏$1131$))⊴($2995$⨓$2557$)⊴($1782$≋⫹)⪄($1364$⪨≂$1271$)+⇶⊼(⊥$5158$)+⇶⊼($1955$*$5061$≋⫹)","expression":"(⋰*⋻3247∼⋰*⋻1297∲⫓(⋰*⋻4763⫡⨏⋰*⋻939))⊴(⋰*⋻2283⨓⋰*⋻1A15)⊴(⋰*⋻1380≋⫹)⪄(⋰*⋻1030⪨≂⋰*⋻A56)+⇶⊼(⊥⋰*⋻396A)+⇶⊼(⋰*⋻1518*⋰*⋻3891≋⫹)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8225,"operation_count":14,"complexity_ratio":587.5,"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":4286,"base":11},"right_expr":{"type":"numeric_atoms","value":1679,"base":11}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":6240,"base":11},"right_expr":{"type":"numeric_atoms","value":1131,"base":11}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2995,"base":11},"right_expr":{"type":"numeric_atoms","value":2557,"base":11}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1782,"base":11}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1364,"base":11},"right_expr":{"type":"numeric_atoms","value":1271,"base":11}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":5158,"base":11}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1955,"base":11},"right_expr":{"type":"numeric_atoms","value":5061,"base":11}}}}},"used_operators":["SUmda5xLS4","Nsiff2A1zJ","i8ToyICDmI","DyGG3AbaNP","QMFrweE19q","3ViojmjbAp","N41Kp7NANJ","TpPTUOHfaN","sdazOOVcIp","Q3PJZHRvZv","9HNa5Wba9A"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","W4YGzv6Whe"],"result":"⋰*⋻2A98","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4286","layer":4},{"info":"number node, value=1679","layer":4},{"info":"compute binary expreesion, left_input=4286, right_input=1679, 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=6240","layer":4},{"info":"number node, value=1131","layer":4},{"info":"compute binary expreesion, left_input=6240, right_input=1131, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=34245","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=34245, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=2995","layer":4},{"info":"number node, value=2557","layer":4},{"info":"compute binary expreesion, left_input=2995, right_input=2557, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2560","layer":3},{"info":"number node, value=1782","layer":4},{"info":"compute unary expreesion, input=1782, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-3564","layer":3},{"info":"compute binary expreesion, left_input=-2560, right_input=-3564, 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 = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=1364","layer":4},{"info":"number node, value=1271","layer":4},{"info":"compute binary expreesion, left_input=1364, right_input=1271, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=288","layer":3},{"info":"number node, value=5158","layer":4},{"info":"compute unary expreesion, input=5158, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=288, 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=1955","layer":4},{"info":"number node, value=5061","layer":4},{"info":"compute binary expreesion, left_input=1955, right_input=5061, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=9894255","layer":3},{"info":"compute unary expreesion, input=9894255, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-19788510","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-19788510, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻3247∼⋰*⋻1297∲⫓(⋰*⋻4763⫡⨏⋰*⋻939))⊴(⋰*⋻2283⨓⋰*⋻1A15)⊴(⋰*⋻1380≋⫹)⪄(⋰*⋻1030⪨≂⋰*⋻A56)+⇶⊼(⊥⋰*⋻396A)+⇶⊼(⋰*⋻1518*⋰*⋻3891≋⫹)=⋰*⋻2A98","reverse_text":"⋰*⋻2A98=(⋰*⋻3247∼⋰*⋻1297∲⫓(⋰*⋻4763⫡⨏⋰*⋻939))⊴(⋰*⋻2283⨓⋰*⋻1A15)⊴(⋰*⋻1380≋⫹)⪄(⋰*⋻1030⪨≂⋰*⋻A56)+⇶⊼(⊥⋰*⋻396A)+⇶⊼(⋰*⋻1518*⋰*⋻3891≋⫹)","cot":[{"info":"⋰*⋻3247∼⋰*⋻1297=NaN","layer":3},{"info":"⋰*⋻4763⫡⨏⋰*⋻939=⋰*⋻23802","layer":3},{"info":"NaN∲⫓⋰*⋻23802=⋰*⋻0","layer":2},{"info":"⋰*⋻2283⨓⋰*⋻1A15=⋰*⋻-1A18","layer":3},{"info":"⋰*⋻1380≋⫹=⋰*⋻-2750","layer":3},{"info":"⋰*⋻-1A18⊴⋰*⋻-2750=NaN","layer":2},{"info":"⋰*⋻0⊴NaN=NaN","layer":1},{"info":"⋰*⋻1030⪨≂⋰*⋻A56=⋰*⋻242","layer":3},{"info":"⊥⋰*⋻396A=NaN","layer":3},{"info":"⋰*⋻242+⇶⊼NaN=NaN","layer":2},{"info":"⋰*⋻1518*⋰*⋻3891=⋰*⋻5648778","layer":3},{"info":"⋰*⋻5648778≋⫹=⋰*⋻-10196445","layer":2},{"info":"NaN+⇶⊼⋰*⋻-10196445=NaN","layer":1},{"info":"NaN⪄NaN=⋰*⋻2A98","layer":0}]}
{"id":208,"expression_no_base_symbol":"⫛⫱⨽(($1183$⫸⊐$1294$)≧⫂∧(⋗⩬⋾$6243$)⋳⪒((⊥$3592$)↛⩡⫤))","expression":"⫛⫱⨽((⋰*⋻986⫸⊐⋰*⋻A77)≧⫂∧(⋗⩬⋾⋰*⋻4766)⋳⪒((⊥⋰*⋻2776)↛⩡⫤))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1012,"operation_count":7,"complexity_ratio":144.57142857142858,"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":1183,"base":11},"right_expr":{"type":"numeric_atoms","value":1294,"base":11}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":6243,"base":11}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":3592,"base":11}}}}},"used_operators":["DlLNRPXxWL","12rbrZMWeM","Ph9nP6C5qx","mqXw5SEYmG","DpFCA1CohY","FU0Cs4j7VP","Q3PJZHRvZv"],"dependent_operators":["rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1183","layer":4},{"info":"number node, value=1294","layer":4},{"info":"compute binary expreesion, left_input=1183, right_input=1294, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5051","layer":3},{"info":"number node, value=6243","layer":4},{"info":"compute unary expreesion, input=6243, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-18729","layer":3},{"info":"compute binary expreesion, left_input=5051, right_input=-18729, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=23780","layer":2},{"info":"number node, value=3592","layer":4},{"info":"compute unary expreesion, input=3592, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=23780, 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 = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⫛⫱⨽((⋰*⋻986⫸⊐⋰*⋻A77)≧⫂∧(⋗⩬⋾⋰*⋻4766)⋳⪒((⊥⋰*⋻2776)↛⩡⫤))=NaN","reverse_text":"NaN=⫛⫱⨽((⋰*⋻986⫸⊐⋰*⋻A77)≧⫂∧(⋗⩬⋾⋰*⋻4766)⋳⪒((⊥⋰*⋻2776)↛⩡⫤))","cot":[{"info":"⋰*⋻986⫸⊐⋰*⋻A77=⋰*⋻3882","layer":3},{"info":"⋗⩬⋾⋰*⋻4766=⋰*⋻-13087","layer":3},{"info":"⋰*⋻3882≧⫂∧⋰*⋻-13087=⋰*⋻16959","layer":2},{"info":"⊥⋰*⋻2776=NaN","layer":3},{"info":"NaN↛⩡⫤=NaN","layer":2},{"info":"⋰*⋻16959⋳⪒NaN=NaN","layer":1},{"info":"⫛⫱⨽NaN=NaN","layer":0}]}
{"id":209,"expression_no_base_symbol":"⪝⪂⫅($1960$∼$1714$∑⇟⊟($1040$≧⫂∧$4214$)↺($1770$∑⇟⊟$5801$⪒$8001$⪢$5820$))","expression":"⪝⪂⫅(⋰*⋻1522∼⋰*⋻1319∑⇟⊟(⋰*⋻866≧⫂∧⋰*⋻3191)↺(⋰*⋻136A∑⇟⊟⋰*⋻43A4⪒⋰*⋻6014⪢⋰*⋻4411))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6154,"operation_count":8,"complexity_ratio":769.25,"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":1960,"base":11},"right_expr":{"type":"numeric_atoms","value":1714,"base":11}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1040,"base":11},"right_expr":{"type":"numeric_atoms","value":4214,"base":11}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1770,"base":11},"right_expr":{"type":"numeric_atoms","value":5801,"base":11}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":8001,"base":11},"right_expr":{"type":"numeric_atoms","value":5820,"base":11}}}}},"used_operators":["XTarYq4gQB","7j4O788W3g","U7g4x0WXJJ","DyGG3AbaNP","Ph9nP6C5qx","f6k1SAg4EE","dWAJyo7jo9"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=1960","layer":4},{"info":"number node, value=1714","layer":4},{"info":"compute binary expreesion, left_input=1960, right_input=1714, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=1040","layer":4},{"info":"number node, value=4214","layer":4},{"info":"compute binary expreesion, left_input=1040, right_input=4214, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3741","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3741, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=1770","layer":4},{"info":"number node, value=5801","layer":4},{"info":"compute binary expreesion, left_input=1770, right_input=5801, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=8001","layer":4},{"info":"number node, value=5820","layer":4},{"info":"compute binary expreesion, left_input=8001, right_input=5820, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"compute 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 = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⪝⪂⫅(⋰*⋻1522∼⋰*⋻1319∑⇟⊟(⋰*⋻866≧⫂∧⋰*⋻3191)↺(⋰*⋻136A∑⇟⊟⋰*⋻43A4⪒⋰*⋻6014⪢⋰*⋻4411))=NaN","reverse_text":"NaN=⪝⪂⫅(⋰*⋻1522∼⋰*⋻1319∑⇟⊟(⋰*⋻866≧⫂∧⋰*⋻3191)↺(⋰*⋻136A∑⇟⊟⋰*⋻43A4⪒⋰*⋻6014⪢⋰*⋻4411))","cot":[{"info":"⋰*⋻1522∼⋰*⋻1319=NaN","layer":3},{"info":"⋰*⋻866≧⫂∧⋰*⋻3191=⋰*⋻28A1","layer":3},{"info":"NaN∑⇟⊟⋰*⋻28A1=NaN","layer":2},{"info":"⋰*⋻136A∑⇟⊟⋰*⋻43A4=NaN","layer":3},{"info":"⋰*⋻6014⪢⋰*⋻4411=NaN","layer":3},{"info":"NaN⪒NaN=NaN","layer":2},{"info":"NaN↺NaN=NaN","layer":1},{"info":"⪝⪂⫅NaN=NaN","layer":0}]}
{"id":210,"expression_no_base_symbol":"(≉($3942$≦≮≮))⋳⪒($1085$⨎$3034$)⪘⫢(⪝⪂⫅$1316$)∲⫓(↥($5524$+$2243$))⪒(⨵≀≌($2638$+$4911$))","expression":"(≉(⋰*⋻2A64≦≮≮))⋳⪒(⋰*⋻8A7⨎⋰*⋻2309)⪘⫢(⪝⪂⫅⋰*⋻A97)∲⫓(↥(⋰*⋻4172+⋰*⋻175A))⪒(⨵≀≌(⋰*⋻1A89+⋰*⋻3765))","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":333,"operation_count":12,"complexity_ratio":27.75,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":3942,"base":11}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1085,"base":11},"right_expr":{"type":"numeric_atoms","value":3034,"base":11}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1316,"base":11}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":5524,"base":11},"right_expr":{"type":"numeric_atoms","value":2243,"base":11}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2638,"base":11},"right_expr":{"type":"numeric_atoms","value":4911,"base":11}}}}},"used_operators":["i8ToyICDmI","12rbrZMWeM","e1ybzncUwg","D4vGDi5EA2","oacrs7FA3X","rJVOvQCfKK","XTarYq4gQB","f6k1SAg4EE","A8NUZmVepG","W4YGzv6Whe","srAu1WTS94"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3942","layer":4},{"info":"compute unary expreesion, input=3942, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-11826","layer":3},{"info":"compute unary expreesion, input=-11826, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-11826","layer":2},{"info":"number node, value=1085","layer":4},{"info":"number node, value=3034","layer":4},{"info":"compute binary expreesion, left_input=1085, right_input=3034, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3034","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=3034, right_input=-193452, 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=-11826, right_input=-1, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-23938","layer":1},{"info":"number node, value=5524","layer":4},{"info":"number node, value=2243","layer":4},{"info":"compute binary expreesion, left_input=5524, right_input=2243, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7767","layer":3},{"info":"compute unary expreesion, input=7767, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=15","layer":2},{"info":"number node, value=2638","layer":4},{"info":"number node, value=4911","layer":4},{"info":"compute binary expreesion, left_input=2638, right_input=4911, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7549","layer":3},{"info":"compute unary expreesion, input=7549, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-22647","layer":2},{"info":"compute binary expreesion, left_input=15, right_input=-22647, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=22632","layer":1},{"info":"compute binary expreesion, left_input=-23938, right_input=22632, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":0}],"base":11,"result_base":11,"text":"(≉(⋰*⋻2A64≦≮≮))⋳⪒(⋰*⋻8A7⨎⋰*⋻2309)⪘⫢(⪝⪂⫅⋰*⋻A97)∲⫓(↥(⋰*⋻4172+⋰*⋻175A))⪒(⨵≀≌(⋰*⋻1A89+⋰*⋻3765))=⋰*⋻0","reverse_text":"⋰*⋻0=(≉(⋰*⋻2A64≦≮≮))⋳⪒(⋰*⋻8A7⨎⋰*⋻2309)⪘⫢(⪝⪂⫅⋰*⋻A97)∲⫓(↥(⋰*⋻4172+⋰*⋻175A))⪒(⨵≀≌(⋰*⋻1A89+⋰*⋻3765))","cot":[{"info":"⋰*⋻2A64≦≮≮=⋰*⋻-8981","layer":3},{"info":"≉⋰*⋻-8981=⋰*⋻-8981","layer":2},{"info":"⋰*⋻8A7⨎⋰*⋻2309=⋰*⋻2309","layer":3},{"info":"⪝⪂⫅⋰*⋻A97=⋰*⋻-122386","layer":3},{"info":"⋰*⋻2309⪘⫢⋰*⋻-122386=⋰*⋻-1","layer":2},{"info":"⋰*⋻-8981⋳⪒⋰*⋻-1=⋰*⋻-16A92","layer":1},{"info":"⋰*⋻4172+⋰*⋻175A=⋰*⋻5921","layer":3},{"info":"↥⋰*⋻5921=⋰*⋻14","layer":2},{"info":"⋰*⋻1A89+⋰*⋻3765=⋰*⋻5743","layer":3},{"info":"⨵≀≌⋰*⋻5743=⋰*⋻-16019","layer":2},{"info":"⋰*⋻14⪒⋰*⋻-16019=⋰*⋻16005","layer":1},{"info":"⋰*⋻-16A92∲⫓⋰*⋻16005=⋰*⋻0","layer":0}]}
{"id":211,"expression_no_base_symbol":"(+⊝⨔(($1496$∑⇟⊟$3031$)↬($1283$⫥∨⫟$1195$)))⨐⩸⫘(⫓⪴($1125$⫸⊐$8226$))⨰(⊙↵-(⊥$3602$))","expression":"(+⊝⨔((⋰*⋻1140∑⇟⊟⋰*⋻2306)↬(⋰*⋻A67⫥∨⫟⋰*⋻997)))⨐⩸⫘(⫓⪴(⋰*⋻933⫸⊐⋰*⋻61A9))⨰(⊙↵-(⊥⋰*⋻2785))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":33014,"operation_count":10,"complexity_ratio":3301.4,"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":1496,"base":11},"right_expr":{"type":"numeric_atoms","value":3031,"base":11}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1283,"base":11},"right_expr":{"type":"numeric_atoms","value":1195,"base":11}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1125,"base":11},"right_expr":{"type":"numeric_atoms","value":8226,"base":11}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":3602,"base":11}}}}},"used_operators":["fu6greOZ01","DhbWaqg5eL","B5M0gjZbta","U7g4x0WXJJ","KYD54nUTWz","eewbuw0ToL","eLxqMNBOBk","mqXw5SEYmG","oWn0xqSxBt","Q3PJZHRvZv"],"dependent_operators":["3ViojmjbAp","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rGHVDoGpnC","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1496","layer":4},{"info":"number node, value=3031","layer":4},{"info":"compute binary expreesion, left_input=1496, right_input=3031, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1283","layer":4},{"info":"number node, value=1195","layer":4},{"info":"compute binary expreesion, left_input=1283, right_input=1195, 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 = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = 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=1125","layer":4},{"info":"number node, value=8226","layer":4},{"info":"compute binary expreesion, left_input=1125, right_input=8226, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=32779","layer":3},{"info":"compute unary expreesion, input=32779, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1074462841","layer":2},{"info":"number node, value=3602","layer":4},{"info":"compute unary expreesion, input=3602, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1074462841, 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=1522, 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":11,"result_base":11,"text":"(+⊝⨔((⋰*⋻1140∑⇟⊟⋰*⋻2306)↬(⋰*⋻A67⫥∨⫟⋰*⋻997)))⨐⩸⫘(⫓⪴(⋰*⋻933⫸⊐⋰*⋻61A9))⨰(⊙↵-(⊥⋰*⋻2785))=NaN","reverse_text":"NaN=(+⊝⨔((⋰*⋻1140∑⇟⊟⋰*⋻2306)↬(⋰*⋻A67⫥∨⫟⋰*⋻997)))⨐⩸⫘(⫓⪴(⋰*⋻933⫸⊐⋰*⋻61A9))⨰(⊙↵-(⊥⋰*⋻2785))","cot":[{"info":"⋰*⋻1140∑⇟⊟⋰*⋻2306=NaN","layer":3},{"info":"⋰*⋻A67⫥∨⫟⋰*⋻997=NaN","layer":3},{"info":"NaN↬NaN=NaN","layer":2},{"info":"+⊝⨔NaN=⋰*⋻1164","layer":1},{"info":"⋰*⋻933⫸⊐⋰*⋻61A9=⋰*⋻2269A","layer":3},{"info":"⫓⪴⋰*⋻2269A=⋰*⋻501562921","layer":2},{"info":"⊥⋰*⋻2785=NaN","layer":3},{"info":"⊙↵-NaN=NaN","layer":2},{"info":"⋰*⋻501562921⨰NaN=NaN","layer":1},{"info":"⋰*⋻1164⨐⩸⫘NaN=NaN","layer":0}]}
{"id":212,"expression_no_base_symbol":"(⊙↵-($5793$⊉≛↸$1653$))⪛($1560$⪘⫢$8478$/($2114$≦≮≮))∑⇟⊟((↥$5080$)∑⇟⊟($3195$⊦⊿)⫥∨⫟(≤/(⊙↵-$4641$)))","expression":"(⊙↵-(⋰*⋻4397⊉≛↸⋰*⋻1273))⪛(⋰*⋻1199⪘⫢⋰*⋻6408/(⋰*⋻1652≦≮≮))∑⇟⊟((↥⋰*⋻38A9)∑⇟⊟(⋰*⋻2445⊦⊿)⫥∨⫟(≤/(⊙↵-⋰*⋻353A)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":16606,"operation_count":13,"complexity_ratio":1277.3846153846155,"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":5793,"base":11},"right_expr":{"type":"numeric_atoms","value":1653,"base":11}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1560,"base":11},"right_expr":{"type":"numeric_atoms","value":8478,"base":11}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":2114,"base":11}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":5080,"base":11}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":3195,"base":11}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":4641,"base":11}}}}},"used_operators":["U7g4x0WXJJ","uFcxV4UQCh","oWn0xqSxBt","DZ8iAZOCBD","XhwjNDsVaA","oacrs7FA3X","D4vGDi5EA2","KYD54nUTWz","A8NUZmVepG","14qkJME0vr","eLAdDNolq6"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5793","layer":4},{"info":"number node, value=1653","layer":4},{"info":"compute binary expreesion, left_input=5793, right_input=1653, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=11586","layer":3},{"info":"compute unary expreesion, input=11586, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":2},{"info":"number node, value=1560","layer":4},{"info":"number node, value=8478","layer":4},{"info":"compute binary expreesion, left_input=1560, right_input=8478, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2996","layer":3},{"info":"number node, value=2114","layer":4},{"info":"compute unary expreesion, input=2114, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-6342","layer":3},{"info":"compute binary expreesion, left_input=2996, right_input=-6342, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=-1, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=0","layer":1},{"info":"number node, value=5080","layer":4},{"info":"compute unary expreesion, input=5080, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=31","layer":3},{"info":"number node, value=3195","layer":4},{"info":"compute unary expreesion, input=3195, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-9664","layer":3},{"info":"compute binary expreesion, left_input=31, right_input=-9664, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=4641","layer":4},{"info":"compute unary expreesion, input=4641, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute unary expreesion, input=-1, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=485","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=485, 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 = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⊙↵-(⋰*⋻4397⊉≛↸⋰*⋻1273))⪛(⋰*⋻1199⪘⫢⋰*⋻6408/(⋰*⋻1652≦≮≮))∑⇟⊟((↥⋰*⋻38A9)∑⇟⊟(⋰*⋻2445⊦⊿)⫥∨⫟(≤/(⊙↵-⋰*⋻353A)))=NaN","reverse_text":"NaN=(⊙↵-(⋰*⋻4397⊉≛↸⋰*⋻1273))⪛(⋰*⋻1199⪘⫢⋰*⋻6408/(⋰*⋻1652≦≮≮))∑⇟⊟((↥⋰*⋻38A9)∑⇟⊟(⋰*⋻2445⊦⊿)⫥∨⫟(≤/(⊙↵-⋰*⋻353A)))","cot":[{"info":"⋰*⋻4397⊉≛↸⋰*⋻1273=⋰*⋻8783","layer":3},{"info":"⊙↵-⋰*⋻8783=⋰*⋻-1","layer":2},{"info":"⋰*⋻1199⪘⫢⋰*⋻6408=⋰*⋻2284","layer":3},{"info":"⋰*⋻1652≦≮≮=⋰*⋻-4846","layer":3},{"info":"⋰*⋻2284/⋰*⋻-4846=⋰*⋻-1","layer":2},{"info":"⋰*⋻-1⪛⋰*⋻-1=⋰*⋻0","layer":1},{"info":"↥⋰*⋻38A9=⋰*⋻29","layer":3},{"info":"⋰*⋻2445⊦⊿=⋰*⋻-7296","layer":3},{"info":"⋰*⋻29∑⇟⊟⋰*⋻-7296=NaN","layer":2},{"info":"⊙↵-⋰*⋻353A=⋰*⋻-1","layer":3},{"info":"≤/⋰*⋻-1=⋰*⋻401","layer":2},{"info":"NaN⫥∨⫟⋰*⋻401=NaN","layer":1},{"info":"⋰*⋻0∑⇟⊟NaN=NaN","layer":0}]}
{"id":213,"expression_no_base_symbol":"($1916$≎⊠⪸$3373$↺$1480$⨰$3229$)⪛($1452$⪘⫢$1090$≣⋋)∑⇟⊟((($2481$⊉≛↸$1275$)⫌⩹⨱)⋥≓≎($3769$-$1320$)+⇶⊼(↣≠⋷$1018$))","expression":"(⋰*⋻1492≎⊠⪸⋰*⋻2597↺⋰*⋻1126⨰⋰*⋻2476)⪛(⋰*⋻1100⪘⫢⋰*⋻901≣⋋)∑⇟⊟(((⋰*⋻1956⊉≛↸⋰*⋻A5A)⫌⩹⨱)⋥≓≎(⋰*⋻2917-⋰*⋻AA0)+⇶⊼(↣≠⋷⋰*⋻846))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":830,"operation_count":13,"complexity_ratio":63.84615384615385,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1916,"base":11},"right_expr":{"type":"numeric_atoms","value":3373,"base":11}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1480,"base":11},"right_expr":{"type":"numeric_atoms","value":3229,"base":11}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1452,"base":11},"right_expr":{"type":"numeric_atoms","value":1090,"base":11}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2481,"base":11},"right_expr":{"type":"numeric_atoms","value":1275,"base":11}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3769,"base":11},"right_expr":{"type":"numeric_atoms","value":1320,"base":11}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1018,"base":11}}}}},"used_operators":["U7g4x0WXJJ","uFcxV4UQCh","7j4O788W3g","bJkvcejdHO","eewbuw0ToL","Tcnh7f0tEr","oacrs7FA3X","Qy55tPpLXF","EBcxylXtPf","DZ8iAZOCBD","TpPTUOHfaN","rysDP5nf3Z","Asc51vEJeQ"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1916","layer":4},{"info":"number node, value=3373","layer":4},{"info":"compute binary expreesion, left_input=1916, right_input=3373, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=495771","layer":3},{"info":"number node, value=1480","layer":4},{"info":"number node, value=3229","layer":4},{"info":"compute binary expreesion, left_input=1480, right_input=3229, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1739","layer":3},{"info":"compute binary expreesion, left_input=495771, right_input=-1739, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-1739","layer":2},{"info":"number node, value=1452","layer":4},{"info":"number node, value=1090","layer":4},{"info":"compute binary expreesion, left_input=1452, right_input=1090, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2780","layer":3},{"info":"compute unary expreesion, input=2780, 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=-1739, right_input=0, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"number node, value=2481","layer":4},{"info":"number node, value=1275","layer":4},{"info":"compute binary expreesion, left_input=2481, right_input=1275, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4962","layer":3},{"info":"compute unary expreesion, input=4962, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=11325","layer":2},{"info":"number node, value=3769","layer":4},{"info":"number node, value=1320","layer":4},{"info":"compute binary expreesion, left_input=3769, right_input=1320, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2449","layer":3},{"info":"number node, value=1018","layer":4},{"info":"compute unary expreesion, input=1018, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2449, 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=11325, 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 = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1492≎⊠⪸⋰*⋻2597↺⋰*⋻1126⨰⋰*⋻2476)⪛(⋰*⋻1100⪘⫢⋰*⋻901≣⋋)∑⇟⊟(((⋰*⋻1956⊉≛↸⋰*⋻A5A)⫌⩹⨱)⋥≓≎(⋰*⋻2917-⋰*⋻AA0)+⇶⊼(↣≠⋷⋰*⋻846))=NaN","reverse_text":"NaN=(⋰*⋻1492≎⊠⪸⋰*⋻2597↺⋰*⋻1126⨰⋰*⋻2476)⪛(⋰*⋻1100⪘⫢⋰*⋻901≣⋋)∑⇟⊟(((⋰*⋻1956⊉≛↸⋰*⋻A5A)⫌⩹⨱)⋥≓≎(⋰*⋻2917-⋰*⋻AA0)+⇶⊼(↣≠⋷⋰*⋻846))","cot":[{"info":"⋰*⋻1492≎⊠⪸⋰*⋻2597=⋰*⋻309531","layer":3},{"info":"⋰*⋻1126⨰⋰*⋻2476=⋰*⋻-1341","layer":3},{"info":"⋰*⋻309531↺⋰*⋻-1341=⋰*⋻-1341","layer":2},{"info":"⋰*⋻1100⪘⫢⋰*⋻901=⋰*⋻20A8","layer":3},{"info":"⋰*⋻20A8≣⋋=⋰*⋻0","layer":2},{"info":"⋰*⋻-1341⪛⋰*⋻0=NaN","layer":1},{"info":"⋰*⋻1956⊉≛↸⋰*⋻A5A=⋰*⋻3801","layer":3},{"info":"⋰*⋻3801⫌⩹⨱=⋰*⋻8566","layer":2},{"info":"⋰*⋻2917-⋰*⋻AA0=⋰*⋻1927","layer":3},{"info":"↣≠⋷⋰*⋻846=NaN","layer":3},{"info":"⋰*⋻1927+⇶⊼NaN=NaN","layer":2},{"info":"⋰*⋻8566⋥≓≎NaN=NaN","layer":1},{"info":"NaN∑⇟⊟NaN=NaN","layer":0}]}
{"id":214,"expression_no_base_symbol":"(⫛⫱⨽(($1164$⋳⪒$5786$)⊴($2804$⇷$1840$)))≹⇙⪍(((⨑⩽⪐$1992$)∑⇟⊟($2706$⨽$2293$))⨟⋌⩍(($3772$⪨≂$2155$)⩤))","expression":"(⫛⫱⨽((⋰*⋻969⋳⪒⋰*⋻4390)⊴(⋰*⋻211A⇷⋰*⋻1423)))≹⇙⪍(((⨑⩽⪐⋰*⋻1551)∑⇟⊟(⋰*⋻2040⨽⋰*⋻17A5))⨟⋌⩍((⋰*⋻291A⪨≂⋰*⋻168A)⩤))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":47345,"operation_count":11,"complexity_ratio":4304.090909090909,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1164,"base":11},"right_expr":{"type":"numeric_atoms","value":5786,"base":11}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2804,"base":11},"right_expr":{"type":"numeric_atoms","value":1840,"base":11}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1992,"base":11}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2706,"base":11},"right_expr":{"type":"numeric_atoms","value":2293,"base":11}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3772,"base":11},"right_expr":{"type":"numeric_atoms","value":2155,"base":11}}}}},"used_operators":["AHs5Up7iyr","DlLNRPXxWL","Nsiff2A1zJ","12rbrZMWeM","mp7IySMOzn","rGHVDoGpnC","U7g4x0WXJJ","AF7qkfDlqP","8HhzD0ZcuI","Z2TMIBDE3Q","sdazOOVcIp"],"dependent_operators":["dWAJyo7jo9","rGHVDoGpnC","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","Tcnh7f0tEr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1164","layer":4},{"info":"number node, value=5786","layer":4},{"info":"compute binary expreesion, left_input=1164, right_input=5786, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-3745","layer":3},{"info":"number node, value=2804","layer":4},{"info":"number node, value=1840","layer":4},{"info":"compute binary expreesion, left_input=2804, right_input=1840, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3680","layer":3},{"info":"compute binary expreesion, left_input=-3745, right_input=3680, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢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=1992","layer":4},{"info":"compute unary expreesion, input=1992, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1719","layer":3},{"info":"number node, value=2706","layer":4},{"info":"number node, value=2293","layer":4},{"info":"compute binary expreesion, left_input=2706, right_input=2293, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-21972873","layer":3},{"info":"compute binary expreesion, left_input=-1719, right_input=-21972873, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=3772","layer":4},{"info":"number node, value=2155","layer":4},{"info":"compute binary expreesion, left_input=3772, right_input=2155, op_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":3},{"info":"compute unary expreesion, input=3336, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-3336","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3336, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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":11,"result_base":11,"text":"(⫛⫱⨽((⋰*⋻969⋳⪒⋰*⋻4390)⊴(⋰*⋻211A⇷⋰*⋻1423)))≹⇙⪍(((⨑⩽⪐⋰*⋻1551)∑⇟⊟(⋰*⋻2040⨽⋰*⋻17A5))⨟⋌⩍((⋰*⋻291A⪨≂⋰*⋻168A)⩤))=NaN","reverse_text":"NaN=(⫛⫱⨽((⋰*⋻969⋳⪒⋰*⋻4390)⊴(⋰*⋻211A⇷⋰*⋻1423)))≹⇙⪍(((⨑⩽⪐⋰*⋻1551)∑⇟⊟(⋰*⋻2040⨽⋰*⋻17A5))⨟⋌⩍((⋰*⋻291A⪨≂⋰*⋻168A)⩤))","cot":[{"info":"⋰*⋻969⋳⪒⋰*⋻4390=⋰*⋻-28A5","layer":3},{"info":"⋰*⋻211A⇷⋰*⋻1423=⋰*⋻2846","layer":3},{"info":"⋰*⋻-28A5⊴⋰*⋻2846=NaN","layer":2},{"info":"⫛⫱⨽NaN=NaN","layer":1},{"info":"⨑⩽⪐⋰*⋻1551=⋰*⋻-1323","layer":3},{"info":"⋰*⋻2040⨽⋰*⋻17A5=⋰*⋻-114485AA","layer":3},{"info":"⋰*⋻-1323∑⇟⊟⋰*⋻-114485AA=NaN","layer":2},{"info":"⋰*⋻291A⪨≂⋰*⋻168A=⋰*⋻2563","layer":3},{"info":"⋰*⋻2563⩤=⋰*⋻-2563","layer":2},{"info":"NaN⨟⋌⩍⋰*⋻-2563=NaN","layer":1},{"info":"NaN≹⇙⪍NaN=NaN","layer":0}]}
{"id":215,"expression_no_base_symbol":"≦∁((⩦⩻⨪$1853$)↛⩡⫤)+⇶⊼($3091$⨽$8012$⨳⩥⨓($1031$⪨≂$3826$))","expression":"≦∁((⩦⩻⨪⋰*⋻1435)↛⩡⫤)+⇶⊼(⋰*⋻2360⨽⋰*⋻6024⨳⩥⨓(⋰*⋻858⪨≂⋰*⋻2969))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":8806,"operation_count":7,"complexity_ratio":1258.0,"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":1853,"base":11}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3091,"base":11},"right_expr":{"type":"numeric_atoms","value":8012,"base":11}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1031,"base":11},"right_expr":{"type":"numeric_atoms","value":3826,"base":11}}}}},"used_operators":["9ICcGScMcE","TpPTUOHfaN","FU0Cs4j7VP","2td37pGCOC","nCS4ZIUYfx","8HhzD0ZcuI","sdazOOVcIp"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","AHs5Up7iyr","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1853","layer":4},{"info":"compute unary expreesion, input=1853, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1853","layer":3},{"info":"compute unary expreesion, input=1853, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-275892","layer":2},{"info":"number node, value=3091","layer":4},{"info":"number node, value=8012","layer":4},{"info":"compute binary expreesion, left_input=3091, right_input=8012, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-28685565","layer":3},{"info":"number node, value=1031","layer":4},{"info":"number node, value=3826","layer":4},{"info":"compute binary expreesion, left_input=1031, right_input=3826, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-5488","layer":3},{"info":"compute binary expreesion, left_input=-28685565, right_input=-5488, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=28680077","layer":2},{"info":"compute binary expreesion, left_input=-275892, right_input=28680077, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"≦∁((⩦⩻⨪⋰*⋻1435)↛⩡⫤)+⇶⊼(⋰*⋻2360⨽⋰*⋻6024⨳⩥⨓(⋰*⋻858⪨≂⋰*⋻2969))=NaN","reverse_text":"NaN=≦∁((⩦⩻⨪⋰*⋻1435)↛⩡⫤)+⇶⊼(⋰*⋻2360⨽⋰*⋻6024⨳⩥⨓(⋰*⋻858⪨≂⋰*⋻2969))","cot":[{"info":"⩦⩻⨪⋰*⋻1435=⋰*⋻1435","layer":3},{"info":"⋰*⋻1435↛⩡⫤=⋰*⋻-179311","layer":2},{"info":"⋰*⋻2360⨽⋰*⋻6024=⋰*⋻-15212987","layer":3},{"info":"⋰*⋻858⪨≂⋰*⋻2969=⋰*⋻-413A","layer":3},{"info":"⋰*⋻-15212987⨳⩥⨓⋰*⋻-413A=⋰*⋻15209848","layer":2},{"info":"⋰*⋻-179311+⇶⊼⋰*⋻15209848=NaN","layer":1},{"info":"≦∁NaN=NaN","layer":0}]}
{"id":216,"expression_no_base_symbol":"(↯⪼(⫓⪴$1506$))⨓((↯⪼$1845$)↺($1459$⊭∹↮))⇋≉","expression":"(↯⪼(⫓⪴⋰*⋻114A))⨓((↯⪼⋰*⋻1428)↺(⋰*⋻1107⊭∹↮))⇋≉","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4503,"operation_count":7,"complexity_ratio":643.2857142857143,"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":1506,"base":11}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1845,"base":11}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1459,"base":11}}}}},"used_operators":["XIabStNQrY","3ViojmjbAp","8jW3W4yZS5","eLxqMNBOBk","7j4O788W3g","xNBdhnnwKq"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C"],"result":"⋰*⋻-4510","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1506","layer":4},{"info":"compute unary expreesion, input=1506, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=2268036","layer":3},{"info":"compute unary expreesion, input=2268036, 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=1845","layer":4},{"info":"compute unary expreesion, input=1845, 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=1459","layer":4},{"info":"compute unary expreesion, input=1459, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2918","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=2918, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2918","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=2918, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2921","layer":1},{"info":"compute unary expreesion, input=-2921, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-5940","layer":0}],"base":11,"result_base":11,"text":"(↯⪼(⫓⪴⋰*⋻114A))⨓((↯⪼⋰*⋻1428)↺(⋰*⋻1107⊭∹↮))⇋≉=⋰*⋻-4510","reverse_text":"⋰*⋻-4510=(↯⪼(⫓⪴⋰*⋻114A))⨓((↯⪼⋰*⋻1428)↺(⋰*⋻1107⊭∹↮))⇋≉","cot":[{"info":"⫓⪴⋰*⋻114A=⋰*⋻130A011","layer":3},{"info":"↯⪼⋰*⋻130A011=⋰*⋻-1A","layer":2},{"info":"↯⪼⋰*⋻1428=⋰*⋻-1A","layer":3},{"info":"⋰*⋻1107⊭∹↮=⋰*⋻2213","layer":3},{"info":"⋰*⋻-1A↺⋰*⋻2213=⋰*⋻2213","layer":2},{"info":"⋰*⋻-1A⨓⋰*⋻2213=⋰*⋻-2216","layer":1},{"info":"⋰*⋻-2216⇋≉=⋰*⋻-4510","layer":0}]}
{"id":217,"expression_no_base_symbol":"⪝⪂⫅(($1918$⨽$1004$)≭($1986$/$1035$))⪮%⊝(($9112$≦≮≮)⨎($1079$⋷$3318$))","expression":"⪝⪂⫅((⋰*⋻1494⨽⋰*⋻833)≭(⋰*⋻1546/⋰*⋻861))⪮%⊝((⋰*⋻6934≦≮≮)⨎(⋰*⋻8A1⋷⋰*⋻2547))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7402818,"operation_count":8,"complexity_ratio":925352.25,"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":1918,"base":11},"right_expr":{"type":"numeric_atoms","value":1004,"base":11}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1986,"base":11},"right_expr":{"type":"numeric_atoms","value":1035,"base":11}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":9112,"base":11}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1079,"base":11},"right_expr":{"type":"numeric_atoms","value":3318,"base":11}}}}},"used_operators":["XTarYq4gQB","IWmyXbctLI","rxpJgHHUmx","8HhzD0ZcuI","XhwjNDsVaA","rJVOvQCfKK","D4vGDi5EA2","23Mk6UjR3U"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","AHs5Up7iyr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1918","layer":4},{"info":"number node, value=1004","layer":4},{"info":"compute binary expreesion, left_input=1918, right_input=1004, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-11037870","layer":3},{"info":"number node, value=1986","layer":4},{"info":"number node, value=1035","layer":4},{"info":"compute binary expreesion, left_input=1986, right_input=1035, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=-11037870, right_input=1, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=9112","layer":4},{"info":"compute unary expreesion, input=9112, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-27336","layer":3},{"info":"number node, value=1079","layer":4},{"info":"number node, value=3318","layer":4},{"info":"compute binary expreesion, left_input=1079, right_input=3318, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=5557","layer":3},{"info":"compute binary expreesion, left_input=-27336, right_input=5557, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5557","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5557, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢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":11,"result_base":11,"text":"⪝⪂⫅((⋰*⋻1494⨽⋰*⋻833)≭(⋰*⋻1546/⋰*⋻861))⪮%⊝((⋰*⋻6934≦≮≮)⨎(⋰*⋻8A1⋷⋰*⋻2547))=NaN","reverse_text":"NaN=⪝⪂⫅((⋰*⋻1494⨽⋰*⋻833)≭(⋰*⋻1546/⋰*⋻861))⪮%⊝((⋰*⋻6934≦≮≮)⨎(⋰*⋻8A1⋷⋰*⋻2547))","cot":[{"info":"⋰*⋻1494⨽⋰*⋻833=⋰*⋻-6259A08","layer":3},{"info":"⋰*⋻1546/⋰*⋻861=⋰*⋻1","layer":3},{"info":"⋰*⋻-6259A08≭⋰*⋻1=NaN","layer":2},{"info":"⋰*⋻6934≦≮≮=⋰*⋻-195A1","layer":3},{"info":"⋰*⋻8A1⋷⋰*⋻2547=⋰*⋻41A2","layer":3},{"info":"⋰*⋻-195A1⨎⋰*⋻41A2=⋰*⋻41A2","layer":2},{"info":"NaN⪮%⊝⋰*⋻41A2=NaN","layer":1},{"info":"⪝⪂⫅NaN=NaN","layer":0}]}
{"id":218,"expression_no_base_symbol":"(+⊝⨔(($1528$⫥∨⫟$3315$)≭($2875$⨐⩸⫘$6861$)))⪐","expression":"(+⊝⨔((⋰*⋻116A⫥∨⫟⋰*⋻2544)≭(⋰*⋻2184⨐⩸⫘⋰*⋻5178)))⪐","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":178,"operation_count":5,"complexity_ratio":35.6,"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":1528,"base":11},"right_expr":{"type":"numeric_atoms","value":3315,"base":11}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2875,"base":11},"right_expr":{"type":"numeric_atoms","value":6861,"base":11}}}}},"used_operators":["eH2TOUuTDT","DhbWaqg5eL","rxpJgHHUmx","KYD54nUTWz","fu6greOZ01"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC","3ViojmjbAp"],"result":"⋰*⋻2318","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=1528","layer":4},{"info":"number node, value=3315","layer":4},{"info":"compute binary expreesion, left_input=1528, right_input=3315, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=2875","layer":4},{"info":"number node, value=6861","layer":4},{"info":"compute binary expreesion, left_input=2875, right_input=6861, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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 = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":1},{"info":"compute unary expreesion, input=1522, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=3044","layer":0}],"base":11,"result_base":11,"text":"(+⊝⨔((⋰*⋻116A⫥∨⫟⋰*⋻2544)≭(⋰*⋻2184⨐⩸⫘⋰*⋻5178)))⪐=⋰*⋻2318","reverse_text":"⋰*⋻2318=(+⊝⨔((⋰*⋻116A⫥∨⫟⋰*⋻2544)≭(⋰*⋻2184⨐⩸⫘⋰*⋻5178)))⪐","cot":[{"info":"⋰*⋻116A⫥∨⫟⋰*⋻2544=NaN","layer":3},{"info":"⋰*⋻2184⨐⩸⫘⋰*⋻5178=NaN","layer":3},{"info":"NaN≭NaN=NaN","layer":2},{"info":"+⊝⨔NaN=⋰*⋻1164","layer":1},{"info":"⋰*⋻1164⪐=⋰*⋻2318","layer":0}]}
{"id":219,"expression_no_base_symbol":"⨵≀≌(⫓⪴(↣≠⋷($6066$⩚⊴⇥$2445$)))","expression":"⨵≀≌(⫓⪴(↣≠⋷(⋰*⋻4615⩚⊴⇥⋰*⋻1923)))","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":6066,"base":11},"right_expr":{"type":"numeric_atoms","value":2445,"base":11}}}}},"used_operators":["srAu1WTS94","eLxqMNBOBk","Asc51vEJeQ","NTOWxs364D"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","9HNa5Wba9A","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6066","layer":4},{"info":"number node, value=2445","layer":4},{"info":"compute binary expreesion, left_input=6066, right_input=2445, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8632","layer":3},{"info":"compute unary expreesion, input=-8632, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":1},{"info":"compute 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":11,"result_base":11,"text":"⨵≀≌(⫓⪴(↣≠⋷(⋰*⋻4615⩚⊴⇥⋰*⋻1923)))=NaN","reverse_text":"NaN=⨵≀≌(⫓⪴(↣≠⋷(⋰*⋻4615⩚⊴⇥⋰*⋻1923)))","cot":[{"info":"⋰*⋻4615⩚⊴⇥⋰*⋻1923=⋰*⋻-6538","layer":3},{"info":"↣≠⋷⋰*⋻-6538=NaN","layer":2},{"info":"⫓⪴NaN=NaN","layer":1},{"info":"⨵≀≌NaN=NaN","layer":0}]}
{"id":220,"expression_no_base_symbol":"(($1394$⊉≛↸$1169$)≫≃)⋥≓≎($1723$∀⇚≩$1887$⪨≂$3252$∑⇟⊟$1994$)↪⪝","expression":"((⋰*⋻1058⊉≛↸⋰*⋻973)≫≃)⋥≓≎(⋰*⋻1327∀⇚≩⋰*⋻1466⪨≂⋰*⋻2497∑⇟⊟⋰*⋻1553)↪⪝","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":12085,"operation_count":7,"complexity_ratio":1726.4285714285713,"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":1394,"base":11},"right_expr":{"type":"numeric_atoms","value":1169,"base":11}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1723,"base":11},"right_expr":{"type":"numeric_atoms","value":1887,"base":11}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3252,"base":11},"right_expr":{"type":"numeric_atoms","value":1994,"base":11}}}}},"used_operators":["l07mrZUIn9","Qy55tPpLXF","X99M06cbEe","DZ8iAZOCBD","sdazOOVcIp","LRNGc0VcxI","U7g4x0WXJJ"],"dependent_operators":["9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=1394","layer":4},{"info":"number node, value=1169","layer":4},{"info":"compute binary expreesion, left_input=1394, right_input=1169, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2788","layer":3},{"info":"compute unary expreesion, input=2788, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=6977","layer":2},{"info":"number node, value=1723","layer":4},{"info":"number node, value=1887","layer":4},{"info":"compute binary expreesion, left_input=1723, right_input=1887, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=3252","layer":4},{"info":"number node, value=1994","layer":4},{"info":"compute binary expreesion, left_input=3252, right_input=1994, 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":"compute binary expreesion, left_input=6977, 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 = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1058⊉≛↸⋰*⋻973)≫≃)⋥≓≎(⋰*⋻1327∀⇚≩⋰*⋻1466⪨≂⋰*⋻2497∑⇟⊟⋰*⋻1553)↪⪝=NaN","reverse_text":"NaN=((⋰*⋻1058⊉≛↸⋰*⋻973)≫≃)⋥≓≎(⋰*⋻1327∀⇚≩⋰*⋻1466⪨≂⋰*⋻2497∑⇟⊟⋰*⋻1553)↪⪝","cot":[{"info":"⋰*⋻1058⊉≛↸⋰*⋻973=⋰*⋻2105","layer":3},{"info":"⋰*⋻2105≫≃=⋰*⋻5273","layer":2},{"info":"⋰*⋻1327∀⇚≩⋰*⋻1466=NaN","layer":3},{"info":"⋰*⋻2497∑⇟⊟⋰*⋻1553=NaN","layer":3},{"info":"NaN⪨≂NaN=NaN","layer":2},{"info":"⋰*⋻5273⋥≓≎NaN=NaN","layer":1},{"info":"NaN↪⪝=NaN","layer":0}]}
{"id":221,"expression_no_base_symbol":"≤/(⫛⫱⨽(($3303$⪒$5425$)≭$3362$⩷∴$2815$))","expression":"≤/(⫛⫱⨽((⋰*⋻2533⪒⋰*⋻4092)≭⋰*⋻2587⩷∴⋰*⋻212A))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":923,"operation_count":5,"complexity_ratio":184.6,"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":3303,"base":11},"right_expr":{"type":"numeric_atoms","value":5425,"base":11}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3362,"base":11},"right_expr":{"type":"numeric_atoms","value":2815,"base":11}}}}},"used_operators":["eLAdDNolq6","DlLNRPXxWL","rxpJgHHUmx","f6k1SAg4EE","9FxExcQeMw"],"dependent_operators":["rysDP5nf3Z","rGHVDoGpnC","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3303","layer":4},{"info":"number node, value=5425","layer":4},{"info":"compute binary expreesion, left_input=3303, right_input=5425, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8728","layer":3},{"info":"number node, value=3362","layer":4},{"info":"number node, value=2815","layer":4},{"info":"compute binary expreesion, left_input=3362, right_input=2815, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1062","layer":3},{"info":"compute binary expreesion, left_input=-8728, right_input=1062, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"≤/(⫛⫱⨽((⋰*⋻2533⪒⋰*⋻4092)≭⋰*⋻2587⩷∴⋰*⋻212A))=NaN","reverse_text":"NaN=≤/(⫛⫱⨽((⋰*⋻2533⪒⋰*⋻4092)≭⋰*⋻2587⩷∴⋰*⋻212A))","cot":[{"info":"⋰*⋻2533⪒⋰*⋻4092=⋰*⋻-6615","layer":3},{"info":"⋰*⋻2587⩷∴⋰*⋻212A=⋰*⋻886","layer":3},{"info":"⋰*⋻-6615≭⋰*⋻886=NaN","layer":2},{"info":"⫛⫱⨽NaN=NaN","layer":1},{"info":"≤/NaN=NaN","layer":0}]}
{"id":222,"expression_no_base_symbol":"(((↥$4962$)≦≮≮)⊉≛↸($6979$⋝⋈⪟$2965$⋷$1969$⩨$1153$))⩚⊴⇥(↔($6040$⫥∨⫟$1030$))⇷($1206$≹⇙⪍$4795$⨽$1772$⨽$4356$)","expression":"(((↥⋰*⋻3801)≦≮≮)⊉≛↸(⋰*⋻5275⋝⋈⪟⋰*⋻2256⋷⋰*⋻1530⩨⋰*⋻959))⩚⊴⇥(↔(⋰*⋻45A1⫥∨⫟⋰*⋻857))⇷(⋰*⋻9A7≹⇙⪍⋰*⋻366A⨽⋰*⋻1371⨽⋰*⋻3300)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3965,"operation_count":13,"complexity_ratio":305.0,"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":4962,"base":11}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":6979,"base":11},"right_expr":{"type":"numeric_atoms","value":2965,"base":11}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1969,"base":11},"right_expr":{"type":"numeric_atoms","value":1153,"base":11}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":6040,"base":11},"right_expr":{"type":"numeric_atoms","value":1030,"base":11}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1206,"base":11},"right_expr":{"type":"numeric_atoms","value":4795,"base":11}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1772,"base":11},"right_expr":{"type":"numeric_atoms","value":4356,"base":11}}}}},"used_operators":["NTOWxs364D","DZ8iAZOCBD","D4vGDi5EA2","A8NUZmVepG","23Mk6UjR3U","2DDjHMKMc0","2DlMacCsIx","mp7IySMOzn","ruOEQAzv1W","KYD54nUTWz","8HhzD0ZcuI","AHs5Up7iyr"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","8HhzD0ZcuI","rGHVDoGpnC","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4962","layer":4},{"info":"compute unary expreesion, input=4962, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=15","layer":3},{"info":"compute unary expreesion, input=15, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-45","layer":2},{"info":"number node, value=6979","layer":4},{"info":"number node, value=2965","layer":4},{"info":"compute binary expreesion, left_input=6979, right_input=2965, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6979","layer":3},{"info":"number node, value=1969","layer":4},{"info":"number node, value=1153","layer":4},{"info":"compute binary expreesion, left_input=1969, right_input=1153, 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=6979, right_input=0, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-6979","layer":2},{"info":"compute binary expreesion, left_input=-45, right_input=-6979, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-90","layer":1},{"info":"number node, value=6040","layer":4},{"info":"number node, value=1030","layer":4},{"info":"compute binary expreesion, left_input=6040, right_input=1030, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":2},{"info":"number node, value=1206","layer":4},{"info":"number node, value=4795","layer":4},{"info":"compute binary expreesion, left_input=1206, right_input=4795, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=1772","layer":4},{"info":"number node, value=4356","layer":4},{"info":"compute binary expreesion, left_input=1772, right_input=4356, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-9431706","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-9431706, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-90, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((↥⋰*⋻3801)≦≮≮)⊉≛↸(⋰*⋻5275⋝⋈⪟⋰*⋻2256⋷⋰*⋻1530⩨⋰*⋻959))⩚⊴⇥(↔(⋰*⋻45A1⫥∨⫟⋰*⋻857))⇷(⋰*⋻9A7≹⇙⪍⋰*⋻366A⨽⋰*⋻1371⨽⋰*⋻3300)=NaN","reverse_text":"NaN=(((↥⋰*⋻3801)≦≮≮)⊉≛↸(⋰*⋻5275⋝⋈⪟⋰*⋻2256⋷⋰*⋻1530⩨⋰*⋻959))⩚⊴⇥(↔(⋰*⋻45A1⫥∨⫟⋰*⋻857))⇷(⋰*⋻9A7≹⇙⪍⋰*⋻366A⨽⋰*⋻1371⨽⋰*⋻3300)","cot":[{"info":"↥⋰*⋻3801=⋰*⋻14","layer":3},{"info":"⋰*⋻14≦≮≮=⋰*⋻-41","layer":2},{"info":"⋰*⋻5275⋝⋈⪟⋰*⋻2256=⋰*⋻5275","layer":3},{"info":"⋰*⋻1530⩨⋰*⋻959=⋰*⋻0","layer":3},{"info":"⋰*⋻5275⋷⋰*⋻0=⋰*⋻-5275","layer":2},{"info":"⋰*⋻-41⊉≛↸⋰*⋻-5275=⋰*⋻-82","layer":1},{"info":"⋰*⋻45A1⫥∨⫟⋰*⋻857=NaN","layer":3},{"info":"↔NaN=⋰*⋻-112","layer":2},{"info":"⋰*⋻9A7≹⇙⪍⋰*⋻366A=NaN","layer":3},{"info":"⋰*⋻1371⨽⋰*⋻3300=⋰*⋻-53621A9","layer":3},{"info":"NaN⨽⋰*⋻-53621A9=NaN","layer":2},{"info":"⋰*⋻-112⇷NaN=NaN","layer":1},{"info":"⋰*⋻-82⩚⊴⇥NaN=NaN","layer":0}]}
{"id":223,"expression_no_base_symbol":"(⨈⫕($1297$⋥≓≎$2178$)∼(↣≠⋷$7870$))⩷∴($2691$≭$5074$⫸⊐(-$1263$))∑⇟⊟(≦∁(⋗⩬⋾$8317$))","expression":"(⨈⫕(⋰*⋻A7A⋥≓≎⋰*⋻1700)∼(↣≠⋷⋰*⋻5A05))⩷∴(⋰*⋻2027≭⋰*⋻38A3⫸⊐(-⋰*⋻A49))∑⇟⊟(≦∁(⋗⩬⋾⋰*⋻6281))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5067,"operation_count":11,"complexity_ratio":460.6363636363636,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1297,"base":11},"right_expr":{"type":"numeric_atoms","value":2178,"base":11}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":7870,"base":11}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2691,"base":11},"right_expr":{"type":"numeric_atoms","value":5074,"base":11}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1263,"base":11}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":8317,"base":11}}}}},"used_operators":["9FxExcQeMw","megm06wKyl","DyGG3AbaNP","Qy55tPpLXF","Asc51vEJeQ","U7g4x0WXJJ","mqXw5SEYmG","rxpJgHHUmx","t8gj7n24qd","9ICcGScMcE","DpFCA1CohY"],"dependent_operators":["rysDP5nf3Z","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","AHs5Up7iyr","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1297","layer":4},{"info":"number node, value=2178","layer":4},{"info":"compute binary expreesion, left_input=1297, right_input=2178, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3092","layer":3},{"info":"number node, value=7870","layer":4},{"info":"compute unary expreesion, input=7870, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3092, 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 = 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=2691","layer":4},{"info":"number node, value=5074","layer":4},{"info":"compute binary expreesion, left_input=2691, right_input=5074, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1263","layer":4},{"info":"compute unary expreesion, input=1263, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1263","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1263, 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=8317","layer":4},{"info":"compute unary expreesion, input=8317, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-24951","layer":3},{"info":"compute unary expreesion, input=-24951, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⨈⫕(⋰*⋻A7A⋥≓≎⋰*⋻1700)∼(↣≠⋷⋰*⋻5A05))⩷∴(⋰*⋻2027≭⋰*⋻38A3⫸⊐(-⋰*⋻A49))∑⇟⊟(≦∁(⋗⩬⋾⋰*⋻6281))=NaN","reverse_text":"NaN=(⨈⫕(⋰*⋻A7A⋥≓≎⋰*⋻1700)∼(↣≠⋷⋰*⋻5A05))⩷∴(⋰*⋻2027≭⋰*⋻38A3⫸⊐(-⋰*⋻A49))∑⇟⊟(≦∁(⋗⩬⋾⋰*⋻6281))","cot":[{"info":"⋰*⋻A7A⋥≓≎⋰*⋻1700=⋰*⋻2361","layer":3},{"info":"↣≠⋷⋰*⋻5A05=NaN","layer":3},{"info":"⋰*⋻2361∼NaN=NaN","layer":2},{"info":"⨈⫕NaN=⋰*⋻-1A","layer":1},{"info":"⋰*⋻2027≭⋰*⋻38A3=NaN","layer":3},{"info":"-⋰*⋻A49=⋰*⋻-A49","layer":3},{"info":"NaN⫸⊐⋰*⋻-A49=NaN","layer":2},{"info":"⋗⩬⋾⋰*⋻6281=⋰*⋻-17823","layer":3},{"info":"≦∁⋰*⋻-17823=⋰*⋻61","layer":2},{"info":"NaN∑⇟⊟⋰*⋻61=NaN","layer":1},{"info":"⋰*⋻-1A⩷∴NaN=NaN","layer":0}]}
{"id":224,"expression_no_base_symbol":"(≦∁$1311$)⩷∴($4299$⨎$5835$)↺(≉$1191$)⫥∨⫟($8548$⇼⇔∾$1185$)⨳⩥⨓($3762$⨓$1382$≧⫂∧(∂$2269$)⇼⇔∾(⫛⫱⨽$1913$)⨎(⪝⪂⫅$4637$))","expression":"(≦∁⋰*⋻A92)⩷∴(⋰*⋻3259⨎⋰*⋻4425)↺(≉⋰*⋻993)⫥∨⫟(⋰*⋻6471⇼⇔∾⋰*⋻988)⨳⩥⨓(⋰*⋻2910⨓⋰*⋻1047≧⫂∧(∂⋰*⋻1783)⇼⇔∾(⫛⫱⨽⋰*⋻148A)⨎(⪝⪂⫅⋰*⋻3536))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3136,"operation_count":15,"complexity_ratio":209.06666666666666,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1311,"base":11}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4299,"base":11},"right_expr":{"type":"numeric_atoms","value":5835,"base":11}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1191,"base":11}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":8548,"base":11},"right_expr":{"type":"numeric_atoms","value":1185,"base":11}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3762,"base":11},"right_expr":{"type":"numeric_atoms","value":1382,"base":11}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2269,"base":11}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1913,"base":11}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":4637,"base":11}}}}},"used_operators":["nCS4ZIUYfx","7j4O788W3g","9FxExcQeMw","9ICcGScMcE","rJVOvQCfKK","KYD54nUTWz","e1ybzncUwg","tifHPKVTfV","Ph9nP6C5qx","3ViojmjbAp","Uaa54Peajs","DlLNRPXxWL","XTarYq4gQB"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rGHVDoGpnC","9HNa5Wba9A","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1311","layer":4},{"info":"compute unary expreesion, input=1311, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1311","layer":3},{"info":"number node, value=4299","layer":4},{"info":"number node, value=5835","layer":4},{"info":"compute binary expreesion, left_input=4299, right_input=5835, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5835","layer":3},{"info":"compute binary expreesion, left_input=1311, right_input=5835, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-9080","layer":2},{"info":"number node, value=1191","layer":4},{"info":"compute unary expreesion, input=1191, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1722","layer":3},{"info":"number node, value=8548","layer":4},{"info":"number node, value=1185","layer":4},{"info":"compute binary expreesion, left_input=8548, right_input=1185, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-7363","layer":3},{"info":"compute binary expreesion, left_input=1722, right_input=-7363, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-9080, 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=3762","layer":4},{"info":"number node, value=1382","layer":4},{"info":"compute binary expreesion, left_input=3762, right_input=1382, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1385","layer":3},{"info":"number node, value=2269","layer":4},{"info":"compute unary expreesion, input=2269, 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=-1385, 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=1913","layer":4},{"info":"compute unary expreesion, input=1913, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=4637","layer":4},{"info":"compute unary expreesion, input=4637, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-681639","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-681639, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-681639","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-681639, 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 = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(≦∁⋰*⋻A92)⩷∴(⋰*⋻3259⨎⋰*⋻4425)↺(≉⋰*⋻993)⫥∨⫟(⋰*⋻6471⇼⇔∾⋰*⋻988)⨳⩥⨓(⋰*⋻2910⨓⋰*⋻1047≧⫂∧(∂⋰*⋻1783)⇼⇔∾(⫛⫱⨽⋰*⋻148A)⨎(⪝⪂⫅⋰*⋻3536))=NaN","reverse_text":"NaN=(≦∁⋰*⋻A92)⩷∴(⋰*⋻3259⨎⋰*⋻4425)↺(≉⋰*⋻993)⫥∨⫟(⋰*⋻6471⇼⇔∾⋰*⋻988)⨳⩥⨓(⋰*⋻2910⨓⋰*⋻1047≧⫂∧(∂⋰*⋻1783)⇼⇔∾(⫛⫱⨽⋰*⋻148A)⨎(⪝⪂⫅⋰*⋻3536))","cot":[{"info":"≦∁⋰*⋻A92=⋰*⋻A92","layer":3},{"info":"⋰*⋻3259⨎⋰*⋻4425=⋰*⋻4425","layer":3},{"info":"⋰*⋻A92⩷∴⋰*⋻4425=⋰*⋻-6905","layer":2},{"info":"≉⋰*⋻993=⋰*⋻1326","layer":3},{"info":"⋰*⋻6471⇼⇔∾⋰*⋻988=⋰*⋻-5594","layer":3},{"info":"⋰*⋻1326⫥∨⫟⋰*⋻-5594=NaN","layer":2},{"info":"⋰*⋻-6905↺NaN=NaN","layer":1},{"info":"⋰*⋻2910⨓⋰*⋻1047=⋰*⋻-104A","layer":3},{"info":"∂⋰*⋻1783=NaN","layer":3},{"info":"⋰*⋻-104A≧⫂∧NaN=NaN","layer":2},{"info":"⫛⫱⨽⋰*⋻148A=⋰*⋻0","layer":3},{"info":"⪝⪂⫅⋰*⋻3536=⋰*⋻-426142","layer":3},{"info":"⋰*⋻0⨎⋰*⋻-426142=⋰*⋻-426142","layer":2},{"info":"NaN⇼⇔∾⋰*⋻-426142=NaN","layer":1},{"info":"NaN⨳⩥⨓NaN=NaN","layer":0}]}
{"id":225,"expression_no_base_symbol":"(⊙↵-($2542$⨽$1763$⊠≄⫣))≧⫂∧((⫓⪴$1384$∼$1013$)⋓((⊙↵-$5780$)⋥≓≎($3722$⫡⨏$2989$)))","expression":"(⊙↵-(⋰*⋻1A01⨽⋰*⋻1363⊠≄⫣))≧⫂∧((⫓⪴⋰*⋻1049∼⋰*⋻841)⋓((⊙↵-⋰*⋻4385)⋥≓≎(⋰*⋻2884⫡⨏⋰*⋻2278)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":8462,"operation_count":10,"complexity_ratio":846.2,"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":2542,"base":11},"right_expr":{"type":"numeric_atoms","value":1763,"base":11}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1384,"base":11},"right_expr":{"type":"numeric_atoms","value":1013,"base":11}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":5780,"base":11}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3722,"base":11},"right_expr":{"type":"numeric_atoms","value":2989,"base":11}}}}},"used_operators":["Ph9nP6C5qx","oWn0xqSxBt","DIvbN7qnHd","8HhzD0ZcuI","T2fj7uvVaJ","eLxqMNBOBk","DyGG3AbaNP","Qy55tPpLXF","QMFrweE19q"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9HNa5Wba9A","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻-3A0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2542","layer":4},{"info":"number node, value=1763","layer":4},{"info":"compute binary expreesion, left_input=2542, right_input=1763, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-19389267","layer":3},{"info":"compute unary expreesion, input=-19389267, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":1},{"info":"number node, value=1384","layer":4},{"info":"number node, value=1013","layer":4},{"info":"compute binary expreesion, left_input=1384, right_input=1013, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":2},{"info":"number node, value=5780","layer":4},{"info":"compute unary expreesion, input=5780, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=3722","layer":4},{"info":"number node, value=2989","layer":4},{"info":"compute binary expreesion, left_input=3722, right_input=2989, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=25371","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=25371, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=50776","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=50776, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-473","layer":0}],"base":11,"result_base":11,"text":"(⊙↵-(⋰*⋻1A01⨽⋰*⋻1363⊠≄⫣))≧⫂∧((⫓⪴⋰*⋻1049∼⋰*⋻841)⋓((⊙↵-⋰*⋻4385)⋥≓≎(⋰*⋻2884⫡⨏⋰*⋻2278)))=⋰*⋻-3A0","reverse_text":"⋰*⋻-3A0=(⊙↵-(⋰*⋻1A01⨽⋰*⋻1363⊠≄⫣))≧⫂∧((⫓⪴⋰*⋻1049∼⋰*⋻841)⋓((⊙↵-⋰*⋻4385)⋥≓≎(⋰*⋻2884⫡⨏⋰*⋻2278)))","cot":[{"info":"⋰*⋻1A01⨽⋰*⋻1363=⋰*⋻-AA43497","layer":3},{"info":"⋰*⋻-AA43497⊠≄⫣=⋰*⋻0","layer":2},{"info":"⊙↵-⋰*⋻0=⋰*⋻0","layer":1},{"info":"⋰*⋻1049∼⋰*⋻841=NaN","layer":3},{"info":"⫓⪴NaN=NaN","layer":2},{"info":"⊙↵-⋰*⋻4385=⋰*⋻-1","layer":3},{"info":"⋰*⋻2884⫡⨏⋰*⋻2278=⋰*⋻18075","layer":3},{"info":"⋰*⋻-1⋥≓≎⋰*⋻18075=⋰*⋻35170","layer":2},{"info":"NaN⋓⋰*⋻35170=⋰*⋻0","layer":1},{"info":"⋰*⋻0≧⫂∧⋰*⋻0=⋰*⋻-3A0","layer":0}]}
{"id":226,"expression_no_base_symbol":"(($3304$⨐⩸⫘$3828$↙$1223$⋳⪒$1381$)⋳⪒(⨈⫕$1287$)∀⇚≩($4569$+$4553$))⨓((↥($1280$⪒$7421$))≎⊠⪸($1956$*$1179$)↬$1673$⨪↰⇹$3113$)","expression":"((⋰*⋻2534⨐⩸⫘⋰*⋻2970↙⋰*⋻A12⋳⪒⋰*⋻1046)⋳⪒(⨈⫕⋰*⋻A70)∀⇚≩(⋰*⋻3484+⋰*⋻346A))⨓((↥(⋰*⋻A64⪒⋰*⋻5637))≎⊠⪸(⋰*⋻1519*⋰*⋻982)↬⋰*⋻1291⨪↰⇹⋰*⋻2380)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3660,"operation_count":14,"complexity_ratio":261.42857142857144,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3304,"base":11},"right_expr":{"type":"numeric_atoms","value":3828,"base":11}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1223,"base":11},"right_expr":{"type":"numeric_atoms","value":1381,"base":11}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1287,"base":11}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":4569,"base":11},"right_expr":{"type":"numeric_atoms","value":4553,"base":11}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1280,"base":11},"right_expr":{"type":"numeric_atoms","value":7421,"base":11}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1956,"base":11},"right_expr":{"type":"numeric_atoms","value":1179,"base":11}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1673,"base":11},"right_expr":{"type":"numeric_atoms","value":3113,"base":11}}}}},"used_operators":["3ViojmjbAp","12rbrZMWeM","yyfyN0ffXY","fu6greOZ01","LRNGc0VcxI","megm06wKyl","W4YGzv6Whe","bJkvcejdHO","A8NUZmVepG","f6k1SAg4EE","B5M0gjZbta","9HNa5Wba9A","tmPS8pqC7x"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","3ViojmjbAp","X99M06cbEe","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","rJVOvQCfKK"],"result":"⋰*⋻-64","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3304","layer":4},{"info":"number node, value=3828","layer":4},{"info":"compute binary expreesion, left_input=3304, right_input=3828, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=1223","layer":4},{"info":"number node, value=1381","layer":4},{"info":"compute binary expreesion, left_input=1223, right_input=1381, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=778","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=778, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":2},{"info":"number node, value=1287","layer":4},{"info":"compute unary expreesion, input=1287, 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=4569","layer":4},{"info":"number node, value=4553","layer":4},{"info":"compute binary expreesion, left_input=4569, right_input=4553, op_id = W4YGzv6Whe binary_op_definition= 'None', output=9122","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=9122, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"number node, value=1280","layer":4},{"info":"number node, value=7421","layer":4},{"info":"compute binary expreesion, left_input=1280, right_input=7421, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8701","layer":3},{"info":"compute unary expreesion, input=-8701, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=20","layer":2},{"info":"number node, value=1956","layer":4},{"info":"number node, value=1179","layer":4},{"info":"compute binary expreesion, left_input=1956, right_input=1179, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2306124","layer":3},{"info":"number node, value=1673","layer":4},{"info":"number node, value=3113","layer":4},{"info":"compute binary expreesion, left_input=1673, right_input=3113, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1673","layer":3},{"info":"compute binary expreesion, left_input=2306124, right_input=1673, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=20, 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 = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-70","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻2534⨐⩸⫘⋰*⋻2970↙⋰*⋻A12⋳⪒⋰*⋻1046)⋳⪒(⨈⫕⋰*⋻A70)∀⇚≩(⋰*⋻3484+⋰*⋻346A))⨓((↥(⋰*⋻A64⪒⋰*⋻5637))≎⊠⪸(⋰*⋻1519*⋰*⋻982)↬⋰*⋻1291⨪↰⇹⋰*⋻2380)=⋰*⋻-64","reverse_text":"⋰*⋻-64=((⋰*⋻2534⨐⩸⫘⋰*⋻2970↙⋰*⋻A12⋳⪒⋰*⋻1046)⋳⪒(⨈⫕⋰*⋻A70)∀⇚≩(⋰*⋻3484+⋰*⋻346A))⨓((↥(⋰*⋻A64⪒⋰*⋻5637))≎⊠⪸(⋰*⋻1519*⋰*⋻982)↬⋰*⋻1291⨪↰⇹⋰*⋻2380)","cot":[{"info":"⋰*⋻2534⨐⩸⫘⋰*⋻2970=NaN","layer":3},{"info":"⋰*⋻A12⋳⪒⋰*⋻1046=⋰*⋻648","layer":3},{"info":"NaN↙⋰*⋻648=NaN","layer":2},{"info":"⨈⫕⋰*⋻A70=⋰*⋻-1A","layer":3},{"info":"⋰*⋻3484+⋰*⋻346A=⋰*⋻6943","layer":3},{"info":"⋰*⋻-1A∀⇚≩⋰*⋻6943=NaN","layer":2},{"info":"NaN⋳⪒NaN=NaN","layer":1},{"info":"⋰*⋻A64⪒⋰*⋻5637=⋰*⋻-65A0","layer":3},{"info":"↥⋰*⋻-65A0=⋰*⋻19","layer":2},{"info":"⋰*⋻1519*⋰*⋻982=⋰*⋻1335697","layer":3},{"info":"⋰*⋻1291⨪↰⇹⋰*⋻2380=⋰*⋻1291","layer":3},{"info":"⋰*⋻1335697↬⋰*⋻1291=NaN","layer":2},{"info":"⋰*⋻19≎⊠⪸NaN=⋰*⋻61","layer":1},{"info":"NaN⨓⋰*⋻61=⋰*⋻-64","layer":0}]}
{"id":227,"expression_no_base_symbol":"⨰⫟⨤((⊥(≦∁$4250$))↺$1296$≹⇙⪍$4725$⇷($5502$⨵⪆$1204$))","expression":"⨰⫟⨤((⊥(≦∁⋰*⋻3214))↺⋰*⋻A79≹⇙⪍⋰*⋻3606⇷(⋰*⋻4152⨵⪆⋰*⋻9A5))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":905,"operation_count":7,"complexity_ratio":129.28571428571428,"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":4250,"base":11}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1296,"base":11},"right_expr":{"type":"numeric_atoms","value":4725,"base":11}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":5502,"base":11},"right_expr":{"type":"numeric_atoms","value":1204,"base":11}}}}},"used_operators":["Tw270M8GLb","7j4O788W3g","Q3PJZHRvZv","9ICcGScMcE","mp7IySMOzn","AHs5Up7iyr","2DQ55sFlQl"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=4250","layer":4},{"info":"compute unary expreesion, input=4250, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=4250","layer":3},{"info":"compute unary expreesion, input=4250, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"number node, value=1296","layer":4},{"info":"number node, value=4725","layer":4},{"info":"compute binary expreesion, left_input=1296, right_input=4725, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=5502","layer":4},{"info":"number node, value=1204","layer":4},{"info":"compute binary expreesion, left_input=5502, right_input=1204, 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 = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=320","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=320, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=320","layer":1},{"info":"compute unary expreesion, input=320, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⨰⫟⨤((⊥(≦∁⋰*⋻3214))↺⋰*⋻A79≹⇙⪍⋰*⋻3606⇷(⋰*⋻4152⨵⪆⋰*⋻9A5))=NaN","reverse_text":"NaN=⨰⫟⨤((⊥(≦∁⋰*⋻3214))↺⋰*⋻A79≹⇙⪍⋰*⋻3606⇷(⋰*⋻4152⨵⪆⋰*⋻9A5))","cot":[{"info":"≦∁⋰*⋻3214=⋰*⋻3214","layer":3},{"info":"⊥⋰*⋻3214=NaN","layer":2},{"info":"⋰*⋻A79≹⇙⪍⋰*⋻3606=NaN","layer":3},{"info":"⋰*⋻4152⨵⪆⋰*⋻9A5=⋰*⋻136","layer":3},{"info":"NaN⇷⋰*⋻136=⋰*⋻271","layer":2},{"info":"NaN↺⋰*⋻271=⋰*⋻271","layer":1},{"info":"⨰⫟⨤⋰*⋻271=NaN","layer":0}]}
{"id":228,"expression_no_base_symbol":"(($2626$⪨≂$3582$)⨸⪁($2095$+$1474$))≭($6736$⨽$3576$⇼⇔∾(⇁⨣⪵$1234$))⊉≛↸($2967$⋥≓≎$2144$/$1271$⨽$2518$)⫸⊐(⫛⫱⨽($1415$≹⇙⪍$1994$))","expression":"((⋰*⋻1A78⪨≂⋰*⋻2767)⨸⪁(⋰*⋻1635+⋰*⋻1120))≭(⋰*⋻5074⨽⋰*⋻2761⇼⇔∾(⇁⨣⪵⋰*⋻A22))⊉≛↸(⋰*⋻2258⋥≓≎⋰*⋻167A/⋰*⋻A56⨽⋰*⋻198A)⫸⊐(⫛⫱⨽(⋰*⋻1077≹⇙⪍⋰*⋻1553))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":8962,"operation_count":14,"complexity_ratio":640.1428571428571,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2626,"base":11},"right_expr":{"type":"numeric_atoms","value":3582,"base":11}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2095,"base":11},"right_expr":{"type":"numeric_atoms","value":1474,"base":11}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":6736,"base":11},"right_expr":{"type":"numeric_atoms","value":3576,"base":11}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1234,"base":11}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2967,"base":11},"right_expr":{"type":"numeric_atoms","value":2144,"base":11}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1271,"base":11},"right_expr":{"type":"numeric_atoms","value":2518,"base":11}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1415,"base":11},"right_expr":{"type":"numeric_atoms","value":1994,"base":11}}}}},"used_operators":["DZ8iAZOCBD","rxpJgHHUmx","g55IO6H4Gj","sdazOOVcIp","W4YGzv6Whe","tifHPKVTfV","8HhzD0ZcuI","inkyxCbjAn","mqXw5SEYmG","XhwjNDsVaA","Qy55tPpLXF","DlLNRPXxWL","AHs5Up7iyr"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","B5M0gjZbta","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2626","layer":4},{"info":"number node, value=3582","layer":4},{"info":"compute binary expreesion, left_input=2626, right_input=3582, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-1810","layer":3},{"info":"number node, value=2095","layer":4},{"info":"number node, value=1474","layer":4},{"info":"compute binary expreesion, left_input=2095, right_input=1474, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3569","layer":3},{"info":"compute binary expreesion, left_input=-1810, right_input=3569, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=3518","layer":2},{"info":"number node, value=6736","layer":4},{"info":"number node, value=3576","layer":4},{"info":"compute binary expreesion, left_input=6736, right_input=3576, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-136130502","layer":3},{"info":"number node, value=1234","layer":4},{"info":"compute unary expreesion, input=1234, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-136130502, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3518, 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=2967","layer":4},{"info":"number node, value=2144","layer":4},{"info":"compute binary expreesion, left_input=2967, right_input=2144, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1354","layer":3},{"info":"number node, value=1271","layer":4},{"info":"number node, value=2518","layer":4},{"info":"compute binary expreesion, left_input=1271, right_input=2518, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-4852563","layer":3},{"info":"compute binary expreesion, left_input=1354, right_input=-4852563, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":2},{"info":"number node, value=1415","layer":4},{"info":"number node, value=1994","layer":4},{"info":"compute binary expreesion, left_input=1415, right_input=1994, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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":"compute binary expreesion, left_input=-1, 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=483","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=483, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1A78⪨≂⋰*⋻2767)⨸⪁(⋰*⋻1635+⋰*⋻1120))≭(⋰*⋻5074⨽⋰*⋻2761⇼⇔∾(⇁⨣⪵⋰*⋻A22))⊉≛↸(⋰*⋻2258⋥≓≎⋰*⋻167A/⋰*⋻A56⨽⋰*⋻198A)⫸⊐(⫛⫱⨽(⋰*⋻1077≹⇙⪍⋰*⋻1553))=NaN","reverse_text":"NaN=((⋰*⋻1A78⪨≂⋰*⋻2767)⨸⪁(⋰*⋻1635+⋰*⋻1120))≭(⋰*⋻5074⨽⋰*⋻2761⇼⇔∾(⇁⨣⪵⋰*⋻A22))⊉≛↸(⋰*⋻2258⋥≓≎⋰*⋻167A/⋰*⋻A56⨽⋰*⋻198A)⫸⊐(⫛⫱⨽(⋰*⋻1077≹⇙⪍⋰*⋻1553))","cot":[{"info":"⋰*⋻1A78⪨≂⋰*⋻2767=⋰*⋻-13A6","layer":3},{"info":"⋰*⋻1635+⋰*⋻1120=⋰*⋻2755","layer":3},{"info":"⋰*⋻-13A6⨸⪁⋰*⋻2755=⋰*⋻2709","layer":2},{"info":"⋰*⋻5074⨽⋰*⋻2761=⋰*⋻-6A929952","layer":3},{"info":"⇁⨣⪵⋰*⋻A22=NaN","layer":3},{"info":"⋰*⋻-6A929952⇼⇔∾NaN=NaN","layer":2},{"info":"⋰*⋻2709≭NaN=NaN","layer":1},{"info":"⋰*⋻2258⋥≓≎⋰*⋻167A=⋰*⋻1021","layer":3},{"info":"⋰*⋻A56⨽⋰*⋻198A=⋰*⋻-2814891","layer":3},{"info":"⋰*⋻1021/⋰*⋻-2814891=⋰*⋻-1","layer":2},{"info":"⋰*⋻1077≹⇙⪍⋰*⋻1553=NaN","layer":3},{"info":"⫛⫱⨽NaN=NaN","layer":2},{"info":"⋰*⋻-1⫸⊐NaN=⋰*⋻3AA","layer":1},{"info":"NaN⊉≛↸⋰*⋻3AA=NaN","layer":0}]}
{"id":229,"expression_no_base_symbol":"(⫓⪴($4984$⨪↰⇹$5769$⪠⩆⊳))⫥∨⫟((⨈⫕($6293$-$1994$))⩨($1444$*$1497$)⨟⋌⩍($1119$⋳⪒$2114$))","expression":"(⫓⪴(⋰*⋻3821⨪↰⇹⋰*⋻4375⪠⩆⊳))⫥∨⫟((⨈⫕(⋰*⋻4801-⋰*⋻1553))⩨(⋰*⋻10A3*⋰*⋻1141)⨟⋌⩍(⋰*⋻928⋳⪒⋰*⋻1652))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":8149,"operation_count":10,"complexity_ratio":814.9,"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":4984,"base":11},"right_expr":{"type":"numeric_atoms","value":5769,"base":11}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":6293,"base":11},"right_expr":{"type":"numeric_atoms","value":1994,"base":11}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1444,"base":11},"right_expr":{"type":"numeric_atoms","value":1497,"base":11}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1119,"base":11},"right_expr":{"type":"numeric_atoms","value":2114,"base":11}}}}},"used_operators":["KYD54nUTWz","eLxqMNBOBk","JLbD19bQDL","tmPS8pqC7x","2DlMacCsIx","megm06wKyl","rysDP5nf3Z","rGHVDoGpnC","9HNa5Wba9A","12rbrZMWeM"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","Tcnh7f0tEr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4984","layer":4},{"info":"number node, value=5769","layer":4},{"info":"compute binary expreesion, left_input=4984, right_input=5769, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=4984","layer":3},{"info":"compute unary expreesion, input=4984, 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 = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=0","layer":1},{"info":"number node, value=6293","layer":4},{"info":"number node, value=1994","layer":4},{"info":"compute binary expreesion, left_input=6293, right_input=1994, op_id = rysDP5nf3Z binary_op_definition= 'None', output=4299","layer":3},{"info":"compute unary expreesion, input=4299, 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=1444","layer":4},{"info":"number node, value=1497","layer":4},{"info":"compute binary expreesion, left_input=1444, right_input=1497, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2161668","layer":3},{"info":"number node, value=1119","layer":4},{"info":"number node, value=2114","layer":4},{"info":"compute binary expreesion, left_input=1119, right_input=2114, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-163","layer":3},{"info":"compute binary expreesion, left_input=2161668, right_input=-163, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=0","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=0, 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=0, right_input=0, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⫓⪴(⋰*⋻3821⨪↰⇹⋰*⋻4375⪠⩆⊳))⫥∨⫟((⨈⫕(⋰*⋻4801-⋰*⋻1553))⩨(⋰*⋻10A3*⋰*⋻1141)⨟⋌⩍(⋰*⋻928⋳⪒⋰*⋻1652))=NaN","reverse_text":"NaN=(⫓⪴(⋰*⋻3821⨪↰⇹⋰*⋻4375⪠⩆⊳))⫥∨⫟((⨈⫕(⋰*⋻4801-⋰*⋻1553))⩨(⋰*⋻10A3*⋰*⋻1141)⨟⋌⩍(⋰*⋻928⋳⪒⋰*⋻1652))","cot":[{"info":"⋰*⋻3821⨪↰⇹⋰*⋻4375=⋰*⋻3821","layer":3},{"info":"⋰*⋻3821⪠⩆⊳=⋰*⋻0","layer":2},{"info":"⫓⪴⋰*⋻0=⋰*⋻0","layer":1},{"info":"⋰*⋻4801-⋰*⋻1553=⋰*⋻3259","layer":3},{"info":"⨈⫕⋰*⋻3259=⋰*⋻-1A","layer":2},{"info":"⋰*⋻10A3*⋰*⋻1141=⋰*⋻1247103","layer":3},{"info":"⋰*⋻928⋳⪒⋰*⋻1652=⋰*⋻-139","layer":3},{"info":"⋰*⋻1247103⨟⋌⩍⋰*⋻-139=⋰*⋻0","layer":2},{"info":"⋰*⋻-1A⩨⋰*⋻0=⋰*⋻0","layer":1},{"info":"⋰*⋻0⫥∨⫟⋰*⋻0=NaN","layer":0}]}
{"id":230,"expression_no_base_symbol":"⨵≀≌($4828$⫸⊐$6733$/$5893$↬$7790$)⨽(($1200$⪒$1012$)⇼⇔∾($2054$%$4424$))","expression":"⨵≀≌(⋰*⋻369A⫸⊐⋰*⋻5071/⋰*⋻4478↬⋰*⋻5942)⨽((⋰*⋻9A1⪒⋰*⋻840)⇼⇔∾(⋰*⋻15A8%⋰*⋻3362))","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":4828,"base":11},"right_expr":{"type":"numeric_atoms","value":6733,"base":11}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":5893,"base":11},"right_expr":{"type":"numeric_atoms","value":7790,"base":11}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1200,"base":11},"right_expr":{"type":"numeric_atoms","value":1012,"base":11}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2054,"base":11},"right_expr":{"type":"numeric_atoms","value":4424,"base":11}}}}},"used_operators":["srAu1WTS94","8HhzD0ZcuI","XhwjNDsVaA","mqXw5SEYmG","B5M0gjZbta","tifHPKVTfV","f6k1SAg4EE","k8jYdgA6NY"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4828","layer":4},{"info":"number node, value=6733","layer":4},{"info":"compute binary expreesion, left_input=4828, right_input=6733, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=26807","layer":3},{"info":"number node, value=5893","layer":4},{"info":"number node, value=7790","layer":4},{"info":"compute binary expreesion, left_input=5893, right_input=7790, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=26807, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1200","layer":4},{"info":"number node, value=1012","layer":4},{"info":"compute binary expreesion, left_input=1200, right_input=1012, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2212","layer":3},{"info":"number node, value=2054","layer":4},{"info":"number node, value=4424","layer":4},{"info":"compute binary expreesion, left_input=2054, right_input=4424, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2054","layer":3},{"info":"compute binary expreesion, left_input=-2212, right_input=2054, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=4266","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4266, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', 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":11,"result_base":11,"text":"⨵≀≌(⋰*⋻369A⫸⊐⋰*⋻5071/⋰*⋻4478↬⋰*⋻5942)⨽((⋰*⋻9A1⪒⋰*⋻840)⇼⇔∾(⋰*⋻15A8%⋰*⋻3362))=NaN","reverse_text":"NaN=⨵≀≌(⋰*⋻369A⫸⊐⋰*⋻5071/⋰*⋻4478↬⋰*⋻5942)⨽((⋰*⋻9A1⪒⋰*⋻840)⇼⇔∾(⋰*⋻15A8%⋰*⋻3362))","cot":[{"info":"⋰*⋻369A⫸⊐⋰*⋻5071=⋰*⋻19160","layer":3},{"info":"⋰*⋻4478↬⋰*⋻5942=NaN","layer":3},{"info":"⋰*⋻19160/NaN=NaN","layer":2},{"info":"⋰*⋻9A1⪒⋰*⋻840=⋰*⋻-1731","layer":3},{"info":"⋰*⋻15A8%⋰*⋻3362=⋰*⋻15A8","layer":3},{"info":"⋰*⋻-1731⇼⇔∾⋰*⋻15A8=⋰*⋻3229","layer":2},{"info":"NaN⨽⋰*⋻3229=NaN","layer":1},{"info":"⨵≀≌NaN=NaN","layer":0}]}
{"id":231,"expression_no_base_symbol":"($3391$≧⫂∧$5212$⋷$8006$⇷$5270$)≹⇙⪍($1855$⨰$4607$⊘)⨎(+⊝⨔(⩦⩻⨪$2577$))⩚⊴⇥(($1511$⫡⨏$1211$)+⇶⊼$4575$⊴$8255$)","expression":"(⋰*⋻2603≧⫂∧⋰*⋻3A09⋷⋰*⋻6019⇷⋰*⋻3A61)≹⇙⪍(⋰*⋻1437⨰⋰*⋻3509⊘)⨎(+⊝⨔(⩦⩻⨪⋰*⋻1A33))⩚⊴⇥((⋰*⋻1154⫡⨏⋰*⋻A01)+⇶⊼⋰*⋻348A⊴⋰*⋻6225)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":136778,"operation_count":13,"complexity_ratio":10521.384615384615,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3391,"base":11},"right_expr":{"type":"numeric_atoms","value":5212,"base":11}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":8006,"base":11},"right_expr":{"type":"numeric_atoms","value":5270,"base":11}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1855,"base":11},"right_expr":{"type":"numeric_atoms","value":4607,"base":11}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2577,"base":11}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1511,"base":11},"right_expr":{"type":"numeric_atoms","value":1211,"base":11}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4575,"base":11},"right_expr":{"type":"numeric_atoms","value":8255,"base":11}}}}},"used_operators":["rJVOvQCfKK","AHs5Up7iyr","23Mk6UjR3U","Ph9nP6C5qx","mp7IySMOzn","gu96TGCTMs","eewbuw0ToL","NTOWxs364D","DhbWaqg5eL","2td37pGCOC","TpPTUOHfaN","QMFrweE19q","Nsiff2A1zJ"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3391","layer":4},{"info":"number node, value=5212","layer":4},{"info":"compute binary expreesion, left_input=3391, right_input=5212, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4739","layer":3},{"info":"number node, value=8006","layer":4},{"info":"number node, value=5270","layer":4},{"info":"compute binary expreesion, left_input=8006, right_input=5270, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=10540","layer":3},{"info":"compute binary expreesion, left_input=4739, right_input=10540, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=16341","layer":2},{"info":"number node, value=1855","layer":4},{"info":"number node, value=4607","layer":4},{"info":"compute binary expreesion, left_input=1855, right_input=4607, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2742","layer":3},{"info":"compute unary expreesion, input=-2742, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=16341, 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":1},{"info":"number node, value=2577","layer":4},{"info":"compute unary expreesion, input=2577, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2577","layer":3},{"info":"compute unary expreesion, input=2577, 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=1511","layer":4},{"info":"number node, value=1211","layer":4},{"info":"compute binary expreesion, left_input=1511, right_input=1211, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=10760","layer":3},{"info":"number node, value=4575","layer":4},{"info":"number node, value=8255","layer":4},{"info":"compute binary expreesion, left_input=4575, right_input=8255, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=10760, 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=1522, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻2603≧⫂∧⋰*⋻3A09⋷⋰*⋻6019⇷⋰*⋻3A61)≹⇙⪍(⋰*⋻1437⨰⋰*⋻3509⊘)⨎(+⊝⨔(⩦⩻⨪⋰*⋻1A33))⩚⊴⇥((⋰*⋻1154⫡⨏⋰*⋻A01)+⇶⊼⋰*⋻348A⊴⋰*⋻6225)=NaN","reverse_text":"NaN=(⋰*⋻2603≧⫂∧⋰*⋻3A09⋷⋰*⋻6019⇷⋰*⋻3A61)≹⇙⪍(⋰*⋻1437⨰⋰*⋻3509⊘)⨎(+⊝⨔(⩦⩻⨪⋰*⋻1A33))⩚⊴⇥((⋰*⋻1154⫡⨏⋰*⋻A01)+⇶⊼⋰*⋻348A⊴⋰*⋻6225)","cot":[{"info":"⋰*⋻2603≧⫂∧⋰*⋻3A09=⋰*⋻3619","layer":3},{"info":"⋰*⋻6019⇷⋰*⋻3A61=⋰*⋻7A12","layer":3},{"info":"⋰*⋻3619⋷⋰*⋻7A12=⋰*⋻11306","layer":2},{"info":"⋰*⋻1437⨰⋰*⋻3509=⋰*⋻-2073","layer":3},{"info":"⋰*⋻-2073⊘=⋰*⋻-1","layer":2},{"info":"⋰*⋻11306≹⇙⪍⋰*⋻-1=⋰*⋻0","layer":1},{"info":"⩦⩻⨪⋰*⋻1A33=⋰*⋻1A33","layer":3},{"info":"+⊝⨔⋰*⋻1A33=⋰*⋻1164","layer":2},{"info":"⋰*⋻1154⫡⨏⋰*⋻A01=⋰*⋻80A2","layer":3},{"info":"⋰*⋻348A⊴⋰*⋻6225=NaN","layer":3},{"info":"⋰*⋻80A2+⇶⊼NaN=NaN","layer":2},{"info":"⋰*⋻1164⩚⊴⇥NaN=NaN","layer":1},{"info":"⋰*⋻0⨎NaN=NaN","layer":0}]}
{"id":232,"expression_no_base_symbol":"(⪲⇎($2343$⪘⫢$4804$/(≦∁$5714$)))≎⊠⪸((⊄⩳↩(⨑⩽⪐$1279$))⫥∨⫟(+⊝⨔($1713$⇼⇔∾$3215$)))","expression":"(⪲⇎(⋰*⋻1840⪘⫢⋰*⋻3678/(≦∁⋰*⋻4325)))≎⊠⪸((⊄⩳↩(⨑⩽⪐⋰*⋻A63))⫥∨⫟(+⊝⨔(⋰*⋻1318⇼⇔∾⋰*⋻2463)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":233,"operation_count":10,"complexity_ratio":23.3,"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":2343,"base":11},"right_expr":{"type":"numeric_atoms","value":4804,"base":11}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":5714,"base":11}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1279,"base":11}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1713,"base":11},"right_expr":{"type":"numeric_atoms","value":3215,"base":11}}}}},"used_operators":["bJkvcejdHO","XPYlsWDdGa","XhwjNDsVaA","oacrs7FA3X","9ICcGScMcE","KYD54nUTWz","8w2t5hMYqp","AF7qkfDlqP","DhbWaqg5eL","tifHPKVTfV"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⋰*⋻61","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2343","layer":4},{"info":"number node, value=4804","layer":4},{"info":"compute binary expreesion, left_input=2343, right_input=4804, 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=5714","layer":4},{"info":"compute unary expreesion, input=5714, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=5714","layer":3},{"info":"compute binary expreesion, left_input=4562, right_input=5714, op_id = XhwjNDsVaA binary_op_definition= 'None', 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":"number node, value=1279","layer":4},{"info":"compute unary expreesion, input=1279, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1006","layer":3},{"info":"compute unary expreesion, input=-1006, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=3018","layer":2},{"info":"number node, value=1713","layer":4},{"info":"number node, value=3215","layer":4},{"info":"compute binary expreesion, left_input=1713, right_input=3215, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1502","layer":3},{"info":"compute unary expreesion, input=1502, 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=3018, right_input=1522, 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 = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":11,"result_base":11,"text":"(⪲⇎(⋰*⋻1840⪘⫢⋰*⋻3678/(≦∁⋰*⋻4325)))≎⊠⪸((⊄⩳↩(⨑⩽⪐⋰*⋻A63))⫥∨⫟(+⊝⨔(⋰*⋻1318⇼⇔∾⋰*⋻2463)))=⋰*⋻61","reverse_text":"⋰*⋻61=(⪲⇎(⋰*⋻1840⪘⫢⋰*⋻3678/(≦∁⋰*⋻4325)))≎⊠⪸((⊄⩳↩(⨑⩽⪐⋰*⋻A63))⫥∨⫟(+⊝⨔(⋰*⋻1318⇼⇔∾⋰*⋻2463)))","cot":[{"info":"⋰*⋻1840⪘⫢⋰*⋻3678=⋰*⋻3478","layer":3},{"info":"≦∁⋰*⋻4325=⋰*⋻4325","layer":3},{"info":"⋰*⋻3478/⋰*⋻4325=⋰*⋻0","layer":2},{"info":"⪲⇎⋰*⋻0=⋰*⋻0","layer":1},{"info":"⨑⩽⪐⋰*⋻A63=⋰*⋻-835","layer":3},{"info":"⊄⩳↩⋰*⋻-835=⋰*⋻22A4","layer":2},{"info":"⋰*⋻1318⇼⇔∾⋰*⋻2463=⋰*⋻1146","layer":3},{"info":"+⊝⨔⋰*⋻1146=⋰*⋻1164","layer":2},{"info":"⋰*⋻22A4⫥∨⫟⋰*⋻1164=NaN","layer":1},{"info":"⋰*⋻0≎⊠⪸NaN=⋰*⋻61","layer":0}]}
{"id":233,"expression_no_base_symbol":"-$4392$⪢$2849$↺($1073$⫡⨏$4526$)↺(($8565$+$1018$)-($3834$⫡⨏$2251$))","expression":"-⋰*⋻3333⪢⋰*⋻2160↺(⋰*⋻896⫡⨏⋰*⋻3445)↺((⋰*⋻6487+⋰*⋻846)-(⋰*⋻2976⫡⨏⋰*⋻1767))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":3013,"operation_count":8,"complexity_ratio":376.625,"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":4392,"base":11},"right_expr":{"type":"numeric_atoms","value":2849,"base":11}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1073,"base":11},"right_expr":{"type":"numeric_atoms","value":4526,"base":11}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":8565,"base":11},"right_expr":{"type":"numeric_atoms","value":1018,"base":11}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3834,"base":11},"right_expr":{"type":"numeric_atoms","value":2251,"base":11}}}}},"used_operators":["t8gj7n24qd","7j4O788W3g","dWAJyo7jo9","QMFrweE19q","rysDP5nf3Z","W4YGzv6Whe"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻101A0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4392","layer":4},{"info":"number node, value=2849","layer":4},{"info":"compute binary expreesion, left_input=4392, right_input=2849, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1073","layer":4},{"info":"number node, value=4526","layer":4},{"info":"compute binary expreesion, left_input=1073, right_input=4526, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=15200","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=15200, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=15200","layer":2},{"info":"number node, value=8565","layer":4},{"info":"number node, value=1018","layer":4},{"info":"compute binary expreesion, left_input=8565, right_input=1018, op_id = W4YGzv6Whe binary_op_definition= 'None', output=9583","layer":3},{"info":"number node, value=3834","layer":4},{"info":"number node, value=2251","layer":4},{"info":"compute binary expreesion, left_input=3834, right_input=2251, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=24455","layer":3},{"info":"compute binary expreesion, left_input=9583, right_input=24455, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-14872","layer":2},{"info":"compute binary expreesion, left_input=15200, right_input=-14872, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-14872","layer":1},{"info":"compute unary expreesion, input=-14872, op_id = t8gj7n24qd, unary_op_definition = 'None', output=14872","layer":0}],"base":11,"result_base":11,"text":"-⋰*⋻3333⪢⋰*⋻2160↺(⋰*⋻896⫡⨏⋰*⋻3445)↺((⋰*⋻6487+⋰*⋻846)-(⋰*⋻2976⫡⨏⋰*⋻1767))=⋰*⋻101A0","reverse_text":"⋰*⋻101A0=-⋰*⋻3333⪢⋰*⋻2160↺(⋰*⋻896⫡⨏⋰*⋻3445)↺((⋰*⋻6487+⋰*⋻846)-(⋰*⋻2976⫡⨏⋰*⋻1767))","cot":[{"info":"⋰*⋻3333⪢⋰*⋻2160=NaN","layer":3},{"info":"⋰*⋻896⫡⨏⋰*⋻3445=⋰*⋻10469","layer":3},{"info":"NaN↺⋰*⋻10469=⋰*⋻10469","layer":2},{"info":"⋰*⋻6487+⋰*⋻846=⋰*⋻7222","layer":3},{"info":"⋰*⋻2976⫡⨏⋰*⋻1767=⋰*⋻17412","layer":3},{"info":"⋰*⋻7222-⋰*⋻17412=⋰*⋻-101A0","layer":2},{"info":"⋰*⋻10469↺⋰*⋻-101A0=⋰*⋻-101A0","layer":1},{"info":"-⋰*⋻-101A0=⋰*⋻101A0","layer":0}]}
{"id":234,"expression_no_base_symbol":"(↩((∥⊫$1380$)⊭∹↮))⊠≄⫣","expression":"(↩((∥⊫⋰*⋻1045)⊭∹↮))⊠≄⫣","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":29,"operation_count":4,"complexity_ratio":7.25,"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":1380,"base":11}}}}},"used_operators":["DIvbN7qnHd","jLgFTUHLKL","xNBdhnnwKq","P8v4zCKN1o"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1380","layer":4},{"info":"compute unary expreesion, input=1380, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2248","layer":3},{"info":"compute unary expreesion, input=2248, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=4496","layer":2},{"info":"compute unary expreesion, input=4496, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-33188","layer":1},{"info":"compute unary expreesion, input=-33188, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":0}],"base":11,"result_base":11,"text":"(↩((∥⊫⋰*⋻1045)⊭∹↮))⊠≄⫣=⋰*⋻0","reverse_text":"⋰*⋻0=(↩((∥⊫⋰*⋻1045)⊭∹↮))⊠≄⫣","cot":[{"info":"∥⊫⋰*⋻1045=⋰*⋻1764","layer":3},{"info":"⋰*⋻1764⊭∹↮=⋰*⋻3418","layer":2},{"info":"↩⋰*⋻3418=⋰*⋻-22A31","layer":1},{"info":"⋰*⋻-22A31⊠≄⫣=⋰*⋻0","layer":0}]}
{"id":235,"expression_no_base_symbol":"⫓⪴((⊙↵-$6358$⪢$1664$)⩠)","expression":"⫓⪴((⊙↵-⋰*⋻4860⪢⋰*⋻1283)⩠)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2354,"operation_count":4,"complexity_ratio":588.5,"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":6358,"base":11},"right_expr":{"type":"numeric_atoms","value":1664,"base":11}}}}},"used_operators":["eLxqMNBOBk","sJAwomhLZr","oWn0xqSxBt","dWAJyo7jo9"],"dependent_operators":["9HNa5Wba9A","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=6358","layer":4},{"info":"number node, value=1664","layer":4},{"info":"compute binary expreesion, left_input=6358, right_input=1664, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, 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 = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⫓⪴((⊙↵-⋰*⋻4860⪢⋰*⋻1283)⩠)=NaN","reverse_text":"NaN=⫓⪴((⊙↵-⋰*⋻4860⪢⋰*⋻1283)⩠)","cot":[{"info":"⋰*⋻4860⪢⋰*⋻1283=NaN","layer":3},{"info":"⊙↵-NaN=NaN","layer":2},{"info":"NaN⩠=NaN","layer":1},{"info":"⫓⪴NaN=NaN","layer":0}]}
{"id":236,"expression_no_base_symbol":"((↽≂$3611$⪢$6028$)≋⫹)↪⪝","expression":"((↽≂⋰*⋻2793⪢⋰*⋻4590)≋⫹)↪⪝","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":6039,"operation_count":4,"complexity_ratio":1509.75,"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":3611,"base":11},"right_expr":{"type":"numeric_atoms","value":6028,"base":11}}}}},"used_operators":["l07mrZUIn9","N41Kp7NANJ","u6S6b8DprG","dWAJyo7jo9"],"dependent_operators":["9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=3611","layer":4},{"info":"number node, value=6028","layer":4},{"info":"compute binary expreesion, left_input=3611, right_input=6028, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = 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 unary expreesion, input=nan, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((↽≂⋰*⋻2793⪢⋰*⋻4590)≋⫹)↪⪝=NaN","reverse_text":"NaN=((↽≂⋰*⋻2793⪢⋰*⋻4590)≋⫹)↪⪝","cot":[{"info":"⋰*⋻2793⪢⋰*⋻4590=NaN","layer":3},{"info":"↽≂NaN=NaN","layer":2},{"info":"NaN≋⫹=NaN","layer":1},{"info":"NaN↪⪝=NaN","layer":0}]}
{"id":237,"expression_no_base_symbol":"((⊥($3279$⋥≓≎$3348$))⊠≄⫣)⨓(∂(($1394$≭$1322$)⨰($3753$⨰$3469$)))","expression":"((⊥(⋰*⋻2511⋥≓≎⋰*⋻2574))⊠≄⫣)⨓(∂((⋰*⋻1058≭⋰*⋻AA2)⨰(⋰*⋻2902⨰⋰*⋻2674)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":29,"operation_count":8,"complexity_ratio":3.625,"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":3279,"base":11},"right_expr":{"type":"numeric_atoms","value":3348,"base":11}}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1394,"base":11},"right_expr":{"type":"numeric_atoms","value":1322,"base":11}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3753,"base":11},"right_expr":{"type":"numeric_atoms","value":3469,"base":11}}}}},"used_operators":["3ViojmjbAp","DIvbN7qnHd","Q3PJZHRvZv","Qy55tPpLXF","Uaa54Peajs","eewbuw0ToL","rxpJgHHUmx"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=3279","layer":4},{"info":"number node, value=3348","layer":4},{"info":"compute binary expreesion, left_input=3279, right_input=3348, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3450","layer":3},{"info":"compute unary expreesion, input=3450, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=nan","layer":1},{"info":"number node, value=1394","layer":4},{"info":"number node, value=1322","layer":4},{"info":"compute binary expreesion, left_input=1394, right_input=1322, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=3753","layer":4},{"info":"number node, value=3469","layer":4},{"info":"compute binary expreesion, left_input=3753, right_input=3469, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=294","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=294, 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 = 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 = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⊥(⋰*⋻2511⋥≓≎⋰*⋻2574))⊠≄⫣)⨓(∂((⋰*⋻1058≭⋰*⋻AA2)⨰(⋰*⋻2902⨰⋰*⋻2674)))=NaN","reverse_text":"NaN=((⊥(⋰*⋻2511⋥≓≎⋰*⋻2574))⊠≄⫣)⨓(∂((⋰*⋻1058≭⋰*⋻AA2)⨰(⋰*⋻2902⨰⋰*⋻2674)))","cot":[{"info":"⋰*⋻2511⋥≓≎⋰*⋻2574=⋰*⋻2657","layer":3},{"info":"⊥⋰*⋻2657=NaN","layer":2},{"info":"NaN⊠≄⫣=NaN","layer":1},{"info":"⋰*⋻1058≭⋰*⋻AA2=NaN","layer":3},{"info":"⋰*⋻2902⨰⋰*⋻2674=⋰*⋻248","layer":3},{"info":"NaN⨰⋰*⋻248=NaN","layer":2},{"info":"∂NaN=NaN","layer":1},{"info":"NaN⨓NaN=NaN","layer":0}]}
{"id":238,"expression_no_base_symbol":"((($5721$↙$4053$)≭($2040$≦≮≮))∀⇚≩(↣≠⋷($8546$*$3637$)))≹⇙⪍((⊥(⊙↵-$1000$))⋝⋈⪟((⨰⫟⨤$6225$)⨁⊸⫻))","expression":"(((⋰*⋻4331↙⋰*⋻3055)≭(⋰*⋻1595≦≮≮))∀⇚≩(↣≠⋷(⋰*⋻646A*⋰*⋻2807)))≹⇙⪍((⊥(⊙↵-⋰*⋻82A))⋝⋈⪟((⨰⫟⨤⋰*⋻474A)⨁⊸⫻))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":32819,"operation_count":12,"complexity_ratio":2734.9166666666665,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":5721,"base":11},"right_expr":{"type":"numeric_atoms","value":4053,"base":11}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":2040,"base":11}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":8546,"base":11},"right_expr":{"type":"numeric_atoms","value":3637,"base":11}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1000,"base":11}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":6225,"base":11}}}}},"used_operators":["AHs5Up7iyr","LRNGc0VcxI","rxpJgHHUmx","yyfyN0ffXY","D4vGDi5EA2","Asc51vEJeQ","9HNa5Wba9A","2DDjHMKMc0","Q3PJZHRvZv","oWn0xqSxBt","glklzrTFfD","Tw270M8GLb"],"dependent_operators":["dWAJyo7jo9","X99M06cbEe","AHs5Up7iyr","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5721","layer":4},{"info":"number node, value=4053","layer":4},{"info":"compute binary expreesion, left_input=5721, right_input=4053, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-12159","layer":3},{"info":"number node, value=2040","layer":4},{"info":"compute unary expreesion, input=2040, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-6120","layer":3},{"info":"compute binary expreesion, left_input=-12159, right_input=-6120, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=8546","layer":4},{"info":"number node, value=3637","layer":4},{"info":"compute binary expreesion, left_input=8546, right_input=3637, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=31081802","layer":3},{"info":"compute unary expreesion, input=31081802, 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 = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1000","layer":4},{"info":"compute unary expreesion, input=1000, 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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=4","layer":2},{"info":"number node, value=6225","layer":4},{"info":"compute unary expreesion, input=6225, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4, 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 = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻4331↙⋰*⋻3055)≭(⋰*⋻1595≦≮≮))∀⇚≩(↣≠⋷(⋰*⋻646A*⋰*⋻2807)))≹⇙⪍((⊥(⊙↵-⋰*⋻82A))⋝⋈⪟((⨰⫟⨤⋰*⋻474A)⨁⊸⫻))=NaN","reverse_text":"NaN=(((⋰*⋻4331↙⋰*⋻3055)≭(⋰*⋻1595≦≮≮))∀⇚≩(↣≠⋷(⋰*⋻646A*⋰*⋻2807)))≹⇙⪍((⊥(⊙↵-⋰*⋻82A))⋝⋈⪟((⨰⫟⨤⋰*⋻474A)⨁⊸⫻))","cot":[{"info":"⋰*⋻4331↙⋰*⋻3055=⋰*⋻-9154","layer":3},{"info":"⋰*⋻1595≦≮≮=⋰*⋻-4664","layer":3},{"info":"⋰*⋻-9154≭⋰*⋻-4664=NaN","layer":2},{"info":"⋰*⋻646A*⋰*⋻2807=⋰*⋻165AA244","layer":3},{"info":"↣≠⋷⋰*⋻165AA244=NaN","layer":2},{"info":"NaN∀⇚≩NaN=NaN","layer":1},{"info":"⊙↵-⋰*⋻82A=⋰*⋻-1","layer":3},{"info":"⊥⋰*⋻-1=⋰*⋻4","layer":2},{"info":"⨰⫟⨤⋰*⋻474A=NaN","layer":3},{"info":"NaN⨁⊸⫻=NaN","layer":2},{"info":"⋰*⋻4⋝⋈⪟NaN=NaN","layer":1},{"info":"NaN≹⇙⪍NaN=NaN","layer":0}]}
{"id":239,"expression_no_base_symbol":"(⫓⪴(↩$3849$))↺(⪝⪂⫅$3264$↬$2689$)⨸⪁(($2502$⪨≂$1505$)⩨$5789$∑⇟⊟$4854$↪⪝)","expression":"(⫓⪴(↩⋰*⋻298A))↺(⪝⪂⫅⋰*⋻24A8↬⋰*⋻2025)⨸⪁((⋰*⋻1975⪨≂⋰*⋻1149)⩨⋰*⋻4393∑⇟⊟⋰*⋻3713↪⪝)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":28053,"operation_count":10,"complexity_ratio":2805.3,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":3849,"base":11}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3264,"base":11},"right_expr":{"type":"numeric_atoms","value":2689,"base":11}}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2502,"base":11},"right_expr":{"type":"numeric_atoms","value":1505,"base":11}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":5789,"base":11},"right_expr":{"type":"numeric_atoms","value":4854,"base":11}}}}},"used_operators":["g55IO6H4Gj","7j4O788W3g","eLxqMNBOBk","jLgFTUHLKL","XTarYq4gQB","B5M0gjZbta","l07mrZUIn9","2DlMacCsIx","sdazOOVcIp","U7g4x0WXJJ"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","9HNa5Wba9A","8w2t5hMYqp","rGHVDoGpnC","9HNa5Wba9A","2DDjHMKMc0","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3849","layer":4},{"info":"compute unary expreesion, input=3849, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-28012","layer":3},{"info":"compute unary expreesion, input=-28012, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=784672144","layer":2},{"info":"number node, value=3264","layer":4},{"info":"number node, value=2689","layer":4},{"info":"compute binary expreesion, left_input=3264, right_input=2689, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=784672144, 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=2502","layer":4},{"info":"number node, value=1505","layer":4},{"info":"compute binary expreesion, left_input=2502, right_input=1505, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=2096","layer":3},{"info":"number node, value=5789","layer":4},{"info":"number node, value=4854","layer":4},{"info":"compute binary expreesion, left_input=5789, right_input=4854, 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=2096, 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 = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*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":11,"result_base":11,"text":"(⫓⪴(↩⋰*⋻298A))↺(⪝⪂⫅⋰*⋻24A8↬⋰*⋻2025)⨸⪁((⋰*⋻1975⪨≂⋰*⋻1149)⩨⋰*⋻4393∑⇟⊟⋰*⋻3713↪⪝)=NaN","reverse_text":"NaN=(⫓⪴(↩⋰*⋻298A))↺(⪝⪂⫅⋰*⋻24A8↬⋰*⋻2025)⨸⪁((⋰*⋻1975⪨≂⋰*⋻1149)⩨⋰*⋻4393∑⇟⊟⋰*⋻3713↪⪝)","cot":[{"info":"↩⋰*⋻298A=⋰*⋻-1A056","layer":3},{"info":"⫓⪴⋰*⋻-1A056=⋰*⋻372A21883","layer":2},{"info":"⋰*⋻24A8↬⋰*⋻2025=NaN","layer":3},{"info":"⪝⪂⫅NaN=NaN","layer":2},{"info":"⋰*⋻372A21883↺NaN=NaN","layer":1},{"info":"⋰*⋻1975⪨≂⋰*⋻1149=⋰*⋻1636","layer":3},{"info":"⋰*⋻4393∑⇟⊟⋰*⋻3713=NaN","layer":3},{"info":"⋰*⋻1636⩨NaN=NaN","layer":2},{"info":"NaN↪⪝=NaN","layer":1},{"info":"NaN⨸⪁NaN=NaN","layer":0}]}
{"id":240,"expression_no_base_symbol":"(⪝⪂⫅(≦∁$2319$⪘⫢$5228$))⨓((↔$1249$)⊉≛↸$4656$∀⇚≩$1634$⩨($1282$⫥∨⫟$1184$⪐))","expression":"(⪝⪂⫅(≦∁⋰*⋻1819⪘⫢⋰*⋻3A23))⨓((↔⋰*⋻A36)⊉≛↸⋰*⋻3553∀⇚≩⋰*⋻1256⩨(⋰*⋻A66⫥∨⫟⋰*⋻987⪐))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":32936,"operation_count":10,"complexity_ratio":3293.6,"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":2319,"base":11},"right_expr":{"type":"numeric_atoms","value":5228,"base":11}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1249,"base":11}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4656,"base":11},"right_expr":{"type":"numeric_atoms","value":1634,"base":11}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1282,"base":11},"right_expr":{"type":"numeric_atoms","value":1184,"base":11}}}}},"used_operators":["3ViojmjbAp","XTarYq4gQB","9ICcGScMcE","oacrs7FA3X","2DlMacCsIx","DZ8iAZOCBD","ruOEQAzv1W","LRNGc0VcxI","eH2TOUuTDT","KYD54nUTWz"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9HNa5Wba9A","8w2t5hMYqp","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2319","layer":4},{"info":"number node, value=5228","layer":4},{"info":"compute binary expreesion, left_input=2319, right_input=5228, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4514","layer":3},{"info":"compute unary expreesion, input=4514, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=4514","layer":2},{"info":"compute unary expreesion, input=4514, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-663558","layer":1},{"info":"number node, value=1249","layer":4},{"info":"compute unary expreesion, input=1249, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-976","layer":3},{"info":"number node, value=4656","layer":4},{"info":"number node, value=1634","layer":4},{"info":"compute binary expreesion, left_input=4656, right_input=1634, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=-976, 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=1282","layer":4},{"info":"number node, value=1184","layer":4},{"info":"compute binary expreesion, left_input=1282, right_input=1184, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽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":"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=-663558, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⪝⪂⫅(≦∁⋰*⋻1819⪘⫢⋰*⋻3A23))⨓((↔⋰*⋻A36)⊉≛↸⋰*⋻3553∀⇚≩⋰*⋻1256⩨(⋰*⋻A66⫥∨⫟⋰*⋻987⪐))=NaN","reverse_text":"NaN=(⪝⪂⫅(≦∁⋰*⋻1819⪘⫢⋰*⋻3A23))⨓((↔⋰*⋻A36)⊉≛↸⋰*⋻3553∀⇚≩⋰*⋻1256⩨(⋰*⋻A66⫥∨⫟⋰*⋻987⪐))","cot":[{"info":"⋰*⋻1819⪘⫢⋰*⋻3A23=⋰*⋻3434","layer":3},{"info":"≦∁⋰*⋻3434=⋰*⋻3434","layer":2},{"info":"⪝⪂⫅⋰*⋻3434=⋰*⋻-4135A5","layer":1},{"info":"↔⋰*⋻A36=⋰*⋻-808","layer":3},{"info":"⋰*⋻3553∀⇚≩⋰*⋻1256=NaN","layer":3},{"info":"⋰*⋻-808⊉≛↸NaN=NaN","layer":2},{"info":"⋰*⋻A66⫥∨⫟⋰*⋻987=NaN","layer":3},{"info":"NaN⪐=NaN","layer":2},{"info":"NaN⩨NaN=NaN","layer":1},{"info":"⋰*⋻-4135A5⨓NaN=NaN","layer":0}]}
{"id":241,"expression_no_base_symbol":"(≤/($1005$⨁⊸⫻)↙$1767$⪮%⊝$2462$)⋓(⇁⨣⪵$5548$⪢$3268$+⇶⊼($2710$⪄$1786$))","expression":"(≤/(⋰*⋻834⨁⊸⫻)↙⋰*⋻1367⪮%⊝⋰*⋻1939)⋓(⇁⨣⪵⋰*⋻4194⪢⋰*⋻2501+⇶⊼(⋰*⋻2044⪄⋰*⋻1384))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":7327,"operation_count":9,"complexity_ratio":814.1111111111111,"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":1005,"base":11}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1767,"base":11},"right_expr":{"type":"numeric_atoms","value":2462,"base":11}}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":5548,"base":11},"right_expr":{"type":"numeric_atoms","value":3268,"base":11}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2710,"base":11},"right_expr":{"type":"numeric_atoms","value":1786,"base":11}}}}},"used_operators":["T2fj7uvVaJ","eLAdDNolq6","yyfyN0ffXY","glklzrTFfD","IWmyXbctLI","inkyxCbjAn","TpPTUOHfaN","dWAJyo7jo9","SUmda5xLS4"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","B5M0gjZbta","AHs5Up7iyr","k8jYdgA6NY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1005","layer":4},{"info":"compute unary expreesion, input=1005, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1005","layer":3},{"info":"number node, value=1767","layer":4},{"info":"number node, value=2462","layer":4},{"info":"compute binary expreesion, left_input=1767, right_input=2462, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3850","layer":3},{"info":"compute binary expreesion, left_input=1005, right_input=3850, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-11550","layer":2},{"info":"compute unary expreesion, input=-11550, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=12034","layer":1},{"info":"number node, value=5548","layer":4},{"info":"number node, value=3268","layer":4},{"info":"compute binary expreesion, left_input=5548, right_input=3268, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=2710","layer":4},{"info":"number node, value=1786","layer":4},{"info":"compute binary expreesion, left_input=2710, right_input=1786, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-404313","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-404313, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=12034, 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":11,"result_base":11,"text":"(≤/(⋰*⋻834⨁⊸⫻)↙⋰*⋻1367⪮%⊝⋰*⋻1939)⋓(⇁⨣⪵⋰*⋻4194⪢⋰*⋻2501+⇶⊼(⋰*⋻2044⪄⋰*⋻1384))=NaN","reverse_text":"NaN=(≤/(⋰*⋻834⨁⊸⫻)↙⋰*⋻1367⪮%⊝⋰*⋻1939)⋓(⇁⨣⪵⋰*⋻4194⪢⋰*⋻2501+⇶⊼(⋰*⋻2044⪄⋰*⋻1384))","cot":[{"info":"⋰*⋻834⨁⊸⫻=⋰*⋻834","layer":3},{"info":"⋰*⋻1367⪮%⊝⋰*⋻1939=⋰*⋻2990","layer":3},{"info":"⋰*⋻834↙⋰*⋻2990=⋰*⋻-8750","layer":2},{"info":"≤/⋰*⋻-8750=⋰*⋻9050","layer":1},{"info":"⋰*⋻4194⪢⋰*⋻2501=NaN","layer":3},{"info":"⋰*⋻2044⪄⋰*⋻1384=⋰*⋻-256848","layer":3},{"info":"NaN+⇶⊼⋰*⋻-256848=NaN","layer":2},{"info":"⇁⨣⪵NaN=NaN","layer":1},{"info":"⋰*⋻9050⋓NaN=NaN","layer":0}]}
{"id":242,"expression_no_base_symbol":"⨵≀≌(($1485$∑⇟⊟$1391$⊉≛↸(≤/$2057$))∸)","expression":"⨵≀≌((⋰*⋻1130∑⇟⊟⋰*⋻1055⊉≛↸(≤/⋰*⋻1600))∸)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":361,"operation_count":5,"complexity_ratio":72.2,"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":1485,"base":11},"right_expr":{"type":"numeric_atoms","value":1391,"base":11}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2057,"base":11}}}}},"used_operators":["srAu1WTS94","o20kRiQErp","DZ8iAZOCBD","U7g4x0WXJJ","eLAdDNolq6"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","tmPS8pqC7x","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z"],"result":"⋰*⋻215A1","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1485","layer":4},{"info":"number node, value=1391","layer":4},{"info":"compute binary expreesion, left_input=1485, right_input=1391, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=2057","layer":4},{"info":"compute unary expreesion, input=2057, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1573","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1573, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"compute unary expreesion, input=177, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=31329","layer":0}],"base":11,"result_base":11,"text":"⨵≀≌((⋰*⋻1130∑⇟⊟⋰*⋻1055⊉≛↸(≤/⋰*⋻1600))∸)=⋰*⋻215A1","reverse_text":"⋰*⋻215A1=⨵≀≌((⋰*⋻1130∑⇟⊟⋰*⋻1055⊉≛↸(≤/⋰*⋻1600))∸)","cot":[{"info":"⋰*⋻1130∑⇟⊟⋰*⋻1055=NaN","layer":3},{"info":"≤/⋰*⋻1600=⋰*⋻-1200","layer":3},{"info":"NaN⊉≛↸⋰*⋻-1200=NaN","layer":2},{"info":"NaN∸=⋰*⋻151","layer":1},{"info":"⨵≀≌⋰*⋻151=⋰*⋻215A1","layer":0}]}
{"id":243,"expression_no_base_symbol":"((⫓⪴($2264$+⇶⊼$1168$))⫡⨏($1027$⋷$2560$)⩨$2230$⪛$1979$)+⇶⊼(($1614$⪒$4234$)⨐⩸⫘$1730$∑⇟⊟$1660$↙($1095$⩨$4550$)⪢$3850$⪢$1179$)","expression":"((⫓⪴(⋰*⋻1779+⇶⊼⋰*⋻972))⫡⨏(⋰*⋻854⋷⋰*⋻1A18)⩨⋰*⋻1748⪛⋰*⋻153A)+⇶⊼((⋰*⋻1238⪒⋰*⋻31AA)⨐⩸⫘⋰*⋻1333∑⇟⊟⋰*⋻127A↙(⋰*⋻906⩨⋰*⋻3467)⪢⋰*⋻2990⪢⋰*⋻982)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1361,"operation_count":14,"complexity_ratio":97.21428571428571,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2264,"base":11},"right_expr":{"type":"numeric_atoms","value":1168,"base":11}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1027,"base":11},"right_expr":{"type":"numeric_atoms","value":2560,"base":11}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2230,"base":11},"right_expr":{"type":"numeric_atoms","value":1979,"base":11}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1614,"base":11},"right_expr":{"type":"numeric_atoms","value":4234,"base":11}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1730,"base":11},"right_expr":{"type":"numeric_atoms","value":1660,"base":11}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1095,"base":11},"right_expr":{"type":"numeric_atoms","value":4550,"base":11}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3850,"base":11},"right_expr":{"type":"numeric_atoms","value":1179,"base":11}}}}},"used_operators":["TpPTUOHfaN","QMFrweE19q","eLxqMNBOBk","2DlMacCsIx","23Mk6UjR3U","uFcxV4UQCh","yyfyN0ffXY","fu6greOZ01","f6k1SAg4EE","U7g4x0WXJJ","dWAJyo7jo9"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","tmPS8pqC7x","DpFCA1CohY","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2264","layer":4},{"info":"number node, value=1168","layer":4},{"info":"compute binary expreesion, left_input=2264, right_input=1168, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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 = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":2},{"info":"number node, value=1027","layer":4},{"info":"number node, value=2560","layer":4},{"info":"compute binary expreesion, left_input=1027, right_input=2560, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=4093","layer":3},{"info":"number node, value=2230","layer":4},{"info":"number node, value=1979","layer":4},{"info":"compute binary expreesion, left_input=2230, right_input=1979, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=251","layer":3},{"info":"compute binary expreesion, left_input=4093, right_input=251, 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 = 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=1614","layer":4},{"info":"number node, value=4234","layer":4},{"info":"compute binary expreesion, left_input=1614, right_input=4234, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5848","layer":3},{"info":"number node, value=1730","layer":4},{"info":"number node, value=1660","layer":4},{"info":"compute binary expreesion, left_input=1730, right_input=1660, 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=-5848, 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=1095","layer":4},{"info":"number node, value=4550","layer":4},{"info":"compute binary expreesion, left_input=1095, right_input=4550, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-12","layer":3},{"info":"number node, value=3850","layer":4},{"info":"number node, value=1179","layer":4},{"info":"compute binary expreesion, left_input=3850, right_input=1179, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=-12, 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 = 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 = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⫓⪴(⋰*⋻1779+⇶⊼⋰*⋻972))⫡⨏(⋰*⋻854⋷⋰*⋻1A18)⩨⋰*⋻1748⪛⋰*⋻153A)+⇶⊼((⋰*⋻1238⪒⋰*⋻31AA)⨐⩸⫘⋰*⋻1333∑⇟⊟⋰*⋻127A↙(⋰*⋻906⩨⋰*⋻3467)⪢⋰*⋻2990⪢⋰*⋻982)=NaN","reverse_text":"NaN=((⫓⪴(⋰*⋻1779+⇶⊼⋰*⋻972))⫡⨏(⋰*⋻854⋷⋰*⋻1A18)⩨⋰*⋻1748⪛⋰*⋻153A)+⇶⊼((⋰*⋻1238⪒⋰*⋻31AA)⨐⩸⫘⋰*⋻1333∑⇟⊟⋰*⋻127A↙(⋰*⋻906⩨⋰*⋻3467)⪢⋰*⋻2990⪢⋰*⋻982)","cot":[{"info":"⋰*⋻1779+⇶⊼⋰*⋻972=NaN","layer":3},{"info":"⫓⪴NaN=NaN","layer":2},{"info":"⋰*⋻854⋷⋰*⋻1A18=⋰*⋻3091","layer":3},{"info":"⋰*⋻1748⪛⋰*⋻153A=⋰*⋻209","layer":3},{"info":"⋰*⋻3091⩨⋰*⋻209=⋰*⋻0","layer":2},{"info":"NaN⫡⨏⋰*⋻0=NaN","layer":1},{"info":"⋰*⋻1238⪒⋰*⋻31AA=⋰*⋻-4437","layer":3},{"info":"⋰*⋻1333∑⇟⊟⋰*⋻127A=NaN","layer":3},{"info":"⋰*⋻-4437⨐⩸⫘NaN=NaN","layer":2},{"info":"⋰*⋻906⩨⋰*⋻3467=⋰*⋻-11","layer":3},{"info":"⋰*⋻2990⪢⋰*⋻982=NaN","layer":3},{"info":"⋰*⋻-11⪢NaN=NaN","layer":2},{"info":"NaN↙NaN=NaN","layer":1},{"info":"NaN+⇶⊼NaN=NaN","layer":0}]}
{"id":244,"expression_no_base_symbol":"↯⪼($3413$≹⇙⪍$6999$⇼⇔∾$1498$⨓$6936$)⪮%⊝(∂($8976$⊭∹↮))","expression":"↯⪼(⋰*⋻2623≹⇙⪍⋰*⋻5293⇼⇔∾⋰*⋻1142⨓⋰*⋻5236)⪮%⊝(∂(⋰*⋻6820⊭∹↮))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":6992,"operation_count":7,"complexity_ratio":998.8571428571429,"tree":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3413,"base":11},"right_expr":{"type":"numeric_atoms","value":6999,"base":11}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1498,"base":11},"right_expr":{"type":"numeric_atoms","value":6936,"base":11}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":8976,"base":11}}}}},"used_operators":["8jW3W4yZS5","IWmyXbctLI","tifHPKVTfV","AHs5Up7iyr","3ViojmjbAp","Uaa54Peajs","xNBdhnnwKq"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C"],"result":"⋰*⋻-1A","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3413","layer":4},{"info":"number node, value=6999","layer":4},{"info":"compute binary expreesion, left_input=3413, right_input=6999, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=1498","layer":4},{"info":"number node, value=6936","layer":4},{"info":"compute binary expreesion, left_input=1498, right_input=6936, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-6939","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6939, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"number node, value=8976","layer":4},{"info":"compute unary expreesion, input=8976, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=17952","layer":3},{"info":"compute unary expreesion, input=17952, 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 = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', 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":11,"result_base":11,"text":"↯⪼(⋰*⋻2623≹⇙⪍⋰*⋻5293⇼⇔∾⋰*⋻1142⨓⋰*⋻5236)⪮%⊝(∂(⋰*⋻6820⊭∹↮))=⋰*⋻-1A","reverse_text":"⋰*⋻-1A=↯⪼(⋰*⋻2623≹⇙⪍⋰*⋻5293⇼⇔∾⋰*⋻1142⨓⋰*⋻5236)⪮%⊝(∂(⋰*⋻6820⊭∹↮))","cot":[{"info":"⋰*⋻2623≹⇙⪍⋰*⋻5293=NaN","layer":3},{"info":"⋰*⋻1142⨓⋰*⋻5236=⋰*⋻-5239","layer":3},{"info":"NaN⇼⇔∾⋰*⋻-5239=NaN","layer":2},{"info":"⋰*⋻6820⊭∹↮=⋰*⋻12540","layer":3},{"info":"∂⋰*⋻12540=NaN","layer":2},{"info":"NaN⪮%⊝NaN=NaN","layer":1},{"info":"↯⪼NaN=⋰*⋻-1A","layer":0}]}
{"id":245,"expression_no_base_symbol":"↣≠⋷((↣≠⋷$1100$)⨽($1880$⩤)%($1703$⋓$1550$)⪘⫢(⨵≀≌$2331$))","expression":"↣≠⋷((↣≠⋷⋰*⋻910)⨽(⋰*⋻145A⩤)%(⋰*⋻1309⋓⋰*⋻118A)⪘⫢(⨵≀≌⋰*⋻182A))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":43,"operation_count":8,"complexity_ratio":5.375,"tree":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1100,"base":11}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1880,"base":11}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1703,"base":11},"right_expr":{"type":"numeric_atoms","value":1550,"base":11}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":2331,"base":11}}}}},"used_operators":["Asc51vEJeQ","k8jYdgA6NY","8HhzD0ZcuI","Z2TMIBDE3Q","oacrs7FA3X","T2fj7uvVaJ","srAu1WTS94"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1100","layer":4},{"info":"compute unary expreesion, input=1100, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=1880","layer":4},{"info":"compute unary expreesion, input=1880, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1880","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1880, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"number node, value=1703","layer":4},{"info":"number node, value=1550","layer":4},{"info":"compute binary expreesion, left_input=1703, right_input=1550, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=2331","layer":4},{"info":"compute unary expreesion, input=2331, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-6993","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-6993, 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 = k8jYdgA6NY binary_op_definition= 'None', 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":11,"result_base":11,"text":"↣≠⋷((↣≠⋷⋰*⋻910)⨽(⋰*⋻145A⩤)%(⋰*⋻1309⋓⋰*⋻118A)⪘⫢(⨵≀≌⋰*⋻182A))=NaN","reverse_text":"NaN=↣≠⋷((↣≠⋷⋰*⋻910)⨽(⋰*⋻145A⩤)%(⋰*⋻1309⋓⋰*⋻118A)⪘⫢(⨵≀≌⋰*⋻182A))","cot":[{"info":"↣≠⋷⋰*⋻910=NaN","layer":3},{"info":"⋰*⋻145A⩤=⋰*⋻-145A","layer":3},{"info":"NaN⨽⋰*⋻-145A=NaN","layer":2},{"info":"⋰*⋻1309⋓⋰*⋻118A=⋰*⋻0","layer":3},{"info":"⨵≀≌⋰*⋻182A=⋰*⋻-5288","layer":3},{"info":"⋰*⋻0⪘⫢⋰*⋻-5288=⋰*⋻-1","layer":2},{"info":"NaN%⋰*⋻-1=NaN","layer":1},{"info":"↣≠⋷NaN=NaN","layer":0}]}
{"id":246,"expression_no_base_symbol":"⪲⇎($2485$-$2620$⋷$2382$⫥∨⫟$1722$⨵⪆($4392$⩠)⋓($2349$⊭↱$5697$))","expression":"⪲⇎(⋰*⋻195A-⋰*⋻1A72⋷⋰*⋻1876⫥∨⫟⋰*⋻1326⨵⪆(⋰*⋻3333⩠)⋓(⋰*⋻1846⊭↱⋰*⋻430A))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":197,"operation_count":8,"complexity_ratio":24.625,"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":2485,"base":11},"right_expr":{"type":"numeric_atoms","value":2620,"base":11}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2382,"base":11},"right_expr":{"type":"numeric_atoms","value":1722,"base":11}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":4392,"base":11}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2349,"base":11},"right_expr":{"type":"numeric_atoms","value":5697,"base":11}}}}},"used_operators":["XPYlsWDdGa","2DQ55sFlQl","23Mk6UjR3U","rysDP5nf3Z","KYD54nUTWz","T2fj7uvVaJ","sJAwomhLZr","COABgblf1C"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻271","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=2485","layer":4},{"info":"number node, value=2620","layer":4},{"info":"compute binary expreesion, left_input=2485, right_input=2620, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-135","layer":3},{"info":"number node, value=2382","layer":4},{"info":"number node, value=1722","layer":4},{"info":"compute binary expreesion, left_input=2382, right_input=1722, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-135, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=270","layer":2},{"info":"number node, value=4392","layer":4},{"info":"compute unary expreesion, input=4392, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=2349","layer":4},{"info":"number node, value=5697","layer":4},{"info":"compute binary expreesion, left_input=2349, right_input=5697, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=6701","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=6701, op_id = T2fj7uvVaJ binary_op_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=270, right_input=0, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=320","layer":0}],"base":11,"result_base":11,"text":"⪲⇎(⋰*⋻195A-⋰*⋻1A72⋷⋰*⋻1876⫥∨⫟⋰*⋻1326⨵⪆(⋰*⋻3333⩠)⋓(⋰*⋻1846⊭↱⋰*⋻430A))=⋰*⋻271","reverse_text":"⋰*⋻271=⪲⇎(⋰*⋻195A-⋰*⋻1A72⋷⋰*⋻1876⫥∨⫟⋰*⋻1326⨵⪆(⋰*⋻3333⩠)⋓(⋰*⋻1846⊭↱⋰*⋻430A))","cot":[{"info":"⋰*⋻195A-⋰*⋻1A72=⋰*⋻-113","layer":3},{"info":"⋰*⋻1876⫥∨⫟⋰*⋻1326=NaN","layer":3},{"info":"⋰*⋻-113⋷NaN=⋰*⋻226","layer":2},{"info":"⋰*⋻3333⩠=⋰*⋻0","layer":3},{"info":"⋰*⋻1846⊭↱⋰*⋻430A=⋰*⋻5042","layer":3},{"info":"⋰*⋻0⋓⋰*⋻5042=⋰*⋻0","layer":2},{"info":"⋰*⋻226⨵⪆⋰*⋻0=⋰*⋻136","layer":1},{"info":"⪲⇎⋰*⋻136=⋰*⋻271","layer":0}]}
{"id":247,"expression_no_base_symbol":"(⪲⇎((⨑⩽⪐$2110$)⇼⇔∾($4284$⩨$3443$)))⨟⋌⩍(($1953$⪐)⨰($7592$-$4418$))⊴(↥$5168$)≹⇙⪍($5605$⊠≄⫣)","expression":"(⪲⇎((⨑⩽⪐⋰*⋻1649)⇼⇔∾(⋰*⋻3245⩨⋰*⋻2650)))⨟⋌⩍((⋰*⋻1516⪐)⨰(⋰*⋻5782-⋰*⋻3357))⊴(↥⋰*⋻3979)≹⇙⪍(⋰*⋻4236⊠≄⫣)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":775,"operation_count":12,"complexity_ratio":64.58333333333333,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2110,"base":11}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4284,"base":11},"right_expr":{"type":"numeric_atoms","value":3443,"base":11}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1953,"base":11}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":7592,"base":11},"right_expr":{"type":"numeric_atoms","value":4418,"base":11}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":5168,"base":11}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":5605,"base":11}}}}},"used_operators":["rGHVDoGpnC","XPYlsWDdGa","tifHPKVTfV","AF7qkfDlqP","2DlMacCsIx","Nsiff2A1zJ","eewbuw0ToL","eH2TOUuTDT","rysDP5nf3Z","AHs5Up7iyr","A8NUZmVepG","DIvbN7qnHd"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2110","layer":4},{"info":"compute unary expreesion, input=2110, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1837","layer":3},{"info":"number node, value=4284","layer":4},{"info":"number node, value=3443","layer":4},{"info":"compute binary expreesion, left_input=4284, right_input=3443, 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=-1837, right_input=0, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1837","layer":2},{"info":"compute unary expreesion, input=1837, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3674","layer":1},{"info":"number node, value=1953","layer":4},{"info":"compute unary expreesion, input=1953, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=3906","layer":3},{"info":"number node, value=7592","layer":4},{"info":"number node, value=4418","layer":4},{"info":"compute binary expreesion, left_input=7592, right_input=4418, op_id = rysDP5nf3Z binary_op_definition= 'None', output=3174","layer":3},{"info":"compute binary expreesion, left_input=3906, right_input=3174, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=742","layer":2},{"info":"number node, value=5168","layer":4},{"info":"compute unary expreesion, input=5168, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=17","layer":3},{"info":"number node, value=5605","layer":4},{"info":"compute unary expreesion, input=5605, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=17, 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=17","layer":2},{"info":"compute binary expreesion, left_input=742, right_input=17, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3674, 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":11,"result_base":11,"text":"(⪲⇎((⨑⩽⪐⋰*⋻1649)⇼⇔∾(⋰*⋻3245⩨⋰*⋻2650)))⨟⋌⩍((⋰*⋻1516⪐)⨰(⋰*⋻5782-⋰*⋻3357))⊴(↥⋰*⋻3979)≹⇙⪍(⋰*⋻4236⊠≄⫣)=NaN","reverse_text":"NaN=(⪲⇎((⨑⩽⪐⋰*⋻1649)⇼⇔∾(⋰*⋻3245⩨⋰*⋻2650)))⨟⋌⩍((⋰*⋻1516⪐)⨰(⋰*⋻5782-⋰*⋻3357))⊴(↥⋰*⋻3979)≹⇙⪍(⋰*⋻4236⊠≄⫣)","cot":[{"info":"⨑⩽⪐⋰*⋻1649=⋰*⋻-1420","layer":3},{"info":"⋰*⋻3245⩨⋰*⋻2650=⋰*⋻0","layer":3},{"info":"⋰*⋻-1420⇼⇔∾⋰*⋻0=⋰*⋻1420","layer":2},{"info":"⪲⇎⋰*⋻1420=⋰*⋻2840","layer":1},{"info":"⋰*⋻1516⪐=⋰*⋻2A31","layer":3},{"info":"⋰*⋻5782-⋰*⋻3357=⋰*⋻2426","layer":3},{"info":"⋰*⋻2A31⨰⋰*⋻2426=⋰*⋻615","layer":2},{"info":"↥⋰*⋻3979=⋰*⋻16","layer":3},{"info":"⋰*⋻4236⊠≄⫣=⋰*⋻0","layer":3},{"info":"⋰*⋻16≹⇙⪍⋰*⋻0=⋰*⋻16","layer":2},{"info":"⋰*⋻615⊴⋰*⋻16=NaN","layer":1},{"info":"⋰*⋻2840⨟⋌⩍NaN=NaN","layer":0}]}
{"id":248,"expression_no_base_symbol":"(⪝⪂⫅($5164$⋓$5809$)⪢($1645$⩷∴$4758$))⩚⊴⇥((↽≂($5343$⇼⇔∾$3457$))≣⋋)","expression":"(⪝⪂⫅(⋰*⋻3975⋓⋰*⋻4401)⪢(⋰*⋻1266⩷∴⋰*⋻3636))⩚⊴⇥((↽≂(⋰*⋻4018⇼⇔∾⋰*⋻2663))≣⋋)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6803,"operation_count":8,"complexity_ratio":850.375,"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":5164,"base":11},"right_expr":{"type":"numeric_atoms","value":5809,"base":11}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1645,"base":11},"right_expr":{"type":"numeric_atoms","value":4758,"base":11}}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":5343,"base":11},"right_expr":{"type":"numeric_atoms","value":3457,"base":11}}}}},"used_operators":["NTOWxs364D","XTarYq4gQB","dWAJyo7jo9","T2fj7uvVaJ","9FxExcQeMw","Tcnh7f0tEr","u6S6b8DprG","tifHPKVTfV"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","8w2t5hMYqp","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5164","layer":4},{"info":"number node, value=5809","layer":4},{"info":"compute binary expreesion, left_input=5164, right_input=5809, op_id = T2fj7uvVaJ binary_op_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=1645","layer":4},{"info":"number node, value=4758","layer":4},{"info":"compute binary expreesion, left_input=1645, right_input=4758, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-6258","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-6258, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":1},{"info":"number node, value=5343","layer":4},{"info":"number node, value=3457","layer":4},{"info":"compute binary expreesion, left_input=5343, right_input=3457, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1886","layer":3},{"info":"compute unary expreesion, input=-1886, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=3772","layer":2},{"info":"compute unary expreesion, input=3772, 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 = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⪝⪂⫅(⋰*⋻3975⋓⋰*⋻4401)⪢(⋰*⋻1266⩷∴⋰*⋻3636))⩚⊴⇥((↽≂(⋰*⋻4018⇼⇔∾⋰*⋻2663))≣⋋)=NaN","reverse_text":"NaN=(⪝⪂⫅(⋰*⋻3975⋓⋰*⋻4401)⪢(⋰*⋻1266⩷∴⋰*⋻3636))⩚⊴⇥((↽≂(⋰*⋻4018⇼⇔∾⋰*⋻2663))≣⋋)","cot":[{"info":"⋰*⋻3975⋓⋰*⋻4401=⋰*⋻0","layer":3},{"info":"⋰*⋻1266⩷∴⋰*⋻3636=⋰*⋻-477A","layer":3},{"info":"⋰*⋻0⪢⋰*⋻-477A=NaN","layer":2},{"info":"⪝⪂⫅NaN=NaN","layer":1},{"info":"⋰*⋻4018⇼⇔∾⋰*⋻2663=⋰*⋻-1465","layer":3},{"info":"↽≂⋰*⋻-1465=⋰*⋻291A","layer":2},{"info":"⋰*⋻291A≣⋋=⋰*⋻0","layer":1},{"info":"NaN⩚⊴⇥⋰*⋻0=NaN","layer":0}]}
{"id":249,"expression_no_base_symbol":"(($1005$⋳⪒$4192$∲⫓$2713$≎⊠⪸$1083$)⫩⊇)⋫","expression":"((⋰*⋻834⋳⪒⋰*⋻3171∲⫓⋰*⋻2047≎⊠⪸⋰*⋻8A5)⫩⊇)⋫","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":323,"operation_count":5,"complexity_ratio":64.6,"tree":{"type":"unary","operator":"⋫","unary_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1005,"base":11},"right_expr":{"type":"numeric_atoms","value":4192,"base":11}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2713,"base":11},"right_expr":{"type":"numeric_atoms","value":1083,"base":11}}}}},"used_operators":["JL8yIekQnl","BjRHVeLaeN","i8ToyICDmI","12rbrZMWeM","bJkvcejdHO"],"dependent_operators":["tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⋰*⋻39","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1005","layer":4},{"info":"number node, value=4192","layer":4},{"info":"compute binary expreesion, left_input=1005, right_input=4192, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-2469","layer":3},{"info":"number node, value=2713","layer":4},{"info":"number node, value=1083","layer":4},{"info":"compute binary expreesion, left_input=2713, right_input=1083, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=702194","layer":3},{"info":"compute binary expreesion, left_input=-2469, right_input=702194, 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 = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=42","layer":1},{"info":"compute unary expreesion, input=42, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=42","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻834⋳⪒⋰*⋻3171∲⫓⋰*⋻2047≎⊠⪸⋰*⋻8A5)⫩⊇)⋫=⋰*⋻39","reverse_text":"⋰*⋻39=((⋰*⋻834⋳⪒⋰*⋻3171∲⫓⋰*⋻2047≎⊠⪸⋰*⋻8A5)⫩⊇)⋫","cot":[{"info":"⋰*⋻834⋳⪒⋰*⋻3171=⋰*⋻-1945","layer":3},{"info":"⋰*⋻2047≎⊠⪸⋰*⋻8A5=⋰*⋻43A629","layer":3},{"info":"⋰*⋻-1945∲⫓⋰*⋻43A629=⋰*⋻0","layer":2},{"info":"⋰*⋻0⫩⊇=⋰*⋻39","layer":1},{"info":"⋰*⋻39⋫=⋰*⋻39","layer":0}]}
{"id":250,"expression_no_base_symbol":"(($4905$⨪↰⇹$1765$*$2738$↺$3125$)↙(⩦⩻⨪$2141$⨪↰⇹$4805$))+⇶⊼((-($5539$/$1638$))⨵⪆$6389$↙$2893$%(⊄⩳↩$1973$))","expression":"((⋰*⋻375A⨪↰⇹⋰*⋻1365*⋰*⋻206A↺⋰*⋻2391)↙(⩦⩻⨪⋰*⋻1677⨪↰⇹⋰*⋻3679))+⇶⊼((-(⋰*⋻4186/⋰*⋻125A))⨵⪆⋰*⋻4889↙⋰*⋻21A0%(⊄⩳↩⋰*⋻1534))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":15226,"operation_count":13,"complexity_ratio":1171.2307692307693,"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":4905,"base":11},"right_expr":{"type":"numeric_atoms","value":1765,"base":11}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2738,"base":11},"right_expr":{"type":"numeric_atoms","value":3125,"base":11}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2141,"base":11},"right_expr":{"type":"numeric_atoms","value":4805,"base":11}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":5539,"base":11},"right_expr":{"type":"numeric_atoms","value":1638,"base":11}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":6389,"base":11},"right_expr":{"type":"numeric_atoms","value":2893,"base":11}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1973,"base":11}}}}},"used_operators":["TpPTUOHfaN","yyfyN0ffXY","9HNa5Wba9A","tmPS8pqC7x","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","t8gj7n24qd","XhwjNDsVaA","k8jYdgA6NY","8w2t5hMYqp"],"dependent_operators":["AHs5Up7iyr","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4905","layer":4},{"info":"number node, value=1765","layer":4},{"info":"compute binary expreesion, left_input=4905, right_input=1765, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=4905","layer":3},{"info":"number node, value=2738","layer":4},{"info":"number node, value=3125","layer":4},{"info":"compute binary expreesion, left_input=2738, right_input=3125, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3125","layer":3},{"info":"compute binary expreesion, left_input=4905, right_input=3125, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=15328125","layer":2},{"info":"number node, value=2141","layer":4},{"info":"number node, value=4805","layer":4},{"info":"compute binary expreesion, left_input=2141, right_input=4805, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2141","layer":3},{"info":"compute unary expreesion, input=2141, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2141","layer":2},{"info":"compute binary expreesion, left_input=15328125, right_input=2141, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-6423","layer":1},{"info":"number node, value=5539","layer":4},{"info":"number node, value=1638","layer":4},{"info":"compute binary expreesion, left_input=5539, right_input=1638, op_id = XhwjNDsVaA binary_op_definition= 'None', output=3","layer":3},{"info":"compute unary expreesion, input=3, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-3","layer":2},{"info":"number node, value=6389","layer":4},{"info":"number node, value=2893","layer":4},{"info":"compute binary expreesion, left_input=6389, right_input=2893, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-8679","layer":3},{"info":"number node, value=1973","layer":4},{"info":"compute unary expreesion, input=1973, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-5919","layer":3},{"info":"compute binary expreesion, left_input=-8679, right_input=-5919, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-2760","layer":2},{"info":"compute binary expreesion, left_input=-3, right_input=-2760, 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=-6423, 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":11,"result_base":11,"text":"((⋰*⋻375A⨪↰⇹⋰*⋻1365*⋰*⋻206A↺⋰*⋻2391)↙(⩦⩻⨪⋰*⋻1677⨪↰⇹⋰*⋻3679))+⇶⊼((-(⋰*⋻4186/⋰*⋻125A))⨵⪆⋰*⋻4889↙⋰*⋻21A0%(⊄⩳↩⋰*⋻1534))=NaN","reverse_text":"NaN=((⋰*⋻375A⨪↰⇹⋰*⋻1365*⋰*⋻206A↺⋰*⋻2391)↙(⩦⩻⨪⋰*⋻1677⨪↰⇹⋰*⋻3679))+⇶⊼((-(⋰*⋻4186/⋰*⋻125A))⨵⪆⋰*⋻4889↙⋰*⋻21A0%(⊄⩳↩⋰*⋻1534))","cot":[{"info":"⋰*⋻375A⨪↰⇹⋰*⋻1365=⋰*⋻375A","layer":3},{"info":"⋰*⋻206A↺⋰*⋻2391=⋰*⋻2391","layer":3},{"info":"⋰*⋻375A*⋰*⋻2391=⋰*⋻871A27A","layer":2},{"info":"⋰*⋻1677⨪↰⇹⋰*⋻3679=⋰*⋻1677","layer":3},{"info":"⩦⩻⨪⋰*⋻1677=⋰*⋻1677","layer":2},{"info":"⋰*⋻871A27A↙⋰*⋻1677=⋰*⋻-490A","layer":1},{"info":"⋰*⋻4186/⋰*⋻125A=⋰*⋻3","layer":3},{"info":"-⋰*⋻3=⋰*⋻-3","layer":2},{"info":"⋰*⋻4889↙⋰*⋻21A0=⋰*⋻-6580","layer":3},{"info":"⊄⩳↩⋰*⋻1534=⋰*⋻-44A1","layer":3},{"info":"⋰*⋻-6580%⋰*⋻-44A1=⋰*⋻-208A","layer":2},{"info":"⋰*⋻-3⨵⪆⋰*⋻-208A=⋰*⋻136","layer":1},{"info":"⋰*⋻-490A+⇶⊼⋰*⋻136=NaN","layer":0}]}
{"id":251,"expression_no_base_symbol":"(($3194$≭$2422$)⪮%⊝($2186$≎⊠⪸$1682$)*(≦∁$4005$⇷$1942$))⪄(⫛⫱⨽(≤/$1207$∀⇚≩$2344$))","expression":"((⋰*⋻2444≭⋰*⋻1902)⪮%⊝(⋰*⋻1708≎⊠⪸⋰*⋻129A)*(≦∁⋰*⋻3011⇷⋰*⋻1506))⪄(⫛⫱⨽(≤/⋰*⋻9A8∀⇚≩⋰*⋻1841))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":65741,"operation_count":10,"complexity_ratio":6574.1,"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":3194,"base":11},"right_expr":{"type":"numeric_atoms","value":2422,"base":11}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2186,"base":11},"right_expr":{"type":"numeric_atoms","value":1682,"base":11}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4005,"base":11},"right_expr":{"type":"numeric_atoms","value":1942,"base":11}}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1207,"base":11},"right_expr":{"type":"numeric_atoms","value":2344,"base":11}}}}},"used_operators":["SUmda5xLS4","9HNa5Wba9A","IWmyXbctLI","rxpJgHHUmx","bJkvcejdHO","9ICcGScMcE","mp7IySMOzn","DlLNRPXxWL","eLAdDNolq6","LRNGc0VcxI"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","AHs5Up7iyr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rGHVDoGpnC","rysDP5nf3Z","X99M06cbEe"],"result":"⋰*⋻2A98","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3194","layer":4},{"info":"number node, value=2422","layer":4},{"info":"compute binary expreesion, left_input=3194, right_input=2422, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=2186","layer":4},{"info":"number node, value=1682","layer":4},{"info":"compute binary expreesion, left_input=2186, right_input=1682, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=565701","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=565701, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"number node, value=4005","layer":4},{"info":"number node, value=1942","layer":4},{"info":"compute binary expreesion, left_input=4005, right_input=1942, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3884","layer":3},{"info":"compute unary expreesion, input=3884, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3884","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3884, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1207","layer":4},{"info":"number node, value=2344","layer":4},{"info":"compute binary expreesion, left_input=1207, right_input=2344, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', 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":11,"result_base":11,"text":"((⋰*⋻2444≭⋰*⋻1902)⪮%⊝(⋰*⋻1708≎⊠⪸⋰*⋻129A)*(≦∁⋰*⋻3011⇷⋰*⋻1506))⪄(⫛⫱⨽(≤/⋰*⋻9A8∀⇚≩⋰*⋻1841))=⋰*⋻2A98","reverse_text":"⋰*⋻2A98=((⋰*⋻2444≭⋰*⋻1902)⪮%⊝(⋰*⋻1708≎⊠⪸⋰*⋻129A)*(≦∁⋰*⋻3011⇷⋰*⋻1506))⪄(⫛⫱⨽(≤/⋰*⋻9A8∀⇚≩⋰*⋻1841))","cot":[{"info":"⋰*⋻2444≭⋰*⋻1902=NaN","layer":3},{"info":"⋰*⋻1708≎⊠⪸⋰*⋻129A=⋰*⋻357024","layer":3},{"info":"NaN⪮%⊝⋰*⋻357024=NaN","layer":2},{"info":"⋰*⋻3011⇷⋰*⋻1506=⋰*⋻2A11","layer":3},{"info":"≦∁⋰*⋻2A11=⋰*⋻2A11","layer":2},{"info":"NaN*⋰*⋻2A11=NaN","layer":1},{"info":"⋰*⋻9A8∀⇚≩⋰*⋻1841=NaN","layer":3},{"info":"≤/NaN=NaN","layer":2},{"info":"⫛⫱⨽NaN=NaN","layer":1},{"info":"NaN⪄NaN=⋰*⋻2A98","layer":0}]}
{"id":252,"expression_no_base_symbol":"((⊙↵-$2544$)⩨$5125$≎⊠⪸$3684$)⨟⋌⩍($1374$⨐⩸⫘$4185$*$3640$↙$1974$)⋝⋈⪟(⨵≀≌$7538$⊴$3098$⋥≓≎($2685$∧))","expression":"((⊙↵-⋰*⋻1A03)⩨⋰*⋻393A≎⊠⪸⋰*⋻284A)⨟⋌⩍(⋰*⋻103A⨐⩸⫘⋰*⋻3165*⋰*⋻280A↙⋰*⋻1535)⋝⋈⪟(⨵≀≌⋰*⋻5733⊴⋰*⋻2367⋥≓≎(⋰*⋻2021∧))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1339463,"operation_count":12,"complexity_ratio":111621.91666666667,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2544,"base":11}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":5125,"base":11},"right_expr":{"type":"numeric_atoms","value":3684,"base":11}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1374,"base":11},"right_expr":{"type":"numeric_atoms","value":4185,"base":11}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3640,"base":11},"right_expr":{"type":"numeric_atoms","value":1974,"base":11}}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":7538,"base":11},"right_expr":{"type":"numeric_atoms","value":3098,"base":11}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":2685,"base":11}}}}},"used_operators":["2DDjHMKMc0","rGHVDoGpnC","2DlMacCsIx","oWn0xqSxBt","bJkvcejdHO","9HNa5Wba9A","fu6greOZ01","yyfyN0ffXY","srAu1WTS94","Qy55tPpLXF","Nsiff2A1zJ","z63VuFQld9"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","3ViojmjbAp","tmPS8pqC7x","DpFCA1CohY","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2544","layer":4},{"info":"compute unary expreesion, input=2544, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=5125","layer":4},{"info":"number node, value=3684","layer":4},{"info":"compute binary expreesion, left_input=5125, right_input=3684, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1326902","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=1326902, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=3980706","layer":2},{"info":"number node, value=1374","layer":4},{"info":"number node, value=4185","layer":4},{"info":"compute binary expreesion, left_input=1374, right_input=4185, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=3640","layer":4},{"info":"number node, value=1974","layer":4},{"info":"compute binary expreesion, left_input=3640, right_input=1974, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5922","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5922, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3980706, 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=7538","layer":4},{"info":"number node, value=3098","layer":4},{"info":"compute binary expreesion, left_input=7538, right_input=3098, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=2685","layer":4},{"info":"compute unary expreesion, input=2685, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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 = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=4489","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4489, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⊙↵-⋰*⋻1A03)⩨⋰*⋻393A≎⊠⪸⋰*⋻284A)⨟⋌⩍(⋰*⋻103A⨐⩸⫘⋰*⋻3165*⋰*⋻280A↙⋰*⋻1535)⋝⋈⪟(⨵≀≌⋰*⋻5733⊴⋰*⋻2367⋥≓≎(⋰*⋻2021∧))=NaN","reverse_text":"NaN=((⊙↵-⋰*⋻1A03)⩨⋰*⋻393A≎⊠⪸⋰*⋻284A)⨟⋌⩍(⋰*⋻103A⨐⩸⫘⋰*⋻3165*⋰*⋻280A↙⋰*⋻1535)⋝⋈⪟(⨵≀≌⋰*⋻5733⊴⋰*⋻2367⋥≓≎(⋰*⋻2021∧))","cot":[{"info":"⊙↵-⋰*⋻1A03=⋰*⋻-1","layer":3},{"info":"⋰*⋻393A≎⊠⪸⋰*⋻284A=⋰*⋻826A15","layer":3},{"info":"⋰*⋻-1⩨⋰*⋻826A15=⋰*⋻2279844","layer":2},{"info":"⋰*⋻103A⨐⩸⫘⋰*⋻3165=NaN","layer":3},{"info":"⋰*⋻280A↙⋰*⋻1535=⋰*⋻-44A4","layer":3},{"info":"NaN*⋰*⋻-44A4=NaN","layer":2},{"info":"⋰*⋻2279844⨟⋌⩍NaN=NaN","layer":1},{"info":"⋰*⋻5733⊴⋰*⋻2367=NaN","layer":3},{"info":"⋰*⋻2021∧=NaN","layer":3},{"info":"NaN⋥≓≎NaN=⋰*⋻61","layer":2},{"info":"⨵≀≌⋰*⋻61=⋰*⋻3411","layer":1},{"info":"NaN⋝⋈⪟⋰*⋻3411=NaN","layer":0}]}
{"id":253,"expression_no_base_symbol":"(↽≂($2023$⊭↱$2275$⊉≛↸$2642$∀⇚≩$1430$))⪮%⊝(($2983$⨳⩥⨓$2035$↙$6772$⨰$5693$)≧⫂∧(↣≠⋷($1574$∸)))","expression":"(↽≂(⋰*⋻157A⊭↱⋰*⋻1789⊉≛↸⋰*⋻1A92∀⇚≩⋰*⋻1090))⪮%⊝((⋰*⋻2272⨳⩥⨓⋰*⋻1590↙⋰*⋻50A7⨰⋰*⋻4306)≧⫂∧(↣≠⋷(⋰*⋻1201∸)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":50033,"operation_count":11,"complexity_ratio":4548.454545454545,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2023,"base":11},"right_expr":{"type":"numeric_atoms","value":2275,"base":11}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2642,"base":11},"right_expr":{"type":"numeric_atoms","value":1430,"base":11}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2983,"base":11},"right_expr":{"type":"numeric_atoms","value":2035,"base":11}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":6772,"base":11},"right_expr":{"type":"numeric_atoms","value":5693,"base":11}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":1574,"base":11}}}}},"used_operators":["IWmyXbctLI","u6S6b8DprG","DZ8iAZOCBD","COABgblf1C","LRNGc0VcxI","Ph9nP6C5qx","yyfyN0ffXY","nCS4ZIUYfx","eewbuw0ToL","Asc51vEJeQ","o20kRiQErp"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2023","layer":4},{"info":"number node, value=2275","layer":4},{"info":"compute binary expreesion, left_input=2023, right_input=2275, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=509","layer":3},{"info":"number node, value=2642","layer":4},{"info":"number node, value=1430","layer":4},{"info":"compute binary expreesion, left_input=2642, right_input=1430, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=509, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=1018","layer":2},{"info":"compute unary expreesion, input=1018, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2036","layer":1},{"info":"number node, value=2983","layer":4},{"info":"number node, value=2035","layer":4},{"info":"compute binary expreesion, left_input=2983, right_input=2035, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-948","layer":3},{"info":"number node, value=6772","layer":4},{"info":"number node, value=5693","layer":4},{"info":"compute binary expreesion, left_input=6772, right_input=5693, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1089","layer":3},{"info":"compute binary expreesion, left_input=-948, right_input=1089, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-948","layer":2},{"info":"number node, value=1574","layer":4},{"info":"compute unary expreesion, input=1574, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute unary expreesion, input=177, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-948, 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=-2036, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(↽≂(⋰*⋻157A⊭↱⋰*⋻1789⊉≛↸⋰*⋻1A92∀⇚≩⋰*⋻1090))⪮%⊝((⋰*⋻2272⨳⩥⨓⋰*⋻1590↙⋰*⋻50A7⨰⋰*⋻4306)≧⫂∧(↣≠⋷(⋰*⋻1201∸)))=NaN","reverse_text":"NaN=(↽≂(⋰*⋻157A⊭↱⋰*⋻1789⊉≛↸⋰*⋻1A92∀⇚≩⋰*⋻1090))⪮%⊝((⋰*⋻2272⨳⩥⨓⋰*⋻1590↙⋰*⋻50A7⨰⋰*⋻4306)≧⫂∧(↣≠⋷(⋰*⋻1201∸)))","cot":[{"info":"⋰*⋻157A⊭↱⋰*⋻1789=⋰*⋻423","layer":3},{"info":"⋰*⋻1A92∀⇚≩⋰*⋻1090=NaN","layer":3},{"info":"⋰*⋻423⊉≛↸NaN=⋰*⋻846","layer":2},{"info":"↽≂⋰*⋻846=⋰*⋻-1591","layer":1},{"info":"⋰*⋻2272⨳⩥⨓⋰*⋻1590=⋰*⋻-792","layer":3},{"info":"⋰*⋻50A7⨰⋰*⋻4306=⋰*⋻900","layer":3},{"info":"⋰*⋻-792↙⋰*⋻900=⋰*⋻-792","layer":2},{"info":"⋰*⋻1201∸=⋰*⋻151","layer":3},{"info":"↣≠⋷⋰*⋻151=NaN","layer":2},{"info":"⋰*⋻-792≧⫂∧NaN=NaN","layer":1},{"info":"⋰*⋻-1591⪮%⊝NaN=NaN","layer":0}]}
{"id":254,"expression_no_base_symbol":"((≤/(⨈⫕$3857$))⪒(+⊝⨔$8805$)⪢($6443$⇼⇔∾$2534$))⪢((↽≂$4579$)⋝⋈⪟($6235$∲⫓$4437$)⇼⇔∾($7893$↺$2111$)⇷($5908$⋝⋈⪟$4680$))","expression":"((≤/(⨈⫕⋰*⋻2997))⪒(+⊝⨔⋰*⋻6685)⪢(⋰*⋻4928⇼⇔∾⋰*⋻19A4))⪢((↽≂⋰*⋻3493)⋝⋈⪟(⋰*⋻4759∲⫓⋰*⋻3374)⇼⇔∾(⋰*⋻5A26↺⋰*⋻164A)⇷(⋰*⋻4491⋝⋈⪟⋰*⋻3575))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":54890,"operation_count":14,"complexity_ratio":3920.714285714286,"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":3857,"base":11}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":8805,"base":11}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":6443,"base":11},"right_expr":{"type":"numeric_atoms","value":2534,"base":11}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":4579,"base":11}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":6235,"base":11},"right_expr":{"type":"numeric_atoms","value":4437,"base":11}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":7893,"base":11},"right_expr":{"type":"numeric_atoms","value":2111,"base":11}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":5908,"base":11},"right_expr":{"type":"numeric_atoms","value":4680,"base":11}}}}},"used_operators":["dWAJyo7jo9","f6k1SAg4EE","eLAdDNolq6","megm06wKyl","DhbWaqg5eL","tifHPKVTfV","2DDjHMKMc0","u6S6b8DprG","i8ToyICDmI","mp7IySMOzn","7j4O788W3g"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3857","layer":4},{"info":"compute unary expreesion, input=3857, 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 = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=505","layer":2},{"info":"number node, value=8805","layer":4},{"info":"compute unary expreesion, input=8805, 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=6443","layer":4},{"info":"number node, value=2534","layer":4},{"info":"compute binary expreesion, left_input=6443, right_input=2534, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-3909","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=-3909, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=505, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=4579","layer":4},{"info":"compute unary expreesion, input=4579, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-9158","layer":3},{"info":"number node, value=6235","layer":4},{"info":"number node, value=4437","layer":4},{"info":"compute binary expreesion, left_input=6235, right_input=4437, 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=-9158, right_input=0, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-9158","layer":2},{"info":"number node, value=7893","layer":4},{"info":"number node, value=2111","layer":4},{"info":"compute binary expreesion, left_input=7893, right_input=2111, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2111","layer":3},{"info":"number node, value=5908","layer":4},{"info":"number node, value=4680","layer":4},{"info":"compute binary expreesion, left_input=5908, right_input=4680, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5908","layer":3},{"info":"compute binary expreesion, left_input=2111, right_input=5908, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=11816","layer":2},{"info":"compute binary expreesion, left_input=-9158, right_input=11816, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=20974","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=20974, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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":11,"result_base":11,"text":"((≤/(⨈⫕⋰*⋻2997))⪒(+⊝⨔⋰*⋻6685)⪢(⋰*⋻4928⇼⇔∾⋰*⋻19A4))⪢((↽≂⋰*⋻3493)⋝⋈⪟(⋰*⋻4759∲⫓⋰*⋻3374)⇼⇔∾(⋰*⋻5A26↺⋰*⋻164A)⇷(⋰*⋻4491⋝⋈⪟⋰*⋻3575))=NaN","reverse_text":"NaN=((≤/(⨈⫕⋰*⋻2997))⪒(+⊝⨔⋰*⋻6685)⪢(⋰*⋻4928⇼⇔∾⋰*⋻19A4))⪢((↽≂⋰*⋻3493)⋝⋈⪟(⋰*⋻4759∲⫓⋰*⋻3374)⇼⇔∾(⋰*⋻5A26↺⋰*⋻164A)⇷(⋰*⋻4491⋝⋈⪟⋰*⋻3575))","cot":[{"info":"⨈⫕⋰*⋻2997=⋰*⋻-1A","layer":3},{"info":"≤/⋰*⋻-1A=⋰*⋻41A","layer":2},{"info":"+⊝⨔⋰*⋻6685=⋰*⋻1164","layer":3},{"info":"⋰*⋻4928⇼⇔∾⋰*⋻19A4=⋰*⋻-2A34","layer":3},{"info":"⋰*⋻1164⪢⋰*⋻-2A34=NaN","layer":2},{"info":"⋰*⋻41A⪒NaN=NaN","layer":1},{"info":"↽≂⋰*⋻3493=⋰*⋻-6976","layer":3},{"info":"⋰*⋻4759∲⫓⋰*⋻3374=⋰*⋻0","layer":3},{"info":"⋰*⋻-6976⋝⋈⪟⋰*⋻0=⋰*⋻-6976","layer":2},{"info":"⋰*⋻5A26↺⋰*⋻164A=⋰*⋻164A","layer":3},{"info":"⋰*⋻4491⋝⋈⪟⋰*⋻3575=⋰*⋻4491","layer":3},{"info":"⋰*⋻164A⇷⋰*⋻4491=⋰*⋻8972","layer":2},{"info":"⋰*⋻-6976⇼⇔∾⋰*⋻8972=⋰*⋻14838","layer":1},{"info":"NaN⪢⋰*⋻14838=NaN","layer":0}]}
{"id":255,"expression_no_base_symbol":"⨞⊢((↩$5133$)⪛(≉$1712$)↺(∥⊫($1495$⫡⨏$1847$)))","expression":"⨞⊢((↩⋰*⋻3947)⪛(≉⋰*⋻1317)↺(∥⊫(⋰*⋻113A⫡⨏⋰*⋻142A)))","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":53,"operation_count":7,"complexity_ratio":7.571428571428571,"tree":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":5133,"base":11}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1712,"base":11}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1495,"base":11},"right_expr":{"type":"numeric_atoms","value":1847,"base":11}}}}},"used_operators":["xUOZtlo3hN","7j4O788W3g","uFcxV4UQCh","jLgFTUHLKL","e1ybzncUwg","P8v4zCKN1o","QMFrweE19q"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻-9843","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5133","layer":4},{"info":"compute unary expreesion, input=5133, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-38284","layer":3},{"info":"number node, value=1712","layer":4},{"info":"compute unary expreesion, input=1712, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2243","layer":3},{"info":"compute binary expreesion, left_input=-38284, right_input=2243, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2090","layer":2},{"info":"number node, value=1495","layer":4},{"info":"number node, value=1847","layer":4},{"info":"compute binary expreesion, left_input=1495, right_input=1847, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=11952","layer":3},{"info":"compute unary expreesion, input=11952, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=12820","layer":2},{"info":"compute binary expreesion, left_input=2090, right_input=12820, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=12820","layer":1},{"info":"compute unary expreesion, input=12820, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-12994","layer":0}],"base":11,"result_base":11,"text":"⨞⊢((↩⋰*⋻3947)⪛(≉⋰*⋻1317)↺(∥⊫(⋰*⋻113A⫡⨏⋰*⋻142A)))=⋰*⋻-9843","reverse_text":"⋰*⋻-9843=⨞⊢((↩⋰*⋻3947)⪛(≉⋰*⋻1317)↺(∥⊫(⋰*⋻113A⫡⨏⋰*⋻142A)))","cot":[{"info":"↩⋰*⋻3947=⋰*⋻-26844","layer":3},{"info":"≉⋰*⋻1317=⋰*⋻175A","layer":3},{"info":"⋰*⋻-26844⪛⋰*⋻175A=⋰*⋻1630","layer":2},{"info":"⋰*⋻113A⫡⨏⋰*⋻142A=⋰*⋻8A86","layer":3},{"info":"∥⊫⋰*⋻8A86=⋰*⋻96A5","layer":2},{"info":"⋰*⋻1630↺⋰*⋻96A5=⋰*⋻96A5","layer":1},{"info":"⨞⊢⋰*⋻96A5=⋰*⋻-9843","layer":0}]}
{"id":256,"expression_no_base_symbol":"(⩦⩻⨪($6815$⩷∴$2913$)↬$6817$⨪↰⇹$1123$)≧⫂∧($2416$≎⊠⪸$8438$⫡⨏$3652$⋓$1594$+(⨈⫕$3516$)⫸⊐$7375$≎⊠⪸$1726$)","expression":"(⩦⩻⨪(⋰*⋻5136⩷∴⋰*⋻2209)↬⋰*⋻5138⨪↰⇹⋰*⋻931)≧⫂∧(⋰*⋻18A7≎⊠⪸⋰*⋻6381⫡⨏⋰*⋻2820⋓⋰*⋻121A+(⨈⫕⋰*⋻2707)⫸⊐⋰*⋻55A5≎⊠⪸⋰*⋻132A)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":7779,"operation_count":12,"complexity_ratio":648.25,"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":6815,"base":11},"right_expr":{"type":"numeric_atoms","value":2913,"base":11}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":6817,"base":11},"right_expr":{"type":"numeric_atoms","value":1123,"base":11}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2416,"base":11},"right_expr":{"type":"numeric_atoms","value":8438,"base":11}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3652,"base":11},"right_expr":{"type":"numeric_atoms","value":1594,"base":11}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":3516,"base":11}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":7375,"base":11},"right_expr":{"type":"numeric_atoms","value":1726,"base":11}}}}},"used_operators":["Ph9nP6C5qx","2td37pGCOC","B5M0gjZbta","9FxExcQeMw","tmPS8pqC7x","W4YGzv6Whe","QMFrweE19q","bJkvcejdHO","T2fj7uvVaJ","mqXw5SEYmG","megm06wKyl"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"⋰*⋻1846504","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6815","layer":4},{"info":"number node, value=2913","layer":4},{"info":"compute binary expreesion, left_input=6815, right_input=2913, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=7772","layer":3},{"info":"number node, value=6817","layer":4},{"info":"number node, value=1123","layer":4},{"info":"compute binary expreesion, left_input=6817, right_input=1123, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=6817","layer":3},{"info":"compute binary expreesion, left_input=7772, right_input=6817, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":1},{"info":"number node, value=2416","layer":4},{"info":"number node, value=8438","layer":4},{"info":"compute binary expreesion, left_input=2416, right_input=8438, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=625271","layer":3},{"info":"number node, value=3652","layer":4},{"info":"number node, value=1594","layer":4},{"info":"compute binary expreesion, left_input=3652, right_input=1594, op_id = T2fj7uvVaJ binary_op_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=625271, 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=3127138","layer":2},{"info":"number node, value=3516","layer":4},{"info":"compute unary expreesion, input=3516, 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=7375","layer":4},{"info":"number node, value=1726","layer":4},{"info":"compute binary expreesion, left_input=7375, right_input=1726, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1909652","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=1909652, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=463","layer":2},{"info":"compute binary expreesion, left_input=3127138, right_input=463, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3127601","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3127601, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3127128","layer":0}],"base":11,"result_base":11,"text":"(⩦⩻⨪(⋰*⋻5136⩷∴⋰*⋻2209)↬⋰*⋻5138⨪↰⇹⋰*⋻931)≧⫂∧(⋰*⋻18A7≎⊠⪸⋰*⋻6381⫡⨏⋰*⋻2820⋓⋰*⋻121A+(⨈⫕⋰*⋻2707)⫸⊐⋰*⋻55A5≎⊠⪸⋰*⋻132A)=⋰*⋻1846504","reverse_text":"⋰*⋻1846504=(⩦⩻⨪(⋰*⋻5136⩷∴⋰*⋻2209)↬⋰*⋻5138⨪↰⇹⋰*⋻931)≧⫂∧(⋰*⋻18A7≎⊠⪸⋰*⋻6381⫡⨏⋰*⋻2820⋓⋰*⋻121A+(⨈⫕⋰*⋻2707)⫸⊐⋰*⋻55A5≎⊠⪸⋰*⋻132A)","cot":[{"info":"⋰*⋻5136⩷∴⋰*⋻2209=⋰*⋻5926","layer":3},{"info":"⋰*⋻5138⨪↰⇹⋰*⋻931=⋰*⋻5138","layer":3},{"info":"⋰*⋻5926↬⋰*⋻5138=NaN","layer":2},{"info":"⩦⩻⨪NaN=NaN","layer":1},{"info":"⋰*⋻18A7≎⊠⪸⋰*⋻6381=⋰*⋻397859","layer":3},{"info":"⋰*⋻2820⋓⋰*⋻121A=⋰*⋻0","layer":3},{"info":"⋰*⋻397859⫡⨏⋰*⋻0=⋰*⋻1846513","layer":2},{"info":"⨈⫕⋰*⋻2707=⋰*⋻-1A","layer":3},{"info":"⋰*⋻55A5≎⊠⪸⋰*⋻132A=⋰*⋻1094828","layer":3},{"info":"⋰*⋻-1A⫸⊐⋰*⋻1094828=⋰*⋻391","layer":2},{"info":"⋰*⋻1846513+⋰*⋻391=⋰*⋻18468A4","layer":1},{"info":"NaN≧⫂∧⋰*⋻18468A4=⋰*⋻1846504","layer":0}]}
{"id":257,"expression_no_base_symbol":"(((⋗⩬⋾$1950$)%$3241$⪘⫢$2173$)⨳⩥⨓(⊙↵-($2775$⋥≓≎$1648$)))⨓(↽≂(⋗⩬⋾($1518$↪⪝)))","expression":"(((⋗⩬⋾⋰*⋻1513)%⋰*⋻2487⪘⫢⋰*⋻16A6)⨳⩥⨓(⊙↵-(⋰*⋻20A3⋥≓≎⋰*⋻1269)))⨓(↽≂(⋗⩬⋾(⋰*⋻1160↪⪝)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1339,"operation_count":10,"complexity_ratio":133.9,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1950,"base":11}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3241,"base":11},"right_expr":{"type":"numeric_atoms","value":2173,"base":11}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2775,"base":11},"right_expr":{"type":"numeric_atoms","value":1648,"base":11}}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1518,"base":11}}}}},"used_operators":["3ViojmjbAp","nCS4ZIUYfx","k8jYdgA6NY","DpFCA1CohY","oacrs7FA3X","oWn0xqSxBt","Qy55tPpLXF","u6S6b8DprG","l07mrZUIn9"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1950","layer":4},{"info":"compute unary expreesion, input=1950, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-5850","layer":3},{"info":"number node, value=3241","layer":4},{"info":"number node, value=2173","layer":4},{"info":"compute binary expreesion, left_input=3241, right_input=2173, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6358","layer":3},{"info":"compute binary expreesion, left_input=-5850, right_input=6358, op_id = k8jYdgA6NY binary_op_definition= 'None', output=508","layer":2},{"info":"number node, value=2775","layer":4},{"info":"number node, value=1648","layer":4},{"info":"compute binary expreesion, left_input=2775, right_input=1648, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=554","layer":3},{"info":"compute unary expreesion, input=554, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=508, right_input=-1, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-509","layer":1},{"info":"number node, value=1518","layer":4},{"info":"compute unary expreesion, input=1518, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=92874276","layer":3},{"info":"compute unary expreesion, input=92874276, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-278622828","layer":2},{"info":"compute unary expreesion, input=-278622828, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=557245656","layer":1},{"info":"compute binary expreesion, left_input=-509, right_input=557245656, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((⋗⩬⋾⋰*⋻1513)%⋰*⋻2487⪘⫢⋰*⋻16A6)⨳⩥⨓(⊙↵-(⋰*⋻20A3⋥≓≎⋰*⋻1269)))⨓(↽≂(⋗⩬⋾(⋰*⋻1160↪⪝)))=NaN","reverse_text":"NaN=(((⋗⩬⋾⋰*⋻1513)%⋰*⋻2487⪘⫢⋰*⋻16A6)⨳⩥⨓(⊙↵-(⋰*⋻20A3⋥≓≎⋰*⋻1269)))⨓(↽≂(⋗⩬⋾(⋰*⋻1160↪⪝)))","cot":[{"info":"⋗⩬⋾⋰*⋻1513=⋰*⋻-4439","layer":3},{"info":"⋰*⋻2487⪘⫢⋰*⋻16A6=⋰*⋻4860","layer":3},{"info":"⋰*⋻-4439%⋰*⋻4860=⋰*⋻422","layer":2},{"info":"⋰*⋻20A3⋥≓≎⋰*⋻1269=⋰*⋻464","layer":3},{"info":"⊙↵-⋰*⋻464=⋰*⋻-1","layer":2},{"info":"⋰*⋻422⨳⩥⨓⋰*⋻-1=⋰*⋻-423","layer":1},{"info":"⋰*⋻1160↪⪝=⋰*⋻48474900","layer":3},{"info":"⋗⩬⋾⋰*⋻48474900=⋰*⋻-133303500","layer":2},{"info":"↽≂⋰*⋻-133303500=⋰*⋻266606A00","layer":1},{"info":"⋰*⋻-423⨓⋰*⋻266606A00=NaN","layer":0}]}
{"id":258,"expression_no_base_symbol":"($2269$⨟⋌⩍$1452$+$1001$⫸⊐$2862$⨵⪆($3460$⋝⋈⪟$1029$↪⪝))⪮%⊝((↥($1219$⨵⪆$1525$))⋥≓≎(↯⪼($3292$⪒$1766$)))","expression":"(⋰*⋻1783⨟⋌⩍⋰*⋻1100+⋰*⋻830⫸⊐⋰*⋻2172⨵⪆(⋰*⋻2666⋝⋈⪟⋰*⋻856↪⪝))⪮%⊝((↥(⋰*⋻A09⨵⪆⋰*⋻1167))⋥≓≎(↯⪼(⋰*⋻2523⪒⋰*⋻1366)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":763,"operation_count":12,"complexity_ratio":63.583333333333336,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2269,"base":11},"right_expr":{"type":"numeric_atoms","value":1452,"base":11}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1001,"base":11},"right_expr":{"type":"numeric_atoms","value":2862,"base":11}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3460,"base":11},"right_expr":{"type":"numeric_atoms","value":1029,"base":11}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1219,"base":11},"right_expr":{"type":"numeric_atoms","value":1525,"base":11}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3292,"base":11},"right_expr":{"type":"numeric_atoms","value":1766,"base":11}}}}},"used_operators":["IWmyXbctLI","2DQ55sFlQl","W4YGzv6Whe","rGHVDoGpnC","mqXw5SEYmG","l07mrZUIn9","2DDjHMKMc0","Qy55tPpLXF","A8NUZmVepG","8jW3W4yZS5","f6k1SAg4EE"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻529","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2269","layer":4},{"info":"number node, value=1452","layer":4},{"info":"compute binary expreesion, left_input=2269, right_input=1452, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1001","layer":4},{"info":"number node, value=2862","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=2862, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=11323","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=11323, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=3460","layer":4},{"info":"number node, value=1029","layer":4},{"info":"compute binary expreesion, left_input=3460, right_input=1029, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3460","layer":3},{"info":"compute unary expreesion, input=3460, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=211689720","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=211689720, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=1219","layer":4},{"info":"number node, value=1525","layer":4},{"info":"compute binary expreesion, left_input=1219, right_input=1525, 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 = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=7","layer":2},{"info":"number node, value=3292","layer":4},{"info":"number node, value=1766","layer":4},{"info":"compute binary expreesion, left_input=3292, right_input=1766, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5058","layer":3},{"info":"compute unary expreesion, input=-5058, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=9199","layer":2},{"info":"compute binary expreesion, left_input=7, right_input=9199, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=18424","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=18424, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=636","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1783⨟⋌⩍⋰*⋻1100+⋰*⋻830⫸⊐⋰*⋻2172⨵⪆(⋰*⋻2666⋝⋈⪟⋰*⋻856↪⪝))⪮%⊝((↥(⋰*⋻A09⨵⪆⋰*⋻1167))⋥≓≎(↯⪼(⋰*⋻2523⪒⋰*⋻1366)))=⋰*⋻529","reverse_text":"⋰*⋻529=(⋰*⋻1783⨟⋌⩍⋰*⋻1100+⋰*⋻830⫸⊐⋰*⋻2172⨵⪆(⋰*⋻2666⋝⋈⪟⋰*⋻856↪⪝))⪮%⊝((↥(⋰*⋻A09⨵⪆⋰*⋻1167))⋥≓≎(↯⪼(⋰*⋻2523⪒⋰*⋻1366)))","cot":[{"info":"⋰*⋻1783⨟⋌⩍⋰*⋻1100=NaN","layer":3},{"info":"⋰*⋻830⫸⊐⋰*⋻2172=⋰*⋻8564","layer":3},{"info":"NaN+⋰*⋻8564=NaN","layer":2},{"info":"⋰*⋻2666⋝⋈⪟⋰*⋻856=⋰*⋻2666","layer":3},{"info":"⋰*⋻2666↪⪝=⋰*⋻A9547690","layer":2},{"info":"NaN⨵⪆⋰*⋻A9547690=⋰*⋻136","layer":1},{"info":"⋰*⋻A09⨵⪆⋰*⋻1167=⋰*⋻136","layer":3},{"info":"↥⋰*⋻136=⋰*⋻7","layer":2},{"info":"⋰*⋻2523⪒⋰*⋻1366=⋰*⋻-3889","layer":3},{"info":"↯⪼⋰*⋻-3889=⋰*⋻6A03","layer":2},{"info":"⋰*⋻7⋥≓≎⋰*⋻6A03=⋰*⋻1292A","layer":1},{"info":"⋰*⋻136⪮%⊝⋰*⋻1292A=⋰*⋻529","layer":0}]}
{"id":259,"expression_no_base_symbol":"(($4209$⇼⇔∾$5313$)↙($4146$-$7207$))⩷∴($3053$∀⇚≩$2203$)≹⇙⪍($1166$⨽$4330$)⇼⇔∾(⨑⩽⪐$5809$⇷$3442$⨓($1268$⪨≂$7595$))","expression":"((⋰*⋻3187⇼⇔∾⋰*⋻3AA0)↙(⋰*⋻312A-⋰*⋻5462))⩷∴(⋰*⋻2326∀⇚≩⋰*⋻1723)≹⇙⪍(⋰*⋻970⨽⋰*⋻3287)⇼⇔∾(⨑⩽⪐⋰*⋻4401⇷⋰*⋻264A⨓(⋰*⋻A53⪨≂⋰*⋻5785))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":119521,"operation_count":12,"complexity_ratio":9960.083333333334,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":4209,"base":11},"right_expr":{"type":"numeric_atoms","value":5313,"base":11}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4146,"base":11},"right_expr":{"type":"numeric_atoms","value":7207,"base":11}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3053,"base":11},"right_expr":{"type":"numeric_atoms","value":2203,"base":11}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1166,"base":11},"right_expr":{"type":"numeric_atoms","value":4330,"base":11}}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":5809,"base":11},"right_expr":{"type":"numeric_atoms","value":3442,"base":11}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1268,"base":11},"right_expr":{"type":"numeric_atoms","value":7595,"base":11}}}}},"used_operators":["tifHPKVTfV","9FxExcQeMw","yyfyN0ffXY","rysDP5nf3Z","AHs5Up7iyr","LRNGc0VcxI","8HhzD0ZcuI","AF7qkfDlqP","3ViojmjbAp","mp7IySMOzn","sdazOOVcIp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","dWAJyo7jo9","X99M06cbEe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4209","layer":4},{"info":"number node, value=5313","layer":4},{"info":"compute binary expreesion, left_input=4209, right_input=5313, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1104","layer":3},{"info":"number node, value=4146","layer":4},{"info":"number node, value=7207","layer":4},{"info":"compute binary expreesion, left_input=4146, right_input=7207, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3061","layer":3},{"info":"compute binary expreesion, left_input=1104, right_input=-3061, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-9183","layer":2},{"info":"number node, value=3053","layer":4},{"info":"number node, value=2203","layer":4},{"info":"compute binary expreesion, left_input=3053, right_input=2203, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1166","layer":4},{"info":"number node, value=4330","layer":4},{"info":"compute binary expreesion, left_input=1166, right_input=4330, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-4090344","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4090344, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=-9183, 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=5809","layer":4},{"info":"number node, value=3442","layer":4},{"info":"compute binary expreesion, left_input=5809, right_input=3442, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6884","layer":3},{"info":"number node, value=1268","layer":4},{"info":"number node, value=7595","layer":4},{"info":"compute binary expreesion, left_input=1268, right_input=7595, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-12552","layer":3},{"info":"compute binary expreesion, left_input=6884, right_input=-12552, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=12549","layer":2},{"info":"compute unary expreesion, input=12549, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-12276","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-12276, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻3187⇼⇔∾⋰*⋻3AA0)↙(⋰*⋻312A-⋰*⋻5462))⩷∴(⋰*⋻2326∀⇚≩⋰*⋻1723)≹⇙⪍(⋰*⋻970⨽⋰*⋻3287)⇼⇔∾(⨑⩽⪐⋰*⋻4401⇷⋰*⋻264A⨓(⋰*⋻A53⪨≂⋰*⋻5785))=NaN","reverse_text":"NaN=((⋰*⋻3187⇼⇔∾⋰*⋻3AA0)↙(⋰*⋻312A-⋰*⋻5462))⩷∴(⋰*⋻2326∀⇚≩⋰*⋻1723)≹⇙⪍(⋰*⋻970⨽⋰*⋻3287)⇼⇔∾(⨑⩽⪐⋰*⋻4401⇷⋰*⋻264A⨓(⋰*⋻A53⪨≂⋰*⋻5785))","cot":[{"info":"⋰*⋻3187⇼⇔∾⋰*⋻3AA0=⋰*⋻914","layer":3},{"info":"⋰*⋻312A-⋰*⋻5462=⋰*⋻-2333","layer":3},{"info":"⋰*⋻914↙⋰*⋻-2333=⋰*⋻-6999","layer":2},{"info":"⋰*⋻2326∀⇚≩⋰*⋻1723=NaN","layer":3},{"info":"⋰*⋻970⨽⋰*⋻3287=⋰*⋻-2344155","layer":3},{"info":"NaN≹⇙⪍⋰*⋻-2344155=NaN","layer":2},{"info":"⋰*⋻-6999⩷∴NaN=NaN","layer":1},{"info":"⋰*⋻4401⇷⋰*⋻264A=⋰*⋻5199","layer":3},{"info":"⋰*⋻A53⪨≂⋰*⋻5785=⋰*⋻-9481","layer":3},{"info":"⋰*⋻5199⨓⋰*⋻-9481=⋰*⋻9479","layer":2},{"info":"⨑⩽⪐⋰*⋻9479=⋰*⋻-9250","layer":1},{"info":"NaN⇼⇔∾⋰*⋻-9250=NaN","layer":0}]}
{"id":260,"expression_no_base_symbol":"((⨞⊢$1849$⩚⊴⇥$6460$)+⇶⊼($3843$∸)∑⇟⊟$1058$↬$6198$)∀⇚≩($1780$⩚⊴⇥$2589$⋳⪒$2160$⩚⊴⇥$7283$)⪘⫢($6498$⊭↱$2116$+$1097$⨽$4114$)","expression":"((⨞⊢⋰*⋻1431⩚⊴⇥⋰*⋻4943)+⇶⊼(⋰*⋻2984∸)∑⇟⊟⋰*⋻882↬⋰*⋻4725)∀⇚≩(⋰*⋻1379⩚⊴⇥⋰*⋻1A44⋳⪒⋰*⋻1694⩚⊴⇥⋰*⋻5521)⪘⫢(⋰*⋻4978⊭↱⋰*⋻1654+⋰*⋻908⨽⋰*⋻3100)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1321,"operation_count":14,"complexity_ratio":94.35714285714286,"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":1849,"base":11},"right_expr":{"type":"numeric_atoms","value":6460,"base":11}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":3843,"base":11}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1058,"base":11},"right_expr":{"type":"numeric_atoms","value":6198,"base":11}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1780,"base":11},"right_expr":{"type":"numeric_atoms","value":2589,"base":11}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2160,"base":11},"right_expr":{"type":"numeric_atoms","value":7283,"base":11}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":6498,"base":11},"right_expr":{"type":"numeric_atoms","value":2116,"base":11}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1097,"base":11},"right_expr":{"type":"numeric_atoms","value":4114,"base":11}}}}},"used_operators":["LRNGc0VcxI","TpPTUOHfaN","xUOZtlo3hN","NTOWxs364D","U7g4x0WXJJ","o20kRiQErp","B5M0gjZbta","oacrs7FA3X","12rbrZMWeM","W4YGzv6Whe","COABgblf1C","8HhzD0ZcuI"],"dependent_operators":["X99M06cbEe","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","tmPS8pqC7x","rGHVDoGpnC","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1849","layer":4},{"info":"number node, value=6460","layer":4},{"info":"compute binary expreesion, left_input=1849, right_input=6460, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8430","layer":3},{"info":"compute unary expreesion, input=-8430, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=8256","layer":2},{"info":"number node, value=3843","layer":4},{"info":"compute unary expreesion, input=3843, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=1058","layer":4},{"info":"number node, value=6198","layer":4},{"info":"compute binary expreesion, left_input=1058, right_input=6198, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=177, 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=8256, 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=1780","layer":4},{"info":"number node, value=2589","layer":4},{"info":"compute binary expreesion, left_input=1780, right_input=2589, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4490","layer":3},{"info":"number node, value=2160","layer":4},{"info":"number node, value=7283","layer":4},{"info":"compute binary expreesion, left_input=2160, right_input=7283, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-9564","layer":3},{"info":"compute binary expreesion, left_input=-4490, right_input=-9564, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=297","layer":2},{"info":"number node, value=6498","layer":4},{"info":"number node, value=2116","layer":4},{"info":"compute binary expreesion, left_input=6498, right_input=2116, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-8759","layer":3},{"info":"number node, value=1097","layer":4},{"info":"number node, value=4114","layer":4},{"info":"compute binary expreesion, left_input=1097, right_input=4114, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3621255","layer":3},{"info":"compute binary expreesion, left_input=-8759, right_input=-3621255, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-3630014","layer":2},{"info":"compute binary expreesion, left_input=297, right_input=-3630014, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⨞⊢⋰*⋻1431⩚⊴⇥⋰*⋻4943)+⇶⊼(⋰*⋻2984∸)∑⇟⊟⋰*⋻882↬⋰*⋻4725)∀⇚≩(⋰*⋻1379⩚⊴⇥⋰*⋻1A44⋳⪒⋰*⋻1694⩚⊴⇥⋰*⋻5521)⪘⫢(⋰*⋻4978⊭↱⋰*⋻1654+⋰*⋻908⨽⋰*⋻3100)=NaN","reverse_text":"NaN=((⨞⊢⋰*⋻1431⩚⊴⇥⋰*⋻4943)+⇶⊼(⋰*⋻2984∸)∑⇟⊟⋰*⋻882↬⋰*⋻4725)∀⇚≩(⋰*⋻1379⩚⊴⇥⋰*⋻1A44⋳⪒⋰*⋻1694⩚⊴⇥⋰*⋻5521)⪘⫢(⋰*⋻4978⊭↱⋰*⋻1654+⋰*⋻908⨽⋰*⋻3100)","cot":[{"info":"⋰*⋻1431⩚⊴⇥⋰*⋻4943=⋰*⋻-6374","layer":3},{"info":"⨞⊢⋰*⋻-6374=⋰*⋻6226","layer":2},{"info":"⋰*⋻2984∸=⋰*⋻151","layer":3},{"info":"⋰*⋻882↬⋰*⋻4725=NaN","layer":3},{"info":"⋰*⋻151∑⇟⊟NaN=NaN","layer":2},{"info":"⋰*⋻6226+⇶⊼NaN=NaN","layer":1},{"info":"⋰*⋻1379⩚⊴⇥⋰*⋻1A44=⋰*⋻-3412","layer":3},{"info":"⋰*⋻1694⩚⊴⇥⋰*⋻5521=⋰*⋻-7205","layer":3},{"info":"⋰*⋻-3412⋳⪒⋰*⋻-7205=⋰*⋻250","layer":2},{"info":"⋰*⋻4978⊭↱⋰*⋻1654=⋰*⋻-6643","layer":3},{"info":"⋰*⋻908⨽⋰*⋻3100=⋰*⋻-2053780","layer":3},{"info":"⋰*⋻-6643+⋰*⋻-2053780=⋰*⋻-205A313","layer":2},{"info":"⋰*⋻250⪘⫢⋰*⋻-205A313=⋰*⋻-1","layer":1},{"info":"NaN∀⇚≩⋰*⋻-1=NaN","layer":0}]}
{"id":261,"expression_no_base_symbol":"⨑⩽⪐($3179$↙$5144$⋷$1908$⩨$1628$)⨰(∥⊫$5845$⋝⋈⪟$1420$)","expression":"⨑⩽⪐(⋰*⋻2430↙⋰*⋻3957⋷⋰*⋻1485⩨⋰*⋻1250)⨰(∥⊫⋰*⋻4434⋝⋈⪟⋰*⋻1081)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":5170,"operation_count":7,"complexity_ratio":738.5714285714286,"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":3179,"base":11},"right_expr":{"type":"numeric_atoms","value":5144,"base":11}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1908,"base":11},"right_expr":{"type":"numeric_atoms","value":1628,"base":11}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":5845,"base":11},"right_expr":{"type":"numeric_atoms","value":1420,"base":11}}}}},"used_operators":["AF7qkfDlqP","eewbuw0ToL","23Mk6UjR3U","yyfyN0ffXY","2DlMacCsIx","P8v4zCKN1o","2DDjHMKMc0"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻-16A47","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3179","layer":4},{"info":"number node, value=5144","layer":4},{"info":"compute binary expreesion, left_input=3179, right_input=5144, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-15432","layer":3},{"info":"number node, value=1908","layer":4},{"info":"number node, value=1628","layer":4},{"info":"compute binary expreesion, left_input=1908, right_input=1628, 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=-15432, right_input=0, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=30864","layer":2},{"info":"number node, value=5845","layer":4},{"info":"number node, value=1420","layer":4},{"info":"compute binary expreesion, left_input=5845, right_input=1420, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5845","layer":3},{"info":"compute unary expreesion, input=5845, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=6713","layer":2},{"info":"compute binary expreesion, left_input=30864, right_input=6713, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=24161","layer":1},{"info":"compute unary expreesion, input=24161, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-23888","layer":0}],"base":11,"result_base":11,"text":"⨑⩽⪐(⋰*⋻2430↙⋰*⋻3957⋷⋰*⋻1485⩨⋰*⋻1250)⨰(∥⊫⋰*⋻4434⋝⋈⪟⋰*⋻1081)=⋰*⋻-16A47","reverse_text":"⋰*⋻-16A47=⨑⩽⪐(⋰*⋻2430↙⋰*⋻3957⋷⋰*⋻1485⩨⋰*⋻1250)⨰(∥⊫⋰*⋻4434⋝⋈⪟⋰*⋻1081)","cot":[{"info":"⋰*⋻2430↙⋰*⋻3957=⋰*⋻-1065A","layer":3},{"info":"⋰*⋻1485⩨⋰*⋻1250=⋰*⋻0","layer":3},{"info":"⋰*⋻-1065A⋷⋰*⋻0=⋰*⋻21209","layer":2},{"info":"⋰*⋻4434⋝⋈⪟⋰*⋻1081=⋰*⋻4434","layer":3},{"info":"∥⊫⋰*⋻4434=⋰*⋻5053","layer":2},{"info":"⋰*⋻21209⨰⋰*⋻5053=⋰*⋻17175","layer":1},{"info":"⨑⩽⪐⋰*⋻17175=⋰*⋻-16A47","layer":0}]}
{"id":262,"expression_no_base_symbol":"(⨞⊢($3872$⩨$2315$)⪘⫢$1132$∼$8276$)⫸⊐(($2201$⨐⩸⫘$2751$)≎⊠⪸$1722$∀⇚≩$1471$)∑⇟⊟($2021$⪮%⊝$3628$⪒$1776$⨽$2709$)","expression":"(⨞⊢(⋰*⋻2A00⩨⋰*⋻1815)⪘⫢⋰*⋻93A∼⋰*⋻6244)⫸⊐((⋰*⋻1721⨐⩸⫘⋰*⋻2081)≎⊠⪸⋰*⋻1326∀⇚≩⋰*⋻1118)∑⇟⊟(⋰*⋻1578⪮%⊝⋰*⋻27A9⪒⋰*⋻1375⨽⋰*⋻2043)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":13907,"operation_count":12,"complexity_ratio":1158.9166666666667,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3872,"base":11},"right_expr":{"type":"numeric_atoms","value":2315,"base":11}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1132,"base":11},"right_expr":{"type":"numeric_atoms","value":8276,"base":11}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2201,"base":11},"right_expr":{"type":"numeric_atoms","value":2751,"base":11}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1722,"base":11},"right_expr":{"type":"numeric_atoms","value":1471,"base":11}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2021,"base":11},"right_expr":{"type":"numeric_atoms","value":3628,"base":11}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1776,"base":11},"right_expr":{"type":"numeric_atoms","value":2709,"base":11}}}}},"used_operators":["mqXw5SEYmG","xUOZtlo3hN","oacrs7FA3X","2DlMacCsIx","DyGG3AbaNP","U7g4x0WXJJ","bJkvcejdHO","fu6greOZ01","LRNGc0VcxI","f6k1SAg4EE","IWmyXbctLI","8HhzD0ZcuI"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","3ViojmjbAp","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3872","layer":4},{"info":"number node, value=2315","layer":4},{"info":"compute binary expreesion, left_input=3872, right_input=2315, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=1132","layer":4},{"info":"number node, value=8276","layer":4},{"info":"compute binary expreesion, left_input=1132, right_input=8276, 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 = 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 = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":1},{"info":"number node, value=2201","layer":4},{"info":"number node, value=2751","layer":4},{"info":"compute binary expreesion, left_input=2201, right_input=2751, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=1722","layer":4},{"info":"number node, value=1471","layer":4},{"info":"compute binary expreesion, left_input=1722, right_input=1471, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":2},{"info":"number node, value=2021","layer":4},{"info":"number node, value=3628","layer":4},{"info":"compute binary expreesion, left_input=2021, right_input=3628, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4358","layer":3},{"info":"number node, value=1776","layer":4},{"info":"number node, value=2709","layer":4},{"info":"compute binary expreesion, left_input=1776, right_input=2709, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-9469341","layer":3},{"info":"compute binary expreesion, left_input=4358, right_input=-9469341, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=9464983","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=9464983, 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 = 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":11,"result_base":11,"text":"(⨞⊢(⋰*⋻2A00⩨⋰*⋻1815)⪘⫢⋰*⋻93A∼⋰*⋻6244)⫸⊐((⋰*⋻1721⨐⩸⫘⋰*⋻2081)≎⊠⪸⋰*⋻1326∀⇚≩⋰*⋻1118)∑⇟⊟(⋰*⋻1578⪮%⊝⋰*⋻27A9⪒⋰*⋻1375⨽⋰*⋻2043)=NaN","reverse_text":"NaN=(⨞⊢(⋰*⋻2A00⩨⋰*⋻1815)⪘⫢⋰*⋻93A∼⋰*⋻6244)⫸⊐((⋰*⋻1721⨐⩸⫘⋰*⋻2081)≎⊠⪸⋰*⋻1326∀⇚≩⋰*⋻1118)∑⇟⊟(⋰*⋻1578⪮%⊝⋰*⋻27A9⪒⋰*⋻1375⨽⋰*⋻2043)","cot":[{"info":"⋰*⋻2A00⩨⋰*⋻1815=⋰*⋻0","layer":3},{"info":"⋰*⋻93A∼⋰*⋻6244=NaN","layer":3},{"info":"⋰*⋻0⪘⫢NaN=NaN","layer":2},{"info":"⨞⊢NaN=NaN","layer":1},{"info":"⋰*⋻1721⨐⩸⫘⋰*⋻2081=NaN","layer":3},{"info":"⋰*⋻1326∀⇚≩⋰*⋻1118=NaN","layer":3},{"info":"NaN≎⊠⪸NaN=⋰*⋻61","layer":2},{"info":"⋰*⋻1578⪮%⊝⋰*⋻27A9=⋰*⋻3302","layer":3},{"info":"⋰*⋻1375⨽⋰*⋻2043=⋰*⋻-5388502","layer":3},{"info":"⋰*⋻3302⪒⋰*⋻-5388502=⋰*⋻5385200","layer":2},{"info":"⋰*⋻61∑⇟⊟⋰*⋻5385200=NaN","layer":1},{"info":"NaN⫸⊐NaN=NaN","layer":0}]}
{"id":263,"expression_no_base_symbol":"(≉($3245$≭$2920$)⨓$1146$⪛$1095$)⪐","expression":"(≉(⋰*⋻2490≭⋰*⋻2215)⨓⋰*⋻952⪛⋰*⋻906)⪐","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":66,"operation_count":5,"complexity_ratio":13.2,"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":3245,"base":11},"right_expr":{"type":"numeric_atoms","value":2920,"base":11}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1146,"base":11},"right_expr":{"type":"numeric_atoms","value":1095,"base":11}}}}},"used_operators":["eH2TOUuTDT","e1ybzncUwg","3ViojmjbAp","rxpJgHHUmx","uFcxV4UQCh"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","AHs5Up7iyr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⋰*⋻798","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=3245","layer":4},{"info":"number node, value=2920","layer":4},{"info":"compute binary expreesion, left_input=3245, right_input=2920, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=1146","layer":4},{"info":"number node, value=1095","layer":4},{"info":"compute binary expreesion, left_input=1146, right_input=1095, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=51","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=51, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-54","layer":2},{"info":"compute unary expreesion, input=-54, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=477","layer":1},{"info":"compute unary expreesion, input=477, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=954","layer":0}],"base":11,"result_base":11,"text":"(≉(⋰*⋻2490≭⋰*⋻2215)⨓⋰*⋻952⪛⋰*⋻906)⪐=⋰*⋻798","reverse_text":"⋰*⋻798=(≉(⋰*⋻2490≭⋰*⋻2215)⨓⋰*⋻952⪛⋰*⋻906)⪐","cot":[{"info":"⋰*⋻2490≭⋰*⋻2215=NaN","layer":3},{"info":"⋰*⋻952⪛⋰*⋻906=⋰*⋻47","layer":3},{"info":"NaN⨓⋰*⋻47=⋰*⋻-4A","layer":2},{"info":"≉⋰*⋻-4A=⋰*⋻3A4","layer":1},{"info":"⋰*⋻3A4⪐=⋰*⋻798","layer":0}]}
{"id":264,"expression_no_base_symbol":"($1063$⪛$1629$⨽$1225$⪘⫢$3755$)≹⇙⪍(⩦⩻⨪(↣≠⋷$1214$))≦≮≮","expression":"(⋰*⋻887⪛⋰*⋻1251⨽⋰*⋻A14⪘⫢⋰*⋻2904)≹⇙⪍(⩦⩻⨪(↣≠⋷⋰*⋻A04))≦≮≮","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1101,"operation_count":7,"complexity_ratio":157.28571428571428,"tree":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1063,"base":11},"right_expr":{"type":"numeric_atoms","value":1629,"base":11}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1225,"base":11},"right_expr":{"type":"numeric_atoms","value":3755,"base":11}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1214,"base":11}}}}},"used_operators":["D4vGDi5EA2","AHs5Up7iyr","8HhzD0ZcuI","uFcxV4UQCh","oacrs7FA3X","2td37pGCOC","Asc51vEJeQ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1063","layer":4},{"info":"number node, value=1629","layer":4},{"info":"compute binary expreesion, left_input=1063, right_input=1629, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1063","layer":3},{"info":"number node, value=1225","layer":4},{"info":"number node, value=3755","layer":4},{"info":"compute binary expreesion, left_input=1225, right_input=3755, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2326","layer":3},{"info":"compute binary expreesion, left_input=1063, right_input=2326, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3395571","layer":2},{"info":"number node, value=1214","layer":4},{"info":"compute unary expreesion, input=1214, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-3395571, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻887⪛⋰*⋻1251⨽⋰*⋻A14⪘⫢⋰*⋻2904)≹⇙⪍(⩦⩻⨪(↣≠⋷⋰*⋻A04))≦≮≮=NaN","reverse_text":"NaN=(⋰*⋻887⪛⋰*⋻1251⨽⋰*⋻A14⪘⫢⋰*⋻2904)≹⇙⪍(⩦⩻⨪(↣≠⋷⋰*⋻A04))≦≮≮","cot":[{"info":"⋰*⋻887⪛⋰*⋻1251=⋰*⋻887","layer":3},{"info":"⋰*⋻A14⪘⫢⋰*⋻2904=⋰*⋻1825","layer":3},{"info":"⋰*⋻887⨽⋰*⋻1825=⋰*⋻-1A0A163","layer":2},{"info":"↣≠⋷⋰*⋻A04=NaN","layer":3},{"info":"⩦⩻⨪NaN=NaN","layer":2},{"info":"⋰*⋻-1A0A163≹⇙⪍NaN=NaN","layer":1},{"info":"NaN≦≮≮=NaN","layer":0}]}
{"id":265,"expression_no_base_symbol":"((($1186$/$2246$)⫸⊐($2790$⇼⇔∾$3140$))⩚⊴⇥($3690$⨟⋌⩍$6089$⨐⩸⫘($1762$⫩⊇)))⋝⋈⪟(⨰⫟⨤(↣≠⋷$4447$)⪮%⊝($1445$≧⫂∧$1340$))","expression":"(((⋰*⋻989/⋰*⋻1762)⫸⊐(⋰*⋻2107⇼⇔∾⋰*⋻23A5))⩚⊴⇥(⋰*⋻2855⨟⋌⩍⋰*⋻4636⨐⩸⫘(⋰*⋻1362⫩⊇)))⋝⋈⪟(⨰⫟⨤(↣≠⋷⋰*⋻3383)⪮%⊝(⋰*⋻10A4≧⫂∧⋰*⋻1009))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":59,"operation_count":12,"complexity_ratio":4.916666666666667,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1186,"base":11},"right_expr":{"type":"numeric_atoms","value":2246,"base":11}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2790,"base":11},"right_expr":{"type":"numeric_atoms","value":3140,"base":11}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3690,"base":11},"right_expr":{"type":"numeric_atoms","value":6089,"base":11}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":1762,"base":11}}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":4447,"base":11}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1445,"base":11},"right_expr":{"type":"numeric_atoms","value":1340,"base":11}}}}},"used_operators":["2DDjHMKMc0","NTOWxs364D","mqXw5SEYmG","XhwjNDsVaA","tifHPKVTfV","fu6greOZ01","rGHVDoGpnC","BjRHVeLaeN","Tw270M8GLb","IWmyXbctLI","Asc51vEJeQ","Ph9nP6C5qx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1186","layer":4},{"info":"number node, value=2246","layer":4},{"info":"compute binary expreesion, left_input=1186, right_input=2246, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=2790","layer":4},{"info":"number node, value=3140","layer":4},{"info":"compute binary expreesion, left_input=2790, right_input=3140, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=350","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=350, 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=3690","layer":4},{"info":"number node, value=6089","layer":4},{"info":"compute binary expreesion, left_input=3690, right_input=6089, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1762","layer":4},{"info":"compute unary expreesion, input=1762, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1720","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1720, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"number node, value=4447","layer":4},{"info":"compute unary expreesion, input=4447, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=1445","layer":4},{"info":"number node, value=1340","layer":4},{"info":"compute binary expreesion, left_input=1445, right_input=1340, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=867","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=867, 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 binary expreesion, left_input=nan, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻989/⋰*⋻1762)⫸⊐(⋰*⋻2107⇼⇔∾⋰*⋻23A5))⩚⊴⇥(⋰*⋻2855⨟⋌⩍⋰*⋻4636⨐⩸⫘(⋰*⋻1362⫩⊇)))⋝⋈⪟(⨰⫟⨤(↣≠⋷⋰*⋻3383)⪮%⊝(⋰*⋻10A4≧⫂∧⋰*⋻1009))=NaN","reverse_text":"NaN=(((⋰*⋻989/⋰*⋻1762)⫸⊐(⋰*⋻2107⇼⇔∾⋰*⋻23A5))⩚⊴⇥(⋰*⋻2855⨟⋌⩍⋰*⋻4636⨐⩸⫘(⋰*⋻1362⫩⊇)))⋝⋈⪟(⨰⫟⨤(↣≠⋷⋰*⋻3383)⪮%⊝(⋰*⋻10A4≧⫂∧⋰*⋻1009))","cot":[{"info":"⋰*⋻989/⋰*⋻1762=⋰*⋻0","layer":3},{"info":"⋰*⋻2107⇼⇔∾⋰*⋻23A5=⋰*⋻299","layer":3},{"info":"⋰*⋻0⫸⊐⋰*⋻299=⋰*⋻0","layer":2},{"info":"⋰*⋻2855⨟⋌⩍⋰*⋻4636=NaN","layer":3},{"info":"⋰*⋻1362⫩⊇=⋰*⋻-1324","layer":3},{"info":"NaN⨐⩸⫘⋰*⋻-1324=NaN","layer":2},{"info":"⋰*⋻0⩚⊴⇥NaN=NaN","layer":1},{"info":"↣≠⋷⋰*⋻3383=NaN","layer":3},{"info":"⋰*⋻10A4≧⫂∧⋰*⋻1009=⋰*⋻719","layer":3},{"info":"NaN⪮%⊝⋰*⋻719=NaN","layer":2},{"info":"⨰⫟⨤NaN=NaN","layer":1},{"info":"NaN⋝⋈⪟NaN=NaN","layer":0}]}
{"id":266,"expression_no_base_symbol":"((⊄⩳↩(⨰⫟⨤$3640$))⨵⪆($4185$⩨$4696$)⪘⫢$2209$⪛$1497$)∑⇟⊟(($6932$+⇶⊼$1327$⋷$3563$⪒$1767$)⊘)","expression":"((⊄⩳↩(⨰⫟⨤⋰*⋻280A))⨵⪆(⋰*⋻3165⩨⋰*⋻358A)⪘⫢⋰*⋻1729⪛⋰*⋻1141)∑⇟⊟((⋰*⋻5232+⇶⊼⋰*⋻AA7⋷⋰*⋻274A⪒⋰*⋻1367)⊘)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":13778,"operation_count":11,"complexity_ratio":1252.5454545454545,"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":3640,"base":11}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4185,"base":11},"right_expr":{"type":"numeric_atoms","value":4696,"base":11}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2209,"base":11},"right_expr":{"type":"numeric_atoms","value":1497,"base":11}}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":6932,"base":11},"right_expr":{"type":"numeric_atoms","value":1327,"base":11}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3563,"base":11},"right_expr":{"type":"numeric_atoms","value":1767,"base":11}}}}},"used_operators":["U7g4x0WXJJ","2DQ55sFlQl","8w2t5hMYqp","Tw270M8GLb","oacrs7FA3X","2DlMacCsIx","uFcxV4UQCh","gu96TGCTMs","23Mk6UjR3U","TpPTUOHfaN","f6k1SAg4EE"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3640","layer":4},{"info":"compute unary expreesion, input=3640, 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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":2},{"info":"number node, value=4185","layer":4},{"info":"number node, value=4696","layer":4},{"info":"compute binary expreesion, left_input=4185, right_input=4696, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=2209","layer":4},{"info":"number node, value=1497","layer":4},{"info":"compute binary expreesion, left_input=2209, right_input=1497, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=712","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=712, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1168","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1168, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=6932","layer":4},{"info":"number node, value=1327","layer":4},{"info":"compute binary expreesion, left_input=6932, right_input=1327, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=3563","layer":4},{"info":"number node, value=1767","layer":4},{"info":"compute binary expreesion, left_input=3563, right_input=1767, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5330","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5330, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⊄⩳↩(⨰⫟⨤⋰*⋻280A))⨵⪆(⋰*⋻3165⩨⋰*⋻358A)⪘⫢⋰*⋻1729⪛⋰*⋻1141)∑⇟⊟((⋰*⋻5232+⇶⊼⋰*⋻AA7⋷⋰*⋻274A⪒⋰*⋻1367)⊘)=NaN","reverse_text":"NaN=((⊄⩳↩(⨰⫟⨤⋰*⋻280A))⨵⪆(⋰*⋻3165⩨⋰*⋻358A)⪘⫢⋰*⋻1729⪛⋰*⋻1141)∑⇟⊟((⋰*⋻5232+⇶⊼⋰*⋻AA7⋷⋰*⋻274A⪒⋰*⋻1367)⊘)","cot":[{"info":"⨰⫟⨤⋰*⋻280A=NaN","layer":3},{"info":"⊄⩳↩NaN=NaN","layer":2},{"info":"⋰*⋻3165⩨⋰*⋻358A=⋰*⋻-3","layer":3},{"info":"⋰*⋻1729⪛⋰*⋻1141=⋰*⋻598","layer":3},{"info":"⋰*⋻-3⪘⫢⋰*⋻598=⋰*⋻-972","layer":2},{"info":"NaN⨵⪆⋰*⋻-972=⋰*⋻136","layer":1},{"info":"⋰*⋻5232+⇶⊼⋰*⋻AA7=NaN","layer":3},{"info":"⋰*⋻274A⪒⋰*⋻1367=⋰*⋻-4006","layer":3},{"info":"NaN⋷⋰*⋻-4006=NaN","layer":2},{"info":"NaN⊘=NaN","layer":1},{"info":"⋰*⋻136∑⇟⊟NaN=NaN","layer":0}]}
{"id":267,"expression_no_base_symbol":"((($2779$⊘)⊪)⪘⫢((↣≠⋷$2673$)*$1867$∀⇚≩$9232$))≹⇙⪍($1787$≎⊠⪸$3188$⨸⪁($2409$⪒$3890$)⊭↱((↯⪼$4856$)-$1586$⪢$3613$))","expression":"(((⋰*⋻20A7⊘)⊪)⪘⫢((↣≠⋷⋰*⋻2010)*⋰*⋻1448∀⇚≩⋰*⋻6A33))≹⇙⪍(⋰*⋻1385≎⊠⪸⋰*⋻2439⨸⪁(⋰*⋻18A0⪒⋰*⋻2A17)⊭↱((↯⪼⋰*⋻3715)-⋰*⋻1212⪢⋰*⋻2795))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":17042,"operation_count":14,"complexity_ratio":1217.2857142857142,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":2779,"base":11}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2673,"base":11}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1867,"base":11},"right_expr":{"type":"numeric_atoms","value":9232,"base":11}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1787,"base":11},"right_expr":{"type":"numeric_atoms","value":3188,"base":11}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2409,"base":11},"right_expr":{"type":"numeric_atoms","value":3890,"base":11}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":4856,"base":11}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1586,"base":11},"right_expr":{"type":"numeric_atoms","value":3613,"base":11}}}}},"used_operators":["AHs5Up7iyr","oacrs7FA3X","zVYPLywUTj","gu96TGCTMs","9HNa5Wba9A","Asc51vEJeQ","LRNGc0VcxI","COABgblf1C","g55IO6H4Gj","bJkvcejdHO","f6k1SAg4EE","rysDP5nf3Z","8jW3W4yZS5","dWAJyo7jo9"],"dependent_operators":["dWAJyo7jo9","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","XhwjNDsVaA","AHs5Up7iyr","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2779","layer":4},{"info":"compute unary expreesion, input=2779, 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 = 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=2673","layer":4},{"info":"compute unary expreesion, input=2673, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=1867","layer":4},{"info":"number node, value=9232","layer":4},{"info":"compute binary expreesion, left_input=1867, right_input=9232, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":1},{"info":"number node, value=1787","layer":4},{"info":"number node, value=3188","layer":4},{"info":"compute binary expreesion, left_input=1787, right_input=3188, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=462360","layer":3},{"info":"number node, value=2409","layer":4},{"info":"number node, value=3890","layer":4},{"info":"compute binary expreesion, left_input=2409, right_input=3890, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6299","layer":3},{"info":"compute binary expreesion, left_input=462360, right_input=-6299, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=912122","layer":2},{"info":"number node, value=4856","layer":4},{"info":"compute unary expreesion, input=4856, 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=1586","layer":4},{"info":"number node, value=3613","layer":4},{"info":"compute binary expreesion, left_input=1586, right_input=3613, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=912122, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻20A7⊘)⊪)⪘⫢((↣≠⋷⋰*⋻2010)*⋰*⋻1448∀⇚≩⋰*⋻6A33))≹⇙⪍(⋰*⋻1385≎⊠⪸⋰*⋻2439⨸⪁(⋰*⋻18A0⪒⋰*⋻2A17)⊭↱((↯⪼⋰*⋻3715)-⋰*⋻1212⪢⋰*⋻2795))=NaN","reverse_text":"NaN=(((⋰*⋻20A7⊘)⊪)⪘⫢((↣≠⋷⋰*⋻2010)*⋰*⋻1448∀⇚≩⋰*⋻6A33))≹⇙⪍(⋰*⋻1385≎⊠⪸⋰*⋻2439⨸⪁(⋰*⋻18A0⪒⋰*⋻2A17)⊭↱((↯⪼⋰*⋻3715)-⋰*⋻1212⪢⋰*⋻2795))","cot":[{"info":"⋰*⋻20A7⊘=⋰*⋻0","layer":3},{"info":"⋰*⋻0⊪=⋰*⋻0","layer":2},{"info":"↣≠⋷⋰*⋻2010=NaN","layer":3},{"info":"⋰*⋻1448∀⇚≩⋰*⋻6A33=NaN","layer":3},{"info":"NaN*NaN=NaN","layer":2},{"info":"⋰*⋻0⪘⫢NaN=NaN","layer":1},{"info":"⋰*⋻1385≎⊠⪸⋰*⋻2439=⋰*⋻296418","layer":3},{"info":"⋰*⋻18A0⪒⋰*⋻2A17=⋰*⋻-4807","layer":3},{"info":"⋰*⋻296418⨸⪁⋰*⋻-4807=⋰*⋻573322","layer":2},{"info":"↯⪼⋰*⋻3715=⋰*⋻-1A","layer":3},{"info":"⋰*⋻1212⪢⋰*⋻2795=NaN","layer":3},{"info":"⋰*⋻-1A-NaN=NaN","layer":2},{"info":"⋰*⋻573322⊭↱NaN=NaN","layer":1},{"info":"NaN≹⇙⪍NaN=NaN","layer":0}]}
{"id":268,"expression_no_base_symbol":"((⨑⩽⪐$3471$⨐⩸⫘$1536$)-($5622$⨵⪆$3583$)⋥≓≎($1642$⊭∹↮))⋳⪒(($6470$⨎$1059$)⊭∹↮)⩚⊴⇥(⊙↵-($1552$⊉≛↸$5739$))","expression":"((⨑⩽⪐⋰*⋻2676⨐⩸⫘⋰*⋻1177)-(⋰*⋻4251⨵⪆⋰*⋻2768)⋥≓≎(⋰*⋻1263⊭∹↮))⋳⪒((⋰*⋻4952⨎⋰*⋻883)⊭∹↮)⩚⊴⇥(⊙↵-(⋰*⋻1191⊉≛↸⋰*⋻4348))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3189,"operation_count":12,"complexity_ratio":265.75,"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":3471,"base":11},"right_expr":{"type":"numeric_atoms","value":1536,"base":11}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":5622,"base":11},"right_expr":{"type":"numeric_atoms","value":3583,"base":11}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1642,"base":11}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":6470,"base":11},"right_expr":{"type":"numeric_atoms","value":1059,"base":11}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1552,"base":11},"right_expr":{"type":"numeric_atoms","value":5739,"base":11}}}}},"used_operators":["12rbrZMWeM","rysDP5nf3Z","AF7qkfDlqP","fu6greOZ01","Qy55tPpLXF","2DQ55sFlQl","xNBdhnnwKq","NTOWxs364D","rJVOvQCfKK","oWn0xqSxBt","DZ8iAZOCBD"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3471","layer":4},{"info":"number node, value=1536","layer":4},{"info":"compute binary expreesion, left_input=3471, right_input=1536, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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 = 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=5622","layer":4},{"info":"number node, value=3583","layer":4},{"info":"compute binary expreesion, left_input=5622, right_input=3583, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1642","layer":4},{"info":"compute unary expreesion, input=1642, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=3284","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=3284, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=6441","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=6441, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=6470","layer":4},{"info":"number node, value=1059","layer":4},{"info":"compute binary expreesion, left_input=6470, right_input=1059, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1059","layer":3},{"info":"compute unary expreesion, input=1059, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2118","layer":2},{"info":"number node, value=1552","layer":4},{"info":"number node, value=5739","layer":4},{"info":"compute binary expreesion, left_input=1552, right_input=5739, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3104","layer":3},{"info":"compute unary expreesion, input=3104, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=2118, right_input=-1, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2238","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2238, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⨑⩽⪐⋰*⋻2676⨐⩸⫘⋰*⋻1177)-(⋰*⋻4251⨵⪆⋰*⋻2768)⋥≓≎(⋰*⋻1263⊭∹↮))⋳⪒((⋰*⋻4952⨎⋰*⋻883)⊭∹↮)⩚⊴⇥(⊙↵-(⋰*⋻1191⊉≛↸⋰*⋻4348))=NaN","reverse_text":"NaN=((⨑⩽⪐⋰*⋻2676⨐⩸⫘⋰*⋻1177)-(⋰*⋻4251⨵⪆⋰*⋻2768)⋥≓≎(⋰*⋻1263⊭∹↮))⋳⪒((⋰*⋻4952⨎⋰*⋻883)⊭∹↮)⩚⊴⇥(⊙↵-(⋰*⋻1191⊉≛↸⋰*⋻4348))","cot":[{"info":"⋰*⋻2676⨐⩸⫘⋰*⋻1177=NaN","layer":3},{"info":"⨑⩽⪐NaN=NaN","layer":2},{"info":"⋰*⋻4251⨵⪆⋰*⋻2768=⋰*⋻136","layer":3},{"info":"⋰*⋻1263⊭∹↮=⋰*⋻2516","layer":3},{"info":"⋰*⋻136⋥≓≎⋰*⋻2516=⋰*⋻4926","layer":2},{"info":"NaN-⋰*⋻4926=NaN","layer":1},{"info":"⋰*⋻4952⨎⋰*⋻883=⋰*⋻883","layer":3},{"info":"⋰*⋻883⊭∹↮=⋰*⋻1656","layer":2},{"info":"⋰*⋻1191⊉≛↸⋰*⋻4348=⋰*⋻2372","layer":3},{"info":"⊙↵-⋰*⋻2372=⋰*⋻-1","layer":2},{"info":"⋰*⋻1656⩚⊴⇥⋰*⋻-1=⋰*⋻-1755","layer":1},{"info":"NaN⋳⪒⋰*⋻-1755=NaN","layer":0}]}
{"id":269,"expression_no_base_symbol":"↩($5368$⩷∴$1650$⩨(⫓⪴$4466$)⊭↱($1343$⨰$2776$)⇷($2359$≋⫹))","expression":"↩(⋰*⋻4040⩷∴⋰*⋻1270⩨(⫓⪴⋰*⋻33A0)⊭↱(⋰*⋻1011⨰⋰*⋻20A4)⇷(⋰*⋻1855≋⫹))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":27132,"operation_count":8,"complexity_ratio":3391.5,"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":5368,"base":11},"right_expr":{"type":"numeric_atoms","value":1650,"base":11}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":4466,"base":11}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1343,"base":11},"right_expr":{"type":"numeric_atoms","value":2776,"base":11}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":2359,"base":11}}}}},"used_operators":["jLgFTUHLKL","COABgblf1C","2DlMacCsIx","9FxExcQeMw","eLxqMNBOBk","mp7IySMOzn","eewbuw0ToL","N41Kp7NANJ"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","9HNa5Wba9A","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5368","layer":4},{"info":"number node, value=1650","layer":4},{"info":"compute binary expreesion, left_input=5368, right_input=1650, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=7404","layer":3},{"info":"number node, value=4466","layer":4},{"info":"compute unary expreesion, input=4466, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=19945156","layer":3},{"info":"compute binary expreesion, left_input=7404, right_input=19945156, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-8079","layer":2},{"info":"number node, value=1343","layer":4},{"info":"number node, value=2776","layer":4},{"info":"compute binary expreesion, left_input=1343, right_input=2776, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1423","layer":3},{"info":"number node, value=2359","layer":4},{"info":"compute unary expreesion, input=2359, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-4718","layer":3},{"info":"compute binary expreesion, left_input=-1423, right_input=-4718, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-8079, 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 = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"↩(⋰*⋻4040⩷∴⋰*⋻1270⩨(⫓⪴⋰*⋻33A0)⊭↱(⋰*⋻1011⨰⋰*⋻20A4)⇷(⋰*⋻1855≋⫹))=NaN","reverse_text":"NaN=↩(⋰*⋻4040⩷∴⋰*⋻1270⩨(⫓⪴⋰*⋻33A0)⊭↱(⋰*⋻1011⨰⋰*⋻20A4)⇷(⋰*⋻1855≋⫹))","cot":[{"info":"⋰*⋻4040⩷∴⋰*⋻1270=⋰*⋻5621","layer":3},{"info":"⫓⪴⋰*⋻33A0=⋰*⋻10293100","layer":3},{"info":"⋰*⋻5621⩨⋰*⋻10293100=⋰*⋻-6085","layer":2},{"info":"⋰*⋻1011⨰⋰*⋻20A4=⋰*⋻-1084","layer":3},{"info":"⋰*⋻1855≋⫹=⋰*⋻-35AA","layer":3},{"info":"⋰*⋻-1084⇷⋰*⋻-35AA=NaN","layer":2},{"info":"⋰*⋻-6085⊭↱NaN=NaN","layer":1},{"info":"↩NaN=NaN","layer":0}]}
{"id":270,"expression_no_base_symbol":"($5113$⨳⩥⨓$1473$⊉≛↸$1586$⪮%⊝$4589$+$2574$≹⇙⪍$1325$⩷∴($4317$⋥≓≎$3117$))↙$7935$⨟⋌⩍$7899$+⇶⊼$1906$⨟⋌⩍$2914$⨐⩸⫘($1365$≭$1509$)≧⫂∧(↥$1939$)","expression":"(⋰*⋻3929⨳⩥⨓⋰*⋻111A⊉≛↸⋰*⋻1212⪮%⊝⋰*⋻34A2+⋰*⋻1A30≹⇙⪍⋰*⋻AA5⩷∴(⋰*⋻3275⋥≓≎⋰*⋻2384))↙⋰*⋻5A64⨟⋌⩍⋰*⋻5A31+⇶⊼⋰*⋻1483⨟⋌⩍⋰*⋻220A⨐⩸⫘(⋰*⋻1031≭⋰*⋻1152)≧⫂∧(↥⋰*⋻1503)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":225688,"operation_count":15,"complexity_ratio":15045.866666666667,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5113,"base":11},"right_expr":{"type":"numeric_atoms","value":1473,"base":11}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1586,"base":11},"right_expr":{"type":"numeric_atoms","value":4589,"base":11}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2574,"base":11},"right_expr":{"type":"numeric_atoms","value":1325,"base":11}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4317,"base":11},"right_expr":{"type":"numeric_atoms","value":3117,"base":11}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":7935,"base":11},"right_expr":{"type":"numeric_atoms","value":7899,"base":11}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1906,"base":11},"right_expr":{"type":"numeric_atoms","value":2914,"base":11}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1365,"base":11},"right_expr":{"type":"numeric_atoms","value":1509,"base":11}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1939,"base":11}}}}},"used_operators":["yyfyN0ffXY","W4YGzv6Whe","DZ8iAZOCBD","nCS4ZIUYfx","IWmyXbctLI","9FxExcQeMw","AHs5Up7iyr","Qy55tPpLXF","fu6greOZ01","TpPTUOHfaN","rGHVDoGpnC","Ph9nP6C5qx","rxpJgHHUmx","A8NUZmVepG"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","AHs5Up7iyr","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5113","layer":4},{"info":"number node, value=1473","layer":4},{"info":"compute binary expreesion, left_input=5113, right_input=1473, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3640","layer":3},{"info":"number node, value=1586","layer":4},{"info":"number node, value=4589","layer":4},{"info":"compute binary expreesion, left_input=1586, right_input=4589, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3488","layer":3},{"info":"compute binary expreesion, left_input=-3640, right_input=3488, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-3488","layer":2},{"info":"number node, value=2574","layer":4},{"info":"number node, value=1325","layer":4},{"info":"compute binary expreesion, left_input=2574, right_input=1325, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=4317","layer":4},{"info":"number node, value=3117","layer":4},{"info":"compute binary expreesion, left_input=4317, right_input=3117, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1950","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1950, 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=-3488, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=7935","layer":4},{"info":"number node, value=7899","layer":4},{"info":"compute binary expreesion, left_input=7935, right_input=7899, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1906","layer":4},{"info":"number node, value=2914","layer":4},{"info":"compute binary expreesion, left_input=1906, right_input=2914, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=1365","layer":4},{"info":"number node, value=1509","layer":4},{"info":"compute binary expreesion, left_input=1365, right_input=1509, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=1939","layer":4},{"info":"compute unary expreesion, input=1939, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=1","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-472","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-472, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-469","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-469, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻3929⨳⩥⨓⋰*⋻111A⊉≛↸⋰*⋻1212⪮%⊝⋰*⋻34A2+⋰*⋻1A30≹⇙⪍⋰*⋻AA5⩷∴(⋰*⋻3275⋥≓≎⋰*⋻2384))↙⋰*⋻5A64⨟⋌⩍⋰*⋻5A31+⇶⊼⋰*⋻1483⨟⋌⩍⋰*⋻220A⨐⩸⫘(⋰*⋻1031≭⋰*⋻1152)≧⫂∧(↥⋰*⋻1503)=NaN","reverse_text":"NaN=(⋰*⋻3929⨳⩥⨓⋰*⋻111A⊉≛↸⋰*⋻1212⪮%⊝⋰*⋻34A2+⋰*⋻1A30≹⇙⪍⋰*⋻AA5⩷∴(⋰*⋻3275⋥≓≎⋰*⋻2384))↙⋰*⋻5A64⨟⋌⩍⋰*⋻5A31+⇶⊼⋰*⋻1483⨟⋌⩍⋰*⋻220A⨐⩸⫘(⋰*⋻1031≭⋰*⋻1152)≧⫂∧(↥⋰*⋻1503)","cot":[{"info":"⋰*⋻3929⨳⩥⨓⋰*⋻111A=⋰*⋻-280A","layer":3},{"info":"⋰*⋻1212⪮%⊝⋰*⋻34A2=⋰*⋻2691","layer":3},{"info":"⋰*⋻-280A⊉≛↸⋰*⋻2691=⋰*⋻-2691","layer":2},{"info":"⋰*⋻1A30≹⇙⪍⋰*⋻AA5=NaN","layer":3},{"info":"⋰*⋻3275⋥≓≎⋰*⋻2384=⋰*⋻1513","layer":3},{"info":"NaN⩷∴⋰*⋻1513=NaN","layer":2},{"info":"⋰*⋻-2691+NaN=NaN","layer":1},{"info":"⋰*⋻5A64⨟⋌⩍⋰*⋻5A31=NaN","layer":3},{"info":"⋰*⋻1483⨟⋌⩍⋰*⋻220A=NaN","layer":3},{"info":"NaN+⇶⊼NaN=NaN","layer":2},{"info":"⋰*⋻1031≭⋰*⋻1152=NaN","layer":3},{"info":"↥⋰*⋻1503=⋰*⋻1","layer":3},{"info":"NaN≧⫂∧⋰*⋻1=⋰*⋻-39A","layer":2},{"info":"NaN⨐⩸⫘⋰*⋻-39A=⋰*⋻-397","layer":1},{"info":"NaN↙⋰*⋻-397=NaN","layer":0}]}
{"id":271,"expression_no_base_symbol":"(∂($4418$/$2570$))⊴($1165$⇷$4760$-$2326$⪛$1216$)⋝⋈⪟($1121$+⇶⊼$3580$)⪢($4747$*$1765$)∑⇟⊟((↥$5044$)⩷∴($4258$%$1087$))","expression":"(∂(⋰*⋻3357/⋰*⋻1A27))⊴(⋰*⋻96A⇷⋰*⋻3638-⋰*⋻1825⪛⋰*⋻A06)⋝⋈⪟(⋰*⋻92A+⇶⊼⋰*⋻2765)⪢(⋰*⋻3626*⋰*⋻1365)∑⇟⊟((↥⋰*⋻3876)⩷∴(⋰*⋻3221%⋰*⋻8A9))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":27115,"operation_count":14,"complexity_ratio":1936.7857142857142,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4418,"base":11},"right_expr":{"type":"numeric_atoms","value":2570,"base":11}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1165,"base":11},"right_expr":{"type":"numeric_atoms","value":4760,"base":11}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2326,"base":11},"right_expr":{"type":"numeric_atoms","value":1216,"base":11}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1121,"base":11},"right_expr":{"type":"numeric_atoms","value":3580,"base":11}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4747,"base":11},"right_expr":{"type":"numeric_atoms","value":1765,"base":11}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":5044,"base":11}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4258,"base":11},"right_expr":{"type":"numeric_atoms","value":1087,"base":11}}}}},"used_operators":["2DDjHMKMc0","Nsiff2A1zJ","Uaa54Peajs","XhwjNDsVaA","rysDP5nf3Z","mp7IySMOzn","uFcxV4UQCh","U7g4x0WXJJ","dWAJyo7jo9","TpPTUOHfaN","9HNa5Wba9A","9FxExcQeMw","A8NUZmVepG","k8jYdgA6NY"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","k8jYdgA6NY","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","k8jYdgA6NY","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4418","layer":4},{"info":"number node, value=2570","layer":4},{"info":"compute binary expreesion, left_input=4418, right_input=2570, 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":"number node, value=1165","layer":4},{"info":"number node, value=4760","layer":4},{"info":"compute binary expreesion, left_input=1165, right_input=4760, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=9520","layer":3},{"info":"number node, value=2326","layer":4},{"info":"number node, value=1216","layer":4},{"info":"compute binary expreesion, left_input=2326, right_input=1216, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1110","layer":3},{"info":"compute binary expreesion, left_input=9520, right_input=1110, op_id = rysDP5nf3Z binary_op_definition= 'None', output=8410","layer":2},{"info":"compute binary expreesion, left_input=-265, right_input=8410, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=1121","layer":4},{"info":"number node, value=3580","layer":4},{"info":"compute binary expreesion, left_input=1121, right_input=3580, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=4747","layer":4},{"info":"number node, value=1765","layer":4},{"info":"compute binary expreesion, left_input=4747, right_input=1765, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=8378455","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8378455, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=5044","layer":4},{"info":"compute unary expreesion, input=5044, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=46","layer":3},{"info":"number node, value=4258","layer":4},{"info":"number node, value=1087","layer":4},{"info":"compute binary expreesion, left_input=4258, right_input=1087, op_id = k8jYdgA6NY binary_op_definition= 'None', output=997","layer":3},{"info":"compute binary expreesion, left_input=46, right_input=997, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-1934","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1934, 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 = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(∂(⋰*⋻3357/⋰*⋻1A27))⊴(⋰*⋻96A⇷⋰*⋻3638-⋰*⋻1825⪛⋰*⋻A06)⋝⋈⪟(⋰*⋻92A+⇶⊼⋰*⋻2765)⪢(⋰*⋻3626*⋰*⋻1365)∑⇟⊟((↥⋰*⋻3876)⩷∴(⋰*⋻3221%⋰*⋻8A9))=NaN","reverse_text":"NaN=(∂(⋰*⋻3357/⋰*⋻1A27))⊴(⋰*⋻96A⇷⋰*⋻3638-⋰*⋻1825⪛⋰*⋻A06)⋝⋈⪟(⋰*⋻92A+⇶⊼⋰*⋻2765)⪢(⋰*⋻3626*⋰*⋻1365)∑⇟⊟((↥⋰*⋻3876)⩷∴(⋰*⋻3221%⋰*⋻8A9))","cot":[{"info":"⋰*⋻3357/⋰*⋻1A27=⋰*⋻1","layer":3},{"info":"∂⋰*⋻1=⋰*⋻-221","layer":2},{"info":"⋰*⋻96A⇷⋰*⋻3638=⋰*⋻7175","layer":3},{"info":"⋰*⋻1825⪛⋰*⋻A06=⋰*⋻91A","layer":3},{"info":"⋰*⋻7175-⋰*⋻91A=⋰*⋻6356","layer":2},{"info":"⋰*⋻-221⊴⋰*⋻6356=NaN","layer":1},{"info":"⋰*⋻92A+⇶⊼⋰*⋻2765=NaN","layer":3},{"info":"⋰*⋻3626*⋰*⋻1365=⋰*⋻4802948","layer":3},{"info":"NaN⪢⋰*⋻4802948=NaN","layer":2},{"info":"↥⋰*⋻3876=⋰*⋻42","layer":3},{"info":"⋰*⋻3221%⋰*⋻8A9=⋰*⋻827","layer":3},{"info":"⋰*⋻42⩷∴⋰*⋻827=⋰*⋻-14A9","layer":2},{"info":"NaN∑⇟⊟⋰*⋻-14A9=NaN","layer":1},{"info":"NaN⋝⋈⪟NaN=NaN","layer":0}]}
{"id":272,"expression_no_base_symbol":"((($1176$⨸⪁$3655$)∸)*($3765$∑⇟⊟$1571$)≹⇙⪍(↩$9676$))∸","expression":"(((⋰*⋻97A⨸⪁⋰*⋻2823)∸)*(⋰*⋻2913∑⇟⊟⋰*⋻11A9)≹⇙⪍(↩⋰*⋻72A7))∸","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":376,"operation_count":7,"complexity_ratio":53.714285714285715,"tree":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1176,"base":11},"right_expr":{"type":"numeric_atoms","value":3655,"base":11}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3765,"base":11},"right_expr":{"type":"numeric_atoms","value":1571,"base":11}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":9676,"base":11}}}}},"used_operators":["o20kRiQErp","9HNa5Wba9A","g55IO6H4Gj","AHs5Up7iyr","U7g4x0WXJJ","jLgFTUHLKL"],"dependent_operators":["tmPS8pqC7x","W4YGzv6Whe","W4YGzv6Whe","dWAJyo7jo9","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"⋰*⋻151","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1176","layer":4},{"info":"number node, value=3655","layer":4},{"info":"compute binary expreesion, left_input=1176, right_input=3655, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9662","layer":3},{"info":"compute unary expreesion, input=9662, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"number node, value=3765","layer":4},{"info":"number node, value=1571","layer":4},{"info":"compute binary expreesion, left_input=3765, right_input=1571, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=9676","layer":4},{"info":"compute unary expreesion, input=9676, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-74628","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-74628, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=177, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻97A⨸⪁⋰*⋻2823)∸)*(⋰*⋻2913∑⇟⊟⋰*⋻11A9)≹⇙⪍(↩⋰*⋻72A7))∸=⋰*⋻151","reverse_text":"⋰*⋻151=(((⋰*⋻97A⨸⪁⋰*⋻2823)∸)*(⋰*⋻2913∑⇟⊟⋰*⋻11A9)≹⇙⪍(↩⋰*⋻72A7))∸","cot":[{"info":"⋰*⋻97A⨸⪁⋰*⋻2823=⋰*⋻7294","layer":3},{"info":"⋰*⋻7294∸=⋰*⋻151","layer":2},{"info":"⋰*⋻2913∑⇟⊟⋰*⋻11A9=NaN","layer":3},{"info":"↩⋰*⋻72A7=⋰*⋻-51084","layer":3},{"info":"NaN≹⇙⪍⋰*⋻-51084=NaN","layer":2},{"info":"⋰*⋻151*NaN=NaN","layer":1},{"info":"NaN∸=⋰*⋻151","layer":0}]}
{"id":273,"expression_no_base_symbol":"⨰⫟⨤(($1021$⨐⩸⫘$2187$∲⫓$2518$⩨$2185$)⨽(⨈⫕($5595$%$5011$)))","expression":"⨰⫟⨤((⋰*⋻849⨐⩸⫘⋰*⋻1709∲⫓⋰*⋻198A⩨⋰*⋻1707)⨽(⨈⫕(⋰*⋻4227%⋰*⋻3846)))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":432,"operation_count":7,"complexity_ratio":61.714285714285715,"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":1021,"base":11},"right_expr":{"type":"numeric_atoms","value":2187,"base":11}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2518,"base":11},"right_expr":{"type":"numeric_atoms","value":2185,"base":11}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":5595,"base":11},"right_expr":{"type":"numeric_atoms","value":5011,"base":11}}}}},"used_operators":["Tw270M8GLb","8HhzD0ZcuI","i8ToyICDmI","fu6greOZ01","2DlMacCsIx","megm06wKyl","k8jYdgA6NY"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=1021","layer":4},{"info":"number node, value=2187","layer":4},{"info":"compute binary expreesion, left_input=1021, right_input=2187, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=2518","layer":4},{"info":"number node, value=2185","layer":4},{"info":"compute binary expreesion, left_input=2518, right_input=2185, 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 = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"number node, value=5595","layer":4},{"info":"number node, value=5011","layer":4},{"info":"compute binary expreesion, left_input=5595, right_input=5011, op_id = k8jYdgA6NY binary_op_definition= 'None', output=584","layer":3},{"info":"compute unary expreesion, input=584, 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 = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⨰⫟⨤((⋰*⋻849⨐⩸⫘⋰*⋻1709∲⫓⋰*⋻198A⩨⋰*⋻1707)⨽(⨈⫕(⋰*⋻4227%⋰*⋻3846)))=NaN","reverse_text":"NaN=⨰⫟⨤((⋰*⋻849⨐⩸⫘⋰*⋻1709∲⫓⋰*⋻198A⩨⋰*⋻1707)⨽(⨈⫕(⋰*⋻4227%⋰*⋻3846)))","cot":[{"info":"⋰*⋻849⨐⩸⫘⋰*⋻1709=NaN","layer":3},{"info":"⋰*⋻198A⩨⋰*⋻1707=⋰*⋻0","layer":3},{"info":"NaN∲⫓⋰*⋻0=NaN","layer":2},{"info":"⋰*⋻4227%⋰*⋻3846=⋰*⋻491","layer":3},{"info":"⨈⫕⋰*⋻491=⋰*⋻-1A","layer":2},{"info":"NaN⨽⋰*⋻-1A=NaN","layer":1},{"info":"⨰⫟⨤NaN=NaN","layer":0}]}
{"id":274,"expression_no_base_symbol":"≉(⩦⩻⨪($1129$⊭↱$3187$))↬$4062$⨟⋌⩍$4716$⪘⫢($1647$⪐)","expression":"≉(⩦⩻⨪(⋰*⋻937⊭↱⋰*⋻2438))↬⋰*⋻3063⨟⋌⩍⋰*⋻35A8⪘⫢(⋰*⋻1268⪐)","highest_n_order":5,"priority_hierarchical_complexity":6,"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":1129,"base":11},"right_expr":{"type":"numeric_atoms","value":3187,"base":11}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4062,"base":11},"right_expr":{"type":"numeric_atoms","value":4716,"base":11}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1647,"base":11}}}}},"used_operators":["e1ybzncUwg","B5M0gjZbta","2td37pGCOC","COABgblf1C","oacrs7FA3X","rGHVDoGpnC","eH2TOUuTDT"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=1129","layer":4},{"info":"number node, value=3187","layer":4},{"info":"compute binary expreesion, left_input=1129, right_input=3187, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=4121","layer":3},{"info":"compute unary expreesion, input=4121, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=4121","layer":2},{"info":"number node, value=4062","layer":4},{"info":"number node, value=4716","layer":4},{"info":"compute binary expreesion, left_input=4062, right_input=4716, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1647","layer":4},{"info":"compute unary expreesion, input=1647, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=3294","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3294, 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=4121, 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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"≉(⩦⩻⨪(⋰*⋻937⊭↱⋰*⋻2438))↬⋰*⋻3063⨟⋌⩍⋰*⋻35A8⪘⫢(⋰*⋻1268⪐)=NaN","reverse_text":"NaN=≉(⩦⩻⨪(⋰*⋻937⊭↱⋰*⋻2438))↬⋰*⋻3063⨟⋌⩍⋰*⋻35A8⪘⫢(⋰*⋻1268⪐)","cot":[{"info":"⋰*⋻937⊭↱⋰*⋻2438=⋰*⋻3107","layer":3},{"info":"⩦⩻⨪⋰*⋻3107=⋰*⋻3107","layer":2},{"info":"⋰*⋻3063⨟⋌⩍⋰*⋻35A8=NaN","layer":3},{"info":"⋰*⋻1268⪐=⋰*⋻2525","layer":3},{"info":"NaN⪘⫢⋰*⋻2525=NaN","layer":2},{"info":"⋰*⋻3107↬NaN=NaN","layer":1},{"info":"≉NaN=NaN","layer":0}]}
{"id":275,"expression_no_base_symbol":"(⇁⨣⪵$3072$)∑⇟⊟($3113$⋳⪒$4047$)∑⇟⊟(($2255$+$2968$)∲⫓$3384$⋳⪒$1020$)%((↔($2694$⪛$5215$))⩠)","expression":"(⇁⨣⪵⋰*⋻2343)∑⇟⊟(⋰*⋻2380⋳⪒⋰*⋻304A)∑⇟⊟((⋰*⋻1770+⋰*⋻2259)∲⫓⋰*⋻25A7⋳⪒⋰*⋻848)%((↔(⋰*⋻202A⪛⋰*⋻3A11))⩠)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":49,"operation_count":11,"complexity_ratio":4.454545454545454,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":3072,"base":11}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3113,"base":11},"right_expr":{"type":"numeric_atoms","value":4047,"base":11}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2255,"base":11},"right_expr":{"type":"numeric_atoms","value":2968,"base":11}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3384,"base":11},"right_expr":{"type":"numeric_atoms","value":1020,"base":11}}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2694,"base":11},"right_expr":{"type":"numeric_atoms","value":5215,"base":11}}}}},"used_operators":["k8jYdgA6NY","U7g4x0WXJJ","inkyxCbjAn","12rbrZMWeM","i8ToyICDmI","W4YGzv6Whe","sJAwomhLZr","ruOEQAzv1W","uFcxV4UQCh"],"dependent_operators":["rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3072","layer":4},{"info":"compute unary expreesion, input=3072, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=3113","layer":4},{"info":"number node, value=4047","layer":4},{"info":"compute binary expreesion, left_input=3113, right_input=4047, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1892","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1892, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=2255","layer":4},{"info":"number node, value=2968","layer":4},{"info":"compute binary expreesion, left_input=2255, right_input=2968, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5223","layer":3},{"info":"number node, value=3384","layer":4},{"info":"number node, value=1020","layer":4},{"info":"compute binary expreesion, left_input=3384, right_input=1020, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=5461","layer":3},{"info":"compute binary expreesion, left_input=5223, right_input=5461, 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 = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=2694","layer":4},{"info":"number node, value=5215","layer":4},{"info":"compute binary expreesion, left_input=2694, right_input=5215, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2694","layer":3},{"info":"compute unary expreesion, input=2694, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2421","layer":2},{"info":"compute unary expreesion, input=-2421, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=9893","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=9893, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⇁⨣⪵⋰*⋻2343)∑⇟⊟(⋰*⋻2380⋳⪒⋰*⋻304A)∑⇟⊟((⋰*⋻1770+⋰*⋻2259)∲⫓⋰*⋻25A7⋳⪒⋰*⋻848)%((↔(⋰*⋻202A⪛⋰*⋻3A11))⩠)=NaN","reverse_text":"NaN=(⇁⨣⪵⋰*⋻2343)∑⇟⊟(⋰*⋻2380⋳⪒⋰*⋻304A)∑⇟⊟((⋰*⋻1770+⋰*⋻2259)∲⫓⋰*⋻25A7⋳⪒⋰*⋻848)%((↔(⋰*⋻202A⪛⋰*⋻3A11))⩠)","cot":[{"info":"⇁⨣⪵⋰*⋻2343=NaN","layer":3},{"info":"⋰*⋻2380⋳⪒⋰*⋻304A=⋰*⋻1470","layer":3},{"info":"NaN∑⇟⊟⋰*⋻1470=NaN","layer":2},{"info":"⋰*⋻1770+⋰*⋻2259=⋰*⋻3A19","layer":3},{"info":"⋰*⋻25A7⋳⪒⋰*⋻848=⋰*⋻4115","layer":3},{"info":"⋰*⋻3A19∲⫓⋰*⋻4115=⋰*⋻0","layer":2},{"info":"NaN∑⇟⊟⋰*⋻0=NaN","layer":1},{"info":"⋰*⋻202A⪛⋰*⋻3A11=⋰*⋻202A","layer":3},{"info":"↔⋰*⋻202A=⋰*⋻-1901","layer":2},{"info":"⋰*⋻-1901⩠=⋰*⋻7484","layer":1},{"info":"NaN%⋰*⋻7484=NaN","layer":0}]}
{"id":276,"expression_no_base_symbol":"((↔$2433$)⩨$1512$≭$2174$)⨓(($6243$⊭↱$1522$)≭($1083$⫡⨏$1860$))⋥≓≎((↽≂($3525$↛⩡⫤))⨳⩥⨓$3002$⇷$2635$⨽$1123$⩚⊴⇥$2737$)","expression":"((↔⋰*⋻1912)⩨⋰*⋻1155≭⋰*⋻16A7)⨓((⋰*⋻4766⊭↱⋰*⋻1164)≭(⋰*⋻8A5⫡⨏⋰*⋻1441))⋥≓≎((↽≂(⋰*⋻2715↛⩡⫤))⨳⩥⨓⋰*⋻228A⇷⋰*⋻1A86⨽⋰*⋻931⩚⊴⇥⋰*⋻2069)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":58066,"operation_count":14,"complexity_ratio":4147.571428571428,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2433,"base":11}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1512,"base":11},"right_expr":{"type":"numeric_atoms","value":2174,"base":11}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":6243,"base":11},"right_expr":{"type":"numeric_atoms","value":1522,"base":11}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1083,"base":11},"right_expr":{"type":"numeric_atoms","value":1860,"base":11}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":3525,"base":11}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3002,"base":11},"right_expr":{"type":"numeric_atoms","value":2635,"base":11}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1123,"base":11},"right_expr":{"type":"numeric_atoms","value":2737,"base":11}}}}},"used_operators":["Qy55tPpLXF","3ViojmjbAp","2DlMacCsIx","ruOEQAzv1W","rxpJgHHUmx","COABgblf1C","QMFrweE19q","nCS4ZIUYfx","u6S6b8DprG","FU0Cs4j7VP","8HhzD0ZcuI","mp7IySMOzn","NTOWxs364D"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⋰*⋻61","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2433","layer":4},{"info":"compute unary expreesion, input=2433, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2160","layer":3},{"info":"number node, value=1512","layer":4},{"info":"number node, value=2174","layer":4},{"info":"compute binary expreesion, left_input=1512, right_input=2174, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=-2160, 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=6243","layer":4},{"info":"number node, value=1522","layer":4},{"info":"compute binary expreesion, left_input=6243, right_input=1522, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-9437","layer":3},{"info":"number node, value=1083","layer":4},{"info":"number node, value=1860","layer":4},{"info":"compute binary expreesion, left_input=1083, right_input=1860, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=9918","layer":3},{"info":"compute binary expreesion, left_input=-9437, right_input=9918, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"number node, value=3525","layer":4},{"info":"compute unary expreesion, input=3525, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-528364","layer":3},{"info":"compute unary expreesion, input=-528364, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=1056728","layer":2},{"info":"number node, value=3002","layer":4},{"info":"number node, value=2635","layer":4},{"info":"compute binary expreesion, left_input=3002, right_input=2635, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5270","layer":3},{"info":"number node, value=1123","layer":4},{"info":"number node, value=2737","layer":4},{"info":"compute binary expreesion, left_input=1123, right_input=2737, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3981","layer":3},{"info":"compute binary expreesion, left_input=5270, right_input=-3981, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-83305443","layer":2},{"info":"compute binary expreesion, left_input=1056728, right_input=-83305443, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-84362171","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-84362171, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":11,"result_base":11,"text":"((↔⋰*⋻1912)⩨⋰*⋻1155≭⋰*⋻16A7)⨓((⋰*⋻4766⊭↱⋰*⋻1164)≭(⋰*⋻8A5⫡⨏⋰*⋻1441))⋥≓≎((↽≂(⋰*⋻2715↛⩡⫤))⨳⩥⨓⋰*⋻228A⇷⋰*⋻1A86⨽⋰*⋻931⩚⊴⇥⋰*⋻2069)=⋰*⋻61","reverse_text":"⋰*⋻61=((↔⋰*⋻1912)⩨⋰*⋻1155≭⋰*⋻16A7)⨓((⋰*⋻4766⊭↱⋰*⋻1164)≭(⋰*⋻8A5⫡⨏⋰*⋻1441))⋥≓≎((↽≂(⋰*⋻2715↛⩡⫤))⨳⩥⨓⋰*⋻228A⇷⋰*⋻1A86⨽⋰*⋻931⩚⊴⇥⋰*⋻2069)","cot":[{"info":"↔⋰*⋻1912=⋰*⋻-1694","layer":3},{"info":"⋰*⋻1155≭⋰*⋻16A7=NaN","layer":3},{"info":"⋰*⋻-1694⩨NaN=NaN","layer":2},{"info":"⋰*⋻4766⊭↱⋰*⋻1164=⋰*⋻-70AA","layer":3},{"info":"⋰*⋻8A5⫡⨏⋰*⋻1441=⋰*⋻74A7","layer":3},{"info":"⋰*⋻-70AA≭⋰*⋻74A7=NaN","layer":2},{"info":"NaN⨓NaN=NaN","layer":1},{"info":"⋰*⋻2715↛⩡⫤=⋰*⋻-330A71","layer":3},{"info":"↽≂⋰*⋻-330A71=⋰*⋻661A32","layer":2},{"info":"⋰*⋻228A⇷⋰*⋻1A86=⋰*⋻3A61","layer":3},{"info":"⋰*⋻931⩚⊴⇥⋰*⋻2069=⋰*⋻-2A9A","layer":3},{"info":"⋰*⋻3A61⨽⋰*⋻-2A9A=⋰*⋻-43029681","layer":2},{"info":"⋰*⋻661A32⨳⩥⨓⋰*⋻-43029681=⋰*⋻-43690603","layer":1},{"info":"NaN⋥≓≎⋰*⋻-43690603=⋰*⋻61","layer":0}]}
{"id":277,"expression_no_base_symbol":"((⪲⇎(-$5832$))⊉≛↸(⫛⫱⨽($1879$⪠⩆⊳)))⨁⊸⫻","expression":"((⪲⇎(-⋰*⋻4422))⊉≛↸(⫛⫱⨽(⋰*⋻1459⪠⩆⊳)))⨁⊸⫻","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":928,"operation_count":6,"complexity_ratio":154.66666666666666,"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":5832,"base":11}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1879,"base":11}}}}},"used_operators":["glklzrTFfD","DZ8iAZOCBD","XPYlsWDdGa","t8gj7n24qd","DlLNRPXxWL","JLbD19bQDL"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5832","layer":4},{"info":"compute unary expreesion, input=5832, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-5832","layer":3},{"info":"compute unary expreesion, input=-5832, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-11664","layer":2},{"info":"number node, value=1879","layer":4},{"info":"compute unary expreesion, input=1879, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-11664, 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 = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=0","layer":0}],"base":11,"result_base":11,"text":"((⪲⇎(-⋰*⋻4422))⊉≛↸(⫛⫱⨽(⋰*⋻1459⪠⩆⊳)))⨁⊸⫻=⋰*⋻0","reverse_text":"⋰*⋻0=((⪲⇎(-⋰*⋻4422))⊉≛↸(⫛⫱⨽(⋰*⋻1459⪠⩆⊳)))⨁⊸⫻","cot":[{"info":"-⋰*⋻4422=⋰*⋻-4422","layer":3},{"info":"⪲⇎⋰*⋻-4422=⋰*⋻-8844","layer":2},{"info":"⋰*⋻1459⪠⩆⊳=⋰*⋻0","layer":3},{"info":"⫛⫱⨽⋰*⋻0=⋰*⋻0","layer":2},{"info":"⋰*⋻-8844⊉≛↸⋰*⋻0=⋰*⋻0","layer":1},{"info":"⋰*⋻0⨁⊸⫻=⋰*⋻0","layer":0}]}
{"id":278,"expression_no_base_symbol":"((↥$2492$⩚⊴⇥$1521$)⫡⨏(⫓⪴$9221$⊴$3931$))⋥≓≎((∂$3583$)⨳⩥⨓$3944$⋝⋈⪟$3288$)≹⇙⪍(($4739$⊭↱$5656$)⊦⊿)","expression":"((↥⋰*⋻1966⩚⊴⇥⋰*⋻1163)⫡⨏(⫓⪴⋰*⋻6A23⊴⋰*⋻2A54))⋥≓≎((∂⋰*⋻2768)⨳⩥⨓⋰*⋻2A66⋝⋈⪟⋰*⋻251A)≹⇙⪍((⋰*⋻3619⊭↱⋰*⋻4282)⊦⊿)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":19106,"operation_count":12,"complexity_ratio":1592.1666666666667,"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":2492,"base":11},"right_expr":{"type":"numeric_atoms","value":1521,"base":11}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":9221,"base":11},"right_expr":{"type":"numeric_atoms","value":3931,"base":11}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":3583,"base":11}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3944,"base":11},"right_expr":{"type":"numeric_atoms","value":3288,"base":11}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4739,"base":11},"right_expr":{"type":"numeric_atoms","value":5656,"base":11}}}}},"used_operators":["Qy55tPpLXF","QMFrweE19q","A8NUZmVepG","NTOWxs364D","eLxqMNBOBk","Nsiff2A1zJ","AHs5Up7iyr","nCS4ZIUYfx","Uaa54Peajs","2DDjHMKMc0","14qkJME0vr","COABgblf1C"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","dWAJyo7jo9","14qkJME0vr","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻61","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2492","layer":4},{"info":"number node, value=1521","layer":4},{"info":"compute binary expreesion, left_input=2492, right_input=1521, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4134","layer":3},{"info":"compute unary expreesion, input=-4134, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=48","layer":2},{"info":"number node, value=9221","layer":4},{"info":"number node, value=3931","layer":4},{"info":"compute binary expreesion, left_input=9221, right_input=3931, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=48, 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=3583","layer":4},{"info":"compute unary expreesion, input=3583, 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=3944","layer":4},{"info":"number node, value=3288","layer":4},{"info":"compute binary expreesion, left_input=3944, right_input=3288, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3944","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3944, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"number node, value=4739","layer":4},{"info":"number node, value=5656","layer":4},{"info":"compute binary expreesion, left_input=4739, right_input=5656, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=1839","layer":3},{"info":"compute unary expreesion, input=1839, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-5596","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-5596, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":11,"result_base":11,"text":"((↥⋰*⋻1966⩚⊴⇥⋰*⋻1163)⫡⨏(⫓⪴⋰*⋻6A23⊴⋰*⋻2A54))⋥≓≎((∂⋰*⋻2768)⨳⩥⨓⋰*⋻2A66⋝⋈⪟⋰*⋻251A)≹⇙⪍((⋰*⋻3619⊭↱⋰*⋻4282)⊦⊿)=⋰*⋻61","reverse_text":"⋰*⋻61=((↥⋰*⋻1966⩚⊴⇥⋰*⋻1163)⫡⨏(⫓⪴⋰*⋻6A23⊴⋰*⋻2A54))⋥≓≎((∂⋰*⋻2768)⨳⩥⨓⋰*⋻2A66⋝⋈⪟⋰*⋻251A)≹⇙⪍((⋰*⋻3619⊭↱⋰*⋻4282)⊦⊿)","cot":[{"info":"⋰*⋻1966⩚⊴⇥⋰*⋻1163=⋰*⋻-3119","layer":3},{"info":"↥⋰*⋻-3119=⋰*⋻44","layer":2},{"info":"⋰*⋻6A23⊴⋰*⋻2A54=NaN","layer":3},{"info":"⫓⪴NaN=NaN","layer":2},{"info":"⋰*⋻44⫡⨏NaN=NaN","layer":1},{"info":"∂⋰*⋻2768=NaN","layer":3},{"info":"⋰*⋻2A66⋝⋈⪟⋰*⋻251A=⋰*⋻2A66","layer":3},{"info":"NaN⨳⩥⨓⋰*⋻2A66=NaN","layer":2},{"info":"⋰*⋻3619⊭↱⋰*⋻4282=⋰*⋻1422","layer":3},{"info":"⋰*⋻1422⊦⊿=⋰*⋻-4228","layer":2},{"info":"NaN≹⇙⪍⋰*⋻-4228=NaN","layer":1},{"info":"NaN⋥≓≎NaN=⋰*⋻61","layer":0}]}
{"id":279,"expression_no_base_symbol":"(($8331$*$1838$)⨐⩸⫘$2780$⩷∴$1532$)⨪↰⇹(⊙↵-(↣≠⋷$1101$))⨸⪁($1042$⋷$2950$)⊴($1290$⨽$2154$)⫥∨⫟(($1423$⇼⇔∾$6968$)⋥≓≎($2869$⪄$2956$))","expression":"((⋰*⋻6294*⋰*⋻1421)⨐⩸⫘⋰*⋻20A8⩷∴⋰*⋻1173)⨪↰⇹(⊙↵-(↣≠⋷⋰*⋻911))⨸⪁(⋰*⋻868⋷⋰*⋻2242)⊴(⋰*⋻A73⨽⋰*⋻1689)⫥∨⫟((⋰*⋻1084⇼⇔∾⋰*⋻5265)⋥≓≎(⋰*⋻2179⪄⋰*⋻2248))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3443,"operation_count":14,"complexity_ratio":245.92857142857142,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":8331,"base":11},"right_expr":{"type":"numeric_atoms","value":1838,"base":11}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2780,"base":11},"right_expr":{"type":"numeric_atoms","value":1532,"base":11}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1101,"base":11}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1042,"base":11},"right_expr":{"type":"numeric_atoms","value":2950,"base":11}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1290,"base":11},"right_expr":{"type":"numeric_atoms","value":2154,"base":11}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1423,"base":11},"right_expr":{"type":"numeric_atoms","value":6968,"base":11}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2869,"base":11},"right_expr":{"type":"numeric_atoms","value":2956,"base":11}}}}},"used_operators":["g55IO6H4Gj","tmPS8pqC7x","fu6greOZ01","9HNa5Wba9A","9FxExcQeMw","oWn0xqSxBt","Asc51vEJeQ","KYD54nUTWz","Nsiff2A1zJ","23Mk6UjR3U","8HhzD0ZcuI","Qy55tPpLXF","tifHPKVTfV","SUmda5xLS4"],"dependent_operators":["W4YGzv6Whe","rJVOvQCfKK","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","XhwjNDsVaA","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=8331","layer":4},{"info":"number node, value=1838","layer":4},{"info":"compute binary expreesion, left_input=8331, right_input=1838, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=15312378","layer":3},{"info":"number node, value=2780","layer":4},{"info":"number node, value=1532","layer":4},{"info":"compute binary expreesion, left_input=2780, right_input=1532, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2464","layer":3},{"info":"compute binary expreesion, left_input=15312378, right_input=2464, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=1101","layer":4},{"info":"compute unary expreesion, input=1101, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":2},{"info":"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=1042","layer":4},{"info":"number node, value=2950","layer":4},{"info":"compute binary expreesion, left_input=1042, right_input=2950, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=4858","layer":3},{"info":"number node, value=1290","layer":4},{"info":"number node, value=2154","layer":4},{"info":"compute binary expreesion, left_input=1290, right_input=2154, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-4997448","layer":3},{"info":"compute binary expreesion, left_input=4858, right_input=-4997448, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=1423","layer":4},{"info":"number node, value=6968","layer":4},{"info":"compute binary expreesion, left_input=1423, right_input=6968, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=5545","layer":3},{"info":"number node, value=2869","layer":4},{"info":"number node, value=2956","layer":4},{"info":"compute binary expreesion, left_input=2869, right_input=2956, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-432525","layer":3},{"info":"compute binary expreesion, left_input=5545, right_input=-432525, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-870562","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-870562, 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 = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻6294*⋰*⋻1421)⨐⩸⫘⋰*⋻20A8⩷∴⋰*⋻1173)⨪↰⇹(⊙↵-(↣≠⋷⋰*⋻911))⨸⪁(⋰*⋻868⋷⋰*⋻2242)⊴(⋰*⋻A73⨽⋰*⋻1689)⫥∨⫟((⋰*⋻1084⇼⇔∾⋰*⋻5265)⋥≓≎(⋰*⋻2179⪄⋰*⋻2248))=NaN","reverse_text":"NaN=((⋰*⋻6294*⋰*⋻1421)⨐⩸⫘⋰*⋻20A8⩷∴⋰*⋻1173)⨪↰⇹(⊙↵-(↣≠⋷⋰*⋻911))⨸⪁(⋰*⋻868⋷⋰*⋻2242)⊴(⋰*⋻A73⨽⋰*⋻1689)⫥∨⫟((⋰*⋻1084⇼⇔∾⋰*⋻5265)⋥≓≎(⋰*⋻2179⪄⋰*⋻2248))","cot":[{"info":"⋰*⋻6294*⋰*⋻1421=⋰*⋻8709464","layer":3},{"info":"⋰*⋻20A8⩷∴⋰*⋻1173=⋰*⋻1940","layer":3},{"info":"⋰*⋻8709464⨐⩸⫘⋰*⋻1940=NaN","layer":2},{"info":"↣≠⋷⋰*⋻911=NaN","layer":3},{"info":"⊙↵-NaN=NaN","layer":2},{"info":"NaN⨪↰⇹NaN=NaN","layer":1},{"info":"⋰*⋻868⋷⋰*⋻2242=⋰*⋻3717","layer":3},{"info":"⋰*⋻A73⨽⋰*⋻1689=⋰*⋻-2903725","layer":3},{"info":"⋰*⋻3717⊴⋰*⋻-2903725=NaN","layer":2},{"info":"⋰*⋻1084⇼⇔∾⋰*⋻5265=⋰*⋻4191","layer":3},{"info":"⋰*⋻2179⪄⋰*⋻2248=⋰*⋻-275A65","layer":3},{"info":"⋰*⋻4191⋥≓≎⋰*⋻-275A65=⋰*⋻-545080","layer":2},{"info":"NaN⫥∨⫟⋰*⋻-545080=NaN","layer":1},{"info":"NaN⨸⪁NaN=NaN","layer":0}]}
{"id":280,"expression_no_base_symbol":"(($4997$⨐⩸⫘$4041$)⨰$2472$∑⇟⊟$4014$)⨪↰⇹(($1508$⇼⇔∾$2186$)⊭∹↮)+($1244$⨳⩥⨓$5827$)⋝⋈⪟$2764$⇷$1123$%(($5377$⊭∹↮)⨵⪆$4045$⫥∨⫟$1680$)","expression":"((⋰*⋻3833⨐⩸⫘⋰*⋻3044)⨰⋰*⋻1948∑⇟⊟⋰*⋻301A)⨪↰⇹((⋰*⋻1151⇼⇔∾⋰*⋻1708)⊭∹↮)+(⋰*⋻A31⨳⩥⨓⋰*⋻4418)⋝⋈⪟⋰*⋻2093⇷⋰*⋻931%((⋰*⋻4049⊭∹↮)⨵⪆⋰*⋻3048⫥∨⫟⋰*⋻1298)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":38915,"operation_count":14,"complexity_ratio":2779.6428571428573,"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":4997,"base":11},"right_expr":{"type":"numeric_atoms","value":4041,"base":11}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2472,"base":11},"right_expr":{"type":"numeric_atoms","value":4014,"base":11}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1508,"base":11},"right_expr":{"type":"numeric_atoms","value":2186,"base":11}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1244,"base":11},"right_expr":{"type":"numeric_atoms","value":5827,"base":11}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2764,"base":11},"right_expr":{"type":"numeric_atoms","value":1123,"base":11}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":5377,"base":11}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":4045,"base":11},"right_expr":{"type":"numeric_atoms","value":1680,"base":11}}}}},"used_operators":["W4YGzv6Whe","tmPS8pqC7x","eewbuw0ToL","fu6greOZ01","U7g4x0WXJJ","xNBdhnnwKq","tifHPKVTfV","k8jYdgA6NY","2DDjHMKMc0","nCS4ZIUYfx","mp7IySMOzn","2DQ55sFlQl","KYD54nUTWz"],"dependent_operators":["rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4997","layer":4},{"info":"number node, value=4041","layer":4},{"info":"compute binary expreesion, left_input=4997, right_input=4041, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=2472","layer":4},{"info":"number node, value=4014","layer":4},{"info":"compute binary expreesion, left_input=2472, right_input=4014, 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 = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"number node, value=1508","layer":4},{"info":"number node, value=2186","layer":4},{"info":"compute binary expreesion, left_input=1508, right_input=2186, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=678","layer":3},{"info":"compute unary expreesion, input=678, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=1356","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1356, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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=1244","layer":4},{"info":"number node, value=5827","layer":4},{"info":"compute binary expreesion, left_input=1244, right_input=5827, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=4583","layer":3},{"info":"number node, value=2764","layer":4},{"info":"number node, value=1123","layer":4},{"info":"compute binary expreesion, left_input=2764, right_input=1123, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2246","layer":3},{"info":"compute binary expreesion, left_input=4583, right_input=2246, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4583","layer":2},{"info":"number node, value=5377","layer":4},{"info":"compute unary expreesion, input=5377, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=10754","layer":3},{"info":"number node, value=4045","layer":4},{"info":"number node, value=1680","layer":4},{"info":"compute binary expreesion, left_input=4045, right_input=1680, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=10754, 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=4583, right_input=160, op_id = k8jYdgA6NY binary_op_definition= 'None', output=103","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=103, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻3833⨐⩸⫘⋰*⋻3044)⨰⋰*⋻1948∑⇟⊟⋰*⋻301A)⨪↰⇹((⋰*⋻1151⇼⇔∾⋰*⋻1708)⊭∹↮)+(⋰*⋻A31⨳⩥⨓⋰*⋻4418)⋝⋈⪟⋰*⋻2093⇷⋰*⋻931%((⋰*⋻4049⊭∹↮)⨵⪆⋰*⋻3048⫥∨⫟⋰*⋻1298)=NaN","reverse_text":"NaN=((⋰*⋻3833⨐⩸⫘⋰*⋻3044)⨰⋰*⋻1948∑⇟⊟⋰*⋻301A)⨪↰⇹((⋰*⋻1151⇼⇔∾⋰*⋻1708)⊭∹↮)+(⋰*⋻A31⨳⩥⨓⋰*⋻4418)⋝⋈⪟⋰*⋻2093⇷⋰*⋻931%((⋰*⋻4049⊭∹↮)⨵⪆⋰*⋻3048⫥∨⫟⋰*⋻1298)","cot":[{"info":"⋰*⋻3833⨐⩸⫘⋰*⋻3044=NaN","layer":3},{"info":"⋰*⋻1948∑⇟⊟⋰*⋻301A=NaN","layer":3},{"info":"NaN⨰NaN=NaN","layer":2},{"info":"⋰*⋻1151⇼⇔∾⋰*⋻1708=⋰*⋻567","layer":3},{"info":"⋰*⋻567⊭∹↮=⋰*⋻1023","layer":2},{"info":"NaN⨪↰⇹⋰*⋻1023=NaN","layer":1},{"info":"⋰*⋻A31⨳⩥⨓⋰*⋻4418=⋰*⋻3497","layer":3},{"info":"⋰*⋻2093⇷⋰*⋻931=⋰*⋻1762","layer":3},{"info":"⋰*⋻3497⋝⋈⪟⋰*⋻1762=⋰*⋻3497","layer":2},{"info":"⋰*⋻4049⊭∹↮=⋰*⋻8097","layer":3},{"info":"⋰*⋻3048⫥∨⫟⋰*⋻1298=NaN","layer":3},{"info":"⋰*⋻8097⨵⪆NaN=⋰*⋻136","layer":2},{"info":"⋰*⋻3497%⋰*⋻136=⋰*⋻94","layer":1},{"info":"NaN+⋰*⋻94=NaN","layer":0}]}
{"id":281,"expression_no_base_symbol":"((↩$1093$)/($3890$⇋≉)+(⫓⪴($2153$∑⇟⊟$1273$)))≫≃","expression":"((↩⋰*⋻904)/(⋰*⋻2A17⇋≉)+(⫓⪴(⋰*⋻1688∑⇟⊟⋰*⋻A58)))≫≃","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":30,"operation_count":7,"complexity_ratio":4.285714285714286,"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":1093,"base":11}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":3890,"base":11}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2153,"base":11},"right_expr":{"type":"numeric_atoms","value":1273,"base":11}}}}},"used_operators":["X99M06cbEe","W4YGzv6Whe","XhwjNDsVaA","jLgFTUHLKL","XIabStNQrY","eLxqMNBOBk","U7g4x0WXJJ"],"dependent_operators":["2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1093","layer":4},{"info":"compute unary expreesion, input=1093, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-5964","layer":3},{"info":"number node, value=3890","layer":4},{"info":"compute unary expreesion, input=3890, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=7682","layer":3},{"info":"compute binary expreesion, left_input=-5964, right_input=7682, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":2},{"info":"number node, value=2153","layer":4},{"info":"number node, value=1273","layer":4},{"info":"compute binary expreesion, left_input=2153, right_input=1273, 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 = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', 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":11,"result_base":11,"text":"((↩⋰*⋻904)/(⋰*⋻2A17⇋≉)+(⫓⪴(⋰*⋻1688∑⇟⊟⋰*⋻A58)))≫≃=NaN","reverse_text":"NaN=((↩⋰*⋻904)/(⋰*⋻2A17⇋≉)+(⫓⪴(⋰*⋻1688∑⇟⊟⋰*⋻A58)))≫≃","cot":[{"info":"↩⋰*⋻904=⋰*⋻-4532","layer":3},{"info":"⋰*⋻2A17⇋≉=⋰*⋻5854","layer":3},{"info":"⋰*⋻-4532/⋰*⋻5854=⋰*⋻-1","layer":2},{"info":"⋰*⋻1688∑⇟⊟⋰*⋻A58=NaN","layer":3},{"info":"⫓⪴NaN=NaN","layer":2},{"info":"⋰*⋻-1+NaN=NaN","layer":1},{"info":"NaN≫≃=NaN","layer":0}]}
{"id":282,"expression_no_base_symbol":"($3934$⪘⫢$1400$⨸⪁$2463$↙$2989$)⪢($4536$*$1406$⩨($5260$⪨≂$2260$))⋓(⩦⩻⨪($8597$⋓$6879$∲⫓$1385$⇼⇔∾$1015$))","expression":"(⋰*⋻2A57⪘⫢⋰*⋻1063⨸⪁⋰*⋻193A↙⋰*⋻2278)⪢(⋰*⋻3454*⋰*⋻1069⩨(⋰*⋻3A52⪨≂⋰*⋻1775))⋓(⩦⩻⨪(⋰*⋻6506⋓⋰*⋻5194∲⫓⋰*⋻104A⇼⇔∾⋰*⋻843))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4458,"operation_count":12,"complexity_ratio":371.5,"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":3934,"base":11},"right_expr":{"type":"numeric_atoms","value":1400,"base":11}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2463,"base":11},"right_expr":{"type":"numeric_atoms","value":2989,"base":11}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4536,"base":11},"right_expr":{"type":"numeric_atoms","value":1406,"base":11}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":5260,"base":11},"right_expr":{"type":"numeric_atoms","value":2260,"base":11}}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":8597,"base":11},"right_expr":{"type":"numeric_atoms","value":6879,"base":11}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1385,"base":11},"right_expr":{"type":"numeric_atoms","value":1015,"base":11}}}}},"used_operators":["T2fj7uvVaJ","dWAJyo7jo9","g55IO6H4Gj","oacrs7FA3X","yyfyN0ffXY","2DlMacCsIx","9HNa5Wba9A","sdazOOVcIp","2td37pGCOC","i8ToyICDmI","tifHPKVTfV"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","k8jYdgA6NY","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","tmPS8pqC7x","DpFCA1CohY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3934","layer":4},{"info":"number node, value=1400","layer":4},{"info":"compute binary expreesion, left_input=3934, right_input=1400, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=7744","layer":3},{"info":"number node, value=2463","layer":4},{"info":"number node, value=2989","layer":4},{"info":"compute binary expreesion, left_input=2463, 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=7744, right_input=-8967, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-2446","layer":2},{"info":"number node, value=4536","layer":4},{"info":"number node, value=1406","layer":4},{"info":"compute binary expreesion, left_input=4536, right_input=1406, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=6377616","layer":3},{"info":"number node, value=5260","layer":4},{"info":"number node, value=2260","layer":4},{"info":"compute binary expreesion, left_input=5260, right_input=2260, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=6102","layer":3},{"info":"compute binary expreesion, left_input=6377616, right_input=6102, 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=-2446, right_input=0, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=0","layer":1},{"info":"number node, value=8597","layer":4},{"info":"number node, value=6879","layer":4},{"info":"compute binary expreesion, left_input=8597, right_input=6879, op_id = T2fj7uvVaJ binary_op_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=1385","layer":4},{"info":"number node, value=1015","layer":4},{"info":"compute binary expreesion, left_input=1385, right_input=1015, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-370","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-370, 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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻2A57⪘⫢⋰*⋻1063⨸⪁⋰*⋻193A↙⋰*⋻2278)⪢(⋰*⋻3454*⋰*⋻1069⩨(⋰*⋻3A52⪨≂⋰*⋻1775))⋓(⩦⩻⨪(⋰*⋻6506⋓⋰*⋻5194∲⫓⋰*⋻104A⇼⇔∾⋰*⋻843))=⋰*⋻0","reverse_text":"⋰*⋻0=(⋰*⋻2A57⪘⫢⋰*⋻1063⨸⪁⋰*⋻193A↙⋰*⋻2278)⪢(⋰*⋻3454*⋰*⋻1069⩨(⋰*⋻3A52⪨≂⋰*⋻1775))⋓(⩦⩻⨪(⋰*⋻6506⋓⋰*⋻5194∲⫓⋰*⋻104A⇼⇔∾⋰*⋻843))","cot":[{"info":"⋰*⋻2A57⪘⫢⋰*⋻1063=⋰*⋻5900","layer":3},{"info":"⋰*⋻193A↙⋰*⋻2278=⋰*⋻-6812","layer":3},{"info":"⋰*⋻5900⨸⪁⋰*⋻-6812=⋰*⋻-1924","layer":2},{"info":"⋰*⋻3454*⋰*⋻1069=⋰*⋻3666663","layer":3},{"info":"⋰*⋻3A52⪨≂⋰*⋻1775=⋰*⋻4648","layer":3},{"info":"⋰*⋻3666663⩨⋰*⋻4648=⋰*⋻0","layer":2},{"info":"⋰*⋻-1924⪢⋰*⋻0=⋰*⋻0","layer":1},{"info":"⋰*⋻6506⋓⋰*⋻5194=⋰*⋻0","layer":3},{"info":"⋰*⋻104A⇼⇔∾⋰*⋻843=⋰*⋻-307","layer":3},{"info":"⋰*⋻0∲⫓⋰*⋻-307=⋰*⋻0","layer":2},{"info":"⩦⩻⨪⋰*⋻0=⋰*⋻0","layer":1},{"info":"⋰*⋻0⋓⋰*⋻0=⋰*⋻0","layer":0}]}
{"id":283,"expression_no_base_symbol":"(($2235$⪨≂$1232$)⪮%⊝($4110$⪛$3814$)⨐⩸⫘(⇁⨣⪵$1219$⨳⩥⨓$2794$))≹⇙⪍((($1485$⪨≂$2587$)⨳⩥⨓(⨰⫟⨤$5593$))⩷∴(⫛⫱⨽(↔$1571$)))","expression":"((⋰*⋻1752⪨≂⋰*⋻A20)⪮%⊝(⋰*⋻30A7⪛⋰*⋻2958)⨐⩸⫘(⇁⨣⪵⋰*⋻A09⨳⩥⨓⋰*⋻2110))≹⇙⪍(((⋰*⋻1130⪨≂⋰*⋻1A42)⨳⩥⨓(⨰⫟⨤⋰*⋻4225))⩷∴(⫛⫱⨽(↔⋰*⋻11A9)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":22999,"operation_count":13,"complexity_ratio":1769.1538461538462,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2235,"base":11},"right_expr":{"type":"numeric_atoms","value":1232,"base":11}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":4110,"base":11},"right_expr":{"type":"numeric_atoms","value":3814,"base":11}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1219,"base":11},"right_expr":{"type":"numeric_atoms","value":2794,"base":11}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1485,"base":11},"right_expr":{"type":"numeric_atoms","value":2587,"base":11}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":5593,"base":11}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1571,"base":11}}}}},"used_operators":["AHs5Up7iyr","fu6greOZ01","IWmyXbctLI","sdazOOVcIp","uFcxV4UQCh","inkyxCbjAn","nCS4ZIUYfx","9FxExcQeMw","Tw270M8GLb","DlLNRPXxWL","ruOEQAzv1W"],"dependent_operators":["dWAJyo7jo9","3ViojmjbAp","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","B5M0gjZbta","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rGHVDoGpnC","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2235","layer":4},{"info":"number node, value=1232","layer":4},{"info":"compute binary expreesion, left_input=2235, right_input=1232, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=2108","layer":3},{"info":"number node, value=4110","layer":4},{"info":"number node, value=3814","layer":4},{"info":"compute binary expreesion, left_input=4110, right_input=3814, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=296","layer":3},{"info":"compute binary expreesion, left_input=2108, right_input=296, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4532","layer":2},{"info":"number node, value=1219","layer":4},{"info":"number node, value=2794","layer":4},{"info":"compute binary expreesion, left_input=1219, right_input=2794, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1575","layer":3},{"info":"compute unary expreesion, input=1575, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4532, 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=1485","layer":4},{"info":"number node, value=2587","layer":4},{"info":"compute binary expreesion, left_input=1485, right_input=2587, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-2102","layer":3},{"info":"number node, value=5593","layer":4},{"info":"compute unary expreesion, input=5593, 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=-2102, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"number node, value=1571","layer":4},{"info":"compute unary expreesion, input=1571, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1298","layer":3},{"info":"compute unary expreesion, input=-1298, 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 = 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 = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1752⪨≂⋰*⋻A20)⪮%⊝(⋰*⋻30A7⪛⋰*⋻2958)⨐⩸⫘(⇁⨣⪵⋰*⋻A09⨳⩥⨓⋰*⋻2110))≹⇙⪍(((⋰*⋻1130⪨≂⋰*⋻1A42)⨳⩥⨓(⨰⫟⨤⋰*⋻4225))⩷∴(⫛⫱⨽(↔⋰*⋻11A9)))=NaN","reverse_text":"NaN=((⋰*⋻1752⪨≂⋰*⋻A20)⪮%⊝(⋰*⋻30A7⪛⋰*⋻2958)⨐⩸⫘(⇁⨣⪵⋰*⋻A09⨳⩥⨓⋰*⋻2110))≹⇙⪍(((⋰*⋻1130⪨≂⋰*⋻1A42)⨳⩥⨓(⨰⫟⨤⋰*⋻4225))⩷∴(⫛⫱⨽(↔⋰*⋻11A9)))","cot":[{"info":"⋰*⋻1752⪨≂⋰*⋻A20=⋰*⋻1647","layer":3},{"info":"⋰*⋻30A7⪛⋰*⋻2958=⋰*⋻24A","layer":3},{"info":"⋰*⋻1647⪮%⊝⋰*⋻24A=⋰*⋻3450","layer":2},{"info":"⋰*⋻A09⨳⩥⨓⋰*⋻2110=⋰*⋻1202","layer":3},{"info":"⇁⨣⪵⋰*⋻1202=NaN","layer":2},{"info":"⋰*⋻3450⨐⩸⫘NaN=NaN","layer":1},{"info":"⋰*⋻1130⪨≂⋰*⋻1A42=⋰*⋻-1641","layer":3},{"info":"⨰⫟⨤⋰*⋻4225=NaN","layer":3},{"info":"⋰*⋻-1641⨳⩥⨓NaN=NaN","layer":2},{"info":"↔⋰*⋻11A9=⋰*⋻-A80","layer":3},{"info":"⫛⫱⨽⋰*⋻-A80=⋰*⋻0","layer":2},{"info":"NaN⩷∴⋰*⋻0=NaN","layer":1},{"info":"NaN≹⇙⪍NaN=NaN","layer":0}]}
{"id":284,"expression_no_base_symbol":"≉(($1973$↛⩡⫤)⩨($1122$⊭∹↮))⨓(($3740$⪒$1469$)⊭∹↮)","expression":"≉((⋰*⋻1534↛⩡⫤)⩨(⋰*⋻930⊭∹↮))⨓((⋰*⋻28A0⪒⋰*⋻1116)⊭∹↮)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":11283,"operation_count":7,"complexity_ratio":1611.857142857143,"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":1973,"base":11}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1122,"base":11}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3740,"base":11},"right_expr":{"type":"numeric_atoms","value":1469,"base":11}}}}},"used_operators":["e1ybzncUwg","3ViojmjbAp","2DlMacCsIx","FU0Cs4j7VP","xNBdhnnwKq","f6k1SAg4EE"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻-3A09","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1973","layer":4},{"info":"compute unary expreesion, input=1973, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-294012","layer":3},{"info":"number node, value=1122","layer":4},{"info":"compute unary expreesion, input=1122, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2244","layer":3},{"info":"compute binary expreesion, left_input=-294012, right_input=2244, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=3","layer":2},{"info":"number node, value=3740","layer":4},{"info":"number node, value=1469","layer":4},{"info":"compute binary expreesion, left_input=3740, right_input=1469, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5209","layer":3},{"info":"compute unary expreesion, input=-5209, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=-5209","layer":2},{"info":"compute binary expreesion, left_input=3, right_input=-5209, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5212","layer":1},{"info":"compute unary expreesion, input=-5212, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-5212","layer":0}],"base":11,"result_base":11,"text":"≉((⋰*⋻1534↛⩡⫤)⩨(⋰*⋻930⊭∹↮))⨓((⋰*⋻28A0⪒⋰*⋻1116)⊭∹↮)=⋰*⋻-3A09","reverse_text":"⋰*⋻-3A09=≉((⋰*⋻1534↛⩡⫤)⩨(⋰*⋻930⊭∹↮))⨓((⋰*⋻28A0⪒⋰*⋻1116)⊭∹↮)","cot":[{"info":"⋰*⋻1534↛⩡⫤=⋰*⋻-190994","layer":3},{"info":"⋰*⋻930⊭∹↮=⋰*⋻1760","layer":3},{"info":"⋰*⋻-190994⩨⋰*⋻1760=⋰*⋻3","layer":2},{"info":"⋰*⋻28A0⪒⋰*⋻1116=⋰*⋻-3A06","layer":3},{"info":"⋰*⋻-3A06⊭∹↮=⋰*⋻-3A06","layer":2},{"info":"⋰*⋻3⨓⋰*⋻-3A06=⋰*⋻-3A09","layer":1},{"info":"≉⋰*⋻-3A09=⋰*⋻-3A09","layer":0}]}
{"id":285,"expression_no_base_symbol":"($1622$⋝⋈⪟$1644$)⇷(⨑⩽⪐$4401$)⊭↱($1065$↙$1751$⊉≛↸($3214$∲⫓$5743$))-((∥⊫$5035$)↙(≉$5626$))⩚⊴⇥(($1195$≫≃)⨳⩥⨓$1037$⇷$2085$)","expression":"(⋰*⋻1245⋝⋈⪟⋰*⋻1265)⇷(⨑⩽⪐⋰*⋻3341)⊭↱(⋰*⋻889↙⋰*⋻1352⊉≛↸(⋰*⋻2462∲⫓⋰*⋻4351))-((∥⊫⋰*⋻3868)↙(≉⋰*⋻4255))⩚⊴⇥((⋰*⋻997≫≃)⨳⩥⨓⋰*⋻863⇷⋰*⋻1626)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":45193,"operation_count":15,"complexity_ratio":3012.866666666667,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1622,"base":11},"right_expr":{"type":"numeric_atoms","value":1644,"base":11}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":4401,"base":11}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1065,"base":11},"right_expr":{"type":"numeric_atoms","value":1751,"base":11}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3214,"base":11},"right_expr":{"type":"numeric_atoms","value":5743,"base":11}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":5035,"base":11}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":5626,"base":11}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1195,"base":11}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1037,"base":11},"right_expr":{"type":"numeric_atoms","value":2085,"base":11}}}}},"used_operators":["rysDP5nf3Z","COABgblf1C","mp7IySMOzn","2DDjHMKMc0","AF7qkfDlqP","DZ8iAZOCBD","yyfyN0ffXY","i8ToyICDmI","NTOWxs364D","P8v4zCKN1o","e1ybzncUwg","nCS4ZIUYfx","X99M06cbEe"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1622","layer":4},{"info":"number node, value=1644","layer":4},{"info":"compute binary expreesion, left_input=1622, right_input=1644, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1622","layer":3},{"info":"number node, value=4401","layer":4},{"info":"compute unary expreesion, input=4401, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-4128","layer":3},{"info":"compute binary expreesion, left_input=1622, right_input=-4128, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"number node, value=1065","layer":4},{"info":"number node, value=1751","layer":4},{"info":"compute binary expreesion, left_input=1065, right_input=1751, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5253","layer":3},{"info":"number node, value=3214","layer":4},{"info":"number node, value=5743","layer":4},{"info":"compute binary expreesion, left_input=3214, right_input=5743, 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=-5253, 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":"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=5035","layer":4},{"info":"compute unary expreesion, input=5035, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=5903","layer":3},{"info":"number node, value=5626","layer":4},{"info":"compute unary expreesion, input=5626, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=6157","layer":3},{"info":"compute binary expreesion, left_input=5903, right_input=6157, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-18471","layer":2},{"info":"number node, value=1195","layer":4},{"info":"compute unary expreesion, input=1195, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=3791","layer":3},{"info":"number node, value=1037","layer":4},{"info":"number node, value=2085","layer":4},{"info":"compute binary expreesion, left_input=1037, right_input=2085, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4170","layer":3},{"info":"compute binary expreesion, left_input=3791, right_input=4170, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=379","layer":2},{"info":"compute binary expreesion, left_input=-18471, right_input=379, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=17971","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=17971, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1245⋝⋈⪟⋰*⋻1265)⇷(⨑⩽⪐⋰*⋻3341)⊭↱(⋰*⋻889↙⋰*⋻1352⊉≛↸(⋰*⋻2462∲⫓⋰*⋻4351))-((∥⊫⋰*⋻3868)↙(≉⋰*⋻4255))⩚⊴⇥((⋰*⋻997≫≃)⨳⩥⨓⋰*⋻863⇷⋰*⋻1626)=NaN","reverse_text":"NaN=(⋰*⋻1245⋝⋈⪟⋰*⋻1265)⇷(⨑⩽⪐⋰*⋻3341)⊭↱(⋰*⋻889↙⋰*⋻1352⊉≛↸(⋰*⋻2462∲⫓⋰*⋻4351))-((∥⊫⋰*⋻3868)↙(≉⋰*⋻4255))⩚⊴⇥((⋰*⋻997≫≃)⨳⩥⨓⋰*⋻863⇷⋰*⋻1626)","cot":[{"info":"⋰*⋻1245⋝⋈⪟⋰*⋻1265=⋰*⋻1245","layer":3},{"info":"⨑⩽⪐⋰*⋻3341=⋰*⋻-3113","layer":3},{"info":"⋰*⋻1245⇷⋰*⋻-3113=NaN","layer":2},{"info":"⋰*⋻889↙⋰*⋻1352=⋰*⋻-3A46","layer":3},{"info":"⋰*⋻2462∲⫓⋰*⋻4351=⋰*⋻0","layer":3},{"info":"⋰*⋻-3A46⊉≛↸⋰*⋻0=⋰*⋻0","layer":2},{"info":"NaN⊭↱⋰*⋻0=NaN","layer":1},{"info":"∥⊫⋰*⋻3868=⋰*⋻4487","layer":3},{"info":"≉⋰*⋻4255=⋰*⋻4698","layer":3},{"info":"⋰*⋻4487↙⋰*⋻4698=⋰*⋻-12972","layer":2},{"info":"⋰*⋻997≫≃=⋰*⋻2937","layer":3},{"info":"⋰*⋻863⇷⋰*⋻1626=⋰*⋻3151","layer":3},{"info":"⋰*⋻2937⨳⩥⨓⋰*⋻3151=⋰*⋻315","layer":2},{"info":"⋰*⋻-12972⩚⊴⇥⋰*⋻315=⋰*⋻12558","layer":1},{"info":"NaN-⋰*⋻12558=NaN","layer":0}]}
{"id":286,"expression_no_base_symbol":"(↣≠⋷(($6718$⪒$8678$)⨰($4473$⨳⩥⨓$1642$)))⊉≛↸($1088$⇷$6995$⋳⪒$2133$⇷$2975$)+⇶⊼($1540$⪢$1516$⪒$1376$⪄$1552$)","expression":"(↣≠⋷((⋰*⋻5058⪒⋰*⋻657A)⨰(⋰*⋻33A7⨳⩥⨓⋰*⋻1263)))⊉≛↸(⋰*⋻8AA⇷⋰*⋻528A⋳⪒⋰*⋻166A⇷⋰*⋻2265)+⇶⊼(⋰*⋻1180⪢⋰*⋻1159⪒⋰*⋻1041⪄⋰*⋻1191)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":47192,"operation_count":12,"complexity_ratio":3932.6666666666665,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":6718,"base":11},"right_expr":{"type":"numeric_atoms","value":8678,"base":11}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4473,"base":11},"right_expr":{"type":"numeric_atoms","value":1642,"base":11}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1088,"base":11},"right_expr":{"type":"numeric_atoms","value":6995,"base":11}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2133,"base":11},"right_expr":{"type":"numeric_atoms","value":2975,"base":11}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1540,"base":11},"right_expr":{"type":"numeric_atoms","value":1516,"base":11}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1376,"base":11},"right_expr":{"type":"numeric_atoms","value":1552,"base":11}}}}},"used_operators":["DZ8iAZOCBD","Asc51vEJeQ","eewbuw0ToL","f6k1SAg4EE","nCS4ZIUYfx","TpPTUOHfaN","12rbrZMWeM","mp7IySMOzn","dWAJyo7jo9","SUmda5xLS4"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","k8jYdgA6NY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6718","layer":4},{"info":"number node, value=8678","layer":4},{"info":"compute binary expreesion, left_input=6718, right_input=8678, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-15396","layer":3},{"info":"number node, value=4473","layer":4},{"info":"number node, value=1642","layer":4},{"info":"compute binary expreesion, left_input=4473, right_input=1642, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2831","layer":3},{"info":"compute binary expreesion, left_input=-15396, right_input=-2831, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-12555","layer":2},{"info":"compute unary expreesion, input=-12555, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"number node, value=1088","layer":4},{"info":"number node, value=6995","layer":4},{"info":"compute binary expreesion, left_input=1088, right_input=6995, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=13990","layer":3},{"info":"number node, value=2133","layer":4},{"info":"number node, value=2975","layer":4},{"info":"compute binary expreesion, left_input=2133, right_input=2975, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5950","layer":3},{"info":"compute binary expreesion, left_input=13990, right_input=5950, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=21743","layer":2},{"info":"number node, value=1540","layer":4},{"info":"number node, value=1516","layer":4},{"info":"compute binary expreesion, left_input=1540, right_input=1516, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1376","layer":4},{"info":"number node, value=1552","layer":4},{"info":"compute binary expreesion, left_input=1376, right_input=1552, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-205945","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-205945, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=21743, 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 = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(↣≠⋷((⋰*⋻5058⪒⋰*⋻657A)⨰(⋰*⋻33A7⨳⩥⨓⋰*⋻1263)))⊉≛↸(⋰*⋻8AA⇷⋰*⋻528A⋳⪒⋰*⋻166A⇷⋰*⋻2265)+⇶⊼(⋰*⋻1180⪢⋰*⋻1159⪒⋰*⋻1041⪄⋰*⋻1191)=NaN","reverse_text":"NaN=(↣≠⋷((⋰*⋻5058⪒⋰*⋻657A)⨰(⋰*⋻33A7⨳⩥⨓⋰*⋻1263)))⊉≛↸(⋰*⋻8AA⇷⋰*⋻528A⋳⪒⋰*⋻166A⇷⋰*⋻2265)+⇶⊼(⋰*⋻1180⪢⋰*⋻1159⪒⋰*⋻1041⪄⋰*⋻1191)","cot":[{"info":"⋰*⋻5058⪒⋰*⋻657A=⋰*⋻-10627","layer":3},{"info":"⋰*⋻33A7⨳⩥⨓⋰*⋻1263=⋰*⋻-2144","layer":3},{"info":"⋰*⋻-10627⨰⋰*⋻-2144=⋰*⋻-9484","layer":2},{"info":"↣≠⋷⋰*⋻-9484=NaN","layer":1},{"info":"⋰*⋻8AA⇷⋰*⋻528A=⋰*⋻A569","layer":3},{"info":"⋰*⋻166A⇷⋰*⋻2265=⋰*⋻451A","layer":3},{"info":"⋰*⋻A569⋳⪒⋰*⋻451A=⋰*⋻15377","layer":2},{"info":"⋰*⋻1180⪢⋰*⋻1159=NaN","layer":3},{"info":"⋰*⋻1041⪄⋰*⋻1191=⋰*⋻-130803","layer":3},{"info":"NaN⪒⋰*⋻-130803=NaN","layer":2},{"info":"⋰*⋻15377+⇶⊼NaN=NaN","layer":1},{"info":"NaN⊉≛↸NaN=NaN","layer":0}]}
{"id":287,"expression_no_base_symbol":"⨈⫕(($2202$⊭∹↮)⋳⪒($4249$⪨≂$5673$)/($7448$⨁⊸⫻)⪢($2313$⩨$1778$))","expression":"⨈⫕((⋰*⋻1722⊭∹↮)⋳⪒(⋰*⋻3213⪨≂⋰*⋻4298)/(⋰*⋻5661⨁⊸⫻)⪢(⋰*⋻1813⩨⋰*⋻1377))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":411,"operation_count":8,"complexity_ratio":51.375,"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":2202,"base":11}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4249,"base":11},"right_expr":{"type":"numeric_atoms","value":5673,"base":11}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":7448,"base":11}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2313,"base":11},"right_expr":{"type":"numeric_atoms","value":1778,"base":11}}}}},"used_operators":["megm06wKyl","XhwjNDsVaA","12rbrZMWeM","xNBdhnnwKq","sdazOOVcIp","dWAJyo7jo9","glklzrTFfD","2DlMacCsIx"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⋰*⋻-1A","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2202","layer":4},{"info":"compute unary expreesion, input=2202, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=4404","layer":3},{"info":"number node, value=4249","layer":4},{"info":"number node, value=5673","layer":4},{"info":"compute binary expreesion, left_input=4249, right_input=5673, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-2746","layer":3},{"info":"compute binary expreesion, left_input=4404, right_input=-2746, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=11267","layer":2},{"info":"number node, value=7448","layer":4},{"info":"compute unary expreesion, input=7448, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=7448","layer":3},{"info":"number node, value=2313","layer":4},{"info":"number node, value=1778","layer":4},{"info":"compute binary expreesion, left_input=2313, right_input=1778, 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=7448, right_input=0, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=0","layer":2},{"info":"compute binary expreesion, left_input=11267, right_input=0, op_id = XhwjNDsVaA binary_op_definition= 'None', 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":11,"result_base":11,"text":"⨈⫕((⋰*⋻1722⊭∹↮)⋳⪒(⋰*⋻3213⪨≂⋰*⋻4298)/(⋰*⋻5661⨁⊸⫻)⪢(⋰*⋻1813⩨⋰*⋻1377))=⋰*⋻-1A","reverse_text":"⋰*⋻-1A=⨈⫕((⋰*⋻1722⊭∹↮)⋳⪒(⋰*⋻3213⪨≂⋰*⋻4298)/(⋰*⋻5661⨁⊸⫻)⪢(⋰*⋻1813⩨⋰*⋻1377))","cot":[{"info":"⋰*⋻1722⊭∹↮=⋰*⋻3344","layer":3},{"info":"⋰*⋻3213⪨≂⋰*⋻4298=⋰*⋻-2077","layer":3},{"info":"⋰*⋻3344⋳⪒⋰*⋻-2077=⋰*⋻8513","layer":2},{"info":"⋰*⋻5661⨁⊸⫻=⋰*⋻5661","layer":3},{"info":"⋰*⋻1813⩨⋰*⋻1377=⋰*⋻0","layer":3},{"info":"⋰*⋻5661⪢⋰*⋻0=⋰*⋻0","layer":2},{"info":"⋰*⋻8513/⋰*⋻0=NaN","layer":1},{"info":"⨈⫕NaN=⋰*⋻-1A","layer":0}]}
{"id":288,"expression_no_base_symbol":"($1724$⨟⋌⩍$3584$%$2668$⊉≛↸$2520$)⪮%⊝(($1986$⨰$1354$)≦≮≮)⨵⪆(↣≠⋷((∥⊫$1235$)⫩⊇))","expression":"(⋰*⋻1328⨟⋌⩍⋰*⋻2769%⋰*⋻2006⊉≛↸⋰*⋻1991)⪮%⊝((⋰*⋻1546⨰⋰*⋻1021)≦≮≮)⨵⪆(↣≠⋷((∥⊫⋰*⋻A23)⫩⊇))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":32,"operation_count":10,"complexity_ratio":3.2,"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":1724,"base":11},"right_expr":{"type":"numeric_atoms","value":3584,"base":11}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2668,"base":11},"right_expr":{"type":"numeric_atoms","value":2520,"base":11}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1986,"base":11},"right_expr":{"type":"numeric_atoms","value":1354,"base":11}}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1235,"base":11}}}}},"used_operators":["2DQ55sFlQl","IWmyXbctLI","k8jYdgA6NY","rGHVDoGpnC","DZ8iAZOCBD","D4vGDi5EA2","eewbuw0ToL","Asc51vEJeQ","BjRHVeLaeN","P8v4zCKN1o"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻136","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1724","layer":4},{"info":"number node, value=3584","layer":4},{"info":"compute binary expreesion, left_input=1724, right_input=3584, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=2668","layer":4},{"info":"number node, value=2520","layer":4},{"info":"compute binary expreesion, left_input=2668, right_input=2520, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5336","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5336, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1986","layer":4},{"info":"number node, value=1354","layer":4},{"info":"compute binary expreesion, left_input=1986, right_input=1354, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=642","layer":3},{"info":"compute unary expreesion, input=642, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-1926","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1926, 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 = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2103","layer":3},{"info":"compute unary expreesion, input=2103, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-2061","layer":2},{"info":"compute unary expreesion, input=-2061, 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 = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1328⨟⋌⩍⋰*⋻2769%⋰*⋻2006⊉≛↸⋰*⋻1991)⪮%⊝((⋰*⋻1546⨰⋰*⋻1021)≦≮≮)⨵⪆(↣≠⋷((∥⊫⋰*⋻A23)⫩⊇))=⋰*⋻136","reverse_text":"⋰*⋻136=(⋰*⋻1328⨟⋌⩍⋰*⋻2769%⋰*⋻2006⊉≛↸⋰*⋻1991)⪮%⊝((⋰*⋻1546⨰⋰*⋻1021)≦≮≮)⨵⪆(↣≠⋷((∥⊫⋰*⋻A23)⫩⊇))","cot":[{"info":"⋰*⋻1328⨟⋌⩍⋰*⋻2769=NaN","layer":3},{"info":"⋰*⋻2006⊉≛↸⋰*⋻1991=⋰*⋻4011","layer":3},{"info":"NaN%⋰*⋻4011=NaN","layer":2},{"info":"⋰*⋻1546⨰⋰*⋻1021=⋰*⋻534","layer":3},{"info":"⋰*⋻534≦≮≮=⋰*⋻-14A1","layer":2},{"info":"NaN⪮%⊝⋰*⋻-14A1=NaN","layer":1},{"info":"∥⊫⋰*⋻A23=⋰*⋻1642","layer":3},{"info":"⋰*⋻1642⫩⊇=⋰*⋻-1604","layer":2},{"info":"↣≠⋷⋰*⋻-1604=NaN","layer":1},{"info":"NaN⨵⪆NaN=⋰*⋻136","layer":0}]}
{"id":289,"expression_no_base_symbol":"($4300$⪢$1339$⨐⩸⫘(⨵≀≌$6091$)⪒($2319$⋳⪒$2053$)⨪↰⇹($1409$⋥≓≎$2496$))⩠","expression":"(⋰*⋻325A⪢⋰*⋻1008⨐⩸⫘(⨵≀≌⋰*⋻4638)⪒(⋰*⋻1819⋳⪒⋰*⋻15A7)⨪↰⇹(⋰*⋻1071⋥≓≎⋰*⋻196A))⩠","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4195,"operation_count":8,"complexity_ratio":524.375,"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":4300,"base":11},"right_expr":{"type":"numeric_atoms","value":1339,"base":11}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":6091,"base":11}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2319,"base":11},"right_expr":{"type":"numeric_atoms","value":2053,"base":11}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1409,"base":11},"right_expr":{"type":"numeric_atoms","value":2496,"base":11}}}}},"used_operators":["sJAwomhLZr","f6k1SAg4EE","fu6greOZ01","dWAJyo7jo9","srAu1WTS94","tmPS8pqC7x","12rbrZMWeM","Qy55tPpLXF"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","k8jYdgA6NY","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4300","layer":4},{"info":"number node, value=1339","layer":4},{"info":"compute binary expreesion, left_input=4300, right_input=1339, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=6091","layer":4},{"info":"compute unary expreesion, input=6091, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-18273","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-18273, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=2319","layer":4},{"info":"number node, value=2053","layer":4},{"info":"compute binary expreesion, left_input=2319, right_input=2053, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2298","layer":3},{"info":"number node, value=1409","layer":4},{"info":"number node, value=2496","layer":4},{"info":"compute binary expreesion, left_input=1409, right_input=2496, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3616","layer":3},{"info":"compute binary expreesion, left_input=2298, right_input=3616, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2298","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2298, 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":11,"result_base":11,"text":"(⋰*⋻325A⪢⋰*⋻1008⨐⩸⫘(⨵≀≌⋰*⋻4638)⪒(⋰*⋻1819⋳⪒⋰*⋻15A7)⨪↰⇹(⋰*⋻1071⋥≓≎⋰*⋻196A))⩠=NaN","reverse_text":"NaN=(⋰*⋻325A⪢⋰*⋻1008⨐⩸⫘(⨵≀≌⋰*⋻4638)⪒(⋰*⋻1819⋳⪒⋰*⋻15A7)⨪↰⇹(⋰*⋻1071⋥≓≎⋰*⋻196A))⩠","cot":[{"info":"⋰*⋻325A⪢⋰*⋻1008=NaN","layer":3},{"info":"⨵≀≌⋰*⋻4638=⋰*⋻-12802","layer":3},{"info":"NaN⨐⩸⫘⋰*⋻-12802=NaN","layer":2},{"info":"⋰*⋻1819⋳⪒⋰*⋻15A7=⋰*⋻17AA","layer":3},{"info":"⋰*⋻1071⋥≓≎⋰*⋻196A=⋰*⋻2798","layer":3},{"info":"⋰*⋻17AA⨪↰⇹⋰*⋻2798=⋰*⋻17AA","layer":2},{"info":"NaN⪒⋰*⋻17AA=NaN","layer":1},{"info":"NaN⩠=NaN","layer":0}]}
{"id":290,"expression_no_base_symbol":"(($1068$↬$1377$)⪮%⊝($5102$≣⋋)⊪)⨸⪁(∥⊫($2805$⨵⪆$2999$))≎⊠⪸(≦∁($5158$+$9214$))","expression":"((⋰*⋻891↬⋰*⋻1042)⪮%⊝(⋰*⋻3919≣⋋)⊪)⨸⪁(∥⊫(⋰*⋻2120⨵⪆⋰*⋻2287))≎⊠⪸(≦∁(⋰*⋻396A+⋰*⋻6A17))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":817,"operation_count":10,"complexity_ratio":81.7,"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":1068,"base":11},"right_expr":{"type":"numeric_atoms","value":1377,"base":11}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":5102,"base":11}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2805,"base":11},"right_expr":{"type":"numeric_atoms","value":2999,"base":11}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":5158,"base":11},"right_expr":{"type":"numeric_atoms","value":9214,"base":11}}}}},"used_operators":["g55IO6H4Gj","zVYPLywUTj","IWmyXbctLI","B5M0gjZbta","Tcnh7f0tEr","bJkvcejdHO","P8v4zCKN1o","2DQ55sFlQl","9ICcGScMcE","W4YGzv6Whe"],"dependent_operators":["W4YGzv6Whe","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rGHVDoGpnC","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1068","layer":4},{"info":"number node, value=1377","layer":4},{"info":"compute binary expreesion, left_input=1068, right_input=1377, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=5102","layer":4},{"info":"compute unary expreesion, input=5102, 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 = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=nan","layer":1},{"info":"number node, value=2805","layer":4},{"info":"number node, value=2999","layer":4},{"info":"compute binary expreesion, left_input=2805, right_input=2999, 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 = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=1028","layer":2},{"info":"number node, value=5158","layer":4},{"info":"number node, value=9214","layer":4},{"info":"compute binary expreesion, left_input=5158, right_input=9214, op_id = W4YGzv6Whe binary_op_definition= 'None', output=14372","layer":3},{"info":"compute unary expreesion, input=14372, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=14372","layer":2},{"info":"compute binary expreesion, left_input=1028, right_input=14372, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=265779","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=265779, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻891↬⋰*⋻1042)⪮%⊝(⋰*⋻3919≣⋋)⊪)⨸⪁(∥⊫(⋰*⋻2120⨵⪆⋰*⋻2287))≎⊠⪸(≦∁(⋰*⋻396A+⋰*⋻6A17))=NaN","reverse_text":"NaN=((⋰*⋻891↬⋰*⋻1042)⪮%⊝(⋰*⋻3919≣⋋)⊪)⨸⪁(∥⊫(⋰*⋻2120⨵⪆⋰*⋻2287))≎⊠⪸(≦∁(⋰*⋻396A+⋰*⋻6A17))","cot":[{"info":"⋰*⋻891↬⋰*⋻1042=NaN","layer":3},{"info":"⋰*⋻3919≣⋋=⋰*⋻0","layer":3},{"info":"NaN⪮%⊝⋰*⋻0=NaN","layer":2},{"info":"NaN⊪=NaN","layer":1},{"info":"⋰*⋻2120⨵⪆⋰*⋻2287=⋰*⋻136","layer":3},{"info":"∥⊫⋰*⋻136=⋰*⋻855","layer":2},{"info":"⋰*⋻396A+⋰*⋻6A17=⋰*⋻A886","layer":3},{"info":"≦∁⋰*⋻A886=⋰*⋻A886","layer":2},{"info":"⋰*⋻855≎⊠⪸⋰*⋻A886=⋰*⋻171758","layer":1},{"info":"NaN⨸⪁⋰*⋻171758=NaN","layer":0}]}
{"id":291,"expression_no_base_symbol":"(⨰⫟⨤($2008$⨟⋌⩍$1118$↺($1137$⪠⩆⊳)))⨓(↽≂(($2867$≦≮≮)⫸⊐($4655$%$1105$)))","expression":"(⨰⫟⨤(⋰*⋻1566⨟⋌⩍⋰*⋻927↺(⋰*⋻944⪠⩆⊳)))⨓(↽≂((⋰*⋻2177≦≮≮)⫸⊐(⋰*⋻3552%⋰*⋻915)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2859,"operation_count":9,"complexity_ratio":317.6666666666667,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2008,"base":11},"right_expr":{"type":"numeric_atoms","value":1118,"base":11}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1137,"base":11}}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":2867,"base":11}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4655,"base":11},"right_expr":{"type":"numeric_atoms","value":1105,"base":11}}}}},"used_operators":["3ViojmjbAp","Tw270M8GLb","7j4O788W3g","rGHVDoGpnC","JLbD19bQDL","u6S6b8DprG","mqXw5SEYmG","D4vGDi5EA2","k8jYdgA6NY"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⋰*⋻14A8","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2008","layer":4},{"info":"number node, value=1118","layer":4},{"info":"compute binary expreesion, left_input=2008, right_input=1118, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1137","layer":4},{"info":"compute unary expreesion, input=1137, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=4492662","layer":1},{"info":"number node, value=2867","layer":4},{"info":"compute unary expreesion, input=2867, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-8601","layer":3},{"info":"number node, value=4655","layer":4},{"info":"number node, value=1105","layer":4},{"info":"compute binary expreesion, left_input=4655, right_input=1105, op_id = k8jYdgA6NY binary_op_definition= 'None', output=235","layer":3},{"info":"compute binary expreesion, left_input=-8601, right_input=235, 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 = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-1936","layer":1},{"info":"compute binary expreesion, left_input=4492662, right_input=-1936, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=1933","layer":0}],"base":11,"result_base":11,"text":"(⨰⫟⨤(⋰*⋻1566⨟⋌⩍⋰*⋻927↺(⋰*⋻944⪠⩆⊳)))⨓(↽≂((⋰*⋻2177≦≮≮)⫸⊐(⋰*⋻3552%⋰*⋻915)))=⋰*⋻14A8","reverse_text":"⋰*⋻14A8=(⨰⫟⨤(⋰*⋻1566⨟⋌⩍⋰*⋻927↺(⋰*⋻944⪠⩆⊳)))⨓(↽≂((⋰*⋻2177≦≮≮)⫸⊐(⋰*⋻3552%⋰*⋻915)))","cot":[{"info":"⋰*⋻1566⨟⋌⩍⋰*⋻927=NaN","layer":3},{"info":"⋰*⋻944⪠⩆⊳=⋰*⋻0","layer":3},{"info":"NaN↺⋰*⋻0=⋰*⋻0","layer":2},{"info":"⨰⫟⨤⋰*⋻0=⋰*⋻2599449","layer":1},{"info":"⋰*⋻2177≦≮≮=⋰*⋻-650A","layer":3},{"info":"⋰*⋻3552%⋰*⋻915=⋰*⋻1A4","layer":3},{"info":"⋰*⋻-650A⫸⊐⋰*⋻1A4=⋰*⋻800","layer":2},{"info":"↽≂⋰*⋻800=⋰*⋻-1500","layer":1},{"info":"⋰*⋻2599449⨓⋰*⋻-1500=⋰*⋻14A8","layer":0}]}
{"id":292,"expression_no_base_symbol":"($5461$≎⊠⪸$1527$↙($7920$⪄$2130$)⊠≄⫣)⨰(($1132$⫩⊇)⊉≛↸($2265$⊦⊿)%(↔$5133$)⪮%⊝(↣≠⋷$3256$))","expression":"(⋰*⋻4115≎⊠⪸⋰*⋻1169↙(⋰*⋻5A50⪄⋰*⋻1667)⊠≄⫣)⨰((⋰*⋻93A⫩⊇)⊉≛↸(⋰*⋻177A⊦⊿)%(↔⋰*⋻3947)⪮%⊝(↣≠⋷⋰*⋻24A0))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":410,"operation_count":12,"complexity_ratio":34.166666666666664,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":5461,"base":11},"right_expr":{"type":"numeric_atoms","value":1527,"base":11}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":7920,"base":11},"right_expr":{"type":"numeric_atoms","value":2130,"base":11}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":1132,"base":11}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":2265,"base":11}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":5133,"base":11}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":3256,"base":11}}}}},"used_operators":["eewbuw0ToL","DIvbN7qnHd","yyfyN0ffXY","bJkvcejdHO","SUmda5xLS4","k8jYdgA6NY","DZ8iAZOCBD","BjRHVeLaeN","14qkJME0vr","IWmyXbctLI","ruOEQAzv1W","Asc51vEJeQ"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5461","layer":4},{"info":"number node, value=1527","layer":4},{"info":"compute binary expreesion, left_input=5461, right_input=1527, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1413926","layer":3},{"info":"number node, value=7920","layer":4},{"info":"number node, value=2130","layer":4},{"info":"compute binary expreesion, left_input=7920, right_input=2130, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1176769","layer":3},{"info":"compute binary expreesion, left_input=1413926, right_input=-1176769, 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 = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=nan","layer":1},{"info":"number node, value=1132","layer":4},{"info":"compute unary expreesion, input=1132, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1090","layer":3},{"info":"number node, value=2265","layer":4},{"info":"compute unary expreesion, input=2265, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-6874","layer":3},{"info":"compute binary expreesion, left_input=-1090, right_input=-6874, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6874","layer":2},{"info":"number node, value=5133","layer":4},{"info":"compute unary expreesion, input=5133, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-4860","layer":3},{"info":"number node, value=3256","layer":4},{"info":"compute unary expreesion, input=3256, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4860, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=6874, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻4115≎⊠⪸⋰*⋻1169↙(⋰*⋻5A50⪄⋰*⋻1667)⊠≄⫣)⨰((⋰*⋻93A⫩⊇)⊉≛↸(⋰*⋻177A⊦⊿)%(↔⋰*⋻3947)⪮%⊝(↣≠⋷⋰*⋻24A0))=NaN","reverse_text":"NaN=(⋰*⋻4115≎⊠⪸⋰*⋻1169↙(⋰*⋻5A50⪄⋰*⋻1667)⊠≄⫣)⨰((⋰*⋻93A⫩⊇)⊉≛↸(⋰*⋻177A⊦⊿)%(↔⋰*⋻3947)⪮%⊝(↣≠⋷⋰*⋻24A0))","cot":[{"info":"⋰*⋻4115≎⊠⪸⋰*⋻1169=⋰*⋻886338","layer":3},{"info":"⋰*⋻5A50⪄⋰*⋻1667=⋰*⋻-734140","layer":3},{"info":"⋰*⋻886338↙⋰*⋻-734140=NaN","layer":2},{"info":"NaN⊠≄⫣=NaN","layer":1},{"info":"⋰*⋻93A⫩⊇=⋰*⋻-901","layer":3},{"info":"⋰*⋻177A⊦⊿=⋰*⋻-518A","layer":3},{"info":"⋰*⋻-901⊉≛↸⋰*⋻-518A=⋰*⋻518A","layer":2},{"info":"↔⋰*⋻3947=⋰*⋻-3719","layer":3},{"info":"↣≠⋷⋰*⋻24A0=NaN","layer":3},{"info":"⋰*⋻-3719⪮%⊝NaN=NaN","layer":2},{"info":"⋰*⋻518A%NaN=NaN","layer":1},{"info":"NaN⨰NaN=NaN","layer":0}]}
{"id":293,"expression_no_base_symbol":"($2642$∼$3451$↺(↔$5094$)⪐)*($2958$⊴$1263$⊪)⨪↰⇹($5535$⋓$4682$⋷(⇁⨣⪵$1644$))","expression":"(⋰*⋻1A92∼⋰*⋻2658↺(↔⋰*⋻3911)⪐)*(⋰*⋻224A⊴⋰*⋻A49⊪)⨪↰⇹(⋰*⋻4182⋓⋰*⋻3577⋷(⇁⨣⪵⋰*⋻1265))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2129,"operation_count":11,"complexity_ratio":193.54545454545453,"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":2642,"base":11},"right_expr":{"type":"numeric_atoms","value":3451,"base":11}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":5094,"base":11}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2958,"base":11},"right_expr":{"type":"numeric_atoms","value":1263,"base":11}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":5535,"base":11},"right_expr":{"type":"numeric_atoms","value":4682,"base":11}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1644,"base":11}}}}},"used_operators":["9HNa5Wba9A","eH2TOUuTDT","7j4O788W3g","DyGG3AbaNP","ruOEQAzv1W","tmPS8pqC7x","zVYPLywUTj","Nsiff2A1zJ","23Mk6UjR3U","T2fj7uvVaJ","inkyxCbjAn"],"dependent_operators":["W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rJVOvQCfKK","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2642","layer":4},{"info":"number node, value=3451","layer":4},{"info":"compute binary expreesion, left_input=2642, right_input=3451, 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=5094","layer":4},{"info":"compute unary expreesion, input=5094, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-4821","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4821, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-4821","layer":2},{"info":"compute unary expreesion, input=-4821, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=-9642","layer":1},{"info":"number node, value=2958","layer":4},{"info":"number node, value=1263","layer":4},{"info":"compute binary expreesion, left_input=2958, right_input=1263, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', 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":"number node, value=5535","layer":4},{"info":"number node, value=4682","layer":4},{"info":"compute binary expreesion, left_input=5535, right_input=4682, op_id = T2fj7uvVaJ binary_op_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=1644","layer":4},{"info":"compute unary expreesion, input=1644, 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 = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=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=-9642, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1A92∼⋰*⋻2658↺(↔⋰*⋻3911)⪐)*(⋰*⋻224A⊴⋰*⋻A49⊪)⨪↰⇹(⋰*⋻4182⋓⋰*⋻3577⋷(⇁⨣⪵⋰*⋻1265))=NaN","reverse_text":"NaN=(⋰*⋻1A92∼⋰*⋻2658↺(↔⋰*⋻3911)⪐)*(⋰*⋻224A⊴⋰*⋻A49⊪)⨪↰⇹(⋰*⋻4182⋓⋰*⋻3577⋷(⇁⨣⪵⋰*⋻1265))","cot":[{"info":"⋰*⋻1A92∼⋰*⋻2658=NaN","layer":3},{"info":"↔⋰*⋻3911=⋰*⋻-3693","layer":3},{"info":"NaN↺⋰*⋻-3693=⋰*⋻-3693","layer":2},{"info":"⋰*⋻-3693⪐=⋰*⋻-7276","layer":1},{"info":"⋰*⋻224A⊴⋰*⋻A49=NaN","layer":3},{"info":"NaN⊪=NaN","layer":2},{"info":"⋰*⋻4182⋓⋰*⋻3577=⋰*⋻0","layer":3},{"info":"⇁⨣⪵⋰*⋻1265=NaN","layer":3},{"info":"⋰*⋻0⋷NaN=⋰*⋻0","layer":2},{"info":"NaN⨪↰⇹⋰*⋻0=NaN","layer":1},{"info":"⋰*⋻-7276*NaN=NaN","layer":0}]}
{"id":294,"expression_no_base_symbol":"($1005$⪨≂$2521$)⨰($1356$⫩⊇)-$8074$∼$1187$⨸⪁($1480$⊭↱$1201$)⪨≂(⫓⪴$3192$⊴$6835$↬($3400$∸))","expression":"(⋰*⋻834⪨≂⋰*⋻1992)⨰(⋰*⋻1023⫩⊇)-⋰*⋻6080∼⋰*⋻98A⨸⪁(⋰*⋻1126⊭↱⋰*⋻9A2)⪨≂(⫓⪴⋰*⋻2442⊴⋰*⋻5154↬(⋰*⋻2611∸))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7208,"operation_count":12,"complexity_ratio":600.6666666666666,"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":1005,"base":11},"right_expr":{"type":"numeric_atoms","value":2521,"base":11}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":1356,"base":11}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":8074,"base":11},"right_expr":{"type":"numeric_atoms","value":1187,"base":11}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1480,"base":11},"right_expr":{"type":"numeric_atoms","value":1201,"base":11}}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3192,"base":11},"right_expr":{"type":"numeric_atoms","value":6835,"base":11}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":3400,"base":11}}}}},"used_operators":["sdazOOVcIp","rysDP5nf3Z","eewbuw0ToL","BjRHVeLaeN","g55IO6H4Gj","DyGG3AbaNP","COABgblf1C","eLxqMNBOBk","B5M0gjZbta","Nsiff2A1zJ","o20kRiQErp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","rGHVDoGpnC","dWAJyo7jo9","14qkJME0vr","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1005","layer":4},{"info":"number node, value=2521","layer":4},{"info":"compute binary expreesion, left_input=1005, right_input=2521, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-2930","layer":3},{"info":"number node, value=1356","layer":4},{"info":"compute unary expreesion, input=1356, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1314","layer":3},{"info":"compute binary expreesion, left_input=-2930, right_input=-1314, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1606","layer":2},{"info":"number node, value=8074","layer":4},{"info":"number node, value=1187","layer":4},{"info":"compute binary expreesion, left_input=8074, right_input=1187, 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=1480","layer":4},{"info":"number node, value=1201","layer":4},{"info":"compute binary expreesion, left_input=1480, right_input=1201, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-553","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-553, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1606, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=3192","layer":4},{"info":"number node, value=6835","layer":4},{"info":"compute binary expreesion, left_input=3192, right_input=6835, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=3400","layer":4},{"info":"compute unary expreesion, input=3400, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=177, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻834⪨≂⋰*⋻1992)⨰(⋰*⋻1023⫩⊇)-⋰*⋻6080∼⋰*⋻98A⨸⪁(⋰*⋻1126⊭↱⋰*⋻9A2)⪨≂(⫓⪴⋰*⋻2442⊴⋰*⋻5154↬(⋰*⋻2611∸))=NaN","reverse_text":"NaN=(⋰*⋻834⪨≂⋰*⋻1992)⨰(⋰*⋻1023⫩⊇)-⋰*⋻6080∼⋰*⋻98A⨸⪁(⋰*⋻1126⊭↱⋰*⋻9A2)⪨≂(⫓⪴⋰*⋻2442⊴⋰*⋻5154↬(⋰*⋻2611∸))","cot":[{"info":"⋰*⋻834⪨≂⋰*⋻1992=⋰*⋻-2224","layer":3},{"info":"⋰*⋻1023⫩⊇=⋰*⋻-A95","layer":3},{"info":"⋰*⋻-2224⨰⋰*⋻-A95=⋰*⋻-1230","layer":2},{"info":"⋰*⋻6080∼⋰*⋻98A=NaN","layer":3},{"info":"⋰*⋻1126⊭↱⋰*⋻9A2=⋰*⋻-463","layer":3},{"info":"NaN⨸⪁⋰*⋻-463=NaN","layer":2},{"info":"⋰*⋻-1230-NaN=NaN","layer":1},{"info":"⋰*⋻2442⊴⋰*⋻5154=NaN","layer":3},{"info":"⋰*⋻2611∸=⋰*⋻151","layer":3},{"info":"NaN↬⋰*⋻151=NaN","layer":2},{"info":"⫓⪴NaN=NaN","layer":1},{"info":"NaN⪨≂NaN=NaN","layer":0}]}
{"id":295,"expression_no_base_symbol":"($1193$*$3527$⨸⪁($5603$⋷$5656$)⫡⨏$1562$⪢$2930$≧⫂∧$5597$≹⇙⪍$8292$)⨓(≤/(⫓⪴(⨈⫕$6188$)))","expression":"(⋰*⋻995*⋰*⋻2717⨸⪁(⋰*⋻4234⋷⋰*⋻4282)⫡⨏⋰*⋻11A0⪢⋰*⋻2224≧⫂∧⋰*⋻4229≹⇙⪍⋰*⋻6259)⨓(≤/(⫓⪴(⨈⫕⋰*⋻4716)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4595,"operation_count":11,"complexity_ratio":417.72727272727275,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1193,"base":11},"right_expr":{"type":"numeric_atoms","value":3527,"base":11}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":5603,"base":11},"right_expr":{"type":"numeric_atoms","value":5656,"base":11}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1562,"base":11},"right_expr":{"type":"numeric_atoms","value":2930,"base":11}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5597,"base":11},"right_expr":{"type":"numeric_atoms","value":8292,"base":11}}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":6188,"base":11}}}}},"used_operators":["3ViojmjbAp","QMFrweE19q","g55IO6H4Gj","9HNa5Wba9A","23Mk6UjR3U","Ph9nP6C5qx","dWAJyo7jo9","AHs5Up7iyr","eLAdDNolq6","eLxqMNBOBk","megm06wKyl"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","dWAJyo7jo9","rysDP5nf3Z","9HNa5Wba9A","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"⋰*⋻-42","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1193","layer":4},{"info":"number node, value=3527","layer":4},{"info":"compute binary expreesion, left_input=1193, right_input=3527, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4207711","layer":3},{"info":"number node, value=5603","layer":4},{"info":"number node, value=5656","layer":4},{"info":"compute binary expreesion, left_input=5603, right_input=5656, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=5709","layer":3},{"info":"compute binary expreesion, left_input=4207711, right_input=5709, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=8426840","layer":2},{"info":"number node, value=1562","layer":4},{"info":"number node, value=2930","layer":4},{"info":"compute binary expreesion, left_input=1562, right_input=2930, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=5597","layer":4},{"info":"number node, value=8292","layer":4},{"info":"compute binary expreesion, left_input=5597, right_input=8292, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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 = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=8426840, 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=6188","layer":4},{"info":"compute unary expreesion, input=6188, 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 = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=441","layer":2},{"info":"compute unary expreesion, input=441, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=43","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=43, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-46","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻995*⋰*⋻2717⨸⪁(⋰*⋻4234⋷⋰*⋻4282)⫡⨏⋰*⋻11A0⪢⋰*⋻2224≧⫂∧⋰*⋻4229≹⇙⪍⋰*⋻6259)⨓(≤/(⫓⪴(⨈⫕⋰*⋻4716)))=⋰*⋻-42","reverse_text":"⋰*⋻-42=(⋰*⋻995*⋰*⋻2717⨸⪁(⋰*⋻4234⋷⋰*⋻4282)⫡⨏⋰*⋻11A0⪢⋰*⋻2224≧⫂∧⋰*⋻4229≹⇙⪍⋰*⋻6259)⨓(≤/(⫓⪴(⨈⫕⋰*⋻4716)))","cot":[{"info":"⋰*⋻995*⋰*⋻2717=⋰*⋻2414352","layer":3},{"info":"⋰*⋻4234⋷⋰*⋻4282=⋰*⋻4320","layer":3},{"info":"⋰*⋻2414352⨸⪁⋰*⋻4320=⋰*⋻4836234","layer":2},{"info":"⋰*⋻11A0⪢⋰*⋻2224=NaN","layer":3},{"info":"⋰*⋻4229≹⇙⪍⋰*⋻6259=NaN","layer":3},{"info":"NaN≧⫂∧NaN=NaN","layer":2},{"info":"⋰*⋻4836234⫡⨏NaN=NaN","layer":1},{"info":"⨈⫕⋰*⋻4716=⋰*⋻-1A","layer":3},{"info":"⫓⪴⋰*⋻-1A=⋰*⋻371","layer":2},{"info":"≤/⋰*⋻371=⋰*⋻3A","layer":1},{"info":"NaN⨓⋰*⋻3A=⋰*⋻-42","layer":0}]}
{"id":296,"expression_no_base_symbol":"(↥(↣≠⋷($2203$⪮%⊝$1018$)))⫌⩹⨱","expression":"(↥(↣≠⋷(⋰*⋻1723⪮%⊝⋰*⋻846)))⫌⩹⨱","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":20,"operation_count":4,"complexity_ratio":5.0,"tree":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2203,"base":11},"right_expr":{"type":"numeric_atoms","value":1018,"base":11}}}}},"used_operators":["EBcxylXtPf","A8NUZmVepG","Asc51vEJeQ","IWmyXbctLI"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","k8jYdgA6NY","XhwjNDsVaA","AHs5Up7iyr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=2203","layer":4},{"info":"number node, value=1018","layer":4},{"info":"compute binary expreesion, left_input=2203, right_input=1018, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4722","layer":3},{"info":"compute unary expreesion, input=4722, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/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":"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":11,"result_base":11,"text":"(↥(↣≠⋷(⋰*⋻1723⪮%⊝⋰*⋻846)))⫌⩹⨱=NaN","reverse_text":"NaN=(↥(↣≠⋷(⋰*⋻1723⪮%⊝⋰*⋻846)))⫌⩹⨱","cot":[{"info":"⋰*⋻1723⪮%⊝⋰*⋻846=⋰*⋻3603","layer":3},{"info":"↣≠⋷⋰*⋻3603=NaN","layer":2},{"info":"↥NaN=NaN","layer":1},{"info":"NaN⫌⩹⨱=NaN","layer":0}]}
{"id":297,"expression_no_base_symbol":"$4267$≧⫂∧$3491$⋥≓≎$1044$⨰$2178$⇼⇔∾($1986$⋓$2491$)⨓($7380$∑⇟⊟$1916$)∲⫓(⊥($1187$⪘⫢$2951$⨎$2408$⪛$1075$))","expression":"⋰*⋻322A≧⫂∧⋰*⋻2694⋥≓≎⋰*⋻86A⨰⋰*⋻1700⇼⇔∾(⋰*⋻1546⋓⋰*⋻1965)⨓(⋰*⋻55AA∑⇟⊟⋰*⋻1492)∲⫓(⊥(⋰*⋻98A⪘⫢⋰*⋻2243⨎⋰*⋻189A⪛⋰*⋻898))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":68168,"operation_count":12,"complexity_ratio":5680.666666666667,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4267,"base":11},"right_expr":{"type":"numeric_atoms","value":3491,"base":11}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1044,"base":11},"right_expr":{"type":"numeric_atoms","value":2178,"base":11}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1986,"base":11},"right_expr":{"type":"numeric_atoms","value":2491,"base":11}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":7380,"base":11},"right_expr":{"type":"numeric_atoms","value":1916,"base":11}}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1187,"base":11},"right_expr":{"type":"numeric_atoms","value":2951,"base":11}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2408,"base":11},"right_expr":{"type":"numeric_atoms","value":1075,"base":11}}}}},"used_operators":["i8ToyICDmI","tifHPKVTfV","Qy55tPpLXF","Ph9nP6C5qx","eewbuw0ToL","3ViojmjbAp","T2fj7uvVaJ","U7g4x0WXJJ","Q3PJZHRvZv","rJVOvQCfKK","oacrs7FA3X","uFcxV4UQCh"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","fu6greOZ01","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4267","layer":4},{"info":"number node, value=3491","layer":4},{"info":"compute binary expreesion, left_input=4267, right_input=3491, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3018","layer":3},{"info":"number node, value=1044","layer":4},{"info":"number node, value=2178","layer":4},{"info":"compute binary expreesion, left_input=1044, right_input=2178, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1124","layer":3},{"info":"compute binary expreesion, left_input=3018, right_input=-1124, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-5233","layer":2},{"info":"number node, value=1986","layer":4},{"info":"number node, value=2491","layer":4},{"info":"compute binary expreesion, left_input=1986, right_input=2491, op_id = T2fj7uvVaJ binary_op_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=7380","layer":4},{"info":"number node, value=1916","layer":4},{"info":"compute binary expreesion, left_input=7380, right_input=1916, 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 = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-5233, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=1187","layer":4},{"info":"number node, value=2951","layer":4},{"info":"compute binary expreesion, left_input=1187, right_input=2951, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2250","layer":3},{"info":"number node, value=2408","layer":4},{"info":"number node, value=1075","layer":4},{"info":"compute binary expreesion, left_input=2408, right_input=1075, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=258","layer":3},{"info":"compute binary expreesion, left_input=2250, right_input=258, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=258","layer":2},{"info":"compute unary expreesion, input=258, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=-261","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-261, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⋰*⋻322A≧⫂∧⋰*⋻2694⋥≓≎⋰*⋻86A⨰⋰*⋻1700⇼⇔∾(⋰*⋻1546⋓⋰*⋻1965)⨓(⋰*⋻55AA∑⇟⊟⋰*⋻1492)∲⫓(⊥(⋰*⋻98A⪘⫢⋰*⋻2243⨎⋰*⋻189A⪛⋰*⋻898))=NaN","reverse_text":"NaN=⋰*⋻322A≧⫂∧⋰*⋻2694⋥≓≎⋰*⋻86A⨰⋰*⋻1700⇼⇔∾(⋰*⋻1546⋓⋰*⋻1965)⨓(⋰*⋻55AA∑⇟⊟⋰*⋻1492)∲⫓(⊥(⋰*⋻98A⪘⫢⋰*⋻2243⨎⋰*⋻189A⪛⋰*⋻898))","cot":[{"info":"⋰*⋻322A≧⫂∧⋰*⋻2694=⋰*⋻22A4","layer":3},{"info":"⋰*⋻86A⨰⋰*⋻1700=⋰*⋻-932","layer":3},{"info":"⋰*⋻22A4⋥≓≎⋰*⋻-932=⋰*⋻-3A28","layer":2},{"info":"⋰*⋻1546⋓⋰*⋻1965=⋰*⋻0","layer":3},{"info":"⋰*⋻55AA∑⇟⊟⋰*⋻1492=NaN","layer":3},{"info":"⋰*⋻0⨓NaN=NaN","layer":2},{"info":"⋰*⋻-3A28⇼⇔∾NaN=NaN","layer":1},{"info":"⋰*⋻98A⪘⫢⋰*⋻2243=⋰*⋻1766","layer":3},{"info":"⋰*⋻189A⪛⋰*⋻898=⋰*⋻215","layer":3},{"info":"⋰*⋻1766⨎⋰*⋻215=⋰*⋻215","layer":2},{"info":"⊥⋰*⋻215=⋰*⋻-218","layer":1},{"info":"NaN∲⫓⋰*⋻-218=NaN","layer":0}]}
{"id":298,"expression_no_base_symbol":"(($6141$⨵⪆$6121$)↙$2115$⪘⫢$3121$+($1594$⨽$2752$)⪘⫢(≤/$1609$))*(($5413$∼$3652$∲⫓$1593$⊉≛↸$2112$)⋫)","expression":"((⋰*⋻4683⨵⪆⋰*⋻4665)↙⋰*⋻1653⪘⫢⋰*⋻2388+(⋰*⋻121A⨽⋰*⋻2082)⪘⫢(≤/⋰*⋻1233))*((⋰*⋻4081∼⋰*⋻2820∲⫓⋰*⋻1219⊉≛↸⋰*⋻1650)⋫)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5853,"operation_count":12,"complexity_ratio":487.75,"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":6141,"base":11},"right_expr":{"type":"numeric_atoms","value":6121,"base":11}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2115,"base":11},"right_expr":{"type":"numeric_atoms","value":3121,"base":11}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1594,"base":11},"right_expr":{"type":"numeric_atoms","value":2752,"base":11}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1609,"base":11}}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5413,"base":11},"right_expr":{"type":"numeric_atoms","value":3652,"base":11}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1593,"base":11},"right_expr":{"type":"numeric_atoms","value":2112,"base":11}}}}},"used_operators":["9HNa5Wba9A","W4YGzv6Whe","yyfyN0ffXY","2DQ55sFlQl","oacrs7FA3X","8HhzD0ZcuI","eLAdDNolq6","JL8yIekQnl","i8ToyICDmI","DyGG3AbaNP","DZ8iAZOCBD"],"dependent_operators":["W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6141","layer":4},{"info":"number node, value=6121","layer":4},{"info":"compute binary expreesion, left_input=6141, right_input=6121, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=2115","layer":4},{"info":"number node, value=3121","layer":4},{"info":"compute binary expreesion, left_input=2115, right_input=3121, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4106","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=4106, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-12318","layer":2},{"info":"number node, value=1594","layer":4},{"info":"number node, value=2752","layer":4},{"info":"compute binary expreesion, left_input=1594, right_input=2752, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-7629450","layer":3},{"info":"number node, value=1609","layer":4},{"info":"compute unary expreesion, input=1609, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1125","layer":3},{"info":"compute binary expreesion, left_input=-7629450, right_input=-1125, 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=-12318, right_input=-1, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-12319","layer":1},{"info":"number node, value=5413","layer":4},{"info":"number node, value=3652","layer":4},{"info":"compute binary expreesion, left_input=5413, right_input=3652, 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=1593","layer":4},{"info":"number node, value=2112","layer":4},{"info":"compute binary expreesion, left_input=1593, right_input=2112, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3186","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3186, 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 = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-12319, right_input=0, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=0","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻4683⨵⪆⋰*⋻4665)↙⋰*⋻1653⪘⫢⋰*⋻2388+(⋰*⋻121A⨽⋰*⋻2082)⪘⫢(≤/⋰*⋻1233))*((⋰*⋻4081∼⋰*⋻2820∲⫓⋰*⋻1219⊉≛↸⋰*⋻1650)⋫)=⋰*⋻0","reverse_text":"⋰*⋻0=((⋰*⋻4683⨵⪆⋰*⋻4665)↙⋰*⋻1653⪘⫢⋰*⋻2388+(⋰*⋻121A⨽⋰*⋻2082)⪘⫢(≤/⋰*⋻1233))*((⋰*⋻4081∼⋰*⋻2820∲⫓⋰*⋻1219⊉≛↸⋰*⋻1650)⋫)","cot":[{"info":"⋰*⋻4683⨵⪆⋰*⋻4665=⋰*⋻136","layer":3},{"info":"⋰*⋻1653⪘⫢⋰*⋻2388=⋰*⋻30A3","layer":3},{"info":"⋰*⋻136↙⋰*⋻30A3=⋰*⋻-9289","layer":2},{"info":"⋰*⋻121A⨽⋰*⋻2082=⋰*⋻-4341134","layer":3},{"info":"≤/⋰*⋻1233=⋰*⋻-933","layer":3},{"info":"⋰*⋻-4341134⪘⫢⋰*⋻-933=⋰*⋻-1","layer":2},{"info":"⋰*⋻-9289+⋰*⋻-1=⋰*⋻-928A","layer":1},{"info":"⋰*⋻4081∼⋰*⋻2820=NaN","layer":3},{"info":"⋰*⋻1219⊉≛↸⋰*⋻1650=⋰*⋻2437","layer":3},{"info":"NaN∲⫓⋰*⋻2437=⋰*⋻0","layer":2},{"info":"⋰*⋻0⋫=⋰*⋻0","layer":1},{"info":"⋰*⋻-928A*⋰*⋻0=⋰*⋻0","layer":0}]}
{"id":299,"expression_no_base_symbol":"($1743$≧⫂∧$3781$⊭↱(↯⪼$3759$)⪒($1048$⊠≄⫣)∑⇟⊟($2968$⫥∨⫟$1000$))⪠⩆⊳","expression":"(⋰*⋻1345≧⫂∧⋰*⋻2928⊭↱(↯⪼⋰*⋻2908)⪒(⋰*⋻873⊠≄⫣)∑⇟⊟(⋰*⋻2259⫥∨⫟⋰*⋻82A))⪠⩆⊳","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":205,"operation_count":8,"complexity_ratio":25.625,"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":1743,"base":11},"right_expr":{"type":"numeric_atoms","value":3781,"base":11}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":3759,"base":11}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1048,"base":11}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2968,"base":11},"right_expr":{"type":"numeric_atoms","value":1000,"base":11}}}}},"used_operators":["JLbD19bQDL","f6k1SAg4EE","COABgblf1C","Ph9nP6C5qx","8jW3W4yZS5","U7g4x0WXJJ","DIvbN7qnHd","KYD54nUTWz"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1743","layer":4},{"info":"number node, value=3781","layer":4},{"info":"compute binary expreesion, left_input=1743, right_input=3781, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3308","layer":3},{"info":"number node, value=3759","layer":4},{"info":"compute unary expreesion, input=3759, 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=3308, right_input=-21, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-6653","layer":2},{"info":"number node, value=1048","layer":4},{"info":"compute unary expreesion, input=1048, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=2968","layer":4},{"info":"number node, value=1000","layer":4},{"info":"compute binary expreesion, left_input=2968, right_input=1000, 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 = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-6653, 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 = 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":11,"result_base":11,"text":"(⋰*⋻1345≧⫂∧⋰*⋻2928⊭↱(↯⪼⋰*⋻2908)⪒(⋰*⋻873⊠≄⫣)∑⇟⊟(⋰*⋻2259⫥∨⫟⋰*⋻82A))⪠⩆⊳=NaN","reverse_text":"NaN=(⋰*⋻1345≧⫂∧⋰*⋻2928⊭↱(↯⪼⋰*⋻2908)⪒(⋰*⋻873⊠≄⫣)∑⇟⊟(⋰*⋻2259⫥∨⫟⋰*⋻82A))⪠⩆⊳","cot":[{"info":"⋰*⋻1345≧⫂∧⋰*⋻2928=⋰*⋻2538","layer":3},{"info":"↯⪼⋰*⋻2908=⋰*⋻-1A","layer":3},{"info":"⋰*⋻2538⊭↱⋰*⋻-1A=⋰*⋻-4AA9","layer":2},{"info":"⋰*⋻873⊠≄⫣=⋰*⋻0","layer":3},{"info":"⋰*⋻2259⫥∨⫟⋰*⋻82A=NaN","layer":3},{"info":"⋰*⋻0∑⇟⊟NaN=NaN","layer":2},{"info":"⋰*⋻-4AA9⪒NaN=NaN","layer":1},{"info":"NaN⪠⩆⊳=NaN","layer":0}]}
{"id":300,"expression_no_base_symbol":"(($1241$⨸⪁$3267$)⋳⪒($4703$∧))∼(($1670$⋳⪒$1520$)∑⇟⊟($1244$≣⋋))⨐⩸⫘((⊥$8160$)⨪↰⇹($1229$⋥≓≎$2762$)≣⋋)","expression":"((⋰*⋻A29⨸⪁⋰*⋻2500)⋳⪒(⋰*⋻3596∧))∼((⋰*⋻1289⋳⪒⋰*⋻1162)∑⇟⊟(⋰*⋻A31≣⋋))⨐⩸⫘((⊥⋰*⋻6149)⨪↰⇹(⋰*⋻A18⋥≓≎⋰*⋻2091)≣⋋)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":552,"operation_count":12,"complexity_ratio":46.0,"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":1241,"base":11},"right_expr":{"type":"numeric_atoms","value":3267,"base":11}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":4703,"base":11}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1670,"base":11},"right_expr":{"type":"numeric_atoms","value":1520,"base":11}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":1244,"base":11}}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":8160,"base":11}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1229,"base":11},"right_expr":{"type":"numeric_atoms","value":2762,"base":11}}}}},"used_operators":["fu6greOZ01","DyGG3AbaNP","12rbrZMWeM","g55IO6H4Gj","z63VuFQld9","U7g4x0WXJJ","Tcnh7f0tEr","tmPS8pqC7x","Q3PJZHRvZv","Qy55tPpLXF"],"dependent_operators":["3ViojmjbAp","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rJVOvQCfKK","fu6greOZ01","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=1241","layer":4},{"info":"number node, value=3267","layer":4},{"info":"compute binary expreesion, left_input=1241, right_input=3267, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9016","layer":3},{"info":"number node, value=4703","layer":4},{"info":"compute unary expreesion, input=4703, 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=9016, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"number node, value=1670","layer":4},{"info":"number node, value=1520","layer":4},{"info":"compute binary expreesion, left_input=1670, right_input=1520, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1533","layer":3},{"info":"number node, value=1244","layer":4},{"info":"compute unary expreesion, input=1244, 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=1533, right_input=0, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=1533","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1533, 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=8160","layer":4},{"info":"compute unary expreesion, input=8160, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=1229","layer":4},{"info":"number node, value=2762","layer":4},{"info":"compute binary expreesion, left_input=1229, right_input=2762, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=4328","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4328, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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 = 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 = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻A29⨸⪁⋰*⋻2500)⋳⪒(⋰*⋻3596∧))∼((⋰*⋻1289⋳⪒⋰*⋻1162)∑⇟⊟(⋰*⋻A31≣⋋))⨐⩸⫘((⊥⋰*⋻6149)⨪↰⇹(⋰*⋻A18⋥≓≎⋰*⋻2091)≣⋋)=NaN","reverse_text":"NaN=((⋰*⋻A29⨸⪁⋰*⋻2500)⋳⪒(⋰*⋻3596∧))∼((⋰*⋻1289⋳⪒⋰*⋻1162)∑⇟⊟(⋰*⋻A31≣⋋))⨐⩸⫘((⊥⋰*⋻6149)⨪↰⇹(⋰*⋻A18⋥≓≎⋰*⋻2091)≣⋋)","cot":[{"info":"⋰*⋻A29⨸⪁⋰*⋻2500=⋰*⋻6857","layer":3},{"info":"⋰*⋻3596∧=NaN","layer":3},{"info":"⋰*⋻6857⋳⪒NaN=NaN","layer":2},{"info":"⋰*⋻1289⋳⪒⋰*⋻1162=⋰*⋻1174","layer":3},{"info":"⋰*⋻A31≣⋋=⋰*⋻0","layer":3},{"info":"⋰*⋻1174∑⇟⊟⋰*⋻0=⋰*⋻1174","layer":2},{"info":"NaN∼⋰*⋻1174=NaN","layer":1},{"info":"⊥⋰*⋻6149=NaN","layer":3},{"info":"⋰*⋻A18⋥≓≎⋰*⋻2091=⋰*⋻3285","layer":3},{"info":"NaN⨪↰⇹⋰*⋻3285=NaN","layer":2},{"info":"NaN≣⋋=NaN","layer":1},{"info":"NaN⨐⩸⫘NaN=NaN","layer":0}]}
{"id":301,"expression_no_base_symbol":"(($1410$⊭∹↮)⪨≂$1508$⨐⩸⫘$2750$)⨰(($1229$↛⩡⫤)⫥∨⫟($2647$∸))↺($1163$⨓$4586$+$8241$⪮%⊝$8423$)⋓(↩$1542$)⨟⋌⩍(≤/$2118$)","expression":"((⋰*⋻1072⊭∹↮)⪨≂⋰*⋻1151⨐⩸⫘⋰*⋻2080)⨰((⋰*⋻A18↛⩡⫤)⫥∨⫟(⋰*⋻1A97∸))↺(⋰*⋻968⨓⋰*⋻349A+⋰*⋻6212⪮%⊝⋰*⋻6368)⋓(↩⋰*⋻1182)⨟⋌⩍(≤/⋰*⋻1656)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":8805,"operation_count":15,"complexity_ratio":587.0,"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":1410,"base":11}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1508,"base":11},"right_expr":{"type":"numeric_atoms","value":2750,"base":11}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1229,"base":11}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":2647,"base":11}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1163,"base":11},"right_expr":{"type":"numeric_atoms","value":4586,"base":11}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":8241,"base":11},"right_expr":{"type":"numeric_atoms","value":8423,"base":11}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1542,"base":11}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2118,"base":11}}}}},"used_operators":["7j4O788W3g","eewbuw0ToL","sdazOOVcIp","xNBdhnnwKq","fu6greOZ01","KYD54nUTWz","FU0Cs4j7VP","o20kRiQErp","T2fj7uvVaJ","W4YGzv6Whe","3ViojmjbAp","IWmyXbctLI","rGHVDoGpnC","jLgFTUHLKL","eLAdDNolq6"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","3ViojmjbAp","8HhzD0ZcuI","rGHVDoGpnC","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","tmPS8pqC7x","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","Tcnh7f0tEr","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1410","layer":4},{"info":"compute unary expreesion, input=1410, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2820","layer":3},{"info":"number node, value=1508","layer":4},{"info":"number node, value=2750","layer":4},{"info":"compute binary expreesion, left_input=1508, right_input=2750, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=2820, 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=1229","layer":4},{"info":"compute unary expreesion, input=1229, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-181668","layer":3},{"info":"number node, value=2647","layer":4},{"info":"compute unary expreesion, input=2647, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=-181668, right_input=177, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"number node, value=1163","layer":4},{"info":"number node, value=4586","layer":4},{"info":"compute binary expreesion, left_input=1163, right_input=4586, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4589","layer":3},{"info":"number node, value=8241","layer":4},{"info":"number node, value=8423","layer":4},{"info":"compute binary expreesion, left_input=8241, right_input=8423, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=16798","layer":3},{"info":"compute binary expreesion, left_input=-4589, right_input=16798, op_id = W4YGzv6Whe binary_op_definition= 'None', output=12209","layer":2},{"info":"number node, value=1542","layer":4},{"info":"compute unary expreesion, input=1542, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-9556","layer":3},{"info":"number node, value=2118","layer":4},{"info":"compute unary expreesion, input=2118, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1634","layer":3},{"info":"compute binary expreesion, left_input=-9556, right_input=-1634, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=12209, 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 = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1072⊭∹↮)⪨≂⋰*⋻1151⨐⩸⫘⋰*⋻2080)⨰((⋰*⋻A18↛⩡⫤)⫥∨⫟(⋰*⋻1A97∸))↺(⋰*⋻968⨓⋰*⋻349A+⋰*⋻6212⪮%⊝⋰*⋻6368)⋓(↩⋰*⋻1182)⨟⋌⩍(≤/⋰*⋻1656)=NaN","reverse_text":"NaN=((⋰*⋻1072⊭∹↮)⪨≂⋰*⋻1151⨐⩸⫘⋰*⋻2080)⨰((⋰*⋻A18↛⩡⫤)⫥∨⫟(⋰*⋻1A97∸))↺(⋰*⋻968⨓⋰*⋻349A+⋰*⋻6212⪮%⊝⋰*⋻6368)⋓(↩⋰*⋻1182)⨟⋌⩍(≤/⋰*⋻1656)","cot":[{"info":"⋰*⋻1072⊭∹↮=⋰*⋻2134","layer":3},{"info":"⋰*⋻1151⨐⩸⫘⋰*⋻2080=NaN","layer":3},{"info":"⋰*⋻2134⪨≂NaN=NaN","layer":2},{"info":"⋰*⋻A18↛⩡⫤=⋰*⋻-114543","layer":3},{"info":"⋰*⋻1A97∸=⋰*⋻151","layer":3},{"info":"⋰*⋻-114543⫥∨⫟⋰*⋻151=NaN","layer":2},{"info":"NaN⨰NaN=NaN","layer":1},{"info":"⋰*⋻968⨓⋰*⋻349A=⋰*⋻-34A2","layer":3},{"info":"⋰*⋻6212⪮%⊝⋰*⋻6368=⋰*⋻11691","layer":3},{"info":"⋰*⋻-34A2+⋰*⋻11691=⋰*⋻919A","layer":2},{"info":"↩⋰*⋻1182=⋰*⋻-71A8","layer":3},{"info":"≤/⋰*⋻1656=⋰*⋻-1256","layer":3},{"info":"⋰*⋻-71A8⨟⋌⩍⋰*⋻-1256=NaN","layer":2},{"info":"⋰*⋻919A⋓NaN=NaN","layer":1},{"info":"NaN↺NaN=NaN","layer":0}]}
{"id":302,"expression_no_base_symbol":"(⨈⫕$1379$≹⇙⪍$1777$)⪛(($1433$≋⫹)-$1604$⊴$3955$)+((($5384$⨎$1806$)⨟⋌⩍($6274$≧⫂∧$3120$))∧)","expression":"(⨈⫕⋰*⋻1044≹⇙⪍⋰*⋻1376)⪛((⋰*⋻1093≋⫹)-⋰*⋻1229⊴⋰*⋻2A76)+(((⋰*⋻4055⨎⋰*⋻13A2)⨟⋌⩍(⋰*⋻4794≧⫂∧⋰*⋻2387))∧)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":4368,"operation_count":11,"complexity_ratio":397.09090909090907,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1379,"base":11},"right_expr":{"type":"numeric_atoms","value":1777,"base":11}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1433,"base":11}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1604,"base":11},"right_expr":{"type":"numeric_atoms","value":3955,"base":11}}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5384,"base":11},"right_expr":{"type":"numeric_atoms","value":1806,"base":11}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":6274,"base":11},"right_expr":{"type":"numeric_atoms","value":3120,"base":11}}}}},"used_operators":["W4YGzv6Whe","uFcxV4UQCh","megm06wKyl","AHs5Up7iyr","rysDP5nf3Z","N41Kp7NANJ","Nsiff2A1zJ","z63VuFQld9","rGHVDoGpnC","rJVOvQCfKK","Ph9nP6C5qx"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","Tcnh7f0tEr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1379","layer":4},{"info":"number node, value=1777","layer":4},{"info":"compute binary expreesion, left_input=1379, right_input=1777, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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 = 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=1433","layer":4},{"info":"compute unary expreesion, input=1433, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2866","layer":3},{"info":"number node, value=1604","layer":4},{"info":"number node, value=3955","layer":4},{"info":"compute binary expreesion, left_input=1604, right_input=3955, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2866, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-21, 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=5384","layer":4},{"info":"number node, value=1806","layer":4},{"info":"compute binary expreesion, left_input=5384, right_input=1806, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1806","layer":3},{"info":"number node, value=6274","layer":4},{"info":"number node, value=3120","layer":4},{"info":"compute binary expreesion, left_input=6274, right_input=3120, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2647","layer":3},{"info":"compute binary expreesion, left_input=1806, right_input=2647, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = 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 = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⨈⫕⋰*⋻1044≹⇙⪍⋰*⋻1376)⪛((⋰*⋻1093≋⫹)-⋰*⋻1229⊴⋰*⋻2A76)+(((⋰*⋻4055⨎⋰*⋻13A2)⨟⋌⩍(⋰*⋻4794≧⫂∧⋰*⋻2387))∧)=NaN","reverse_text":"NaN=(⨈⫕⋰*⋻1044≹⇙⪍⋰*⋻1376)⪛((⋰*⋻1093≋⫹)-⋰*⋻1229⊴⋰*⋻2A76)+(((⋰*⋻4055⨎⋰*⋻13A2)⨟⋌⩍(⋰*⋻4794≧⫂∧⋰*⋻2387))∧)","cot":[{"info":"⋰*⋻1044≹⇙⪍⋰*⋻1376=NaN","layer":3},{"info":"⨈⫕NaN=⋰*⋻-1A","layer":2},{"info":"⋰*⋻1093≋⫹=⋰*⋻-2176","layer":3},{"info":"⋰*⋻1229⊴⋰*⋻2A76=NaN","layer":3},{"info":"⋰*⋻-2176-NaN=NaN","layer":2},{"info":"⋰*⋻-1A⪛NaN=NaN","layer":1},{"info":"⋰*⋻4055⨎⋰*⋻13A2=⋰*⋻13A2","layer":3},{"info":"⋰*⋻4794≧⫂∧⋰*⋻2387=⋰*⋻1A97","layer":3},{"info":"⋰*⋻13A2⨟⋌⩍⋰*⋻1A97=NaN","layer":2},{"info":"NaN∧=NaN","layer":1},{"info":"NaN+NaN=NaN","layer":0}]}
{"id":303,"expression_no_base_symbol":"(((⊥$1668$)%$1664$%$1608$)⪒($5441$↺$1158$)⋓($3454$≎⊠⪸$3366$))⩨(($4418$⫌⩹⨱)⩤)⋥≓≎($1291$⇷$3553$⊭↱$8979$↙$7938$)","expression":"(((⊥⋰*⋻1287)%⋰*⋻1283%⋰*⋻1232)⪒(⋰*⋻40A7↺⋰*⋻963)⋓(⋰*⋻2660≎⊠⪸⋰*⋻2590))⩨((⋰*⋻3357⫌⩹⨱)⩤)⋥≓≎(⋰*⋻A74⇷⋰*⋻2740⊭↱⋰*⋻6823↙⋰*⋻5A67)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":26332,"operation_count":14,"complexity_ratio":1880.857142857143,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1668,"base":11}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1664,"base":11},"right_expr":{"type":"numeric_atoms","value":1608,"base":11}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":5441,"base":11},"right_expr":{"type":"numeric_atoms","value":1158,"base":11}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3454,"base":11},"right_expr":{"type":"numeric_atoms","value":3366,"base":11}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":4418,"base":11}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1291,"base":11},"right_expr":{"type":"numeric_atoms","value":3553,"base":11}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":8979,"base":11},"right_expr":{"type":"numeric_atoms","value":7938,"base":11}}}}},"used_operators":["2DlMacCsIx","f6k1SAg4EE","k8jYdgA6NY","Q3PJZHRvZv","T2fj7uvVaJ","7j4O788W3g","bJkvcejdHO","Qy55tPpLXF","Z2TMIBDE3Q","EBcxylXtPf","COABgblf1C","mp7IySMOzn","yyfyN0ffXY"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","fu6greOZ01","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1668","layer":4},{"info":"compute unary expreesion, input=1668, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=1664","layer":4},{"info":"number node, value=1608","layer":4},{"info":"compute binary expreesion, left_input=1664, right_input=1608, op_id = k8jYdgA6NY binary_op_definition= 'None', output=56","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=56, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=5441","layer":4},{"info":"number node, value=1158","layer":4},{"info":"compute binary expreesion, left_input=5441, right_input=1158, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1158","layer":3},{"info":"number node, value=3454","layer":4},{"info":"number node, value=3366","layer":4},{"info":"compute binary expreesion, left_input=3454, right_input=3366, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=894113","layer":3},{"info":"compute binary expreesion, left_input=1158, right_input=894113, op_id = T2fj7uvVaJ binary_op_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 = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=4418","layer":4},{"info":"compute unary expreesion, input=4418, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=10237","layer":3},{"info":"compute unary expreesion, input=10237, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-10237","layer":2},{"info":"number node, value=1291","layer":4},{"info":"number node, value=3553","layer":4},{"info":"compute binary expreesion, left_input=1291, right_input=3553, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=7106","layer":3},{"info":"number node, value=8979","layer":4},{"info":"number node, value=7938","layer":4},{"info":"compute binary expreesion, left_input=8979, right_input=7938, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-23814","layer":3},{"info":"compute binary expreesion, left_input=7106, right_input=-23814, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-61835","layer":2},{"info":"compute binary expreesion, left_input=-10237, right_input=-61835, 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 = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((⊥⋰*⋻1287)%⋰*⋻1283%⋰*⋻1232)⪒(⋰*⋻40A7↺⋰*⋻963)⋓(⋰*⋻2660≎⊠⪸⋰*⋻2590))⩨((⋰*⋻3357⫌⩹⨱)⩤)⋥≓≎(⋰*⋻A74⇷⋰*⋻2740⊭↱⋰*⋻6823↙⋰*⋻5A67)=NaN","reverse_text":"NaN=(((⊥⋰*⋻1287)%⋰*⋻1283%⋰*⋻1232)⪒(⋰*⋻40A7↺⋰*⋻963)⋓(⋰*⋻2660≎⊠⪸⋰*⋻2590))⩨((⋰*⋻3357⫌⩹⨱)⩤)⋥≓≎(⋰*⋻A74⇷⋰*⋻2740⊭↱⋰*⋻6823↙⋰*⋻5A67)","cot":[{"info":"⊥⋰*⋻1287=NaN","layer":3},{"info":"⋰*⋻1283%⋰*⋻1232=⋰*⋻51","layer":3},{"info":"NaN%⋰*⋻51=NaN","layer":2},{"info":"⋰*⋻40A7↺⋰*⋻963=⋰*⋻963","layer":3},{"info":"⋰*⋻2660≎⊠⪸⋰*⋻2590=⋰*⋻560840","layer":3},{"info":"⋰*⋻963⋓⋰*⋻560840=⋰*⋻0","layer":2},{"info":"NaN⪒⋰*⋻0=NaN","layer":1},{"info":"⋰*⋻3357⫌⩹⨱=⋰*⋻7767","layer":3},{"info":"⋰*⋻7767⩤=⋰*⋻-7767","layer":2},{"info":"⋰*⋻A74⇷⋰*⋻2740=⋰*⋻5380","layer":3},{"info":"⋰*⋻6823↙⋰*⋻5A67=⋰*⋻-1698A","layer":3},{"info":"⋰*⋻5380⊭↱⋰*⋻-1698A=⋰*⋻-42504","layer":2},{"info":"⋰*⋻-7767⋥≓≎⋰*⋻-42504=⋰*⋻61","layer":1},{"info":"NaN⩨⋰*⋻61=NaN","layer":0}]}
{"id":304,"expression_no_base_symbol":"($1209$⪢$2406$⨵⪆$3139$⊉≛↸$1074$)∀⇚≩(($2296$⨳⩥⨓$3901$)⫩⊇)⋓(⩦⩻⨪(↯⪼$3640$)⋓($5681$⩷∴$4059$))","expression":"(⋰*⋻9AA⪢⋰*⋻1898⨵⪆⋰*⋻23A4⊉≛↸⋰*⋻897)∀⇚≩((⋰*⋻17A8⨳⩥⨓⋰*⋻2A27)⫩⊇)⋓(⩦⩻⨪(↯⪼⋰*⋻280A)⋓(⋰*⋻42A5⩷∴⋰*⋻3060))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3600,"operation_count":11,"complexity_ratio":327.27272727272725,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1209,"base":11},"right_expr":{"type":"numeric_atoms","value":2406,"base":11}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3139,"base":11},"right_expr":{"type":"numeric_atoms","value":1074,"base":11}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2296,"base":11},"right_expr":{"type":"numeric_atoms","value":3901,"base":11}}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":3640,"base":11}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":5681,"base":11},"right_expr":{"type":"numeric_atoms","value":4059,"base":11}}}}},"used_operators":["T2fj7uvVaJ","LRNGc0VcxI","2DQ55sFlQl","dWAJyo7jo9","DZ8iAZOCBD","BjRHVeLaeN","nCS4ZIUYfx","2td37pGCOC","8jW3W4yZS5","9FxExcQeMw"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1209","layer":4},{"info":"number node, value=2406","layer":4},{"info":"compute binary expreesion, left_input=1209, right_input=2406, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=3139","layer":4},{"info":"number node, value=1074","layer":4},{"info":"compute binary expreesion, left_input=3139, right_input=1074, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6278","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6278, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=2296","layer":4},{"info":"number node, value=3901","layer":4},{"info":"compute binary expreesion, left_input=2296, right_input=3901, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1605","layer":3},{"info":"compute unary expreesion, input=1605, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1563","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-1563, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=3640","layer":4},{"info":"compute unary expreesion, input=3640, 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=5681","layer":4},{"info":"number node, value=4059","layer":4},{"info":"compute binary expreesion, left_input=5681, right_input=4059, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=3212","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=3212, op_id = T2fj7uvVaJ binary_op_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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((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":11,"result_base":11,"text":"(⋰*⋻9AA⪢⋰*⋻1898⨵⪆⋰*⋻23A4⊉≛↸⋰*⋻897)∀⇚≩((⋰*⋻17A8⨳⩥⨓⋰*⋻2A27)⫩⊇)⋓(⩦⩻⨪(↯⪼⋰*⋻280A)⋓(⋰*⋻42A5⩷∴⋰*⋻3060))=⋰*⋻0","reverse_text":"⋰*⋻0=(⋰*⋻9AA⪢⋰*⋻1898⨵⪆⋰*⋻23A4⊉≛↸⋰*⋻897)∀⇚≩((⋰*⋻17A8⨳⩥⨓⋰*⋻2A27)⫩⊇)⋓(⩦⩻⨪(↯⪼⋰*⋻280A)⋓(⋰*⋻42A5⩷∴⋰*⋻3060))","cot":[{"info":"⋰*⋻9AA⪢⋰*⋻1898=NaN","layer":3},{"info":"⋰*⋻23A4⊉≛↸⋰*⋻897=⋰*⋻4798","layer":3},{"info":"NaN⨵⪆⋰*⋻4798=⋰*⋻136","layer":2},{"info":"⋰*⋻17A8⨳⩥⨓⋰*⋻2A27=⋰*⋻122A","layer":3},{"info":"⋰*⋻122A⫩⊇=⋰*⋻-11A1","layer":2},{"info":"⋰*⋻136∀⇚≩⋰*⋻-11A1=NaN","layer":1},{"info":"↯⪼⋰*⋻280A=⋰*⋻-1A","layer":3},{"info":"⋰*⋻42A5⩷∴⋰*⋻3060=⋰*⋻2460","layer":3},{"info":"⋰*⋻-1A⋓⋰*⋻2460=⋰*⋻0","layer":2},{"info":"⩦⩻⨪⋰*⋻0=⋰*⋻0","layer":1},{"info":"NaN⋓⋰*⋻0=⋰*⋻0","layer":0}]}
{"id":305,"expression_no_base_symbol":"((($5803$-$1662$)⊘)%($1134$⨽$1640$)⨐⩸⫘($1291$⨵⪆$3385$))⩚⊴⇥(⊙↵-($2410$⨎$2894$)≹⇙⪍($1742$⊉≛↸$7357$))","expression":"(((⋰*⋻43A6-⋰*⋻1281)⊘)%(⋰*⋻941⨽⋰*⋻1261)⨐⩸⫘(⋰*⋻A74⨵⪆⋰*⋻25A8))⩚⊴⇥(⊙↵-(⋰*⋻18A1⨎⋰*⋻21A1)≹⇙⪍(⋰*⋻1344⊉≛↸⋰*⋻5589))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":27759,"operation_count":11,"complexity_ratio":2523.5454545454545,"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":5803,"base":11},"right_expr":{"type":"numeric_atoms","value":1662,"base":11}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1134,"base":11},"right_expr":{"type":"numeric_atoms","value":1640,"base":11}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1291,"base":11},"right_expr":{"type":"numeric_atoms","value":3385,"base":11}}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2410,"base":11},"right_expr":{"type":"numeric_atoms","value":2894,"base":11}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1742,"base":11},"right_expr":{"type":"numeric_atoms","value":7357,"base":11}}}}},"used_operators":["NTOWxs364D","k8jYdgA6NY","gu96TGCTMs","rysDP5nf3Z","fu6greOZ01","8HhzD0ZcuI","2DQ55sFlQl","oWn0xqSxBt","AHs5Up7iyr","rJVOvQCfKK","DZ8iAZOCBD"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","3ViojmjbAp","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","dWAJyo7jo9","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5803","layer":4},{"info":"number node, value=1662","layer":4},{"info":"compute binary expreesion, left_input=5803, right_input=1662, op_id = rysDP5nf3Z binary_op_definition= 'None', output=4141","layer":3},{"info":"compute unary expreesion, input=4141, 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=1134","layer":4},{"info":"number node, value=1640","layer":4},{"info":"compute binary expreesion, left_input=1134, right_input=1640, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3861474","layer":3},{"info":"number node, value=1291","layer":4},{"info":"number node, value=3385","layer":4},{"info":"compute binary expreesion, left_input=1291, right_input=3385, 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=-3861474, right_input=160, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-163","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-163, op_id = k8jYdgA6NY binary_op_definition= 'None', output=0","layer":1},{"info":"number node, value=2410","layer":4},{"info":"number node, value=2894","layer":4},{"info":"compute binary expreesion, left_input=2410, right_input=2894, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2894","layer":3},{"info":"number node, value=1742","layer":4},{"info":"number node, value=7357","layer":4},{"info":"compute binary expreesion, left_input=1742, right_input=7357, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3484","layer":3},{"info":"compute binary expreesion, left_input=2894, right_input=3484, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":"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":11,"result_base":11,"text":"(((⋰*⋻43A6-⋰*⋻1281)⊘)%(⋰*⋻941⨽⋰*⋻1261)⨐⩸⫘(⋰*⋻A74⨵⪆⋰*⋻25A8))⩚⊴⇥(⊙↵-(⋰*⋻18A1⨎⋰*⋻21A1)≹⇙⪍(⋰*⋻1344⊉≛↸⋰*⋻5589))=NaN","reverse_text":"NaN=(((⋰*⋻43A6-⋰*⋻1281)⊘)%(⋰*⋻941⨽⋰*⋻1261)⨐⩸⫘(⋰*⋻A74⨵⪆⋰*⋻25A8))⩚⊴⇥(⊙↵-(⋰*⋻18A1⨎⋰*⋻21A1)≹⇙⪍(⋰*⋻1344⊉≛↸⋰*⋻5589))","cot":[{"info":"⋰*⋻43A6-⋰*⋻1281=⋰*⋻3125","layer":3},{"info":"⋰*⋻3125⊘=⋰*⋻0","layer":2},{"info":"⋰*⋻941⨽⋰*⋻1261=⋰*⋻-21A8201","layer":3},{"info":"⋰*⋻A74⨵⪆⋰*⋻25A8=⋰*⋻136","layer":3},{"info":"⋰*⋻-21A8201⨐⩸⫘⋰*⋻136=⋰*⋻-139","layer":2},{"info":"⋰*⋻0%⋰*⋻-139=⋰*⋻0","layer":1},{"info":"⋰*⋻18A1⨎⋰*⋻21A1=⋰*⋻21A1","layer":3},{"info":"⋰*⋻1344⊉≛↸⋰*⋻5589=⋰*⋻2688","layer":3},{"info":"⋰*⋻21A1≹⇙⪍⋰*⋻2688=NaN","layer":2},{"info":"⊙↵-NaN=NaN","layer":1},{"info":"⋰*⋻0⩚⊴⇥NaN=NaN","layer":0}]}
{"id":306,"expression_no_base_symbol":"(↯⪼(($3688$⋫)⩚⊴⇥$1396$⋝⋈⪟$1084$))↙(($1186$∲⫓$5881$)∲⫓$1473$≧⫂∧$1720$)⪢(($1116$↪⪝)⨰($6170$⇼⇔∾$1945$))","expression":"(↯⪼((⋰*⋻2853⋫)⩚⊴⇥⋰*⋻105A⋝⋈⪟⋰*⋻8A6))↙((⋰*⋻989∲⫓⋰*⋻4467)∲⫓⋰*⋻111A≧⫂∧⋰*⋻1324)⪢((⋰*⋻925↪⪝)⨰(⋰*⋻46AA⇼⇔∾⋰*⋻1509))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4425,"operation_count":12,"complexity_ratio":368.75,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":3688,"base":11}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1396,"base":11},"right_expr":{"type":"numeric_atoms","value":1084,"base":11}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1186,"base":11},"right_expr":{"type":"numeric_atoms","value":5881,"base":11}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1473,"base":11},"right_expr":{"type":"numeric_atoms","value":1720,"base":11}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1116,"base":11}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":6170,"base":11},"right_expr":{"type":"numeric_atoms","value":1945,"base":11}}}}},"used_operators":["yyfyN0ffXY","8jW3W4yZS5","NTOWxs364D","JL8yIekQnl","2DDjHMKMc0","dWAJyo7jo9","i8ToyICDmI","Ph9nP6C5qx","eewbuw0ToL","l07mrZUIn9","tifHPKVTfV"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3688","layer":4},{"info":"compute unary expreesion, input=3688, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=3688","layer":3},{"info":"number node, value=1396","layer":4},{"info":"number node, value=1084","layer":4},{"info":"compute binary expreesion, left_input=1396, right_input=1084, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1396","layer":3},{"info":"compute binary expreesion, left_input=3688, right_input=1396, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5205","layer":2},{"info":"compute unary expreesion, input=-5205, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=9493","layer":1},{"info":"number node, value=1186","layer":4},{"info":"number node, value=5881","layer":4},{"info":"compute binary expreesion, left_input=1186, right_input=5881, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1473","layer":4},{"info":"number node, value=1720","layer":4},{"info":"compute binary expreesion, left_input=1473, right_input=1720, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1247","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1247, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=1116","layer":4},{"info":"compute unary expreesion, input=1116, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=68279112","layer":3},{"info":"number node, value=6170","layer":4},{"info":"number node, value=1945","layer":4},{"info":"compute binary expreesion, left_input=6170, right_input=1945, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-4225","layer":3},{"info":"compute binary expreesion, left_input=68279112, right_input=-4225, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=68283347","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=68283347, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=9493, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(↯⪼((⋰*⋻2853⋫)⩚⊴⇥⋰*⋻105A⋝⋈⪟⋰*⋻8A6))↙((⋰*⋻989∲⫓⋰*⋻4467)∲⫓⋰*⋻111A≧⫂∧⋰*⋻1324)⪢((⋰*⋻925↪⪝)⨰(⋰*⋻46AA⇼⇔∾⋰*⋻1509))=NaN","reverse_text":"NaN=(↯⪼((⋰*⋻2853⋫)⩚⊴⇥⋰*⋻105A⋝⋈⪟⋰*⋻8A6))↙((⋰*⋻989∲⫓⋰*⋻4467)∲⫓⋰*⋻111A≧⫂∧⋰*⋻1324)⪢((⋰*⋻925↪⪝)⨰(⋰*⋻46AA⇼⇔∾⋰*⋻1509))","cot":[{"info":"⋰*⋻2853⋫=⋰*⋻2853","layer":3},{"info":"⋰*⋻105A⋝⋈⪟⋰*⋻8A6=⋰*⋻105A","layer":3},{"info":"⋰*⋻2853⩚⊴⇥⋰*⋻105A=⋰*⋻-3A02","layer":2},{"info":"↯⪼⋰*⋻-3A02=⋰*⋻7150","layer":1},{"info":"⋰*⋻989∲⫓⋰*⋻4467=⋰*⋻0","layer":3},{"info":"⋰*⋻111A≧⫂∧⋰*⋻1324=⋰*⋻A34","layer":3},{"info":"⋰*⋻0∲⫓⋰*⋻A34=⋰*⋻0","layer":2},{"info":"⋰*⋻925↪⪝=⋰*⋻355A6120","layer":3},{"info":"⋰*⋻46AA⇼⇔∾⋰*⋻1509=⋰*⋻-31A1","layer":3},{"info":"⋰*⋻355A6120⨰⋰*⋻-31A1=⋰*⋻355A9320","layer":2},{"info":"⋰*⋻0⪢⋰*⋻355A9320=NaN","layer":1},{"info":"⋰*⋻7150↙NaN=NaN","layer":0}]}
{"id":307,"expression_no_base_symbol":"(($1016$⊉≛↸$5610$+($6451$⋷$1724$))≎⊠⪸($1268$⋥≓≎$3523$⪨≂$1762$↺$5770$))⪛(($3713$⨸⪁$1095$⨵⪆($3810$⊪))⋫)","expression":"((⋰*⋻844⊉≛↸⋰*⋻4240+(⋰*⋻4935⋷⋰*⋻1328))≎⊠⪸(⋰*⋻A53⋥≓≎⋰*⋻2713⪨≂⋰*⋻1362↺⋰*⋻4376))⪛((⋰*⋻2876⨸⪁⋰*⋻906⨵⪆(⋰*⋻2954⊪))⋫)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2059,"operation_count":12,"complexity_ratio":171.58333333333334,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1016,"base":11},"right_expr":{"type":"numeric_atoms","value":5610,"base":11}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":6451,"base":11},"right_expr":{"type":"numeric_atoms","value":1724,"base":11}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1268,"base":11},"right_expr":{"type":"numeric_atoms","value":3523,"base":11}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1762,"base":11},"right_expr":{"type":"numeric_atoms","value":5770,"base":11}}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3713,"base":11},"right_expr":{"type":"numeric_atoms","value":1095,"base":11}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":3810,"base":11}}}}},"used_operators":["uFcxV4UQCh","bJkvcejdHO","W4YGzv6Whe","DZ8iAZOCBD","23Mk6UjR3U","sdazOOVcIp","Qy55tPpLXF","7j4O788W3g","JL8yIekQnl","2DQ55sFlQl","g55IO6H4Gj","zVYPLywUTj"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"⋰*⋻108","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1016","layer":4},{"info":"number node, value=5610","layer":4},{"info":"compute binary expreesion, left_input=1016, right_input=5610, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2032","layer":3},{"info":"number node, value=6451","layer":4},{"info":"number node, value=1724","layer":4},{"info":"compute binary expreesion, left_input=6451, right_input=1724, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-3003","layer":3},{"info":"compute binary expreesion, left_input=2032, right_input=-3003, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-971","layer":2},{"info":"number node, value=1268","layer":4},{"info":"number node, value=3523","layer":4},{"info":"compute binary expreesion, left_input=1268, right_input=3523, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=5811","layer":3},{"info":"number node, value=1762","layer":4},{"info":"number node, value=5770","layer":4},{"info":"compute binary expreesion, left_input=1762, right_input=5770, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5770","layer":3},{"info":"compute binary expreesion, left_input=5811, right_input=5770, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=184","layer":2},{"info":"compute binary expreesion, left_input=-971, right_input=184, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=251489","layer":1},{"info":"number node, value=3713","layer":4},{"info":"number node, value=1095","layer":4},{"info":"compute binary expreesion, left_input=3713, right_input=1095, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9616","layer":3},{"info":"number node, value=3810","layer":4},{"info":"compute unary expreesion, input=3810, 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=9616, 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 = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=251489, right_input=160, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=129","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻844⊉≛↸⋰*⋻4240+(⋰*⋻4935⋷⋰*⋻1328))≎⊠⪸(⋰*⋻A53⋥≓≎⋰*⋻2713⪨≂⋰*⋻1362↺⋰*⋻4376))⪛((⋰*⋻2876⨸⪁⋰*⋻906⨵⪆(⋰*⋻2954⊪))⋫)=⋰*⋻108","reverse_text":"⋰*⋻108=((⋰*⋻844⊉≛↸⋰*⋻4240+(⋰*⋻4935⋷⋰*⋻1328))≎⊠⪸(⋰*⋻A53⋥≓≎⋰*⋻2713⪨≂⋰*⋻1362↺⋰*⋻4376))⪛((⋰*⋻2876⨸⪁⋰*⋻906⨵⪆(⋰*⋻2954⊪))⋫)","cot":[{"info":"⋰*⋻844⊉≛↸⋰*⋻4240=⋰*⋻1588","layer":3},{"info":"⋰*⋻4935⋷⋰*⋻1328=⋰*⋻-2290","layer":3},{"info":"⋰*⋻1588+⋰*⋻-2290=⋰*⋻-803","layer":2},{"info":"⋰*⋻A53⋥≓≎⋰*⋻2713=⋰*⋻4403","layer":3},{"info":"⋰*⋻1362↺⋰*⋻4376=⋰*⋻4376","layer":3},{"info":"⋰*⋻4403⪨≂⋰*⋻4376=⋰*⋻158","layer":2},{"info":"⋰*⋻-803≎⊠⪸⋰*⋻158=⋰*⋻161A47","layer":1},{"info":"⋰*⋻2876⨸⪁⋰*⋻906=⋰*⋻7252","layer":3},{"info":"⋰*⋻2954⊪=⋰*⋻0","layer":3},{"info":"⋰*⋻7252⨵⪆⋰*⋻0=⋰*⋻136","layer":2},{"info":"⋰*⋻136⋫=⋰*⋻136","layer":1},{"info":"⋰*⋻161A47⪛⋰*⋻136=⋰*⋻108","layer":0}]}
{"id":308,"expression_no_base_symbol":"(($1229$%$1336$)⨟⋌⩍($2529$+⇶⊼$2775$)⪨≂($5447$%$3702$)⊭↱($4108$⊭↱$6876$))∼($5661$∼$4439$⋳⪒($5376$⊉≛↸$1812$)⫥∨⫟($2899$⪮%⊝$1714$⪄($8303$⪨≂$1881$)))","expression":"((⋰*⋻A18%⋰*⋻1005)⨟⋌⩍(⋰*⋻199A+⇶⊼⋰*⋻20A3)⪨≂(⋰*⋻4102%⋰*⋻2866)⊭↱(⋰*⋻30A5⊭↱⋰*⋻5191))∼(⋰*⋻4287∼⋰*⋻3376⋳⪒(⋰*⋻4048⊉≛↸⋰*⋻13A8)⫥∨⫟(⋰*⋻21A6⪮%⊝⋰*⋻1319⪄(⋰*⋻6269⪨≂⋰*⋻1460)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":409,"operation_count":15,"complexity_ratio":27.266666666666666,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1229,"base":11},"right_expr":{"type":"numeric_atoms","value":1336,"base":11}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2529,"base":11},"right_expr":{"type":"numeric_atoms","value":2775,"base":11}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":5447,"base":11},"right_expr":{"type":"numeric_atoms","value":3702,"base":11}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4108,"base":11},"right_expr":{"type":"numeric_atoms","value":6876,"base":11}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5661,"base":11},"right_expr":{"type":"numeric_atoms","value":4439,"base":11}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":5376,"base":11},"right_expr":{"type":"numeric_atoms","value":1812,"base":11}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2899,"base":11},"right_expr":{"type":"numeric_atoms","value":1714,"base":11}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":8303,"base":11},"right_expr":{"type":"numeric_atoms","value":1881,"base":11}}}}},"used_operators":["DyGG3AbaNP","sdazOOVcIp","rGHVDoGpnC","k8jYdgA6NY","TpPTUOHfaN","COABgblf1C","KYD54nUTWz","12rbrZMWeM","DZ8iAZOCBD","SUmda5xLS4","IWmyXbctLI"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1229","layer":4},{"info":"number node, value=1336","layer":4},{"info":"compute binary expreesion, left_input=1229, right_input=1336, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1229","layer":3},{"info":"number node, value=2529","layer":4},{"info":"number node, value=2775","layer":4},{"info":"compute binary expreesion, left_input=2529, right_input=2775, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=1229, 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=5447","layer":4},{"info":"number node, value=3702","layer":4},{"info":"compute binary expreesion, left_input=5447, right_input=3702, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1745","layer":3},{"info":"number node, value=4108","layer":4},{"info":"number node, value=6876","layer":4},{"info":"compute binary expreesion, left_input=4108, right_input=6876, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=5541","layer":3},{"info":"compute binary expreesion, left_input=1745, right_input=5541, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=7597","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=7597, op_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=5661","layer":4},{"info":"number node, value=4439","layer":4},{"info":"compute binary expreesion, left_input=5661, right_input=4439, 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=5376","layer":4},{"info":"number node, value=1812","layer":4},{"info":"compute binary expreesion, left_input=5376, right_input=1812, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=10752","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=10752, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"number node, value=2899","layer":4},{"info":"number node, value=1714","layer":4},{"info":"compute binary expreesion, left_input=2899, right_input=1714, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6114","layer":3},{"info":"number node, value=8303","layer":4},{"info":"number node, value=1881","layer":4},{"info":"compute binary expreesion, left_input=8303, right_input=1881, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=12946","layer":3},{"info":"compute binary expreesion, left_input=6114, right_input=12946, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-952745","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-952745, 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 = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻A18%⋰*⋻1005)⨟⋌⩍(⋰*⋻199A+⇶⊼⋰*⋻20A3)⪨≂(⋰*⋻4102%⋰*⋻2866)⊭↱(⋰*⋻30A5⊭↱⋰*⋻5191))∼(⋰*⋻4287∼⋰*⋻3376⋳⪒(⋰*⋻4048⊉≛↸⋰*⋻13A8)⫥∨⫟(⋰*⋻21A6⪮%⊝⋰*⋻1319⪄(⋰*⋻6269⪨≂⋰*⋻1460)))=NaN","reverse_text":"NaN=((⋰*⋻A18%⋰*⋻1005)⨟⋌⩍(⋰*⋻199A+⇶⊼⋰*⋻20A3)⪨≂(⋰*⋻4102%⋰*⋻2866)⊭↱(⋰*⋻30A5⊭↱⋰*⋻5191))∼(⋰*⋻4287∼⋰*⋻3376⋳⪒(⋰*⋻4048⊉≛↸⋰*⋻13A8)⫥∨⫟(⋰*⋻21A6⪮%⊝⋰*⋻1319⪄(⋰*⋻6269⪨≂⋰*⋻1460)))","cot":[{"info":"⋰*⋻A18%⋰*⋻1005=⋰*⋻A18","layer":3},{"info":"⋰*⋻199A+⇶⊼⋰*⋻20A3=NaN","layer":3},{"info":"⋰*⋻A18⨟⋌⩍NaN=NaN","layer":2},{"info":"⋰*⋻4102%⋰*⋻2866=⋰*⋻1347","layer":3},{"info":"⋰*⋻30A5⊭↱⋰*⋻5191=⋰*⋻4188","layer":3},{"info":"⋰*⋻1347⊭↱⋰*⋻4188=⋰*⋻5787","layer":2},{"info":"NaN⪨≂⋰*⋻5787=NaN","layer":1},{"info":"⋰*⋻4287∼⋰*⋻3376=NaN","layer":3},{"info":"⋰*⋻4048⊉≛↸⋰*⋻13A8=⋰*⋻8095","layer":3},{"info":"NaN⋳⪒⋰*⋻8095=NaN","layer":2},{"info":"⋰*⋻21A6⪮%⊝⋰*⋻1319=⋰*⋻4659","layer":3},{"info":"⋰*⋻6269⪨≂⋰*⋻1460=⋰*⋻97AA","layer":3},{"info":"⋰*⋻4659⪄⋰*⋻97AA=⋰*⋻-5A08A2","layer":2},{"info":"NaN⫥∨⫟⋰*⋻-5A08A2=NaN","layer":1},{"info":"NaN∼NaN=NaN","layer":0}]}
{"id":309,"expression_no_base_symbol":"(⋗⩬⋾(∂$1026$∼$1561$))⪠⩆⊳","expression":"(⋗⩬⋾(∂⋰*⋻853∼⋰*⋻119A))⪠⩆⊳","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":32,"operation_count":4,"complexity_ratio":8.0,"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":1026,"base":11},"right_expr":{"type":"numeric_atoms","value":1561,"base":11}}}}},"used_operators":["JLbD19bQDL","DpFCA1CohY","Uaa54Peajs","DyGG3AbaNP"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=1026","layer":4},{"info":"number node, value=1561","layer":4},{"info":"compute binary expreesion, left_input=1026, right_input=1561, 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 = 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 = 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 = 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":11,"result_base":11,"text":"(⋗⩬⋾(∂⋰*⋻853∼⋰*⋻119A))⪠⩆⊳=NaN","reverse_text":"NaN=(⋗⩬⋾(∂⋰*⋻853∼⋰*⋻119A))⪠⩆⊳","cot":[{"info":"⋰*⋻853∼⋰*⋻119A=NaN","layer":3},{"info":"∂NaN=NaN","layer":2},{"info":"⋗⩬⋾NaN=NaN","layer":1},{"info":"NaN⪠⩆⊳=NaN","layer":0}]}
{"id":310,"expression_no_base_symbol":"((⊙↵-(⊥$1588$))≋⫹)%(($1904$≧⫂∧$2311$⨽($4976$⩠))≦≮≮)","expression":"((⊙↵-(⊥⋰*⋻1214))≋⫹)%((⋰*⋻1481≧⫂∧⋰*⋻1811⨽(⋰*⋻3814⩠))≦≮≮)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1901,"operation_count":8,"complexity_ratio":237.625,"tree":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1588,"base":11}}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1904,"base":11},"right_expr":{"type":"numeric_atoms","value":2311,"base":11}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":4976,"base":11}}}}},"used_operators":["k8jYdgA6NY","N41Kp7NANJ","oWn0xqSxBt","Q3PJZHRvZv","D4vGDi5EA2","8HhzD0ZcuI","Ph9nP6C5qx","sJAwomhLZr"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","fu6greOZ01","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1588","layer":4},{"info":"compute unary expreesion, input=1588, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=nan","layer":1},{"info":"number node, value=1904","layer":4},{"info":"number node, value=2311","layer":4},{"info":"compute binary expreesion, left_input=1904, right_input=2311, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1838","layer":3},{"info":"number node, value=4976","layer":4},{"info":"compute unary expreesion, input=4976, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1838, right_input=0, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-10133418","layer":2},{"info":"compute unary expreesion, input=-10133418, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=30400254","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=30400254, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⊙↵-(⊥⋰*⋻1214))≋⫹)%((⋰*⋻1481≧⫂∧⋰*⋻1811⨽(⋰*⋻3814⩠))≦≮≮)=NaN","reverse_text":"NaN=((⊙↵-(⊥⋰*⋻1214))≋⫹)%((⋰*⋻1481≧⫂∧⋰*⋻1811⨽(⋰*⋻3814⩠))≦≮≮)","cot":[{"info":"⊥⋰*⋻1214=NaN","layer":3},{"info":"⊙↵-NaN=NaN","layer":2},{"info":"NaN≋⫹=NaN","layer":1},{"info":"⋰*⋻1481≧⫂∧⋰*⋻1811=⋰*⋻1421","layer":3},{"info":"⋰*⋻3814⩠=⋰*⋻0","layer":3},{"info":"⋰*⋻1421⨽⋰*⋻0=⋰*⋻-57A1429","layer":2},{"info":"⋰*⋻-57A1429≦≮≮=⋰*⋻16184185","layer":1},{"info":"NaN%⋰*⋻16184185=NaN","layer":0}]}
{"id":311,"expression_no_base_symbol":"(⨵≀≌($4952$⨐⩸⫘$2102$⋷(⫓⪴$1380$)))≋⫹","expression":"(⨵≀≌(⋰*⋻37A2⨐⩸⫘⋰*⋻1641⋷(⫓⪴⋰*⋻1045)))≋⫹","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1389,"operation_count":5,"complexity_ratio":277.8,"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":4952,"base":11},"right_expr":{"type":"numeric_atoms","value":2102,"base":11}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1380,"base":11}}}}},"used_operators":["N41Kp7NANJ","srAu1WTS94","23Mk6UjR3U","fu6greOZ01","eLxqMNBOBk"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4952","layer":4},{"info":"number node, value=2102","layer":4},{"info":"compute binary expreesion, left_input=4952, right_input=2102, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=1380","layer":4},{"info":"compute unary expreesion, input=1380, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1904400","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1904400, 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 = 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 = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⨵≀≌(⋰*⋻37A2⨐⩸⫘⋰*⋻1641⋷(⫓⪴⋰*⋻1045)))≋⫹=NaN","reverse_text":"NaN=(⨵≀≌(⋰*⋻37A2⨐⩸⫘⋰*⋻1641⋷(⫓⪴⋰*⋻1045)))≋⫹","cot":[{"info":"⋰*⋻37A2⨐⩸⫘⋰*⋻1641=NaN","layer":3},{"info":"⫓⪴⋰*⋻1045=⋰*⋻1090893","layer":3},{"info":"NaN⋷⋰*⋻1090893=NaN","layer":2},{"info":"⨵≀≌NaN=NaN","layer":1},{"info":"NaN≋⫹=NaN","layer":0}]}
{"id":312,"expression_no_base_symbol":"≦∁($2739$⪒$4408$)↬($5105$⨎$1428$)⨎((⨰⫟⨤$2942$)⨽$6024$⨽$6590$)","expression":"≦∁(⋰*⋻2070⪒⋰*⋻3348)↬(⋰*⋻3921⨎⋰*⋻1089)⨎((⨰⫟⨤⋰*⋻2235)⨽⋰*⋻4587⨽⋰*⋻4A51)","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":16978,"operation_count":8,"complexity_ratio":2122.25,"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":2739,"base":11},"right_expr":{"type":"numeric_atoms","value":4408,"base":11}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5105,"base":11},"right_expr":{"type":"numeric_atoms","value":1428,"base":11}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2942,"base":11}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":6024,"base":11},"right_expr":{"type":"numeric_atoms","value":6590,"base":11}}}}},"used_operators":["9ICcGScMcE","rJVOvQCfKK","B5M0gjZbta","f6k1SAg4EE","8HhzD0ZcuI","Tw270M8GLb"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2739","layer":4},{"info":"number node, value=4408","layer":4},{"info":"compute binary expreesion, left_input=2739, right_input=4408, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7147","layer":3},{"info":"number node, value=5105","layer":4},{"info":"number node, value=1428","layer":4},{"info":"compute binary expreesion, left_input=5105, right_input=1428, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1428","layer":3},{"info":"compute binary expreesion, left_input=-7147, right_input=1428, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=2942","layer":4},{"info":"compute unary expreesion, input=2942, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=6024","layer":4},{"info":"number node, value=6590","layer":4},{"info":"compute binary expreesion, left_input=6024, right_input=6590, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-108884184","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-108884184, 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 = 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 = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"≦∁(⋰*⋻2070⪒⋰*⋻3348)↬(⋰*⋻3921⨎⋰*⋻1089)⨎((⨰⫟⨤⋰*⋻2235)⨽⋰*⋻4587⨽⋰*⋻4A51)=NaN","reverse_text":"NaN=≦∁(⋰*⋻2070⪒⋰*⋻3348)↬(⋰*⋻3921⨎⋰*⋻1089)⨎((⨰⫟⨤⋰*⋻2235)⨽⋰*⋻4587⨽⋰*⋻4A51)","cot":[{"info":"⋰*⋻2070⪒⋰*⋻3348=⋰*⋻-5408","layer":3},{"info":"⋰*⋻3921⨎⋰*⋻1089=⋰*⋻1089","layer":3},{"info":"⋰*⋻-5408↬⋰*⋻1089=NaN","layer":2},{"info":"⨰⫟⨤⋰*⋻2235=NaN","layer":3},{"info":"⋰*⋻4587⨽⋰*⋻4A51=⋰*⋻-5650A332","layer":3},{"info":"NaN⨽⋰*⋻-5650A332=NaN","layer":2},{"info":"NaN⨎NaN=NaN","layer":1},{"info":"≦∁NaN=NaN","layer":0}]}
{"id":313,"expression_no_base_symbol":"↣≠⋷($6007$⪛$3317$∼($2205$⫡⨏$1417$)⋷($3619$/$2364$)⋓($2926$*$1254$))","expression":"↣≠⋷(⋰*⋻4571⪛⋰*⋻2546∼(⋰*⋻1725⫡⨏⋰*⋻1079)⋷(⋰*⋻27A0/⋰*⋻185A)⋓(⋰*⋻2220*⋰*⋻A40))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1338,"operation_count":8,"complexity_ratio":167.25,"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":6007,"base":11},"right_expr":{"type":"numeric_atoms","value":3317,"base":11}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2205,"base":11},"right_expr":{"type":"numeric_atoms","value":1417,"base":11}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3619,"base":11},"right_expr":{"type":"numeric_atoms","value":2364,"base":11}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2926,"base":11},"right_expr":{"type":"numeric_atoms","value":1254,"base":11}}}}},"used_operators":["Asc51vEJeQ","23Mk6UjR3U","DyGG3AbaNP","uFcxV4UQCh","QMFrweE19q","T2fj7uvVaJ","XhwjNDsVaA","9HNa5Wba9A"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6007","layer":4},{"info":"number node, value=3317","layer":4},{"info":"compute binary expreesion, left_input=6007, right_input=3317, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2690","layer":3},{"info":"number node, value=2205","layer":4},{"info":"number node, value=1417","layer":4},{"info":"compute binary expreesion, left_input=2205, right_input=1417, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=14642","layer":3},{"info":"compute binary expreesion, left_input=2690, right_input=14642, 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=3619","layer":4},{"info":"number node, value=2364","layer":4},{"info":"compute binary expreesion, left_input=3619, right_input=2364, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"number node, value=2926","layer":4},{"info":"number node, value=1254","layer":4},{"info":"compute binary expreesion, left_input=2926, right_input=1254, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3669204","layer":3},{"info":"compute binary expreesion, left_input=1, right_input=3669204, op_id = T2fj7uvVaJ binary_op_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 = 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 = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"↣≠⋷(⋰*⋻4571⪛⋰*⋻2546∼(⋰*⋻1725⫡⨏⋰*⋻1079)⋷(⋰*⋻27A0/⋰*⋻185A)⋓(⋰*⋻2220*⋰*⋻A40))=NaN","reverse_text":"NaN=↣≠⋷(⋰*⋻4571⪛⋰*⋻2546∼(⋰*⋻1725⫡⨏⋰*⋻1079)⋷(⋰*⋻27A0/⋰*⋻185A)⋓(⋰*⋻2220*⋰*⋻A40))","cot":[{"info":"⋰*⋻4571⪛⋰*⋻2546=⋰*⋻2026","layer":3},{"info":"⋰*⋻1725⫡⨏⋰*⋻1079=⋰*⋻10001","layer":3},{"info":"⋰*⋻2026∼⋰*⋻10001=NaN","layer":2},{"info":"⋰*⋻27A0/⋰*⋻185A=⋰*⋻1","layer":3},{"info":"⋰*⋻2220*⋰*⋻A40=⋰*⋻2086800","layer":3},{"info":"⋰*⋻1⋓⋰*⋻2086800=⋰*⋻0","layer":2},{"info":"NaN⋷⋰*⋻0=NaN","layer":1},{"info":"↣≠⋷NaN=NaN","layer":0}]}
{"id":314,"expression_no_base_symbol":"($1318$⪢$2301$∼($1568$⨽$1007$)⋳⪒($1284$⨰$1082$⋳⪒($1057$%$3444$)))⪢(($1964$↛⩡⫤)↺$1238$⋓$1459$%$2270$⪛$4167$⋥≓≎($3608$∲⫓$4648$))","expression":"(⋰*⋻A99⪢⋰*⋻1802∼(⋰*⋻11A6⨽⋰*⋻836)⋳⪒(⋰*⋻A68⨰⋰*⋻8A4⋳⪒(⋰*⋻881%⋰*⋻2651)))⪢((⋰*⋻1526↛⩡⫤)↺⋰*⋻A26⋓⋰*⋻1107%⋰*⋻1784⪛⋰*⋻3149⋥≓≎(⋰*⋻2790∲⫓⋰*⋻3546))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":9955,"operation_count":15,"complexity_ratio":663.6666666666666,"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":1318,"base":11},"right_expr":{"type":"numeric_atoms","value":2301,"base":11}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1568,"base":11},"right_expr":{"type":"numeric_atoms","value":1007,"base":11}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1284,"base":11},"right_expr":{"type":"numeric_atoms","value":1082,"base":11}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1057,"base":11},"right_expr":{"type":"numeric_atoms","value":3444,"base":11}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1964,"base":11}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1238,"base":11},"right_expr":{"type":"numeric_atoms","value":1459,"base":11}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2270,"base":11},"right_expr":{"type":"numeric_atoms","value":4167,"base":11}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3608,"base":11},"right_expr":{"type":"numeric_atoms","value":4648,"base":11}}}}},"used_operators":["dWAJyo7jo9","12rbrZMWeM","DyGG3AbaNP","8HhzD0ZcuI","eewbuw0ToL","k8jYdgA6NY","7j4O788W3g","FU0Cs4j7VP","T2fj7uvVaJ","Qy55tPpLXF","uFcxV4UQCh","i8ToyICDmI"],"dependent_operators":["k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1318","layer":4},{"info":"number node, value=2301","layer":4},{"info":"compute binary expreesion, left_input=1318, right_input=2301, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1568","layer":4},{"info":"number node, value=1007","layer":4},{"info":"compute binary expreesion, left_input=1568, right_input=1007, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-7377579","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-7377579, 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=1284","layer":4},{"info":"number node, value=1082","layer":4},{"info":"compute binary expreesion, left_input=1284, right_input=1082, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=212","layer":3},{"info":"number node, value=1057","layer":4},{"info":"number node, value=3444","layer":4},{"info":"compute binary expreesion, left_input=1057, right_input=3444, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1057","layer":3},{"info":"compute binary expreesion, left_input=212, right_input=1057, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-920","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-920, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"number node, value=1964","layer":4},{"info":"compute unary expreesion, input=1964, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-292653","layer":3},{"info":"number node, value=1238","layer":4},{"info":"number node, value=1459","layer":4},{"info":"compute binary expreesion, left_input=1238, right_input=1459, op_id = T2fj7uvVaJ binary_op_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=-292653, 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=2270","layer":4},{"info":"number node, value=4167","layer":4},{"info":"compute binary expreesion, left_input=2270, right_input=4167, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2270","layer":3},{"info":"number node, value=3608","layer":4},{"info":"number node, value=4648","layer":4},{"info":"compute binary expreesion, left_input=3608, right_input=4648, 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=2270, right_input=0, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-2237","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-2237, op_id = k8jYdgA6NY binary_op_definition= 'None', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=0","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻A99⪢⋰*⋻1802∼(⋰*⋻11A6⨽⋰*⋻836)⋳⪒(⋰*⋻A68⨰⋰*⋻8A4⋳⪒(⋰*⋻881%⋰*⋻2651)))⪢((⋰*⋻1526↛⩡⫤)↺⋰*⋻A26⋓⋰*⋻1107%⋰*⋻1784⪛⋰*⋻3149⋥≓≎(⋰*⋻2790∲⫓⋰*⋻3546))=⋰*⋻0","reverse_text":"⋰*⋻0=(⋰*⋻A99⪢⋰*⋻1802∼(⋰*⋻11A6⨽⋰*⋻836)⋳⪒(⋰*⋻A68⨰⋰*⋻8A4⋳⪒(⋰*⋻881%⋰*⋻2651)))⪢((⋰*⋻1526↛⩡⫤)↺⋰*⋻A26⋓⋰*⋻1107%⋰*⋻1784⪛⋰*⋻3149⋥≓≎(⋰*⋻2790∲⫓⋰*⋻3546))","cot":[{"info":"⋰*⋻A99⪢⋰*⋻1802=NaN","layer":3},{"info":"⋰*⋻11A6⨽⋰*⋻836=⋰*⋻-4189980","layer":3},{"info":"NaN∼⋰*⋻-4189980=NaN","layer":2},{"info":"⋰*⋻A68⨰⋰*⋻8A4=⋰*⋻183","layer":3},{"info":"⋰*⋻881%⋰*⋻2651=⋰*⋻881","layer":3},{"info":"⋰*⋻183⋳⪒⋰*⋻881=⋰*⋻-767","layer":2},{"info":"NaN⋳⪒⋰*⋻-767=NaN","layer":1},{"info":"⋰*⋻1526↛⩡⫤=⋰*⋻-18A969","layer":3},{"info":"⋰*⋻A26⋓⋰*⋻1107=⋰*⋻0","layer":3},{"info":"⋰*⋻-18A969↺⋰*⋻0=⋰*⋻0","layer":2},{"info":"⋰*⋻1784⪛⋰*⋻3149=⋰*⋻1784","layer":3},{"info":"⋰*⋻2790∲⫓⋰*⋻3546=⋰*⋻0","layer":3},{"info":"⋰*⋻1784⋥≓≎⋰*⋻0=⋰*⋻-1754","layer":2},{"info":"⋰*⋻0%⋰*⋻-1754=⋰*⋻0","layer":1},{"info":"NaN⪢⋰*⋻0=⋰*⋻0","layer":0}]}
{"id":315,"expression_no_base_symbol":"(($1235$⨓$2457$%$2565$⨳⩥⨓$2618$)⊪)⨸⪁(↽≂$4349$⇷$1784$)≎⊠⪸((≦∁$7513$)/$4096$⊉≛↸$2512$)","expression":"((⋰*⋻A23⨓⋰*⋻1934%⋰*⋻1A22⨳⩥⨓⋰*⋻1A70)⊪)⨸⪁(↽≂⋰*⋻32A4⇷⋰*⋻1382)≎⊠⪸((≦∁⋰*⋻5710)/⋰*⋻3094⊉≛↸⋰*⋻1984)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":63718,"operation_count":11,"complexity_ratio":5792.545454545455,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1235,"base":11},"right_expr":{"type":"numeric_atoms","value":2457,"base":11}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2565,"base":11},"right_expr":{"type":"numeric_atoms","value":2618,"base":11}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4349,"base":11},"right_expr":{"type":"numeric_atoms","value":1784,"base":11}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":7513,"base":11}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4096,"base":11},"right_expr":{"type":"numeric_atoms","value":2512,"base":11}}}}},"used_operators":["g55IO6H4Gj","zVYPLywUTj","k8jYdgA6NY","3ViojmjbAp","nCS4ZIUYfx","bJkvcejdHO","u6S6b8DprG","mp7IySMOzn","XhwjNDsVaA","9ICcGScMcE","DZ8iAZOCBD"],"dependent_operators":["W4YGzv6Whe","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻20A5218","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1235","layer":4},{"info":"number node, value=2457","layer":4},{"info":"compute binary expreesion, left_input=1235, right_input=2457, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2460","layer":3},{"info":"number node, value=2565","layer":4},{"info":"number node, value=2618","layer":4},{"info":"compute binary expreesion, left_input=2565, right_input=2618, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=53","layer":3},{"info":"compute binary expreesion, left_input=-2460, right_input=53, op_id = k8jYdgA6NY binary_op_definition= 'None', output=31","layer":2},{"info":"compute unary expreesion, input=31, 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=4349","layer":4},{"info":"number node, value=1784","layer":4},{"info":"compute binary expreesion, left_input=4349, right_input=1784, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3568","layer":3},{"info":"compute unary expreesion, input=3568, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-7136","layer":2},{"info":"number node, value=7513","layer":4},{"info":"compute unary expreesion, input=7513, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=7513","layer":3},{"info":"number node, value=4096","layer":4},{"info":"number node, value=2512","layer":4},{"info":"compute binary expreesion, left_input=4096, right_input=2512, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=8192","layer":3},{"info":"compute binary expreesion, left_input=7513, right_input=8192, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"info":"compute binary expreesion, left_input=-7136, right_input=0, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1848224","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=1848224, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=3696448","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻A23⨓⋰*⋻1934%⋰*⋻1A22⨳⩥⨓⋰*⋻1A70)⊪)⨸⪁(↽≂⋰*⋻32A4⇷⋰*⋻1382)≎⊠⪸((≦∁⋰*⋻5710)/⋰*⋻3094⊉≛↸⋰*⋻1984)=⋰*⋻20A5218","reverse_text":"⋰*⋻20A5218=((⋰*⋻A23⨓⋰*⋻1934%⋰*⋻1A22⨳⩥⨓⋰*⋻1A70)⊪)⨸⪁(↽≂⋰*⋻32A4⇷⋰*⋻1382)≎⊠⪸((≦∁⋰*⋻5710)/⋰*⋻3094⊉≛↸⋰*⋻1984)","cot":[{"info":"⋰*⋻A23⨓⋰*⋻1934=⋰*⋻-1937","layer":3},{"info":"⋰*⋻1A22⨳⩥⨓⋰*⋻1A70=⋰*⋻49","layer":3},{"info":"⋰*⋻-1937%⋰*⋻49=⋰*⋻29","layer":2},{"info":"⋰*⋻29⊪=⋰*⋻0","layer":1},{"info":"⋰*⋻32A4⇷⋰*⋻1382=⋰*⋻2754","layer":3},{"info":"↽≂⋰*⋻2754=⋰*⋻-53A8","layer":2},{"info":"≦∁⋰*⋻5710=⋰*⋻5710","layer":3},{"info":"⋰*⋻3094⊉≛↸⋰*⋻1984=⋰*⋻6178","layer":3},{"info":"⋰*⋻5710/⋰*⋻6178=⋰*⋻0","layer":2},{"info":"⋰*⋻-53A8≎⊠⪸⋰*⋻0=⋰*⋻1052664","layer":1},{"info":"⋰*⋻0⨸⪁⋰*⋻1052664=⋰*⋻20A5218","layer":0}]}
{"id":316,"expression_no_base_symbol":"((⩦⩻⨪$4360$)⨪↰⇹($5525$⋥≓≎$3809$)∲⫓($2723$≭$6301$⨵⪆(∂$1148$)))⪒((⨈⫕$8007$⋓$7637$)⊘)","expression":"((⩦⩻⨪⋰*⋻3304)⨪↰⇹(⋰*⋻4173⋥≓≎⋰*⋻2953)∲⫓(⋰*⋻2056≭⋰*⋻4809⨵⪆(∂⋰*⋻954)))⪒((⨈⫕⋰*⋻601A⋓⋰*⋻5813)⊘)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4795,"operation_count":11,"complexity_ratio":435.90909090909093,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":4360,"base":11}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":5525,"base":11},"right_expr":{"type":"numeric_atoms","value":3809,"base":11}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2723,"base":11},"right_expr":{"type":"numeric_atoms","value":6301,"base":11}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1148,"base":11}}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":8007,"base":11},"right_expr":{"type":"numeric_atoms","value":7637,"base":11}}}}},"used_operators":["f6k1SAg4EE","i8ToyICDmI","tmPS8pqC7x","2td37pGCOC","Qy55tPpLXF","2DQ55sFlQl","rxpJgHHUmx","Uaa54Peajs","gu96TGCTMs","megm06wKyl","T2fj7uvVaJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⋰*⋻-3304","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4360","layer":4},{"info":"compute unary expreesion, input=4360, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=4360","layer":3},{"info":"number node, value=5525","layer":4},{"info":"number node, value=3809","layer":4},{"info":"compute binary expreesion, left_input=5525, right_input=3809, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2126","layer":3},{"info":"compute binary expreesion, left_input=4360, right_input=2126, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=4360","layer":2},{"info":"number node, value=2723","layer":4},{"info":"number node, value=6301","layer":4},{"info":"compute binary expreesion, left_input=2723, right_input=6301, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=1148","layer":4},{"info":"compute unary expreesion, input=1148, 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 = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=4360, right_input=160, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=4360","layer":1},{"info":"number node, value=8007","layer":4},{"info":"number node, value=7637","layer":4},{"info":"compute binary expreesion, left_input=8007, right_input=7637, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":2},{"info":"compute unary expreesion, input=-21, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=4360, right_input=0, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4360","layer":0}],"base":11,"result_base":11,"text":"((⩦⩻⨪⋰*⋻3304)⨪↰⇹(⋰*⋻4173⋥≓≎⋰*⋻2953)∲⫓(⋰*⋻2056≭⋰*⋻4809⨵⪆(∂⋰*⋻954)))⪒((⨈⫕⋰*⋻601A⋓⋰*⋻5813)⊘)=⋰*⋻-3304","reverse_text":"⋰*⋻-3304=((⩦⩻⨪⋰*⋻3304)⨪↰⇹(⋰*⋻4173⋥≓≎⋰*⋻2953)∲⫓(⋰*⋻2056≭⋰*⋻4809⨵⪆(∂⋰*⋻954)))⪒((⨈⫕⋰*⋻601A⋓⋰*⋻5813)⊘)","cot":[{"info":"⩦⩻⨪⋰*⋻3304=⋰*⋻3304","layer":3},{"info":"⋰*⋻4173⋥≓≎⋰*⋻2953=⋰*⋻1663","layer":3},{"info":"⋰*⋻3304⨪↰⇹⋰*⋻1663=⋰*⋻3304","layer":2},{"info":"⋰*⋻2056≭⋰*⋻4809=NaN","layer":3},{"info":"∂⋰*⋻954=NaN","layer":3},{"info":"NaN⨵⪆NaN=⋰*⋻136","layer":2},{"info":"⋰*⋻3304∲⫓⋰*⋻136=⋰*⋻3304","layer":1},{"info":"⋰*⋻601A⋓⋰*⋻5813=⋰*⋻0","layer":3},{"info":"⨈⫕⋰*⋻0=⋰*⋻-1A","layer":2},{"info":"⋰*⋻-1A⊘=⋰*⋻0","layer":1},{"info":"⋰*⋻3304⪒⋰*⋻0=⋰*⋻-3304","layer":0}]}
{"id":317,"expression_no_base_symbol":"⪝⪂⫅(((⨰⫟⨤$1074$)⊭↱($1283$∲⫓$1338$))↺((↥$1475$)⪠⩆⊳))","expression":"⪝⪂⫅(((⨰⫟⨤⋰*⋻897)⊭↱(⋰*⋻A67∲⫓⋰*⋻1007))↺((↥⋰*⋻1121)⪠⩆⊳))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3504,"operation_count":7,"complexity_ratio":500.57142857142856,"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":1074,"base":11}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1283,"base":11},"right_expr":{"type":"numeric_atoms","value":1338,"base":11}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1475,"base":11}}}}},"used_operators":["XTarYq4gQB","7j4O788W3g","COABgblf1C","Tw270M8GLb","i8ToyICDmI","JLbD19bQDL","A8NUZmVepG"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=1074","layer":4},{"info":"compute unary expreesion, input=1074, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=1283","layer":4},{"info":"number node, value=1338","layer":4},{"info":"compute binary expreesion, left_input=1283, right_input=1338, 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 = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"number node, value=1475","layer":4},{"info":"compute unary expreesion, input=1475, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=47","layer":3},{"info":"compute unary expreesion, input=47, 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 = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=0","layer":0}],"base":11,"result_base":11,"text":"⪝⪂⫅(((⨰⫟⨤⋰*⋻897)⊭↱(⋰*⋻A67∲⫓⋰*⋻1007))↺((↥⋰*⋻1121)⪠⩆⊳))=⋰*⋻0","reverse_text":"⋰*⋻0=⪝⪂⫅(((⨰⫟⨤⋰*⋻897)⊭↱(⋰*⋻A67∲⫓⋰*⋻1007))↺((↥⋰*⋻1121)⪠⩆⊳))","cot":[{"info":"⨰⫟⨤⋰*⋻897=NaN","layer":3},{"info":"⋰*⋻A67∲⫓⋰*⋻1007=⋰*⋻0","layer":3},{"info":"NaN⊭↱⋰*⋻0=NaN","layer":2},{"info":"↥⋰*⋻1121=⋰*⋻43","layer":3},{"info":"⋰*⋻43⪠⩆⊳=⋰*⋻0","layer":2},{"info":"NaN↺⋰*⋻0=⋰*⋻0","layer":1},{"info":"⪝⪂⫅⋰*⋻0=⋰*⋻0","layer":0}]}
{"id":318,"expression_no_base_symbol":"(↔($4596$≋⫹))⊴(($3651$⩤)∲⫓$2734$⋝⋈⪟$1912$)⪛($3816$⨪↰⇹$1351$+⇶⊼($1872$⩚⊴⇥$3814$)⨳⩥⨓($3270$⨸⪁$1021$)+⇶⊼($1325$⨵⪆$4148$))","expression":"(↔(⋰*⋻34A9≋⫹))⊴((⋰*⋻281A⩤)∲⫓⋰*⋻2066⋝⋈⪟⋰*⋻1489)⪛(⋰*⋻295A⨪↰⇹⋰*⋻1019+⇶⊼(⋰*⋻1452⩚⊴⇥⋰*⋻2958)⨳⩥⨓(⋰*⋻2503⨸⪁⋰*⋻849)+⇶⊼(⋰*⋻AA5⨵⪆⋰*⋻3131))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3870,"operation_count":14,"complexity_ratio":276.42857142857144,"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":4596,"base":11}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":3651,"base":11}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2734,"base":11},"right_expr":{"type":"numeric_atoms","value":1912,"base":11}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3816,"base":11},"right_expr":{"type":"numeric_atoms","value":1351,"base":11}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1872,"base":11},"right_expr":{"type":"numeric_atoms","value":3814,"base":11}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3270,"base":11},"right_expr":{"type":"numeric_atoms","value":1021,"base":11}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1325,"base":11},"right_expr":{"type":"numeric_atoms","value":4148,"base":11}}}}},"used_operators":["uFcxV4UQCh","Nsiff2A1zJ","ruOEQAzv1W","N41Kp7NANJ","i8ToyICDmI","Z2TMIBDE3Q","2DDjHMKMc0","nCS4ZIUYfx","TpPTUOHfaN","tmPS8pqC7x","NTOWxs364D","g55IO6H4Gj","2DQ55sFlQl"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","14qkJME0vr","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4596","layer":4},{"info":"compute unary expreesion, input=4596, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-9192","layer":3},{"info":"compute unary expreesion, input=-9192, 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=3651","layer":4},{"info":"compute unary expreesion, input=3651, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-3651","layer":3},{"info":"number node, value=2734","layer":4},{"info":"number node, value=1912","layer":4},{"info":"compute binary expreesion, left_input=2734, right_input=1912, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2734","layer":3},{"info":"compute binary expreesion, left_input=-3651, right_input=2734, 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=-134, right_input=0, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":1},{"info":"number node, value=3816","layer":4},{"info":"number node, value=1351","layer":4},{"info":"compute binary expreesion, left_input=3816, right_input=1351, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3816","layer":3},{"info":"number node, value=1872","layer":4},{"info":"number node, value=3814","layer":4},{"info":"compute binary expreesion, left_input=1872, right_input=3814, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5807","layer":3},{"info":"compute binary expreesion, left_input=3816, right_input=-5807, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=3270","layer":4},{"info":"number node, value=1021","layer":4},{"info":"compute binary expreesion, left_input=3270, right_input=1021, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=8582","layer":3},{"info":"number node, value=1325","layer":4},{"info":"number node, value=4148","layer":4},{"info":"compute binary expreesion, left_input=1325, right_input=4148, 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=8582, right_input=160, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=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=-79, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(↔(⋰*⋻34A9≋⫹))⊴((⋰*⋻281A⩤)∲⫓⋰*⋻2066⋝⋈⪟⋰*⋻1489)⪛(⋰*⋻295A⨪↰⇹⋰*⋻1019+⇶⊼(⋰*⋻1452⩚⊴⇥⋰*⋻2958)⨳⩥⨓(⋰*⋻2503⨸⪁⋰*⋻849)+⇶⊼(⋰*⋻AA5⨵⪆⋰*⋻3131))=NaN","reverse_text":"NaN=(↔(⋰*⋻34A9≋⫹))⊴((⋰*⋻281A⩤)∲⫓⋰*⋻2066⋝⋈⪟⋰*⋻1489)⪛(⋰*⋻295A⨪↰⇹⋰*⋻1019+⇶⊼(⋰*⋻1452⩚⊴⇥⋰*⋻2958)⨳⩥⨓(⋰*⋻2503⨸⪁⋰*⋻849)+⇶⊼(⋰*⋻AA5⨵⪆⋰*⋻3131))","cot":[{"info":"⋰*⋻34A9≋⫹=⋰*⋻-69A7","layer":3},{"info":"↔⋰*⋻-69A7=⋰*⋻-112","layer":2},{"info":"⋰*⋻281A⩤=⋰*⋻-281A","layer":3},{"info":"⋰*⋻2066⋝⋈⪟⋰*⋻1489=⋰*⋻2066","layer":3},{"info":"⋰*⋻-281A∲⫓⋰*⋻2066=⋰*⋻0","layer":2},{"info":"⋰*⋻-112⊴⋰*⋻0=⋰*⋻-72","layer":1},{"info":"⋰*⋻295A⨪↰⇹⋰*⋻1019=⋰*⋻295A","layer":3},{"info":"⋰*⋻1452⩚⊴⇥⋰*⋻2958=⋰*⋻-43AA","layer":3},{"info":"⋰*⋻295A+⇶⊼⋰*⋻-43AA=NaN","layer":2},{"info":"⋰*⋻2503⨸⪁⋰*⋻849=⋰*⋻64A2","layer":3},{"info":"⋰*⋻AA5⨵⪆⋰*⋻3131=⋰*⋻136","layer":3},{"info":"⋰*⋻64A2+⇶⊼⋰*⋻136=NaN","layer":2},{"info":"NaN⨳⩥⨓NaN=NaN","layer":1},{"info":"⋰*⋻-72⪛NaN=NaN","layer":0}]}
{"id":319,"expression_no_base_symbol":"($3025$⇷$7368$⇼⇔∾($7183$+$3185$))⪮%⊝((⨑⩽⪐$4512$)⪘⫢($3215$⫸⊐$4928$))≋⫹","expression":"(⋰*⋻2300⇷⋰*⋻5599⇼⇔∾(⋰*⋻5440+⋰*⋻2436))⪮%⊝((⨑⩽⪐⋰*⋻3432)⪘⫢(⋰*⋻2463⫸⊐⋰*⋻3780))≋⫹","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":42408,"operation_count":8,"complexity_ratio":5301.0,"tree":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3025,"base":11},"right_expr":{"type":"numeric_atoms","value":7368,"base":11}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":7183,"base":11},"right_expr":{"type":"numeric_atoms","value":3185,"base":11}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":4512,"base":11}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3215,"base":11},"right_expr":{"type":"numeric_atoms","value":4928,"base":11}}}}},"used_operators":["N41Kp7NANJ","IWmyXbctLI","tifHPKVTfV","mp7IySMOzn","W4YGzv6Whe","oacrs7FA3X","AF7qkfDlqP","mqXw5SEYmG"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3025","layer":4},{"info":"number node, value=7368","layer":4},{"info":"compute binary expreesion, left_input=3025, right_input=7368, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=14736","layer":3},{"info":"number node, value=7183","layer":4},{"info":"number node, value=3185","layer":4},{"info":"compute binary expreesion, left_input=7183, right_input=3185, op_id = W4YGzv6Whe binary_op_definition= 'None', output=10368","layer":3},{"info":"compute binary expreesion, left_input=14736, right_input=10368, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-4368","layer":2},{"info":"number node, value=4512","layer":4},{"info":"compute unary expreesion, input=4512, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-4239","layer":3},{"info":"number node, value=3215","layer":4},{"info":"number node, value=4928","layer":4},{"info":"compute binary expreesion, left_input=3215, right_input=4928, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=19587","layer":3},{"info":"compute binary expreesion, left_input=-4239, right_input=19587, 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=-4368, right_input=0, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻2300⇷⋰*⋻5599⇼⇔∾(⋰*⋻5440+⋰*⋻2436))⪮%⊝((⨑⩽⪐⋰*⋻3432)⪘⫢(⋰*⋻2463⫸⊐⋰*⋻3780))≋⫹=NaN","reverse_text":"NaN=(⋰*⋻2300⇷⋰*⋻5599⇼⇔∾(⋰*⋻5440+⋰*⋻2436))⪮%⊝((⨑⩽⪐⋰*⋻3432)⪘⫢(⋰*⋻2463⫸⊐⋰*⋻3780))≋⫹","cot":[{"info":"⋰*⋻2300⇷⋰*⋻5599=⋰*⋻10087","layer":3},{"info":"⋰*⋻5440+⋰*⋻2436=⋰*⋻7876","layer":3},{"info":"⋰*⋻10087⇼⇔∾⋰*⋻7876=⋰*⋻-3311","layer":2},{"info":"⨑⩽⪐⋰*⋻3432=⋰*⋻-3204","layer":3},{"info":"⋰*⋻2463⫸⊐⋰*⋻3780=⋰*⋻13797","layer":3},{"info":"⋰*⋻-3204⪘⫢⋰*⋻13797=⋰*⋻0","layer":2},{"info":"⋰*⋻-3311⪮%⊝⋰*⋻0=NaN","layer":1},{"info":"NaN≋⫹=NaN","layer":0}]}
{"id":320,"expression_no_base_symbol":"(($1160$+⇶⊼$5217$%$1475$↬$1921$)⫥∨⫟(⫓⪴$2014$)∀⇚≩($2734$↺$3782$))⩚⊴⇥(($1471$∲⫓$7386$)⪒($1324$⋷$1438$))⇷($2028$⊴$5530$⨰($4229$-$1509$))","expression":"((⋰*⋻965+⇶⊼⋰*⋻3A13%⋰*⋻1121↬⋰*⋻1497)⫥∨⫟(⫓⪴⋰*⋻1571)∀⇚≩(⋰*⋻2066↺⋰*⋻2929))⩚⊴⇥((⋰*⋻1118∲⫓⋰*⋻5605)⪒(⋰*⋻AA4⋷⋰*⋻1098))⇷(⋰*⋻1584⊴⋰*⋻4178⨰(⋰*⋻31A5-⋰*⋻1152))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":29462,"operation_count":15,"complexity_ratio":1964.1333333333334,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1160,"base":11},"right_expr":{"type":"numeric_atoms","value":5217,"base":11}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1475,"base":11},"right_expr":{"type":"numeric_atoms","value":1921,"base":11}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2014,"base":11}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2734,"base":11},"right_expr":{"type":"numeric_atoms","value":3782,"base":11}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1471,"base":11},"right_expr":{"type":"numeric_atoms","value":7386,"base":11}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1324,"base":11},"right_expr":{"type":"numeric_atoms","value":1438,"base":11}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2028,"base":11},"right_expr":{"type":"numeric_atoms","value":5530,"base":11}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4229,"base":11},"right_expr":{"type":"numeric_atoms","value":1509,"base":11}}}}},"used_operators":["NTOWxs364D","KYD54nUTWz","k8jYdgA6NY","TpPTUOHfaN","B5M0gjZbta","LRNGc0VcxI","eLxqMNBOBk","7j4O788W3g","mp7IySMOzn","f6k1SAg4EE","i8ToyICDmI","23Mk6UjR3U","eewbuw0ToL","Nsiff2A1zJ","rysDP5nf3Z"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","AHs5Up7iyr","rGHVDoGpnC","X99M06cbEe","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1160","layer":4},{"info":"number node, value=5217","layer":4},{"info":"compute binary expreesion, left_input=1160, right_input=5217, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=1475","layer":4},{"info":"number node, value=1921","layer":4},{"info":"compute binary expreesion, left_input=1475, right_input=1921, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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":"number node, value=2014","layer":4},{"info":"compute unary expreesion, input=2014, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=4056196","layer":3},{"info":"number node, value=2734","layer":4},{"info":"number node, value=3782","layer":4},{"info":"compute binary expreesion, left_input=2734, right_input=3782, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3782","layer":3},{"info":"compute binary expreesion, left_input=4056196, right_input=3782, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1471","layer":4},{"info":"number node, value=7386","layer":4},{"info":"compute binary expreesion, left_input=1471, right_input=7386, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1324","layer":4},{"info":"number node, value=1438","layer":4},{"info":"compute binary expreesion, left_input=1324, right_input=1438, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1552","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1552, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-1552","layer":2},{"info":"number node, value=2028","layer":4},{"info":"number node, value=5530","layer":4},{"info":"compute binary expreesion, left_input=2028, right_input=5530, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=4229","layer":4},{"info":"number node, value=1509","layer":4},{"info":"compute binary expreesion, left_input=4229, right_input=1509, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2720","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2720, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1552, 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 = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻965+⇶⊼⋰*⋻3A13%⋰*⋻1121↬⋰*⋻1497)⫥∨⫟(⫓⪴⋰*⋻1571)∀⇚≩(⋰*⋻2066↺⋰*⋻2929))⩚⊴⇥((⋰*⋻1118∲⫓⋰*⋻5605)⪒(⋰*⋻AA4⋷⋰*⋻1098))⇷(⋰*⋻1584⊴⋰*⋻4178⨰(⋰*⋻31A5-⋰*⋻1152))=NaN","reverse_text":"NaN=((⋰*⋻965+⇶⊼⋰*⋻3A13%⋰*⋻1121↬⋰*⋻1497)⫥∨⫟(⫓⪴⋰*⋻1571)∀⇚≩(⋰*⋻2066↺⋰*⋻2929))⩚⊴⇥((⋰*⋻1118∲⫓⋰*⋻5605)⪒(⋰*⋻AA4⋷⋰*⋻1098))⇷(⋰*⋻1584⊴⋰*⋻4178⨰(⋰*⋻31A5-⋰*⋻1152))","cot":[{"info":"⋰*⋻965+⇶⊼⋰*⋻3A13=NaN","layer":3},{"info":"⋰*⋻1121↬⋰*⋻1497=NaN","layer":3},{"info":"NaN%NaN=NaN","layer":2},{"info":"⫓⪴⋰*⋻1571=⋰*⋻2320531","layer":3},{"info":"⋰*⋻2066↺⋰*⋻2929=⋰*⋻2929","layer":3},{"info":"⋰*⋻2320531∀⇚≩⋰*⋻2929=NaN","layer":2},{"info":"NaN⫥∨⫟NaN=NaN","layer":1},{"info":"⋰*⋻1118∲⫓⋰*⋻5605=⋰*⋻0","layer":3},{"info":"⋰*⋻AA4⋷⋰*⋻1098=⋰*⋻1191","layer":3},{"info":"⋰*⋻0⪒⋰*⋻1191=⋰*⋻-1191","layer":2},{"info":"⋰*⋻1584⊴⋰*⋻4178=NaN","layer":3},{"info":"⋰*⋻31A5-⋰*⋻1152=⋰*⋻2053","layer":3},{"info":"NaN⨰⋰*⋻2053=NaN","layer":2},{"info":"⋰*⋻-1191⇷NaN=NaN","layer":1},{"info":"NaN⩚⊴⇥NaN=NaN","layer":0}]}
{"id":321,"expression_no_base_symbol":"(⊙↵-((∂$5140$)⋥≓≎$1084$⪛$1538$))⇼⇔∾((≉$4672$)⪒(⊙↵-$1614$))⫸⊐($6983$∑⇟⊟$1547$∲⫓($1828$⨵⪆$7150$))","expression":"(⊙↵-((∂⋰*⋻3953)⋥≓≎⋰*⋻8A6⪛⋰*⋻1179))⇼⇔∾((≉⋰*⋻3568)⪒(⊙↵-⋰*⋻1238))⫸⊐(⋰*⋻5279∑⇟⊟⋰*⋻1187∲⫓(⋰*⋻1412⨵⪆⋰*⋻5410))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1774,"operation_count":12,"complexity_ratio":147.83333333333334,"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":5140,"base":11}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1084,"base":11},"right_expr":{"type":"numeric_atoms","value":1538,"base":11}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":4672,"base":11}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1614,"base":11}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":6983,"base":11},"right_expr":{"type":"numeric_atoms","value":1547,"base":11}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1828,"base":11},"right_expr":{"type":"numeric_atoms","value":7150,"base":11}}}}},"used_operators":["tifHPKVTfV","oWn0xqSxBt","Qy55tPpLXF","Uaa54Peajs","uFcxV4UQCh","mqXw5SEYmG","f6k1SAg4EE","e1ybzncUwg","i8ToyICDmI","U7g4x0WXJJ","2DQ55sFlQl"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd"],"result":"⋰*⋻800","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5140","layer":4},{"info":"compute unary expreesion, input=5140, 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=1084","layer":4},{"info":"number node, value=1538","layer":4},{"info":"compute binary expreesion, left_input=1084, right_input=1538, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1084","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1084, 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 = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":1},{"info":"number node, value=4672","layer":4},{"info":"compute unary expreesion, input=4672, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=5203","layer":3},{"info":"number node, value=1614","layer":4},{"info":"compute unary expreesion, input=1614, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=5203, right_input=-1, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5202","layer":2},{"info":"number node, value=6983","layer":4},{"info":"number node, value=1547","layer":4},{"info":"compute binary expreesion, left_input=6983, right_input=1547, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1828","layer":4},{"info":"number node, value=7150","layer":4},{"info":"compute binary expreesion, left_input=1828, right_input=7150, 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 = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-5202, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=968, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=968","layer":0}],"base":11,"result_base":11,"text":"(⊙↵-((∂⋰*⋻3953)⋥≓≎⋰*⋻8A6⪛⋰*⋻1179))⇼⇔∾((≉⋰*⋻3568)⪒(⊙↵-⋰*⋻1238))⫸⊐(⋰*⋻5279∑⇟⊟⋰*⋻1187∲⫓(⋰*⋻1412⨵⪆⋰*⋻5410))=⋰*⋻800","reverse_text":"⋰*⋻800=(⊙↵-((∂⋰*⋻3953)⋥≓≎⋰*⋻8A6⪛⋰*⋻1179))⇼⇔∾((≉⋰*⋻3568)⪒(⊙↵-⋰*⋻1238))⫸⊐(⋰*⋻5279∑⇟⊟⋰*⋻1187∲⫓(⋰*⋻1412⨵⪆⋰*⋻5410))","cot":[{"info":"∂⋰*⋻3953=NaN","layer":3},{"info":"⋰*⋻8A6⪛⋰*⋻1179=⋰*⋻8A6","layer":3},{"info":"NaN⋥≓≎⋰*⋻8A6=⋰*⋻61","layer":2},{"info":"⊙↵-⋰*⋻61=⋰*⋻0","layer":1},{"info":"≉⋰*⋻3568=⋰*⋻3A00","layer":3},{"info":"⊙↵-⋰*⋻1238=⋰*⋻-1","layer":3},{"info":"⋰*⋻3A00⪒⋰*⋻-1=⋰*⋻-39AA","layer":2},{"info":"⋰*⋻5279∑⇟⊟⋰*⋻1187=NaN","layer":3},{"info":"⋰*⋻1412⨵⪆⋰*⋻5410=⋰*⋻136","layer":3},{"info":"NaN∲⫓⋰*⋻136=NaN","layer":2},{"info":"⋰*⋻-39AA⫸⊐NaN=⋰*⋻800","layer":1},{"info":"⋰*⋻0⇼⇔∾⋰*⋻800=⋰*⋻800","layer":0}]}
{"id":322,"expression_no_base_symbol":"((↽≂$1070$)+⇶⊼($2577$%$7416$))⪢(∂$1075$⪮%⊝$5006$)⋓(⪲⇎($1085$≎⊠⪸$1654$-($1064$≦≮≮)))","expression":"((↽≂⋰*⋻893)+⇶⊼(⋰*⋻1A33%⋰*⋻5632))⪢(∂⋰*⋻898⪮%⊝⋰*⋻3841)⋓(⪲⇎(⋰*⋻8A7≎⊠⪸⋰*⋻1274-(⋰*⋻888≦≮≮)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":305,"operation_count":11,"complexity_ratio":27.727272727272727,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1070,"base":11}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2577,"base":11},"right_expr":{"type":"numeric_atoms","value":7416,"base":11}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1075,"base":11},"right_expr":{"type":"numeric_atoms","value":5006,"base":11}}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1085,"base":11},"right_expr":{"type":"numeric_atoms","value":1654,"base":11}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1064,"base":11}}}}},"used_operators":["T2fj7uvVaJ","dWAJyo7jo9","TpPTUOHfaN","u6S6b8DprG","k8jYdgA6NY","Uaa54Peajs","IWmyXbctLI","XPYlsWDdGa","rysDP5nf3Z","bJkvcejdHO","D4vGDi5EA2"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","k8jYdgA6NY","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1070","layer":4},{"info":"compute unary expreesion, input=1070, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2140","layer":3},{"info":"number node, value=2577","layer":4},{"info":"number node, value=7416","layer":4},{"info":"compute binary expreesion, left_input=2577, right_input=7416, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2577","layer":3},{"info":"compute binary expreesion, left_input=-2140, right_input=2577, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=1075","layer":4},{"info":"number node, value=5006","layer":4},{"info":"compute binary expreesion, left_input=1075, right_input=5006, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2466","layer":3},{"info":"compute unary expreesion, input=2466, 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 = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1085","layer":4},{"info":"number node, value=1654","layer":4},{"info":"compute binary expreesion, left_input=1085, right_input=1654, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=280542","layer":3},{"info":"number node, value=1064","layer":4},{"info":"compute unary expreesion, input=1064, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-3192","layer":3},{"info":"compute binary expreesion, left_input=280542, right_input=-3192, op_id = rysDP5nf3Z binary_op_definition= 'None', output=283734","layer":2},{"info":"compute unary expreesion, input=283734, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=567468","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=567468, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":0}],"base":11,"result_base":11,"text":"((↽≂⋰*⋻893)+⇶⊼(⋰*⋻1A33%⋰*⋻5632))⪢(∂⋰*⋻898⪮%⊝⋰*⋻3841)⋓(⪲⇎(⋰*⋻8A7≎⊠⪸⋰*⋻1274-(⋰*⋻888≦≮≮)))=⋰*⋻0","reverse_text":"⋰*⋻0=((↽≂⋰*⋻893)+⇶⊼(⋰*⋻1A33%⋰*⋻5632))⪢(∂⋰*⋻898⪮%⊝⋰*⋻3841)⋓(⪲⇎(⋰*⋻8A7≎⊠⪸⋰*⋻1274-(⋰*⋻888≦≮≮)))","cot":[{"info":"↽≂⋰*⋻893=⋰*⋻-1676","layer":3},{"info":"⋰*⋻1A33%⋰*⋻5632=⋰*⋻1A33","layer":3},{"info":"⋰*⋻-1676+⇶⊼⋰*⋻1A33=NaN","layer":2},{"info":"⋰*⋻898⪮%⊝⋰*⋻3841=⋰*⋻1942","layer":3},{"info":"∂⋰*⋻1942=NaN","layer":2},{"info":"NaN⪢NaN=NaN","layer":1},{"info":"⋰*⋻8A7≎⊠⪸⋰*⋻1274=⋰*⋻181859","layer":3},{"info":"⋰*⋻888≦≮≮=⋰*⋻-2442","layer":3},{"info":"⋰*⋻181859-⋰*⋻-2442=⋰*⋻1841A0","layer":2},{"info":"⪲⇎⋰*⋻1841A0=⋰*⋻358390","layer":1},{"info":"NaN⋓⋰*⋻358390=⋰*⋻0","layer":0}]}
{"id":323,"expression_no_base_symbol":"((⋗⩬⋾$2208$)⇷($1298$≭$7128$))∼($1041$⫡⨏$1996$)⪢($3210$⨵⪆$6261$)⨽((($1104$⋳⪒$1715$)⪢($1205$+$2910$))∧)","expression":"((⋗⩬⋾⋰*⋻1728)⇷(⋰*⋻A80≭⋰*⋻53A0))∼(⋰*⋻867⫡⨏⋰*⋻1555)⪢(⋰*⋻2459⨵⪆⋰*⋻4782)⨽(((⋰*⋻914⋳⪒⋰*⋻131A)⪢(⋰*⋻9A6+⋰*⋻2206))∧)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":97782,"operation_count":12,"complexity_ratio":8148.5,"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":2208,"base":11}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1298,"base":11},"right_expr":{"type":"numeric_atoms","value":7128,"base":11}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1041,"base":11},"right_expr":{"type":"numeric_atoms","value":1996,"base":11}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3210,"base":11},"right_expr":{"type":"numeric_atoms","value":6261,"base":11}}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1104,"base":11},"right_expr":{"type":"numeric_atoms","value":1715,"base":11}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1205,"base":11},"right_expr":{"type":"numeric_atoms","value":2910,"base":11}}}}},"used_operators":["8HhzD0ZcuI","DyGG3AbaNP","mp7IySMOzn","DpFCA1CohY","rxpJgHHUmx","dWAJyo7jo9","QMFrweE19q","2DQ55sFlQl","z63VuFQld9","12rbrZMWeM","W4YGzv6Whe"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2208","layer":4},{"info":"compute unary expreesion, input=2208, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-6624","layer":3},{"info":"number node, value=1298","layer":4},{"info":"number node, value=7128","layer":4},{"info":"compute binary expreesion, left_input=1298, right_input=7128, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=-6624, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"number node, value=1041","layer":4},{"info":"number node, value=1996","layer":4},{"info":"compute binary expreesion, left_input=1041, right_input=1996, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=9980","layer":3},{"info":"number node, value=3210","layer":4},{"info":"number node, value=6261","layer":4},{"info":"compute binary expreesion, left_input=3210, right_input=6261, 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=9980, right_input=160, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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=1104","layer":4},{"info":"number node, value=1715","layer":4},{"info":"compute binary expreesion, left_input=1104, right_input=1715, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=206","layer":3},{"info":"number node, value=1205","layer":4},{"info":"number node, value=2910","layer":4},{"info":"compute binary expreesion, left_input=1205, right_input=2910, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4115","layer":3},{"info":"compute binary expreesion, left_input=206, right_input=4115, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = 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 = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋗⩬⋾⋰*⋻1728)⇷(⋰*⋻A80≭⋰*⋻53A0))∼(⋰*⋻867⫡⨏⋰*⋻1555)⪢(⋰*⋻2459⨵⪆⋰*⋻4782)⨽(((⋰*⋻914⋳⪒⋰*⋻131A)⪢(⋰*⋻9A6+⋰*⋻2206))∧)=NaN","reverse_text":"NaN=((⋗⩬⋾⋰*⋻1728)⇷(⋰*⋻A80≭⋰*⋻53A0))∼(⋰*⋻867⫡⨏⋰*⋻1555)⪢(⋰*⋻2459⨵⪆⋰*⋻4782)⨽(((⋰*⋻914⋳⪒⋰*⋻131A)⪢(⋰*⋻9A6+⋰*⋻2206))∧)","cot":[{"info":"⋗⩬⋾⋰*⋻1728=⋰*⋻-4A82","layer":3},{"info":"⋰*⋻A80≭⋰*⋻53A0=NaN","layer":3},{"info":"⋰*⋻-4A82⇷NaN=NaN","layer":2},{"info":"⋰*⋻867⫡⨏⋰*⋻1555=⋰*⋻7553","layer":3},{"info":"⋰*⋻2459⨵⪆⋰*⋻4782=⋰*⋻136","layer":3},{"info":"⋰*⋻7553⪢⋰*⋻136=NaN","layer":2},{"info":"NaN∼NaN=NaN","layer":1},{"info":"⋰*⋻914⋳⪒⋰*⋻131A=⋰*⋻178","layer":3},{"info":"⋰*⋻9A6+⋰*⋻2206=⋰*⋻3101","layer":3},{"info":"⋰*⋻178⪢⋰*⋻3101=NaN","layer":2},{"info":"NaN∧=NaN","layer":1},{"info":"NaN⨽NaN=NaN","layer":0}]}
{"id":324,"expression_no_base_symbol":"($1251$⩨$2086$)⋳⪒(↯⪼$1340$)⨎($1203$∑⇟⊟$5908$⩨(↥$1016$))*((∥⊫$2170$)⋝⋈⪟(∥⊫$4752$))↬($2666$⩤)⪘⫢(≤/$5522$)","expression":"(⋰*⋻A38⩨⋰*⋻1627)⋳⪒(↯⪼⋰*⋻1009)⨎(⋰*⋻9A4∑⇟⊟⋰*⋻4491⩨(↥⋰*⋻844))*((∥⊫⋰*⋻16A3)⋝⋈⪟(∥⊫⋰*⋻3630))↬(⋰*⋻2004⩤)⪘⫢(≤/⋰*⋻4170)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":91,"operation_count":15,"complexity_ratio":6.066666666666666,"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":1251,"base":11},"right_expr":{"type":"numeric_atoms","value":2086,"base":11}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1340,"base":11}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1203,"base":11},"right_expr":{"type":"numeric_atoms","value":5908,"base":11}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1016,"base":11}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":2170,"base":11}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":4752,"base":11}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":2666,"base":11}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":5522,"base":11}}}}},"used_operators":["9HNa5Wba9A","rJVOvQCfKK","12rbrZMWeM","2DlMacCsIx","8jW3W4yZS5","U7g4x0WXJJ","A8NUZmVepG","B5M0gjZbta","2DDjHMKMc0","P8v4zCKN1o","oacrs7FA3X","Z2TMIBDE3Q","eLAdDNolq6"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","k8jYdgA6NY","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1251","layer":4},{"info":"number node, value=2086","layer":4},{"info":"compute binary expreesion, left_input=1251, right_input=2086, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=1340","layer":4},{"info":"compute unary expreesion, input=1340, 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=-3, right_input=-21, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-272","layer":2},{"info":"number node, value=1203","layer":4},{"info":"number node, value=5908","layer":4},{"info":"compute binary expreesion, left_input=1203, right_input=5908, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1016","layer":4},{"info":"compute unary expreesion, input=1016, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=47","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=47, 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=-272, 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=2170","layer":4},{"info":"compute unary expreesion, input=2170, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3038","layer":3},{"info":"number node, value=4752","layer":4},{"info":"compute unary expreesion, input=4752, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=5620","layer":3},{"info":"compute binary expreesion, left_input=3038, right_input=5620, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3038","layer":2},{"info":"number node, value=2666","layer":4},{"info":"compute unary expreesion, input=2666, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2666","layer":3},{"info":"number node, value=5522","layer":4},{"info":"compute unary expreesion, input=5522, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-5038","layer":3},{"info":"compute binary expreesion, left_input=-2666, right_input=-5038, 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=3038, right_input=-1, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻A38⩨⋰*⋻1627)⋳⪒(↯⪼⋰*⋻1009)⨎(⋰*⋻9A4∑⇟⊟⋰*⋻4491⩨(↥⋰*⋻844))*((∥⊫⋰*⋻16A3)⋝⋈⪟(∥⊫⋰*⋻3630))↬(⋰*⋻2004⩤)⪘⫢(≤/⋰*⋻4170)=NaN","reverse_text":"NaN=(⋰*⋻A38⩨⋰*⋻1627)⋳⪒(↯⪼⋰*⋻1009)⨎(⋰*⋻9A4∑⇟⊟⋰*⋻4491⩨(↥⋰*⋻844))*((∥⊫⋰*⋻16A3)⋝⋈⪟(∥⊫⋰*⋻3630))↬(⋰*⋻2004⩤)⪘⫢(≤/⋰*⋻4170)","cot":[{"info":"⋰*⋻A38⩨⋰*⋻1627=⋰*⋻-3","layer":3},{"info":"↯⪼⋰*⋻1009=⋰*⋻-1A","layer":3},{"info":"⋰*⋻-3⋳⪒⋰*⋻-1A=⋰*⋻-228","layer":2},{"info":"⋰*⋻9A4∑⇟⊟⋰*⋻4491=NaN","layer":3},{"info":"↥⋰*⋻844=⋰*⋻43","layer":3},{"info":"NaN⩨⋰*⋻43=NaN","layer":2},{"info":"⋰*⋻-228⨎NaN=NaN","layer":1},{"info":"∥⊫⋰*⋻16A3=⋰*⋻2312","layer":3},{"info":"∥⊫⋰*⋻3630=⋰*⋻424A","layer":3},{"info":"⋰*⋻2312⋝⋈⪟⋰*⋻424A=⋰*⋻2312","layer":2},{"info":"⋰*⋻2004⩤=⋰*⋻-2004","layer":3},{"info":"≤/⋰*⋻4170=⋰*⋻-3870","layer":3},{"info":"⋰*⋻-2004⪘⫢⋰*⋻-3870=⋰*⋻-1","layer":2},{"info":"⋰*⋻2312↬⋰*⋻-1=NaN","layer":1},{"info":"NaN*NaN=NaN","layer":0}]}
{"id":325,"expression_no_base_symbol":"((($2088$+$6056$)∲⫓$2802$⪄$2083$)⫩⊇)-(≤/$5114$≹⇙⪍$2851$)⋳⪒((⊙↵-$3131$)⨎($1354$≦≮≮))","expression":"(((⋰*⋻1629+⋰*⋻4606)∲⫓⋰*⋻2118⪄⋰*⋻1624)⫩⊇)-(≤/⋰*⋻392A≹⇙⪍⋰*⋻2162)⋳⪒((⊙↵-⋰*⋻2397)⨎(⋰*⋻1021≦≮≮))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3290,"operation_count":11,"complexity_ratio":299.09090909090907,"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":2088,"base":11},"right_expr":{"type":"numeric_atoms","value":6056,"base":11}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2802,"base":11},"right_expr":{"type":"numeric_atoms","value":2083,"base":11}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5114,"base":11},"right_expr":{"type":"numeric_atoms","value":2851,"base":11}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":3131,"base":11}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1354,"base":11}}}}},"used_operators":["rysDP5nf3Z","BjRHVeLaeN","i8ToyICDmI","W4YGzv6Whe","SUmda5xLS4","12rbrZMWeM","eLAdDNolq6","AHs5Up7iyr","rJVOvQCfKK","oWn0xqSxBt","D4vGDi5EA2"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2088","layer":4},{"info":"number node, value=6056","layer":4},{"info":"compute binary expreesion, left_input=2088, right_input=6056, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8144","layer":3},{"info":"number node, value=2802","layer":4},{"info":"number node, value=2083","layer":4},{"info":"compute binary expreesion, left_input=2802, right_input=2083, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-419117","layer":3},{"info":"compute binary expreesion, left_input=8144, right_input=-419117, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=8144","layer":2},{"info":"compute unary expreesion, input=8144, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-8102","layer":1},{"info":"number node, value=5114","layer":4},{"info":"number node, value=2851","layer":4},{"info":"compute binary expreesion, left_input=5114, right_input=2851, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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":"number node, value=3131","layer":4},{"info":"compute unary expreesion, input=3131, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=1354","layer":4},{"info":"compute unary expreesion, input=1354, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-4062","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=-4062, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-4062","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-4062, 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=-8102, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻1629+⋰*⋻4606)∲⫓⋰*⋻2118⪄⋰*⋻1624)⫩⊇)-(≤/⋰*⋻392A≹⇙⪍⋰*⋻2162)⋳⪒((⊙↵-⋰*⋻2397)⨎(⋰*⋻1021≦≮≮))=NaN","reverse_text":"NaN=(((⋰*⋻1629+⋰*⋻4606)∲⫓⋰*⋻2118⪄⋰*⋻1624)⫩⊇)-(≤/⋰*⋻392A≹⇙⪍⋰*⋻2162)⋳⪒((⊙↵-⋰*⋻2397)⨎(⋰*⋻1021≦≮≮))","cot":[{"info":"⋰*⋻1629+⋰*⋻4606=⋰*⋻6134","layer":3},{"info":"⋰*⋻2118⪄⋰*⋻1624=⋰*⋻-266986","layer":3},{"info":"⋰*⋻6134∲⫓⋰*⋻-266986=⋰*⋻6134","layer":2},{"info":"⋰*⋻6134⫩⊇=⋰*⋻-60A6","layer":1},{"info":"⋰*⋻392A≹⇙⪍⋰*⋻2162=NaN","layer":3},{"info":"≤/NaN=NaN","layer":2},{"info":"⊙↵-⋰*⋻2397=⋰*⋻-1","layer":3},{"info":"⋰*⋻1021≦≮≮=⋰*⋻-3063","layer":3},{"info":"⋰*⋻-1⨎⋰*⋻-3063=⋰*⋻-3063","layer":2},{"info":"NaN⋳⪒⋰*⋻-3063=NaN","layer":1},{"info":"⋰*⋻-60A6-NaN=NaN","layer":0}]}
{"id":326,"expression_no_base_symbol":"(∥⊫($4719$⋷$1432$)↙($1065$≣⋋))⨟⋌⩍(-$1535$∀⇚≩$1402$⩨($2712$/$1566$))","expression":"(∥⊫(⋰*⋻3600⋷⋰*⋻1092)↙(⋰*⋻889≣⋋))⨟⋌⩍(-⋰*⋻1176∀⇚≩⋰*⋻1065⩨(⋰*⋻2046/⋰*⋻11A4))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":11273,"operation_count":9,"complexity_ratio":1252.5555555555557,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":4719,"base":11},"right_expr":{"type":"numeric_atoms","value":1432,"base":11}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":1065,"base":11}}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1535,"base":11},"right_expr":{"type":"numeric_atoms","value":1402,"base":11}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2712,"base":11},"right_expr":{"type":"numeric_atoms","value":1566,"base":11}}}}},"used_operators":["rGHVDoGpnC","P8v4zCKN1o","yyfyN0ffXY","23Mk6UjR3U","Tcnh7f0tEr","t8gj7n24qd","2DlMacCsIx","LRNGc0VcxI","XhwjNDsVaA"],"dependent_operators":["Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","X99M06cbEe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4719","layer":4},{"info":"number node, value=1432","layer":4},{"info":"compute binary expreesion, left_input=4719, right_input=1432, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-1855","layer":3},{"info":"number node, value=1065","layer":4},{"info":"compute unary expreesion, input=1065, 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=-1855, right_input=0, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-1855","layer":2},{"info":"compute unary expreesion, input=-1855, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=-55","layer":1},{"info":"number node, value=1535","layer":4},{"info":"number node, value=1402","layer":4},{"info":"compute binary expreesion, left_input=1535, right_input=1402, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=2712","layer":4},{"info":"number node, value=1566","layer":4},{"info":"compute binary expreesion, left_input=2712, right_input=1566, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"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":2},{"info":"compute unary expreesion, input=nan, op_id = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-55, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"(∥⊫(⋰*⋻3600⋷⋰*⋻1092)↙(⋰*⋻889≣⋋))⨟⋌⩍(-⋰*⋻1176∀⇚≩⋰*⋻1065⩨(⋰*⋻2046/⋰*⋻11A4))=NaN","reverse_text":"NaN=(∥⊫(⋰*⋻3600⋷⋰*⋻1092)↙(⋰*⋻889≣⋋))⨟⋌⩍(-⋰*⋻1176∀⇚≩⋰*⋻1065⩨(⋰*⋻2046/⋰*⋻11A4))","cot":[{"info":"⋰*⋻3600⋷⋰*⋻1092=⋰*⋻-1437","layer":3},{"info":"⋰*⋻889≣⋋=⋰*⋻0","layer":3},{"info":"⋰*⋻-1437↙⋰*⋻0=⋰*⋻-1437","layer":2},{"info":"∥⊫⋰*⋻-1437=⋰*⋻-50","layer":1},{"info":"⋰*⋻1176∀⇚≩⋰*⋻1065=NaN","layer":3},{"info":"⋰*⋻2046/⋰*⋻11A4=⋰*⋻1","layer":3},{"info":"NaN⩨⋰*⋻1=NaN","layer":2},{"info":"-NaN=NaN","layer":1},{"info":"⋰*⋻-50⨟⋌⩍NaN=NaN","layer":0}]}
{"id":327,"expression_no_base_symbol":"$6448$⪢$6798$∀⇚≩$5669$⪢$1429$⋝⋈⪟($3496$⨪↰⇹$3618$)∀⇚≩($4042$%$7058$)↛⩡⫤","expression":"⋰*⋻4932⪢⋰*⋻5120∀⇚≩⋰*⋻4294⪢⋰*⋻108A⋝⋈⪟(⋰*⋻2699⨪↰⇹⋰*⋻279A)∀⇚≩(⋰*⋻3045%⋰*⋻5337)↛⩡⫤","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":43007,"operation_count":8,"complexity_ratio":5375.875,"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":6448,"base":11},"right_expr":{"type":"numeric_atoms","value":6798,"base":11}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":5669,"base":11},"right_expr":{"type":"numeric_atoms","value":1429,"base":11}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3496,"base":11},"right_expr":{"type":"numeric_atoms","value":3618,"base":11}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4042,"base":11},"right_expr":{"type":"numeric_atoms","value":7058,"base":11}}}}},"used_operators":["FU0Cs4j7VP","2DDjHMKMc0","LRNGc0VcxI","dWAJyo7jo9","tmPS8pqC7x","k8jYdgA6NY"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","k8jYdgA6NY","rJVOvQCfKK","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=6448","layer":4},{"info":"number node, value=6798","layer":4},{"info":"compute binary expreesion, left_input=6448, right_input=6798, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=5669","layer":4},{"info":"number node, value=1429","layer":4},{"info":"compute binary expreesion, left_input=5669, 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=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=3496","layer":4},{"info":"number node, value=3618","layer":4},{"info":"compute binary expreesion, left_input=3496, right_input=3618, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3496","layer":3},{"info":"number node, value=4042","layer":4},{"info":"number node, value=7058","layer":4},{"info":"compute binary expreesion, left_input=4042, right_input=7058, op_id = k8jYdgA6NY binary_op_definition= 'None', output=4042","layer":3},{"info":"compute binary expreesion, left_input=3496, right_input=4042, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⋰*⋻4932⪢⋰*⋻5120∀⇚≩⋰*⋻4294⪢⋰*⋻108A⋝⋈⪟(⋰*⋻2699⨪↰⇹⋰*⋻279A)∀⇚≩(⋰*⋻3045%⋰*⋻5337)↛⩡⫤=NaN","reverse_text":"NaN=⋰*⋻4932⪢⋰*⋻5120∀⇚≩⋰*⋻4294⪢⋰*⋻108A⋝⋈⪟(⋰*⋻2699⨪↰⇹⋰*⋻279A)∀⇚≩(⋰*⋻3045%⋰*⋻5337)↛⩡⫤","cot":[{"info":"⋰*⋻4932⪢⋰*⋻5120=NaN","layer":3},{"info":"⋰*⋻4294⪢⋰*⋻108A=NaN","layer":3},{"info":"NaN∀⇚≩NaN=NaN","layer":2},{"info":"⋰*⋻2699⨪↰⇹⋰*⋻279A=⋰*⋻2699","layer":3},{"info":"⋰*⋻3045%⋰*⋻5337=⋰*⋻3045","layer":3},{"info":"⋰*⋻2699∀⇚≩⋰*⋻3045=NaN","layer":2},{"info":"NaN⋝⋈⪟NaN=NaN","layer":1},{"info":"NaN↛⩡⫤=NaN","layer":0}]}
{"id":328,"expression_no_base_symbol":"($1266$⩠)⊴($6724$⋝⋈⪟$1097$)∑⇟⊟($6537$⨟⋌⩍$1924$⪒(⨰⫟⨤$4071$))⩤","expression":"(⋰*⋻A51⩠)⊴(⋰*⋻5063⋝⋈⪟⋰*⋻908)∑⇟⊟(⋰*⋻4A03⨟⋌⩍⋰*⋻149A⪒(⨰⫟⨤⋰*⋻3071))⩤","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":22201,"operation_count":8,"complexity_ratio":2775.125,"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":1266,"base":11}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":6724,"base":11},"right_expr":{"type":"numeric_atoms","value":1097,"base":11}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":6537,"base":11},"right_expr":{"type":"numeric_atoms","value":1924,"base":11}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":4071,"base":11}}}}},"used_operators":["Z2TMIBDE3Q","U7g4x0WXJJ","Nsiff2A1zJ","sJAwomhLZr","2DDjHMKMc0","f6k1SAg4EE","rGHVDoGpnC","Tw270M8GLb"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","dWAJyo7jo9","14qkJME0vr","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=1266","layer":4},{"info":"compute unary expreesion, input=1266, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=6724","layer":4},{"info":"number node, value=1097","layer":4},{"info":"compute binary expreesion, left_input=6724, right_input=1097, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6724","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=6724, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=6537","layer":4},{"info":"number node, value=1924","layer":4},{"info":"compute binary expreesion, left_input=6537, right_input=1924, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=4071","layer":4},{"info":"compute unary expreesion, input=4071, 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 = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻A51⩠)⊴(⋰*⋻5063⋝⋈⪟⋰*⋻908)∑⇟⊟(⋰*⋻4A03⨟⋌⩍⋰*⋻149A⪒(⨰⫟⨤⋰*⋻3071))⩤=NaN","reverse_text":"NaN=(⋰*⋻A51⩠)⊴(⋰*⋻5063⋝⋈⪟⋰*⋻908)∑⇟⊟(⋰*⋻4A03⨟⋌⩍⋰*⋻149A⪒(⨰⫟⨤⋰*⋻3071))⩤","cot":[{"info":"⋰*⋻A51⩠=⋰*⋻0","layer":3},{"info":"⋰*⋻5063⋝⋈⪟⋰*⋻908=⋰*⋻5063","layer":3},{"info":"⋰*⋻0⊴⋰*⋻5063=NaN","layer":2},{"info":"⋰*⋻4A03⨟⋌⩍⋰*⋻149A=NaN","layer":3},{"info":"⨰⫟⨤⋰*⋻3071=NaN","layer":3},{"info":"NaN⪒NaN=NaN","layer":2},{"info":"NaN∑⇟⊟NaN=NaN","layer":1},{"info":"NaN⩤=NaN","layer":0}]}
{"id":329,"expression_no_base_symbol":"(($3011$⨟⋌⩍$1115$/(⨑⩽⪐$6591$))⨁⊸⫻)⋓(($4611$⋥≓≎$1826$)⫥∨⫟(↥$8783$))⨟⋌⩍(⨞⊢$3074$)⨟⋌⩍($8778$⩨$4691$)","expression":"((⋰*⋻2298⨟⋌⩍⋰*⋻924/(⨑⩽⪐⋰*⋻4A52))⨁⊸⫻)⋓((⋰*⋻3512⋥≓≎⋰*⋻1410)⫥∨⫟(↥⋰*⋻6665))⨟⋌⩍(⨞⊢⋰*⋻2345)⨟⋌⩍(⋰*⋻6660⩨⋰*⋻3585)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":358,"operation_count":12,"complexity_ratio":29.833333333333332,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3011,"base":11},"right_expr":{"type":"numeric_atoms","value":1115,"base":11}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":6591,"base":11}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4611,"base":11},"right_expr":{"type":"numeric_atoms","value":1826,"base":11}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":8783,"base":11}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":3074,"base":11}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":8778,"base":11},"right_expr":{"type":"numeric_atoms","value":4691,"base":11}}}}},"used_operators":["T2fj7uvVaJ","glklzrTFfD","XhwjNDsVaA","rGHVDoGpnC","AF7qkfDlqP","KYD54nUTWz","Qy55tPpLXF","A8NUZmVepG","xUOZtlo3hN","2DlMacCsIx"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3011","layer":4},{"info":"number node, value=1115","layer":4},{"info":"compute binary expreesion, left_input=3011, right_input=1115, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=6591","layer":4},{"info":"compute unary expreesion, input=6591, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-6318","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6318, op_id = XhwjNDsVaA binary_op_definition= 'None', 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=4611","layer":4},{"info":"number node, value=1826","layer":4},{"info":"compute binary expreesion, left_input=4611, right_input=1826, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-926","layer":3},{"info":"number node, value=8783","layer":4},{"info":"compute unary expreesion, input=8783, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=11","layer":3},{"info":"compute binary expreesion, left_input=-926, right_input=11, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=3074","layer":4},{"info":"compute unary expreesion, input=3074, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-3248","layer":3},{"info":"number node, value=8778","layer":4},{"info":"number node, value=4691","layer":4},{"info":"compute binary expreesion, left_input=8778, right_input=4691, 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=-3248, 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=-3248","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3248, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = T2fj7uvVaJ 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":11,"result_base":11,"text":"((⋰*⋻2298⨟⋌⩍⋰*⋻924/(⨑⩽⪐⋰*⋻4A52))⨁⊸⫻)⋓((⋰*⋻3512⋥≓≎⋰*⋻1410)⫥∨⫟(↥⋰*⋻6665))⨟⋌⩍(⨞⊢⋰*⋻2345)⨟⋌⩍(⋰*⋻6660⩨⋰*⋻3585)=NaN","reverse_text":"NaN=((⋰*⋻2298⨟⋌⩍⋰*⋻924/(⨑⩽⪐⋰*⋻4A52))⨁⊸⫻)⋓((⋰*⋻3512⋥≓≎⋰*⋻1410)⫥∨⫟(↥⋰*⋻6665))⨟⋌⩍(⨞⊢⋰*⋻2345)⨟⋌⩍(⋰*⋻6660⩨⋰*⋻3585)","cot":[{"info":"⋰*⋻2298⨟⋌⩍⋰*⋻924=NaN","layer":3},{"info":"⨑⩽⪐⋰*⋻4A52=⋰*⋻-4824","layer":3},{"info":"NaN/⋰*⋻-4824=NaN","layer":2},{"info":"NaN⨁⊸⫻=NaN","layer":1},{"info":"⋰*⋻3512⋥≓≎⋰*⋻1410=⋰*⋻-772","layer":3},{"info":"↥⋰*⋻6665=⋰*⋻10","layer":3},{"info":"⋰*⋻-772⫥∨⫟⋰*⋻10=NaN","layer":2},{"info":"⨞⊢⋰*⋻2345=⋰*⋻-2493","layer":3},{"info":"⋰*⋻6660⩨⋰*⋻3585=⋰*⋻0","layer":3},{"info":"⋰*⋻-2493⨟⋌⩍⋰*⋻0=⋰*⋻-2493","layer":2},{"info":"NaN⨟⋌⩍⋰*⋻-2493=NaN","layer":1},{"info":"NaN⋓NaN=NaN","layer":0}]}
{"id":330,"expression_no_base_symbol":"($1885$⫸⊐$7192$/$2796$⇷$5181$)↬((∂$2040$)⨰(⊥$1451$))⪒(∂$8786$)⨟⋌⩍(⊄⩳↩$5596$)⪘⫢(↣≠⋷$6245$)≹⇙⪍($1928$≭$2251$)","expression":"(⋰*⋻1464⫸⊐⋰*⋻5449/⋰*⋻2112⇷⋰*⋻3990)↬((∂⋰*⋻1595)⨰(⊥⋰*⋻10AA))⪒(∂⋰*⋻6668)⨟⋌⩍(⊄⩳↩⋰*⋻4228)⪘⫢(↣≠⋷⋰*⋻4768)≹⇙⪍(⋰*⋻14A3≭⋰*⋻1767)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":39208,"operation_count":15,"complexity_ratio":2613.866666666667,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1885,"base":11},"right_expr":{"type":"numeric_atoms","value":7192,"base":11}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2796,"base":11},"right_expr":{"type":"numeric_atoms","value":5181,"base":11}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2040,"base":11}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1451,"base":11}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":8786,"base":11}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":5596,"base":11}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":6245,"base":11}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1928,"base":11},"right_expr":{"type":"numeric_atoms","value":2251,"base":11}}}}},"used_operators":["f6k1SAg4EE","B5M0gjZbta","XhwjNDsVaA","mqXw5SEYmG","mp7IySMOzn","eewbuw0ToL","Uaa54Peajs","Q3PJZHRvZv","oacrs7FA3X","rGHVDoGpnC","8w2t5hMYqp","AHs5Up7iyr","Asc51vEJeQ","rxpJgHHUmx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","fu6greOZ01","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","AHs5Up7iyr","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1885","layer":4},{"info":"number node, value=7192","layer":4},{"info":"compute binary expreesion, left_input=1885, right_input=7192, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=28643","layer":3},{"info":"number node, value=2796","layer":4},{"info":"number node, value=5181","layer":4},{"info":"compute binary expreesion, left_input=2796, right_input=5181, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=10362","layer":3},{"info":"compute binary expreesion, left_input=28643, right_input=10362, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":2},{"info":"number node, value=2040","layer":4},{"info":"compute unary expreesion, input=2040, 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=1451","layer":4},{"info":"compute unary expreesion, input=1451, 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 = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2, 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=8786","layer":4},{"info":"compute unary expreesion, input=8786, 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=5596","layer":4},{"info":"compute unary expreesion, input=5596, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-16788","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-16788, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=6245","layer":4},{"info":"compute unary expreesion, input=6245, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=1928","layer":4},{"info":"number node, value=2251","layer":4},{"info":"compute binary expreesion, left_input=1928, right_input=2251, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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 = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = 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 = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1464⫸⊐⋰*⋻5449/⋰*⋻2112⇷⋰*⋻3990)↬((∂⋰*⋻1595)⨰(⊥⋰*⋻10AA))⪒(∂⋰*⋻6668)⨟⋌⩍(⊄⩳↩⋰*⋻4228)⪘⫢(↣≠⋷⋰*⋻4768)≹⇙⪍(⋰*⋻14A3≭⋰*⋻1767)=NaN","reverse_text":"NaN=(⋰*⋻1464⫸⊐⋰*⋻5449/⋰*⋻2112⇷⋰*⋻3990)↬((∂⋰*⋻1595)⨰(⊥⋰*⋻10AA))⪒(∂⋰*⋻6668)⨟⋌⩍(⊄⩳↩⋰*⋻4228)⪘⫢(↣≠⋷⋰*⋻4768)≹⇙⪍(⋰*⋻14A3≭⋰*⋻1767)","cot":[{"info":"⋰*⋻1464⫸⊐⋰*⋻5449=⋰*⋻1A57A","layer":3},{"info":"⋰*⋻2112⇷⋰*⋻3990=⋰*⋻7870","layer":3},{"info":"⋰*⋻1A57A/⋰*⋻7870=⋰*⋻2","layer":2},{"info":"∂⋰*⋻1595=NaN","layer":3},{"info":"⊥⋰*⋻10AA=NaN","layer":3},{"info":"NaN⨰NaN=NaN","layer":2},{"info":"⋰*⋻2↬NaN=NaN","layer":1},{"info":"∂⋰*⋻6668=NaN","layer":3},{"info":"⊄⩳↩⋰*⋻4228=⋰*⋻-11682","layer":3},{"info":"NaN⨟⋌⩍⋰*⋻-11682=NaN","layer":2},{"info":"↣≠⋷⋰*⋻4768=NaN","layer":3},{"info":"⋰*⋻14A3≭⋰*⋻1767=NaN","layer":3},{"info":"NaN≹⇙⪍NaN=NaN","layer":2},{"info":"NaN⪘⫢NaN=NaN","layer":1},{"info":"NaN⪒NaN=NaN","layer":0}]}
{"id":331,"expression_no_base_symbol":"(∂($1267$⋓$3981$↛⩡⫤))⊭↱((⪲⇎$5215$)⨽$1353$⪘⫢$1459$+($1236$⊦⊿)⊴($5310$⋳⪒$1569$))","expression":"(∂(⋰*⋻A52⋓⋰*⋻2A9A↛⩡⫤))⊭↱((⪲⇎⋰*⋻3A11)⨽⋰*⋻1020⪘⫢⋰*⋻1107+(⋰*⋻A24⊦⊿)⊴(⋰*⋻3A98⋳⪒⋰*⋻11A7))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":21047,"operation_count":11,"complexity_ratio":1913.3636363636363,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1267,"base":11},"right_expr":{"type":"numeric_atoms","value":3981,"base":11}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":5215,"base":11}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1353,"base":11},"right_expr":{"type":"numeric_atoms","value":1459,"base":11}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1236,"base":11}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":5310,"base":11},"right_expr":{"type":"numeric_atoms","value":1569,"base":11}}}}},"used_operators":["COABgblf1C","Uaa54Peajs","FU0Cs4j7VP","T2fj7uvVaJ","W4YGzv6Whe","8HhzD0ZcuI","XPYlsWDdGa","oacrs7FA3X","Nsiff2A1zJ","14qkJME0vr","12rbrZMWeM"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1267","layer":4},{"info":"number node, value=3981","layer":4},{"info":"compute binary expreesion, left_input=1267, right_input=3981, op_id = T2fj7uvVaJ binary_op_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":"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=5215","layer":4},{"info":"compute unary expreesion, input=5215, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=10430","layer":3},{"info":"number node, value=1353","layer":4},{"info":"number node, value=1459","layer":4},{"info":"compute binary expreesion, left_input=1353, right_input=1459, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2582","layer":3},{"info":"compute binary expreesion, left_input=10430, right_input=2582, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-326361132","layer":2},{"info":"number node, value=1236","layer":4},{"info":"compute unary expreesion, input=1236, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-3787","layer":3},{"info":"number node, value=5310","layer":4},{"info":"number node, value=1569","layer":4},{"info":"compute binary expreesion, left_input=5310, right_input=1569, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=8764","layer":3},{"info":"compute binary expreesion, left_input=-3787, right_input=8764, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-326361132, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-264, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(∂(⋰*⋻A52⋓⋰*⋻2A9A↛⩡⫤))⊭↱((⪲⇎⋰*⋻3A11)⨽⋰*⋻1020⪘⫢⋰*⋻1107+(⋰*⋻A24⊦⊿)⊴(⋰*⋻3A98⋳⪒⋰*⋻11A7))=NaN","reverse_text":"NaN=(∂(⋰*⋻A52⋓⋰*⋻2A9A↛⩡⫤))⊭↱((⪲⇎⋰*⋻3A11)⨽⋰*⋻1020⪘⫢⋰*⋻1107+(⋰*⋻A24⊦⊿)⊴(⋰*⋻3A98⋳⪒⋰*⋻11A7))","cot":[{"info":"⋰*⋻A52⋓⋰*⋻2A9A=⋰*⋻0","layer":3},{"info":"⋰*⋻0↛⩡⫤=⋰*⋻0","layer":2},{"info":"∂⋰*⋻0=⋰*⋻-220","layer":1},{"info":"⪲⇎⋰*⋻3A11=⋰*⋻7922","layer":3},{"info":"⋰*⋻1020⪘⫢⋰*⋻1107=⋰*⋻1A38","layer":3},{"info":"⋰*⋻7922⨽⋰*⋻1A38=⋰*⋻-158249A49","layer":2},{"info":"⋰*⋻A24⊦⊿=⋰*⋻-2933","layer":3},{"info":"⋰*⋻3A98⋳⪒⋰*⋻11A7=⋰*⋻6648","layer":3},{"info":"⋰*⋻-2933⊴⋰*⋻6648=NaN","layer":2},{"info":"⋰*⋻-158249A49+NaN=NaN","layer":1},{"info":"⋰*⋻-220⊭↱NaN=NaN","layer":0}]}
{"id":332,"expression_no_base_symbol":"⨈⫕(($3066$⪒$4522$)⊪)⨐⩸⫘($1322$∀⇚≩$1100$∲⫓$1253$⊉≛↸$2010$)","expression":"⨈⫕((⋰*⋻2338⪒⋰*⋻3441)⊪)⨐⩸⫘(⋰*⋻AA2∀⇚≩⋰*⋻910∲⫓⋰*⋻A3A⊉≛↸⋰*⋻1568)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":32429,"operation_count":7,"complexity_ratio":4632.714285714285,"tree":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3066,"base":11},"right_expr":{"type":"numeric_atoms","value":4522,"base":11}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1322,"base":11},"right_expr":{"type":"numeric_atoms","value":1100,"base":11}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1253,"base":11},"right_expr":{"type":"numeric_atoms","value":2010,"base":11}}}}},"used_operators":["megm06wKyl","fu6greOZ01","zVYPLywUTj","f6k1SAg4EE","i8ToyICDmI","LRNGc0VcxI","DZ8iAZOCBD"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","3ViojmjbAp","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻-1A","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3066","layer":4},{"info":"number node, value=4522","layer":4},{"info":"compute binary expreesion, left_input=3066, right_input=4522, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7588","layer":3},{"info":"compute unary expreesion, input=-7588, 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=576658070","layer":2},{"info":"number node, value=1322","layer":4},{"info":"number node, value=1100","layer":4},{"info":"compute binary expreesion, left_input=1322, 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":"number node, value=1253","layer":4},{"info":"number node, value=2010","layer":4},{"info":"compute binary expreesion, left_input=1253, right_input=2010, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2506","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2506, 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=576658070, 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=576658070","layer":1},{"info":"compute unary expreesion, input=576658070, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":0}],"base":11,"result_base":11,"text":"⨈⫕((⋰*⋻2338⪒⋰*⋻3441)⊪)⨐⩸⫘(⋰*⋻AA2∀⇚≩⋰*⋻910∲⫓⋰*⋻A3A⊉≛↸⋰*⋻1568)=⋰*⋻-1A","reverse_text":"⋰*⋻-1A=⨈⫕((⋰*⋻2338⪒⋰*⋻3441)⊪)⨐⩸⫘(⋰*⋻AA2∀⇚≩⋰*⋻910∲⫓⋰*⋻A3A⊉≛↸⋰*⋻1568)","cot":[{"info":"⋰*⋻2338⪒⋰*⋻3441=⋰*⋻-5779","layer":3},{"info":"⋰*⋻-5779⊪=⋰*⋻27656581A","layer":2},{"info":"⋰*⋻AA2∀⇚≩⋰*⋻910=NaN","layer":3},{"info":"⋰*⋻A3A⊉≛↸⋰*⋻1568=⋰*⋻1979","layer":3},{"info":"NaN∲⫓⋰*⋻1979=⋰*⋻0","layer":2},{"info":"⋰*⋻27656581A⨐⩸⫘⋰*⋻0=⋰*⋻27656581A","layer":1},{"info":"⨈⫕⋰*⋻27656581A=⋰*⋻-1A","layer":0}]}
{"id":333,"expression_no_base_symbol":"≦∁($2464$⪢$1308$+⇶⊼($2753$*$5236$))⪮%⊝((↥$1431$)⊪)","expression":"≦∁(⋰*⋻1940⪢⋰*⋻A8A+⇶⊼(⋰*⋻2083*⋰*⋻3A30))⪮%⊝((↥⋰*⋻1091)⊪)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4207,"operation_count":7,"complexity_ratio":601.0,"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":2464,"base":11},"right_expr":{"type":"numeric_atoms","value":1308,"base":11}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2753,"base":11},"right_expr":{"type":"numeric_atoms","value":5236,"base":11}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1431,"base":11}}}}},"used_operators":["9ICcGScMcE","IWmyXbctLI","TpPTUOHfaN","dWAJyo7jo9","9HNa5Wba9A","zVYPLywUTj","A8NUZmVepG"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","AHs5Up7iyr","k8jYdgA6NY","W4YGzv6Whe","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2464","layer":4},{"info":"number node, value=1308","layer":4},{"info":"compute binary expreesion, left_input=2464, right_input=1308, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=2753","layer":4},{"info":"number node, value=5236","layer":4},{"info":"compute binary expreesion, left_input=2753, right_input=5236, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=14414708","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=14414708, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=1431","layer":4},{"info":"compute unary expreesion, input=1431, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=3","layer":3},{"info":"compute unary expreesion, input=3, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 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":11,"result_base":11,"text":"≦∁(⋰*⋻1940⪢⋰*⋻A8A+⇶⊼(⋰*⋻2083*⋰*⋻3A30))⪮%⊝((↥⋰*⋻1091)⊪)=NaN","reverse_text":"NaN=≦∁(⋰*⋻1940⪢⋰*⋻A8A+⇶⊼(⋰*⋻2083*⋰*⋻3A30))⪮%⊝((↥⋰*⋻1091)⊪)","cot":[{"info":"⋰*⋻1940⪢⋰*⋻A8A=NaN","layer":3},{"info":"⋰*⋻2083*⋰*⋻3A30=⋰*⋻8155A90","layer":3},{"info":"NaN+⇶⊼⋰*⋻8155A90=NaN","layer":2},{"info":"↥⋰*⋻1091=⋰*⋻3","layer":3},{"info":"⋰*⋻3⊪=⋰*⋻0","layer":2},{"info":"NaN⪮%⊝⋰*⋻0=NaN","layer":1},{"info":"≦∁NaN=NaN","layer":0}]}
{"id":334,"expression_no_base_symbol":"(+⊝⨔(-$7908$))⨎(($1009$⊭↱$6366$)↙(⫛⫱⨽$1814$))⫡⨏($2619$⨳⩥⨓$4483$)⨓($4482$⨰$3701$)⫸⊐($1241$⪢$1403$⫡⨏($2966$+$1773$))","expression":"(+⊝⨔(-⋰*⋻5A3A))⨎((⋰*⋻838⊭↱⋰*⋻4868)↙(⫛⫱⨽⋰*⋻13AA))⫡⨏(⋰*⋻1A71⨳⩥⨓⋰*⋻3406)⨓(⋰*⋻3405⨰⋰*⋻2865)⫸⊐(⋰*⋻A29⪢⋰*⋻1066⫡⨏(⋰*⋻2257+⋰*⋻1372))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":3682,"operation_count":14,"complexity_ratio":263.0,"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":7908,"base":11}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1009,"base":11},"right_expr":{"type":"numeric_atoms","value":6366,"base":11}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1814,"base":11}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2619,"base":11},"right_expr":{"type":"numeric_atoms","value":4483,"base":11}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4482,"base":11},"right_expr":{"type":"numeric_atoms","value":3701,"base":11}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1241,"base":11},"right_expr":{"type":"numeric_atoms","value":1403,"base":11}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2966,"base":11},"right_expr":{"type":"numeric_atoms","value":1773,"base":11}}}}},"used_operators":["QMFrweE19q","rJVOvQCfKK","DhbWaqg5eL","t8gj7n24qd","yyfyN0ffXY","COABgblf1C","DlLNRPXxWL","mqXw5SEYmG","3ViojmjbAp","nCS4ZIUYfx","eewbuw0ToL","dWAJyo7jo9","W4YGzv6Whe"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY"],"result":"⋰*⋻2052","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7908","layer":4},{"info":"compute unary expreesion, input=7908, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-7908","layer":3},{"info":"compute unary expreesion, input=-7908, 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=1009","layer":4},{"info":"number node, value=6366","layer":4},{"info":"compute binary expreesion, left_input=1009, right_input=6366, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=10719","layer":3},{"info":"number node, value=1814","layer":4},{"info":"compute unary expreesion, input=1814, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=10719, right_input=0, 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=1522, 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=2619","layer":4},{"info":"number node, value=4483","layer":4},{"info":"compute binary expreesion, left_input=2619, right_input=4483, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1864","layer":3},{"info":"number node, value=4482","layer":4},{"info":"number node, value=3701","layer":4},{"info":"compute binary expreesion, left_input=4482, right_input=3701, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=791","layer":3},{"info":"compute binary expreesion, left_input=1864, right_input=791, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-794","layer":2},{"info":"number node, value=1241","layer":4},{"info":"number node, value=1403","layer":4},{"info":"compute binary expreesion, left_input=1241, right_input=1403, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=2966","layer":4},{"info":"number node, value=1773","layer":4},{"info":"compute binary expreesion, left_input=2966, right_input=1773, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4739","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4739, op_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=-794, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=968, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=2719","layer":0}],"base":11,"result_base":11,"text":"(+⊝⨔(-⋰*⋻5A3A))⨎((⋰*⋻838⊭↱⋰*⋻4868)↙(⫛⫱⨽⋰*⋻13AA))⫡⨏(⋰*⋻1A71⨳⩥⨓⋰*⋻3406)⨓(⋰*⋻3405⨰⋰*⋻2865)⫸⊐(⋰*⋻A29⪢⋰*⋻1066⫡⨏(⋰*⋻2257+⋰*⋻1372))=⋰*⋻2052","reverse_text":"⋰*⋻2052=(+⊝⨔(-⋰*⋻5A3A))⨎((⋰*⋻838⊭↱⋰*⋻4868)↙(⫛⫱⨽⋰*⋻13AA))⫡⨏(⋰*⋻1A71⨳⩥⨓⋰*⋻3406)⨓(⋰*⋻3405⨰⋰*⋻2865)⫸⊐(⋰*⋻A29⪢⋰*⋻1066⫡⨏(⋰*⋻2257+⋰*⋻1372))","cot":[{"info":"-⋰*⋻5A3A=⋰*⋻-5A3A","layer":3},{"info":"+⊝⨔⋰*⋻-5A3A=⋰*⋻1164","layer":2},{"info":"⋰*⋻838⊭↱⋰*⋻4868=⋰*⋻8065","layer":3},{"info":"⫛⫱⨽⋰*⋻13AA=⋰*⋻0","layer":3},{"info":"⋰*⋻8065↙⋰*⋻0=⋰*⋻0","layer":2},{"info":"⋰*⋻1164⨎⋰*⋻0=⋰*⋻0","layer":1},{"info":"⋰*⋻1A71⨳⩥⨓⋰*⋻3406=⋰*⋻1445","layer":3},{"info":"⋰*⋻3405⨰⋰*⋻2865=⋰*⋻65A","layer":3},{"info":"⋰*⋻1445⨓⋰*⋻65A=⋰*⋻-662","layer":2},{"info":"⋰*⋻A29⪢⋰*⋻1066=NaN","layer":3},{"info":"⋰*⋻2257+⋰*⋻1372=⋰*⋻3619","layer":3},{"info":"NaN⫡⨏⋰*⋻3619=NaN","layer":2},{"info":"⋰*⋻-662⫸⊐NaN=⋰*⋻800","layer":1},{"info":"⋰*⋻0⫡⨏⋰*⋻800=⋰*⋻2052","layer":0}]}
{"id":335,"expression_no_base_symbol":"(⊙↵-($1197$⇷$4029$))≹⇙⪍(($4744$⪨≂$1492$)⩨$1283$↙$5018$)⫥∨⫟($4925$⋷$2555$/$2985$⋳⪒$2518$)∀⇚≩(($3537$*$1061$)⨽(⨵≀≌$2352$))","expression":"(⊙↵-(⋰*⋻999⇷⋰*⋻3033))≹⇙⪍((⋰*⋻3623⪨≂⋰*⋻1137)⩨⋰*⋻A67↙⋰*⋻3852)⫥∨⫟(⋰*⋻3778⋷⋰*⋻1A13/⋰*⋻2274⋳⪒⋰*⋻198A)∀⇚≩((⋰*⋻2726*⋰*⋻885)⨽(⨵≀≌⋰*⋻1849))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3783976,"operation_count":14,"complexity_ratio":270284.0,"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":1197,"base":11},"right_expr":{"type":"numeric_atoms","value":4029,"base":11}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4744,"base":11},"right_expr":{"type":"numeric_atoms","value":1492,"base":11}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1283,"base":11},"right_expr":{"type":"numeric_atoms","value":5018,"base":11}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":4925,"base":11},"right_expr":{"type":"numeric_atoms","value":2555,"base":11}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2985,"base":11},"right_expr":{"type":"numeric_atoms","value":2518,"base":11}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3537,"base":11},"right_expr":{"type":"numeric_atoms","value":1061,"base":11}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":2352,"base":11}}}}},"used_operators":["KYD54nUTWz","AHs5Up7iyr","oWn0xqSxBt","mp7IySMOzn","2DlMacCsIx","sdazOOVcIp","yyfyN0ffXY","LRNGc0VcxI","XhwjNDsVaA","23Mk6UjR3U","12rbrZMWeM","8HhzD0ZcuI","9HNa5Wba9A","srAu1WTS94"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1197","layer":4},{"info":"number node, value=4029","layer":4},{"info":"compute binary expreesion, left_input=1197, right_input=4029, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=8058","layer":3},{"info":"compute unary expreesion, input=8058, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":2},{"info":"number node, value=4744","layer":4},{"info":"number node, value=1492","layer":4},{"info":"compute binary expreesion, left_input=4744, right_input=1492, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=6606","layer":3},{"info":"number node, value=1283","layer":4},{"info":"number node, value=5018","layer":4},{"info":"compute binary expreesion, left_input=1283, right_input=5018, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-15054","layer":3},{"info":"compute binary expreesion, left_input=6606, right_input=-15054, 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=-1, right_input=9, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=4925","layer":4},{"info":"number node, value=2555","layer":4},{"info":"compute binary expreesion, left_input=4925, right_input=2555, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=185","layer":3},{"info":"number node, value=2985","layer":4},{"info":"number node, value=2518","layer":4},{"info":"compute binary expreesion, left_input=2985, right_input=2518, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3165","layer":3},{"info":"compute binary expreesion, left_input=185, right_input=3165, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=3537","layer":4},{"info":"number node, value=1061","layer":4},{"info":"compute binary expreesion, left_input=3537, right_input=1061, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3752757","layer":3},{"info":"number node, value=2352","layer":4},{"info":"compute unary expreesion, input=2352, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-7056","layer":3},{"info":"compute binary expreesion, left_input=3752757, right_input=-7056, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-inf, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=-inf","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-inf, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⊙↵-(⋰*⋻999⇷⋰*⋻3033))≹⇙⪍((⋰*⋻3623⪨≂⋰*⋻1137)⩨⋰*⋻A67↙⋰*⋻3852)⫥∨⫟(⋰*⋻3778⋷⋰*⋻1A13/⋰*⋻2274⋳⪒⋰*⋻198A)∀⇚≩((⋰*⋻2726*⋰*⋻885)⨽(⨵≀≌⋰*⋻1849))=NaN","reverse_text":"NaN=(⊙↵-(⋰*⋻999⇷⋰*⋻3033))≹⇙⪍((⋰*⋻3623⪨≂⋰*⋻1137)⩨⋰*⋻A67↙⋰*⋻3852)⫥∨⫟(⋰*⋻3778⋷⋰*⋻1A13/⋰*⋻2274⋳⪒⋰*⋻198A)∀⇚≩((⋰*⋻2726*⋰*⋻885)⨽(⨵≀≌⋰*⋻1849))","cot":[{"info":"⋰*⋻999⇷⋰*⋻3033=⋰*⋻6066","layer":3},{"info":"⊙↵-⋰*⋻6066=⋰*⋻-1","layer":2},{"info":"⋰*⋻3623⪨≂⋰*⋻1137=⋰*⋻4A66","layer":3},{"info":"⋰*⋻A67↙⋰*⋻3852=⋰*⋻-10346","layer":3},{"info":"⋰*⋻4A66⩨⋰*⋻-10346=⋰*⋻9","layer":2},{"info":"⋰*⋻-1≹⇙⪍⋰*⋻9=NaN","layer":1},{"info":"⋰*⋻3778⋷⋰*⋻1A13=⋰*⋻159","layer":3},{"info":"⋰*⋻2274⋳⪒⋰*⋻198A=⋰*⋻2418","layer":3},{"info":"⋰*⋻159/⋰*⋻2418=⋰*⋻0","layer":2},{"info":"⋰*⋻2726*⋰*⋻885=⋰*⋻2133558","layer":3},{"info":"⨵≀≌⋰*⋻1849=⋰*⋻-5335","layer":3},{"info":"⋰*⋻2133558⨽⋰*⋻-5335=-Inf","layer":2},{"info":"⋰*⋻0∀⇚≩-Inf=-Inf","layer":1},{"info":"NaN⫥∨⫟-Inf=NaN","layer":0}]}
{"id":336,"expression_no_base_symbol":"(↔($4571$⨪↰⇹$9147$))≎⊠⪸($2144$⪮%⊝$1111$)⊴($2091$⨰$1324$)⫥∨⫟(($2653$⇷$6118$∲⫓$2537$*$1105$)⋥≓≎(↩($1810$⩨$1313$)))","expression":"(↔(⋰*⋻3486⨪↰⇹⋰*⋻6966))≎⊠⪸(⋰*⋻167A⪮%⊝⋰*⋻920)⊴(⋰*⋻1631⨰⋰*⋻AA4)⫥∨⫟((⋰*⋻1AA2⇷⋰*⋻4662∲⫓⋰*⋻19A7*⋰*⋻915)⋥≓≎(↩(⋰*⋻13A6⩨⋰*⋻A94)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":46274,"operation_count":13,"complexity_ratio":3559.5384615384614,"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":4571,"base":11},"right_expr":{"type":"numeric_atoms","value":9147,"base":11}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2144,"base":11},"right_expr":{"type":"numeric_atoms","value":1111,"base":11}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2091,"base":11},"right_expr":{"type":"numeric_atoms","value":1324,"base":11}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2653,"base":11},"right_expr":{"type":"numeric_atoms","value":6118,"base":11}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2537,"base":11},"right_expr":{"type":"numeric_atoms","value":1105,"base":11}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1810,"base":11},"right_expr":{"type":"numeric_atoms","value":1313,"base":11}}}}},"used_operators":["KYD54nUTWz","bJkvcejdHO","ruOEQAzv1W","tmPS8pqC7x","Nsiff2A1zJ","IWmyXbctLI","eewbuw0ToL","Qy55tPpLXF","i8ToyICDmI","mp7IySMOzn","9HNa5Wba9A","jLgFTUHLKL","2DlMacCsIx"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rJVOvQCfKK","dWAJyo7jo9","14qkJME0vr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4571","layer":4},{"info":"number node, value=9147","layer":4},{"info":"compute binary expreesion, left_input=4571, right_input=9147, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=4571","layer":3},{"info":"compute unary expreesion, input=4571, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-4298","layer":2},{"info":"number node, value=2144","layer":4},{"info":"number node, value=1111","layer":4},{"info":"compute binary expreesion, left_input=2144, right_input=1111, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4604","layer":3},{"info":"number node, value=2091","layer":4},{"info":"number node, value=1324","layer":4},{"info":"compute binary expreesion, left_input=2091, right_input=1324, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=777","layer":3},{"info":"compute binary expreesion, left_input=4604, right_input=777, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-4298, 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=2653","layer":4},{"info":"number node, value=6118","layer":4},{"info":"compute binary expreesion, left_input=2653, right_input=6118, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=12236","layer":3},{"info":"number node, value=2537","layer":4},{"info":"number node, value=1105","layer":4},{"info":"compute binary expreesion, left_input=2537, right_input=1105, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2803385","layer":3},{"info":"compute binary expreesion, left_input=12236, right_input=2803385, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=1810","layer":4},{"info":"number node, value=1313","layer":4},{"info":"compute binary expreesion, left_input=1810, right_input=1313, 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 = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=4844","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=4844, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=9721","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=9721, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(↔(⋰*⋻3486⨪↰⇹⋰*⋻6966))≎⊠⪸(⋰*⋻167A⪮%⊝⋰*⋻920)⊴(⋰*⋻1631⨰⋰*⋻AA4)⫥∨⫟((⋰*⋻1AA2⇷⋰*⋻4662∲⫓⋰*⋻19A7*⋰*⋻915)⋥≓≎(↩(⋰*⋻13A6⩨⋰*⋻A94)))=NaN","reverse_text":"NaN=(↔(⋰*⋻3486⨪↰⇹⋰*⋻6966))≎⊠⪸(⋰*⋻167A⪮%⊝⋰*⋻920)⊴(⋰*⋻1631⨰⋰*⋻AA4)⫥∨⫟((⋰*⋻1AA2⇷⋰*⋻4662∲⫓⋰*⋻19A7*⋰*⋻915)⋥≓≎(↩(⋰*⋻13A6⩨⋰*⋻A94)))","cot":[{"info":"⋰*⋻3486⨪↰⇹⋰*⋻6966=⋰*⋻3486","layer":3},{"info":"↔⋰*⋻3486=⋰*⋻-3258","layer":2},{"info":"⋰*⋻167A⪮%⊝⋰*⋻920=⋰*⋻3506","layer":3},{"info":"⋰*⋻1631⨰⋰*⋻AA4=⋰*⋻647","layer":3},{"info":"⋰*⋻3506⊴⋰*⋻647=NaN","layer":2},{"info":"⋰*⋻-3258≎⊠⪸NaN=⋰*⋻61","layer":1},{"info":"⋰*⋻1AA2⇷⋰*⋻4662=⋰*⋻9214","layer":3},{"info":"⋰*⋻19A7*⋰*⋻915=⋰*⋻1645252","layer":3},{"info":"⋰*⋻9214∲⫓⋰*⋻1645252=⋰*⋻0","layer":2},{"info":"⋰*⋻13A6⩨⋰*⋻A94=⋰*⋻0","layer":3},{"info":"↩⋰*⋻0=⋰*⋻3704","layer":2},{"info":"⋰*⋻0⋥≓≎⋰*⋻3704=⋰*⋻7338","layer":1},{"info":"⋰*⋻61⫥∨⫟⋰*⋻7338=NaN","layer":0}]}
{"id":337,"expression_no_base_symbol":"(($1349$⪘⫢$2851$≫≃)⨵⪆(↔$3423$)-$1286$≭$6301$)⨓(($1524$⋓$1604$)⪮%⊝($1228$↙$2596$))≹⇙⪍(($2217$⪨≂$1425$)⋥≓≎($2420$⪨≂$1004$))","expression":"((⋰*⋻1017⪘⫢⋰*⋻2162≫≃)⨵⪆(↔⋰*⋻2632)-⋰*⋻A6A≭⋰*⋻4809)⨓((⋰*⋻1166⋓⋰*⋻1229)⪮%⊝(⋰*⋻A17↙⋰*⋻1A50))≹⇙⪍((⋰*⋻1736⪨≂⋰*⋻1086)⋥≓≎(⋰*⋻1900⪨≂⋰*⋻833))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2675,"operation_count":14,"complexity_ratio":191.07142857142858,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1349,"base":11},"right_expr":{"type":"numeric_atoms","value":2851,"base":11}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":3423,"base":11}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1286,"base":11},"right_expr":{"type":"numeric_atoms","value":6301,"base":11}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1524,"base":11},"right_expr":{"type":"numeric_atoms","value":1604,"base":11}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1228,"base":11},"right_expr":{"type":"numeric_atoms","value":2596,"base":11}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2217,"base":11},"right_expr":{"type":"numeric_atoms","value":1425,"base":11}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2420,"base":11},"right_expr":{"type":"numeric_atoms","value":1004,"base":11}}}}},"used_operators":["3ViojmjbAp","2DQ55sFlQl","X99M06cbEe","oacrs7FA3X","rysDP5nf3Z","ruOEQAzv1W","rxpJgHHUmx","AHs5Up7iyr","IWmyXbctLI","T2fj7uvVaJ","yyfyN0ffXY","Qy55tPpLXF","sdazOOVcIp"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","AHs5Up7iyr","dWAJyo7jo9","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1349","layer":4},{"info":"number node, value=2851","layer":4},{"info":"compute binary expreesion, left_input=1349, right_input=2851, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2574","layer":3},{"info":"compute unary expreesion, input=2574, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=6549","layer":2},{"info":"number node, value=3423","layer":4},{"info":"compute unary expreesion, input=3423, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3150","layer":3},{"info":"number node, value=1286","layer":4},{"info":"number node, value=6301","layer":4},{"info":"compute binary expreesion, left_input=1286, right_input=6301, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=-3150, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=6549, 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=1524","layer":4},{"info":"number node, value=1604","layer":4},{"info":"compute binary expreesion, left_input=1524, right_input=1604, op_id = T2fj7uvVaJ binary_op_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=1228","layer":4},{"info":"number node, value=2596","layer":4},{"info":"compute binary expreesion, left_input=1228, right_input=2596, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-7788","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-7788, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=316","layer":2},{"info":"number node, value=2217","layer":4},{"info":"number node, value=1425","layer":4},{"info":"compute binary expreesion, left_input=2217, right_input=1425, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=1686","layer":3},{"info":"number node, value=2420","layer":4},{"info":"number node, value=1004","layer":4},{"info":"compute binary expreesion, left_input=2420, right_input=1004, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=2934","layer":3},{"info":"compute binary expreesion, left_input=1686, right_input=2934, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=4215","layer":2},{"info":"compute binary expreesion, left_input=316, right_input=4215, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1017⪘⫢⋰*⋻2162≫≃)⨵⪆(↔⋰*⋻2632)-⋰*⋻A6A≭⋰*⋻4809)⨓((⋰*⋻1166⋓⋰*⋻1229)⪮%⊝(⋰*⋻A17↙⋰*⋻1A50))≹⇙⪍((⋰*⋻1736⪨≂⋰*⋻1086)⋥≓≎(⋰*⋻1900⪨≂⋰*⋻833))=NaN","reverse_text":"NaN=((⋰*⋻1017⪘⫢⋰*⋻2162≫≃)⨵⪆(↔⋰*⋻2632)-⋰*⋻A6A≭⋰*⋻4809)⨓((⋰*⋻1166⋓⋰*⋻1229)⪮%⊝(⋰*⋻A17↙⋰*⋻1A50))≹⇙⪍((⋰*⋻1736⪨≂⋰*⋻1086)⋥≓≎(⋰*⋻1900⪨≂⋰*⋻833))","cot":[{"info":"⋰*⋻1017⪘⫢⋰*⋻2162=⋰*⋻1A30","layer":3},{"info":"⋰*⋻1A30≫≃=⋰*⋻4A14","layer":2},{"info":"↔⋰*⋻2632=⋰*⋻-2404","layer":3},{"info":"⋰*⋻A6A≭⋰*⋻4809=NaN","layer":3},{"info":"⋰*⋻-2404-NaN=NaN","layer":2},{"info":"⋰*⋻4A14⨵⪆NaN=⋰*⋻136","layer":1},{"info":"⋰*⋻1166⋓⋰*⋻1229=⋰*⋻0","layer":3},{"info":"⋰*⋻A17↙⋰*⋻1A50=⋰*⋻-5940","layer":3},{"info":"⋰*⋻0⪮%⊝⋰*⋻-5940=⋰*⋻268","layer":2},{"info":"⋰*⋻1736⪨≂⋰*⋻1086=⋰*⋻12A3","layer":3},{"info":"⋰*⋻1900⪨≂⋰*⋻833=⋰*⋻2228","layer":3},{"info":"⋰*⋻12A3⋥≓≎⋰*⋻2228=⋰*⋻3192","layer":2},{"info":"⋰*⋻268≹⇙⪍⋰*⋻3192=NaN","layer":1},{"info":"⋰*⋻136⨓NaN=NaN","layer":0}]}
{"id":338,"expression_no_base_symbol":"($7314$≹⇙⪍$1176$⇷(≦∁$1223$))⪘⫢(↯⪼$1088$)⊴($2246$⫌⩹⨱)⊭∹↮","expression":"(⋰*⋻554A≹⇙⪍⋰*⋻97A⇷(≦∁⋰*⋻A12))⪘⫢(↯⪼⋰*⋻8AA)⊴(⋰*⋻1762⫌⩹⨱)⊭∹↮","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5974,"operation_count":8,"complexity_ratio":746.75,"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":7314,"base":11},"right_expr":{"type":"numeric_atoms","value":1176,"base":11}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1223,"base":11}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1088,"base":11}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":2246,"base":11}}}}},"used_operators":["xNBdhnnwKq","oacrs7FA3X","mp7IySMOzn","AHs5Up7iyr","9ICcGScMcE","Nsiff2A1zJ","8jW3W4yZS5","EBcxylXtPf"],"dependent_operators":["2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","dWAJyo7jo9","14qkJME0vr","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=7314","layer":4},{"info":"number node, value=1176","layer":4},{"info":"compute binary expreesion, left_input=7314, right_input=1176, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=1223","layer":4},{"info":"compute unary expreesion, input=1223, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1223","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1223, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2446","layer":2},{"info":"number node, value=1088","layer":4},{"info":"compute unary expreesion, input=1088, 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=2246","layer":4},{"info":"compute unary expreesion, input=2246, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=5893","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=5893, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2446, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻554A≹⇙⪍⋰*⋻97A⇷(≦∁⋰*⋻A12))⪘⫢(↯⪼⋰*⋻8AA)⊴(⋰*⋻1762⫌⩹⨱)⊭∹↮=NaN","reverse_text":"NaN=(⋰*⋻554A≹⇙⪍⋰*⋻97A⇷(≦∁⋰*⋻A12))⪘⫢(↯⪼⋰*⋻8AA)⊴(⋰*⋻1762⫌⩹⨱)⊭∹↮","cot":[{"info":"⋰*⋻554A≹⇙⪍⋰*⋻97A=NaN","layer":3},{"info":"≦∁⋰*⋻A12=⋰*⋻A12","layer":3},{"info":"NaN⇷⋰*⋻A12=⋰*⋻1924","layer":2},{"info":"↯⪼⋰*⋻8AA=⋰*⋻-1A","layer":3},{"info":"⋰*⋻1762⫌⩹⨱=⋰*⋻4478","layer":3},{"info":"⋰*⋻-1A⊴⋰*⋻4478=NaN","layer":2},{"info":"⋰*⋻1924⪘⫢NaN=NaN","layer":1},{"info":"NaN⊭∹↮=NaN","layer":0}]}
{"id":339,"expression_no_base_symbol":"((∥⊫($2779$⫩⊇))⊠≄⫣)⪨≂(($6683$⪒$2155$)⪒$1572$⋝⋈⪟$6206$)∀⇚≩(⨰⫟⨤($1350$≦≮≮))","expression":"((∥⊫(⋰*⋻20A7⫩⊇))⊠≄⫣)⪨≂((⋰*⋻5026⪒⋰*⋻168A)⪒⋰*⋻11AA⋝⋈⪟⋰*⋻4732)∀⇚≩(⨰⫟⨤(⋰*⋻1018≦≮≮))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":67979,"operation_count":10,"complexity_ratio":6797.9,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":2779,"base":11}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":6683,"base":11},"right_expr":{"type":"numeric_atoms","value":2155,"base":11}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1572,"base":11},"right_expr":{"type":"numeric_atoms","value":6206,"base":11}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1350,"base":11}}}}},"used_operators":["sdazOOVcIp","DIvbN7qnHd","P8v4zCKN1o","BjRHVeLaeN","LRNGc0VcxI","f6k1SAg4EE","2DDjHMKMc0","Tw270M8GLb","D4vGDi5EA2"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2779","layer":4},{"info":"compute unary expreesion, input=2779, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-2737","layer":3},{"info":"compute unary expreesion, input=-2737, 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 = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"number node, value=6683","layer":4},{"info":"number node, value=2155","layer":4},{"info":"compute binary expreesion, left_input=6683, right_input=2155, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8838","layer":3},{"info":"number node, value=1572","layer":4},{"info":"number node, value=6206","layer":4},{"info":"compute binary expreesion, left_input=1572, right_input=6206, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1572","layer":3},{"info":"compute binary expreesion, left_input=-8838, right_input=1572, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=7266","layer":2},{"info":"number node, value=1350","layer":4},{"info":"compute unary expreesion, input=1350, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-4050","layer":3},{"info":"compute unary expreesion, input=-4050, 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=7266, 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=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":0}],"base":11,"result_base":11,"text":"((∥⊫(⋰*⋻20A7⫩⊇))⊠≄⫣)⪨≂((⋰*⋻5026⪒⋰*⋻168A)⪒⋰*⋻11AA⋝⋈⪟⋰*⋻4732)∀⇚≩(⨰⫟⨤(⋰*⋻1018≦≮≮))=NaN","reverse_text":"NaN=((∥⊫(⋰*⋻20A7⫩⊇))⊠≄⫣)⪨≂((⋰*⋻5026⪒⋰*⋻168A)⪒⋰*⋻11AA⋝⋈⪟⋰*⋻4732)∀⇚≩(⨰⫟⨤(⋰*⋻1018≦≮≮))","cot":[{"info":"⋰*⋻20A7⫩⊇=⋰*⋻-2069","layer":3},{"info":"∥⊫⋰*⋻-2069=⋰*⋻-50","layer":2},{"info":"⋰*⋻-50⊠≄⫣=⋰*⋻0","layer":1},{"info":"⋰*⋻5026⪒⋰*⋻168A=⋰*⋻-6705","layer":3},{"info":"⋰*⋻11AA⋝⋈⪟⋰*⋻4732=⋰*⋻11AA","layer":3},{"info":"⋰*⋻-6705⪒⋰*⋻11AA=⋰*⋻5506","layer":2},{"info":"⋰*⋻1018≦≮≮=⋰*⋻-3052","layer":3},{"info":"⨰⫟⨤⋰*⋻-3052=NaN","layer":2},{"info":"⋰*⋻5506∀⇚≩NaN=NaN","layer":1},{"info":"⋰*⋻0⪨≂NaN=NaN","layer":0}]}
{"id":340,"expression_no_base_symbol":"⩦⩻⨪(($3256$⪘⫢$2124$⋷$1207$∑⇟⊟$5674$)∲⫓(↯⪼$5044$)⋝⋈⪟($1471$⋝⋈⪟$2912$))","expression":"⩦⩻⨪((⋰*⋻24A0⪘⫢⋰*⋻1661⋷⋰*⋻9A8∑⇟⊟⋰*⋻4299)∲⫓(↯⪼⋰*⋻3876)⋝⋈⪟(⋰*⋻1118⋝⋈⪟⋰*⋻2208))","highest_n_order":4,"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":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3256,"base":11},"right_expr":{"type":"numeric_atoms","value":2124,"base":11}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1207,"base":11},"right_expr":{"type":"numeric_atoms","value":5674,"base":11}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":5044,"base":11}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1471,"base":11},"right_expr":{"type":"numeric_atoms","value":2912,"base":11}}}}},"used_operators":["2td37pGCOC","i8ToyICDmI","23Mk6UjR3U","oacrs7FA3X","U7g4x0WXJJ","2DDjHMKMc0","8jW3W4yZS5"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=3256","layer":4},{"info":"number node, value=2124","layer":4},{"info":"compute binary expreesion, left_input=3256, right_input=2124, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6388","layer":3},{"info":"number node, value=1207","layer":4},{"info":"number node, value=5674","layer":4},{"info":"compute binary expreesion, left_input=1207, right_input=5674, 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=6388, 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=5044","layer":4},{"info":"compute unary expreesion, input=5044, 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=1471","layer":4},{"info":"number node, value=2912","layer":4},{"info":"compute binary expreesion, left_input=1471, right_input=2912, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1471","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=1471, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-21","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-21, 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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⩦⩻⨪((⋰*⋻24A0⪘⫢⋰*⋻1661⋷⋰*⋻9A8∑⇟⊟⋰*⋻4299)∲⫓(↯⪼⋰*⋻3876)⋝⋈⪟(⋰*⋻1118⋝⋈⪟⋰*⋻2208))=NaN","reverse_text":"NaN=⩦⩻⨪((⋰*⋻24A0⪘⫢⋰*⋻1661⋷⋰*⋻9A8∑⇟⊟⋰*⋻4299)∲⫓(↯⪼⋰*⋻3876)⋝⋈⪟(⋰*⋻1118⋝⋈⪟⋰*⋻2208))","cot":[{"info":"⋰*⋻24A0⪘⫢⋰*⋻1661=⋰*⋻4888","layer":3},{"info":"⋰*⋻9A8∑⇟⊟⋰*⋻4299=NaN","layer":3},{"info":"⋰*⋻4888⋷NaN=NaN","layer":2},{"info":"↯⪼⋰*⋻3876=⋰*⋻-1A","layer":3},{"info":"⋰*⋻1118⋝⋈⪟⋰*⋻2208=⋰*⋻1118","layer":3},{"info":"⋰*⋻-1A⋝⋈⪟⋰*⋻1118=⋰*⋻-1A","layer":2},{"info":"NaN∲⫓⋰*⋻-1A=NaN","layer":1},{"info":"⩦⩻⨪NaN=NaN","layer":0}]}
{"id":341,"expression_no_base_symbol":"∂(⊄⩳↩($4576$≧⫂∧$2178$⨽$3412$+⇶⊼$2831$))","expression":"∂(⊄⩳↩(⋰*⋻3490≧⫂∧⋰*⋻1700⨽⋰*⋻2622+⇶⊼⋰*⋻2144))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1720,"operation_count":5,"complexity_ratio":344.0,"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":4576,"base":11},"right_expr":{"type":"numeric_atoms","value":2178,"base":11}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3412,"base":11},"right_expr":{"type":"numeric_atoms","value":2831,"base":11}}}}},"used_operators":["Uaa54Peajs","8w2t5hMYqp","8HhzD0ZcuI","Ph9nP6C5qx","TpPTUOHfaN"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=4576","layer":4},{"info":"number node, value=2178","layer":4},{"info":"compute binary expreesion, left_input=4576, right_input=2178, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1705","layer":3},{"info":"number node, value=3412","layer":4},{"info":"number node, value=2831","layer":4},{"info":"compute binary expreesion, left_input=3412, right_input=2831, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=1705, 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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"∂(⊄⩳↩(⋰*⋻3490≧⫂∧⋰*⋻1700⨽⋰*⋻2622+⇶⊼⋰*⋻2144))=NaN","reverse_text":"NaN=∂(⊄⩳↩(⋰*⋻3490≧⫂∧⋰*⋻1700⨽⋰*⋻2622+⇶⊼⋰*⋻2144))","cot":[{"info":"⋰*⋻3490≧⫂∧⋰*⋻1700=⋰*⋻1310","layer":3},{"info":"⋰*⋻2622+⇶⊼⋰*⋻2144=NaN","layer":3},{"info":"⋰*⋻1310⨽NaN=NaN","layer":2},{"info":"⊄⩳↩NaN=NaN","layer":1},{"info":"∂NaN=NaN","layer":0}]}
{"id":342,"expression_no_base_symbol":"(($2580$+⇶⊼$3501$⩤)⋓(($5115$%$3262$)⪒$3686$⫥∨⫟$1647$))⪮%⊝(($3077$%$1982$)≎⊠⪸($1571$⫥∨⫟$4779$)↺($1101$≎⊠⪸$2357$)⪮%⊝(↽≂$1546$))","expression":"((⋰*⋻1A36+⇶⊼⋰*⋻26A3⩤)⋓((⋰*⋻3930%⋰*⋻24A6)⪒⋰*⋻2851⫥∨⫟⋰*⋻1268))⪮%⊝((⋰*⋻2348%⋰*⋻1542)≎⊠⪸(⋰*⋻11A9⫥∨⫟⋰*⋻3655)↺(⋰*⋻911≎⊠⪸⋰*⋻1853)⪮%⊝(↽≂⋰*⋻1186))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":632,"operation_count":14,"complexity_ratio":45.142857142857146,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2580,"base":11},"right_expr":{"type":"numeric_atoms","value":3501,"base":11}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":5115,"base":11},"right_expr":{"type":"numeric_atoms","value":3262,"base":11}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3686,"base":11},"right_expr":{"type":"numeric_atoms","value":1647,"base":11}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3077,"base":11},"right_expr":{"type":"numeric_atoms","value":1982,"base":11}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1571,"base":11},"right_expr":{"type":"numeric_atoms","value":4779,"base":11}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1101,"base":11},"right_expr":{"type":"numeric_atoms","value":2357,"base":11}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1546,"base":11}}}}},"used_operators":["IWmyXbctLI","T2fj7uvVaJ","Z2TMIBDE3Q","TpPTUOHfaN","f6k1SAg4EE","k8jYdgA6NY","KYD54nUTWz","7j4O788W3g","bJkvcejdHO","u6S6b8DprG"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2580","layer":4},{"info":"number node, value=3501","layer":4},{"info":"compute binary expreesion, left_input=2580, right_input=3501, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=nan","layer":2},{"info":"number node, value=5115","layer":4},{"info":"number node, value=3262","layer":4},{"info":"compute binary expreesion, left_input=5115, right_input=3262, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1853","layer":3},{"info":"number node, value=3686","layer":4},{"info":"number node, value=1647","layer":4},{"info":"compute binary expreesion, left_input=3686, right_input=1647, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1853, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = T2fj7uvVaJ 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=3077","layer":4},{"info":"number node, value=1982","layer":4},{"info":"compute binary expreesion, left_input=3077, right_input=1982, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1095","layer":3},{"info":"number node, value=1571","layer":4},{"info":"number node, value=4779","layer":4},{"info":"compute binary expreesion, left_input=1571, right_input=4779, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1095, 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=1101","layer":4},{"info":"number node, value=2357","layer":4},{"info":"compute binary expreesion, left_input=1101, right_input=2357, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=284686","layer":3},{"info":"number node, value=1546","layer":4},{"info":"compute unary expreesion, input=1546, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-3092","layer":3},{"info":"compute binary expreesion, left_input=284686, right_input=-3092, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=569688","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=569688, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=569688","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=569688, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1A36+⇶⊼⋰*⋻26A3⩤)⋓((⋰*⋻3930%⋰*⋻24A6)⪒⋰*⋻2851⫥∨⫟⋰*⋻1268))⪮%⊝((⋰*⋻2348%⋰*⋻1542)≎⊠⪸(⋰*⋻11A9⫥∨⫟⋰*⋻3655)↺(⋰*⋻911≎⊠⪸⋰*⋻1853)⪮%⊝(↽≂⋰*⋻1186))=NaN","reverse_text":"NaN=((⋰*⋻1A36+⇶⊼⋰*⋻26A3⩤)⋓((⋰*⋻3930%⋰*⋻24A6)⪒⋰*⋻2851⫥∨⫟⋰*⋻1268))⪮%⊝((⋰*⋻2348%⋰*⋻1542)≎⊠⪸(⋰*⋻11A9⫥∨⫟⋰*⋻3655)↺(⋰*⋻911≎⊠⪸⋰*⋻1853)⪮%⊝(↽≂⋰*⋻1186))","cot":[{"info":"⋰*⋻1A36+⇶⊼⋰*⋻26A3=NaN","layer":3},{"info":"NaN⩤=NaN","layer":2},{"info":"⋰*⋻3930%⋰*⋻24A6=⋰*⋻1435","layer":3},{"info":"⋰*⋻2851⫥∨⫟⋰*⋻1268=NaN","layer":3},{"info":"⋰*⋻1435⪒NaN=NaN","layer":2},{"info":"NaN⋓NaN=NaN","layer":1},{"info":"⋰*⋻2348%⋰*⋻1542=⋰*⋻906","layer":3},{"info":"⋰*⋻11A9⫥∨⫟⋰*⋻3655=NaN","layer":3},{"info":"⋰*⋻906≎⊠⪸NaN=⋰*⋻61","layer":2},{"info":"⋰*⋻911≎⊠⪸⋰*⋻1853=⋰*⋻184986","layer":3},{"info":"↽≂⋰*⋻1186=⋰*⋻-2361","layer":3},{"info":"⋰*⋻184986⪮%⊝⋰*⋻-2361=⋰*⋻35A019","layer":2},{"info":"⋰*⋻61↺⋰*⋻35A019=⋰*⋻35A019","layer":1},{"info":"NaN⪮%⊝⋰*⋻35A019=NaN","layer":0}]}
{"id":343,"expression_no_base_symbol":"(↽≂$6780$)⪢($1161$⋫)≭((⨈⫕$5608$)∲⫓($1248$⪨≂$5479$))⊭∹↮","expression":"(↽≂⋰*⋻5104)⪢(⋰*⋻966⋫)≭((⨈⫕⋰*⋻4239)∲⫓(⋰*⋻A35⪨≂⋰*⋻4131))⊭∹↮","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4306,"operation_count":8,"complexity_ratio":538.25,"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":6780,"base":11}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1161,"base":11}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":5608,"base":11}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1248,"base":11},"right_expr":{"type":"numeric_atoms","value":5479,"base":11}}}}},"used_operators":["xNBdhnnwKq","rxpJgHHUmx","dWAJyo7jo9","u6S6b8DprG","JL8yIekQnl","i8ToyICDmI","megm06wKyl","sdazOOVcIp"],"dependent_operators":["2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","AHs5Up7iyr","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6780","layer":4},{"info":"compute unary expreesion, input=6780, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-13560","layer":3},{"info":"number node, value=1161","layer":4},{"info":"compute unary expreesion, input=1161, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1161","layer":3},{"info":"compute binary expreesion, left_input=-13560, right_input=1161, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=5608","layer":4},{"info":"compute unary expreesion, input=5608, 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=1248","layer":4},{"info":"number node, value=5479","layer":4},{"info":"compute binary expreesion, left_input=1248, right_input=5479, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-8360","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-8360, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-21","layer":2},{"info":"compute binary expreesion, left_input=nan, 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 = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(↽≂⋰*⋻5104)⪢(⋰*⋻966⋫)≭((⨈⫕⋰*⋻4239)∲⫓(⋰*⋻A35⪨≂⋰*⋻4131))⊭∹↮=NaN","reverse_text":"NaN=(↽≂⋰*⋻5104)⪢(⋰*⋻966⋫)≭((⨈⫕⋰*⋻4239)∲⫓(⋰*⋻A35⪨≂⋰*⋻4131))⊭∹↮","cot":[{"info":"↽≂⋰*⋻5104=⋰*⋻-A208","layer":3},{"info":"⋰*⋻966⋫=⋰*⋻966","layer":3},{"info":"⋰*⋻-A208⪢⋰*⋻966=NaN","layer":2},{"info":"⨈⫕⋰*⋻4239=⋰*⋻-1A","layer":3},{"info":"⋰*⋻A35⪨≂⋰*⋻4131=⋰*⋻-6310","layer":3},{"info":"⋰*⋻-1A∲⫓⋰*⋻-6310=⋰*⋻-1A","layer":2},{"info":"NaN≭⋰*⋻-1A=NaN","layer":1},{"info":"NaN⊭∹↮=NaN","layer":0}]}
{"id":344,"expression_no_base_symbol":"⋗⩬⋾($1396$⨰$3894$⋷(⊥$3115$))⨎($8619$-$1096$)⨰($5088$↺$1092$)","expression":"⋗⩬⋾(⋰*⋻105A⨰⋰*⋻2A20⋷(⊥⋰*⋻2382))⨎(⋰*⋻6526-⋰*⋻907)⨰(⋰*⋻3906↺⋰*⋻903)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":22,"operation_count":8,"complexity_ratio":2.75,"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":1396,"base":11},"right_expr":{"type":"numeric_atoms","value":3894,"base":11}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":3115,"base":11}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":8619,"base":11},"right_expr":{"type":"numeric_atoms","value":1096,"base":11}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":5088,"base":11},"right_expr":{"type":"numeric_atoms","value":1092,"base":11}}}}},"used_operators":["DpFCA1CohY","rJVOvQCfKK","23Mk6UjR3U","eewbuw0ToL","Q3PJZHRvZv","rysDP5nf3Z","7j4O788W3g"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","rysDP5nf3Z","t8gj7n24qd"],"result":"⋰*⋻-13577","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1396","layer":4},{"info":"number node, value=3894","layer":4},{"info":"compute binary expreesion, left_input=1396, right_input=3894, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2488","layer":3},{"info":"number node, value=3115","layer":4},{"info":"compute unary expreesion, input=3115, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2488, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=4976","layer":2},{"info":"number node, value=8619","layer":4},{"info":"number node, value=1096","layer":4},{"info":"compute binary expreesion, left_input=8619, right_input=1096, op_id = rysDP5nf3Z binary_op_definition= 'None', output=7523","layer":3},{"info":"number node, value=5088","layer":4},{"info":"number node, value=1092","layer":4},{"info":"compute binary expreesion, left_input=5088, right_input=1092, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1092","layer":3},{"info":"compute binary expreesion, left_input=7523, right_input=1092, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=6441","layer":2},{"info":"compute binary expreesion, left_input=4976, right_input=6441, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=6441","layer":1},{"info":"compute unary expreesion, input=6441, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-19323","layer":0}],"base":11,"result_base":11,"text":"⋗⩬⋾(⋰*⋻105A⨰⋰*⋻2A20⋷(⊥⋰*⋻2382))⨎(⋰*⋻6526-⋰*⋻907)⨰(⋰*⋻3906↺⋰*⋻903)=⋰*⋻-13577","reverse_text":"⋰*⋻-13577=⋗⩬⋾(⋰*⋻105A⨰⋰*⋻2A20⋷(⊥⋰*⋻2382))⨎(⋰*⋻6526-⋰*⋻907)⨰(⋰*⋻3906↺⋰*⋻903)","cot":[{"info":"⋰*⋻105A⨰⋰*⋻2A20=⋰*⋻-1962","layer":3},{"info":"⊥⋰*⋻2382=NaN","layer":3},{"info":"⋰*⋻-1962⋷NaN=⋰*⋻3814","layer":2},{"info":"⋰*⋻6526-⋰*⋻907=⋰*⋻571A","layer":3},{"info":"⋰*⋻3906↺⋰*⋻903=⋰*⋻903","layer":3},{"info":"⋰*⋻571A⨰⋰*⋻903=⋰*⋻4926","layer":2},{"info":"⋰*⋻3814⨎⋰*⋻4926=⋰*⋻4926","layer":1},{"info":"⋗⩬⋾⋰*⋻4926=⋰*⋻-13577","layer":0}]}
{"id":345,"expression_no_base_symbol":"(⫓⪴($4068$∑⇟⊟$1719$≣⋋))⩨((($6283$↺$1291$)⊪)⪒($3536$⫥∨⫟$3468$⨁⊸⫻))","expression":"(⫓⪴(⋰*⋻3069∑⇟⊟⋰*⋻1323≣⋋))⩨(((⋰*⋻47A2↺⋰*⋻A74)⊪)⪒(⋰*⋻2725⫥∨⫟⋰*⋻2673⨁⊸⫻))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":203,"operation_count":9,"complexity_ratio":22.555555555555557,"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":4068,"base":11},"right_expr":{"type":"numeric_atoms","value":1719,"base":11}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":6283,"base":11},"right_expr":{"type":"numeric_atoms","value":1291,"base":11}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3536,"base":11},"right_expr":{"type":"numeric_atoms","value":3468,"base":11}}}}},"used_operators":["2DlMacCsIx","eLxqMNBOBk","Tcnh7f0tEr","U7g4x0WXJJ","f6k1SAg4EE","zVYPLywUTj","7j4O788W3g","glklzrTFfD","KYD54nUTWz"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","9HNa5Wba9A","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=4068","layer":4},{"info":"number node, value=1719","layer":4},{"info":"compute binary expreesion, left_input=4068, right_input=1719, 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 = 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 = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":1},{"info":"number node, value=6283","layer":4},{"info":"number node, value=1291","layer":4},{"info":"compute binary expreesion, left_input=6283, right_input=1291, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1291","layer":3},{"info":"compute unary expreesion, input=1291, 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=3536","layer":4},{"info":"number node, value=3468","layer":4},{"info":"compute binary expreesion, left_input=3536, right_input=3468, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=nan","layer":2},{"info":"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 = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⫓⪴(⋰*⋻3069∑⇟⊟⋰*⋻1323≣⋋))⩨(((⋰*⋻47A2↺⋰*⋻A74)⊪)⪒(⋰*⋻2725⫥∨⫟⋰*⋻2673⨁⊸⫻))=NaN","reverse_text":"NaN=(⫓⪴(⋰*⋻3069∑⇟⊟⋰*⋻1323≣⋋))⩨(((⋰*⋻47A2↺⋰*⋻A74)⊪)⪒(⋰*⋻2725⫥∨⫟⋰*⋻2673⨁⊸⫻))","cot":[{"info":"⋰*⋻3069∑⇟⊟⋰*⋻1323=NaN","layer":3},{"info":"NaN≣⋋=NaN","layer":2},{"info":"⫓⪴NaN=NaN","layer":1},{"info":"⋰*⋻47A2↺⋰*⋻A74=⋰*⋻A74","layer":3},{"info":"⋰*⋻A74⊪=⋰*⋻0","layer":2},{"info":"⋰*⋻2725⫥∨⫟⋰*⋻2673=NaN","layer":3},{"info":"NaN⨁⊸⫻=NaN","layer":2},{"info":"⋰*⋻0⪒NaN=NaN","layer":1},{"info":"NaN⩨NaN=NaN","layer":0}]}
{"id":346,"expression_no_base_symbol":"≦∁((($2305$⫸⊐$4189$)⋳⪒(↥$1382$))∸)","expression":"≦∁(((⋰*⋻1806⫸⊐⋰*⋻3169)⋳⪒(↥⋰*⋻1047))∸)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":259,"operation_count":5,"complexity_ratio":51.8,"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":2305,"base":11},"right_expr":{"type":"numeric_atoms","value":4189,"base":11}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1382,"base":11}}}}},"used_operators":["9ICcGScMcE","o20kRiQErp","12rbrZMWeM","mqXw5SEYmG","A8NUZmVepG"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","k8jYdgA6NY"],"result":"⋰*⋻-1922","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2305","layer":4},{"info":"number node, value=4189","layer":4},{"info":"compute binary expreesion, left_input=2305, right_input=4189, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=16631","layer":3},{"info":"number node, value=1382","layer":4},{"info":"compute unary expreesion, input=1382, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=5","layer":3},{"info":"compute binary expreesion, left_input=16631, right_input=5, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=32970","layer":2},{"info":"compute unary expreesion, input=32970, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"compute unary expreesion, input=177, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-2444","layer":0}],"base":11,"result_base":11,"text":"≦∁(((⋰*⋻1806⫸⊐⋰*⋻3169)⋳⪒(↥⋰*⋻1047))∸)=⋰*⋻-1922","reverse_text":"⋰*⋻-1922=≦∁(((⋰*⋻1806⫸⊐⋰*⋻3169)⋳⪒(↥⋰*⋻1047))∸)","cot":[{"info":"⋰*⋻1806⫸⊐⋰*⋻3169=⋰*⋻1154A","layer":3},{"info":"↥⋰*⋻1047=⋰*⋻5","layer":3},{"info":"⋰*⋻1154A⋳⪒⋰*⋻5=⋰*⋻22853","layer":2},{"info":"⋰*⋻22853∸=⋰*⋻151","layer":1},{"info":"≦∁⋰*⋻151=⋰*⋻-1922","layer":0}]}
{"id":347,"expression_no_base_symbol":"(⩦⩻⨪(($1101$↪⪝)⩨$1904$⫥∨⫟$1080$))⊴((($5631$/$7103$)⊘)⨵⪆$6818$⩷∴$1208$∲⫓$1882$≧⫂∧$1957$)","expression":"(⩦⩻⨪((⋰*⋻911↪⪝)⩨⋰*⋻1481⫥∨⫟⋰*⋻8A2))⊴(((⋰*⋻425A/⋰*⋻5378)⊘)⨵⪆⋰*⋻5139⩷∴⋰*⋻9A9∲⫓⋰*⋻1461≧⫂∧⋰*⋻151A)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1060,"operation_count":11,"complexity_ratio":96.36363636363636,"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":1101,"base":11}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1904,"base":11},"right_expr":{"type":"numeric_atoms","value":1080,"base":11}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":5631,"base":11},"right_expr":{"type":"numeric_atoms","value":7103,"base":11}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":6818,"base":11},"right_expr":{"type":"numeric_atoms","value":1208,"base":11}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1882,"base":11},"right_expr":{"type":"numeric_atoms","value":1957,"base":11}}}}},"used_operators":["Nsiff2A1zJ","2td37pGCOC","2DlMacCsIx","l07mrZUIn9","KYD54nUTWz","2DQ55sFlQl","gu96TGCTMs","XhwjNDsVaA","i8ToyICDmI","9FxExcQeMw","Ph9nP6C5qx"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","9HNa5Wba9A","2DDjHMKMc0","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1101","layer":4},{"info":"compute unary expreesion, input=1101, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=67361382","layer":3},{"info":"number node, value=1904","layer":4},{"info":"number node, value=1080","layer":4},{"info":"compute binary expreesion, left_input=1904, right_input=1080, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=67361382, 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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":1},{"info":"number node, value=5631","layer":4},{"info":"number node, value=7103","layer":4},{"info":"compute binary expreesion, left_input=5631, right_input=7103, op_id = XhwjNDsVaA binary_op_definition= 'None', 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=6818","layer":4},{"info":"number node, value=1208","layer":4},{"info":"compute binary expreesion, left_input=6818, right_input=1208, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=11188","layer":3},{"info":"number node, value=1882","layer":4},{"info":"number node, value=1957","layer":4},{"info":"compute binary expreesion, left_input=1882, right_input=1957, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1484","layer":3},{"info":"compute binary expreesion, left_input=11188, right_input=1484, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = 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 = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⩦⩻⨪((⋰*⋻911↪⪝)⩨⋰*⋻1481⫥∨⫟⋰*⋻8A2))⊴(((⋰*⋻425A/⋰*⋻5378)⊘)⨵⪆⋰*⋻5139⩷∴⋰*⋻9A9∲⫓⋰*⋻1461≧⫂∧⋰*⋻151A)=NaN","reverse_text":"NaN=(⩦⩻⨪((⋰*⋻911↪⪝)⩨⋰*⋻1481⫥∨⫟⋰*⋻8A2))⊴(((⋰*⋻425A/⋰*⋻5378)⊘)⨵⪆⋰*⋻5139⩷∴⋰*⋻9A9∲⫓⋰*⋻1461≧⫂∧⋰*⋻151A)","cot":[{"info":"⋰*⋻911↪⪝=⋰*⋻35029670","layer":3},{"info":"⋰*⋻1481⫥∨⫟⋰*⋻8A2=NaN","layer":3},{"info":"⋰*⋻35029670⩨NaN=NaN","layer":2},{"info":"⩦⩻⨪NaN=NaN","layer":1},{"info":"⋰*⋻425A/⋰*⋻5378=⋰*⋻0","layer":3},{"info":"⋰*⋻0⊘=⋰*⋻0","layer":2},{"info":"⋰*⋻5139⩷∴⋰*⋻9A9=⋰*⋻8451","layer":3},{"info":"⋰*⋻1461≧⫂∧⋰*⋻151A=⋰*⋻112A","layer":3},{"info":"⋰*⋻8451∲⫓⋰*⋻112A=⋰*⋻0","layer":2},{"info":"⋰*⋻0⨵⪆⋰*⋻0=⋰*⋻136","layer":1},{"info":"NaN⊴⋰*⋻136=NaN","layer":0}]}
{"id":348,"expression_no_base_symbol":"(($1352$⨳⩥⨓$1087$≋⫹)*($6808$⋥≓≎$1649$)≎⊠⪸($5678$≎⊠⪸$1088$))⨳⩥⨓($6939$+⇶⊼$2007$≭$4626$⪮%⊝$1428$⇼⇔∾(⨵≀≌$3533$)⫸⊐($3919$⫡⨏$5560$))","expression":"((⋰*⋻101A⨳⩥⨓⋰*⋻8A9≋⫹)*(⋰*⋻512A⋥≓≎⋰*⋻126A)≎⊠⪸(⋰*⋻42A2≎⊠⪸⋰*⋻8AA))⨳⩥⨓(⋰*⋻5239+⇶⊼⋰*⋻1565≭⋰*⋻3526⪮%⊝⋰*⋻1089⇼⇔∾(⨵≀≌⋰*⋻2722)⫸⊐(⋰*⋻2A43⫡⨏⋰*⋻41A5))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1111,"operation_count":14,"complexity_ratio":79.35714285714286,"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":1352,"base":11},"right_expr":{"type":"numeric_atoms","value":1087,"base":11}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":6808,"base":11},"right_expr":{"type":"numeric_atoms","value":1649,"base":11}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":5678,"base":11},"right_expr":{"type":"numeric_atoms","value":1088,"base":11}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":6939,"base":11},"right_expr":{"type":"numeric_atoms","value":2007,"base":11}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4626,"base":11},"right_expr":{"type":"numeric_atoms","value":1428,"base":11}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":3533,"base":11}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3919,"base":11},"right_expr":{"type":"numeric_atoms","value":5560,"base":11}}}}},"used_operators":["nCS4ZIUYfx","9HNa5Wba9A","N41Kp7NANJ","bJkvcejdHO","Qy55tPpLXF","tifHPKVTfV","rxpJgHHUmx","TpPTUOHfaN","IWmyXbctLI","mqXw5SEYmG","srAu1WTS94","QMFrweE19q"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","AHs5Up7iyr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1352","layer":4},{"info":"number node, value=1087","layer":4},{"info":"compute binary expreesion, left_input=1352, right_input=1087, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-265","layer":3},{"info":"compute unary expreesion, input=-265, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=530","layer":2},{"info":"number node, value=6808","layer":4},{"info":"number node, value=1649","layer":4},{"info":"compute binary expreesion, left_input=6808, right_input=1649, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-3477","layer":3},{"info":"number node, value=5678","layer":4},{"info":"number node, value=1088","layer":4},{"info":"compute binary expreesion, left_input=5678, right_input=1088, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1470129","layer":3},{"info":"compute binary expreesion, left_input=-3477, right_input=1470129, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=900543","layer":2},{"info":"compute binary expreesion, left_input=530, right_input=900543, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=477287790","layer":1},{"info":"number node, value=6939","layer":4},{"info":"number node, value=2007","layer":4},{"info":"compute binary expreesion, left_input=6939, right_input=2007, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=4626","layer":4},{"info":"number node, value=1428","layer":4},{"info":"compute binary expreesion, left_input=4626, right_input=1428, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=9568","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=9568, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=3533","layer":4},{"info":"compute unary expreesion, input=3533, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-10599","layer":3},{"info":"number node, value=3919","layer":4},{"info":"number node, value=5560","layer":4},{"info":"compute binary expreesion, left_input=3919, right_input=5560, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=31498","layer":3},{"info":"compute binary expreesion, left_input=-10599, right_input=31498, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=968, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=477287790, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻101A⨳⩥⨓⋰*⋻8A9≋⫹)*(⋰*⋻512A⋥≓≎⋰*⋻126A)≎⊠⪸(⋰*⋻42A2≎⊠⪸⋰*⋻8AA))⨳⩥⨓(⋰*⋻5239+⇶⊼⋰*⋻1565≭⋰*⋻3526⪮%⊝⋰*⋻1089⇼⇔∾(⨵≀≌⋰*⋻2722)⫸⊐(⋰*⋻2A43⫡⨏⋰*⋻41A5))=NaN","reverse_text":"NaN=((⋰*⋻101A⨳⩥⨓⋰*⋻8A9≋⫹)*(⋰*⋻512A⋥≓≎⋰*⋻126A)≎⊠⪸(⋰*⋻42A2≎⊠⪸⋰*⋻8AA))⨳⩥⨓(⋰*⋻5239+⇶⊼⋰*⋻1565≭⋰*⋻3526⪮%⊝⋰*⋻1089⇼⇔∾(⨵≀≌⋰*⋻2722)⫸⊐(⋰*⋻2A43⫡⨏⋰*⋻41A5))","cot":[{"info":"⋰*⋻101A⨳⩥⨓⋰*⋻8A9=⋰*⋻-221","layer":3},{"info":"⋰*⋻-221≋⫹=⋰*⋻442","layer":2},{"info":"⋰*⋻512A⋥≓≎⋰*⋻126A=⋰*⋻-2681","layer":3},{"info":"⋰*⋻42A2≎⊠⪸⋰*⋻8AA=⋰*⋻914591","layer":3},{"info":"⋰*⋻-2681≎⊠⪸⋰*⋻914591=⋰*⋻565656","layer":2},{"info":"⋰*⋻442*⋰*⋻565656=⋰*⋻225464421","layer":1},{"info":"⋰*⋻5239+⇶⊼⋰*⋻1565=NaN","layer":3},{"info":"⋰*⋻3526⪮%⊝⋰*⋻1089=⋰*⋻7209","layer":3},{"info":"NaN≭⋰*⋻7209=NaN","layer":2},{"info":"⨵≀≌⋰*⋻2722=⋰*⋻-7A66","layer":3},{"info":"⋰*⋻2A43⫡⨏⋰*⋻41A5=⋰*⋻21735","layer":3},{"info":"⋰*⋻-7A66⫸⊐⋰*⋻21735=⋰*⋻800","layer":2},{"info":"NaN⇼⇔∾⋰*⋻800=NaN","layer":1},{"info":"⋰*⋻225464421⨳⩥⨓NaN=NaN","layer":0}]}
{"id":349,"expression_no_base_symbol":"($2917$≭$6551$⩨($8268$⋷$1945$))⩷∴($1964$⋝⋈⪟$4126$)↬(∂$1820$)↺(≉(⪝⪂⫅$2416$)⋓(⨵≀≌$1119$))","expression":"(⋰*⋻2212≭⋰*⋻4A16⩨(⋰*⋻6237⋷⋰*⋻1509))⩷∴(⋰*⋻1526⋝⋈⪟⋰*⋻3111)↬(∂⋰*⋻1405)↺(≉(⪝⪂⫅⋰*⋻18A7)⋓(⨵≀≌⋰*⋻928))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":189,"operation_count":12,"complexity_ratio":15.75,"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":2917,"base":11},"right_expr":{"type":"numeric_atoms","value":6551,"base":11}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":8268,"base":11},"right_expr":{"type":"numeric_atoms","value":1945,"base":11}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1964,"base":11},"right_expr":{"type":"numeric_atoms","value":4126,"base":11}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1820,"base":11}}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":2416,"base":11}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1119,"base":11}}}}},"used_operators":["7j4O788W3g","9FxExcQeMw","2DlMacCsIx","rxpJgHHUmx","23Mk6UjR3U","B5M0gjZbta","2DDjHMKMc0","Uaa54Peajs","e1ybzncUwg","T2fj7uvVaJ","XTarYq4gQB","srAu1WTS94"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9HNa5Wba9A","8w2t5hMYqp","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"⋰*⋻443","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2917","layer":4},{"info":"number node, value=6551","layer":4},{"info":"compute binary expreesion, left_input=2917, right_input=6551, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=8268","layer":4},{"info":"number node, value=1945","layer":4},{"info":"compute binary expreesion, left_input=8268, right_input=1945, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-4378","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4378, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"number node, value=1964","layer":4},{"info":"number node, value=4126","layer":4},{"info":"compute binary expreesion, left_input=1964, right_input=4126, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1964","layer":3},{"info":"number node, value=1820","layer":4},{"info":"compute unary expreesion, input=1820, 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=1964, 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 = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"number node, value=2416","layer":4},{"info":"compute unary expreesion, input=2416, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-355152","layer":3},{"info":"number node, value=1119","layer":4},{"info":"compute unary expreesion, input=1119, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3357","layer":3},{"info":"compute binary expreesion, left_input=-355152, right_input=-3357, op_id = T2fj7uvVaJ binary_op_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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=531","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=531, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=531","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻2212≭⋰*⋻4A16⩨(⋰*⋻6237⋷⋰*⋻1509))⩷∴(⋰*⋻1526⋝⋈⪟⋰*⋻3111)↬(∂⋰*⋻1405)↺(≉(⪝⪂⫅⋰*⋻18A7)⋓(⨵≀≌⋰*⋻928))=⋰*⋻443","reverse_text":"⋰*⋻443=(⋰*⋻2212≭⋰*⋻4A16⩨(⋰*⋻6237⋷⋰*⋻1509))⩷∴(⋰*⋻1526⋝⋈⪟⋰*⋻3111)↬(∂⋰*⋻1405)↺(≉(⪝⪂⫅⋰*⋻18A7)⋓(⨵≀≌⋰*⋻928))","cot":[{"info":"⋰*⋻2212≭⋰*⋻4A16=NaN","layer":3},{"info":"⋰*⋻6237⋷⋰*⋻1509=⋰*⋻-3320","layer":3},{"info":"NaN⩨⋰*⋻-3320=NaN","layer":2},{"info":"⋰*⋻1526⋝⋈⪟⋰*⋻3111=⋰*⋻1526","layer":3},{"info":"∂⋰*⋻1405=NaN","layer":3},{"info":"⋰*⋻1526↬NaN=NaN","layer":2},{"info":"NaN⩷∴NaN=NaN","layer":1},{"info":"⪝⪂⫅⋰*⋻18A7=⋰*⋻-222916","layer":3},{"info":"⨵≀≌⋰*⋻928=⋰*⋻-2582","layer":3},{"info":"⋰*⋻-222916⋓⋰*⋻-2582=⋰*⋻0","layer":2},{"info":"≉⋰*⋻0=⋰*⋻443","layer":1},{"info":"NaN↺⋰*⋻443=⋰*⋻443","layer":0}]}
{"id":350,"expression_no_base_symbol":"⫛⫱⨽((↩(⋗⩬⋾$1657$))≣⋋)","expression":"⫛⫱⨽((↩(⋗⩬⋾⋰*⋻1277))≣⋋)","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1449,"operation_count":4,"complexity_ratio":362.25,"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":1657,"base":11}}}}},"used_operators":["DlLNRPXxWL","Tcnh7f0tEr","jLgFTUHLKL","DpFCA1CohY"],"dependent_operators":["rGHVDoGpnC","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1657","layer":4},{"info":"compute unary expreesion, input=1657, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-4971","layer":3},{"info":"compute unary expreesion, input=-4971, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=22504","layer":2},{"info":"compute unary expreesion, input=22504, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":0}],"base":11,"result_base":11,"text":"⫛⫱⨽((↩(⋗⩬⋾⋰*⋻1277))≣⋋)=⋰*⋻0","reverse_text":"⋰*⋻0=⫛⫱⨽((↩(⋗⩬⋾⋰*⋻1277))≣⋋)","cot":[{"info":"⋗⩬⋾⋰*⋻1277=⋰*⋻-380A","layer":3},{"info":"↩⋰*⋻-380A=⋰*⋻159A9","layer":2},{"info":"⋰*⋻159A9≣⋋=⋰*⋻0","layer":1},{"info":"⫛⫱⨽⋰*⋻0=⋰*⋻0","layer":0}]}
{"id":351,"expression_no_base_symbol":"(((⨈⫕$6036$)+$3340$⊴$1273$)⨪↰⇹(($5324$↙$1470$)⋥≓≎(⫛⫱⨽$1298$)))∼(↽≂($2033$⋥≓≎$3387$)⨽($1957$⇋≉))","expression":"(((⨈⫕⋰*⋻4598)+⋰*⋻2567⊴⋰*⋻A58)⨪↰⇹((⋰*⋻4000↙⋰*⋻1117)⋥≓≎(⫛⫱⨽⋰*⋻A80)))∼(↽≂(⋰*⋻1589⋥≓≎⋰*⋻25AA)⨽(⋰*⋻151A⇋≉))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":9685,"operation_count":12,"complexity_ratio":807.0833333333334,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":6036,"base":11}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3340,"base":11},"right_expr":{"type":"numeric_atoms","value":1273,"base":11}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":5324,"base":11},"right_expr":{"type":"numeric_atoms","value":1470,"base":11}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1298,"base":11}}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2033,"base":11},"right_expr":{"type":"numeric_atoms","value":3387,"base":11}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1957,"base":11}}}}},"used_operators":["DyGG3AbaNP","tmPS8pqC7x","W4YGzv6Whe","megm06wKyl","Nsiff2A1zJ","Qy55tPpLXF","yyfyN0ffXY","DlLNRPXxWL","u6S6b8DprG","8HhzD0ZcuI","XIabStNQrY"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rJVOvQCfKK","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6036","layer":4},{"info":"compute unary expreesion, input=6036, op_id = 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=3340","layer":4},{"info":"number node, value=1273","layer":4},{"info":"compute binary expreesion, left_input=3340, right_input=1273, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=5324","layer":4},{"info":"number node, value=1470","layer":4},{"info":"compute binary expreesion, left_input=5324, right_input=1470, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4410","layer":3},{"info":"number node, value=1298","layer":4},{"info":"compute unary expreesion, input=1298, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-4410, right_input=0, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"number node, value=2033","layer":4},{"info":"number node, value=3387","layer":4},{"info":"compute binary expreesion, left_input=2033, right_input=3387, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=4774","layer":3},{"info":"number node, value=1957","layer":4},{"info":"compute unary expreesion, input=1957, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=3816","layer":3},{"info":"compute binary expreesion, left_input=4774, right_input=3816, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-68383362","layer":2},{"info":"compute unary expreesion, input=-68383362, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=136766724","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=136766724, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((⨈⫕⋰*⋻4598)+⋰*⋻2567⊴⋰*⋻A58)⨪↰⇹((⋰*⋻4000↙⋰*⋻1117)⋥≓≎(⫛⫱⨽⋰*⋻A80)))∼(↽≂(⋰*⋻1589⋥≓≎⋰*⋻25AA)⨽(⋰*⋻151A⇋≉))=NaN","reverse_text":"NaN=(((⨈⫕⋰*⋻4598)+⋰*⋻2567⊴⋰*⋻A58)⨪↰⇹((⋰*⋻4000↙⋰*⋻1117)⋥≓≎(⫛⫱⨽⋰*⋻A80)))∼(↽≂(⋰*⋻1589⋥≓≎⋰*⋻25AA)⨽(⋰*⋻151A⇋≉))","cot":[{"info":"⨈⫕⋰*⋻4598=⋰*⋻-1A","layer":3},{"info":"⋰*⋻2567⊴⋰*⋻A58=NaN","layer":3},{"info":"⋰*⋻-1A+NaN=NaN","layer":2},{"info":"⋰*⋻4000↙⋰*⋻1117=⋰*⋻-334A","layer":3},{"info":"⫛⫱⨽⋰*⋻A80=⋰*⋻0","layer":3},{"info":"⋰*⋻-334A⋥≓≎⋰*⋻0=⋰*⋻61","layer":2},{"info":"NaN⨪↰⇹⋰*⋻61=NaN","layer":1},{"info":"⋰*⋻1589⋥≓≎⋰*⋻25AA=⋰*⋻3650","layer":3},{"info":"⋰*⋻151A⇋≉=⋰*⋻295A","layer":3},{"info":"⋰*⋻3650⨽⋰*⋻295A=⋰*⋻-35667483","layer":2},{"info":"↽≂⋰*⋻-35667483=⋰*⋻70223956","layer":1},{"info":"NaN∼⋰*⋻70223956=NaN","layer":0}]}
{"id":352,"expression_no_base_symbol":"((≦∁$4408$)⨪↰⇹(↩$3587$)⋷(⨞⊢$8264$)⨽($4611$%$3252$))⪢(($5305$⨰$1309$/$6517$⩨$3397$)⪐)","expression":"((≦∁⋰*⋻3348)⨪↰⇹(↩⋰*⋻2771)⋷(⨞⊢⋰*⋻6233)⨽(⋰*⋻3512%⋰*⋻2497))⪢((⋰*⋻3A93⨰⋰*⋻A90/⋰*⋻4995⩨⋰*⋻2609)⪐)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":12892,"operation_count":12,"complexity_ratio":1074.3333333333333,"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":4408,"base":11}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":3587,"base":11}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":8264,"base":11}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4611,"base":11},"right_expr":{"type":"numeric_atoms","value":3252,"base":11}}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":5305,"base":11},"right_expr":{"type":"numeric_atoms","value":1309,"base":11}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":6517,"base":11},"right_expr":{"type":"numeric_atoms","value":3397,"base":11}}}}},"used_operators":["dWAJyo7jo9","23Mk6UjR3U","tmPS8pqC7x","9ICcGScMcE","jLgFTUHLKL","8HhzD0ZcuI","xUOZtlo3hN","k8jYdgA6NY","eH2TOUuTDT","XhwjNDsVaA","eewbuw0ToL","2DlMacCsIx"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4408","layer":4},{"info":"compute unary expreesion, input=4408, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=4408","layer":3},{"info":"number node, value=3587","layer":4},{"info":"compute unary expreesion, input=3587, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-25916","layer":3},{"info":"compute binary expreesion, left_input=4408, right_input=-25916, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=4408","layer":2},{"info":"number node, value=8264","layer":4},{"info":"compute unary expreesion, input=8264, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-8438","layer":3},{"info":"number node, value=4611","layer":4},{"info":"number node, value=3252","layer":4},{"info":"compute binary expreesion, left_input=4611, right_input=3252, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1359","layer":3},{"info":"compute binary expreesion, left_input=-8438, right_input=1359, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-213602295","layer":2},{"info":"compute binary expreesion, left_input=4408, right_input=-213602295, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-427208998","layer":1},{"info":"number node, value=5305","layer":4},{"info":"number node, value=1309","layer":4},{"info":"compute binary expreesion, left_input=5305, right_input=1309, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=4006","layer":3},{"info":"number node, value=6517","layer":4},{"info":"number node, value=3397","layer":4},{"info":"compute binary expreesion, left_input=6517, right_input=3397, 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=4006, right_input=0, op_id = XhwjNDsVaA binary_op_definition= 'None', 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=-427208998, 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":11,"result_base":11,"text":"((≦∁⋰*⋻3348)⨪↰⇹(↩⋰*⋻2771)⋷(⨞⊢⋰*⋻6233)⨽(⋰*⋻3512%⋰*⋻2497))⪢((⋰*⋻3A93⨰⋰*⋻A90/⋰*⋻4995⩨⋰*⋻2609)⪐)=NaN","reverse_text":"NaN=((≦∁⋰*⋻3348)⨪↰⇹(↩⋰*⋻2771)⋷(⨞⊢⋰*⋻6233)⨽(⋰*⋻3512%⋰*⋻2497))⪢((⋰*⋻3A93⨰⋰*⋻A90/⋰*⋻4995⩨⋰*⋻2609)⪐)","cot":[{"info":"≦∁⋰*⋻3348=⋰*⋻3348","layer":3},{"info":"↩⋰*⋻2771=⋰*⋻-18520","layer":3},{"info":"⋰*⋻3348⨪↰⇹⋰*⋻-18520=⋰*⋻3348","layer":2},{"info":"⨞⊢⋰*⋻6233=⋰*⋻-6381","layer":3},{"info":"⋰*⋻3512%⋰*⋻2497=⋰*⋻1026","layer":3},{"info":"⋰*⋻-6381⨽⋰*⋻1026=⋰*⋻-AA633625","layer":2},{"info":"⋰*⋻3348⋷⋰*⋻-AA633625=⋰*⋻-1AA16A497","layer":1},{"info":"⋰*⋻3A93⨰⋰*⋻A90=⋰*⋻3012","layer":3},{"info":"⋰*⋻4995⩨⋰*⋻2609=⋰*⋻0","layer":3},{"info":"⋰*⋻3012/⋰*⋻0=NaN","layer":2},{"info":"NaN⪐=NaN","layer":1},{"info":"⋰*⋻-1AA16A497⪢NaN=NaN","layer":0}]}
{"id":353,"expression_no_base_symbol":"(⨞⊢(($3182$⩤)↺($1476$*$2979$)))∸","expression":"(⨞⊢((⋰*⋻2433⩤)↺(⋰*⋻1122*⋰*⋻2269)))∸","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1658,"operation_count":5,"complexity_ratio":331.6,"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":3182,"base":11}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1476,"base":11},"right_expr":{"type":"numeric_atoms","value":2979,"base":11}}}}},"used_operators":["o20kRiQErp","xUOZtlo3hN","7j4O788W3g","Z2TMIBDE3Q","9HNa5Wba9A"],"dependent_operators":["tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"⋰*⋻151","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3182","layer":4},{"info":"compute unary expreesion, input=3182, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-3182","layer":3},{"info":"number node, value=1476","layer":4},{"info":"number node, value=2979","layer":4},{"info":"compute binary expreesion, left_input=1476, right_input=2979, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4397004","layer":3},{"info":"compute binary expreesion, left_input=-3182, right_input=4397004, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4397004","layer":2},{"info":"compute unary expreesion, input=4397004, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-4397178","layer":1},{"info":"compute unary expreesion, input=-4397178, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":0}],"base":11,"result_base":11,"text":"(⨞⊢((⋰*⋻2433⩤)↺(⋰*⋻1122*⋰*⋻2269)))∸=⋰*⋻151","reverse_text":"⋰*⋻151=(⨞⊢((⋰*⋻2433⩤)↺(⋰*⋻1122*⋰*⋻2269)))∸","cot":[{"info":"⋰*⋻2433⩤=⋰*⋻-2433","layer":3},{"info":"⋰*⋻1122*⋰*⋻2269=⋰*⋻2533597","layer":3},{"info":"⋰*⋻-2433↺⋰*⋻2533597=⋰*⋻2533597","layer":2},{"info":"⨞⊢⋰*⋻2533597=⋰*⋻-2533735","layer":1},{"info":"⋰*⋻-2533735∸=⋰*⋻151","layer":0}]}
{"id":354,"expression_no_base_symbol":"(($1481$+$7062$⫡⨏$8570$⪢$2817$)⨁⊸⫻)≎⊠⪸(≤/$5049$⪛$1186$)≧⫂∧(($3708$⨎$3145$)⩚⊴⇥($4702$≋⫹))","expression":"((⋰*⋻1127+⋰*⋻5340⫡⨏⋰*⋻6491⪢⋰*⋻2131)⨁⊸⫻)≎⊠⪸(≤/⋰*⋻3880⪛⋰*⋻989)≧⫂∧((⋰*⋻2871⨎⋰*⋻23AA)⩚⊴⇥(⋰*⋻3595≋⫹))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7211,"operation_count":11,"complexity_ratio":655.5454545454545,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1481,"base":11},"right_expr":{"type":"numeric_atoms","value":7062,"base":11}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":8570,"base":11},"right_expr":{"type":"numeric_atoms","value":2817,"base":11}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":5049,"base":11},"right_expr":{"type":"numeric_atoms","value":1186,"base":11}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3708,"base":11},"right_expr":{"type":"numeric_atoms","value":3145,"base":11}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":4702,"base":11}}}}},"used_operators":["bJkvcejdHO","glklzrTFfD","QMFrweE19q","W4YGzv6Whe","dWAJyo7jo9","Ph9nP6C5qx","eLAdDNolq6","uFcxV4UQCh","NTOWxs364D","rJVOvQCfKK","N41Kp7NANJ"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1481","layer":4},{"info":"number node, value=7062","layer":4},{"info":"compute binary expreesion, left_input=1481, right_input=7062, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8543","layer":3},{"info":"number node, value=8570","layer":4},{"info":"number node, value=2817","layer":4},{"info":"compute binary expreesion, left_input=8570, right_input=2817, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=8543, 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 = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=nan","layer":1},{"info":"number node, value=5049","layer":4},{"info":"number node, value=1186","layer":4},{"info":"compute binary expreesion, left_input=5049, right_input=1186, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=305","layer":3},{"info":"compute unary expreesion, input=305, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=179","layer":2},{"info":"number node, value=3708","layer":4},{"info":"number node, value=3145","layer":4},{"info":"compute binary expreesion, left_input=3708, right_input=3145, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3145","layer":3},{"info":"number node, value=4702","layer":4},{"info":"compute unary expreesion, input=4702, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-9404","layer":3},{"info":"compute binary expreesion, left_input=3145, right_input=-9404, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=6138","layer":2},{"info":"compute binary expreesion, left_input=179, right_input=6138, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5665","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=5665, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1127+⋰*⋻5340⫡⨏⋰*⋻6491⪢⋰*⋻2131)⨁⊸⫻)≎⊠⪸(≤/⋰*⋻3880⪛⋰*⋻989)≧⫂∧((⋰*⋻2871⨎⋰*⋻23AA)⩚⊴⇥(⋰*⋻3595≋⫹))=NaN","reverse_text":"NaN=((⋰*⋻1127+⋰*⋻5340⫡⨏⋰*⋻6491⪢⋰*⋻2131)⨁⊸⫻)≎⊠⪸(≤/⋰*⋻3880⪛⋰*⋻989)≧⫂∧((⋰*⋻2871⨎⋰*⋻23AA)⩚⊴⇥(⋰*⋻3595≋⫹))","cot":[{"info":"⋰*⋻1127+⋰*⋻5340=⋰*⋻6467","layer":3},{"info":"⋰*⋻6491⪢⋰*⋻2131=NaN","layer":3},{"info":"⋰*⋻6467⫡⨏NaN=NaN","layer":2},{"info":"NaN⨁⊸⫻=NaN","layer":1},{"info":"⋰*⋻3880⪛⋰*⋻989=⋰*⋻258","layer":3},{"info":"≤/⋰*⋻258=⋰*⋻153","layer":2},{"info":"⋰*⋻2871⨎⋰*⋻23AA=⋰*⋻23AA","layer":3},{"info":"⋰*⋻3595≋⫹=⋰*⋻-707A","layer":3},{"info":"⋰*⋻23AA⩚⊴⇥⋰*⋻-707A=⋰*⋻4680","layer":2},{"info":"⋰*⋻153≧⫂∧⋰*⋻4680=⋰*⋻4290","layer":1},{"info":"NaN≎⊠⪸⋰*⋻4290=NaN","layer":0}]}
{"id":355,"expression_no_base_symbol":"((($7599$↺$1238$)⨽($5114$-$8077$))⩠)⨐⩸⫘($3064$⋓$1109$↙$1800$⪛$5479$⨸⪁$1149$⨰$2094$⩷∴($9093$⩷∴$2920$))","expression":"(((⋰*⋻5789↺⋰*⋻A26)⨽(⋰*⋻392A-⋰*⋻6083))⩠)⨐⩸⫘(⋰*⋻2336⋓⋰*⋻919↙⋰*⋻1397⪛⋰*⋻4131⨸⪁⋰*⋻955⨰⋰*⋻1634⩷∴(⋰*⋻6917⩷∴⋰*⋻2215))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1307,"operation_count":12,"complexity_ratio":108.91666666666667,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":7599,"base":11},"right_expr":{"type":"numeric_atoms","value":1238,"base":11}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":5114,"base":11},"right_expr":{"type":"numeric_atoms","value":8077,"base":11}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3064,"base":11},"right_expr":{"type":"numeric_atoms","value":1109,"base":11}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1800,"base":11},"right_expr":{"type":"numeric_atoms","value":5479,"base":11}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1149,"base":11},"right_expr":{"type":"numeric_atoms","value":2094,"base":11}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":9093,"base":11},"right_expr":{"type":"numeric_atoms","value":2920,"base":11}}}}},"used_operators":["fu6greOZ01","sJAwomhLZr","8HhzD0ZcuI","7j4O788W3g","rysDP5nf3Z","g55IO6H4Gj","yyfyN0ffXY","T2fj7uvVaJ","uFcxV4UQCh","9FxExcQeMw","eewbuw0ToL"],"dependent_operators":["3ViojmjbAp","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7599","layer":4},{"info":"number node, value=1238","layer":4},{"info":"compute binary expreesion, left_input=7599, right_input=1238, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1238","layer":3},{"info":"number node, value=5114","layer":4},{"info":"number node, value=8077","layer":4},{"info":"compute binary expreesion, left_input=5114, right_input=8077, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-2963","layer":3},{"info":"compute binary expreesion, left_input=1238, right_input=-2963, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-4587729","layer":2},{"info":"compute unary expreesion, input=-4587729, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=18351125","layer":1},{"info":"number node, value=3064","layer":4},{"info":"number node, value=1109","layer":4},{"info":"compute binary expreesion, left_input=3064, right_input=1109, op_id = T2fj7uvVaJ binary_op_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=1800","layer":4},{"info":"number node, value=5479","layer":4},{"info":"compute binary expreesion, left_input=1800, right_input=5479, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1800","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1800, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":2},{"info":"number node, value=1149","layer":4},{"info":"number node, value=2094","layer":4},{"info":"compute binary expreesion, left_input=1149, right_input=2094, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-935","layer":3},{"info":"number node, value=9093","layer":4},{"info":"number node, value=2920","layer":4},{"info":"compute binary expreesion, left_input=9093, right_input=2920, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=12314","layer":3},{"info":"compute binary expreesion, left_input=-935, right_input=12314, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-26530","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-26530, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-53060","layer":1},{"info":"compute binary expreesion, left_input=18351125, right_input=-53060, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻5789↺⋰*⋻A26)⨽(⋰*⋻392A-⋰*⋻6083))⩠)⨐⩸⫘(⋰*⋻2336⋓⋰*⋻919↙⋰*⋻1397⪛⋰*⋻4131⨸⪁⋰*⋻955⨰⋰*⋻1634⩷∴(⋰*⋻6917⩷∴⋰*⋻2215))=NaN","reverse_text":"NaN=(((⋰*⋻5789↺⋰*⋻A26)⨽(⋰*⋻392A-⋰*⋻6083))⩠)⨐⩸⫘(⋰*⋻2336⋓⋰*⋻919↙⋰*⋻1397⪛⋰*⋻4131⨸⪁⋰*⋻955⨰⋰*⋻1634⩷∴(⋰*⋻6917⩷∴⋰*⋻2215))","cot":[{"info":"⋰*⋻5789↺⋰*⋻A26=⋰*⋻A26","layer":3},{"info":"⋰*⋻392A-⋰*⋻6083=⋰*⋻-2254","layer":3},{"info":"⋰*⋻A26⨽⋰*⋻-2254=⋰*⋻-2653913","layer":2},{"info":"⋰*⋻-2653913⩠=⋰*⋻A3A4521","layer":1},{"info":"⋰*⋻2336⋓⋰*⋻919=⋰*⋻0","layer":3},{"info":"⋰*⋻1397⪛⋰*⋻4131=⋰*⋻1397","layer":3},{"info":"⋰*⋻0↙⋰*⋻1397=⋰*⋻0","layer":2},{"info":"⋰*⋻955⨰⋰*⋻1634=⋰*⋻-780","layer":3},{"info":"⋰*⋻6917⩷∴⋰*⋻2215=⋰*⋻9285","layer":3},{"info":"⋰*⋻-780⩷∴⋰*⋻9285=⋰*⋻-18A29","layer":2},{"info":"⋰*⋻0⨸⪁⋰*⋻-18A29=⋰*⋻-36957","layer":1},{"info":"⋰*⋻A3A4521⨐⩸⫘⋰*⋻-36957=NaN","layer":0}]}
{"id":356,"expression_no_base_symbol":"((($4227$⫥∨⫟$5753$)⪮%⊝($6191$⪠⩆⊳))∧)≎⊠⪸(≤/(⊥$1120$)⨟⋌⩍(⨑⩽⪐$1783$))","expression":"(((⋰*⋻31A3⫥∨⫟⋰*⋻4360)⪮%⊝(⋰*⋻4719⪠⩆⊳))∧)≎⊠⪸(≤/(⊥⋰*⋻929)⨟⋌⩍(⨑⩽⪐⋰*⋻1381))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":195,"operation_count":9,"complexity_ratio":21.666666666666668,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":4227,"base":11},"right_expr":{"type":"numeric_atoms","value":5753,"base":11}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":6191,"base":11}}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1120,"base":11}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1783,"base":11}}}}},"used_operators":["bJkvcejdHO","z63VuFQld9","IWmyXbctLI","KYD54nUTWz","JLbD19bQDL","eLAdDNolq6","rGHVDoGpnC","Q3PJZHRvZv","AF7qkfDlqP"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Tcnh7f0tEr","fu6greOZ01","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"⋰*⋻61","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4227","layer":4},{"info":"number node, value=5753","layer":4},{"info":"compute binary expreesion, left_input=4227, right_input=5753, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=6191","layer":4},{"info":"compute unary expreesion, input=6191, 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 = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢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=1120","layer":4},{"info":"compute unary expreesion, input=1120, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=1783","layer":4},{"info":"compute unary expreesion, input=1783, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1510","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1510, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', 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":11,"result_base":11,"text":"(((⋰*⋻31A3⫥∨⫟⋰*⋻4360)⪮%⊝(⋰*⋻4719⪠⩆⊳))∧)≎⊠⪸(≤/(⊥⋰*⋻929)⨟⋌⩍(⨑⩽⪐⋰*⋻1381))=⋰*⋻61","reverse_text":"⋰*⋻61=(((⋰*⋻31A3⫥∨⫟⋰*⋻4360)⪮%⊝(⋰*⋻4719⪠⩆⊳))∧)≎⊠⪸(≤/(⊥⋰*⋻929)⨟⋌⩍(⨑⩽⪐⋰*⋻1381))","cot":[{"info":"⋰*⋻31A3⫥∨⫟⋰*⋻4360=NaN","layer":3},{"info":"⋰*⋻4719⪠⩆⊳=⋰*⋻0","layer":3},{"info":"NaN⪮%⊝⋰*⋻0=NaN","layer":2},{"info":"NaN∧=NaN","layer":1},{"info":"⊥⋰*⋻929=NaN","layer":3},{"info":"⨑⩽⪐⋰*⋻1381=⋰*⋻-1153","layer":3},{"info":"NaN⨟⋌⩍⋰*⋻-1153=NaN","layer":2},{"info":"≤/NaN=NaN","layer":1},{"info":"NaN≎⊠⪸NaN=⋰*⋻61","layer":0}]}
{"id":357,"expression_no_base_symbol":"($1697$⇷$3203$⇼⇔∾($1616$⨁⊸⫻))≧⫂∧($1167$⪄$4228$)∼(⨞⊢$3458$)≭(⨈⫕$1131$⪘⫢$9191$)⪛($7774$-$2643$⨵⪆$4185$⇷$3912$)","expression":"(⋰*⋻1303⇷⋰*⋻2452⇼⇔∾(⋰*⋻123A⨁⊸⫻))≧⫂∧(⋰*⋻971⪄⋰*⋻31A4)∼(⨞⊢⋰*⋻2664)≭(⨈⫕⋰*⋻939⪘⫢⋰*⋻69A6)⪛(⋰*⋻5928-⋰*⋻1A93⨵⪆⋰*⋻3165⇷⋰*⋻2A37)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":86512,"operation_count":14,"complexity_ratio":6179.428571428572,"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":1697,"base":11},"right_expr":{"type":"numeric_atoms","value":3203,"base":11}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1616,"base":11}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1167,"base":11},"right_expr":{"type":"numeric_atoms","value":4228,"base":11}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":3458,"base":11}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1131,"base":11},"right_expr":{"type":"numeric_atoms","value":9191,"base":11}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":7774,"base":11},"right_expr":{"type":"numeric_atoms","value":2643,"base":11}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4185,"base":11},"right_expr":{"type":"numeric_atoms","value":3912,"base":11}}}}},"used_operators":["rxpJgHHUmx","Ph9nP6C5qx","tifHPKVTfV","mp7IySMOzn","glklzrTFfD","DyGG3AbaNP","SUmda5xLS4","xUOZtlo3hN","uFcxV4UQCh","megm06wKyl","oacrs7FA3X","2DQ55sFlQl","rysDP5nf3Z"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1697","layer":4},{"info":"number node, value=3203","layer":4},{"info":"compute binary expreesion, left_input=1697, right_input=3203, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6406","layer":3},{"info":"number node, value=1616","layer":4},{"info":"compute unary expreesion, input=1616, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1616","layer":3},{"info":"compute binary expreesion, left_input=6406, right_input=1616, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-4790","layer":2},{"info":"number node, value=1167","layer":4},{"info":"number node, value=4228","layer":4},{"info":"compute binary expreesion, left_input=1167, right_input=4228, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-185717","layer":3},{"info":"number node, value=3458","layer":4},{"info":"compute unary expreesion, input=3458, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-3632","layer":3},{"info":"compute binary expreesion, left_input=-185717, 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":2},{"info":"compute binary expreesion, left_input=-4790, 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=1131","layer":4},{"info":"number node, value=9191","layer":4},{"info":"compute binary expreesion, left_input=1131, right_input=9191, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2138","layer":3},{"info":"compute unary expreesion, input=2138, 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=7774","layer":4},{"info":"number node, value=2643","layer":4},{"info":"compute binary expreesion, left_input=7774, right_input=2643, op_id = rysDP5nf3Z binary_op_definition= 'None', output=5131","layer":3},{"info":"number node, value=4185","layer":4},{"info":"number node, value=3912","layer":4},{"info":"compute binary expreesion, left_input=4185, right_input=3912, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=7824","layer":3},{"info":"compute binary expreesion, left_input=5131, right_input=7824, 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=-21, right_input=160, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=139","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=139, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1303⇷⋰*⋻2452⇼⇔∾(⋰*⋻123A⨁⊸⫻))≧⫂∧(⋰*⋻971⪄⋰*⋻31A4)∼(⨞⊢⋰*⋻2664)≭(⨈⫕⋰*⋻939⪘⫢⋰*⋻69A6)⪛(⋰*⋻5928-⋰*⋻1A93⨵⪆⋰*⋻3165⇷⋰*⋻2A37)=NaN","reverse_text":"NaN=(⋰*⋻1303⇷⋰*⋻2452⇼⇔∾(⋰*⋻123A⨁⊸⫻))≧⫂∧(⋰*⋻971⪄⋰*⋻31A4)∼(⨞⊢⋰*⋻2664)≭(⨈⫕⋰*⋻939⪘⫢⋰*⋻69A6)⪛(⋰*⋻5928-⋰*⋻1A93⨵⪆⋰*⋻3165⇷⋰*⋻2A37)","cot":[{"info":"⋰*⋻1303⇷⋰*⋻2452=⋰*⋻48A4","layer":3},{"info":"⋰*⋻123A⨁⊸⫻=⋰*⋻123A","layer":3},{"info":"⋰*⋻48A4⇼⇔∾⋰*⋻123A=⋰*⋻-3665","layer":2},{"info":"⋰*⋻971⪄⋰*⋻31A4=⋰*⋻-117594","layer":3},{"info":"⨞⊢⋰*⋻2664=⋰*⋻-2802","layer":3},{"info":"⋰*⋻-117594∼⋰*⋻-2802=NaN","layer":2},{"info":"⋰*⋻-3665≧⫂∧NaN=NaN","layer":1},{"info":"⋰*⋻939⪘⫢⋰*⋻69A6=⋰*⋻1674","layer":3},{"info":"⨈⫕⋰*⋻1674=⋰*⋻-1A","layer":2},{"info":"⋰*⋻5928-⋰*⋻1A93=⋰*⋻3945","layer":3},{"info":"⋰*⋻3165⇷⋰*⋻2A37=⋰*⋻5973","layer":3},{"info":"⋰*⋻3945⨵⪆⋰*⋻5973=⋰*⋻136","layer":2},{"info":"⋰*⋻-1A⪛⋰*⋻136=⋰*⋻117","layer":1},{"info":"NaN≭⋰*⋻117=NaN","layer":0}]}
{"id":358,"expression_no_base_symbol":"((⋗⩬⋾$5081$)≣⋋)⨎(↽≂(+⊝⨔$2481$))⫌⩹⨱","expression":"((⋗⩬⋾⋰*⋻38AA)≣⋋)⨎(↽≂(+⊝⨔⋰*⋻1956))⫌⩹⨱","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":568,"operation_count":6,"complexity_ratio":94.66666666666667,"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":5081,"base":11}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2481,"base":11}}}}},"used_operators":["EBcxylXtPf","rJVOvQCfKK","Tcnh7f0tEr","DpFCA1CohY","u6S6b8DprG","DhbWaqg5eL"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"⋰*⋻-3581","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5081","layer":4},{"info":"compute unary expreesion, input=5081, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-15243","layer":3},{"info":"compute unary expreesion, input=-15243, 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=2481","layer":4},{"info":"compute unary expreesion, input=2481, 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 = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-3044","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-3044, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-3044","layer":1},{"info":"compute unary expreesion, input=-3044, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=-4687","layer":0}],"base":11,"result_base":11,"text":"((⋗⩬⋾⋰*⋻38AA)≣⋋)⨎(↽≂(+⊝⨔⋰*⋻1956))⫌⩹⨱=⋰*⋻-3581","reverse_text":"⋰*⋻-3581=((⋗⩬⋾⋰*⋻38AA)≣⋋)⨎(↽≂(+⊝⨔⋰*⋻1956))⫌⩹⨱","cot":[{"info":"⋗⩬⋾⋰*⋻38AA=⋰*⋻-104A8","layer":3},{"info":"⋰*⋻-104A8≣⋋=⋰*⋻0","layer":2},{"info":"+⊝⨔⋰*⋻1956=⋰*⋻1164","layer":3},{"info":"↽≂⋰*⋻1164=⋰*⋻-2318","layer":2},{"info":"⋰*⋻0⨎⋰*⋻-2318=⋰*⋻-2318","layer":1},{"info":"⋰*⋻-2318⫌⩹⨱=⋰*⋻-3581","layer":0}]}
{"id":359,"expression_no_base_symbol":"↔(↥(≉(⨰⫟⨤$2924$)))","expression":"↔(↥(≉(⨰⫟⨤⋰*⋻2219)))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":10880,"operation_count":4,"complexity_ratio":2720.0,"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":2924,"base":11}}}}},"used_operators":["ruOEQAzv1W","A8NUZmVepG","e1ybzncUwg","Tw270M8GLb"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"⋰*⋻-112","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=2924","layer":4},{"info":"compute unary expreesion, input=2924, 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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; 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 unary expreesion, input=nan, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":0}],"base":11,"result_base":11,"text":"↔(↥(≉(⨰⫟⨤⋰*⋻2219)))=⋰*⋻-112","reverse_text":"⋰*⋻-112=↔(↥(≉(⨰⫟⨤⋰*⋻2219)))","cot":[{"info":"⨰⫟⨤⋰*⋻2219=NaN","layer":3},{"info":"≉NaN=NaN","layer":2},{"info":"↥NaN=NaN","layer":1},{"info":"↔NaN=⋰*⋻-112","layer":0}]}
{"id":360,"expression_no_base_symbol":"⨞⊢($1522$↬$2693$⪒(⨵≀≌$1177$))⋓($2032$⨎$4289$⪨≂$1791$⋳⪒$8067$)","expression":"⨞⊢(⋰*⋻1164↬⋰*⋻2029⪒(⨵≀≌⋰*⋻980))⋓(⋰*⋻1588⨎⋰*⋻324A⪨≂⋰*⋻1389⋳⪒⋰*⋻6074)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":35,"operation_count":8,"complexity_ratio":4.375,"tree":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1522,"base":11},"right_expr":{"type":"numeric_atoms","value":2693,"base":11}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1177,"base":11}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2032,"base":11},"right_expr":{"type":"numeric_atoms","value":4289,"base":11}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1791,"base":11},"right_expr":{"type":"numeric_atoms","value":8067,"base":11}}}}},"used_operators":["xUOZtlo3hN","T2fj7uvVaJ","f6k1SAg4EE","B5M0gjZbta","srAu1WTS94","sdazOOVcIp","rJVOvQCfKK","12rbrZMWeM"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd"],"result":"⋰*⋻-149","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1522","layer":4},{"info":"number node, value=2693","layer":4},{"info":"compute binary expreesion, left_input=1522, right_input=2693, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1177","layer":4},{"info":"compute unary expreesion, input=1177, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3531","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3531, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=2032","layer":4},{"info":"number node, value=4289","layer":4},{"info":"compute binary expreesion, left_input=2032, right_input=4289, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4289","layer":3},{"info":"number node, value=1791","layer":4},{"info":"number node, value=8067","layer":4},{"info":"compute binary expreesion, left_input=1791, right_input=8067, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-4772","layer":3},{"info":"compute binary expreesion, left_input=4289, right_input=-4772, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=18224","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=18224, op_id = T2fj7uvVaJ binary_op_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 = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-174","layer":0}],"base":11,"result_base":11,"text":"⨞⊢(⋰*⋻1164↬⋰*⋻2029⪒(⨵≀≌⋰*⋻980))⋓(⋰*⋻1588⨎⋰*⋻324A⪨≂⋰*⋻1389⋳⪒⋰*⋻6074)=⋰*⋻-149","reverse_text":"⋰*⋻-149=⨞⊢(⋰*⋻1164↬⋰*⋻2029⪒(⨵≀≌⋰*⋻980))⋓(⋰*⋻1588⨎⋰*⋻324A⪨≂⋰*⋻1389⋳⪒⋰*⋻6074)","cot":[{"info":"⋰*⋻1164↬⋰*⋻2029=NaN","layer":3},{"info":"⨵≀≌⋰*⋻980=⋰*⋻-2720","layer":3},{"info":"NaN⪒⋰*⋻-2720=NaN","layer":2},{"info":"⋰*⋻1588⨎⋰*⋻324A=⋰*⋻324A","layer":3},{"info":"⋰*⋻1389⋳⪒⋰*⋻6074=⋰*⋻-3649","layer":3},{"info":"⋰*⋻324A⪨≂⋰*⋻-3649=⋰*⋻12768","layer":2},{"info":"NaN⋓⋰*⋻12768=⋰*⋻0","layer":1},{"info":"⨞⊢⋰*⋻0=⋰*⋻-149","layer":0}]}
{"id":361,"expression_no_base_symbol":"(($1335$∲⫓$1557$)⋓($6370$⋳⪒$4510$))⨓($1334$≋⫹)≹⇙⪍($2159$≦≮≮)⨽(((≉$1609$)+$1511$⇼⇔∾$1439$)⇋≉)","expression":"((⋰*⋻1004∲⫓⋰*⋻1196)⋓(⋰*⋻4871⋳⪒⋰*⋻3430))⨓(⋰*⋻1003≋⫹)≹⇙⪍(⋰*⋻1693≦≮≮)⨽(((≉⋰*⋻1233)+⋰*⋻1154⇼⇔∾⋰*⋻1099)⇋≉)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":54,"operation_count":12,"complexity_ratio":4.5,"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":1335,"base":11},"right_expr":{"type":"numeric_atoms","value":1557,"base":11}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":6370,"base":11},"right_expr":{"type":"numeric_atoms","value":4510,"base":11}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1334,"base":11}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":2159,"base":11}}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1609,"base":11}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1511,"base":11},"right_expr":{"type":"numeric_atoms","value":1439,"base":11}}}}},"used_operators":["8HhzD0ZcuI","3ViojmjbAp","T2fj7uvVaJ","i8ToyICDmI","12rbrZMWeM","AHs5Up7iyr","N41Kp7NANJ","D4vGDi5EA2","XIabStNQrY","W4YGzv6Whe","e1ybzncUwg","tifHPKVTfV"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1335","layer":4},{"info":"number node, value=1557","layer":4},{"info":"compute binary expreesion, left_input=1335, right_input=1557, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=6370","layer":4},{"info":"number node, value=4510","layer":4},{"info":"compute binary expreesion, left_input=6370, right_input=4510, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=7943","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=7943, op_id = T2fj7uvVaJ binary_op_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=1334","layer":4},{"info":"compute unary expreesion, input=1334, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2668","layer":3},{"info":"number node, value=2159","layer":4},{"info":"compute unary expreesion, input=2159, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-6477","layer":3},{"info":"compute binary expreesion, left_input=-2668, right_input=-6477, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"number node, value=1609","layer":4},{"info":"compute unary expreesion, input=1609, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2140","layer":3},{"info":"number node, value=1511","layer":4},{"info":"number node, value=1439","layer":4},{"info":"compute binary expreesion, left_input=1511, right_input=1439, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-72","layer":3},{"info":"compute binary expreesion, left_input=2140, right_input=-72, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2068","layer":2},{"info":"compute unary expreesion, input=2068, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=4038","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4038, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1004∲⫓⋰*⋻1196)⋓(⋰*⋻4871⋳⪒⋰*⋻3430))⨓(⋰*⋻1003≋⫹)≹⇙⪍(⋰*⋻1693≦≮≮)⨽(((≉⋰*⋻1233)+⋰*⋻1154⇼⇔∾⋰*⋻1099)⇋≉)=NaN","reverse_text":"NaN=((⋰*⋻1004∲⫓⋰*⋻1196)⋓(⋰*⋻4871⋳⪒⋰*⋻3430))⨓(⋰*⋻1003≋⫹)≹⇙⪍(⋰*⋻1693≦≮≮)⨽(((≉⋰*⋻1233)+⋰*⋻1154⇼⇔∾⋰*⋻1099)⇋≉)","cot":[{"info":"⋰*⋻1004∲⫓⋰*⋻1196=⋰*⋻0","layer":3},{"info":"⋰*⋻4871⋳⪒⋰*⋻3430=⋰*⋻5A71","layer":3},{"info":"⋰*⋻0⋓⋰*⋻5A71=⋰*⋻0","layer":2},{"info":"⋰*⋻1003≋⫹=⋰*⋻-2006","layer":3},{"info":"⋰*⋻1693≦≮≮=⋰*⋻-4959","layer":3},{"info":"⋰*⋻-2006≹⇙⪍⋰*⋻-4959=NaN","layer":2},{"info":"⋰*⋻0⨓NaN=NaN","layer":1},{"info":"≉⋰*⋻1233=⋰*⋻1676","layer":3},{"info":"⋰*⋻1154⇼⇔∾⋰*⋻1099=⋰*⋻-66","layer":3},{"info":"⋰*⋻1676+⋰*⋻-66=⋰*⋻1610","layer":2},{"info":"⋰*⋻1610⇋≉=⋰*⋻3041","layer":1},{"info":"NaN⨽⋰*⋻3041=NaN","layer":0}]}
{"id":362,"expression_no_base_symbol":"($2860$⫸⊐$4202$)∑⇟⊟($1019$⋷$4809$)≎⊠⪸$2568$⋓$1260$⨰($5538$≧⫂∧$3018$)⪒$1446$⋳⪒$2288$⋳⪒($2259$∲⫓$1179$)*($1008$≧⫂∧$5545$)⨪↰⇹$2582$⪛$7013$","expression":"(⋰*⋻2170⫸⊐⋰*⋻3180)∑⇟⊟(⋰*⋻847⋷⋰*⋻3682)≎⊠⪸⋰*⋻1A25⋓⋰*⋻A46⨰(⋰*⋻4185≧⫂∧⋰*⋻22A4)⪒⋰*⋻10A5⋳⪒⋰*⋻17A0⋳⪒(⋰*⋻1774∲⫓⋰*⋻982)*(⋰*⋻837≧⫂∧⋰*⋻4191)⨪↰⇹⋰*⋻1A38⪛⋰*⋻52A6","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5502,"operation_count":15,"complexity_ratio":366.8,"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":2860,"base":11},"right_expr":{"type":"numeric_atoms","value":4202,"base":11}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1019,"base":11},"right_expr":{"type":"numeric_atoms","value":4809,"base":11}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2568,"base":11},"right_expr":{"type":"numeric_atoms","value":1260,"base":11}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":5538,"base":11},"right_expr":{"type":"numeric_atoms","value":3018,"base":11}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1446,"base":11},"right_expr":{"type":"numeric_atoms","value":2288,"base":11}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2259,"base":11},"right_expr":{"type":"numeric_atoms","value":1179,"base":11}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1008,"base":11},"right_expr":{"type":"numeric_atoms","value":5545,"base":11}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2582,"base":11},"right_expr":{"type":"numeric_atoms","value":7013,"base":11}}}}},"used_operators":["f6k1SAg4EE","bJkvcejdHO","U7g4x0WXJJ","mqXw5SEYmG","23Mk6UjR3U","eewbuw0ToL","T2fj7uvVaJ","Ph9nP6C5qx","9HNa5Wba9A","12rbrZMWeM","i8ToyICDmI","tmPS8pqC7x","uFcxV4UQCh"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⋰*⋻-AA2397","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2860","layer":4},{"info":"number node, value=4202","layer":4},{"info":"compute binary expreesion, left_input=2860, right_input=4202, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=16683","layer":3},{"info":"number node, value=1019","layer":4},{"info":"number node, value=4809","layer":4},{"info":"compute binary expreesion, left_input=1019, right_input=4809, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=8599","layer":3},{"info":"compute binary expreesion, left_input=16683, right_input=8599, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=2568","layer":4},{"info":"number node, value=1260","layer":4},{"info":"compute binary expreesion, left_input=2568, right_input=1260, op_id = T2fj7uvVaJ binary_op_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=5538","layer":4},{"info":"number node, value=3018","layer":4},{"info":"compute binary expreesion, left_input=5538, right_input=3018, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2545","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2545, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2535","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2535, 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=1446","layer":4},{"info":"number node, value=2288","layer":4},{"info":"compute binary expreesion, left_input=1446, right_input=2288, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=317","layer":3},{"info":"number node, value=2259","layer":4},{"info":"number node, value=1179","layer":4},{"info":"compute binary expreesion, left_input=2259, right_input=1179, 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=317, right_input=0, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=347","layer":2},{"info":"number node, value=1008","layer":4},{"info":"number node, value=5545","layer":4},{"info":"compute binary expreesion, left_input=1008, right_input=5545, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5072","layer":3},{"info":"number node, value=2582","layer":4},{"info":"number node, value=7013","layer":4},{"info":"compute binary expreesion, left_input=2582, right_input=7013, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2582","layer":3},{"info":"compute binary expreesion, left_input=5072, right_input=2582, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=5072","layer":2},{"info":"compute binary expreesion, left_input=347, right_input=5072, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=1759984","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=1759984, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-1760051","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻2170⫸⊐⋰*⋻3180)∑⇟⊟(⋰*⋻847⋷⋰*⋻3682)≎⊠⪸⋰*⋻1A25⋓⋰*⋻A46⨰(⋰*⋻4185≧⫂∧⋰*⋻22A4)⪒⋰*⋻10A5⋳⪒⋰*⋻17A0⋳⪒(⋰*⋻1774∲⫓⋰*⋻982)*(⋰*⋻837≧⫂∧⋰*⋻4191)⨪↰⇹⋰*⋻1A38⪛⋰*⋻52A6=⋰*⋻-AA2397","reverse_text":"⋰*⋻-AA2397=(⋰*⋻2170⫸⊐⋰*⋻3180)∑⇟⊟(⋰*⋻847⋷⋰*⋻3682)≎⊠⪸⋰*⋻1A25⋓⋰*⋻A46⨰(⋰*⋻4185≧⫂∧⋰*⋻22A4)⪒⋰*⋻10A5⋳⪒⋰*⋻17A0⋳⪒(⋰*⋻1774∲⫓⋰*⋻982)*(⋰*⋻837≧⫂∧⋰*⋻4191)⨪↰⇹⋰*⋻1A38⪛⋰*⋻52A6","cot":[{"info":"⋰*⋻2170⫸⊐⋰*⋻3180=⋰*⋻11597","layer":3},{"info":"⋰*⋻847⋷⋰*⋻3682=⋰*⋻6508","layer":3},{"info":"⋰*⋻11597∑⇟⊟⋰*⋻6508=NaN","layer":2},{"info":"⋰*⋻1A25⋓⋰*⋻A46=⋰*⋻0","layer":3},{"info":"⋰*⋻4185≧⫂∧⋰*⋻22A4=⋰*⋻1A04","layer":3},{"info":"⋰*⋻0⨰⋰*⋻1A04=⋰*⋻-19A5","layer":2},{"info":"NaN≎⊠⪸⋰*⋻-19A5=⋰*⋻61","layer":1},{"info":"⋰*⋻10A5⋳⪒⋰*⋻17A0=⋰*⋻269","layer":3},{"info":"⋰*⋻1774∲⫓⋰*⋻982=⋰*⋻0","layer":3},{"info":"⋰*⋻269⋳⪒⋰*⋻0=⋰*⋻296","layer":2},{"info":"⋰*⋻837≧⫂∧⋰*⋻4191=⋰*⋻38A1","layer":3},{"info":"⋰*⋻1A38⪛⋰*⋻52A6=⋰*⋻1A38","layer":3},{"info":"⋰*⋻38A1⨪↰⇹⋰*⋻1A38=⋰*⋻38A1","layer":2},{"info":"⋰*⋻296*⋰*⋻38A1=⋰*⋻AA2336","layer":1},{"info":"⋰*⋻61⪒⋰*⋻AA2336=⋰*⋻-AA2397","layer":0}]}
{"id":363,"expression_no_base_symbol":"(($1394$⨵⪆$1104$)≹⇙⪍(↽≂$1783$)⨰($3841$⋳⪒$1363$⋳⪒($1688$/$1260$)))⨪↰⇹(↽≂(⋗⩬⋾($3631$↙$2204$)))","expression":"((⋰*⋻1058⨵⪆⋰*⋻914)≹⇙⪍(↽≂⋰*⋻1381)⨰(⋰*⋻2982⋳⪒⋰*⋻102A⋳⪒(⋰*⋻12A5/⋰*⋻A46)))⨪↰⇹(↽≂(⋗⩬⋾(⋰*⋻2801↙⋰*⋻1724)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2240,"operation_count":11,"complexity_ratio":203.63636363636363,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1394,"base":11},"right_expr":{"type":"numeric_atoms","value":1104,"base":11}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1783,"base":11}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3841,"base":11},"right_expr":{"type":"numeric_atoms","value":1363,"base":11}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1688,"base":11},"right_expr":{"type":"numeric_atoms","value":1260,"base":11}}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3631,"base":11},"right_expr":{"type":"numeric_atoms","value":2204,"base":11}}}}},"used_operators":["tmPS8pqC7x","eewbuw0ToL","AHs5Up7iyr","2DQ55sFlQl","u6S6b8DprG","12rbrZMWeM","XhwjNDsVaA","DpFCA1CohY","yyfyN0ffXY"],"dependent_operators":["rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1394","layer":4},{"info":"number node, value=1104","layer":4},{"info":"compute binary expreesion, left_input=1394, right_input=1104, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1783","layer":4},{"info":"compute unary expreesion, input=1783, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-3566","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-3566, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=3841","layer":4},{"info":"number node, value=1363","layer":4},{"info":"compute binary expreesion, left_input=3841, right_input=1363, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=6032","layer":3},{"info":"number node, value=1688","layer":4},{"info":"number node, value=1260","layer":4},{"info":"compute binary expreesion, left_input=1688, right_input=1260, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=6032, right_input=1, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=11776","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=11776, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"number node, value=3631","layer":4},{"info":"number node, value=2204","layer":4},{"info":"compute binary expreesion, left_input=3631, right_input=2204, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-6612","layer":3},{"info":"compute unary expreesion, input=-6612, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=19836","layer":2},{"info":"compute unary expreesion, input=19836, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-39672","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-39672, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1058⨵⪆⋰*⋻914)≹⇙⪍(↽≂⋰*⋻1381)⨰(⋰*⋻2982⋳⪒⋰*⋻102A⋳⪒(⋰*⋻12A5/⋰*⋻A46)))⨪↰⇹(↽≂(⋗⩬⋾(⋰*⋻2801↙⋰*⋻1724)))=NaN","reverse_text":"NaN=((⋰*⋻1058⨵⪆⋰*⋻914)≹⇙⪍(↽≂⋰*⋻1381)⨰(⋰*⋻2982⋳⪒⋰*⋻102A⋳⪒(⋰*⋻12A5/⋰*⋻A46)))⨪↰⇹(↽≂(⋗⩬⋾(⋰*⋻2801↙⋰*⋻1724)))","cot":[{"info":"⋰*⋻1058⨵⪆⋰*⋻914=⋰*⋻136","layer":3},{"info":"↽≂⋰*⋻1381=⋰*⋻-2752","layer":3},{"info":"⋰*⋻136≹⇙⪍⋰*⋻-2752=NaN","layer":2},{"info":"⋰*⋻2982⋳⪒⋰*⋻102A=⋰*⋻4594","layer":3},{"info":"⋰*⋻12A5/⋰*⋻A46=⋰*⋻1","layer":3},{"info":"⋰*⋻4594⋳⪒⋰*⋻1=⋰*⋻8936","layer":2},{"info":"NaN⨰⋰*⋻8936=NaN","layer":1},{"info":"⋰*⋻2801↙⋰*⋻1724=⋰*⋻-4A71","layer":3},{"info":"⋗⩬⋾⋰*⋻-4A71=⋰*⋻139A3","layer":2},{"info":"↽≂⋰*⋻139A3=⋰*⋻-27896","layer":1},{"info":"NaN⨪↰⇹⋰*⋻-27896=NaN","layer":0}]}
{"id":364,"expression_no_base_symbol":"⫓⪴(⊙↵-(($3118$⨸⪁$3900$)↺$1623$⪮%⊝$2862$))","expression":"⫓⪴(⊙↵-((⋰*⋻2385⨸⪁⋰*⋻2A26)↺⋰*⋻1246⪮%⊝⋰*⋻2172))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":3623,"operation_count":5,"complexity_ratio":724.6,"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":3118,"base":11},"right_expr":{"type":"numeric_atoms","value":3900,"base":11}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1623,"base":11},"right_expr":{"type":"numeric_atoms","value":2862,"base":11}}}}},"used_operators":["eLxqMNBOBk","oWn0xqSxBt","7j4O788W3g","g55IO6H4Gj","IWmyXbctLI"],"dependent_operators":["9HNa5Wba9A","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⋰*⋻1","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=3118","layer":4},{"info":"number node, value=3900","layer":4},{"info":"compute binary expreesion, left_input=3118, right_input=3900, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=14036","layer":3},{"info":"number node, value=1623","layer":4},{"info":"number node, value=2862","layer":4},{"info":"compute binary expreesion, left_input=1623, right_input=2862, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3562","layer":3},{"info":"compute binary expreesion, left_input=14036, right_input=3562, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3562","layer":2},{"info":"compute unary expreesion, input=3562, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"compute unary expreesion, input=-1, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1","layer":0}],"base":11,"result_base":11,"text":"⫓⪴(⊙↵-((⋰*⋻2385⨸⪁⋰*⋻2A26)↺⋰*⋻1246⪮%⊝⋰*⋻2172))=⋰*⋻1","reverse_text":"⋰*⋻1=⫓⪴(⊙↵-((⋰*⋻2385⨸⪁⋰*⋻2A26)↺⋰*⋻1246⪮%⊝⋰*⋻2172))","cot":[{"info":"⋰*⋻2385⨸⪁⋰*⋻2A26=⋰*⋻A600","layer":3},{"info":"⋰*⋻1246⪮%⊝⋰*⋻2172=⋰*⋻2749","layer":3},{"info":"⋰*⋻A600↺⋰*⋻2749=⋰*⋻2749","layer":2},{"info":"⊙↵-⋰*⋻2749=⋰*⋻-1","layer":1},{"info":"⫓⪴⋰*⋻-1=⋰*⋻1","layer":0}]}
{"id":365,"expression_no_base_symbol":"(($2078$⨽$2033$⨵⪆$6195$⫸⊐$7678$)↛⩡⫤)⨪↰⇹($9280$⪄$2290$-$5897$≎⊠⪸$1543$)⨪↰⇹($3006$↛⩡⫤)⊴(↩$9651$)","expression":"((⋰*⋻161A⨽⋰*⋻1589⨵⪆⋰*⋻4722⫸⊐⋰*⋻5850)↛⩡⫤)⨪↰⇹(⋰*⋻6A77⪄⋰*⋻17A2-⋰*⋻4481≎⊠⪸⋰*⋻1183)⨪↰⇹(⋰*⋻2293↛⩡⫤)⊴(↩⋰*⋻7284)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":108023,"operation_count":12,"complexity_ratio":9001.916666666666,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2078,"base":11},"right_expr":{"type":"numeric_atoms","value":2033,"base":11}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":6195,"base":11},"right_expr":{"type":"numeric_atoms","value":7678,"base":11}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":9280,"base":11},"right_expr":{"type":"numeric_atoms","value":2290,"base":11}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":5897,"base":11},"right_expr":{"type":"numeric_atoms","value":1543,"base":11}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":3006,"base":11}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":9651,"base":11}}}}},"used_operators":["tmPS8pqC7x","FU0Cs4j7VP","2DQ55sFlQl","8HhzD0ZcuI","mqXw5SEYmG","rysDP5nf3Z","SUmda5xLS4","bJkvcejdHO","Nsiff2A1zJ","jLgFTUHLKL"],"dependent_operators":["rJVOvQCfKK","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","14qkJME0vr","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"⋰*⋻14239","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2078","layer":4},{"info":"number node, value=2033","layer":4},{"info":"compute binary expreesion, left_input=2078, right_input=2033, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-12959037","layer":3},{"info":"number node, value=6195","layer":4},{"info":"number node, value=7678","layer":4},{"info":"compute binary expreesion, left_input=6195, right_input=7678, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=30587","layer":3},{"info":"compute binary expreesion, left_input=-12959037, right_input=30587, 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 = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-20249","layer":1},{"info":"number node, value=9280","layer":4},{"info":"number node, value=2290","layer":4},{"info":"compute binary expreesion, left_input=9280, right_input=2290, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1378689","layer":3},{"info":"number node, value=5897","layer":4},{"info":"number node, value=1543","layer":4},{"info":"compute binary expreesion, left_input=5897, right_input=1543, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1526850","layer":3},{"info":"compute binary expreesion, left_input=-1378689, right_input=1526850, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-2905539","layer":2},{"info":"number node, value=3006","layer":4},{"info":"compute unary expreesion, input=3006, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-449995","layer":3},{"info":"number node, value=9651","layer":4},{"info":"compute unary expreesion, input=9651, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-74428","layer":3},{"info":"compute binary expreesion, left_input=-449995, right_input=-74428, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2905539, 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=-20249, 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=20249","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻161A⨽⋰*⋻1589⨵⪆⋰*⋻4722⫸⊐⋰*⋻5850)↛⩡⫤)⨪↰⇹(⋰*⋻6A77⪄⋰*⋻17A2-⋰*⋻4481≎⊠⪸⋰*⋻1183)⨪↰⇹(⋰*⋻2293↛⩡⫤)⊴(↩⋰*⋻7284)=⋰*⋻14239","reverse_text":"⋰*⋻14239=((⋰*⋻161A⨽⋰*⋻1589⨵⪆⋰*⋻4722⫸⊐⋰*⋻5850)↛⩡⫤)⨪↰⇹(⋰*⋻6A77⪄⋰*⋻17A2-⋰*⋻4481≎⊠⪸⋰*⋻1183)⨪↰⇹(⋰*⋻2293↛⩡⫤)⊴(↩⋰*⋻7284)","cot":[{"info":"⋰*⋻161A⨽⋰*⋻1589=⋰*⋻-7351353","layer":3},{"info":"⋰*⋻4722⫸⊐⋰*⋻5850=⋰*⋻20A87","layer":3},{"info":"⋰*⋻-7351353⨵⪆⋰*⋻20A87=⋰*⋻136","layer":2},{"info":"⋰*⋻136↛⩡⫤=⋰*⋻-14239","layer":1},{"info":"⋰*⋻6A77⪄⋰*⋻17A2=⋰*⋻-861914","layer":3},{"info":"⋰*⋻4481≎⊠⪸⋰*⋻1183=⋰*⋻953166","layer":3},{"info":"⋰*⋻-861914-⋰*⋻953166=⋰*⋻-1704A7A","layer":2},{"info":"⋰*⋻2293↛⩡⫤=⋰*⋻-2880A7","layer":3},{"info":"↩⋰*⋻7284=⋰*⋻-50A12","layer":3},{"info":"⋰*⋻-2880A7⊴⋰*⋻-50A12=NaN","layer":2},{"info":"⋰*⋻-1704A7A⨪↰⇹NaN=NaN","layer":1},{"info":"⋰*⋻-14239⨪↰⇹NaN=⋰*⋻14239","layer":0}]}
{"id":366,"expression_no_base_symbol":"(((↯⪼$3086$)⨸⪁$4994$⨰$8074$)≣⋋)⊉≛↸((↯⪼(↔$8237$))⫩⊇)","expression":"(((↯⪼⋰*⋻2356)⨸⪁⋰*⋻3830⨰⋰*⋻6080)≣⋋)⊉≛↸((↯⪼(↔⋰*⋻6209))⫩⊇)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":578,"operation_count":8,"complexity_ratio":72.25,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":3086,"base":11}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4994,"base":11},"right_expr":{"type":"numeric_atoms","value":8074,"base":11}}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":8237,"base":11}}}}},"used_operators":["DZ8iAZOCBD","Tcnh7f0tEr","g55IO6H4Gj","8jW3W4yZS5","eewbuw0ToL","BjRHVeLaeN","ruOEQAzv1W"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","W4YGzv6Whe","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3086","layer":4},{"info":"compute unary expreesion, input=3086, 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=4994","layer":4},{"info":"number node, value=8074","layer":4},{"info":"compute binary expreesion, left_input=4994, right_input=8074, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-3070","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-3070, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-6182","layer":2},{"info":"compute unary expreesion, input=-6182, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":1},{"info":"number node, value=8237","layer":4},{"info":"compute unary expreesion, input=8237, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-7964","layer":3},{"info":"compute unary expreesion, input=-7964, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=15011","layer":2},{"info":"compute unary expreesion, input=15011, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-14969","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-14969, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=0","layer":0}],"base":11,"result_base":11,"text":"(((↯⪼⋰*⋻2356)⨸⪁⋰*⋻3830⨰⋰*⋻6080)≣⋋)⊉≛↸((↯⪼(↔⋰*⋻6209))⫩⊇)=⋰*⋻0","reverse_text":"⋰*⋻0=(((↯⪼⋰*⋻2356)⨸⪁⋰*⋻3830⨰⋰*⋻6080)≣⋋)⊉≛↸((↯⪼(↔⋰*⋻6209))⫩⊇)","cot":[{"info":"↯⪼⋰*⋻2356=⋰*⋻-1A","layer":3},{"info":"⋰*⋻3830⨰⋰*⋻6080=⋰*⋻-2341","layer":3},{"info":"⋰*⋻-1A⨸⪁⋰*⋻-2341=⋰*⋻-4710","layer":2},{"info":"⋰*⋻-4710≣⋋=⋰*⋻0","layer":1},{"info":"↔⋰*⋻6209=⋰*⋻-5A90","layer":3},{"info":"↯⪼⋰*⋻-5A90=⋰*⋻10307","layer":2},{"info":"⋰*⋻10307⫩⊇=⋰*⋻-10279","layer":1},{"info":"⋰*⋻0⊉≛↸⋰*⋻-10279=⋰*⋻0","layer":0}]}
{"id":367,"expression_no_base_symbol":"(($1585$∸)⫸⊐(↯⪼$4386$))⫥∨⫟(⋗⩬⋾$1673$)⨰(⪲⇎$1937$)∲⫓(($3012$⊦⊿)+$1524$⩨$6626$)%(($4369$/$2274$)≦≮≮)","expression":"((⋰*⋻1211∸)⫸⊐(↯⪼⋰*⋻3328))⫥∨⫟(⋗⩬⋾⋰*⋻1291)⨰(⪲⇎⋰*⋻1501)∲⫓((⋰*⋻2299⊦⊿)+⋰*⋻1166⩨⋰*⋻4A84)%((⋰*⋻3312/⋰*⋻1788)≦≮≮)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3438,"operation_count":14,"complexity_ratio":245.57142857142858,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":1585,"base":11}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":4386,"base":11}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1673,"base":11}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1937,"base":11}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":3012,"base":11}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1524,"base":11},"right_expr":{"type":"numeric_atoms","value":6626,"base":11}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4369,"base":11},"right_expr":{"type":"numeric_atoms","value":2274,"base":11}}}}},"used_operators":["i8ToyICDmI","KYD54nUTWz","mqXw5SEYmG","o20kRiQErp","8jW3W4yZS5","eewbuw0ToL","DpFCA1CohY","XPYlsWDdGa","k8jYdgA6NY","W4YGzv6Whe","14qkJME0vr","2DlMacCsIx","D4vGDi5EA2","XhwjNDsVaA"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","tmPS8pqC7x","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1585","layer":4},{"info":"compute unary expreesion, input=1585, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=4386","layer":4},{"info":"compute unary expreesion, input=4386, 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=177, 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=47","layer":2},{"info":"number node, value=1673","layer":4},{"info":"compute unary expreesion, input=1673, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-5019","layer":3},{"info":"number node, value=1937","layer":4},{"info":"compute unary expreesion, input=1937, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3874","layer":3},{"info":"compute binary expreesion, left_input=-5019, right_input=3874, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-8883","layer":2},{"info":"compute binary expreesion, left_input=47, right_input=-8883, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=3012","layer":4},{"info":"compute unary expreesion, input=3012, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-9115","layer":3},{"info":"number node, value=1524","layer":4},{"info":"number node, value=6626","layer":4},{"info":"compute binary expreesion, left_input=1524, right_input=6626, 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=-9115, right_input=-12, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-9127","layer":2},{"info":"number node, value=4369","layer":4},{"info":"number node, value=2274","layer":4},{"info":"compute binary expreesion, left_input=4369, right_input=2274, 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":"compute binary expreesion, left_input=-9127, right_input=-3, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-1","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1211∸)⫸⊐(↯⪼⋰*⋻3328))⫥∨⫟(⋗⩬⋾⋰*⋻1291)⨰(⪲⇎⋰*⋻1501)∲⫓((⋰*⋻2299⊦⊿)+⋰*⋻1166⩨⋰*⋻4A84)%((⋰*⋻3312/⋰*⋻1788)≦≮≮)=NaN","reverse_text":"NaN=((⋰*⋻1211∸)⫸⊐(↯⪼⋰*⋻3328))⫥∨⫟(⋗⩬⋾⋰*⋻1291)⨰(⪲⇎⋰*⋻1501)∲⫓((⋰*⋻2299⊦⊿)+⋰*⋻1166⩨⋰*⋻4A84)%((⋰*⋻3312/⋰*⋻1788)≦≮≮)","cot":[{"info":"⋰*⋻1211∸=⋰*⋻151","layer":3},{"info":"↯⪼⋰*⋻3328=⋰*⋻-1A","layer":3},{"info":"⋰*⋻151⫸⊐⋰*⋻-1A=⋰*⋻43","layer":2},{"info":"⋗⩬⋾⋰*⋻1291=⋰*⋻-3853","layer":3},{"info":"⪲⇎⋰*⋻1501=⋰*⋻2A02","layer":3},{"info":"⋰*⋻-3853⨰⋰*⋻2A02=⋰*⋻-6746","layer":2},{"info":"⋰*⋻43⫥∨⫟⋰*⋻-6746=NaN","layer":1},{"info":"⋰*⋻2299⊦⊿=⋰*⋻-6937","layer":3},{"info":"⋰*⋻1166⩨⋰*⋻4A84=⋰*⋻-11","layer":3},{"info":"⋰*⋻-6937+⋰*⋻-11=⋰*⋻-6948","layer":2},{"info":"⋰*⋻3312/⋰*⋻1788=⋰*⋻1","layer":3},{"info":"⋰*⋻1≦≮≮=⋰*⋻-3","layer":2},{"info":"⋰*⋻-6948%⋰*⋻-3=⋰*⋻-1","layer":1},{"info":"NaN∲⫓⋰*⋻-1=NaN","layer":0}]}
{"id":368,"expression_no_base_symbol":"(⨵≀≌(∂$1619$)∼(≦∁$3666$))*(⨞⊢$1362$≭$5060$)≎⊠⪸($4801$≧⫂∧$1952$⪄($5054$∲⫓$5276$))","expression":"(⨵≀≌(∂⋰*⋻1242)∼(≦∁⋰*⋻2833))*(⨞⊢⋰*⋻1029≭⋰*⋻3890)≎⊠⪸(⋰*⋻3675≧⫂∧⋰*⋻1515⪄(⋰*⋻3885∲⫓⋰*⋻3A67))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":121,"operation_count":11,"complexity_ratio":11.0,"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":1619,"base":11}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":3666,"base":11}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1362,"base":11},"right_expr":{"type":"numeric_atoms","value":5060,"base":11}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4801,"base":11},"right_expr":{"type":"numeric_atoms","value":1952,"base":11}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":5054,"base":11},"right_expr":{"type":"numeric_atoms","value":5276,"base":11}}}}},"used_operators":["9HNa5Wba9A","srAu1WTS94","DyGG3AbaNP","Uaa54Peajs","9ICcGScMcE","bJkvcejdHO","xUOZtlo3hN","rxpJgHHUmx","SUmda5xLS4","Ph9nP6C5qx","i8ToyICDmI"],"dependent_operators":["W4YGzv6Whe","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1619","layer":4},{"info":"compute unary expreesion, input=1619, 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=3666","layer":4},{"info":"compute unary expreesion, input=3666, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3666","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3666, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=nan","layer":1},{"info":"number node, value=1362","layer":4},{"info":"number node, value=5060","layer":4},{"info":"compute binary expreesion, left_input=1362, right_input=5060, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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 = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":2},{"info":"number node, value=4801","layer":4},{"info":"number node, value=1952","layer":4},{"info":"compute binary expreesion, left_input=4801, right_input=1952, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1479","layer":3},{"info":"number node, value=5054","layer":4},{"info":"number node, value=5276","layer":4},{"info":"compute binary expreesion, left_input=5054, right_input=5276, 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=1479, right_input=0, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-214981","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-214981, 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 = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⨵≀≌(∂⋰*⋻1242)∼(≦∁⋰*⋻2833))*(⨞⊢⋰*⋻1029≭⋰*⋻3890)≎⊠⪸(⋰*⋻3675≧⫂∧⋰*⋻1515⪄(⋰*⋻3885∲⫓⋰*⋻3A67))=NaN","reverse_text":"NaN=(⨵≀≌(∂⋰*⋻1242)∼(≦∁⋰*⋻2833))*(⨞⊢⋰*⋻1029≭⋰*⋻3890)≎⊠⪸(⋰*⋻3675≧⫂∧⋰*⋻1515⪄(⋰*⋻3885∲⫓⋰*⋻3A67))","cot":[{"info":"∂⋰*⋻1242=NaN","layer":3},{"info":"≦∁⋰*⋻2833=⋰*⋻2833","layer":3},{"info":"NaN∼⋰*⋻2833=NaN","layer":2},{"info":"⨵≀≌NaN=NaN","layer":1},{"info":"⋰*⋻1029≭⋰*⋻3890=NaN","layer":3},{"info":"⨞⊢NaN=NaN","layer":2},{"info":"⋰*⋻3675≧⫂∧⋰*⋻1515=⋰*⋻1125","layer":3},{"info":"⋰*⋻3885∲⫓⋰*⋻3A67=⋰*⋻0","layer":3},{"info":"⋰*⋻1125⪄⋰*⋻0=⋰*⋻-137578","layer":2},{"info":"NaN≎⊠⪸⋰*⋻-137578=⋰*⋻61","layer":1},{"info":"NaN*⋰*⋻61=NaN","layer":0}]}
{"id":369,"expression_no_base_symbol":"↯⪼(↣≠⋷($5927$⪘⫢$1087$-$1119$⨪↰⇹$1744$))","expression":"↯⪼(↣≠⋷(⋰*⋻44A9⪘⫢⋰*⋻8A9-⋰*⋻928⨪↰⇹⋰*⋻1346))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1169,"operation_count":5,"complexity_ratio":233.8,"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":5927,"base":11},"right_expr":{"type":"numeric_atoms","value":1087,"base":11}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1119,"base":11},"right_expr":{"type":"numeric_atoms","value":1744,"base":11}}}}},"used_operators":["8jW3W4yZS5","Asc51vEJeQ","rysDP5nf3Z","oacrs7FA3X","tmPS8pqC7x"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","XhwjNDsVaA","AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rJVOvQCfKK"],"result":"⋰*⋻-1A","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=5927","layer":4},{"info":"number node, value=1087","layer":4},{"info":"compute binary expreesion, left_input=5927, right_input=1087, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=11730","layer":3},{"info":"number node, value=1119","layer":4},{"info":"number node, value=1744","layer":4},{"info":"compute binary expreesion, left_input=1119, right_input=1744, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1119","layer":3},{"info":"compute binary expreesion, left_input=11730, right_input=1119, op_id = rysDP5nf3Z binary_op_definition= 'None', output=10611","layer":2},{"info":"compute unary expreesion, input=10611, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', 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":11,"result_base":11,"text":"↯⪼(↣≠⋷(⋰*⋻44A9⪘⫢⋰*⋻8A9-⋰*⋻928⨪↰⇹⋰*⋻1346))=⋰*⋻-1A","reverse_text":"⋰*⋻-1A=↯⪼(↣≠⋷(⋰*⋻44A9⪘⫢⋰*⋻8A9-⋰*⋻928⨪↰⇹⋰*⋻1346))","cot":[{"info":"⋰*⋻44A9⪘⫢⋰*⋻8A9=⋰*⋻88A4","layer":3},{"info":"⋰*⋻928⨪↰⇹⋰*⋻1346=⋰*⋻928","layer":3},{"info":"⋰*⋻88A4-⋰*⋻928=⋰*⋻7A77","layer":2},{"info":"↣≠⋷⋰*⋻7A77=NaN","layer":1},{"info":"↯⪼NaN=⋰*⋻-1A","layer":0}]}
{"id":370,"expression_no_base_symbol":"(($4567$↙$2435$)≦≮≮)⨟⋌⩍($3222$⇼⇔∾$3263$⊭↱(⩦⩻⨪$1002$))⇷((($1044$⫡⨏$1147$)≣⋋)⨓(⊙↵-($3062$⇼⇔∾$2993$)))","expression":"((⋰*⋻3482↙⋰*⋻1914)≦≮≮)⨟⋌⩍(⋰*⋻246A⇼⇔∾⋰*⋻24A7⊭↱(⩦⩻⨪⋰*⋻831))⇷(((⋰*⋻86A⫡⨏⋰*⋻953)≣⋋)⨓(⊙↵-(⋰*⋻2334⇼⇔∾⋰*⋻2281)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3085,"operation_count":12,"complexity_ratio":257.0833333333333,"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":4567,"base":11},"right_expr":{"type":"numeric_atoms","value":2435,"base":11}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3222,"base":11},"right_expr":{"type":"numeric_atoms","value":3263,"base":11}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1002,"base":11}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1044,"base":11},"right_expr":{"type":"numeric_atoms","value":1147,"base":11}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3062,"base":11},"right_expr":{"type":"numeric_atoms","value":2993,"base":11}}}}},"used_operators":["mp7IySMOzn","rGHVDoGpnC","D4vGDi5EA2","yyfyN0ffXY","COABgblf1C","tifHPKVTfV","2td37pGCOC","3ViojmjbAp","Tcnh7f0tEr","QMFrweE19q","oWn0xqSxBt"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4567","layer":4},{"info":"number node, value=2435","layer":4},{"info":"compute binary expreesion, left_input=4567, right_input=2435, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-7305","layer":3},{"info":"compute unary expreesion, input=-7305, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=21915","layer":2},{"info":"number node, value=3222","layer":4},{"info":"number node, value=3263","layer":4},{"info":"compute binary expreesion, left_input=3222, right_input=3263, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=41","layer":3},{"info":"number node, value=1002","layer":4},{"info":"compute unary expreesion, input=1002, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1002","layer":3},{"info":"compute binary expreesion, left_input=41, right_input=1002, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=1927","layer":2},{"info":"compute binary expreesion, left_input=21915, right_input=1927, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1044","layer":4},{"info":"number node, value=1147","layer":4},{"info":"compute binary expreesion, left_input=1044, right_input=1147, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=8297","layer":3},{"info":"compute unary expreesion, input=8297, 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=3062","layer":4},{"info":"number node, value=2993","layer":4},{"info":"compute binary expreesion, left_input=3062, right_input=2993, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-69","layer":3},{"info":"compute unary expreesion, input=-69, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻3482↙⋰*⋻1914)≦≮≮)⨟⋌⩍(⋰*⋻246A⇼⇔∾⋰*⋻24A7⊭↱(⩦⩻⨪⋰*⋻831))⇷(((⋰*⋻86A⫡⨏⋰*⋻953)≣⋋)⨓(⊙↵-(⋰*⋻2334⇼⇔∾⋰*⋻2281)))=NaN","reverse_text":"NaN=((⋰*⋻3482↙⋰*⋻1914)≦≮≮)⨟⋌⩍(⋰*⋻246A⇼⇔∾⋰*⋻24A7⊭↱(⩦⩻⨪⋰*⋻831))⇷(((⋰*⋻86A⫡⨏⋰*⋻953)≣⋋)⨓(⊙↵-(⋰*⋻2334⇼⇔∾⋰*⋻2281)))","cot":[{"info":"⋰*⋻3482↙⋰*⋻1914=⋰*⋻-5541","layer":3},{"info":"⋰*⋻-5541≦≮≮=⋰*⋻15513","layer":2},{"info":"⋰*⋻246A⇼⇔∾⋰*⋻24A7=⋰*⋻38","layer":3},{"info":"⩦⩻⨪⋰*⋻831=⋰*⋻831","layer":3},{"info":"⋰*⋻38⊭↱⋰*⋻831=⋰*⋻14A2","layer":2},{"info":"⋰*⋻15513⨟⋌⩍⋰*⋻14A2=NaN","layer":1},{"info":"⋰*⋻86A⫡⨏⋰*⋻953=⋰*⋻6263","layer":3},{"info":"⋰*⋻6263≣⋋=⋰*⋻0","layer":2},{"info":"⋰*⋻2334⇼⇔∾⋰*⋻2281=⋰*⋻-63","layer":3},{"info":"⊙↵-⋰*⋻-63=⋰*⋻0","layer":2},{"info":"⋰*⋻0⨓⋰*⋻0=NaN","layer":1},{"info":"NaN⇷NaN=NaN","layer":0}]}
{"id":371,"expression_no_base_symbol":"((⊙↵-($6516$⩷∴$4637$))+(⫓⪴$1371$)⨪↰⇹($1331$⩚⊴⇥$1391$))⫸⊐(($3969$⪢$5032$)≹⇙⪍($7129$⪢$2978$)≫≃)","expression":"((⊙↵-(⋰*⋻4994⩷∴⋰*⋻3536))+(⫓⪴⋰*⋻1037)⨪↰⇹(⋰*⋻1000⩚⊴⇥⋰*⋻1055))⫸⊐((⋰*⋻2A89⪢⋰*⋻3865)≹⇙⪍(⋰*⋻53A1⪢⋰*⋻2268)≫≃)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":23006,"operation_count":11,"complexity_ratio":2091.4545454545455,"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":6516,"base":11},"right_expr":{"type":"numeric_atoms","value":4637,"base":11}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1371,"base":11}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1331,"base":11},"right_expr":{"type":"numeric_atoms","value":1391,"base":11}}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3969,"base":11},"right_expr":{"type":"numeric_atoms","value":5032,"base":11}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":7129,"base":11},"right_expr":{"type":"numeric_atoms","value":2978,"base":11}}}}},"used_operators":["mqXw5SEYmG","W4YGzv6Whe","oWn0xqSxBt","9FxExcQeMw","tmPS8pqC7x","eLxqMNBOBk","NTOWxs364D","X99M06cbEe","AHs5Up7iyr","dWAJyo7jo9"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","rJVOvQCfKK","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","dWAJyo7jo9","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6516","layer":4},{"info":"number node, value=4637","layer":4},{"info":"compute binary expreesion, left_input=6516, right_input=4637, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=3726","layer":3},{"info":"compute unary expreesion, input=3726, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":2},{"info":"number node, value=1371","layer":4},{"info":"compute unary expreesion, input=1371, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1879641","layer":3},{"info":"number node, value=1331","layer":4},{"info":"number node, value=1391","layer":4},{"info":"compute binary expreesion, left_input=1331, right_input=1391, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2843","layer":3},{"info":"compute binary expreesion, left_input=1879641, right_input=-2843, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=3969","layer":4},{"info":"number node, value=5032","layer":4},{"info":"compute binary expreesion, left_input=3969, right_input=5032, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=7129","layer":4},{"info":"number node, value=2978","layer":4},{"info":"compute binary expreesion, left_input=7129, right_input=2978, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=nan","layer":1},{"info":"compute 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":11,"result_base":11,"text":"((⊙↵-(⋰*⋻4994⩷∴⋰*⋻3536))+(⫓⪴⋰*⋻1037)⨪↰⇹(⋰*⋻1000⩚⊴⇥⋰*⋻1055))⫸⊐((⋰*⋻2A89⪢⋰*⋻3865)≹⇙⪍(⋰*⋻53A1⪢⋰*⋻2268)≫≃)=NaN","reverse_text":"NaN=((⊙↵-(⋰*⋻4994⩷∴⋰*⋻3536))+(⫓⪴⋰*⋻1037)⨪↰⇹(⋰*⋻1000⩚⊴⇥⋰*⋻1055))⫸⊐((⋰*⋻2A89⪢⋰*⋻3865)≹⇙⪍(⋰*⋻53A1⪢⋰*⋻2268)≫≃)","cot":[{"info":"⋰*⋻4994⩷∴⋰*⋻3536=⋰*⋻2888","layer":3},{"info":"⊙↵-⋰*⋻2888=⋰*⋻-1","layer":2},{"info":"⫓⪴⋰*⋻1037=⋰*⋻1074225","layer":3},{"info":"⋰*⋻1000⩚⊴⇥⋰*⋻1055=⋰*⋻-2155","layer":3},{"info":"⋰*⋻1074225⨪↰⇹⋰*⋻-2155=NaN","layer":2},{"info":"⋰*⋻-1+NaN=NaN","layer":1},{"info":"⋰*⋻2A89⪢⋰*⋻3865=NaN","layer":3},{"info":"⋰*⋻53A1⪢⋰*⋻2268=NaN","layer":3},{"info":"NaN≹⇙⪍NaN=NaN","layer":2},{"info":"NaN≫≃=NaN","layer":1},{"info":"NaN⫸⊐NaN=NaN","layer":0}]}
{"id":372,"expression_no_base_symbol":"(⊄⩳↩(↥$3792$))⋓($8980$⨟⋌⩍$1345$⊠≄⫣)⨽(($2647$/$1950$)⩷∴($1705$+⇶⊼$2437$))⪢(($2517$⪨≂$2980$)≣⋋)","expression":"(⊄⩳↩(↥⋰*⋻2938))⋓(⋰*⋻6824⨟⋌⩍⋰*⋻1013⊠≄⫣)⨽((⋰*⋻1A97/⋰*⋻1513)⩷∴(⋰*⋻1310+⇶⊼⋰*⋻1916))⪢((⋰*⋻1989⪨≂⋰*⋻226A)≣⋋)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":632,"operation_count":12,"complexity_ratio":52.666666666666664,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":3792,"base":11}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":8980,"base":11},"right_expr":{"type":"numeric_atoms","value":1345,"base":11}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2647,"base":11},"right_expr":{"type":"numeric_atoms","value":1950,"base":11}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1705,"base":11},"right_expr":{"type":"numeric_atoms","value":2437,"base":11}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2517,"base":11},"right_expr":{"type":"numeric_atoms","value":2980,"base":11}}}}},"used_operators":["8HhzD0ZcuI","T2fj7uvVaJ","8w2t5hMYqp","A8NUZmVepG","DIvbN7qnHd","rGHVDoGpnC","dWAJyo7jo9","9FxExcQeMw","XhwjNDsVaA","TpPTUOHfaN","Tcnh7f0tEr","sdazOOVcIp"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","k8jYdgA6NY","rysDP5nf3Z","rysDP5nf3Z","AHs5Up7iyr","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3792","layer":4},{"info":"compute unary expreesion, input=3792, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=18","layer":3},{"info":"compute unary expreesion, input=18, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-54","layer":2},{"info":"number node, value=8980","layer":4},{"info":"number node, value=1345","layer":4},{"info":"compute binary expreesion, left_input=8980, right_input=1345, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-54, 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=2647","layer":4},{"info":"number node, value=1950","layer":4},{"info":"compute binary expreesion, left_input=2647, right_input=1950, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"number node, value=1705","layer":4},{"info":"number node, value=2437","layer":4},{"info":"compute binary expreesion, left_input=1705, right_input=2437, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=1, 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=2517","layer":4},{"info":"number node, value=2980","layer":4},{"info":"compute binary expreesion, left_input=2517, right_input=2980, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-824","layer":3},{"info":"compute unary expreesion, input=-824, 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 = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⊄⩳↩(↥⋰*⋻2938))⋓(⋰*⋻6824⨟⋌⩍⋰*⋻1013⊠≄⫣)⨽((⋰*⋻1A97/⋰*⋻1513)⩷∴(⋰*⋻1310+⇶⊼⋰*⋻1916))⪢((⋰*⋻1989⪨≂⋰*⋻226A)≣⋋)=NaN","reverse_text":"NaN=(⊄⩳↩(↥⋰*⋻2938))⋓(⋰*⋻6824⨟⋌⩍⋰*⋻1013⊠≄⫣)⨽((⋰*⋻1A97/⋰*⋻1513)⩷∴(⋰*⋻1310+⇶⊼⋰*⋻1916))⪢((⋰*⋻1989⪨≂⋰*⋻226A)≣⋋)","cot":[{"info":"↥⋰*⋻2938=⋰*⋻17","layer":3},{"info":"⊄⩳↩⋰*⋻17=⋰*⋻-4A","layer":2},{"info":"⋰*⋻6824⨟⋌⩍⋰*⋻1013=NaN","layer":3},{"info":"NaN⊠≄⫣=NaN","layer":2},{"info":"⋰*⋻-4A⋓NaN=NaN","layer":1},{"info":"⋰*⋻1A97/⋰*⋻1513=⋰*⋻1","layer":3},{"info":"⋰*⋻1310+⇶⊼⋰*⋻1916=NaN","layer":3},{"info":"⋰*⋻1⩷∴NaN=NaN","layer":2},{"info":"⋰*⋻1989⪨≂⋰*⋻226A=⋰*⋻-68A","layer":3},{"info":"⋰*⋻-68A≣⋋=⋰*⋻0","layer":2},{"info":"NaN⪢⋰*⋻0=⋰*⋻0","layer":1},{"info":"NaN⨽⋰*⋻0=NaN","layer":0}]}
{"id":373,"expression_no_base_symbol":"($5257$↺$1189$)⨐⩸⫘(⫓⪴$5825$)⊉≛↸(($1186$⫩⊇)/$5218$⋝⋈⪟$1032$)-($3214$⩷∴$3961$⩨($4564$⊭↱$1756$))⋝⋈⪟(($5135$⇋≉)⨳⩥⨓$4059$⨰$1317$)","expression":"(⋰*⋻3A4A↺⋰*⋻991)⨐⩸⫘(⫓⪴⋰*⋻4416)⊉≛↸((⋰*⋻989⫩⊇)/⋰*⋻3A14⋝⋈⪟⋰*⋻859)-(⋰*⋻2462⩷∴⋰*⋻2A81⩨(⋰*⋻347A⊭↱⋰*⋻1357))⋝⋈⪟((⋰*⋻3949⇋≉)⨳⩥⨓⋰*⋻3060⨰⋰*⋻A98)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5870,"operation_count":15,"complexity_ratio":391.3333333333333,"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":5257,"base":11},"right_expr":{"type":"numeric_atoms","value":1189,"base":11}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":5825,"base":11}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":1186,"base":11}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":5218,"base":11},"right_expr":{"type":"numeric_atoms","value":1032,"base":11}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3214,"base":11},"right_expr":{"type":"numeric_atoms","value":3961,"base":11}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4564,"base":11},"right_expr":{"type":"numeric_atoms","value":1756,"base":11}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":5135,"base":11}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4059,"base":11},"right_expr":{"type":"numeric_atoms","value":1317,"base":11}}}}},"used_operators":["rysDP5nf3Z","DZ8iAZOCBD","fu6greOZ01","7j4O788W3g","eLxqMNBOBk","XhwjNDsVaA","BjRHVeLaeN","2DDjHMKMc0","2DlMacCsIx","9FxExcQeMw","COABgblf1C","nCS4ZIUYfx","XIabStNQrY","eewbuw0ToL"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5257","layer":4},{"info":"number node, value=1189","layer":4},{"info":"compute binary expreesion, left_input=5257, right_input=1189, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1189","layer":3},{"info":"number node, value=5825","layer":4},{"info":"compute unary expreesion, input=5825, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=33930625","layer":3},{"info":"compute binary expreesion, left_input=1189, right_input=33930625, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=1186","layer":4},{"info":"compute unary expreesion, input=1186, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1144","layer":3},{"info":"number node, value=5218","layer":4},{"info":"number node, value=1032","layer":4},{"info":"compute binary expreesion, left_input=5218, right_input=1032, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5218","layer":3},{"info":"compute binary expreesion, left_input=-1144, right_input=5218, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":1},{"info":"number node, value=3214","layer":4},{"info":"number node, value=3961","layer":4},{"info":"compute binary expreesion, left_input=3214, right_input=3961, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-1526","layer":3},{"info":"number node, value=4564","layer":4},{"info":"number node, value=1756","layer":4},{"info":"compute binary expreesion, left_input=4564, right_input=1756, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-5611","layer":3},{"info":"compute binary expreesion, left_input=-1526, right_input=-5611, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-9","layer":2},{"info":"number node, value=5135","layer":4},{"info":"compute unary expreesion, input=5135, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=10172","layer":3},{"info":"number node, value=4059","layer":4},{"info":"number node, value=1317","layer":4},{"info":"compute binary expreesion, left_input=4059, right_input=1317, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2752","layer":3},{"info":"compute binary expreesion, left_input=10172, right_input=2752, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-7420","layer":2},{"info":"compute binary expreesion, left_input=-9, right_input=-7420, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-9","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-9, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻3A4A↺⋰*⋻991)⨐⩸⫘(⫓⪴⋰*⋻4416)⊉≛↸((⋰*⋻989⫩⊇)/⋰*⋻3A14⋝⋈⪟⋰*⋻859)-(⋰*⋻2462⩷∴⋰*⋻2A81⩨(⋰*⋻347A⊭↱⋰*⋻1357))⋝⋈⪟((⋰*⋻3949⇋≉)⨳⩥⨓⋰*⋻3060⨰⋰*⋻A98)=NaN","reverse_text":"NaN=(⋰*⋻3A4A↺⋰*⋻991)⨐⩸⫘(⫓⪴⋰*⋻4416)⊉≛↸((⋰*⋻989⫩⊇)/⋰*⋻3A14⋝⋈⪟⋰*⋻859)-(⋰*⋻2462⩷∴⋰*⋻2A81⩨(⋰*⋻347A⊭↱⋰*⋻1357))⋝⋈⪟((⋰*⋻3949⇋≉)⨳⩥⨓⋰*⋻3060⨰⋰*⋻A98)","cot":[{"info":"⋰*⋻3A4A↺⋰*⋻991=⋰*⋻991","layer":3},{"info":"⫓⪴⋰*⋻4416=⋰*⋻18175643","layer":3},{"info":"⋰*⋻991⨐⩸⫘⋰*⋻18175643=NaN","layer":2},{"info":"⋰*⋻989⫩⊇=⋰*⋻-950","layer":3},{"info":"⋰*⋻3A14⋝⋈⪟⋰*⋻859=⋰*⋻3A14","layer":3},{"info":"⋰*⋻-950/⋰*⋻3A14=⋰*⋻-1","layer":2},{"info":"NaN⊉≛↸⋰*⋻-1=NaN","layer":1},{"info":"⋰*⋻2462⩷∴⋰*⋻2A81=⋰*⋻-1168","layer":3},{"info":"⋰*⋻347A⊭↱⋰*⋻1357=⋰*⋻-4241","layer":3},{"info":"⋰*⋻-1168⩨⋰*⋻-4241=⋰*⋻-9","layer":2},{"info":"⋰*⋻3949⇋≉=⋰*⋻7708","layer":3},{"info":"⋰*⋻3060⨰⋰*⋻A98=⋰*⋻2082","layer":3},{"info":"⋰*⋻7708⨳⩥⨓⋰*⋻2082=⋰*⋻-5636","layer":2},{"info":"⋰*⋻-9⋝⋈⪟⋰*⋻-5636=⋰*⋻-9","layer":1},{"info":"NaN-⋰*⋻-9=NaN","layer":0}]}
{"id":374,"expression_no_base_symbol":"(($1708$⋓$3172$⊭↱$4994$⪢$1323$)⇋≉)%(⫛⫱⨽$1358$)⩷∴($3428$⊠≄⫣)⨎($8483$⨟⋌⩍$4635$↙$2873$⩚⊴⇥$5109$)","expression":"((⋰*⋻1313⋓⋰*⋻2424⊭↱⋰*⋻3830⪢⋰*⋻AA3)⇋≉)%(⫛⫱⨽⋰*⋻1025)⩷∴(⋰*⋻2637⊠≄⫣)⨎(⋰*⋻6412⨟⋌⩍⋰*⋻3534↙⋰*⋻2182⩚⊴⇥⋰*⋻3925)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5434,"operation_count":12,"complexity_ratio":452.8333333333333,"tree":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1708,"base":11},"right_expr":{"type":"numeric_atoms","value":3172,"base":11}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4994,"base":11},"right_expr":{"type":"numeric_atoms","value":1323,"base":11}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1358,"base":11}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":3428,"base":11}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":8483,"base":11},"right_expr":{"type":"numeric_atoms","value":4635,"base":11}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2873,"base":11},"right_expr":{"type":"numeric_atoms","value":5109,"base":11}}}}},"used_operators":["k8jYdgA6NY","XIabStNQrY","COABgblf1C","T2fj7uvVaJ","dWAJyo7jo9","rJVOvQCfKK","9FxExcQeMw","DlLNRPXxWL","DIvbN7qnHd","yyfyN0ffXY","rGHVDoGpnC","NTOWxs364D"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","k8jYdgA6NY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1708","layer":4},{"info":"number node, value=3172","layer":4},{"info":"compute binary expreesion, left_input=1708, right_input=3172, op_id = T2fj7uvVaJ binary_op_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=4994","layer":4},{"info":"number node, value=1323","layer":4},{"info":"compute binary expreesion, left_input=4994, right_input=1323, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', 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=1358","layer":4},{"info":"compute unary expreesion, input=1358, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=3428","layer":4},{"info":"compute unary expreesion, input=3428, 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 = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-32","layer":2},{"info":"number node, value=8483","layer":4},{"info":"number node, value=4635","layer":4},{"info":"compute binary expreesion, left_input=8483, right_input=4635, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2873","layer":4},{"info":"number node, value=5109","layer":4},{"info":"compute binary expreesion, left_input=2873, right_input=5109, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8103","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-8103, 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=-32, 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 = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1313⋓⋰*⋻2424⊭↱⋰*⋻3830⪢⋰*⋻AA3)⇋≉)%(⫛⫱⨽⋰*⋻1025)⩷∴(⋰*⋻2637⊠≄⫣)⨎(⋰*⋻6412⨟⋌⩍⋰*⋻3534↙⋰*⋻2182⩚⊴⇥⋰*⋻3925)=NaN","reverse_text":"NaN=((⋰*⋻1313⋓⋰*⋻2424⊭↱⋰*⋻3830⪢⋰*⋻AA3)⇋≉)%(⫛⫱⨽⋰*⋻1025)⩷∴(⋰*⋻2637⊠≄⫣)⨎(⋰*⋻6412⨟⋌⩍⋰*⋻3534↙⋰*⋻2182⩚⊴⇥⋰*⋻3925)","cot":[{"info":"⋰*⋻1313⋓⋰*⋻2424=⋰*⋻0","layer":3},{"info":"⋰*⋻3830⪢⋰*⋻AA3=NaN","layer":3},{"info":"⋰*⋻0⊭↱NaN=NaN","layer":2},{"info":"NaN⇋≉=NaN","layer":1},{"info":"⫛⫱⨽⋰*⋻1025=⋰*⋻0","layer":3},{"info":"⋰*⋻2637⊠≄⫣=⋰*⋻0","layer":3},{"info":"⋰*⋻0⩷∴⋰*⋻0=⋰*⋻-2A","layer":2},{"info":"⋰*⋻6412⨟⋌⩍⋰*⋻3534=NaN","layer":3},{"info":"⋰*⋻2182⩚⊴⇥⋰*⋻3925=⋰*⋻-60A7","layer":3},{"info":"NaN↙⋰*⋻-60A7=NaN","layer":2},{"info":"⋰*⋻-2A⨎NaN=NaN","layer":1},{"info":"NaN%NaN=NaN","layer":0}]}
{"id":375,"expression_no_base_symbol":"((∂($1455$⫡⨏$3668$))⩠)⨪↰⇹(($1184$⊴$1739$⪄($2659$⪨≂$1579$))⊪)","expression":"((∂(⋰*⋻1103⫡⨏⋰*⋻2835))⩠)⨪↰⇹((⋰*⋻987⊴⋰*⋻1341⪄(⋰*⋻1AA8⪨≂⋰*⋻1206))⊪)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1832,"operation_count":8,"complexity_ratio":229.0,"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":1455,"base":11},"right_expr":{"type":"numeric_atoms","value":3668,"base":11}}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1184,"base":11},"right_expr":{"type":"numeric_atoms","value":1739,"base":11}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2659,"base":11},"right_expr":{"type":"numeric_atoms","value":1579,"base":11}}}}},"used_operators":["tmPS8pqC7x","sJAwomhLZr","Uaa54Peajs","QMFrweE19q","zVYPLywUTj","SUmda5xLS4","Nsiff2A1zJ","sdazOOVcIp"],"dependent_operators":["rJVOvQCfKK","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1455","layer":4},{"info":"number node, value=3668","layer":4},{"info":"compute binary expreesion, left_input=1455, right_input=3668, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=15394","layer":3},{"info":"compute unary expreesion, input=15394, 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 = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=nan","layer":1},{"info":"number node, value=1184","layer":4},{"info":"number node, value=1739","layer":4},{"info":"compute binary expreesion, left_input=1184, right_input=1739, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=2659","layer":4},{"info":"number node, value=1579","layer":4},{"info":"compute binary expreesion, left_input=2659, right_input=1579, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=2262","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2262, 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 = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"((∂(⋰*⋻1103⫡⨏⋰*⋻2835))⩠)⨪↰⇹((⋰*⋻987⊴⋰*⋻1341⪄(⋰*⋻1AA8⪨≂⋰*⋻1206))⊪)=NaN","reverse_text":"NaN=((∂(⋰*⋻1103⫡⨏⋰*⋻2835))⩠)⨪↰⇹((⋰*⋻987⊴⋰*⋻1341⪄(⋰*⋻1AA8⪨≂⋰*⋻1206))⊪)","cot":[{"info":"⋰*⋻1103⫡⨏⋰*⋻2835=⋰*⋻10625","layer":3},{"info":"∂⋰*⋻10625=NaN","layer":2},{"info":"NaN⩠=NaN","layer":1},{"info":"⋰*⋻987⊴⋰*⋻1341=NaN","layer":3},{"info":"⋰*⋻1AA8⪨≂⋰*⋻1206=⋰*⋻1777","layer":3},{"info":"NaN⪄⋰*⋻1777=⋰*⋻2A98","layer":2},{"info":"⋰*⋻2A98⊪=⋰*⋻0","layer":1},{"info":"NaN⨪↰⇹⋰*⋻0=NaN","layer":0}]}
{"id":376,"expression_no_base_symbol":"($3516$⨪↰⇹$5743$⋓($4729$≋⫹))⪢($3480$⪄$4665$)≹⇙⪍(↯⪼$1147$)⨓($8102$∼$2553$⩚⊴⇥$1382$⋓$3252$)⪛(↣≠⋷($5432$↬$4955$))","expression":"(⋰*⋻2707⨪↰⇹⋰*⋻4351⋓(⋰*⋻360A≋⫹))⪢(⋰*⋻2684⪄⋰*⋻3561)≹⇙⪍(↯⪼⋰*⋻953)⨓(⋰*⋻60A6∼⋰*⋻1A11⩚⊴⇥⋰*⋻1047⋓⋰*⋻2497)⪛(↣≠⋷(⋰*⋻4099↬⋰*⋻37A5))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":559306,"operation_count":14,"complexity_ratio":39950.42857142857,"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":3516,"base":11},"right_expr":{"type":"numeric_atoms","value":5743,"base":11}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":4729,"base":11}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3480,"base":11},"right_expr":{"type":"numeric_atoms","value":4665,"base":11}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1147,"base":11}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":8102,"base":11},"right_expr":{"type":"numeric_atoms","value":2553,"base":11}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1382,"base":11},"right_expr":{"type":"numeric_atoms","value":3252,"base":11}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":5432,"base":11},"right_expr":{"type":"numeric_atoms","value":4955,"base":11}}}}},"used_operators":["3ViojmjbAp","dWAJyo7jo9","T2fj7uvVaJ","tmPS8pqC7x","N41Kp7NANJ","AHs5Up7iyr","SUmda5xLS4","8jW3W4yZS5","uFcxV4UQCh","NTOWxs364D","DyGG3AbaNP","Asc51vEJeQ","B5M0gjZbta"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","XhwjNDsVaA","AHs5Up7iyr","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3516","layer":4},{"info":"number node, value=5743","layer":4},{"info":"compute binary expreesion, left_input=3516, right_input=5743, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3516","layer":3},{"info":"number node, value=4729","layer":4},{"info":"compute unary expreesion, input=4729, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-9458","layer":3},{"info":"compute binary expreesion, left_input=3516, right_input=-9458, op_id = T2fj7uvVaJ binary_op_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=3480","layer":4},{"info":"number node, value=4665","layer":4},{"info":"compute binary expreesion, left_input=3480, right_input=4665, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-529789","layer":3},{"info":"number node, value=1147","layer":4},{"info":"compute unary expreesion, input=1147, 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=-529789, right_input=-21, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":1},{"info":"number node, value=8102","layer":4},{"info":"number node, value=2553","layer":4},{"info":"compute binary expreesion, left_input=8102, right_input=2553, 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=1382","layer":4},{"info":"number node, value=3252","layer":4},{"info":"compute binary expreesion, left_input=1382, right_input=3252, op_id = T2fj7uvVaJ binary_op_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 = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"number node, value=5432","layer":4},{"info":"number node, value=4955","layer":4},{"info":"compute binary expreesion, left_input=5432, right_input=4955, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻2707⨪↰⇹⋰*⋻4351⋓(⋰*⋻360A≋⫹))⪢(⋰*⋻2684⪄⋰*⋻3561)≹⇙⪍(↯⪼⋰*⋻953)⨓(⋰*⋻60A6∼⋰*⋻1A11⩚⊴⇥⋰*⋻1047⋓⋰*⋻2497)⪛(↣≠⋷(⋰*⋻4099↬⋰*⋻37A5))=NaN","reverse_text":"NaN=(⋰*⋻2707⨪↰⇹⋰*⋻4351⋓(⋰*⋻360A≋⫹))⪢(⋰*⋻2684⪄⋰*⋻3561)≹⇙⪍(↯⪼⋰*⋻953)⨓(⋰*⋻60A6∼⋰*⋻1A11⩚⊴⇥⋰*⋻1047⋓⋰*⋻2497)⪛(↣≠⋷(⋰*⋻4099↬⋰*⋻37A5))","cot":[{"info":"⋰*⋻2707⨪↰⇹⋰*⋻4351=⋰*⋻2707","layer":3},{"info":"⋰*⋻360A≋⫹=⋰*⋻-7119","layer":3},{"info":"⋰*⋻2707⋓⋰*⋻-7119=⋰*⋻0","layer":2},{"info":"⋰*⋻2684⪄⋰*⋻3561=⋰*⋻-332047","layer":3},{"info":"↯⪼⋰*⋻953=⋰*⋻-1A","layer":3},{"info":"⋰*⋻-332047≹⇙⪍⋰*⋻-1A=NaN","layer":2},{"info":"⋰*⋻0⪢NaN=NaN","layer":1},{"info":"⋰*⋻60A6∼⋰*⋻1A11=NaN","layer":3},{"info":"⋰*⋻1047⋓⋰*⋻2497=⋰*⋻0","layer":3},{"info":"NaN⩚⊴⇥⋰*⋻0=NaN","layer":2},{"info":"⋰*⋻4099↬⋰*⋻37A5=NaN","layer":3},{"info":"↣≠⋷NaN=NaN","layer":2},{"info":"NaN⪛NaN=NaN","layer":1},{"info":"NaN⨓NaN=NaN","layer":0}]}
{"id":377,"expression_no_base_symbol":"(⊄⩳↩$1513$⊴$1608$∀⇚≩$5405$⨟⋌⩍$3352$)⪛(↔(($1197$↙$1179$)⪮%⊝($4240$⫩⊇)))","expression":"(⊄⩳↩⋰*⋻1156⊴⋰*⋻1232∀⇚≩⋰*⋻4074⨟⋌⩍⋰*⋻2578)⪛(↔((⋰*⋻999↙⋰*⋻982)⪮%⊝(⋰*⋻3205⫩⊇)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2838,"operation_count":9,"complexity_ratio":315.3333333333333,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1513,"base":11},"right_expr":{"type":"numeric_atoms","value":1608,"base":11}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":5405,"base":11},"right_expr":{"type":"numeric_atoms","value":3352,"base":11}}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1197,"base":11},"right_expr":{"type":"numeric_atoms","value":1179,"base":11}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":4240,"base":11}}}}},"used_operators":["uFcxV4UQCh","8w2t5hMYqp","LRNGc0VcxI","Nsiff2A1zJ","rGHVDoGpnC","ruOEQAzv1W","IWmyXbctLI","yyfyN0ffXY","BjRHVeLaeN"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","dWAJyo7jo9","14qkJME0vr","Tcnh7f0tEr","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1513","layer":4},{"info":"number node, value=1608","layer":4},{"info":"compute binary expreesion, left_input=1513, right_input=1608, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=5405","layer":4},{"info":"number node, value=3352","layer":4},{"info":"compute binary expreesion, left_input=5405, right_input=3352, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":1},{"info":"number node, value=1197","layer":4},{"info":"number node, value=1179","layer":4},{"info":"compute binary expreesion, left_input=1197, right_input=1179, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3537","layer":3},{"info":"number node, value=4240","layer":4},{"info":"compute unary expreesion, input=4240, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-4198","layer":3},{"info":"compute binary expreesion, left_input=-3537, right_input=-4198, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-6758","layer":2},{"info":"compute unary expreesion, input=-6758, 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 = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⊄⩳↩⋰*⋻1156⊴⋰*⋻1232∀⇚≩⋰*⋻4074⨟⋌⩍⋰*⋻2578)⪛(↔((⋰*⋻999↙⋰*⋻982)⪮%⊝(⋰*⋻3205⫩⊇)))=NaN","reverse_text":"NaN=(⊄⩳↩⋰*⋻1156⊴⋰*⋻1232∀⇚≩⋰*⋻4074⨟⋌⩍⋰*⋻2578)⪛(↔((⋰*⋻999↙⋰*⋻982)⪮%⊝(⋰*⋻3205⫩⊇)))","cot":[{"info":"⋰*⋻1156⊴⋰*⋻1232=NaN","layer":3},{"info":"⋰*⋻4074⨟⋌⩍⋰*⋻2578=NaN","layer":3},{"info":"NaN∀⇚≩NaN=NaN","layer":2},{"info":"⊄⩳↩NaN=NaN","layer":1},{"info":"⋰*⋻999↙⋰*⋻982=⋰*⋻-2726","layer":3},{"info":"⋰*⋻3205⫩⊇=⋰*⋻-3177","layer":3},{"info":"⋰*⋻-2726⪮%⊝⋰*⋻-3177=⋰*⋻-5094","layer":2},{"info":"↔⋰*⋻-5094=⋰*⋻-112","layer":1},{"info":"NaN⪛⋰*⋻-112=NaN","layer":0}]}
{"id":378,"expression_no_base_symbol":"($1046$%$1020$)⪢($1071$⨽$4849$)⪘⫢(+⊝⨔($1046$⋳⪒$9980$))*($3734$⋓$1135$↙$1508$⇷$3182$⩨(↯⪼($5117$⊠≄⫣)))","expression":"(⋰*⋻871%⋰*⋻848)⪢(⋰*⋻894⨽⋰*⋻3709)⪘⫢(+⊝⨔(⋰*⋻871⋳⪒⋰*⋻7553))*(⋰*⋻2895⋓⋰*⋻942↙⋰*⋻1151⇷⋰*⋻2433⩨(↯⪼(⋰*⋻3932⊠≄⫣)))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":22289,"operation_count":13,"complexity_ratio":1714.5384615384614,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1046,"base":11},"right_expr":{"type":"numeric_atoms","value":1020,"base":11}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1071,"base":11},"right_expr":{"type":"numeric_atoms","value":4849,"base":11}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1046,"base":11},"right_expr":{"type":"numeric_atoms","value":9980,"base":11}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3734,"base":11},"right_expr":{"type":"numeric_atoms","value":1135,"base":11}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1508,"base":11},"right_expr":{"type":"numeric_atoms","value":3182,"base":11}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":5117,"base":11}}}}},"used_operators":["9HNa5Wba9A","oacrs7FA3X","dWAJyo7jo9","k8jYdgA6NY","8HhzD0ZcuI","DhbWaqg5eL","12rbrZMWeM","2DlMacCsIx","yyfyN0ffXY","T2fj7uvVaJ","mp7IySMOzn","8jW3W4yZS5","DIvbN7qnHd"],"dependent_operators":["W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","k8jYdgA6NY","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","tmPS8pqC7x","DpFCA1CohY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1046","layer":4},{"info":"number node, value=1020","layer":4},{"info":"compute binary expreesion, left_input=1046, right_input=1020, op_id = k8jYdgA6NY binary_op_definition= 'None', output=26","layer":3},{"info":"number node, value=1071","layer":4},{"info":"number node, value=4849","layer":4},{"info":"compute binary expreesion, left_input=1071, right_input=4849, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3454356","layer":3},{"info":"compute binary expreesion, left_input=26, right_input=-3454356, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1046","layer":4},{"info":"number node, value=9980","layer":4},{"info":"compute binary expreesion, left_input=1046, right_input=9980, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-8175","layer":3},{"info":"compute unary expreesion, input=-8175, 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=3734","layer":4},{"info":"number node, value=1135","layer":4},{"info":"compute binary expreesion, left_input=3734, right_input=1135, op_id = T2fj7uvVaJ binary_op_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=1508","layer":4},{"info":"number node, value=3182","layer":4},{"info":"compute binary expreesion, left_input=1508, right_input=3182, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6364","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=6364, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":2},{"info":"number node, value=5117","layer":4},{"info":"compute unary expreesion, input=5117, 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=0, right_input=-21, 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 = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻871%⋰*⋻848)⪢(⋰*⋻894⨽⋰*⋻3709)⪘⫢(+⊝⨔(⋰*⋻871⋳⪒⋰*⋻7553))*(⋰*⋻2895⋓⋰*⋻942↙⋰*⋻1151⇷⋰*⋻2433⩨(↯⪼(⋰*⋻3932⊠≄⫣)))=NaN","reverse_text":"NaN=(⋰*⋻871%⋰*⋻848)⪢(⋰*⋻894⨽⋰*⋻3709)⪘⫢(+⊝⨔(⋰*⋻871⋳⪒⋰*⋻7553))*(⋰*⋻2895⋓⋰*⋻942↙⋰*⋻1151⇷⋰*⋻2433⩨(↯⪼(⋰*⋻3932⊠≄⫣)))","cot":[{"info":"⋰*⋻871%⋰*⋻848=⋰*⋻24","layer":3},{"info":"⋰*⋻894⨽⋰*⋻3709=⋰*⋻-1A4A344","layer":3},{"info":"⋰*⋻24⪢⋰*⋻-1A4A344=NaN","layer":2},{"info":"⋰*⋻871⋳⪒⋰*⋻7553=⋰*⋻-6162","layer":3},{"info":"+⊝⨔⋰*⋻-6162=⋰*⋻1164","layer":2},{"info":"NaN⪘⫢⋰*⋻1164=NaN","layer":1},{"info":"⋰*⋻2895⋓⋰*⋻942=⋰*⋻0","layer":3},{"info":"⋰*⋻1151⇷⋰*⋻2433=⋰*⋻4866","layer":3},{"info":"⋰*⋻0↙⋰*⋻4866=⋰*⋻0","layer":2},{"info":"⋰*⋻3932⊠≄⫣=⋰*⋻0","layer":3},{"info":"↯⪼⋰*⋻0=⋰*⋻-1A","layer":2},{"info":"⋰*⋻0⩨⋰*⋻-1A=NaN","layer":1},{"info":"NaN*NaN=NaN","layer":0}]}
{"id":379,"expression_no_base_symbol":"(⨈⫕(↯⪼$7131$))⪘⫢((⨑⩽⪐$6404$)%$6380$⩚⊴⇥$2044$)*((⨰⫟⨤($6227$⩚⊴⇥$1587$))⋷($1281$↙$1497$≣⋋))","expression":"(⨈⫕(↯⪼⋰*⋻53A3))⪘⫢((⨑⩽⪐⋰*⋻48A2)%⋰*⋻4880⩚⊴⇥⋰*⋻1599)*((⨰⫟⨤(⋰*⋻4751⩚⊴⇥⋰*⋻1213))⋷(⋰*⋻A65↙⋰*⋻1141≣⋋))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":35086,"operation_count":12,"complexity_ratio":2923.8333333333335,"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":7131,"base":11}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":6404,"base":11}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":6380,"base":11},"right_expr":{"type":"numeric_atoms","value":2044,"base":11}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":6227,"base":11},"right_expr":{"type":"numeric_atoms","value":1587,"base":11}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1281,"base":11},"right_expr":{"type":"numeric_atoms","value":1497,"base":11}}}}},"used_operators":["9HNa5Wba9A","oacrs7FA3X","megm06wKyl","8jW3W4yZS5","k8jYdgA6NY","AF7qkfDlqP","NTOWxs364D","23Mk6UjR3U","Tw270M8GLb","Tcnh7f0tEr","yyfyN0ffXY"],"dependent_operators":["W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7131","layer":4},{"info":"compute unary expreesion, input=7131, 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 = 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=6404","layer":4},{"info":"compute unary expreesion, input=6404, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-6131","layer":3},{"info":"number node, value=6380","layer":4},{"info":"number node, value=2044","layer":4},{"info":"compute binary expreesion, left_input=6380, right_input=2044, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8545","layer":3},{"info":"compute binary expreesion, left_input=-6131, right_input=-8545, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-6131","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=-6131, 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=6227","layer":4},{"info":"number node, value=1587","layer":4},{"info":"compute binary expreesion, left_input=6227, right_input=1587, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7935","layer":3},{"info":"compute unary expreesion, input=-7935, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=1281","layer":4},{"info":"number node, value=1497","layer":4},{"info":"compute binary expreesion, left_input=1281, right_input=1497, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4491","layer":3},{"info":"compute unary expreesion, input=-4491, 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 = 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=-1, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⨈⫕(↯⪼⋰*⋻53A3))⪘⫢((⨑⩽⪐⋰*⋻48A2)%⋰*⋻4880⩚⊴⇥⋰*⋻1599)*((⨰⫟⨤(⋰*⋻4751⩚⊴⇥⋰*⋻1213))⋷(⋰*⋻A65↙⋰*⋻1141≣⋋))=NaN","reverse_text":"NaN=(⨈⫕(↯⪼⋰*⋻53A3))⪘⫢((⨑⩽⪐⋰*⋻48A2)%⋰*⋻4880⩚⊴⇥⋰*⋻1599)*((⨰⫟⨤(⋰*⋻4751⩚⊴⇥⋰*⋻1213))⋷(⋰*⋻A65↙⋰*⋻1141≣⋋))","cot":[{"info":"↯⪼⋰*⋻53A3=⋰*⋻-1A","layer":3},{"info":"⨈⫕⋰*⋻-1A=⋰*⋻-1A","layer":2},{"info":"⨑⩽⪐⋰*⋻48A2=⋰*⋻-4674","layer":3},{"info":"⋰*⋻4880⩚⊴⇥⋰*⋻1599=⋰*⋻-6469","layer":3},{"info":"⋰*⋻-4674%⋰*⋻-6469=⋰*⋻-4674","layer":2},{"info":"⋰*⋻-1A⪘⫢⋰*⋻-4674=⋰*⋻-1","layer":1},{"info":"⋰*⋻4751⩚⊴⇥⋰*⋻1213=⋰*⋻-5A64","layer":3},{"info":"⨰⫟⨤⋰*⋻-5A64=NaN","layer":2},{"info":"⋰*⋻A65↙⋰*⋻1141=⋰*⋻-3413","layer":3},{"info":"⋰*⋻-3413≣⋋=⋰*⋻0","layer":2},{"info":"NaN⋷⋰*⋻0=NaN","layer":1},{"info":"⋰*⋻-1*NaN=NaN","layer":0}]}
{"id":380,"expression_no_base_symbol":"↔(⨑⩽⪐(($2103$↛⩡⫤)⫸⊐(∂$8239$)))","expression":"↔(⨑⩽⪐((⋰*⋻1642↛⩡⫤)⫸⊐(∂⋰*⋻6210)))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":6474,"operation_count":5,"complexity_ratio":1294.8,"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":2103,"base":11}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":8239,"base":11}}}}},"used_operators":["ruOEQAzv1W","AF7qkfDlqP","mqXw5SEYmG","FU0Cs4j7VP","Uaa54Peajs"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"⋰*⋻-112","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2103","layer":4},{"info":"compute unary expreesion, input=2103, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-313642","layer":3},{"info":"number node, value=8239","layer":4},{"info":"compute unary expreesion, input=8239, 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=-313642, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":2},{"info":"compute unary expreesion, input=968, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-695","layer":1},{"info":"compute unary expreesion, input=-695, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":0}],"base":11,"result_base":11,"text":"↔(⨑⩽⪐((⋰*⋻1642↛⩡⫤)⫸⊐(∂⋰*⋻6210)))=⋰*⋻-112","reverse_text":"⋰*⋻-112=↔(⨑⩽⪐((⋰*⋻1642↛⩡⫤)⫸⊐(∂⋰*⋻6210)))","cot":[{"info":"⋰*⋻1642↛⩡⫤=⋰*⋻-1A470A","layer":3},{"info":"∂⋰*⋻6210=NaN","layer":3},{"info":"⋰*⋻-1A470A⫸⊐NaN=⋰*⋻800","layer":2},{"info":"⨑⩽⪐⋰*⋻800=⋰*⋻-582","layer":1},{"info":"↔⋰*⋻-582=⋰*⋻-112","layer":0}]}
{"id":381,"expression_no_base_symbol":"((($2653$⨐⩸⫘$1144$)⇋≉)-($1210$⊠≄⫣)≹⇙⪍(↥$2735$))≹⇙⪍((↯⪼$1737$)⨰$4159$≹⇙⪍$5097$%(≉$2995$+⇶⊼$4817$))","expression":"(((⋰*⋻1AA2⨐⩸⫘⋰*⋻950)⇋≉)-(⋰*⋻A00⊠≄⫣)≹⇙⪍(↥⋰*⋻2067))≹⇙⪍((↯⪼⋰*⋻133A)⨰⋰*⋻3141≹⇙⪍⋰*⋻3914%(≉⋰*⋻2283+⇶⊼⋰*⋻368A))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1127,"operation_count":13,"complexity_ratio":86.6923076923077,"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":2653,"base":11},"right_expr":{"type":"numeric_atoms","value":1144,"base":11}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1210,"base":11}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2735,"base":11}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1737,"base":11}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":4159,"base":11},"right_expr":{"type":"numeric_atoms","value":5097,"base":11}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2995,"base":11},"right_expr":{"type":"numeric_atoms","value":4817,"base":11}}}}},"used_operators":["AHs5Up7iyr","rysDP5nf3Z","XIabStNQrY","fu6greOZ01","DIvbN7qnHd","A8NUZmVepG","k8jYdgA6NY","eewbuw0ToL","8jW3W4yZS5","e1ybzncUwg","TpPTUOHfaN"],"dependent_operators":["dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=2653","layer":4},{"info":"number node, value=1144","layer":4},{"info":"compute binary expreesion, left_input=2653, right_input=1144, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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":"number node, value=1210","layer":4},{"info":"compute unary expreesion, input=1210, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=2735","layer":4},{"info":"compute unary expreesion, input=2735, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=32","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=32, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1737","layer":4},{"info":"compute unary expreesion, input=1737, 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=4159","layer":4},{"info":"number node, value=5097","layer":4},{"info":"compute binary expreesion, left_input=4159, right_input=5097, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=-21, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"number node, value=2995","layer":4},{"info":"number node, value=4817","layer":4},{"info":"compute binary expreesion, left_input=2995, right_input=4817, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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 = 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 = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻1AA2⨐⩸⫘⋰*⋻950)⇋≉)-(⋰*⋻A00⊠≄⫣)≹⇙⪍(↥⋰*⋻2067))≹⇙⪍((↯⪼⋰*⋻133A)⨰⋰*⋻3141≹⇙⪍⋰*⋻3914%(≉⋰*⋻2283+⇶⊼⋰*⋻368A))=NaN","reverse_text":"NaN=(((⋰*⋻1AA2⨐⩸⫘⋰*⋻950)⇋≉)-(⋰*⋻A00⊠≄⫣)≹⇙⪍(↥⋰*⋻2067))≹⇙⪍((↯⪼⋰*⋻133A)⨰⋰*⋻3141≹⇙⪍⋰*⋻3914%(≉⋰*⋻2283+⇶⊼⋰*⋻368A))","cot":[{"info":"⋰*⋻1AA2⨐⩸⫘⋰*⋻950=NaN","layer":3},{"info":"NaN⇋≉=NaN","layer":2},{"info":"⋰*⋻A00⊠≄⫣=⋰*⋻0","layer":3},{"info":"↥⋰*⋻2067=⋰*⋻2A","layer":3},{"info":"⋰*⋻0≹⇙⪍⋰*⋻2A=NaN","layer":2},{"info":"NaN-NaN=NaN","layer":1},{"info":"↯⪼⋰*⋻133A=⋰*⋻-1A","layer":3},{"info":"⋰*⋻3141≹⇙⪍⋰*⋻3914=NaN","layer":3},{"info":"⋰*⋻-1A⨰NaN=NaN","layer":2},{"info":"⋰*⋻2283+⇶⊼⋰*⋻368A=NaN","layer":3},{"info":"≉NaN=NaN","layer":2},{"info":"NaN%NaN=NaN","layer":1},{"info":"NaN≹⇙⪍NaN=NaN","layer":0}]}
{"id":382,"expression_no_base_symbol":"⨈⫕($2138$%$2486$+(≦∁$1941$))⪘⫢($1696$⨓$1973$+⇶⊼(↣≠⋷$1323$))","expression":"⨈⫕(⋰*⋻1674%⋰*⋻1960+(≦∁⋰*⋻1505))⪘⫢(⋰*⋻1302⨓⋰*⋻1534+⇶⊼(↣≠⋷⋰*⋻AA3))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2381,"operation_count":8,"complexity_ratio":297.625,"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":2138,"base":11},"right_expr":{"type":"numeric_atoms","value":2486,"base":11}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1941,"base":11}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1696,"base":11},"right_expr":{"type":"numeric_atoms","value":1973,"base":11}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1323,"base":11}}}}},"used_operators":["megm06wKyl","oacrs7FA3X","W4YGzv6Whe","k8jYdgA6NY","9ICcGScMcE","TpPTUOHfaN","3ViojmjbAp","Asc51vEJeQ"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","AHs5Up7iyr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","XhwjNDsVaA","AHs5Up7iyr"],"result":"⋰*⋻-1A","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2138","layer":4},{"info":"number node, value=2486","layer":4},{"info":"compute binary expreesion, left_input=2138, right_input=2486, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2138","layer":3},{"info":"number node, value=1941","layer":4},{"info":"compute unary expreesion, input=1941, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1941","layer":3},{"info":"compute binary expreesion, left_input=2138, right_input=1941, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4079","layer":2},{"info":"number node, value=1696","layer":4},{"info":"number node, value=1973","layer":4},{"info":"compute binary expreesion, left_input=1696, right_input=1973, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1976","layer":3},{"info":"number node, value=1323","layer":4},{"info":"compute unary expreesion, input=1323, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1976, 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=4079, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":1},{"info":"compute 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":11,"result_base":11,"text":"⨈⫕(⋰*⋻1674%⋰*⋻1960+(≦∁⋰*⋻1505))⪘⫢(⋰*⋻1302⨓⋰*⋻1534+⇶⊼(↣≠⋷⋰*⋻AA3))=⋰*⋻-1A","reverse_text":"⋰*⋻-1A=⨈⫕(⋰*⋻1674%⋰*⋻1960+(≦∁⋰*⋻1505))⪘⫢(⋰*⋻1302⨓⋰*⋻1534+⇶⊼(↣≠⋷⋰*⋻AA3))","cot":[{"info":"⋰*⋻1674%⋰*⋻1960=⋰*⋻1674","layer":3},{"info":"≦∁⋰*⋻1505=⋰*⋻1505","layer":3},{"info":"⋰*⋻1674+⋰*⋻1505=⋰*⋻3079","layer":2},{"info":"⋰*⋻1302⨓⋰*⋻1534=⋰*⋻-1537","layer":3},{"info":"↣≠⋷⋰*⋻AA3=NaN","layer":3},{"info":"⋰*⋻-1537+⇶⊼NaN=NaN","layer":2},{"info":"⋰*⋻3079⪘⫢NaN=NaN","layer":1},{"info":"⨈⫕NaN=⋰*⋻-1A","layer":0}]}
{"id":383,"expression_no_base_symbol":"(($2614$⊘)≭($1908$⩚⊴⇥$3980$)⊭∹↮)⪛($2348$⊉≛↸$1276$%$4612$⨐⩸⫘$5010$⨵⪆($8747$∼$2752$⫡⨏($2077$≫≃)))","expression":"((⋰*⋻1A67⊘)≭(⋰*⋻1485⩚⊴⇥⋰*⋻2A99)⊭∹↮)⪛(⋰*⋻1845⊉≛↸⋰*⋻A60%⋰*⋻3513⨐⩸⫘⋰*⋻3845⨵⪆(⋰*⋻6632∼⋰*⋻2082⫡⨏(⋰*⋻1619≫≃)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":225,"operation_count":12,"complexity_ratio":18.75,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":2614,"base":11}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1908,"base":11},"right_expr":{"type":"numeric_atoms","value":3980,"base":11}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2348,"base":11},"right_expr":{"type":"numeric_atoms","value":1276,"base":11}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4612,"base":11},"right_expr":{"type":"numeric_atoms","value":5010,"base":11}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":8747,"base":11},"right_expr":{"type":"numeric_atoms","value":2752,"base":11}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":2077,"base":11}}}}},"used_operators":["uFcxV4UQCh","xNBdhnnwKq","rxpJgHHUmx","gu96TGCTMs","NTOWxs364D","2DQ55sFlQl","k8jYdgA6NY","DZ8iAZOCBD","fu6greOZ01","QMFrweE19q","DyGG3AbaNP","X99M06cbEe"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","AHs5Up7iyr","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2614","layer":4},{"info":"compute unary expreesion, input=2614, 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=1908","layer":4},{"info":"number node, value=3980","layer":4},{"info":"compute binary expreesion, left_input=1908, right_input=3980, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6009","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-6009, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=nan","layer":1},{"info":"number node, value=2348","layer":4},{"info":"number node, value=1276","layer":4},{"info":"compute binary expreesion, left_input=2348, right_input=1276, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4696","layer":3},{"info":"number node, value=4612","layer":4},{"info":"number node, value=5010","layer":4},{"info":"compute binary expreesion, left_input=4612, right_input=5010, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=4696, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=8747","layer":4},{"info":"number node, value=2752","layer":4},{"info":"compute binary expreesion, left_input=8747, right_input=2752, 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=2077","layer":4},{"info":"compute unary expreesion, input=2077, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=5555","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5555, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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 = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1A67⊘)≭(⋰*⋻1485⩚⊴⇥⋰*⋻2A99)⊭∹↮)⪛(⋰*⋻1845⊉≛↸⋰*⋻A60%⋰*⋻3513⨐⩸⫘⋰*⋻3845⨵⪆(⋰*⋻6632∼⋰*⋻2082⫡⨏(⋰*⋻1619≫≃)))=NaN","reverse_text":"NaN=((⋰*⋻1A67⊘)≭(⋰*⋻1485⩚⊴⇥⋰*⋻2A99)⊭∹↮)⪛(⋰*⋻1845⊉≛↸⋰*⋻A60%⋰*⋻3513⨐⩸⫘⋰*⋻3845⨵⪆(⋰*⋻6632∼⋰*⋻2082⫡⨏(⋰*⋻1619≫≃)))","cot":[{"info":"⋰*⋻1A67⊘=⋰*⋻0","layer":3},{"info":"⋰*⋻1485⩚⊴⇥⋰*⋻2A99=⋰*⋻-4573","layer":3},{"info":"⋰*⋻0≭⋰*⋻-4573=NaN","layer":2},{"info":"NaN⊭∹↮=NaN","layer":1},{"info":"⋰*⋻1845⊉≛↸⋰*⋻A60=⋰*⋻358A","layer":3},{"info":"⋰*⋻3513⨐⩸⫘⋰*⋻3845=NaN","layer":3},{"info":"⋰*⋻358A%NaN=NaN","layer":2},{"info":"⋰*⋻6632∼⋰*⋻2082=NaN","layer":3},{"info":"⋰*⋻1619≫≃=⋰*⋻41A0","layer":3},{"info":"NaN⫡⨏⋰*⋻41A0=NaN","layer":2},{"info":"NaN⨵⪆NaN=⋰*⋻136","layer":1},{"info":"NaN⪛⋰*⋻136=NaN","layer":0}]}
{"id":384,"expression_no_base_symbol":"(($2908$⫥∨⫟$1122$⪄(↯⪼$1736$))⊠≄⫣)⋓($1027$∼$6813$↬($1386$⪄$5558$)⨐⩸⫘($2973$≎⊠⪸$3310$⨵⪆$3610$↬$1106$))","expression":"((⋰*⋻2204⫥∨⫟⋰*⋻930⪄(↯⪼⋰*⋻1339))⊠≄⫣)⋓(⋰*⋻854∼⋰*⋻5134↬(⋰*⋻1050⪄⋰*⋻41A3)⨐⩸⫘(⋰*⋻2263≎⊠⪸⋰*⋻253A⨵⪆⋰*⋻2792↬⋰*⋻916))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":27173,"operation_count":12,"complexity_ratio":2264.4166666666665,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2908,"base":11},"right_expr":{"type":"numeric_atoms","value":1122,"base":11}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1736,"base":11}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1027,"base":11},"right_expr":{"type":"numeric_atoms","value":6813,"base":11}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1386,"base":11},"right_expr":{"type":"numeric_atoms","value":5558,"base":11}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2973,"base":11},"right_expr":{"type":"numeric_atoms","value":3310,"base":11}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3610,"base":11},"right_expr":{"type":"numeric_atoms","value":1106,"base":11}}}}},"used_operators":["T2fj7uvVaJ","DIvbN7qnHd","SUmda5xLS4","KYD54nUTWz","8jW3W4yZS5","fu6greOZ01","B5M0gjZbta","DyGG3AbaNP","2DQ55sFlQl","bJkvcejdHO"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","8HhzD0ZcuI","rGHVDoGpnC","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","3ViojmjbAp","rGHVDoGpnC","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2908","layer":4},{"info":"number node, value=1122","layer":4},{"info":"compute binary expreesion, left_input=2908, right_input=1122, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1736","layer":4},{"info":"compute unary expreesion, input=1736, 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 = 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 = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"number node, value=1027","layer":4},{"info":"number node, value=6813","layer":4},{"info":"compute binary expreesion, left_input=1027, right_input=6813, 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=1386","layer":4},{"info":"number node, value=5558","layer":4},{"info":"compute binary expreesion, left_input=1386, right_input=5558, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-223449","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-223449, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=2973","layer":4},{"info":"number node, value=3310","layer":4},{"info":"compute binary expreesion, left_input=2973, right_input=3310, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=769534","layer":3},{"info":"number node, value=3610","layer":4},{"info":"number node, value=1106","layer":4},{"info":"compute binary expreesion, left_input=3610, right_input=1106, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=769534, 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=nan, right_input=160, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-163","layer":1},{"info":"compute binary expreesion, left_input=0, 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":0}],"base":11,"result_base":11,"text":"((⋰*⋻2204⫥∨⫟⋰*⋻930⪄(↯⪼⋰*⋻1339))⊠≄⫣)⋓(⋰*⋻854∼⋰*⋻5134↬(⋰*⋻1050⪄⋰*⋻41A3)⨐⩸⫘(⋰*⋻2263≎⊠⪸⋰*⋻253A⨵⪆⋰*⋻2792↬⋰*⋻916))=⋰*⋻0","reverse_text":"⋰*⋻0=((⋰*⋻2204⫥∨⫟⋰*⋻930⪄(↯⪼⋰*⋻1339))⊠≄⫣)⋓(⋰*⋻854∼⋰*⋻5134↬(⋰*⋻1050⪄⋰*⋻41A3)⨐⩸⫘(⋰*⋻2263≎⊠⪸⋰*⋻253A⨵⪆⋰*⋻2792↬⋰*⋻916))","cot":[{"info":"⋰*⋻2204⫥∨⫟⋰*⋻930=NaN","layer":3},{"info":"↯⪼⋰*⋻1339=⋰*⋻-1A","layer":3},{"info":"NaN⪄⋰*⋻-1A=⋰*⋻2A98","layer":2},{"info":"⋰*⋻2A98⊠≄⫣=⋰*⋻0","layer":1},{"info":"⋰*⋻854∼⋰*⋻5134=NaN","layer":3},{"info":"⋰*⋻1050⪄⋰*⋻41A3=⋰*⋻-142976","layer":3},{"info":"NaN↬⋰*⋻-142976=NaN","layer":2},{"info":"⋰*⋻2263≎⊠⪸⋰*⋻253A=⋰*⋻486187","layer":3},{"info":"⋰*⋻2792↬⋰*⋻916=NaN","layer":3},{"info":"⋰*⋻486187⨵⪆NaN=⋰*⋻136","layer":2},{"info":"NaN⨐⩸⫘⋰*⋻136=⋰*⋻-139","layer":1},{"info":"⋰*⋻0⋓⋰*⋻-139=⋰*⋻0","layer":0}]}
{"id":385,"expression_no_base_symbol":"(($2009$*$3534$)⨁⊸⫻)⋳⪒(⪝⪂⫅(⊄⩳↩$1604$))⨐⩸⫘(⋗⩬⋾$2524$↬$1097$)∼(($1914$⊦⊿)⪄($3540$⇼⇔∾$1395$))","expression":"((⋰*⋻1567*⋰*⋻2723)⨁⊸⫻)⋳⪒(⪝⪂⫅(⊄⩳↩⋰*⋻1229))⨐⩸⫘(⋗⩬⋾⋰*⋻1995↬⋰*⋻908)∼((⋰*⋻1490⊦⊿)⪄(⋰*⋻2729⇼⇔∾⋰*⋻1059))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2278,"operation_count":12,"complexity_ratio":189.83333333333334,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2009,"base":11},"right_expr":{"type":"numeric_atoms","value":3534,"base":11}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1604,"base":11}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2524,"base":11},"right_expr":{"type":"numeric_atoms","value":1097,"base":11}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1914,"base":11}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3540,"base":11},"right_expr":{"type":"numeric_atoms","value":1395,"base":11}}}}},"used_operators":["fu6greOZ01","12rbrZMWeM","glklzrTFfD","9HNa5Wba9A","XTarYq4gQB","8w2t5hMYqp","DyGG3AbaNP","DpFCA1CohY","B5M0gjZbta","SUmda5xLS4","14qkJME0vr","tifHPKVTfV"],"dependent_operators":["3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2009","layer":4},{"info":"number node, value=3534","layer":4},{"info":"compute binary expreesion, left_input=2009, right_input=3534, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=7099806","layer":3},{"info":"compute unary expreesion, input=7099806, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=7099806","layer":2},{"info":"number node, value=1604","layer":4},{"info":"compute unary expreesion, input=1604, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-4812","layer":3},{"info":"compute unary expreesion, input=-4812, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=707364","layer":2},{"info":"compute binary expreesion, left_input=7099806, right_input=707364, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=13491961","layer":1},{"info":"number node, value=2524","layer":4},{"info":"number node, value=1097","layer":4},{"info":"compute binary expreesion, left_input=2524, right_input=1097, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=nan","layer":2},{"info":"number node, value=1914","layer":4},{"info":"compute unary expreesion, input=1914, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-5821","layer":3},{"info":"number node, value=3540","layer":4},{"info":"number node, value=1395","layer":4},{"info":"compute binary expreesion, left_input=3540, right_input=1395, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-2145","layer":3},{"info":"compute binary expreesion, left_input=-5821, right_input=-2145, 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 = 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=13491961, 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":11,"result_base":11,"text":"((⋰*⋻1567*⋰*⋻2723)⨁⊸⫻)⋳⪒(⪝⪂⫅(⊄⩳↩⋰*⋻1229))⨐⩸⫘(⋗⩬⋾⋰*⋻1995↬⋰*⋻908)∼((⋰*⋻1490⊦⊿)⪄(⋰*⋻2729⇼⇔∾⋰*⋻1059))=NaN","reverse_text":"NaN=((⋰*⋻1567*⋰*⋻2723)⨁⊸⫻)⋳⪒(⪝⪂⫅(⊄⩳↩⋰*⋻1229))⨐⩸⫘(⋗⩬⋾⋰*⋻1995↬⋰*⋻908)∼((⋰*⋻1490⊦⊿)⪄(⋰*⋻2729⇼⇔∾⋰*⋻1059))","cot":[{"info":"⋰*⋻1567*⋰*⋻2723=⋰*⋻400A20A","layer":3},{"info":"⋰*⋻400A20A⨁⊸⫻=⋰*⋻400A20A","layer":2},{"info":"⊄⩳↩⋰*⋻1229=⋰*⋻-3685","layer":3},{"info":"⪝⪂⫅⋰*⋻-3685=⋰*⋻4434A9","layer":2},{"info":"⋰*⋻400A20A⋳⪒⋰*⋻4434A9=⋰*⋻768578A","layer":1},{"info":"⋰*⋻1995↬⋰*⋻908=NaN","layer":3},{"info":"⋗⩬⋾NaN=NaN","layer":2},{"info":"⋰*⋻1490⊦⊿=⋰*⋻-4412","layer":3},{"info":"⋰*⋻2729⇼⇔∾⋰*⋻1059=⋰*⋻-1680","layer":3},{"info":"⋰*⋻-4412⪄⋰*⋻-1680=⋰*⋻2A98","layer":2},{"info":"NaN∼⋰*⋻2A98=NaN","layer":1},{"info":"⋰*⋻768578A⨐⩸⫘NaN=NaN","layer":0}]}
{"id":386,"expression_no_base_symbol":"(($2591$∧)⋓($6242$⩚⊴⇥$1020$)↺($2034$∲⫓$1716$)⩷∴($3308$∲⫓$4092$))⩚⊴⇥($2626$⇷$1297$⨰($3292$⪨≂$4799$)↪⪝)","expression":"((⋰*⋻1A46∧)⋓(⋰*⋻4765⩚⊴⇥⋰*⋻848)↺(⋰*⋻158A∲⫓⋰*⋻1320)⩷∴(⋰*⋻2538∲⫓⋰*⋻3090))⩚⊴⇥(⋰*⋻1A78⇷⋰*⋻A7A⨰(⋰*⋻2523⪨≂⋰*⋻3673)↪⪝)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":37518,"operation_count":12,"complexity_ratio":3126.5,"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":2591,"base":11}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":6242,"base":11},"right_expr":{"type":"numeric_atoms","value":1020,"base":11}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2034,"base":11},"right_expr":{"type":"numeric_atoms","value":1716,"base":11}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3308,"base":11},"right_expr":{"type":"numeric_atoms","value":4092,"base":11}}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2626,"base":11},"right_expr":{"type":"numeric_atoms","value":1297,"base":11}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3292,"base":11},"right_expr":{"type":"numeric_atoms","value":4799,"base":11}}}}},"used_operators":["NTOWxs364D","7j4O788W3g","T2fj7uvVaJ","z63VuFQld9","9FxExcQeMw","i8ToyICDmI","l07mrZUIn9","eewbuw0ToL","mp7IySMOzn","sdazOOVcIp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⋰*⋻-1635537A1","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2591","layer":4},{"info":"compute unary expreesion, input=2591, 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=6242","layer":4},{"info":"number node, value=1020","layer":4},{"info":"compute binary expreesion, left_input=6242, right_input=1020, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7383","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-7383, op_id = T2fj7uvVaJ binary_op_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=2034","layer":4},{"info":"number node, value=1716","layer":4},{"info":"compute binary expreesion, left_input=2034, right_input=1716, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=3308","layer":4},{"info":"number node, value=4092","layer":4},{"info":"compute binary expreesion, left_input=3308, right_input=4092, 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 = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-32","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-32, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-32","layer":1},{"info":"number node, value=2626","layer":4},{"info":"number node, value=1297","layer":4},{"info":"compute binary expreesion, left_input=2626, right_input=1297, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2594","layer":3},{"info":"number node, value=3292","layer":4},{"info":"number node, value=4799","layer":4},{"info":"compute binary expreesion, left_input=3292, right_input=4799, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-2912","layer":3},{"info":"compute binary expreesion, left_input=2594, right_input=-2912, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=5516","layer":2},{"info":"compute unary expreesion, input=5516, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=337479912","layer":1},{"info":"compute binary expreesion, left_input=-32, right_input=337479912, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-337480001","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1A46∧)⋓(⋰*⋻4765⩚⊴⇥⋰*⋻848)↺(⋰*⋻158A∲⫓⋰*⋻1320)⩷∴(⋰*⋻2538∲⫓⋰*⋻3090))⩚⊴⇥(⋰*⋻1A78⇷⋰*⋻A7A⨰(⋰*⋻2523⪨≂⋰*⋻3673)↪⪝)=⋰*⋻-1635537A1","reverse_text":"⋰*⋻-1635537A1=((⋰*⋻1A46∧)⋓(⋰*⋻4765⩚⊴⇥⋰*⋻848)↺(⋰*⋻158A∲⫓⋰*⋻1320)⩷∴(⋰*⋻2538∲⫓⋰*⋻3090))⩚⊴⇥(⋰*⋻1A78⇷⋰*⋻A7A⨰(⋰*⋻2523⪨≂⋰*⋻3673)↪⪝)","cot":[{"info":"⋰*⋻1A46∧=NaN","layer":3},{"info":"⋰*⋻4765⩚⊴⇥⋰*⋻848=⋰*⋻-5602","layer":3},{"info":"NaN⋓⋰*⋻-5602=⋰*⋻0","layer":2},{"info":"⋰*⋻158A∲⫓⋰*⋻1320=⋰*⋻0","layer":3},{"info":"⋰*⋻2538∲⫓⋰*⋻3090=⋰*⋻0","layer":3},{"info":"⋰*⋻0⩷∴⋰*⋻0=⋰*⋻-2A","layer":2},{"info":"⋰*⋻0↺⋰*⋻-2A=⋰*⋻-2A","layer":1},{"info":"⋰*⋻1A78⇷⋰*⋻A7A=⋰*⋻1A49","layer":3},{"info":"⋰*⋻2523⪨≂⋰*⋻3673=⋰*⋻-2208","layer":3},{"info":"⋰*⋻1A49⨰⋰*⋻-2208=⋰*⋻4165","layer":2},{"info":"⋰*⋻4165↪⪝=⋰*⋻163553720","layer":1},{"info":"⋰*⋻-2A⩚⊴⇥⋰*⋻163553720=⋰*⋻-1635537A1","layer":0}]}
{"id":387,"expression_no_base_symbol":"↽≂((≤/($2287$⩨$4301$))↺(↩$4515$⊴$3210$))","expression":"↽≂((≤/(⋰*⋻179A⩨⋰*⋻3260))↺(↩⋰*⋻3435⊴⋰*⋻2459))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3308,"operation_count":6,"complexity_ratio":551.3333333333334,"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":2287,"base":11},"right_expr":{"type":"numeric_atoms","value":4301,"base":11}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4515,"base":11},"right_expr":{"type":"numeric_atoms","value":3210,"base":11}}}}},"used_operators":["u6S6b8DprG","7j4O788W3g","eLAdDNolq6","2DlMacCsIx","jLgFTUHLKL","Nsiff2A1zJ"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2287","layer":4},{"info":"number node, value=4301","layer":4},{"info":"compute binary expreesion, left_input=2287, right_input=4301, 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 = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=487","layer":2},{"info":"number node, value=4515","layer":4},{"info":"number node, value=3210","layer":4},{"info":"compute binary expreesion, left_input=4515, right_input=3210, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', 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=487, 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 = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"↽≂((≤/(⋰*⋻179A⩨⋰*⋻3260))↺(↩⋰*⋻3435⊴⋰*⋻2459))=NaN","reverse_text":"NaN=↽≂((≤/(⋰*⋻179A⩨⋰*⋻3260))↺(↩⋰*⋻3435⊴⋰*⋻2459))","cot":[{"info":"⋰*⋻179A⩨⋰*⋻3260=⋰*⋻-3","layer":3},{"info":"≤/⋰*⋻-3=⋰*⋻403","layer":2},{"info":"⋰*⋻3435⊴⋰*⋻2459=NaN","layer":3},{"info":"↩NaN=NaN","layer":2},{"info":"⋰*⋻403↺NaN=NaN","layer":1},{"info":"↽≂NaN=NaN","layer":0}]}
{"id":388,"expression_no_base_symbol":"⊄⩳↩(-$1173$≭$2298$⊭↱$3297$↺$2608$)","expression":"⊄⩳↩(-⋰*⋻977≭⋰*⋻17AA⊭↱⋰*⋻2528↺⋰*⋻1A61)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":13,"operation_count":5,"complexity_ratio":2.6,"tree":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1173,"base":11},"right_expr":{"type":"numeric_atoms","value":2298,"base":11}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3297,"base":11},"right_expr":{"type":"numeric_atoms","value":2608,"base":11}}}}},"used_operators":["8w2t5hMYqp","t8gj7n24qd","COABgblf1C","rxpJgHHUmx","7j4O788W3g"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=1173","layer":4},{"info":"number node, value=2298","layer":4},{"info":"compute binary expreesion, left_input=1173, right_input=2298, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=3297","layer":4},{"info":"number node, value=2608","layer":4},{"info":"compute binary expreesion, left_input=3297, right_input=2608, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2608","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2608, 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 = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⊄⩳↩(-⋰*⋻977≭⋰*⋻17AA⊭↱⋰*⋻2528↺⋰*⋻1A61)=NaN","reverse_text":"NaN=⊄⩳↩(-⋰*⋻977≭⋰*⋻17AA⊭↱⋰*⋻2528↺⋰*⋻1A61)","cot":[{"info":"⋰*⋻977≭⋰*⋻17AA=NaN","layer":3},{"info":"⋰*⋻2528↺⋰*⋻1A61=⋰*⋻1A61","layer":3},{"info":"NaN⊭↱⋰*⋻1A61=NaN","layer":2},{"info":"-NaN=NaN","layer":1},{"info":"⊄⩳↩NaN=NaN","layer":0}]}
{"id":389,"expression_no_base_symbol":"((⫓⪴$4378$⪛$4723$)⫸⊐((⋗⩬⋾$1773$)⩨(≤/$2926$)))≹⇙⪍(($1092$⪮%⊝$9296$⩠)⨳⩥⨓($1847$⪘⫢$1619$↺($8720$⨵⪆$3192$)))","expression":"((⫓⪴⋰*⋻3320⪛⋰*⋻3604)⫸⊐((⋗⩬⋾⋰*⋻1372)⩨(≤/⋰*⋻2220)))≹⇙⪍((⋰*⋻903⪮%⊝⋰*⋻6A91⩠)⨳⩥⨓(⋰*⋻142A⪘⫢⋰*⋻1242↺(⋰*⋻6608⨵⪆⋰*⋻2442)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":30106,"operation_count":13,"complexity_ratio":2315.846153846154,"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":4378,"base":11},"right_expr":{"type":"numeric_atoms","value":4723,"base":11}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1773,"base":11}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2926,"base":11}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1092,"base":11},"right_expr":{"type":"numeric_atoms","value":9296,"base":11}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1847,"base":11},"right_expr":{"type":"numeric_atoms","value":1619,"base":11}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":8720,"base":11},"right_expr":{"type":"numeric_atoms","value":3192,"base":11}}}}},"used_operators":["AHs5Up7iyr","mqXw5SEYmG","eLxqMNBOBk","uFcxV4UQCh","2DlMacCsIx","DpFCA1CohY","eLAdDNolq6","nCS4ZIUYfx","sJAwomhLZr","IWmyXbctLI","7j4O788W3g","oacrs7FA3X","2DQ55sFlQl"],"dependent_operators":["dWAJyo7jo9","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9HNa5Wba9A","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4378","layer":4},{"info":"number node, value=4723","layer":4},{"info":"compute binary expreesion, left_input=4378, right_input=4723, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=4378","layer":3},{"info":"compute unary expreesion, input=4378, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=19166884","layer":2},{"info":"number node, value=1773","layer":4},{"info":"compute unary expreesion, input=1773, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-5319","layer":3},{"info":"number node, value=2926","layer":4},{"info":"compute unary expreesion, input=2926, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2442","layer":3},{"info":"compute binary expreesion, left_input=-5319, right_input=-2442, 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=19166884, 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":1},{"info":"number node, value=1092","layer":4},{"info":"number node, value=9296","layer":4},{"info":"compute binary expreesion, left_input=1092, right_input=9296, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2500","layer":3},{"info":"compute unary expreesion, input=2500, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":2},{"info":"number node, value=1847","layer":4},{"info":"number node, value=1619","layer":4},{"info":"compute binary expreesion, left_input=1847, right_input=1619, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3570","layer":3},{"info":"number node, value=8720","layer":4},{"info":"number node, value=3192","layer":4},{"info":"compute binary expreesion, left_input=8720, right_input=3192, 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=3570, 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 binary expreesion, left_input=0, right_input=160, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=-125, 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":0}],"base":11,"result_base":11,"text":"((⫓⪴⋰*⋻3320⪛⋰*⋻3604)⫸⊐((⋗⩬⋾⋰*⋻1372)⩨(≤/⋰*⋻2220)))≹⇙⪍((⋰*⋻903⪮%⊝⋰*⋻6A91⩠)⨳⩥⨓(⋰*⋻142A⪘⫢⋰*⋻1242↺(⋰*⋻6608⨵⪆⋰*⋻2442)))=NaN","reverse_text":"NaN=((⫓⪴⋰*⋻3320⪛⋰*⋻3604)⫸⊐((⋗⩬⋾⋰*⋻1372)⩨(≤/⋰*⋻2220)))≹⇙⪍((⋰*⋻903⪮%⊝⋰*⋻6A91⩠)⨳⩥⨓(⋰*⋻142A⪘⫢⋰*⋻1242↺(⋰*⋻6608⨵⪆⋰*⋻2442)))","cot":[{"info":"⋰*⋻3320⪛⋰*⋻3604=⋰*⋻3320","layer":3},{"info":"⫓⪴⋰*⋻3320=⋰*⋻A901400","layer":2},{"info":"⋗⩬⋾⋰*⋻1372=⋰*⋻-3AA6","layer":3},{"info":"≤/⋰*⋻2220=⋰*⋻-1920","layer":3},{"info":"⋰*⋻-3AA6⩨⋰*⋻-1920=⋰*⋻0","layer":2},{"info":"⋰*⋻A901400⫸⊐⋰*⋻0=⋰*⋻-104","layer":1},{"info":"⋰*⋻903⪮%⊝⋰*⋻6A91=⋰*⋻1973","layer":3},{"info":"⋰*⋻1973⩠=⋰*⋻0","layer":2},{"info":"⋰*⋻142A⪘⫢⋰*⋻1242=⋰*⋻2756","layer":3},{"info":"⋰*⋻6608⨵⪆⋰*⋻2442=⋰*⋻136","layer":3},{"info":"⋰*⋻2756↺⋰*⋻136=⋰*⋻136","layer":2},{"info":"⋰*⋻0⨳⩥⨓⋰*⋻136=⋰*⋻136","layer":1},{"info":"⋰*⋻-104≹⇙⪍⋰*⋻136=NaN","layer":0}]}
{"id":390,"expression_no_base_symbol":"↯⪼((⨑⩽⪐$7276$⩷∴$1030$)⊉≛↸($1701$≫≃)⇷($4653$⨎$2401$))","expression":"↯⪼((⨑⩽⪐⋰*⋻5515⩷∴⋰*⋻857)⊉≛↸(⋰*⋻1307≫≃)⇷(⋰*⋻3550⨎⋰*⋻1893))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":67283,"operation_count":7,"complexity_ratio":9611.857142857143,"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":7276,"base":11},"right_expr":{"type":"numeric_atoms","value":1030,"base":11}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1701,"base":11}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4653,"base":11},"right_expr":{"type":"numeric_atoms","value":2401,"base":11}}}}},"used_operators":["8jW3W4yZS5","DZ8iAZOCBD","AF7qkfDlqP","9FxExcQeMw","mp7IySMOzn","X99M06cbEe","rJVOvQCfKK"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⋰*⋻6588","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7276","layer":4},{"info":"number node, value=1030","layer":4},{"info":"compute binary expreesion, left_input=7276, right_input=1030, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=12460","layer":3},{"info":"compute unary expreesion, input=12460, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-12187","layer":2},{"info":"number node, value=1701","layer":4},{"info":"compute unary expreesion, input=1701, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=4803","layer":3},{"info":"number node, value=4653","layer":4},{"info":"number node, value=2401","layer":4},{"info":"compute binary expreesion, left_input=4653, right_input=2401, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2401","layer":3},{"info":"compute binary expreesion, left_input=4803, right_input=2401, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4802","layer":2},{"info":"compute binary expreesion, left_input=-12187, right_input=4802, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-4802","layer":1},{"info":"compute unary expreesion, input=-4802, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=8687","layer":0}],"base":11,"result_base":11,"text":"↯⪼((⨑⩽⪐⋰*⋻5515⩷∴⋰*⋻857)⊉≛↸(⋰*⋻1307≫≃)⇷(⋰*⋻3550⨎⋰*⋻1893))=⋰*⋻6588","reverse_text":"⋰*⋻6588=↯⪼((⨑⩽⪐⋰*⋻5515⩷∴⋰*⋻857)⊉≛↸(⋰*⋻1307≫≃)⇷(⋰*⋻3550⨎⋰*⋻1893))","cot":[{"info":"⋰*⋻5515⩷∴⋰*⋻857=⋰*⋻93A8","layer":3},{"info":"⨑⩽⪐⋰*⋻93A8=⋰*⋻-917A","layer":2},{"info":"⋰*⋻1307≫≃=⋰*⋻3677","layer":3},{"info":"⋰*⋻3550⨎⋰*⋻1893=⋰*⋻1893","layer":3},{"info":"⋰*⋻3677⇷⋰*⋻1893=⋰*⋻3676","layer":2},{"info":"⋰*⋻-917A⊉≛↸⋰*⋻3676=⋰*⋻-3676","layer":1},{"info":"↯⪼⋰*⋻-3676=⋰*⋻6588","layer":0}]}
{"id":391,"expression_no_base_symbol":"(⨑⩽⪐($3862$⩷∴$9209$⊉≛↸($3382$⪠⩆⊳)))⋓(-(↯⪼($3597$⨓$4834$)))","expression":"(⨑⩽⪐(⋰*⋻29A1⩷∴⋰*⋻6A12⊉≛↸(⋰*⋻25A5⪠⩆⊳)))⋓(-(↯⪼(⋰*⋻2780⨓⋰*⋻36A5)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4890,"operation_count":8,"complexity_ratio":611.25,"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":3862,"base":11},"right_expr":{"type":"numeric_atoms","value":9209,"base":11}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":3382,"base":11}}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3597,"base":11},"right_expr":{"type":"numeric_atoms","value":4834,"base":11}}}}},"used_operators":["T2fj7uvVaJ","AF7qkfDlqP","DZ8iAZOCBD","9FxExcQeMw","JLbD19bQDL","t8gj7n24qd","8jW3W4yZS5","3ViojmjbAp"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3862","layer":4},{"info":"number node, value=9209","layer":4},{"info":"compute binary expreesion, left_input=3862, right_input=9209, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-10726","layer":3},{"info":"number node, value=3382","layer":4},{"info":"compute unary expreesion, input=3382, 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=-10726, 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":"compute unary expreesion, input=0, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=789","layer":1},{"info":"number node, value=3597","layer":4},{"info":"number node, value=4834","layer":4},{"info":"compute binary expreesion, left_input=3597, right_input=4834, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4837","layer":3},{"info":"compute unary expreesion, input=-4837, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=8757","layer":2},{"info":"compute unary expreesion, input=8757, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-8757","layer":1},{"info":"compute binary expreesion, left_input=789, right_input=-8757, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":0}],"base":11,"result_base":11,"text":"(⨑⩽⪐(⋰*⋻29A1⩷∴⋰*⋻6A12⊉≛↸(⋰*⋻25A5⪠⩆⊳)))⋓(-(↯⪼(⋰*⋻2780⨓⋰*⋻36A5)))=⋰*⋻0","reverse_text":"⋰*⋻0=(⨑⩽⪐(⋰*⋻29A1⩷∴⋰*⋻6A12⊉≛↸(⋰*⋻25A5⪠⩆⊳)))⋓(-(↯⪼(⋰*⋻2780⨓⋰*⋻36A5)))","cot":[{"info":"⋰*⋻29A1⩷∴⋰*⋻6A12=⋰*⋻-8071","layer":3},{"info":"⋰*⋻25A5⪠⩆⊳=⋰*⋻0","layer":3},{"info":"⋰*⋻-8071⊉≛↸⋰*⋻0=⋰*⋻0","layer":2},{"info":"⨑⩽⪐⋰*⋻0=⋰*⋻658","layer":1},{"info":"⋰*⋻2780⨓⋰*⋻36A5=⋰*⋻-36A8","layer":3},{"info":"↯⪼⋰*⋻-36A8=⋰*⋻6641","layer":2},{"info":"-⋰*⋻6641=⋰*⋻-6641","layer":1},{"info":"⋰*⋻658⋓⋰*⋻-6641=⋰*⋻0","layer":0}]}
{"id":392,"expression_no_base_symbol":"(($1784$⨪↰⇹$3845$⊭↱$2772$↬$3178$)⪐)≎⊠⪸($5046$≹⇙⪍$5029$↺($1322$∲⫓$1271$)⪨≂($1024$⋷$1729$⨵⪆(↯⪼$2531$)))","expression":"((⋰*⋻1382⨪↰⇹⋰*⋻2986⊭↱⋰*⋻20A0↬⋰*⋻242A)⪐)≎⊠⪸(⋰*⋻3878≹⇙⪍⋰*⋻3862↺(⋰*⋻AA2∲⫓⋰*⋻A56)⪨≂(⋰*⋻851⋷⋰*⋻1332⨵⪆(↯⪼⋰*⋻19A1)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1850,"operation_count":12,"complexity_ratio":154.16666666666666,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1784,"base":11},"right_expr":{"type":"numeric_atoms","value":3845,"base":11}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2772,"base":11},"right_expr":{"type":"numeric_atoms","value":3178,"base":11}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5046,"base":11},"right_expr":{"type":"numeric_atoms","value":5029,"base":11}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1322,"base":11},"right_expr":{"type":"numeric_atoms","value":1271,"base":11}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1024,"base":11},"right_expr":{"type":"numeric_atoms","value":1729,"base":11}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2531,"base":11}}}}},"used_operators":["bJkvcejdHO","eH2TOUuTDT","COABgblf1C","tmPS8pqC7x","B5M0gjZbta","sdazOOVcIp","7j4O788W3g","AHs5Up7iyr","i8ToyICDmI","2DQ55sFlQl","23Mk6UjR3U","8jW3W4yZS5"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1784","layer":4},{"info":"number node, value=3845","layer":4},{"info":"compute binary expreesion, left_input=1784, right_input=3845, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1784","layer":3},{"info":"number node, value=2772","layer":4},{"info":"number node, value=3178","layer":4},{"info":"compute binary expreesion, left_input=2772, right_input=3178, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1784, 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 = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":1},{"info":"number node, value=5046","layer":4},{"info":"number node, value=5029","layer":4},{"info":"compute binary expreesion, left_input=5046, right_input=5029, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=1322","layer":4},{"info":"number node, value=1271","layer":4},{"info":"compute binary expreesion, left_input=1322, right_input=1271, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=0","layer":2},{"info":"number node, value=1024","layer":4},{"info":"number node, value=1729","layer":4},{"info":"compute binary expreesion, left_input=1024, right_input=1729, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2434","layer":3},{"info":"number node, value=2531","layer":4},{"info":"compute unary expreesion, input=2531, 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=2434, right_input=-21, 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 = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-218","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-218, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1382⨪↰⇹⋰*⋻2986⊭↱⋰*⋻20A0↬⋰*⋻242A)⪐)≎⊠⪸(⋰*⋻3878≹⇙⪍⋰*⋻3862↺(⋰*⋻AA2∲⫓⋰*⋻A56)⪨≂(⋰*⋻851⋷⋰*⋻1332⨵⪆(↯⪼⋰*⋻19A1)))=NaN","reverse_text":"NaN=((⋰*⋻1382⨪↰⇹⋰*⋻2986⊭↱⋰*⋻20A0↬⋰*⋻242A)⪐)≎⊠⪸(⋰*⋻3878≹⇙⪍⋰*⋻3862↺(⋰*⋻AA2∲⫓⋰*⋻A56)⪨≂(⋰*⋻851⋷⋰*⋻1332⨵⪆(↯⪼⋰*⋻19A1)))","cot":[{"info":"⋰*⋻1382⨪↰⇹⋰*⋻2986=⋰*⋻1382","layer":3},{"info":"⋰*⋻20A0↬⋰*⋻242A=NaN","layer":3},{"info":"⋰*⋻1382⊭↱NaN=NaN","layer":2},{"info":"NaN⪐=NaN","layer":1},{"info":"⋰*⋻3878≹⇙⪍⋰*⋻3862=NaN","layer":3},{"info":"⋰*⋻AA2∲⫓⋰*⋻A56=⋰*⋻0","layer":3},{"info":"NaN↺⋰*⋻0=⋰*⋻0","layer":2},{"info":"⋰*⋻851⋷⋰*⋻1332=⋰*⋻1913","layer":3},{"info":"↯⪼⋰*⋻19A1=⋰*⋻-1A","layer":3},{"info":"⋰*⋻1913⨵⪆⋰*⋻-1A=⋰*⋻136","layer":2},{"info":"⋰*⋻0⪨≂⋰*⋻136=⋰*⋻-189","layer":1},{"info":"NaN≎⊠⪸⋰*⋻-189=NaN","layer":0}]}
{"id":393,"expression_no_base_symbol":"(((↔$5451$)⊪)⫸⊐(∂$4865$)↙($2328$⩨$3208$))⨳⩥⨓(($2600$+⇶⊼$3066$)⊪)⋝⋈⪟(⋗⩬⋾$3595$)↬($1622$∑⇟⊟$2131$)","expression":"(((↔⋰*⋻4106)⊪)⫸⊐(∂⋰*⋻3723)↙(⋰*⋻1827⩨⋰*⋻2457))⨳⩥⨓((⋰*⋻1A54+⇶⊼⋰*⋻2338)⊪)⋝⋈⪟(⋗⩬⋾⋰*⋻2779)↬(⋰*⋻1245∑⇟⊟⋰*⋻1668)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":15611,"operation_count":13,"complexity_ratio":1200.8461538461538,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":5451,"base":11}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":4865,"base":11}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2328,"base":11},"right_expr":{"type":"numeric_atoms","value":3208,"base":11}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2600,"base":11},"right_expr":{"type":"numeric_atoms","value":3066,"base":11}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":3595,"base":11}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1622,"base":11},"right_expr":{"type":"numeric_atoms","value":2131,"base":11}}}}},"used_operators":["nCS4ZIUYfx","mqXw5SEYmG","zVYPLywUTj","ruOEQAzv1W","yyfyN0ffXY","Uaa54Peajs","2DlMacCsIx","2DDjHMKMc0","TpPTUOHfaN","B5M0gjZbta","DpFCA1CohY","U7g4x0WXJJ"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","tmPS8pqC7x","DpFCA1CohY","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5451","layer":4},{"info":"compute unary expreesion, input=5451, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-5178","layer":3},{"info":"compute unary expreesion, input=-5178, 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=268717910","layer":2},{"info":"number node, value=4865","layer":4},{"info":"compute unary expreesion, input=4865, 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=2328","layer":4},{"info":"number node, value=3208","layer":4},{"info":"compute binary expreesion, left_input=2328, right_input=3208, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=268717910, 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=2600","layer":4},{"info":"number node, value=3066","layer":4},{"info":"compute binary expreesion, left_input=2600, right_input=3066, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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 = 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":"number node, value=3595","layer":4},{"info":"compute unary expreesion, input=3595, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-10785","layer":3},{"info":"number node, value=1622","layer":4},{"info":"number node, value=2131","layer":4},{"info":"compute binary expreesion, left_input=1622, right_input=2131, 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=-10785, 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 = 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 = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((↔⋰*⋻4106)⊪)⫸⊐(∂⋰*⋻3723)↙(⋰*⋻1827⩨⋰*⋻2457))⨳⩥⨓((⋰*⋻1A54+⇶⊼⋰*⋻2338)⊪)⋝⋈⪟(⋗⩬⋾⋰*⋻2779)↬(⋰*⋻1245∑⇟⊟⋰*⋻1668)=NaN","reverse_text":"NaN=(((↔⋰*⋻4106)⊪)⫸⊐(∂⋰*⋻3723)↙(⋰*⋻1827⩨⋰*⋻2457))⨳⩥⨓((⋰*⋻1A54+⇶⊼⋰*⋻2338)⊪)⋝⋈⪟(⋗⩬⋾⋰*⋻2779)↬(⋰*⋻1245∑⇟⊟⋰*⋻1668)","cot":[{"info":"↔⋰*⋻4106=⋰*⋻-3988","layer":3},{"info":"⋰*⋻-3988⊪=⋰*⋻12875881A","layer":2},{"info":"∂⋰*⋻3723=NaN","layer":3},{"info":"⋰*⋻1827⩨⋰*⋻2457=⋰*⋻-3","layer":3},{"info":"NaN↙⋰*⋻-3=NaN","layer":2},{"info":"⋰*⋻12875881A⫸⊐NaN=NaN","layer":1},{"info":"⋰*⋻1A54+⇶⊼⋰*⋻2338=NaN","layer":3},{"info":"NaN⊪=NaN","layer":2},{"info":"⋗⩬⋾⋰*⋻2779=⋰*⋻-8115","layer":3},{"info":"⋰*⋻1245∑⇟⊟⋰*⋻1668=NaN","layer":3},{"info":"⋰*⋻-8115↬NaN=NaN","layer":2},{"info":"NaN⋝⋈⪟NaN=NaN","layer":1},{"info":"NaN⨳⩥⨓NaN=NaN","layer":0}]}
{"id":394,"expression_no_base_symbol":"(⊥(($1110$+$1480$)⩷∴($3190$⪒$1797$)))⨵⪆($4366$⋳⪒$2899$)⋓($5617$⪠⩆⊳)⩚⊴⇥(($4699$⨳⩥⨓$1658$)+⇶⊼(↽≂$3739$))","expression":"(⊥((⋰*⋻91A+⋰*⋻1126)⩷∴(⋰*⋻2440⪒⋰*⋻1394)))⨵⪆(⋰*⋻330A⋳⪒⋰*⋻21A6)⋓(⋰*⋻4247⪠⩆⊳)⩚⊴⇥((⋰*⋻3592⨳⩥⨓⋰*⋻1278)+⇶⊼(↽≂⋰*⋻289A))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":48,"operation_count":12,"complexity_ratio":4.0,"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":1110,"base":11},"right_expr":{"type":"numeric_atoms","value":1480,"base":11}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3190,"base":11},"right_expr":{"type":"numeric_atoms","value":1797,"base":11}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":4366,"base":11},"right_expr":{"type":"numeric_atoms","value":2899,"base":11}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":5617,"base":11}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4699,"base":11},"right_expr":{"type":"numeric_atoms","value":1658,"base":11}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":3739,"base":11}}}}},"used_operators":["2DQ55sFlQl","Q3PJZHRvZv","9FxExcQeMw","W4YGzv6Whe","f6k1SAg4EE","NTOWxs364D","T2fj7uvVaJ","12rbrZMWeM","JLbD19bQDL","TpPTUOHfaN","nCS4ZIUYfx","u6S6b8DprG"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⋰*⋻136","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1110","layer":4},{"info":"number node, value=1480","layer":4},{"info":"compute binary expreesion, left_input=1110, right_input=1480, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2590","layer":3},{"info":"number node, value=3190","layer":4},{"info":"number node, value=1797","layer":4},{"info":"compute binary expreesion, left_input=3190, right_input=1797, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4987","layer":3},{"info":"compute binary expreesion, left_input=2590, right_input=-4987, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=15122","layer":2},{"info":"compute unary expreesion, input=15122, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"number node, value=4366","layer":4},{"info":"number node, value=2899","layer":4},{"info":"compute binary expreesion, left_input=4366, right_input=2899, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=5546","layer":3},{"info":"number node, value=5617","layer":4},{"info":"compute unary expreesion, input=5617, 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=5546, 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=4699","layer":4},{"info":"number node, value=1658","layer":4},{"info":"compute binary expreesion, left_input=4699, right_input=1658, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3041","layer":3},{"info":"number node, value=3739","layer":4},{"info":"compute unary expreesion, input=3739, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-7478","layer":3},{"info":"compute binary expreesion, left_input=-3041, right_input=-7478, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = 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 = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":11,"result_base":11,"text":"(⊥((⋰*⋻91A+⋰*⋻1126)⩷∴(⋰*⋻2440⪒⋰*⋻1394)))⨵⪆(⋰*⋻330A⋳⪒⋰*⋻21A6)⋓(⋰*⋻4247⪠⩆⊳)⩚⊴⇥((⋰*⋻3592⨳⩥⨓⋰*⋻1278)+⇶⊼(↽≂⋰*⋻289A))=⋰*⋻136","reverse_text":"⋰*⋻136=(⊥((⋰*⋻91A+⋰*⋻1126)⩷∴(⋰*⋻2440⪒⋰*⋻1394)))⨵⪆(⋰*⋻330A⋳⪒⋰*⋻21A6)⋓(⋰*⋻4247⪠⩆⊳)⩚⊴⇥((⋰*⋻3592⨳⩥⨓⋰*⋻1278)+⇶⊼(↽≂⋰*⋻289A))","cot":[{"info":"⋰*⋻91A+⋰*⋻1126=⋰*⋻1A45","layer":3},{"info":"⋰*⋻2440⪒⋰*⋻1394=⋰*⋻-3824","layer":3},{"info":"⋰*⋻1A45⩷∴⋰*⋻-3824=⋰*⋻103A8","layer":2},{"info":"⊥⋰*⋻103A8=NaN","layer":1},{"info":"⋰*⋻330A⋳⪒⋰*⋻21A6=⋰*⋻4192","layer":3},{"info":"⋰*⋻4247⪠⩆⊳=⋰*⋻0","layer":3},{"info":"⋰*⋻4192⋓⋰*⋻0=⋰*⋻0","layer":2},{"info":"⋰*⋻3592⨳⩥⨓⋰*⋻1278=⋰*⋻-2315","layer":3},{"info":"↽≂⋰*⋻289A=⋰*⋻-5689","layer":3},{"info":"⋰*⋻-2315+⇶⊼⋰*⋻-5689=NaN","layer":2},{"info":"⋰*⋻0⩚⊴⇥NaN=NaN","layer":1},{"info":"NaN⨵⪆NaN=⋰*⋻136","layer":0}]}
{"id":395,"expression_no_base_symbol":"⊄⩳↩(($7626$⪘⫢$1512$)⇷($2226$∸)⫥∨⫟$1929$∼$1048$⪛($1125$⨰$1938$))","expression":"⊄⩳↩((⋰*⋻5803⪘⫢⋰*⋻1155)⇷(⋰*⋻1744∸)⫥∨⫟⋰*⋻14A4∼⋰*⋻873⪛(⋰*⋻933⨰⋰*⋻1502))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":212196,"operation_count":8,"complexity_ratio":26524.5,"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":7626,"base":11},"right_expr":{"type":"numeric_atoms","value":1512,"base":11}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":2226,"base":11}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1929,"base":11},"right_expr":{"type":"numeric_atoms","value":1048,"base":11}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1125,"base":11},"right_expr":{"type":"numeric_atoms","value":1938,"base":11}}}}},"used_operators":["8w2t5hMYqp","KYD54nUTWz","mp7IySMOzn","oacrs7FA3X","o20kRiQErp","uFcxV4UQCh","DyGG3AbaNP","eewbuw0ToL"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","tmPS8pqC7x","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7626","layer":4},{"info":"number node, value=1512","layer":4},{"info":"compute binary expreesion, left_input=7626, right_input=1512, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=15128","layer":3},{"info":"number node, value=2226","layer":4},{"info":"compute unary expreesion, input=2226, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=15128, right_input=177, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=354","layer":2},{"info":"number node, value=1929","layer":4},{"info":"number node, value=1048","layer":4},{"info":"compute binary expreesion, left_input=1929, right_input=1048, 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=1125","layer":4},{"info":"number node, value=1938","layer":4},{"info":"compute binary expreesion, left_input=1125, right_input=1938, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-803","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-803, 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=354, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⊄⩳↩((⋰*⋻5803⪘⫢⋰*⋻1155)⇷(⋰*⋻1744∸)⫥∨⫟⋰*⋻14A4∼⋰*⋻873⪛(⋰*⋻933⨰⋰*⋻1502))=NaN","reverse_text":"NaN=⊄⩳↩((⋰*⋻5803⪘⫢⋰*⋻1155)⇷(⋰*⋻1744∸)⫥∨⫟⋰*⋻14A4∼⋰*⋻873⪛(⋰*⋻933⨰⋰*⋻1502))","cot":[{"info":"⋰*⋻5803⪘⫢⋰*⋻1155=⋰*⋻10403","layer":3},{"info":"⋰*⋻1744∸=⋰*⋻151","layer":3},{"info":"⋰*⋻10403⇷⋰*⋻151=⋰*⋻2A2","layer":2},{"info":"⋰*⋻14A4∼⋰*⋻873=NaN","layer":3},{"info":"⋰*⋻933⨰⋰*⋻1502=⋰*⋻-670","layer":3},{"info":"NaN⪛⋰*⋻-670=NaN","layer":2},{"info":"⋰*⋻2A2⫥∨⫟NaN=NaN","layer":1},{"info":"⊄⩳↩NaN=NaN","layer":0}]}
{"id":396,"expression_no_base_symbol":"⊙↵-(($1749$⊪)⪢($6425$⨸⪁$1005$)⪛(($1987$⇋≉)⋥≓≎$3815$⋓$5991$))","expression":"⊙↵-((⋰*⋻1350⊪)⪢(⋰*⋻4911⨸⪁⋰*⋻834)⪛((⋰*⋻1547⇋≉)⋥≓≎⋰*⋻2959⋓⋰*⋻4557))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":14947,"operation_count":8,"complexity_ratio":1868.375,"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":1749,"base":11}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":6425,"base":11},"right_expr":{"type":"numeric_atoms","value":1005,"base":11}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1987,"base":11}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3815,"base":11},"right_expr":{"type":"numeric_atoms","value":5991,"base":11}}}}},"used_operators":["oWn0xqSxBt","uFcxV4UQCh","dWAJyo7jo9","zVYPLywUTj","g55IO6H4Gj","Qy55tPpLXF","XIabStNQrY","T2fj7uvVaJ"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","k8jYdgA6NY","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1749","layer":4},{"info":"compute unary expreesion, input=1749, 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=6425","layer":4},{"info":"number node, value=1005","layer":4},{"info":"compute binary expreesion, left_input=6425, right_input=1005, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=14860","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=14860, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1987","layer":4},{"info":"compute unary expreesion, input=1987, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=3876","layer":3},{"info":"number node, value=3815","layer":4},{"info":"number node, value=5991","layer":4},{"info":"compute binary expreesion, left_input=3815, right_input=5991, op_id = T2fj7uvVaJ binary_op_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=3876, right_input=0, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-3843","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3843, 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 = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⊙↵-((⋰*⋻1350⊪)⪢(⋰*⋻4911⨸⪁⋰*⋻834)⪛((⋰*⋻1547⇋≉)⋥≓≎⋰*⋻2959⋓⋰*⋻4557))=NaN","reverse_text":"NaN=⊙↵-((⋰*⋻1350⊪)⪢(⋰*⋻4911⨸⪁⋰*⋻834)⪛((⋰*⋻1547⇋≉)⋥≓≎⋰*⋻2959⋓⋰*⋻4557))","cot":[{"info":"⋰*⋻1350⊪=⋰*⋻0","layer":3},{"info":"⋰*⋻4911⨸⪁⋰*⋻834=⋰*⋻1018A","layer":3},{"info":"⋰*⋻0⪢⋰*⋻1018A=NaN","layer":2},{"info":"⋰*⋻1547⇋≉=⋰*⋻2A04","layer":3},{"info":"⋰*⋻2959⋓⋰*⋻4557=⋰*⋻0","layer":3},{"info":"⋰*⋻2A04⋥≓≎⋰*⋻0=⋰*⋻-2984","layer":2},{"info":"NaN⪛⋰*⋻-2984=NaN","layer":1},{"info":"⊙↵-NaN=NaN","layer":0}]}
{"id":397,"expression_no_base_symbol":"(⨞⊢$3948$≧⫂∧$4558$⋳⪒($3261$⨽$2956$))⨽($3651$⨸⪁$1158$⨸⪁$2371$⪮%⊝$2487$-($2265$+$3913$)⋳⪒$4468$⋓$1335$)","expression":"(⨞⊢⋰*⋻2A6A≧⫂∧⋰*⋻3474⋳⪒(⋰*⋻24A5⨽⋰*⋻2248))⨽(⋰*⋻281A⨸⪁⋰*⋻963⨸⪁⋰*⋻1866⪮%⊝⋰*⋻1961-(⋰*⋻177A+⋰*⋻2A38)⋳⪒⋰*⋻33A2⋓⋰*⋻1004)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":31921300,"operation_count":12,"complexity_ratio":2660108.3333333335,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3948,"base":11},"right_expr":{"type":"numeric_atoms","value":4558,"base":11}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3261,"base":11},"right_expr":{"type":"numeric_atoms","value":2956,"base":11}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3651,"base":11},"right_expr":{"type":"numeric_atoms","value":1158,"base":11}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2371,"base":11},"right_expr":{"type":"numeric_atoms","value":2487,"base":11}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2265,"base":11},"right_expr":{"type":"numeric_atoms","value":3913,"base":11}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4468,"base":11},"right_expr":{"type":"numeric_atoms","value":1335,"base":11}}}}},"used_operators":["8HhzD0ZcuI","xUOZtlo3hN","12rbrZMWeM","Ph9nP6C5qx","rysDP5nf3Z","g55IO6H4Gj","IWmyXbctLI","W4YGzv6Whe","T2fj7uvVaJ"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"-Inf","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3948","layer":4},{"info":"number node, value=4558","layer":4},{"info":"compute binary expreesion, left_input=3948, right_input=4558, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4085","layer":3},{"info":"number node, value=3261","layer":4},{"info":"number node, value=2956","layer":4},{"info":"compute binary expreesion, left_input=3261, right_input=2956, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-31909917","layer":3},{"info":"compute binary expreesion, left_input=4085, right_input=-31909917, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=31917800","layer":2},{"info":"compute unary expreesion, input=31917800, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-31917974","layer":1},{"info":"number node, value=3651","layer":4},{"info":"number node, value=1158","layer":4},{"info":"compute binary expreesion, left_input=3651, right_input=1158, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9618","layer":3},{"info":"number node, value=2371","layer":4},{"info":"number node, value=2487","layer":4},{"info":"compute binary expreesion, left_input=2371, right_input=2487, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5058","layer":3},{"info":"compute binary expreesion, left_input=9618, right_input=5058, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=29352","layer":2},{"info":"number node, value=2265","layer":4},{"info":"number node, value=3913","layer":4},{"info":"compute binary expreesion, left_input=2265, right_input=3913, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6178","layer":3},{"info":"number node, value=4468","layer":4},{"info":"number node, value=1335","layer":4},{"info":"compute binary expreesion, left_input=4468, right_input=1335, op_id = T2fj7uvVaJ binary_op_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=6178, right_input=0, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=12069","layer":2},{"info":"compute binary expreesion, left_input=29352, right_input=12069, op_id = rysDP5nf3Z binary_op_definition= 'None', output=17283","layer":1},{"info":"compute binary expreesion, left_input=-31917974, right_input=17283, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":0}],"base":11,"result_base":11,"text":"(⨞⊢⋰*⋻2A6A≧⫂∧⋰*⋻3474⋳⪒(⋰*⋻24A5⨽⋰*⋻2248))⨽(⋰*⋻281A⨸⪁⋰*⋻963⨸⪁⋰*⋻1866⪮%⊝⋰*⋻1961-(⋰*⋻177A+⋰*⋻2A38)⋳⪒⋰*⋻33A2⋓⋰*⋻1004)=-Inf","reverse_text":"-Inf=(⨞⊢⋰*⋻2A6A≧⫂∧⋰*⋻3474⋳⪒(⋰*⋻24A5⨽⋰*⋻2248))⨽(⋰*⋻281A⨸⪁⋰*⋻963⨸⪁⋰*⋻1866⪮%⊝⋰*⋻1961-(⋰*⋻177A+⋰*⋻2A38)⋳⪒⋰*⋻33A2⋓⋰*⋻1004)","cot":[{"info":"⋰*⋻2A6A≧⫂∧⋰*⋻3474=⋰*⋻3084","layer":3},{"info":"⋰*⋻24A5⨽⋰*⋻2248=⋰*⋻-17015436","layer":3},{"info":"⋰*⋻3084⋳⪒⋰*⋻-17015436=⋰*⋻17020352","layer":2},{"info":"⨞⊢⋰*⋻17020352=⋰*⋻-170204A0","layer":1},{"info":"⋰*⋻281A⨸⪁⋰*⋻963=⋰*⋻7254","layer":3},{"info":"⋰*⋻1866⪮%⊝⋰*⋻1961=⋰*⋻3889","layer":3},{"info":"⋰*⋻7254⨸⪁⋰*⋻3889=⋰*⋻20064","layer":2},{"info":"⋰*⋻177A+⋰*⋻2A38=⋰*⋻4707","layer":3},{"info":"⋰*⋻33A2⋓⋰*⋻1004=⋰*⋻0","layer":3},{"info":"⋰*⋻4707⋳⪒⋰*⋻0=⋰*⋻9082","layer":2},{"info":"⋰*⋻20064-⋰*⋻9082=⋰*⋻11A92","layer":1},{"info":"⋰*⋻-170204A0⨽⋰*⋻11A92=-Inf","layer":0}]}
{"id":398,"expression_no_base_symbol":"(($2409$∼$2677$⫸⊐($4886$*$7542$))↙(≤/$8830$⨎$1004$))⊦⊿","expression":"((⋰*⋻18A0∼⋰*⋻2014⫸⊐(⋰*⋻3742*⋰*⋻5737))↙(≤/⋰*⋻66A8⨎⋰*⋻833))⊦⊿","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4948,"operation_count":7,"complexity_ratio":706.8571428571429,"tree":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2409,"base":11},"right_expr":{"type":"numeric_atoms","value":2677,"base":11}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4886,"base":11},"right_expr":{"type":"numeric_atoms","value":7542,"base":11}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":8830,"base":11},"right_expr":{"type":"numeric_atoms","value":1004,"base":11}}}}},"used_operators":["14qkJME0vr","yyfyN0ffXY","mqXw5SEYmG","DyGG3AbaNP","9HNa5Wba9A","eLAdDNolq6","rJVOvQCfKK"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2409","layer":4},{"info":"number node, value=2677","layer":4},{"info":"compute binary expreesion, left_input=2409, right_input=2677, 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=4886","layer":4},{"info":"number node, value=7542","layer":4},{"info":"compute binary expreesion, left_input=4886, right_input=7542, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=36850212","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=36850212, 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=8830","layer":4},{"info":"number node, value=1004","layer":4},{"info":"compute binary expreesion, left_input=8830, right_input=1004, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1004","layer":3},{"info":"compute unary expreesion, input=1004, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-520","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-520, 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 = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻18A0∼⋰*⋻2014⫸⊐(⋰*⋻3742*⋰*⋻5737))↙(≤/⋰*⋻66A8⨎⋰*⋻833))⊦⊿=NaN","reverse_text":"NaN=((⋰*⋻18A0∼⋰*⋻2014⫸⊐(⋰*⋻3742*⋰*⋻5737))↙(≤/⋰*⋻66A8⨎⋰*⋻833))⊦⊿","cot":[{"info":"⋰*⋻18A0∼⋰*⋻2014=NaN","layer":3},{"info":"⋰*⋻3742*⋰*⋻5737=⋰*⋻1988A123","layer":3},{"info":"NaN⫸⊐⋰*⋻1988A123=NaN","layer":2},{"info":"⋰*⋻66A8⨎⋰*⋻833=⋰*⋻833","layer":3},{"info":"≤/⋰*⋻833=⋰*⋻-433","layer":2},{"info":"NaN↙⋰*⋻-433=NaN","layer":1},{"info":"NaN⊦⊿=NaN","layer":0}]}
{"id":399,"expression_no_base_symbol":"((⨵≀≌($3265$⊠≄⫣))↺($6376$⨪↰⇹$3533$⪒$4409$≎⊠⪸$1260$))⩚⊴⇥((⇁⨣⪵$1848$⨽$3881$)⩤)","expression":"((⨵≀≌(⋰*⋻24A9⊠≄⫣))↺(⋰*⋻4877⨪↰⇹⋰*⋻2722⪒⋰*⋻3349≎⊠⪸⋰*⋻A46))⩚⊴⇥((⇁⨣⪵⋰*⋻1430⨽⋰*⋻2A09)⩤)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":8522,"operation_count":10,"complexity_ratio":852.2,"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":3265,"base":11}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":6376,"base":11},"right_expr":{"type":"numeric_atoms","value":3533,"base":11}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4409,"base":11},"right_expr":{"type":"numeric_atoms","value":1260,"base":11}}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1848,"base":11},"right_expr":{"type":"numeric_atoms","value":3881,"base":11}}}}},"used_operators":["NTOWxs364D","7j4O788W3g","srAu1WTS94","DIvbN7qnHd","f6k1SAg4EE","tmPS8pqC7x","bJkvcejdHO","Z2TMIBDE3Q","inkyxCbjAn","8HhzD0ZcuI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3265","layer":4},{"info":"compute unary expreesion, input=3265, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', 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=6376","layer":4},{"info":"number node, value=3533","layer":4},{"info":"compute binary expreesion, left_input=6376, right_input=3533, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=6376","layer":3},{"info":"number node, value=4409","layer":4},{"info":"number node, value=1260","layer":4},{"info":"compute binary expreesion, left_input=4409, right_input=1260, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1141458","layer":3},{"info":"compute binary expreesion, left_input=6376, right_input=1141458, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-1147834","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-1147834, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-1147834","layer":1},{"info":"number node, value=1848","layer":4},{"info":"number node, value=3881","layer":4},{"info":"compute binary expreesion, left_input=1848, right_input=3881, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-10255641","layer":3},{"info":"compute unary expreesion, input=-10255641, op_id = inkyxCbjAn, 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=-1147834, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⨵≀≌(⋰*⋻24A9⊠≄⫣))↺(⋰*⋻4877⨪↰⇹⋰*⋻2722⪒⋰*⋻3349≎⊠⪸⋰*⋻A46))⩚⊴⇥((⇁⨣⪵⋰*⋻1430⨽⋰*⋻2A09)⩤)=NaN","reverse_text":"NaN=((⨵≀≌(⋰*⋻24A9⊠≄⫣))↺(⋰*⋻4877⨪↰⇹⋰*⋻2722⪒⋰*⋻3349≎⊠⪸⋰*⋻A46))⩚⊴⇥((⇁⨣⪵⋰*⋻1430⨽⋰*⋻2A09)⩤)","cot":[{"info":"⋰*⋻24A9⊠≄⫣=⋰*⋻0","layer":3},{"info":"⨵≀≌⋰*⋻0=⋰*⋻0","layer":2},{"info":"⋰*⋻4877⨪↰⇹⋰*⋻2722=⋰*⋻4877","layer":3},{"info":"⋰*⋻3349≎⊠⪸⋰*⋻A46=⋰*⋻70A65A","layer":3},{"info":"⋰*⋻4877⪒⋰*⋻70A65A=⋰*⋻-714426","layer":2},{"info":"⋰*⋻0↺⋰*⋻-714426=⋰*⋻-714426","layer":1},{"info":"⋰*⋻1430⨽⋰*⋻2A09=⋰*⋻-5875240","layer":3},{"info":"⇁⨣⪵⋰*⋻-5875240=NaN","layer":2},{"info":"NaN⩤=NaN","layer":1},{"info":"⋰*⋻-714426⩚⊴⇥NaN=NaN","layer":0}]}
{"id":400,"expression_no_base_symbol":"($2121$⪮%⊝$1119$⋥≓≎(⨑⩽⪐$1014$))≹⇙⪍($1190$⋝⋈⪟$2742$≎⊠⪸$6328$⋝⋈⪟$4360$)≧⫂∧(($2488$⨓$3026$⪒$3946$+⇶⊼$2229$)⋳⪒(⇁⨣⪵($1256$⨵⪆$5675$)))","expression":"(⋰*⋻1659⪮%⊝⋰*⋻928⋥≓≎(⨑⩽⪐⋰*⋻842))≹⇙⪍(⋰*⋻992⋝⋈⪟⋰*⋻2073≎⊠⪸⋰*⋻4833⋝⋈⪟⋰*⋻3304)≧⫂∧((⋰*⋻1962⨓⋰*⋻2301⪒⋰*⋻2A68+⇶⊼⋰*⋻1747)⋳⪒(⇁⨣⪵(⋰*⋻A42⨵⪆⋰*⋻429A)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3340,"operation_count":14,"complexity_ratio":238.57142857142858,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2121,"base":11},"right_expr":{"type":"numeric_atoms","value":1119,"base":11}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1014,"base":11}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1190,"base":11},"right_expr":{"type":"numeric_atoms","value":2742,"base":11}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":6328,"base":11},"right_expr":{"type":"numeric_atoms","value":4360,"base":11}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2488,"base":11},"right_expr":{"type":"numeric_atoms","value":3026,"base":11}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3946,"base":11},"right_expr":{"type":"numeric_atoms","value":2229,"base":11}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1256,"base":11},"right_expr":{"type":"numeric_atoms","value":5675,"base":11}}}}},"used_operators":["Ph9nP6C5qx","AHs5Up7iyr","Qy55tPpLXF","IWmyXbctLI","AF7qkfDlqP","bJkvcejdHO","2DDjHMKMc0","12rbrZMWeM","f6k1SAg4EE","3ViojmjbAp","TpPTUOHfaN","inkyxCbjAn","2DQ55sFlQl"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","AHs5Up7iyr","B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2121","layer":4},{"info":"number node, value=1119","layer":4},{"info":"compute binary expreesion, left_input=2121, right_input=1119, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4558","layer":3},{"info":"number node, value=1014","layer":4},{"info":"compute unary expreesion, input=1014, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-741","layer":3},{"info":"compute binary expreesion, left_input=4558, right_input=-741, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-6007","layer":2},{"info":"number node, value=1190","layer":4},{"info":"number node, value=2742","layer":4},{"info":"compute binary expreesion, left_input=1190, right_input=2742, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1190","layer":3},{"info":"number node, value=6328","layer":4},{"info":"number node, value=4360","layer":4},{"info":"compute binary expreesion, left_input=6328, right_input=4360, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6328","layer":3},{"info":"compute binary expreesion, left_input=1190, right_input=6328, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=307737","layer":2},{"info":"compute binary expreesion, left_input=-6007, right_input=307737, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=2488","layer":4},{"info":"number node, value=3026","layer":4},{"info":"compute binary expreesion, left_input=2488, right_input=3026, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3029","layer":3},{"info":"number node, value=3946","layer":4},{"info":"number node, value=2229","layer":4},{"info":"compute binary expreesion, left_input=3946, right_input=2229, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=-3029, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=1256","layer":4},{"info":"number node, value=5675","layer":4},{"info":"compute binary expreesion, left_input=1256, right_input=5675, 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 = inkyxCbjAn, unary_op_definition = '⇁⨣⪵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 = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1659⪮%⊝⋰*⋻928⋥≓≎(⨑⩽⪐⋰*⋻842))≹⇙⪍(⋰*⋻992⋝⋈⪟⋰*⋻2073≎⊠⪸⋰*⋻4833⋝⋈⪟⋰*⋻3304)≧⫂∧((⋰*⋻1962⨓⋰*⋻2301⪒⋰*⋻2A68+⇶⊼⋰*⋻1747)⋳⪒(⇁⨣⪵(⋰*⋻A42⨵⪆⋰*⋻429A)))=NaN","reverse_text":"NaN=(⋰*⋻1659⪮%⊝⋰*⋻928⋥≓≎(⨑⩽⪐⋰*⋻842))≹⇙⪍(⋰*⋻992⋝⋈⪟⋰*⋻2073≎⊠⪸⋰*⋻4833⋝⋈⪟⋰*⋻3304)≧⫂∧((⋰*⋻1962⨓⋰*⋻2301⪒⋰*⋻2A68+⇶⊼⋰*⋻1747)⋳⪒(⇁⨣⪵(⋰*⋻A42⨵⪆⋰*⋻429A)))","cot":[{"info":"⋰*⋻1659⪮%⊝⋰*⋻928=⋰*⋻3474","layer":3},{"info":"⨑⩽⪐⋰*⋻842=⋰*⋻-614","layer":3},{"info":"⋰*⋻3474⋥≓≎⋰*⋻-614=⋰*⋻-4571","layer":2},{"info":"⋰*⋻992⋝⋈⪟⋰*⋻2073=⋰*⋻992","layer":3},{"info":"⋰*⋻4833⋝⋈⪟⋰*⋻3304=⋰*⋻4833","layer":3},{"info":"⋰*⋻992≎⊠⪸⋰*⋻4833=⋰*⋻1A0231","layer":2},{"info":"⋰*⋻-4571≹⇙⪍⋰*⋻1A0231=NaN","layer":1},{"info":"⋰*⋻1962⨓⋰*⋻2301=⋰*⋻-2304","layer":3},{"info":"⋰*⋻2A68+⇶⊼⋰*⋻1747=NaN","layer":3},{"info":"⋰*⋻-2304⪒NaN=NaN","layer":2},{"info":"⋰*⋻A42⨵⪆⋰*⋻429A=⋰*⋻136","layer":3},{"info":"⇁⨣⪵⋰*⋻136=NaN","layer":2},{"info":"NaN⋳⪒NaN=NaN","layer":1},{"info":"NaN≧⫂∧NaN=NaN","layer":0}]}
{"id":401,"expression_no_base_symbol":"((+⊝⨔($2460$⨐⩸⫘$6053$))+$2540$≹⇙⪍$6832$⊴($1486$⋫))⪠⩆⊳","expression":"((+⊝⨔(⋰*⋻1937⨐⩸⫘⋰*⋻4603))+⋰*⋻19AA≹⇙⪍⋰*⋻5151⊴(⋰*⋻1131⋫))⪠⩆⊳","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3007,"operation_count":7,"complexity_ratio":429.57142857142856,"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":2460,"base":11},"right_expr":{"type":"numeric_atoms","value":6053,"base":11}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2540,"base":11},"right_expr":{"type":"numeric_atoms","value":6832,"base":11}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1486,"base":11}}}}},"used_operators":["JLbD19bQDL","W4YGzv6Whe","DhbWaqg5eL","fu6greOZ01","Nsiff2A1zJ","AHs5Up7iyr","JL8yIekQnl"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","3ViojmjbAp","dWAJyo7jo9","14qkJME0vr","dWAJyo7jo9","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=2460","layer":4},{"info":"number node, value=6053","layer":4},{"info":"compute binary expreesion, left_input=2460, right_input=6053, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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":"number node, value=2540","layer":4},{"info":"number node, value=6832","layer":4},{"info":"compute binary expreesion, left_input=2540, right_input=6832, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=1486","layer":4},{"info":"compute unary expreesion, input=1486, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1486","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1486, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1522, right_input=nan, op_id = W4YGzv6Whe 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":11,"result_base":11,"text":"((+⊝⨔(⋰*⋻1937⨐⩸⫘⋰*⋻4603))+⋰*⋻19AA≹⇙⪍⋰*⋻5151⊴(⋰*⋻1131⋫))⪠⩆⊳=NaN","reverse_text":"NaN=((+⊝⨔(⋰*⋻1937⨐⩸⫘⋰*⋻4603))+⋰*⋻19AA≹⇙⪍⋰*⋻5151⊴(⋰*⋻1131⋫))⪠⩆⊳","cot":[{"info":"⋰*⋻1937⨐⩸⫘⋰*⋻4603=NaN","layer":3},{"info":"+⊝⨔NaN=⋰*⋻1164","layer":2},{"info":"⋰*⋻19AA≹⇙⪍⋰*⋻5151=NaN","layer":3},{"info":"⋰*⋻1131⋫=⋰*⋻1131","layer":3},{"info":"NaN⊴⋰*⋻1131=NaN","layer":2},{"info":"⋰*⋻1164+NaN=NaN","layer":1},{"info":"NaN⪠⩆⊳=NaN","layer":0}]}
{"id":402,"expression_no_base_symbol":"(($1143$⫡⨏$3121$⫡⨏$8000$⩚⊴⇥$1382$)⫸⊐(($3438$⨳⩥⨓$7396$)⫌⩹⨱))⨁⊸⫻","expression":"((⋰*⋻94A⫡⨏⋰*⋻2388⫡⨏⋰*⋻6013⩚⊴⇥⋰*⋻1047)⫸⊐((⋰*⋻2646⨳⩥⨓⋰*⋻5614)⫌⩹⨱))⨁⊸⫻","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":52,"operation_count":7,"complexity_ratio":7.428571428571429,"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":1143,"base":11},"right_expr":{"type":"numeric_atoms","value":3121,"base":11}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":8000,"base":11},"right_expr":{"type":"numeric_atoms","value":1382,"base":11}}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3438,"base":11},"right_expr":{"type":"numeric_atoms","value":7396,"base":11}}}}},"used_operators":["glklzrTFfD","mqXw5SEYmG","QMFrweE19q","NTOWxs364D","EBcxylXtPf","nCS4ZIUYfx"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z"],"result":"⋰*⋻259A7","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1143","layer":4},{"info":"number node, value=3121","layer":4},{"info":"compute binary expreesion, left_input=1143, right_input=3121, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=12740","layer":3},{"info":"number node, value=8000","layer":4},{"info":"number node, value=1382","layer":4},{"info":"compute binary expreesion, left_input=8000, right_input=1382, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-9503","layer":3},{"info":"compute binary expreesion, left_input=12740, right_input=-9503, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=45477","layer":2},{"info":"number node, value=3438","layer":4},{"info":"number node, value=7396","layer":4},{"info":"compute binary expreesion, left_input=3438, right_input=7396, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=3958","layer":3},{"info":"compute unary expreesion, input=3958, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=9317","layer":2},{"info":"compute binary expreesion, left_input=45477, right_input=9317, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=37143","layer":1},{"info":"compute unary expreesion, input=37143, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=37143","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻94A⫡⨏⋰*⋻2388⫡⨏⋰*⋻6013⩚⊴⇥⋰*⋻1047)⫸⊐((⋰*⋻2646⨳⩥⨓⋰*⋻5614)⫌⩹⨱))⨁⊸⫻=⋰*⋻259A7","reverse_text":"⋰*⋻259A7=((⋰*⋻94A⫡⨏⋰*⋻2388⫡⨏⋰*⋻6013⩚⊴⇥⋰*⋻1047)⫸⊐((⋰*⋻2646⨳⩥⨓⋰*⋻5614)⫌⩹⨱))⨁⊸⫻","cot":[{"info":"⋰*⋻94A⫡⨏⋰*⋻2388=⋰*⋻9632","layer":3},{"info":"⋰*⋻6013⩚⊴⇥⋰*⋻1047=⋰*⋻-715A","layer":3},{"info":"⋰*⋻9632⫡⨏⋰*⋻-715A=⋰*⋻31193","layer":2},{"info":"⋰*⋻2646⨳⩥⨓⋰*⋻5614=⋰*⋻2A79","layer":3},{"info":"⋰*⋻2A79⫌⩹⨱=⋰*⋻7000","layer":2},{"info":"⋰*⋻31193⫸⊐⋰*⋻7000=⋰*⋻259A7","layer":1},{"info":"⋰*⋻259A7⨁⊸⫻=⋰*⋻259A7","layer":0}]}
{"id":403,"expression_no_base_symbol":"($2333$⪛$4850$⨪↰⇹(≉$1124$)≦≮≮)⪘⫢((⩦⩻⨪$4384$≭$3673$)⪨≂((⨈⫕$1267$)⋷(+⊝⨔$1047$)))","expression":"(⋰*⋻1831⪛⋰*⋻370A⨪↰⇹(≉⋰*⋻932)≦≮≮)⪘⫢((⩦⩻⨪⋰*⋻3326≭⋰*⋻283A)⪨≂((⨈⫕⋰*⋻A52)⋷(+⊝⨔⋰*⋻872)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2788,"operation_count":11,"complexity_ratio":253.45454545454547,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2333,"base":11},"right_expr":{"type":"numeric_atoms","value":4850,"base":11}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1124,"base":11}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4384,"base":11},"right_expr":{"type":"numeric_atoms","value":3673,"base":11}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1267,"base":11}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1047,"base":11}}}}},"used_operators":["oacrs7FA3X","D4vGDi5EA2","tmPS8pqC7x","uFcxV4UQCh","e1ybzncUwg","sdazOOVcIp","2td37pGCOC","rxpJgHHUmx","23Mk6UjR3U","megm06wKyl","DhbWaqg5eL"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2333","layer":4},{"info":"number node, value=4850","layer":4},{"info":"compute binary expreesion, left_input=2333, right_input=4850, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2333","layer":3},{"info":"number node, value=1124","layer":4},{"info":"compute unary expreesion, input=1124, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1655","layer":3},{"info":"compute binary expreesion, left_input=2333, right_input=1655, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2333","layer":2},{"info":"compute unary expreesion, input=2333, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-6999","layer":1},{"info":"number node, value=4384","layer":4},{"info":"number node, value=3673","layer":4},{"info":"compute binary expreesion, left_input=4384, right_input=3673, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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":"number node, value=1267","layer":4},{"info":"compute unary expreesion, input=1267, 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=1047","layer":4},{"info":"compute unary expreesion, input=1047, 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=-21, right_input=1522, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=42","layer":2},{"info":"compute binary expreesion, left_input=nan, 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=nan","layer":1},{"info":"compute binary expreesion, left_input=-6999, 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":11,"result_base":11,"text":"(⋰*⋻1831⪛⋰*⋻370A⨪↰⇹(≉⋰*⋻932)≦≮≮)⪘⫢((⩦⩻⨪⋰*⋻3326≭⋰*⋻283A)⪨≂((⨈⫕⋰*⋻A52)⋷(+⊝⨔⋰*⋻872)))=NaN","reverse_text":"NaN=(⋰*⋻1831⪛⋰*⋻370A⨪↰⇹(≉⋰*⋻932)≦≮≮)⪘⫢((⩦⩻⨪⋰*⋻3326≭⋰*⋻283A)⪨≂((⨈⫕⋰*⋻A52)⋷(+⊝⨔⋰*⋻872)))","cot":[{"info":"⋰*⋻1831⪛⋰*⋻370A=⋰*⋻1831","layer":3},{"info":"≉⋰*⋻932=⋰*⋻1275","layer":3},{"info":"⋰*⋻1831⨪↰⇹⋰*⋻1275=⋰*⋻1831","layer":2},{"info":"⋰*⋻1831≦≮≮=⋰*⋻-5293","layer":1},{"info":"⋰*⋻3326≭⋰*⋻283A=NaN","layer":3},{"info":"⩦⩻⨪NaN=NaN","layer":2},{"info":"⨈⫕⋰*⋻A52=⋰*⋻-1A","layer":3},{"info":"+⊝⨔⋰*⋻872=⋰*⋻1164","layer":3},{"info":"⋰*⋻-1A⋷⋰*⋻1164=⋰*⋻39","layer":2},{"info":"NaN⪨≂⋰*⋻39=NaN","layer":1},{"info":"⋰*⋻-5293⪘⫢NaN=NaN","layer":0}]}
{"id":404,"expression_no_base_symbol":"⊙↵-(⊥(($1044$⩠)⩷∴($1843$⇋≉)))","expression":"⊙↵-(⊥((⋰*⋻86A⩠)⩷∴(⋰*⋻1426⇋≉)))","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":55,"operation_count":5,"complexity_ratio":11.0,"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":1044,"base":11}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1843,"base":11}}}}},"used_operators":["oWn0xqSxBt","Q3PJZHRvZv","9FxExcQeMw","sJAwomhLZr","XIabStNQrY"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","fu6greOZ01","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1044","layer":4},{"info":"compute unary expreesion, input=1044, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=1843","layer":4},{"info":"compute unary expreesion, input=1843, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=3588","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3588, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-7208","layer":2},{"info":"compute unary expreesion, input=-7208, op_id = Q3PJZHRvZv, unary_op_definition = '⊥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":11,"result_base":11,"text":"⊙↵-(⊥((⋰*⋻86A⩠)⩷∴(⋰*⋻1426⇋≉)))=NaN","reverse_text":"NaN=⊙↵-(⊥((⋰*⋻86A⩠)⩷∴(⋰*⋻1426⇋≉)))","cot":[{"info":"⋰*⋻86A⩠=⋰*⋻0","layer":3},{"info":"⋰*⋻1426⇋≉=⋰*⋻2772","layer":3},{"info":"⋰*⋻0⩷∴⋰*⋻2772=⋰*⋻-5463","layer":2},{"info":"⊥⋰*⋻-5463=NaN","layer":1},{"info":"⊙↵-NaN=NaN","layer":0}]}
{"id":405,"expression_no_base_symbol":"(($1753$⩚⊴⇥$1400$)⪢($5337$⨪↰⇹$2017$)⨵⪆($5912$%$2517$)⩷∴$5209$⨟⋌⩍$4644$)⋥≓≎((↩$1163$)≹⇙⪍(⇁⨣⪵$3574$)*(($1158$⨵⪆$2545$)⇼⇔∾$3178$⋝⋈⪟$4673$))","expression":"((⋰*⋻1354⩚⊴⇥⋰*⋻1063)⪢(⋰*⋻4012⨪↰⇹⋰*⋻1574)⨵⪆(⋰*⋻4495%⋰*⋻1989)⩷∴⋰*⋻3A06⨟⋌⩍⋰*⋻3542)⋥≓≎((↩⋰*⋻968)≹⇙⪍(⇁⨣⪵⋰*⋻275A)*((⋰*⋻963⨵⪆⋰*⋻1A04)⇼⇔∾⋰*⋻242A⋝⋈⪟⋰*⋻3569))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":13211,"operation_count":15,"complexity_ratio":880.7333333333333,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1753,"base":11},"right_expr":{"type":"numeric_atoms","value":1400,"base":11}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":5337,"base":11},"right_expr":{"type":"numeric_atoms","value":2017,"base":11}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":5912,"base":11},"right_expr":{"type":"numeric_atoms","value":2517,"base":11}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":5209,"base":11},"right_expr":{"type":"numeric_atoms","value":4644,"base":11}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1163,"base":11}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":3574,"base":11}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1158,"base":11},"right_expr":{"type":"numeric_atoms","value":2545,"base":11}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3178,"base":11},"right_expr":{"type":"numeric_atoms","value":4673,"base":11}}}}},"used_operators":["Qy55tPpLXF","2DQ55sFlQl","dWAJyo7jo9","NTOWxs364D","tmPS8pqC7x","9FxExcQeMw","k8jYdgA6NY","rGHVDoGpnC","9HNa5Wba9A","AHs5Up7iyr","jLgFTUHLKL","inkyxCbjAn","tifHPKVTfV","2DDjHMKMc0"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rJVOvQCfKK","rysDP5nf3Z","rysDP5nf3Z","Tcnh7f0tEr","W4YGzv6Whe","dWAJyo7jo9","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1753","layer":4},{"info":"number node, value=1400","layer":4},{"info":"compute binary expreesion, left_input=1753, right_input=1400, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3274","layer":3},{"info":"number node, value=5337","layer":4},{"info":"number node, value=2017","layer":4},{"info":"compute binary expreesion, left_input=5337, right_input=2017, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=5337","layer":3},{"info":"compute binary expreesion, left_input=-3274, right_input=5337, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=5912","layer":4},{"info":"number node, value=2517","layer":4},{"info":"compute binary expreesion, left_input=5912, right_input=2517, op_id = k8jYdgA6NY binary_op_definition= 'None', output=878","layer":3},{"info":"number node, value=5209","layer":4},{"info":"number node, value=4644","layer":4},{"info":"compute binary expreesion, left_input=5209, right_input=4644, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=878, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=1163","layer":4},{"info":"compute unary expreesion, input=1163, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-6524","layer":3},{"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":"compute binary expreesion, left_input=-6524, 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=1158","layer":4},{"info":"number node, value=2545","layer":4},{"info":"compute binary expreesion, left_input=1158, right_input=2545, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=3178","layer":4},{"info":"number node, value=4673","layer":4},{"info":"compute binary expreesion, left_input=3178, right_input=4673, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3178","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=3178, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=3018","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3018, op_id = 9HNa5Wba9A binary_op_definition= 'None', 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":11,"result_base":11,"text":"((⋰*⋻1354⩚⊴⇥⋰*⋻1063)⪢(⋰*⋻4012⨪↰⇹⋰*⋻1574)⨵⪆(⋰*⋻4495%⋰*⋻1989)⩷∴⋰*⋻3A06⨟⋌⩍⋰*⋻3542)⋥≓≎((↩⋰*⋻968)≹⇙⪍(⇁⨣⪵⋰*⋻275A)*((⋰*⋻963⨵⪆⋰*⋻1A04)⇼⇔∾⋰*⋻242A⋝⋈⪟⋰*⋻3569))=NaN","reverse_text":"NaN=((⋰*⋻1354⩚⊴⇥⋰*⋻1063)⪢(⋰*⋻4012⨪↰⇹⋰*⋻1574)⨵⪆(⋰*⋻4495%⋰*⋻1989)⩷∴⋰*⋻3A06⨟⋌⩍⋰*⋻3542)⋥≓≎((↩⋰*⋻968)≹⇙⪍(⇁⨣⪵⋰*⋻275A)*((⋰*⋻963⨵⪆⋰*⋻1A04)⇼⇔∾⋰*⋻242A⋝⋈⪟⋰*⋻3569))","cot":[{"info":"⋰*⋻1354⩚⊴⇥⋰*⋻1063=⋰*⋻-2507","layer":3},{"info":"⋰*⋻4012⨪↰⇹⋰*⋻1574=⋰*⋻4012","layer":3},{"info":"⋰*⋻-2507⪢⋰*⋻4012=NaN","layer":2},{"info":"⋰*⋻4495%⋰*⋻1989=⋰*⋻729","layer":3},{"info":"⋰*⋻3A06⨟⋌⩍⋰*⋻3542=NaN","layer":3},{"info":"⋰*⋻729⩷∴NaN=NaN","layer":2},{"info":"NaN⨵⪆NaN=⋰*⋻136","layer":1},{"info":"↩⋰*⋻968=⋰*⋻-49A1","layer":3},{"info":"⇁⨣⪵⋰*⋻275A=NaN","layer":3},{"info":"⋰*⋻-49A1≹⇙⪍NaN=NaN","layer":2},{"info":"⋰*⋻963⨵⪆⋰*⋻1A04=⋰*⋻136","layer":3},{"info":"⋰*⋻242A⋝⋈⪟⋰*⋻3569=⋰*⋻242A","layer":3},{"info":"⋰*⋻136⇼⇔∾⋰*⋻242A=⋰*⋻22A4","layer":2},{"info":"NaN*⋰*⋻22A4=NaN","layer":1},{"info":"⋰*⋻136⋥≓≎NaN=NaN","layer":0}]}
{"id":406,"expression_no_base_symbol":"(((⊥$3349$)⊭↱($2521$⨵⪆$1216$))⋳⪒($1359$⩨$2828$-$8111$-$1747$))∀⇚≩((($1290$⪨≂$1694$)⨎(⨵≀≌$1761$))⊪)","expression":"(((⊥⋰*⋻2575)⊭↱(⋰*⋻1992⨵⪆⋰*⋻A06))⋳⪒(⋰*⋻1026⩨⋰*⋻2141-⋰*⋻6104-⋰*⋻1349))∀⇚≩(((⋰*⋻A73⪨≂⋰*⋻1300)⨎(⨵≀≌⋰*⋻1361))⊪)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":15898,"operation_count":12,"complexity_ratio":1324.8333333333333,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":3349,"base":11}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2521,"base":11},"right_expr":{"type":"numeric_atoms","value":1216,"base":11}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1359,"base":11},"right_expr":{"type":"numeric_atoms","value":2828,"base":11}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":8111,"base":11},"right_expr":{"type":"numeric_atoms","value":1747,"base":11}}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1290,"base":11},"right_expr":{"type":"numeric_atoms","value":1694,"base":11}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1761,"base":11}}}}},"used_operators":["LRNGc0VcxI","12rbrZMWeM","COABgblf1C","Q3PJZHRvZv","2DQ55sFlQl","rysDP5nf3Z","2DlMacCsIx","zVYPLywUTj","rJVOvQCfKK","sdazOOVcIp","srAu1WTS94"],"dependent_operators":["X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3349","layer":4},{"info":"compute unary expreesion, input=3349, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=2521","layer":4},{"info":"number node, value=1216","layer":4},{"info":"compute binary expreesion, left_input=2521, right_input=1216, 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 = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"number node, value=1359","layer":4},{"info":"number node, value=2828","layer":4},{"info":"compute binary expreesion, left_input=1359, right_input=2828, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":3},{"info":"number node, value=8111","layer":4},{"info":"number node, value=1747","layer":4},{"info":"compute binary expreesion, left_input=8111, right_input=1747, op_id = rysDP5nf3Z binary_op_definition= 'None', output=6364","layer":3},{"info":"compute binary expreesion, left_input=-6, right_input=6364, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-6370","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-6370, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"number node, value=1290","layer":4},{"info":"number node, value=1694","layer":4},{"info":"compute binary expreesion, left_input=1290, right_input=1694, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-706","layer":3},{"info":"number node, value=1761","layer":4},{"info":"compute unary expreesion, input=1761, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-5283","layer":3},{"info":"compute binary expreesion, left_input=-706, right_input=-5283, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-5283","layer":2},{"info":"compute unary expreesion, input=-5283, 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=279714140","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=279714140, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((⊥⋰*⋻2575)⊭↱(⋰*⋻1992⨵⪆⋰*⋻A06))⋳⪒(⋰*⋻1026⩨⋰*⋻2141-⋰*⋻6104-⋰*⋻1349))∀⇚≩(((⋰*⋻A73⪨≂⋰*⋻1300)⨎(⨵≀≌⋰*⋻1361))⊪)=NaN","reverse_text":"NaN=(((⊥⋰*⋻2575)⊭↱(⋰*⋻1992⨵⪆⋰*⋻A06))⋳⪒(⋰*⋻1026⩨⋰*⋻2141-⋰*⋻6104-⋰*⋻1349))∀⇚≩(((⋰*⋻A73⪨≂⋰*⋻1300)⨎(⨵≀≌⋰*⋻1361))⊪)","cot":[{"info":"⊥⋰*⋻2575=NaN","layer":3},{"info":"⋰*⋻1992⨵⪆⋰*⋻A06=⋰*⋻136","layer":3},{"info":"NaN⊭↱⋰*⋻136=NaN","layer":2},{"info":"⋰*⋻1026⩨⋰*⋻2141=⋰*⋻-6","layer":3},{"info":"⋰*⋻6104-⋰*⋻1349=⋰*⋻4866","layer":3},{"info":"⋰*⋻-6-⋰*⋻4866=⋰*⋻-4871","layer":2},{"info":"NaN⋳⪒⋰*⋻-4871=NaN","layer":1},{"info":"⋰*⋻A73⪨≂⋰*⋻1300=⋰*⋻-592","layer":3},{"info":"⨵≀≌⋰*⋻1361=⋰*⋻-3A73","layer":3},{"info":"⋰*⋻-592⨎⋰*⋻-3A73=⋰*⋻-3A73","layer":2},{"info":"⋰*⋻-3A73⊪=⋰*⋻133989412","layer":1},{"info":"NaN∀⇚≩⋰*⋻133989412=NaN","layer":0}]}
{"id":407,"expression_no_base_symbol":"((↽≂$4784$)⨪↰⇹$1510$⪮%⊝$1800$%(-$1288$)∼($4582$⋫))⪒($1847$⋓$1533$)⊴($6568$⩷∴$4180$)⪛((↽≂$5325$)+⇶⊼($3742$/$1867$))","expression":"((↽≂⋰*⋻365A)⨪↰⇹⋰*⋻1153⪮%⊝⋰*⋻1397%(-⋰*⋻A71)∼(⋰*⋻3496⋫))⪒(⋰*⋻142A⋓⋰*⋻1174)⊴(⋰*⋻4A31⩷∴⋰*⋻3160)⪛((↽≂⋰*⋻4001)+⇶⊼(⋰*⋻28A2/⋰*⋻1448))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":24301,"operation_count":15,"complexity_ratio":1620.0666666666666,"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":4784,"base":11}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1510,"base":11},"right_expr":{"type":"numeric_atoms","value":1800,"base":11}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1288,"base":11}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":4582,"base":11}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1847,"base":11},"right_expr":{"type":"numeric_atoms","value":1533,"base":11}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":6568,"base":11},"right_expr":{"type":"numeric_atoms","value":4180,"base":11}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":5325,"base":11}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3742,"base":11},"right_expr":{"type":"numeric_atoms","value":1867,"base":11}}}}},"used_operators":["f6k1SAg4EE","k8jYdgA6NY","tmPS8pqC7x","u6S6b8DprG","IWmyXbctLI","DyGG3AbaNP","t8gj7n24qd","JL8yIekQnl","uFcxV4UQCh","Nsiff2A1zJ","T2fj7uvVaJ","9FxExcQeMw","TpPTUOHfaN","XhwjNDsVaA"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","tmPS8pqC7x","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","14qkJME0vr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","AHs5Up7iyr","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4784","layer":4},{"info":"compute unary expreesion, input=4784, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-9568","layer":3},{"info":"number node, value=1510","layer":4},{"info":"number node, value=1800","layer":4},{"info":"compute binary expreesion, left_input=1510, right_input=1800, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3336","layer":3},{"info":"compute binary expreesion, left_input=-9568, right_input=3336, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=-9568","layer":2},{"info":"number node, value=1288","layer":4},{"info":"compute unary expreesion, input=1288, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1288","layer":3},{"info":"number node, value=4582","layer":4},{"info":"compute unary expreesion, input=4582, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=4582","layer":3},{"info":"compute binary expreesion, left_input=-1288, right_input=4582, 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=-9568, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1847","layer":4},{"info":"number node, value=1533","layer":4},{"info":"compute binary expreesion, left_input=1847, right_input=1533, op_id = T2fj7uvVaJ binary_op_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=6568","layer":4},{"info":"number node, value=4180","layer":4},{"info":"compute binary expreesion, left_input=6568, right_input=4180, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=4744","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4744, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=5325","layer":4},{"info":"compute unary expreesion, input=5325, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-10650","layer":3},{"info":"number node, value=3742","layer":4},{"info":"number node, value=1867","layer":4},{"info":"compute binary expreesion, left_input=3742, right_input=1867, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"compute binary expreesion, left_input=-10650, right_input=2, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((↽≂⋰*⋻365A)⨪↰⇹⋰*⋻1153⪮%⊝⋰*⋻1397%(-⋰*⋻A71)∼(⋰*⋻3496⋫))⪒(⋰*⋻142A⋓⋰*⋻1174)⊴(⋰*⋻4A31⩷∴⋰*⋻3160)⪛((↽≂⋰*⋻4001)+⇶⊼(⋰*⋻28A2/⋰*⋻1448))=NaN","reverse_text":"NaN=((↽≂⋰*⋻365A)⨪↰⇹⋰*⋻1153⪮%⊝⋰*⋻1397%(-⋰*⋻A71)∼(⋰*⋻3496⋫))⪒(⋰*⋻142A⋓⋰*⋻1174)⊴(⋰*⋻4A31⩷∴⋰*⋻3160)⪛((↽≂⋰*⋻4001)+⇶⊼(⋰*⋻28A2/⋰*⋻1448))","cot":[{"info":"↽≂⋰*⋻365A=⋰*⋻-7209","layer":3},{"info":"⋰*⋻1153⪮%⊝⋰*⋻1397=⋰*⋻2563","layer":3},{"info":"⋰*⋻-7209⨪↰⇹⋰*⋻2563=⋰*⋻-7209","layer":2},{"info":"-⋰*⋻A71=⋰*⋻-A71","layer":3},{"info":"⋰*⋻3496⋫=⋰*⋻3496","layer":3},{"info":"⋰*⋻-A71∼⋰*⋻3496=NaN","layer":2},{"info":"⋰*⋻-7209%NaN=NaN","layer":1},{"info":"⋰*⋻142A⋓⋰*⋻1174=⋰*⋻0","layer":3},{"info":"⋰*⋻4A31⩷∴⋰*⋻3160=⋰*⋻3623","layer":3},{"info":"⋰*⋻0⊴⋰*⋻3623=NaN","layer":2},{"info":"↽≂⋰*⋻4001=⋰*⋻-8002","layer":3},{"info":"⋰*⋻28A2/⋰*⋻1448=⋰*⋻2","layer":3},{"info":"⋰*⋻-8002+⇶⊼⋰*⋻2=NaN","layer":2},{"info":"NaN⪛NaN=NaN","layer":1},{"info":"NaN⪒NaN=NaN","layer":0}]}
{"id":408,"expression_no_base_symbol":"(≉(⇁⨣⪵$4631$)⨳⩥⨓(+⊝⨔$1641$))≎⊠⪸($3619$⫡⨏$3842$⋷($2572$⫡⨏$1819$))⨓($1817$⋓$5621$↛⩡⫤)","expression":"(≉(⇁⨣⪵⋰*⋻3530)⨳⩥⨓(+⊝⨔⋰*⋻1262))≎⊠⪸(⋰*⋻27A0⫡⨏⋰*⋻2983⋷(⋰*⋻1A29⫡⨏⋰*⋻1404))⨓(⋰*⋻1402⋓⋰*⋻4250↛⩡⫤)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":159,"operation_count":11,"complexity_ratio":14.454545454545455,"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":4631,"base":11}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1641,"base":11}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3619,"base":11},"right_expr":{"type":"numeric_atoms","value":3842,"base":11}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2572,"base":11},"right_expr":{"type":"numeric_atoms","value":1819,"base":11}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1817,"base":11},"right_expr":{"type":"numeric_atoms","value":5621,"base":11}}}}},"used_operators":["bJkvcejdHO","e1ybzncUwg","nCS4ZIUYfx","inkyxCbjAn","DhbWaqg5eL","3ViojmjbAp","23Mk6UjR3U","QMFrweE19q","FU0Cs4j7VP","T2fj7uvVaJ"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","B5M0gjZbta","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⋰*⋻61","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4631","layer":4},{"info":"compute unary expreesion, input=4631, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=1641","layer":4},{"info":"compute unary expreesion, input=1641, 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 = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":1},{"info":"number node, value=3619","layer":4},{"info":"number node, value=3842","layer":4},{"info":"compute binary expreesion, left_input=3619, right_input=3842, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=26562","layer":3},{"info":"number node, value=2572","layer":4},{"info":"number node, value=1819","layer":4},{"info":"compute binary expreesion, left_input=2572, right_input=1819, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=17281","layer":3},{"info":"compute binary expreesion, left_input=26562, right_input=17281, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=8000","layer":2},{"info":"number node, value=1817","layer":4},{"info":"number node, value=5621","layer":4},{"info":"compute binary expreesion, left_input=1817, right_input=5621, op_id = T2fj7uvVaJ binary_op_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":"compute binary expreesion, left_input=8000, right_input=0, 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 = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":11,"result_base":11,"text":"(≉(⇁⨣⪵⋰*⋻3530)⨳⩥⨓(+⊝⨔⋰*⋻1262))≎⊠⪸(⋰*⋻27A0⫡⨏⋰*⋻2983⋷(⋰*⋻1A29⫡⨏⋰*⋻1404))⨓(⋰*⋻1402⋓⋰*⋻4250↛⩡⫤)=⋰*⋻61","reverse_text":"⋰*⋻61=(≉(⇁⨣⪵⋰*⋻3530)⨳⩥⨓(+⊝⨔⋰*⋻1262))≎⊠⪸(⋰*⋻27A0⫡⨏⋰*⋻2983⋷(⋰*⋻1A29⫡⨏⋰*⋻1404))⨓(⋰*⋻1402⋓⋰*⋻4250↛⩡⫤)","cot":[{"info":"⇁⨣⪵⋰*⋻3530=NaN","layer":3},{"info":"+⊝⨔⋰*⋻1262=⋰*⋻1164","layer":3},{"info":"NaN⨳⩥⨓⋰*⋻1164=NaN","layer":2},{"info":"≉NaN=NaN","layer":1},{"info":"⋰*⋻27A0⫡⨏⋰*⋻2983=⋰*⋻18A58","layer":3},{"info":"⋰*⋻1A29⫡⨏⋰*⋻1404=⋰*⋻11A90","layer":3},{"info":"⋰*⋻18A58⋷⋰*⋻11A90=⋰*⋻6013","layer":2},{"info":"⋰*⋻1402⋓⋰*⋻4250=⋰*⋻0","layer":3},{"info":"⋰*⋻0↛⩡⫤=⋰*⋻0","layer":2},{"info":"⋰*⋻6013⨓⋰*⋻0=NaN","layer":1},{"info":"NaN≎⊠⪸NaN=⋰*⋻61","layer":0}]}
{"id":409,"expression_no_base_symbol":"(∥⊫($1441$⩷∴$2492$)⨟⋌⩍(≉$5666$))⪮%⊝((⨞⊢(⨰⫟⨤$1497$))⨓(↥$3391$⨐⩸⫘$1415$))","expression":"(∥⊫(⋰*⋻10A0⩷∴⋰*⋻1966)⨟⋌⩍(≉⋰*⋻4291))⪮%⊝((⨞⊢(⨰⫟⨤⋰*⋻1141))⨓(↥⋰*⋻2603⨐⩸⫘⋰*⋻1077))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":5180,"operation_count":10,"complexity_ratio":518.0,"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":1441,"base":11},"right_expr":{"type":"numeric_atoms","value":2492,"base":11}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":5666,"base":11}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1497,"base":11}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3391,"base":11},"right_expr":{"type":"numeric_atoms","value":1415,"base":11}}}}},"used_operators":["IWmyXbctLI","P8v4zCKN1o","rGHVDoGpnC","9FxExcQeMw","e1ybzncUwg","3ViojmjbAp","xUOZtlo3hN","Tw270M8GLb","A8NUZmVepG","fu6greOZ01"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","k8jYdgA6NY","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1441","layer":4},{"info":"number node, value=2492","layer":4},{"info":"compute binary expreesion, left_input=1441, right_input=2492, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2134","layer":3},{"info":"number node, value=5666","layer":4},{"info":"compute unary expreesion, input=5666, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=6197","layer":3},{"info":"compute binary expreesion, left_input=-2134, right_input=6197, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":1},{"info":"number node, value=1497","layer":4},{"info":"compute unary expreesion, input=1497, 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 = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":2},{"info":"number node, value=3391","layer":4},{"info":"number node, value=1415","layer":4},{"info":"compute binary expreesion, left_input=3391, 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":"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 = 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 = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(∥⊫(⋰*⋻10A0⩷∴⋰*⋻1966)⨟⋌⩍(≉⋰*⋻4291))⪮%⊝((⨞⊢(⨰⫟⨤⋰*⋻1141))⨓(↥⋰*⋻2603⨐⩸⫘⋰*⋻1077))=NaN","reverse_text":"NaN=(∥⊫(⋰*⋻10A0⩷∴⋰*⋻1966)⨟⋌⩍(≉⋰*⋻4291))⪮%⊝((⨞⊢(⨰⫟⨤⋰*⋻1141))⨓(↥⋰*⋻2603⨐⩸⫘⋰*⋻1077))","cot":[{"info":"⋰*⋻10A0⩷∴⋰*⋻1966=⋰*⋻-1670","layer":3},{"info":"≉⋰*⋻4291=⋰*⋻4724","layer":3},{"info":"⋰*⋻-1670⨟⋌⩍⋰*⋻4724=NaN","layer":2},{"info":"∥⊫NaN=NaN","layer":1},{"info":"⨰⫟⨤⋰*⋻1141=NaN","layer":3},{"info":"⨞⊢NaN=NaN","layer":2},{"info":"⋰*⋻2603⨐⩸⫘⋰*⋻1077=NaN","layer":3},{"info":"↥NaN=NaN","layer":2},{"info":"NaN⨓NaN=NaN","layer":1},{"info":"NaN⪮%⊝NaN=NaN","layer":0}]}
{"id":410,"expression_no_base_symbol":"(($2090$⊦⊿)/$5336$⫥∨⫟$1992$)⩚⊴⇥$3087$⪢$1402$⩷∴$2008$⪢$2771$⊉≛↸(($1812$⊭↱$5241$)⨳⩥⨓($2215$⊭↱$1778$))⫥∨⫟($4453$⪘⫢$4875$⋷$7122$*$3376$)","expression":"((⋰*⋻1630⊦⊿)/⋰*⋻4011⫥∨⫟⋰*⋻1551)⩚⊴⇥⋰*⋻2357⪢⋰*⋻1065⩷∴⋰*⋻1566⪢⋰*⋻209A⊉≛↸((⋰*⋻13A8⊭↱⋰*⋻3A35)⨳⩥⨓(⋰*⋻1734⊭↱⋰*⋻1377))⫥∨⫟(⋰*⋻3389⪘⫢⋰*⋻3732⋷⋰*⋻5395*⋰*⋻259A)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8957,"operation_count":15,"complexity_ratio":597.1333333333333,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":2090,"base":11}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5336,"base":11},"right_expr":{"type":"numeric_atoms","value":1992,"base":11}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3087,"base":11},"right_expr":{"type":"numeric_atoms","value":1402,"base":11}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2008,"base":11},"right_expr":{"type":"numeric_atoms","value":2771,"base":11}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1812,"base":11},"right_expr":{"type":"numeric_atoms","value":5241,"base":11}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2215,"base":11},"right_expr":{"type":"numeric_atoms","value":1778,"base":11}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4453,"base":11},"right_expr":{"type":"numeric_atoms","value":4875,"base":11}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":7122,"base":11},"right_expr":{"type":"numeric_atoms","value":3376,"base":11}}}}},"used_operators":["DZ8iAZOCBD","NTOWxs364D","XhwjNDsVaA","14qkJME0vr","KYD54nUTWz","9FxExcQeMw","dWAJyo7jo9","nCS4ZIUYfx","COABgblf1C","23Mk6UjR3U","oacrs7FA3X","9HNa5Wba9A"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2090","layer":4},{"info":"compute unary expreesion, input=2090, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-6349","layer":3},{"info":"number node, value=5336","layer":4},{"info":"number node, value=1992","layer":4},{"info":"compute binary expreesion, left_input=5336, right_input=1992, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-6349, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=3087","layer":4},{"info":"number node, value=1402","layer":4},{"info":"compute binary expreesion, left_input=3087, right_input=1402, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=2008","layer":4},{"info":"number node, value=2771","layer":4},{"info":"compute binary expreesion, left_input=2008, right_input=2771, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"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 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=1812","layer":4},{"info":"number node, value=5241","layer":4},{"info":"compute binary expreesion, left_input=1812, right_input=5241, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=6863","layer":3},{"info":"number node, value=2215","layer":4},{"info":"number node, value=1778","layer":4},{"info":"compute binary expreesion, left_input=2215, right_input=1778, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-869","layer":3},{"info":"compute binary expreesion, left_input=6863, right_input=-869, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-7732","layer":2},{"info":"number node, value=4453","layer":4},{"info":"number node, value=4875","layer":4},{"info":"compute binary expreesion, left_input=4453, right_input=4875, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=8782","layer":3},{"info":"number node, value=7122","layer":4},{"info":"number node, value=3376","layer":4},{"info":"compute binary expreesion, left_input=7122, right_input=3376, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=24043872","layer":3},{"info":"compute binary expreesion, left_input=8782, right_input=24043872, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=48078962","layer":2},{"info":"compute binary expreesion, left_input=-7732, right_input=48078962, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1630⊦⊿)/⋰*⋻4011⫥∨⫟⋰*⋻1551)⩚⊴⇥⋰*⋻2357⪢⋰*⋻1065⩷∴⋰*⋻1566⪢⋰*⋻209A⊉≛↸((⋰*⋻13A8⊭↱⋰*⋻3A35)⨳⩥⨓(⋰*⋻1734⊭↱⋰*⋻1377))⫥∨⫟(⋰*⋻3389⪘⫢⋰*⋻3732⋷⋰*⋻5395*⋰*⋻259A)=NaN","reverse_text":"NaN=((⋰*⋻1630⊦⊿)/⋰*⋻4011⫥∨⫟⋰*⋻1551)⩚⊴⇥⋰*⋻2357⪢⋰*⋻1065⩷∴⋰*⋻1566⪢⋰*⋻209A⊉≛↸((⋰*⋻13A8⊭↱⋰*⋻3A35)⨳⩥⨓(⋰*⋻1734⊭↱⋰*⋻1377))⫥∨⫟(⋰*⋻3389⪘⫢⋰*⋻3732⋷⋰*⋻5395*⋰*⋻259A)","cot":[{"info":"⋰*⋻1630⊦⊿=⋰*⋻-4852","layer":3},{"info":"⋰*⋻4011⫥∨⫟⋰*⋻1551=NaN","layer":3},{"info":"⋰*⋻-4852/NaN=NaN","layer":2},{"info":"⋰*⋻2357⪢⋰*⋻1065=NaN","layer":3},{"info":"⋰*⋻1566⪢⋰*⋻209A=NaN","layer":3},{"info":"NaN⩷∴NaN=NaN","layer":2},{"info":"NaN⩚⊴⇥NaN=NaN","layer":1},{"info":"⋰*⋻13A8⊭↱⋰*⋻3A35=⋰*⋻517A","layer":3},{"info":"⋰*⋻1734⊭↱⋰*⋻1377=⋰*⋻-720","layer":3},{"info":"⋰*⋻517A⨳⩥⨓⋰*⋻-720=⋰*⋻-589A","layer":2},{"info":"⋰*⋻3389⪘⫢⋰*⋻3732=⋰*⋻6664","layer":3},{"info":"⋰*⋻5395*⋰*⋻259A=⋰*⋻12632576","layer":3},{"info":"⋰*⋻6664⋷⋰*⋻12632576=⋰*⋻25159488","layer":2},{"info":"⋰*⋻-589A⫥∨⫟⋰*⋻25159488=NaN","layer":1},{"info":"NaN⊉≛↸NaN=NaN","layer":0}]}
{"id":411,"expression_no_base_symbol":"(≤/($1035$⫌⩹⨱))⨎(⫓⪴$4600$)⨰$3977$≹⇙⪍$4298$%(($3442$⪨≂$1509$)⪄($2428$⨵⪆$3752$))⨓(($4319$⋷$3606$)+⇶⊼($1126$*$1039$))","expression":"(≤/(⋰*⋻861⫌⩹⨱))⨎(⫓⪴⋰*⋻3502)⨰⋰*⋻2A96≹⇙⪍⋰*⋻3258%((⋰*⋻264A⪨≂⋰*⋻1152)⪄(⋰*⋻1908⨵⪆⋰*⋻2901))⨓((⋰*⋻3277⋷⋰*⋻2789)+⇶⊼(⋰*⋻934*⋰*⋻865))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5768,"operation_count":14,"complexity_ratio":412.0,"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":1035,"base":11}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":4600,"base":11}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3977,"base":11},"right_expr":{"type":"numeric_atoms","value":4298,"base":11}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3442,"base":11},"right_expr":{"type":"numeric_atoms","value":1509,"base":11}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2428,"base":11},"right_expr":{"type":"numeric_atoms","value":3752,"base":11}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":4319,"base":11},"right_expr":{"type":"numeric_atoms","value":3606,"base":11}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1126,"base":11},"right_expr":{"type":"numeric_atoms","value":1039,"base":11}}}}},"used_operators":["k8jYdgA6NY","rJVOvQCfKK","eLAdDNolq6","EBcxylXtPf","eewbuw0ToL","eLxqMNBOBk","AHs5Up7iyr","3ViojmjbAp","SUmda5xLS4","sdazOOVcIp","2DQ55sFlQl","TpPTUOHfaN","23Mk6UjR3U","9HNa5Wba9A"],"dependent_operators":["rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","dWAJyo7jo9","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1035","layer":4},{"info":"compute unary expreesion, input=1035, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=3471","layer":3},{"info":"compute unary expreesion, input=3471, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2987","layer":2},{"info":"number node, value=4600","layer":4},{"info":"compute unary expreesion, input=4600, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=21160000","layer":3},{"info":"number node, value=3977","layer":4},{"info":"number node, value=4298","layer":4},{"info":"compute binary expreesion, left_input=3977, right_input=4298, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=21160000, 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=-2987, 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=3442","layer":4},{"info":"number node, value=1509","layer":4},{"info":"compute binary expreesion, left_input=3442, right_input=1509, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=3968","layer":3},{"info":"number node, value=2428","layer":4},{"info":"number node, value=3752","layer":4},{"info":"compute binary expreesion, left_input=2428, right_input=3752, 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=3968, right_input=160, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-583993","layer":2},{"info":"number node, value=4319","layer":4},{"info":"number node, value=3606","layer":4},{"info":"compute binary expreesion, left_input=4319, right_input=3606, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2893","layer":3},{"info":"number node, value=1126","layer":4},{"info":"number node, value=1039","layer":4},{"info":"compute binary expreesion, left_input=1126, right_input=1039, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=1169914","layer":3},{"info":"compute binary expreesion, left_input=2893, right_input=1169914, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=-583993, 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 = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"(≤/(⋰*⋻861⫌⩹⨱))⨎(⫓⪴⋰*⋻3502)⨰⋰*⋻2A96≹⇙⪍⋰*⋻3258%((⋰*⋻264A⪨≂⋰*⋻1152)⪄(⋰*⋻1908⨵⪆⋰*⋻2901))⨓((⋰*⋻3277⋷⋰*⋻2789)+⇶⊼(⋰*⋻934*⋰*⋻865))=NaN","reverse_text":"NaN=(≤/(⋰*⋻861⫌⩹⨱))⨎(⫓⪴⋰*⋻3502)⨰⋰*⋻2A96≹⇙⪍⋰*⋻3258%((⋰*⋻264A⪨≂⋰*⋻1152)⪄(⋰*⋻1908⨵⪆⋰*⋻2901))⨓((⋰*⋻3277⋷⋰*⋻2789)+⇶⊼(⋰*⋻934*⋰*⋻865))","cot":[{"info":"⋰*⋻861⫌⩹⨱=⋰*⋻2676","layer":3},{"info":"≤/⋰*⋻2676=⋰*⋻-2276","layer":2},{"info":"⫓⪴⋰*⋻3502=⋰*⋻10A42904","layer":3},{"info":"⋰*⋻2A96≹⇙⪍⋰*⋻3258=NaN","layer":3},{"info":"⋰*⋻10A42904⨰NaN=NaN","layer":2},{"info":"⋰*⋻-2276⨎NaN=NaN","layer":1},{"info":"⋰*⋻264A⪨≂⋰*⋻1152=⋰*⋻2A88","layer":3},{"info":"⋰*⋻1908⨵⪆⋰*⋻2901=⋰*⋻136","layer":3},{"info":"⋰*⋻2A88⪄⋰*⋻136=⋰*⋻-369843","layer":2},{"info":"⋰*⋻3277⋷⋰*⋻2789=⋰*⋻21A0","layer":3},{"info":"⋰*⋻934*⋰*⋻865=⋰*⋻729A79","layer":3},{"info":"⋰*⋻21A0+⇶⊼⋰*⋻729A79=NaN","layer":2},{"info":"⋰*⋻-369843⨓NaN=NaN","layer":1},{"info":"NaN%NaN=NaN","layer":0}]}
{"id":412,"expression_no_base_symbol":"⨈⫕(($2891$⋳⪒$1071$)⋝⋈⪟$5365$⇷$1402$⩨$2642$+⇶⊼$2975$⩚⊴⇥($4267$⪨≂$3285$))","expression":"⨈⫕((⋰*⋻2199⋳⪒⋰*⋻894)⋝⋈⪟⋰*⋻4038⇷⋰*⋻1065⩨⋰*⋻1A92+⇶⊼⋰*⋻2265⩚⊴⇥(⋰*⋻322A⪨≂⋰*⋻2517))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":75525,"operation_count":8,"complexity_ratio":9440.625,"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":2891,"base":11},"right_expr":{"type":"numeric_atoms","value":1071,"base":11}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":5365,"base":11},"right_expr":{"type":"numeric_atoms","value":1402,"base":11}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2642,"base":11},"right_expr":{"type":"numeric_atoms","value":2975,"base":11}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4267,"base":11},"right_expr":{"type":"numeric_atoms","value":3285,"base":11}}}}},"used_operators":["megm06wKyl","2DlMacCsIx","2DDjHMKMc0","12rbrZMWeM","mp7IySMOzn","NTOWxs364D","TpPTUOHfaN","sdazOOVcIp"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"⋰*⋻-1A","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=2891","layer":4},{"info":"number node, value=1071","layer":4},{"info":"compute binary expreesion, left_input=2891, right_input=1071, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=4424","layer":3},{"info":"number node, value=5365","layer":4},{"info":"number node, value=1402","layer":4},{"info":"compute binary expreesion, left_input=5365, right_input=1402, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2804","layer":3},{"info":"compute binary expreesion, left_input=4424, right_input=2804, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4424","layer":2},{"info":"number node, value=2642","layer":4},{"info":"number node, value=2975","layer":4},{"info":"compute binary expreesion, left_input=2642, right_input=2975, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=4267","layer":4},{"info":"number node, value=3285","layer":4},{"info":"compute binary expreesion, left_input=4267, right_input=3285, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=2066","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2066, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4424, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":0}],"base":11,"result_base":11,"text":"⨈⫕((⋰*⋻2199⋳⪒⋰*⋻894)⋝⋈⪟⋰*⋻4038⇷⋰*⋻1065⩨⋰*⋻1A92+⇶⊼⋰*⋻2265⩚⊴⇥(⋰*⋻322A⪨≂⋰*⋻2517))=⋰*⋻-1A","reverse_text":"⋰*⋻-1A=⨈⫕((⋰*⋻2199⋳⪒⋰*⋻894)⋝⋈⪟⋰*⋻4038⇷⋰*⋻1065⩨⋰*⋻1A92+⇶⊼⋰*⋻2265⩚⊴⇥(⋰*⋻322A⪨≂⋰*⋻2517))","cot":[{"info":"⋰*⋻2199⋳⪒⋰*⋻894=⋰*⋻3362","layer":3},{"info":"⋰*⋻4038⇷⋰*⋻1065=⋰*⋻211A","layer":3},{"info":"⋰*⋻3362⋝⋈⪟⋰*⋻211A=⋰*⋻3362","layer":2},{"info":"⋰*⋻1A92+⇶⊼⋰*⋻2265=NaN","layer":3},{"info":"⋰*⋻322A⪨≂⋰*⋻2517=⋰*⋻1609","layer":3},{"info":"NaN⩚⊴⇥⋰*⋻1609=NaN","layer":2},{"info":"⋰*⋻3362⩨NaN=NaN","layer":1},{"info":"⨈⫕NaN=⋰*⋻-1A","layer":0}]}
{"id":413,"expression_no_base_symbol":"(($1467$⪄$1073$)⨪↰⇹($1342$⪄$1082$)↙((⊥$5144$)⊉≛↸($2644$⪒$2752$)))⨰(($2278$⇷$3073$⇋≉)≣⋋)","expression":"((⋰*⋻1114⪄⋰*⋻896)⨪↰⇹(⋰*⋻1010⪄⋰*⋻8A4)↙((⊥⋰*⋻3957)⊉≛↸(⋰*⋻1A94⪒⋰*⋻2082)))⨰((⋰*⋻1791⇷⋰*⋻2344⇋≉)≣⋋)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":250118,"operation_count":11,"complexity_ratio":22738.0,"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":1467,"base":11},"right_expr":{"type":"numeric_atoms","value":1073,"base":11}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1342,"base":11},"right_expr":{"type":"numeric_atoms","value":1082,"base":11}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":5144,"base":11}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2644,"base":11},"right_expr":{"type":"numeric_atoms","value":2752,"base":11}}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2278,"base":11},"right_expr":{"type":"numeric_atoms","value":3073,"base":11}}}}},"used_operators":["eewbuw0ToL","yyfyN0ffXY","tmPS8pqC7x","SUmda5xLS4","DZ8iAZOCBD","Q3PJZHRvZv","f6k1SAg4EE","Tcnh7f0tEr","XIabStNQrY","mp7IySMOzn"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rJVOvQCfKK","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1467","layer":4},{"info":"number node, value=1073","layer":4},{"info":"compute binary expreesion, left_input=1467, right_input=1073, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-217497","layer":3},{"info":"number node, value=1342","layer":4},{"info":"number node, value=1082","layer":4},{"info":"compute binary expreesion, left_input=1342, right_input=1082, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-199033","layer":3},{"info":"compute binary expreesion, left_input=-217497, right_input=-199033, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=217497","layer":2},{"info":"number node, value=5144","layer":4},{"info":"compute unary expreesion, input=5144, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=2644","layer":4},{"info":"number node, value=2752","layer":4},{"info":"compute binary expreesion, left_input=2644, right_input=2752, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5396","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5396, 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=217497, 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=2278","layer":4},{"info":"number node, value=3073","layer":4},{"info":"compute binary expreesion, left_input=2278, right_input=3073, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6146","layer":3},{"info":"compute unary expreesion, input=6146, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=12194","layer":2},{"info":"compute unary expreesion, input=12194, 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 = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1114⪄⋰*⋻896)⨪↰⇹(⋰*⋻1010⪄⋰*⋻8A4)↙((⊥⋰*⋻3957)⊉≛↸(⋰*⋻1A94⪒⋰*⋻2082)))⨰((⋰*⋻1791⇷⋰*⋻2344⇋≉)≣⋋)=NaN","reverse_text":"NaN=((⋰*⋻1114⪄⋰*⋻896)⨪↰⇹(⋰*⋻1010⪄⋰*⋻8A4)↙((⊥⋰*⋻3957)⊉≛↸(⋰*⋻1A94⪒⋰*⋻2082)))⨰((⋰*⋻1791⇷⋰*⋻2344⇋≉)≣⋋)","cot":[{"info":"⋰*⋻1114⪄⋰*⋻896=⋰*⋻-139455","layer":3},{"info":"⋰*⋻1010⪄⋰*⋻8A4=⋰*⋻-12659A","layer":3},{"info":"⋰*⋻-139455⨪↰⇹⋰*⋻-12659A=⋰*⋻139455","layer":2},{"info":"⊥⋰*⋻3957=NaN","layer":3},{"info":"⋰*⋻1A94⪒⋰*⋻2082=⋰*⋻-4066","layer":3},{"info":"NaN⊉≛↸⋰*⋻-4066=NaN","layer":2},{"info":"⋰*⋻139455↙NaN=NaN","layer":1},{"info":"⋰*⋻1791⇷⋰*⋻2344=⋰*⋻4688","layer":3},{"info":"⋰*⋻4688⇋≉=⋰*⋻9186","layer":2},{"info":"⋰*⋻9186≣⋋=⋰*⋻0","layer":1},{"info":"NaN⨰⋰*⋻0=NaN","layer":0}]}
{"id":414,"expression_no_base_symbol":"((($1408$-$2437$)⋳⪒(↣≠⋷$1663$))∧)∼((($2823$≭$4735$)∀⇚≩(⪝⪂⫅$5859$))⇷($7565$↺$4833$⋷$1905$-$2266$))","expression":"(((⋰*⋻1070-⋰*⋻1916)⋳⪒(↣≠⋷⋰*⋻1282))∧)∼(((⋰*⋻2137≭⋰*⋻3615)∀⇚≩(⪝⪂⫅⋰*⋻4447))⇷(⋰*⋻5758↺⋰*⋻36A4⋷⋰*⋻1482-⋰*⋻1780))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":189,"operation_count":12,"complexity_ratio":15.75,"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":1408,"base":11},"right_expr":{"type":"numeric_atoms","value":2437,"base":11}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1663,"base":11}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2823,"base":11},"right_expr":{"type":"numeric_atoms","value":4735,"base":11}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":5859,"base":11}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":7565,"base":11},"right_expr":{"type":"numeric_atoms","value":4833,"base":11}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1905,"base":11},"right_expr":{"type":"numeric_atoms","value":2266,"base":11}}}}},"used_operators":["DyGG3AbaNP","z63VuFQld9","12rbrZMWeM","rysDP5nf3Z","Asc51vEJeQ","mp7IySMOzn","LRNGc0VcxI","rxpJgHHUmx","XTarYq4gQB","23Mk6UjR3U","7j4O788W3g"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","X99M06cbEe","AHs5Up7iyr","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1408","layer":4},{"info":"number node, value=2437","layer":4},{"info":"compute binary expreesion, left_input=1408, right_input=2437, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1029","layer":3},{"info":"number node, value=1663","layer":4},{"info":"compute unary expreesion, input=1663, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1029, 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 = 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=2823","layer":4},{"info":"number node, value=4735","layer":4},{"info":"compute binary expreesion, left_input=2823, right_input=4735, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=5859","layer":4},{"info":"compute unary expreesion, input=5859, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-861273","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-861273, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=7565","layer":4},{"info":"number node, value=4833","layer":4},{"info":"compute binary expreesion, left_input=7565, right_input=4833, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4833","layer":3},{"info":"number node, value=1905","layer":4},{"info":"number node, value=2266","layer":4},{"info":"compute binary expreesion, left_input=1905, right_input=2266, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-361","layer":3},{"info":"compute binary expreesion, left_input=4833, right_input=-361, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-5555","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-5555, 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 = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻1070-⋰*⋻1916)⋳⪒(↣≠⋷⋰*⋻1282))∧)∼(((⋰*⋻2137≭⋰*⋻3615)∀⇚≩(⪝⪂⫅⋰*⋻4447))⇷(⋰*⋻5758↺⋰*⋻36A4⋷⋰*⋻1482-⋰*⋻1780))=NaN","reverse_text":"NaN=(((⋰*⋻1070-⋰*⋻1916)⋳⪒(↣≠⋷⋰*⋻1282))∧)∼(((⋰*⋻2137≭⋰*⋻3615)∀⇚≩(⪝⪂⫅⋰*⋻4447))⇷(⋰*⋻5758↺⋰*⋻36A4⋷⋰*⋻1482-⋰*⋻1780))","cot":[{"info":"⋰*⋻1070-⋰*⋻1916=⋰*⋻-856","layer":3},{"info":"↣≠⋷⋰*⋻1282=NaN","layer":3},{"info":"⋰*⋻-856⋳⪒NaN=NaN","layer":2},{"info":"NaN∧=NaN","layer":1},{"info":"⋰*⋻2137≭⋰*⋻3615=NaN","layer":3},{"info":"⪝⪂⫅⋰*⋻4447=⋰*⋻-5390A6","layer":3},{"info":"NaN∀⇚≩⋰*⋻-5390A6=NaN","layer":2},{"info":"⋰*⋻5758↺⋰*⋻36A4=⋰*⋻36A4","layer":3},{"info":"⋰*⋻1482-⋰*⋻1780=⋰*⋻-2A9","layer":3},{"info":"⋰*⋻36A4⋷⋰*⋻-2A9=⋰*⋻-41A0","layer":2},{"info":"NaN⇷⋰*⋻-41A0=NaN","layer":1},{"info":"NaN∼NaN=NaN","layer":0}]}
{"id":415,"expression_no_base_symbol":"(⫓⪴((⩦⩻⨪$1838$)+($4286$⇋≉)))⨰(($3059$⊭↱$2266$%$3880$⋓$6276$)⨰(($1718$⊪)⨎($3100$/$1479$)))","expression":"(⫓⪴((⩦⩻⨪⋰*⋻1421)+(⋰*⋻3247⇋≉)))⨰((⋰*⋻2331⊭↱⋰*⋻1780%⋰*⋻2A08⋓⋰*⋻4796)⨰((⋰*⋻1322⊪)⨎(⋰*⋻2369/⋰*⋻1125)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":10387,"operation_count":12,"complexity_ratio":865.5833333333334,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1838,"base":11}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":4286,"base":11}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3059,"base":11},"right_expr":{"type":"numeric_atoms","value":2266,"base":11}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3880,"base":11},"right_expr":{"type":"numeric_atoms","value":6276,"base":11}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":1718,"base":11}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3100,"base":11},"right_expr":{"type":"numeric_atoms","value":1479,"base":11}}}}},"used_operators":["eewbuw0ToL","eLxqMNBOBk","W4YGzv6Whe","2td37pGCOC","XIabStNQrY","k8jYdgA6NY","COABgblf1C","T2fj7uvVaJ","rJVOvQCfKK","zVYPLywUTj","XhwjNDsVaA"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1838","layer":4},{"info":"compute unary expreesion, input=1838, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1838","layer":3},{"info":"number node, value=4286","layer":4},{"info":"compute unary expreesion, input=4286, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=8474","layer":3},{"info":"compute binary expreesion, left_input=1838, right_input=8474, op_id = W4YGzv6Whe binary_op_definition= 'None', output=10312","layer":2},{"info":"compute unary expreesion, input=10312, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=106337344","layer":1},{"info":"number node, value=3059","layer":4},{"info":"number node, value=2266","layer":4},{"info":"compute binary expreesion, left_input=3059, right_input=2266, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-1581","layer":3},{"info":"number node, value=3880","layer":4},{"info":"number node, value=6276","layer":4},{"info":"compute binary expreesion, left_input=3880, right_input=6276, op_id = T2fj7uvVaJ binary_op_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=-1581, right_input=0, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1718","layer":4},{"info":"compute unary expreesion, input=1718, 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=3100","layer":4},{"info":"number node, value=1479","layer":4},{"info":"compute binary expreesion, left_input=3100, right_input=1479, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2","layer":2},{"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":1},{"info":"compute binary expreesion, left_input=106337344, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⫓⪴((⩦⩻⨪⋰*⋻1421)+(⋰*⋻3247⇋≉)))⨰((⋰*⋻2331⊭↱⋰*⋻1780%⋰*⋻2A08⋓⋰*⋻4796)⨰((⋰*⋻1322⊪)⨎(⋰*⋻2369/⋰*⋻1125)))=NaN","reverse_text":"NaN=(⫓⪴((⩦⩻⨪⋰*⋻1421)+(⋰*⋻3247⇋≉)))⨰((⋰*⋻2331⊭↱⋰*⋻1780%⋰*⋻2A08⋓⋰*⋻4796)⨰((⋰*⋻1322⊪)⨎(⋰*⋻2369/⋰*⋻1125)))","cot":[{"info":"⩦⩻⨪⋰*⋻1421=⋰*⋻1421","layer":3},{"info":"⋰*⋻3247⇋≉=⋰*⋻6404","layer":3},{"info":"⋰*⋻1421+⋰*⋻6404=⋰*⋻7825","layer":2},{"info":"⫓⪴⋰*⋻7825=⋰*⋻5502A903","layer":1},{"info":"⋰*⋻2331⊭↱⋰*⋻1780=⋰*⋻-1208","layer":3},{"info":"⋰*⋻2A08⋓⋰*⋻4796=⋰*⋻0","layer":3},{"info":"⋰*⋻-1208%⋰*⋻0=NaN","layer":2},{"info":"⋰*⋻1322⊪=⋰*⋻0","layer":3},{"info":"⋰*⋻2369/⋰*⋻1125=⋰*⋻2","layer":3},{"info":"⋰*⋻0⨎⋰*⋻2=⋰*⋻2","layer":2},{"info":"NaN⨰⋰*⋻2=NaN","layer":1},{"info":"⋰*⋻5502A903⨰NaN=NaN","layer":0}]}
{"id":416,"expression_no_base_symbol":"⨞⊢(↥$1246$≭$1129$)⨰((⩦⩻⨪$2018$)↺$1317$≭$7483$)","expression":"⨞⊢(↥⋰*⋻A33≭⋰*⋻937)⨰((⩦⩻⨪⋰*⋻1575)↺⋰*⋻A98≭⋰*⋻5693)","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":16,"operation_count":7,"complexity_ratio":2.2857142857142856,"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":1246,"base":11},"right_expr":{"type":"numeric_atoms","value":1129,"base":11}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2018,"base":11}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1317,"base":11},"right_expr":{"type":"numeric_atoms","value":7483,"base":11}}}}},"used_operators":["xUOZtlo3hN","eewbuw0ToL","A8NUZmVepG","rxpJgHHUmx","7j4O788W3g","2td37pGCOC"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=1246","layer":4},{"info":"number node, value=1129","layer":4},{"info":"compute binary expreesion, left_input=1246, right_input=1129, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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 = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":2},{"info":"number node, value=2018","layer":4},{"info":"compute unary expreesion, input=2018, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2018","layer":3},{"info":"number node, value=1317","layer":4},{"info":"number node, value=7483","layer":4},{"info":"compute binary expreesion, left_input=1317, right_input=7483, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=2018, 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 = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⨞⊢(↥⋰*⋻A33≭⋰*⋻937)⨰((⩦⩻⨪⋰*⋻1575)↺⋰*⋻A98≭⋰*⋻5693)=NaN","reverse_text":"NaN=⨞⊢(↥⋰*⋻A33≭⋰*⋻937)⨰((⩦⩻⨪⋰*⋻1575)↺⋰*⋻A98≭⋰*⋻5693)","cot":[{"info":"⋰*⋻A33≭⋰*⋻937=NaN","layer":3},{"info":"↥NaN=NaN","layer":2},{"info":"⩦⩻⨪⋰*⋻1575=⋰*⋻1575","layer":3},{"info":"⋰*⋻A98≭⋰*⋻5693=NaN","layer":3},{"info":"⋰*⋻1575↺NaN=NaN","layer":2},{"info":"NaN⨰NaN=NaN","layer":1},{"info":"⨞⊢NaN=NaN","layer":0}]}
{"id":417,"expression_no_base_symbol":"(⨈⫕($4963$⪄$1037$)≧⫂∧($2924$↙$4123$))⋳⪒(↯⪼($3783$⪘⫢$7052$⨓($1028$∲⫓$1288$)))","expression":"(⨈⫕(⋰*⋻3802⪄⋰*⋻863)≧⫂∧(⋰*⋻2219↙⋰*⋻3109))⋳⪒(↯⪼(⋰*⋻292A⪘⫢⋰*⋻5331⨓(⋰*⋻855∲⫓⋰*⋻A71)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4671,"operation_count":9,"complexity_ratio":519.0,"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":4963,"base":11},"right_expr":{"type":"numeric_atoms","value":1037,"base":11}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2924,"base":11},"right_expr":{"type":"numeric_atoms","value":4123,"base":11}}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3783,"base":11},"right_expr":{"type":"numeric_atoms","value":7052,"base":11}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1028,"base":11},"right_expr":{"type":"numeric_atoms","value":1288,"base":11}}}}},"used_operators":["12rbrZMWeM","megm06wKyl","Ph9nP6C5qx","SUmda5xLS4","yyfyN0ffXY","8jW3W4yZS5","3ViojmjbAp","oacrs7FA3X","i8ToyICDmI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","tmPS8pqC7x","DpFCA1CohY","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻-260","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4963","layer":4},{"info":"number node, value=1037","layer":4},{"info":"compute binary expreesion, left_input=4963, right_input=1037, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-734761","layer":3},{"info":"number node, value=2924","layer":4},{"info":"number node, value=4123","layer":4},{"info":"compute binary expreesion, left_input=2924, right_input=4123, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-12369","layer":3},{"info":"compute binary expreesion, left_input=-734761, right_input=-12369, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-722392","layer":2},{"info":"compute unary expreesion, input=-722392, 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=3783","layer":4},{"info":"number node, value=7052","layer":4},{"info":"compute binary expreesion, left_input=3783, right_input=7052, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=7442","layer":3},{"info":"number node, value=1028","layer":4},{"info":"number node, value=1288","layer":4},{"info":"compute binary expreesion, left_input=1028, right_input=1288, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=7442, 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 = 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=-21, right_input=-21, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-308","layer":0}],"base":11,"result_base":11,"text":"(⨈⫕(⋰*⋻3802⪄⋰*⋻863)≧⫂∧(⋰*⋻2219↙⋰*⋻3109))⋳⪒(↯⪼(⋰*⋻292A⪘⫢⋰*⋻5331⨓(⋰*⋻855∲⫓⋰*⋻A71)))=⋰*⋻-260","reverse_text":"⋰*⋻-260=(⨈⫕(⋰*⋻3802⪄⋰*⋻863)≧⫂∧(⋰*⋻2219↙⋰*⋻3109))⋳⪒(↯⪼(⋰*⋻292A⪘⫢⋰*⋻5331⨓(⋰*⋻855∲⫓⋰*⋻A71)))","cot":[{"info":"⋰*⋻3802⪄⋰*⋻863=⋰*⋻-462045","layer":3},{"info":"⋰*⋻2219↙⋰*⋻3109=⋰*⋻-9325","layer":3},{"info":"⋰*⋻-462045≧⫂∧⋰*⋻-9325=⋰*⋻-453820","layer":2},{"info":"⨈⫕⋰*⋻-453820=⋰*⋻-1A","layer":1},{"info":"⋰*⋻292A⪘⫢⋰*⋻5331=⋰*⋻5656","layer":3},{"info":"⋰*⋻855∲⫓⋰*⋻A71=⋰*⋻0","layer":3},{"info":"⋰*⋻5656⨓⋰*⋻0=NaN","layer":2},{"info":"↯⪼NaN=⋰*⋻-1A","layer":1},{"info":"⋰*⋻-1A⋳⪒⋰*⋻-1A=⋰*⋻-260","layer":0}]}
{"id":418,"expression_no_base_symbol":"($1968$+⇶⊼$3624$≭(↣≠⋷$1646$)⪄($1101$⊭↱$2755$)⨪↰⇹(≤/$1099$))∸","expression":"(⋰*⋻152A+⇶⊼⋰*⋻27A5≭(↣≠⋷⋰*⋻1267)⪄(⋰*⋻911⊭↱⋰*⋻2085)⨪↰⇹(≤/⋰*⋻90A))∸","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3524,"operation_count":8,"complexity_ratio":440.5,"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":1968,"base":11},"right_expr":{"type":"numeric_atoms","value":3624,"base":11}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1646,"base":11}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1101,"base":11},"right_expr":{"type":"numeric_atoms","value":2755,"base":11}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1099,"base":11}}}}},"used_operators":["o20kRiQErp","SUmda5xLS4","rxpJgHHUmx","TpPTUOHfaN","Asc51vEJeQ","tmPS8pqC7x","COABgblf1C","eLAdDNolq6"],"dependent_operators":["tmPS8pqC7x","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","AHs5Up7iyr","AHs5Up7iyr","XhwjNDsVaA","AHs5Up7iyr","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⋰*⋻151","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1968","layer":4},{"info":"number node, value=3624","layer":4},{"info":"compute binary expreesion, left_input=1968, right_input=3624, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=1646","layer":4},{"info":"compute unary expreesion, input=1646, 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 = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1101","layer":4},{"info":"number node, value=2755","layer":4},{"info":"compute binary expreesion, left_input=1101, right_input=2755, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=3313","layer":3},{"info":"number node, value=1099","layer":4},{"info":"compute unary expreesion, input=1099, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-615","layer":3},{"info":"compute binary expreesion, left_input=3313, right_input=-615, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3313","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3313, 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 = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻152A+⇶⊼⋰*⋻27A5≭(↣≠⋷⋰*⋻1267)⪄(⋰*⋻911⊭↱⋰*⋻2085)⨪↰⇹(≤/⋰*⋻90A))∸=⋰*⋻151","reverse_text":"⋰*⋻151=(⋰*⋻152A+⇶⊼⋰*⋻27A5≭(↣≠⋷⋰*⋻1267)⪄(⋰*⋻911⊭↱⋰*⋻2085)⨪↰⇹(≤/⋰*⋻90A))∸","cot":[{"info":"⋰*⋻152A+⇶⊼⋰*⋻27A5=NaN","layer":3},{"info":"↣≠⋷⋰*⋻1267=NaN","layer":3},{"info":"NaN≭NaN=NaN","layer":2},{"info":"⋰*⋻911⊭↱⋰*⋻2085=⋰*⋻2542","layer":3},{"info":"≤/⋰*⋻90A=⋰*⋻-50A","layer":3},{"info":"⋰*⋻2542⨪↰⇹⋰*⋻-50A=⋰*⋻2542","layer":2},{"info":"NaN⪄⋰*⋻2542=⋰*⋻2A98","layer":1},{"info":"⋰*⋻2A98∸=⋰*⋻151","layer":0}]}
{"id":419,"expression_no_base_symbol":"(($1022$⊠≄⫣)⨁⊸⫻)⪛($2821$⩨$8115$*($4489$⫡⨏$1026$))⪒($6743$↙$5814$)⨰($5836$⨎$4092$)⪄(⩦⩻⨪$4084$⩷∴$8265$)","expression":"((⋰*⋻84A⊠≄⫣)⨁⊸⫻)⪛(⋰*⋻2135⩨⋰*⋻6108*(⋰*⋻3411⫡⨏⋰*⋻853))⪒(⋰*⋻5080↙⋰*⋻4406)⨰(⋰*⋻4426⨎⋰*⋻3090)⪄(⩦⩻⨪⋰*⋻3083⩷∴⋰*⋻6234)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5956,"operation_count":13,"complexity_ratio":458.15384615384613,"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":1022,"base":11}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2821,"base":11},"right_expr":{"type":"numeric_atoms","value":8115,"base":11}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4489,"base":11},"right_expr":{"type":"numeric_atoms","value":1026,"base":11}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":6743,"base":11},"right_expr":{"type":"numeric_atoms","value":5814,"base":11}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5836,"base":11},"right_expr":{"type":"numeric_atoms","value":4092,"base":11}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4084,"base":11},"right_expr":{"type":"numeric_atoms","value":8265,"base":11}}}}},"used_operators":["f6k1SAg4EE","uFcxV4UQCh","glklzrTFfD","DIvbN7qnHd","9HNa5Wba9A","2DlMacCsIx","QMFrweE19q","SUmda5xLS4","eewbuw0ToL","yyfyN0ffXY","rJVOvQCfKK","2td37pGCOC","9FxExcQeMw"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"⋰*⋻-2A98","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1022","layer":4},{"info":"compute unary expreesion, input=1022, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', 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=2821","layer":4},{"info":"number node, value=8115","layer":4},{"info":"compute binary expreesion, left_input=2821, right_input=8115, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":3},{"info":"number node, value=4489","layer":4},{"info":"number node, value=1026","layer":4},{"info":"compute binary expreesion, left_input=4489, right_input=1026, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=25280","layer":3},{"info":"compute binary expreesion, left_input=-6, right_input=25280, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-151680","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-151680, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=0","layer":1},{"info":"number node, value=6743","layer":4},{"info":"number node, value=5814","layer":4},{"info":"compute binary expreesion, left_input=6743, right_input=5814, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-17442","layer":3},{"info":"number node, value=5836","layer":4},{"info":"number node, value=4092","layer":4},{"info":"compute binary expreesion, left_input=5836, right_input=4092, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4092","layer":3},{"info":"compute binary expreesion, left_input=-17442, right_input=4092, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-21524","layer":2},{"info":"number node, value=4084","layer":4},{"info":"number node, value=8265","layer":4},{"info":"compute binary expreesion, left_input=4084, right_input=8265, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-8394","layer":3},{"info":"compute unary expreesion, input=-8394, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-8394","layer":2},{"info":"compute binary expreesion, left_input=-21524, right_input=-8394, 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=0, right_input=3979, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3979","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻84A⊠≄⫣)⨁⊸⫻)⪛(⋰*⋻2135⩨⋰*⋻6108*(⋰*⋻3411⫡⨏⋰*⋻853))⪒(⋰*⋻5080↙⋰*⋻4406)⨰(⋰*⋻4426⨎⋰*⋻3090)⪄(⩦⩻⨪⋰*⋻3083⩷∴⋰*⋻6234)=⋰*⋻-2A98","reverse_text":"⋰*⋻-2A98=((⋰*⋻84A⊠≄⫣)⨁⊸⫻)⪛(⋰*⋻2135⩨⋰*⋻6108*(⋰*⋻3411⫡⨏⋰*⋻853))⪒(⋰*⋻5080↙⋰*⋻4406)⨰(⋰*⋻4426⨎⋰*⋻3090)⪄(⩦⩻⨪⋰*⋻3083⩷∴⋰*⋻6234)","cot":[{"info":"⋰*⋻84A⊠≄⫣=⋰*⋻0","layer":3},{"info":"⋰*⋻0⨁⊸⫻=⋰*⋻0","layer":2},{"info":"⋰*⋻2135⩨⋰*⋻6108=⋰*⋻-6","layer":3},{"info":"⋰*⋻3411⫡⨏⋰*⋻853=⋰*⋻17AA2","layer":3},{"info":"⋰*⋻-6*⋰*⋻17AA2=⋰*⋻-A3A61","layer":2},{"info":"⋰*⋻0⪛⋰*⋻-A3A61=⋰*⋻0","layer":1},{"info":"⋰*⋻5080↙⋰*⋻4406=⋰*⋻-12117","layer":3},{"info":"⋰*⋻4426⨎⋰*⋻3090=⋰*⋻3090","layer":3},{"info":"⋰*⋻-12117⨰⋰*⋻3090=⋰*⋻-15198","layer":2},{"info":"⋰*⋻3083⩷∴⋰*⋻6234=⋰*⋻-6341","layer":3},{"info":"⩦⩻⨪⋰*⋻-6341=⋰*⋻-6341","layer":2},{"info":"⋰*⋻-15198⪄⋰*⋻-6341=⋰*⋻2A98","layer":1},{"info":"⋰*⋻0⪒⋰*⋻2A98=⋰*⋻-2A98","layer":0}]}
{"id":420,"expression_no_base_symbol":"((⋗⩬⋾$5692$)⪄$1172$∑⇟⊟$1311$⋷($2757$∼$1017$≦≮≮))+⇶⊼((⨈⫕$1213$)⨳⩥⨓(≉$2576$)⪒$1887$⊴$2307$⇷(∂$2238$))","expression":"((⋗⩬⋾⋰*⋻4305)⪄⋰*⋻976∑⇟⊟⋰*⋻A92⋷(⋰*⋻2087∼⋰*⋻845≦≮≮))+⇶⊼((⨈⫕⋰*⋻A03)⨳⩥⨓(≉⋰*⋻1A32)⪒⋰*⋻1466⊴⋰*⋻1808⇷(∂⋰*⋻1755))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2874,"operation_count":14,"complexity_ratio":205.28571428571428,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":5692,"base":11}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1172,"base":11},"right_expr":{"type":"numeric_atoms","value":1311,"base":11}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2757,"base":11},"right_expr":{"type":"numeric_atoms","value":1017,"base":11}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1213,"base":11}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2576,"base":11}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1887,"base":11},"right_expr":{"type":"numeric_atoms","value":2307,"base":11}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2238,"base":11}}}}},"used_operators":["TpPTUOHfaN","23Mk6UjR3U","SUmda5xLS4","DpFCA1CohY","U7g4x0WXJJ","D4vGDi5EA2","DyGG3AbaNP","f6k1SAg4EE","nCS4ZIUYfx","megm06wKyl","e1ybzncUwg","mp7IySMOzn","Nsiff2A1zJ","Uaa54Peajs"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5692","layer":4},{"info":"compute unary expreesion, input=5692, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-17076","layer":3},{"info":"number node, value=1172","layer":4},{"info":"number node, value=1311","layer":4},{"info":"compute binary expreesion, left_input=1172, right_input=1311, 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=-17076, 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=2757","layer":4},{"info":"number node, value=1017","layer":4},{"info":"compute binary expreesion, left_input=2757, right_input=1017, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"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=3979, 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=1213","layer":4},{"info":"compute unary expreesion, input=1213, 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=2576","layer":4},{"info":"compute unary expreesion, input=2576, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3107","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=3107, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=3128","layer":2},{"info":"number node, value=1887","layer":4},{"info":"number node, value=2307","layer":4},{"info":"compute binary expreesion, left_input=1887, right_input=2307, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=2238","layer":4},{"info":"compute unary expreesion, input=2238, 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 = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3128, 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 = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋗⩬⋾⋰*⋻4305)⪄⋰*⋻976∑⇟⊟⋰*⋻A92⋷(⋰*⋻2087∼⋰*⋻845≦≮≮))+⇶⊼((⨈⫕⋰*⋻A03)⨳⩥⨓(≉⋰*⋻1A32)⪒⋰*⋻1466⊴⋰*⋻1808⇷(∂⋰*⋻1755))=NaN","reverse_text":"NaN=((⋗⩬⋾⋰*⋻4305)⪄⋰*⋻976∑⇟⊟⋰*⋻A92⋷(⋰*⋻2087∼⋰*⋻845≦≮≮))+⇶⊼((⨈⫕⋰*⋻A03)⨳⩥⨓(≉⋰*⋻1A32)⪒⋰*⋻1466⊴⋰*⋻1808⇷(∂⋰*⋻1755))","cot":[{"info":"⋗⩬⋾⋰*⋻4305=⋰*⋻-11914","layer":3},{"info":"⋰*⋻976∑⇟⊟⋰*⋻A92=NaN","layer":3},{"info":"⋰*⋻-11914⪄NaN=⋰*⋻2A98","layer":2},{"info":"⋰*⋻2087∼⋰*⋻845=NaN","layer":3},{"info":"NaN≦≮≮=NaN","layer":2},{"info":"⋰*⋻2A98⋷NaN=NaN","layer":1},{"info":"⨈⫕⋰*⋻A03=⋰*⋻-1A","layer":3},{"info":"≉⋰*⋻1A32=⋰*⋻2375","layer":3},{"info":"⋰*⋻-1A⨳⩥⨓⋰*⋻2375=⋰*⋻2394","layer":2},{"info":"⋰*⋻1466⊴⋰*⋻1808=NaN","layer":3},{"info":"∂⋰*⋻1755=NaN","layer":3},{"info":"NaN⇷NaN=NaN","layer":2},{"info":"⋰*⋻2394⪒NaN=NaN","layer":1},{"info":"NaN+⇶⊼NaN=NaN","layer":0}]}
{"id":421,"expression_no_base_symbol":"(⩦⩻⨪(($1751$⫡⨏$2593$)∲⫓$2582$*$3741$))⇷(($5800$-$3212$)⋝⋈⪟($1328$⨵⪆$1428$)/(↯⪼($1106$⫸⊐$2005$)))","expression":"(⩦⩻⨪((⋰*⋻1352⫡⨏⋰*⋻1A48)∲⫓⋰*⋻1A38*⋰*⋻28A1))⇷((⋰*⋻43A3-⋰*⋻2460)⋝⋈⪟(⋰*⋻AA8⨵⪆⋰*⋻1089)/(↯⪼(⋰*⋻916⫸⊐⋰*⋻1563)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2786,"operation_count":11,"complexity_ratio":253.27272727272728,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1751,"base":11},"right_expr":{"type":"numeric_atoms","value":2593,"base":11}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2582,"base":11},"right_expr":{"type":"numeric_atoms","value":3741,"base":11}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":5800,"base":11},"right_expr":{"type":"numeric_atoms","value":3212,"base":11}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1328,"base":11},"right_expr":{"type":"numeric_atoms","value":1428,"base":11}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1106,"base":11},"right_expr":{"type":"numeric_atoms","value":2005,"base":11}}}}},"used_operators":["mp7IySMOzn","2td37pGCOC","i8ToyICDmI","QMFrweE19q","9HNa5Wba9A","XhwjNDsVaA","2DDjHMKMc0","rysDP5nf3Z","2DQ55sFlQl","8jW3W4yZS5","mqXw5SEYmG"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1751","layer":4},{"info":"number node, value=2593","layer":4},{"info":"compute binary expreesion, left_input=1751, right_input=2593, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=14724","layer":3},{"info":"number node, value=2582","layer":4},{"info":"number node, value=3741","layer":4},{"info":"compute binary expreesion, left_input=2582, right_input=3741, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=9659262","layer":3},{"info":"compute binary expreesion, left_input=14724, right_input=9659262, 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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=0","layer":1},{"info":"number node, value=5800","layer":4},{"info":"number node, value=3212","layer":4},{"info":"compute binary expreesion, left_input=5800, right_input=3212, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2588","layer":3},{"info":"number node, value=1328","layer":4},{"info":"number node, value=1428","layer":4},{"info":"compute binary expreesion, left_input=1328, 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=2588, right_input=160, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2588","layer":2},{"info":"number node, value=1106","layer":4},{"info":"number node, value=2005","layer":4},{"info":"compute binary expreesion, left_input=1106, right_input=2005, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=7895","layer":3},{"info":"compute unary expreesion, input=7895, 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=2588, right_input=-21, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-124","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-124, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":0}],"base":11,"result_base":11,"text":"(⩦⩻⨪((⋰*⋻1352⫡⨏⋰*⋻1A48)∲⫓⋰*⋻1A38*⋰*⋻28A1))⇷((⋰*⋻43A3-⋰*⋻2460)⋝⋈⪟(⋰*⋻AA8⨵⪆⋰*⋻1089)/(↯⪼(⋰*⋻916⫸⊐⋰*⋻1563)))=⋰*⋻0","reverse_text":"⋰*⋻0=(⩦⩻⨪((⋰*⋻1352⫡⨏⋰*⋻1A48)∲⫓⋰*⋻1A38*⋰*⋻28A1))⇷((⋰*⋻43A3-⋰*⋻2460)⋝⋈⪟(⋰*⋻AA8⨵⪆⋰*⋻1089)/(↯⪼(⋰*⋻916⫸⊐⋰*⋻1563)))","cot":[{"info":"⋰*⋻1352⫡⨏⋰*⋻1A48=⋰*⋻10076","layer":3},{"info":"⋰*⋻1A38*⋰*⋻28A1=⋰*⋻54A8168","layer":3},{"info":"⋰*⋻10076∲⫓⋰*⋻54A8168=⋰*⋻0","layer":2},{"info":"⩦⩻⨪⋰*⋻0=⋰*⋻0","layer":1},{"info":"⋰*⋻43A3-⋰*⋻2460=⋰*⋻1A43","layer":3},{"info":"⋰*⋻AA8⨵⪆⋰*⋻1089=⋰*⋻136","layer":3},{"info":"⋰*⋻1A43⋝⋈⪟⋰*⋻136=⋰*⋻1A43","layer":2},{"info":"⋰*⋻916⫸⊐⋰*⋻1563=⋰*⋻5A28","layer":3},{"info":"↯⪼⋰*⋻5A28=⋰*⋻-1A","layer":2},{"info":"⋰*⋻1A43/⋰*⋻-1A=⋰*⋻-103","layer":1},{"info":"⋰*⋻0⇷⋰*⋻-103=⋰*⋻0","layer":0}]}
{"id":422,"expression_no_base_symbol":"((($5463$⊘)↺(↔$7145$))+⇶⊼$3184$⊴$3168$⪢$5664$⨟⋌⩍$1116$)⪘⫢(⫛⫱⨽(($2151$⩚⊴⇥$1588$)⪘⫢($2647$≎⊠⪸$9928$)))","expression":"(((⋰*⋻4117⊘)↺(↔⋰*⋻5406))+⇶⊼⋰*⋻2435⊴⋰*⋻2420⪢⋰*⋻428A⨟⋌⩍⋰*⋻925)⪘⫢(⫛⫱⨽((⋰*⋻1686⩚⊴⇥⋰*⋻1214)⪘⫢(⋰*⋻1A97≎⊠⪸⋰*⋻7506)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4606,"operation_count":12,"complexity_ratio":383.8333333333333,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":5463,"base":11}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":7145,"base":11}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3184,"base":11},"right_expr":{"type":"numeric_atoms","value":3168,"base":11}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":5664,"base":11},"right_expr":{"type":"numeric_atoms","value":1116,"base":11}}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2151,"base":11},"right_expr":{"type":"numeric_atoms","value":1588,"base":11}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2647,"base":11},"right_expr":{"type":"numeric_atoms","value":9928,"base":11}}}}},"used_operators":["oacrs7FA3X","TpPTUOHfaN","7j4O788W3g","gu96TGCTMs","ruOEQAzv1W","dWAJyo7jo9","Nsiff2A1zJ","rGHVDoGpnC","DlLNRPXxWL","NTOWxs364D","bJkvcejdHO"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","k8jYdgA6NY","dWAJyo7jo9","14qkJME0vr","Tcnh7f0tEr","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5463","layer":4},{"info":"compute unary expreesion, input=5463, 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=7145","layer":4},{"info":"compute unary expreesion, input=7145, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-6872","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-6872, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-6872","layer":2},{"info":"number node, value=3184","layer":4},{"info":"number node, value=3168","layer":4},{"info":"compute binary expreesion, left_input=3184, right_input=3168, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=5664","layer":4},{"info":"number node, value=1116","layer":4},{"info":"compute binary expreesion, left_input=5664, right_input=1116, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=-6872, 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=2151","layer":4},{"info":"number node, value=1588","layer":4},{"info":"compute binary expreesion, left_input=2151, right_input=1588, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3860","layer":3},{"info":"number node, value=2647","layer":4},{"info":"number node, value=9928","layer":4},{"info":"compute binary expreesion, left_input=2647, right_input=9928, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=685100","layer":3},{"info":"compute binary expreesion, left_input=-3860, right_input=685100, 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 = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻4117⊘)↺(↔⋰*⋻5406))+⇶⊼⋰*⋻2435⊴⋰*⋻2420⪢⋰*⋻428A⨟⋌⩍⋰*⋻925)⪘⫢(⫛⫱⨽((⋰*⋻1686⩚⊴⇥⋰*⋻1214)⪘⫢(⋰*⋻1A97≎⊠⪸⋰*⋻7506)))=NaN","reverse_text":"NaN=(((⋰*⋻4117⊘)↺(↔⋰*⋻5406))+⇶⊼⋰*⋻2435⊴⋰*⋻2420⪢⋰*⋻428A⨟⋌⩍⋰*⋻925)⪘⫢(⫛⫱⨽((⋰*⋻1686⩚⊴⇥⋰*⋻1214)⪘⫢(⋰*⋻1A97≎⊠⪸⋰*⋻7506)))","cot":[{"info":"⋰*⋻4117⊘=⋰*⋻0","layer":3},{"info":"↔⋰*⋻5406=⋰*⋻-5188","layer":3},{"info":"⋰*⋻0↺⋰*⋻-5188=⋰*⋻-5188","layer":2},{"info":"⋰*⋻2435⊴⋰*⋻2420=NaN","layer":3},{"info":"⋰*⋻428A⨟⋌⩍⋰*⋻925=NaN","layer":3},{"info":"NaN⪢NaN=NaN","layer":2},{"info":"⋰*⋻-5188+⇶⊼NaN=NaN","layer":1},{"info":"⋰*⋻1686⩚⊴⇥⋰*⋻1214=⋰*⋻-299A","layer":3},{"info":"⋰*⋻1A97≎⊠⪸⋰*⋻7506=⋰*⋻4287A9","layer":3},{"info":"⋰*⋻-299A⪘⫢⋰*⋻4287A9=⋰*⋻0","layer":2},{"info":"⫛⫱⨽⋰*⋻0=⋰*⋻0","layer":1},{"info":"NaN⪘⫢⋰*⋻0=NaN","layer":0}]}
{"id":423,"expression_no_base_symbol":"($1424$↙$4753$↙(⫛⫱⨽$3336$))⪢($5850$∼$2087$/$2358$⪄$7525$)⨐⩸⫘(($1723$⫡⨏$1432$)∀⇚≩$3832$∀⇚≩$5731$↪⪝)","expression":"(⋰*⋻1085↙⋰*⋻3631↙(⫛⫱⨽⋰*⋻2563))⪢(⋰*⋻4439∼⋰*⋻1628/⋰*⋻1854⪄⋰*⋻5721)⨐⩸⫘((⋰*⋻1327⫡⨏⋰*⋻1092)∀⇚≩⋰*⋻2974∀⇚≩⋰*⋻4340↪⪝)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":119063,"operation_count":12,"complexity_ratio":9921.916666666666,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1424,"base":11},"right_expr":{"type":"numeric_atoms","value":4753,"base":11}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":3336,"base":11}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5850,"base":11},"right_expr":{"type":"numeric_atoms","value":2087,"base":11}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2358,"base":11},"right_expr":{"type":"numeric_atoms","value":7525,"base":11}}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1723,"base":11},"right_expr":{"type":"numeric_atoms","value":1432,"base":11}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3832,"base":11},"right_expr":{"type":"numeric_atoms","value":5731,"base":11}}}}},"used_operators":["fu6greOZ01","dWAJyo7jo9","yyfyN0ffXY","DlLNRPXxWL","XhwjNDsVaA","DyGG3AbaNP","SUmda5xLS4","l07mrZUIn9","LRNGc0VcxI","QMFrweE19q"],"dependent_operators":["3ViojmjbAp","k8jYdgA6NY","tmPS8pqC7x","DpFCA1CohY","rGHVDoGpnC","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9HNa5Wba9A","2DDjHMKMc0","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1424","layer":4},{"info":"number node, value=4753","layer":4},{"info":"compute binary expreesion, left_input=1424, right_input=4753, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-14259","layer":3},{"info":"number node, value=3336","layer":4},{"info":"compute unary expreesion, input=3336, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-14259, right_input=0, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-14259","layer":2},{"info":"number node, value=5850","layer":4},{"info":"number node, value=2087","layer":4},{"info":"compute binary expreesion, left_input=5850, right_input=2087, 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=2358","layer":4},{"info":"number node, value=7525","layer":4},{"info":"compute binary expreesion, left_input=2358, right_input=7525, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-375173","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-375173, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-14259, 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=1723","layer":4},{"info":"number node, value=1432","layer":4},{"info":"compute binary expreesion, left_input=1723, right_input=1432, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=12262","layer":3},{"info":"number node, value=3832","layer":4},{"info":"number node, value=5731","layer":4},{"info":"compute binary expreesion, left_input=3832, right_input=5731, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=12262, 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 = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*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":11,"result_base":11,"text":"(⋰*⋻1085↙⋰*⋻3631↙(⫛⫱⨽⋰*⋻2563))⪢(⋰*⋻4439∼⋰*⋻1628/⋰*⋻1854⪄⋰*⋻5721)⨐⩸⫘((⋰*⋻1327⫡⨏⋰*⋻1092)∀⇚≩⋰*⋻2974∀⇚≩⋰*⋻4340↪⪝)=NaN","reverse_text":"NaN=(⋰*⋻1085↙⋰*⋻3631↙(⫛⫱⨽⋰*⋻2563))⪢(⋰*⋻4439∼⋰*⋻1628/⋰*⋻1854⪄⋰*⋻5721)⨐⩸⫘((⋰*⋻1327⫡⨏⋰*⋻1092)∀⇚≩⋰*⋻2974∀⇚≩⋰*⋻4340↪⪝)","cot":[{"info":"⋰*⋻1085↙⋰*⋻3631=⋰*⋻-A793","layer":3},{"info":"⫛⫱⨽⋰*⋻2563=⋰*⋻0","layer":3},{"info":"⋰*⋻-A793↙⋰*⋻0=⋰*⋻-A793","layer":2},{"info":"⋰*⋻4439∼⋰*⋻1628=NaN","layer":3},{"info":"⋰*⋻1854⪄⋰*⋻5721=⋰*⋻-236967","layer":3},{"info":"NaN/⋰*⋻-236967=NaN","layer":2},{"info":"⋰*⋻-A793⪢NaN=NaN","layer":1},{"info":"⋰*⋻1327⫡⨏⋰*⋻1092=⋰*⋻9238","layer":3},{"info":"⋰*⋻2974∀⇚≩⋰*⋻4340=NaN","layer":3},{"info":"⋰*⋻9238∀⇚≩NaN=NaN","layer":2},{"info":"NaN↪⪝=NaN","layer":1},{"info":"NaN⨐⩸⫘NaN=NaN","layer":0}]}
{"id":424,"expression_no_base_symbol":"(($1478$⪠⩆⊳)⊭↱$1560$⫸⊐$1111$)⪢((⊥$1281$)⩚⊴⇥($2703$⨸⪁$5035$))⫥∨⫟(($3436$⨽$1091$)⨟⋌⩍($4387$⪨≂$4481$)⋷($4541$⨪↰⇹$4502$)∼($2038$*$3739$))","expression":"((⋰*⋻1124⪠⩆⊳)⊭↱⋰*⋻1199⫸⊐⋰*⋻920)⪢((⊥⋰*⋻A65)⩚⊴⇥(⋰*⋻2038⨸⪁⋰*⋻3868))⫥∨⫟((⋰*⋻2644⨽⋰*⋻902)⨟⋌⩍(⋰*⋻3329⪨≂⋰*⋻3404)⋷(⋰*⋻3459⨪↰⇹⋰*⋻3423)∼(⋰*⋻1593*⋰*⋻289A))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":11174,"operation_count":15,"complexity_ratio":744.9333333333333,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1478,"base":11}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1560,"base":11},"right_expr":{"type":"numeric_atoms","value":1111,"base":11}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1281,"base":11}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2703,"base":11},"right_expr":{"type":"numeric_atoms","value":5035,"base":11}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3436,"base":11},"right_expr":{"type":"numeric_atoms","value":1091,"base":11}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4387,"base":11},"right_expr":{"type":"numeric_atoms","value":4481,"base":11}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4541,"base":11},"right_expr":{"type":"numeric_atoms","value":4502,"base":11}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2038,"base":11},"right_expr":{"type":"numeric_atoms","value":3739,"base":11}}}}},"used_operators":["KYD54nUTWz","dWAJyo7jo9","COABgblf1C","JLbD19bQDL","mqXw5SEYmG","NTOWxs364D","Q3PJZHRvZv","g55IO6H4Gj","23Mk6UjR3U","rGHVDoGpnC","8HhzD0ZcuI","sdazOOVcIp","DyGG3AbaNP","tmPS8pqC7x","9HNa5Wba9A"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","fu6greOZ01","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rJVOvQCfKK","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1478","layer":4},{"info":"compute unary expreesion, input=1478, 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=1560","layer":4},{"info":"number node, value=1111","layer":4},{"info":"compute binary expreesion, left_input=1560, right_input=1111, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4319","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4319, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=8643","layer":2},{"info":"number node, value=1281","layer":4},{"info":"compute unary expreesion, input=1281, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=2703","layer":4},{"info":"number node, value=5035","layer":4},{"info":"compute binary expreesion, left_input=2703, right_input=5035, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=15476","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=15476, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=8643, 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=3436","layer":4},{"info":"number node, value=1091","layer":4},{"info":"compute binary expreesion, left_input=3436, right_input=1091, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-35420247","layer":3},{"info":"number node, value=4387","layer":4},{"info":"number node, value=4481","layer":4},{"info":"compute binary expreesion, left_input=4387, right_input=4481, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-86","layer":3},{"info":"compute binary expreesion, left_input=-35420247, right_input=-86, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=4541","layer":4},{"info":"number node, value=4502","layer":4},{"info":"compute binary expreesion, left_input=4541, right_input=4502, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=4541","layer":3},{"info":"number node, value=2038","layer":4},{"info":"number node, value=3739","layer":4},{"info":"compute binary expreesion, left_input=2038, right_input=3739, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=7620082","layer":3},{"info":"compute binary expreesion, left_input=4541, right_input=7620082, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1124⪠⩆⊳)⊭↱⋰*⋻1199⫸⊐⋰*⋻920)⪢((⊥⋰*⋻A65)⩚⊴⇥(⋰*⋻2038⨸⪁⋰*⋻3868))⫥∨⫟((⋰*⋻2644⨽⋰*⋻902)⨟⋌⩍(⋰*⋻3329⪨≂⋰*⋻3404)⋷(⋰*⋻3459⨪↰⇹⋰*⋻3423)∼(⋰*⋻1593*⋰*⋻289A))=NaN","reverse_text":"NaN=((⋰*⋻1124⪠⩆⊳)⊭↱⋰*⋻1199⫸⊐⋰*⋻920)⪢((⊥⋰*⋻A65)⩚⊴⇥(⋰*⋻2038⨸⪁⋰*⋻3868))⫥∨⫟((⋰*⋻2644⨽⋰*⋻902)⨟⋌⩍(⋰*⋻3329⪨≂⋰*⋻3404)⋷(⋰*⋻3459⨪↰⇹⋰*⋻3423)∼(⋰*⋻1593*⋰*⋻289A))","cot":[{"info":"⋰*⋻1124⪠⩆⊳=⋰*⋻0","layer":3},{"info":"⋰*⋻1199⫸⊐⋰*⋻920=⋰*⋻3277","layer":3},{"info":"⋰*⋻0⊭↱⋰*⋻3277=⋰*⋻6548","layer":2},{"info":"⊥⋰*⋻A65=NaN","layer":3},{"info":"⋰*⋻2038⨸⪁⋰*⋻3868=⋰*⋻1069A","layer":3},{"info":"NaN⩚⊴⇥⋰*⋻1069A=NaN","layer":2},{"info":"⋰*⋻6548⪢NaN=NaN","layer":1},{"info":"⋰*⋻2644⨽⋰*⋻902=⋰*⋻-18AA2835","layer":3},{"info":"⋰*⋻3329⪨≂⋰*⋻3404=⋰*⋻-79","layer":3},{"info":"⋰*⋻-18AA2835⨟⋌⩍⋰*⋻-79=NaN","layer":2},{"info":"⋰*⋻3459⨪↰⇹⋰*⋻3423=⋰*⋻3459","layer":3},{"info":"⋰*⋻1593*⋰*⋻289A=⋰*⋻4335098","layer":3},{"info":"⋰*⋻3459∼⋰*⋻4335098=NaN","layer":2},{"info":"NaN⋷NaN=NaN","layer":1},{"info":"NaN⫥∨⫟NaN=NaN","layer":0}]}
{"id":425,"expression_no_base_symbol":"((($2728$∧)+($3171$/$1031$))⨰($1806$⨐⩸⫘$4300$-(≤/$5759$)))⇷(⊄⩳↩($3148$+$1135$)↬($2647$⫩⊇))","expression":"(((⋰*⋻2060∧)+(⋰*⋻2423/⋰*⋻858))⨰(⋰*⋻13A2⨐⩸⫘⋰*⋻325A-(≤/⋰*⋻4366)))⇷(⊄⩳↩(⋰*⋻2402+⋰*⋻942)↬(⋰*⋻1A97⫩⊇))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":33,"operation_count":12,"complexity_ratio":2.75,"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":2728,"base":11}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3171,"base":11},"right_expr":{"type":"numeric_atoms","value":1031,"base":11}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1806,"base":11},"right_expr":{"type":"numeric_atoms","value":4300,"base":11}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":5759,"base":11}}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3148,"base":11},"right_expr":{"type":"numeric_atoms","value":1135,"base":11}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":2647,"base":11}}}}},"used_operators":["mp7IySMOzn","eewbuw0ToL","W4YGzv6Whe","z63VuFQld9","XhwjNDsVaA","rysDP5nf3Z","fu6greOZ01","eLAdDNolq6","8w2t5hMYqp","B5M0gjZbta","BjRHVeLaeN"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","3ViojmjbAp","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2728","layer":4},{"info":"compute unary expreesion, input=2728, 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=3171","layer":4},{"info":"number node, value=1031","layer":4},{"info":"compute binary expreesion, left_input=3171, right_input=1031, op_id = XhwjNDsVaA binary_op_definition= 'None', output=3","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1806","layer":4},{"info":"number node, value=4300","layer":4},{"info":"compute binary expreesion, left_input=1806, right_input=4300, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=5759","layer":4},{"info":"compute unary expreesion, input=5759, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-5275","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5275, 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=3148","layer":4},{"info":"number node, value=1135","layer":4},{"info":"compute binary expreesion, left_input=3148, right_input=1135, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4283","layer":3},{"info":"number node, value=2647","layer":4},{"info":"compute unary expreesion, input=2647, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-2605","layer":3},{"info":"compute binary expreesion, left_input=4283, right_input=-2605, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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":"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":11,"result_base":11,"text":"(((⋰*⋻2060∧)+(⋰*⋻2423/⋰*⋻858))⨰(⋰*⋻13A2⨐⩸⫘⋰*⋻325A-(≤/⋰*⋻4366)))⇷(⊄⩳↩(⋰*⋻2402+⋰*⋻942)↬(⋰*⋻1A97⫩⊇))=NaN","reverse_text":"NaN=(((⋰*⋻2060∧)+(⋰*⋻2423/⋰*⋻858))⨰(⋰*⋻13A2⨐⩸⫘⋰*⋻325A-(≤/⋰*⋻4366)))⇷(⊄⩳↩(⋰*⋻2402+⋰*⋻942)↬(⋰*⋻1A97⫩⊇))","cot":[{"info":"⋰*⋻2060∧=NaN","layer":3},{"info":"⋰*⋻2423/⋰*⋻858=⋰*⋻3","layer":3},{"info":"NaN+⋰*⋻3=NaN","layer":2},{"info":"⋰*⋻13A2⨐⩸⫘⋰*⋻325A=NaN","layer":3},{"info":"≤/⋰*⋻4366=⋰*⋻-3A66","layer":3},{"info":"NaN-⋰*⋻-3A66=NaN","layer":2},{"info":"NaN⨰NaN=NaN","layer":1},{"info":"⋰*⋻2402+⋰*⋻942=⋰*⋻3244","layer":3},{"info":"⋰*⋻1A97⫩⊇=⋰*⋻-1A59","layer":3},{"info":"⋰*⋻3244↬⋰*⋻-1A59=NaN","layer":2},{"info":"⊄⩳↩NaN=NaN","layer":1},{"info":"NaN⇷NaN=NaN","layer":0}]}
{"id":426,"expression_no_base_symbol":"(⪝⪂⫅($1579$/$5061$))%(⪲⇎$3550$)⩷∴($2291$%$1206$)⪨≂($3818$⊴$3059$+⇶⊼($4637$⋥≓≎$3223$))∼(($3196$⩠)↺$1266$⨪↰⇹$3757$)","expression":"(⪝⪂⫅(⋰*⋻1206/⋰*⋻3891))%(⪲⇎⋰*⋻2738)⩷∴(⋰*⋻17A3%⋰*⋻9A7)⪨≂(⋰*⋻2961⊴⋰*⋻2331+⇶⊼(⋰*⋻3536⋥≓≎⋰*⋻2470))∼((⋰*⋻2446⩠)↺⋰*⋻A51⨪↰⇹⋰*⋻2906)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4548,"operation_count":14,"complexity_ratio":324.85714285714283,"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":1579,"base":11},"right_expr":{"type":"numeric_atoms","value":5061,"base":11}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":3550,"base":11}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2291,"base":11},"right_expr":{"type":"numeric_atoms","value":1206,"base":11}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3818,"base":11},"right_expr":{"type":"numeric_atoms","value":3059,"base":11}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4637,"base":11},"right_expr":{"type":"numeric_atoms","value":3223,"base":11}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":3196,"base":11}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1266,"base":11},"right_expr":{"type":"numeric_atoms","value":3757,"base":11}}}}},"used_operators":["sdazOOVcIp","k8jYdgA6NY","XTarYq4gQB","XhwjNDsVaA","9FxExcQeMw","XPYlsWDdGa","DyGG3AbaNP","TpPTUOHfaN","Nsiff2A1zJ","Qy55tPpLXF","7j4O788W3g","sJAwomhLZr","tmPS8pqC7x"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","AHs5Up7iyr","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=1579","layer":4},{"info":"number node, value=5061","layer":4},{"info":"compute binary expreesion, left_input=1579, right_input=5061, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=0","layer":2},{"info":"number node, value=3550","layer":4},{"info":"compute unary expreesion, input=3550, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=7100","layer":3},{"info":"number node, value=2291","layer":4},{"info":"number node, value=1206","layer":4},{"info":"compute binary expreesion, left_input=2291, right_input=1206, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1085","layer":3},{"info":"compute binary expreesion, left_input=7100, right_input=1085, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=11998","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=11998, op_id = k8jYdgA6NY binary_op_definition= 'None', output=0","layer":1},{"info":"number node, value=3818","layer":4},{"info":"number node, value=3059","layer":4},{"info":"compute binary expreesion, left_input=3818, right_input=3059, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=4637","layer":4},{"info":"number node, value=3223","layer":4},{"info":"compute binary expreesion, left_input=4637, right_input=3223, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1842","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1842, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=3196","layer":4},{"info":"compute unary expreesion, input=3196, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=1266","layer":4},{"info":"number node, value=3757","layer":4},{"info":"compute binary expreesion, left_input=1266, right_input=3757, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1266","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1266, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1266","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1266, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⪝⪂⫅(⋰*⋻1206/⋰*⋻3891))%(⪲⇎⋰*⋻2738)⩷∴(⋰*⋻17A3%⋰*⋻9A7)⪨≂(⋰*⋻2961⊴⋰*⋻2331+⇶⊼(⋰*⋻3536⋥≓≎⋰*⋻2470))∼((⋰*⋻2446⩠)↺⋰*⋻A51⨪↰⇹⋰*⋻2906)=NaN","reverse_text":"NaN=(⪝⪂⫅(⋰*⋻1206/⋰*⋻3891))%(⪲⇎⋰*⋻2738)⩷∴(⋰*⋻17A3%⋰*⋻9A7)⪨≂(⋰*⋻2961⊴⋰*⋻2331+⇶⊼(⋰*⋻3536⋥≓≎⋰*⋻2470))∼((⋰*⋻2446⩠)↺⋰*⋻A51⨪↰⇹⋰*⋻2906)","cot":[{"info":"⋰*⋻1206/⋰*⋻3891=⋰*⋻0","layer":3},{"info":"⪝⪂⫅⋰*⋻0=⋰*⋻0","layer":2},{"info":"⪲⇎⋰*⋻2738=⋰*⋻5375","layer":3},{"info":"⋰*⋻17A3%⋰*⋻9A7=⋰*⋻8A7","layer":3},{"info":"⋰*⋻5375⩷∴⋰*⋻8A7=⋰*⋻9018","layer":2},{"info":"⋰*⋻0%⋰*⋻9018=⋰*⋻0","layer":1},{"info":"⋰*⋻2961⊴⋰*⋻2331=NaN","layer":3},{"info":"⋰*⋻3536⋥≓≎⋰*⋻2470=⋰*⋻1425","layer":3},{"info":"NaN+⇶⊼⋰*⋻1425=NaN","layer":2},{"info":"⋰*⋻2446⩠=⋰*⋻0","layer":3},{"info":"⋰*⋻A51⨪↰⇹⋰*⋻2906=⋰*⋻A51","layer":3},{"info":"⋰*⋻0↺⋰*⋻A51=⋰*⋻A51","layer":2},{"info":"NaN∼⋰*⋻A51=NaN","layer":1},{"info":"⋰*⋻0⪨≂NaN=NaN","layer":0}]}
{"id":427,"expression_no_base_symbol":"((⪲⇎$6941$)⩚⊴⇥($2132$⇋≉))⋝⋈⪟($8915$⨐⩸⫘$3943$≋⫹)⊉≛↸(($3461$⨽$1486$)⨟⋌⩍($1263$+$1285$)⨸⪁(($6767$⨳⩥⨓$1132$)⨁⊸⫻))","expression":"((⪲⇎⋰*⋻5240)⩚⊴⇥(⋰*⋻1669⇋≉))⋝⋈⪟(⋰*⋻6775⨐⩸⫘⋰*⋻2A65≋⫹)⊉≛↸((⋰*⋻2667⨽⋰*⋻1131)⨟⋌⩍(⋰*⋻A49+⋰*⋻A69)⨸⪁((⋰*⋻50A2⨳⩥⨓⋰*⋻93A)⨁⊸⫻))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3498,"operation_count":13,"complexity_ratio":269.0769230769231,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":6941,"base":11}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":2132,"base":11}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":8915,"base":11},"right_expr":{"type":"numeric_atoms","value":3943,"base":11}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3461,"base":11},"right_expr":{"type":"numeric_atoms","value":1486,"base":11}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1263,"base":11},"right_expr":{"type":"numeric_atoms","value":1285,"base":11}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":6767,"base":11},"right_expr":{"type":"numeric_atoms","value":1132,"base":11}}}}},"used_operators":["DZ8iAZOCBD","2DDjHMKMc0","NTOWxs364D","XPYlsWDdGa","XIabStNQrY","N41Kp7NANJ","fu6greOZ01","g55IO6H4Gj","rGHVDoGpnC","8HhzD0ZcuI","W4YGzv6Whe","glklzrTFfD","nCS4ZIUYfx"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","W4YGzv6Whe","Tcnh7f0tEr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6941","layer":4},{"info":"compute unary expreesion, input=6941, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=13882","layer":3},{"info":"number node, value=2132","layer":4},{"info":"compute unary expreesion, input=2132, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=4166","layer":3},{"info":"compute binary expreesion, left_input=13882, right_input=4166, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-18169","layer":2},{"info":"number node, value=8915","layer":4},{"info":"number node, value=3943","layer":4},{"info":"compute binary expreesion, left_input=8915, right_input=3943, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-18169, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=3461","layer":4},{"info":"number node, value=1486","layer":4},{"info":"compute binary expreesion, left_input=3461, right_input=1486, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-35938707","layer":3},{"info":"number node, value=1263","layer":4},{"info":"number node, value=1285","layer":4},{"info":"compute binary expreesion, left_input=1263, right_input=1285, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2548","layer":3},{"info":"compute binary expreesion, left_input=-35938707, right_input=2548, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=6767","layer":4},{"info":"number node, value=1132","layer":4},{"info":"compute binary expreesion, left_input=6767, right_input=1132, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-5635","layer":3},{"info":"compute unary expreesion, input=-5635, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=-11270","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-11270, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⪲⇎⋰*⋻5240)⩚⊴⇥(⋰*⋻1669⇋≉))⋝⋈⪟(⋰*⋻6775⨐⩸⫘⋰*⋻2A65≋⫹)⊉≛↸((⋰*⋻2667⨽⋰*⋻1131)⨟⋌⩍(⋰*⋻A49+⋰*⋻A69)⨸⪁((⋰*⋻50A2⨳⩥⨓⋰*⋻93A)⨁⊸⫻))=NaN","reverse_text":"NaN=((⪲⇎⋰*⋻5240)⩚⊴⇥(⋰*⋻1669⇋≉))⋝⋈⪟(⋰*⋻6775⨐⩸⫘⋰*⋻2A65≋⫹)⊉≛↸((⋰*⋻2667⨽⋰*⋻1131)⨟⋌⩍(⋰*⋻A49+⋰*⋻A69)⨸⪁((⋰*⋻50A2⨳⩥⨓⋰*⋻93A)⨁⊸⫻))","cot":[{"info":"⪲⇎⋰*⋻5240=⋰*⋻A480","layer":3},{"info":"⋰*⋻1669⇋≉=⋰*⋻3148","layer":3},{"info":"⋰*⋻A480⩚⊴⇥⋰*⋻3148=⋰*⋻-12718","layer":2},{"info":"⋰*⋻6775⨐⩸⫘⋰*⋻2A65=NaN","layer":3},{"info":"NaN≋⫹=NaN","layer":2},{"info":"⋰*⋻-12718⋝⋈⪟NaN=NaN","layer":1},{"info":"⋰*⋻2667⨽⋰*⋻1131=⋰*⋻-19317312","layer":3},{"info":"⋰*⋻A49+⋰*⋻A69=⋰*⋻1A07","layer":3},{"info":"⋰*⋻-19317312⨟⋌⩍⋰*⋻1A07=NaN","layer":2},{"info":"⋰*⋻50A2⨳⩥⨓⋰*⋻93A=⋰*⋻-4263","layer":3},{"info":"⋰*⋻-4263⨁⊸⫻=⋰*⋻-8516","layer":2},{"info":"NaN⨸⪁⋰*⋻-8516=NaN","layer":1},{"info":"NaN⊉≛↸NaN=NaN","layer":0}]}
{"id":428,"expression_no_base_symbol":"($6450$⫡⨏$1437$)⪮%⊝(⨈⫕$2895$)⩚⊴⇥(($1898$≋⫹)⪨≂$1285$↙$4935$)↛⩡⫤","expression":"(⋰*⋻4934⫡⨏⋰*⋻1097)⪮%⊝(⨈⫕⋰*⋻21A2)⩚⊴⇥((⋰*⋻1476≋⫹)⪨≂⋰*⋻A69↙⋰*⋻3787)↛⩡⫤","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":288579,"operation_count":8,"complexity_ratio":36072.375,"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":6450,"base":11},"right_expr":{"type":"numeric_atoms","value":1437,"base":11}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2895,"base":11}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1898,"base":11}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1285,"base":11},"right_expr":{"type":"numeric_atoms","value":4935,"base":11}}}}},"used_operators":["FU0Cs4j7VP","NTOWxs364D","IWmyXbctLI","QMFrweE19q","megm06wKyl","sdazOOVcIp","N41Kp7NANJ","yyfyN0ffXY"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY"],"result":"⋰*⋻-7685105","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6450","layer":4},{"info":"number node, value=1437","layer":4},{"info":"compute binary expreesion, left_input=6450, right_input=1437, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=35907","layer":3},{"info":"number node, value=2895","layer":4},{"info":"compute unary expreesion, input=2895, 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=35907, right_input=-21, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=72130","layer":2},{"info":"number node, value=1898","layer":4},{"info":"compute unary expreesion, input=1898, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-3796","layer":3},{"info":"number node, value=1285","layer":4},{"info":"number node, value=4935","layer":4},{"info":"compute binary expreesion, left_input=1285, right_input=4935, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-14805","layer":3},{"info":"compute binary expreesion, left_input=-3796, right_input=-14805, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=22120","layer":2},{"info":"compute binary expreesion, left_input=72130, right_input=22120, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-94371","layer":1},{"info":"compute unary expreesion, input=-94371, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-13491142","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻4934⫡⨏⋰*⋻1097)⪮%⊝(⨈⫕⋰*⋻21A2)⩚⊴⇥((⋰*⋻1476≋⫹)⪨≂⋰*⋻A69↙⋰*⋻3787)↛⩡⫤=⋰*⋻-7685105","reverse_text":"⋰*⋻-7685105=(⋰*⋻4934⫡⨏⋰*⋻1097)⪮%⊝(⨈⫕⋰*⋻21A2)⩚⊴⇥((⋰*⋻1476≋⫹)⪨≂⋰*⋻A69↙⋰*⋻3787)↛⩡⫤","cot":[{"info":"⋰*⋻4934⫡⨏⋰*⋻1097=⋰*⋻24A83","layer":3},{"info":"⨈⫕⋰*⋻21A2=⋰*⋻-1A","layer":3},{"info":"⋰*⋻24A83⪮%⊝⋰*⋻-1A=⋰*⋻4A213","layer":2},{"info":"⋰*⋻1476≋⫹=⋰*⋻-2941","layer":3},{"info":"⋰*⋻A69↙⋰*⋻3787=⋰*⋻-1013A","layer":3},{"info":"⋰*⋻-2941⪨≂⋰*⋻-1013A=⋰*⋻1568A","layer":2},{"info":"⋰*⋻4A213⩚⊴⇥⋰*⋻1568A=⋰*⋻-649A2","layer":1},{"info":"⋰*⋻-649A2↛⩡⫤=⋰*⋻-7685105","layer":0}]}
{"id":429,"expression_no_base_symbol":"(($2932$⪢$1676$)⪢(⩦⩻⨪$1430$)⨵⪆(∥⊫$6840$⩚⊴⇥$1090$))↙$3241$∀⇚≩$1694$+⇶⊼$2187$⊴$5792$≭(⩦⩻⨪(≦∁$3043$))","expression":"((⋰*⋻2226⪢⋰*⋻1294)⪢(⩦⩻⨪⋰*⋻1090)⨵⪆(∥⊫⋰*⋻5159⩚⊴⇥⋰*⋻901))↙⋰*⋻2487∀⇚≩⋰*⋻1300+⇶⊼⋰*⋻1709⊴⋰*⋻4396≭(⩦⩻⨪(≦∁⋰*⋻2317))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":32415,"operation_count":13,"complexity_ratio":2493.4615384615386,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2932,"base":11},"right_expr":{"type":"numeric_atoms","value":1676,"base":11}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1430,"base":11}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":6840,"base":11},"right_expr":{"type":"numeric_atoms","value":1090,"base":11}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3241,"base":11},"right_expr":{"type":"numeric_atoms","value":1694,"base":11}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2187,"base":11},"right_expr":{"type":"numeric_atoms","value":5792,"base":11}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":3043,"base":11}}}}},"used_operators":["yyfyN0ffXY","2DQ55sFlQl","dWAJyo7jo9","2td37pGCOC","P8v4zCKN1o","NTOWxs364D","rxpJgHHUmx","TpPTUOHfaN","LRNGc0VcxI","Nsiff2A1zJ","9ICcGScMcE"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","AHs5Up7iyr","X99M06cbEe","dWAJyo7jo9","14qkJME0vr","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2932","layer":4},{"info":"number node, value=1676","layer":4},{"info":"compute binary expreesion, left_input=2932, right_input=1676, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1430","layer":4},{"info":"compute unary expreesion, input=1430, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1430","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1430, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=6840","layer":4},{"info":"number node, value=1090","layer":4},{"info":"compute binary expreesion, left_input=6840, right_input=1090, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8051","layer":3},{"info":"compute unary expreesion, input=-8051, 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 = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=3241","layer":4},{"info":"number node, value=1694","layer":4},{"info":"compute binary expreesion, left_input=3241, right_input=1694, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=2187","layer":4},{"info":"number node, value=5792","layer":4},{"info":"compute binary expreesion, left_input=2187, right_input=5792, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=3043","layer":4},{"info":"compute unary expreesion, input=3043, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3043","layer":3},{"info":"compute unary expreesion, input=3043, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=3043","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3043, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=160, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻2226⪢⋰*⋻1294)⪢(⩦⩻⨪⋰*⋻1090)⨵⪆(∥⊫⋰*⋻5159⩚⊴⇥⋰*⋻901))↙⋰*⋻2487∀⇚≩⋰*⋻1300+⇶⊼⋰*⋻1709⊴⋰*⋻4396≭(⩦⩻⨪(≦∁⋰*⋻2317))=NaN","reverse_text":"NaN=((⋰*⋻2226⪢⋰*⋻1294)⪢(⩦⩻⨪⋰*⋻1090)⨵⪆(∥⊫⋰*⋻5159⩚⊴⇥⋰*⋻901))↙⋰*⋻2487∀⇚≩⋰*⋻1300+⇶⊼⋰*⋻1709⊴⋰*⋻4396≭(⩦⩻⨪(≦∁⋰*⋻2317))","cot":[{"info":"⋰*⋻2226⪢⋰*⋻1294=NaN","layer":3},{"info":"⩦⩻⨪⋰*⋻1090=⋰*⋻1090","layer":3},{"info":"NaN⪢⋰*⋻1090=NaN","layer":2},{"info":"⋰*⋻5159⩚⊴⇥⋰*⋻901=⋰*⋻-605A","layer":3},{"info":"∥⊫⋰*⋻-605A=⋰*⋻-50","layer":2},{"info":"NaN⨵⪆⋰*⋻-50=⋰*⋻136","layer":1},{"info":"⋰*⋻2487∀⇚≩⋰*⋻1300=NaN","layer":3},{"info":"⋰*⋻1709⊴⋰*⋻4396=NaN","layer":3},{"info":"NaN+⇶⊼NaN=NaN","layer":2},{"info":"≦∁⋰*⋻2317=⋰*⋻2317","layer":3},{"info":"⩦⩻⨪⋰*⋻2317=⋰*⋻2317","layer":2},{"info":"NaN≭⋰*⋻2317=NaN","layer":1},{"info":"⋰*⋻136↙NaN=NaN","layer":0}]}
{"id":430,"expression_no_base_symbol":"(≤/(⩦⩻⨪$5681$)⨓(⨰⫟⨤$8292$))⨵⪆(-(⫓⪴($2877$⨎$5672$)))","expression":"(≤/(⩦⩻⨪⋰*⋻42A5)⨓(⨰⫟⨤⋰*⋻6259))⨵⪆(-(⫓⪴(⋰*⋻2186⨎⋰*⋻4297)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":38014,"operation_count":8,"complexity_ratio":4751.75,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":5681,"base":11}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":8292,"base":11}}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2877,"base":11},"right_expr":{"type":"numeric_atoms","value":5672,"base":11}}}}},"used_operators":["2DQ55sFlQl","eLAdDNolq6","3ViojmjbAp","2td37pGCOC","Tw270M8GLb","t8gj7n24qd","eLxqMNBOBk","rJVOvQCfKK"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","9HNa5Wba9A","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⋰*⋻136","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5681","layer":4},{"info":"compute unary expreesion, input=5681, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=5681","layer":3},{"info":"number node, value=8292","layer":4},{"info":"compute unary expreesion, input=8292, 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=5681, 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 = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":1},{"info":"number node, value=2877","layer":4},{"info":"number node, value=5672","layer":4},{"info":"compute binary expreesion, left_input=2877, right_input=5672, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5672","layer":3},{"info":"compute unary expreesion, input=5672, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=32171584","layer":2},{"info":"compute unary expreesion, input=32171584, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-32171584","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-32171584, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":11,"result_base":11,"text":"(≤/(⩦⩻⨪⋰*⋻42A5)⨓(⨰⫟⨤⋰*⋻6259))⨵⪆(-(⫓⪴(⋰*⋻2186⨎⋰*⋻4297)))=⋰*⋻136","reverse_text":"⋰*⋻136=(≤/(⩦⩻⨪⋰*⋻42A5)⨓(⨰⫟⨤⋰*⋻6259))⨵⪆(-(⫓⪴(⋰*⋻2186⨎⋰*⋻4297)))","cot":[{"info":"⩦⩻⨪⋰*⋻42A5=⋰*⋻42A5","layer":3},{"info":"⨰⫟⨤⋰*⋻6259=NaN","layer":3},{"info":"⋰*⋻42A5⨓NaN=NaN","layer":2},{"info":"≤/NaN=NaN","layer":1},{"info":"⋰*⋻2186⨎⋰*⋻4297=⋰*⋻4297","layer":3},{"info":"⫓⪴⋰*⋻4297=⋰*⋻17183A95","layer":2},{"info":"-⋰*⋻17183A95=⋰*⋻-17183A95","layer":1},{"info":"NaN⨵⪆⋰*⋻-17183A95=⋰*⋻136","layer":0}]}
{"id":431,"expression_no_base_symbol":"(($4734$⪢$4931$⫥∨⫟($1504$↙$1021$))⨓($1515$⨵⪆$4941$)∼($7962$⊘))⪮%⊝(($3393$⪛$1562$∲⫓$1665$+⇶⊼$1274$)⩚⊴⇥($1387$-$2195$↪⪝))","expression":"((⋰*⋻3614⪢⋰*⋻3783⫥∨⫟(⋰*⋻1148↙⋰*⋻849))⨓(⋰*⋻1158⨵⪆⋰*⋻3792)∼(⋰*⋻5A89⊘))⪮%⊝((⋰*⋻2605⪛⋰*⋻11A0∲⫓⋰*⋻1284+⇶⊼⋰*⋻A59)⩚⊴⇥(⋰*⋻1051-⋰*⋻1716↪⪝))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6900,"operation_count":14,"complexity_ratio":492.85714285714283,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4734,"base":11},"right_expr":{"type":"numeric_atoms","value":4931,"base":11}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1504,"base":11},"right_expr":{"type":"numeric_atoms","value":1021,"base":11}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1515,"base":11},"right_expr":{"type":"numeric_atoms","value":4941,"base":11}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":7962,"base":11}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3393,"base":11},"right_expr":{"type":"numeric_atoms","value":1562,"base":11}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1665,"base":11},"right_expr":{"type":"numeric_atoms","value":1274,"base":11}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1387,"base":11},"right_expr":{"type":"numeric_atoms","value":2195,"base":11}}}}},"used_operators":["IWmyXbctLI","3ViojmjbAp","KYD54nUTWz","dWAJyo7jo9","yyfyN0ffXY","DyGG3AbaNP","2DQ55sFlQl","gu96TGCTMs","NTOWxs364D","i8ToyICDmI","uFcxV4UQCh","TpPTUOHfaN","l07mrZUIn9","rysDP5nf3Z"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","8HhzD0ZcuI","rGHVDoGpnC","k8jYdgA6NY","tmPS8pqC7x","DpFCA1CohY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","AHs5Up7iyr","9HNa5Wba9A","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4734","layer":4},{"info":"number node, value=4931","layer":4},{"info":"compute binary expreesion, left_input=4734, right_input=4931, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1504","layer":4},{"info":"number node, value=1021","layer":4},{"info":"compute binary expreesion, left_input=1504, right_input=1021, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3063","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3063, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1515","layer":4},{"info":"number node, value=4941","layer":4},{"info":"compute binary expreesion, left_input=1515, right_input=4941, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=7962","layer":4},{"info":"compute unary expreesion, input=7962, 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=160, 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 = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-23","layer":1},{"info":"number node, value=3393","layer":4},{"info":"number node, value=1562","layer":4},{"info":"compute binary expreesion, left_input=3393, right_input=1562, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=269","layer":3},{"info":"number node, value=1665","layer":4},{"info":"number node, value=1274","layer":4},{"info":"compute binary expreesion, left_input=1665, right_input=1274, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=269, 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=1387","layer":4},{"info":"number node, value=2195","layer":4},{"info":"compute binary expreesion, left_input=1387, right_input=2195, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-808","layer":3},{"info":"compute unary expreesion, input=-808, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=-49435056","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-49435056, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-23, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻3614⪢⋰*⋻3783⫥∨⫟(⋰*⋻1148↙⋰*⋻849))⨓(⋰*⋻1158⨵⪆⋰*⋻3792)∼(⋰*⋻5A89⊘))⪮%⊝((⋰*⋻2605⪛⋰*⋻11A0∲⫓⋰*⋻1284+⇶⊼⋰*⋻A59)⩚⊴⇥(⋰*⋻1051-⋰*⋻1716↪⪝))=NaN","reverse_text":"NaN=((⋰*⋻3614⪢⋰*⋻3783⫥∨⫟(⋰*⋻1148↙⋰*⋻849))⨓(⋰*⋻1158⨵⪆⋰*⋻3792)∼(⋰*⋻5A89⊘))⪮%⊝((⋰*⋻2605⪛⋰*⋻11A0∲⫓⋰*⋻1284+⇶⊼⋰*⋻A59)⩚⊴⇥(⋰*⋻1051-⋰*⋻1716↪⪝))","cot":[{"info":"⋰*⋻3614⪢⋰*⋻3783=NaN","layer":3},{"info":"⋰*⋻1148↙⋰*⋻849=⋰*⋻-2335","layer":3},{"info":"NaN⫥∨⫟⋰*⋻-2335=NaN","layer":2},{"info":"⋰*⋻1158⨵⪆⋰*⋻3792=⋰*⋻136","layer":3},{"info":"⋰*⋻5A89⊘=⋰*⋻0","layer":3},{"info":"⋰*⋻136∼⋰*⋻0=⋰*⋻19","layer":2},{"info":"NaN⨓⋰*⋻19=⋰*⋻-21","layer":1},{"info":"⋰*⋻2605⪛⋰*⋻11A0=⋰*⋻225","layer":3},{"info":"⋰*⋻1284+⇶⊼⋰*⋻A59=NaN","layer":3},{"info":"⋰*⋻225∲⫓NaN=NaN","layer":2},{"info":"⋰*⋻1051-⋰*⋻1716=⋰*⋻-675","layer":3},{"info":"⋰*⋻-675↪⪝=⋰*⋻-259A5320","layer":2},{"info":"NaN⩚⊴⇥⋰*⋻-259A5320=NaN","layer":1},{"info":"⋰*⋻-21⪮%⊝NaN=NaN","layer":0}]}
{"id":432,"expression_no_base_symbol":"(∥⊫(⋗⩬⋾($4952$⪒$2557$)))≣⋋","expression":"(∥⊫(⋗⩬⋾(⋰*⋻37A2⪒⋰*⋻1A15)))≣⋋","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":524,"operation_count":4,"complexity_ratio":131.0,"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":4952,"base":11},"right_expr":{"type":"numeric_atoms","value":2557,"base":11}}}}},"used_operators":["Tcnh7f0tEr","P8v4zCKN1o","DpFCA1CohY","f6k1SAg4EE"],"dependent_operators":["dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4952","layer":4},{"info":"number node, value=2557","layer":4},{"info":"compute binary expreesion, left_input=4952, right_input=2557, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7509","layer":3},{"info":"compute unary expreesion, input=-7509, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=22527","layer":2},{"info":"compute unary expreesion, input=22527, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=23395","layer":1},{"info":"compute unary expreesion, input=23395, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":0}],"base":11,"result_base":11,"text":"(∥⊫(⋗⩬⋾(⋰*⋻37A2⪒⋰*⋻1A15)))≣⋋=⋰*⋻0","reverse_text":"⋰*⋻0=(∥⊫(⋗⩬⋾(⋰*⋻37A2⪒⋰*⋻1A15)))≣⋋","cot":[{"info":"⋰*⋻37A2⪒⋰*⋻1A15=⋰*⋻-5707","layer":3},{"info":"⋗⩬⋾⋰*⋻-5707=⋰*⋻15A1A","layer":2},{"info":"∥⊫⋰*⋻15A1A=⋰*⋻16639","layer":1},{"info":"⋰*⋻16639≣⋋=⋰*⋻0","layer":0}]}
{"id":433,"expression_no_base_symbol":"($1016$⫥∨⫟$2046$)⋝⋈⪟$1009$⨓$2822$≭((↯⪼$4439$)⊦⊿)⫸⊐(⫓⪴(($3770$⋥≓≎$2346$)+⇶⊼($4330$⋥≓≎$5407$)))","expression":"(⋰*⋻844⫥∨⫟⋰*⋻15A0)⋝⋈⪟⋰*⋻838⨓⋰*⋻2136≭((↯⪼⋰*⋻3376)⊦⊿)⫸⊐(⫓⪴((⋰*⋻2918⋥≓≎⋰*⋻1843)+⇶⊼(⋰*⋻3287⋥≓≎⋰*⋻4076)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3535,"operation_count":11,"complexity_ratio":321.3636363636364,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1016,"base":11},"right_expr":{"type":"numeric_atoms","value":2046,"base":11}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1009,"base":11},"right_expr":{"type":"numeric_atoms","value":2822,"base":11}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":4439,"base":11}}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3770,"base":11},"right_expr":{"type":"numeric_atoms","value":2346,"base":11}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4330,"base":11},"right_expr":{"type":"numeric_atoms","value":5407,"base":11}}}}},"used_operators":["mqXw5SEYmG","rxpJgHHUmx","2DDjHMKMc0","KYD54nUTWz","3ViojmjbAp","14qkJME0vr","8jW3W4yZS5","eLxqMNBOBk","TpPTUOHfaN","Qy55tPpLXF"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","9HNa5Wba9A","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1016","layer":4},{"info":"number node, value=2046","layer":4},{"info":"compute binary expreesion, left_input=1016, right_input=2046, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1009","layer":4},{"info":"number node, value=2822","layer":4},{"info":"compute binary expreesion, left_input=1009, right_input=2822, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2825","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2825, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=4439","layer":4},{"info":"compute unary expreesion, input=4439, 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 = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-16","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-16, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=3770","layer":4},{"info":"number node, value=2346","layer":4},{"info":"compute binary expreesion, left_input=3770, right_input=2346, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=955","layer":3},{"info":"number node, value=4330","layer":4},{"info":"number node, value=5407","layer":4},{"info":"compute binary expreesion, left_input=4330, right_input=5407, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=6517","layer":3},{"info":"compute binary expreesion, left_input=955, right_input=6517, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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":11,"result_base":11,"text":"(⋰*⋻844⫥∨⫟⋰*⋻15A0)⋝⋈⪟⋰*⋻838⨓⋰*⋻2136≭((↯⪼⋰*⋻3376)⊦⊿)⫸⊐(⫓⪴((⋰*⋻2918⋥≓≎⋰*⋻1843)+⇶⊼(⋰*⋻3287⋥≓≎⋰*⋻4076)))=NaN","reverse_text":"NaN=(⋰*⋻844⫥∨⫟⋰*⋻15A0)⋝⋈⪟⋰*⋻838⨓⋰*⋻2136≭((↯⪼⋰*⋻3376)⊦⊿)⫸⊐(⫓⪴((⋰*⋻2918⋥≓≎⋰*⋻1843)+⇶⊼(⋰*⋻3287⋥≓≎⋰*⋻4076)))","cot":[{"info":"⋰*⋻844⫥∨⫟⋰*⋻15A0=NaN","layer":3},{"info":"⋰*⋻838⨓⋰*⋻2136=⋰*⋻-2139","layer":3},{"info":"NaN⋝⋈⪟⋰*⋻-2139=NaN","layer":2},{"info":"↯⪼⋰*⋻3376=⋰*⋻-1A","layer":3},{"info":"⋰*⋻-1A⊦⊿=⋰*⋻-15","layer":2},{"info":"NaN≭⋰*⋻-15=NaN","layer":1},{"info":"⋰*⋻2918⋥≓≎⋰*⋻1843=⋰*⋻799","layer":3},{"info":"⋰*⋻3287⋥≓≎⋰*⋻4076=⋰*⋻4995","layer":3},{"info":"⋰*⋻799+⇶⊼⋰*⋻4995=NaN","layer":2},{"info":"⫓⪴NaN=NaN","layer":1},{"info":"NaN⫸⊐NaN=NaN","layer":0}]}
{"id":434,"expression_no_base_symbol":"∂(≦∁$2055$⨳⩥⨓$1435$)⪢($2279$∀⇚≩$5564$+($1873$⋫))","expression":"∂(≦∁⋰*⋻15A9⨳⩥⨓⋰*⋻1095)⪢(⋰*⋻1792∀⇚≩⋰*⋻41A9+(⋰*⋻1453⋫))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":17860,"operation_count":7,"complexity_ratio":2551.4285714285716,"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":2055,"base":11},"right_expr":{"type":"numeric_atoms","value":1435,"base":11}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2279,"base":11},"right_expr":{"type":"numeric_atoms","value":5564,"base":11}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1873,"base":11}}}}},"used_operators":["Uaa54Peajs","dWAJyo7jo9","9ICcGScMcE","nCS4ZIUYfx","W4YGzv6Whe","LRNGc0VcxI","JL8yIekQnl"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","k8jYdgA6NY","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","X99M06cbEe","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=2055","layer":4},{"info":"number node, value=1435","layer":4},{"info":"compute binary expreesion, left_input=2055, right_input=1435, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-620","layer":3},{"info":"compute unary expreesion, input=-620, 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=2279","layer":4},{"info":"number node, value=5564","layer":4},{"info":"compute binary expreesion, left_input=2279, right_input=5564, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1873","layer":4},{"info":"compute unary expreesion, input=1873, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1873","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1873, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":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":11,"result_base":11,"text":"∂(≦∁⋰*⋻15A9⨳⩥⨓⋰*⋻1095)⪢(⋰*⋻1792∀⇚≩⋰*⋻41A9+(⋰*⋻1453⋫))=NaN","reverse_text":"NaN=∂(≦∁⋰*⋻15A9⨳⩥⨓⋰*⋻1095)⪢(⋰*⋻1792∀⇚≩⋰*⋻41A9+(⋰*⋻1453⋫))","cot":[{"info":"⋰*⋻15A9⨳⩥⨓⋰*⋻1095=⋰*⋻-514","layer":3},{"info":"≦∁⋰*⋻-514=⋰*⋻61","layer":2},{"info":"⋰*⋻1792∀⇚≩⋰*⋻41A9=NaN","layer":3},{"info":"⋰*⋻1453⋫=⋰*⋻1453","layer":3},{"info":"NaN+⋰*⋻1453=NaN","layer":2},{"info":"⋰*⋻61⪢NaN=NaN","layer":1},{"info":"∂NaN=NaN","layer":0}]}
{"id":435,"expression_no_base_symbol":"(≉((⫓⪴$4179$)*($4548$≋⫹)))⪄(⋗⩬⋾$6427$)≧⫂∧($2712$⨽$8568$)+⇶⊼($2024$≧⫂∧$1363$⫥∨⫟($2806$⋳⪒$3349$))","expression":"(≉((⫓⪴⋰*⋻315A)*(⋰*⋻3465≋⫹)))⪄(⋗⩬⋾⋰*⋻4913)≧⫂∧(⋰*⋻2046⨽⋰*⋻648A)+⇶⊼(⋰*⋻1580≧⫂∧⋰*⋻102A⫥∨⫟(⋰*⋻2121⋳⪒⋰*⋻2575))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":16189,"operation_count":12,"complexity_ratio":1349.0833333333333,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":4179,"base":11}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":4548,"base":11}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":6427,"base":11}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2712,"base":11},"right_expr":{"type":"numeric_atoms","value":8568,"base":11}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2024,"base":11},"right_expr":{"type":"numeric_atoms","value":1363,"base":11}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2806,"base":11},"right_expr":{"type":"numeric_atoms","value":3349,"base":11}}}}},"used_operators":["SUmda5xLS4","e1ybzncUwg","9HNa5Wba9A","eLxqMNBOBk","N41Kp7NANJ","TpPTUOHfaN","Ph9nP6C5qx","DpFCA1CohY","8HhzD0ZcuI","KYD54nUTWz","12rbrZMWeM"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd"],"result":"⋰*⋻2A98","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4179","layer":4},{"info":"compute unary expreesion, input=4179, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=17464041","layer":3},{"info":"number node, value=4548","layer":4},{"info":"compute unary expreesion, input=4548, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-9096","layer":3},{"info":"compute binary expreesion, left_input=17464041, right_input=-9096, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-inf","layer":2},{"info":"compute unary expreesion, input=-inf, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-inf","layer":1},{"info":"number node, value=6427","layer":4},{"info":"compute unary expreesion, input=6427, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-19281","layer":3},{"info":"number node, value=2712","layer":4},{"info":"number node, value=8568","layer":4},{"info":"compute binary expreesion, left_input=2712, right_input=8568, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-22089222","layer":3},{"info":"compute binary expreesion, left_input=-19281, right_input=-22089222, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=22069941","layer":2},{"info":"number node, value=2024","layer":4},{"info":"number node, value=1363","layer":4},{"info":"compute binary expreesion, left_input=2024, right_input=1363, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=890","layer":3},{"info":"number node, value=2806","layer":4},{"info":"number node, value=3349","layer":4},{"info":"compute binary expreesion, left_input=2806, right_input=3349, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1976","layer":3},{"info":"compute binary expreesion, left_input=890, right_input=1976, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=22069941, 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=-inf, 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":11,"result_base":11,"text":"(≉((⫓⪴⋰*⋻315A)*(⋰*⋻3465≋⫹)))⪄(⋗⩬⋾⋰*⋻4913)≧⫂∧(⋰*⋻2046⨽⋰*⋻648A)+⇶⊼(⋰*⋻1580≧⫂∧⋰*⋻102A⫥∨⫟(⋰*⋻2121⋳⪒⋰*⋻2575))=⋰*⋻2A98","reverse_text":"⋰*⋻2A98=(≉((⫓⪴⋰*⋻315A)*(⋰*⋻3465≋⫹)))⪄(⋗⩬⋾⋰*⋻4913)≧⫂∧(⋰*⋻2046⨽⋰*⋻648A)+⇶⊼(⋰*⋻1580≧⫂∧⋰*⋻102A⫥∨⫟(⋰*⋻2121⋳⪒⋰*⋻2575))","cot":[{"info":"⫓⪴⋰*⋻315A=⋰*⋻9948AA1","layer":3},{"info":"⋰*⋻3465≋⫹=⋰*⋻-691A","layer":3},{"info":"⋰*⋻9948AA1*⋰*⋻-691A=-Inf","layer":2},{"info":"≉-Inf=-Inf","layer":1},{"info":"⋗⩬⋾⋰*⋻4913=⋰*⋻-13539","layer":3},{"info":"⋰*⋻2046⨽⋰*⋻648A=⋰*⋻-11517A61","layer":3},{"info":"⋰*⋻-13539≧⫂∧⋰*⋻-11517A61=⋰*⋻11504523","layer":2},{"info":"⋰*⋻1580≧⫂∧⋰*⋻102A=⋰*⋻73A","layer":3},{"info":"⋰*⋻2121⋳⪒⋰*⋻2575=⋰*⋻1537","layer":3},{"info":"⋰*⋻73A⫥∨⫟⋰*⋻1537=NaN","layer":2},{"info":"⋰*⋻11504523+⇶⊼NaN=NaN","layer":1},{"info":"-Inf⪄NaN=⋰*⋻2A98","layer":0}]}
{"id":436,"expression_no_base_symbol":"⨈⫕($4522$⨰$2801$⊦⊿)⨳⩥⨓((≦∁$4701$)⪠⩆⊳)","expression":"⨈⫕(⋰*⋻3441⨰⋰*⋻2117⊦⊿)⨳⩥⨓((≦∁⋰*⋻3594)⪠⩆⊳)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":408,"operation_count":6,"complexity_ratio":68.0,"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":4522,"base":11},"right_expr":{"type":"numeric_atoms","value":2801,"base":11}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":4701,"base":11}}}}},"used_operators":["megm06wKyl","nCS4ZIUYfx","14qkJME0vr","eewbuw0ToL","JLbD19bQDL","9ICcGScMcE"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"⋰*⋻-1A","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4522","layer":4},{"info":"number node, value=2801","layer":4},{"info":"compute binary expreesion, left_input=4522, right_input=2801, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1731","layer":3},{"info":"compute unary expreesion, input=1731, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-5272","layer":2},{"info":"number node, value=4701","layer":4},{"info":"compute unary expreesion, input=4701, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=4701","layer":3},{"info":"compute unary expreesion, input=4701, 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=-5272, right_input=0, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=5272","layer":1},{"info":"compute unary expreesion, input=5272, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":0}],"base":11,"result_base":11,"text":"⨈⫕(⋰*⋻3441⨰⋰*⋻2117⊦⊿)⨳⩥⨓((≦∁⋰*⋻3594)⪠⩆⊳)=⋰*⋻-1A","reverse_text":"⋰*⋻-1A=⨈⫕(⋰*⋻3441⨰⋰*⋻2117⊦⊿)⨳⩥⨓((≦∁⋰*⋻3594)⪠⩆⊳)","cot":[{"info":"⋰*⋻3441⨰⋰*⋻2117=⋰*⋻1334","layer":3},{"info":"⋰*⋻1334⊦⊿=⋰*⋻-3A63","layer":2},{"info":"≦∁⋰*⋻3594=⋰*⋻3594","layer":3},{"info":"⋰*⋻3594⪠⩆⊳=⋰*⋻0","layer":2},{"info":"⋰*⋻-3A63⨳⩥⨓⋰*⋻0=⋰*⋻3A63","layer":1},{"info":"⨈⫕⋰*⋻3A63=⋰*⋻-1A","layer":0}]}
{"id":437,"expression_no_base_symbol":"($3496$↬$8188$⨰($1860$⫡⨏$3626$)≫≃)⨓($3749$+⇶⊼$1178$∲⫓(⊙↵-$8175$)↪⪝)","expression":"(⋰*⋻2699↬⋰*⋻6174⨰(⋰*⋻1441⫡⨏⋰*⋻27A7)≫≃)⨓(⋰*⋻28A9+⇶⊼⋰*⋻981∲⫓(⊙↵-⋰*⋻6162)↪⪝)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":8256,"operation_count":9,"complexity_ratio":917.3333333333334,"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":3496,"base":11},"right_expr":{"type":"numeric_atoms","value":8188,"base":11}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1860,"base":11},"right_expr":{"type":"numeric_atoms","value":3626,"base":11}}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3749,"base":11},"right_expr":{"type":"numeric_atoms","value":1178,"base":11}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":8175,"base":11}}}}},"used_operators":["3ViojmjbAp","X99M06cbEe","eewbuw0ToL","B5M0gjZbta","QMFrweE19q","l07mrZUIn9","i8ToyICDmI","TpPTUOHfaN","oWn0xqSxBt"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3496","layer":4},{"info":"number node, value=8188","layer":4},{"info":"compute binary expreesion, left_input=3496, right_input=8188, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1860","layer":4},{"info":"number node, value=3626","layer":4},{"info":"compute binary expreesion, left_input=1860, right_input=3626, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=17335","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=17335, 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 = 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=3749","layer":4},{"info":"number node, value=1178","layer":4},{"info":"compute binary expreesion, left_input=3749, right_input=1178, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=8175","layer":4},{"info":"compute unary expreesion, input=8175, 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 = 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 = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻2699↬⋰*⋻6174⨰(⋰*⋻1441⫡⨏⋰*⋻27A7)≫≃)⨓(⋰*⋻28A9+⇶⊼⋰*⋻981∲⫓(⊙↵-⋰*⋻6162)↪⪝)=NaN","reverse_text":"NaN=(⋰*⋻2699↬⋰*⋻6174⨰(⋰*⋻1441⫡⨏⋰*⋻27A7)≫≃)⨓(⋰*⋻28A9+⇶⊼⋰*⋻981∲⫓(⊙↵-⋰*⋻6162)↪⪝)","cot":[{"info":"⋰*⋻2699↬⋰*⋻6174=NaN","layer":3},{"info":"⋰*⋻1441⫡⨏⋰*⋻27A7=⋰*⋻1202A","layer":3},{"info":"NaN⨰⋰*⋻1202A=NaN","layer":2},{"info":"NaN≫≃=NaN","layer":1},{"info":"⋰*⋻28A9+⇶⊼⋰*⋻981=NaN","layer":3},{"info":"⊙↵-⋰*⋻6162=⋰*⋻-1","layer":3},{"info":"NaN∲⫓⋰*⋻-1=NaN","layer":2},{"info":"NaN↪⪝=NaN","layer":1},{"info":"NaN⨓NaN=NaN","layer":0}]}
{"id":438,"expression_no_base_symbol":"(⊙↵-(⊄⩳↩($1683$+⇶⊼$3043$)))∲⫓(($4167$⋥≓≎$1858$)⨓($6070$≭$4668$)≫≃)","expression":"(⊙↵-(⊄⩳↩(⋰*⋻12A0+⇶⊼⋰*⋻2317)))∲⫓((⋰*⋻3149⋥≓≎⋰*⋻143A)⨓(⋰*⋻4619≭⋰*⋻3564)≫≃)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":52,"operation_count":8,"complexity_ratio":6.5,"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":1683,"base":11},"right_expr":{"type":"numeric_atoms","value":3043,"base":11}}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4167,"base":11},"right_expr":{"type":"numeric_atoms","value":1858,"base":11}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":6070,"base":11},"right_expr":{"type":"numeric_atoms","value":4668,"base":11}}}}},"used_operators":["i8ToyICDmI","oWn0xqSxBt","8w2t5hMYqp","TpPTUOHfaN","X99M06cbEe","3ViojmjbAp","Qy55tPpLXF","rxpJgHHUmx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=1683","layer":4},{"info":"number node, value=3043","layer":4},{"info":"compute binary expreesion, left_input=1683, right_input=3043, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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 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=4167","layer":4},{"info":"number node, value=1858","layer":4},{"info":"compute binary expreesion, left_input=4167, right_input=1858, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-418","layer":3},{"info":"number node, value=6070","layer":4},{"info":"number node, value=4668","layer":4},{"info":"compute binary expreesion, left_input=6070, right_input=4668, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=-418, 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 = 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 = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⊙↵-(⊄⩳↩(⋰*⋻12A0+⇶⊼⋰*⋻2317)))∲⫓((⋰*⋻3149⋥≓≎⋰*⋻143A)⨓(⋰*⋻4619≭⋰*⋻3564)≫≃)=NaN","reverse_text":"NaN=(⊙↵-(⊄⩳↩(⋰*⋻12A0+⇶⊼⋰*⋻2317)))∲⫓((⋰*⋻3149⋥≓≎⋰*⋻143A)⨓(⋰*⋻4619≭⋰*⋻3564)≫≃)","cot":[{"info":"⋰*⋻12A0+⇶⊼⋰*⋻2317=NaN","layer":3},{"info":"⊄⩳↩NaN=NaN","layer":2},{"info":"⊙↵-NaN=NaN","layer":1},{"info":"⋰*⋻3149⋥≓≎⋰*⋻143A=⋰*⋻-350","layer":3},{"info":"⋰*⋻4619≭⋰*⋻3564=NaN","layer":3},{"info":"⋰*⋻-350⨓NaN=NaN","layer":2},{"info":"NaN≫≃=NaN","layer":1},{"info":"NaN∲⫓NaN=NaN","layer":0}]}
{"id":439,"expression_no_base_symbol":"(↥($1010$⫌⩹⨱)⇷(⇁⨣⪵$1201$))⨪↰⇹(($1839$∑⇟⊟$5161$)↬($3837$⪄$7585$)⪄($3992$*$2924$)⨰($2259$⫡⨏$6775$))","expression":"(↥(⋰*⋻839⫌⩹⨱)⇷(⇁⨣⪵⋰*⋻9A2))⨪↰⇹((⋰*⋻1422∑⇟⊟⋰*⋻3972)↬(⋰*⋻2979⪄⋰*⋻5776)⪄(⋰*⋻2AAA*⋰*⋻2219)⨰(⋰*⋻1774⫡⨏⋰*⋻50AA))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":50966,"operation_count":12,"complexity_ratio":4247.166666666667,"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":1010,"base":11}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1201,"base":11}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1839,"base":11},"right_expr":{"type":"numeric_atoms","value":5161,"base":11}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3837,"base":11},"right_expr":{"type":"numeric_atoms","value":7585,"base":11}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3992,"base":11},"right_expr":{"type":"numeric_atoms","value":2924,"base":11}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2259,"base":11},"right_expr":{"type":"numeric_atoms","value":6775,"base":11}}}}},"used_operators":["tmPS8pqC7x","A8NUZmVepG","mp7IySMOzn","EBcxylXtPf","inkyxCbjAn","SUmda5xLS4","B5M0gjZbta","U7g4x0WXJJ","eewbuw0ToL","9HNa5Wba9A","QMFrweE19q"],"dependent_operators":["rJVOvQCfKK","k8jYdgA6NY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","B5M0gjZbta","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rGHVDoGpnC","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1010","layer":4},{"info":"compute unary expreesion, input=1010, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=3421","layer":3},{"info":"number node, value=1201","layer":4},{"info":"compute unary expreesion, input=1201, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3421, 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=1839","layer":4},{"info":"number node, value=5161","layer":4},{"info":"compute binary expreesion, left_input=1839, right_input=5161, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=3837","layer":4},{"info":"number node, value=7585","layer":4},{"info":"compute binary expreesion, left_input=3837, right_input=7585, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-594305","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-594305, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=3992","layer":4},{"info":"number node, value=2924","layer":4},{"info":"compute binary expreesion, left_input=3992, right_input=2924, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=11672608","layer":3},{"info":"number node, value=2259","layer":4},{"info":"number node, value=6775","layer":4},{"info":"compute binary expreesion, left_input=2259, right_input=6775, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=25628","layer":3},{"info":"compute binary expreesion, left_input=11672608, right_input=25628, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=11646990","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=11646990, 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 = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"(↥(⋰*⋻839⫌⩹⨱)⇷(⇁⨣⪵⋰*⋻9A2))⨪↰⇹((⋰*⋻1422∑⇟⊟⋰*⋻3972)↬(⋰*⋻2979⪄⋰*⋻5776)⪄(⋰*⋻2AAA*⋰*⋻2219)⨰(⋰*⋻1774⫡⨏⋰*⋻50AA))=NaN","reverse_text":"NaN=(↥(⋰*⋻839⫌⩹⨱)⇷(⇁⨣⪵⋰*⋻9A2))⨪↰⇹((⋰*⋻1422∑⇟⊟⋰*⋻3972)↬(⋰*⋻2979⪄⋰*⋻5776)⪄(⋰*⋻2AAA*⋰*⋻2219)⨰(⋰*⋻1774⫡⨏⋰*⋻50AA))","cot":[{"info":"⋰*⋻839⫌⩹⨱=⋰*⋻2630","layer":3},{"info":"⇁⨣⪵⋰*⋻9A2=NaN","layer":3},{"info":"⋰*⋻2630⇷NaN=NaN","layer":2},{"info":"↥NaN=NaN","layer":1},{"info":"⋰*⋻1422∑⇟⊟⋰*⋻3972=NaN","layer":3},{"info":"⋰*⋻2979⪄⋰*⋻5776=⋰*⋻-376568","layer":3},{"info":"NaN↬⋰*⋻-376568=NaN","layer":2},{"info":"⋰*⋻2AAA*⋰*⋻2219=⋰*⋻6652892","layer":3},{"info":"⋰*⋻1774⫡⨏⋰*⋻50AA=⋰*⋻18289","layer":3},{"info":"⋰*⋻6652892⨰⋰*⋻18289=⋰*⋻6635613","layer":2},{"info":"NaN⪄⋰*⋻6635613=⋰*⋻2A98","layer":1},{"info":"NaN⨪↰⇹⋰*⋻2A98=NaN","layer":0}]}
{"id":440,"expression_no_base_symbol":"$1142$≎⊠⪸$1403$⨐⩸⫘$3316$⩚⊴⇥$2336$⋷($1058$+$1553$)⨳⩥⨓($5525$⊠≄⫣)/$1764$⇷$4467$∑⇟⊟($1258$↺$3882$)⋳⪒($1343$⋷$1113$)⪮%⊝($2744$%$5324$)","expression":"⋰*⋻949≎⊠⪸⋰*⋻1066⨐⩸⫘⋰*⋻2545⩚⊴⇥⋰*⋻1834⋷(⋰*⋻882+⋰*⋻1192)⨳⩥⨓(⋰*⋻4173⊠≄⫣)/⋰*⋻1364⇷⋰*⋻33A1∑⇟⊟(⋰*⋻A44↺⋰*⋻2A0A)⋳⪒(⋰*⋻1011⋷⋰*⋻922)⪮%⊝(⋰*⋻2075%⋰*⋻4000)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":25009,"operation_count":15,"complexity_ratio":1667.2666666666667,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1142,"base":11},"right_expr":{"type":"numeric_atoms","value":1403,"base":11}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3316,"base":11},"right_expr":{"type":"numeric_atoms","value":2336,"base":11}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1058,"base":11},"right_expr":{"type":"numeric_atoms","value":1553,"base":11}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":5525,"base":11}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1764,"base":11},"right_expr":{"type":"numeric_atoms","value":4467,"base":11}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1258,"base":11},"right_expr":{"type":"numeric_atoms","value":3882,"base":11}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1343,"base":11},"right_expr":{"type":"numeric_atoms","value":1113,"base":11}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2744,"base":11},"right_expr":{"type":"numeric_atoms","value":5324,"base":11}}}}},"used_operators":["XhwjNDsVaA","23Mk6UjR3U","fu6greOZ01","bJkvcejdHO","NTOWxs364D","nCS4ZIUYfx","W4YGzv6Whe","DIvbN7qnHd","12rbrZMWeM","U7g4x0WXJJ","mp7IySMOzn","7j4O788W3g","IWmyXbctLI","k8jYdgA6NY"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1142","layer":4},{"info":"number node, value=1403","layer":4},{"info":"compute binary expreesion, left_input=1142, right_input=1403, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=295305","layer":3},{"info":"number node, value=3316","layer":4},{"info":"number node, value=2336","layer":4},{"info":"compute binary expreesion, left_input=3316, right_input=2336, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5773","layer":3},{"info":"compute binary expreesion, left_input=295305, right_input=-5773, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=1058","layer":4},{"info":"number node, value=1553","layer":4},{"info":"compute binary expreesion, left_input=1058, right_input=1553, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2611","layer":3},{"info":"number node, value=5525","layer":4},{"info":"compute unary expreesion, input=5525, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2611, right_input=0, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2611","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2611, 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=1764","layer":4},{"info":"number node, value=4467","layer":4},{"info":"compute binary expreesion, left_input=1764, right_input=4467, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=8934","layer":3},{"info":"number node, value=1258","layer":4},{"info":"number node, value=3882","layer":4},{"info":"compute binary expreesion, left_input=1258, right_input=3882, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3882","layer":3},{"info":"compute binary expreesion, left_input=8934, right_input=3882, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=1343","layer":4},{"info":"number node, value=1113","layer":4},{"info":"compute binary expreesion, left_input=1343, right_input=1113, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=883","layer":3},{"info":"number node, value=2744","layer":4},{"info":"number node, value=5324","layer":4},{"info":"compute binary expreesion, left_input=2744, right_input=5324, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2744","layer":3},{"info":"compute binary expreesion, left_input=883, right_input=2744, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2082","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2082, 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 = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"⋰*⋻949≎⊠⪸⋰*⋻1066⨐⩸⫘⋰*⋻2545⩚⊴⇥⋰*⋻1834⋷(⋰*⋻882+⋰*⋻1192)⨳⩥⨓(⋰*⋻4173⊠≄⫣)/⋰*⋻1364⇷⋰*⋻33A1∑⇟⊟(⋰*⋻A44↺⋰*⋻2A0A)⋳⪒(⋰*⋻1011⋷⋰*⋻922)⪮%⊝(⋰*⋻2075%⋰*⋻4000)=NaN","reverse_text":"NaN=⋰*⋻949≎⊠⪸⋰*⋻1066⨐⩸⫘⋰*⋻2545⩚⊴⇥⋰*⋻1834⋷(⋰*⋻882+⋰*⋻1192)⨳⩥⨓(⋰*⋻4173⊠≄⫣)/⋰*⋻1364⇷⋰*⋻33A1∑⇟⊟(⋰*⋻A44↺⋰*⋻2A0A)⋳⪒(⋰*⋻1011⋷⋰*⋻922)⪮%⊝(⋰*⋻2075%⋰*⋻4000)","cot":[{"info":"⋰*⋻949≎⊠⪸⋰*⋻1066=⋰*⋻19195A","layer":3},{"info":"⋰*⋻2545⩚⊴⇥⋰*⋻1834=⋰*⋻-4379","layer":3},{"info":"⋰*⋻19195A⨐⩸⫘⋰*⋻-4379=NaN","layer":2},{"info":"⋰*⋻882+⋰*⋻1192=⋰*⋻1A64","layer":3},{"info":"⋰*⋻4173⊠≄⫣=⋰*⋻0","layer":3},{"info":"⋰*⋻1A64⨳⩥⨓⋰*⋻0=⋰*⋻-1A64","layer":2},{"info":"NaN⋷⋰*⋻-1A64=NaN","layer":1},{"info":"⋰*⋻1364⇷⋰*⋻33A1=⋰*⋻6792","layer":3},{"info":"⋰*⋻A44↺⋰*⋻2A0A=⋰*⋻2A0A","layer":3},{"info":"⋰*⋻6792∑⇟⊟⋰*⋻2A0A=NaN","layer":2},{"info":"⋰*⋻1011⋷⋰*⋻922=⋰*⋻733","layer":3},{"info":"⋰*⋻2075%⋰*⋻4000=⋰*⋻2075","layer":3},{"info":"⋰*⋻733⪮%⊝⋰*⋻2075=⋰*⋻1623","layer":2},{"info":"NaN⋳⪒⋰*⋻1623=NaN","layer":1},{"info":"NaN/NaN=NaN","layer":0}]}
{"id":441,"expression_no_base_symbol":"(↯⪼(($5905$/$3404$)⪒($3732$/$3872$)))⫥∨⫟(($7419$⩠)⇷($5049$≭$1229$)⨎(($2752$⋥≓≎$2509$)⪠⩆⊳))","expression":"(↯⪼((⋰*⋻4489/⋰*⋻2615)⪒(⋰*⋻2893/⋰*⋻2A00)))⫥∨⫟((⋰*⋻5635⩠)⇷(⋰*⋻3880≭⋰*⋻A18)⨎((⋰*⋻2082⋥≓≎⋰*⋻1981)⪠⩆⊳))","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":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":5905,"base":11},"right_expr":{"type":"numeric_atoms","value":3404,"base":11}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3732,"base":11},"right_expr":{"type":"numeric_atoms","value":3872,"base":11}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":7419,"base":11}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":5049,"base":11},"right_expr":{"type":"numeric_atoms","value":1229,"base":11}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2752,"base":11},"right_expr":{"type":"numeric_atoms","value":2509,"base":11}}}}},"used_operators":["KYD54nUTWz","8jW3W4yZS5","f6k1SAg4EE","XhwjNDsVaA","rJVOvQCfKK","mp7IySMOzn","sJAwomhLZr","rxpJgHHUmx","JLbD19bQDL","Qy55tPpLXF"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5905","layer":4},{"info":"number node, value=3404","layer":4},{"info":"compute binary expreesion, left_input=5905, right_input=3404, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"number node, value=3732","layer":4},{"info":"number node, value=3872","layer":4},{"info":"compute binary expreesion, left_input=3732, right_input=3872, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=1, right_input=0, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', 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":"number node, value=7419","layer":4},{"info":"compute unary expreesion, input=7419, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=5049","layer":4},{"info":"number node, value=1229","layer":4},{"info":"compute binary expreesion, left_input=5049, right_input=1229, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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 = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"number node, value=2752","layer":4},{"info":"number node, value=2509","layer":4},{"info":"compute binary expreesion, left_input=2752, right_input=2509, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2299","layer":3},{"info":"compute unary expreesion, input=2299, 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 = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=0, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(↯⪼((⋰*⋻4489/⋰*⋻2615)⪒(⋰*⋻2893/⋰*⋻2A00)))⫥∨⫟((⋰*⋻5635⩠)⇷(⋰*⋻3880≭⋰*⋻A18)⨎((⋰*⋻2082⋥≓≎⋰*⋻1981)⪠⩆⊳))=NaN","reverse_text":"NaN=(↯⪼((⋰*⋻4489/⋰*⋻2615)⪒(⋰*⋻2893/⋰*⋻2A00)))⫥∨⫟((⋰*⋻5635⩠)⇷(⋰*⋻3880≭⋰*⋻A18)⨎((⋰*⋻2082⋥≓≎⋰*⋻1981)⪠⩆⊳))","cot":[{"info":"⋰*⋻4489/⋰*⋻2615=⋰*⋻1","layer":3},{"info":"⋰*⋻2893/⋰*⋻2A00=⋰*⋻0","layer":3},{"info":"⋰*⋻1⪒⋰*⋻0=⋰*⋻-1","layer":2},{"info":"↯⪼⋰*⋻-1=⋰*⋻-1A","layer":1},{"info":"⋰*⋻5635⩠=⋰*⋻0","layer":3},{"info":"⋰*⋻3880≭⋰*⋻A18=NaN","layer":3},{"info":"⋰*⋻0⇷NaN=NaN","layer":2},{"info":"⋰*⋻2082⋥≓≎⋰*⋻1981=⋰*⋻1800","layer":3},{"info":"⋰*⋻1800⪠⩆⊳=⋰*⋻0","layer":2},{"info":"NaN⨎⋰*⋻0=⋰*⋻0","layer":1},{"info":"⋰*⋻-1A⫥∨⫟⋰*⋻0=NaN","layer":0}]}
{"id":442,"expression_no_base_symbol":"((↣≠⋷$6521$)⪢($2404$⨵⪆$5685$)⨳⩥⨓(⊙↵-($2038$⨳⩥⨓$2254$)))↬(($6416$∲⫓$1720$)⪛($1926$⋥≓≎$2143$)⩨($3370$⋥≓≎$2910$)⨓($2877$⇼⇔∾$1463$))","expression":"((↣≠⋷⋰*⋻4999)⪢(⋰*⋻1896⨵⪆⋰*⋻42A9)⨳⩥⨓(⊙↵-(⋰*⋻1593⨳⩥⨓⋰*⋻176A)))↬((⋰*⋻4903∲⫓⋰*⋻1324)⪛(⋰*⋻14A1⋥≓≎⋰*⋻1679)⩨(⋰*⋻2594⋥≓≎⋰*⋻2206)⨓(⋰*⋻2186⇼⇔∾⋰*⋻1110))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1853,"operation_count":14,"complexity_ratio":132.35714285714286,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":6521,"base":11}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2404,"base":11},"right_expr":{"type":"numeric_atoms","value":5685,"base":11}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2038,"base":11},"right_expr":{"type":"numeric_atoms","value":2254,"base":11}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":6416,"base":11},"right_expr":{"type":"numeric_atoms","value":1720,"base":11}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1926,"base":11},"right_expr":{"type":"numeric_atoms","value":2143,"base":11}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3370,"base":11},"right_expr":{"type":"numeric_atoms","value":2910,"base":11}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2877,"base":11},"right_expr":{"type":"numeric_atoms","value":1463,"base":11}}}}},"used_operators":["B5M0gjZbta","nCS4ZIUYfx","dWAJyo7jo9","Asc51vEJeQ","2DQ55sFlQl","oWn0xqSxBt","2DlMacCsIx","uFcxV4UQCh","i8ToyICDmI","Qy55tPpLXF","3ViojmjbAp","tifHPKVTfV"],"dependent_operators":["rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","k8jYdgA6NY","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6521","layer":4},{"info":"compute unary expreesion, input=6521, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=2404","layer":4},{"info":"number node, value=5685","layer":4},{"info":"compute binary expreesion, left_input=2404, right_input=5685, 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 = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=2038","layer":4},{"info":"number node, value=2254","layer":4},{"info":"compute binary expreesion, left_input=2038, right_input=2254, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=216","layer":3},{"info":"compute unary expreesion, input=216, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"number node, value=6416","layer":4},{"info":"number node, value=1720","layer":4},{"info":"compute binary expreesion, left_input=6416, right_input=1720, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1926","layer":4},{"info":"number node, value=2143","layer":4},{"info":"compute binary expreesion, left_input=1926, right_input=2143, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2393","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2393, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=0","layer":2},{"info":"number node, value=3370","layer":4},{"info":"number node, value=2910","layer":4},{"info":"compute binary expreesion, left_input=3370, right_input=2910, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2483","layer":3},{"info":"number node, value=2877","layer":4},{"info":"number node, value=1463","layer":4},{"info":"compute binary expreesion, left_input=2877, right_input=1463, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1414","layer":3},{"info":"compute binary expreesion, left_input=2483, right_input=-1414, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=1411","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=1411, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"((↣≠⋷⋰*⋻4999)⪢(⋰*⋻1896⨵⪆⋰*⋻42A9)⨳⩥⨓(⊙↵-(⋰*⋻1593⨳⩥⨓⋰*⋻176A)))↬((⋰*⋻4903∲⫓⋰*⋻1324)⪛(⋰*⋻14A1⋥≓≎⋰*⋻1679)⩨(⋰*⋻2594⋥≓≎⋰*⋻2206)⨓(⋰*⋻2186⇼⇔∾⋰*⋻1110))=NaN","reverse_text":"NaN=((↣≠⋷⋰*⋻4999)⪢(⋰*⋻1896⨵⪆⋰*⋻42A9)⨳⩥⨓(⊙↵-(⋰*⋻1593⨳⩥⨓⋰*⋻176A)))↬((⋰*⋻4903∲⫓⋰*⋻1324)⪛(⋰*⋻14A1⋥≓≎⋰*⋻1679)⩨(⋰*⋻2594⋥≓≎⋰*⋻2206)⨓(⋰*⋻2186⇼⇔∾⋰*⋻1110))","cot":[{"info":"↣≠⋷⋰*⋻4999=NaN","layer":3},{"info":"⋰*⋻1896⨵⪆⋰*⋻42A9=⋰*⋻136","layer":3},{"info":"NaN⪢⋰*⋻136=NaN","layer":2},{"info":"⋰*⋻1593⨳⩥⨓⋰*⋻176A=⋰*⋻187","layer":3},{"info":"⊙↵-⋰*⋻187=⋰*⋻0","layer":2},{"info":"NaN⨳⩥⨓⋰*⋻0=NaN","layer":1},{"info":"⋰*⋻4903∲⫓⋰*⋻1324=⋰*⋻0","layer":3},{"info":"⋰*⋻14A1⋥≓≎⋰*⋻1679=⋰*⋻1886","layer":3},{"info":"⋰*⋻0⪛⋰*⋻1886=⋰*⋻0","layer":2},{"info":"⋰*⋻2594⋥≓≎⋰*⋻2206=⋰*⋻1958","layer":3},{"info":"⋰*⋻2186⇼⇔∾⋰*⋻1110=⋰*⋻-1076","layer":3},{"info":"⋰*⋻1958⨓⋰*⋻-1076=⋰*⋻1073","layer":2},{"info":"⋰*⋻0⩨⋰*⋻1073=NaN","layer":1},{"info":"NaN↬NaN=NaN","layer":0}]}
{"id":443,"expression_no_base_symbol":"((⨵≀≌$2686$)⊘)↙(⊙↵-(↯⪼$1014$))⪄(≦∁$1662$⨐⩸⫘$4248$↺$1302$⇷$1037$)","expression":"((⨵≀≌⋰*⋻2022)⊘)↙(⊙↵-(↯⪼⋰*⋻842))⪄(≦∁⋰*⋻1281⨐⩸⫘⋰*⋻3212↺⋰*⋻A84⇷⋰*⋻863)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":18365,"operation_count":10,"complexity_ratio":1836.5,"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":2686,"base":11}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1014,"base":11}}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1662,"base":11},"right_expr":{"type":"numeric_atoms","value":4248,"base":11}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1302,"base":11},"right_expr":{"type":"numeric_atoms","value":1037,"base":11}}}}},"used_operators":["SUmda5xLS4","yyfyN0ffXY","gu96TGCTMs","srAu1WTS94","oWn0xqSxBt","8jW3W4yZS5","9ICcGScMcE","7j4O788W3g","fu6greOZ01","mp7IySMOzn"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","tmPS8pqC7x","DpFCA1CohY","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⋰*⋻-3202","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2686","layer":4},{"info":"compute unary expreesion, input=2686, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-8058","layer":3},{"info":"compute unary expreesion, input=-8058, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=-1","layer":2},{"info":"number node, value=1014","layer":4},{"info":"compute unary expreesion, input=1014, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"compute unary expreesion, input=-21, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=0, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-1","layer":1},{"info":"number node, value=1662","layer":4},{"info":"number node, value=4248","layer":4},{"info":"compute binary expreesion, left_input=1662, right_input=4248, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=1302","layer":4},{"info":"number node, value=1037","layer":4},{"info":"compute binary expreesion, left_input=1302, right_input=1037, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2074","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2074, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2074","layer":2},{"info":"compute unary expreesion, input=2074, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2074","layer":1},{"info":"compute binary expreesion, left_input=-1, right_input=2074, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-4237","layer":0}],"base":11,"result_base":11,"text":"((⨵≀≌⋰*⋻2022)⊘)↙(⊙↵-(↯⪼⋰*⋻842))⪄(≦∁⋰*⋻1281⨐⩸⫘⋰*⋻3212↺⋰*⋻A84⇷⋰*⋻863)=⋰*⋻-3202","reverse_text":"⋰*⋻-3202=((⨵≀≌⋰*⋻2022)⊘)↙(⊙↵-(↯⪼⋰*⋻842))⪄(≦∁⋰*⋻1281⨐⩸⫘⋰*⋻3212↺⋰*⋻A84⇷⋰*⋻863)","cot":[{"info":"⨵≀≌⋰*⋻2022=⋰*⋻-6066","layer":3},{"info":"⋰*⋻-6066⊘=⋰*⋻-1","layer":2},{"info":"↯⪼⋰*⋻842=⋰*⋻-1A","layer":3},{"info":"⊙↵-⋰*⋻-1A=⋰*⋻0","layer":2},{"info":"⋰*⋻-1↙⋰*⋻0=⋰*⋻-1","layer":1},{"info":"⋰*⋻1281⨐⩸⫘⋰*⋻3212=NaN","layer":3},{"info":"⋰*⋻A84⇷⋰*⋻863=⋰*⋻1616","layer":3},{"info":"NaN↺⋰*⋻1616=⋰*⋻1616","layer":2},{"info":"≦∁⋰*⋻1616=⋰*⋻1616","layer":1},{"info":"⋰*⋻-1⪄⋰*⋻1616=⋰*⋻-3202","layer":0}]}
{"id":444,"expression_no_base_symbol":"(($2943$⪨≂$8868$)⫩⊇)+⇶⊼($2039$⪘⫢$5552$⋳⪒$1677$∑⇟⊟$1529$)⨁⊸⫻","expression":"((⋰*⋻2236⪨≂⋰*⋻6732)⫩⊇)+⇶⊼(⋰*⋻1594⪘⫢⋰*⋻4198⋳⪒⋰*⋻1295∑⇟⊟⋰*⋻1170)⨁⊸⫻","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":32,"operation_count":7,"complexity_ratio":4.571428571428571,"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":2943,"base":11},"right_expr":{"type":"numeric_atoms","value":8868,"base":11}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2039,"base":11},"right_expr":{"type":"numeric_atoms","value":5552,"base":11}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1677,"base":11},"right_expr":{"type":"numeric_atoms","value":1529,"base":11}}}}},"used_operators":["glklzrTFfD","TpPTUOHfaN","BjRHVeLaeN","sdazOOVcIp","12rbrZMWeM","oacrs7FA3X","U7g4x0WXJJ"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2943","layer":4},{"info":"number node, value=8868","layer":4},{"info":"compute binary expreesion, left_input=2943, right_input=8868, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-11748","layer":3},{"info":"compute unary expreesion, input=-11748, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=11790","layer":2},{"info":"number node, value=2039","layer":4},{"info":"number node, value=5552","layer":4},{"info":"compute binary expreesion, left_input=2039, right_input=5552, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3954","layer":3},{"info":"number node, value=1677","layer":4},{"info":"number node, value=1529","layer":4},{"info":"compute binary expreesion, left_input=1677, right_input=1529, 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=3954, 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=11790, 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 = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻2236⪨≂⋰*⋻6732)⫩⊇)+⇶⊼(⋰*⋻1594⪘⫢⋰*⋻4198⋳⪒⋰*⋻1295∑⇟⊟⋰*⋻1170)⨁⊸⫻=NaN","reverse_text":"NaN=((⋰*⋻2236⪨≂⋰*⋻6732)⫩⊇)+⇶⊼(⋰*⋻1594⪘⫢⋰*⋻4198⋳⪒⋰*⋻1295∑⇟⊟⋰*⋻1170)⨁⊸⫻","cot":[{"info":"⋰*⋻2236⪨≂⋰*⋻6732=⋰*⋻-8910","layer":3},{"info":"⋰*⋻-8910⫩⊇=⋰*⋻8949","layer":2},{"info":"⋰*⋻1594⪘⫢⋰*⋻4198=⋰*⋻2A75","layer":3},{"info":"⋰*⋻1295∑⇟⊟⋰*⋻1170=NaN","layer":3},{"info":"⋰*⋻2A75⋳⪒NaN=NaN","layer":2},{"info":"⋰*⋻8949+⇶⊼NaN=NaN","layer":1},{"info":"NaN⨁⊸⫻=NaN","layer":0}]}
{"id":445,"expression_no_base_symbol":"(((∂$5314$)/$7013$⨐⩸⫘$2475$)+⇶⊼($7930$⨓$4327$)⨟⋌⩍($3926$∸))≧⫂∧(($1534$⫥∨⫟$4582$∲⫓$1296$⨸⪁$1176$)⨳⩥⨓($7703$⫌⩹⨱)⨪↰⇹(↔$4249$))","expression":"(((∂⋰*⋻3AA1)/⋰*⋻52A6⨐⩸⫘⋰*⋻1950)+⇶⊼(⋰*⋻5A5A⨓⋰*⋻3284)⨟⋌⩍(⋰*⋻2A4A∸))≧⫂∧((⋰*⋻1175⫥∨⫟⋰*⋻3496∲⫓⋰*⋻A79⨸⪁⋰*⋻97A)⨳⩥⨓(⋰*⋻5873⫌⩹⨱)⨪↰⇹(↔⋰*⋻3213))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":22716,"operation_count":15,"complexity_ratio":1514.4,"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":5314,"base":11}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":7013,"base":11},"right_expr":{"type":"numeric_atoms","value":2475,"base":11}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":7930,"base":11},"right_expr":{"type":"numeric_atoms","value":4327,"base":11}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":3926,"base":11}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1534,"base":11},"right_expr":{"type":"numeric_atoms","value":4582,"base":11}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1296,"base":11},"right_expr":{"type":"numeric_atoms","value":1176,"base":11}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":7703,"base":11}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":4249,"base":11}}}}},"used_operators":["Ph9nP6C5qx","TpPTUOHfaN","XhwjNDsVaA","Uaa54Peajs","fu6greOZ01","rGHVDoGpnC","3ViojmjbAp","o20kRiQErp","nCS4ZIUYfx","i8ToyICDmI","KYD54nUTWz","g55IO6H4Gj","tmPS8pqC7x","EBcxylXtPf","ruOEQAzv1W"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","3ViojmjbAp","Tcnh7f0tEr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","tmPS8pqC7x","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"⋰*⋻112AA","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5314","layer":4},{"info":"compute unary expreesion, input=5314, 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=7013","layer":4},{"info":"number node, value=2475","layer":4},{"info":"compute binary expreesion, left_input=7013, right_input=2475, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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 = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=7930","layer":4},{"info":"number node, value=4327","layer":4},{"info":"compute binary expreesion, left_input=7930, right_input=4327, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4330","layer":3},{"info":"number node, value=3926","layer":4},{"info":"compute unary expreesion, input=3926, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=-4330, right_input=177, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=0","layer":1},{"info":"number node, value=1534","layer":4},{"info":"number node, value=4582","layer":4},{"info":"compute binary expreesion, left_input=1534, right_input=4582, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1296","layer":4},{"info":"number node, value=1176","layer":4},{"info":"compute binary expreesion, left_input=1296, right_input=1176, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=4944","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4944, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=7703","layer":4},{"info":"compute unary expreesion, input=7703, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=16807","layer":3},{"info":"number node, value=4249","layer":4},{"info":"compute unary expreesion, input=4249, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3976","layer":3},{"info":"compute binary expreesion, left_input=16807, right_input=-3976, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=16807","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=16807, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=16807","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=16807, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=16334","layer":0}],"base":11,"result_base":11,"text":"(((∂⋰*⋻3AA1)/⋰*⋻52A6⨐⩸⫘⋰*⋻1950)+⇶⊼(⋰*⋻5A5A⨓⋰*⋻3284)⨟⋌⩍(⋰*⋻2A4A∸))≧⫂∧((⋰*⋻1175⫥∨⫟⋰*⋻3496∲⫓⋰*⋻A79⨸⪁⋰*⋻97A)⨳⩥⨓(⋰*⋻5873⫌⩹⨱)⨪↰⇹(↔⋰*⋻3213))=⋰*⋻112AA","reverse_text":"⋰*⋻112AA=(((∂⋰*⋻3AA1)/⋰*⋻52A6⨐⩸⫘⋰*⋻1950)+⇶⊼(⋰*⋻5A5A⨓⋰*⋻3284)⨟⋌⩍(⋰*⋻2A4A∸))≧⫂∧((⋰*⋻1175⫥∨⫟⋰*⋻3496∲⫓⋰*⋻A79⨸⪁⋰*⋻97A)⨳⩥⨓(⋰*⋻5873⫌⩹⨱)⨪↰⇹(↔⋰*⋻3213))","cot":[{"info":"∂⋰*⋻3AA1=NaN","layer":3},{"info":"⋰*⋻52A6⨐⩸⫘⋰*⋻1950=NaN","layer":3},{"info":"NaN/NaN=NaN","layer":2},{"info":"⋰*⋻5A5A⨓⋰*⋻3284=⋰*⋻-3287","layer":3},{"info":"⋰*⋻2A4A∸=⋰*⋻151","layer":3},{"info":"⋰*⋻-3287⨟⋌⩍⋰*⋻151=⋰*⋻0","layer":2},{"info":"NaN+⇶⊼⋰*⋻0=⋰*⋻0","layer":1},{"info":"⋰*⋻1175⫥∨⫟⋰*⋻3496=NaN","layer":3},{"info":"⋰*⋻A79⨸⪁⋰*⋻97A=⋰*⋻3795","layer":3},{"info":"NaN∲⫓⋰*⋻3795=⋰*⋻0","layer":2},{"info":"⋰*⋻5873⫌⩹⨱=⋰*⋻1169A","layer":3},{"info":"↔⋰*⋻3213=⋰*⋻-2A95","layer":3},{"info":"⋰*⋻1169A⨪↰⇹⋰*⋻-2A95=⋰*⋻1169A","layer":2},{"info":"⋰*⋻0⨳⩥⨓⋰*⋻1169A=⋰*⋻1169A","layer":1},{"info":"⋰*⋻0≧⫂∧⋰*⋻1169A=⋰*⋻112AA","layer":0}]}
{"id":446,"expression_no_base_symbol":"(($1041$⨸⪁$2396$)⪮%⊝(≦∁$3751$)⨽(($1997$⪨≂$2851$)↺($3907$⫡⨏$5386$)))⨎(⊥(($7756$⊉≛↸$2265$)∀⇚≩($8178$⊭↱$1016$)))","expression":"((⋰*⋻867⨸⪁⋰*⋻1889)⪮%⊝(≦∁⋰*⋻2900)⨽((⋰*⋻1556⪨≂⋰*⋻2162)↺(⋰*⋻2A32⫡⨏⋰*⋻4057)))⨎(⊥((⋰*⋻5911⊉≛↸⋰*⋻177A)∀⇚≩(⋰*⋻6165⊭↱⋰*⋻844)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":122694,"operation_count":12,"complexity_ratio":10224.5,"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":1041,"base":11},"right_expr":{"type":"numeric_atoms","value":2396,"base":11}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":3751,"base":11}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1997,"base":11},"right_expr":{"type":"numeric_atoms","value":2851,"base":11}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3907,"base":11},"right_expr":{"type":"numeric_atoms","value":5386,"base":11}}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":7756,"base":11},"right_expr":{"type":"numeric_atoms","value":2265,"base":11}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":8178,"base":11},"right_expr":{"type":"numeric_atoms","value":1016,"base":11}}}}},"used_operators":["rJVOvQCfKK","8HhzD0ZcuI","IWmyXbctLI","g55IO6H4Gj","9ICcGScMcE","7j4O788W3g","sdazOOVcIp","QMFrweE19q","Q3PJZHRvZv","LRNGc0VcxI","DZ8iAZOCBD","COABgblf1C"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1041","layer":4},{"info":"number node, value=2396","layer":4},{"info":"compute binary expreesion, left_input=1041, right_input=2396, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=6874","layer":3},{"info":"number node, value=3751","layer":4},{"info":"compute unary expreesion, input=3751, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3751","layer":3},{"info":"compute binary expreesion, left_input=6874, right_input=3751, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=14064","layer":2},{"info":"number node, value=1997","layer":4},{"info":"number node, value=2851","layer":4},{"info":"compute binary expreesion, left_input=1997, right_input=2851, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-1606","layer":3},{"info":"number node, value=3907","layer":4},{"info":"number node, value=5386","layer":4},{"info":"compute binary expreesion, left_input=3907, right_input=5386, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=31090","layer":3},{"info":"compute binary expreesion, left_input=-1606, right_input=31090, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=31090","layer":2},{"info":"compute binary expreesion, left_input=14064, right_input=31090, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-593480244","layer":1},{"info":"number node, value=7756","layer":4},{"info":"number node, value=2265","layer":4},{"info":"compute binary expreesion, left_input=7756, right_input=2265, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=15512","layer":3},{"info":"number node, value=8178","layer":4},{"info":"number node, value=1016","layer":4},{"info":"compute binary expreesion, left_input=8178, right_input=1016, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-14319","layer":3},{"info":"compute binary expreesion, left_input=15512, right_input=-14319, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-593480244, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻867⨸⪁⋰*⋻1889)⪮%⊝(≦∁⋰*⋻2900)⨽((⋰*⋻1556⪨≂⋰*⋻2162)↺(⋰*⋻2A32⫡⨏⋰*⋻4057)))⨎(⊥((⋰*⋻5911⊉≛↸⋰*⋻177A)∀⇚≩(⋰*⋻6165⊭↱⋰*⋻844)))=NaN","reverse_text":"NaN=((⋰*⋻867⨸⪁⋰*⋻1889)⪮%⊝(≦∁⋰*⋻2900)⨽((⋰*⋻1556⪨≂⋰*⋻2162)↺(⋰*⋻2A32⫡⨏⋰*⋻4057)))⨎(⊥((⋰*⋻5911⊉≛↸⋰*⋻177A)∀⇚≩(⋰*⋻6165⊭↱⋰*⋻844)))","cot":[{"info":"⋰*⋻867⨸⪁⋰*⋻1889=⋰*⋻518A","layer":3},{"info":"≦∁⋰*⋻2900=⋰*⋻2900","layer":3},{"info":"⋰*⋻518A⪮%⊝⋰*⋻2900=⋰*⋻A626","layer":2},{"info":"⋰*⋻1556⪨≂⋰*⋻2162=⋰*⋻-1230","layer":3},{"info":"⋰*⋻2A32⫡⨏⋰*⋻4057=⋰*⋻213A4","layer":3},{"info":"⋰*⋻-1230↺⋰*⋻213A4=⋰*⋻213A4","layer":2},{"info":"⋰*⋻A626⨽⋰*⋻213A4=⋰*⋻-285005545","layer":1},{"info":"⋰*⋻5911⊉≛↸⋰*⋻177A=⋰*⋻10722","layer":3},{"info":"⋰*⋻6165⊭↱⋰*⋻844=⋰*⋻-A838","layer":3},{"info":"⋰*⋻10722∀⇚≩⋰*⋻-A838=NaN","layer":2},{"info":"⊥NaN=NaN","layer":1},{"info":"⋰*⋻-285005545⨎NaN=NaN","layer":0}]}
{"id":447,"expression_no_base_symbol":"⨞⊢((⋗⩬⋾$5380$)⪒(⨰⫟⨤$1823$))⪮%⊝((↽≂$1009$)⪛($7138$⨎$1071$))","expression":"⨞⊢((⋗⩬⋾⋰*⋻4051)⪒(⨰⫟⨤⋰*⋻1408))⪮%⊝((↽≂⋰*⋻838)⪛(⋰*⋻53AA⨎⋰*⋻894))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":6477,"operation_count":8,"complexity_ratio":809.625,"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":5380,"base":11}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1823,"base":11}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1009,"base":11}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":7138,"base":11},"right_expr":{"type":"numeric_atoms","value":1071,"base":11}}}}},"used_operators":["xUOZtlo3hN","IWmyXbctLI","f6k1SAg4EE","DpFCA1CohY","Tw270M8GLb","uFcxV4UQCh","u6S6b8DprG","rJVOvQCfKK"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5380","layer":4},{"info":"compute unary expreesion, input=5380, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-16140","layer":3},{"info":"number node, value=1823","layer":4},{"info":"compute unary expreesion, input=1823, 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=-16140, 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 = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2018","layer":3},{"info":"number node, value=7138","layer":4},{"info":"number node, value=1071","layer":4},{"info":"compute binary expreesion, left_input=7138, right_input=1071, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1071","layer":3},{"info":"compute binary expreesion, left_input=-2018, right_input=1071, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=124","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=124, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⨞⊢((⋗⩬⋾⋰*⋻4051)⪒(⨰⫟⨤⋰*⋻1408))⪮%⊝((↽≂⋰*⋻838)⪛(⋰*⋻53AA⨎⋰*⋻894))=NaN","reverse_text":"NaN=⨞⊢((⋗⩬⋾⋰*⋻4051)⪒(⨰⫟⨤⋰*⋻1408))⪮%⊝((↽≂⋰*⋻838)⪛(⋰*⋻53AA⨎⋰*⋻894))","cot":[{"info":"⋗⩬⋾⋰*⋻4051=⋰*⋻-11143","layer":3},{"info":"⨰⫟⨤⋰*⋻1408=NaN","layer":3},{"info":"⋰*⋻-11143⪒NaN=NaN","layer":2},{"info":"↽≂⋰*⋻838=⋰*⋻-1575","layer":3},{"info":"⋰*⋻53AA⨎⋰*⋻894=⋰*⋻894","layer":3},{"info":"⋰*⋻-1575⪛⋰*⋻894=⋰*⋻103","layer":2},{"info":"NaN⪮%⊝⋰*⋻103=NaN","layer":1},{"info":"⨞⊢NaN=NaN","layer":0}]}
{"id":448,"expression_no_base_symbol":"($2149$⪛$7257$⨁⊸⫻)⨟⋌⩍($1407$⋝⋈⪟$2226$⊭↱($1749$*$4442$))/((⨰⫟⨤$5353$)⪐)⨽($1236$⪒$1828$)+⇶⊼$5159$⨟⋌⩍$1005$","expression":"(⋰*⋻1684⪛⋰*⋻54A8⨁⊸⫻)⨟⋌⩍(⋰*⋻106A⋝⋈⪟⋰*⋻1744⊭↱(⋰*⋻1350*⋰*⋻3379))/((⨰⫟⨤⋰*⋻4027)⪐)⨽(⋰*⋻A24⪒⋰*⋻1412)+⇶⊼⋰*⋻3970⨟⋌⩍⋰*⋻834","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":22354,"operation_count":13,"complexity_ratio":1719.5384615384614,"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":2149,"base":11},"right_expr":{"type":"numeric_atoms","value":7257,"base":11}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1407,"base":11},"right_expr":{"type":"numeric_atoms","value":2226,"base":11}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1749,"base":11},"right_expr":{"type":"numeric_atoms","value":4442,"base":11}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":5353,"base":11}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1236,"base":11},"right_expr":{"type":"numeric_atoms","value":1828,"base":11}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":5159,"base":11},"right_expr":{"type":"numeric_atoms","value":1005,"base":11}}}}},"used_operators":["XhwjNDsVaA","rGHVDoGpnC","glklzrTFfD","uFcxV4UQCh","COABgblf1C","2DDjHMKMc0","9HNa5Wba9A","8HhzD0ZcuI","eH2TOUuTDT","Tw270M8GLb","TpPTUOHfaN","f6k1SAg4EE"],"dependent_operators":["rysDP5nf3Z","Tcnh7f0tEr","W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2149","layer":4},{"info":"number node, value=7257","layer":4},{"info":"compute binary expreesion, left_input=2149, right_input=7257, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2149","layer":3},{"info":"compute unary expreesion, input=2149, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=2149","layer":2},{"info":"number node, value=1407","layer":4},{"info":"number node, value=2226","layer":4},{"info":"compute binary expreesion, left_input=1407, right_input=2226, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1407","layer":3},{"info":"number node, value=1749","layer":4},{"info":"number node, value=4442","layer":4},{"info":"compute binary expreesion, left_input=1749, right_input=4442, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=7769058","layer":3},{"info":"compute binary expreesion, left_input=1407, right_input=7769058, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=15535307","layer":2},{"info":"compute binary expreesion, left_input=2149, right_input=15535307, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=5353","layer":4},{"info":"compute unary expreesion, input=5353, 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 = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":2},{"info":"number node, value=1236","layer":4},{"info":"number node, value=1828","layer":4},{"info":"compute binary expreesion, left_input=1236, right_input=1828, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3064","layer":3},{"info":"number node, value=5159","layer":4},{"info":"number node, value=1005","layer":4},{"info":"compute binary expreesion, left_input=5159, right_input=1005, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=-3064, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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 = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1684⪛⋰*⋻54A8⨁⊸⫻)⨟⋌⩍(⋰*⋻106A⋝⋈⪟⋰*⋻1744⊭↱(⋰*⋻1350*⋰*⋻3379))/((⨰⫟⨤⋰*⋻4027)⪐)⨽(⋰*⋻A24⪒⋰*⋻1412)+⇶⊼⋰*⋻3970⨟⋌⩍⋰*⋻834=NaN","reverse_text":"NaN=(⋰*⋻1684⪛⋰*⋻54A8⨁⊸⫻)⨟⋌⩍(⋰*⋻106A⋝⋈⪟⋰*⋻1744⊭↱(⋰*⋻1350*⋰*⋻3379))/((⨰⫟⨤⋰*⋻4027)⪐)⨽(⋰*⋻A24⪒⋰*⋻1412)+⇶⊼⋰*⋻3970⨟⋌⩍⋰*⋻834","cot":[{"info":"⋰*⋻1684⪛⋰*⋻54A8=⋰*⋻1684","layer":3},{"info":"⋰*⋻1684⨁⊸⫻=⋰*⋻1684","layer":2},{"info":"⋰*⋻106A⋝⋈⪟⋰*⋻1744=⋰*⋻106A","layer":3},{"info":"⋰*⋻1350*⋰*⋻3379=⋰*⋻4427010","layer":3},{"info":"⋰*⋻106A⊭↱⋰*⋻4427010=⋰*⋻88509A7","layer":2},{"info":"⋰*⋻1684⨟⋌⩍⋰*⋻88509A7=NaN","layer":1},{"info":"⨰⫟⨤⋰*⋻4027=NaN","layer":3},{"info":"NaN⪐=NaN","layer":2},{"info":"⋰*⋻A24⪒⋰*⋻1412=⋰*⋻-2336","layer":3},{"info":"⋰*⋻3970⨟⋌⩍⋰*⋻834=NaN","layer":3},{"info":"⋰*⋻-2336+⇶⊼NaN=NaN","layer":2},{"info":"NaN⨽NaN=NaN","layer":1},{"info":"NaN/NaN=NaN","layer":0}]}
{"id":449,"expression_no_base_symbol":"((($3062$∲⫓$2599$)⪒$1278$%$8247$)∧)⩤","expression":"(((⋰*⋻2334∲⫓⋰*⋻1A53)⪒⋰*⋻A62%⋰*⋻6218)∧)⩤","highest_n_order":5,"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":3062,"base":11},"right_expr":{"type":"numeric_atoms","value":2599,"base":11}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1278,"base":11},"right_expr":{"type":"numeric_atoms","value":8247,"base":11}}}}},"used_operators":["Z2TMIBDE3Q","z63VuFQld9","f6k1SAg4EE","i8ToyICDmI","k8jYdgA6NY"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3062","layer":4},{"info":"number node, value=2599","layer":4},{"info":"compute binary expreesion, left_input=3062, right_input=2599, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1278","layer":4},{"info":"number node, value=8247","layer":4},{"info":"compute binary expreesion, left_input=1278, right_input=8247, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1278","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1278, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-1278","layer":2},{"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=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=0","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻2334∲⫓⋰*⋻1A53)⪒⋰*⋻A62%⋰*⋻6218)∧)⩤=⋰*⋻0","reverse_text":"⋰*⋻0=(((⋰*⋻2334∲⫓⋰*⋻1A53)⪒⋰*⋻A62%⋰*⋻6218)∧)⩤","cot":[{"info":"⋰*⋻2334∲⫓⋰*⋻1A53=⋰*⋻0","layer":3},{"info":"⋰*⋻A62%⋰*⋻6218=⋰*⋻A62","layer":3},{"info":"⋰*⋻0⪒⋰*⋻A62=⋰*⋻-A62","layer":2},{"info":"⋰*⋻-A62∧=⋰*⋻0","layer":1},{"info":"⋰*⋻0⩤=⋰*⋻0","layer":0}]}
{"id":450,"expression_no_base_symbol":"(↩(⊥($1878$⩤)))⪘⫢(((≉$1061$)⪐)≫≃)","expression":"(↩(⊥(⋰*⋻1458⩤)))⪘⫢(((≉⋰*⋻885)⪐)≫≃)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":41,"operation_count":7,"complexity_ratio":5.857142857142857,"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":1878,"base":11}}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1061,"base":11}}}}},"used_operators":["oacrs7FA3X","jLgFTUHLKL","Q3PJZHRvZv","Z2TMIBDE3Q","X99M06cbEe","eH2TOUuTDT","e1ybzncUwg"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","fu6greOZ01","rysDP5nf3Z","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1878","layer":4},{"info":"compute unary expreesion, input=1878, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1878","layer":3},{"info":"compute unary expreesion, input=-1878, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (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=1061","layer":4},{"info":"compute unary expreesion, input=1061, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1592","layer":3},{"info":"compute unary expreesion, input=1592, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=3184","layer":2},{"info":"compute unary expreesion, input=3184, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=7769","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=7769, 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":11,"result_base":11,"text":"(↩(⊥(⋰*⋻1458⩤)))⪘⫢(((≉⋰*⋻885)⪐)≫≃)=NaN","reverse_text":"NaN=(↩(⊥(⋰*⋻1458⩤)))⪘⫢(((≉⋰*⋻885)⪐)≫≃)","cot":[{"info":"⋰*⋻1458⩤=⋰*⋻-1458","layer":3},{"info":"⊥⋰*⋻-1458=NaN","layer":2},{"info":"↩NaN=NaN","layer":1},{"info":"≉⋰*⋻885=⋰*⋻1218","layer":3},{"info":"⋰*⋻1218⪐=⋰*⋻2435","layer":2},{"info":"⋰*⋻2435≫≃=⋰*⋻5923","layer":1},{"info":"NaN⪘⫢⋰*⋻5923=NaN","layer":0}]}
{"id":451,"expression_no_base_symbol":"⨈⫕(($2076$∲⫓$1035$)%(≉$3314$))↬(($4983$⫡⨏$4985$)⨎(⫓⪴$2126$))","expression":"⨈⫕((⋰*⋻1618∲⫓⋰*⋻861)%(≉⋰*⋻2543))↬((⋰*⋻3820⫡⨏⋰*⋻3822)⨎(⫓⪴⋰*⋻1663))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2526,"operation_count":8,"complexity_ratio":315.75,"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":2076,"base":11},"right_expr":{"type":"numeric_atoms","value":1035,"base":11}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":3314,"base":11}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4983,"base":11},"right_expr":{"type":"numeric_atoms","value":4985,"base":11}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2126,"base":11}}}}},"used_operators":["megm06wKyl","B5M0gjZbta","k8jYdgA6NY","i8ToyICDmI","e1ybzncUwg","rJVOvQCfKK","QMFrweE19q","eLxqMNBOBk"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A"],"result":"⋰*⋻-1A","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2076","layer":4},{"info":"number node, value=1035","layer":4},{"info":"compute binary expreesion, left_input=2076, right_input=1035, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=3314","layer":4},{"info":"compute unary expreesion, input=3314, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3845","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3845, op_id = k8jYdgA6NY binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=4983","layer":4},{"info":"number node, value=4985","layer":4},{"info":"compute binary expreesion, left_input=4983, right_input=4985, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=35668","layer":3},{"info":"number node, value=2126","layer":4},{"info":"compute unary expreesion, input=2126, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=4519876","layer":3},{"info":"compute binary expreesion, left_input=35668, right_input=4519876, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4519876","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=4519876, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=4519876","layer":1},{"info":"compute unary expreesion, input=4519876, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":0}],"base":11,"result_base":11,"text":"⨈⫕((⋰*⋻1618∲⫓⋰*⋻861)%(≉⋰*⋻2543))↬((⋰*⋻3820⫡⨏⋰*⋻3822)⨎(⫓⪴⋰*⋻1663))=⋰*⋻-1A","reverse_text":"⋰*⋻-1A=⨈⫕((⋰*⋻1618∲⫓⋰*⋻861)%(≉⋰*⋻2543))↬((⋰*⋻3820⫡⨏⋰*⋻3822)⨎(⫓⪴⋰*⋻1663))","cot":[{"info":"⋰*⋻1618∲⫓⋰*⋻861=⋰*⋻0","layer":3},{"info":"≉⋰*⋻2543=⋰*⋻2986","layer":3},{"info":"⋰*⋻0%⋰*⋻2986=⋰*⋻0","layer":2},{"info":"⋰*⋻3820⫡⨏⋰*⋻3822=⋰*⋻24886","layer":3},{"info":"⫓⪴⋰*⋻1663=⋰*⋻2607939","layer":3},{"info":"⋰*⋻24886⨎⋰*⋻2607939=⋰*⋻2607939","layer":2},{"info":"⋰*⋻0↬⋰*⋻2607939=⋰*⋻2607939","layer":1},{"info":"⨈⫕⋰*⋻2607939=⋰*⋻-1A","layer":0}]}
{"id":452,"expression_no_base_symbol":"((($1452$⪠⩆⊳)⊘)⨪↰⇹(($5545$⪐)⫩⊇))⊴(($2136$⪐)⪄($1501$≣⋋)∲⫓(+⊝⨔($4487$⊭∹↮)))","expression":"(((⋰*⋻1100⪠⩆⊳)⊘)⨪↰⇹((⋰*⋻4191⪐)⫩⊇))⊴((⋰*⋻1672⪐)⪄(⋰*⋻1145≣⋋)∲⫓(+⊝⨔(⋰*⋻340A⊭∹↮)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":699,"operation_count":12,"complexity_ratio":58.25,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1452,"base":11}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":5545,"base":11}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":2136,"base":11}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":1501,"base":11}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":4487,"base":11}}}}},"used_operators":["Nsiff2A1zJ","tmPS8pqC7x","gu96TGCTMs","JLbD19bQDL","BjRHVeLaeN","eH2TOUuTDT","i8ToyICDmI","SUmda5xLS4","Tcnh7f0tEr","DhbWaqg5eL","xNBdhnnwKq"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","rJVOvQCfKK","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C"],"result":"⋰*⋻-72","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1452","layer":4},{"info":"compute unary expreesion, input=1452, 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=5545","layer":4},{"info":"compute unary expreesion, input=5545, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=11090","layer":3},{"info":"compute unary expreesion, input=11090, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-11048","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-11048, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=0","layer":1},{"info":"number node, value=2136","layer":4},{"info":"compute unary expreesion, input=2136, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=4272","layer":3},{"info":"number node, value=1501","layer":4},{"info":"compute unary expreesion, input=1501, 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=4272, right_input=0, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-628345","layer":2},{"info":"number node, value=4487","layer":4},{"info":"compute unary expreesion, input=4487, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=8974","layer":3},{"info":"compute unary expreesion, input=8974, 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=-628345, right_input=1522, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻1100⪠⩆⊳)⊘)⨪↰⇹((⋰*⋻4191⪐)⫩⊇))⊴((⋰*⋻1672⪐)⪄(⋰*⋻1145≣⋋)∲⫓(+⊝⨔(⋰*⋻340A⊭∹↮)))=⋰*⋻-72","reverse_text":"⋰*⋻-72=(((⋰*⋻1100⪠⩆⊳)⊘)⨪↰⇹((⋰*⋻4191⪐)⫩⊇))⊴((⋰*⋻1672⪐)⪄(⋰*⋻1145≣⋋)∲⫓(+⊝⨔(⋰*⋻340A⊭∹↮)))","cot":[{"info":"⋰*⋻1100⪠⩆⊳=⋰*⋻0","layer":3},{"info":"⋰*⋻0⊘=⋰*⋻0","layer":2},{"info":"⋰*⋻4191⪐=⋰*⋻8372","layer":3},{"info":"⋰*⋻8372⫩⊇=⋰*⋻-8334","layer":2},{"info":"⋰*⋻0⨪↰⇹⋰*⋻-8334=⋰*⋻0","layer":1},{"info":"⋰*⋻1672⪐=⋰*⋻3234","layer":3},{"info":"⋰*⋻1145≣⋋=⋰*⋻0","layer":3},{"info":"⋰*⋻3234⪄⋰*⋻0=⋰*⋻-39A0A3","layer":2},{"info":"⋰*⋻340A⊭∹↮=⋰*⋻6819","layer":3},{"info":"+⊝⨔⋰*⋻6819=⋰*⋻1164","layer":2},{"info":"⋰*⋻-39A0A3∲⫓⋰*⋻1164=⋰*⋻0","layer":1},{"info":"⋰*⋻0⊴⋰*⋻0=⋰*⋻-72","layer":0}]}
{"id":453,"expression_no_base_symbol":"(⨑⩽⪐$4745$)⋳⪒$2534$∼$5590$⫸⊐($2191$≹⇙⪍$3358$%($4216$+$1262$))*($9092$⨪↰⇹$2600$)⪮%⊝(⇁⨣⪵$1884$)∑⇟⊟(+⊝⨔$4226$)⇷($2589$+⇶⊼$2125$)","expression":"(⨑⩽⪐⋰*⋻3624)⋳⪒⋰*⋻19A4∼⋰*⋻4222⫸⊐(⋰*⋻1712≹⇙⪍⋰*⋻2583%(⋰*⋻3193+⋰*⋻A48))*(⋰*⋻6916⨪↰⇹⋰*⋻1A54)⪮%⊝(⇁⨣⪵⋰*⋻1463)∑⇟⊟(+⊝⨔⋰*⋻31A2)⇷(⋰*⋻1A44+⇶⊼⋰*⋻1662)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":30528,"operation_count":15,"complexity_ratio":2035.2,"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":4745,"base":11}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2534,"base":11},"right_expr":{"type":"numeric_atoms","value":5590,"base":11}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2191,"base":11},"right_expr":{"type":"numeric_atoms","value":3358,"base":11}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":4216,"base":11},"right_expr":{"type":"numeric_atoms","value":1262,"base":11}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":9092,"base":11},"right_expr":{"type":"numeric_atoms","value":2600,"base":11}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1884,"base":11}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":4226,"base":11}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2589,"base":11},"right_expr":{"type":"numeric_atoms","value":2125,"base":11}}}}},"used_operators":["9HNa5Wba9A","mqXw5SEYmG","12rbrZMWeM","AF7qkfDlqP","DyGG3AbaNP","k8jYdgA6NY","AHs5Up7iyr","W4YGzv6Whe","U7g4x0WXJJ","IWmyXbctLI","tmPS8pqC7x","inkyxCbjAn","mp7IySMOzn","DhbWaqg5eL","TpPTUOHfaN"],"dependent_operators":["W4YGzv6Whe","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","dWAJyo7jo9","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rJVOvQCfKK","B5M0gjZbta","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4745","layer":4},{"info":"compute unary expreesion, input=4745, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-4472","layer":3},{"info":"number node, value=2534","layer":4},{"info":"number node, value=5590","layer":4},{"info":"compute binary expreesion, left_input=2534, right_input=5590, 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=-4472, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"number node, value=2191","layer":4},{"info":"number node, value=3358","layer":4},{"info":"compute binary expreesion, left_input=2191, right_input=3358, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=4216","layer":4},{"info":"number node, value=1262","layer":4},{"info":"compute binary expreesion, left_input=4216, right_input=1262, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5478","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5478, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":1},{"info":"number node, value=9092","layer":4},{"info":"number node, value=2600","layer":4},{"info":"compute binary expreesion, left_input=9092, 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=9092","layer":3},{"info":"number node, value=1884","layer":4},{"info":"compute unary expreesion, input=1884, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=9092, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"number node, value=4226","layer":4},{"info":"compute unary expreesion, input=4226, 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=2589","layer":4},{"info":"number node, value=2125","layer":4},{"info":"compute binary expreesion, left_input=2589, right_input=2125, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=1522, 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 = 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 = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⨑⩽⪐⋰*⋻3624)⋳⪒⋰*⋻19A4∼⋰*⋻4222⫸⊐(⋰*⋻1712≹⇙⪍⋰*⋻2583%(⋰*⋻3193+⋰*⋻A48))*(⋰*⋻6916⨪↰⇹⋰*⋻1A54)⪮%⊝(⇁⨣⪵⋰*⋻1463)∑⇟⊟(+⊝⨔⋰*⋻31A2)⇷(⋰*⋻1A44+⇶⊼⋰*⋻1662)=NaN","reverse_text":"NaN=(⨑⩽⪐⋰*⋻3624)⋳⪒⋰*⋻19A4∼⋰*⋻4222⫸⊐(⋰*⋻1712≹⇙⪍⋰*⋻2583%(⋰*⋻3193+⋰*⋻A48))*(⋰*⋻6916⨪↰⇹⋰*⋻1A54)⪮%⊝(⇁⨣⪵⋰*⋻1463)∑⇟⊟(+⊝⨔⋰*⋻31A2)⇷(⋰*⋻1A44+⇶⊼⋰*⋻1662)","cot":[{"info":"⨑⩽⪐⋰*⋻3624=⋰*⋻-33A6","layer":3},{"info":"⋰*⋻19A4∼⋰*⋻4222=NaN","layer":3},{"info":"⋰*⋻-33A6⋳⪒NaN=NaN","layer":2},{"info":"⋰*⋻1712≹⇙⪍⋰*⋻2583=NaN","layer":3},{"info":"⋰*⋻3193+⋰*⋻A48=⋰*⋻4130","layer":3},{"info":"NaN%⋰*⋻4130=NaN","layer":2},{"info":"NaN⫸⊐NaN=NaN","layer":1},{"info":"⋰*⋻6916⨪↰⇹⋰*⋻1A54=⋰*⋻6916","layer":3},{"info":"⇁⨣⪵⋰*⋻1463=NaN","layer":3},{"info":"⋰*⋻6916⪮%⊝NaN=NaN","layer":2},{"info":"+⊝⨔⋰*⋻31A2=⋰*⋻1164","layer":3},{"info":"⋰*⋻1A44+⇶⊼⋰*⋻1662=NaN","layer":3},{"info":"⋰*⋻1164⇷NaN=NaN","layer":2},{"info":"NaN∑⇟⊟NaN=NaN","layer":1},{"info":"NaN*NaN=NaN","layer":0}]}
{"id":454,"expression_no_base_symbol":"((⊥$1355$)∼($2647$⨵⪆$1235$)⨸⪁(($1826$⩤)⊭∹↮))≦≮≮","expression":"((⊥⋰*⋻1022)∼(⋰*⋻1A97⨵⪆⋰*⋻A23)⨸⪁((⋰*⋻1410⩤)⊭∹↮))≦≮≮","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":671,"operation_count":7,"complexity_ratio":95.85714285714286,"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":1355,"base":11}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2647,"base":11},"right_expr":{"type":"numeric_atoms","value":1235,"base":11}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1826,"base":11}}}}},"used_operators":["D4vGDi5EA2","g55IO6H4Gj","DyGG3AbaNP","Q3PJZHRvZv","2DQ55sFlQl","xNBdhnnwKq","Z2TMIBDE3Q"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","fu6greOZ01","rysDP5nf3Z","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"⋰*⋻8260","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1355","layer":4},{"info":"compute unary expreesion, input=1355, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=2647","layer":4},{"info":"number node, value=1235","layer":4},{"info":"compute binary expreesion, left_input=2647, right_input=1235, 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 = 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=1826","layer":4},{"info":"compute unary expreesion, input=1826, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , 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=-1826","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-1826, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-3652","layer":1},{"info":"compute unary expreesion, input=-3652, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=10956","layer":0}],"base":11,"result_base":11,"text":"((⊥⋰*⋻1022)∼(⋰*⋻1A97⨵⪆⋰*⋻A23)⨸⪁((⋰*⋻1410⩤)⊭∹↮))≦≮≮=⋰*⋻8260","reverse_text":"⋰*⋻8260=((⊥⋰*⋻1022)∼(⋰*⋻1A97⨵⪆⋰*⋻A23)⨸⪁((⋰*⋻1410⩤)⊭∹↮))≦≮≮","cot":[{"info":"⊥⋰*⋻1022=NaN","layer":3},{"info":"⋰*⋻1A97⨵⪆⋰*⋻A23=⋰*⋻136","layer":3},{"info":"NaN∼⋰*⋻136=⋰*⋻0","layer":2},{"info":"⋰*⋻1410⩤=⋰*⋻-1410","layer":3},{"info":"⋰*⋻-1410⊭∹↮=⋰*⋻-1410","layer":2},{"info":"⋰*⋻0⨸⪁⋰*⋻-1410=⋰*⋻-2820","layer":1},{"info":"⋰*⋻-2820≦≮≮=⋰*⋻8260","layer":0}]}
{"id":455,"expression_no_base_symbol":"(↣≠⋷($3102$⇷$3352$))⩷∴($4404$≭$4748$⨳⩥⨓$1724$↬$1147$)⨐⩸⫘(($2326$⫡⨏$2129$+($3790$⋷$5163$))≣⋋)","expression":"(↣≠⋷(⋰*⋻2370⇷⋰*⋻2578))⩷∴(⋰*⋻3344≭⋰*⋻3627⨳⩥⨓⋰*⋻1328↬⋰*⋻953)⨐⩸⫘((⋰*⋻1825⫡⨏⋰*⋻1666+(⋰*⋻2936⋷⋰*⋻3974))≣⋋)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":43974,"operation_count":11,"complexity_ratio":3997.6363636363635,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3102,"base":11},"right_expr":{"type":"numeric_atoms","value":3352,"base":11}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4404,"base":11},"right_expr":{"type":"numeric_atoms","value":4748,"base":11}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1724,"base":11},"right_expr":{"type":"numeric_atoms","value":1147,"base":11}}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2326,"base":11},"right_expr":{"type":"numeric_atoms","value":2129,"base":11}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3790,"base":11},"right_expr":{"type":"numeric_atoms","value":5163,"base":11}}}}},"used_operators":["fu6greOZ01","9FxExcQeMw","Asc51vEJeQ","mp7IySMOzn","nCS4ZIUYfx","rxpJgHHUmx","B5M0gjZbta","Tcnh7f0tEr","W4YGzv6Whe","QMFrweE19q","23Mk6UjR3U"],"dependent_operators":["3ViojmjbAp","rysDP5nf3Z","XhwjNDsVaA","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","rGHVDoGpnC","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3102","layer":4},{"info":"number node, value=3352","layer":4},{"info":"compute binary expreesion, left_input=3102, right_input=3352, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6704","layer":3},{"info":"compute unary expreesion, input=6704, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=4404","layer":4},{"info":"number node, value=4748","layer":4},{"info":"compute binary expreesion, left_input=4404, right_input=4748, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=1724","layer":4},{"info":"number node, value=1147","layer":4},{"info":"compute binary expreesion, left_input=1724, right_input=1147, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = 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 = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"number node, value=2326","layer":4},{"info":"number node, value=2129","layer":4},{"info":"compute binary expreesion, left_input=2326, right_input=2129, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=16671","layer":3},{"info":"number node, value=3790","layer":4},{"info":"number node, value=5163","layer":4},{"info":"compute binary expreesion, left_input=3790, right_input=5163, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=6536","layer":3},{"info":"compute binary expreesion, left_input=16671, right_input=6536, op_id = W4YGzv6Whe binary_op_definition= 'None', output=23207","layer":2},{"info":"compute unary expreesion, input=23207, 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 = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"(↣≠⋷(⋰*⋻2370⇷⋰*⋻2578))⩷∴(⋰*⋻3344≭⋰*⋻3627⨳⩥⨓⋰*⋻1328↬⋰*⋻953)⨐⩸⫘((⋰*⋻1825⫡⨏⋰*⋻1666+(⋰*⋻2936⋷⋰*⋻3974))≣⋋)=NaN","reverse_text":"NaN=(↣≠⋷(⋰*⋻2370⇷⋰*⋻2578))⩷∴(⋰*⋻3344≭⋰*⋻3627⨳⩥⨓⋰*⋻1328↬⋰*⋻953)⨐⩸⫘((⋰*⋻1825⫡⨏⋰*⋻1666+(⋰*⋻2936⋷⋰*⋻3974))≣⋋)","cot":[{"info":"⋰*⋻2370⇷⋰*⋻2578=⋰*⋻5045","layer":3},{"info":"↣≠⋷⋰*⋻5045=NaN","layer":2},{"info":"⋰*⋻3344≭⋰*⋻3627=NaN","layer":3},{"info":"⋰*⋻1328↬⋰*⋻953=NaN","layer":3},{"info":"NaN⨳⩥⨓NaN=NaN","layer":2},{"info":"NaN⩷∴NaN=NaN","layer":1},{"info":"⋰*⋻1825⫡⨏⋰*⋻1666=⋰*⋻11586","layer":3},{"info":"⋰*⋻2936⋷⋰*⋻3974=⋰*⋻4A02","layer":3},{"info":"⋰*⋻11586+⋰*⋻4A02=⋰*⋻16488","layer":2},{"info":"⋰*⋻16488≣⋋=⋰*⋻0","layer":1},{"info":"NaN⨐⩸⫘⋰*⋻0=NaN","layer":0}]}
{"id":456,"expression_no_base_symbol":"($4583$∀⇚≩$5750$)⊴($7689$%$7614$)⪘⫢(⨈⫕$1448$)∼($2041$⨵⪆$4959$)↪⪝","expression":"(⋰*⋻3497∀⇚≩⋰*⋻4358)⊴(⋰*⋻5860%⋰*⋻57A2)⪘⫢(⨈⫕⋰*⋻10A7)∼(⋰*⋻1596⨵⪆⋰*⋻37A9)↪⪝","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":33225,"operation_count":8,"complexity_ratio":4153.125,"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":4583,"base":11},"right_expr":{"type":"numeric_atoms","value":5750,"base":11}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":7689,"base":11},"right_expr":{"type":"numeric_atoms","value":7614,"base":11}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1448,"base":11}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2041,"base":11},"right_expr":{"type":"numeric_atoms","value":4959,"base":11}}}}},"used_operators":["l07mrZUIn9","oacrs7FA3X","Nsiff2A1zJ","LRNGc0VcxI","k8jYdgA6NY","DyGG3AbaNP","megm06wKyl","2DQ55sFlQl"],"dependent_operators":["9HNa5Wba9A","2DDjHMKMc0","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","dWAJyo7jo9","14qkJME0vr","X99M06cbEe","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=4583","layer":4},{"info":"number node, value=5750","layer":4},{"info":"compute binary expreesion, left_input=4583, right_input=5750, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=7689","layer":4},{"info":"number node, value=7614","layer":4},{"info":"compute binary expreesion, left_input=7689, right_input=7614, op_id = k8jYdgA6NY binary_op_definition= 'None', output=75","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=75, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=1448","layer":4},{"info":"compute unary expreesion, input=1448, 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=2041","layer":4},{"info":"number node, value=4959","layer":4},{"info":"compute binary expreesion, left_input=2041, right_input=4959, 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=-21, 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=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 = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻3497∀⇚≩⋰*⋻4358)⊴(⋰*⋻5860%⋰*⋻57A2)⪘⫢(⨈⫕⋰*⋻10A7)∼(⋰*⋻1596⨵⪆⋰*⋻37A9)↪⪝=NaN","reverse_text":"NaN=(⋰*⋻3497∀⇚≩⋰*⋻4358)⊴(⋰*⋻5860%⋰*⋻57A2)⪘⫢(⨈⫕⋰*⋻10A7)∼(⋰*⋻1596⨵⪆⋰*⋻37A9)↪⪝","cot":[{"info":"⋰*⋻3497∀⇚≩⋰*⋻4358=NaN","layer":3},{"info":"⋰*⋻5860%⋰*⋻57A2=⋰*⋻69","layer":3},{"info":"NaN⊴⋰*⋻69=NaN","layer":2},{"info":"⨈⫕⋰*⋻10A7=⋰*⋻-1A","layer":3},{"info":"⋰*⋻1596⨵⪆⋰*⋻37A9=⋰*⋻136","layer":3},{"info":"⋰*⋻-1A∼⋰*⋻136=⋰*⋻0","layer":2},{"info":"NaN⪘⫢⋰*⋻0=NaN","layer":1},{"info":"NaN↪⪝=NaN","layer":0}]}
{"id":457,"expression_no_base_symbol":"(($6793$⩨$1985$)⪛($2757$-$3588$)⪒($2569$⨳⩥⨓$4498$)⋝⋈⪟($1444$⪒$3372$))⪘⫢(((↣≠⋷$6142$)↺$5687$≹⇙⪍$1486$)⫌⩹⨱)","expression":"((⋰*⋻5116⩨⋰*⋻1545)⪛(⋰*⋻2087-⋰*⋻2772)⪒(⋰*⋻1A26⨳⩥⨓⋰*⋻341A)⋝⋈⪟(⋰*⋻10A3⪒⋰*⋻2596))⪘⫢(((↣≠⋷⋰*⋻4684)↺⋰*⋻4300≹⇙⪍⋰*⋻1131)⫌⩹⨱)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":43,"operation_count":12,"complexity_ratio":3.5833333333333335,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":6793,"base":11},"right_expr":{"type":"numeric_atoms","value":1985,"base":11}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2757,"base":11},"right_expr":{"type":"numeric_atoms","value":3588,"base":11}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2569,"base":11},"right_expr":{"type":"numeric_atoms","value":4498,"base":11}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1444,"base":11},"right_expr":{"type":"numeric_atoms","value":3372,"base":11}}}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":6142,"base":11}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5687,"base":11},"right_expr":{"type":"numeric_atoms","value":1486,"base":11}}}}},"used_operators":["oacrs7FA3X","f6k1SAg4EE","uFcxV4UQCh","2DlMacCsIx","rysDP5nf3Z","2DDjHMKMc0","nCS4ZIUYfx","EBcxylXtPf","7j4O788W3g","Asc51vEJeQ","AHs5Up7iyr"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6793","layer":4},{"info":"number node, value=1985","layer":4},{"info":"compute binary expreesion, left_input=6793, right_input=1985, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=2757","layer":4},{"info":"number node, value=3588","layer":4},{"info":"compute binary expreesion, left_input=2757, right_input=3588, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-831","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-831, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=0","layer":2},{"info":"number node, value=2569","layer":4},{"info":"number node, value=4498","layer":4},{"info":"compute binary expreesion, left_input=2569, right_input=4498, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1929","layer":3},{"info":"number node, value=1444","layer":4},{"info":"number node, value=3372","layer":4},{"info":"compute binary expreesion, left_input=1444, right_input=3372, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4816","layer":3},{"info":"compute binary expreesion, left_input=1929, right_input=-4816, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1929","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=1929, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-1929","layer":1},{"info":"number node, value=6142","layer":4},{"info":"compute unary expreesion, input=6142, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=5687","layer":4},{"info":"number node, value=1486","layer":4},{"info":"compute binary expreesion, left_input=5687, right_input=1486, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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 = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-1929, 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":11,"result_base":11,"text":"((⋰*⋻5116⩨⋰*⋻1545)⪛(⋰*⋻2087-⋰*⋻2772)⪒(⋰*⋻1A26⨳⩥⨓⋰*⋻341A)⋝⋈⪟(⋰*⋻10A3⪒⋰*⋻2596))⪘⫢(((↣≠⋷⋰*⋻4684)↺⋰*⋻4300≹⇙⪍⋰*⋻1131)⫌⩹⨱)=NaN","reverse_text":"NaN=((⋰*⋻5116⩨⋰*⋻1545)⪛(⋰*⋻2087-⋰*⋻2772)⪒(⋰*⋻1A26⨳⩥⨓⋰*⋻341A)⋝⋈⪟(⋰*⋻10A3⪒⋰*⋻2596))⪘⫢(((↣≠⋷⋰*⋻4684)↺⋰*⋻4300≹⇙⪍⋰*⋻1131)⫌⩹⨱)","cot":[{"info":"⋰*⋻5116⩨⋰*⋻1545=⋰*⋻0","layer":3},{"info":"⋰*⋻2087-⋰*⋻2772=⋰*⋻-696","layer":3},{"info":"⋰*⋻0⪛⋰*⋻-696=⋰*⋻0","layer":2},{"info":"⋰*⋻1A26⨳⩥⨓⋰*⋻341A=⋰*⋻14A4","layer":3},{"info":"⋰*⋻10A3⪒⋰*⋻2596=⋰*⋻-3689","layer":3},{"info":"⋰*⋻14A4⋝⋈⪟⋰*⋻-3689=⋰*⋻14A4","layer":2},{"info":"⋰*⋻0⪒⋰*⋻14A4=⋰*⋻-14A4","layer":1},{"info":"↣≠⋷⋰*⋻4684=NaN","layer":3},{"info":"⋰*⋻4300≹⇙⪍⋰*⋻1131=NaN","layer":3},{"info":"NaN↺NaN=NaN","layer":2},{"info":"NaN⫌⩹⨱=NaN","layer":1},{"info":"⋰*⋻-14A4⪘⫢NaN=NaN","layer":0}]}
{"id":458,"expression_no_base_symbol":"(($1552$↺$2141$⩨(-$2239$))⋫)⩷∴((($5068$⋷$3751$)⊘)⪐)","expression":"((⋰*⋻1191↺⋰*⋻1677⩨(-⋰*⋻1756))⋫)⩷∴(((⋰*⋻3898⋷⋰*⋻2900)⊘)⪐)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":43,"operation_count":8,"complexity_ratio":5.375,"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":1552,"base":11},"right_expr":{"type":"numeric_atoms","value":2141,"base":11}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":2239,"base":11}}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":5068,"base":11},"right_expr":{"type":"numeric_atoms","value":3751,"base":11}}}}},"used_operators":["9FxExcQeMw","JL8yIekQnl","2DlMacCsIx","7j4O788W3g","t8gj7n24qd","eH2TOUuTDT","gu96TGCTMs","23Mk6UjR3U"],"dependent_operators":["rysDP5nf3Z","tmPS8pqC7x","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻-19","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1552","layer":4},{"info":"number node, value=2141","layer":4},{"info":"compute binary expreesion, left_input=1552, right_input=2141, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2141","layer":3},{"info":"number node, value=2239","layer":4},{"info":"compute unary expreesion, input=2239, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2239","layer":3},{"info":"compute binary expreesion, left_input=2141, right_input=-2239, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=6","layer":2},{"info":"compute unary expreesion, input=6, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=6","layer":1},{"info":"number node, value=5068","layer":4},{"info":"number node, value=3751","layer":4},{"info":"compute binary expreesion, left_input=5068, right_input=3751, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2434","layer":3},{"info":"compute unary expreesion, input=2434, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=6, right_input=0, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-20","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1191↺⋰*⋻1677⩨(-⋰*⋻1756))⋫)⩷∴(((⋰*⋻3898⋷⋰*⋻2900)⊘)⪐)=⋰*⋻-19","reverse_text":"⋰*⋻-19=((⋰*⋻1191↺⋰*⋻1677⩨(-⋰*⋻1756))⋫)⩷∴(((⋰*⋻3898⋷⋰*⋻2900)⊘)⪐)","cot":[{"info":"⋰*⋻1191↺⋰*⋻1677=⋰*⋻1677","layer":3},{"info":"-⋰*⋻1756=⋰*⋻-1756","layer":3},{"info":"⋰*⋻1677⩨⋰*⋻-1756=⋰*⋻6","layer":2},{"info":"⋰*⋻6⋫=⋰*⋻6","layer":1},{"info":"⋰*⋻3898⋷⋰*⋻2900=⋰*⋻1913","layer":3},{"info":"⋰*⋻1913⊘=⋰*⋻0","layer":2},{"info":"⋰*⋻0⪐=⋰*⋻0","layer":1},{"info":"⋰*⋻6⩷∴⋰*⋻0=⋰*⋻-19","layer":0}]}
{"id":459,"expression_no_base_symbol":"((+⊝⨔($8333$⨐⩸⫘$1286$))⨵⪆($2063$≎⊠⪸$1133$)↬($2110$⩠))↬($2025$≹⇙⪍$9881$⩨($7409$⨸⪁$7044$)+(⫛⫱⨽$3041$)∲⫓$1357$⊉≛↸$2145$)","expression":"((+⊝⨔(⋰*⋻6296⨐⩸⫘⋰*⋻A6A))⨵⪆(⋰*⋻1606≎⊠⪸⋰*⋻940)↬(⋰*⋻1649⩠))↬(⋰*⋻1581≹⇙⪍⋰*⋻7473⩨(⋰*⋻5626⨸⪁⋰*⋻5324)+(⫛⫱⨽⋰*⋻2315)∲⫓⋰*⋻1024⊉≛↸⋰*⋻1680)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1747,"operation_count":14,"complexity_ratio":124.78571428571429,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":8333,"base":11},"right_expr":{"type":"numeric_atoms","value":1286,"base":11}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2063,"base":11},"right_expr":{"type":"numeric_atoms","value":1133,"base":11}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":2110,"base":11}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2025,"base":11},"right_expr":{"type":"numeric_atoms","value":9881,"base":11}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":7409,"base":11},"right_expr":{"type":"numeric_atoms","value":7044,"base":11}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":3041,"base":11}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1357,"base":11},"right_expr":{"type":"numeric_atoms","value":2145,"base":11}}}}},"used_operators":["B5M0gjZbta","2DQ55sFlQl","DhbWaqg5eL","fu6greOZ01","bJkvcejdHO","sJAwomhLZr","W4YGzv6Whe","2DlMacCsIx","AHs5Up7iyr","g55IO6H4Gj","i8ToyICDmI","DlLNRPXxWL","DZ8iAZOCBD"],"dependent_operators":["rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","3ViojmjbAp","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=8333","layer":4},{"info":"number node, value=1286","layer":4},{"info":"compute binary expreesion, left_input=8333, right_input=1286, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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":"number node, value=2063","layer":4},{"info":"number node, value=1133","layer":4},{"info":"compute binary expreesion, left_input=2063, right_input=1133, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=533844","layer":3},{"info":"number node, value=2110","layer":4},{"info":"compute unary expreesion, input=2110, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=533844, 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=1522, 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=2025","layer":4},{"info":"number node, value=9881","layer":4},{"info":"compute binary expreesion, left_input=2025, right_input=9881, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=7409","layer":4},{"info":"number node, value=7044","layer":4},{"info":"compute binary expreesion, left_input=7409, right_input=7044, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=28906","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=28906, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"number node, value=3041","layer":4},{"info":"compute unary expreesion, input=3041, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=1357","layer":4},{"info":"number node, value=2145","layer":4},{"info":"compute binary expreesion, left_input=1357, right_input=2145, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2714","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2714, 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 = W4YGzv6Whe 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":11,"result_base":11,"text":"((+⊝⨔(⋰*⋻6296⨐⩸⫘⋰*⋻A6A))⨵⪆(⋰*⋻1606≎⊠⪸⋰*⋻940)↬(⋰*⋻1649⩠))↬(⋰*⋻1581≹⇙⪍⋰*⋻7473⩨(⋰*⋻5626⨸⪁⋰*⋻5324)+(⫛⫱⨽⋰*⋻2315)∲⫓⋰*⋻1024⊉≛↸⋰*⋻1680)=NaN","reverse_text":"NaN=((+⊝⨔(⋰*⋻6296⨐⩸⫘⋰*⋻A6A))⨵⪆(⋰*⋻1606≎⊠⪸⋰*⋻940)↬(⋰*⋻1649⩠))↬(⋰*⋻1581≹⇙⪍⋰*⋻7473⩨(⋰*⋻5626⨸⪁⋰*⋻5324)+(⫛⫱⨽⋰*⋻2315)∲⫓⋰*⋻1024⊉≛↸⋰*⋻1680)","cot":[{"info":"⋰*⋻6296⨐⩸⫘⋰*⋻A6A=NaN","layer":3},{"info":"+⊝⨔NaN=⋰*⋻1164","layer":2},{"info":"⋰*⋻1606≎⊠⪸⋰*⋻940=⋰*⋻3350A3","layer":3},{"info":"⋰*⋻1649⩠=⋰*⋻0","layer":3},{"info":"⋰*⋻3350A3↬⋰*⋻0=NaN","layer":2},{"info":"⋰*⋻1164⨵⪆NaN=⋰*⋻136","layer":1},{"info":"⋰*⋻1581≹⇙⪍⋰*⋻7473=NaN","layer":3},{"info":"⋰*⋻5626⨸⪁⋰*⋻5324=⋰*⋻1A799","layer":3},{"info":"NaN⩨⋰*⋻1A799=NaN","layer":2},{"info":"⫛⫱⨽⋰*⋻2315=⋰*⋻0","layer":3},{"info":"⋰*⋻1024⊉≛↸⋰*⋻1680=⋰*⋻2048","layer":3},{"info":"⋰*⋻0∲⫓⋰*⋻2048=⋰*⋻0","layer":2},{"info":"NaN+⋰*⋻0=NaN","layer":1},{"info":"⋰*⋻136↬NaN=NaN","layer":0}]}
{"id":460,"expression_no_base_symbol":"((($4018$⊦⊿)⫩⊇)⋫)⊦⊿","expression":"(((⋰*⋻3023⊦⊿)⫩⊇)⋫)⊦⊿","highest_n_order":3,"priority_hierarchical_complexity":1,"normalized_expansion_degree":12189,"operation_count":4,"complexity_ratio":3047.25,"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":4018,"base":11}}}}},"used_operators":["14qkJME0vr","JL8yIekQnl","BjRHVeLaeN"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd"],"result":"⋰*⋻-25557","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4018","layer":4},{"info":"compute unary expreesion, input=4018, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-12133","layer":3},{"info":"compute unary expreesion, input=-12133, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=12175","layer":2},{"info":"compute unary expreesion, input=12175, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=12175","layer":1},{"info":"compute unary expreesion, input=12175, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-36604","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻3023⊦⊿)⫩⊇)⋫)⊦⊿=⋰*⋻-25557","reverse_text":"⋰*⋻-25557=(((⋰*⋻3023⊦⊿)⫩⊇)⋫)⊦⊿","cot":[{"info":"⋰*⋻3023⊦⊿=⋰*⋻-9130","layer":3},{"info":"⋰*⋻-9130⫩⊇=⋰*⋻9169","layer":2},{"info":"⋰*⋻9169⋫=⋰*⋻9169","layer":1},{"info":"⋰*⋻9169⊦⊿=⋰*⋻-25557","layer":0}]}
{"id":461,"expression_no_base_symbol":"↽≂(($1544$⫸⊐$1325$⊭↱($2165$%$6913$))⊘)","expression":"↽≂((⋰*⋻1184⫸⊐⋰*⋻AA5⊭↱(⋰*⋻1699%⋰*⋻5215))⊘)","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":55,"operation_count":5,"complexity_ratio":11.0,"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":1544,"base":11},"right_expr":{"type":"numeric_atoms","value":1325,"base":11}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2165,"base":11},"right_expr":{"type":"numeric_atoms","value":6913,"base":11}}}}},"used_operators":["u6S6b8DprG","gu96TGCTMs","COABgblf1C","mqXw5SEYmG","k8jYdgA6NY"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z"],"result":"⋰*⋻2","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1544","layer":4},{"info":"number node, value=1325","layer":4},{"info":"compute binary expreesion, left_input=1544, right_input=1325, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5175","layer":3},{"info":"number node, value=2165","layer":4},{"info":"number node, value=6913","layer":4},{"info":"compute binary expreesion, left_input=2165, right_input=6913, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2165","layer":3},{"info":"compute binary expreesion, left_input=5175, right_input=2165, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-6015","layer":2},{"info":"compute unary expreesion, input=-6015, 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":1},{"info":"compute unary expreesion, input=-1, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=2","layer":0}],"base":11,"result_base":11,"text":"↽≂((⋰*⋻1184⫸⊐⋰*⋻AA5⊭↱(⋰*⋻1699%⋰*⋻5215))⊘)=⋰*⋻2","reverse_text":"⋰*⋻2=↽≂((⋰*⋻1184⫸⊐⋰*⋻AA5⊭↱(⋰*⋻1699%⋰*⋻5215))⊘)","cot":[{"info":"⋰*⋻1184⫸⊐⋰*⋻AA5=⋰*⋻3985","layer":3},{"info":"⋰*⋻1699%⋰*⋻5215=⋰*⋻1699","layer":3},{"info":"⋰*⋻3985⊭↱⋰*⋻1699=⋰*⋻-4579","layer":2},{"info":"⋰*⋻-4579⊘=⋰*⋻-1","layer":1},{"info":"↽≂⋰*⋻-1=⋰*⋻2","layer":0}]}
{"id":462,"expression_no_base_symbol":"↥(((⊄⩳↩$1443$)⪠⩆⊳)⨵⪆($4045$⪒$3687$)⪛($2313$≧⫂∧$2379$))","expression":"↥(((⊄⩳↩⋰*⋻10A2)⪠⩆⊳)⨵⪆(⋰*⋻3048⪒⋰*⋻2852)⪛(⋰*⋻1813≧⫂∧⋰*⋻1873))","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":24,"operation_count":7,"complexity_ratio":3.4285714285714284,"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":1443,"base":11}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":4045,"base":11},"right_expr":{"type":"numeric_atoms","value":3687,"base":11}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2313,"base":11},"right_expr":{"type":"numeric_atoms","value":2379,"base":11}}}}},"used_operators":["A8NUZmVepG","2DQ55sFlQl","JLbD19bQDL","8w2t5hMYqp","uFcxV4UQCh","f6k1SAg4EE","Ph9nP6C5qx"],"dependent_operators":["k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⋰*⋻7","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1443","layer":4},{"info":"compute unary expreesion, input=1443, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-4329","layer":3},{"info":"compute unary expreesion, input=-4329, 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=4045","layer":4},{"info":"number node, value=3687","layer":4},{"info":"compute binary expreesion, left_input=4045, right_input=3687, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7732","layer":3},{"info":"number node, value=2313","layer":4},{"info":"number node, value=2379","layer":4},{"info":"compute binary expreesion, left_input=2313, right_input=2379, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1906","layer":3},{"info":"compute binary expreesion, left_input=-7732, right_input=1906, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1798","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=1798, 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":11,"result_base":11,"text":"↥(((⊄⩳↩⋰*⋻10A2)⪠⩆⊳)⨵⪆(⋰*⋻3048⪒⋰*⋻2852)⪛(⋰*⋻1813≧⫂∧⋰*⋻1873))=⋰*⋻7","reverse_text":"⋰*⋻7=↥(((⊄⩳↩⋰*⋻10A2)⪠⩆⊳)⨵⪆(⋰*⋻3048⪒⋰*⋻2852)⪛(⋰*⋻1813≧⫂∧⋰*⋻1873))","cot":[{"info":"⊄⩳↩⋰*⋻10A2=⋰*⋻-3286","layer":3},{"info":"⋰*⋻-3286⪠⩆⊳=⋰*⋻0","layer":2},{"info":"⋰*⋻3048⪒⋰*⋻2852=⋰*⋻-589A","layer":3},{"info":"⋰*⋻1813≧⫂∧⋰*⋻1873=⋰*⋻1483","layer":3},{"info":"⋰*⋻-589A⪛⋰*⋻1483=⋰*⋻1395","layer":2},{"info":"⋰*⋻0⨵⪆⋰*⋻1395=⋰*⋻136","layer":1},{"info":"↥⋰*⋻136=⋰*⋻7","layer":0}]}
{"id":463,"expression_no_base_symbol":"↯⪼((⋗⩬⋾($2113$⊭↱$2278$))⊉≛↸($3320$⊘)⫸⊐($1440$⊉≛↸$3677$))","expression":"↯⪼((⋗⩬⋾(⋰*⋻1651⊭↱⋰*⋻1791))⊉≛↸(⋰*⋻2549⊘)⫸⊐(⋰*⋻109A⊉≛↸⋰*⋻2843))","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":69,"operation_count":7,"complexity_ratio":9.857142857142858,"tree":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2113,"base":11},"right_expr":{"type":"numeric_atoms","value":2278,"base":11}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":3320,"base":11}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1440,"base":11},"right_expr":{"type":"numeric_atoms","value":3677,"base":11}}}}},"used_operators":["8jW3W4yZS5","DZ8iAZOCBD","DpFCA1CohY","COABgblf1C","mqXw5SEYmG","gu96TGCTMs"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"⋰*⋻-1A","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2113","layer":4},{"info":"number node, value=2278","layer":4},{"info":"compute binary expreesion, left_input=2113, right_input=2278, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=335","layer":3},{"info":"compute unary expreesion, input=335, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-1005","layer":2},{"info":"number node, value=3320","layer":4},{"info":"compute unary expreesion, input=3320, 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=1440","layer":4},{"info":"number node, value=3677","layer":4},{"info":"compute binary expreesion, left_input=1440, right_input=3677, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2880","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2880, 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=-1005, 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 = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":0}],"base":11,"result_base":11,"text":"↯⪼((⋗⩬⋾(⋰*⋻1651⊭↱⋰*⋻1791))⊉≛↸(⋰*⋻2549⊘)⫸⊐(⋰*⋻109A⊉≛↸⋰*⋻2843))=⋰*⋻-1A","reverse_text":"⋰*⋻-1A=↯⪼((⋗⩬⋾(⋰*⋻1651⊭↱⋰*⋻1791))⊉≛↸(⋰*⋻2549⊘)⫸⊐(⋰*⋻109A⊉≛↸⋰*⋻2843))","cot":[{"info":"⋰*⋻1651⊭↱⋰*⋻1791=⋰*⋻285","layer":3},{"info":"⋗⩬⋾⋰*⋻285=⋰*⋻-834","layer":2},{"info":"⋰*⋻2549⊘=⋰*⋻0","layer":3},{"info":"⋰*⋻109A⊉≛↸⋰*⋻2843=⋰*⋻2189","layer":3},{"info":"⋰*⋻0⫸⊐⋰*⋻2189=⋰*⋻0","layer":2},{"info":"⋰*⋻-834⊉≛↸⋰*⋻0=⋰*⋻0","layer":1},{"info":"↯⪼⋰*⋻0=⋰*⋻-1A","layer":0}]}
{"id":464,"expression_no_base_symbol":"(⨵≀≌(↩$1430$⋳⪒$2847$))≧⫂∧((⊄⩳↩$4411$⪘⫢$8347$)⋳⪒($2830$⋷$5117$⫡⨏($2702$⪨≂$1439$)))","expression":"(⨵≀≌(↩⋰*⋻1090⋳⪒⋰*⋻2159))≧⫂∧((⊄⩳↩⋰*⋻3350⪘⫢⋰*⋻62A9)⋳⪒(⋰*⋻2143⋷⋰*⋻3932⫡⨏(⋰*⋻2037⪨≂⋰*⋻1099)))","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":72,"operation_count":10,"complexity_ratio":7.2,"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":1430,"base":11},"right_expr":{"type":"numeric_atoms","value":2847,"base":11}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4411,"base":11},"right_expr":{"type":"numeric_atoms","value":8347,"base":11}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2830,"base":11},"right_expr":{"type":"numeric_atoms","value":5117,"base":11}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2702,"base":11},"right_expr":{"type":"numeric_atoms","value":1439,"base":11}}}}},"used_operators":["Ph9nP6C5qx","srAu1WTS94","jLgFTUHLKL","12rbrZMWeM","8w2t5hMYqp","oacrs7FA3X","QMFrweE19q","23Mk6UjR3U","sdazOOVcIp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⋰*⋻58445","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1430","layer":4},{"info":"number node, value=2847","layer":4},{"info":"compute binary expreesion, left_input=1430, right_input=2847, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-274","layer":3},{"info":"compute unary expreesion, input=-274, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=3716","layer":2},{"info":"compute unary expreesion, input=3716, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-11148","layer":1},{"info":"number node, value=4411","layer":4},{"info":"number node, value=8347","layer":4},{"info":"compute binary expreesion, left_input=4411, right_input=8347, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=8698","layer":3},{"info":"compute unary expreesion, input=8698, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-26094","layer":2},{"info":"number node, value=2830","layer":4},{"info":"number node, value=5117","layer":4},{"info":"compute binary expreesion, left_input=2830, right_input=5117, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=7404","layer":3},{"info":"number node, value=2702","layer":4},{"info":"number node, value=1439","layer":4},{"info":"compute binary expreesion, left_input=2702, right_input=1439, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=2628","layer":3},{"info":"compute binary expreesion, left_input=7404, right_input=2628, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=43059","layer":2},{"info":"compute binary expreesion, left_input=-26094, right_input=43059, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-95534","layer":1},{"info":"compute binary expreesion, left_input=-11148, right_input=-95534, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=84386","layer":0}],"base":11,"result_base":11,"text":"(⨵≀≌(↩⋰*⋻1090⋳⪒⋰*⋻2159))≧⫂∧((⊄⩳↩⋰*⋻3350⪘⫢⋰*⋻62A9)⋳⪒(⋰*⋻2143⋷⋰*⋻3932⫡⨏(⋰*⋻2037⪨≂⋰*⋻1099)))=⋰*⋻58445","reverse_text":"⋰*⋻58445=(⨵≀≌(↩⋰*⋻1090⋳⪒⋰*⋻2159))≧⫂∧((⊄⩳↩⋰*⋻3350⪘⫢⋰*⋻62A9)⋳⪒(⋰*⋻2143⋷⋰*⋻3932⫡⨏(⋰*⋻2037⪨≂⋰*⋻1099)))","cot":[{"info":"⋰*⋻1090⋳⪒⋰*⋻2159=⋰*⋻-22A","layer":3},{"info":"↩⋰*⋻-22A=⋰*⋻2879","layer":2},{"info":"⨵≀≌⋰*⋻2879=⋰*⋻-8415","layer":1},{"info":"⋰*⋻3350⪘⫢⋰*⋻62A9=⋰*⋻6598","layer":3},{"info":"⊄⩳↩⋰*⋻6598=⋰*⋻-18672","layer":2},{"info":"⋰*⋻2143⋷⋰*⋻3932=⋰*⋻5621","layer":3},{"info":"⋰*⋻2037⪨≂⋰*⋻1099=⋰*⋻1A7A","layer":3},{"info":"⋰*⋻5621⫡⨏⋰*⋻1A7A=⋰*⋻2A395","layer":2},{"info":"⋰*⋻-18672⋳⪒⋰*⋻2A395=⋰*⋻-6585A","layer":1},{"info":"⋰*⋻-8415≧⫂∧⋰*⋻-6585A=⋰*⋻58445","layer":0}]}
{"id":465,"expression_no_base_symbol":"(($2942$↛⩡⫤)⪮%⊝(⨰⫟⨤$3165$)⨸⪁(⨰⫟⨤(⋗⩬⋾$1170$)))⨟⋌⩍(↩(($6931$⪐)⊭∹↮))","expression":"((⋰*⋻2235↛⩡⫤)⪮%⊝(⨰⫟⨤⋰*⋻2418)⨸⪁(⨰⫟⨤(⋗⩬⋾⋰*⋻974)))⨟⋌⩍(↩((⋰*⋻5231⪐)⊭∹↮))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":35752,"operation_count":10,"complexity_ratio":3575.2,"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":2942,"base":11}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":3165,"base":11}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1170,"base":11}}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":6931,"base":11}}}}},"used_operators":["rGHVDoGpnC","g55IO6H4Gj","IWmyXbctLI","FU0Cs4j7VP","Tw270M8GLb","DpFCA1CohY","jLgFTUHLKL","xNBdhnnwKq","eH2TOUuTDT"],"dependent_operators":["Tcnh7f0tEr","W4YGzv6Whe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2942","layer":4},{"info":"compute unary expreesion, input=2942, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-440331","layer":3},{"info":"number node, value=3165","layer":4},{"info":"compute unary expreesion, input=3165, 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=-440331, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"number node, value=1170","layer":4},{"info":"compute unary expreesion, input=1170, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3510","layer":3},{"info":"compute unary expreesion, input=-3510, 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 = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"number node, value=6931","layer":4},{"info":"compute unary expreesion, input=6931, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=13862","layer":3},{"info":"compute unary expreesion, input=13862, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=27724","layer":2},{"info":"compute unary expreesion, input=27724, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-219012","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-219012, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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":11,"result_base":11,"text":"((⋰*⋻2235↛⩡⫤)⪮%⊝(⨰⫟⨤⋰*⋻2418)⨸⪁(⨰⫟⨤(⋗⩬⋾⋰*⋻974)))⨟⋌⩍(↩((⋰*⋻5231⪐)⊭∹↮))=NaN","reverse_text":"NaN=((⋰*⋻2235↛⩡⫤)⪮%⊝(⨰⫟⨤⋰*⋻2418)⨸⪁(⨰⫟⨤(⋗⩬⋾⋰*⋻974)))⨟⋌⩍(↩((⋰*⋻5231⪐)⊭∹↮))","cot":[{"info":"⋰*⋻2235↛⩡⫤=⋰*⋻-280911","layer":3},{"info":"⨰⫟⨤⋰*⋻2418=NaN","layer":3},{"info":"⋰*⋻-280911⪮%⊝NaN=NaN","layer":2},{"info":"⋗⩬⋾⋰*⋻974=⋰*⋻-2701","layer":3},{"info":"⨰⫟⨤⋰*⋻-2701=NaN","layer":2},{"info":"NaN⨸⪁NaN=NaN","layer":1},{"info":"⋰*⋻5231⪐=⋰*⋻A462","layer":3},{"info":"⋰*⋻A462⊭∹↮=⋰*⋻19914","layer":2},{"info":"↩⋰*⋻19914=⋰*⋻-13A602","layer":1},{"info":"NaN⨟⋌⩍⋰*⋻-13A602=NaN","layer":0}]}
{"id":466,"expression_no_base_symbol":"(∂($1940$≎⊠⪸$2818$))⊭↱(⨞⊢(↽≂$1163$))*($2438$⫸⊐$1218$+(↽≂$1486$))⨽(⋗⩬⋾(∥⊫$5527$))","expression":"(∂(⋰*⋻1504≎⊠⪸⋰*⋻2132))⊭↱(⨞⊢(↽≂⋰*⋻968))*(⋰*⋻1917⫸⊐⋰*⋻A08+(↽≂⋰*⋻1131))⨽(⋗⩬⋾(∥⊫⋰*⋻4175))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2102,"operation_count":12,"complexity_ratio":175.16666666666666,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1940,"base":11},"right_expr":{"type":"numeric_atoms","value":2818,"base":11}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1163,"base":11}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2438,"base":11},"right_expr":{"type":"numeric_atoms","value":1218,"base":11}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1486,"base":11}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":5527,"base":11}}}}},"used_operators":["9HNa5Wba9A","COABgblf1C","Uaa54Peajs","bJkvcejdHO","xUOZtlo3hN","u6S6b8DprG","8HhzD0ZcuI","W4YGzv6Whe","mqXw5SEYmG","DpFCA1CohY","P8v4zCKN1o"],"dependent_operators":["W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1940","layer":4},{"info":"number node, value=2818","layer":4},{"info":"compute binary expreesion, left_input=1940, right_input=2818, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=501987","layer":3},{"info":"compute unary expreesion, input=501987, 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=1163","layer":4},{"info":"compute unary expreesion, input=1163, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2326","layer":3},{"info":"compute unary expreesion, input=-2326, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=2152","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2152, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"number node, value=2438","layer":4},{"info":"number node, value=1218","layer":4},{"info":"compute binary expreesion, left_input=2438, right_input=1218, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4747","layer":3},{"info":"number node, value=1486","layer":4},{"info":"compute unary expreesion, input=1486, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2972","layer":3},{"info":"compute binary expreesion, left_input=4747, right_input=-2972, op_id = W4YGzv6Whe binary_op_definition= 'None', output=1775","layer":2},{"info":"number node, value=5527","layer":4},{"info":"compute unary expreesion, input=5527, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=6395","layer":3},{"info":"compute unary expreesion, input=6395, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-19185","layer":2},{"info":"compute binary expreesion, left_input=1775, right_input=-19185, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-9393006","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-9393006, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"(∂(⋰*⋻1504≎⊠⪸⋰*⋻2132))⊭↱(⨞⊢(↽≂⋰*⋻968))*(⋰*⋻1917⫸⊐⋰*⋻A08+(↽≂⋰*⋻1131))⨽(⋗⩬⋾(∥⊫⋰*⋻4175))=NaN","reverse_text":"NaN=(∂(⋰*⋻1504≎⊠⪸⋰*⋻2132))⊭↱(⨞⊢(↽≂⋰*⋻968))*(⋰*⋻1917⫸⊐⋰*⋻A08+(↽≂⋰*⋻1131))⨽(⋗⩬⋾(∥⊫⋰*⋻4175))","cot":[{"info":"⋰*⋻1504≎⊠⪸⋰*⋻2132=⋰*⋻313172","layer":3},{"info":"∂⋰*⋻313172=NaN","layer":2},{"info":"↽≂⋰*⋻968=⋰*⋻-1825","layer":3},{"info":"⨞⊢⋰*⋻-1825=⋰*⋻1687","layer":2},{"info":"NaN⊭↱⋰*⋻1687=NaN","layer":1},{"info":"⋰*⋻1917⫸⊐⋰*⋻A08=⋰*⋻3626","layer":3},{"info":"↽≂⋰*⋻1131=⋰*⋻-2262","layer":3},{"info":"⋰*⋻3626+⋰*⋻-2262=⋰*⋻1374","layer":2},{"info":"∥⊫⋰*⋻4175=⋰*⋻4894","layer":3},{"info":"⋗⩬⋾⋰*⋻4894=⋰*⋻-13461","layer":2},{"info":"⋰*⋻1374⨽⋰*⋻-13461=⋰*⋻-5336117","layer":1},{"info":"NaN*⋰*⋻-5336117=NaN","layer":0}]}
{"id":467,"expression_no_base_symbol":"⋗⩬⋾(⩦⩻⨪(⨑⩽⪐$4557$))⇷($1719$⪐)⨪↰⇹($3858$⋝⋈⪟$7965$)","expression":"⋗⩬⋾(⩦⩻⨪(⨑⩽⪐⋰*⋻3473))⇷(⋰*⋻1323⪐)⨪↰⇹(⋰*⋻2998⋝⋈⪟⋰*⋻5A91)","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":63435,"operation_count":7,"complexity_ratio":9062.142857142857,"tree":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":4557,"base":11}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1719,"base":11}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3858,"base":11},"right_expr":{"type":"numeric_atoms","value":7965,"base":11}}}}},"used_operators":["DpFCA1CohY","mp7IySMOzn","2td37pGCOC","AF7qkfDlqP","tmPS8pqC7x","eH2TOUuTDT","2DDjHMKMc0"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻-14553","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4557","layer":4},{"info":"compute unary expreesion, input=4557, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-4284","layer":3},{"info":"compute unary expreesion, input=-4284, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-4284","layer":2},{"info":"number node, value=1719","layer":4},{"info":"compute unary expreesion, input=1719, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=3438","layer":3},{"info":"number node, value=3858","layer":4},{"info":"number node, value=7965","layer":4},{"info":"compute binary expreesion, left_input=3858, right_input=7965, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3858","layer":3},{"info":"compute binary expreesion, left_input=3438, right_input=3858, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3438","layer":2},{"info":"compute binary expreesion, left_input=-4284, right_input=3438, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6876","layer":1},{"info":"compute unary expreesion, input=6876, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-20628","layer":0}],"base":11,"result_base":11,"text":"⋗⩬⋾(⩦⩻⨪(⨑⩽⪐⋰*⋻3473))⇷(⋰*⋻1323⪐)⨪↰⇹(⋰*⋻2998⋝⋈⪟⋰*⋻5A91)=⋰*⋻-14553","reverse_text":"⋰*⋻-14553=⋗⩬⋾(⩦⩻⨪(⨑⩽⪐⋰*⋻3473))⇷(⋰*⋻1323⪐)⨪↰⇹(⋰*⋻2998⋝⋈⪟⋰*⋻5A91)","cot":[{"info":"⨑⩽⪐⋰*⋻3473=⋰*⋻-3245","layer":3},{"info":"⩦⩻⨪⋰*⋻-3245=⋰*⋻-3245","layer":2},{"info":"⋰*⋻1323⪐=⋰*⋻2646","layer":3},{"info":"⋰*⋻2998⋝⋈⪟⋰*⋻5A91=⋰*⋻2998","layer":3},{"info":"⋰*⋻2646⨪↰⇹⋰*⋻2998=⋰*⋻2646","layer":2},{"info":"⋰*⋻-3245⇷⋰*⋻2646=⋰*⋻5191","layer":1},{"info":"⋗⩬⋾⋰*⋻5191=⋰*⋻-14553","layer":0}]}
{"id":468,"expression_no_base_symbol":"($2423$⨪↰⇹$1681$+$1737$↙$4677$)∀⇚≩($3375$⨰$3700$⨳⩥⨓(≉$5112$))⋝⋈⪟((-$2627$)⪮%⊝(∥⊫$1507$)⊉≛↸(($3232$⊦⊿)∲⫓$2214$⋳⪒$1128$))","expression":"(⋰*⋻1903⨪↰⇹⋰*⋻1299+⋰*⋻133A↙⋰*⋻3572)∀⇚≩(⋰*⋻2599⨰⋰*⋻2864⨳⩥⨓(≉⋰*⋻3928))⋝⋈⪟((-⋰*⋻1A79)⪮%⊝(∥⊫⋰*⋻1150)⊉≛↸((⋰*⋻2479⊦⊿)∲⫓⋰*⋻1733⋳⪒⋰*⋻936))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":88407,"operation_count":15,"complexity_ratio":5893.8,"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":2423,"base":11},"right_expr":{"type":"numeric_atoms","value":1681,"base":11}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1737,"base":11},"right_expr":{"type":"numeric_atoms","value":4677,"base":11}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3375,"base":11},"right_expr":{"type":"numeric_atoms","value":3700,"base":11}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":5112,"base":11}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":2627,"base":11}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1507,"base":11}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":3232,"base":11}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2214,"base":11},"right_expr":{"type":"numeric_atoms","value":1128,"base":11}}}}},"used_operators":["2DDjHMKMc0","LRNGc0VcxI","W4YGzv6Whe","tmPS8pqC7x","yyfyN0ffXY","nCS4ZIUYfx","eewbuw0ToL","e1ybzncUwg","DZ8iAZOCBD","IWmyXbctLI","t8gj7n24qd","P8v4zCKN1o","i8ToyICDmI","14qkJME0vr","12rbrZMWeM"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","rJVOvQCfKK","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2423","layer":4},{"info":"number node, value=1681","layer":4},{"info":"compute binary expreesion, left_input=2423, right_input=1681, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2423","layer":3},{"info":"number node, value=1737","layer":4},{"info":"number node, value=4677","layer":4},{"info":"compute binary expreesion, left_input=1737, right_input=4677, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-14031","layer":3},{"info":"compute binary expreesion, left_input=2423, right_input=-14031, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-11608","layer":2},{"info":"number node, value=3375","layer":4},{"info":"number node, value=3700","layer":4},{"info":"compute binary expreesion, left_input=3375, right_input=3700, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-315","layer":3},{"info":"number node, value=5112","layer":4},{"info":"compute unary expreesion, input=5112, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=5643","layer":3},{"info":"compute binary expreesion, left_input=-315, right_input=5643, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=5958","layer":2},{"info":"compute binary expreesion, left_input=-11608, right_input=5958, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=2627","layer":4},{"info":"compute unary expreesion, input=2627, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2627","layer":3},{"info":"number node, value=1507","layer":4},{"info":"compute unary expreesion, input=1507, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2375","layer":3},{"info":"compute binary expreesion, left_input=-2627, right_input=2375, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-4938","layer":2},{"info":"number node, value=3232","layer":4},{"info":"compute unary expreesion, input=3232, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-9775","layer":3},{"info":"number node, value=2214","layer":4},{"info":"number node, value=1128","layer":4},{"info":"compute binary expreesion, left_input=2214, right_input=1128, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3013","layer":3},{"info":"compute binary expreesion, left_input=-9775, right_input=3013, 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=-4938, 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 binary expreesion, left_input=nan, right_input=0, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1903⨪↰⇹⋰*⋻1299+⋰*⋻133A↙⋰*⋻3572)∀⇚≩(⋰*⋻2599⨰⋰*⋻2864⨳⩥⨓(≉⋰*⋻3928))⋝⋈⪟((-⋰*⋻1A79)⪮%⊝(∥⊫⋰*⋻1150)⊉≛↸((⋰*⋻2479⊦⊿)∲⫓⋰*⋻1733⋳⪒⋰*⋻936))=NaN","reverse_text":"NaN=(⋰*⋻1903⨪↰⇹⋰*⋻1299+⋰*⋻133A↙⋰*⋻3572)∀⇚≩(⋰*⋻2599⨰⋰*⋻2864⨳⩥⨓(≉⋰*⋻3928))⋝⋈⪟((-⋰*⋻1A79)⪮%⊝(∥⊫⋰*⋻1150)⊉≛↸((⋰*⋻2479⊦⊿)∲⫓⋰*⋻1733⋳⪒⋰*⋻936))","cot":[{"info":"⋰*⋻1903⨪↰⇹⋰*⋻1299=⋰*⋻1903","layer":3},{"info":"⋰*⋻133A↙⋰*⋻3572=⋰*⋻-A5A6","layer":3},{"info":"⋰*⋻1903+⋰*⋻-A5A6=⋰*⋻-87A3","layer":2},{"info":"⋰*⋻2599⨰⋰*⋻2864=⋰*⋻-267","layer":3},{"info":"≉⋰*⋻3928=⋰*⋻4270","layer":3},{"info":"⋰*⋻-267⨳⩥⨓⋰*⋻4270=⋰*⋻4527","layer":2},{"info":"⋰*⋻-87A3∀⇚≩⋰*⋻4527=NaN","layer":1},{"info":"-⋰*⋻1A79=⋰*⋻-1A79","layer":3},{"info":"∥⊫⋰*⋻1150=⋰*⋻186A","layer":3},{"info":"⋰*⋻-1A79⪮%⊝⋰*⋻186A=⋰*⋻-378A","layer":2},{"info":"⋰*⋻2479⊦⊿=⋰*⋻-7387","layer":3},{"info":"⋰*⋻1733⋳⪒⋰*⋻936=⋰*⋻229A","layer":3},{"info":"⋰*⋻-7387∲⫓⋰*⋻229A=⋰*⋻0","layer":2},{"info":"⋰*⋻-378A⊉≛↸⋰*⋻0=⋰*⋻0","layer":1},{"info":"NaN⋝⋈⪟⋰*⋻0=NaN","layer":0}]}
{"id":469,"expression_no_base_symbol":"($6323$∑⇟⊟$2879$⊭↱$1914$↙$1929$+$4979$⋝⋈⪟$6805$⨽$4678$⨟⋌⩍$1174$)↬((($1643$⫡⨏$1455$)-$1928$⫸⊐$5185$)⨓($3482$∲⫓$2887$)⪘⫢($1687$⇼⇔∾$3591$))","expression":"(⋰*⋻4829∑⇟⊟⋰*⋻2188⊭↱⋰*⋻1490↙⋰*⋻14A4+⋰*⋻3817⋝⋈⪟⋰*⋻5127⨽⋰*⋻3573⨟⋌⩍⋰*⋻978)↬(((⋰*⋻1264⫡⨏⋰*⋻1103)-⋰*⋻14A3⫸⊐⋰*⋻3994)⨓(⋰*⋻2686∲⫓⋰*⋻2195)⪘⫢(⋰*⋻12A4⇼⇔∾⋰*⋻2775))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":8149,"operation_count":15,"complexity_ratio":543.2666666666667,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":6323,"base":11},"right_expr":{"type":"numeric_atoms","value":2879,"base":11}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1914,"base":11},"right_expr":{"type":"numeric_atoms","value":1929,"base":11}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4979,"base":11},"right_expr":{"type":"numeric_atoms","value":6805,"base":11}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4678,"base":11},"right_expr":{"type":"numeric_atoms","value":1174,"base":11}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1643,"base":11},"right_expr":{"type":"numeric_atoms","value":1455,"base":11}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1928,"base":11},"right_expr":{"type":"numeric_atoms","value":5185,"base":11}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3482,"base":11},"right_expr":{"type":"numeric_atoms","value":2887,"base":11}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1687,"base":11},"right_expr":{"type":"numeric_atoms","value":3591,"base":11}}}}},"used_operators":["B5M0gjZbta","W4YGzv6Whe","COABgblf1C","U7g4x0WXJJ","yyfyN0ffXY","8HhzD0ZcuI","2DDjHMKMc0","rGHVDoGpnC","3ViojmjbAp","rysDP5nf3Z","QMFrweE19q","mqXw5SEYmG","oacrs7FA3X","i8ToyICDmI","tifHPKVTfV"],"dependent_operators":["rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","tmPS8pqC7x","DpFCA1CohY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6323","layer":4},{"info":"number node, value=2879","layer":4},{"info":"compute binary expreesion, left_input=6323, right_input=2879, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1914","layer":4},{"info":"number node, value=1929","layer":4},{"info":"compute binary expreesion, left_input=1914, right_input=1929, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5787","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5787, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"number node, value=4979","layer":4},{"info":"number node, value=6805","layer":4},{"info":"compute binary expreesion, left_input=4979, right_input=6805, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4979","layer":3},{"info":"number node, value=4678","layer":4},{"info":"number node, value=1174","layer":4},{"info":"compute binary expreesion, left_input=4678, right_input=1174, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=4979, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1643","layer":4},{"info":"number node, value=1455","layer":4},{"info":"compute binary expreesion, left_input=1643, right_input=1455, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=11908","layer":3},{"info":"number node, value=1928","layer":4},{"info":"number node, value=5185","layer":4},{"info":"compute binary expreesion, left_input=1928, right_input=5185, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=20615","layer":3},{"info":"compute binary expreesion, left_input=11908, right_input=20615, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-8707","layer":2},{"info":"number node, value=3482","layer":4},{"info":"number node, value=2887","layer":4},{"info":"compute binary expreesion, left_input=3482, right_input=2887, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1687","layer":4},{"info":"number node, value=3591","layer":4},{"info":"compute binary expreesion, left_input=1687, right_input=3591, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1904","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1904, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1156","layer":2},{"info":"compute binary expreesion, left_input=-8707, right_input=-1156, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=1153","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1153, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻4829∑⇟⊟⋰*⋻2188⊭↱⋰*⋻1490↙⋰*⋻14A4+⋰*⋻3817⋝⋈⪟⋰*⋻5127⨽⋰*⋻3573⨟⋌⩍⋰*⋻978)↬(((⋰*⋻1264⫡⨏⋰*⋻1103)-⋰*⋻14A3⫸⊐⋰*⋻3994)⨓(⋰*⋻2686∲⫓⋰*⋻2195)⪘⫢(⋰*⋻12A4⇼⇔∾⋰*⋻2775))=NaN","reverse_text":"NaN=(⋰*⋻4829∑⇟⊟⋰*⋻2188⊭↱⋰*⋻1490↙⋰*⋻14A4+⋰*⋻3817⋝⋈⪟⋰*⋻5127⨽⋰*⋻3573⨟⋌⩍⋰*⋻978)↬(((⋰*⋻1264⫡⨏⋰*⋻1103)-⋰*⋻14A3⫸⊐⋰*⋻3994)⨓(⋰*⋻2686∲⫓⋰*⋻2195)⪘⫢(⋰*⋻12A4⇼⇔∾⋰*⋻2775))","cot":[{"info":"⋰*⋻4829∑⇟⊟⋰*⋻2188=NaN","layer":3},{"info":"⋰*⋻1490↙⋰*⋻14A4=⋰*⋻-4391","layer":3},{"info":"NaN⊭↱⋰*⋻-4391=NaN","layer":2},{"info":"⋰*⋻3817⋝⋈⪟⋰*⋻5127=⋰*⋻3817","layer":3},{"info":"⋰*⋻3573⨟⋌⩍⋰*⋻978=NaN","layer":3},{"info":"⋰*⋻3817⨽NaN=NaN","layer":2},{"info":"NaN+NaN=NaN","layer":1},{"info":"⋰*⋻1264⫡⨏⋰*⋻1103=⋰*⋻8A46","layer":3},{"info":"⋰*⋻14A3⫸⊐⋰*⋻3994=⋰*⋻14541","layer":3},{"info":"⋰*⋻8A46-⋰*⋻14541=⋰*⋻-65A6","layer":2},{"info":"⋰*⋻2686∲⫓⋰*⋻2195=⋰*⋻0","layer":3},{"info":"⋰*⋻12A4⇼⇔∾⋰*⋻2775=⋰*⋻1481","layer":3},{"info":"⋰*⋻0⪘⫢⋰*⋻1481=⋰*⋻-961","layer":2},{"info":"⋰*⋻-65A6⨓⋰*⋻-961=⋰*⋻959","layer":1},{"info":"NaN↬⋰*⋻959=NaN","layer":0}]}
{"id":470,"expression_no_base_symbol":"($5039$⨸⪁$1302$)⨟⋌⩍($3689$-$1099$)↬(($7108$⊭↱$1067$)↙$1027$≭$2790$)⋷(⨰⫟⨤(⫓⪴$1309$))⫥∨⫟(($1073$/$3337$)⪒$2512$⨐⩸⫘$1324$)","expression":"(⋰*⋻3871⨸⪁⋰*⋻A84)⨟⋌⩍(⋰*⋻2854-⋰*⋻90A)↬((⋰*⋻5382⊭↱⋰*⋻890)↙⋰*⋻854≭⋰*⋻2107)⋷(⨰⫟⨤(⫓⪴⋰*⋻A90))⫥∨⫟((⋰*⋻896/⋰*⋻2564)⪒⋰*⋻1984⨐⩸⫘⋰*⋻AA4)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3427608,"operation_count":14,"complexity_ratio":244829.14285714287,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":5039,"base":11},"right_expr":{"type":"numeric_atoms","value":1302,"base":11}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3689,"base":11},"right_expr":{"type":"numeric_atoms","value":1099,"base":11}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":7108,"base":11},"right_expr":{"type":"numeric_atoms","value":1067,"base":11}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1027,"base":11},"right_expr":{"type":"numeric_atoms","value":2790,"base":11}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1309,"base":11}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1073,"base":11},"right_expr":{"type":"numeric_atoms","value":3337,"base":11}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2512,"base":11},"right_expr":{"type":"numeric_atoms","value":1324,"base":11}}}}},"used_operators":["23Mk6UjR3U","B5M0gjZbta","rGHVDoGpnC","g55IO6H4Gj","rysDP5nf3Z","yyfyN0ffXY","COABgblf1C","rxpJgHHUmx","KYD54nUTWz","Tw270M8GLb","eLxqMNBOBk","f6k1SAg4EE","XhwjNDsVaA","fu6greOZ01"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","Tcnh7f0tEr","W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5039","layer":4},{"info":"number node, value=1302","layer":4},{"info":"compute binary expreesion, left_input=5039, right_input=1302, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=12682","layer":3},{"info":"number node, value=3689","layer":4},{"info":"number node, value=1099","layer":4},{"info":"compute binary expreesion, left_input=3689, right_input=1099, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2590","layer":3},{"info":"compute binary expreesion, left_input=12682, right_input=2590, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=7108","layer":4},{"info":"number node, value=1067","layer":4},{"info":"compute binary expreesion, left_input=7108, right_input=1067, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-12077","layer":3},{"info":"number node, value=1027","layer":4},{"info":"number node, value=2790","layer":4},{"info":"compute binary expreesion, left_input=1027, right_input=2790, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=-12077, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-12077","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-12077, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1309","layer":4},{"info":"compute unary expreesion, input=1309, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1713481","layer":3},{"info":"compute unary expreesion, input=1713481, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=1073","layer":4},{"info":"number node, value=3337","layer":4},{"info":"compute binary expreesion, left_input=1073, right_input=3337, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=2512","layer":4},{"info":"number node, value=1324","layer":4},{"info":"compute binary expreesion, left_input=2512, right_input=1324, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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 = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', 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 = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻3871⨸⪁⋰*⋻A84)⨟⋌⩍(⋰*⋻2854-⋰*⋻90A)↬((⋰*⋻5382⊭↱⋰*⋻890)↙⋰*⋻854≭⋰*⋻2107)⋷(⨰⫟⨤(⫓⪴⋰*⋻A90))⫥∨⫟((⋰*⋻896/⋰*⋻2564)⪒⋰*⋻1984⨐⩸⫘⋰*⋻AA4)=NaN","reverse_text":"NaN=(⋰*⋻3871⨸⪁⋰*⋻A84)⨟⋌⩍(⋰*⋻2854-⋰*⋻90A)↬((⋰*⋻5382⊭↱⋰*⋻890)↙⋰*⋻854≭⋰*⋻2107)⋷(⨰⫟⨤(⫓⪴⋰*⋻A90))⫥∨⫟((⋰*⋻896/⋰*⋻2564)⪒⋰*⋻1984⨐⩸⫘⋰*⋻AA4)","cot":[{"info":"⋰*⋻3871⨸⪁⋰*⋻A84=⋰*⋻958A","layer":3},{"info":"⋰*⋻2854-⋰*⋻90A=⋰*⋻1A45","layer":3},{"info":"⋰*⋻958A⨟⋌⩍⋰*⋻1A45=NaN","layer":2},{"info":"⋰*⋻5382⊭↱⋰*⋻890=⋰*⋻-908A","layer":3},{"info":"⋰*⋻854≭⋰*⋻2107=NaN","layer":3},{"info":"⋰*⋻-908A↙NaN=⋰*⋻-908A","layer":2},{"info":"NaN↬⋰*⋻-908A=NaN","layer":1},{"info":"⫓⪴⋰*⋻A90=⋰*⋻A70400","layer":3},{"info":"⨰⫟⨤⋰*⋻A70400=NaN","layer":2},{"info":"⋰*⋻896/⋰*⋻2564=⋰*⋻0","layer":3},{"info":"⋰*⋻1984⨐⩸⫘⋰*⋻AA4=NaN","layer":3},{"info":"⋰*⋻0⪒NaN=NaN","layer":2},{"info":"NaN⫥∨⫟NaN=NaN","layer":1},{"info":"NaN⋷NaN=NaN","layer":0}]}
{"id":471,"expression_no_base_symbol":"(∥⊫($1595$%$1755$⨵⪆$5199$⇷$2542$))⫡⨏(⊥(($1053$⪨≂$3636$)↬(↣≠⋷$5539$)))","expression":"(∥⊫(⋰*⋻1220%⋰*⋻1356⨵⪆⋰*⋻39A7⇷⋰*⋻1A01))⫡⨏(⊥((⋰*⋻878⪨≂⋰*⋻2806)↬(↣≠⋷⋰*⋻4186)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":72815,"operation_count":9,"complexity_ratio":8090.555555555556,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1595,"base":11},"right_expr":{"type":"numeric_atoms","value":1755,"base":11}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":5199,"base":11},"right_expr":{"type":"numeric_atoms","value":2542,"base":11}}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1053,"base":11},"right_expr":{"type":"numeric_atoms","value":3636,"base":11}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":5539,"base":11}}}}},"used_operators":["QMFrweE19q","P8v4zCKN1o","2DQ55sFlQl","k8jYdgA6NY","mp7IySMOzn","Q3PJZHRvZv","B5M0gjZbta","sdazOOVcIp","Asc51vEJeQ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","fu6greOZ01","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1595","layer":4},{"info":"number node, value=1755","layer":4},{"info":"compute binary expreesion, left_input=1595, right_input=1755, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1595","layer":3},{"info":"number node, value=5199","layer":4},{"info":"number node, value=2542","layer":4},{"info":"compute binary expreesion, left_input=5199, right_input=2542, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5084","layer":3},{"info":"compute binary expreesion, left_input=1595, right_input=5084, 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 = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=1028","layer":1},{"info":"number node, value=1053","layer":4},{"info":"number node, value=3636","layer":4},{"info":"compute binary expreesion, left_input=1053, right_input=3636, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-5064","layer":3},{"info":"number node, value=5539","layer":4},{"info":"compute unary expreesion, input=5539, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-5064, 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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1028, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(∥⊫(⋰*⋻1220%⋰*⋻1356⨵⪆⋰*⋻39A7⇷⋰*⋻1A01))⫡⨏(⊥((⋰*⋻878⪨≂⋰*⋻2806)↬(↣≠⋷⋰*⋻4186)))=NaN","reverse_text":"NaN=(∥⊫(⋰*⋻1220%⋰*⋻1356⨵⪆⋰*⋻39A7⇷⋰*⋻1A01))⫡⨏(⊥((⋰*⋻878⪨≂⋰*⋻2806)↬(↣≠⋷⋰*⋻4186)))","cot":[{"info":"⋰*⋻1220%⋰*⋻1356=⋰*⋻1220","layer":3},{"info":"⋰*⋻39A7⇷⋰*⋻1A01=⋰*⋻3902","layer":3},{"info":"⋰*⋻1220⨵⪆⋰*⋻3902=⋰*⋻136","layer":2},{"info":"∥⊫⋰*⋻136=⋰*⋻855","layer":1},{"info":"⋰*⋻878⪨≂⋰*⋻2806=⋰*⋻-3894","layer":3},{"info":"↣≠⋷⋰*⋻4186=NaN","layer":3},{"info":"⋰*⋻-3894↬NaN=NaN","layer":2},{"info":"⊥NaN=NaN","layer":1},{"info":"⋰*⋻855⫡⨏NaN=NaN","layer":0}]}
{"id":472,"expression_no_base_symbol":"(⫓⪴(($2049$⨳⩥⨓$1089$)⫥∨⫟($2926$⋷$6012$)))⨓(($2005$⨟⋌⩍$1187$⫥∨⫟($2615$⩨$1952$))⩷∴(($5705$*$1128$)≭($1553$-$1188$)))","expression":"(⫓⪴((⋰*⋻15A3⨳⩥⨓⋰*⋻900)⫥∨⫟(⋰*⋻2220⋷⋰*⋻4576)))⨓((⋰*⋻1563⨟⋌⩍⋰*⋻98A⫥∨⫟(⋰*⋻1A68⩨⋰*⋻1515))⩷∴((⋰*⋻4317*⋰*⋻936)≭(⋰*⋻1192-⋰*⋻990)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1463,"operation_count":12,"complexity_ratio":121.91666666666667,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2049,"base":11},"right_expr":{"type":"numeric_atoms","value":1089,"base":11}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2926,"base":11},"right_expr":{"type":"numeric_atoms","value":6012,"base":11}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2005,"base":11},"right_expr":{"type":"numeric_atoms","value":1187,"base":11}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2615,"base":11},"right_expr":{"type":"numeric_atoms","value":1952,"base":11}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":5705,"base":11},"right_expr":{"type":"numeric_atoms","value":1128,"base":11}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1553,"base":11},"right_expr":{"type":"numeric_atoms","value":1188,"base":11}}}}},"used_operators":["3ViojmjbAp","eLxqMNBOBk","KYD54nUTWz","nCS4ZIUYfx","23Mk6UjR3U","9FxExcQeMw","rGHVDoGpnC","2DlMacCsIx","rxpJgHHUmx","9HNa5Wba9A","rysDP5nf3Z"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9HNa5Wba9A","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Tcnh7f0tEr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","AHs5Up7iyr","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2049","layer":4},{"info":"number node, value=1089","layer":4},{"info":"compute binary expreesion, left_input=2049, right_input=1089, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-960","layer":3},{"info":"number node, value=2926","layer":4},{"info":"number node, value=6012","layer":4},{"info":"compute binary expreesion, left_input=2926, right_input=6012, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=9098","layer":3},{"info":"compute binary expreesion, left_input=-960, right_input=9098, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽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=2005","layer":4},{"info":"number node, value=1187","layer":4},{"info":"compute binary expreesion, left_input=2005, 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":"number node, value=2615","layer":4},{"info":"number node, value=1952","layer":4},{"info":"compute binary expreesion, left_input=2615, right_input=1952, 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 = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=5705","layer":4},{"info":"number node, value=1128","layer":4},{"info":"compute binary expreesion, left_input=5705, right_input=1128, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=6435240","layer":3},{"info":"number node, value=1553","layer":4},{"info":"number node, value=1188","layer":4},{"info":"compute binary expreesion, left_input=1553, right_input=1188, op_id = rysDP5nf3Z binary_op_definition= 'None', output=365","layer":3},{"info":"compute binary expreesion, left_input=6435240, right_input=365, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⫓⪴((⋰*⋻15A3⨳⩥⨓⋰*⋻900)⫥∨⫟(⋰*⋻2220⋷⋰*⋻4576)))⨓((⋰*⋻1563⨟⋌⩍⋰*⋻98A⫥∨⫟(⋰*⋻1A68⩨⋰*⋻1515))⩷∴((⋰*⋻4317*⋰*⋻936)≭(⋰*⋻1192-⋰*⋻990)))=NaN","reverse_text":"NaN=(⫓⪴((⋰*⋻15A3⨳⩥⨓⋰*⋻900)⫥∨⫟(⋰*⋻2220⋷⋰*⋻4576)))⨓((⋰*⋻1563⨟⋌⩍⋰*⋻98A⫥∨⫟(⋰*⋻1A68⩨⋰*⋻1515))⩷∴((⋰*⋻4317*⋰*⋻936)≭(⋰*⋻1192-⋰*⋻990)))","cot":[{"info":"⋰*⋻15A3⨳⩥⨓⋰*⋻900=⋰*⋻-7A3","layer":3},{"info":"⋰*⋻2220⋷⋰*⋻4576=⋰*⋻6921","layer":3},{"info":"⋰*⋻-7A3⫥∨⫟⋰*⋻6921=NaN","layer":2},{"info":"⫓⪴NaN=NaN","layer":1},{"info":"⋰*⋻1563⨟⋌⩍⋰*⋻98A=NaN","layer":3},{"info":"⋰*⋻1A68⩨⋰*⋻1515=⋰*⋻0","layer":3},{"info":"NaN⫥∨⫟⋰*⋻0=NaN","layer":2},{"info":"⋰*⋻4317*⋰*⋻936=⋰*⋻36A5989","layer":3},{"info":"⋰*⋻1192-⋰*⋻990=⋰*⋻302","layer":3},{"info":"⋰*⋻36A5989≭⋰*⋻302=NaN","layer":2},{"info":"NaN⩷∴NaN=NaN","layer":1},{"info":"NaN⨓NaN=NaN","layer":0}]}
{"id":473,"expression_no_base_symbol":"(⨰⫟⨤($6505$⫸⊐$2323$)⪢(∂$4219$))↺(⫓⪴(($3214$⊠≄⫣)+⇶⊼($1651$∧)))","expression":"(⨰⫟⨤(⋰*⋻4984⫸⊐⋰*⋻1822)⪢(∂⋰*⋻3196))↺(⫓⪴((⋰*⋻2462⊠≄⫣)+⇶⊼(⋰*⋻1271∧)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":68,"operation_count":9,"complexity_ratio":7.555555555555555,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":6505,"base":11},"right_expr":{"type":"numeric_atoms","value":2323,"base":11}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":4219,"base":11}}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":3214,"base":11}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1651,"base":11}}}}},"used_operators":["7j4O788W3g","Tw270M8GLb","dWAJyo7jo9","mqXw5SEYmG","Uaa54Peajs","eLxqMNBOBk","TpPTUOHfaN","DIvbN7qnHd","z63VuFQld9"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","k8jYdgA6NY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","9HNa5Wba9A","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=6505","layer":4},{"info":"number node, value=2323","layer":4},{"info":"compute binary expreesion, left_input=6505, right_input=2323, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=9167","layer":3},{"info":"number node, value=4219","layer":4},{"info":"compute unary expreesion, input=4219, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=9167, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=3214","layer":4},{"info":"compute unary expreesion, input=3214, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=1651","layer":4},{"info":"compute unary expreesion, input=1651, 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=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 = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⨰⫟⨤(⋰*⋻4984⫸⊐⋰*⋻1822)⪢(∂⋰*⋻3196))↺(⫓⪴((⋰*⋻2462⊠≄⫣)+⇶⊼(⋰*⋻1271∧)))=NaN","reverse_text":"NaN=(⨰⫟⨤(⋰*⋻4984⫸⊐⋰*⋻1822)⪢(∂⋰*⋻3196))↺(⫓⪴((⋰*⋻2462⊠≄⫣)+⇶⊼(⋰*⋻1271∧)))","cot":[{"info":"⋰*⋻4984⫸⊐⋰*⋻1822=⋰*⋻6984","layer":3},{"info":"∂⋰*⋻3196=NaN","layer":3},{"info":"⋰*⋻6984⪢NaN=NaN","layer":2},{"info":"⨰⫟⨤NaN=NaN","layer":1},{"info":"⋰*⋻2462⊠≄⫣=⋰*⋻0","layer":3},{"info":"⋰*⋻1271∧=NaN","layer":3},{"info":"⋰*⋻0+⇶⊼NaN=NaN","layer":2},{"info":"⫓⪴NaN=NaN","layer":1},{"info":"NaN↺NaN=NaN","layer":0}]}
{"id":474,"expression_no_base_symbol":"(($5182$⊭↱$6562$)⪛($4030$↺$1093$)⇋≉)⪛(((↔$2695$)⊭↱($4649$⨵⪆$2847$))⨐⩸⫘$4510$⇷$3170$⩚⊴⇥$4757$⨰$3618$)","expression":"((⋰*⋻3991⊭↱⋰*⋻4A26)⪛(⋰*⋻3034↺⋰*⋻904)⇋≉)⪛(((↔⋰*⋻2030)⊭↱(⋰*⋻3547⨵⪆⋰*⋻2159))⨐⩸⫘⋰*⋻3430⇷⋰*⋻2422⩚⊴⇥⋰*⋻3635⨰⋰*⋻279A)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":63190,"operation_count":12,"complexity_ratio":5265.833333333333,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":5182,"base":11},"right_expr":{"type":"numeric_atoms","value":6562,"base":11}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":4030,"base":11},"right_expr":{"type":"numeric_atoms","value":1093,"base":11}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2695,"base":11}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":4649,"base":11},"right_expr":{"type":"numeric_atoms","value":2847,"base":11}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4510,"base":11},"right_expr":{"type":"numeric_atoms","value":3170,"base":11}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4757,"base":11},"right_expr":{"type":"numeric_atoms","value":3618,"base":11}}}}},"used_operators":["uFcxV4UQCh","XIabStNQrY","COABgblf1C","7j4O788W3g","fu6greOZ01","ruOEQAzv1W","2DQ55sFlQl","NTOWxs364D","mp7IySMOzn","eewbuw0ToL"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5182","layer":4},{"info":"number node, value=6562","layer":4},{"info":"compute binary expreesion, left_input=5182, right_input=6562, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=2765","layer":3},{"info":"number node, value=4030","layer":4},{"info":"number node, value=1093","layer":4},{"info":"compute binary expreesion, left_input=4030, right_input=1093, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1093","layer":3},{"info":"compute binary expreesion, left_input=2765, right_input=1093, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=579","layer":2},{"info":"compute unary expreesion, input=579, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=1060","layer":1},{"info":"number node, value=2695","layer":4},{"info":"compute unary expreesion, input=2695, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2422","layer":3},{"info":"number node, value=4649","layer":4},{"info":"number node, value=2847","layer":4},{"info":"compute binary expreesion, left_input=4649, right_input=2847, 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=-2422, right_input=160, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=5169","layer":2},{"info":"number node, value=4510","layer":4},{"info":"number node, value=3170","layer":4},{"info":"compute binary expreesion, left_input=4510, right_input=3170, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6340","layer":3},{"info":"number node, value=4757","layer":4},{"info":"number node, value=3618","layer":4},{"info":"compute binary expreesion, left_input=4757, right_input=3618, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1149","layer":3},{"info":"compute binary expreesion, left_input=6340, right_input=1149, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7610","layer":2},{"info":"compute binary expreesion, left_input=5169, right_input=-7610, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=1060, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻3991⊭↱⋰*⋻4A26)⪛(⋰*⋻3034↺⋰*⋻904)⇋≉)⪛(((↔⋰*⋻2030)⊭↱(⋰*⋻3547⨵⪆⋰*⋻2159))⨐⩸⫘⋰*⋻3430⇷⋰*⋻2422⩚⊴⇥⋰*⋻3635⨰⋰*⋻279A)=NaN","reverse_text":"NaN=((⋰*⋻3991⊭↱⋰*⋻4A26)⪛(⋰*⋻3034↺⋰*⋻904)⇋≉)⪛(((↔⋰*⋻2030)⊭↱(⋰*⋻3547⨵⪆⋰*⋻2159))⨐⩸⫘⋰*⋻3430⇷⋰*⋻2422⩚⊴⇥⋰*⋻3635⨰⋰*⋻279A)","cot":[{"info":"⋰*⋻3991⊭↱⋰*⋻4A26=⋰*⋻2094","layer":3},{"info":"⋰*⋻3034↺⋰*⋻904=⋰*⋻904","layer":3},{"info":"⋰*⋻2094⪛⋰*⋻904=⋰*⋻487","layer":2},{"info":"⋰*⋻487⇋≉=⋰*⋻884","layer":1},{"info":"↔⋰*⋻2030=⋰*⋻-1902","layer":3},{"info":"⋰*⋻3547⨵⪆⋰*⋻2159=⋰*⋻136","layer":3},{"info":"⋰*⋻-1902⊭↱⋰*⋻136=⋰*⋻397A","layer":2},{"info":"⋰*⋻3430⇷⋰*⋻2422=⋰*⋻4844","layer":3},{"info":"⋰*⋻3635⨰⋰*⋻279A=⋰*⋻955","layer":3},{"info":"⋰*⋻4844⩚⊴⇥⋰*⋻955=⋰*⋻-5799","layer":2},{"info":"⋰*⋻397A⨐⩸⫘⋰*⋻-5799=NaN","layer":1},{"info":"⋰*⋻884⪛NaN=NaN","layer":0}]}
{"id":475,"expression_no_base_symbol":"(⨑⩽⪐($1102$⊉≛↸$1591$))⋝⋈⪟($3474$⪮%⊝$1319$⇋≉)⨽($2689$⨪↰⇹$1218$+($3023$⫌⩹⨱))≎⊠⪸((∂$2548$)⨎($3207$⨎$3739$))","expression":"(⨑⩽⪐(⋰*⋻912⊉≛↸⋰*⋻1217))⋝⋈⪟(⋰*⋻2679⪮%⊝⋰*⋻A9A⇋≉)⨽(⋰*⋻2025⨪↰⇹⋰*⋻A08+(⋰*⋻22A9⫌⩹⨱))≎⊠⪸((∂⋰*⋻1A07)⨎(⋰*⋻2456⨎⋰*⋻289A))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4931,"operation_count":13,"complexity_ratio":379.3076923076923,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1102,"base":11},"right_expr":{"type":"numeric_atoms","value":1591,"base":11}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3474,"base":11},"right_expr":{"type":"numeric_atoms","value":1319,"base":11}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2689,"base":11},"right_expr":{"type":"numeric_atoms","value":1218,"base":11}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":3023,"base":11}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2548,"base":11}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3207,"base":11},"right_expr":{"type":"numeric_atoms","value":3739,"base":11}}}}},"used_operators":["8HhzD0ZcuI","2DDjHMKMc0","AF7qkfDlqP","DZ8iAZOCBD","XIabStNQrY","IWmyXbctLI","bJkvcejdHO","W4YGzv6Whe","tmPS8pqC7x","EBcxylXtPf","rJVOvQCfKK","Uaa54Peajs"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"⋰*⋻-A838526","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1102","layer":4},{"info":"number node, value=1591","layer":4},{"info":"compute binary expreesion, left_input=1102, right_input=1591, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2204","layer":3},{"info":"compute unary expreesion, input=2204, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1931","layer":2},{"info":"number node, value=3474","layer":4},{"info":"number node, value=1319","layer":4},{"info":"compute binary expreesion, left_input=3474, right_input=1319, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=7264","layer":3},{"info":"compute unary expreesion, input=7264, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=14430","layer":2},{"info":"compute binary expreesion, left_input=-1931, right_input=14430, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-1931","layer":1},{"info":"number node, value=2689","layer":4},{"info":"number node, value=1218","layer":4},{"info":"compute binary expreesion, left_input=2689, right_input=1218, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2689","layer":3},{"info":"number node, value=3023","layer":4},{"info":"compute unary expreesion, input=3023, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=7447","layer":3},{"info":"compute binary expreesion, left_input=2689, right_input=7447, op_id = W4YGzv6Whe binary_op_definition= 'None', output=10136","layer":2},{"info":"number node, value=2548","layer":4},{"info":"compute unary expreesion, input=2548, 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=3207","layer":4},{"info":"number node, value=3739","layer":4},{"info":"compute binary expreesion, left_input=3207, right_input=3739, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3739","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3739, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3739","layer":2},{"info":"compute binary expreesion, left_input=10136, right_input=3739, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=2624751","layer":1},{"info":"compute binary expreesion, left_input=-1931, right_input=2624751, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-19059222","layer":0}],"base":11,"result_base":11,"text":"(⨑⩽⪐(⋰*⋻912⊉≛↸⋰*⋻1217))⋝⋈⪟(⋰*⋻2679⪮%⊝⋰*⋻A9A⇋≉)⨽(⋰*⋻2025⨪↰⇹⋰*⋻A08+(⋰*⋻22A9⫌⩹⨱))≎⊠⪸((∂⋰*⋻1A07)⨎(⋰*⋻2456⨎⋰*⋻289A))=⋰*⋻-A838526","reverse_text":"⋰*⋻-A838526=(⨑⩽⪐(⋰*⋻912⊉≛↸⋰*⋻1217))⋝⋈⪟(⋰*⋻2679⪮%⊝⋰*⋻A9A⇋≉)⨽(⋰*⋻2025⨪↰⇹⋰*⋻A08+(⋰*⋻22A9⫌⩹⨱))≎⊠⪸((∂⋰*⋻1A07)⨎(⋰*⋻2456⨎⋰*⋻289A))","cot":[{"info":"⋰*⋻912⊉≛↸⋰*⋻1217=⋰*⋻1724","layer":3},{"info":"⨑⩽⪐⋰*⋻1724=⋰*⋻-14A6","layer":2},{"info":"⋰*⋻2679⪮%⊝⋰*⋻A9A=⋰*⋻5504","layer":3},{"info":"⋰*⋻5504⇋≉=⋰*⋻A929","layer":2},{"info":"⋰*⋻-14A6⋝⋈⪟⋰*⋻A929=⋰*⋻-14A6","layer":1},{"info":"⋰*⋻2025⨪↰⇹⋰*⋻A08=⋰*⋻2025","layer":3},{"info":"⋰*⋻22A9⫌⩹⨱=⋰*⋻5660","layer":3},{"info":"⋰*⋻2025+⋰*⋻5660=⋰*⋻7685","layer":2},{"info":"∂⋰*⋻1A07=NaN","layer":3},{"info":"⋰*⋻2456⨎⋰*⋻289A=⋰*⋻289A","layer":3},{"info":"NaN⨎⋰*⋻289A=⋰*⋻289A","layer":2},{"info":"⋰*⋻7685≎⊠⪸⋰*⋻289A=⋰*⋻1533018","layer":1},{"info":"⋰*⋻-14A6⨽⋰*⋻1533018=⋰*⋻-A838526","layer":0}]}
{"id":476,"expression_no_base_symbol":"≤/((⨵≀≌$2115$)⨐⩸⫘($1700$%$3282$))∑⇟⊟($1304$≧⫂∧$5171$≋⫹)","expression":"≤/((⨵≀≌⋰*⋻1653)⨐⩸⫘(⋰*⋻1306%⋰*⋻2514))∑⇟⊟(⋰*⋻A86≧⫂∧⋰*⋻3981≋⫹)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":11,"operation_count":7,"complexity_ratio":1.5714285714285714,"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":2115,"base":11}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1700,"base":11},"right_expr":{"type":"numeric_atoms","value":3282,"base":11}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1304,"base":11},"right_expr":{"type":"numeric_atoms","value":5171,"base":11}}}}},"used_operators":["eLAdDNolq6","U7g4x0WXJJ","fu6greOZ01","srAu1WTS94","k8jYdgA6NY","N41Kp7NANJ","Ph9nP6C5qx"],"dependent_operators":["rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","3ViojmjbAp","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2115","layer":4},{"info":"compute unary expreesion, input=2115, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-6345","layer":3},{"info":"number node, value=1700","layer":4},{"info":"number node, value=3282","layer":4},{"info":"compute binary expreesion, left_input=1700, right_input=3282, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1700","layer":3},{"info":"compute binary expreesion, left_input=-6345, right_input=1700, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=1304","layer":4},{"info":"number node, value=5171","layer":4},{"info":"compute binary expreesion, left_input=1304, right_input=5171, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4698","layer":3},{"info":"compute unary expreesion, input=4698, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-9396","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-9396, 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 = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"≤/((⨵≀≌⋰*⋻1653)⨐⩸⫘(⋰*⋻1306%⋰*⋻2514))∑⇟⊟(⋰*⋻A86≧⫂∧⋰*⋻3981≋⫹)=NaN","reverse_text":"NaN=≤/((⨵≀≌⋰*⋻1653)⨐⩸⫘(⋰*⋻1306%⋰*⋻2514))∑⇟⊟(⋰*⋻A86≧⫂∧⋰*⋻3981≋⫹)","cot":[{"info":"⨵≀≌⋰*⋻1653=⋰*⋻-4849","layer":3},{"info":"⋰*⋻1306%⋰*⋻2514=⋰*⋻1306","layer":3},{"info":"⋰*⋻-4849⨐⩸⫘⋰*⋻1306=NaN","layer":2},{"info":"⋰*⋻A86≧⫂∧⋰*⋻3981=⋰*⋻3591","layer":3},{"info":"⋰*⋻3591≋⫹=⋰*⋻-7072","layer":2},{"info":"NaN∑⇟⊟⋰*⋻-7072=NaN","layer":1},{"info":"≤/NaN=NaN","layer":0}]}
{"id":477,"expression_no_base_symbol":"($3084$⨓$6633$⩷∴($1225$-$2576$)⫡⨏(($1498$⪒$8567$)≦≮≮))↺($1541$⨳⩥⨓$1661$/($7477$≦≮≮))⩚⊴⇥$1313$∑⇟⊟$4169$⋝⋈⪟($4048$⪄$1379$)","expression":"(⋰*⋻2354⨓⋰*⋻4A90⩷∴(⋰*⋻A14-⋰*⋻1A32)⫡⨏((⋰*⋻1142⪒⋰*⋻6489)≦≮≮))↺(⋰*⋻1181⨳⩥⨓⋰*⋻1280/(⋰*⋻5688≦≮≮))⩚⊴⇥⋰*⋻A94∑⇟⊟⋰*⋻3150⋝⋈⪟(⋰*⋻3050⪄⋰*⋻1044)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6770,"operation_count":14,"complexity_ratio":483.57142857142856,"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":3084,"base":11},"right_expr":{"type":"numeric_atoms","value":6633,"base":11}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1225,"base":11},"right_expr":{"type":"numeric_atoms","value":2576,"base":11}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1498,"base":11},"right_expr":{"type":"numeric_atoms","value":8567,"base":11}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1541,"base":11},"right_expr":{"type":"numeric_atoms","value":1661,"base":11}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":7477,"base":11}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1313,"base":11},"right_expr":{"type":"numeric_atoms","value":4169,"base":11}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4048,"base":11},"right_expr":{"type":"numeric_atoms","value":1379,"base":11}}}}},"used_operators":["7j4O788W3g","QMFrweE19q","9FxExcQeMw","3ViojmjbAp","rysDP5nf3Z","D4vGDi5EA2","f6k1SAg4EE","NTOWxs364D","XhwjNDsVaA","nCS4ZIUYfx","2DDjHMKMc0","U7g4x0WXJJ","SUmda5xLS4"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3084","layer":4},{"info":"number node, value=6633","layer":4},{"info":"compute binary expreesion, left_input=3084, right_input=6633, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-6636","layer":3},{"info":"number node, value=1225","layer":4},{"info":"number node, value=2576","layer":4},{"info":"compute binary expreesion, left_input=1225, right_input=2576, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1351","layer":3},{"info":"compute binary expreesion, left_input=-6636, right_input=-1351, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-10602","layer":2},{"info":"number node, value=1498","layer":4},{"info":"number node, value=8567","layer":4},{"info":"compute binary expreesion, left_input=1498, right_input=8567, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-10065","layer":3},{"info":"compute unary expreesion, input=-10065, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=30195","layer":2},{"info":"compute binary expreesion, left_input=-10602, right_input=30195, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=8163","layer":1},{"info":"number node, value=1541","layer":4},{"info":"number node, value=1661","layer":4},{"info":"compute binary expreesion, left_input=1541, right_input=1661, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=120","layer":3},{"info":"number node, value=7477","layer":4},{"info":"compute unary expreesion, input=7477, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-22431","layer":3},{"info":"compute binary expreesion, left_input=120, right_input=-22431, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":2},{"info":"number node, value=1313","layer":4},{"info":"number node, value=4169","layer":4},{"info":"compute binary expreesion, left_input=1313, right_input=4169, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=4048","layer":4},{"info":"number node, value=1379","layer":4},{"info":"compute binary expreesion, left_input=4048, right_input=1379, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-600709","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-600709, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=8163, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻2354⨓⋰*⋻4A90⩷∴(⋰*⋻A14-⋰*⋻1A32)⫡⨏((⋰*⋻1142⪒⋰*⋻6489)≦≮≮))↺(⋰*⋻1181⨳⩥⨓⋰*⋻1280/(⋰*⋻5688≦≮≮))⩚⊴⇥⋰*⋻A94∑⇟⊟⋰*⋻3150⋝⋈⪟(⋰*⋻3050⪄⋰*⋻1044)=NaN","reverse_text":"NaN=(⋰*⋻2354⨓⋰*⋻4A90⩷∴(⋰*⋻A14-⋰*⋻1A32)⫡⨏((⋰*⋻1142⪒⋰*⋻6489)≦≮≮))↺(⋰*⋻1181⨳⩥⨓⋰*⋻1280/(⋰*⋻5688≦≮≮))⩚⊴⇥⋰*⋻A94∑⇟⊟⋰*⋻3150⋝⋈⪟(⋰*⋻3050⪄⋰*⋻1044)","cot":[{"info":"⋰*⋻2354⨓⋰*⋻4A90=⋰*⋻-4A93","layer":3},{"info":"⋰*⋻A14-⋰*⋻1A32=⋰*⋻-1019","layer":3},{"info":"⋰*⋻-4A93⩷∴⋰*⋻-1019=⋰*⋻-7A69","layer":2},{"info":"⋰*⋻1142⪒⋰*⋻6489=⋰*⋻-7620","layer":3},{"info":"⋰*⋻-7620≦≮≮=⋰*⋻20760","layer":2},{"info":"⋰*⋻-7A69⫡⨏⋰*⋻20760=⋰*⋻6151","layer":1},{"info":"⋰*⋻1181⨳⩥⨓⋰*⋻1280=⋰*⋻AA","layer":3},{"info":"⋰*⋻5688≦≮≮=⋰*⋻-15942","layer":3},{"info":"⋰*⋻AA/⋰*⋻-15942=⋰*⋻-1","layer":2},{"info":"⋰*⋻A94∑⇟⊟⋰*⋻3150=NaN","layer":3},{"info":"⋰*⋻3050⪄⋰*⋻1044=⋰*⋻-38035A","layer":3},{"info":"NaN⋝⋈⪟⋰*⋻-38035A=NaN","layer":2},{"info":"⋰*⋻-1⩚⊴⇥NaN=NaN","layer":1},{"info":"⋰*⋻6151↺NaN=NaN","layer":0}]}
{"id":478,"expression_no_base_symbol":"(⫓⪴($7487$⋷$1576$))⩚⊴⇥(($3131$∸)⊠≄⫣)⪄(∂(≉$1181$)≹⇙⪍($1720$⋥≓≎$1036$))","expression":"(⫓⪴(⋰*⋻5697⋷⋰*⋻1203))⩚⊴⇥((⋰*⋻2397∸)⊠≄⫣)⪄(∂(≉⋰*⋻984)≹⇙⪍(⋰*⋻1324⋥≓≎⋰*⋻862))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":153074,"operation_count":10,"complexity_ratio":15307.4,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":7487,"base":11},"right_expr":{"type":"numeric_atoms","value":1576,"base":11}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":3131,"base":11}}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1181,"base":11}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1720,"base":11},"right_expr":{"type":"numeric_atoms","value":1036,"base":11}}}}},"used_operators":["SUmda5xLS4","NTOWxs364D","eLxqMNBOBk","23Mk6UjR3U","DIvbN7qnHd","o20kRiQErp","Uaa54Peajs","AHs5Up7iyr","e1ybzncUwg","Qy55tPpLXF"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⋰*⋻2A98","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7487","layer":4},{"info":"number node, value=1576","layer":4},{"info":"compute binary expreesion, left_input=7487, right_input=1576, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-4335","layer":3},{"info":"compute unary expreesion, input=-4335, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=18792225","layer":2},{"info":"number node, value=3131","layer":4},{"info":"compute unary expreesion, input=3131, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute unary expreesion, input=177, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=18792225, right_input=0, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-18792346","layer":1},{"info":"number node, value=1181","layer":4},{"info":"compute unary expreesion, input=1181, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1712","layer":3},{"info":"number node, value=1720","layer":4},{"info":"number node, value=1036","layer":4},{"info":"compute binary expreesion, left_input=1720, right_input=1036, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=385","layer":3},{"info":"compute binary expreesion, left_input=1712, right_input=385, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-18792346, 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":11,"result_base":11,"text":"(⫓⪴(⋰*⋻5697⋷⋰*⋻1203))⩚⊴⇥((⋰*⋻2397∸)⊠≄⫣)⪄(∂(≉⋰*⋻984)≹⇙⪍(⋰*⋻1324⋥≓≎⋰*⋻862))=⋰*⋻2A98","reverse_text":"⋰*⋻2A98=(⫓⪴(⋰*⋻5697⋷⋰*⋻1203))⩚⊴⇥((⋰*⋻2397∸)⊠≄⫣)⪄(∂(≉⋰*⋻984)≹⇙⪍(⋰*⋻1324⋥≓≎⋰*⋻862))","cot":[{"info":"⋰*⋻5697⋷⋰*⋻1203=⋰*⋻-3291","layer":3},{"info":"⫓⪴⋰*⋻-3291=⋰*⋻A675971","layer":2},{"info":"⋰*⋻2397∸=⋰*⋻151","layer":3},{"info":"⋰*⋻151⊠≄⫣=⋰*⋻0","layer":2},{"info":"⋰*⋻A675971⩚⊴⇥⋰*⋻0=⋰*⋻-A675A71","layer":1},{"info":"≉⋰*⋻984=⋰*⋻1317","layer":3},{"info":"⋰*⋻1324⋥≓≎⋰*⋻862=⋰*⋻320","layer":3},{"info":"⋰*⋻1317≹⇙⪍⋰*⋻320=NaN","layer":2},{"info":"∂NaN=NaN","layer":1},{"info":"⋰*⋻-A675A71⪄NaN=⋰*⋻2A98","layer":0}]}
{"id":479,"expression_no_base_symbol":"(∥⊫($4179$⪨≂$3560$)⫥∨⫟$5663$≭$4518$)⋝⋈⪟((($4754$*$3368$)⫩⊇)⨁⊸⫻)","expression":"(∥⊫(⋰*⋻315A⪨≂⋰*⋻2747)⫥∨⫟⋰*⋻4289≭⋰*⋻3438)⋝⋈⪟(((⋰*⋻3632*⋰*⋻2592)⫩⊇)⨁⊸⫻)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3539,"operation_count":8,"complexity_ratio":442.375,"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":4179,"base":11},"right_expr":{"type":"numeric_atoms","value":3560,"base":11}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":5663,"base":11},"right_expr":{"type":"numeric_atoms","value":4518,"base":11}}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4754,"base":11},"right_expr":{"type":"numeric_atoms","value":3368,"base":11}}}}},"used_operators":["2DDjHMKMc0","P8v4zCKN1o","KYD54nUTWz","sdazOOVcIp","rxpJgHHUmx","glklzrTFfD","BjRHVeLaeN","9HNa5Wba9A"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4179","layer":4},{"info":"number node, value=3560","layer":4},{"info":"compute binary expreesion, left_input=4179, right_input=3560, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=1340","layer":3},{"info":"number node, value=5663","layer":4},{"info":"number node, value=4518","layer":4},{"info":"compute binary expreesion, left_input=5663, right_input=4518, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=1340, 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 = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":1},{"info":"number node, value=4754","layer":4},{"info":"number node, value=3368","layer":4},{"info":"compute binary expreesion, left_input=4754, right_input=3368, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=16011472","layer":3},{"info":"compute unary expreesion, input=16011472, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-16011430","layer":2},{"info":"compute unary expreesion, input=-16011430, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=-32022860","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-32022860, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(∥⊫(⋰*⋻315A⪨≂⋰*⋻2747)⫥∨⫟⋰*⋻4289≭⋰*⋻3438)⋝⋈⪟(((⋰*⋻3632*⋰*⋻2592)⫩⊇)⨁⊸⫻)=NaN","reverse_text":"NaN=(∥⊫(⋰*⋻315A⪨≂⋰*⋻2747)⫥∨⫟⋰*⋻4289≭⋰*⋻3438)⋝⋈⪟(((⋰*⋻3632*⋰*⋻2592)⫩⊇)⨁⊸⫻)","cot":[{"info":"⋰*⋻315A⪨≂⋰*⋻2747=⋰*⋻1009","layer":3},{"info":"⋰*⋻4289≭⋰*⋻3438=NaN","layer":3},{"info":"⋰*⋻1009⫥∨⫟NaN=NaN","layer":2},{"info":"∥⊫NaN=NaN","layer":1},{"info":"⋰*⋻3632*⋰*⋻2592=⋰*⋻9046724","layer":3},{"info":"⋰*⋻9046724⫩⊇=⋰*⋻-9046696","layer":2},{"info":"⋰*⋻-9046696⨁⊸⫻=⋰*⋻-17092281","layer":1},{"info":"NaN⋝⋈⪟⋰*⋻-17092281=NaN","layer":0}]}
{"id":480,"expression_no_base_symbol":"($1063$⨳⩥⨓$4282$⪒$5032$*$3422$)⩷∴($2631$⨸⪁$6241$⨸⪁($1464$⨸⪁$5426$))⫥∨⫟(((⨵≀≌$4135$)⫸⊐($1386$∸))⫸⊐(⊥($7661$⪠⩆⊳)))","expression":"(⋰*⋻887⨳⩥⨓⋰*⋻3243⪒⋰*⋻3865*⋰*⋻2631)⩷∴(⋰*⋻1A82⨸⪁⋰*⋻4764⨸⪁(⋰*⋻1111⨸⪁⋰*⋻4093))⫥∨⫟(((⨵≀≌⋰*⋻311A)⫸⊐(⋰*⋻1050∸))⫸⊐(⊥(⋰*⋻5835⪠⩆⊳)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3812,"operation_count":14,"complexity_ratio":272.2857142857143,"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":1063,"base":11},"right_expr":{"type":"numeric_atoms","value":4282,"base":11}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":5032,"base":11},"right_expr":{"type":"numeric_atoms","value":3422,"base":11}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2631,"base":11},"right_expr":{"type":"numeric_atoms","value":6241,"base":11}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1464,"base":11},"right_expr":{"type":"numeric_atoms","value":5426,"base":11}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":4135,"base":11}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":1386,"base":11}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":7661,"base":11}}}}},"used_operators":["KYD54nUTWz","9FxExcQeMw","f6k1SAg4EE","nCS4ZIUYfx","9HNa5Wba9A","g55IO6H4Gj","mqXw5SEYmG","srAu1WTS94","o20kRiQErp","Q3PJZHRvZv","JLbD19bQDL"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","W4YGzv6Whe","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","tmPS8pqC7x","fu6greOZ01","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1063","layer":4},{"info":"number node, value=4282","layer":4},{"info":"compute binary expreesion, left_input=1063, right_input=4282, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=3219","layer":3},{"info":"number node, value=5032","layer":4},{"info":"number node, value=3422","layer":4},{"info":"compute binary expreesion, left_input=5032, right_input=3422, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=17219504","layer":3},{"info":"compute binary expreesion, left_input=3219, right_input=17219504, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-17222723","layer":2},{"info":"number node, value=2631","layer":4},{"info":"number node, value=6241","layer":4},{"info":"compute binary expreesion, left_input=2631, right_input=6241, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=17744","layer":3},{"info":"number node, value=1464","layer":4},{"info":"number node, value=5426","layer":4},{"info":"compute binary expreesion, left_input=1464, right_input=5426, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=13780","layer":3},{"info":"compute binary expreesion, left_input=17744, right_input=13780, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=63048","layer":2},{"info":"compute binary expreesion, left_input=-17222723, right_input=63048, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-34571574","layer":1},{"info":"number node, value=4135","layer":4},{"info":"compute unary expreesion, input=4135, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-12405","layer":3},{"info":"number node, value=1386","layer":4},{"info":"compute unary expreesion, input=1386, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=-12405, right_input=177, 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=7661","layer":4},{"info":"compute unary expreesion, input=7661, 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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=968, 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":1},{"info":"compute binary expreesion, left_input=-34571574, right_input=-125, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻887⨳⩥⨓⋰*⋻3243⪒⋰*⋻3865*⋰*⋻2631)⩷∴(⋰*⋻1A82⨸⪁⋰*⋻4764⨸⪁(⋰*⋻1111⨸⪁⋰*⋻4093))⫥∨⫟(((⨵≀≌⋰*⋻311A)⫸⊐(⋰*⋻1050∸))⫸⊐(⊥(⋰*⋻5835⪠⩆⊳)))=NaN","reverse_text":"NaN=(⋰*⋻887⨳⩥⨓⋰*⋻3243⪒⋰*⋻3865*⋰*⋻2631)⩷∴(⋰*⋻1A82⨸⪁⋰*⋻4764⨸⪁(⋰*⋻1111⨸⪁⋰*⋻4093))⫥∨⫟(((⨵≀≌⋰*⋻311A)⫸⊐(⋰*⋻1050∸))⫸⊐(⊥(⋰*⋻5835⪠⩆⊳)))","cot":[{"info":"⋰*⋻887⨳⩥⨓⋰*⋻3243=⋰*⋻2467","layer":3},{"info":"⋰*⋻3865*⋰*⋻2631=⋰*⋻97A12A5","layer":3},{"info":"⋰*⋻2467⪒⋰*⋻97A12A5=⋰*⋻-97A3761","layer":2},{"info":"⋰*⋻1A82⨸⪁⋰*⋻4764=⋰*⋻12371","layer":3},{"info":"⋰*⋻1111⨸⪁⋰*⋻4093=⋰*⋻A398","layer":3},{"info":"⋰*⋻12371⨸⪁⋰*⋻A398=⋰*⋻43407","layer":2},{"info":"⋰*⋻-97A3761⩷∴⋰*⋻43407=⋰*⋻-18573154","layer":1},{"info":"⨵≀≌⋰*⋻311A=⋰*⋻-9358","layer":3},{"info":"⋰*⋻1050∸=⋰*⋻151","layer":3},{"info":"⋰*⋻-9358⫸⊐⋰*⋻151=⋰*⋻800","layer":2},{"info":"⋰*⋻5835⪠⩆⊳=⋰*⋻0","layer":3},{"info":"⊥⋰*⋻0=⋰*⋻0","layer":2},{"info":"⋰*⋻800⫸⊐⋰*⋻0=⋰*⋻-104","layer":1},{"info":"⋰*⋻-18573154⫥∨⫟⋰*⋻-104=NaN","layer":0}]}
{"id":481,"expression_no_base_symbol":"$4573$⪛$1308$⨐⩸⫘$6690$≭$1920$⪨≂($5820$⋝⋈⪟$1442$)≹⇙⪍($4489$⩷∴$3054$)⫡⨏($4886$⪘⫢$4460$⋳⪒($1306$↺$5771$)/(⨰⫟⨤$1211$≹⇙⪍$9187$))","expression":"⋰*⋻3488⪛⋰*⋻A8A⨐⩸⫘⋰*⋻5032≭⋰*⋻1496⪨≂(⋰*⋻4411⋝⋈⪟⋰*⋻10A1)≹⇙⪍(⋰*⋻3411⩷∴⋰*⋻2327)⫡⨏(⋰*⋻3742⪘⫢⋰*⋻3395⋳⪒(⋰*⋻A88↺⋰*⋻4377)/(⨰⫟⨤⋰*⋻A01≹⇙⪍⋰*⋻69A2))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":85,"operation_count":14,"complexity_ratio":6.071428571428571,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":4573,"base":11},"right_expr":{"type":"numeric_atoms","value":1308,"base":11}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":6690,"base":11},"right_expr":{"type":"numeric_atoms","value":1920,"base":11}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":5820,"base":11},"right_expr":{"type":"numeric_atoms","value":1442,"base":11}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4489,"base":11},"right_expr":{"type":"numeric_atoms","value":3054,"base":11}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4886,"base":11},"right_expr":{"type":"numeric_atoms","value":4460,"base":11}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1306,"base":11},"right_expr":{"type":"numeric_atoms","value":5771,"base":11}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1211,"base":11},"right_expr":{"type":"numeric_atoms","value":9187,"base":11}}}}},"used_operators":["QMFrweE19q","sdazOOVcIp","fu6greOZ01","uFcxV4UQCh","rxpJgHHUmx","AHs5Up7iyr","2DDjHMKMc0","9FxExcQeMw","XhwjNDsVaA","12rbrZMWeM","oacrs7FA3X","7j4O788W3g","Tw270M8GLb"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","AHs5Up7iyr","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=4573","layer":4},{"info":"number node, value=1308","layer":4},{"info":"compute binary expreesion, left_input=4573, right_input=1308, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=649","layer":3},{"info":"number node, value=6690","layer":4},{"info":"number node, value=1920","layer":4},{"info":"compute binary expreesion, left_input=6690, right_input=1920, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=649, 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=5820","layer":4},{"info":"number node, value=1442","layer":4},{"info":"compute binary expreesion, left_input=5820, right_input=1442, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5820","layer":3},{"info":"number node, value=4489","layer":4},{"info":"number node, value=3054","layer":4},{"info":"compute binary expreesion, left_input=4489, right_input=3054, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2838","layer":3},{"info":"compute binary expreesion, left_input=5820, right_input=2838, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = 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=4886","layer":4},{"info":"number node, value=4460","layer":4},{"info":"compute binary expreesion, left_input=4886, right_input=4460, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=9648","layer":3},{"info":"number node, value=1306","layer":4},{"info":"number node, value=5771","layer":4},{"info":"compute binary expreesion, left_input=1306, right_input=5771, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5771","layer":3},{"info":"compute binary expreesion, left_input=9648, right_input=5771, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=13238","layer":2},{"info":"number node, value=1211","layer":4},{"info":"number node, value=9187","layer":4},{"info":"compute binary expreesion, left_input=1211, right_input=9187, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=13238, 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 = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⋰*⋻3488⪛⋰*⋻A8A⨐⩸⫘⋰*⋻5032≭⋰*⋻1496⪨≂(⋰*⋻4411⋝⋈⪟⋰*⋻10A1)≹⇙⪍(⋰*⋻3411⩷∴⋰*⋻2327)⫡⨏(⋰*⋻3742⪘⫢⋰*⋻3395⋳⪒(⋰*⋻A88↺⋰*⋻4377)/(⨰⫟⨤⋰*⋻A01≹⇙⪍⋰*⋻69A2))=NaN","reverse_text":"NaN=⋰*⋻3488⪛⋰*⋻A8A⨐⩸⫘⋰*⋻5032≭⋰*⋻1496⪨≂(⋰*⋻4411⋝⋈⪟⋰*⋻10A1)≹⇙⪍(⋰*⋻3411⩷∴⋰*⋻2327)⫡⨏(⋰*⋻3742⪘⫢⋰*⋻3395⋳⪒(⋰*⋻A88↺⋰*⋻4377)/(⨰⫟⨤⋰*⋻A01≹⇙⪍⋰*⋻69A2))","cot":[{"info":"⋰*⋻3488⪛⋰*⋻A8A=⋰*⋻540","layer":3},{"info":"⋰*⋻5032≭⋰*⋻1496=NaN","layer":3},{"info":"⋰*⋻540⨐⩸⫘NaN=NaN","layer":2},{"info":"⋰*⋻4411⋝⋈⪟⋰*⋻10A1=⋰*⋻4411","layer":3},{"info":"⋰*⋻3411⩷∴⋰*⋻2327=⋰*⋻2150","layer":3},{"info":"⋰*⋻4411≹⇙⪍⋰*⋻2150=NaN","layer":2},{"info":"NaN⪨≂NaN=NaN","layer":1},{"info":"⋰*⋻3742⪘⫢⋰*⋻3395=⋰*⋻7281","layer":3},{"info":"⋰*⋻A88↺⋰*⋻4377=⋰*⋻4377","layer":3},{"info":"⋰*⋻7281⋳⪒⋰*⋻4377=⋰*⋻9A45","layer":2},{"info":"⋰*⋻A01≹⇙⪍⋰*⋻69A2=NaN","layer":3},{"info":"⨰⫟⨤NaN=NaN","layer":2},{"info":"⋰*⋻9A45/NaN=NaN","layer":1},{"info":"NaN⫡⨏NaN=NaN","layer":0}]}
{"id":482,"expression_no_base_symbol":"((($4419$⩠)⫡⨏$1438$⪄$4526$)↬($7684$⇼⇔∾$1387$)⪘⫢(⊙↵-$1762$))⪮%⊝(((⊄⩳↩$1680$)-$4372$⪒$1142$)⊭↱(($2826$≦≮≮)⊠≄⫣))","expression":"(((⋰*⋻3358⩠)⫡⨏⋰*⋻1098⪄⋰*⋻3445)↬(⋰*⋻5856⇼⇔∾⋰*⋻1051)⪘⫢(⊙↵-⋰*⋻1362))⪮%⊝(((⊄⩳↩⋰*⋻1298)-⋰*⋻3315⪒⋰*⋻949)⊭↱((⋰*⋻213A≦≮≮)⊠≄⫣))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1968,"operation_count":14,"complexity_ratio":140.57142857142858,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":4419,"base":11}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1438,"base":11},"right_expr":{"type":"numeric_atoms","value":4526,"base":11}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":7684,"base":11},"right_expr":{"type":"numeric_atoms","value":1387,"base":11}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1762,"base":11}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1680,"base":11}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":4372,"base":11},"right_expr":{"type":"numeric_atoms","value":1142,"base":11}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":2826,"base":11}}}}},"used_operators":["IWmyXbctLI","B5M0gjZbta","QMFrweE19q","sJAwomhLZr","SUmda5xLS4","oacrs7FA3X","tifHPKVTfV","oWn0xqSxBt","COABgblf1C","rysDP5nf3Z","8w2t5hMYqp","f6k1SAg4EE","DIvbN7qnHd","D4vGDi5EA2"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4419","layer":4},{"info":"compute unary expreesion, input=4419, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=1438","layer":4},{"info":"number node, value=4526","layer":4},{"info":"compute binary expreesion, left_input=1438, right_input=4526, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-227017","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-227017, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-453251","layer":2},{"info":"number node, value=7684","layer":4},{"info":"number node, value=1387","layer":4},{"info":"compute binary expreesion, left_input=7684, right_input=1387, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-6297","layer":3},{"info":"number node, value=1762","layer":4},{"info":"compute unary expreesion, input=1762, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=-6297, 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=-453251, right_input=-1, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1680","layer":4},{"info":"compute unary expreesion, input=1680, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-5040","layer":3},{"info":"number node, value=4372","layer":4},{"info":"number node, value=1142","layer":4},{"info":"compute binary expreesion, left_input=4372, right_input=1142, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5514","layer":3},{"info":"compute binary expreesion, left_input=-5040, right_input=-5514, op_id = rysDP5nf3Z binary_op_definition= 'None', output=474","layer":2},{"info":"number node, value=2826","layer":4},{"info":"compute unary expreesion, input=2826, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-8478","layer":3},{"info":"compute unary expreesion, input=-8478, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=474, right_input=0, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-943","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-943, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻3358⩠)⫡⨏⋰*⋻1098⪄⋰*⋻3445)↬(⋰*⋻5856⇼⇔∾⋰*⋻1051)⪘⫢(⊙↵-⋰*⋻1362))⪮%⊝(((⊄⩳↩⋰*⋻1298)-⋰*⋻3315⪒⋰*⋻949)⊭↱((⋰*⋻213A≦≮≮)⊠≄⫣))=NaN","reverse_text":"NaN=(((⋰*⋻3358⩠)⫡⨏⋰*⋻1098⪄⋰*⋻3445)↬(⋰*⋻5856⇼⇔∾⋰*⋻1051)⪘⫢(⊙↵-⋰*⋻1362))⪮%⊝(((⊄⩳↩⋰*⋻1298)-⋰*⋻3315⪒⋰*⋻949)⊭↱((⋰*⋻213A≦≮≮)⊠≄⫣))","cot":[{"info":"⋰*⋻3358⩠=⋰*⋻0","layer":3},{"info":"⋰*⋻1098⪄⋰*⋻3445=⋰*⋻-14561A","layer":3},{"info":"⋰*⋻0⫡⨏⋰*⋻-14561A=⋰*⋻-28A597","layer":2},{"info":"⋰*⋻5856⇼⇔∾⋰*⋻1051=⋰*⋻-4805","layer":3},{"info":"⊙↵-⋰*⋻1362=⋰*⋻-1","layer":3},{"info":"⋰*⋻-4805⪘⫢⋰*⋻-1=⋰*⋻-1","layer":2},{"info":"⋰*⋻-28A597↬⋰*⋻-1=NaN","layer":1},{"info":"⊄⩳↩⋰*⋻1298=⋰*⋻-3872","layer":3},{"info":"⋰*⋻3315⪒⋰*⋻949=⋰*⋻-4163","layer":3},{"info":"⋰*⋻-3872-⋰*⋻-4163=⋰*⋻3A1","layer":2},{"info":"⋰*⋻213A≦≮≮=⋰*⋻-6408","layer":3},{"info":"⋰*⋻-6408⊠≄⫣=⋰*⋻0","layer":2},{"info":"⋰*⋻3A1⊭↱⋰*⋻0=⋰*⋻-788","layer":1},{"info":"NaN⪮%⊝⋰*⋻-788=NaN","layer":0}]}
{"id":483,"expression_no_base_symbol":"((($5053$⪄$2206$)≣⋋)+$2267$⪛$2837$⊭↱($1373$⩤))⪘⫢(($3686$⋓$2049$⪨≂($4692$⨵⪆$1031$))∲⫓$2004$≭$3869$⊭↱(⫓⪴$5928$))","expression":"(((⋰*⋻3884⪄⋰*⋻1726)≣⋋)+⋰*⋻1781⪛⋰*⋻214A⊭↱(⋰*⋻1039⩤))⪘⫢((⋰*⋻2851⋓⋰*⋻15A3⪨≂(⋰*⋻3586⨵⪆⋰*⋻858))∲⫓⋰*⋻1562≭⋰*⋻29A8⊭↱(⫓⪴⋰*⋻44AA))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6586,"operation_count":14,"complexity_ratio":470.42857142857144,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":5053,"base":11},"right_expr":{"type":"numeric_atoms","value":2206,"base":11}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2267,"base":11},"right_expr":{"type":"numeric_atoms","value":2837,"base":11}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1373,"base":11}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3686,"base":11},"right_expr":{"type":"numeric_atoms","value":2049,"base":11}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":4692,"base":11},"right_expr":{"type":"numeric_atoms","value":1031,"base":11}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2004,"base":11},"right_expr":{"type":"numeric_atoms","value":3869,"base":11}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":5928,"base":11}}}}},"used_operators":["oacrs7FA3X","W4YGzv6Whe","Tcnh7f0tEr","SUmda5xLS4","COABgblf1C","uFcxV4UQCh","Z2TMIBDE3Q","i8ToyICDmI","sdazOOVcIp","T2fj7uvVaJ","2DQ55sFlQl","rxpJgHHUmx","eLxqMNBOBk"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5053","layer":4},{"info":"number node, value=2206","layer":4},{"info":"compute binary expreesion, left_input=5053, right_input=2206, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-752757","layer":3},{"info":"compute unary expreesion, input=-752757, 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=2267","layer":4},{"info":"number node, value=2837","layer":4},{"info":"compute binary expreesion, left_input=2267, right_input=2837, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2267","layer":3},{"info":"number node, value=1373","layer":4},{"info":"compute unary expreesion, input=1373, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1373","layer":3},{"info":"compute binary expreesion, left_input=2267, right_input=-1373, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-7275","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-7275, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-7275","layer":1},{"info":"number node, value=3686","layer":4},{"info":"number node, value=2049","layer":4},{"info":"compute binary expreesion, left_input=3686, right_input=2049, op_id = T2fj7uvVaJ binary_op_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=4692","layer":4},{"info":"number node, value=1031","layer":4},{"info":"compute binary expreesion, left_input=4692, right_input=1031, 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 = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-218","layer":2},{"info":"number node, value=2004","layer":4},{"info":"number node, value=3869","layer":4},{"info":"compute binary expreesion, left_input=2004, right_input=3869, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=5928","layer":4},{"info":"compute unary expreesion, input=5928, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=35141184","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=35141184, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-218, 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=-7275, 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":11,"result_base":11,"text":"(((⋰*⋻3884⪄⋰*⋻1726)≣⋋)+⋰*⋻1781⪛⋰*⋻214A⊭↱(⋰*⋻1039⩤))⪘⫢((⋰*⋻2851⋓⋰*⋻15A3⪨≂(⋰*⋻3586⨵⪆⋰*⋻858))∲⫓⋰*⋻1562≭⋰*⋻29A8⊭↱(⫓⪴⋰*⋻44AA))=NaN","reverse_text":"NaN=(((⋰*⋻3884⪄⋰*⋻1726)≣⋋)+⋰*⋻1781⪛⋰*⋻214A⊭↱(⋰*⋻1039⩤))⪘⫢((⋰*⋻2851⋓⋰*⋻15A3⪨≂(⋰*⋻3586⨵⪆⋰*⋻858))∲⫓⋰*⋻1562≭⋰*⋻29A8⊭↱(⫓⪴⋰*⋻44AA))","cot":[{"info":"⋰*⋻3884⪄⋰*⋻1726=⋰*⋻-474615","layer":3},{"info":"⋰*⋻-474615≣⋋=⋰*⋻0","layer":2},{"info":"⋰*⋻1781⪛⋰*⋻214A=⋰*⋻1781","layer":3},{"info":"⋰*⋻1039⩤=⋰*⋻-1039","layer":3},{"info":"⋰*⋻1781⊭↱⋰*⋻-1039=⋰*⋻-5514","layer":2},{"info":"⋰*⋻0+⋰*⋻-5514=⋰*⋻-5514","layer":1},{"info":"⋰*⋻2851⋓⋰*⋻15A3=⋰*⋻0","layer":3},{"info":"⋰*⋻3586⨵⪆⋰*⋻858=⋰*⋻136","layer":3},{"info":"⋰*⋻0⪨≂⋰*⋻136=⋰*⋻-189","layer":2},{"info":"⋰*⋻1562≭⋰*⋻29A8=NaN","layer":3},{"info":"⫓⪴⋰*⋻44AA=⋰*⋻18922101","layer":3},{"info":"NaN⊭↱⋰*⋻18922101=NaN","layer":2},{"info":"⋰*⋻-189∲⫓NaN=NaN","layer":1},{"info":"⋰*⋻-5514⪘⫢NaN=NaN","layer":0}]}
{"id":484,"expression_no_base_symbol":"(≦∁(↽≂$3294$)≹⇙⪍($1104$∀⇚≩$2648$))⊭↱($6179$⪛$5756$⇷$1038$⨟⋌⩍$5615$)≹⇙⪍(($2281$∲⫓$1081$)∲⫓$1464$≭$4521$)","expression":"(≦∁(↽≂⋰*⋻2525)≹⇙⪍(⋰*⋻914∀⇚≩⋰*⋻1A98))⊭↱(⋰*⋻4708⪛⋰*⋻4363⇷⋰*⋻864⨟⋌⩍⋰*⋻4245)≹⇙⪍((⋰*⋻1794∲⫓⋰*⋻8A3)∲⫓⋰*⋻1111≭⋰*⋻3440)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":13678,"operation_count":12,"complexity_ratio":1139.8333333333333,"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":3294,"base":11}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1104,"base":11},"right_expr":{"type":"numeric_atoms","value":2648,"base":11}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":6179,"base":11},"right_expr":{"type":"numeric_atoms","value":5756,"base":11}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1038,"base":11},"right_expr":{"type":"numeric_atoms","value":5615,"base":11}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2281,"base":11},"right_expr":{"type":"numeric_atoms","value":1081,"base":11}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1464,"base":11},"right_expr":{"type":"numeric_atoms","value":4521,"base":11}}}}},"used_operators":["COABgblf1C","9ICcGScMcE","AHs5Up7iyr","u6S6b8DprG","LRNGc0VcxI","mp7IySMOzn","uFcxV4UQCh","rGHVDoGpnC","i8ToyICDmI","rxpJgHHUmx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3294","layer":4},{"info":"compute unary expreesion, input=3294, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-6588","layer":3},{"info":"number node, value=1104","layer":4},{"info":"number node, value=2648","layer":4},{"info":"compute binary expreesion, left_input=1104, right_input=2648, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=-6588, 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 = 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=6179","layer":4},{"info":"number node, value=5756","layer":4},{"info":"compute binary expreesion, left_input=6179, right_input=5756, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=423","layer":3},{"info":"number node, value=1038","layer":4},{"info":"number node, value=5615","layer":4},{"info":"compute binary expreesion, left_input=1038, right_input=5615, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=423, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"number node, value=2281","layer":4},{"info":"number node, value=1081","layer":4},{"info":"compute binary expreesion, left_input=2281, right_input=1081, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1464","layer":4},{"info":"number node, value=4521","layer":4},{"info":"compute binary expreesion, left_input=1464, right_input=4521, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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 = 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 = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":11,"result_base":11,"text":"(≦∁(↽≂⋰*⋻2525)≹⇙⪍(⋰*⋻914∀⇚≩⋰*⋻1A98))⊭↱(⋰*⋻4708⪛⋰*⋻4363⇷⋰*⋻864⨟⋌⩍⋰*⋻4245)≹⇙⪍((⋰*⋻1794∲⫓⋰*⋻8A3)∲⫓⋰*⋻1111≭⋰*⋻3440)=NaN","reverse_text":"NaN=(≦∁(↽≂⋰*⋻2525)≹⇙⪍(⋰*⋻914∀⇚≩⋰*⋻1A98))⊭↱(⋰*⋻4708⪛⋰*⋻4363⇷⋰*⋻864⨟⋌⩍⋰*⋻4245)≹⇙⪍((⋰*⋻1794∲⫓⋰*⋻8A3)∲⫓⋰*⋻1111≭⋰*⋻3440)","cot":[{"info":"↽≂⋰*⋻2525=⋰*⋻-4A4A","layer":3},{"info":"⋰*⋻914∀⇚≩⋰*⋻1A98=NaN","layer":3},{"info":"⋰*⋻-4A4A≹⇙⪍NaN=NaN","layer":2},{"info":"≦∁NaN=NaN","layer":1},{"info":"⋰*⋻4708⪛⋰*⋻4363=⋰*⋻355","layer":3},{"info":"⋰*⋻864⨟⋌⩍⋰*⋻4245=NaN","layer":3},{"info":"⋰*⋻355⇷NaN=NaN","layer":2},{"info":"⋰*⋻1794∲⫓⋰*⋻8A3=⋰*⋻0","layer":3},{"info":"⋰*⋻1111≭⋰*⋻3440=NaN","layer":3},{"info":"⋰*⋻0∲⫓NaN=NaN","layer":2},{"info":"NaN≹⇙⪍NaN=NaN","layer":1},{"info":"NaN⊭↱NaN=NaN","layer":0}]}
{"id":485,"expression_no_base_symbol":"((($4832$⨐⩸⫘$1793$)≫≃)↛⩡⫤)+(⨞⊢($2287$+$1533$)⨐⩸⫘($5493$⊭↱$1223$))","expression":"(((⋰*⋻36A3⨐⩸⫘⋰*⋻1390)≫≃)↛⩡⫤)+(⨞⊢(⋰*⋻179A+⋰*⋻1174)⨐⩸⫘(⋰*⋻4144⊭↱⋰*⋻A12))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":82,"operation_count":8,"complexity_ratio":10.25,"tree":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4832,"base":11},"right_expr":{"type":"numeric_atoms","value":1793,"base":11}}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2287,"base":11},"right_expr":{"type":"numeric_atoms","value":1533,"base":11}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":5493,"base":11},"right_expr":{"type":"numeric_atoms","value":1223,"base":11}}}}},"used_operators":["W4YGzv6Whe","FU0Cs4j7VP","X99M06cbEe","fu6greOZ01","xUOZtlo3hN","COABgblf1C"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4832","layer":4},{"info":"number node, value=1793","layer":4},{"info":"compute binary expreesion, left_input=4832, right_input=1793, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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 = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 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=2287","layer":4},{"info":"number node, value=1533","layer":4},{"info":"compute binary expreesion, left_input=2287, right_input=1533, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3820","layer":3},{"info":"number node, value=5493","layer":4},{"info":"number node, value=1223","layer":4},{"info":"compute binary expreesion, left_input=5493, right_input=1223, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-8535","layer":3},{"info":"compute binary expreesion, left_input=3820, right_input=-8535, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻36A3⨐⩸⫘⋰*⋻1390)≫≃)↛⩡⫤)+(⨞⊢(⋰*⋻179A+⋰*⋻1174)⨐⩸⫘(⋰*⋻4144⊭↱⋰*⋻A12))=NaN","reverse_text":"NaN=(((⋰*⋻36A3⨐⩸⫘⋰*⋻1390)≫≃)↛⩡⫤)+(⨞⊢(⋰*⋻179A+⋰*⋻1174)⨐⩸⫘(⋰*⋻4144⊭↱⋰*⋻A12))","cot":[{"info":"⋰*⋻36A3⨐⩸⫘⋰*⋻1390=NaN","layer":3},{"info":"NaN≫≃=NaN","layer":2},{"info":"NaN↛⩡⫤=NaN","layer":1},{"info":"⋰*⋻179A+⋰*⋻1174=⋰*⋻2963","layer":3},{"info":"⋰*⋻4144⊭↱⋰*⋻A12=⋰*⋻-645A","layer":3},{"info":"⋰*⋻2963⨐⩸⫘⋰*⋻-645A=NaN","layer":2},{"info":"⨞⊢NaN=NaN","layer":1},{"info":"NaN+NaN=NaN","layer":0}]}
{"id":486,"expression_no_base_symbol":"(($1198$≹⇙⪍$3785$⋫)⪐)⩠","expression":"((⋰*⋻99A≹⇙⪍⋰*⋻2931⋫)⪐)⩠","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":22,"operation_count":4,"complexity_ratio":5.5,"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":1198,"base":11},"right_expr":{"type":"numeric_atoms","value":3785,"base":11}}}}},"used_operators":["sJAwomhLZr","eH2TOUuTDT","JL8yIekQnl","AHs5Up7iyr"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=1198","layer":4},{"info":"number node, value=3785","layer":4},{"info":"compute binary expreesion, left_input=1198, right_input=3785, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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 = JL8yIekQnl, 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 = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻99A≹⇙⪍⋰*⋻2931⋫)⪐)⩠=NaN","reverse_text":"NaN=((⋰*⋻99A≹⇙⪍⋰*⋻2931⋫)⪐)⩠","cot":[{"info":"⋰*⋻99A≹⇙⪍⋰*⋻2931=NaN","layer":3},{"info":"NaN⋫=NaN","layer":2},{"info":"NaN⪐=NaN","layer":1},{"info":"NaN⩠=NaN","layer":0}]}
{"id":487,"expression_no_base_symbol":"($1299$∼$5442$⫌⩹⨱)⇷((⋗⩬⋾$1342$)≫≃)≣⋋","expression":"(⋰*⋻A81∼⋰*⋻40A8⫌⩹⨱)⇷((⋗⩬⋾⋰*⋻1010)≫≃)≣⋋","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":57,"operation_count":6,"complexity_ratio":9.5,"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":1299,"base":11},"right_expr":{"type":"numeric_atoms","value":5442,"base":11}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1342,"base":11}}}}},"used_operators":["Tcnh7f0tEr","mp7IySMOzn","EBcxylXtPf","DyGG3AbaNP","X99M06cbEe","DpFCA1CohY"],"dependent_operators":["dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1299","layer":4},{"info":"number node, value=5442","layer":4},{"info":"compute binary expreesion, left_input=1299, right_input=5442, 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 = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=nan","layer":2},{"info":"number node, value=1342","layer":4},{"info":"compute unary expreesion, input=1342, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-4026","layer":3},{"info":"compute unary expreesion, input=-4026, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=-6651","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-6651, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾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":11,"result_base":11,"text":"(⋰*⋻A81∼⋰*⋻40A8⫌⩹⨱)⇷((⋗⩬⋾⋰*⋻1010)≫≃)≣⋋=NaN","reverse_text":"NaN=(⋰*⋻A81∼⋰*⋻40A8⫌⩹⨱)⇷((⋗⩬⋾⋰*⋻1010)≫≃)≣⋋","cot":[{"info":"⋰*⋻A81∼⋰*⋻40A8=NaN","layer":3},{"info":"NaN⫌⩹⨱=NaN","layer":2},{"info":"⋗⩬⋾⋰*⋻1010=⋰*⋻-3030","layer":3},{"info":"⋰*⋻-3030≫≃=⋰*⋻-4AA7","layer":2},{"info":"NaN⇷⋰*⋻-4AA7=NaN","layer":1},{"info":"NaN≣⋋=NaN","layer":0}]}
{"id":488,"expression_no_base_symbol":"(+⊝⨔($1876$∑⇟⊟$3865$↺($1284$-$1314$)))⋥≓≎$4916$⪢$2635$⪛($7935$⩷∴$1012$)⋓(∥⊫$6953$⨎$2520$)","expression":"(+⊝⨔(⋰*⋻1456∑⇟⊟⋰*⋻29A4↺(⋰*⋻A68-⋰*⋻A95)))⋥≓≎⋰*⋻376A⪢⋰*⋻1A86⪛(⋰*⋻5A64⩷∴⋰*⋻840)⋓(∥⊫⋰*⋻5251⨎⋰*⋻1991)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4673,"operation_count":11,"complexity_ratio":424.8181818181818,"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":1876,"base":11},"right_expr":{"type":"numeric_atoms","value":3865,"base":11}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1284,"base":11},"right_expr":{"type":"numeric_atoms","value":1314,"base":11}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4916,"base":11},"right_expr":{"type":"numeric_atoms","value":2635,"base":11}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":7935,"base":11},"right_expr":{"type":"numeric_atoms","value":1012,"base":11}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":6953,"base":11},"right_expr":{"type":"numeric_atoms","value":2520,"base":11}}}}},"used_operators":["Qy55tPpLXF","DhbWaqg5eL","7j4O788W3g","U7g4x0WXJJ","rysDP5nf3Z","T2fj7uvVaJ","uFcxV4UQCh","dWAJyo7jo9","9FxExcQeMw","P8v4zCKN1o","rJVOvQCfKK"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⋰*⋻-1134","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1876","layer":4},{"info":"number node, value=3865","layer":4},{"info":"compute binary expreesion, left_input=1876, right_input=3865, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1284","layer":4},{"info":"number node, value=1314","layer":4},{"info":"compute binary expreesion, left_input=1284, right_input=1314, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-30","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-30, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-30","layer":2},{"info":"compute unary expreesion, input=-30, 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=4916","layer":4},{"info":"number node, value=2635","layer":4},{"info":"compute binary expreesion, left_input=4916, right_input=2635, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=7935","layer":4},{"info":"number node, value=1012","layer":4},{"info":"compute binary expreesion, left_input=7935, right_input=1012, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=13814","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=13814, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"number node, value=6953","layer":4},{"info":"number node, value=2520","layer":4},{"info":"compute binary expreesion, left_input=6953, right_input=2520, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2520","layer":3},{"info":"compute unary expreesion, input=2520, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3388","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3388, op_id = T2fj7uvVaJ binary_op_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=1522, right_input=0, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1489","layer":0}],"base":11,"result_base":11,"text":"(+⊝⨔(⋰*⋻1456∑⇟⊟⋰*⋻29A4↺(⋰*⋻A68-⋰*⋻A95)))⋥≓≎⋰*⋻376A⪢⋰*⋻1A86⪛(⋰*⋻5A64⩷∴⋰*⋻840)⋓(∥⊫⋰*⋻5251⨎⋰*⋻1991)=⋰*⋻-1134","reverse_text":"⋰*⋻-1134=(+⊝⨔(⋰*⋻1456∑⇟⊟⋰*⋻29A4↺(⋰*⋻A68-⋰*⋻A95)))⋥≓≎⋰*⋻376A⪢⋰*⋻1A86⪛(⋰*⋻5A64⩷∴⋰*⋻840)⋓(∥⊫⋰*⋻5251⨎⋰*⋻1991)","cot":[{"info":"⋰*⋻1456∑⇟⊟⋰*⋻29A4=NaN","layer":3},{"info":"⋰*⋻A68-⋰*⋻A95=⋰*⋻-28","layer":3},{"info":"NaN↺⋰*⋻-28=⋰*⋻-28","layer":2},{"info":"+⊝⨔⋰*⋻-28=⋰*⋻1164","layer":1},{"info":"⋰*⋻376A⪢⋰*⋻1A86=NaN","layer":3},{"info":"⋰*⋻5A64⩷∴⋰*⋻840=⋰*⋻A419","layer":3},{"info":"NaN⪛⋰*⋻A419=NaN","layer":2},{"info":"⋰*⋻5251⨎⋰*⋻1991=⋰*⋻1991","layer":3},{"info":"∥⊫⋰*⋻1991=⋰*⋻2600","layer":2},{"info":"NaN⋓⋰*⋻2600=⋰*⋻0","layer":1},{"info":"⋰*⋻1164⋥≓≎⋰*⋻0=⋰*⋻-1134","layer":0}]}
{"id":489,"expression_no_base_symbol":"(($7438$/$3418$)⪮%⊝($1276$⨓$2555$)≋⫹)⪘⫢($2429$⨰$1515$/$1046$⨓$1704$)⪛(⊙↵-($1389$⨵⪆$2178$))","expression":"((⋰*⋻5652/⋰*⋻2628)⪮%⊝(⋰*⋻A60⨓⋰*⋻1A13)≋⫹)⪘⫢(⋰*⋻1909⨰⋰*⋻1158/⋰*⋻871⨓⋰*⋻130A)⪛(⊙↵-(⋰*⋻1053⨵⪆⋰*⋻1700))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4492,"operation_count":11,"complexity_ratio":408.3636363636364,"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":7438,"base":11},"right_expr":{"type":"numeric_atoms","value":3418,"base":11}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1276,"base":11},"right_expr":{"type":"numeric_atoms","value":2555,"base":11}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2429,"base":11},"right_expr":{"type":"numeric_atoms","value":1515,"base":11}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1046,"base":11},"right_expr":{"type":"numeric_atoms","value":1704,"base":11}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1389,"base":11},"right_expr":{"type":"numeric_atoms","value":2178,"base":11}}}}},"used_operators":["oacrs7FA3X","N41Kp7NANJ","IWmyXbctLI","XhwjNDsVaA","3ViojmjbAp","uFcxV4UQCh","eewbuw0ToL","oWn0xqSxBt","2DQ55sFlQl"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7438","layer":4},{"info":"number node, value=3418","layer":4},{"info":"compute binary expreesion, left_input=7438, right_input=3418, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"number node, value=1276","layer":4},{"info":"number node, value=2555","layer":4},{"info":"compute binary expreesion, left_input=1276, right_input=2555, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2558","layer":3},{"info":"compute binary expreesion, left_input=2, right_input=-2558, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=320","layer":2},{"info":"compute unary expreesion, input=320, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-640","layer":1},{"info":"number node, value=2429","layer":4},{"info":"number node, value=1515","layer":4},{"info":"compute binary expreesion, left_input=2429, right_input=1515, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=924","layer":3},{"info":"number node, value=1046","layer":4},{"info":"number node, value=1704","layer":4},{"info":"compute binary expreesion, left_input=1046, right_input=1704, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1707","layer":3},{"info":"compute binary expreesion, left_input=924, right_input=-1707, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":2},{"info":"number node, value=1389","layer":4},{"info":"number node, value=2178","layer":4},{"info":"compute binary expreesion, left_input=1389, right_input=2178, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=0, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-640, 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":11,"result_base":11,"text":"((⋰*⋻5652/⋰*⋻2628)⪮%⊝(⋰*⋻A60⨓⋰*⋻1A13)≋⫹)⪘⫢(⋰*⋻1909⨰⋰*⋻1158/⋰*⋻871⨓⋰*⋻130A)⪛(⊙↵-(⋰*⋻1053⨵⪆⋰*⋻1700))=NaN","reverse_text":"NaN=((⋰*⋻5652/⋰*⋻2628)⪮%⊝(⋰*⋻A60⨓⋰*⋻1A13)≋⫹)⪘⫢(⋰*⋻1909⨰⋰*⋻1158/⋰*⋻871⨓⋰*⋻130A)⪛(⊙↵-(⋰*⋻1053⨵⪆⋰*⋻1700))","cot":[{"info":"⋰*⋻5652/⋰*⋻2628=⋰*⋻2","layer":3},{"info":"⋰*⋻A60⨓⋰*⋻1A13=⋰*⋻-1A16","layer":3},{"info":"⋰*⋻2⪮%⊝⋰*⋻-1A16=⋰*⋻271","layer":2},{"info":"⋰*⋻271≋⫹=⋰*⋻-532","layer":1},{"info":"⋰*⋻1909⨰⋰*⋻1158=⋰*⋻770","layer":3},{"info":"⋰*⋻871⨓⋰*⋻130A=⋰*⋻-1312","layer":3},{"info":"⋰*⋻770/⋰*⋻-1312=⋰*⋻-1","layer":2},{"info":"⋰*⋻1053⨵⪆⋰*⋻1700=⋰*⋻136","layer":3},{"info":"⊙↵-⋰*⋻136=⋰*⋻0","layer":2},{"info":"⋰*⋻-1⪛⋰*⋻0=NaN","layer":1},{"info":"⋰*⋻-532⪘⫢NaN=NaN","layer":0}]}
{"id":490,"expression_no_base_symbol":"⩦⩻⨪((($1655$≋⫹)⊭↱$1045$∼$2826$)⪄(⫓⪴$2030$)⊴(⨰⫟⨤$2001$))","expression":"⩦⩻⨪(((⋰*⋻1275≋⫹)⊭↱⋰*⋻870∼⋰*⋻213A)⪄(⫓⪴⋰*⋻1586)⊴(⨰⫟⨤⋰*⋻155A))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":9256,"operation_count":8,"complexity_ratio":1157.0,"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":1655,"base":11}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1045,"base":11},"right_expr":{"type":"numeric_atoms","value":2826,"base":11}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2030,"base":11}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2001,"base":11}}}}},"used_operators":["2td37pGCOC","SUmda5xLS4","COABgblf1C","N41Kp7NANJ","DyGG3AbaNP","Nsiff2A1zJ","eLxqMNBOBk","Tw270M8GLb"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","14qkJME0vr","9HNa5Wba9A","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"⋰*⋻2A98","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1655","layer":4},{"info":"compute unary expreesion, input=1655, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-3310","layer":3},{"info":"number node, value=1045","layer":4},{"info":"number node, value=2826","layer":4},{"info":"compute binary expreesion, left_input=1045, right_input=2826, 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=-3310, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"number node, value=2030","layer":4},{"info":"compute unary expreesion, input=2030, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=4120900","layer":3},{"info":"number node, value=2001","layer":4},{"info":"compute unary expreesion, input=2001, 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=4120900, 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 = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"compute unary expreesion, input=3979, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=3979","layer":0}],"base":11,"result_base":11,"text":"⩦⩻⨪(((⋰*⋻1275≋⫹)⊭↱⋰*⋻870∼⋰*⋻213A)⪄(⫓⪴⋰*⋻1586)⊴(⨰⫟⨤⋰*⋻155A))=⋰*⋻2A98","reverse_text":"⋰*⋻2A98=⩦⩻⨪(((⋰*⋻1275≋⫹)⊭↱⋰*⋻870∼⋰*⋻213A)⪄(⫓⪴⋰*⋻1586)⊴(⨰⫟⨤⋰*⋻155A))","cot":[{"info":"⋰*⋻1275≋⫹=⋰*⋻-253A","layer":3},{"info":"⋰*⋻870∼⋰*⋻213A=NaN","layer":3},{"info":"⋰*⋻-253A⊭↱NaN=NaN","layer":2},{"info":"⫓⪴⋰*⋻1586=⋰*⋻2365103","layer":3},{"info":"⨰⫟⨤⋰*⋻155A=NaN","layer":3},{"info":"⋰*⋻2365103⊴NaN=NaN","layer":2},{"info":"NaN⪄NaN=⋰*⋻2A98","layer":1},{"info":"⩦⩻⨪⋰*⋻2A98=⋰*⋻2A98","layer":0}]}
{"id":491,"expression_no_base_symbol":"((($3832$⪒$1490$)⊭∹↮)+⇶⊼($2813$⨎$1969$⇼⇔∾$1324$⪄$3840$))⪘⫢(($2633$≎⊠⪸$1227$%($1537$≦≮≮))⩚⊴⇥($3129$⫌⩹⨱)⪮%⊝($2381$+⇶⊼$4548$))","expression":"(((⋰*⋻2974⪒⋰*⋻1135)⊭∹↮)+⇶⊼(⋰*⋻2128⨎⋰*⋻1530⇼⇔∾⋰*⋻AA4⪄⋰*⋻2981))⪘⫢((⋰*⋻1A84≎⊠⪸⋰*⋻A16%(⋰*⋻1178≦≮≮))⩚⊴⇥(⋰*⋻2395⫌⩹⨱)⪮%⊝(⋰*⋻1875+⇶⊼⋰*⋻3465))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":552,"operation_count":14,"complexity_ratio":39.42857142857143,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3832,"base":11},"right_expr":{"type":"numeric_atoms","value":1490,"base":11}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2813,"base":11},"right_expr":{"type":"numeric_atoms","value":1969,"base":11}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1324,"base":11},"right_expr":{"type":"numeric_atoms","value":3840,"base":11}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2633,"base":11},"right_expr":{"type":"numeric_atoms","value":1227,"base":11}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1537,"base":11}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":3129,"base":11}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2381,"base":11},"right_expr":{"type":"numeric_atoms","value":4548,"base":11}}}}},"used_operators":["oacrs7FA3X","TpPTUOHfaN","xNBdhnnwKq","f6k1SAg4EE","tifHPKVTfV","rJVOvQCfKK","SUmda5xLS4","NTOWxs364D","k8jYdgA6NY","bJkvcejdHO","D4vGDi5EA2","IWmyXbctLI","EBcxylXtPf"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","AHs5Up7iyr","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3832","layer":4},{"info":"number node, value=1490","layer":4},{"info":"compute binary expreesion, left_input=3832, right_input=1490, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5322","layer":3},{"info":"compute unary expreesion, input=-5322, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=-5322","layer":2},{"info":"number node, value=2813","layer":4},{"info":"number node, value=1969","layer":4},{"info":"compute binary expreesion, left_input=2813, right_input=1969, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1969","layer":3},{"info":"number node, value=1324","layer":4},{"info":"number node, value=3840","layer":4},{"info":"compute binary expreesion, left_input=1324, right_input=3840, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-207401","layer":3},{"info":"compute binary expreesion, left_input=1969, right_input=-207401, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-209370","layer":2},{"info":"compute binary expreesion, left_input=-5322, right_input=-209370, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=2633","layer":4},{"info":"number node, value=1227","layer":4},{"info":"compute binary expreesion, left_input=2633, right_input=1227, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=681474","layer":3},{"info":"number node, value=1537","layer":4},{"info":"compute unary expreesion, input=1537, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-4611","layer":3},{"info":"compute binary expreesion, left_input=681474, right_input=-4611, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-954","layer":2},{"info":"number node, value=3129","layer":4},{"info":"compute unary expreesion, input=3129, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=7659","layer":3},{"info":"number node, value=2381","layer":4},{"info":"number node, value=4548","layer":4},{"info":"compute binary expreesion, left_input=2381, right_input=4548, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=7659, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-954, 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 = 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":11,"result_base":11,"text":"(((⋰*⋻2974⪒⋰*⋻1135)⊭∹↮)+⇶⊼(⋰*⋻2128⨎⋰*⋻1530⇼⇔∾⋰*⋻AA4⪄⋰*⋻2981))⪘⫢((⋰*⋻1A84≎⊠⪸⋰*⋻A16%(⋰*⋻1178≦≮≮))⩚⊴⇥(⋰*⋻2395⫌⩹⨱)⪮%⊝(⋰*⋻1875+⇶⊼⋰*⋻3465))=NaN","reverse_text":"NaN=(((⋰*⋻2974⪒⋰*⋻1135)⊭∹↮)+⇶⊼(⋰*⋻2128⨎⋰*⋻1530⇼⇔∾⋰*⋻AA4⪄⋰*⋻2981))⪘⫢((⋰*⋻1A84≎⊠⪸⋰*⋻A16%(⋰*⋻1178≦≮≮))⩚⊴⇥(⋰*⋻2395⫌⩹⨱)⪮%⊝(⋰*⋻1875+⇶⊼⋰*⋻3465))","cot":[{"info":"⋰*⋻2974⪒⋰*⋻1135=⋰*⋻-3AA9","layer":3},{"info":"⋰*⋻-3AA9⊭∹↮=⋰*⋻-3AA9","layer":2},{"info":"⋰*⋻2128⨎⋰*⋻1530=⋰*⋻1530","layer":3},{"info":"⋰*⋻AA4⪄⋰*⋻2981=⋰*⋻-131907","layer":3},{"info":"⋰*⋻1530⇼⇔∾⋰*⋻-131907=⋰*⋻-133337","layer":2},{"info":"⋰*⋻-3AA9+⇶⊼⋰*⋻-133337=NaN","layer":1},{"info":"⋰*⋻1A84≎⊠⪸⋰*⋻A16=⋰*⋻426002","layer":3},{"info":"⋰*⋻1178≦≮≮=⋰*⋻-3512","layer":3},{"info":"⋰*⋻426002%⋰*⋻-3512=⋰*⋻-798","layer":2},{"info":"⋰*⋻2395⫌⩹⨱=⋰*⋻5833","layer":3},{"info":"⋰*⋻1875+⇶⊼⋰*⋻3465=NaN","layer":3},{"info":"⋰*⋻5833⪮%⊝NaN=NaN","layer":2},{"info":"⋰*⋻-798⩚⊴⇥NaN=NaN","layer":1},{"info":"NaN⪘⫢NaN=NaN","layer":0}]}
{"id":492,"expression_no_base_symbol":"(($3292$⪠⩆⊳)⪢($1340$⨽$4132$)⩨((⪝⪂⫅$1423$)⊉≛↸$7373$⊴$1962$))∼(($1347$+⇶⊼$4389$)⪘⫢($7562$⩚⊴⇥$6541$)⨸⪁(⪝⪂⫅$6779$∼$4199$))","expression":"((⋰*⋻2523⪠⩆⊳)⪢(⋰*⋻1009⨽⋰*⋻3117)⩨((⪝⪂⫅⋰*⋻1084)⊉≛↸⋰*⋻55A3⊴⋰*⋻1524))∼((⋰*⋻1015+⇶⊼⋰*⋻3330)⪘⫢(⋰*⋻5755⩚⊴⇥⋰*⋻4A07)⨸⪁(⪝⪂⫅⋰*⋻5103∼⋰*⋻3178))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":16004,"operation_count":14,"complexity_ratio":1143.142857142857,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":3292,"base":11}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1340,"base":11},"right_expr":{"type":"numeric_atoms","value":4132,"base":11}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1423,"base":11}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":7373,"base":11},"right_expr":{"type":"numeric_atoms","value":1962,"base":11}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1347,"base":11},"right_expr":{"type":"numeric_atoms","value":4389,"base":11}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":7562,"base":11},"right_expr":{"type":"numeric_atoms","value":6541,"base":11}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":6779,"base":11},"right_expr":{"type":"numeric_atoms","value":4199,"base":11}}}}},"used_operators":["DyGG3AbaNP","2DlMacCsIx","dWAJyo7jo9","JLbD19bQDL","8HhzD0ZcuI","DZ8iAZOCBD","XTarYq4gQB","Nsiff2A1zJ","g55IO6H4Gj","oacrs7FA3X","TpPTUOHfaN","NTOWxs364D"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3292","layer":4},{"info":"compute unary expreesion, input=3292, 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=1340","layer":4},{"info":"number node, value=4132","layer":4},{"info":"compute binary expreesion, left_input=1340, right_input=4132, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-5397882","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-5397882, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1423","layer":4},{"info":"compute unary expreesion, input=1423, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-209181","layer":3},{"info":"number node, value=7373","layer":4},{"info":"number node, value=1962","layer":4},{"info":"compute binary expreesion, left_input=7373, right_input=1962, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-209181, 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 = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"number node, value=1347","layer":4},{"info":"number node, value=4389","layer":4},{"info":"compute binary expreesion, left_input=1347, right_input=4389, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=7562","layer":4},{"info":"number node, value=6541","layer":4},{"info":"compute binary expreesion, left_input=7562, right_input=6541, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-14224","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-14224, 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=6779","layer":4},{"info":"number node, value=4199","layer":4},{"info":"compute binary expreesion, left_input=6779, right_input=4199, 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 = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻2523⪠⩆⊳)⪢(⋰*⋻1009⨽⋰*⋻3117)⩨((⪝⪂⫅⋰*⋻1084)⊉≛↸⋰*⋻55A3⊴⋰*⋻1524))∼((⋰*⋻1015+⇶⊼⋰*⋻3330)⪘⫢(⋰*⋻5755⩚⊴⇥⋰*⋻4A07)⨸⪁(⪝⪂⫅⋰*⋻5103∼⋰*⋻3178))=NaN","reverse_text":"NaN=((⋰*⋻2523⪠⩆⊳)⪢(⋰*⋻1009⨽⋰*⋻3117)⩨((⪝⪂⫅⋰*⋻1084)⊉≛↸⋰*⋻55A3⊴⋰*⋻1524))∼((⋰*⋻1015+⇶⊼⋰*⋻3330)⪘⫢(⋰*⋻5755⩚⊴⇥⋰*⋻4A07)⨸⪁(⪝⪂⫅⋰*⋻5103∼⋰*⋻3178))","cot":[{"info":"⋰*⋻2523⪠⩆⊳=⋰*⋻0","layer":3},{"info":"⋰*⋻1009⨽⋰*⋻3117=⋰*⋻-3057566","layer":3},{"info":"⋰*⋻0⪢⋰*⋻-3057566=NaN","layer":2},{"info":"⪝⪂⫅⋰*⋻1084=⋰*⋻-133185","layer":3},{"info":"⋰*⋻55A3⊴⋰*⋻1524=NaN","layer":3},{"info":"⋰*⋻-133185⊉≛↸NaN=NaN","layer":2},{"info":"NaN⩨NaN=NaN","layer":1},{"info":"⋰*⋻1015+⇶⊼⋰*⋻3330=NaN","layer":3},{"info":"⋰*⋻5755⩚⊴⇥⋰*⋻4A07=⋰*⋻-A761","layer":3},{"info":"NaN⪘⫢⋰*⋻-A761=NaN","layer":2},{"info":"⋰*⋻5103∼⋰*⋻3178=NaN","layer":3},{"info":"⪝⪂⫅NaN=NaN","layer":2},{"info":"NaN⨸⪁NaN=NaN","layer":1},{"info":"NaN∼NaN=NaN","layer":0}]}
{"id":493,"expression_no_base_symbol":"((⊙↵-$2095$)⋓$1195$⨟⋌⩍$2932$↙(($3074$⩨$2432$)≣⋋))⩷∴((↔($1151$⨰$4279$))≭($1494$⩚⊴⇥$4179$⇼⇔∾$2986$⋳⪒$4873$))","expression":"((⊙↵-⋰*⋻1635)⋓⋰*⋻997⨟⋌⩍⋰*⋻2226↙((⋰*⋻2345⩨⋰*⋻1911)≣⋋))⩷∴((↔(⋰*⋻957⨰⋰*⋻3240))≭(⋰*⋻1139⩚⊴⇥⋰*⋻315A⇼⇔∾⋰*⋻2275⋳⪒⋰*⋻3730))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2211,"operation_count":13,"complexity_ratio":170.07692307692307,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2095,"base":11}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1195,"base":11},"right_expr":{"type":"numeric_atoms","value":2932,"base":11}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3074,"base":11},"right_expr":{"type":"numeric_atoms","value":2432,"base":11}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1151,"base":11},"right_expr":{"type":"numeric_atoms","value":4279,"base":11}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1494,"base":11},"right_expr":{"type":"numeric_atoms","value":4179,"base":11}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2986,"base":11},"right_expr":{"type":"numeric_atoms","value":4873,"base":11}}}}},"used_operators":["9FxExcQeMw","yyfyN0ffXY","T2fj7uvVaJ","oWn0xqSxBt","rGHVDoGpnC","Tcnh7f0tEr","2DlMacCsIx","rxpJgHHUmx","ruOEQAzv1W","eewbuw0ToL","tifHPKVTfV","NTOWxs364D","12rbrZMWeM"],"dependent_operators":["rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","Tcnh7f0tEr","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","AHs5Up7iyr","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2095","layer":4},{"info":"compute unary expreesion, input=2095, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=1195","layer":4},{"info":"number node, value=2932","layer":4},{"info":"compute binary expreesion, left_input=1195, right_input=2932, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = T2fj7uvVaJ 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=3074","layer":4},{"info":"number node, value=2432","layer":4},{"info":"compute binary expreesion, left_input=3074, right_input=2432, 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 = 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 = 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=4279","layer":4},{"info":"compute binary expreesion, left_input=1151, right_input=4279, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-3118","layer":3},{"info":"compute unary expreesion, input=-3118, 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=1494","layer":4},{"info":"number node, value=4179","layer":4},{"info":"compute binary expreesion, left_input=1494, right_input=4179, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5794","layer":3},{"info":"number node, value=2986","layer":4},{"info":"number node, value=4873","layer":4},{"info":"compute binary expreesion, left_input=2986, right_input=4873, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=812","layer":3},{"info":"compute binary expreesion, left_input=-5794, right_input=812, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=6606","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=6606, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":11,"result_base":11,"text":"((⊙↵-⋰*⋻1635)⋓⋰*⋻997⨟⋌⩍⋰*⋻2226↙((⋰*⋻2345⩨⋰*⋻1911)≣⋋))⩷∴((↔(⋰*⋻957⨰⋰*⋻3240))≭(⋰*⋻1139⩚⊴⇥⋰*⋻315A⇼⇔∾⋰*⋻2275⋳⪒⋰*⋻3730))=NaN","reverse_text":"NaN=((⊙↵-⋰*⋻1635)⋓⋰*⋻997⨟⋌⩍⋰*⋻2226↙((⋰*⋻2345⩨⋰*⋻1911)≣⋋))⩷∴((↔(⋰*⋻957⨰⋰*⋻3240))≭(⋰*⋻1139⩚⊴⇥⋰*⋻315A⇼⇔∾⋰*⋻2275⋳⪒⋰*⋻3730))","cot":[{"info":"⊙↵-⋰*⋻1635=⋰*⋻-1","layer":3},{"info":"⋰*⋻997⨟⋌⩍⋰*⋻2226=NaN","layer":3},{"info":"⋰*⋻-1⋓NaN=NaN","layer":2},{"info":"⋰*⋻2345⩨⋰*⋻1911=⋰*⋻0","layer":3},{"info":"⋰*⋻0≣⋋=⋰*⋻0","layer":2},{"info":"NaN↙⋰*⋻0=NaN","layer":1},{"info":"⋰*⋻957⨰⋰*⋻3240=⋰*⋻-2385","layer":3},{"info":"↔⋰*⋻-2385=⋰*⋻-112","layer":2},{"info":"⋰*⋻1139⩚⊴⇥⋰*⋻315A=⋰*⋻-4398","layer":3},{"info":"⋰*⋻2275⋳⪒⋰*⋻3730=⋰*⋻679","layer":3},{"info":"⋰*⋻-4398⇼⇔∾⋰*⋻679=⋰*⋻4A66","layer":2},{"info":"⋰*⋻-112≭⋰*⋻4A66=NaN","layer":1},{"info":"NaN⩷∴NaN=NaN","layer":0}]}
{"id":494,"expression_no_base_symbol":"(⨰⫟⨤(($1296$≫≃)∸))⊉≛↸((⪲⇎($4404$⨳⩥⨓$2524$))≣⋋)","expression":"(⨰⫟⨤((⋰*⋻A79≫≃)∸))⊉≛↸((⪲⇎(⋰*⋻3344⨳⩥⨓⋰*⋻1995))≣⋋)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1597,"operation_count":7,"complexity_ratio":228.14285714285714,"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":1296,"base":11}}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4404,"base":11},"right_expr":{"type":"numeric_atoms","value":2524,"base":11}}}}},"used_operators":["DZ8iAZOCBD","Tw270M8GLb","o20kRiQErp","X99M06cbEe","Tcnh7f0tEr","XPYlsWDdGa","nCS4ZIUYfx"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","tmPS8pqC7x","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1296","layer":4},{"info":"compute unary expreesion, input=1296, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=3993","layer":3},{"info":"compute unary expreesion, input=3993, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"compute unary expreesion, input=177, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=4404","layer":4},{"info":"number node, value=2524","layer":4},{"info":"compute binary expreesion, left_input=4404, right_input=2524, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1880","layer":3},{"info":"compute unary expreesion, input=-1880, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-3760","layer":2},{"info":"compute unary expreesion, input=-3760, 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 = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⨰⫟⨤((⋰*⋻A79≫≃)∸))⊉≛↸((⪲⇎(⋰*⋻3344⨳⩥⨓⋰*⋻1995))≣⋋)=NaN","reverse_text":"NaN=(⨰⫟⨤((⋰*⋻A79≫≃)∸))⊉≛↸((⪲⇎(⋰*⋻3344⨳⩥⨓⋰*⋻1995))≣⋋)","cot":[{"info":"⋰*⋻A79≫≃=⋰*⋻3000","layer":3},{"info":"⋰*⋻3000∸=⋰*⋻151","layer":2},{"info":"⨰⫟⨤⋰*⋻151=NaN","layer":1},{"info":"⋰*⋻3344⨳⩥⨓⋰*⋻1995=⋰*⋻-145A","layer":3},{"info":"⪲⇎⋰*⋻-145A=⋰*⋻-2909","layer":2},{"info":"⋰*⋻-2909≣⋋=⋰*⋻0","layer":1},{"info":"NaN⊉≛↸⋰*⋻0=NaN","layer":0}]}
{"id":495,"expression_no_base_symbol":"(($3777$/$2050$)≣⋋)/($8843$↪⪝)⪄(↩$1015$)⨵⪆$1366$⨓$2290$+⇶⊼($3731$⊉≛↸$4903$)⇼⇔∾($2066$⪮%⊝$5761$↛⩡⫤)","expression":"((⋰*⋻2924/⋰*⋻15A4)≣⋋)/(⋰*⋻670A↪⪝)⪄(↩⋰*⋻843)⨵⪆⋰*⋻1032⨓⋰*⋻17A2+⇶⊼(⋰*⋻2892⊉≛↸⋰*⋻3758)⇼⇔∾(⋰*⋻1609⪮%⊝⋰*⋻4368↛⩡⫤)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":16605,"operation_count":13,"complexity_ratio":1277.3076923076924,"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":3777,"base":11},"right_expr":{"type":"numeric_atoms","value":2050,"base":11}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":8843,"base":11}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1015,"base":11}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1366,"base":11},"right_expr":{"type":"numeric_atoms","value":2290,"base":11}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3731,"base":11},"right_expr":{"type":"numeric_atoms","value":4903,"base":11}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2066,"base":11},"right_expr":{"type":"numeric_atoms","value":5761,"base":11}}}}},"used_operators":["2DQ55sFlQl","XhwjNDsVaA","Tcnh7f0tEr","SUmda5xLS4","l07mrZUIn9","jLgFTUHLKL","tifHPKVTfV","TpPTUOHfaN","3ViojmjbAp","DZ8iAZOCBD","FU0Cs4j7VP","IWmyXbctLI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9HNa5Wba9A","2DDjHMKMc0","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⋰*⋻136","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3777","layer":4},{"info":"number node, value=2050","layer":4},{"info":"compute binary expreesion, left_input=3777, right_input=2050, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute unary expreesion, input=1, 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=8843","layer":4},{"info":"compute unary expreesion, input=8843, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=541032426","layer":3},{"info":"number node, value=1015","layer":4},{"info":"compute unary expreesion, input=1015, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-5340","layer":3},{"info":"compute binary expreesion, left_input=541032426, right_input=-5340, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-inf","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-inf, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"number node, value=1366","layer":4},{"info":"number node, value=2290","layer":4},{"info":"compute binary expreesion, left_input=1366, right_input=2290, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2293","layer":3},{"info":"number node, value=3731","layer":4},{"info":"number node, value=4903","layer":4},{"info":"compute binary expreesion, left_input=3731, right_input=4903, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=7462","layer":3},{"info":"compute binary expreesion, left_input=-2293, right_input=7462, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=2066","layer":4},{"info":"number node, value=5761","layer":4},{"info":"compute binary expreesion, left_input=2066, right_input=5761, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4448","layer":3},{"info":"compute unary expreesion, input=4448, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-667737","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-667737, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻2924/⋰*⋻15A4)≣⋋)/(⋰*⋻670A↪⪝)⪄(↩⋰*⋻843)⨵⪆⋰*⋻1032⨓⋰*⋻17A2+⇶⊼(⋰*⋻2892⊉≛↸⋰*⋻3758)⇼⇔∾(⋰*⋻1609⪮%⊝⋰*⋻4368↛⩡⫤)=⋰*⋻136","reverse_text":"⋰*⋻136=((⋰*⋻2924/⋰*⋻15A4)≣⋋)/(⋰*⋻670A↪⪝)⪄(↩⋰*⋻843)⨵⪆⋰*⋻1032⨓⋰*⋻17A2+⇶⊼(⋰*⋻2892⊉≛↸⋰*⋻3758)⇼⇔∾(⋰*⋻1609⪮%⊝⋰*⋻4368↛⩡⫤)","cot":[{"info":"⋰*⋻2924/⋰*⋻15A4=⋰*⋻1","layer":3},{"info":"⋰*⋻1≣⋋=⋰*⋻0","layer":2},{"info":"⋰*⋻670A↪⪝=⋰*⋻258442740","layer":3},{"info":"↩⋰*⋻843=⋰*⋻-4015","layer":3},{"info":"⋰*⋻258442740⪄⋰*⋻-4015=-Inf","layer":2},{"info":"⋰*⋻0/-Inf=⋰*⋻0","layer":1},{"info":"⋰*⋻1032⨓⋰*⋻17A2=⋰*⋻-17A5","layer":3},{"info":"⋰*⋻2892⊉≛↸⋰*⋻3758=⋰*⋻5674","layer":3},{"info":"⋰*⋻-17A5+⇶⊼⋰*⋻5674=NaN","layer":2},{"info":"⋰*⋻1609⪮%⊝⋰*⋻4368=⋰*⋻3384","layer":3},{"info":"⋰*⋻3384↛⩡⫤=⋰*⋻-416754","layer":2},{"info":"NaN⇼⇔∾⋰*⋻-416754=NaN","layer":1},{"info":"⋰*⋻0⨵⪆NaN=⋰*⋻136","layer":0}]}
{"id":496,"expression_no_base_symbol":"(-$1296$⨸⪁$2991$)⩚⊴⇥($5033$⪒$3483$)⪢($2224$⫥∨⫟$3954$)+($1695$/$2161$)⫸⊐$1432$↺$3064$%$2407$⪛$1354$∲⫓(⪲⇎$2962$)","expression":"(-⋰*⋻A79⨸⪁⋰*⋻227A)⩚⊴⇥(⋰*⋻3866⪒⋰*⋻2687)⪢(⋰*⋻1742⫥∨⫟⋰*⋻2A75)+(⋰*⋻1301/⋰*⋻1695)⫸⊐⋰*⋻1092↺⋰*⋻2336%⋰*⋻1899⪛⋰*⋻1021∲⫓(⪲⇎⋰*⋻2253)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":182,"operation_count":14,"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":1296,"base":11},"right_expr":{"type":"numeric_atoms","value":2991,"base":11}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":5033,"base":11},"right_expr":{"type":"numeric_atoms","value":3483,"base":11}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2224,"base":11},"right_expr":{"type":"numeric_atoms","value":3954,"base":11}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1695,"base":11},"right_expr":{"type":"numeric_atoms","value":2161,"base":11}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1432,"base":11},"right_expr":{"type":"numeric_atoms","value":3064,"base":11}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2407,"base":11},"right_expr":{"type":"numeric_atoms","value":1354,"base":11}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":2962,"base":11}}}}},"used_operators":["W4YGzv6Whe","NTOWxs364D","t8gj7n24qd","g55IO6H4Gj","dWAJyo7jo9","f6k1SAg4EE","KYD54nUTWz","k8jYdgA6NY","mqXw5SEYmG","XhwjNDsVaA","7j4O788W3g","i8ToyICDmI","uFcxV4UQCh","XPYlsWDdGa"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1296","layer":4},{"info":"number node, value=2991","layer":4},{"info":"compute binary expreesion, left_input=1296, right_input=2991, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=8574","layer":3},{"info":"compute unary expreesion, input=8574, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-8574","layer":2},{"info":"number node, value=5033","layer":4},{"info":"number node, value=3483","layer":4},{"info":"compute binary expreesion, left_input=5033, right_input=3483, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8516","layer":3},{"info":"number node, value=2224","layer":4},{"info":"number node, value=3954","layer":4},{"info":"compute binary expreesion, left_input=2224, right_input=3954, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-8516, 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=-8574, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"number node, value=1695","layer":4},{"info":"number node, value=2161","layer":4},{"info":"compute binary expreesion, left_input=1695, right_input=2161, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=1432","layer":4},{"info":"number node, value=3064","layer":4},{"info":"compute binary expreesion, left_input=1432, right_input=3064, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3064","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3064, 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=2407","layer":4},{"info":"number node, value=1354","layer":4},{"info":"compute binary expreesion, left_input=2407, right_input=1354, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1053","layer":3},{"info":"number node, value=2962","layer":4},{"info":"compute unary expreesion, input=2962, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=5924","layer":3},{"info":"compute binary expreesion, left_input=1053, right_input=5924, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"(-⋰*⋻A79⨸⪁⋰*⋻227A)⩚⊴⇥(⋰*⋻3866⪒⋰*⋻2687)⪢(⋰*⋻1742⫥∨⫟⋰*⋻2A75)+(⋰*⋻1301/⋰*⋻1695)⫸⊐⋰*⋻1092↺⋰*⋻2336%⋰*⋻1899⪛⋰*⋻1021∲⫓(⪲⇎⋰*⋻2253)=NaN","reverse_text":"NaN=(-⋰*⋻A79⨸⪁⋰*⋻227A)⩚⊴⇥(⋰*⋻3866⪒⋰*⋻2687)⪢(⋰*⋻1742⫥∨⫟⋰*⋻2A75)+(⋰*⋻1301/⋰*⋻1695)⫸⊐⋰*⋻1092↺⋰*⋻2336%⋰*⋻1899⪛⋰*⋻1021∲⫓(⪲⇎⋰*⋻2253)","cot":[{"info":"⋰*⋻A79⨸⪁⋰*⋻227A=⋰*⋻6495","layer":3},{"info":"-⋰*⋻6495=⋰*⋻-6495","layer":2},{"info":"⋰*⋻3866⪒⋰*⋻2687=⋰*⋻-6442","layer":3},{"info":"⋰*⋻1742⫥∨⫟⋰*⋻2A75=NaN","layer":3},{"info":"⋰*⋻-6442⪢NaN=NaN","layer":2},{"info":"⋰*⋻-6495⩚⊴⇥NaN=NaN","layer":1},{"info":"⋰*⋻1301/⋰*⋻1695=⋰*⋻0","layer":3},{"info":"⋰*⋻1092↺⋰*⋻2336=⋰*⋻2336","layer":3},{"info":"⋰*⋻0⫸⊐⋰*⋻2336=⋰*⋻0","layer":2},{"info":"⋰*⋻1899⪛⋰*⋻1021=⋰*⋻878","layer":3},{"info":"⪲⇎⋰*⋻2253=⋰*⋻44A6","layer":3},{"info":"⋰*⋻878∲⫓⋰*⋻44A6=⋰*⋻0","layer":2},{"info":"⋰*⋻0%⋰*⋻0=NaN","layer":1},{"info":"NaN+NaN=NaN","layer":0}]}
{"id":497,"expression_no_base_symbol":"(⩦⩻⨪(↽≂($4370$⫡⨏$3715$)))⫸⊐($1725$↬$3189$⊭↱$2323$⫥∨⫟$1251$)⪢(⩦⩻⨪($3692$⩤))","expression":"(⩦⩻⨪(↽≂(⋰*⋻3313⫡⨏⋰*⋻2878)))⫸⊐(⋰*⋻1329↬⋰*⋻243A⊭↱⋰*⋻1822⫥∨⫟⋰*⋻A38)⪢(⩦⩻⨪(⋰*⋻2857⩤))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3874,"operation_count":10,"complexity_ratio":387.4,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4370,"base":11},"right_expr":{"type":"numeric_atoms","value":3715,"base":11}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1725,"base":11},"right_expr":{"type":"numeric_atoms","value":3189,"base":11}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2323,"base":11},"right_expr":{"type":"numeric_atoms","value":1251,"base":11}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":3692,"base":11}}}}},"used_operators":["mqXw5SEYmG","2td37pGCOC","u6S6b8DprG","QMFrweE19q","dWAJyo7jo9","COABgblf1C","B5M0gjZbta","KYD54nUTWz","Z2TMIBDE3Q"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd"],"result":"⋰*⋻800","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4370","layer":4},{"info":"number node, value=3715","layer":4},{"info":"compute binary expreesion, left_input=4370, right_input=3715, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=30063","layer":3},{"info":"compute unary expreesion, input=30063, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-60126","layer":2},{"info":"compute unary expreesion, input=-60126, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-60126","layer":1},{"info":"number node, value=1725","layer":4},{"info":"number node, value=3189","layer":4},{"info":"compute binary expreesion, left_input=1725, right_input=3189, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=2323","layer":4},{"info":"number node, value=1251","layer":4},{"info":"compute binary expreesion, left_input=2323, right_input=1251, 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 = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"number node, value=3692","layer":4},{"info":"compute unary expreesion, input=3692, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-3692","layer":3},{"info":"compute unary expreesion, input=-3692, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-3692","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3692, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=-60126, 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":11,"result_base":11,"text":"(⩦⩻⨪(↽≂(⋰*⋻3313⫡⨏⋰*⋻2878)))⫸⊐(⋰*⋻1329↬⋰*⋻243A⊭↱⋰*⋻1822⫥∨⫟⋰*⋻A38)⪢(⩦⩻⨪(⋰*⋻2857⩤))=⋰*⋻800","reverse_text":"⋰*⋻800=(⩦⩻⨪(↽≂(⋰*⋻3313⫡⨏⋰*⋻2878)))⫸⊐(⋰*⋻1329↬⋰*⋻243A⊭↱⋰*⋻1822⫥∨⫟⋰*⋻A38)⪢(⩦⩻⨪(⋰*⋻2857⩤))","cot":[{"info":"⋰*⋻3313⫡⨏⋰*⋻2878=⋰*⋻20650","layer":3},{"info":"↽≂⋰*⋻20650=⋰*⋻-411A0","layer":2},{"info":"⩦⩻⨪⋰*⋻-411A0=⋰*⋻-411A0","layer":1},{"info":"⋰*⋻1329↬⋰*⋻243A=NaN","layer":3},{"info":"⋰*⋻1822⫥∨⫟⋰*⋻A38=NaN","layer":3},{"info":"NaN⊭↱NaN=NaN","layer":2},{"info":"⋰*⋻2857⩤=⋰*⋻-2857","layer":3},{"info":"⩦⩻⨪⋰*⋻-2857=⋰*⋻-2857","layer":2},{"info":"NaN⪢⋰*⋻-2857=NaN","layer":1},{"info":"⋰*⋻-411A0⫸⊐NaN=⋰*⋻800","layer":0}]}
{"id":498,"expression_no_base_symbol":"↯⪼(∥⊫$5912$≹⇙⪍$2229$)⪢(-(⇁⨣⪵$1004$))","expression":"↯⪼(∥⊫⋰*⋻4495≹⇙⪍⋰*⋻1747)⪢(-(⇁⨣⪵⋰*⋻833))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":38,"operation_count":6,"complexity_ratio":6.333333333333333,"tree":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5912,"base":11},"right_expr":{"type":"numeric_atoms","value":2229,"base":11}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1004,"base":11}}}}},"used_operators":["8jW3W4yZS5","dWAJyo7jo9","P8v4zCKN1o","AHs5Up7iyr","t8gj7n24qd","inkyxCbjAn"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","B5M0gjZbta"],"result":"⋰*⋻-1A","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=5912","layer":4},{"info":"number node, value=2229","layer":4},{"info":"compute binary expreesion, left_input=5912, right_input=2229, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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":"number node, value=1004","layer":4},{"info":"compute unary expreesion, input=1004, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":0}],"base":11,"result_base":11,"text":"↯⪼(∥⊫⋰*⋻4495≹⇙⪍⋰*⋻1747)⪢(-(⇁⨣⪵⋰*⋻833))=⋰*⋻-1A","reverse_text":"⋰*⋻-1A=↯⪼(∥⊫⋰*⋻4495≹⇙⪍⋰*⋻1747)⪢(-(⇁⨣⪵⋰*⋻833))","cot":[{"info":"⋰*⋻4495≹⇙⪍⋰*⋻1747=NaN","layer":3},{"info":"∥⊫NaN=NaN","layer":2},{"info":"⇁⨣⪵⋰*⋻833=NaN","layer":3},{"info":"-NaN=NaN","layer":2},{"info":"NaN⪢NaN=NaN","layer":1},{"info":"↯⪼NaN=⋰*⋻-1A","layer":0}]}
{"id":499,"expression_no_base_symbol":"(↩($2807$⊉≛↸$4108$)⋥≓≎($2430$⋷$4483$))⪛(-($4355$↺$1890$)⋝⋈⪟$1165$⨟⋌⩍$2510$)","expression":"(↩(⋰*⋻2122⊉≛↸⋰*⋻30A5)⋥≓≎(⋰*⋻190A⋷⋰*⋻3406))⪛(-(⋰*⋻32AA↺⋰*⋻1469)⋝⋈⪟⋰*⋻96A⨟⋌⩍⋰*⋻1982)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":36,"operation_count":9,"complexity_ratio":4.0,"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":2807,"base":11},"right_expr":{"type":"numeric_atoms","value":4108,"base":11}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2430,"base":11},"right_expr":{"type":"numeric_atoms","value":4483,"base":11}}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":4355,"base":11},"right_expr":{"type":"numeric_atoms","value":1890,"base":11}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1165,"base":11},"right_expr":{"type":"numeric_atoms","value":2510,"base":11}}}}},"used_operators":["uFcxV4UQCh","jLgFTUHLKL","Qy55tPpLXF","DZ8iAZOCBD","23Mk6UjR3U","t8gj7n24qd","2DDjHMKMc0","7j4O788W3g","rGHVDoGpnC"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2807","layer":4},{"info":"number node, value=4108","layer":4},{"info":"compute binary expreesion, left_input=2807, right_input=4108, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5614","layer":3},{"info":"number node, value=2430","layer":4},{"info":"number node, value=4483","layer":4},{"info":"compute binary expreesion, left_input=2430, right_input=4483, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=6536","layer":3},{"info":"compute binary expreesion, left_input=5614, right_input=6536, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=7491","layer":2},{"info":"compute unary expreesion, input=7491, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-57148","layer":1},{"info":"number node, value=4355","layer":4},{"info":"number node, value=1890","layer":4},{"info":"compute binary expreesion, left_input=4355, right_input=1890, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1890","layer":3},{"info":"number node, value=1165","layer":4},{"info":"number node, value=2510","layer":4},{"info":"compute binary expreesion, left_input=1165, right_input=2510, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1890, 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 = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-57148, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(↩(⋰*⋻2122⊉≛↸⋰*⋻30A5)⋥≓≎(⋰*⋻190A⋷⋰*⋻3406))⪛(-(⋰*⋻32AA↺⋰*⋻1469)⋝⋈⪟⋰*⋻96A⨟⋌⩍⋰*⋻1982)=NaN","reverse_text":"NaN=(↩(⋰*⋻2122⊉≛↸⋰*⋻30A5)⋥≓≎(⋰*⋻190A⋷⋰*⋻3406))⪛(-(⋰*⋻32AA↺⋰*⋻1469)⋝⋈⪟⋰*⋻96A⨟⋌⩍⋰*⋻1982)","cot":[{"info":"⋰*⋻2122⊉≛↸⋰*⋻30A5=⋰*⋻4244","layer":3},{"info":"⋰*⋻190A⋷⋰*⋻3406=⋰*⋻4A02","layer":3},{"info":"⋰*⋻4244⋥≓≎⋰*⋻4A02=⋰*⋻56A0","layer":2},{"info":"↩⋰*⋻56A0=⋰*⋻-39A33","layer":1},{"info":"⋰*⋻32AA↺⋰*⋻1469=⋰*⋻1469","layer":3},{"info":"⋰*⋻96A⨟⋌⩍⋰*⋻1982=NaN","layer":3},{"info":"⋰*⋻1469⋝⋈⪟NaN=NaN","layer":2},{"info":"-NaN=NaN","layer":1},{"info":"⋰*⋻-39A33⪛NaN=NaN","layer":0}]}
{"id":500,"expression_no_base_symbol":"⩦⩻⨪(($6046$⋫)⫥∨⫟(⊄⩳↩$5782$))⇷($7991$⊴$6856$⋥≓≎$1688$≎⊠⪸$4654$)","expression":"⩦⩻⨪((⋰*⋻45A7⋫)⫥∨⫟(⊄⩳↩⋰*⋻4387))⇷(⋰*⋻6005⊴⋰*⋻5173⋥≓≎⋰*⋻12A5≎⊠⪸⋰*⋻3551)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":23353,"operation_count":8,"complexity_ratio":2919.125,"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":6046,"base":11}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":5782,"base":11}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":7991,"base":11},"right_expr":{"type":"numeric_atoms","value":6856,"base":11}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1688,"base":11},"right_expr":{"type":"numeric_atoms","value":4654,"base":11}}}}},"used_operators":["2td37pGCOC","mp7IySMOzn","KYD54nUTWz","JL8yIekQnl","8w2t5hMYqp","Qy55tPpLXF","Nsiff2A1zJ","bJkvcejdHO"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC","tmPS8pqC7x","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⋰*⋻112","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6046","layer":4},{"info":"compute unary expreesion, input=6046, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=6046","layer":3},{"info":"number node, value=5782","layer":4},{"info":"compute unary expreesion, input=5782, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-17346","layer":3},{"info":"compute binary expreesion, left_input=6046, right_input=-17346, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=7991","layer":4},{"info":"number node, value=6856","layer":4},{"info":"compute binary expreesion, left_input=7991, right_input=6856, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1688","layer":4},{"info":"number node, value=4654","layer":4},{"info":"compute binary expreesion, left_input=1688, right_input=4654, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=436719","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=436719, 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 = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=134","layer":1},{"info":"compute unary expreesion, input=134, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=134","layer":0}],"base":11,"result_base":11,"text":"⩦⩻⨪((⋰*⋻45A7⋫)⫥∨⫟(⊄⩳↩⋰*⋻4387))⇷(⋰*⋻6005⊴⋰*⋻5173⋥≓≎⋰*⋻12A5≎⊠⪸⋰*⋻3551)=⋰*⋻112","reverse_text":"⋰*⋻112=⩦⩻⨪((⋰*⋻45A7⋫)⫥∨⫟(⊄⩳↩⋰*⋻4387))⇷(⋰*⋻6005⊴⋰*⋻5173⋥≓≎⋰*⋻12A5≎⊠⪸⋰*⋻3551)","cot":[{"info":"⋰*⋻45A7⋫=⋰*⋻45A7","layer":3},{"info":"⊄⩳↩⋰*⋻4387=⋰*⋻-1203A","layer":3},{"info":"⋰*⋻45A7⫥∨⫟⋰*⋻-1203A=NaN","layer":2},{"info":"⋰*⋻6005⊴⋰*⋻5173=NaN","layer":3},{"info":"⋰*⋻12A5≎⊠⪸⋰*⋻3551=⋰*⋻279128","layer":3},{"info":"NaN⋥≓≎⋰*⋻279128=⋰*⋻61","layer":2},{"info":"NaN⇷⋰*⋻61=⋰*⋻112","layer":1},{"info":"⩦⩻⨪⋰*⋻112=⋰*⋻112","layer":0}]}
{"id":501,"expression_no_base_symbol":"⩦⩻⨪(∂(≤/$8072$))⋥≓≎($1136$⨽$2989$)⫥∨⫟(⇁⨣⪵$1061$)","expression":"⩦⩻⨪(∂(≤/⋰*⋻6079))⋥≓≎(⋰*⋻943⨽⋰*⋻2278)⫥∨⫟(⇁⨣⪵⋰*⋻885)","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1725,"operation_count":7,"complexity_ratio":246.42857142857142,"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":8072,"base":11}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1136,"base":11},"right_expr":{"type":"numeric_atoms","value":2989,"base":11}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1061,"base":11}}}}},"used_operators":["2td37pGCOC","Qy55tPpLXF","Uaa54Peajs","eLAdDNolq6","KYD54nUTWz","8HhzD0ZcuI","inkyxCbjAn"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=8072","layer":4},{"info":"compute unary expreesion, input=8072, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-7588","layer":3},{"info":"compute unary expreesion, input=-7588, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=7324","layer":2},{"info":"number node, value=1136","layer":4},{"info":"number node, value=2989","layer":4},{"info":"compute binary expreesion, left_input=1136, right_input=2989, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3879141","layer":3},{"info":"number node, value=1061","layer":4},{"info":"compute unary expreesion, input=1061, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3879141, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=7324, 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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⩦⩻⨪(∂(≤/⋰*⋻6079))⋥≓≎(⋰*⋻943⨽⋰*⋻2278)⫥∨⫟(⇁⨣⪵⋰*⋻885)=NaN","reverse_text":"NaN=⩦⩻⨪(∂(≤/⋰*⋻6079))⋥≓≎(⋰*⋻943⨽⋰*⋻2278)⫥∨⫟(⇁⨣⪵⋰*⋻885)","cot":[{"info":"≤/⋰*⋻6079=⋰*⋻-5779","layer":3},{"info":"∂⋰*⋻-5779=⋰*⋻5559","layer":2},{"info":"⋰*⋻943⨽⋰*⋻2278=⋰*⋻-220A502","layer":3},{"info":"⇁⨣⪵⋰*⋻885=NaN","layer":3},{"info":"⋰*⋻-220A502⫥∨⫟NaN=NaN","layer":2},{"info":"⋰*⋻5559⋥≓≎NaN=NaN","layer":1},{"info":"⩦⩻⨪NaN=NaN","layer":0}]}
{"id":502,"expression_no_base_symbol":"$1445$⋓$3772$⋝⋈⪟($2426$*$2430$)⋷($7055$⋳⪒$3888$)↬($1164$⊉≛↸$2850$)⪨≂$4363$∼$2843$⪄($1511$⫩⊇)⊭↱($2877$⩚⊴⇥$7308$/(≉$3659$))","expression":"⋰*⋻10A4⋓⋰*⋻291A⋝⋈⪟(⋰*⋻1906*⋰*⋻190A)⋷(⋰*⋻5334⋳⪒⋰*⋻2A15)↬(⋰*⋻969⊉≛↸⋰*⋻2161)⪨≂⋰*⋻3307∼⋰*⋻2155⪄(⋰*⋻1154⫩⊇)⊭↱(⋰*⋻2186⩚⊴⇥⋰*⋻5544/(≉⋰*⋻2827))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2582,"operation_count":15,"complexity_ratio":172.13333333333333,"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":1445,"base":11},"right_expr":{"type":"numeric_atoms","value":3772,"base":11}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2426,"base":11},"right_expr":{"type":"numeric_atoms","value":2430,"base":11}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":7055,"base":11},"right_expr":{"type":"numeric_atoms","value":3888,"base":11}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1164,"base":11},"right_expr":{"type":"numeric_atoms","value":2850,"base":11}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4363,"base":11},"right_expr":{"type":"numeric_atoms","value":2843,"base":11}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":1511,"base":11}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2877,"base":11},"right_expr":{"type":"numeric_atoms","value":7308,"base":11}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":3659,"base":11}}}}},"used_operators":["sdazOOVcIp","23Mk6UjR3U","2DDjHMKMc0","T2fj7uvVaJ","9HNa5Wba9A","B5M0gjZbta","12rbrZMWeM","DZ8iAZOCBD","COABgblf1C","SUmda5xLS4","DyGG3AbaNP","BjRHVeLaeN","XhwjNDsVaA","NTOWxs364D","e1ybzncUwg"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻11044","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1445","layer":4},{"info":"number node, value=3772","layer":4},{"info":"compute binary expreesion, left_input=1445, right_input=3772, op_id = T2fj7uvVaJ binary_op_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=2426","layer":4},{"info":"number node, value=2430","layer":4},{"info":"compute binary expreesion, left_input=2426, right_input=2430, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=5895180","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5895180, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=0","layer":2},{"info":"number node, value=7055","layer":4},{"info":"number node, value=3888","layer":4},{"info":"compute binary expreesion, left_input=7055, right_input=3888, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=9935","layer":3},{"info":"number node, value=1164","layer":4},{"info":"number node, value=2850","layer":4},{"info":"compute binary expreesion, left_input=1164, right_input=2850, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2328","layer":3},{"info":"compute binary expreesion, left_input=9935, right_input=2328, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=0","layer":1},{"info":"number node, value=4363","layer":4},{"info":"number node, value=2843","layer":4},{"info":"compute binary expreesion, left_input=4363, right_input=2843, 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=1511","layer":4},{"info":"compute unary expreesion, input=1511, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1469","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1469, 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=2877","layer":4},{"info":"number node, value=7308","layer":4},{"info":"compute binary expreesion, left_input=2877, right_input=7308, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-10306","layer":3},{"info":"number node, value=3659","layer":4},{"info":"compute unary expreesion, input=3659, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=4190","layer":3},{"info":"compute binary expreesion, left_input=-10306, right_input=4190, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-3","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=-3, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-7959","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-7959, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=16020","layer":0}],"base":11,"result_base":11,"text":"⋰*⋻10A4⋓⋰*⋻291A⋝⋈⪟(⋰*⋻1906*⋰*⋻190A)⋷(⋰*⋻5334⋳⪒⋰*⋻2A15)↬(⋰*⋻969⊉≛↸⋰*⋻2161)⪨≂⋰*⋻3307∼⋰*⋻2155⪄(⋰*⋻1154⫩⊇)⊭↱(⋰*⋻2186⩚⊴⇥⋰*⋻5544/(≉⋰*⋻2827))=⋰*⋻11044","reverse_text":"⋰*⋻11044=⋰*⋻10A4⋓⋰*⋻291A⋝⋈⪟(⋰*⋻1906*⋰*⋻190A)⋷(⋰*⋻5334⋳⪒⋰*⋻2A15)↬(⋰*⋻969⊉≛↸⋰*⋻2161)⪨≂⋰*⋻3307∼⋰*⋻2155⪄(⋰*⋻1154⫩⊇)⊭↱(⋰*⋻2186⩚⊴⇥⋰*⋻5544/(≉⋰*⋻2827))","cot":[{"info":"⋰*⋻10A4⋓⋰*⋻291A=⋰*⋻0","layer":3},{"info":"⋰*⋻1906*⋰*⋻190A=⋰*⋻3367155","layer":3},{"info":"⋰*⋻0⋝⋈⪟⋰*⋻3367155=⋰*⋻0","layer":2},{"info":"⋰*⋻5334⋳⪒⋰*⋻2A15=⋰*⋻7512","layer":3},{"info":"⋰*⋻969⊉≛↸⋰*⋻2161=⋰*⋻1827","layer":3},{"info":"⋰*⋻7512↬⋰*⋻1827=NaN","layer":2},{"info":"⋰*⋻0⋷NaN=⋰*⋻0","layer":1},{"info":"⋰*⋻3307∼⋰*⋻2155=NaN","layer":3},{"info":"⋰*⋻1154⫩⊇=⋰*⋻-1116","layer":3},{"info":"NaN⪄⋰*⋻-1116=⋰*⋻2A98","layer":2},{"info":"⋰*⋻2186⩚⊴⇥⋰*⋻5544=⋰*⋻-781A","layer":3},{"info":"≉⋰*⋻2827=⋰*⋻316A","layer":3},{"info":"⋰*⋻-781A/⋰*⋻316A=⋰*⋻-3","layer":2},{"info":"⋰*⋻2A98⊭↱⋰*⋻-3=⋰*⋻-5A86","layer":1},{"info":"⋰*⋻0⪨≂⋰*⋻-5A86=⋰*⋻11044","layer":0}]}
{"id":503,"expression_no_base_symbol":"((↽≂$3664$)*$1791$⪮%⊝$2986$⪨≂($4834$/$4576$)⊭↱$8008$⨟⋌⩍$4765$)⊭∹↮","expression":"((↽≂⋰*⋻2831)*⋰*⋻1389⪮%⊝⋰*⋻2275⪨≂(⋰*⋻36A5/⋰*⋻3490)⊭↱⋰*⋻6020⨟⋌⩍⋰*⋻3642)⊭∹↮","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3929,"operation_count":8,"complexity_ratio":491.125,"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":3664,"base":11}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1791,"base":11},"right_expr":{"type":"numeric_atoms","value":2986,"base":11}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4834,"base":11},"right_expr":{"type":"numeric_atoms","value":4576,"base":11}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":8008,"base":11},"right_expr":{"type":"numeric_atoms","value":4765,"base":11}}}}},"used_operators":["xNBdhnnwKq","sdazOOVcIp","9HNa5Wba9A","u6S6b8DprG","IWmyXbctLI","COABgblf1C","XhwjNDsVaA","rGHVDoGpnC"],"dependent_operators":["2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3664","layer":4},{"info":"compute unary expreesion, input=3664, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-7328","layer":3},{"info":"number node, value=1791","layer":4},{"info":"number node, value=2986","layer":4},{"info":"compute binary expreesion, left_input=1791, right_input=2986, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3898","layer":3},{"info":"compute binary expreesion, left_input=-7328, right_input=3898, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-28564544","layer":2},{"info":"number node, value=4834","layer":4},{"info":"number node, value=4576","layer":4},{"info":"compute binary expreesion, left_input=4834, right_input=4576, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"number node, value=8008","layer":4},{"info":"number node, value=4765","layer":4},{"info":"compute binary expreesion, left_input=8008, right_input=4765, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-28564544, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((↽≂⋰*⋻2831)*⋰*⋻1389⪮%⊝⋰*⋻2275⪨≂(⋰*⋻36A5/⋰*⋻3490)⊭↱⋰*⋻6020⨟⋌⩍⋰*⋻3642)⊭∹↮=NaN","reverse_text":"NaN=((↽≂⋰*⋻2831)*⋰*⋻1389⪮%⊝⋰*⋻2275⪨≂(⋰*⋻36A5/⋰*⋻3490)⊭↱⋰*⋻6020⨟⋌⩍⋰*⋻3642)⊭∹↮","cot":[{"info":"↽≂⋰*⋻2831=⋰*⋻-5562","layer":3},{"info":"⋰*⋻1389⪮%⊝⋰*⋻2275=⋰*⋻2A24","layer":3},{"info":"⋰*⋻-5562*⋰*⋻2A24=⋰*⋻-1513AA68","layer":2},{"info":"⋰*⋻36A5/⋰*⋻3490=⋰*⋻1","layer":3},{"info":"⋰*⋻6020⨟⋌⩍⋰*⋻3642=NaN","layer":3},{"info":"⋰*⋻1⊭↱NaN=NaN","layer":2},{"info":"⋰*⋻-1513AA68⪨≂NaN=NaN","layer":1},{"info":"NaN⊭∹↮=NaN","layer":0}]}
{"id":504,"expression_no_base_symbol":"($2493$⋝⋈⪟$2042$⨽$2358$∀⇚≩$4885$)∀⇚≩(($5501$⨵⪆$6710$)⊉≛↸(↽≂$2174$))⨸⪁((↩(⇁⨣⪵$2623$))⫡⨏(-($2145$⪨≂$8070$)))","expression":"(⋰*⋻1967⋝⋈⪟⋰*⋻1597⨽⋰*⋻1854∀⇚≩⋰*⋻3741)∀⇚≩((⋰*⋻4151⨵⪆⋰*⋻5050)⊉≛↸(↽≂⋰*⋻16A7))⨸⪁((↩(⇁⨣⪵⋰*⋻1A75))⫡⨏(-(⋰*⋻1680⪨≂⋰*⋻6077)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":19054,"operation_count":13,"complexity_ratio":1465.6923076923076,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2493,"base":11},"right_expr":{"type":"numeric_atoms","value":2042,"base":11}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2358,"base":11},"right_expr":{"type":"numeric_atoms","value":4885,"base":11}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":5501,"base":11},"right_expr":{"type":"numeric_atoms","value":6710,"base":11}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2174,"base":11}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2623,"base":11}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2145,"base":11},"right_expr":{"type":"numeric_atoms","value":8070,"base":11}}}}},"used_operators":["g55IO6H4Gj","LRNGc0VcxI","8HhzD0ZcuI","2DDjHMKMc0","DZ8iAZOCBD","2DQ55sFlQl","u6S6b8DprG","QMFrweE19q","jLgFTUHLKL","inkyxCbjAn","t8gj7n24qd","sdazOOVcIp"],"dependent_operators":["W4YGzv6Whe","X99M06cbEe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2493","layer":4},{"info":"number node, value=2042","layer":4},{"info":"compute binary expreesion, left_input=2493, right_input=2042, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2493","layer":3},{"info":"number node, value=2358","layer":4},{"info":"number node, value=4885","layer":4},{"info":"compute binary expreesion, left_input=2358, right_input=4885, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=2493, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"number node, value=5501","layer":4},{"info":"number node, value=6710","layer":4},{"info":"compute binary expreesion, left_input=5501, right_input=6710, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=2174","layer":4},{"info":"compute unary expreesion, input=2174, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-4348","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-4348, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=320","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=320, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=2623","layer":4},{"info":"compute unary expreesion, input=2623, op_id = inkyxCbjAn, 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=2145","layer":4},{"info":"number node, value=8070","layer":4},{"info":"compute binary expreesion, left_input=2145, right_input=8070, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-11748","layer":3},{"info":"compute unary expreesion, input=-11748, op_id = t8gj7n24qd, unary_op_definition = 'None', output=11748","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=11748, op_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 = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1967⋝⋈⪟⋰*⋻1597⨽⋰*⋻1854∀⇚≩⋰*⋻3741)∀⇚≩((⋰*⋻4151⨵⪆⋰*⋻5050)⊉≛↸(↽≂⋰*⋻16A7))⨸⪁((↩(⇁⨣⪵⋰*⋻1A75))⫡⨏(-(⋰*⋻1680⪨≂⋰*⋻6077)))=NaN","reverse_text":"NaN=(⋰*⋻1967⋝⋈⪟⋰*⋻1597⨽⋰*⋻1854∀⇚≩⋰*⋻3741)∀⇚≩((⋰*⋻4151⨵⪆⋰*⋻5050)⊉≛↸(↽≂⋰*⋻16A7))⨸⪁((↩(⇁⨣⪵⋰*⋻1A75))⫡⨏(-(⋰*⋻1680⪨≂⋰*⋻6077)))","cot":[{"info":"⋰*⋻1967⋝⋈⪟⋰*⋻1597=⋰*⋻1967","layer":3},{"info":"⋰*⋻1854∀⇚≩⋰*⋻3741=NaN","layer":3},{"info":"⋰*⋻1967⨽NaN=NaN","layer":2},{"info":"⋰*⋻4151⨵⪆⋰*⋻5050=⋰*⋻136","layer":3},{"info":"↽≂⋰*⋻16A7=⋰*⋻-32A3","layer":3},{"info":"⋰*⋻136⊉≛↸⋰*⋻-32A3=⋰*⋻271","layer":2},{"info":"NaN∀⇚≩⋰*⋻271=NaN","layer":1},{"info":"⇁⨣⪵⋰*⋻1A75=NaN","layer":3},{"info":"↩NaN=NaN","layer":2},{"info":"⋰*⋻1680⪨≂⋰*⋻6077=⋰*⋻-8910","layer":3},{"info":"-⋰*⋻-8910=⋰*⋻8910","layer":2},{"info":"NaN⫡⨏⋰*⋻8910=NaN","layer":1},{"info":"NaN⨸⪁NaN=NaN","layer":0}]}
{"id":505,"expression_no_base_symbol":"((↣≠⋷($8834$↺$2948$))+($1259$/$3102$)⋝⋈⪟($1591$⨐⩸⫘$5204$))↬((($1536$⪄$5913$)⫥∨⫟($3283$≦≮≮))≎⊠⪸($1914$⋝⋈⪟$1429$⊭↱(-$1865$)))","expression":"((↣≠⋷(⋰*⋻6701↺⋰*⋻2240))+(⋰*⋻A45/⋰*⋻2370)⋝⋈⪟(⋰*⋻1217⨐⩸⫘⋰*⋻3A01))↬(((⋰*⋻1177⪄⋰*⋻4496)⫥∨⫟(⋰*⋻2515≦≮≮))≎⊠⪸(⋰*⋻1490⋝⋈⪟⋰*⋻108A⊭↱(-⋰*⋻1446)))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":285,"operation_count":14,"complexity_ratio":20.357142857142858,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":8834,"base":11},"right_expr":{"type":"numeric_atoms","value":2948,"base":11}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1259,"base":11},"right_expr":{"type":"numeric_atoms","value":3102,"base":11}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1591,"base":11},"right_expr":{"type":"numeric_atoms","value":5204,"base":11}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1536,"base":11},"right_expr":{"type":"numeric_atoms","value":5913,"base":11}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":3283,"base":11}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1914,"base":11},"right_expr":{"type":"numeric_atoms","value":1429,"base":11}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1865,"base":11}}}}},"used_operators":["B5M0gjZbta","W4YGzv6Whe","Asc51vEJeQ","7j4O788W3g","2DDjHMKMc0","XhwjNDsVaA","fu6greOZ01","bJkvcejdHO","KYD54nUTWz","SUmda5xLS4","D4vGDi5EA2","COABgblf1C","t8gj7n24qd"],"dependent_operators":["rGHVDoGpnC","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","3ViojmjbAp","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","8HhzD0ZcuI","rGHVDoGpnC","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=8834","layer":4},{"info":"number node, value=2948","layer":4},{"info":"compute binary expreesion, left_input=8834, right_input=2948, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2948","layer":3},{"info":"compute unary expreesion, input=2948, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=1259","layer":4},{"info":"number node, value=3102","layer":4},{"info":"compute binary expreesion, left_input=1259, right_input=3102, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=1591","layer":4},{"info":"number node, value=5204","layer":4},{"info":"compute binary expreesion, left_input=1591, right_input=5204, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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 = 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":"number node, value=1536","layer":4},{"info":"number node, value=5913","layer":4},{"info":"compute binary expreesion, left_input=1536, right_input=5913, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-247069","layer":3},{"info":"number node, value=3283","layer":4},{"info":"compute unary expreesion, input=3283, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-9849","layer":3},{"info":"compute binary expreesion, left_input=-247069, right_input=-9849, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1914","layer":4},{"info":"number node, value=1429","layer":4},{"info":"compute binary expreesion, left_input=1914, right_input=1429, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1914","layer":3},{"info":"number node, value=1865","layer":4},{"info":"compute unary expreesion, input=1865, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1865","layer":3},{"info":"compute binary expreesion, left_input=1914, right_input=-1865, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-7553","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-7553, 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 = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"((↣≠⋷(⋰*⋻6701↺⋰*⋻2240))+(⋰*⋻A45/⋰*⋻2370)⋝⋈⪟(⋰*⋻1217⨐⩸⫘⋰*⋻3A01))↬(((⋰*⋻1177⪄⋰*⋻4496)⫥∨⫟(⋰*⋻2515≦≮≮))≎⊠⪸(⋰*⋻1490⋝⋈⪟⋰*⋻108A⊭↱(-⋰*⋻1446)))=NaN","reverse_text":"NaN=((↣≠⋷(⋰*⋻6701↺⋰*⋻2240))+(⋰*⋻A45/⋰*⋻2370)⋝⋈⪟(⋰*⋻1217⨐⩸⫘⋰*⋻3A01))↬(((⋰*⋻1177⪄⋰*⋻4496)⫥∨⫟(⋰*⋻2515≦≮≮))≎⊠⪸(⋰*⋻1490⋝⋈⪟⋰*⋻108A⊭↱(-⋰*⋻1446)))","cot":[{"info":"⋰*⋻6701↺⋰*⋻2240=⋰*⋻2240","layer":3},{"info":"↣≠⋷⋰*⋻2240=NaN","layer":2},{"info":"⋰*⋻A45/⋰*⋻2370=⋰*⋻0","layer":3},{"info":"⋰*⋻1217⨐⩸⫘⋰*⋻3A01=NaN","layer":3},{"info":"⋰*⋻0⋝⋈⪟NaN=NaN","layer":2},{"info":"NaN+NaN=NaN","layer":1},{"info":"⋰*⋻1177⪄⋰*⋻4496=⋰*⋻-159699","layer":3},{"info":"⋰*⋻2515≦≮≮=⋰*⋻-7444","layer":3},{"info":"⋰*⋻-159699⫥∨⫟⋰*⋻-7444=NaN","layer":2},{"info":"⋰*⋻1490⋝⋈⪟⋰*⋻108A=⋰*⋻1490","layer":3},{"info":"-⋰*⋻1446=⋰*⋻-1446","layer":3},{"info":"⋰*⋻1490⊭↱⋰*⋻-1446=⋰*⋻-5747","layer":2},{"info":"NaN≎⊠⪸⋰*⋻-5747=⋰*⋻61","layer":1},{"info":"NaN↬⋰*⋻61=NaN","layer":0}]}
{"id":506,"expression_no_base_symbol":"($2703$⋳⪒$1200$⩨($4194$⊠≄⫣))≧⫂∧($2554$⨰$7495$↺$9130$≹⇙⪍$1292$)⊠≄⫣","expression":"(⋰*⋻2038⋳⪒⋰*⋻9A1⩨(⋰*⋻3173⊠≄⫣))≧⫂∧(⋰*⋻1A12⨰⋰*⋻56A4↺⋰*⋻6950≹⇙⪍⋰*⋻A75)⊠≄⫣","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":27,"operation_count":8,"complexity_ratio":3.375,"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":2703,"base":11},"right_expr":{"type":"numeric_atoms","value":1200,"base":11}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":4194,"base":11}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2554,"base":11},"right_expr":{"type":"numeric_atoms","value":7495,"base":11}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":9130,"base":11},"right_expr":{"type":"numeric_atoms","value":1292,"base":11}}}}},"used_operators":["DIvbN7qnHd","Ph9nP6C5qx","2DlMacCsIx","12rbrZMWeM","7j4O788W3g","eewbuw0ToL","AHs5Up7iyr"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2703","layer":4},{"info":"number node, value=1200","layer":4},{"info":"compute binary expreesion, left_input=2703, right_input=1200, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3919","layer":3},{"info":"number node, value=4194","layer":4},{"info":"compute unary expreesion, input=4194, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=3919, 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=2554","layer":4},{"info":"number node, value=7495","layer":4},{"info":"compute binary expreesion, left_input=2554, right_input=7495, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-4931","layer":3},{"info":"number node, value=9130","layer":4},{"info":"number node, value=1292","layer":4},{"info":"compute binary expreesion, left_input=9130, right_input=1292, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=-4931, 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=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":"compute unary expreesion, input=nan, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻2038⋳⪒⋰*⋻9A1⩨(⋰*⋻3173⊠≄⫣))≧⫂∧(⋰*⋻1A12⨰⋰*⋻56A4↺⋰*⋻6950≹⇙⪍⋰*⋻A75)⊠≄⫣=NaN","reverse_text":"NaN=(⋰*⋻2038⋳⪒⋰*⋻9A1⩨(⋰*⋻3173⊠≄⫣))≧⫂∧(⋰*⋻1A12⨰⋰*⋻56A4↺⋰*⋻6950≹⇙⪍⋰*⋻A75)⊠≄⫣","cot":[{"info":"⋰*⋻2038⋳⪒⋰*⋻9A1=⋰*⋻2A43","layer":3},{"info":"⋰*⋻3173⊠≄⫣=⋰*⋻0","layer":3},{"info":"⋰*⋻2A43⩨⋰*⋻0=⋰*⋻0","layer":2},{"info":"⋰*⋻1A12⨰⋰*⋻56A4=⋰*⋻-3783","layer":3},{"info":"⋰*⋻6950≹⇙⪍⋰*⋻A75=NaN","layer":3},{"info":"⋰*⋻-3783↺NaN=NaN","layer":2},{"info":"⋰*⋻0≧⫂∧NaN=NaN","layer":1},{"info":"NaN⊠≄⫣=NaN","layer":0}]}
{"id":507,"expression_no_base_symbol":"($1413$∑⇟⊟$1073$)≹⇙⪍($2846$⨐⩸⫘$2992$)⋳⪒($3395$⊭↱$1058$⊭↱($3687$⪒$1841$))⪒((⪝⪂⫅$6680$)⫌⩹⨱)⊴(($4402$⪄$2481$)↬$4721$∼$2799$)","expression":"(⋰*⋻1075∑⇟⊟⋰*⋻896)≹⇙⪍(⋰*⋻2158⨐⩸⫘⋰*⋻2280)⋳⪒(⋰*⋻2607⊭↱⋰*⋻882⊭↱(⋰*⋻2852⪒⋰*⋻1424))⪒((⪝⪂⫅⋰*⋻5023)⫌⩹⨱)⊴((⋰*⋻3342⪄⋰*⋻1956)↬⋰*⋻3602∼⋰*⋻2115)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":382,"operation_count":14,"complexity_ratio":27.285714285714285,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1413,"base":11},"right_expr":{"type":"numeric_atoms","value":1073,"base":11}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2846,"base":11},"right_expr":{"type":"numeric_atoms","value":2992,"base":11}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3395,"base":11},"right_expr":{"type":"numeric_atoms","value":1058,"base":11}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3687,"base":11},"right_expr":{"type":"numeric_atoms","value":1841,"base":11}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":6680,"base":11}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4402,"base":11},"right_expr":{"type":"numeric_atoms","value":2481,"base":11}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4721,"base":11},"right_expr":{"type":"numeric_atoms","value":2799,"base":11}}}}},"used_operators":["f6k1SAg4EE","12rbrZMWeM","AHs5Up7iyr","U7g4x0WXJJ","fu6greOZ01","COABgblf1C","Nsiff2A1zJ","EBcxylXtPf","XTarYq4gQB","B5M0gjZbta","SUmda5xLS4","DyGG3AbaNP"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","8w2t5hMYqp","rGHVDoGpnC","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1413","layer":4},{"info":"number node, value=1073","layer":4},{"info":"compute binary expreesion, left_input=1413, right_input=1073, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=2846","layer":4},{"info":"number node, value=2992","layer":4},{"info":"compute binary expreesion, left_input=2846, right_input=2992, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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 = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=3395","layer":4},{"info":"number node, value=1058","layer":4},{"info":"compute binary expreesion, left_input=3395, right_input=1058, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-4669","layer":3},{"info":"number node, value=3687","layer":4},{"info":"number node, value=1841","layer":4},{"info":"compute binary expreesion, left_input=3687, right_input=1841, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5528","layer":3},{"info":"compute binary expreesion, left_input=-4669, right_input=-5528, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-1713","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1713, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"number node, value=6680","layer":4},{"info":"compute unary expreesion, input=6680, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-981960","layer":3},{"info":"compute unary expreesion, input=-981960, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=-1962519","layer":2},{"info":"number node, value=4402","layer":4},{"info":"number node, value=2481","layer":4},{"info":"compute binary expreesion, left_input=4402, right_input=2481, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-657509","layer":3},{"info":"number node, value=4721","layer":4},{"info":"number node, value=2799","layer":4},{"info":"compute binary expreesion, left_input=4721, 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":3},{"info":"compute binary expreesion, left_input=-657509, 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=-1962519, 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 = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1075∑⇟⊟⋰*⋻896)≹⇙⪍(⋰*⋻2158⨐⩸⫘⋰*⋻2280)⋳⪒(⋰*⋻2607⊭↱⋰*⋻882⊭↱(⋰*⋻2852⪒⋰*⋻1424))⪒((⪝⪂⫅⋰*⋻5023)⫌⩹⨱)⊴((⋰*⋻3342⪄⋰*⋻1956)↬⋰*⋻3602∼⋰*⋻2115)=NaN","reverse_text":"NaN=(⋰*⋻1075∑⇟⊟⋰*⋻896)≹⇙⪍(⋰*⋻2158⨐⩸⫘⋰*⋻2280)⋳⪒(⋰*⋻2607⊭↱⋰*⋻882⊭↱(⋰*⋻2852⪒⋰*⋻1424))⪒((⪝⪂⫅⋰*⋻5023)⫌⩹⨱)⊴((⋰*⋻3342⪄⋰*⋻1956)↬⋰*⋻3602∼⋰*⋻2115)","cot":[{"info":"⋰*⋻1075∑⇟⊟⋰*⋻896=NaN","layer":3},{"info":"⋰*⋻2158⨐⩸⫘⋰*⋻2280=NaN","layer":3},{"info":"NaN≹⇙⪍NaN=NaN","layer":2},{"info":"⋰*⋻2607⊭↱⋰*⋻882=⋰*⋻-3565","layer":3},{"info":"⋰*⋻2852⪒⋰*⋻1424=⋰*⋻-4176","layer":3},{"info":"⋰*⋻-3565⊭↱⋰*⋻-4176=⋰*⋻-1318","layer":2},{"info":"NaN⋳⪒⋰*⋻-1318=NaN","layer":1},{"info":"⪝⪂⫅⋰*⋻5023=⋰*⋻-610841","layer":3},{"info":"⋰*⋻-610841⫌⩹⨱=⋰*⋻-1120519","layer":2},{"info":"⋰*⋻3342⪄⋰*⋻1956=⋰*⋻-409AA6","layer":3},{"info":"⋰*⋻3602∼⋰*⋻2115=NaN","layer":3},{"info":"⋰*⋻-409AA6↬NaN=NaN","layer":2},{"info":"⋰*⋻-1120519⊴NaN=NaN","layer":1},{"info":"NaN⪒NaN=NaN","layer":0}]}
{"id":508,"expression_no_base_symbol":"(⨞⊢($5482$⋓$5919$⫸⊐$3323$≭$2290$))⋓($6788$∼$7557$⊪)⪛(∥⊫$3733$≎⊠⪸$2740$)","expression":"(⨞⊢(⋰*⋻4134⋓⋰*⋻44A1⫸⊐⋰*⋻2551≭⋰*⋻17A2))⋓(⋰*⋻5111∼⋰*⋻5750⊪)⪛(∥⊫⋰*⋻2894≎⊠⪸⋰*⋻2071)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":459,"operation_count":10,"complexity_ratio":45.9,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":5482,"base":11},"right_expr":{"type":"numeric_atoms","value":5919,"base":11}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3323,"base":11},"right_expr":{"type":"numeric_atoms","value":2290,"base":11}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":6788,"base":11},"right_expr":{"type":"numeric_atoms","value":7557,"base":11}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3733,"base":11},"right_expr":{"type":"numeric_atoms","value":2740,"base":11}}}}},"used_operators":["T2fj7uvVaJ","xUOZtlo3hN","mqXw5SEYmG","rxpJgHHUmx","uFcxV4UQCh","zVYPLywUTj","DyGG3AbaNP","P8v4zCKN1o","bJkvcejdHO"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","AHs5Up7iyr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5482","layer":4},{"info":"number node, value=5919","layer":4},{"info":"compute binary expreesion, left_input=5482, right_input=5919, op_id = T2fj7uvVaJ binary_op_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=3323","layer":4},{"info":"number node, value=2290","layer":4},{"info":"compute binary expreesion, left_input=3323, right_input=2290, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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 = 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 = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-174","layer":1},{"info":"number node, value=6788","layer":4},{"info":"number node, value=7557","layer":4},{"info":"compute binary expreesion, left_input=6788, right_input=7557, 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 = 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":"number node, value=3733","layer":4},{"info":"number node, value=2740","layer":4},{"info":"compute binary expreesion, left_input=3733, right_input=2740, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=966374","layer":3},{"info":"compute unary expreesion, input=966374, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=967242","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=967242, 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=-174, 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":11,"result_base":11,"text":"(⨞⊢(⋰*⋻4134⋓⋰*⋻44A1⫸⊐⋰*⋻2551≭⋰*⋻17A2))⋓(⋰*⋻5111∼⋰*⋻5750⊪)⪛(∥⊫⋰*⋻2894≎⊠⪸⋰*⋻2071)=NaN","reverse_text":"NaN=(⨞⊢(⋰*⋻4134⋓⋰*⋻44A1⫸⊐⋰*⋻2551≭⋰*⋻17A2))⋓(⋰*⋻5111∼⋰*⋻5750⊪)⪛(∥⊫⋰*⋻2894≎⊠⪸⋰*⋻2071)","cot":[{"info":"⋰*⋻4134⋓⋰*⋻44A1=⋰*⋻0","layer":3},{"info":"⋰*⋻2551≭⋰*⋻17A2=NaN","layer":3},{"info":"⋰*⋻0⫸⊐NaN=⋰*⋻0","layer":2},{"info":"⨞⊢⋰*⋻0=⋰*⋻-149","layer":1},{"info":"⋰*⋻5111∼⋰*⋻5750=NaN","layer":3},{"info":"NaN⊪=NaN","layer":2},{"info":"⋰*⋻2894≎⊠⪸⋰*⋻2071=⋰*⋻600062","layer":3},{"info":"∥⊫⋰*⋻600062=⋰*⋻600781","layer":2},{"info":"NaN⪛⋰*⋻600781=NaN","layer":1},{"info":"⋰*⋻-149⋓NaN=NaN","layer":0}]}
{"id":509,"expression_no_base_symbol":"($1090$+⇶⊼$3623$⪒$5017$↙$1287$)⨐⩸⫘(($1776$∲⫓$4729$)⨳⩥⨓($4305$↺$3411$))⪐","expression":"(⋰*⋻901+⇶⊼⋰*⋻27A4⪒⋰*⋻3851↙⋰*⋻A70)⨐⩸⫘((⋰*⋻1375∲⫓⋰*⋻360A)⨳⩥⨓(⋰*⋻3264↺⋰*⋻2621))⪐","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1304,"operation_count":8,"complexity_ratio":163.0,"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":1090,"base":11},"right_expr":{"type":"numeric_atoms","value":3623,"base":11}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":5017,"base":11},"right_expr":{"type":"numeric_atoms","value":1287,"base":11}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1776,"base":11},"right_expr":{"type":"numeric_atoms","value":4729,"base":11}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":4305,"base":11},"right_expr":{"type":"numeric_atoms","value":3411,"base":11}}}}},"used_operators":["eH2TOUuTDT","fu6greOZ01","f6k1SAg4EE","TpPTUOHfaN","yyfyN0ffXY","nCS4ZIUYfx","i8ToyICDmI","7j4O788W3g"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1090","layer":4},{"info":"number node, value=3623","layer":4},{"info":"compute binary expreesion, left_input=1090, right_input=3623, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=5017","layer":4},{"info":"number node, value=1287","layer":4},{"info":"compute binary expreesion, left_input=5017, right_input=1287, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3861","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3861, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=1776","layer":4},{"info":"number node, value=4729","layer":4},{"info":"compute binary expreesion, left_input=1776, right_input=4729, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=4305","layer":4},{"info":"number node, value=3411","layer":4},{"info":"compute binary expreesion, left_input=4305, right_input=3411, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3411","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3411, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=3411","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3411, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻901+⇶⊼⋰*⋻27A4⪒⋰*⋻3851↙⋰*⋻A70)⨐⩸⫘((⋰*⋻1375∲⫓⋰*⋻360A)⨳⩥⨓(⋰*⋻3264↺⋰*⋻2621))⪐=NaN","reverse_text":"NaN=(⋰*⋻901+⇶⊼⋰*⋻27A4⪒⋰*⋻3851↙⋰*⋻A70)⨐⩸⫘((⋰*⋻1375∲⫓⋰*⋻360A)⨳⩥⨓(⋰*⋻3264↺⋰*⋻2621))⪐","cot":[{"info":"⋰*⋻901+⇶⊼⋰*⋻27A4=NaN","layer":3},{"info":"⋰*⋻3851↙⋰*⋻A70=⋰*⋻-29A0","layer":3},{"info":"NaN⪒⋰*⋻-29A0=NaN","layer":2},{"info":"⋰*⋻1375∲⫓⋰*⋻360A=⋰*⋻0","layer":3},{"info":"⋰*⋻3264↺⋰*⋻2621=⋰*⋻2621","layer":3},{"info":"⋰*⋻0⨳⩥⨓⋰*⋻2621=⋰*⋻2621","layer":2},{"info":"NaN⨐⩸⫘⋰*⋻2621=NaN","layer":1},{"info":"NaN⪐=NaN","layer":0}]}
{"id":510,"expression_no_base_symbol":"↣≠⋷((⨈⫕$1278$⪄$3657$)⋳⪒(+⊝⨔$7657$)∀⇚≩($1907$⨓$1159$))","expression":"↣≠⋷((⨈⫕⋰*⋻A62⪄⋰*⋻2825)⋳⪒(+⊝⨔⋰*⋻5831)∀⇚≩(⋰*⋻1484⨓⋰*⋻964))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":12350,"operation_count":7,"complexity_ratio":1764.2857142857142,"tree":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1278,"base":11},"right_expr":{"type":"numeric_atoms","value":3657,"base":11}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":7657,"base":11}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1907,"base":11},"right_expr":{"type":"numeric_atoms","value":1159,"base":11}}}}},"used_operators":["Asc51vEJeQ","12rbrZMWeM","megm06wKyl","SUmda5xLS4","LRNGc0VcxI","DhbWaqg5eL","3ViojmjbAp"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","X99M06cbEe","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1278","layer":4},{"info":"number node, value=3657","layer":4},{"info":"compute binary expreesion, left_input=1278, right_input=3657, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-199861","layer":3},{"info":"compute unary expreesion, input=-199861, 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=7657","layer":4},{"info":"compute unary expreesion, input=7657, 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=1907","layer":4},{"info":"number node, value=1159","layer":4},{"info":"compute binary expreesion, left_input=1907, right_input=1159, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1162","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=-1162, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=-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 unary expreesion, input=nan, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"↣≠⋷((⨈⫕⋰*⋻A62⪄⋰*⋻2825)⋳⪒(+⊝⨔⋰*⋻5831)∀⇚≩(⋰*⋻1484⨓⋰*⋻964))=NaN","reverse_text":"NaN=↣≠⋷((⨈⫕⋰*⋻A62⪄⋰*⋻2825)⋳⪒(+⊝⨔⋰*⋻5831)∀⇚≩(⋰*⋻1484⨓⋰*⋻964))","cot":[{"info":"⋰*⋻A62⪄⋰*⋻2825=⋰*⋻-127182","layer":3},{"info":"⨈⫕⋰*⋻-127182=⋰*⋻-1A","layer":2},{"info":"+⊝⨔⋰*⋻5831=⋰*⋻1164","layer":3},{"info":"⋰*⋻1484⨓⋰*⋻964=⋰*⋻-967","layer":3},{"info":"⋰*⋻1164∀⇚≩⋰*⋻-967=NaN","layer":2},{"info":"⋰*⋻-1A⋳⪒NaN=NaN","layer":1},{"info":"↣≠⋷NaN=NaN","layer":0}]}
{"id":511,"expression_no_base_symbol":"(($2084$⇼⇔∾$1646$⨵⪆($1184$↛⩡⫤))⊭∹↮)⇼⇔∾(⇁⨣⪵($1071$⊴$3469$-$1262$↙$1127$))","expression":"((⋰*⋻1625⇼⇔∾⋰*⋻1267⨵⪆(⋰*⋻987↛⩡⫤))⊭∹↮)⇼⇔∾(⇁⨣⪵(⋰*⋻894⊴⋰*⋻2674-⋰*⋻A48↙⋰*⋻935))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":8299,"operation_count":9,"complexity_ratio":922.1111111111111,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2084,"base":11},"right_expr":{"type":"numeric_atoms","value":1646,"base":11}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1184,"base":11}}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1071,"base":11},"right_expr":{"type":"numeric_atoms","value":3469,"base":11}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1262,"base":11},"right_expr":{"type":"numeric_atoms","value":1127,"base":11}}}}},"used_operators":["tifHPKVTfV","xNBdhnnwKq","2DQ55sFlQl","FU0Cs4j7VP","inkyxCbjAn","rysDP5nf3Z","Nsiff2A1zJ","yyfyN0ffXY"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","B5M0gjZbta","dWAJyo7jo9","14qkJME0vr","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2084","layer":4},{"info":"number node, value=1646","layer":4},{"info":"compute binary expreesion, left_input=2084, right_input=1646, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-438","layer":3},{"info":"number node, value=1184","layer":4},{"info":"compute unary expreesion, input=1184, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-174873","layer":3},{"info":"compute binary expreesion, left_input=-438, right_input=-174873, 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 = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=160","layer":1},{"info":"number node, value=1071","layer":4},{"info":"number node, value=3469","layer":4},{"info":"compute binary expreesion, left_input=1071, right_input=3469, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1262","layer":4},{"info":"number node, value=1127","layer":4},{"info":"compute binary expreesion, left_input=1262, right_input=1127, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3381","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3381, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1625⇼⇔∾⋰*⋻1267⨵⪆(⋰*⋻987↛⩡⫤))⊭∹↮)⇼⇔∾(⇁⨣⪵(⋰*⋻894⊴⋰*⋻2674-⋰*⋻A48↙⋰*⋻935))=NaN","reverse_text":"NaN=((⋰*⋻1625⇼⇔∾⋰*⋻1267⨵⪆(⋰*⋻987↛⩡⫤))⊭∹↮)⇼⇔∾(⇁⨣⪵(⋰*⋻894⊴⋰*⋻2674-⋰*⋻A48↙⋰*⋻935))","cot":[{"info":"⋰*⋻1625⇼⇔∾⋰*⋻1267=⋰*⋻-369","layer":3},{"info":"⋰*⋻987↛⩡⫤=⋰*⋻-10A426","layer":3},{"info":"⋰*⋻-369⨵⪆⋰*⋻-10A426=⋰*⋻136","layer":2},{"info":"⋰*⋻136⊭∹↮=⋰*⋻136","layer":1},{"info":"⋰*⋻894⊴⋰*⋻2674=NaN","layer":3},{"info":"⋰*⋻A48↙⋰*⋻935=⋰*⋻-25A4","layer":3},{"info":"NaN-⋰*⋻-25A4=NaN","layer":2},{"info":"⇁⨣⪵NaN=NaN","layer":1},{"info":"⋰*⋻136⇼⇔∾NaN=NaN","layer":0}]}
{"id":512,"expression_no_base_symbol":"(($5194$⨸⪁$2970$)≎⊠⪸$3010$≧⫂∧$2121$)⇷(≉$1566$∀⇚≩$6803$)⨓(($2730$⪒$4184$)⩨$4250$⨪↰⇹$9884$⨵⪆(⫓⪴$2478$)⨟⋌⩍($7101$≭$2147$))","expression":"((⋰*⋻39A2⨸⪁⋰*⋻2260)≎⊠⪸⋰*⋻2297≧⫂∧⋰*⋻1659)⇷(≉⋰*⋻11A4∀⇚≩⋰*⋻5125)⨓((⋰*⋻2062⪒⋰*⋻3164)⩨⋰*⋻3214⨪↰⇹⋰*⋻7476⨵⪆(⫓⪴⋰*⋻1953)⨟⋌⩍(⋰*⋻5376≭⋰*⋻1682))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":18148,"operation_count":14,"complexity_ratio":1296.2857142857142,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":5194,"base":11},"right_expr":{"type":"numeric_atoms","value":2970,"base":11}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3010,"base":11},"right_expr":{"type":"numeric_atoms","value":2121,"base":11}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1566,"base":11},"right_expr":{"type":"numeric_atoms","value":6803,"base":11}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2730,"base":11},"right_expr":{"type":"numeric_atoms","value":4184,"base":11}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4250,"base":11},"right_expr":{"type":"numeric_atoms","value":9884,"base":11}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2478,"base":11}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":7101,"base":11},"right_expr":{"type":"numeric_atoms","value":2147,"base":11}}}}},"used_operators":["3ViojmjbAp","mp7IySMOzn","bJkvcejdHO","g55IO6H4Gj","Ph9nP6C5qx","e1ybzncUwg","LRNGc0VcxI","2DQ55sFlQl","2DlMacCsIx","f6k1SAg4EE","tmPS8pqC7x","rGHVDoGpnC","eLxqMNBOBk","rxpJgHHUmx"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","Tcnh7f0tEr","9HNa5Wba9A","AHs5Up7iyr"],"result":"⋰*⋻-139","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5194","layer":4},{"info":"number node, value=2970","layer":4},{"info":"compute binary expreesion, left_input=5194, right_input=2970, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=16328","layer":3},{"info":"number node, value=3010","layer":4},{"info":"number node, value=2121","layer":4},{"info":"compute binary expreesion, left_input=3010, right_input=2121, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1648","layer":3},{"info":"compute binary expreesion, left_input=16328, right_input=1648, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=4228479","layer":2},{"info":"number node, value=1566","layer":4},{"info":"number node, value=6803","layer":4},{"info":"compute binary expreesion, left_input=1566, right_input=6803, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 binary expreesion, left_input=4228479, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"number node, value=2730","layer":4},{"info":"number node, value=4184","layer":4},{"info":"compute binary expreesion, left_input=2730, right_input=4184, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6914","layer":3},{"info":"number node, value=4250","layer":4},{"info":"number node, value=9884","layer":4},{"info":"compute binary expreesion, left_input=4250, right_input=9884, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=4250","layer":3},{"info":"compute binary expreesion, left_input=-6914, right_input=4250, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=3","layer":2},{"info":"number node, value=2478","layer":4},{"info":"compute unary expreesion, input=2478, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=6140484","layer":3},{"info":"number node, value=7101","layer":4},{"info":"number node, value=2147","layer":4},{"info":"compute binary expreesion, left_input=7101, right_input=2147, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=6140484, 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=3, 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 = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-163","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻39A2⨸⪁⋰*⋻2260)≎⊠⪸⋰*⋻2297≧⫂∧⋰*⋻1659)⇷(≉⋰*⋻11A4∀⇚≩⋰*⋻5125)⨓((⋰*⋻2062⪒⋰*⋻3164)⩨⋰*⋻3214⨪↰⇹⋰*⋻7476⨵⪆(⫓⪴⋰*⋻1953)⨟⋌⩍(⋰*⋻5376≭⋰*⋻1682))=⋰*⋻-139","reverse_text":"⋰*⋻-139=((⋰*⋻39A2⨸⪁⋰*⋻2260)≎⊠⪸⋰*⋻2297≧⫂∧⋰*⋻1659)⇷(≉⋰*⋻11A4∀⇚≩⋰*⋻5125)⨓((⋰*⋻2062⪒⋰*⋻3164)⩨⋰*⋻3214⨪↰⇹⋰*⋻7476⨵⪆(⫓⪴⋰*⋻1953)⨟⋌⩍(⋰*⋻5376≭⋰*⋻1682))","cot":[{"info":"⋰*⋻39A2⨸⪁⋰*⋻2260=⋰*⋻112A4","layer":3},{"info":"⋰*⋻2297≧⫂∧⋰*⋻1659=⋰*⋻1269","layer":3},{"info":"⋰*⋻112A4≎⊠⪸⋰*⋻1269=⋰*⋻2428A12","layer":2},{"info":"⋰*⋻11A4∀⇚≩⋰*⋻5125=NaN","layer":3},{"info":"≉NaN=NaN","layer":2},{"info":"⋰*⋻2428A12⇷NaN=NaN","layer":1},{"info":"⋰*⋻2062⪒⋰*⋻3164=⋰*⋻-5216","layer":3},{"info":"⋰*⋻3214⨪↰⇹⋰*⋻7476=⋰*⋻3214","layer":3},{"info":"⋰*⋻-5216⩨⋰*⋻3214=⋰*⋻3","layer":2},{"info":"⫓⪴⋰*⋻1953=⋰*⋻3514489","layer":3},{"info":"⋰*⋻5376≭⋰*⋻1682=NaN","layer":3},{"info":"⋰*⋻3514489⨟⋌⩍NaN=NaN","layer":2},{"info":"⋰*⋻3⨵⪆NaN=⋰*⋻136","layer":1},{"info":"NaN⨓⋰*⋻136=⋰*⋻-139","layer":0}]}
{"id":513,"expression_no_base_symbol":"((⊥($1131$⋝⋈⪟$1434$))⋷(($3716$/$1603$)∸))∧","expression":"((⊥(⋰*⋻939⋝⋈⪟⋰*⋻1094))⋷((⋰*⋻2879/⋰*⋻1228)∸))∧","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":193,"operation_count":6,"complexity_ratio":32.166666666666664,"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":1131,"base":11},"right_expr":{"type":"numeric_atoms","value":1434,"base":11}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3716,"base":11},"right_expr":{"type":"numeric_atoms","value":1603,"base":11}}}}},"used_operators":["z63VuFQld9","23Mk6UjR3U","Q3PJZHRvZv","2DDjHMKMc0","o20kRiQErp","XhwjNDsVaA"],"dependent_operators":["B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1131","layer":4},{"info":"number node, value=1434","layer":4},{"info":"compute binary expreesion, left_input=1131, right_input=1434, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1131","layer":3},{"info":"compute unary expreesion, input=1131, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"number node, value=3716","layer":4},{"info":"number node, value=1603","layer":4},{"info":"compute binary expreesion, left_input=3716, right_input=1603, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"compute unary expreesion, input=2, 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 = 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 = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⊥(⋰*⋻939⋝⋈⪟⋰*⋻1094))⋷((⋰*⋻2879/⋰*⋻1228)∸))∧=NaN","reverse_text":"NaN=((⊥(⋰*⋻939⋝⋈⪟⋰*⋻1094))⋷((⋰*⋻2879/⋰*⋻1228)∸))∧","cot":[{"info":"⋰*⋻939⋝⋈⪟⋰*⋻1094=⋰*⋻939","layer":3},{"info":"⊥⋰*⋻939=NaN","layer":2},{"info":"⋰*⋻2879/⋰*⋻1228=⋰*⋻2","layer":3},{"info":"⋰*⋻2∸=⋰*⋻151","layer":2},{"info":"NaN⋷⋰*⋻151=NaN","layer":1},{"info":"NaN∧=NaN","layer":0}]}
{"id":514,"expression_no_base_symbol":"(($1083$⨪↰⇹$3113$%$2461$⪄$1571$)⊪)∀⇚≩(($3369$⨽$1935$)⊴($2465$↺$1383$)⨽($1994$⊉≛↸$3599$⪨≂$1482$⪮%⊝$2086$))","expression":"((⋰*⋻8A5⨪↰⇹⋰*⋻2380%⋰*⋻1938⪄⋰*⋻11A9)⊪)∀⇚≩((⋰*⋻2593⨽⋰*⋻14AA)⊴(⋰*⋻1941↺⋰*⋻1048)⨽(⋰*⋻1553⊉≛↸⋰*⋻2782⪨≂⋰*⋻1128⪮%⊝⋰*⋻1627))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3019110,"operation_count":12,"complexity_ratio":251592.5,"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":1083,"base":11},"right_expr":{"type":"numeric_atoms","value":3113,"base":11}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2461,"base":11},"right_expr":{"type":"numeric_atoms","value":1571,"base":11}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3369,"base":11},"right_expr":{"type":"numeric_atoms","value":1935,"base":11}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2465,"base":11},"right_expr":{"type":"numeric_atoms","value":1383,"base":11}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1994,"base":11},"right_expr":{"type":"numeric_atoms","value":3599,"base":11}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1482,"base":11},"right_expr":{"type":"numeric_atoms","value":2086,"base":11}}}}},"used_operators":["LRNGc0VcxI","zVYPLywUTj","k8jYdgA6NY","tmPS8pqC7x","SUmda5xLS4","8HhzD0ZcuI","Nsiff2A1zJ","7j4O788W3g","sdazOOVcIp","DZ8iAZOCBD","IWmyXbctLI"],"dependent_operators":["X99M06cbEe","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","rJVOvQCfKK","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1083","layer":4},{"info":"number node, value=3113","layer":4},{"info":"compute binary expreesion, left_input=1083, right_input=3113, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1083","layer":3},{"info":"number node, value=2461","layer":4},{"info":"number node, value=1571","layer":4},{"info":"compute binary expreesion, left_input=2461, right_input=1571, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-366601","layer":3},{"info":"compute binary expreesion, left_input=1083, right_input=-366601, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-365518","layer":2},{"info":"compute unary expreesion, input=-365518, 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":1},{"info":"number node, value=3369","layer":4},{"info":"number node, value=1935","layer":4},{"info":"compute binary expreesion, left_input=3369, right_input=1935, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-34054974","layer":3},{"info":"number node, value=2465","layer":4},{"info":"number node, value=1383","layer":4},{"info":"compute binary expreesion, left_input=2465, right_input=1383, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1383","layer":3},{"info":"compute binary expreesion, left_input=-34054974, right_input=1383, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=1994","layer":4},{"info":"number node, value=3599","layer":4},{"info":"compute binary expreesion, left_input=1994, right_input=3599, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3988","layer":3},{"info":"number node, value=1482","layer":4},{"info":"number node, value=2086","layer":4},{"info":"compute binary expreesion, left_input=1482, right_input=2086, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3280","layer":3},{"info":"compute binary expreesion, left_input=3988, right_input=3280, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=1518","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1518, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=inf, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻8A5⨪↰⇹⋰*⋻2380%⋰*⋻1938⪄⋰*⋻11A9)⊪)∀⇚≩((⋰*⋻2593⨽⋰*⋻14AA)⊴(⋰*⋻1941↺⋰*⋻1048)⨽(⋰*⋻1553⊉≛↸⋰*⋻2782⪨≂⋰*⋻1128⪮%⊝⋰*⋻1627))=NaN","reverse_text":"NaN=((⋰*⋻8A5⨪↰⇹⋰*⋻2380%⋰*⋻1938⪄⋰*⋻11A9)⊪)∀⇚≩((⋰*⋻2593⨽⋰*⋻14AA)⊴(⋰*⋻1941↺⋰*⋻1048)⨽(⋰*⋻1553⊉≛↸⋰*⋻2782⪨≂⋰*⋻1128⪮%⊝⋰*⋻1627))","cot":[{"info":"⋰*⋻8A5⨪↰⇹⋰*⋻2380=⋰*⋻8A5","layer":3},{"info":"⋰*⋻1938⪄⋰*⋻11A9=⋰*⋻-230484","layer":3},{"info":"⋰*⋻8A5%⋰*⋻-230484=⋰*⋻-22A68A","layer":2},{"info":"⋰*⋻-22A68A⊪=Inf","layer":1},{"info":"⋰*⋻2593⨽⋰*⋻14AA=⋰*⋻-18250008","layer":3},{"info":"⋰*⋻1941↺⋰*⋻1048=⋰*⋻1048","layer":3},{"info":"⋰*⋻-18250008⊴⋰*⋻1048=NaN","layer":2},{"info":"⋰*⋻1553⊉≛↸⋰*⋻2782=⋰*⋻2AA6","layer":3},{"info":"⋰*⋻1128⪮%⊝⋰*⋻1627=⋰*⋻2512","layer":3},{"info":"⋰*⋻2AA6⪨≂⋰*⋻2512=⋰*⋻1160","layer":2},{"info":"NaN⨽⋰*⋻1160=NaN","layer":1},{"info":"Inf∀⇚≩NaN=NaN","layer":0}]}
{"id":515,"expression_no_base_symbol":"($2256$⫡⨏$4356$)⨸⪁$2513$⋓$2402$∲⫓($8366$-$6890$)+⇶⊼($4860$⨽$2971$)⪨≂($4780$%$2165$)⪄$2616$≎⊠⪸$6390$∲⫓($1071$⨟⋌⩍$4683$⊭∹↮)","expression":"(⋰*⋻1771⫡⨏⋰*⋻3300)⨸⪁⋰*⋻1985⋓⋰*⋻1894∲⫓(⋰*⋻6316-⋰*⋻51A4)+⇶⊼(⋰*⋻3719⨽⋰*⋻2261)⪨≂(⋰*⋻3656%⋰*⋻1699)⪄⋰*⋻1A69≎⊠⪸⋰*⋻488A∲⫓(⋰*⋻894⨟⋌⩍⋰*⋻3578⊭∹↮)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5277,"operation_count":14,"complexity_ratio":376.92857142857144,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2256,"base":11},"right_expr":{"type":"numeric_atoms","value":4356,"base":11}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2513,"base":11},"right_expr":{"type":"numeric_atoms","value":2402,"base":11}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":8366,"base":11},"right_expr":{"type":"numeric_atoms","value":6890,"base":11}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4860,"base":11},"right_expr":{"type":"numeric_atoms","value":2971,"base":11}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4780,"base":11},"right_expr":{"type":"numeric_atoms","value":2165,"base":11}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2616,"base":11},"right_expr":{"type":"numeric_atoms","value":6390,"base":11}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1071,"base":11},"right_expr":{"type":"numeric_atoms","value":4683,"base":11}}}}},"used_operators":["sdazOOVcIp","i8ToyICDmI","g55IO6H4Gj","QMFrweE19q","T2fj7uvVaJ","TpPTUOHfaN","rysDP5nf3Z","8HhzD0ZcuI","SUmda5xLS4","k8jYdgA6NY","bJkvcejdHO","xNBdhnnwKq","rGHVDoGpnC"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","AHs5Up7iyr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2256","layer":4},{"info":"number node, value=4356","layer":4},{"info":"compute binary expreesion, left_input=2256, right_input=4356, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=20775","layer":3},{"info":"number node, value=2513","layer":4},{"info":"number node, value=2402","layer":4},{"info":"compute binary expreesion, left_input=2513, right_input=2402, op_id = T2fj7uvVaJ binary_op_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=20775, right_input=0, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=41550","layer":2},{"info":"number node, value=8366","layer":4},{"info":"number node, value=6890","layer":4},{"info":"compute binary expreesion, left_input=8366, right_input=6890, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1476","layer":3},{"info":"number node, value=4860","layer":4},{"info":"number node, value=2971","layer":4},{"info":"compute binary expreesion, left_input=4860, right_input=2971, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-70866399","layer":3},{"info":"compute binary expreesion, left_input=1476, right_input=-70866399, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=41550, 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=4780","layer":4},{"info":"number node, value=2165","layer":4},{"info":"compute binary expreesion, left_input=4780, right_input=2165, op_id = k8jYdgA6NY binary_op_definition= 'None', output=450","layer":3},{"info":"number node, value=2616","layer":4},{"info":"number node, value=6390","layer":4},{"info":"compute binary expreesion, left_input=2616, right_input=6390, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=677071","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=677071, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-2770973","layer":2},{"info":"number node, value=1071","layer":4},{"info":"number node, value=4683","layer":4},{"info":"compute binary expreesion, left_input=1071, right_input=4683, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2770973, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1771⫡⨏⋰*⋻3300)⨸⪁⋰*⋻1985⋓⋰*⋻1894∲⫓(⋰*⋻6316-⋰*⋻51A4)+⇶⊼(⋰*⋻3719⨽⋰*⋻2261)⪨≂(⋰*⋻3656%⋰*⋻1699)⪄⋰*⋻1A69≎⊠⪸⋰*⋻488A∲⫓(⋰*⋻894⨟⋌⩍⋰*⋻3578⊭∹↮)=NaN","reverse_text":"NaN=(⋰*⋻1771⫡⨏⋰*⋻3300)⨸⪁⋰*⋻1985⋓⋰*⋻1894∲⫓(⋰*⋻6316-⋰*⋻51A4)+⇶⊼(⋰*⋻3719⨽⋰*⋻2261)⪨≂(⋰*⋻3656%⋰*⋻1699)⪄⋰*⋻1A69≎⊠⪸⋰*⋻488A∲⫓(⋰*⋻894⨟⋌⩍⋰*⋻3578⊭∹↮)","cot":[{"info":"⋰*⋻1771⫡⨏⋰*⋻3300=⋰*⋻14677","layer":3},{"info":"⋰*⋻1985⋓⋰*⋻1894=⋰*⋻0","layer":3},{"info":"⋰*⋻14677⨸⪁⋰*⋻0=⋰*⋻29243","layer":2},{"info":"⋰*⋻6316-⋰*⋻51A4=⋰*⋻1122","layer":3},{"info":"⋰*⋻3719⨽⋰*⋻2261=⋰*⋻-37002A7A","layer":3},{"info":"⋰*⋻1122+⇶⊼⋰*⋻-37002A7A=NaN","layer":2},{"info":"⋰*⋻29243∲⫓NaN=NaN","layer":1},{"info":"⋰*⋻3656%⋰*⋻1699=⋰*⋻37A","layer":3},{"info":"⋰*⋻1A69≎⊠⪸⋰*⋻488A=⋰*⋻42276A","layer":3},{"info":"⋰*⋻37A⪄⋰*⋻42276A=⋰*⋻-1622967","layer":2},{"info":"⋰*⋻894⨟⋌⩍⋰*⋻3578=NaN","layer":3},{"info":"NaN⊭∹↮=NaN","layer":2},{"info":"⋰*⋻-1622967∲⫓NaN=NaN","layer":1},{"info":"NaN⪨≂NaN=NaN","layer":0}]}
{"id":516,"expression_no_base_symbol":"(⨞⊢($2994$⇼⇔∾$2096$))⫸⊐(↽≂$6995$)⨐⩸⫘($3966$+$5336$)-(($2115$∲⫓$4840$)⨳⩥⨓($1275$⨵⪆$6280$)⨵⪆($1142$⪠⩆⊳)⨎($3052$/$2248$))","expression":"(⨞⊢(⋰*⋻2282⇼⇔∾⋰*⋻1636))⫸⊐(↽≂⋰*⋻528A)⨐⩸⫘(⋰*⋻2A86+⋰*⋻4011)-((⋰*⋻1653∲⫓⋰*⋻3700)⨳⩥⨓(⋰*⋻A5A⨵⪆⋰*⋻479A)⨵⪆(⋰*⋻949⪠⩆⊳)⨎(⋰*⋻2325/⋰*⋻1764))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":47,"operation_count":14,"complexity_ratio":3.357142857142857,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2994,"base":11},"right_expr":{"type":"numeric_atoms","value":2096,"base":11}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":6995,"base":11}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3966,"base":11},"right_expr":{"type":"numeric_atoms","value":5336,"base":11}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2115,"base":11},"right_expr":{"type":"numeric_atoms","value":4840,"base":11}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1275,"base":11},"right_expr":{"type":"numeric_atoms","value":6280,"base":11}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1142,"base":11}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3052,"base":11},"right_expr":{"type":"numeric_atoms","value":2248,"base":11}}}}},"used_operators":["rysDP5nf3Z","mqXw5SEYmG","xUOZtlo3hN","tifHPKVTfV","fu6greOZ01","u6S6b8DprG","W4YGzv6Whe","2DQ55sFlQl","nCS4ZIUYfx","i8ToyICDmI","rJVOvQCfKK","JLbD19bQDL","XhwjNDsVaA"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2994","layer":4},{"info":"number node, value=2096","layer":4},{"info":"compute binary expreesion, left_input=2994, right_input=2096, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-898","layer":3},{"info":"compute unary expreesion, input=-898, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=724","layer":2},{"info":"number node, value=6995","layer":4},{"info":"compute unary expreesion, input=6995, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-13990","layer":3},{"info":"number node, value=3966","layer":4},{"info":"number node, value=5336","layer":4},{"info":"compute binary expreesion, left_input=3966, right_input=5336, op_id = W4YGzv6Whe binary_op_definition= 'None', output=9302","layer":3},{"info":"compute binary expreesion, left_input=-13990, right_input=9302, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=724, 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=2115","layer":4},{"info":"number node, value=4840","layer":4},{"info":"compute binary expreesion, left_input=2115, right_input=4840, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1275","layer":4},{"info":"number node, value=6280","layer":4},{"info":"compute binary expreesion, left_input=1275, right_input=6280, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=160, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=160","layer":2},{"info":"number node, value=1142","layer":4},{"info":"compute unary expreesion, input=1142, 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=3052","layer":4},{"info":"number node, value=2248","layer":4},{"info":"compute binary expreesion, left_input=3052, right_input=2248, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=1, 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 = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⨞⊢(⋰*⋻2282⇼⇔∾⋰*⋻1636))⫸⊐(↽≂⋰*⋻528A)⨐⩸⫘(⋰*⋻2A86+⋰*⋻4011)-((⋰*⋻1653∲⫓⋰*⋻3700)⨳⩥⨓(⋰*⋻A5A⨵⪆⋰*⋻479A)⨵⪆(⋰*⋻949⪠⩆⊳)⨎(⋰*⋻2325/⋰*⋻1764))=NaN","reverse_text":"NaN=(⨞⊢(⋰*⋻2282⇼⇔∾⋰*⋻1636))⫸⊐(↽≂⋰*⋻528A)⨐⩸⫘(⋰*⋻2A86+⋰*⋻4011)-((⋰*⋻1653∲⫓⋰*⋻3700)⨳⩥⨓(⋰*⋻A5A⨵⪆⋰*⋻479A)⨵⪆(⋰*⋻949⪠⩆⊳)⨎(⋰*⋻2325/⋰*⋻1764))","cot":[{"info":"⋰*⋻2282⇼⇔∾⋰*⋻1636=⋰*⋻-747","layer":3},{"info":"⨞⊢⋰*⋻-747=⋰*⋻5A9","layer":2},{"info":"↽≂⋰*⋻528A=⋰*⋻-A569","layer":3},{"info":"⋰*⋻2A86+⋰*⋻4011=⋰*⋻6A97","layer":3},{"info":"⋰*⋻-A569⨐⩸⫘⋰*⋻6A97=NaN","layer":2},{"info":"⋰*⋻5A9⫸⊐NaN=NaN","layer":1},{"info":"⋰*⋻1653∲⫓⋰*⋻3700=⋰*⋻0","layer":3},{"info":"⋰*⋻A5A⨵⪆⋰*⋻479A=⋰*⋻136","layer":3},{"info":"⋰*⋻0⨳⩥⨓⋰*⋻136=⋰*⋻136","layer":2},{"info":"⋰*⋻949⪠⩆⊳=⋰*⋻0","layer":3},{"info":"⋰*⋻2325/⋰*⋻1764=⋰*⋻1","layer":3},{"info":"⋰*⋻0⨎⋰*⋻1=⋰*⋻1","layer":2},{"info":"⋰*⋻136⨵⪆⋰*⋻1=⋰*⋻136","layer":1},{"info":"NaN-⋰*⋻136=NaN","layer":0}]}
{"id":517,"expression_no_base_symbol":"((($2050$≦≮≮)⪒$4427$≭$4772$)⊠≄⫣)⇼⇔∾(($5573$⫸⊐$1556$)⪄($1581$⪒$2236$)⪒($1012$⫸⊐$3038$)⫥∨⫟($1679$⪄$1817$))","expression":"(((⋰*⋻15A4≦≮≮)⪒⋰*⋻3365≭⋰*⋻3649)⊠≄⫣)⇼⇔∾((⋰*⋻4207⫸⊐⋰*⋻1195)⪄(⋰*⋻1208⪒⋰*⋻1753)⪒(⋰*⋻840⫸⊐⋰*⋻2312)⫥∨⫟(⋰*⋻1297⪄⋰*⋻1402))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":409,"operation_count":12,"complexity_ratio":34.083333333333336,"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":2050,"base":11}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4427,"base":11},"right_expr":{"type":"numeric_atoms","value":4772,"base":11}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":5573,"base":11},"right_expr":{"type":"numeric_atoms","value":1556,"base":11}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1581,"base":11},"right_expr":{"type":"numeric_atoms","value":2236,"base":11}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1012,"base":11},"right_expr":{"type":"numeric_atoms","value":3038,"base":11}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1679,"base":11},"right_expr":{"type":"numeric_atoms","value":1817,"base":11}}}}},"used_operators":["tifHPKVTfV","DIvbN7qnHd","f6k1SAg4EE","D4vGDi5EA2","rxpJgHHUmx","SUmda5xLS4","mqXw5SEYmG","KYD54nUTWz"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2050","layer":4},{"info":"compute unary expreesion, input=2050, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-6150","layer":3},{"info":"number node, value=4427","layer":4},{"info":"number node, value=4772","layer":4},{"info":"compute binary expreesion, left_input=4427, right_input=4772, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=-6150, 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 = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=nan","layer":1},{"info":"number node, value=5573","layer":4},{"info":"number node, value=1556","layer":4},{"info":"compute binary expreesion, left_input=5573, right_input=1556, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6099","layer":3},{"info":"number node, value=1581","layer":4},{"info":"number node, value=2236","layer":4},{"info":"compute binary expreesion, left_input=1581, right_input=2236, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3817","layer":3},{"info":"compute binary expreesion, left_input=6099, right_input=-3817, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-883473","layer":2},{"info":"number node, value=1012","layer":4},{"info":"number node, value=3038","layer":4},{"info":"compute binary expreesion, left_input=1012, right_input=3038, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=12027","layer":3},{"info":"number node, value=1679","layer":4},{"info":"number node, value=1817","layer":4},{"info":"compute binary expreesion, left_input=1679, right_input=1817, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-251849","layer":3},{"info":"compute binary expreesion, left_input=12027, right_input=-251849, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-883473, 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 = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻15A4≦≮≮)⪒⋰*⋻3365≭⋰*⋻3649)⊠≄⫣)⇼⇔∾((⋰*⋻4207⫸⊐⋰*⋻1195)⪄(⋰*⋻1208⪒⋰*⋻1753)⪒(⋰*⋻840⫸⊐⋰*⋻2312)⫥∨⫟(⋰*⋻1297⪄⋰*⋻1402))=NaN","reverse_text":"NaN=(((⋰*⋻15A4≦≮≮)⪒⋰*⋻3365≭⋰*⋻3649)⊠≄⫣)⇼⇔∾((⋰*⋻4207⫸⊐⋰*⋻1195)⪄(⋰*⋻1208⪒⋰*⋻1753)⪒(⋰*⋻840⫸⊐⋰*⋻2312)⫥∨⫟(⋰*⋻1297⪄⋰*⋻1402))","cot":[{"info":"⋰*⋻15A4≦≮≮=⋰*⋻-4691","layer":3},{"info":"⋰*⋻3365≭⋰*⋻3649=NaN","layer":3},{"info":"⋰*⋻-4691⪒NaN=NaN","layer":2},{"info":"NaN⊠≄⫣=NaN","layer":1},{"info":"⋰*⋻4207⫸⊐⋰*⋻1195=⋰*⋻4645","layer":3},{"info":"⋰*⋻1208⪒⋰*⋻1753=⋰*⋻-2960","layer":3},{"info":"⋰*⋻4645⪄⋰*⋻-2960=⋰*⋻-553848","layer":2},{"info":"⋰*⋻840⫸⊐⋰*⋻2312=⋰*⋻9044","layer":3},{"info":"⋰*⋻1297⪄⋰*⋻1402=⋰*⋻-162244","layer":3},{"info":"⋰*⋻9044⫥∨⫟⋰*⋻-162244=NaN","layer":2},{"info":"⋰*⋻-553848⪒NaN=NaN","layer":1},{"info":"NaN⇼⇔∾NaN=NaN","layer":0}]}
{"id":518,"expression_no_base_symbol":"(((⨞⊢$7319$)⩠)⨪↰⇹(⪲⇎$5448$)∼($6803$⇋≉))⪘⫢(⫛⫱⨽((∂$3081$)⨎$1605$⪢$1932$))","expression":"(((⨞⊢⋰*⋻5554)⩠)⨪↰⇹(⪲⇎⋰*⋻4103)∼(⋰*⋻5125⇋≉))⪘⫢(⫛⫱⨽((∂⋰*⋻2351)⨎⋰*⋻122A⪢⋰*⋻14A7))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":33275,"operation_count":11,"complexity_ratio":3025.0,"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":7319,"base":11}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":5448,"base":11}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":6803,"base":11}}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":3081,"base":11}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1605,"base":11},"right_expr":{"type":"numeric_atoms","value":1932,"base":11}}}}},"used_operators":["oacrs7FA3X","tmPS8pqC7x","sJAwomhLZr","xUOZtlo3hN","DyGG3AbaNP","XPYlsWDdGa","XIabStNQrY","DlLNRPXxWL","rJVOvQCfKK","Uaa54Peajs","dWAJyo7jo9"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rJVOvQCfKK","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7319","layer":4},{"info":"compute unary expreesion, input=7319, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-7493","layer":3},{"info":"compute unary expreesion, input=-7493, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=30181","layer":2},{"info":"number node, value=5448","layer":4},{"info":"compute unary expreesion, input=5448, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=10896","layer":3},{"info":"number node, value=6803","layer":4},{"info":"compute unary expreesion, input=6803, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=13508","layer":3},{"info":"compute binary expreesion, left_input=10896, right_input=13508, 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=30181, 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=30181","layer":1},{"info":"number node, value=3081","layer":4},{"info":"compute unary expreesion, input=3081, 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=1605","layer":4},{"info":"number node, value=1932","layer":4},{"info":"compute binary expreesion, left_input=1605, right_input=1932, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = 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 = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=30181, 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":11,"result_base":11,"text":"(((⨞⊢⋰*⋻5554)⩠)⨪↰⇹(⪲⇎⋰*⋻4103)∼(⋰*⋻5125⇋≉))⪘⫢(⫛⫱⨽((∂⋰*⋻2351)⨎⋰*⋻122A⪢⋰*⋻14A7))=NaN","reverse_text":"NaN=(((⨞⊢⋰*⋻5554)⩠)⨪↰⇹(⪲⇎⋰*⋻4103)∼(⋰*⋻5125⇋≉))⪘⫢(⫛⫱⨽((∂⋰*⋻2351)⨎⋰*⋻122A⪢⋰*⋻14A7))","cot":[{"info":"⨞⊢⋰*⋻5554=⋰*⋻-56A2","layer":3},{"info":"⋰*⋻-56A2⩠=⋰*⋻20748","layer":2},{"info":"⪲⇎⋰*⋻4103=⋰*⋻8206","layer":3},{"info":"⋰*⋻5125⇋≉=⋰*⋻A170","layer":3},{"info":"⋰*⋻8206∼⋰*⋻A170=NaN","layer":2},{"info":"⋰*⋻20748⨪↰⇹NaN=⋰*⋻20748","layer":1},{"info":"∂⋰*⋻2351=NaN","layer":3},{"info":"⋰*⋻122A⪢⋰*⋻14A7=NaN","layer":3},{"info":"NaN⨎NaN=NaN","layer":2},{"info":"⫛⫱⨽NaN=NaN","layer":1},{"info":"⋰*⋻20748⪘⫢NaN=NaN","layer":0}]}
{"id":519,"expression_no_base_symbol":"(⨰⫟⨤(($1143$⫸⊐$1774$)⨰(⋗⩬⋾$3453$)))⋥≓≎((-$1595$)∲⫓$3658$+⇶⊼$7125$)⨓(⪝⪂⫅(⨑⩽⪐$2249$))","expression":"(⨰⫟⨤((⋰*⋻94A⫸⊐⋰*⋻1373)⨰(⋗⩬⋾⋰*⋻265A)))⋥≓≎((-⋰*⋻1220)∲⫓⋰*⋻2826+⇶⊼⋰*⋻5398)⨓(⪝⪂⫅(⨑⩽⪐⋰*⋻1765))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":359191,"operation_count":11,"complexity_ratio":32653.727272727272,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1143,"base":11},"right_expr":{"type":"numeric_atoms","value":1774,"base":11}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":3453,"base":11}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1595,"base":11}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3658,"base":11},"right_expr":{"type":"numeric_atoms","value":7125,"base":11}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2249,"base":11}}}}},"used_operators":["Qy55tPpLXF","Tw270M8GLb","eewbuw0ToL","mqXw5SEYmG","DpFCA1CohY","3ViojmjbAp","i8ToyICDmI","t8gj7n24qd","TpPTUOHfaN","XTarYq4gQB","AF7qkfDlqP"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"⋰*⋻61","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1143","layer":4},{"info":"number node, value=1774","layer":4},{"info":"compute binary expreesion, left_input=1143, right_input=1774, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6971","layer":3},{"info":"number node, value=3453","layer":4},{"info":"compute unary expreesion, input=3453, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-10359","layer":3},{"info":"compute binary expreesion, left_input=6971, right_input=-10359, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=17340","layer":2},{"info":"compute unary expreesion, input=17340, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=1595","layer":4},{"info":"compute unary expreesion, input=1595, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1595","layer":3},{"info":"number node, value=3658","layer":4},{"info":"number node, value=7125","layer":4},{"info":"compute binary expreesion, left_input=3658, right_input=7125, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=-1595, 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=2249","layer":4},{"info":"compute unary expreesion, input=2249, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1976","layer":3},{"info":"compute unary expreesion, input=-1976, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=290472","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=290472, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-290475","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-290475, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":11,"result_base":11,"text":"(⨰⫟⨤((⋰*⋻94A⫸⊐⋰*⋻1373)⨰(⋗⩬⋾⋰*⋻265A)))⋥≓≎((-⋰*⋻1220)∲⫓⋰*⋻2826+⇶⊼⋰*⋻5398)⨓(⪝⪂⫅(⨑⩽⪐⋰*⋻1765))=⋰*⋻61","reverse_text":"⋰*⋻61=(⨰⫟⨤((⋰*⋻94A⫸⊐⋰*⋻1373)⨰(⋗⩬⋾⋰*⋻265A)))⋥≓≎((-⋰*⋻1220)∲⫓⋰*⋻2826+⇶⊼⋰*⋻5398)⨓(⪝⪂⫅(⨑⩽⪐⋰*⋻1765))","cot":[{"info":"⋰*⋻94A⫸⊐⋰*⋻1373=⋰*⋻5268","layer":3},{"info":"⋗⩬⋾⋰*⋻265A=⋰*⋻-7868","layer":3},{"info":"⋰*⋻5268⨰⋰*⋻-7868=⋰*⋻12034","layer":2},{"info":"⨰⫟⨤⋰*⋻12034=NaN","layer":1},{"info":"-⋰*⋻1220=⋰*⋻-1220","layer":3},{"info":"⋰*⋻2826+⇶⊼⋰*⋻5398=NaN","layer":3},{"info":"⋰*⋻-1220∲⫓NaN=NaN","layer":2},{"info":"⨑⩽⪐⋰*⋻1765=⋰*⋻-1537","layer":3},{"info":"⪝⪂⫅⋰*⋻-1537=⋰*⋻189266","layer":2},{"info":"NaN⨓⋰*⋻189266=⋰*⋻-189269","layer":1},{"info":"NaN⋥≓≎⋰*⋻-189269=⋰*⋻61","layer":0}]}
{"id":520,"expression_no_base_symbol":"(((↽≂$2650$)⇼⇔∾(⨵≀≌$2193$))⨳⩥⨓($1628$⊪)⇷($1582$⪒$7378$))⨽(∂((↥$6373$)⩨$2809$↬$1006$))","expression":"(((↽≂⋰*⋻1A9A)⇼⇔∾(⨵≀≌⋰*⋻1714))⨳⩥⨓(⋰*⋻1250⊪)⇷(⋰*⋻1209⪒⋰*⋻55A8))⨽(∂((↥⋰*⋻4874)⩨⋰*⋻2124↬⋰*⋻835))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1474,"operation_count":12,"complexity_ratio":122.83333333333333,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2650,"base":11}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":2193,"base":11}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":1628,"base":11}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1582,"base":11},"right_expr":{"type":"numeric_atoms","value":7378,"base":11}}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":6373,"base":11}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2809,"base":11},"right_expr":{"type":"numeric_atoms","value":1006,"base":11}}}}},"used_operators":["8HhzD0ZcuI","nCS4ZIUYfx","tifHPKVTfV","u6S6b8DprG","srAu1WTS94","mp7IySMOzn","zVYPLywUTj","f6k1SAg4EE","Uaa54Peajs","2DlMacCsIx","A8NUZmVepG","B5M0gjZbta"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","k8jYdgA6NY","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2650","layer":4},{"info":"compute unary expreesion, input=2650, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-5300","layer":3},{"info":"number node, value=2193","layer":4},{"info":"compute unary expreesion, input=2193, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-6579","layer":3},{"info":"compute binary expreesion, left_input=-5300, right_input=-6579, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1279","layer":2},{"info":"number node, value=1628","layer":4},{"info":"compute unary expreesion, input=1628, 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=1582","layer":4},{"info":"number node, value=7378","layer":4},{"info":"compute binary expreesion, left_input=1582, right_input=7378, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8960","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-8960, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-1279, right_input=0, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1279","layer":1},{"info":"number node, value=6373","layer":4},{"info":"compute unary expreesion, input=6373, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=49","layer":3},{"info":"number node, value=2809","layer":4},{"info":"number node, value=1006","layer":4},{"info":"compute binary expreesion, left_input=2809, right_input=1006, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=49, 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 = 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=1279, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((↽≂⋰*⋻1A9A)⇼⇔∾(⨵≀≌⋰*⋻1714))⨳⩥⨓(⋰*⋻1250⊪)⇷(⋰*⋻1209⪒⋰*⋻55A8))⨽(∂((↥⋰*⋻4874)⩨⋰*⋻2124↬⋰*⋻835))=NaN","reverse_text":"NaN=(((↽≂⋰*⋻1A9A)⇼⇔∾(⨵≀≌⋰*⋻1714))⨳⩥⨓(⋰*⋻1250⊪)⇷(⋰*⋻1209⪒⋰*⋻55A8))⨽(∂((↥⋰*⋻4874)⩨⋰*⋻2124↬⋰*⋻835))","cot":[{"info":"↽≂⋰*⋻1A9A=⋰*⋻-3A89","layer":3},{"info":"⨵≀≌⋰*⋻1714=⋰*⋻-4A41","layer":3},{"info":"⋰*⋻-3A89⇼⇔∾⋰*⋻-4A41=⋰*⋻-A63","layer":2},{"info":"⋰*⋻1250⊪=⋰*⋻0","layer":3},{"info":"⋰*⋻1209⪒⋰*⋻55A8=⋰*⋻-6806","layer":3},{"info":"⋰*⋻0⇷⋰*⋻-6806=⋰*⋻0","layer":2},{"info":"⋰*⋻-A63⨳⩥⨓⋰*⋻0=⋰*⋻A63","layer":1},{"info":"↥⋰*⋻4874=⋰*⋻45","layer":3},{"info":"⋰*⋻2124↬⋰*⋻835=NaN","layer":3},{"info":"⋰*⋻45⩨NaN=NaN","layer":2},{"info":"∂NaN=NaN","layer":1},{"info":"⋰*⋻A63⨽NaN=NaN","layer":0}]}
{"id":521,"expression_no_base_symbol":"⇁⨣⪵($4680$↺$2578$⨵⪆$3246$↺$2504$)⩷∴($1591$⨐⩸⫘$1096$⊉≛↸($1319$⊘))","expression":"⇁⨣⪵(⋰*⋻3575↺⋰*⋻1A34⨵⪆⋰*⋻2491↺⋰*⋻1977)⩷∴(⋰*⋻1217⨐⩸⫘⋰*⋻907⊉≛↸(⋰*⋻A9A⊘))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":34,"operation_count":8,"complexity_ratio":4.25,"tree":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":4680,"base":11},"right_expr":{"type":"numeric_atoms","value":2578,"base":11}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3246,"base":11},"right_expr":{"type":"numeric_atoms","value":2504,"base":11}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1591,"base":11},"right_expr":{"type":"numeric_atoms","value":1096,"base":11}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1319,"base":11}}}}},"used_operators":["inkyxCbjAn","9FxExcQeMw","2DQ55sFlQl","7j4O788W3g","DZ8iAZOCBD","fu6greOZ01","gu96TGCTMs"],"dependent_operators":["B5M0gjZbta","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=4680","layer":4},{"info":"number node, value=2578","layer":4},{"info":"compute binary expreesion, left_input=4680, right_input=2578, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2578","layer":3},{"info":"number node, value=3246","layer":4},{"info":"number node, value=2504","layer":4},{"info":"compute binary expreesion, left_input=3246, right_input=2504, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2504","layer":3},{"info":"compute binary expreesion, left_input=2578, right_input=2504, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=1591","layer":4},{"info":"number node, value=1096","layer":4},{"info":"compute binary expreesion, left_input=1591, 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":3},{"info":"number node, value=1319","layer":4},{"info":"compute unary expreesion, input=1319, 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 = 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 = 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 = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⇁⨣⪵(⋰*⋻3575↺⋰*⋻1A34⨵⪆⋰*⋻2491↺⋰*⋻1977)⩷∴(⋰*⋻1217⨐⩸⫘⋰*⋻907⊉≛↸(⋰*⋻A9A⊘))=NaN","reverse_text":"NaN=⇁⨣⪵(⋰*⋻3575↺⋰*⋻1A34⨵⪆⋰*⋻2491↺⋰*⋻1977)⩷∴(⋰*⋻1217⨐⩸⫘⋰*⋻907⊉≛↸(⋰*⋻A9A⊘))","cot":[{"info":"⋰*⋻3575↺⋰*⋻1A34=⋰*⋻1A34","layer":3},{"info":"⋰*⋻2491↺⋰*⋻1977=⋰*⋻1977","layer":3},{"info":"⋰*⋻1A34⨵⪆⋰*⋻1977=⋰*⋻136","layer":2},{"info":"⋰*⋻1217⨐⩸⫘⋰*⋻907=NaN","layer":3},{"info":"⋰*⋻A9A⊘=⋰*⋻0","layer":3},{"info":"NaN⊉≛↸⋰*⋻0=NaN","layer":2},{"info":"⋰*⋻136⩷∴NaN=NaN","layer":1},{"info":"⇁⨣⪵NaN=NaN","layer":0}]}
{"id":522,"expression_no_base_symbol":"(⇁⨣⪵$1355$⨪↰⇹$1954$)⪢(($1004$↙$1983$)+⇶⊼($1059$↙$4779$))⨐⩸⫘(((⪝⪂⫅$2706$)⪄$1438$⪢$1124$)⊪)","expression":"(⇁⨣⪵⋰*⋻1022⨪↰⇹⋰*⋻1517)⪢((⋰*⋻833↙⋰*⋻1543)+⇶⊼(⋰*⋻883↙⋰*⋻3655))⨐⩸⫘(((⪝⪂⫅⋰*⋻2040)⪄⋰*⋻1098⪢⋰*⋻932)⊪)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":11253,"operation_count":11,"complexity_ratio":1023.0,"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":1355,"base":11},"right_expr":{"type":"numeric_atoms","value":1954,"base":11}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1004,"base":11},"right_expr":{"type":"numeric_atoms","value":1983,"base":11}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1059,"base":11},"right_expr":{"type":"numeric_atoms","value":4779,"base":11}}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":2706,"base":11}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1438,"base":11},"right_expr":{"type":"numeric_atoms","value":1124,"base":11}}}}},"used_operators":["fu6greOZ01","dWAJyo7jo9","inkyxCbjAn","tmPS8pqC7x","TpPTUOHfaN","yyfyN0ffXY","zVYPLywUTj","SUmda5xLS4","XTarYq4gQB"],"dependent_operators":["3ViojmjbAp","k8jYdgA6NY","B5M0gjZbta","rJVOvQCfKK","AHs5Up7iyr","tmPS8pqC7x","DpFCA1CohY","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9HNa5Wba9A","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1355","layer":4},{"info":"number node, value=1954","layer":4},{"info":"compute binary expreesion, left_input=1355, right_input=1954, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1355","layer":3},{"info":"compute unary expreesion, input=1355, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"number node, value=1004","layer":4},{"info":"number node, value=1983","layer":4},{"info":"compute binary expreesion, left_input=1004, right_input=1983, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5949","layer":3},{"info":"number node, value=1059","layer":4},{"info":"number node, value=4779","layer":4},{"info":"compute binary expreesion, left_input=1059, right_input=4779, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-14337","layer":3},{"info":"compute binary expreesion, left_input=-5949, right_input=-14337, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=2706","layer":4},{"info":"compute unary expreesion, input=2706, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-397782","layer":3},{"info":"number node, value=1438","layer":4},{"info":"number node, value=1124","layer":4},{"info":"compute binary expreesion, left_input=1438, right_input=1124, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=-397782, 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 = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⇁⨣⪵⋰*⋻1022⨪↰⇹⋰*⋻1517)⪢((⋰*⋻833↙⋰*⋻1543)+⇶⊼(⋰*⋻883↙⋰*⋻3655))⨐⩸⫘(((⪝⪂⫅⋰*⋻2040)⪄⋰*⋻1098⪢⋰*⋻932)⊪)=NaN","reverse_text":"NaN=(⇁⨣⪵⋰*⋻1022⨪↰⇹⋰*⋻1517)⪢((⋰*⋻833↙⋰*⋻1543)+⇶⊼(⋰*⋻883↙⋰*⋻3655))⨐⩸⫘(((⪝⪂⫅⋰*⋻2040)⪄⋰*⋻1098⪢⋰*⋻932)⊪)","cot":[{"info":"⋰*⋻1022⨪↰⇹⋰*⋻1517=⋰*⋻1022","layer":3},{"info":"⇁⨣⪵⋰*⋻1022=NaN","layer":2},{"info":"⋰*⋻833↙⋰*⋻1543=⋰*⋻-4519","layer":3},{"info":"⋰*⋻883↙⋰*⋻3655=⋰*⋻-A854","layer":3},{"info":"⋰*⋻-4519+⇶⊼⋰*⋻-A854=NaN","layer":2},{"info":"NaN⪢NaN=NaN","layer":1},{"info":"⪝⪂⫅⋰*⋻2040=⋰*⋻-251950","layer":3},{"info":"⋰*⋻1098⪢⋰*⋻932=NaN","layer":3},{"info":"⋰*⋻-251950⪄NaN=⋰*⋻2A98","layer":2},{"info":"⋰*⋻2A98⊪=⋰*⋻0","layer":1},{"info":"NaN⨐⩸⫘⋰*⋻0=NaN","layer":0}]}
{"id":523,"expression_no_base_symbol":"((⨑⩽⪐$3282$)⋳⪒(↣≠⋷$2303$)⪠⩆⊳)⨟⋌⩍(($5462$⪄$1549$)⪘⫢($3416$↺$5213$)⨁⊸⫻)","expression":"((⨑⩽⪐⋰*⋻2514)⋳⪒(↣≠⋷⋰*⋻1804)⪠⩆⊳)⨟⋌⩍((⋰*⋻4116⪄⋰*⋻1189)⪘⫢(⋰*⋻2626↺⋰*⋻3A0A)⨁⊸⫻)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":137,"operation_count":9,"complexity_ratio":15.222222222222221,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":3282,"base":11}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2303,"base":11}}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":5462,"base":11},"right_expr":{"type":"numeric_atoms","value":1549,"base":11}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3416,"base":11},"right_expr":{"type":"numeric_atoms","value":5213,"base":11}}}}},"used_operators":["rGHVDoGpnC","JLbD19bQDL","12rbrZMWeM","AF7qkfDlqP","Asc51vEJeQ","glklzrTFfD","oacrs7FA3X","SUmda5xLS4","7j4O788W3g"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3282","layer":4},{"info":"compute unary expreesion, input=3282, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-3009","layer":3},{"info":"number node, value=2303","layer":4},{"info":"compute unary expreesion, input=2303, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3009, 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 = 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=5462","layer":4},{"info":"number node, value=1549","layer":4},{"info":"compute binary expreesion, left_input=5462, right_input=1549, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-810661","layer":3},{"info":"number node, value=3416","layer":4},{"info":"number node, value=5213","layer":4},{"info":"compute binary expreesion, left_input=3416, right_input=5213, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5213","layer":3},{"info":"compute binary expreesion, left_input=-810661, right_input=5213, 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 = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=-2","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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":11,"result_base":11,"text":"((⨑⩽⪐⋰*⋻2514)⋳⪒(↣≠⋷⋰*⋻1804)⪠⩆⊳)⨟⋌⩍((⋰*⋻4116⪄⋰*⋻1189)⪘⫢(⋰*⋻2626↺⋰*⋻3A0A)⨁⊸⫻)=NaN","reverse_text":"NaN=((⨑⩽⪐⋰*⋻2514)⋳⪒(↣≠⋷⋰*⋻1804)⪠⩆⊳)⨟⋌⩍((⋰*⋻4116⪄⋰*⋻1189)⪘⫢(⋰*⋻2626↺⋰*⋻3A0A)⨁⊸⫻)","cot":[{"info":"⨑⩽⪐⋰*⋻2514=⋰*⋻-2296","layer":3},{"info":"↣≠⋷⋰*⋻1804=NaN","layer":3},{"info":"⋰*⋻-2296⋳⪒NaN=NaN","layer":2},{"info":"NaN⪠⩆⊳=NaN","layer":1},{"info":"⋰*⋻4116⪄⋰*⋻1189=⋰*⋻-504075","layer":3},{"info":"⋰*⋻2626↺⋰*⋻3A0A=⋰*⋻3A0A","layer":3},{"info":"⋰*⋻-504075⪘⫢⋰*⋻3A0A=⋰*⋻-1","layer":2},{"info":"⋰*⋻-1⨁⊸⫻=⋰*⋻-2","layer":1},{"info":"NaN⨟⋌⩍⋰*⋻-2=NaN","layer":0}]}
{"id":524,"expression_no_base_symbol":"↔(($2038$⨽$2345$)⋓(⇁⨣⪵$2706$)*($1253$*$2171$)⫸⊐(⊄⩳↩$1240$))","expression":"↔((⋰*⋻1593⨽⋰*⋻1842)⋓(⇁⨣⪵⋰*⋻2040)*(⋰*⋻A3A*⋰*⋻16A4)⫸⊐(⊄⩳↩⋰*⋻A28))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3362,"operation_count":8,"complexity_ratio":420.25,"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":2038,"base":11},"right_expr":{"type":"numeric_atoms","value":2345,"base":11}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2706,"base":11}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1253,"base":11},"right_expr":{"type":"numeric_atoms","value":2171,"base":11}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1240,"base":11}}}}},"used_operators":["ruOEQAzv1W","9HNa5Wba9A","T2fj7uvVaJ","8HhzD0ZcuI","inkyxCbjAn","mqXw5SEYmG","8w2t5hMYqp"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","B5M0gjZbta","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻-112","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2038","layer":4},{"info":"number node, value=2345","layer":4},{"info":"compute binary expreesion, left_input=2038, right_input=2345, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-12466053","layer":3},{"info":"number node, value=2706","layer":4},{"info":"compute unary expreesion, input=2706, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-12466053, 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=1253","layer":4},{"info":"number node, value=2171","layer":4},{"info":"compute binary expreesion, left_input=1253, right_input=2171, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2720263","layer":3},{"info":"number node, value=1240","layer":4},{"info":"compute unary expreesion, input=1240, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3720","layer":3},{"info":"compute binary expreesion, left_input=2720263, right_input=-3720, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-7569","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-7569, 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":11,"result_base":11,"text":"↔((⋰*⋻1593⨽⋰*⋻1842)⋓(⇁⨣⪵⋰*⋻2040)*(⋰*⋻A3A*⋰*⋻16A4)⫸⊐(⊄⩳↩⋰*⋻A28))=⋰*⋻-112","reverse_text":"⋰*⋻-112=↔((⋰*⋻1593⨽⋰*⋻1842)⋓(⇁⨣⪵⋰*⋻2040)*(⋰*⋻A3A*⋰*⋻16A4)⫸⊐(⊄⩳↩⋰*⋻A28))","cot":[{"info":"⋰*⋻1593⨽⋰*⋻1842=⋰*⋻-7044A26","layer":3},{"info":"⇁⨣⪵⋰*⋻2040=NaN","layer":3},{"info":"⋰*⋻-7044A26⋓NaN=NaN","layer":2},{"info":"⋰*⋻A3A*⋰*⋻16A4=⋰*⋻1598857","layer":3},{"info":"⊄⩳↩⋰*⋻A28=⋰*⋻-2882","layer":3},{"info":"⋰*⋻1598857⫸⊐⋰*⋻-2882=⋰*⋻-5761","layer":2},{"info":"NaN*⋰*⋻-5761=NaN","layer":1},{"info":"↔NaN=⋰*⋻-112","layer":0}]}
{"id":525,"expression_no_base_symbol":"((⇁⨣⪵$3518$)⇼⇔∾($4022$⊘))⋳⪒($2059$⪨≂$3964$)+⇶⊼($3716$-$2003$)⇼⇔∾(($2622$⫩⊇)⊦⊿)≧⫂∧($3238$⊭↱$1781$⨸⪁$8805$⪢$1686$)","expression":"((⇁⨣⪵⋰*⋻2709)⇼⇔∾(⋰*⋻3027⊘))⋳⪒(⋰*⋻1602⪨≂⋰*⋻2A84)+⇶⊼(⋰*⋻2879-⋰*⋻1561)⇼⇔∾((⋰*⋻1A74⫩⊇)⊦⊿)≧⫂∧(⋰*⋻2484⊭↱⋰*⋻137A⨸⪁⋰*⋻6685⪢⋰*⋻12A3)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3084,"operation_count":14,"complexity_ratio":220.28571428571428,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":3518,"base":11}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":4022,"base":11}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2059,"base":11},"right_expr":{"type":"numeric_atoms","value":3964,"base":11}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3716,"base":11},"right_expr":{"type":"numeric_atoms","value":2003,"base":11}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":2622,"base":11}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3238,"base":11},"right_expr":{"type":"numeric_atoms","value":1781,"base":11}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":8805,"base":11},"right_expr":{"type":"numeric_atoms","value":1686,"base":11}}}}},"used_operators":["tifHPKVTfV","12rbrZMWeM","inkyxCbjAn","gu96TGCTMs","TpPTUOHfaN","sdazOOVcIp","rysDP5nf3Z","Ph9nP6C5qx","14qkJME0vr","BjRHVeLaeN","g55IO6H4Gj","COABgblf1C","dWAJyo7jo9"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3518","layer":4},{"info":"compute unary expreesion, input=3518, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=4022","layer":4},{"info":"compute unary expreesion, input=4022, 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 = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"number node, value=2059","layer":4},{"info":"number node, value=3964","layer":4},{"info":"compute binary expreesion, left_input=2059, right_input=3964, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-3708","layer":3},{"info":"number node, value=3716","layer":4},{"info":"number node, value=2003","layer":4},{"info":"compute binary expreesion, left_input=3716, right_input=2003, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1713","layer":3},{"info":"compute binary expreesion, left_input=-3708, right_input=1713, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=2622","layer":4},{"info":"compute unary expreesion, input=2622, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-2580","layer":3},{"info":"compute unary expreesion, input=-2580, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=7661","layer":2},{"info":"number node, value=3238","layer":4},{"info":"number node, value=1781","layer":4},{"info":"compute binary expreesion, left_input=3238, right_input=1781, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-2909","layer":3},{"info":"number node, value=8805","layer":4},{"info":"number node, value=1686","layer":4},{"info":"compute binary expreesion, left_input=8805, right_input=1686, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=-2909, 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=7661, 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 = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⇁⨣⪵⋰*⋻2709)⇼⇔∾(⋰*⋻3027⊘))⋳⪒(⋰*⋻1602⪨≂⋰*⋻2A84)+⇶⊼(⋰*⋻2879-⋰*⋻1561)⇼⇔∾((⋰*⋻1A74⫩⊇)⊦⊿)≧⫂∧(⋰*⋻2484⊭↱⋰*⋻137A⨸⪁⋰*⋻6685⪢⋰*⋻12A3)=NaN","reverse_text":"NaN=((⇁⨣⪵⋰*⋻2709)⇼⇔∾(⋰*⋻3027⊘))⋳⪒(⋰*⋻1602⪨≂⋰*⋻2A84)+⇶⊼(⋰*⋻2879-⋰*⋻1561)⇼⇔∾((⋰*⋻1A74⫩⊇)⊦⊿)≧⫂∧(⋰*⋻2484⊭↱⋰*⋻137A⨸⪁⋰*⋻6685⪢⋰*⋻12A3)","cot":[{"info":"⇁⨣⪵⋰*⋻2709=NaN","layer":3},{"info":"⋰*⋻3027⊘=⋰*⋻0","layer":3},{"info":"NaN⇼⇔∾⋰*⋻0=NaN","layer":2},{"info":"⋰*⋻1602⪨≂⋰*⋻2A84=⋰*⋻-2871","layer":3},{"info":"⋰*⋻2879-⋰*⋻1561=⋰*⋻1318","layer":3},{"info":"⋰*⋻-2871+⇶⊼⋰*⋻1318=NaN","layer":2},{"info":"NaN⋳⪒NaN=NaN","layer":1},{"info":"⋰*⋻1A74⫩⊇=⋰*⋻-1A36","layer":3},{"info":"⋰*⋻-1A36⊦⊿=⋰*⋻5835","layer":2},{"info":"⋰*⋻2484⊭↱⋰*⋻137A=⋰*⋻-2205","layer":3},{"info":"⋰*⋻6685⪢⋰*⋻12A3=NaN","layer":3},{"info":"⋰*⋻-2205⨸⪁NaN=NaN","layer":2},{"info":"⋰*⋻5835≧⫂∧NaN=NaN","layer":1},{"info":"NaN⇼⇔∾NaN=NaN","layer":0}]}
{"id":526,"expression_no_base_symbol":"(($1491$⩚⊴⇥$3317$⨸⪁($2559$⨵⪆$1029$))≭($1012$⊭↱$2141$⋷(⨵≀≌$1326$)))⋓(≦∁$7316$⨳⩥⨓$2379$∲⫓$5433$⨽$5487$)","expression":"((⋰*⋻1136⩚⊴⇥⋰*⋻2546⨸⪁(⋰*⋻1A17⨵⪆⋰*⋻856))≭(⋰*⋻840⊭↱⋰*⋻1677⋷(⨵≀≌⋰*⋻AA6)))⋓(≦∁⋰*⋻5551⨳⩥⨓⋰*⋻1873∲⫓⋰*⋻409A⨽⋰*⋻4139)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5521,"operation_count":12,"complexity_ratio":460.0833333333333,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1491,"base":11},"right_expr":{"type":"numeric_atoms","value":3317,"base":11}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2559,"base":11},"right_expr":{"type":"numeric_atoms","value":1029,"base":11}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1012,"base":11},"right_expr":{"type":"numeric_atoms","value":2141,"base":11}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1326,"base":11}}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":7316,"base":11},"right_expr":{"type":"numeric_atoms","value":2379,"base":11}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":5433,"base":11},"right_expr":{"type":"numeric_atoms","value":5487,"base":11}}}}},"used_operators":["T2fj7uvVaJ","rxpJgHHUmx","g55IO6H4Gj","NTOWxs364D","2DQ55sFlQl","23Mk6UjR3U","COABgblf1C","srAu1WTS94","9ICcGScMcE","i8ToyICDmI","nCS4ZIUYfx","8HhzD0ZcuI"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","AHs5Up7iyr","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1491","layer":4},{"info":"number node, value=3317","layer":4},{"info":"compute binary expreesion, left_input=1491, right_input=3317, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4929","layer":3},{"info":"number node, value=2559","layer":4},{"info":"number node, value=1029","layer":4},{"info":"compute binary expreesion, left_input=2559, right_input=1029, 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=-4929, right_input=160, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-9538","layer":2},{"info":"number node, value=1012","layer":4},{"info":"number node, value=2141","layer":4},{"info":"compute binary expreesion, left_input=1012, right_input=2141, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=2263","layer":3},{"info":"number node, value=1326","layer":4},{"info":"compute unary expreesion, input=1326, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3978","layer":3},{"info":"compute binary expreesion, left_input=2263, right_input=-3978, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-10219","layer":2},{"info":"compute binary expreesion, left_input=-9538, right_input=-10219, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=7316","layer":4},{"info":"number node, value=2379","layer":4},{"info":"compute binary expreesion, left_input=7316, right_input=2379, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-4937","layer":3},{"info":"number node, value=5433","layer":4},{"info":"number node, value=5487","layer":4},{"info":"compute binary expreesion, left_input=5433, right_input=5487, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-88567614","layer":3},{"info":"compute binary expreesion, left_input=-4937, right_input=-88567614, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-4937","layer":2},{"info":"compute unary expreesion, input=-4937, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=67","layer":1},{"info":"compute 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":11,"result_base":11,"text":"((⋰*⋻1136⩚⊴⇥⋰*⋻2546⨸⪁(⋰*⋻1A17⨵⪆⋰*⋻856))≭(⋰*⋻840⊭↱⋰*⋻1677⋷(⨵≀≌⋰*⋻AA6)))⋓(≦∁⋰*⋻5551⨳⩥⨓⋰*⋻1873∲⫓⋰*⋻409A⨽⋰*⋻4139)=⋰*⋻0","reverse_text":"⋰*⋻0=((⋰*⋻1136⩚⊴⇥⋰*⋻2546⨸⪁(⋰*⋻1A17⨵⪆⋰*⋻856))≭(⋰*⋻840⊭↱⋰*⋻1677⋷(⨵≀≌⋰*⋻AA6)))⋓(≦∁⋰*⋻5551⨳⩥⨓⋰*⋻1873∲⫓⋰*⋻409A⨽⋰*⋻4139)","cot":[{"info":"⋰*⋻1136⩚⊴⇥⋰*⋻2546=⋰*⋻-3781","layer":3},{"info":"⋰*⋻1A17⨵⪆⋰*⋻856=⋰*⋻136","layer":3},{"info":"⋰*⋻-3781⨸⪁⋰*⋻136=⋰*⋻-7191","layer":2},{"info":"⋰*⋻840⊭↱⋰*⋻1677=⋰*⋻1778","layer":3},{"info":"⨵≀≌⋰*⋻AA6=⋰*⋻-2A97","layer":3},{"info":"⋰*⋻1778⋷⋰*⋻-2A97=⋰*⋻-7750","layer":2},{"info":"⋰*⋻-7191≭⋰*⋻-7750=NaN","layer":1},{"info":"⋰*⋻5551⨳⩥⨓⋰*⋻1873=⋰*⋻-3789","layer":3},{"info":"⋰*⋻409A⨽⋰*⋻4139=⋰*⋻-45AA3183","layer":3},{"info":"⋰*⋻-3789∲⫓⋰*⋻-45AA3183=⋰*⋻-3789","layer":2},{"info":"≦∁⋰*⋻-3789=⋰*⋻61","layer":1},{"info":"NaN⋓⋰*⋻61=⋰*⋻0","layer":0}]}
{"id":527,"expression_no_base_symbol":"(($1043$⋝⋈⪟$1521$)∑⇟⊟($6678$⨸⪁$1165$)⩚⊴⇥$6922$⪢$1596$⪛($1371$↛⩡⫤))⋓(↯⪼($5918$∼$1404$⨎$7812$⪢$7347$))","expression":"((⋰*⋻869⋝⋈⪟⋰*⋻1163)∑⇟⊟(⋰*⋻5021⨸⪁⋰*⋻96A)⩚⊴⇥⋰*⋻5223⪢⋰*⋻1221⪛(⋰*⋻1037↛⩡⫤))⋓(↯⪼(⋰*⋻44A0∼⋰*⋻1067⨎⋰*⋻5962⪢⋰*⋻557A))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":17411,"operation_count":12,"complexity_ratio":1450.9166666666667,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1043,"base":11},"right_expr":{"type":"numeric_atoms","value":1521,"base":11}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":6678,"base":11},"right_expr":{"type":"numeric_atoms","value":1165,"base":11}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":6922,"base":11},"right_expr":{"type":"numeric_atoms","value":1596,"base":11}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1371,"base":11}}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5918,"base":11},"right_expr":{"type":"numeric_atoms","value":1404,"base":11}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":7812,"base":11},"right_expr":{"type":"numeric_atoms","value":7347,"base":11}}}}},"used_operators":["T2fj7uvVaJ","NTOWxs364D","U7g4x0WXJJ","2DDjHMKMc0","g55IO6H4Gj","uFcxV4UQCh","dWAJyo7jo9","FU0Cs4j7VP","8jW3W4yZS5","rJVOvQCfKK","DyGG3AbaNP"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","k8jYdgA6NY","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1043","layer":4},{"info":"number node, value=1521","layer":4},{"info":"compute binary expreesion, left_input=1043, right_input=1521, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1043","layer":3},{"info":"number node, value=6678","layer":4},{"info":"number node, value=1165","layer":4},{"info":"compute binary expreesion, left_input=6678, right_input=1165, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=15686","layer":3},{"info":"compute binary expreesion, left_input=1043, right_input=15686, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=6922","layer":4},{"info":"number node, value=1596","layer":4},{"info":"compute binary expreesion, left_input=6922, right_input=1596, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1371","layer":4},{"info":"compute unary expreesion, input=1371, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-203110","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-203110, 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":"number node, value=5918","layer":4},{"info":"number node, value=1404","layer":4},{"info":"compute binary expreesion, left_input=5918, right_input=1404, 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=7812","layer":4},{"info":"number node, value=7347","layer":4},{"info":"compute binary expreesion, left_input=7812, right_input=7347, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = 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 = 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 = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻869⋝⋈⪟⋰*⋻1163)∑⇟⊟(⋰*⋻5021⨸⪁⋰*⋻96A)⩚⊴⇥⋰*⋻5223⪢⋰*⋻1221⪛(⋰*⋻1037↛⩡⫤))⋓(↯⪼(⋰*⋻44A0∼⋰*⋻1067⨎⋰*⋻5962⪢⋰*⋻557A))=⋰*⋻0","reverse_text":"⋰*⋻0=((⋰*⋻869⋝⋈⪟⋰*⋻1163)∑⇟⊟(⋰*⋻5021⨸⪁⋰*⋻96A)⩚⊴⇥⋰*⋻5223⪢⋰*⋻1221⪛(⋰*⋻1037↛⩡⫤))⋓(↯⪼(⋰*⋻44A0∼⋰*⋻1067⨎⋰*⋻5962⪢⋰*⋻557A))","cot":[{"info":"⋰*⋻869⋝⋈⪟⋰*⋻1163=⋰*⋻869","layer":3},{"info":"⋰*⋻5021⨸⪁⋰*⋻96A=⋰*⋻10870","layer":3},{"info":"⋰*⋻869∑⇟⊟⋰*⋻10870=NaN","layer":2},{"info":"⋰*⋻5223⪢⋰*⋻1221=NaN","layer":3},{"info":"⋰*⋻1037↛⩡⫤=⋰*⋻-129666","layer":3},{"info":"NaN⪛⋰*⋻-129666=NaN","layer":2},{"info":"NaN⩚⊴⇥NaN=NaN","layer":1},{"info":"⋰*⋻44A0∼⋰*⋻1067=NaN","layer":3},{"info":"⋰*⋻5962⪢⋰*⋻557A=NaN","layer":3},{"info":"NaN⨎NaN=NaN","layer":2},{"info":"↯⪼NaN=⋰*⋻-1A","layer":1},{"info":"NaN⋓⋰*⋻-1A=⋰*⋻0","layer":0}]}
{"id":528,"expression_no_base_symbol":"(($5383$⨓$3092$⩚⊴⇥(≤/$3200$))∀⇚≩(($2261$⋳⪒$1853$)+⇶⊼($1251$+$1079$)))⪛(⨑⩽⪐(⨵≀≌$1808$⋝⋈⪟$7095$))","expression":"((⋰*⋻4054⨓⋰*⋻2361⩚⊴⇥(≤/⋰*⋻244A))∀⇚≩((⋰*⋻1776⋳⪒⋰*⋻1435)+⇶⊼(⋰*⋻A38+⋰*⋻8A1)))⪛(⨑⩽⪐(⨵≀≌⋰*⋻13A4⋝⋈⪟⋰*⋻5370))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":42958,"operation_count":11,"complexity_ratio":3905.2727272727275,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":5383,"base":11},"right_expr":{"type":"numeric_atoms","value":3092,"base":11}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":3200,"base":11}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2261,"base":11},"right_expr":{"type":"numeric_atoms","value":1853,"base":11}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1251,"base":11},"right_expr":{"type":"numeric_atoms","value":1079,"base":11}}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1808,"base":11},"right_expr":{"type":"numeric_atoms","value":7095,"base":11}}}}},"used_operators":["uFcxV4UQCh","LRNGc0VcxI","NTOWxs364D","3ViojmjbAp","eLAdDNolq6","TpPTUOHfaN","12rbrZMWeM","W4YGzv6Whe","AF7qkfDlqP","srAu1WTS94","2DDjHMKMc0"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5383","layer":4},{"info":"number node, value=3092","layer":4},{"info":"compute binary expreesion, left_input=5383, right_input=3092, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3095","layer":3},{"info":"number node, value=3200","layer":4},{"info":"compute unary expreesion, input=3200, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2716","layer":3},{"info":"compute binary expreesion, left_input=-3095, right_input=-2716, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=5690","layer":2},{"info":"number node, value=2261","layer":4},{"info":"number node, value=1853","layer":4},{"info":"compute binary expreesion, left_input=2261, right_input=1853, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2382","layer":3},{"info":"number node, value=1251","layer":4},{"info":"number node, value=1079","layer":4},{"info":"compute binary expreesion, left_input=1251, right_input=1079, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2330","layer":3},{"info":"compute binary expreesion, left_input=2382, right_input=2330, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=5690, 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=1808","layer":4},{"info":"number node, value=7095","layer":4},{"info":"compute binary expreesion, left_input=1808, right_input=7095, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1808","layer":3},{"info":"compute unary expreesion, input=1808, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-5424","layer":2},{"info":"compute unary expreesion, input=-5424, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=11637","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=11637, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻4054⨓⋰*⋻2361⩚⊴⇥(≤/⋰*⋻244A))∀⇚≩((⋰*⋻1776⋳⪒⋰*⋻1435)+⇶⊼(⋰*⋻A38+⋰*⋻8A1)))⪛(⨑⩽⪐(⨵≀≌⋰*⋻13A4⋝⋈⪟⋰*⋻5370))=NaN","reverse_text":"NaN=((⋰*⋻4054⨓⋰*⋻2361⩚⊴⇥(≤/⋰*⋻244A))∀⇚≩((⋰*⋻1776⋳⪒⋰*⋻1435)+⇶⊼(⋰*⋻A38+⋰*⋻8A1)))⪛(⨑⩽⪐(⨵≀≌⋰*⋻13A4⋝⋈⪟⋰*⋻5370))","cot":[{"info":"⋰*⋻4054⨓⋰*⋻2361=⋰*⋻-2364","layer":3},{"info":"≤/⋰*⋻244A=⋰*⋻-204A","layer":3},{"info":"⋰*⋻-2364⩚⊴⇥⋰*⋻-204A=⋰*⋻4303","layer":2},{"info":"⋰*⋻1776⋳⪒⋰*⋻1435=⋰*⋻1876","layer":3},{"info":"⋰*⋻A38+⋰*⋻8A1=⋰*⋻1829","layer":3},{"info":"⋰*⋻1876+⇶⊼⋰*⋻1829=NaN","layer":2},{"info":"⋰*⋻4303∀⇚≩NaN=NaN","layer":1},{"info":"⋰*⋻13A4⋝⋈⪟⋰*⋻5370=⋰*⋻13A4","layer":3},{"info":"⨵≀≌⋰*⋻13A4=⋰*⋻-4091","layer":2},{"info":"⨑⩽⪐⋰*⋻-4091=⋰*⋻881A","layer":1},{"info":"NaN⪛⋰*⋻881A=NaN","layer":0}]}
{"id":529,"expression_no_base_symbol":"(($1826$⨎$7651$)≹⇙⪍($2608$≧⫂∧$1780$)≭(↽≂$1058$)≧⫂∧($6131$⪄$1050$))≹⇙⪍((⊙↵-($3089$⇋≉))∧)","expression":"((⋰*⋻1410⨎⋰*⋻5826)≹⇙⪍(⋰*⋻1A61≧⫂∧⋰*⋻1379)≭(↽≂⋰*⋻882)≧⫂∧(⋰*⋻4674⪄⋰*⋻875))≹⇙⪍((⊙↵-(⋰*⋻2359⇋≉))∧)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7547,"operation_count":11,"complexity_ratio":686.0909090909091,"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":1826,"base":11},"right_expr":{"type":"numeric_atoms","value":7651,"base":11}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2608,"base":11},"right_expr":{"type":"numeric_atoms","value":1780,"base":11}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1058,"base":11}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":6131,"base":11},"right_expr":{"type":"numeric_atoms","value":1050,"base":11}}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":3089,"base":11}}}}},"used_operators":["AHs5Up7iyr","rxpJgHHUmx","rJVOvQCfKK","Ph9nP6C5qx","u6S6b8DprG","SUmda5xLS4","z63VuFQld9","oWn0xqSxBt","XIabStNQrY"],"dependent_operators":["dWAJyo7jo9","AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1826","layer":4},{"info":"number node, value=7651","layer":4},{"info":"compute binary expreesion, left_input=1826, right_input=7651, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=7651","layer":3},{"info":"number node, value=2608","layer":4},{"info":"number node, value=1780","layer":4},{"info":"compute binary expreesion, left_input=2608, right_input=1780, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1307","layer":3},{"info":"compute binary expreesion, left_input=7651, right_input=1307, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=1058","layer":4},{"info":"compute unary expreesion, input=1058, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2116","layer":3},{"info":"number node, value=6131","layer":4},{"info":"number node, value=1050","layer":4},{"info":"compute binary expreesion, left_input=6131, right_input=1050, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-907677","layer":3},{"info":"compute binary expreesion, left_input=-2116, right_input=-907677, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=905561","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=905561, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=3089","layer":4},{"info":"compute unary expreesion, input=3089, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=6080","layer":3},{"info":"compute unary expreesion, input=6080, 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 = 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 = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1410⨎⋰*⋻5826)≹⇙⪍(⋰*⋻1A61≧⫂∧⋰*⋻1379)≭(↽≂⋰*⋻882)≧⫂∧(⋰*⋻4674⪄⋰*⋻875))≹⇙⪍((⊙↵-(⋰*⋻2359⇋≉))∧)=NaN","reverse_text":"NaN=((⋰*⋻1410⨎⋰*⋻5826)≹⇙⪍(⋰*⋻1A61≧⫂∧⋰*⋻1379)≭(↽≂⋰*⋻882)≧⫂∧(⋰*⋻4674⪄⋰*⋻875))≹⇙⪍((⊙↵-(⋰*⋻2359⇋≉))∧)","cot":[{"info":"⋰*⋻1410⨎⋰*⋻5826=⋰*⋻5826","layer":3},{"info":"⋰*⋻1A61≧⫂∧⋰*⋻1379=⋰*⋻A89","layer":3},{"info":"⋰*⋻5826≹⇙⪍⋰*⋻A89=NaN","layer":2},{"info":"↽≂⋰*⋻882=⋰*⋻-1654","layer":3},{"info":"⋰*⋻4674⪄⋰*⋻875=⋰*⋻-56AA51","layer":3},{"info":"⋰*⋻-1654≧⫂∧⋰*⋻-56AA51=⋰*⋻5693A8","layer":2},{"info":"NaN≭⋰*⋻5693A8=NaN","layer":1},{"info":"⋰*⋻2359⇋≉=⋰*⋻4628","layer":3},{"info":"⊙↵-⋰*⋻4628=⋰*⋻-1","layer":2},{"info":"⋰*⋻-1∧=NaN","layer":1},{"info":"NaN≹⇙⪍NaN=NaN","layer":0}]}
{"id":530,"expression_no_base_symbol":"(⪝⪂⫅($1107$≫≃))⫸⊐((⊥$1704$)≫≃)↛⩡⫤","expression":"(⪝⪂⫅(⋰*⋻917≫≃))⫸⊐((⊥⋰*⋻130A)≫≃)↛⩡⫤","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3207,"operation_count":6,"complexity_ratio":534.5,"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":1107,"base":11}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1704,"base":11}}}}},"used_operators":["FU0Cs4j7VP","mqXw5SEYmG","XTarYq4gQB","X99M06cbEe","Q3PJZHRvZv"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9HNa5Wba9A","8w2t5hMYqp","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","fu6greOZ01"],"result":"⋰*⋻-97975","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1107","layer":4},{"info":"compute unary expreesion, input=1107, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=3615","layer":3},{"info":"compute unary expreesion, input=3615, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-531405","layer":2},{"info":"number node, value=1704","layer":4},{"info":"compute unary expreesion, input=1704, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-531405, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":1},{"info":"compute unary expreesion, input=968, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-142257","layer":0}],"base":11,"result_base":11,"text":"(⪝⪂⫅(⋰*⋻917≫≃))⫸⊐((⊥⋰*⋻130A)≫≃)↛⩡⫤=⋰*⋻-97975","reverse_text":"⋰*⋻-97975=(⪝⪂⫅(⋰*⋻917≫≃))⫸⊐((⊥⋰*⋻130A)≫≃)↛⩡⫤","cot":[{"info":"⋰*⋻917≫≃=⋰*⋻2797","layer":3},{"info":"⪝⪂⫅⋰*⋻2797=⋰*⋻-333286","layer":2},{"info":"⊥⋰*⋻130A=NaN","layer":3},{"info":"NaN≫≃=NaN","layer":2},{"info":"⋰*⋻-333286⫸⊐NaN=⋰*⋻800","layer":1},{"info":"⋰*⋻800↛⩡⫤=⋰*⋻-97975","layer":0}]}
{"id":531,"expression_no_base_symbol":"(($3084$⨳⩥⨓$5127$*($3996$∸))⋥≓≎(⨈⫕$1009$)↬($4375$⫩⊇))↬((↣≠⋷$3017$)↬($1145$⋓$2337$)⩷∴(($3996$⩨$1379$)⋝⋈⪟($9304$∲⫓$3823$)))","expression":"((⋰*⋻2354⨳⩥⨓⋰*⋻3941*(⋰*⋻3003∸))⋥≓≎(⨈⫕⋰*⋻838)↬(⋰*⋻3318⫩⊇))↬((↣≠⋷⋰*⋻22A3)↬(⋰*⋻951⋓⋰*⋻1835)⩷∴((⋰*⋻3003⩨⋰*⋻1044)⋝⋈⪟(⋰*⋻6A99∲⫓⋰*⋻2966)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":803,"operation_count":15,"complexity_ratio":53.53333333333333,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3084,"base":11},"right_expr":{"type":"numeric_atoms","value":5127,"base":11}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":3996,"base":11}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1009,"base":11}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":4375,"base":11}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":3017,"base":11}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1145,"base":11},"right_expr":{"type":"numeric_atoms","value":2337,"base":11}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3996,"base":11},"right_expr":{"type":"numeric_atoms","value":1379,"base":11}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":9304,"base":11},"right_expr":{"type":"numeric_atoms","value":3823,"base":11}}}}},"used_operators":["B5M0gjZbta","Qy55tPpLXF","9HNa5Wba9A","nCS4ZIUYfx","o20kRiQErp","megm06wKyl","BjRHVeLaeN","9FxExcQeMw","Asc51vEJeQ","T2fj7uvVaJ","2DDjHMKMc0","2DlMacCsIx","i8ToyICDmI"],"dependent_operators":["rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","tmPS8pqC7x","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","XhwjNDsVaA","AHs5Up7iyr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3084","layer":4},{"info":"number node, value=5127","layer":4},{"info":"compute binary expreesion, left_input=3084, right_input=5127, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2043","layer":3},{"info":"number node, value=3996","layer":4},{"info":"compute unary expreesion, input=3996, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=2043, right_input=177, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=361611","layer":2},{"info":"number node, value=1009","layer":4},{"info":"compute unary expreesion, input=1009, 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=4375","layer":4},{"info":"compute unary expreesion, input=4375, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-4333","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-4333, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=361611, 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=3017","layer":4},{"info":"compute unary expreesion, input=3017, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=1145","layer":4},{"info":"number node, value=2337","layer":4},{"info":"compute binary expreesion, left_input=1145, right_input=2337, op_id = T2fj7uvVaJ binary_op_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 = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=3996","layer":4},{"info":"number node, value=1379","layer":4},{"info":"compute binary expreesion, left_input=3996, right_input=1379, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=9304","layer":4},{"info":"number node, value=3823","layer":4},{"info":"compute binary expreesion, left_input=9304, right_input=3823, 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 = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', 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 = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻2354⨳⩥⨓⋰*⋻3941*(⋰*⋻3003∸))⋥≓≎(⨈⫕⋰*⋻838)↬(⋰*⋻3318⫩⊇))↬((↣≠⋷⋰*⋻22A3)↬(⋰*⋻951⋓⋰*⋻1835)⩷∴((⋰*⋻3003⩨⋰*⋻1044)⋝⋈⪟(⋰*⋻6A99∲⫓⋰*⋻2966)))=NaN","reverse_text":"NaN=((⋰*⋻2354⨳⩥⨓⋰*⋻3941*(⋰*⋻3003∸))⋥≓≎(⨈⫕⋰*⋻838)↬(⋰*⋻3318⫩⊇))↬((↣≠⋷⋰*⋻22A3)↬(⋰*⋻951⋓⋰*⋻1835)⩷∴((⋰*⋻3003⩨⋰*⋻1044)⋝⋈⪟(⋰*⋻6A99∲⫓⋰*⋻2966)))","cot":[{"info":"⋰*⋻2354⨳⩥⨓⋰*⋻3941=⋰*⋻1598","layer":3},{"info":"⋰*⋻3003∸=⋰*⋻151","layer":3},{"info":"⋰*⋻1598*⋰*⋻151=⋰*⋻227758","layer":2},{"info":"⨈⫕⋰*⋻838=⋰*⋻-1A","layer":3},{"info":"⋰*⋻3318⫩⊇=⋰*⋻-328A","layer":3},{"info":"⋰*⋻-1A↬⋰*⋻-328A=NaN","layer":2},{"info":"⋰*⋻227758⋥≓≎NaN=NaN","layer":1},{"info":"↣≠⋷⋰*⋻22A3=NaN","layer":3},{"info":"⋰*⋻951⋓⋰*⋻1835=⋰*⋻0","layer":3},{"info":"NaN↬⋰*⋻0=NaN","layer":2},{"info":"⋰*⋻3003⩨⋰*⋻1044=⋰*⋻0","layer":3},{"info":"⋰*⋻6A99∲⫓⋰*⋻2966=⋰*⋻0","layer":3},{"info":"⋰*⋻0⋝⋈⪟⋰*⋻0=⋰*⋻0","layer":2},{"info":"NaN⩷∴⋰*⋻0=NaN","layer":1},{"info":"NaN↬NaN=NaN","layer":0}]}
{"id":532,"expression_no_base_symbol":"($5167$⊉≛↸$7410$*$1693$↙$1382$⪒($2546$-$1231$)⪘⫢$1499$⇷$1369$)⨐⩸⫘(≤/($3960$⊠≄⫣)⩚⊴⇥($2745$⩤))","expression":"(⋰*⋻3978⊉≛↸⋰*⋻5627*⋰*⋻12AA↙⋰*⋻1047⪒(⋰*⋻1A05-⋰*⋻A1A)⪘⫢⋰*⋻1143⇷⋰*⋻1035)⨐⩸⫘(≤/(⋰*⋻2A80⊠≄⫣)⩚⊴⇥(⋰*⋻2076⩤))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":26553,"operation_count":12,"complexity_ratio":2212.75,"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":5167,"base":11},"right_expr":{"type":"numeric_atoms","value":7410,"base":11}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1693,"base":11},"right_expr":{"type":"numeric_atoms","value":1382,"base":11}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2546,"base":11},"right_expr":{"type":"numeric_atoms","value":1231,"base":11}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1499,"base":11},"right_expr":{"type":"numeric_atoms","value":1369,"base":11}}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":3960,"base":11}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":2745,"base":11}}}}},"used_operators":["fu6greOZ01","f6k1SAg4EE","9HNa5Wba9A","DZ8iAZOCBD","yyfyN0ffXY","oacrs7FA3X","rysDP5nf3Z","mp7IySMOzn","eLAdDNolq6","NTOWxs364D","DIvbN7qnHd","Z2TMIBDE3Q"],"dependent_operators":["3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5167","layer":4},{"info":"number node, value=7410","layer":4},{"info":"compute binary expreesion, left_input=5167, right_input=7410, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=10334","layer":3},{"info":"number node, value=1693","layer":4},{"info":"number node, value=1382","layer":4},{"info":"compute binary expreesion, left_input=1693, right_input=1382, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4146","layer":3},{"info":"compute binary expreesion, left_input=10334, right_input=-4146, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-42844764","layer":2},{"info":"number node, value=2546","layer":4},{"info":"number node, value=1231","layer":4},{"info":"compute binary expreesion, left_input=2546, right_input=1231, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1315","layer":3},{"info":"number node, value=1499","layer":4},{"info":"number node, value=1369","layer":4},{"info":"compute binary expreesion, left_input=1499, right_input=1369, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2738","layer":3},{"info":"compute binary expreesion, left_input=1315, right_input=2738, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2506","layer":2},{"info":"compute binary expreesion, left_input=-42844764, right_input=2506, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=42842258","layer":1},{"info":"number node, value=3960","layer":4},{"info":"compute unary expreesion, input=3960, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=2745","layer":4},{"info":"compute unary expreesion, input=2745, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2745","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-2745, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=2624","layer":2},{"info":"compute unary expreesion, input=2624, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2140","layer":1},{"info":"compute binary expreesion, left_input=42842258, right_input=-2140, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻3978⊉≛↸⋰*⋻5627*⋰*⋻12AA↙⋰*⋻1047⪒(⋰*⋻1A05-⋰*⋻A1A)⪘⫢⋰*⋻1143⇷⋰*⋻1035)⨐⩸⫘(≤/(⋰*⋻2A80⊠≄⫣)⩚⊴⇥(⋰*⋻2076⩤))=NaN","reverse_text":"NaN=(⋰*⋻3978⊉≛↸⋰*⋻5627*⋰*⋻12AA↙⋰*⋻1047⪒(⋰*⋻1A05-⋰*⋻A1A)⪘⫢⋰*⋻1143⇷⋰*⋻1035)⨐⩸⫘(≤/(⋰*⋻2A80⊠≄⫣)⩚⊴⇥(⋰*⋻2076⩤))","cot":[{"info":"⋰*⋻3978⊉≛↸⋰*⋻5627=⋰*⋻7845","layer":3},{"info":"⋰*⋻12AA↙⋰*⋻1047=⋰*⋻-312A","layer":3},{"info":"⋰*⋻7845*⋰*⋻-312A=⋰*⋻-222039A6","layer":2},{"info":"⋰*⋻1A05-⋰*⋻A1A=⋰*⋻A96","layer":3},{"info":"⋰*⋻1143⇷⋰*⋻1035=⋰*⋻206A","layer":3},{"info":"⋰*⋻A96⪘⫢⋰*⋻206A=⋰*⋻1979","layer":2},{"info":"⋰*⋻-222039A6⪒⋰*⋻1979=⋰*⋻22202028","layer":1},{"info":"⋰*⋻2A80⊠≄⫣=⋰*⋻0","layer":3},{"info":"⋰*⋻2076⩤=⋰*⋻-2076","layer":3},{"info":"⋰*⋻0⩚⊴⇥⋰*⋻-2076=⋰*⋻1A76","layer":2},{"info":"≤/⋰*⋻1A76=⋰*⋻-1676","layer":1},{"info":"⋰*⋻22202028⨐⩸⫘⋰*⋻-1676=NaN","layer":0}]}
{"id":533,"expression_no_base_symbol":"(($4270$⨐⩸⫘$4081$)∑⇟⊟($1959$⪄$4367$))⊴($3814$⨵⪆$1545$)⊴($1297$⨰$3997$)/($2734$⇷$2970$⫡⨏(∥⊫$1226$))≧⫂∧($2547$⇼⇔∾$1640$)∑⇟⊟($1966$%$1199$)","expression":"((⋰*⋻3232⨐⩸⫘⋰*⋻3080)∑⇟⊟(⋰*⋻1521⪄⋰*⋻3310))⊴(⋰*⋻2958⨵⪆⋰*⋻1185)⊴(⋰*⋻A7A⨰⋰*⋻3004)/(⋰*⋻2066⇷⋰*⋻2260⫡⨏(∥⊫⋰*⋻A15))≧⫂∧(⋰*⋻1A06⇼⇔∾⋰*⋻1261)∑⇟⊟(⋰*⋻1528%⋰*⋻9A0)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":631193,"operation_count":15,"complexity_ratio":42079.53333333333,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4270,"base":11},"right_expr":{"type":"numeric_atoms","value":4081,"base":11}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1959,"base":11},"right_expr":{"type":"numeric_atoms","value":4367,"base":11}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3814,"base":11},"right_expr":{"type":"numeric_atoms","value":1545,"base":11}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1297,"base":11},"right_expr":{"type":"numeric_atoms","value":3997,"base":11}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2734,"base":11},"right_expr":{"type":"numeric_atoms","value":2970,"base":11}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1226,"base":11}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2547,"base":11},"right_expr":{"type":"numeric_atoms","value":1640,"base":11}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1966,"base":11},"right_expr":{"type":"numeric_atoms","value":1199,"base":11}}}}},"used_operators":["XhwjNDsVaA","Nsiff2A1zJ","U7g4x0WXJJ","fu6greOZ01","SUmda5xLS4","2DQ55sFlQl","eewbuw0ToL","Ph9nP6C5qx","QMFrweE19q","mp7IySMOzn","P8v4zCKN1o","tifHPKVTfV","k8jYdgA6NY"],"dependent_operators":["rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","3ViojmjbAp","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4270","layer":4},{"info":"number node, value=4081","layer":4},{"info":"compute binary expreesion, left_input=4270, right_input=4081, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=1959","layer":4},{"info":"number node, value=4367","layer":4},{"info":"compute binary expreesion, left_input=1959, right_input=4367, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-303489","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-303489, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=3814","layer":4},{"info":"number node, value=1545","layer":4},{"info":"compute binary expreesion, left_input=3814, right_input=1545, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1297","layer":4},{"info":"number node, value=3997","layer":4},{"info":"compute binary expreesion, left_input=1297, right_input=3997, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2690","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-2690, 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 = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=2734","layer":4},{"info":"number node, value=2970","layer":4},{"info":"compute binary expreesion, left_input=2734, right_input=2970, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5940","layer":3},{"info":"number node, value=1226","layer":4},{"info":"compute unary expreesion, input=1226, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2094","layer":3},{"info":"compute binary expreesion, left_input=5940, right_input=2094, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=34671","layer":2},{"info":"number node, value=2547","layer":4},{"info":"number node, value=1640","layer":4},{"info":"compute binary expreesion, left_input=2547, right_input=1640, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-907","layer":3},{"info":"number node, value=1966","layer":4},{"info":"number node, value=1199","layer":4},{"info":"compute binary expreesion, left_input=1966, right_input=1199, op_id = k8jYdgA6NY binary_op_definition= 'None', output=767","layer":3},{"info":"compute binary expreesion, left_input=-907, right_input=767, 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=34671, 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 = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻3232⨐⩸⫘⋰*⋻3080)∑⇟⊟(⋰*⋻1521⪄⋰*⋻3310))⊴(⋰*⋻2958⨵⪆⋰*⋻1185)⊴(⋰*⋻A7A⨰⋰*⋻3004)/(⋰*⋻2066⇷⋰*⋻2260⫡⨏(∥⊫⋰*⋻A15))≧⫂∧(⋰*⋻1A06⇼⇔∾⋰*⋻1261)∑⇟⊟(⋰*⋻1528%⋰*⋻9A0)=NaN","reverse_text":"NaN=((⋰*⋻3232⨐⩸⫘⋰*⋻3080)∑⇟⊟(⋰*⋻1521⪄⋰*⋻3310))⊴(⋰*⋻2958⨵⪆⋰*⋻1185)⊴(⋰*⋻A7A⨰⋰*⋻3004)/(⋰*⋻2066⇷⋰*⋻2260⫡⨏(∥⊫⋰*⋻A15))≧⫂∧(⋰*⋻1A06⇼⇔∾⋰*⋻1261)∑⇟⊟(⋰*⋻1528%⋰*⋻9A0)","cot":[{"info":"⋰*⋻3232⨐⩸⫘⋰*⋻3080=NaN","layer":3},{"info":"⋰*⋻1521⪄⋰*⋻3310=⋰*⋻-19801A","layer":3},{"info":"NaN∑⇟⊟⋰*⋻-19801A=NaN","layer":2},{"info":"⋰*⋻2958⨵⪆⋰*⋻1185=⋰*⋻136","layer":3},{"info":"⋰*⋻A7A⨰⋰*⋻3004=⋰*⋻-2026","layer":3},{"info":"⋰*⋻136⊴⋰*⋻-2026=NaN","layer":2},{"info":"NaN⊴NaN=NaN","layer":1},{"info":"⋰*⋻2066⇷⋰*⋻2260=⋰*⋻4510","layer":3},{"info":"∥⊫⋰*⋻A15=⋰*⋻1634","layer":3},{"info":"⋰*⋻4510⫡⨏⋰*⋻1634=⋰*⋻2405A","layer":2},{"info":"⋰*⋻1A06⇼⇔∾⋰*⋻1261=⋰*⋻-755","layer":3},{"info":"⋰*⋻1528%⋰*⋻9A0=⋰*⋻638","layer":3},{"info":"⋰*⋻-755∑⇟⊟⋰*⋻638=NaN","layer":2},{"info":"⋰*⋻2405A≧⫂∧NaN=NaN","layer":1},{"info":"NaN/NaN=NaN","layer":0}]}
{"id":534,"expression_no_base_symbol":"(⊥($3642$⨳⩥⨓$3117$)⊴($7142$∼$1083$))⨰(((⪝⪂⫅$3154$)⋫)≦≮≮)","expression":"(⊥(⋰*⋻2811⨳⩥⨓⋰*⋻2384)⊴(⋰*⋻5403∼⋰*⋻8A5))⨰(((⪝⪂⫅⋰*⋻2408)⋫)≦≮≮)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":463950,"operation_count":8,"complexity_ratio":57993.75,"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":3642,"base":11},"right_expr":{"type":"numeric_atoms","value":3117,"base":11}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":7142,"base":11},"right_expr":{"type":"numeric_atoms","value":1083,"base":11}}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":3154,"base":11}}}}},"used_operators":["eewbuw0ToL","Q3PJZHRvZv","Nsiff2A1zJ","nCS4ZIUYfx","DyGG3AbaNP","D4vGDi5EA2","JL8yIekQnl","XTarYq4gQB"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","9HNa5Wba9A","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3642","layer":4},{"info":"number node, value=3117","layer":4},{"info":"compute binary expreesion, left_input=3642, right_input=3117, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-525","layer":3},{"info":"number node, value=7142","layer":4},{"info":"number node, value=1083","layer":4},{"info":"compute binary expreesion, left_input=7142, right_input=1083, 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=-525, 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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"number node, value=3154","layer":4},{"info":"compute unary expreesion, input=3154, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-463638","layer":3},{"info":"compute unary expreesion, input=-463638, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=-463638","layer":2},{"info":"compute unary expreesion, input=-463638, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=1390914","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1390914, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⊥(⋰*⋻2811⨳⩥⨓⋰*⋻2384)⊴(⋰*⋻5403∼⋰*⋻8A5))⨰(((⪝⪂⫅⋰*⋻2408)⋫)≦≮≮)=NaN","reverse_text":"NaN=(⊥(⋰*⋻2811⨳⩥⨓⋰*⋻2384)⊴(⋰*⋻5403∼⋰*⋻8A5))⨰(((⪝⪂⫅⋰*⋻2408)⋫)≦≮≮)","cot":[{"info":"⋰*⋻2811⨳⩥⨓⋰*⋻2384=⋰*⋻-438","layer":3},{"info":"⋰*⋻5403∼⋰*⋻8A5=NaN","layer":3},{"info":"⋰*⋻-438⊴NaN=NaN","layer":2},{"info":"⊥NaN=NaN","layer":1},{"info":"⪝⪂⫅⋰*⋻2408=⋰*⋻-29737A","layer":3},{"info":"⋰*⋻-29737A⋫=⋰*⋻-29737A","layer":2},{"info":"⋰*⋻-29737A≦≮≮=⋰*⋻870018","layer":1},{"info":"NaN⨰⋰*⋻870018=NaN","layer":0}]}
{"id":535,"expression_no_base_symbol":"($4856$⋷$3386$)⨓($3157$+⇶⊼$1122$)∑⇟⊟(≉$6481$⇷$1272$)⨰($1877$⪮%⊝$5967$∼($7102$⨳⩥⨓$1721$)*(⨈⫕$4062$)⨰($1460$⫥∨⫟$9514$))","expression":"(⋰*⋻3715⋷⋰*⋻25A9)⨓(⋰*⋻2410+⇶⊼⋰*⋻930)∑⇟⊟(≉⋰*⋻4962⇷⋰*⋻A57)⨰(⋰*⋻1457⪮%⊝⋰*⋻4535∼(⋰*⋻5377⨳⩥⨓⋰*⋻1325)*(⨈⫕⋰*⋻3063)⨰(⋰*⋻1108⫥∨⫟⋰*⋻716A))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":91400,"operation_count":14,"complexity_ratio":6528.571428571428,"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":4856,"base":11},"right_expr":{"type":"numeric_atoms","value":3386,"base":11}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3157,"base":11},"right_expr":{"type":"numeric_atoms","value":1122,"base":11}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":6481,"base":11},"right_expr":{"type":"numeric_atoms","value":1272,"base":11}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1877,"base":11},"right_expr":{"type":"numeric_atoms","value":5967,"base":11}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":7102,"base":11},"right_expr":{"type":"numeric_atoms","value":1721,"base":11}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":4062,"base":11}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1460,"base":11},"right_expr":{"type":"numeric_atoms","value":9514,"base":11}}}}},"used_operators":["eewbuw0ToL","U7g4x0WXJJ","3ViojmjbAp","23Mk6UjR3U","TpPTUOHfaN","e1ybzncUwg","mp7IySMOzn","9HNa5Wba9A","DyGG3AbaNP","IWmyXbctLI","nCS4ZIUYfx","megm06wKyl","KYD54nUTWz"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4856","layer":4},{"info":"number node, value=3386","layer":4},{"info":"compute binary expreesion, left_input=4856, right_input=3386, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1916","layer":3},{"info":"number node, value=3157","layer":4},{"info":"number node, value=1122","layer":4},{"info":"compute binary expreesion, left_input=3157, right_input=1122, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=1916, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"number node, value=6481","layer":4},{"info":"number node, value=1272","layer":4},{"info":"compute binary expreesion, left_input=6481, right_input=1272, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2544","layer":3},{"info":"compute unary expreesion, input=2544, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3075","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3075, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=1877","layer":4},{"info":"number node, value=5967","layer":4},{"info":"compute binary expreesion, left_input=1877, right_input=5967, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4070","layer":3},{"info":"number node, value=7102","layer":4},{"info":"number node, value=1721","layer":4},{"info":"compute binary expreesion, left_input=7102, right_input=1721, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-5381","layer":3},{"info":"compute binary expreesion, left_input=4070, right_input=-5381, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"number node, value=4062","layer":4},{"info":"compute unary expreesion, input=4062, op_id = 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=1460","layer":4},{"info":"number node, value=9514","layer":4},{"info":"compute binary expreesion, left_input=1460, right_input=9514, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻3715⋷⋰*⋻25A9)⨓(⋰*⋻2410+⇶⊼⋰*⋻930)∑⇟⊟(≉⋰*⋻4962⇷⋰*⋻A57)⨰(⋰*⋻1457⪮%⊝⋰*⋻4535∼(⋰*⋻5377⨳⩥⨓⋰*⋻1325)*(⨈⫕⋰*⋻3063)⨰(⋰*⋻1108⫥∨⫟⋰*⋻716A))=NaN","reverse_text":"NaN=(⋰*⋻3715⋷⋰*⋻25A9)⨓(⋰*⋻2410+⇶⊼⋰*⋻930)∑⇟⊟(≉⋰*⋻4962⇷⋰*⋻A57)⨰(⋰*⋻1457⪮%⊝⋰*⋻4535∼(⋰*⋻5377⨳⩥⨓⋰*⋻1325)*(⨈⫕⋰*⋻3063)⨰(⋰*⋻1108⫥∨⫟⋰*⋻716A))","cot":[{"info":"⋰*⋻3715⋷⋰*⋻25A9=⋰*⋻1492","layer":3},{"info":"⋰*⋻2410+⇶⊼⋰*⋻930=NaN","layer":3},{"info":"⋰*⋻1492⨓NaN=NaN","layer":2},{"info":"⋰*⋻4962⇷⋰*⋻A57=⋰*⋻1A03","layer":3},{"info":"≉⋰*⋻1A03=⋰*⋻2346","layer":2},{"info":"NaN∑⇟⊟⋰*⋻2346=NaN","layer":1},{"info":"⋰*⋻1457⪮%⊝⋰*⋻4535=⋰*⋻3070","layer":3},{"info":"⋰*⋻5377⨳⩥⨓⋰*⋻1325=⋰*⋻-4052","layer":3},{"info":"⋰*⋻3070∼⋰*⋻-4052=NaN","layer":2},{"info":"⨈⫕⋰*⋻3063=⋰*⋻-1A","layer":3},{"info":"⋰*⋻1108⫥∨⫟⋰*⋻716A=NaN","layer":3},{"info":"⋰*⋻-1A⨰NaN=NaN","layer":2},{"info":"NaN*NaN=NaN","layer":1},{"info":"NaN⨰NaN=NaN","layer":0}]}
{"id":536,"expression_no_base_symbol":"⨰⫟⨤(((⨑⩽⪐$2262$)%$6897$⇷$6910$)⊭∹↮)","expression":"⨰⫟⨤(((⨑⩽⪐⋰*⋻1777)%⋰*⋻5200⇷⋰*⋻5212)⊭∹↮)","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":190383,"operation_count":5,"complexity_ratio":38076.6,"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":2262,"base":11}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":6897,"base":11},"right_expr":{"type":"numeric_atoms","value":6910,"base":11}}}}},"used_operators":["Tw270M8GLb","xNBdhnnwKq","k8jYdgA6NY","AF7qkfDlqP","mp7IySMOzn"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2262","layer":4},{"info":"compute unary expreesion, input=2262, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1989","layer":3},{"info":"number node, value=6897","layer":4},{"info":"number node, value=6910","layer":4},{"info":"compute binary expreesion, left_input=6897, right_input=6910, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=13820","layer":3},{"info":"compute binary expreesion, left_input=-1989, right_input=13820, op_id = k8jYdgA6NY binary_op_definition= 'None', output=11831","layer":2},{"info":"compute unary expreesion, input=11831, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=23662","layer":1},{"info":"compute unary expreesion, input=23662, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⨰⫟⨤(((⨑⩽⪐⋰*⋻1777)%⋰*⋻5200⇷⋰*⋻5212)⊭∹↮)=NaN","reverse_text":"NaN=⨰⫟⨤(((⨑⩽⪐⋰*⋻1777)%⋰*⋻5200⇷⋰*⋻5212)⊭∹↮)","cot":[{"info":"⨑⩽⪐⋰*⋻1777=⋰*⋻-1549","layer":3},{"info":"⋰*⋻5200⇷⋰*⋻5212=⋰*⋻A424","layer":3},{"info":"⋰*⋻-1549%⋰*⋻A424=⋰*⋻8986","layer":2},{"info":"⋰*⋻8986⊭∹↮=⋰*⋻16861","layer":1},{"info":"⨰⫟⨤⋰*⋻16861=NaN","layer":0}]}
{"id":537,"expression_no_base_symbol":"≦∁((⨞⊢$5239$)⪘⫢($2771$⨎$2406$))⪮%⊝(+⊝⨔($1543$⋥≓≎$3831$))","expression":"≦∁((⨞⊢⋰*⋻3A33)⪘⫢(⋰*⋻209A⨎⋰*⋻1898))⪮%⊝(+⊝⨔(⋰*⋻1183⋥≓≎⋰*⋻2973))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":66,"operation_count":7,"complexity_ratio":9.428571428571429,"tree":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":5239,"base":11}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2771,"base":11},"right_expr":{"type":"numeric_atoms","value":2406,"base":11}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1543,"base":11},"right_expr":{"type":"numeric_atoms","value":3831,"base":11}}}}},"used_operators":["9ICcGScMcE","IWmyXbctLI","oacrs7FA3X","xUOZtlo3hN","rJVOvQCfKK","DhbWaqg5eL","Qy55tPpLXF"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⋰*⋻266","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5239","layer":4},{"info":"compute unary expreesion, input=5239, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-5413","layer":3},{"info":"number node, value=2771","layer":4},{"info":"number node, value=2406","layer":4},{"info":"compute binary expreesion, left_input=2771, right_input=2406, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2406","layer":3},{"info":"compute binary expreesion, left_input=-5413, right_input=2406, 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=1543","layer":4},{"info":"number node, value=3831","layer":4},{"info":"compute binary expreesion, left_input=1543, right_input=3831, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=6152","layer":3},{"info":"compute unary expreesion, input=6152, 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 = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=314","layer":1},{"info":"compute unary expreesion, input=314, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=314","layer":0}],"base":11,"result_base":11,"text":"≦∁((⨞⊢⋰*⋻3A33)⪘⫢(⋰*⋻209A⨎⋰*⋻1898))⪮%⊝(+⊝⨔(⋰*⋻1183⋥≓≎⋰*⋻2973))=⋰*⋻266","reverse_text":"⋰*⋻266=≦∁((⨞⊢⋰*⋻3A33)⪘⫢(⋰*⋻209A⨎⋰*⋻1898))⪮%⊝(+⊝⨔(⋰*⋻1183⋥≓≎⋰*⋻2973))","cot":[{"info":"⨞⊢⋰*⋻3A33=⋰*⋻-4081","layer":3},{"info":"⋰*⋻209A⨎⋰*⋻1898=⋰*⋻1898","layer":3},{"info":"⋰*⋻-4081⪘⫢⋰*⋻1898=⋰*⋻-1","layer":2},{"info":"⋰*⋻1183⋥≓≎⋰*⋻2973=⋰*⋻4693","layer":3},{"info":"+⊝⨔⋰*⋻4693=⋰*⋻1164","layer":2},{"info":"⋰*⋻-1⪮%⊝⋰*⋻1164=⋰*⋻266","layer":1},{"info":"≦∁⋰*⋻266=⋰*⋻266","layer":0}]}
{"id":538,"expression_no_base_symbol":"(↽≂$1208$⨐⩸⫘$1821$)⋓($5127$⨎$1560$)⨟⋌⩍($2437$⊉≛↸$2025$)↺($1360$⇷$2102$∲⫓$1041$≭$3786$)⋝⋈⪟(⊥($2351$≦≮≮))","expression":"(↽≂⋰*⋻9A9⨐⩸⫘⋰*⋻1406)⋓(⋰*⋻3941⨎⋰*⋻1199)⨟⋌⩍(⋰*⋻1916⊉≛↸⋰*⋻1581)↺(⋰*⋻1027⇷⋰*⋻1641∲⫓⋰*⋻867≭⋰*⋻2932)⋝⋈⪟(⊥(⋰*⋻1848≦≮≮))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":19079,"operation_count":13,"complexity_ratio":1467.6153846153845,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1208,"base":11},"right_expr":{"type":"numeric_atoms","value":1821,"base":11}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5127,"base":11},"right_expr":{"type":"numeric_atoms","value":1560,"base":11}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2437,"base":11},"right_expr":{"type":"numeric_atoms","value":2025,"base":11}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1360,"base":11},"right_expr":{"type":"numeric_atoms","value":2102,"base":11}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1041,"base":11},"right_expr":{"type":"numeric_atoms","value":3786,"base":11}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":2351,"base":11}}}}},"used_operators":["7j4O788W3g","T2fj7uvVaJ","u6S6b8DprG","fu6greOZ01","rGHVDoGpnC","rJVOvQCfKK","DZ8iAZOCBD","2DDjHMKMc0","i8ToyICDmI","mp7IySMOzn","rxpJgHHUmx","Q3PJZHRvZv","D4vGDi5EA2"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","Tcnh7f0tEr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","AHs5Up7iyr","fu6greOZ01","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1208","layer":4},{"info":"number node, value=1821","layer":4},{"info":"compute binary expreesion, left_input=1208, right_input=1821, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=5127","layer":4},{"info":"number node, value=1560","layer":4},{"info":"compute binary expreesion, left_input=5127, right_input=1560, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1560","layer":3},{"info":"number node, value=2437","layer":4},{"info":"number node, value=2025","layer":4},{"info":"compute binary expreesion, left_input=2437, right_input=2025, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4874","layer":3},{"info":"compute binary expreesion, left_input=1560, right_input=4874, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = T2fj7uvVaJ 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=1360","layer":4},{"info":"number node, value=2102","layer":4},{"info":"compute binary expreesion, left_input=1360, right_input=2102, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4204","layer":3},{"info":"number node, value=1041","layer":4},{"info":"number node, value=3786","layer":4},{"info":"compute binary expreesion, left_input=1041, right_input=3786, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=4204, 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=2351","layer":4},{"info":"compute unary expreesion, input=2351, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-7053","layer":3},{"info":"compute unary expreesion, input=-7053, 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 = 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 = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(↽≂⋰*⋻9A9⨐⩸⫘⋰*⋻1406)⋓(⋰*⋻3941⨎⋰*⋻1199)⨟⋌⩍(⋰*⋻1916⊉≛↸⋰*⋻1581)↺(⋰*⋻1027⇷⋰*⋻1641∲⫓⋰*⋻867≭⋰*⋻2932)⋝⋈⪟(⊥(⋰*⋻1848≦≮≮))=NaN","reverse_text":"NaN=(↽≂⋰*⋻9A9⨐⩸⫘⋰*⋻1406)⋓(⋰*⋻3941⨎⋰*⋻1199)⨟⋌⩍(⋰*⋻1916⊉≛↸⋰*⋻1581)↺(⋰*⋻1027⇷⋰*⋻1641∲⫓⋰*⋻867≭⋰*⋻2932)⋝⋈⪟(⊥(⋰*⋻1848≦≮≮))","cot":[{"info":"⋰*⋻9A9⨐⩸⫘⋰*⋻1406=NaN","layer":3},{"info":"↽≂NaN=NaN","layer":2},{"info":"⋰*⋻3941⨎⋰*⋻1199=⋰*⋻1199","layer":3},{"info":"⋰*⋻1916⊉≛↸⋰*⋻1581=⋰*⋻3731","layer":3},{"info":"⋰*⋻1199⨟⋌⩍⋰*⋻3731=NaN","layer":2},{"info":"NaN⋓NaN=NaN","layer":1},{"info":"⋰*⋻1027⇷⋰*⋻1641=⋰*⋻3182","layer":3},{"info":"⋰*⋻867≭⋰*⋻2932=NaN","layer":3},{"info":"⋰*⋻3182∲⫓NaN=NaN","layer":2},{"info":"⋰*⋻1848≦≮≮=⋰*⋻-5332","layer":3},{"info":"⊥⋰*⋻-5332=NaN","layer":2},{"info":"NaN⋝⋈⪟NaN=NaN","layer":1},{"info":"NaN↺NaN=NaN","layer":0}]}
{"id":539,"expression_no_base_symbol":"((↯⪼($7721$⨰$2814$))⫡⨏($5402$⨪↰⇹$4787$)⨪↰⇹$4917$↬$4140$)⫌⩹⨱","expression":"((↯⪼(⋰*⋻588A⨰⋰*⋻2129))⫡⨏(⋰*⋻4071⨪↰⇹⋰*⋻3662)⨪↰⇹⋰*⋻3770↬⋰*⋻3124)⫌⩹⨱","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":10856,"operation_count":7,"complexity_ratio":1550.857142857143,"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":7721,"base":11},"right_expr":{"type":"numeric_atoms","value":2814,"base":11}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":5402,"base":11},"right_expr":{"type":"numeric_atoms","value":4787,"base":11}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4917,"base":11},"right_expr":{"type":"numeric_atoms","value":4140,"base":11}}}}},"used_operators":["EBcxylXtPf","QMFrweE19q","8jW3W4yZS5","eewbuw0ToL","tmPS8pqC7x","B5M0gjZbta"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","rGHVDoGpnC"],"result":"⋰*⋻17340","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7721","layer":4},{"info":"number node, value=2814","layer":4},{"info":"compute binary expreesion, left_input=7721, right_input=2814, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=4917","layer":3},{"info":"compute unary expreesion, input=4917, 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=5402","layer":4},{"info":"number node, value=4787","layer":4},{"info":"compute binary expreesion, left_input=5402, right_input=4787, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=5402","layer":3},{"info":"number node, value=4917","layer":4},{"info":"number node, value=4140","layer":4},{"info":"compute binary expreesion, left_input=4917, right_input=4140, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=5402, 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=5402","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=5402, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=11482","layer":1},{"info":"compute unary expreesion, input=11482, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=24365","layer":0}],"base":11,"result_base":11,"text":"((↯⪼(⋰*⋻588A⨰⋰*⋻2129))⫡⨏(⋰*⋻4071⨪↰⇹⋰*⋻3662)⨪↰⇹⋰*⋻3770↬⋰*⋻3124)⫌⩹⨱=⋰*⋻17340","reverse_text":"⋰*⋻17340=((↯⪼(⋰*⋻588A⨰⋰*⋻2129))⫡⨏(⋰*⋻4071⨪↰⇹⋰*⋻3662)⨪↰⇹⋰*⋻3770↬⋰*⋻3124)⫌⩹⨱","cot":[{"info":"⋰*⋻588A⨰⋰*⋻2129=⋰*⋻3770","layer":3},{"info":"↯⪼⋰*⋻3770=⋰*⋻-1A","layer":2},{"info":"⋰*⋻4071⨪↰⇹⋰*⋻3662=⋰*⋻4071","layer":3},{"info":"⋰*⋻3770↬⋰*⋻3124=NaN","layer":3},{"info":"⋰*⋻4071⨪↰⇹NaN=⋰*⋻4071","layer":2},{"info":"⋰*⋻-1A⫡⨏⋰*⋻4071=⋰*⋻8699","layer":1},{"info":"⋰*⋻8699⫌⩹⨱=⋰*⋻17340","layer":0}]}
{"id":540,"expression_no_base_symbol":"(($2294$⫡⨏$6881$)+⇶⊼($1969$⨵⪆$1156$))∼((⪝⪂⫅$5132$)⨽$4642$⨓$1563$)⨽($2299$↺$1104$⋷(+⊝⨔$1164$))⇷(+⊝⨔$1864$)∼($3663$⨓$5452$)","expression":"((⋰*⋻17A6⫡⨏⋰*⋻5196)+⇶⊼(⋰*⋻1530⨵⪆⋰*⋻961))∼((⪝⪂⫅⋰*⋻3946)⨽⋰*⋻3540⨓⋰*⋻11A1)⨽(⋰*⋻1800↺⋰*⋻914⋷(+⊝⨔⋰*⋻969))⇷(+⊝⨔⋰*⋻1445)∼(⋰*⋻2830⨓⋰*⋻4107)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":788894,"operation_count":15,"complexity_ratio":52592.933333333334,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2294,"base":11},"right_expr":{"type":"numeric_atoms","value":6881,"base":11}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1969,"base":11},"right_expr":{"type":"numeric_atoms","value":1156,"base":11}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":5132,"base":11}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":4642,"base":11},"right_expr":{"type":"numeric_atoms","value":1563,"base":11}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2299,"base":11},"right_expr":{"type":"numeric_atoms","value":1104,"base":11}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1164,"base":11}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1864,"base":11}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3663,"base":11},"right_expr":{"type":"numeric_atoms","value":5452,"base":11}}}}},"used_operators":["8HhzD0ZcuI","DyGG3AbaNP","TpPTUOHfaN","QMFrweE19q","2DQ55sFlQl","XTarYq4gQB","3ViojmjbAp","mp7IySMOzn","23Mk6UjR3U","7j4O788W3g","DhbWaqg5eL"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2294","layer":4},{"info":"number node, value=6881","layer":4},{"info":"compute binary expreesion, left_input=2294, right_input=6881, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=26015","layer":3},{"info":"number node, value=1969","layer":4},{"info":"number node, value=1156","layer":4},{"info":"compute binary expreesion, left_input=1969, right_input=1156, 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=26015, right_input=160, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=5132","layer":4},{"info":"compute unary expreesion, input=5132, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-754404","layer":3},{"info":"number node, value=4642","layer":4},{"info":"number node, value=1563","layer":4},{"info":"compute binary expreesion, left_input=4642, right_input=1563, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1566","layer":3},{"info":"compute binary expreesion, left_input=-754404, right_input=-1566, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-inf, 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=2299","layer":4},{"info":"number node, value=1104","layer":4},{"info":"compute binary expreesion, left_input=2299, 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":3},{"info":"number node, value=1164","layer":4},{"info":"compute unary expreesion, input=1164, 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=1104, right_input=1522, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1940","layer":2},{"info":"number node, value=1864","layer":4},{"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":3},{"info":"number node, value=3663","layer":4},{"info":"number node, value=5452","layer":4},{"info":"compute binary expreesion, left_input=3663, right_input=5452, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5455","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=-5455, 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=1940, 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 = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻17A6⫡⨏⋰*⋻5196)+⇶⊼(⋰*⋻1530⨵⪆⋰*⋻961))∼((⪝⪂⫅⋰*⋻3946)⨽⋰*⋻3540⨓⋰*⋻11A1)⨽(⋰*⋻1800↺⋰*⋻914⋷(+⊝⨔⋰*⋻969))⇷(+⊝⨔⋰*⋻1445)∼(⋰*⋻2830⨓⋰*⋻4107)=NaN","reverse_text":"NaN=((⋰*⋻17A6⫡⨏⋰*⋻5196)+⇶⊼(⋰*⋻1530⨵⪆⋰*⋻961))∼((⪝⪂⫅⋰*⋻3946)⨽⋰*⋻3540⨓⋰*⋻11A1)⨽(⋰*⋻1800↺⋰*⋻914⋷(+⊝⨔⋰*⋻969))⇷(+⊝⨔⋰*⋻1445)∼(⋰*⋻2830⨓⋰*⋻4107)","cot":[{"info":"⋰*⋻17A6⫡⨏⋰*⋻5196=⋰*⋻18600","layer":3},{"info":"⋰*⋻1530⨵⪆⋰*⋻961=⋰*⋻136","layer":3},{"info":"⋰*⋻18600+⇶⊼⋰*⋻136=NaN","layer":2},{"info":"⪝⪂⫅⋰*⋻3946=⋰*⋻-475882","layer":3},{"info":"⋰*⋻3540⨓⋰*⋻11A1=⋰*⋻-11A4","layer":3},{"info":"⋰*⋻-475882⨽⋰*⋻-11A4=-Inf","layer":2},{"info":"NaN∼-Inf=NaN","layer":1},{"info":"⋰*⋻1800↺⋰*⋻914=⋰*⋻914","layer":3},{"info":"+⊝⨔⋰*⋻969=⋰*⋻1164","layer":3},{"info":"⋰*⋻914⋷⋰*⋻1164=⋰*⋻1504","layer":2},{"info":"+⊝⨔⋰*⋻1445=⋰*⋻1164","layer":3},{"info":"⋰*⋻2830⨓⋰*⋻4107=⋰*⋻-410A","layer":3},{"info":"⋰*⋻1164∼⋰*⋻-410A=NaN","layer":2},{"info":"⋰*⋻1504⇷NaN=NaN","layer":1},{"info":"NaN⨽NaN=NaN","layer":0}]}
{"id":541,"expression_no_base_symbol":"((⨵≀≌$2371$⩚⊴⇥$1851$)⨽(⋗⩬⋾$1000$)⩷∴($2764$≭$4401$))⊦⊿","expression":"((⨵≀≌⋰*⋻1866⩚⊴⇥⋰*⋻1433)⨽(⋗⩬⋾⋰*⋻82A)⩷∴(⋰*⋻2093≭⋰*⋻3341))⊦⊿","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":18866025,"operation_count":7,"complexity_ratio":2695146.4285714286,"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":2371,"base":11},"right_expr":{"type":"numeric_atoms","value":1851,"base":11}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1000,"base":11}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2764,"base":11},"right_expr":{"type":"numeric_atoms","value":4401,"base":11}}}}},"used_operators":["14qkJME0vr","8HhzD0ZcuI","srAu1WTS94","NTOWxs364D","9FxExcQeMw","DpFCA1CohY","rxpJgHHUmx"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2371","layer":4},{"info":"number node, value=1851","layer":4},{"info":"compute binary expreesion, left_input=2371, right_input=1851, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4343","layer":3},{"info":"compute unary expreesion, input=-4343, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=18861649","layer":2},{"info":"number node, value=1000","layer":4},{"info":"compute unary expreesion, input=1000, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3000","layer":3},{"info":"number node, value=2764","layer":4},{"info":"number node, value=4401","layer":4},{"info":"compute binary expreesion, left_input=2764, right_input=4401, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=-3000, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=18861649, 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 = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⨵≀≌⋰*⋻1866⩚⊴⇥⋰*⋻1433)⨽(⋗⩬⋾⋰*⋻82A)⩷∴(⋰*⋻2093≭⋰*⋻3341))⊦⊿=NaN","reverse_text":"NaN=((⨵≀≌⋰*⋻1866⩚⊴⇥⋰*⋻1433)⨽(⋗⩬⋾⋰*⋻82A)⩷∴(⋰*⋻2093≭⋰*⋻3341))⊦⊿","cot":[{"info":"⋰*⋻1866⩚⊴⇥⋰*⋻1433=⋰*⋻-3299","layer":3},{"info":"⨵≀≌⋰*⋻-3299=⋰*⋻A713044","layer":2},{"info":"⋗⩬⋾⋰*⋻82A=⋰*⋻-2288","layer":3},{"info":"⋰*⋻2093≭⋰*⋻3341=NaN","layer":3},{"info":"⋰*⋻-2288⩷∴NaN=NaN","layer":2},{"info":"⋰*⋻A713044⨽NaN=NaN","layer":1},{"info":"NaN⊦⊿=NaN","layer":0}]}
{"id":542,"expression_no_base_symbol":"($4306$⨰$1046$⪒$2947$∀⇚≩$5269$)*($2179$⋓$1183$⋷$1358$⋳⪒$2996$)+(⨞⊢($1894$⪨≂$4477$)⨎$3096$⋝⋈⪟$1994$)","expression":"(⋰*⋻3265⨰⋰*⋻871⪒⋰*⋻223A∀⇚≩⋰*⋻3A60)*(⋰*⋻1701⋓⋰*⋻986⋷⋰*⋻1025⋳⪒⋰*⋻2284)+(⨞⊢(⋰*⋻1472⪨≂⋰*⋻3400)⨎⋰*⋻2365⋝⋈⪟⋰*⋻1553)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":20673,"operation_count":12,"complexity_ratio":1722.75,"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":4306,"base":11},"right_expr":{"type":"numeric_atoms","value":1046,"base":11}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2947,"base":11},"right_expr":{"type":"numeric_atoms","value":5269,"base":11}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2179,"base":11},"right_expr":{"type":"numeric_atoms","value":1183,"base":11}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1358,"base":11},"right_expr":{"type":"numeric_atoms","value":2996,"base":11}}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1894,"base":11},"right_expr":{"type":"numeric_atoms","value":4477,"base":11}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3096,"base":11},"right_expr":{"type":"numeric_atoms","value":1994,"base":11}}}}},"used_operators":["W4YGzv6Whe","9HNa5Wba9A","f6k1SAg4EE","eewbuw0ToL","LRNGc0VcxI","23Mk6UjR3U","T2fj7uvVaJ","12rbrZMWeM","xUOZtlo3hN","rJVOvQCfKK","sdazOOVcIp","2DDjHMKMc0"],"dependent_operators":["W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4306","layer":4},{"info":"number node, value=1046","layer":4},{"info":"compute binary expreesion, left_input=4306, right_input=1046, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=3270","layer":3},{"info":"number node, value=2947","layer":4},{"info":"number node, value=5269","layer":4},{"info":"compute binary expreesion, left_input=2947, right_input=5269, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=3270, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=2179","layer":4},{"info":"number node, value=1183","layer":4},{"info":"compute binary expreesion, left_input=2179, right_input=1183, op_id = T2fj7uvVaJ binary_op_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=1358","layer":4},{"info":"number node, value=2996","layer":4},{"info":"compute binary expreesion, left_input=1358, right_input=2996, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-567","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-567, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1894","layer":4},{"info":"number node, value=4477","layer":4},{"info":"compute binary expreesion, left_input=1894, right_input=4477, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-5064","layer":3},{"info":"number node, value=3096","layer":4},{"info":"number node, value=1994","layer":4},{"info":"compute binary expreesion, left_input=3096, right_input=1994, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3096","layer":3},{"info":"compute binary expreesion, left_input=-5064, right_input=3096, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3096","layer":2},{"info":"compute unary expreesion, input=3096, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-3270","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-3270, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻3265⨰⋰*⋻871⪒⋰*⋻223A∀⇚≩⋰*⋻3A60)*(⋰*⋻1701⋓⋰*⋻986⋷⋰*⋻1025⋳⪒⋰*⋻2284)+(⨞⊢(⋰*⋻1472⪨≂⋰*⋻3400)⨎⋰*⋻2365⋝⋈⪟⋰*⋻1553)=NaN","reverse_text":"NaN=(⋰*⋻3265⨰⋰*⋻871⪒⋰*⋻223A∀⇚≩⋰*⋻3A60)*(⋰*⋻1701⋓⋰*⋻986⋷⋰*⋻1025⋳⪒⋰*⋻2284)+(⨞⊢(⋰*⋻1472⪨≂⋰*⋻3400)⨎⋰*⋻2365⋝⋈⪟⋰*⋻1553)","cot":[{"info":"⋰*⋻3265⨰⋰*⋻871=⋰*⋻2503","layer":3},{"info":"⋰*⋻223A∀⇚≩⋰*⋻3A60=NaN","layer":3},{"info":"⋰*⋻2503⪒NaN=NaN","layer":2},{"info":"⋰*⋻1701⋓⋰*⋻986=⋰*⋻0","layer":3},{"info":"⋰*⋻1025⋳⪒⋰*⋻2284=⋰*⋻-476","layer":3},{"info":"⋰*⋻0⋷⋰*⋻-476=⋰*⋻0","layer":2},{"info":"NaN*⋰*⋻0=NaN","layer":1},{"info":"⋰*⋻1472⪨≂⋰*⋻3400=⋰*⋻-3894","layer":3},{"info":"⋰*⋻2365⋝⋈⪟⋰*⋻1553=⋰*⋻2365","layer":3},{"info":"⋰*⋻-3894⨎⋰*⋻2365=⋰*⋻2365","layer":2},{"info":"⨞⊢⋰*⋻2365=⋰*⋻-2503","layer":1},{"info":"NaN+⋰*⋻-2503=NaN","layer":0}]}
{"id":543,"expression_no_base_symbol":"((↥$7480$)⫸⊐$9743$⪄$2196$/(↩$5267$)≹⇙⪍($2925$⇷$4218$))⪛(($1285$⨎$1489$-$1559$⇼⇔∾$1559$)≫≃)","expression":"((↥⋰*⋻5690)⫸⊐⋰*⋻7358⪄⋰*⋻1717/(↩⋰*⋻3A59)≹⇙⪍(⋰*⋻221A⇷⋰*⋻3195))⪛((⋰*⋻A69⨎⋰*⋻1134-⋰*⋻1198⇼⇔∾⋰*⋻1198)≫≃)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":41234,"operation_count":12,"complexity_ratio":3436.1666666666665,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":7480,"base":11}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":9743,"base":11},"right_expr":{"type":"numeric_atoms","value":2196,"base":11}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":5267,"base":11}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2925,"base":11},"right_expr":{"type":"numeric_atoms","value":4218,"base":11}}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1285,"base":11},"right_expr":{"type":"numeric_atoms","value":1489,"base":11}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1559,"base":11},"right_expr":{"type":"numeric_atoms","value":1559,"base":11}}}}},"used_operators":["uFcxV4UQCh","XhwjNDsVaA","mqXw5SEYmG","A8NUZmVepG","SUmda5xLS4","AHs5Up7iyr","jLgFTUHLKL","mp7IySMOzn","X99M06cbEe","rysDP5nf3Z","rJVOvQCfKK","tifHPKVTfV"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","k8jYdgA6NY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","dWAJyo7jo9","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7480","layer":4},{"info":"compute unary expreesion, input=7480, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=34","layer":3},{"info":"number node, value=9743","layer":4},{"info":"number node, value=2196","layer":4},{"info":"compute binary expreesion, left_input=9743, right_input=2196, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1446837","layer":3},{"info":"compute binary expreesion, left_input=34, right_input=-1446837, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=68","layer":2},{"info":"number node, value=5267","layer":4},{"info":"compute unary expreesion, input=5267, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-39356","layer":3},{"info":"number node, value=2925","layer":4},{"info":"number node, value=4218","layer":4},{"info":"compute binary expreesion, left_input=2925, right_input=4218, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=8436","layer":3},{"info":"compute binary expreesion, left_input=-39356, right_input=8436, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=68, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1285","layer":4},{"info":"number node, value=1489","layer":4},{"info":"compute binary expreesion, left_input=1285, right_input=1489, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1489","layer":3},{"info":"number node, value=1559","layer":4},{"info":"number node, value=1559","layer":4},{"info":"compute binary expreesion, left_input=1559, right_input=1559, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1489, right_input=0, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1489","layer":2},{"info":"compute unary expreesion, input=1489, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=4379","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4379, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((↥⋰*⋻5690)⫸⊐⋰*⋻7358⪄⋰*⋻1717/(↩⋰*⋻3A59)≹⇙⪍(⋰*⋻221A⇷⋰*⋻3195))⪛((⋰*⋻A69⨎⋰*⋻1134-⋰*⋻1198⇼⇔∾⋰*⋻1198)≫≃)=NaN","reverse_text":"NaN=((↥⋰*⋻5690)⫸⊐⋰*⋻7358⪄⋰*⋻1717/(↩⋰*⋻3A59)≹⇙⪍(⋰*⋻221A⇷⋰*⋻3195))⪛((⋰*⋻A69⨎⋰*⋻1134-⋰*⋻1198⇼⇔∾⋰*⋻1198)≫≃)","cot":[{"info":"↥⋰*⋻5690=⋰*⋻31","layer":3},{"info":"⋰*⋻7358⪄⋰*⋻1717=⋰*⋻-8A9037","layer":3},{"info":"⋰*⋻31⫸⊐⋰*⋻-8A9037=⋰*⋻62","layer":2},{"info":"↩⋰*⋻3A59=⋰*⋻-27629","layer":3},{"info":"⋰*⋻221A⇷⋰*⋻3195=⋰*⋻637A","layer":3},{"info":"⋰*⋻-27629≹⇙⪍⋰*⋻637A=NaN","layer":2},{"info":"⋰*⋻62/NaN=NaN","layer":1},{"info":"⋰*⋻A69⨎⋰*⋻1134=⋰*⋻1134","layer":3},{"info":"⋰*⋻1198⇼⇔∾⋰*⋻1198=⋰*⋻0","layer":3},{"info":"⋰*⋻1134-⋰*⋻0=⋰*⋻1134","layer":2},{"info":"⋰*⋻1134≫≃=⋰*⋻3321","layer":1},{"info":"NaN⪛⋰*⋻3321=NaN","layer":0}]}
{"id":544,"expression_no_base_symbol":"($1393$⫡⨏$1889$)⨟⋌⩍($2469$⊘)≧⫂∧$5233$∑⇟⊟$2979$∑⇟⊟($7957$⋝⋈⪟$1493$)⊭↱(⩦⩻⨪$1034$⨎$7835$)⪛(($1166$+$5495$)∀⇚≩(⪲⇎$4366$))","expression":"(⋰*⋻1057⫡⨏⋰*⋻1468)⨟⋌⩍(⋰*⋻1945⊘)≧⫂∧⋰*⋻3A28∑⇟⊟⋰*⋻2269∑⇟⊟(⋰*⋻5A84⋝⋈⪟⋰*⋻1138)⊭↱(⩦⩻⨪⋰*⋻860⨎⋰*⋻5983)⪛((⋰*⋻970+⋰*⋻4146)∀⇚≩(⪲⇎⋰*⋻330A))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":46677,"operation_count":14,"complexity_ratio":3334.0714285714284,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1393,"base":11},"right_expr":{"type":"numeric_atoms","value":1889,"base":11}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":2469,"base":11}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":5233,"base":11},"right_expr":{"type":"numeric_atoms","value":2979,"base":11}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":7957,"base":11},"right_expr":{"type":"numeric_atoms","value":1493,"base":11}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1034,"base":11},"right_expr":{"type":"numeric_atoms","value":7835,"base":11}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1166,"base":11},"right_expr":{"type":"numeric_atoms","value":5495,"base":11}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":4366,"base":11}}}}},"used_operators":["COABgblf1C","Ph9nP6C5qx","rGHVDoGpnC","QMFrweE19q","gu96TGCTMs","U7g4x0WXJJ","2DDjHMKMc0","uFcxV4UQCh","2td37pGCOC","rJVOvQCfKK","LRNGc0VcxI","W4YGzv6Whe","XPYlsWDdGa"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=1393","layer":4},{"info":"number node, value=1889","layer":4},{"info":"compute binary expreesion, left_input=1393, right_input=1889, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=11526","layer":3},{"info":"number node, value=2469","layer":4},{"info":"compute unary expreesion, input=2469, 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=11526, 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=11526","layer":2},{"info":"number node, value=5233","layer":4},{"info":"number node, value=2979","layer":4},{"info":"compute binary expreesion, left_input=5233, right_input=2979, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=7957","layer":4},{"info":"number node, value=1493","layer":4},{"info":"compute binary expreesion, left_input=7957, right_input=1493, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=7957","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7957, 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=11526, 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=1034","layer":4},{"info":"number node, value=7835","layer":4},{"info":"compute binary expreesion, left_input=1034, right_input=7835, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=7835","layer":3},{"info":"compute unary expreesion, input=7835, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=7835","layer":2},{"info":"number node, value=1166","layer":4},{"info":"number node, value=5495","layer":4},{"info":"compute binary expreesion, left_input=1166, right_input=5495, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6661","layer":3},{"info":"number node, value=4366","layer":4},{"info":"compute unary expreesion, input=4366, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=8732","layer":3},{"info":"compute binary expreesion, left_input=6661, right_input=8732, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=7835, 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 = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1057⫡⨏⋰*⋻1468)⨟⋌⩍(⋰*⋻1945⊘)≧⫂∧⋰*⋻3A28∑⇟⊟⋰*⋻2269∑⇟⊟(⋰*⋻5A84⋝⋈⪟⋰*⋻1138)⊭↱(⩦⩻⨪⋰*⋻860⨎⋰*⋻5983)⪛((⋰*⋻970+⋰*⋻4146)∀⇚≩(⪲⇎⋰*⋻330A))=NaN","reverse_text":"NaN=(⋰*⋻1057⫡⨏⋰*⋻1468)⨟⋌⩍(⋰*⋻1945⊘)≧⫂∧⋰*⋻3A28∑⇟⊟⋰*⋻2269∑⇟⊟(⋰*⋻5A84⋝⋈⪟⋰*⋻1138)⊭↱(⩦⩻⨪⋰*⋻860⨎⋰*⋻5983)⪛((⋰*⋻970+⋰*⋻4146)∀⇚≩(⪲⇎⋰*⋻330A))","cot":[{"info":"⋰*⋻1057⫡⨏⋰*⋻1468=⋰*⋻8729","layer":3},{"info":"⋰*⋻1945⊘=⋰*⋻0","layer":3},{"info":"⋰*⋻8729⨟⋌⩍⋰*⋻0=⋰*⋻8729","layer":2},{"info":"⋰*⋻3A28∑⇟⊟⋰*⋻2269=NaN","layer":3},{"info":"⋰*⋻5A84⋝⋈⪟⋰*⋻1138=⋰*⋻5A84","layer":3},{"info":"NaN∑⇟⊟⋰*⋻5A84=NaN","layer":2},{"info":"⋰*⋻8729≧⫂∧NaN=NaN","layer":1},{"info":"⋰*⋻860⨎⋰*⋻5983=⋰*⋻5983","layer":3},{"info":"⩦⩻⨪⋰*⋻5983=⋰*⋻5983","layer":2},{"info":"⋰*⋻970+⋰*⋻4146=⋰*⋻5006","layer":3},{"info":"⪲⇎⋰*⋻330A=⋰*⋻6619","layer":3},{"info":"⋰*⋻5006∀⇚≩⋰*⋻6619=NaN","layer":2},{"info":"⋰*⋻5983⪛NaN=NaN","layer":1},{"info":"NaN⊭↱NaN=NaN","layer":0}]}
{"id":545,"expression_no_base_symbol":"((↔($1019$∑⇟⊟$1049$))+(⨵≀≌$5915$⋝⋈⪟$5590$))∼((⫛⫱⨽$2726$)≣⋋)⊴((↥$2503$)⪮%⊝$3166$⨟⋌⩍$4177$)","expression":"((↔(⋰*⋻847∑⇟⊟⋰*⋻874))+(⨵≀≌⋰*⋻4498⋝⋈⪟⋰*⋻4222))∼((⫛⫱⨽⋰*⋻2059)≣⋋)⊴((↥⋰*⋻1976)⪮%⊝⋰*⋻2419⨟⋌⩍⋰*⋻3158)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1874,"operation_count":12,"complexity_ratio":156.16666666666666,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1019,"base":11},"right_expr":{"type":"numeric_atoms","value":1049,"base":11}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":5915,"base":11},"right_expr":{"type":"numeric_atoms","value":5590,"base":11}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2726,"base":11}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2503,"base":11}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3166,"base":11},"right_expr":{"type":"numeric_atoms","value":4177,"base":11}}}}},"used_operators":["DyGG3AbaNP","W4YGzv6Whe","ruOEQAzv1W","U7g4x0WXJJ","srAu1WTS94","2DDjHMKMc0","Nsiff2A1zJ","Tcnh7f0tEr","DlLNRPXxWL","IWmyXbctLI","A8NUZmVepG","rGHVDoGpnC"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rGHVDoGpnC","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","k8jYdgA6NY","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1019","layer":4},{"info":"number node, value=1049","layer":4},{"info":"compute binary expreesion, left_input=1019, right_input=1049, 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":"number node, value=5915","layer":4},{"info":"number node, value=5590","layer":4},{"info":"compute binary expreesion, left_input=5915, right_input=5590, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5915","layer":3},{"info":"compute unary expreesion, input=5915, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-17745","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=-17745, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-17879","layer":1},{"info":"number node, value=2726","layer":4},{"info":"compute unary expreesion, input=2726, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', 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=2503","layer":4},{"info":"compute unary expreesion, input=2503, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=4","layer":3},{"info":"number node, value=3166","layer":4},{"info":"number node, value=4177","layer":4},{"info":"compute binary expreesion, left_input=3166, right_input=4177, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=4, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-17879, 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":11,"result_base":11,"text":"((↔(⋰*⋻847∑⇟⊟⋰*⋻874))+(⨵≀≌⋰*⋻4498⋝⋈⪟⋰*⋻4222))∼((⫛⫱⨽⋰*⋻2059)≣⋋)⊴((↥⋰*⋻1976)⪮%⊝⋰*⋻2419⨟⋌⩍⋰*⋻3158)=NaN","reverse_text":"NaN=((↔(⋰*⋻847∑⇟⊟⋰*⋻874))+(⨵≀≌⋰*⋻4498⋝⋈⪟⋰*⋻4222))∼((⫛⫱⨽⋰*⋻2059)≣⋋)⊴((↥⋰*⋻1976)⪮%⊝⋰*⋻2419⨟⋌⩍⋰*⋻3158)","cot":[{"info":"⋰*⋻847∑⇟⊟⋰*⋻874=NaN","layer":3},{"info":"↔NaN=⋰*⋻-112","layer":2},{"info":"⋰*⋻4498⋝⋈⪟⋰*⋻4222=⋰*⋻4498","layer":3},{"info":"⨵≀≌⋰*⋻4498=⋰*⋻-12372","layer":2},{"info":"⋰*⋻-112+⋰*⋻-12372=⋰*⋻-12484","layer":1},{"info":"⫛⫱⨽⋰*⋻2059=⋰*⋻0","layer":3},{"info":"⋰*⋻0≣⋋=⋰*⋻0","layer":2},{"info":"↥⋰*⋻1976=⋰*⋻4","layer":3},{"info":"⋰*⋻2419⨟⋌⩍⋰*⋻3158=NaN","layer":3},{"info":"⋰*⋻4⪮%⊝NaN=NaN","layer":2},{"info":"⋰*⋻0⊴NaN=NaN","layer":1},{"info":"⋰*⋻-12484∼NaN=NaN","layer":0}]}
{"id":546,"expression_no_base_symbol":"((↥$6576$)⨵⪆(⊥$4556$)⪨≂((↣≠⋷$7784$)+$9111$⊉≛↸$3440$))≋⫹","expression":"((↥⋰*⋻4A39)⨵⪆(⊥⋰*⋻3472)⪨≂((↣≠⋷⋰*⋻5937)+⋰*⋻6933⊉≛↸⋰*⋻2648))≋⫹","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":144,"operation_count":8,"complexity_ratio":18.0,"tree":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":6576,"base":11}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":4556,"base":11}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":7784,"base":11}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":9111,"base":11},"right_expr":{"type":"numeric_atoms","value":3440,"base":11}}}}},"used_operators":["N41Kp7NANJ","sdazOOVcIp","2DQ55sFlQl","A8NUZmVepG","Q3PJZHRvZv","W4YGzv6Whe","Asc51vEJeQ","DZ8iAZOCBD"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","fu6greOZ01","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6576","layer":4},{"info":"compute unary expreesion, input=6576, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=48","layer":3},{"info":"number node, value=4556","layer":4},{"info":"compute unary expreesion, input=4556, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=48, 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=7784","layer":4},{"info":"compute unary expreesion, input=7784, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=9111","layer":4},{"info":"number node, value=3440","layer":4},{"info":"compute binary expreesion, left_input=9111, right_input=3440, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=18222","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=18222, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((↥⋰*⋻4A39)⨵⪆(⊥⋰*⋻3472)⪨≂((↣≠⋷⋰*⋻5937)+⋰*⋻6933⊉≛↸⋰*⋻2648))≋⫹=NaN","reverse_text":"NaN=((↥⋰*⋻4A39)⨵⪆(⊥⋰*⋻3472)⪨≂((↣≠⋷⋰*⋻5937)+⋰*⋻6933⊉≛↸⋰*⋻2648))≋⫹","cot":[{"info":"↥⋰*⋻4A39=⋰*⋻44","layer":3},{"info":"⊥⋰*⋻3472=NaN","layer":3},{"info":"⋰*⋻44⨵⪆NaN=⋰*⋻136","layer":2},{"info":"↣≠⋷⋰*⋻5937=NaN","layer":3},{"info":"⋰*⋻6933⊉≛↸⋰*⋻2648=⋰*⋻12766","layer":3},{"info":"NaN+⋰*⋻12766=NaN","layer":2},{"info":"⋰*⋻136⪨≂NaN=NaN","layer":1},{"info":"NaN≋⫹=NaN","layer":0}]}
{"id":547,"expression_no_base_symbol":"($1807$≎⊠⪸$1756$⫥∨⫟($2883$⫡⨏$2599$))⨓($1463$⋓$3331$⇼⇔∾$1177$⨰$9492$)%(↽≂($4445$/$1698$))⪘⫢((⨑⩽⪐$2813$)%$2320$⋝⋈⪟$2753$)","expression":"(⋰*⋻13A3≎⊠⪸⋰*⋻1357⫥∨⫟(⋰*⋻2191⫡⨏⋰*⋻1A53))⨓(⋰*⋻1110⋓⋰*⋻2559⇼⇔∾⋰*⋻980⨰⋰*⋻714A)%(↽≂(⋰*⋻3381/⋰*⋻1304))⪘⫢((⨑⩽⪐⋰*⋻2128)%⋰*⋻181A⋝⋈⪟⋰*⋻2083)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8801,"operation_count":14,"complexity_ratio":628.6428571428571,"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":1807,"base":11},"right_expr":{"type":"numeric_atoms","value":1756,"base":11}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2883,"base":11},"right_expr":{"type":"numeric_atoms","value":2599,"base":11}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1463,"base":11},"right_expr":{"type":"numeric_atoms","value":3331,"base":11}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1177,"base":11},"right_expr":{"type":"numeric_atoms","value":9492,"base":11}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4445,"base":11},"right_expr":{"type":"numeric_atoms","value":1698,"base":11}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2813,"base":11}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2320,"base":11},"right_expr":{"type":"numeric_atoms","value":2753,"base":11}}}}},"used_operators":["k8jYdgA6NY","3ViojmjbAp","KYD54nUTWz","bJkvcejdHO","QMFrweE19q","tifHPKVTfV","T2fj7uvVaJ","eewbuw0ToL","oacrs7FA3X","u6S6b8DprG","XhwjNDsVaA","AF7qkfDlqP","2DDjHMKMc0"],"dependent_operators":["rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","8HhzD0ZcuI","rGHVDoGpnC","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻-95","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1807","layer":4},{"info":"number node, value=1756","layer":4},{"info":"compute binary expreesion, left_input=1807, right_input=1756, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=467540","layer":3},{"info":"number node, value=2883","layer":4},{"info":"number node, value=2599","layer":4},{"info":"compute binary expreesion, left_input=2883, right_input=2599, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=20396","layer":3},{"info":"compute binary expreesion, left_input=467540, right_input=20396, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1463","layer":4},{"info":"number node, value=3331","layer":4},{"info":"compute binary expreesion, left_input=1463, right_input=3331, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=1177","layer":4},{"info":"number node, value=9492","layer":4},{"info":"compute binary expreesion, left_input=1177, right_input=9492, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-8305","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-8305, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-8305","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-8305, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-8308","layer":1},{"info":"number node, value=4445","layer":4},{"info":"number node, value=1698","layer":4},{"info":"compute binary expreesion, left_input=4445, right_input=1698, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"compute unary expreesion, input=2, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-4","layer":2},{"info":"number node, value=2813","layer":4},{"info":"compute unary expreesion, input=2813, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2540","layer":3},{"info":"number node, value=2320","layer":4},{"info":"number node, value=2753","layer":4},{"info":"compute binary expreesion, left_input=2320, right_input=2753, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2320","layer":3},{"info":"compute binary expreesion, left_input=-2540, right_input=2320, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2100","layer":2},{"info":"compute binary expreesion, left_input=-4, right_input=2100, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1172","layer":1},{"info":"compute binary expreesion, left_input=-8308, right_input=-1172, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-104","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻13A3≎⊠⪸⋰*⋻1357⫥∨⫟(⋰*⋻2191⫡⨏⋰*⋻1A53))⨓(⋰*⋻1110⋓⋰*⋻2559⇼⇔∾⋰*⋻980⨰⋰*⋻714A)%(↽≂(⋰*⋻3381/⋰*⋻1304))⪘⫢((⨑⩽⪐⋰*⋻2128)%⋰*⋻181A⋝⋈⪟⋰*⋻2083)=⋰*⋻-95","reverse_text":"⋰*⋻-95=(⋰*⋻13A3≎⊠⪸⋰*⋻1357⫥∨⫟(⋰*⋻2191⫡⨏⋰*⋻1A53))⨓(⋰*⋻1110⋓⋰*⋻2559⇼⇔∾⋰*⋻980⨰⋰*⋻714A)%(↽≂(⋰*⋻3381/⋰*⋻1304))⪘⫢((⨑⩽⪐⋰*⋻2128)%⋰*⋻181A⋝⋈⪟⋰*⋻2083)","cot":[{"info":"⋰*⋻13A3≎⊠⪸⋰*⋻1357=⋰*⋻29A2A7","layer":3},{"info":"⋰*⋻2191⫡⨏⋰*⋻1A53=⋰*⋻14362","layer":3},{"info":"⋰*⋻29A2A7⫥∨⫟⋰*⋻14362=NaN","layer":2},{"info":"⋰*⋻1110⋓⋰*⋻2559=⋰*⋻0","layer":3},{"info":"⋰*⋻980⨰⋰*⋻714A=⋰*⋻-6270","layer":3},{"info":"⋰*⋻0⇼⇔∾⋰*⋻-6270=⋰*⋻-6270","layer":2},{"info":"NaN⨓⋰*⋻-6270=⋰*⋻-6273","layer":1},{"info":"⋰*⋻3381/⋰*⋻1304=⋰*⋻2","layer":3},{"info":"↽≂⋰*⋻2=⋰*⋻-4","layer":2},{"info":"⨑⩽⪐⋰*⋻2128=⋰*⋻-19AA","layer":3},{"info":"⋰*⋻181A⋝⋈⪟⋰*⋻2083=⋰*⋻181A","layer":3},{"info":"⋰*⋻-19AA%⋰*⋻181A=⋰*⋻163A","layer":2},{"info":"⋰*⋻-4⪘⫢⋰*⋻163A=⋰*⋻-976","layer":1},{"info":"⋰*⋻-6273%⋰*⋻-976=⋰*⋻-95","layer":0}]}
{"id":548,"expression_no_base_symbol":"(⨞⊢($1228$↙$1194$)∼($2000$⇼⇔∾$3025$))⨪↰⇹(($5494$⋥≓≎$6530$≣⋋)⨰(($2940$⩨$6248$)≎⊠⪸($1107$⇋≉)))","expression":"(⨞⊢(⋰*⋻A17↙⋰*⋻996)∼(⋰*⋻1559⇼⇔∾⋰*⋻2300))⨪↰⇹((⋰*⋻4145⋥≓≎⋰*⋻49A7≣⋋)⨰((⋰*⋻2233⩨⋰*⋻4770)≎⊠⪸(⋰*⋻917⇋≉)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1824,"operation_count":11,"complexity_ratio":165.8181818181818,"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":1228,"base":11},"right_expr":{"type":"numeric_atoms","value":1194,"base":11}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2000,"base":11},"right_expr":{"type":"numeric_atoms","value":3025,"base":11}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":5494,"base":11},"right_expr":{"type":"numeric_atoms","value":6530,"base":11}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2940,"base":11},"right_expr":{"type":"numeric_atoms","value":6248,"base":11}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1107,"base":11}}}}},"used_operators":["tmPS8pqC7x","xUOZtlo3hN","DyGG3AbaNP","yyfyN0ffXY","tifHPKVTfV","eewbuw0ToL","Tcnh7f0tEr","Qy55tPpLXF","bJkvcejdHO","2DlMacCsIx","XIabStNQrY"],"dependent_operators":["rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1228","layer":4},{"info":"number node, value=1194","layer":4},{"info":"compute binary expreesion, left_input=1228, right_input=1194, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3582","layer":3},{"info":"number node, value=2000","layer":4},{"info":"number node, value=3025","layer":4},{"info":"compute binary expreesion, left_input=2000, right_input=3025, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1025","layer":3},{"info":"compute binary expreesion, left_input=-3582, right_input=1025, 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 = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":1},{"info":"number node, value=5494","layer":4},{"info":"number node, value=6530","layer":4},{"info":"compute binary expreesion, left_input=5494, right_input=6530, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=7599","layer":3},{"info":"compute unary expreesion, input=7599, 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=2940","layer":4},{"info":"number node, value=6248","layer":4},{"info":"compute binary expreesion, left_input=2940, right_input=6248, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":3},{"info":"number node, value=1107","layer":4},{"info":"compute unary expreesion, input=1107, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=2116","layer":3},{"info":"compute binary expreesion, left_input=-6, right_input=2116, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1554","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=1554, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1544","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1544, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⨞⊢(⋰*⋻A17↙⋰*⋻996)∼(⋰*⋻1559⇼⇔∾⋰*⋻2300))⨪↰⇹((⋰*⋻4145⋥≓≎⋰*⋻49A7≣⋋)⨰((⋰*⋻2233⩨⋰*⋻4770)≎⊠⪸(⋰*⋻917⇋≉)))=NaN","reverse_text":"NaN=(⨞⊢(⋰*⋻A17↙⋰*⋻996)∼(⋰*⋻1559⇼⇔∾⋰*⋻2300))⨪↰⇹((⋰*⋻4145⋥≓≎⋰*⋻49A7≣⋋)⨰((⋰*⋻2233⩨⋰*⋻4770)≎⊠⪸(⋰*⋻917⇋≉)))","cot":[{"info":"⋰*⋻A17↙⋰*⋻996=⋰*⋻-2767","layer":3},{"info":"⋰*⋻1559⇼⇔∾⋰*⋻2300=⋰*⋻852","layer":3},{"info":"⋰*⋻-2767∼⋰*⋻852=NaN","layer":2},{"info":"⨞⊢NaN=NaN","layer":1},{"info":"⋰*⋻4145⋥≓≎⋰*⋻49A7=⋰*⋻5789","layer":3},{"info":"⋰*⋻5789≣⋋=⋰*⋻0","layer":2},{"info":"⋰*⋻2233⩨⋰*⋻4770=⋰*⋻-6","layer":3},{"info":"⋰*⋻917⇋≉=⋰*⋻1654","layer":3},{"info":"⋰*⋻-6≎⊠⪸⋰*⋻1654=⋰*⋻1193","layer":2},{"info":"⋰*⋻0⨰⋰*⋻1193=⋰*⋻-1184","layer":1},{"info":"NaN⨪↰⇹⋰*⋻-1184=NaN","layer":0}]}
{"id":549,"expression_no_base_symbol":"(($2849$*$3616$)⊴($1499$⫸⊐$1580$))≹⇙⪍((↔$4050$)-$1569$⨪↰⇹$3018$)⫡⨏((↔$1259$)⫌⩹⨱)⨳⩥⨓(↽≂$2723$∀⇚≩$6301$)","expression":"((⋰*⋻2160*⋰*⋻2798)⊴(⋰*⋻1143⫸⊐⋰*⋻1207))≹⇙⪍((↔⋰*⋻3052)-⋰*⋻11A7⨪↰⇹⋰*⋻22A4)⫡⨏((↔⋰*⋻A45)⫌⩹⨱)⨳⩥⨓(↽≂⋰*⋻2056∀⇚≩⋰*⋻4809)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":91641,"operation_count":13,"complexity_ratio":7049.307692307692,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2849,"base":11},"right_expr":{"type":"numeric_atoms","value":3616,"base":11}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1499,"base":11},"right_expr":{"type":"numeric_atoms","value":1580,"base":11}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":4050,"base":11}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1569,"base":11},"right_expr":{"type":"numeric_atoms","value":3018,"base":11}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1259,"base":11}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2723,"base":11},"right_expr":{"type":"numeric_atoms","value":6301,"base":11}}}}},"used_operators":["QMFrweE19q","AHs5Up7iyr","Nsiff2A1zJ","9HNa5Wba9A","mqXw5SEYmG","rysDP5nf3Z","ruOEQAzv1W","tmPS8pqC7x","nCS4ZIUYfx","EBcxylXtPf","u6S6b8DprG","LRNGc0VcxI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2849","layer":4},{"info":"number node, value=3616","layer":4},{"info":"compute binary expreesion, left_input=2849, right_input=3616, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=10301984","layer":3},{"info":"number node, value=1499","layer":4},{"info":"number node, value=1580","layer":4},{"info":"compute binary expreesion, left_input=1499, right_input=1580, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6195","layer":3},{"info":"compute binary expreesion, left_input=10301984, right_input=6195, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=4050","layer":4},{"info":"compute unary expreesion, input=4050, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3777","layer":3},{"info":"number node, value=1569","layer":4},{"info":"number node, value=3018","layer":4},{"info":"compute binary expreesion, left_input=1569, right_input=3018, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1569","layer":3},{"info":"compute binary expreesion, left_input=-3777, right_input=1569, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-5346","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-5346, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=1259","layer":4},{"info":"compute unary expreesion, input=1259, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-986","layer":3},{"info":"compute unary expreesion, input=-986, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=-571","layer":2},{"info":"number node, value=2723","layer":4},{"info":"number node, value=6301","layer":4},{"info":"compute binary expreesion, left_input=2723, right_input=6301, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-571, 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 = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻2160*⋰*⋻2798)⊴(⋰*⋻1143⫸⊐⋰*⋻1207))≹⇙⪍((↔⋰*⋻3052)-⋰*⋻11A7⨪↰⇹⋰*⋻22A4)⫡⨏((↔⋰*⋻A45)⫌⩹⨱)⨳⩥⨓(↽≂⋰*⋻2056∀⇚≩⋰*⋻4809)=NaN","reverse_text":"NaN=((⋰*⋻2160*⋰*⋻2798)⊴(⋰*⋻1143⫸⊐⋰*⋻1207))≹⇙⪍((↔⋰*⋻3052)-⋰*⋻11A7⨪↰⇹⋰*⋻22A4)⫡⨏((↔⋰*⋻A45)⫌⩹⨱)⨳⩥⨓(↽≂⋰*⋻2056∀⇚≩⋰*⋻4809)","cot":[{"info":"⋰*⋻2160*⋰*⋻2798=⋰*⋻58A7040","layer":3},{"info":"⋰*⋻1143⫸⊐⋰*⋻1207=⋰*⋻4722","layer":3},{"info":"⋰*⋻58A7040⊴⋰*⋻4722=NaN","layer":2},{"info":"↔⋰*⋻3052=⋰*⋻-2924","layer":3},{"info":"⋰*⋻11A7⨪↰⇹⋰*⋻22A4=⋰*⋻11A7","layer":3},{"info":"⋰*⋻-2924-⋰*⋻11A7=⋰*⋻-4020","layer":2},{"info":"NaN≹⇙⪍⋰*⋻-4020=NaN","layer":1},{"info":"↔⋰*⋻A45=⋰*⋻-817","layer":3},{"info":"⋰*⋻-817⫌⩹⨱=⋰*⋻-47A","layer":2},{"info":"⋰*⋻2056∀⇚≩⋰*⋻4809=NaN","layer":3},{"info":"↽≂NaN=NaN","layer":2},{"info":"⋰*⋻-47A⨳⩥⨓NaN=NaN","layer":1},{"info":"NaN⫡⨏NaN=NaN","layer":0}]}
{"id":550,"expression_no_base_symbol":"$2001$⋳⪒$1060$⫥∨⫟$1110$≹⇙⪍$1568$⨎((↽≂$3955$)⊭↱$6147$⊴$1711$)⋷($1021$/$2635$)⋳⪒($6261$⋷$3243$)⊉≛↸(↣≠⋷(⇁⨣⪵$3625$))","expression":"⋰*⋻155A⋳⪒⋰*⋻884⫥∨⫟⋰*⋻91A≹⇙⪍⋰*⋻11A6⨎((↽≂⋰*⋻2A76)⊭↱⋰*⋻4689⊴⋰*⋻1316)⋷(⋰*⋻849/⋰*⋻1A86)⋳⪒(⋰*⋻4782⋷⋰*⋻2489)⊉≛↸(↣≠⋷(⇁⨣⪵⋰*⋻27A6))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3430,"operation_count":14,"complexity_ratio":245.0,"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":2001,"base":11},"right_expr":{"type":"numeric_atoms","value":1060,"base":11}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1110,"base":11},"right_expr":{"type":"numeric_atoms","value":1568,"base":11}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":3955,"base":11}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":6147,"base":11},"right_expr":{"type":"numeric_atoms","value":1711,"base":11}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1021,"base":11},"right_expr":{"type":"numeric_atoms","value":2635,"base":11}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":6261,"base":11},"right_expr":{"type":"numeric_atoms","value":3243,"base":11}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":3625,"base":11}}}}},"used_operators":["23Mk6UjR3U","rJVOvQCfKK","KYD54nUTWz","12rbrZMWeM","AHs5Up7iyr","COABgblf1C","u6S6b8DprG","Nsiff2A1zJ","DZ8iAZOCBD","XhwjNDsVaA","Asc51vEJeQ","inkyxCbjAn"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","XhwjNDsVaA","AHs5Up7iyr","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2001","layer":4},{"info":"number node, value=1060","layer":4},{"info":"compute binary expreesion, left_input=2001, right_input=1060, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2655","layer":3},{"info":"number node, value=1110","layer":4},{"info":"number node, value=1568","layer":4},{"info":"compute binary expreesion, left_input=1110, right_input=1568, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=2655, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=3955","layer":4},{"info":"compute unary expreesion, input=3955, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-7910","layer":3},{"info":"number node, value=6147","layer":4},{"info":"number node, value=1711","layer":4},{"info":"compute binary expreesion, left_input=6147, right_input=1711, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-7910, 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 = 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=1021","layer":4},{"info":"number node, value=2635","layer":4},{"info":"compute binary expreesion, left_input=1021, right_input=2635, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=6261","layer":4},{"info":"number node, value=3243","layer":4},{"info":"compute binary expreesion, left_input=6261, right_input=3243, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=225","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=225, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-512","layer":2},{"info":"number node, value=3625","layer":4},{"info":"compute unary expreesion, input=3625, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-512, 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":11,"result_base":11,"text":"⋰*⋻155A⋳⪒⋰*⋻884⫥∨⫟⋰*⋻91A≹⇙⪍⋰*⋻11A6⨎((↽≂⋰*⋻2A76)⊭↱⋰*⋻4689⊴⋰*⋻1316)⋷(⋰*⋻849/⋰*⋻1A86)⋳⪒(⋰*⋻4782⋷⋰*⋻2489)⊉≛↸(↣≠⋷(⇁⨣⪵⋰*⋻27A6))=NaN","reverse_text":"NaN=⋰*⋻155A⋳⪒⋰*⋻884⫥∨⫟⋰*⋻91A≹⇙⪍⋰*⋻11A6⨎((↽≂⋰*⋻2A76)⊭↱⋰*⋻4689⊴⋰*⋻1316)⋷(⋰*⋻849/⋰*⋻1A86)⋳⪒(⋰*⋻4782⋷⋰*⋻2489)⊉≛↸(↣≠⋷(⇁⨣⪵⋰*⋻27A6))","cot":[{"info":"⋰*⋻155A⋳⪒⋰*⋻884=⋰*⋻1AA4","layer":3},{"info":"⋰*⋻91A≹⇙⪍⋰*⋻11A6=NaN","layer":3},{"info":"⋰*⋻1AA4⫥∨⫟NaN=NaN","layer":2},{"info":"↽≂⋰*⋻2A76=⋰*⋻-5A41","layer":3},{"info":"⋰*⋻4689⊴⋰*⋻1316=NaN","layer":3},{"info":"⋰*⋻-5A41⊭↱NaN=NaN","layer":2},{"info":"NaN⨎NaN=NaN","layer":1},{"info":"⋰*⋻849/⋰*⋻1A86=⋰*⋻0","layer":3},{"info":"⋰*⋻4782⋷⋰*⋻2489=⋰*⋻195","layer":3},{"info":"⋰*⋻0⋳⪒⋰*⋻195=⋰*⋻-426","layer":2},{"info":"⇁⨣⪵⋰*⋻27A6=NaN","layer":3},{"info":"↣≠⋷NaN=NaN","layer":2},{"info":"⋰*⋻-426⊉≛↸NaN=NaN","layer":1},{"info":"NaN⋷NaN=NaN","layer":0}]}
{"id":551,"expression_no_base_symbol":"(($4197$⇼⇔∾$7822$/$1642$⨰$7023$)⊘)⪘⫢((($5350$+$2781$)+⇶⊼($1753$⨐⩸⫘$1574$))⨰(≉$6155$⨟⋌⩍$3330$))","expression":"((⋰*⋻3176⇼⇔∾⋰*⋻5971/⋰*⋻1263⨰⋰*⋻5305)⊘)⪘⫢(((⋰*⋻4024+⋰*⋻20A9)+⇶⊼(⋰*⋻1354⨐⩸⫘⋰*⋻1201))⨰(≉⋰*⋻4696⨟⋌⩍⋰*⋻2558))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":51,"operation_count":11,"complexity_ratio":4.636363636363637,"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":4197,"base":11},"right_expr":{"type":"numeric_atoms","value":7822,"base":11}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1642,"base":11},"right_expr":{"type":"numeric_atoms","value":7023,"base":11}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":5350,"base":11},"right_expr":{"type":"numeric_atoms","value":2781,"base":11}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1753,"base":11},"right_expr":{"type":"numeric_atoms","value":1574,"base":11}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":6155,"base":11},"right_expr":{"type":"numeric_atoms","value":3330,"base":11}}}}},"used_operators":["oacrs7FA3X","gu96TGCTMs","XhwjNDsVaA","tifHPKVTfV","eewbuw0ToL","TpPTUOHfaN","W4YGzv6Whe","fu6greOZ01","e1ybzncUwg","rGHVDoGpnC"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4197","layer":4},{"info":"number node, value=7822","layer":4},{"info":"compute binary expreesion, left_input=4197, right_input=7822, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=3625","layer":3},{"info":"number node, value=1642","layer":4},{"info":"number node, value=7023","layer":4},{"info":"compute binary expreesion, left_input=1642, right_input=7023, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-5371","layer":3},{"info":"compute binary expreesion, left_input=3625, right_input=-5371, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":2},{"info":"compute unary expreesion, input=-1, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":1},{"info":"number node, value=5350","layer":4},{"info":"number node, value=2781","layer":4},{"info":"compute binary expreesion, left_input=5350, right_input=2781, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8131","layer":3},{"info":"number node, value=1753","layer":4},{"info":"number node, value=1574","layer":4},{"info":"compute binary expreesion, left_input=1753, right_input=1574, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=8131, 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=6155","layer":4},{"info":"number node, value=3330","layer":4},{"info":"compute binary expreesion, left_input=6155, right_input=3330, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = 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 = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻3176⇼⇔∾⋰*⋻5971/⋰*⋻1263⨰⋰*⋻5305)⊘)⪘⫢(((⋰*⋻4024+⋰*⋻20A9)+⇶⊼(⋰*⋻1354⨐⩸⫘⋰*⋻1201))⨰(≉⋰*⋻4696⨟⋌⩍⋰*⋻2558))=NaN","reverse_text":"NaN=((⋰*⋻3176⇼⇔∾⋰*⋻5971/⋰*⋻1263⨰⋰*⋻5305)⊘)⪘⫢(((⋰*⋻4024+⋰*⋻20A9)+⇶⊼(⋰*⋻1354⨐⩸⫘⋰*⋻1201))⨰(≉⋰*⋻4696⨟⋌⩍⋰*⋻2558))","cot":[{"info":"⋰*⋻3176⇼⇔∾⋰*⋻5971=⋰*⋻27A6","layer":3},{"info":"⋰*⋻1263⨰⋰*⋻5305=⋰*⋻-4043","layer":3},{"info":"⋰*⋻27A6/⋰*⋻-4043=⋰*⋻-1","layer":2},{"info":"⋰*⋻-1⊘=⋰*⋻0","layer":1},{"info":"⋰*⋻4024+⋰*⋻20A9=⋰*⋻6122","layer":3},{"info":"⋰*⋻1354⨐⩸⫘⋰*⋻1201=NaN","layer":3},{"info":"⋰*⋻6122+⇶⊼NaN=NaN","layer":2},{"info":"⋰*⋻4696⨟⋌⩍⋰*⋻2558=NaN","layer":3},{"info":"≉NaN=NaN","layer":2},{"info":"NaN⨰NaN=NaN","layer":1},{"info":"⋰*⋻0⪘⫢NaN=NaN","layer":0}]}
{"id":552,"expression_no_base_symbol":"(⫓⪴$2532$⪛$1819$)⩷∴(⇁⨣⪵$6205$⪄$2165$)↺(($1045$∑⇟⊟$1898$)⪛($2347$≭$5095$)+$5519$⋳⪒$2075$⊉≛↸(↽≂$2266$))","expression":"(⫓⪴⋰*⋻19A2⪛⋰*⋻1404)⩷∴(⇁⨣⪵⋰*⋻4731⪄⋰*⋻1699)↺((⋰*⋻870∑⇟⊟⋰*⋻1476)⪛(⋰*⋻1844≭⋰*⋻3912)+⋰*⋻4168⋳⪒⋰*⋻1617⊉≛↸(↽≂⋰*⋻1780))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":840,"operation_count":13,"complexity_ratio":64.61538461538461,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2532,"base":11},"right_expr":{"type":"numeric_atoms","value":1819,"base":11}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":6205,"base":11},"right_expr":{"type":"numeric_atoms","value":2165,"base":11}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1045,"base":11},"right_expr":{"type":"numeric_atoms","value":1898,"base":11}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2347,"base":11},"right_expr":{"type":"numeric_atoms","value":5095,"base":11}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":5519,"base":11},"right_expr":{"type":"numeric_atoms","value":2075,"base":11}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2266,"base":11}}}}},"used_operators":["7j4O788W3g","9FxExcQeMw","eLxqMNBOBk","uFcxV4UQCh","inkyxCbjAn","SUmda5xLS4","W4YGzv6Whe","U7g4x0WXJJ","rxpJgHHUmx","DZ8iAZOCBD","12rbrZMWeM","u6S6b8DprG"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","B5M0gjZbta","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2532","layer":4},{"info":"number node, value=1819","layer":4},{"info":"compute binary expreesion, left_input=2532, right_input=1819, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=713","layer":3},{"info":"compute unary expreesion, input=713, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=508369","layer":2},{"info":"number node, value=6205","layer":4},{"info":"number node, value=2165","layer":4},{"info":"compute binary expreesion, left_input=6205, right_input=2165, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-923089","layer":3},{"info":"compute unary expreesion, input=-923089, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=508369, 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=1045","layer":4},{"info":"number node, value=1898","layer":4},{"info":"compute binary expreesion, left_input=1045, right_input=1898, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=2347","layer":4},{"info":"number node, value=5095","layer":4},{"info":"compute binary expreesion, left_input=2347, right_input=5095, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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":"number node, value=5519","layer":4},{"info":"number node, value=2075","layer":4},{"info":"compute binary expreesion, left_input=5519, right_input=2075, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=8676","layer":3},{"info":"number node, value=2266","layer":4},{"info":"compute unary expreesion, input=2266, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-4532","layer":3},{"info":"compute binary expreesion, left_input=8676, right_input=-4532, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=17352","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=17352, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⫓⪴⋰*⋻19A2⪛⋰*⋻1404)⩷∴(⇁⨣⪵⋰*⋻4731⪄⋰*⋻1699)↺((⋰*⋻870∑⇟⊟⋰*⋻1476)⪛(⋰*⋻1844≭⋰*⋻3912)+⋰*⋻4168⋳⪒⋰*⋻1617⊉≛↸(↽≂⋰*⋻1780))=NaN","reverse_text":"NaN=(⫓⪴⋰*⋻19A2⪛⋰*⋻1404)⩷∴(⇁⨣⪵⋰*⋻4731⪄⋰*⋻1699)↺((⋰*⋻870∑⇟⊟⋰*⋻1476)⪛(⋰*⋻1844≭⋰*⋻3912)+⋰*⋻4168⋳⪒⋰*⋻1617⊉≛↸(↽≂⋰*⋻1780))","cot":[{"info":"⋰*⋻19A2⪛⋰*⋻1404=⋰*⋻599","layer":3},{"info":"⫓⪴⋰*⋻599=⋰*⋻317A44","layer":2},{"info":"⋰*⋻4731⪄⋰*⋻1699=⋰*⋻-580592","layer":3},{"info":"⇁⨣⪵⋰*⋻-580592=NaN","layer":2},{"info":"⋰*⋻317A44⩷∴NaN=NaN","layer":1},{"info":"⋰*⋻870∑⇟⊟⋰*⋻1476=NaN","layer":3},{"info":"⋰*⋻1844≭⋰*⋻3912=NaN","layer":3},{"info":"NaN⪛NaN=NaN","layer":2},{"info":"⋰*⋻4168⋳⪒⋰*⋻1617=⋰*⋻6578","layer":3},{"info":"↽≂⋰*⋻1780=⋰*⋻-3450","layer":3},{"info":"⋰*⋻6578⊉≛↸⋰*⋻-3450=⋰*⋻12045","layer":2},{"info":"NaN+⋰*⋻12045=NaN","layer":1},{"info":"NaN↺NaN=NaN","layer":0}]}
{"id":553,"expression_no_base_symbol":"($8523$+⇶⊼$4257$⩨($1553$-$3385$)⋷(⪲⇎($3760$⋷$2431$)))⨸⪁((⨵≀≌$2447$⇷$2315$)⊭↱$1077$⋳⪒$6488$⨎($1712$⩨$1065$))","expression":"(⋰*⋻6449+⇶⊼⋰*⋻3220⩨(⋰*⋻1192-⋰*⋻25A8)⋷(⪲⇎(⋰*⋻2909⋷⋰*⋻1910)))⨸⪁((⨵≀≌⋰*⋻1925⇷⋰*⋻1815)⊭↱⋰*⋻89A⋳⪒⋰*⋻4969⨎(⋰*⋻1317⩨⋰*⋻889))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":34301,"operation_count":13,"complexity_ratio":2638.5384615384614,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":8523,"base":11},"right_expr":{"type":"numeric_atoms","value":4257,"base":11}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1553,"base":11},"right_expr":{"type":"numeric_atoms","value":3385,"base":11}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3760,"base":11},"right_expr":{"type":"numeric_atoms","value":2431,"base":11}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2447,"base":11},"right_expr":{"type":"numeric_atoms","value":2315,"base":11}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1077,"base":11},"right_expr":{"type":"numeric_atoms","value":6488,"base":11}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1712,"base":11},"right_expr":{"type":"numeric_atoms","value":1065,"base":11}}}}},"used_operators":["g55IO6H4Gj","23Mk6UjR3U","2DlMacCsIx","TpPTUOHfaN","rysDP5nf3Z","XPYlsWDdGa","COABgblf1C","srAu1WTS94","mp7IySMOzn","rJVOvQCfKK","12rbrZMWeM"],"dependent_operators":["W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=8523","layer":4},{"info":"number node, value=4257","layer":4},{"info":"compute binary expreesion, left_input=8523, right_input=4257, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=1553","layer":4},{"info":"number node, value=3385","layer":4},{"info":"compute binary expreesion, left_input=1553, right_input=3385, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1832","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1832, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"number node, value=3760","layer":4},{"info":"number node, value=2431","layer":4},{"info":"compute binary expreesion, left_input=3760, right_input=2431, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1102","layer":3},{"info":"compute unary expreesion, input=1102, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2204","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2204, 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=2447","layer":4},{"info":"number node, value=2315","layer":4},{"info":"compute binary expreesion, left_input=2447, right_input=2315, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4630","layer":3},{"info":"compute unary expreesion, input=4630, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-13890","layer":2},{"info":"number node, value=1077","layer":4},{"info":"number node, value=6488","layer":4},{"info":"compute binary expreesion, left_input=1077, right_input=6488, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-4621","layer":3},{"info":"number node, value=1712","layer":4},{"info":"number node, value=1065","layer":4},{"info":"compute binary expreesion, left_input=1712, right_input=1065, 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=-4621, 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=-13890, right_input=0, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=27785","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=27785, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻6449+⇶⊼⋰*⋻3220⩨(⋰*⋻1192-⋰*⋻25A8)⋷(⪲⇎(⋰*⋻2909⋷⋰*⋻1910)))⨸⪁((⨵≀≌⋰*⋻1925⇷⋰*⋻1815)⊭↱⋰*⋻89A⋳⪒⋰*⋻4969⨎(⋰*⋻1317⩨⋰*⋻889))=NaN","reverse_text":"NaN=(⋰*⋻6449+⇶⊼⋰*⋻3220⩨(⋰*⋻1192-⋰*⋻25A8)⋷(⪲⇎(⋰*⋻2909⋷⋰*⋻1910)))⨸⪁((⨵≀≌⋰*⋻1925⇷⋰*⋻1815)⊭↱⋰*⋻89A⋳⪒⋰*⋻4969⨎(⋰*⋻1317⩨⋰*⋻889))","cot":[{"info":"⋰*⋻6449+⇶⊼⋰*⋻3220=NaN","layer":3},{"info":"⋰*⋻1192-⋰*⋻25A8=⋰*⋻-1416","layer":3},{"info":"NaN⩨⋰*⋻-1416=NaN","layer":2},{"info":"⋰*⋻2909⋷⋰*⋻1910=⋰*⋻912","layer":3},{"info":"⪲⇎⋰*⋻912=⋰*⋻1724","layer":2},{"info":"NaN⋷⋰*⋻1724=NaN","layer":1},{"info":"⋰*⋻1925⇷⋰*⋻1815=⋰*⋻352A","layer":3},{"info":"⨵≀≌⋰*⋻352A=⋰*⋻-A488","layer":2},{"info":"⋰*⋻89A⋳⪒⋰*⋻4969=⋰*⋻-3521","layer":3},{"info":"⋰*⋻1317⩨⋰*⋻889=⋰*⋻0","layer":3},{"info":"⋰*⋻-3521⨎⋰*⋻0=⋰*⋻0","layer":2},{"info":"⋰*⋻-A488⊭↱⋰*⋻0=⋰*⋻1996A","layer":1},{"info":"NaN⨸⪁⋰*⋻1996A=NaN","layer":0}]}
{"id":554,"expression_no_base_symbol":"((≦∁$2662$⇷$3332$)⨓(($1001$⇼⇔∾$2491$)⨎(↯⪼$1425$)))⪛((≉$2152$)⨟⋌⩍($2941$⨸⪁$4536$)⊭↱($4194$∑⇟⊟$1040$)⪘⫢($4291$↺$2521$))","expression":"((≦∁⋰*⋻2000⇷⋰*⋻255A)⨓((⋰*⋻830⇼⇔∾⋰*⋻1965)⨎(↯⪼⋰*⋻1086)))⪛((≉⋰*⋻1687)⨟⋌⩍(⋰*⋻2234⨸⪁⋰*⋻3454)⊭↱(⋰*⋻3173∑⇟⊟⋰*⋻866)⪘⫢(⋰*⋻3251↺⋰*⋻1992))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":37364,"operation_count":14,"complexity_ratio":2668.8571428571427,"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":2662,"base":11},"right_expr":{"type":"numeric_atoms","value":3332,"base":11}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1001,"base":11},"right_expr":{"type":"numeric_atoms","value":2491,"base":11}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1425,"base":11}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2152,"base":11}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2941,"base":11},"right_expr":{"type":"numeric_atoms","value":4536,"base":11}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":4194,"base":11},"right_expr":{"type":"numeric_atoms","value":1040,"base":11}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":4291,"base":11},"right_expr":{"type":"numeric_atoms","value":2521,"base":11}}}}},"used_operators":["uFcxV4UQCh","3ViojmjbAp","9ICcGScMcE","mp7IySMOzn","rJVOvQCfKK","tifHPKVTfV","8jW3W4yZS5","COABgblf1C","rGHVDoGpnC","e1ybzncUwg","g55IO6H4Gj","oacrs7FA3X","U7g4x0WXJJ","7j4O788W3g"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2662","layer":4},{"info":"number node, value=3332","layer":4},{"info":"compute binary expreesion, left_input=2662, right_input=3332, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6664","layer":3},{"info":"compute unary expreesion, input=6664, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=6664","layer":2},{"info":"number node, value=1001","layer":4},{"info":"number node, value=2491","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=2491, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1490","layer":3},{"info":"number node, value=1425","layer":4},{"info":"compute unary expreesion, input=1425, 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=1490, 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=6664, right_input=-21, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-24","layer":1},{"info":"number node, value=2152","layer":4},{"info":"compute unary expreesion, input=2152, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2683","layer":3},{"info":"number node, value=2941","layer":4},{"info":"number node, value=4536","layer":4},{"info":"compute binary expreesion, left_input=2941, right_input=4536, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=14954","layer":3},{"info":"compute binary expreesion, left_input=2683, right_input=14954, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=4194","layer":4},{"info":"number node, value=1040","layer":4},{"info":"compute binary expreesion, left_input=4194, right_input=1040, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=4291","layer":4},{"info":"number node, value=2521","layer":4},{"info":"compute binary expreesion, left_input=4291, right_input=2521, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2521","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2521, 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 = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-24, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((≦∁⋰*⋻2000⇷⋰*⋻255A)⨓((⋰*⋻830⇼⇔∾⋰*⋻1965)⨎(↯⪼⋰*⋻1086)))⪛((≉⋰*⋻1687)⨟⋌⩍(⋰*⋻2234⨸⪁⋰*⋻3454)⊭↱(⋰*⋻3173∑⇟⊟⋰*⋻866)⪘⫢(⋰*⋻3251↺⋰*⋻1992))=NaN","reverse_text":"NaN=((≦∁⋰*⋻2000⇷⋰*⋻255A)⨓((⋰*⋻830⇼⇔∾⋰*⋻1965)⨎(↯⪼⋰*⋻1086)))⪛((≉⋰*⋻1687)⨟⋌⩍(⋰*⋻2234⨸⪁⋰*⋻3454)⊭↱(⋰*⋻3173∑⇟⊟⋰*⋻866)⪘⫢(⋰*⋻3251↺⋰*⋻1992))","cot":[{"info":"⋰*⋻2000⇷⋰*⋻255A=⋰*⋻5009","layer":3},{"info":"≦∁⋰*⋻5009=⋰*⋻5009","layer":2},{"info":"⋰*⋻830⇼⇔∾⋰*⋻1965=⋰*⋻1135","layer":3},{"info":"↯⪼⋰*⋻1086=⋰*⋻-1A","layer":3},{"info":"⋰*⋻1135⨎⋰*⋻-1A=⋰*⋻-1A","layer":2},{"info":"⋰*⋻5009⨓⋰*⋻-1A=⋰*⋻-22","layer":1},{"info":"≉⋰*⋻1687=⋰*⋻201A","layer":3},{"info":"⋰*⋻2234⨸⪁⋰*⋻3454=⋰*⋻10265","layer":3},{"info":"⋰*⋻201A⨟⋌⩍⋰*⋻10265=NaN","layer":2},{"info":"⋰*⋻3173∑⇟⊟⋰*⋻866=NaN","layer":3},{"info":"⋰*⋻3251↺⋰*⋻1992=⋰*⋻1992","layer":3},{"info":"NaN⪘⫢⋰*⋻1992=NaN","layer":2},{"info":"NaN⊭↱NaN=NaN","layer":1},{"info":"⋰*⋻-22⪛NaN=NaN","layer":0}]}
{"id":555,"expression_no_base_symbol":"(∂((⫓⪴$1834$)⋝⋈⪟($2967$↙$3521$)))⨁⊸⫻","expression":"(∂((⫓⪴⋰*⋻1418)⋝⋈⪟(⋰*⋻2258↙⋰*⋻2711)))⨁⊸⫻","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":5363,"operation_count":5,"complexity_ratio":1072.6,"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":1834,"base":11}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2967,"base":11},"right_expr":{"type":"numeric_atoms","value":3521,"base":11}}}}},"used_operators":["glklzrTFfD","Uaa54Peajs","2DDjHMKMc0","eLxqMNBOBk","yyfyN0ffXY"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1834","layer":4},{"info":"compute unary expreesion, input=1834, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=3363556","layer":3},{"info":"number node, value=2967","layer":4},{"info":"number node, value=3521","layer":4},{"info":"compute binary expreesion, left_input=2967, right_input=3521, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-10563","layer":3},{"info":"compute binary expreesion, left_input=3363556, right_input=-10563, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3363556","layer":2},{"info":"compute unary expreesion, input=3363556, 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 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":11,"result_base":11,"text":"(∂((⫓⪴⋰*⋻1418)⋝⋈⪟(⋰*⋻2258↙⋰*⋻2711)))⨁⊸⫻=NaN","reverse_text":"NaN=(∂((⫓⪴⋰*⋻1418)⋝⋈⪟(⋰*⋻2258↙⋰*⋻2711)))⨁⊸⫻","cot":[{"info":"⫓⪴⋰*⋻1418=⋰*⋻19980A9","layer":3},{"info":"⋰*⋻2258↙⋰*⋻2711=⋰*⋻-7A33","layer":3},{"info":"⋰*⋻19980A9⋝⋈⪟⋰*⋻-7A33=⋰*⋻19980A9","layer":2},{"info":"∂⋰*⋻19980A9=NaN","layer":1},{"info":"NaN⨁⊸⫻=NaN","layer":0}]}
{"id":556,"expression_no_base_symbol":"(⩦⩻⨪($7522$⪒$3073$)⋳⪒$6197$≹⇙⪍$2294$)/(($6145$+⇶⊼$2053$⨽($5453$⇼⇔∾$1295$))∸)","expression":"(⩦⩻⨪(⋰*⋻5719⪒⋰*⋻2344)⋳⪒⋰*⋻4724≹⇙⪍⋰*⋻17A6)/((⋰*⋻4687+⇶⊼⋰*⋻15A7⨽(⋰*⋻4108⇼⇔∾⋰*⋻A78))∸)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":205,"operation_count":9,"complexity_ratio":22.77777777777778,"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":7522,"base":11},"right_expr":{"type":"numeric_atoms","value":3073,"base":11}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":6197,"base":11},"right_expr":{"type":"numeric_atoms","value":2294,"base":11}}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":6145,"base":11},"right_expr":{"type":"numeric_atoms","value":2053,"base":11}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":5453,"base":11},"right_expr":{"type":"numeric_atoms","value":1295,"base":11}}}}},"used_operators":["XhwjNDsVaA","2td37pGCOC","12rbrZMWeM","f6k1SAg4EE","AHs5Up7iyr","o20kRiQErp","8HhzD0ZcuI","TpPTUOHfaN","tifHPKVTfV"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","tmPS8pqC7x","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7522","layer":4},{"info":"number node, value=3073","layer":4},{"info":"compute binary expreesion, left_input=7522, right_input=3073, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-10595","layer":3},{"info":"number node, value=6197","layer":4},{"info":"number node, value=2294","layer":4},{"info":"compute binary expreesion, left_input=6197, right_input=2294, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=-10595, 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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":1},{"info":"number node, value=6145","layer":4},{"info":"number node, value=2053","layer":4},{"info":"compute binary expreesion, left_input=6145, right_input=2053, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=5453","layer":4},{"info":"number node, value=1295","layer":4},{"info":"compute binary expreesion, left_input=5453, right_input=1295, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-4158","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4158, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=177, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⩦⩻⨪(⋰*⋻5719⪒⋰*⋻2344)⋳⪒⋰*⋻4724≹⇙⪍⋰*⋻17A6)/((⋰*⋻4687+⇶⊼⋰*⋻15A7⨽(⋰*⋻4108⇼⇔∾⋰*⋻A78))∸)=NaN","reverse_text":"NaN=(⩦⩻⨪(⋰*⋻5719⪒⋰*⋻2344)⋳⪒⋰*⋻4724≹⇙⪍⋰*⋻17A6)/((⋰*⋻4687+⇶⊼⋰*⋻15A7⨽(⋰*⋻4108⇼⇔∾⋰*⋻A78))∸)","cot":[{"info":"⋰*⋻5719⪒⋰*⋻2344=⋰*⋻-7A62","layer":3},{"info":"⋰*⋻4724≹⇙⪍⋰*⋻17A6=NaN","layer":3},{"info":"⋰*⋻-7A62⋳⪒NaN=NaN","layer":2},{"info":"⩦⩻⨪NaN=NaN","layer":1},{"info":"⋰*⋻4687+⇶⊼⋰*⋻15A7=NaN","layer":3},{"info":"⋰*⋻4108⇼⇔∾⋰*⋻A78=⋰*⋻-3140","layer":3},{"info":"NaN⨽⋰*⋻-3140=NaN","layer":2},{"info":"NaN∸=⋰*⋻151","layer":1},{"info":"NaN/⋰*⋻151=NaN","layer":0}]}
{"id":557,"expression_no_base_symbol":"↩(⊥(($2798$⊉≛↸$3079$)⫸⊐($9563$⨵⪆$2940$)))","expression":"↩(⊥((⋰*⋻2114⊉≛↸⋰*⋻234A)⫸⊐(⋰*⋻7204⨵⪆⋰*⋻2233)))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":268362,"operation_count":5,"complexity_ratio":53672.4,"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":2798,"base":11},"right_expr":{"type":"numeric_atoms","value":3079,"base":11}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":9563,"base":11},"right_expr":{"type":"numeric_atoms","value":2940,"base":11}}}}},"used_operators":["jLgFTUHLKL","Q3PJZHRvZv","mqXw5SEYmG","DZ8iAZOCBD","2DQ55sFlQl"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","fu6greOZ01","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⋰*⋻3586","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2798","layer":4},{"info":"number node, value=3079","layer":4},{"info":"compute binary expreesion, left_input=2798, right_input=3079, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5596","layer":3},{"info":"number node, value=9563","layer":4},{"info":"number node, value=2940","layer":4},{"info":"compute binary expreesion, left_input=9563, right_input=2940, 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=5596, 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 unary expreesion, input=515, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=-518","layer":1},{"info":"compute unary expreesion, input=-518, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=4692","layer":0}],"base":11,"result_base":11,"text":"↩(⊥((⋰*⋻2114⊉≛↸⋰*⋻234A)⫸⊐(⋰*⋻7204⨵⪆⋰*⋻2233)))=⋰*⋻3586","reverse_text":"⋰*⋻3586=↩(⊥((⋰*⋻2114⊉≛↸⋰*⋻234A)⫸⊐(⋰*⋻7204⨵⪆⋰*⋻2233)))","cot":[{"info":"⋰*⋻2114⊉≛↸⋰*⋻234A=⋰*⋻4228","layer":3},{"info":"⋰*⋻7204⨵⪆⋰*⋻2233=⋰*⋻136","layer":3},{"info":"⋰*⋻4228⫸⊐⋰*⋻136=⋰*⋻429","layer":2},{"info":"⊥⋰*⋻429=⋰*⋻-431","layer":1},{"info":"↩⋰*⋻-431=⋰*⋻3586","layer":0}]}
{"id":558,"expression_no_base_symbol":"(($4685$⪠⩆⊳)⊉≛↸(+⊝⨔$3716$))⋓$4632$≹⇙⪍$4611$⪛($2805$⪄$1095$)⫥∨⫟($1987$↬$6806$↙$6212$⇷$1324$)⪛(($1668$↺$4186$)⨎(≦∁$8275$))","expression":"((⋰*⋻357A⪠⩆⊳)⊉≛↸(+⊝⨔⋰*⋻2879))⋓⋰*⋻3531≹⇙⪍⋰*⋻3512⪛(⋰*⋻2120⪄⋰*⋻906)⫥∨⫟(⋰*⋻1547↬⋰*⋻5128↙⋰*⋻4738⇷⋰*⋻AA4)⪛((⋰*⋻1287↺⋰*⋻3166)⨎(≦∁⋰*⋻6243))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":87299,"operation_count":15,"complexity_ratio":5819.933333333333,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":4685,"base":11}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":3716,"base":11}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":4632,"base":11},"right_expr":{"type":"numeric_atoms","value":4611,"base":11}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2805,"base":11},"right_expr":{"type":"numeric_atoms","value":1095,"base":11}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1987,"base":11},"right_expr":{"type":"numeric_atoms","value":6806,"base":11}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":6212,"base":11},"right_expr":{"type":"numeric_atoms","value":1324,"base":11}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1668,"base":11},"right_expr":{"type":"numeric_atoms","value":4186,"base":11}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":8275,"base":11}}}}},"used_operators":["KYD54nUTWz","T2fj7uvVaJ","DZ8iAZOCBD","JLbD19bQDL","DhbWaqg5eL","uFcxV4UQCh","AHs5Up7iyr","SUmda5xLS4","yyfyN0ffXY","B5M0gjZbta","mp7IySMOzn","rJVOvQCfKK","7j4O788W3g","9ICcGScMcE"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","tmPS8pqC7x","DpFCA1CohY","rGHVDoGpnC","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4685","layer":4},{"info":"compute unary expreesion, input=4685, 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=3716","layer":4},{"info":"compute unary expreesion, input=3716, 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 = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=0","layer":2},{"info":"number node, value=4632","layer":4},{"info":"number node, value=4611","layer":4},{"info":"compute binary expreesion, left_input=4632, right_input=4611, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=2805","layer":4},{"info":"number node, value=1095","layer":4},{"info":"compute binary expreesion, left_input=2805, right_input=1095, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-415609","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-415609, 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=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=1987","layer":4},{"info":"number node, value=6806","layer":4},{"info":"compute binary expreesion, left_input=1987, right_input=6806, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=6212","layer":4},{"info":"number node, value=1324","layer":4},{"info":"compute binary expreesion, left_input=6212, right_input=1324, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2648","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2648, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":2},{"info":"number node, value=1668","layer":4},{"info":"number node, value=4186","layer":4},{"info":"compute binary expreesion, left_input=1668, right_input=4186, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4186","layer":3},{"info":"number node, value=8275","layer":4},{"info":"compute unary expreesion, input=8275, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=8275","layer":3},{"info":"compute binary expreesion, left_input=4186, right_input=8275, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=8275","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=8275, 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 = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻357A⪠⩆⊳)⊉≛↸(+⊝⨔⋰*⋻2879))⋓⋰*⋻3531≹⇙⪍⋰*⋻3512⪛(⋰*⋻2120⪄⋰*⋻906)⫥∨⫟(⋰*⋻1547↬⋰*⋻5128↙⋰*⋻4738⇷⋰*⋻AA4)⪛((⋰*⋻1287↺⋰*⋻3166)⨎(≦∁⋰*⋻6243))=NaN","reverse_text":"NaN=((⋰*⋻357A⪠⩆⊳)⊉≛↸(+⊝⨔⋰*⋻2879))⋓⋰*⋻3531≹⇙⪍⋰*⋻3512⪛(⋰*⋻2120⪄⋰*⋻906)⫥∨⫟(⋰*⋻1547↬⋰*⋻5128↙⋰*⋻4738⇷⋰*⋻AA4)⪛((⋰*⋻1287↺⋰*⋻3166)⨎(≦∁⋰*⋻6243))","cot":[{"info":"⋰*⋻357A⪠⩆⊳=⋰*⋻0","layer":3},{"info":"+⊝⨔⋰*⋻2879=⋰*⋻1164","layer":3},{"info":"⋰*⋻0⊉≛↸⋰*⋻1164=⋰*⋻0","layer":2},{"info":"⋰*⋻3531≹⇙⪍⋰*⋻3512=NaN","layer":3},{"info":"⋰*⋻2120⪄⋰*⋻906=⋰*⋻-264287","layer":3},{"info":"NaN⪛⋰*⋻-264287=NaN","layer":2},{"info":"⋰*⋻0⋓NaN=NaN","layer":1},{"info":"⋰*⋻1547↬⋰*⋻5128=NaN","layer":3},{"info":"⋰*⋻4738⇷⋰*⋻AA4=⋰*⋻1A98","layer":3},{"info":"NaN↙⋰*⋻1A98=NaN","layer":2},{"info":"⋰*⋻1287↺⋰*⋻3166=⋰*⋻3166","layer":3},{"info":"≦∁⋰*⋻6243=⋰*⋻6243","layer":3},{"info":"⋰*⋻3166⨎⋰*⋻6243=⋰*⋻6243","layer":2},{"info":"NaN⪛⋰*⋻6243=NaN","layer":1},{"info":"NaN⫥∨⫟NaN=NaN","layer":0}]}
{"id":559,"expression_no_base_symbol":"⫛⫱⨽(⊙↵-($1020$⋳⪒$4056$⨎$6122$⋓$5361$))","expression":"⫛⫱⨽(⊙↵-(⋰*⋻848⋳⪒⋰*⋻3058⨎⋰*⋻4666⋓⋰*⋻4034))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":960,"operation_count":5,"complexity_ratio":192.0,"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":1020,"base":11},"right_expr":{"type":"numeric_atoms","value":4056,"base":11}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":6122,"base":11},"right_expr":{"type":"numeric_atoms","value":5361,"base":11}}}}},"used_operators":["DlLNRPXxWL","oWn0xqSxBt","rJVOvQCfKK","12rbrZMWeM","T2fj7uvVaJ"],"dependent_operators":["rGHVDoGpnC","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1020","layer":4},{"info":"number node, value=4056","layer":4},{"info":"compute binary expreesion, left_input=1020, right_input=4056, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-2303","layer":3},{"info":"number node, value=6122","layer":4},{"info":"number node, value=5361","layer":4},{"info":"compute binary expreesion, left_input=6122, right_input=5361, op_id = T2fj7uvVaJ binary_op_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=-2303, right_input=0, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((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":11,"result_base":11,"text":"⫛⫱⨽(⊙↵-(⋰*⋻848⋳⪒⋰*⋻3058⨎⋰*⋻4666⋓⋰*⋻4034))=⋰*⋻0","reverse_text":"⋰*⋻0=⫛⫱⨽(⊙↵-(⋰*⋻848⋳⪒⋰*⋻3058⨎⋰*⋻4666⋓⋰*⋻4034))","cot":[{"info":"⋰*⋻848⋳⪒⋰*⋻3058=⋰*⋻-1804","layer":3},{"info":"⋰*⋻4666⋓⋰*⋻4034=⋰*⋻0","layer":3},{"info":"⋰*⋻-1804⨎⋰*⋻0=⋰*⋻0","layer":2},{"info":"⊙↵-⋰*⋻0=⋰*⋻0","layer":1},{"info":"⫛⫱⨽⋰*⋻0=⋰*⋻0","layer":0}]}
{"id":560,"expression_no_base_symbol":"($3131$⋓$1237$≧⫂∧($2642$⩷∴$3934$)⊭∹↮)⨳⩥⨓($2586$⩷∴$1422$⫸⊐$7261$⨟⋌⩍$1767$)⪢(($1082$↪⪝)⪨≂($1076$⨵⪆$2281$))","expression":"(⋰*⋻2397⋓⋰*⋻A25≧⫂∧(⋰*⋻1A92⩷∴⋰*⋻2A57)⊭∹↮)⨳⩥⨓(⋰*⋻1A41⩷∴⋰*⋻1083⫸⊐⋰*⋻5501⨟⋌⩍⋰*⋻1367)⪢((⋰*⋻8A4↪⪝)⪨≂(⋰*⋻899⨵⪆⋰*⋻1794))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":766,"operation_count":12,"complexity_ratio":63.833333333333336,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3131,"base":11},"right_expr":{"type":"numeric_atoms","value":1237,"base":11}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2642,"base":11},"right_expr":{"type":"numeric_atoms","value":3934,"base":11}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2586,"base":11},"right_expr":{"type":"numeric_atoms","value":1422,"base":11}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":7261,"base":11},"right_expr":{"type":"numeric_atoms","value":1767,"base":11}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1082,"base":11}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1076,"base":11},"right_expr":{"type":"numeric_atoms","value":2281,"base":11}}}}},"used_operators":["nCS4ZIUYfx","xNBdhnnwKq","Ph9nP6C5qx","T2fj7uvVaJ","9FxExcQeMw","dWAJyo7jo9","mqXw5SEYmG","rGHVDoGpnC","sdazOOVcIp","l07mrZUIn9","2DQ55sFlQl"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","k8jYdgA6NY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3131","layer":4},{"info":"number node, value=1237","layer":4},{"info":"compute binary expreesion, left_input=3131, right_input=1237, op_id = T2fj7uvVaJ binary_op_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=2642","layer":4},{"info":"number node, value=3934","layer":4},{"info":"compute binary expreesion, left_input=2642, right_input=3934, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2616","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-2616, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2616","layer":2},{"info":"compute unary expreesion, input=2616, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=5232","layer":1},{"info":"number node, value=2586","layer":4},{"info":"number node, value=1422","layer":4},{"info":"compute binary expreesion, left_input=2586, right_input=1422, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2296","layer":3},{"info":"number node, value=7261","layer":4},{"info":"number node, value=1767","layer":4},{"info":"compute binary expreesion, left_input=7261, right_input=1767, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=2296, 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=1082","layer":4},{"info":"compute unary expreesion, input=1082, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=66198924","layer":3},{"info":"number node, value=1076","layer":4},{"info":"number node, value=2281","layer":4},{"info":"compute binary expreesion, left_input=1076, right_input=2281, 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=66198924, 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=132397630","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=132397630, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=5232, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻2397⋓⋰*⋻A25≧⫂∧(⋰*⋻1A92⩷∴⋰*⋻2A57)⊭∹↮)⨳⩥⨓(⋰*⋻1A41⩷∴⋰*⋻1083⫸⊐⋰*⋻5501⨟⋌⩍⋰*⋻1367)⪢((⋰*⋻8A4↪⪝)⪨≂(⋰*⋻899⨵⪆⋰*⋻1794))=NaN","reverse_text":"NaN=(⋰*⋻2397⋓⋰*⋻A25≧⫂∧(⋰*⋻1A92⩷∴⋰*⋻2A57)⊭∹↮)⨳⩥⨓(⋰*⋻1A41⩷∴⋰*⋻1083⫸⊐⋰*⋻5501⨟⋌⩍⋰*⋻1367)⪢((⋰*⋻8A4↪⪝)⪨≂(⋰*⋻899⨵⪆⋰*⋻1794))","cot":[{"info":"⋰*⋻2397⋓⋰*⋻A25=⋰*⋻0","layer":3},{"info":"⋰*⋻1A92⩷∴⋰*⋻2A57=⋰*⋻-1A69","layer":3},{"info":"⋰*⋻0≧⫂∧⋰*⋻-1A69=⋰*⋻1A69","layer":2},{"info":"⋰*⋻1A69⊭∹↮=⋰*⋻3A27","layer":1},{"info":"⋰*⋻1A41⩷∴⋰*⋻1083=⋰*⋻17A8","layer":3},{"info":"⋰*⋻5501⨟⋌⩍⋰*⋻1367=NaN","layer":3},{"info":"⋰*⋻17A8⫸⊐NaN=NaN","layer":2},{"info":"⋰*⋻8A4↪⪝=⋰*⋻34405260","layer":3},{"info":"⋰*⋻899⨵⪆⋰*⋻1794=⋰*⋻136","layer":3},{"info":"⋰*⋻34405260⪨≂⋰*⋻136=⋰*⋻6880A332","layer":2},{"info":"NaN⪢⋰*⋻6880A332=NaN","layer":1},{"info":"⋰*⋻3A27⨳⩥⨓NaN=NaN","layer":0}]}
{"id":561,"expression_no_base_symbol":"($3835$⨰$1198$%$2146$∼$4824$)⋥≓≎($5575$+⇶⊼$3363$)⪛($2701$/$1938$)≣⋋","expression":"(⋰*⋻2977⨰⋰*⋻99A%⋰*⋻1681∼⋰*⋻3696)⋥≓≎(⋰*⋻4209+⇶⊼⋰*⋻2588)⪛(⋰*⋻2036/⋰*⋻1502)≣⋋","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":129,"operation_count":8,"complexity_ratio":16.125,"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":3835,"base":11},"right_expr":{"type":"numeric_atoms","value":1198,"base":11}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2146,"base":11},"right_expr":{"type":"numeric_atoms","value":4824,"base":11}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":5575,"base":11},"right_expr":{"type":"numeric_atoms","value":3363,"base":11}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2701,"base":11},"right_expr":{"type":"numeric_atoms","value":1938,"base":11}}}}},"used_operators":["Tcnh7f0tEr","Qy55tPpLXF","k8jYdgA6NY","eewbuw0ToL","DyGG3AbaNP","uFcxV4UQCh","TpPTUOHfaN","XhwjNDsVaA"],"dependent_operators":["dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","AHs5Up7iyr","rysDP5nf3Z"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=3835","layer":4},{"info":"number node, value=1198","layer":4},{"info":"compute binary expreesion, left_input=3835, right_input=1198, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2647","layer":3},{"info":"number node, value=2146","layer":4},{"info":"number node, value=4824","layer":4},{"info":"compute binary expreesion, left_input=2146, right_input=4824, 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=2647, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=5575","layer":4},{"info":"number node, value=3363","layer":4},{"info":"compute binary expreesion, left_input=5575, right_input=3363, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=2701","layer":4},{"info":"number node, value=1938","layer":4},{"info":"compute binary expreesion, left_input=2701, right_input=1938, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻2977⨰⋰*⋻99A%⋰*⋻1681∼⋰*⋻3696)⋥≓≎(⋰*⋻4209+⇶⊼⋰*⋻2588)⪛(⋰*⋻2036/⋰*⋻1502)≣⋋=⋰*⋻0","reverse_text":"⋰*⋻0=(⋰*⋻2977⨰⋰*⋻99A%⋰*⋻1681∼⋰*⋻3696)⋥≓≎(⋰*⋻4209+⇶⊼⋰*⋻2588)⪛(⋰*⋻2036/⋰*⋻1502)≣⋋","cot":[{"info":"⋰*⋻2977⨰⋰*⋻99A=⋰*⋻1A97","layer":3},{"info":"⋰*⋻1681∼⋰*⋻3696=NaN","layer":3},{"info":"⋰*⋻1A97%NaN=NaN","layer":2},{"info":"⋰*⋻4209+⇶⊼⋰*⋻2588=NaN","layer":3},{"info":"⋰*⋻2036/⋰*⋻1502=⋰*⋻1","layer":3},{"info":"NaN⪛⋰*⋻1=NaN","layer":2},{"info":"NaN⋥≓≎NaN=⋰*⋻61","layer":1},{"info":"⋰*⋻61≣⋋=⋰*⋻0","layer":0}]}
{"id":562,"expression_no_base_symbol":"($8164$⨳⩥⨓$8637$⪒$6102$⨐⩸⫘$2460$)⨸⪁($2915$⋥≓≎$1704$)∼($2519$⫸⊐$1430$)↪⪝","expression":"(⋰*⋻6152⨳⩥⨓⋰*⋻6542⪒⋰*⋻4648⨐⩸⫘⋰*⋻1937)⨸⪁(⋰*⋻2210⋥≓≎⋰*⋻130A)∼(⋰*⋻1990⫸⊐⋰*⋻1090)↪⪝","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":55,"operation_count":8,"complexity_ratio":6.875,"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":8164,"base":11},"right_expr":{"type":"numeric_atoms","value":8637,"base":11}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":6102,"base":11},"right_expr":{"type":"numeric_atoms","value":2460,"base":11}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2915,"base":11},"right_expr":{"type":"numeric_atoms","value":1704,"base":11}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2519,"base":11},"right_expr":{"type":"numeric_atoms","value":1430,"base":11}}}}},"used_operators":["l07mrZUIn9","g55IO6H4Gj","f6k1SAg4EE","nCS4ZIUYfx","fu6greOZ01","DyGG3AbaNP","Qy55tPpLXF","mqXw5SEYmG"],"dependent_operators":["9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","3ViojmjbAp","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=8164","layer":4},{"info":"number node, value=8637","layer":4},{"info":"compute binary expreesion, left_input=8164, right_input=8637, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=473","layer":3},{"info":"number node, value=6102","layer":4},{"info":"number node, value=2460","layer":4},{"info":"compute binary expreesion, left_input=6102, 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":3},{"info":"compute binary expreesion, left_input=473, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=2915","layer":4},{"info":"number node, value=1704","layer":4},{"info":"compute binary expreesion, left_input=2915, right_input=1704, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=526","layer":3},{"info":"number node, value=2519","layer":4},{"info":"number node, value=1430","layer":4},{"info":"compute binary expreesion, left_input=2519, right_input=1430, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5595","layer":3},{"info":"compute binary expreesion, left_input=526, right_input=5595, 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 = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻6152⨳⩥⨓⋰*⋻6542⪒⋰*⋻4648⨐⩸⫘⋰*⋻1937)⨸⪁(⋰*⋻2210⋥≓≎⋰*⋻130A)∼(⋰*⋻1990⫸⊐⋰*⋻1090)↪⪝=NaN","reverse_text":"NaN=(⋰*⋻6152⨳⩥⨓⋰*⋻6542⪒⋰*⋻4648⨐⩸⫘⋰*⋻1937)⨸⪁(⋰*⋻2210⋥≓≎⋰*⋻130A)∼(⋰*⋻1990⫸⊐⋰*⋻1090)↪⪝","cot":[{"info":"⋰*⋻6152⨳⩥⨓⋰*⋻6542=⋰*⋻3A0","layer":3},{"info":"⋰*⋻4648⨐⩸⫘⋰*⋻1937=NaN","layer":3},{"info":"⋰*⋻3A0⪒NaN=NaN","layer":2},{"info":"⋰*⋻2210⋥≓≎⋰*⋻130A=⋰*⋻439","layer":3},{"info":"⋰*⋻1990⫸⊐⋰*⋻1090=⋰*⋻4227","layer":3},{"info":"⋰*⋻439∼⋰*⋻4227=NaN","layer":2},{"info":"NaN⨸⪁NaN=NaN","layer":1},{"info":"NaN↪⪝=NaN","layer":0}]}
{"id":563,"expression_no_base_symbol":"↔(($4209$⫡⨏$1087$)⋓(⩦⩻⨪$1129$)+$3788$⩚⊴⇥$1162$≎⊠⪸(↔$1847$))","expression":"↔((⋰*⋻3187⫡⨏⋰*⋻8A9)⋓(⩦⩻⨪⋰*⋻937)+⋰*⋻2934⩚⊴⇥⋰*⋻967≎⊠⪸(↔⋰*⋻142A))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":52,"operation_count":8,"complexity_ratio":6.5,"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":4209,"base":11},"right_expr":{"type":"numeric_atoms","value":1087,"base":11}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1129,"base":11}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3788,"base":11},"right_expr":{"type":"numeric_atoms","value":1162,"base":11}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1847,"base":11}}}}},"used_operators":["ruOEQAzv1W","W4YGzv6Whe","T2fj7uvVaJ","QMFrweE19q","2td37pGCOC","bJkvcejdHO","NTOWxs364D"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⋰*⋻178","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4209","layer":4},{"info":"number node, value=1087","layer":4},{"info":"compute binary expreesion, left_input=4209, right_input=1087, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=24002","layer":3},{"info":"number node, value=1129","layer":4},{"info":"compute unary expreesion, input=1129, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1129","layer":3},{"info":"compute binary expreesion, left_input=24002, right_input=1129, op_id = T2fj7uvVaJ binary_op_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=3788","layer":4},{"info":"number node, value=1162","layer":4},{"info":"compute binary expreesion, left_input=3788, right_input=1162, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5071","layer":3},{"info":"number node, value=1847","layer":4},{"info":"compute unary expreesion, input=1847, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1574","layer":3},{"info":"compute binary expreesion, left_input=-5071, right_input=-1574, 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=0, right_input=67, op_id = W4YGzv6Whe binary_op_definition= 'None', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=206","layer":0}],"base":11,"result_base":11,"text":"↔((⋰*⋻3187⫡⨏⋰*⋻8A9)⋓(⩦⩻⨪⋰*⋻937)+⋰*⋻2934⩚⊴⇥⋰*⋻967≎⊠⪸(↔⋰*⋻142A))=⋰*⋻178","reverse_text":"⋰*⋻178=↔((⋰*⋻3187⫡⨏⋰*⋻8A9)⋓(⩦⩻⨪⋰*⋻937)+⋰*⋻2934⩚⊴⇥⋰*⋻967≎⊠⪸(↔⋰*⋻142A))","cot":[{"info":"⋰*⋻3187⫡⨏⋰*⋻8A9=⋰*⋻17040","layer":3},{"info":"⩦⩻⨪⋰*⋻937=⋰*⋻937","layer":3},{"info":"⋰*⋻17040⋓⋰*⋻937=⋰*⋻0","layer":2},{"info":"⋰*⋻2934⩚⊴⇥⋰*⋻967=⋰*⋻-38A0","layer":3},{"info":"↔⋰*⋻142A=⋰*⋻-1201","layer":3},{"info":"⋰*⋻-38A0≎⊠⪸⋰*⋻-1201=⋰*⋻61","layer":2},{"info":"⋰*⋻0+⋰*⋻61=⋰*⋻61","layer":1},{"info":"↔⋰*⋻61=⋰*⋻178","layer":0}]}
{"id":564,"expression_no_base_symbol":"≦∁$6621$⊴$1599$∑⇟⊟$6312$⪢$7285$⨽($1245$⋥≓≎$5058$)⊴($5486$⩤)","expression":"≦∁⋰*⋻4A7A⊴⋰*⋻1224∑⇟⊟⋰*⋻4819⪢⋰*⋻5523⨽(⋰*⋻A32⋥≓≎⋰*⋻3889)⊴(⋰*⋻4138⩤)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":19419,"operation_count":8,"complexity_ratio":2427.375,"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":6621,"base":11},"right_expr":{"type":"numeric_atoms","value":1599,"base":11}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":6312,"base":11},"right_expr":{"type":"numeric_atoms","value":7285,"base":11}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1245,"base":11},"right_expr":{"type":"numeric_atoms","value":5058,"base":11}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":5486,"base":11}}}}},"used_operators":["9ICcGScMcE","8HhzD0ZcuI","U7g4x0WXJJ","Nsiff2A1zJ","dWAJyo7jo9","Qy55tPpLXF","Z2TMIBDE3Q"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","dWAJyo7jo9","14qkJME0vr","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6621","layer":4},{"info":"number node, value=1599","layer":4},{"info":"compute binary expreesion, left_input=6621, right_input=1599, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=6312","layer":4},{"info":"number node, value=7285","layer":4},{"info":"compute binary expreesion, left_input=6312, right_input=7285, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1245","layer":4},{"info":"number node, value=5058","layer":4},{"info":"compute binary expreesion, left_input=1245, right_input=5058, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=8904","layer":3},{"info":"number node, value=5486","layer":4},{"info":"compute unary expreesion, input=5486, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-5486","layer":3},{"info":"compute binary expreesion, left_input=8904, right_input=-5486, 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 = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*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":11,"result_base":11,"text":"≦∁⋰*⋻4A7A⊴⋰*⋻1224∑⇟⊟⋰*⋻4819⪢⋰*⋻5523⨽(⋰*⋻A32⋥≓≎⋰*⋻3889)⊴(⋰*⋻4138⩤)=NaN","reverse_text":"NaN=≦∁⋰*⋻4A7A⊴⋰*⋻1224∑⇟⊟⋰*⋻4819⪢⋰*⋻5523⨽(⋰*⋻A32⋥≓≎⋰*⋻3889)⊴(⋰*⋻4138⩤)","cot":[{"info":"⋰*⋻4A7A⊴⋰*⋻1224=NaN","layer":3},{"info":"⋰*⋻4819⪢⋰*⋻5523=NaN","layer":3},{"info":"NaN∑⇟⊟NaN=NaN","layer":2},{"info":"⋰*⋻A32⋥≓≎⋰*⋻3889=⋰*⋻6765","layer":3},{"info":"⋰*⋻4138⩤=⋰*⋻-4138","layer":3},{"info":"⋰*⋻6765⊴⋰*⋻-4138=NaN","layer":2},{"info":"NaN⨽NaN=NaN","layer":1},{"info":"≦∁NaN=NaN","layer":0}]}
{"id":565,"expression_no_base_symbol":"(↩$1266$⪘⫢$1045$⋥≓≎($1197$⋫))+(⨰⫟⨤$1076$≹⇙⪍$1228$)⩨(↽≂($7446$⊭↱$1322$))","expression":"(↩⋰*⋻A51⪘⫢⋰*⋻870⋥≓≎(⋰*⋻999⋫))+(⨰⫟⨤⋰*⋻899≹⇙⪍⋰*⋻A17)⩨(↽≂(⋰*⋻565A⊭↱⋰*⋻AA2))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1279,"operation_count":10,"complexity_ratio":127.9,"tree":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1266,"base":11},"right_expr":{"type":"numeric_atoms","value":1045,"base":11}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1197,"base":11}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1076,"base":11},"right_expr":{"type":"numeric_atoms","value":1228,"base":11}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":7446,"base":11},"right_expr":{"type":"numeric_atoms","value":1322,"base":11}}}}},"used_operators":["W4YGzv6Whe","jLgFTUHLKL","Qy55tPpLXF","oacrs7FA3X","JL8yIekQnl","2DlMacCsIx","Tw270M8GLb","AHs5Up7iyr","u6S6b8DprG","COABgblf1C"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","tmPS8pqC7x","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1266","layer":4},{"info":"number node, value=1045","layer":4},{"info":"compute binary expreesion, left_input=1266, right_input=1045, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2408","layer":3},{"info":"number node, value=1197","layer":4},{"info":"compute unary expreesion, input=1197, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1197","layer":3},{"info":"compute binary expreesion, left_input=2408, right_input=1197, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=19","layer":2},{"info":"compute unary expreesion, input=19, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=4616","layer":1},{"info":"number node, value=1076","layer":4},{"info":"number node, value=1228","layer":4},{"info":"compute binary expreesion, left_input=1076, right_input=1228, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=7446","layer":4},{"info":"number node, value=1322","layer":4},{"info":"compute binary expreesion, left_input=7446, right_input=1322, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-12243","layer":3},{"info":"compute unary expreesion, input=-12243, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=24486","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=24486, 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=4616, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"(↩⋰*⋻A51⪘⫢⋰*⋻870⋥≓≎(⋰*⋻999⋫))+(⨰⫟⨤⋰*⋻899≹⇙⪍⋰*⋻A17)⩨(↽≂(⋰*⋻565A⊭↱⋰*⋻AA2))=NaN","reverse_text":"NaN=(↩⋰*⋻A51⪘⫢⋰*⋻870⋥≓≎(⋰*⋻999⋫))+(⨰⫟⨤⋰*⋻899≹⇙⪍⋰*⋻A17)⩨(↽≂(⋰*⋻565A⊭↱⋰*⋻AA2))","cot":[{"info":"⋰*⋻A51⪘⫢⋰*⋻870=⋰*⋻189A","layer":3},{"info":"⋰*⋻999⋫=⋰*⋻999","layer":3},{"info":"⋰*⋻189A⋥≓≎⋰*⋻999=⋰*⋻18","layer":2},{"info":"↩⋰*⋻18=⋰*⋻3517","layer":1},{"info":"⋰*⋻899≹⇙⪍⋰*⋻A17=NaN","layer":3},{"info":"⨰⫟⨤NaN=NaN","layer":2},{"info":"⋰*⋻565A⊭↱⋰*⋻AA2=⋰*⋻-9220","layer":3},{"info":"↽≂⋰*⋻-9220=⋰*⋻17440","layer":2},{"info":"NaN⩨⋰*⋻17440=NaN","layer":1},{"info":"⋰*⋻3517+NaN=NaN","layer":0}]}
{"id":566,"expression_no_base_symbol":"(($3196$∼$1036$)⪢($1859$⨪↰⇹$1031$)⋓($5214$⋝⋈⪟$6341$≧⫂∧($2292$↙$1977$)))⊴(⨵≀≌(($5851$⊦⊿)⊘))","expression":"((⋰*⋻2446∼⋰*⋻862)⪢(⋰*⋻1440⨪↰⇹⋰*⋻858)⋓(⋰*⋻3A10⋝⋈⪟⋰*⋻4845≧⫂∧(⋰*⋻17A4↙⋰*⋻1538)))⊴(⨵≀≌((⋰*⋻443A⊦⊿)⊘))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5820,"operation_count":11,"complexity_ratio":529.0909090909091,"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":3196,"base":11},"right_expr":{"type":"numeric_atoms","value":1036,"base":11}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1859,"base":11},"right_expr":{"type":"numeric_atoms","value":1031,"base":11}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":5214,"base":11},"right_expr":{"type":"numeric_atoms","value":6341,"base":11}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2292,"base":11},"right_expr":{"type":"numeric_atoms","value":1977,"base":11}}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":5851,"base":11}}}}},"used_operators":["Nsiff2A1zJ","T2fj7uvVaJ","dWAJyo7jo9","DyGG3AbaNP","tmPS8pqC7x","Ph9nP6C5qx","2DDjHMKMc0","yyfyN0ffXY","srAu1WTS94","gu96TGCTMs","14qkJME0vr"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","k8jYdgA6NY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⋰*⋻-72","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3196","layer":4},{"info":"number node, value=1036","layer":4},{"info":"compute binary expreesion, left_input=3196, 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":"number node, value=1859","layer":4},{"info":"number node, value=1031","layer":4},{"info":"compute binary expreesion, left_input=1859, right_input=1031, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1859","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1859, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=5214","layer":4},{"info":"number node, value=6341","layer":4},{"info":"compute binary expreesion, left_input=5214, right_input=6341, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5214","layer":3},{"info":"number node, value=2292","layer":4},{"info":"number node, value=1977","layer":4},{"info":"compute binary expreesion, left_input=2292, 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=5214, right_input=-5931, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=11145","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=11145, op_id = T2fj7uvVaJ binary_op_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=5851","layer":4},{"info":"compute unary expreesion, input=5851, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-17632","layer":3},{"info":"compute unary expreesion, input=-17632, 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 = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=1","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=1, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻2446∼⋰*⋻862)⪢(⋰*⋻1440⨪↰⇹⋰*⋻858)⋓(⋰*⋻3A10⋝⋈⪟⋰*⋻4845≧⫂∧(⋰*⋻17A4↙⋰*⋻1538)))⊴(⨵≀≌((⋰*⋻443A⊦⊿)⊘))=⋰*⋻-72","reverse_text":"⋰*⋻-72=((⋰*⋻2446∼⋰*⋻862)⪢(⋰*⋻1440⨪↰⇹⋰*⋻858)⋓(⋰*⋻3A10⋝⋈⪟⋰*⋻4845≧⫂∧(⋰*⋻17A4↙⋰*⋻1538)))⊴(⨵≀≌((⋰*⋻443A⊦⊿)⊘))","cot":[{"info":"⋰*⋻2446∼⋰*⋻862=NaN","layer":3},{"info":"⋰*⋻1440⨪↰⇹⋰*⋻858=⋰*⋻1440","layer":3},{"info":"NaN⪢⋰*⋻1440=NaN","layer":2},{"info":"⋰*⋻3A10⋝⋈⪟⋰*⋻4845=⋰*⋻3A10","layer":3},{"info":"⋰*⋻17A4↙⋰*⋻1538=⋰*⋻-4502","layer":3},{"info":"⋰*⋻3A10≧⫂∧⋰*⋻-4502=⋰*⋻8412","layer":2},{"info":"NaN⋓⋰*⋻8412=⋰*⋻0","layer":1},{"info":"⋰*⋻443A⊦⊿=⋰*⋻-1227A","layer":3},{"info":"⋰*⋻-1227A⊘=⋰*⋻-1","layer":2},{"info":"⨵≀≌⋰*⋻-1=⋰*⋻1","layer":1},{"info":"⋰*⋻0⊴⋰*⋻1=⋰*⋻-72","layer":0}]}
{"id":567,"expression_no_base_symbol":"((($2904$⩠)⋫)⩚⊴⇥((⨞⊢$3801$)⨽($3325$⫸⊐$1412$)))⨰((⨞⊢($6689$⪄$5775$))⨽($3762$⨎$8380$)⨰(⊄⩳↩$1898$))","expression":"(((⋰*⋻2200⩠)⋫)⩚⊴⇥((⨞⊢⋰*⋻2946)⨽(⋰*⋻2553⫸⊐⋰*⋻1074)))⨰((⨞⊢(⋰*⋻5031⪄⋰*⋻4380))⨽(⋰*⋻2910⨎⋰*⋻6329)⨰(⊄⩳↩⋰*⋻1476))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1013141,"operation_count":13,"complexity_ratio":77933.92307692308,"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":2904,"base":11}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":3801,"base":11}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3325,"base":11},"right_expr":{"type":"numeric_atoms","value":1412,"base":11}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":6689,"base":11},"right_expr":{"type":"numeric_atoms","value":5775,"base":11}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3762,"base":11},"right_expr":{"type":"numeric_atoms","value":8380,"base":11}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1898,"base":11}}}}},"used_operators":["eewbuw0ToL","NTOWxs364D","JL8yIekQnl","sJAwomhLZr","8HhzD0ZcuI","xUOZtlo3hN","mqXw5SEYmG","SUmda5xLS4","rJVOvQCfKK","8w2t5hMYqp"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","tmPS8pqC7x","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"Inf","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2904","layer":4},{"info":"compute unary expreesion, input=2904, 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 = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=0","layer":2},{"info":"number node, value=3801","layer":4},{"info":"compute unary expreesion, input=3801, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-3975","layer":3},{"info":"number node, value=3325","layer":4},{"info":"number node, value=1412","layer":4},{"info":"compute binary expreesion, left_input=3325, right_input=1412, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5523","layer":3},{"info":"compute binary expreesion, left_input=-3975, right_input=5523, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-47417130","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-47417130, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=47417009","layer":1},{"info":"number node, value=6689","layer":4},{"info":"number node, value=5775","layer":4},{"info":"compute binary expreesion, left_input=6689, right_input=5775, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1009161","layer":3},{"info":"compute unary expreesion, input=-1009161, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=1008987","layer":2},{"info":"number node, value=3762","layer":4},{"info":"number node, value=8380","layer":4},{"info":"compute binary expreesion, left_input=3762, right_input=8380, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=8380","layer":3},{"info":"number node, value=1898","layer":4},{"info":"compute unary expreesion, input=1898, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-5694","layer":3},{"info":"compute binary expreesion, left_input=8380, right_input=-5694, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=14084","layer":2},{"info":"compute binary expreesion, left_input=1008987, right_input=14084, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":1},{"info":"compute binary expreesion, left_input=47417009, right_input=-inf, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=inf","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻2200⩠)⋫)⩚⊴⇥((⨞⊢⋰*⋻2946)⨽(⋰*⋻2553⫸⊐⋰*⋻1074)))⨰((⨞⊢(⋰*⋻5031⪄⋰*⋻4380))⨽(⋰*⋻2910⨎⋰*⋻6329)⨰(⊄⩳↩⋰*⋻1476))=Inf","reverse_text":"Inf=(((⋰*⋻2200⩠)⋫)⩚⊴⇥((⨞⊢⋰*⋻2946)⨽(⋰*⋻2553⫸⊐⋰*⋻1074)))⨰((⨞⊢(⋰*⋻5031⪄⋰*⋻4380))⨽(⋰*⋻2910⨎⋰*⋻6329)⨰(⊄⩳↩⋰*⋻1476))","cot":[{"info":"⋰*⋻2200⩠=⋰*⋻0","layer":3},{"info":"⋰*⋻0⋫=⋰*⋻0","layer":2},{"info":"⨞⊢⋰*⋻2946=⋰*⋻-2A94","layer":3},{"info":"⋰*⋻2553⫸⊐⋰*⋻1074=⋰*⋻4171","layer":3},{"info":"⋰*⋻-2A94⨽⋰*⋻4171=⋰*⋻-24847212","layer":2},{"info":"⋰*⋻0⩚⊴⇥⋰*⋻-24847212=⋰*⋻24847112","layer":1},{"info":"⋰*⋻5031⪄⋰*⋻4380=⋰*⋻-62A21A","layer":3},{"info":"⨞⊢⋰*⋻-62A21A=⋰*⋻62A081","layer":2},{"info":"⋰*⋻2910⨎⋰*⋻6329=⋰*⋻6329","layer":3},{"info":"⊄⩳↩⋰*⋻1476=⋰*⋻-4307","layer":3},{"info":"⋰*⋻6329⨰⋰*⋻-4307=⋰*⋻A644","layer":2},{"info":"⋰*⋻62A081⨽⋰*⋻A644=-Inf","layer":1},{"info":"⋰*⋻24847112⨰-Inf=Inf","layer":0}]}
{"id":568,"expression_no_base_symbol":"(+⊝⨔(($1035$⇼⇔∾$3627$)⫌⩹⨱))+(↣≠⋷($3060$⋓$6056$⨽$1318$≭$4452$))","expression":"(+⊝⨔((⋰*⋻861⇼⇔∾⋰*⋻27A8)⫌⩹⨱))+(↣≠⋷(⋰*⋻2332⋓⋰*⋻4606⨽⋰*⋻A99≭⋰*⋻3388))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":77,"operation_count":8,"complexity_ratio":9.625,"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":1035,"base":11},"right_expr":{"type":"numeric_atoms","value":3627,"base":11}}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3060,"base":11},"right_expr":{"type":"numeric_atoms","value":6056,"base":11}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1318,"base":11},"right_expr":{"type":"numeric_atoms","value":4452,"base":11}}}}},"used_operators":["W4YGzv6Whe","DhbWaqg5eL","EBcxylXtPf","tifHPKVTfV","Asc51vEJeQ","8HhzD0ZcuI","T2fj7uvVaJ","rxpJgHHUmx"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=1035","layer":4},{"info":"number node, value=3627","layer":4},{"info":"compute binary expreesion, left_input=1035, right_input=3627, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=2592","layer":3},{"info":"compute unary expreesion, input=2592, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=6585","layer":2},{"info":"compute unary expreesion, input=6585, 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=3060","layer":4},{"info":"number node, value=6056","layer":4},{"info":"compute binary expreesion, left_input=3060, right_input=6056, op_id = T2fj7uvVaJ binary_op_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=1318","layer":4},{"info":"number node, value=4452","layer":4},{"info":"compute binary expreesion, left_input=1318, right_input=4452, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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 = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1522, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"(+⊝⨔((⋰*⋻861⇼⇔∾⋰*⋻27A8)⫌⩹⨱))+(↣≠⋷(⋰*⋻2332⋓⋰*⋻4606⨽⋰*⋻A99≭⋰*⋻3388))=NaN","reverse_text":"NaN=(+⊝⨔((⋰*⋻861⇼⇔∾⋰*⋻27A8)⫌⩹⨱))+(↣≠⋷(⋰*⋻2332⋓⋰*⋻4606⨽⋰*⋻A99≭⋰*⋻3388))","cot":[{"info":"⋰*⋻861⇼⇔∾⋰*⋻27A8=⋰*⋻1A47","layer":3},{"info":"⋰*⋻1A47⫌⩹⨱=⋰*⋻4A47","layer":2},{"info":"+⊝⨔⋰*⋻4A47=⋰*⋻1164","layer":1},{"info":"⋰*⋻2332⋓⋰*⋻4606=⋰*⋻0","layer":3},{"info":"⋰*⋻A99≭⋰*⋻3388=NaN","layer":3},{"info":"⋰*⋻0⨽NaN=NaN","layer":2},{"info":"↣≠⋷NaN=NaN","layer":1},{"info":"⋰*⋻1164+NaN=NaN","layer":0}]}
{"id":569,"expression_no_base_symbol":"(-(⊄⩳↩($2982$⋳⪒$1172$)))⩚⊴⇥(↔((⨰⫟⨤$1147$)⪠⩆⊳))","expression":"(-(⊄⩳↩(⋰*⋻2271⋳⪒⋰*⋻976)))⩚⊴⇥(↔((⨰⫟⨤⋰*⋻953)⪠⩆⊳))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3790,"operation_count":7,"complexity_ratio":541.4285714285714,"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":2982,"base":11},"right_expr":{"type":"numeric_atoms","value":1172,"base":11}}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1147,"base":11}}}}},"used_operators":["NTOWxs364D","t8gj7n24qd","8w2t5hMYqp","12rbrZMWeM","ruOEQAzv1W","JLbD19bQDL","Tw270M8GLb"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"⋰*⋻-A165","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2982","layer":4},{"info":"number node, value=1172","layer":4},{"info":"compute binary expreesion, left_input=2982, right_input=1172, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=4505","layer":3},{"info":"compute unary expreesion, input=4505, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-13515","layer":2},{"info":"compute unary expreesion, input=-13515, op_id = t8gj7n24qd, unary_op_definition = 'None', output=13515","layer":1},{"info":"number node, value=1147","layer":4},{"info":"compute unary expreesion, input=1147, 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 = 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":"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=13515, right_input=-134, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-13502","layer":0}],"base":11,"result_base":11,"text":"(-(⊄⩳↩(⋰*⋻2271⋳⪒⋰*⋻976)))⩚⊴⇥(↔((⨰⫟⨤⋰*⋻953)⪠⩆⊳))=⋰*⋻-A165","reverse_text":"⋰*⋻-A165=(-(⊄⩳↩(⋰*⋻2271⋳⪒⋰*⋻976)))⩚⊴⇥(↔((⨰⫟⨤⋰*⋻953)⪠⩆⊳))","cot":[{"info":"⋰*⋻2271⋳⪒⋰*⋻976=⋰*⋻3426","layer":3},{"info":"⊄⩳↩⋰*⋻3426=⋰*⋻-A177","layer":2},{"info":"-⋰*⋻-A177=⋰*⋻A177","layer":1},{"info":"⨰⫟⨤⋰*⋻953=NaN","layer":3},{"info":"NaN⪠⩆⊳=NaN","layer":2},{"info":"↔NaN=⋰*⋻-112","layer":1},{"info":"⋰*⋻A177⩚⊴⇥⋰*⋻-112=⋰*⋻-A165","layer":0}]}
{"id":570,"expression_no_base_symbol":"+⊝⨔(⨵≀≌((+⊝⨔$2335$)⋷($3757$⩤)))","expression":"+⊝⨔(⨵≀≌((+⊝⨔⋰*⋻1833)⋷(⋰*⋻2906⩤)))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":9125,"operation_count":5,"complexity_ratio":1825.0,"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":2335,"base":11}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":3757,"base":11}}}}},"used_operators":["DhbWaqg5eL","srAu1WTS94","23Mk6UjR3U","Z2TMIBDE3Q"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⋰*⋻1164","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2335","layer":4},{"info":"compute unary expreesion, input=2335, 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=3757","layer":4},{"info":"compute unary expreesion, input=3757, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-3757","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=-3757, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-9036","layer":2},{"info":"compute unary expreesion, input=-9036, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=81649296","layer":1},{"info":"compute unary expreesion, input=81649296, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":0}],"base":11,"result_base":11,"text":"+⊝⨔(⨵≀≌((+⊝⨔⋰*⋻1833)⋷(⋰*⋻2906⩤)))=⋰*⋻1164","reverse_text":"⋰*⋻1164=+⊝⨔(⨵≀≌((+⊝⨔⋰*⋻1833)⋷(⋰*⋻2906⩤)))","cot":[{"info":"+⊝⨔⋰*⋻1833=⋰*⋻1164","layer":3},{"info":"⋰*⋻2906⩤=⋰*⋻-2906","layer":3},{"info":"⋰*⋻1164⋷⋰*⋻-2906=⋰*⋻-6875","layer":2},{"info":"⨵≀≌⋰*⋻-6875=⋰*⋻420A8363","layer":1},{"info":"+⊝⨔⋰*⋻420A8363=⋰*⋻1164","layer":0}]}
{"id":571,"expression_no_base_symbol":"⋗⩬⋾(($6652$⇋≉)≎⊠⪸($2167$⪒$4162$)⨸⪁(↩$4091$⫥∨⫟$2689$))","expression":"⋗⩬⋾((⋰*⋻4AA8⇋≉)≎⊠⪸(⋰*⋻16A0⪒⋰*⋻3144)⨸⪁(↩⋰*⋻308A⫥∨⫟⋰*⋻2025))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":196,"operation_count":7,"complexity_ratio":28.0,"tree":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":6652,"base":11}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2167,"base":11},"right_expr":{"type":"numeric_atoms","value":4162,"base":11}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":4091,"base":11},"right_expr":{"type":"numeric_atoms","value":2689,"base":11}}}}},"used_operators":["DpFCA1CohY","g55IO6H4Gj","bJkvcejdHO","XIabStNQrY","f6k1SAg4EE","jLgFTUHLKL","KYD54nUTWz"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6652","layer":4},{"info":"compute unary expreesion, input=6652, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=13206","layer":3},{"info":"number node, value=2167","layer":4},{"info":"number node, value=4162","layer":4},{"info":"compute binary expreesion, left_input=2167, right_input=4162, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6329","layer":3},{"info":"compute binary expreesion, left_input=13206, right_input=-6329, 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=4091","layer":4},{"info":"number node, value=2689","layer":4},{"info":"compute binary expreesion, left_input=4091, right_input=2689, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽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":"compute binary expreesion, left_input=67, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⋗⩬⋾((⋰*⋻4AA8⇋≉)≎⊠⪸(⋰*⋻16A0⪒⋰*⋻3144)⨸⪁(↩⋰*⋻308A⫥∨⫟⋰*⋻2025))=NaN","reverse_text":"NaN=⋗⩬⋾((⋰*⋻4AA8⇋≉)≎⊠⪸(⋰*⋻16A0⪒⋰*⋻3144)⨸⪁(↩⋰*⋻308A⫥∨⫟⋰*⋻2025))","cot":[{"info":"⋰*⋻4AA8⇋≉=⋰*⋻9A16","layer":3},{"info":"⋰*⋻16A0⪒⋰*⋻3144=⋰*⋻-4834","layer":3},{"info":"⋰*⋻9A16≎⊠⪸⋰*⋻-4834=⋰*⋻61","layer":2},{"info":"⋰*⋻308A⫥∨⫟⋰*⋻2025=NaN","layer":3},{"info":"↩NaN=NaN","layer":2},{"info":"⋰*⋻61⨸⪁NaN=NaN","layer":1},{"info":"⋗⩬⋾NaN=NaN","layer":0}]}
{"id":572,"expression_no_base_symbol":"((($1089$*$1207$)⊪)⩚⊴⇥(⇁⨣⪵(∥⊫$1519$)))⪛((⋗⩬⋾$2257$)⪛($1534$⨳⩥⨓$1199$)+⇶⊼(⨑⩽⪐($3348$≋⫹)))","expression":"(((⋰*⋻900*⋰*⋻9A8)⊪)⩚⊴⇥(⇁⨣⪵(∥⊫⋰*⋻1161)))⪛((⋗⩬⋾⋰*⋻1772)⪛(⋰*⋻1175⨳⩥⨓⋰*⋻9A0)+⇶⊼(⨑⩽⪐(⋰*⋻2574≋⫹)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1174,"operation_count":12,"complexity_ratio":97.83333333333333,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1089,"base":11},"right_expr":{"type":"numeric_atoms","value":1207,"base":11}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1519,"base":11}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":2257,"base":11}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1534,"base":11},"right_expr":{"type":"numeric_atoms","value":1199,"base":11}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":3348,"base":11}}}}},"used_operators":["uFcxV4UQCh","NTOWxs364D","zVYPLywUTj","9HNa5Wba9A","inkyxCbjAn","P8v4zCKN1o","TpPTUOHfaN","DpFCA1CohY","nCS4ZIUYfx","AF7qkfDlqP","N41Kp7NANJ"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1089","layer":4},{"info":"number node, value=1207","layer":4},{"info":"compute binary expreesion, left_input=1089, right_input=1207, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=1314423","layer":3},{"info":"compute unary expreesion, input=1314423, 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=1519","layer":4},{"info":"compute unary expreesion, input=1519, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2387","layer":3},{"info":"compute unary expreesion, input=2387, 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 = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"number node, value=2257","layer":4},{"info":"compute unary expreesion, input=2257, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-6771","layer":3},{"info":"number node, value=1534","layer":4},{"info":"number node, value=1199","layer":4},{"info":"compute binary expreesion, left_input=1534, right_input=1199, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-335","layer":3},{"info":"compute binary expreesion, left_input=-6771, right_input=-335, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-71","layer":2},{"info":"number node, value=3348","layer":4},{"info":"compute unary expreesion, input=3348, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-6696","layer":3},{"info":"compute unary expreesion, input=-6696, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=14181","layer":2},{"info":"compute binary expreesion, left_input=-71, right_input=14181, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻900*⋰*⋻9A8)⊪)⩚⊴⇥(⇁⨣⪵(∥⊫⋰*⋻1161)))⪛((⋗⩬⋾⋰*⋻1772)⪛(⋰*⋻1175⨳⩥⨓⋰*⋻9A0)+⇶⊼(⨑⩽⪐(⋰*⋻2574≋⫹)))=NaN","reverse_text":"NaN=(((⋰*⋻900*⋰*⋻9A8)⊪)⩚⊴⇥(⇁⨣⪵(∥⊫⋰*⋻1161)))⪛((⋗⩬⋾⋰*⋻1772)⪛(⋰*⋻1175⨳⩥⨓⋰*⋻9A0)+⇶⊼(⨑⩽⪐(⋰*⋻2574≋⫹)))","cot":[{"info":"⋰*⋻900*⋰*⋻9A8=⋰*⋻818600","layer":3},{"info":"⋰*⋻818600⊪=⋰*⋻0","layer":2},{"info":"∥⊫⋰*⋻1161=⋰*⋻1880","layer":3},{"info":"⇁⨣⪵⋰*⋻1880=NaN","layer":2},{"info":"⋰*⋻0⩚⊴⇥NaN=NaN","layer":1},{"info":"⋗⩬⋾⋰*⋻1772=⋰*⋻-50A6","layer":3},{"info":"⋰*⋻1175⨳⩥⨓⋰*⋻9A0=⋰*⋻-285","layer":3},{"info":"⋰*⋻-50A6⪛⋰*⋻-285=⋰*⋻-65","layer":2},{"info":"⋰*⋻2574≋⫹=⋰*⋻-5038","layer":3},{"info":"⨑⩽⪐⋰*⋻-5038=⋰*⋻A722","layer":2},{"info":"⋰*⋻-65+⇶⊼⋰*⋻A722=NaN","layer":1},{"info":"NaN⪛NaN=NaN","layer":0}]}
{"id":573,"expression_no_base_symbol":"(↔(⨑⩽⪐(⩦⩻⨪$2876$)))+⇶⊼((⨵≀≌$6583$⪛$2857$)≎⊠⪸($9337$⇷$1132$≋⫹))","expression":"(↔(⨑⩽⪐(⩦⩻⨪⋰*⋻2185)))+⇶⊼((⨵≀≌⋰*⋻4A45⪛⋰*⋻2168)≎⊠⪸(⋰*⋻7019⇷⋰*⋻93A≋⫹))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":135331,"operation_count":9,"complexity_ratio":15036.777777777777,"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":2876,"base":11}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":6583,"base":11},"right_expr":{"type":"numeric_atoms","value":2857,"base":11}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":9337,"base":11},"right_expr":{"type":"numeric_atoms","value":1132,"base":11}}}}},"used_operators":["TpPTUOHfaN","ruOEQAzv1W","AF7qkfDlqP","2td37pGCOC","bJkvcejdHO","srAu1WTS94","uFcxV4UQCh","N41Kp7NANJ","mp7IySMOzn"],"dependent_operators":["AHs5Up7iyr","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2876","layer":4},{"info":"compute unary expreesion, input=2876, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2876","layer":3},{"info":"compute unary expreesion, input=2876, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2603","layer":2},{"info":"compute unary expreesion, input=-2603, 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=6583","layer":4},{"info":"number node, value=2857","layer":4},{"info":"compute binary expreesion, left_input=6583, right_input=2857, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=869","layer":3},{"info":"compute unary expreesion, input=869, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-2607","layer":2},{"info":"number node, value=9337","layer":4},{"info":"number node, value=1132","layer":4},{"info":"compute binary expreesion, left_input=9337, right_input=1132, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2264","layer":3},{"info":"compute unary expreesion, input=2264, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-4528","layer":2},{"info":"compute binary expreesion, left_input=-2607, right_input=-4528, 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=-134, right_input=67, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"(↔(⨑⩽⪐(⩦⩻⨪⋰*⋻2185)))+⇶⊼((⨵≀≌⋰*⋻4A45⪛⋰*⋻2168)≎⊠⪸(⋰*⋻7019⇷⋰*⋻93A≋⫹))=NaN","reverse_text":"NaN=(↔(⨑⩽⪐(⩦⩻⨪⋰*⋻2185)))+⇶⊼((⨵≀≌⋰*⋻4A45⪛⋰*⋻2168)≎⊠⪸(⋰*⋻7019⇷⋰*⋻93A≋⫹))","cot":[{"info":"⩦⩻⨪⋰*⋻2185=⋰*⋻2185","layer":3},{"info":"⨑⩽⪐⋰*⋻2185=⋰*⋻-1A57","layer":2},{"info":"↔⋰*⋻-1A57=⋰*⋻-112","layer":1},{"info":"⋰*⋻4A45⪛⋰*⋻2168=⋰*⋻720","layer":3},{"info":"⨵≀≌⋰*⋻720=⋰*⋻-1A60","layer":2},{"info":"⋰*⋻7019⇷⋰*⋻93A=⋰*⋻1779","layer":3},{"info":"⋰*⋻1779≋⫹=⋰*⋻-3447","layer":2},{"info":"⋰*⋻-1A60≎⊠⪸⋰*⋻-3447=⋰*⋻61","layer":1},{"info":"⋰*⋻-112+⇶⊼⋰*⋻61=NaN","layer":0}]}
{"id":574,"expression_no_base_symbol":"(($4954$≭$1880$↺$3099$⋝⋈⪟$6811$)⨽(∥⊫$2760$⇷$2064$))⩚⊴⇥((+⊝⨔$4091$)⨳⩥⨓($2232$↙$6811$)⫸⊐($6276$⨳⩥⨓$2726$⋷$7181$⨎$2370$))","expression":"((⋰*⋻37A4≭⋰*⋻145A↺⋰*⋻2368⋝⋈⪟⋰*⋻5132)⨽(∥⊫⋰*⋻208A⇷⋰*⋻1607))⩚⊴⇥((+⊝⨔⋰*⋻308A)⨳⩥⨓(⋰*⋻174A↙⋰*⋻5132)⫸⊐(⋰*⋻4796⨳⩥⨓⋰*⋻2059⋷⋰*⋻5439⨎⋰*⋻1865))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":48634,"operation_count":14,"complexity_ratio":3473.8571428571427,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4954,"base":11},"right_expr":{"type":"numeric_atoms","value":1880,"base":11}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3099,"base":11},"right_expr":{"type":"numeric_atoms","value":6811,"base":11}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2760,"base":11},"right_expr":{"type":"numeric_atoms","value":2064,"base":11}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":4091,"base":11}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2232,"base":11},"right_expr":{"type":"numeric_atoms","value":6811,"base":11}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":6276,"base":11},"right_expr":{"type":"numeric_atoms","value":2726,"base":11}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":7181,"base":11},"right_expr":{"type":"numeric_atoms","value":2370,"base":11}}}}},"used_operators":["NTOWxs364D","8HhzD0ZcuI","7j4O788W3g","rxpJgHHUmx","2DDjHMKMc0","P8v4zCKN1o","mp7IySMOzn","mqXw5SEYmG","nCS4ZIUYfx","DhbWaqg5eL","yyfyN0ffXY","23Mk6UjR3U","rJVOvQCfKK"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⋰*⋻152A7986","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4954","layer":4},{"info":"number node, value=1880","layer":4},{"info":"compute binary expreesion, left_input=4954, right_input=1880, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=3099","layer":4},{"info":"number node, value=6811","layer":4},{"info":"compute binary expreesion, left_input=3099, right_input=6811, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3099","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3099, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3099","layer":2},{"info":"number node, value=2760","layer":4},{"info":"number node, value=2064","layer":4},{"info":"compute binary expreesion, left_input=2760, right_input=2064, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4128","layer":3},{"info":"compute unary expreesion, input=4128, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4996","layer":2},{"info":"compute binary expreesion, left_input=3099, right_input=4996, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-28825077","layer":1},{"info":"number node, value=4091","layer":4},{"info":"compute unary expreesion, input=4091, 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=2232","layer":4},{"info":"number node, value=6811","layer":4},{"info":"compute binary expreesion, left_input=2232, right_input=6811, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-20433","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=-20433, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-21955","layer":2},{"info":"number node, value=6276","layer":4},{"info":"number node, value=2726","layer":4},{"info":"compute binary expreesion, left_input=6276, right_input=2726, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3550","layer":3},{"info":"number node, value=7181","layer":4},{"info":"number node, value=2370","layer":4},{"info":"compute binary expreesion, left_input=7181, right_input=2370, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2370","layer":3},{"info":"compute binary expreesion, left_input=-3550, right_input=2370, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=7100","layer":2},{"info":"compute binary expreesion, left_input=-21955, right_input=7100, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":1},{"info":"compute binary expreesion, left_input=-28825077, right_input=968, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=28823988","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻37A4≭⋰*⋻145A↺⋰*⋻2368⋝⋈⪟⋰*⋻5132)⨽(∥⊫⋰*⋻208A⇷⋰*⋻1607))⩚⊴⇥((+⊝⨔⋰*⋻308A)⨳⩥⨓(⋰*⋻174A↙⋰*⋻5132)⫸⊐(⋰*⋻4796⨳⩥⨓⋰*⋻2059⋷⋰*⋻5439⨎⋰*⋻1865))=⋰*⋻152A7986","reverse_text":"⋰*⋻152A7986=((⋰*⋻37A4≭⋰*⋻145A↺⋰*⋻2368⋝⋈⪟⋰*⋻5132)⨽(∥⊫⋰*⋻208A⇷⋰*⋻1607))⩚⊴⇥((+⊝⨔⋰*⋻308A)⨳⩥⨓(⋰*⋻174A↙⋰*⋻5132)⫸⊐(⋰*⋻4796⨳⩥⨓⋰*⋻2059⋷⋰*⋻5439⨎⋰*⋻1865))","cot":[{"info":"⋰*⋻37A4≭⋰*⋻145A=NaN","layer":3},{"info":"⋰*⋻2368⋝⋈⪟⋰*⋻5132=⋰*⋻2368","layer":3},{"info":"NaN↺⋰*⋻2368=⋰*⋻2368","layer":2},{"info":"⋰*⋻208A⇷⋰*⋻1607=⋰*⋻3113","layer":3},{"info":"∥⊫⋰*⋻3113=⋰*⋻3832","layer":2},{"info":"⋰*⋻2368⨽⋰*⋻3832=⋰*⋻-152A8786","layer":1},{"info":"+⊝⨔⋰*⋻308A=⋰*⋻1164","layer":3},{"info":"⋰*⋻174A↙⋰*⋻5132=⋰*⋻-14396","layer":3},{"info":"⋰*⋻1164⨳⩥⨓⋰*⋻-14396=⋰*⋻-1554A","layer":2},{"info":"⋰*⋻4796⨳⩥⨓⋰*⋻2059=⋰*⋻-2738","layer":3},{"info":"⋰*⋻5439⨎⋰*⋻1865=⋰*⋻1865","layer":3},{"info":"⋰*⋻-2738⋷⋰*⋻1865=⋰*⋻5375","layer":2},{"info":"⋰*⋻-1554A⫸⊐⋰*⋻5375=⋰*⋻800","layer":1},{"info":"⋰*⋻-152A8786⩚⊴⇥⋰*⋻800=⋰*⋻152A7986","layer":0}]}
{"id":575,"expression_no_base_symbol":"(($1343$⊘)+⇶⊼(⪝⪂⫅$2724$)/(⪲⇎(⨵≀≌$5519$)))⊉≛↸$1824$⪮%⊝$2625$⋝⋈⪟($6499$⇼⇔∾$7137$)⋥≓≎((⫛⫱⨽$5228$)⨳⩥⨓($1836$⨵⪆$1961$))","expression":"((⋰*⋻1011⊘)+⇶⊼(⪝⪂⫅⋰*⋻2057)/(⪲⇎(⨵≀≌⋰*⋻4168)))⊉≛↸⋰*⋻1409⪮%⊝⋰*⋻1A77⋝⋈⪟(⋰*⋻4979⇼⇔∾⋰*⋻53A9)⋥≓≎((⫛⫱⨽⋰*⋻3A23)⨳⩥⨓(⋰*⋻141A⨵⪆⋰*⋻1523))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1622,"operation_count":14,"complexity_ratio":115.85714285714286,"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":1343,"base":11}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":2724,"base":11}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":5519,"base":11}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1824,"base":11},"right_expr":{"type":"numeric_atoms","value":2625,"base":11}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":6499,"base":11},"right_expr":{"type":"numeric_atoms","value":7137,"base":11}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":5228,"base":11}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1836,"base":11},"right_expr":{"type":"numeric_atoms","value":1961,"base":11}}}}},"used_operators":["DZ8iAZOCBD","XhwjNDsVaA","TpPTUOHfaN","gu96TGCTMs","XTarYq4gQB","XPYlsWDdGa","srAu1WTS94","Qy55tPpLXF","2DDjHMKMc0","IWmyXbctLI","tifHPKVTfV","nCS4ZIUYfx","DlLNRPXxWL","2DQ55sFlQl"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1343","layer":4},{"info":"compute unary expreesion, input=1343, 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=2724","layer":4},{"info":"compute unary expreesion, input=2724, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-400428","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-400428, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=5519","layer":4},{"info":"compute unary expreesion, input=5519, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-16557","layer":3},{"info":"compute unary expreesion, input=-16557, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-33114","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-33114, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1824","layer":4},{"info":"number node, value=2625","layer":4},{"info":"compute binary expreesion, left_input=1824, right_input=2625, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3964","layer":3},{"info":"number node, value=6499","layer":4},{"info":"number node, value=7137","layer":4},{"info":"compute binary expreesion, left_input=6499, right_input=7137, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=638","layer":3},{"info":"compute binary expreesion, left_input=3964, right_input=638, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3964","layer":2},{"info":"number node, value=5228","layer":4},{"info":"compute unary expreesion, input=5228, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=1836","layer":4},{"info":"number node, value=1961","layer":4},{"info":"compute binary expreesion, left_input=1836, right_input=1961, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=160, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=3964, right_input=160, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-3611","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-3611, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1011⊘)+⇶⊼(⪝⪂⫅⋰*⋻2057)/(⪲⇎(⨵≀≌⋰*⋻4168)))⊉≛↸⋰*⋻1409⪮%⊝⋰*⋻1A77⋝⋈⪟(⋰*⋻4979⇼⇔∾⋰*⋻53A9)⋥≓≎((⫛⫱⨽⋰*⋻3A23)⨳⩥⨓(⋰*⋻141A⨵⪆⋰*⋻1523))=NaN","reverse_text":"NaN=((⋰*⋻1011⊘)+⇶⊼(⪝⪂⫅⋰*⋻2057)/(⪲⇎(⨵≀≌⋰*⋻4168)))⊉≛↸⋰*⋻1409⪮%⊝⋰*⋻1A77⋝⋈⪟(⋰*⋻4979⇼⇔∾⋰*⋻53A9)⋥≓≎((⫛⫱⨽⋰*⋻3A23)⨳⩥⨓(⋰*⋻141A⨵⪆⋰*⋻1523))","cot":[{"info":"⋰*⋻1011⊘=⋰*⋻0","layer":3},{"info":"⪝⪂⫅⋰*⋻2057=⋰*⋻-253936","layer":3},{"info":"⋰*⋻0+⇶⊼⋰*⋻-253936=NaN","layer":2},{"info":"⨵≀≌⋰*⋻4168=⋰*⋻-11492","layer":3},{"info":"⪲⇎⋰*⋻-11492=⋰*⋻-22974","layer":2},{"info":"NaN/⋰*⋻-22974=NaN","layer":1},{"info":"⋰*⋻1409⪮%⊝⋰*⋻1A77=⋰*⋻2A84","layer":3},{"info":"⋰*⋻4979⇼⇔∾⋰*⋻53A9=⋰*⋻530","layer":3},{"info":"⋰*⋻2A84⋝⋈⪟⋰*⋻530=⋰*⋻2A84","layer":2},{"info":"⫛⫱⨽⋰*⋻3A23=⋰*⋻0","layer":3},{"info":"⋰*⋻141A⨵⪆⋰*⋻1523=⋰*⋻136","layer":3},{"info":"⋰*⋻0⨳⩥⨓⋰*⋻136=⋰*⋻136","layer":2},{"info":"⋰*⋻2A84⋥≓≎⋰*⋻136=⋰*⋻-2793","layer":1},{"info":"NaN⊉≛↸⋰*⋻-2793=NaN","layer":0}]}
{"id":576,"expression_no_base_symbol":"(($2510$⋷$1617$)⨪↰⇹($4556$⊉≛↸$6392$)⊉≛↸($2437$≎⊠⪸$2544$)∼($2096$≣⋋))⋥≓≎(∂(⨈⫕($2675$+$5582$)))","expression":"((⋰*⋻1982⋷⋰*⋻1240)⨪↰⇹(⋰*⋻3472⊉≛↸⋰*⋻4891)⊉≛↸(⋰*⋻1916≎⊠⪸⋰*⋻1A03)∼(⋰*⋻1636≣⋋))⋥≓≎(∂(⨈⫕(⋰*⋻2012+⋰*⋻4215)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":14710,"operation_count":11,"complexity_ratio":1337.2727272727273,"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":2510,"base":11},"right_expr":{"type":"numeric_atoms","value":1617,"base":11}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4556,"base":11},"right_expr":{"type":"numeric_atoms","value":6392,"base":11}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2437,"base":11},"right_expr":{"type":"numeric_atoms","value":2544,"base":11}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":2096,"base":11}}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2675,"base":11},"right_expr":{"type":"numeric_atoms","value":5582,"base":11}}}}},"used_operators":["Qy55tPpLXF","DZ8iAZOCBD","tmPS8pqC7x","23Mk6UjR3U","DyGG3AbaNP","bJkvcejdHO","Tcnh7f0tEr","Uaa54Peajs","megm06wKyl","W4YGzv6Whe"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"⋰*⋻-1479","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2510","layer":4},{"info":"number node, value=1617","layer":4},{"info":"compute binary expreesion, left_input=2510, right_input=1617, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=724","layer":3},{"info":"number node, value=4556","layer":4},{"info":"number node, value=6392","layer":4},{"info":"compute binary expreesion, left_input=4556, right_input=6392, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=9112","layer":3},{"info":"compute binary expreesion, left_input=724, right_input=9112, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=724","layer":2},{"info":"number node, value=2437","layer":4},{"info":"number node, value=2544","layer":4},{"info":"compute binary expreesion, left_input=2437, right_input=2544, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=630710","layer":3},{"info":"number node, value=2096","layer":4},{"info":"compute unary expreesion, input=2096, 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=630710, 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=724, right_input=20, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=1448","layer":1},{"info":"number node, value=2675","layer":4},{"info":"number node, value=5582","layer":4},{"info":"compute binary expreesion, left_input=2675, right_input=5582, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8257","layer":3},{"info":"compute unary expreesion, input=8257, 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 = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=-243","layer":1},{"info":"compute binary expreesion, left_input=1448, right_input=-243, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1901","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1982⋷⋰*⋻1240)⨪↰⇹(⋰*⋻3472⊉≛↸⋰*⋻4891)⊉≛↸(⋰*⋻1916≎⊠⪸⋰*⋻1A03)∼(⋰*⋻1636≣⋋))⋥≓≎(∂(⨈⫕(⋰*⋻2012+⋰*⋻4215)))=⋰*⋻-1479","reverse_text":"⋰*⋻-1479=((⋰*⋻1982⋷⋰*⋻1240)⨪↰⇹(⋰*⋻3472⊉≛↸⋰*⋻4891)⊉≛↸(⋰*⋻1916≎⊠⪸⋰*⋻1A03)∼(⋰*⋻1636≣⋋))⋥≓≎(∂(⨈⫕(⋰*⋻2012+⋰*⋻4215)))","cot":[{"info":"⋰*⋻1982⋷⋰*⋻1240=⋰*⋻5A9","layer":3},{"info":"⋰*⋻3472⊉≛↸⋰*⋻4891=⋰*⋻6934","layer":3},{"info":"⋰*⋻5A9⨪↰⇹⋰*⋻6934=⋰*⋻5A9","layer":2},{"info":"⋰*⋻1916≎⊠⪸⋰*⋻1A03=⋰*⋻3A0953","layer":3},{"info":"⋰*⋻1636≣⋋=⋰*⋻0","layer":3},{"info":"⋰*⋻3A0953∼⋰*⋻0=⋰*⋻19","layer":2},{"info":"⋰*⋻5A9⊉≛↸⋰*⋻19=⋰*⋻10A7","layer":1},{"info":"⋰*⋻2012+⋰*⋻4215=⋰*⋻6227","layer":3},{"info":"⨈⫕⋰*⋻6227=⋰*⋻-1A","layer":2},{"info":"∂⋰*⋻-1A=⋰*⋻-201","layer":1},{"info":"⋰*⋻10A7⋥≓≎⋰*⋻-201=⋰*⋻-1479","layer":0}]}
{"id":577,"expression_no_base_symbol":"(($3797$∼$3768$)⨟⋌⩍($3904$⨪↰⇹$4108$)↙($3794$≧⫂∧$2854$)∑⇟⊟($1005$⪒$1485$))⪮%⊝(($4334$∀⇚≩$2531$⊠≄⫣)⊘)","expression":"((⋰*⋻2942∼⋰*⋻2916)⨟⋌⩍(⋰*⋻2A2A⨪↰⇹⋰*⋻30A5)↙(⋰*⋻293A≧⫂∧⋰*⋻2165)∑⇟⊟(⋰*⋻834⪒⋰*⋻1130))⪮%⊝((⋰*⋻3290∀⇚≩⋰*⋻19A1⊠≄⫣)⊘)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":34358,"operation_count":11,"complexity_ratio":3123.4545454545455,"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":3797,"base":11},"right_expr":{"type":"numeric_atoms","value":3768,"base":11}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3904,"base":11},"right_expr":{"type":"numeric_atoms","value":4108,"base":11}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3794,"base":11},"right_expr":{"type":"numeric_atoms","value":2854,"base":11}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1005,"base":11},"right_expr":{"type":"numeric_atoms","value":1485,"base":11}}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4334,"base":11},"right_expr":{"type":"numeric_atoms","value":2531,"base":11}}}}},"used_operators":["IWmyXbctLI","yyfyN0ffXY","rGHVDoGpnC","DyGG3AbaNP","tmPS8pqC7x","U7g4x0WXJJ","Ph9nP6C5qx","f6k1SAg4EE","gu96TGCTMs","DIvbN7qnHd","LRNGc0VcxI"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","tmPS8pqC7x","DpFCA1CohY","Tcnh7f0tEr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rJVOvQCfKK","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3797","layer":4},{"info":"number node, value=3768","layer":4},{"info":"compute binary expreesion, left_input=3797, right_input=3768, 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=3904","layer":4},{"info":"number node, value=4108","layer":4},{"info":"compute binary expreesion, left_input=3904, right_input=4108, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3904","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3904, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=3794","layer":4},{"info":"number node, value=2854","layer":4},{"info":"compute binary expreesion, left_input=3794, right_input=2854, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2381","layer":3},{"info":"number node, value=1005","layer":4},{"info":"number node, value=1485","layer":4},{"info":"compute binary expreesion, left_input=1005, right_input=1485, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2490","layer":3},{"info":"compute binary expreesion, left_input=2381, right_input=-2490, 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 = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":1},{"info":"number node, value=4334","layer":4},{"info":"number node, value=2531","layer":4},{"info":"compute binary expreesion, left_input=4334, right_input=2531, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = DIvbN7qnHd, unary_op_definition = '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=nan, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻2942∼⋰*⋻2916)⨟⋌⩍(⋰*⋻2A2A⨪↰⇹⋰*⋻30A5)↙(⋰*⋻293A≧⫂∧⋰*⋻2165)∑⇟⊟(⋰*⋻834⪒⋰*⋻1130))⪮%⊝((⋰*⋻3290∀⇚≩⋰*⋻19A1⊠≄⫣)⊘)=NaN","reverse_text":"NaN=((⋰*⋻2942∼⋰*⋻2916)⨟⋌⩍(⋰*⋻2A2A⨪↰⇹⋰*⋻30A5)↙(⋰*⋻293A≧⫂∧⋰*⋻2165)∑⇟⊟(⋰*⋻834⪒⋰*⋻1130))⪮%⊝((⋰*⋻3290∀⇚≩⋰*⋻19A1⊠≄⫣)⊘)","cot":[{"info":"⋰*⋻2942∼⋰*⋻2916=NaN","layer":3},{"info":"⋰*⋻2A2A⨪↰⇹⋰*⋻30A5=⋰*⋻2A2A","layer":3},{"info":"NaN⨟⋌⩍⋰*⋻2A2A=NaN","layer":2},{"info":"⋰*⋻293A≧⫂∧⋰*⋻2165=⋰*⋻1875","layer":3},{"info":"⋰*⋻834⪒⋰*⋻1130=⋰*⋻-1964","layer":3},{"info":"⋰*⋻1875∑⇟⊟⋰*⋻-1964=NaN","layer":2},{"info":"NaN↙NaN=NaN","layer":1},{"info":"⋰*⋻3290∀⇚≩⋰*⋻19A1=NaN","layer":3},{"info":"NaN⊠≄⫣=NaN","layer":2},{"info":"NaN⊘=NaN","layer":1},{"info":"NaN⪮%⊝NaN=NaN","layer":0}]}
{"id":578,"expression_no_base_symbol":"($1055$⋝⋈⪟$3423$⩨($5219$⫡⨏$4155$))∼($2984$∀⇚≩$1943$⊉≛↸$3712$⨰$1019$)/(≦∁(⊄⩳↩$6432$))∀⇚≩($1993$⋥≓≎$2766$↺$1462$⨟⋌⩍$7807$)","expression":"(⋰*⋻87A⋝⋈⪟⋰*⋻2632⩨(⋰*⋻3A15⫡⨏⋰*⋻3138))∼(⋰*⋻2273∀⇚≩⋰*⋻1507⊉≛↸⋰*⋻2875⨰⋰*⋻847)/(≦∁(⊄⩳↩⋰*⋻4918))∀⇚≩(⋰*⋻1552⋥≓≎⋰*⋻2095↺⋰*⋻110A⨟⋌⩍⋰*⋻5958)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":21515,"operation_count":14,"complexity_ratio":1536.7857142857142,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1055,"base":11},"right_expr":{"type":"numeric_atoms","value":3423,"base":11}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":5219,"base":11},"right_expr":{"type":"numeric_atoms","value":4155,"base":11}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2984,"base":11},"right_expr":{"type":"numeric_atoms","value":1943,"base":11}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3712,"base":11},"right_expr":{"type":"numeric_atoms","value":1019,"base":11}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":6432,"base":11}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1993,"base":11},"right_expr":{"type":"numeric_atoms","value":2766,"base":11}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1462,"base":11},"right_expr":{"type":"numeric_atoms","value":7807,"base":11}}}}},"used_operators":["XhwjNDsVaA","DyGG3AbaNP","2DlMacCsIx","2DDjHMKMc0","QMFrweE19q","DZ8iAZOCBD","LRNGc0VcxI","eewbuw0ToL","9ICcGScMcE","8w2t5hMYqp","7j4O788W3g","Qy55tPpLXF","rGHVDoGpnC"],"dependent_operators":["rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1055","layer":4},{"info":"number node, value=3423","layer":4},{"info":"compute binary expreesion, left_input=1055, right_input=3423, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1055","layer":3},{"info":"number node, value=5219","layer":4},{"info":"number node, value=4155","layer":4},{"info":"compute binary expreesion, left_input=5219, right_input=4155, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=35188","layer":3},{"info":"compute binary expreesion, left_input=1055, right_input=35188, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-99","layer":2},{"info":"number node, value=2984","layer":4},{"info":"number node, value=1943","layer":4},{"info":"compute binary expreesion, left_input=2984, right_input=1943, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=3712","layer":4},{"info":"number node, value=1019","layer":4},{"info":"compute binary expreesion, left_input=3712, right_input=1019, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2703","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2703, 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=-99, 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=6432","layer":4},{"info":"compute unary expreesion, input=6432, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-19296","layer":3},{"info":"compute unary expreesion, input=-19296, 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=1993","layer":4},{"info":"number node, value=2766","layer":4},{"info":"compute binary expreesion, left_input=1993, right_input=2766, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3572","layer":3},{"info":"number node, value=1462","layer":4},{"info":"number node, value=7807","layer":4},{"info":"compute binary expreesion, left_input=1462, right_input=7807, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=3572, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":11,"result_base":11,"text":"(⋰*⋻87A⋝⋈⪟⋰*⋻2632⩨(⋰*⋻3A15⫡⨏⋰*⋻3138))∼(⋰*⋻2273∀⇚≩⋰*⋻1507⊉≛↸⋰*⋻2875⨰⋰*⋻847)/(≦∁(⊄⩳↩⋰*⋻4918))∀⇚≩(⋰*⋻1552⋥≓≎⋰*⋻2095↺⋰*⋻110A⨟⋌⩍⋰*⋻5958)=NaN","reverse_text":"NaN=(⋰*⋻87A⋝⋈⪟⋰*⋻2632⩨(⋰*⋻3A15⫡⨏⋰*⋻3138))∼(⋰*⋻2273∀⇚≩⋰*⋻1507⊉≛↸⋰*⋻2875⨰⋰*⋻847)/(≦∁(⊄⩳↩⋰*⋻4918))∀⇚≩(⋰*⋻1552⋥≓≎⋰*⋻2095↺⋰*⋻110A⨟⋌⩍⋰*⋻5958)","cot":[{"info":"⋰*⋻87A⋝⋈⪟⋰*⋻2632=⋰*⋻87A","layer":3},{"info":"⋰*⋻3A15⫡⨏⋰*⋻3138=⋰*⋻2448A","layer":3},{"info":"⋰*⋻87A⩨⋰*⋻2448A=⋰*⋻-90","layer":2},{"info":"⋰*⋻2273∀⇚≩⋰*⋻1507=NaN","layer":3},{"info":"⋰*⋻2875⨰⋰*⋻847=⋰*⋻2038","layer":3},{"info":"NaN⊉≛↸⋰*⋻2038=NaN","layer":2},{"info":"⋰*⋻-90∼NaN=NaN","layer":1},{"info":"⊄⩳↩⋰*⋻4918=⋰*⋻-13552","layer":3},{"info":"≦∁⋰*⋻-13552=⋰*⋻61","layer":2},{"info":"⋰*⋻1552⋥≓≎⋰*⋻2095=⋰*⋻2758","layer":3},{"info":"⋰*⋻110A⨟⋌⩍⋰*⋻5958=NaN","layer":3},{"info":"⋰*⋻2758↺NaN=NaN","layer":2},{"info":"⋰*⋻61∀⇚≩NaN=NaN","layer":1},{"info":"NaN/NaN=NaN","layer":0}]}
{"id":579,"expression_no_base_symbol":"≉(($3043$⩚⊴⇥$1472$⋷(⨑⩽⪐$1872$))%$5977$∼$3088$⨪↰⇹($1057$≭$3906$))","expression":"≉((⋰*⋻2317⩚⊴⇥⋰*⋻1119⋷(⨑⩽⪐⋰*⋻1452))%⋰*⋻4544∼⋰*⋻2358⨪↰⇹(⋰*⋻881≭⋰*⋻2A31))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":132,"operation_count":8,"complexity_ratio":16.5,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3043,"base":11},"right_expr":{"type":"numeric_atoms","value":1472,"base":11}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1872,"base":11}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5977,"base":11},"right_expr":{"type":"numeric_atoms","value":3088,"base":11}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1057,"base":11},"right_expr":{"type":"numeric_atoms","value":3906,"base":11}}}}},"used_operators":["e1ybzncUwg","k8jYdgA6NY","23Mk6UjR3U","NTOWxs364D","AF7qkfDlqP","tmPS8pqC7x","DyGG3AbaNP","rxpJgHHUmx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rJVOvQCfKK","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3043","layer":4},{"info":"number node, value=1472","layer":4},{"info":"compute binary expreesion, left_input=3043, right_input=1472, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4636","layer":3},{"info":"number node, value=1872","layer":4},{"info":"compute unary expreesion, input=1872, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1599","layer":3},{"info":"compute binary expreesion, left_input=-4636, right_input=-1599, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=9272","layer":2},{"info":"number node, value=5977","layer":4},{"info":"number node, value=3088","layer":4},{"info":"compute binary expreesion, left_input=5977, right_input=3088, 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=1057","layer":4},{"info":"number node, value=3906","layer":4},{"info":"compute binary expreesion, left_input=1057, right_input=3906, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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 = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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=9272, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"≉((⋰*⋻2317⩚⊴⇥⋰*⋻1119⋷(⨑⩽⪐⋰*⋻1452))%⋰*⋻4544∼⋰*⋻2358⨪↰⇹(⋰*⋻881≭⋰*⋻2A31))=NaN","reverse_text":"NaN=≉((⋰*⋻2317⩚⊴⇥⋰*⋻1119⋷(⨑⩽⪐⋰*⋻1452))%⋰*⋻4544∼⋰*⋻2358⨪↰⇹(⋰*⋻881≭⋰*⋻2A31))","cot":[{"info":"⋰*⋻2317⩚⊴⇥⋰*⋻1119=⋰*⋻-3535","layer":3},{"info":"⨑⩽⪐⋰*⋻1452=⋰*⋻-1224","layer":3},{"info":"⋰*⋻-3535⋷⋰*⋻-1224=⋰*⋻6A6A","layer":2},{"info":"⋰*⋻4544∼⋰*⋻2358=NaN","layer":3},{"info":"⋰*⋻881≭⋰*⋻2A31=NaN","layer":3},{"info":"NaN⨪↰⇹NaN=NaN","layer":2},{"info":"⋰*⋻6A6A%NaN=NaN","layer":1},{"info":"≉NaN=NaN","layer":0}]}
{"id":580,"expression_no_base_symbol":"((≤/$1444$)∑⇟⊟$1203$⪮%⊝$7147$⪐)⨐⩸⫘(⊄⩳↩($2847$∀⇚≩$3796$⋷(+⊝⨔$1929$)))","expression":"((≤/⋰*⋻10A3)∑⇟⊟⋰*⋻9A4⪮%⊝⋰*⋻5408⪐)⨐⩸⫘(⊄⩳↩(⋰*⋻2159∀⇚≩⋰*⋻2941⋷(+⊝⨔⋰*⋻14A4)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":19988,"operation_count":9,"complexity_ratio":2220.8888888888887,"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":1444,"base":11}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1203,"base":11},"right_expr":{"type":"numeric_atoms","value":7147,"base":11}}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2847,"base":11},"right_expr":{"type":"numeric_atoms","value":3796,"base":11}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1929,"base":11}}}}},"used_operators":["fu6greOZ01","eH2TOUuTDT","U7g4x0WXJJ","eLAdDNolq6","IWmyXbctLI","8w2t5hMYqp","23Mk6UjR3U","LRNGc0VcxI","DhbWaqg5eL"],"dependent_operators":["3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=1444","layer":4},{"info":"compute unary expreesion, input=1444, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-960","layer":3},{"info":"number node, value=1203","layer":4},{"info":"number node, value=7147","layer":4},{"info":"compute binary expreesion, left_input=1203, right_input=7147, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2722","layer":3},{"info":"compute binary expreesion, left_input=-960, right_input=2722, 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 = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":1},{"info":"number node, value=2847","layer":4},{"info":"number node, value=3796","layer":4},{"info":"compute binary expreesion, left_input=2847, right_input=3796, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1929","layer":4},{"info":"compute unary expreesion, input=1929, 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 = 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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(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":11,"result_base":11,"text":"((≤/⋰*⋻10A3)∑⇟⊟⋰*⋻9A4⪮%⊝⋰*⋻5408⪐)⨐⩸⫘(⊄⩳↩(⋰*⋻2159∀⇚≩⋰*⋻2941⋷(+⊝⨔⋰*⋻14A4)))=NaN","reverse_text":"NaN=((≤/⋰*⋻10A3)∑⇟⊟⋰*⋻9A4⪮%⊝⋰*⋻5408⪐)⨐⩸⫘(⊄⩳↩(⋰*⋻2159∀⇚≩⋰*⋻2941⋷(+⊝⨔⋰*⋻14A4)))","cot":[{"info":"≤/⋰*⋻10A3=⋰*⋻-7A3","layer":3},{"info":"⋰*⋻9A4⪮%⊝⋰*⋻5408=⋰*⋻2055","layer":3},{"info":"⋰*⋻-7A3∑⇟⊟⋰*⋻2055=NaN","layer":2},{"info":"NaN⪐=NaN","layer":1},{"info":"⋰*⋻2159∀⇚≩⋰*⋻2941=NaN","layer":3},{"info":"+⊝⨔⋰*⋻14A4=⋰*⋻1164","layer":3},{"info":"NaN⋷⋰*⋻1164=NaN","layer":2},{"info":"⊄⩳↩NaN=NaN","layer":1},{"info":"NaN⨐⩸⫘NaN=NaN","layer":0}]}
{"id":581,"expression_no_base_symbol":"(($3238$+$4585$)↙($3610$↙$1524$)/(↯⪼$6902$)⩨$1131$≧⫂∧$7446$)⫥∨⫟(($1587$⪠⩆⊳)⨰($3861$⨐⩸⫘$3714$))⨓(($5665$↺$1887$)⩠)","expression":"((⋰*⋻2484+⋰*⋻3499)↙(⋰*⋻2792↙⋰*⋻1166)/(↯⪼⋰*⋻5205)⩨⋰*⋻939≧⫂∧⋰*⋻565A)⫥∨⫟((⋰*⋻1213⪠⩆⊳)⨰(⋰*⋻29A0⨐⩸⫘⋰*⋻2877))⨓((⋰*⋻4290↺⋰*⋻1466)⩠)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6677,"operation_count":14,"complexity_ratio":476.92857142857144,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3238,"base":11},"right_expr":{"type":"numeric_atoms","value":4585,"base":11}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3610,"base":11},"right_expr":{"type":"numeric_atoms","value":1524,"base":11}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":6902,"base":11}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1131,"base":11},"right_expr":{"type":"numeric_atoms","value":7446,"base":11}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1587,"base":11}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3861,"base":11},"right_expr":{"type":"numeric_atoms","value":3714,"base":11}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":5665,"base":11},"right_expr":{"type":"numeric_atoms","value":1887,"base":11}}}}},"used_operators":["KYD54nUTWz","XhwjNDsVaA","yyfyN0ffXY","W4YGzv6Whe","2DlMacCsIx","8jW3W4yZS5","Ph9nP6C5qx","3ViojmjbAp","eewbuw0ToL","JLbD19bQDL","fu6greOZ01","sJAwomhLZr","7j4O788W3g"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3238","layer":4},{"info":"number node, value=4585","layer":4},{"info":"compute binary expreesion, left_input=3238, right_input=4585, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7823","layer":3},{"info":"number node, value=3610","layer":4},{"info":"number node, value=1524","layer":4},{"info":"compute binary expreesion, left_input=3610, right_input=1524, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4572","layer":3},{"info":"compute binary expreesion, left_input=7823, right_input=-4572, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=13716","layer":2},{"info":"number node, value=6902","layer":4},{"info":"compute unary expreesion, input=6902, 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=1131","layer":4},{"info":"number node, value=7446","layer":4},{"info":"compute binary expreesion, left_input=1131, right_input=7446, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=6973","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=6973, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=999","layer":2},{"info":"compute binary expreesion, left_input=13716, right_input=999, op_id = XhwjNDsVaA binary_op_definition= 'None', output=13","layer":1},{"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":"number node, value=3861","layer":4},{"info":"number node, value=3714","layer":4},{"info":"compute binary expreesion, left_input=3861, right_input=3714, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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 = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"number node, value=5665","layer":4},{"info":"number node, value=1887","layer":4},{"info":"compute binary expreesion, left_input=5665, right_input=1887, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1887","layer":3},{"info":"compute unary expreesion, input=1887, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=13, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻2484+⋰*⋻3499)↙(⋰*⋻2792↙⋰*⋻1166)/(↯⪼⋰*⋻5205)⩨⋰*⋻939≧⫂∧⋰*⋻565A)⫥∨⫟((⋰*⋻1213⪠⩆⊳)⨰(⋰*⋻29A0⨐⩸⫘⋰*⋻2877))⨓((⋰*⋻4290↺⋰*⋻1466)⩠)=NaN","reverse_text":"NaN=((⋰*⋻2484+⋰*⋻3499)↙(⋰*⋻2792↙⋰*⋻1166)/(↯⪼⋰*⋻5205)⩨⋰*⋻939≧⫂∧⋰*⋻565A)⫥∨⫟((⋰*⋻1213⪠⩆⊳)⨰(⋰*⋻29A0⨐⩸⫘⋰*⋻2877))⨓((⋰*⋻4290↺⋰*⋻1466)⩠)","cot":[{"info":"⋰*⋻2484+⋰*⋻3499=⋰*⋻5972","layer":3},{"info":"⋰*⋻2792↙⋰*⋻1166=⋰*⋻-3487","layer":3},{"info":"⋰*⋻5972↙⋰*⋻-3487=⋰*⋻A33A","layer":2},{"info":"↯⪼⋰*⋻5205=⋰*⋻-1A","layer":3},{"info":"⋰*⋻939≧⫂∧⋰*⋻565A=⋰*⋻526A","layer":3},{"info":"⋰*⋻-1A⩨⋰*⋻526A=⋰*⋻829","layer":2},{"info":"⋰*⋻A33A/⋰*⋻829=⋰*⋻12","layer":1},{"info":"⋰*⋻1213⪠⩆⊳=⋰*⋻0","layer":3},{"info":"⋰*⋻29A0⨐⩸⫘⋰*⋻2877=NaN","layer":3},{"info":"⋰*⋻0⨰NaN=NaN","layer":2},{"info":"⋰*⋻4290↺⋰*⋻1466=⋰*⋻1466","layer":3},{"info":"⋰*⋻1466⩠=⋰*⋻0","layer":2},{"info":"NaN⨓⋰*⋻0=NaN","layer":1},{"info":"⋰*⋻12⫥∨⫟NaN=NaN","layer":0}]}
{"id":582,"expression_no_base_symbol":"(↣≠⋷($3519$↺$7162$⩨$2615$↺$1913$))≣⋋","expression":"(↣≠⋷(⋰*⋻270A↺⋰*⋻5421⩨⋰*⋻1A68↺⋰*⋻148A))≣⋋","highest_n_order":4,"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":3519,"base":11},"right_expr":{"type":"numeric_atoms","value":7162,"base":11}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2615,"base":11},"right_expr":{"type":"numeric_atoms","value":1913,"base":11}}}}},"used_operators":["Tcnh7f0tEr","Asc51vEJeQ","2DlMacCsIx","7j4O788W3g"],"dependent_operators":["dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","XhwjNDsVaA","AHs5Up7iyr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=3519","layer":4},{"info":"number node, value=7162","layer":4},{"info":"compute binary expreesion, left_input=3519, right_input=7162, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=7162","layer":3},{"info":"number node, value=2615","layer":4},{"info":"number node, value=1913","layer":4},{"info":"compute binary expreesion, left_input=2615, right_input=1913, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1913","layer":3},{"info":"compute binary expreesion, left_input=7162, right_input=1913, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍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":11,"result_base":11,"text":"(↣≠⋷(⋰*⋻270A↺⋰*⋻5421⩨⋰*⋻1A68↺⋰*⋻148A))≣⋋=NaN","reverse_text":"NaN=(↣≠⋷(⋰*⋻270A↺⋰*⋻5421⩨⋰*⋻1A68↺⋰*⋻148A))≣⋋","cot":[{"info":"⋰*⋻270A↺⋰*⋻5421=⋰*⋻5421","layer":3},{"info":"⋰*⋻1A68↺⋰*⋻148A=⋰*⋻148A","layer":3},{"info":"⋰*⋻5421⩨⋰*⋻148A=⋰*⋻0","layer":2},{"info":"↣≠⋷⋰*⋻0=NaN","layer":1},{"info":"NaN≣⋋=NaN","layer":0}]}
{"id":583,"expression_no_base_symbol":"((∂$1014$∀⇚≩$2682$)⫥∨⫟($1040$-$1743$)⩷∴($2819$%$2265$))∑⇟⊟(($5236$⋳⪒$1920$≋⫹)/(($1044$⪄$8450$)∧))","expression":"((∂⋰*⋻842∀⇚≩⋰*⋻2019)⫥∨⫟(⋰*⋻866-⋰*⋻1345)⩷∴(⋰*⋻2133%⋰*⋻177A))∑⇟⊟((⋰*⋻3A30⋳⪒⋰*⋻1496≋⫹)/((⋰*⋻86A⪄⋰*⋻6392)∧))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7376,"operation_count":12,"complexity_ratio":614.6666666666666,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1014,"base":11},"right_expr":{"type":"numeric_atoms","value":2682,"base":11}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1040,"base":11},"right_expr":{"type":"numeric_atoms","value":1743,"base":11}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2819,"base":11},"right_expr":{"type":"numeric_atoms","value":2265,"base":11}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":5236,"base":11},"right_expr":{"type":"numeric_atoms","value":1920,"base":11}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1044,"base":11},"right_expr":{"type":"numeric_atoms","value":8450,"base":11}}}}},"used_operators":["U7g4x0WXJJ","KYD54nUTWz","Uaa54Peajs","LRNGc0VcxI","9FxExcQeMw","rysDP5nf3Z","k8jYdgA6NY","XhwjNDsVaA","N41Kp7NANJ","12rbrZMWeM","z63VuFQld9","SUmda5xLS4"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","8HhzD0ZcuI","rGHVDoGpnC","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","X99M06cbEe","rysDP5nf3Z","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1014","layer":4},{"info":"number node, value=2682","layer":4},{"info":"compute binary expreesion, left_input=1014, right_input=2682, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = 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=1040","layer":4},{"info":"number node, value=1743","layer":4},{"info":"compute binary expreesion, left_input=1040, right_input=1743, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-703","layer":3},{"info":"number node, value=2819","layer":4},{"info":"number node, value=2265","layer":4},{"info":"compute binary expreesion, left_input=2819, right_input=2265, op_id = k8jYdgA6NY binary_op_definition= 'None', output=554","layer":3},{"info":"compute binary expreesion, left_input=-703, right_input=554, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2546","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2546, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=5236","layer":4},{"info":"number node, value=1920","layer":4},{"info":"compute binary expreesion, left_input=5236, right_input=1920, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=8265","layer":3},{"info":"compute unary expreesion, input=8265, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-16530","layer":2},{"info":"number node, value=1044","layer":4},{"info":"number node, value=8450","layer":4},{"info":"compute binary expreesion, left_input=1044, right_input=8450, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-184401","layer":3},{"info":"compute unary expreesion, input=-184401, 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=-16530, 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 = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((∂⋰*⋻842∀⇚≩⋰*⋻2019)⫥∨⫟(⋰*⋻866-⋰*⋻1345)⩷∴(⋰*⋻2133%⋰*⋻177A))∑⇟⊟((⋰*⋻3A30⋳⪒⋰*⋻1496≋⫹)/((⋰*⋻86A⪄⋰*⋻6392)∧))=NaN","reverse_text":"NaN=((∂⋰*⋻842∀⇚≩⋰*⋻2019)⫥∨⫟(⋰*⋻866-⋰*⋻1345)⩷∴(⋰*⋻2133%⋰*⋻177A))∑⇟⊟((⋰*⋻3A30⋳⪒⋰*⋻1496≋⫹)/((⋰*⋻86A⪄⋰*⋻6392)∧))","cot":[{"info":"⋰*⋻842∀⇚≩⋰*⋻2019=NaN","layer":3},{"info":"∂NaN=NaN","layer":2},{"info":"⋰*⋻866-⋰*⋻1345=⋰*⋻-58A","layer":3},{"info":"⋰*⋻2133%⋰*⋻177A=⋰*⋻464","layer":3},{"info":"⋰*⋻-58A⩷∴⋰*⋻464=⋰*⋻-1A05","layer":2},{"info":"NaN⫥∨⫟⋰*⋻-1A05=NaN","layer":1},{"info":"⋰*⋻3A30⋳⪒⋰*⋻1496=⋰*⋻6234","layer":3},{"info":"⋰*⋻6234≋⫹=⋰*⋻-11468","layer":2},{"info":"⋰*⋻86A⪄⋰*⋻6392=⋰*⋻-1165A8","layer":3},{"info":"⋰*⋻-1165A8∧=⋰*⋻0","layer":2},{"info":"⋰*⋻-11468/⋰*⋻0=NaN","layer":1},{"info":"NaN∑⇟⊟NaN=NaN","layer":0}]}
{"id":584,"expression_no_base_symbol":"(↽≂(⨈⫕(⨵≀≌$2802$)))⋥≓≎(($4496$⇷$1011$⪐)*($4544$⨁⊸⫻)↺($1403$⊉≛↸$5171$))","expression":"(↽≂(⨈⫕(⨵≀≌⋰*⋻2118)))⋥≓≎((⋰*⋻3418⇷⋰*⋻83A⪐)*(⋰*⋻3461⨁⊸⫻)↺(⋰*⋻1066⊉≛↸⋰*⋻3981))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":66159,"operation_count":10,"complexity_ratio":6615.9,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":2802,"base":11}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4496,"base":11},"right_expr":{"type":"numeric_atoms","value":1011,"base":11}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":4544,"base":11}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1403,"base":11},"right_expr":{"type":"numeric_atoms","value":5171,"base":11}}}}},"used_operators":["Qy55tPpLXF","u6S6b8DprG","megm06wKyl","srAu1WTS94","9HNa5Wba9A","eH2TOUuTDT","mp7IySMOzn","7j4O788W3g","glklzrTFfD","DZ8iAZOCBD"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻118A1035","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2802","layer":4},{"info":"compute unary expreesion, input=2802, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-8406","layer":3},{"info":"compute unary expreesion, input=-8406, 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 = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=42","layer":1},{"info":"number node, value=4496","layer":4},{"info":"number node, value=1011","layer":4},{"info":"compute binary expreesion, left_input=4496, right_input=1011, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2022","layer":3},{"info":"compute unary expreesion, input=2022, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=4044","layer":2},{"info":"number node, value=4544","layer":4},{"info":"compute unary expreesion, input=4544, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=4544","layer":3},{"info":"number node, value=1403","layer":4},{"info":"number node, value=5171","layer":4},{"info":"compute binary expreesion, left_input=1403, right_input=5171, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2806","layer":3},{"info":"compute binary expreesion, left_input=4544, right_input=2806, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2806","layer":2},{"info":"compute binary expreesion, left_input=4044, right_input=2806, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=11347464","layer":1},{"info":"compute binary expreesion, left_input=42, right_input=11347464, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=22694919","layer":0}],"base":11,"result_base":11,"text":"(↽≂(⨈⫕(⨵≀≌⋰*⋻2118)))⋥≓≎((⋰*⋻3418⇷⋰*⋻83A⪐)*(⋰*⋻3461⨁⊸⫻)↺(⋰*⋻1066⊉≛↸⋰*⋻3981))=⋰*⋻118A1035","reverse_text":"⋰*⋻118A1035=(↽≂(⨈⫕(⨵≀≌⋰*⋻2118)))⋥≓≎((⋰*⋻3418⇷⋰*⋻83A⪐)*(⋰*⋻3461⨁⊸⫻)↺(⋰*⋻1066⊉≛↸⋰*⋻3981))","cot":[{"info":"⨵≀≌⋰*⋻2118=⋰*⋻-6352","layer":3},{"info":"⨈⫕⋰*⋻-6352=⋰*⋻-1A","layer":2},{"info":"↽≂⋰*⋻-1A=⋰*⋻39","layer":1},{"info":"⋰*⋻3418⇷⋰*⋻83A=⋰*⋻1579","layer":3},{"info":"⋰*⋻1579⪐=⋰*⋻3047","layer":2},{"info":"⋰*⋻3461⨁⊸⫻=⋰*⋻3461","layer":3},{"info":"⋰*⋻1066⊉≛↸⋰*⋻3981=⋰*⋻2121","layer":3},{"info":"⋰*⋻3461↺⋰*⋻2121=⋰*⋻2121","layer":2},{"info":"⋰*⋻3047*⋰*⋻2121=⋰*⋻6450577","layer":1},{"info":"⋰*⋻39⋥≓≎⋰*⋻6450577=⋰*⋻118A1035","layer":0}]}
{"id":585,"expression_no_base_symbol":"(∂(⨵≀≌($1328$∧)))∑⇟⊟((≉$5868$⨰$4596$)⪨≂($4754$≫≃)⇷($1399$∑⇟⊟$2128$))","expression":"(∂(⨵≀≌(⋰*⋻AA8∧)))∑⇟⊟((≉⋰*⋻4455⨰⋰*⋻34A9)⪨≂(⋰*⋻3632≫≃)⇷(⋰*⋻1062∑⇟⊟⋰*⋻1665))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":152764,"operation_count":10,"complexity_ratio":15276.4,"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":1328,"base":11}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":5868,"base":11},"right_expr":{"type":"numeric_atoms","value":4596,"base":11}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":4754,"base":11}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1399,"base":11},"right_expr":{"type":"numeric_atoms","value":2128,"base":11}}}}},"used_operators":["U7g4x0WXJJ","Uaa54Peajs","srAu1WTS94","z63VuFQld9","sdazOOVcIp","e1ybzncUwg","eewbuw0ToL","mp7IySMOzn","X99M06cbEe"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1328","layer":4},{"info":"compute unary expreesion, input=1328, 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 = 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 = 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=5868","layer":4},{"info":"number node, value=4596","layer":4},{"info":"compute binary expreesion, left_input=5868, right_input=4596, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1282","layer":3},{"info":"compute unary expreesion, input=1282, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1813","layer":2},{"info":"number node, value=4754","layer":4},{"info":"compute unary expreesion, input=4754, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=10909","layer":3},{"info":"number node, value=1399","layer":4},{"info":"number node, value=2128","layer":4},{"info":"compute binary expreesion, left_input=1399, right_input=2128, 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=10909, 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=1813, 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 = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(∂(⨵≀≌(⋰*⋻AA8∧)))∑⇟⊟((≉⋰*⋻4455⨰⋰*⋻34A9)⪨≂(⋰*⋻3632≫≃)⇷(⋰*⋻1062∑⇟⊟⋰*⋻1665))=NaN","reverse_text":"NaN=(∂(⨵≀≌(⋰*⋻AA8∧)))∑⇟⊟((≉⋰*⋻4455⨰⋰*⋻34A9)⪨≂(⋰*⋻3632≫≃)⇷(⋰*⋻1062∑⇟⊟⋰*⋻1665))","cot":[{"info":"⋰*⋻AA8∧=NaN","layer":3},{"info":"⨵≀≌NaN=NaN","layer":2},{"info":"∂NaN=NaN","layer":1},{"info":"⋰*⋻4455⨰⋰*⋻34A9=⋰*⋻A66","layer":3},{"info":"≉⋰*⋻A66=⋰*⋻13A9","layer":2},{"info":"⋰*⋻3632≫≃=⋰*⋻8218","layer":3},{"info":"⋰*⋻1062∑⇟⊟⋰*⋻1665=NaN","layer":3},{"info":"⋰*⋻8218⇷NaN=NaN","layer":2},{"info":"⋰*⋻13A9⪨≂NaN=NaN","layer":1},{"info":"NaN∑⇟⊟NaN=NaN","layer":0}]}
{"id":586,"expression_no_base_symbol":"$4441$↬$1632$⨰(↩$4511$)+⇶⊼((⫛⫱⨽$2379$)⨎(↯⪼$3606$))+(⨵≀≌((∥⊫$2135$)⨵⪆($3383$⪠⩆⊳)))","expression":"⋰*⋻3378↬⋰*⋻1254⨰(↩⋰*⋻3431)+⇶⊼((⫛⫱⨽⋰*⋻1873)⨎(↯⪼⋰*⋻2789))+(⨵≀≌((∥⊫⋰*⋻1671)⨵⪆(⋰*⋻25A6⪠⩆⊳)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2113,"operation_count":12,"complexity_ratio":176.08333333333334,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4441,"base":11},"right_expr":{"type":"numeric_atoms","value":1632,"base":11}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":4511,"base":11}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2379,"base":11}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":3606,"base":11}}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":2135,"base":11}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":3383,"base":11}}}}},"used_operators":["W4YGzv6Whe","TpPTUOHfaN","eewbuw0ToL","B5M0gjZbta","jLgFTUHLKL","rJVOvQCfKK","DlLNRPXxWL","8jW3W4yZS5","srAu1WTS94","2DQ55sFlQl","P8v4zCKN1o","JLbD19bQDL"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rGHVDoGpnC","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4441","layer":4},{"info":"number node, value=1632","layer":4},{"info":"compute binary expreesion, left_input=4441, right_input=1632, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=4511","layer":4},{"info":"compute unary expreesion, input=4511, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-33308","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-33308, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"number node, value=2379","layer":4},{"info":"compute unary expreesion, input=2379, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=3606","layer":4},{"info":"compute unary expreesion, input=3606, 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 = 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=nan, right_input=-21, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=2135","layer":4},{"info":"compute unary expreesion, input=2135, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3003","layer":3},{"info":"number node, value=3383","layer":4},{"info":"compute unary expreesion, input=3383, 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=3003, 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 = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=25600","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=25600, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"⋰*⋻3378↬⋰*⋻1254⨰(↩⋰*⋻3431)+⇶⊼((⫛⫱⨽⋰*⋻1873)⨎(↯⪼⋰*⋻2789))+(⨵≀≌((∥⊫⋰*⋻1671)⨵⪆(⋰*⋻25A6⪠⩆⊳)))=NaN","reverse_text":"NaN=⋰*⋻3378↬⋰*⋻1254⨰(↩⋰*⋻3431)+⇶⊼((⫛⫱⨽⋰*⋻1873)⨎(↯⪼⋰*⋻2789))+(⨵≀≌((∥⊫⋰*⋻1671)⨵⪆(⋰*⋻25A6⪠⩆⊳)))","cot":[{"info":"⋰*⋻3378↬⋰*⋻1254=NaN","layer":3},{"info":"↩⋰*⋻3431=⋰*⋻-23030","layer":3},{"info":"NaN⨰⋰*⋻-23030=NaN","layer":2},{"info":"⫛⫱⨽⋰*⋻1873=⋰*⋻0","layer":3},{"info":"↯⪼⋰*⋻2789=⋰*⋻-1A","layer":3},{"info":"⋰*⋻0⨎⋰*⋻-1A=⋰*⋻-1A","layer":2},{"info":"NaN+⇶⊼⋰*⋻-1A=NaN","layer":1},{"info":"∥⊫⋰*⋻1671=⋰*⋻2290","layer":3},{"info":"⋰*⋻25A6⪠⩆⊳=⋰*⋻0","layer":3},{"info":"⋰*⋻2290⨵⪆⋰*⋻0=⋰*⋻136","layer":2},{"info":"⨵≀≌⋰*⋻136=⋰*⋻18263","layer":1},{"info":"NaN+⋰*⋻18263=NaN","layer":0}]}
{"id":587,"expression_no_base_symbol":"(($3089$≎⊠⪸$1088$)⨰$1547$↬$2971$⊉≛↸$6216$⩚⊴⇥$3266$⨽(⋗⩬⋾$1614$))⋥≓≎(⇁⨣⪵$1901$⨟⋌⩍$1469$∀⇚≩(⫛⫱⨽$8196$))","expression":"((⋰*⋻2359≎⊠⪸⋰*⋻8AA)⨰⋰*⋻1187↬⋰*⋻2261⊉≛↸⋰*⋻4741⩚⊴⇥⋰*⋻24AA⨽(⋗⩬⋾⋰*⋻1238))⋥≓≎(⇁⨣⪵⋰*⋻1479⨟⋌⩍⋰*⋻1116∀⇚≩(⫛⫱⨽⋰*⋻6181))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":11324,"operation_count":12,"complexity_ratio":943.6666666666666,"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":3089,"base":11},"right_expr":{"type":"numeric_atoms","value":1088,"base":11}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1547,"base":11},"right_expr":{"type":"numeric_atoms","value":2971,"base":11}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":6216,"base":11},"right_expr":{"type":"numeric_atoms","value":3266,"base":11}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1614,"base":11}}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1901,"base":11},"right_expr":{"type":"numeric_atoms","value":1469,"base":11}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":8196,"base":11}}}}},"used_operators":["Qy55tPpLXF","DZ8iAZOCBD","eewbuw0ToL","bJkvcejdHO","B5M0gjZbta","8HhzD0ZcuI","NTOWxs364D","DpFCA1CohY","inkyxCbjAn","LRNGc0VcxI","rGHVDoGpnC","DlLNRPXxWL"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rGHVDoGpnC","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","X99M06cbEe","Tcnh7f0tEr","rGHVDoGpnC"],"result":"⋰*⋻61","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3089","layer":4},{"info":"number node, value=1088","layer":4},{"info":"compute binary expreesion, left_input=3089, right_input=1088, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=799578","layer":3},{"info":"number node, value=1547","layer":4},{"info":"number node, value=2971","layer":4},{"info":"compute binary expreesion, left_input=1547, right_input=2971, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=799578, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"number node, value=6216","layer":4},{"info":"number node, value=3266","layer":4},{"info":"compute binary expreesion, left_input=6216, right_input=3266, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-9603","layer":3},{"info":"number node, value=1614","layer":4},{"info":"compute unary expreesion, input=1614, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-4842","layer":3},{"info":"compute binary expreesion, left_input=-9603, right_input=-4842, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-276636987","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-276636987, 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=1901","layer":4},{"info":"number node, value=1469","layer":4},{"info":"compute binary expreesion, left_input=1901, right_input=1469, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=8196","layer":4},{"info":"compute unary expreesion, input=8196, 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 = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻2359≎⊠⪸⋰*⋻8AA)⨰⋰*⋻1187↬⋰*⋻2261⊉≛↸⋰*⋻4741⩚⊴⇥⋰*⋻24AA⨽(⋗⩬⋾⋰*⋻1238))⋥≓≎(⇁⨣⪵⋰*⋻1479⨟⋌⩍⋰*⋻1116∀⇚≩(⫛⫱⨽⋰*⋻6181))=⋰*⋻61","reverse_text":"⋰*⋻61=((⋰*⋻2359≎⊠⪸⋰*⋻8AA)⨰⋰*⋻1187↬⋰*⋻2261⊉≛↸⋰*⋻4741⩚⊴⇥⋰*⋻24AA⨽(⋗⩬⋾⋰*⋻1238))⋥≓≎(⇁⨣⪵⋰*⋻1479⨟⋌⩍⋰*⋻1116∀⇚≩(⫛⫱⨽⋰*⋻6181))","cot":[{"info":"⋰*⋻2359≎⊠⪸⋰*⋻8AA=⋰*⋻4A680A","layer":3},{"info":"⋰*⋻1187↬⋰*⋻2261=NaN","layer":3},{"info":"⋰*⋻4A680A⨰NaN=NaN","layer":2},{"info":"⋰*⋻4741⩚⊴⇥⋰*⋻24AA=⋰*⋻-7240","layer":3},{"info":"⋗⩬⋾⋰*⋻1238=⋰*⋻-3702","layer":3},{"info":"⋰*⋻-7240⨽⋰*⋻-3702=⋰*⋻-132177510","layer":2},{"info":"NaN⊉≛↸⋰*⋻-132177510=NaN","layer":1},{"info":"⋰*⋻1479⨟⋌⩍⋰*⋻1116=NaN","layer":3},{"info":"⫛⫱⨽⋰*⋻6181=⋰*⋻0","layer":3},{"info":"NaN∀⇚≩⋰*⋻0=NaN","layer":2},{"info":"⇁⨣⪵NaN=NaN","layer":1},{"info":"NaN⋥≓≎NaN=⋰*⋻61","layer":0}]}
{"id":588,"expression_no_base_symbol":"(($2382$≎⊠⪸$3350$)⨟⋌⩍(⫓⪴$3257$)≧⫂∧($1783$⊉≛↸$1644$)∀⇚≩($1139$≦≮≮))∼(↽≂($6831$≋⫹)∀⇚≩(+⊝⨔$2623$))","expression":"((⋰*⋻1876≎⊠⪸⋰*⋻2576)⨟⋌⩍(⫓⪴⋰*⋻24A1)≧⫂∧(⋰*⋻1381⊉≛↸⋰*⋻1265)∀⇚≩(⋰*⋻946≦≮≮))∼(↽≂(⋰*⋻5150≋⫹)∀⇚≩(+⊝⨔⋰*⋻1A75))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":124179,"operation_count":12,"complexity_ratio":10348.25,"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":2382,"base":11},"right_expr":{"type":"numeric_atoms","value":3350,"base":11}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":3257,"base":11}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1783,"base":11},"right_expr":{"type":"numeric_atoms","value":1644,"base":11}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1139,"base":11}}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":6831,"base":11}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2623,"base":11}}}}},"used_operators":["DyGG3AbaNP","Ph9nP6C5qx","rGHVDoGpnC","bJkvcejdHO","eLxqMNBOBk","LRNGc0VcxI","DZ8iAZOCBD","D4vGDi5EA2","u6S6b8DprG","N41Kp7NANJ","DhbWaqg5eL"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","9HNa5Wba9A","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2382","layer":4},{"info":"number node, value=3350","layer":4},{"info":"compute binary expreesion, left_input=2382, right_input=3350, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=616465","layer":3},{"info":"number node, value=3257","layer":4},{"info":"compute unary expreesion, input=3257, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=10608049","layer":3},{"info":"compute binary expreesion, left_input=616465, right_input=10608049, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1783","layer":4},{"info":"number node, value=1644","layer":4},{"info":"compute binary expreesion, left_input=1783, right_input=1644, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3566","layer":3},{"info":"number node, value=1139","layer":4},{"info":"compute unary expreesion, input=1139, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-3417","layer":3},{"info":"compute binary expreesion, left_input=3566, right_input=-3417, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":1},{"info":"number node, value=6831","layer":4},{"info":"compute unary expreesion, input=6831, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-13662","layer":3},{"info":"number node, value=2623","layer":4},{"info":"compute unary expreesion, input=2623, 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=-13662, 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 = 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 = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1876≎⊠⪸⋰*⋻2576)⨟⋌⩍(⫓⪴⋰*⋻24A1)≧⫂∧(⋰*⋻1381⊉≛↸⋰*⋻1265)∀⇚≩(⋰*⋻946≦≮≮))∼(↽≂(⋰*⋻5150≋⫹)∀⇚≩(+⊝⨔⋰*⋻1A75))=NaN","reverse_text":"NaN=((⋰*⋻1876≎⊠⪸⋰*⋻2576)⨟⋌⩍(⫓⪴⋰*⋻24A1)≧⫂∧(⋰*⋻1381⊉≛↸⋰*⋻1265)∀⇚≩(⋰*⋻946≦≮≮))∼(↽≂(⋰*⋻5150≋⫹)∀⇚≩(+⊝⨔⋰*⋻1A75))","cot":[{"info":"⋰*⋻1876≎⊠⪸⋰*⋻2576=⋰*⋻391183","layer":3},{"info":"⫓⪴⋰*⋻24A1=⋰*⋻5A95A91","layer":3},{"info":"⋰*⋻391183⨟⋌⩍⋰*⋻5A95A91=NaN","layer":2},{"info":"⋰*⋻1381⊉≛↸⋰*⋻1265=⋰*⋻2752","layer":3},{"info":"⋰*⋻946≦≮≮=⋰*⋻-2627","layer":3},{"info":"⋰*⋻2752∀⇚≩⋰*⋻-2627=NaN","layer":2},{"info":"NaN≧⫂∧NaN=NaN","layer":1},{"info":"⋰*⋻5150≋⫹=⋰*⋻-A2A0","layer":3},{"info":"+⊝⨔⋰*⋻1A75=⋰*⋻1164","layer":3},{"info":"⋰*⋻-A2A0∀⇚≩⋰*⋻1164=NaN","layer":2},{"info":"↽≂NaN=NaN","layer":1},{"info":"NaN∼NaN=NaN","layer":0}]}
{"id":589,"expression_no_base_symbol":"(⇁⨣⪵(↯⪼$2099$))⪮%⊝($7087$⪒$1448$)⪢($1041$⩠)⪨≂(↯⪼(↩$1262$⋝⋈⪟$4121$))","expression":"(⇁⨣⪵(↯⪼⋰*⋻1639))⪮%⊝(⋰*⋻5363⪒⋰*⋻10A7)⪢(⋰*⋻867⩠)⪨≂(↯⪼(↩⋰*⋻A48⋝⋈⪟⋰*⋻3107))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":223,"operation_count":10,"complexity_ratio":22.3,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2099,"base":11}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":7087,"base":11},"right_expr":{"type":"numeric_atoms","value":1448,"base":11}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1041,"base":11}}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1262,"base":11},"right_expr":{"type":"numeric_atoms","value":4121,"base":11}}}}},"used_operators":["sdazOOVcIp","IWmyXbctLI","inkyxCbjAn","8jW3W4yZS5","dWAJyo7jo9","f6k1SAg4EE","sJAwomhLZr","jLgFTUHLKL","2DDjHMKMc0"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","B5M0gjZbta","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2099","layer":4},{"info":"compute unary expreesion, input=2099, 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 = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=0","layer":2},{"info":"number node, value=7087","layer":4},{"info":"number node, value=1448","layer":4},{"info":"compute binary expreesion, left_input=7087, right_input=1448, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8535","layer":3},{"info":"number node, value=1041","layer":4},{"info":"compute unary expreesion, input=1041, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-8535, right_input=0, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"number node, value=1262","layer":4},{"info":"number node, value=4121","layer":4},{"info":"compute binary expreesion, left_input=1262, right_input=4121, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1262","layer":3},{"info":"compute unary expreesion, input=1262, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-7316","layer":2},{"info":"compute unary expreesion, input=-7316, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=13715","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=13715, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⇁⨣⪵(↯⪼⋰*⋻1639))⪮%⊝(⋰*⋻5363⪒⋰*⋻10A7)⪢(⋰*⋻867⩠)⪨≂(↯⪼(↩⋰*⋻A48⋝⋈⪟⋰*⋻3107))=NaN","reverse_text":"NaN=(⇁⨣⪵(↯⪼⋰*⋻1639))⪮%⊝(⋰*⋻5363⪒⋰*⋻10A7)⪢(⋰*⋻867⩠)⪨≂(↯⪼(↩⋰*⋻A48⋝⋈⪟⋰*⋻3107))","cot":[{"info":"↯⪼⋰*⋻1639=⋰*⋻-1A","layer":3},{"info":"⇁⨣⪵⋰*⋻-1A=⋰*⋻0","layer":2},{"info":"⋰*⋻5363⪒⋰*⋻10A7=⋰*⋻-645A","layer":3},{"info":"⋰*⋻867⩠=⋰*⋻0","layer":3},{"info":"⋰*⋻-645A⪢⋰*⋻0=⋰*⋻0","layer":2},{"info":"⋰*⋻0⪮%⊝⋰*⋻0=NaN","layer":1},{"info":"⋰*⋻A48⋝⋈⪟⋰*⋻3107=⋰*⋻A48","layer":3},{"info":"↩⋰*⋻A48=⋰*⋻-5551","layer":2},{"info":"↯⪼⋰*⋻-5551=⋰*⋻A339","layer":1},{"info":"NaN⪨≂⋰*⋻A339=NaN","layer":0}]}
{"id":590,"expression_no_base_symbol":"(($1524$⨓$2326$⊭↱$1323$⊴$5170$)≫≃)+⇶⊼((($1322$↪⪝)⇋≉)≋⫹)","expression":"((⋰*⋻1166⨓⋰*⋻1825⊭↱⋰*⋻AA3⊴⋰*⋻3980)≫≃)+⇶⊼(((⋰*⋻AA2↪⪝)⇋≉)≋⫹)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":8228,"operation_count":8,"complexity_ratio":1028.5,"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":1524,"base":11},"right_expr":{"type":"numeric_atoms","value":2326,"base":11}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1323,"base":11},"right_expr":{"type":"numeric_atoms","value":5170,"base":11}}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1322,"base":11}}}}},"used_operators":["TpPTUOHfaN","X99M06cbEe","COABgblf1C","3ViojmjbAp","Nsiff2A1zJ","N41Kp7NANJ","XIabStNQrY","l07mrZUIn9"],"dependent_operators":["AHs5Up7iyr","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1524","layer":4},{"info":"number node, value=2326","layer":4},{"info":"compute binary expreesion, left_input=1524, right_input=2326, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2329","layer":3},{"info":"number node, value=1323","layer":4},{"info":"number node, value=5170","layer":4},{"info":"compute binary expreesion, left_input=1323, right_input=5170, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2329, 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 = 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=1322","layer":4},{"info":"compute unary expreesion, input=1322, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=80882604","layer":3},{"info":"compute unary expreesion, input=80882604, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=161765110","layer":2},{"info":"compute unary expreesion, input=161765110, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-323530220","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-323530220, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1166⨓⋰*⋻1825⊭↱⋰*⋻AA3⊴⋰*⋻3980)≫≃)+⇶⊼(((⋰*⋻AA2↪⪝)⇋≉)≋⫹)=NaN","reverse_text":"NaN=((⋰*⋻1166⨓⋰*⋻1825⊭↱⋰*⋻AA3⊴⋰*⋻3980)≫≃)+⇶⊼(((⋰*⋻AA2↪⪝)⇋≉)≋⫹)","cot":[{"info":"⋰*⋻1166⨓⋰*⋻1825=⋰*⋻-1828","layer":3},{"info":"⋰*⋻AA3⊴⋰*⋻3980=NaN","layer":3},{"info":"⋰*⋻-1828⊭↱NaN=NaN","layer":2},{"info":"NaN≫≃=NaN","layer":1},{"info":"⋰*⋻AA2↪⪝=⋰*⋻41724330","layer":3},{"info":"⋰*⋻41724330⇋≉=⋰*⋻83348581","layer":2},{"info":"⋰*⋻83348581≋⫹=⋰*⋻-156696052","layer":1},{"info":"NaN+⇶⊼⋰*⋻-156696052=NaN","layer":0}]}
{"id":591,"expression_no_base_symbol":"$3912$⪛$1733$⨰($1005$≭$2932$)≭($2457$⪨≂$1182$)⋝⋈⪟(-$1547$)⨸⪁((⋗⩬⋾$2189$)⊭↱$1575$⋝⋈⪟$1213$)∀⇚≩($4953$-$2933$)⪮%⊝($1386$≧⫂∧$3042$)","expression":"⋰*⋻2A37⪛⋰*⋻1336⨰(⋰*⋻834≭⋰*⋻2226)≭(⋰*⋻1934⪨≂⋰*⋻985)⋝⋈⪟(-⋰*⋻1187)⨸⪁((⋗⩬⋾⋰*⋻1710)⊭↱⋰*⋻1202⋝⋈⪟⋰*⋻A03)∀⇚≩(⋰*⋻37A3-⋰*⋻2227)⪮%⊝(⋰*⋻1050≧⫂∧⋰*⋻2316)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":114071,"operation_count":15,"complexity_ratio":7604.733333333334,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3912,"base":11},"right_expr":{"type":"numeric_atoms","value":1733,"base":11}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1005,"base":11},"right_expr":{"type":"numeric_atoms","value":2932,"base":11}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2457,"base":11},"right_expr":{"type":"numeric_atoms","value":1182,"base":11}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1547,"base":11}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":2189,"base":11}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1575,"base":11},"right_expr":{"type":"numeric_atoms","value":1213,"base":11}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4953,"base":11},"right_expr":{"type":"numeric_atoms","value":2933,"base":11}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1386,"base":11},"right_expr":{"type":"numeric_atoms","value":3042,"base":11}}}}},"used_operators":["g55IO6H4Gj","rxpJgHHUmx","eewbuw0ToL","uFcxV4UQCh","2DDjHMKMc0","sdazOOVcIp","t8gj7n24qd","LRNGc0VcxI","COABgblf1C","DpFCA1CohY","IWmyXbctLI","rysDP5nf3Z","Ph9nP6C5qx"],"dependent_operators":["W4YGzv6Whe","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3912","layer":4},{"info":"number node, value=1733","layer":4},{"info":"compute binary expreesion, left_input=3912, right_input=1733, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=446","layer":3},{"info":"number node, value=1005","layer":4},{"info":"number node, value=2932","layer":4},{"info":"compute binary expreesion, left_input=1005, right_input=2932, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=446, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"number node, value=2457","layer":4},{"info":"number node, value=1182","layer":4},{"info":"compute binary expreesion, left_input=2457, right_input=1182, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=2652","layer":3},{"info":"number node, value=1547","layer":4},{"info":"compute unary expreesion, input=1547, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1547","layer":3},{"info":"compute binary expreesion, left_input=2652, right_input=-1547, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2652","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2652, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=2189","layer":4},{"info":"compute unary expreesion, input=2189, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-6567","layer":3},{"info":"number node, value=1575","layer":4},{"info":"number node, value=1213","layer":4},{"info":"compute binary expreesion, left_input=1575, right_input=1213, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1575","layer":3},{"info":"compute binary expreesion, left_input=-6567, right_input=1575, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=16289","layer":2},{"info":"number node, value=4953","layer":4},{"info":"number node, value=2933","layer":4},{"info":"compute binary expreesion, left_input=4953, right_input=2933, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2020","layer":3},{"info":"number node, value=1386","layer":4},{"info":"number node, value=3042","layer":4},{"info":"compute binary expreesion, left_input=1386, right_input=3042, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2569","layer":3},{"info":"compute binary expreesion, left_input=2020, right_input=2569, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4356","layer":2},{"info":"compute binary expreesion, left_input=16289, right_input=4356, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⋰*⋻2A37⪛⋰*⋻1336⨰(⋰*⋻834≭⋰*⋻2226)≭(⋰*⋻1934⪨≂⋰*⋻985)⋝⋈⪟(-⋰*⋻1187)⨸⪁((⋗⩬⋾⋰*⋻1710)⊭↱⋰*⋻1202⋝⋈⪟⋰*⋻A03)∀⇚≩(⋰*⋻37A3-⋰*⋻2227)⪮%⊝(⋰*⋻1050≧⫂∧⋰*⋻2316)=NaN","reverse_text":"NaN=⋰*⋻2A37⪛⋰*⋻1336⨰(⋰*⋻834≭⋰*⋻2226)≭(⋰*⋻1934⪨≂⋰*⋻985)⋝⋈⪟(-⋰*⋻1187)⨸⪁((⋗⩬⋾⋰*⋻1710)⊭↱⋰*⋻1202⋝⋈⪟⋰*⋻A03)∀⇚≩(⋰*⋻37A3-⋰*⋻2227)⪮%⊝(⋰*⋻1050≧⫂∧⋰*⋻2316)","cot":[{"info":"⋰*⋻2A37⪛⋰*⋻1336=⋰*⋻376","layer":3},{"info":"⋰*⋻834≭⋰*⋻2226=NaN","layer":3},{"info":"⋰*⋻376⨰NaN=NaN","layer":2},{"info":"⋰*⋻1934⪨≂⋰*⋻985=⋰*⋻1AA1","layer":3},{"info":"-⋰*⋻1187=⋰*⋻-1187","layer":3},{"info":"⋰*⋻1AA1⋝⋈⪟⋰*⋻-1187=⋰*⋻1AA1","layer":2},{"info":"NaN≭⋰*⋻1AA1=NaN","layer":1},{"info":"⋗⩬⋾⋰*⋻1710=⋰*⋻-4A30","layer":3},{"info":"⋰*⋻1202⋝⋈⪟⋰*⋻A03=⋰*⋻1202","layer":3},{"info":"⋰*⋻-4A30⊭↱⋰*⋻1202=⋰*⋻11269","layer":2},{"info":"⋰*⋻37A3-⋰*⋻2227=⋰*⋻1577","layer":3},{"info":"⋰*⋻1050≧⫂∧⋰*⋻2316=⋰*⋻1A26","layer":3},{"info":"⋰*⋻1577⪮%⊝⋰*⋻1A26=⋰*⋻3300","layer":2},{"info":"⋰*⋻11269∀⇚≩⋰*⋻3300=NaN","layer":1},{"info":"NaN⨸⪁NaN=NaN","layer":0}]}
{"id":592,"expression_no_base_symbol":"((↯⪼(∂$2626$))⪘⫢(⨑⩽⪐(⨰⫟⨤$2252$)))⨟⋌⩍((⨞⊢($1121$⫸⊐$3197$))+⇶⊼(⩦⩻⨪$7654$≎⊠⪸$1015$))","expression":"((↯⪼(∂⋰*⋻1A78))⪘⫢(⨑⩽⪐(⨰⫟⨤⋰*⋻1768)))⨟⋌⩍((⨞⊢(⋰*⋻92A⫸⊐⋰*⋻2447))+⇶⊼(⩦⩻⨪⋰*⋻5829≎⊠⪸⋰*⋻843))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":8517,"operation_count":11,"complexity_ratio":774.2727272727273,"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":2626,"base":11}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2252,"base":11}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1121,"base":11},"right_expr":{"type":"numeric_atoms","value":3197,"base":11}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":7654,"base":11},"right_expr":{"type":"numeric_atoms","value":1015,"base":11}}}}},"used_operators":["rGHVDoGpnC","oacrs7FA3X","8jW3W4yZS5","Uaa54Peajs","AF7qkfDlqP","Tw270M8GLb","TpPTUOHfaN","xUOZtlo3hN","mqXw5SEYmG","2td37pGCOC","bJkvcejdHO"],"dependent_operators":["Tcnh7f0tEr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2626","layer":4},{"info":"compute unary expreesion, input=2626, 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 = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"number node, value=2252","layer":4},{"info":"compute unary expreesion, input=2252, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":1},{"info":"number node, value=1121","layer":4},{"info":"number node, value=3197","layer":4},{"info":"compute binary expreesion, left_input=1121, right_input=3197, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=12663","layer":3},{"info":"compute unary expreesion, input=12663, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-12837","layer":2},{"info":"number node, value=7654","layer":4},{"info":"number node, value=1015","layer":4},{"info":"compute binary expreesion, left_input=7654, right_input=1015, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1981913","layer":3},{"info":"compute unary expreesion, input=1981913, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1981913","layer":2},{"info":"compute binary expreesion, left_input=-12837, right_input=1981913, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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":11,"result_base":11,"text":"((↯⪼(∂⋰*⋻1A78))⪘⫢(⨑⩽⪐(⨰⫟⨤⋰*⋻1768)))⨟⋌⩍((⨞⊢(⋰*⋻92A⫸⊐⋰*⋻2447))+⇶⊼(⩦⩻⨪⋰*⋻5829≎⊠⪸⋰*⋻843))=NaN","reverse_text":"NaN=((↯⪼(∂⋰*⋻1A78))⪘⫢(⨑⩽⪐(⨰⫟⨤⋰*⋻1768)))⨟⋌⩍((⨞⊢(⋰*⋻92A⫸⊐⋰*⋻2447))+⇶⊼(⩦⩻⨪⋰*⋻5829≎⊠⪸⋰*⋻843))","cot":[{"info":"∂⋰*⋻1A78=NaN","layer":3},{"info":"↯⪼NaN=⋰*⋻-1A","layer":2},{"info":"⨰⫟⨤⋰*⋻1768=NaN","layer":3},{"info":"⨑⩽⪐NaN=NaN","layer":2},{"info":"⋰*⋻-1A⪘⫢NaN=NaN","layer":1},{"info":"⋰*⋻92A⫸⊐⋰*⋻2447=⋰*⋻9572","layer":3},{"info":"⨞⊢⋰*⋻9572=⋰*⋻-9710","layer":2},{"info":"⋰*⋻5829≎⊠⪸⋰*⋻843=⋰*⋻113404A","layer":3},{"info":"⩦⩻⨪⋰*⋻113404A=⋰*⋻113404A","layer":2},{"info":"⋰*⋻-9710+⇶⊼⋰*⋻113404A=NaN","layer":1},{"info":"NaN⨟⋌⩍NaN=NaN","layer":0}]}
{"id":593,"expression_no_base_symbol":"$2230$≹⇙⪍$1233$⫥∨⫟$1032$⪘⫢$5446$⫡⨏($6707$⨽$3330$⫡⨏(⊄⩳↩$4428$))+(($1208$⪨≂$3121$)+⇶⊼($1593$+⇶⊼$3747$))⨓(⇁⨣⪵($1238$⪨≂$7112$))","expression":"⋰*⋻1748≹⇙⪍⋰*⋻A21⫥∨⫟⋰*⋻859⪘⫢⋰*⋻4101⫡⨏(⋰*⋻5048⨽⋰*⋻2558⫡⨏(⊄⩳↩⋰*⋻3366))+((⋰*⋻9A9⪨≂⋰*⋻2388)+⇶⊼(⋰*⋻1219+⇶⊼⋰*⋻28A7))⨓(⇁⨣⪵(⋰*⋻A26⪨≂⋰*⋻5386))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6924,"operation_count":14,"complexity_ratio":494.57142857142856,"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":2230,"base":11},"right_expr":{"type":"numeric_atoms","value":1233,"base":11}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1032,"base":11},"right_expr":{"type":"numeric_atoms","value":5446,"base":11}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":6707,"base":11},"right_expr":{"type":"numeric_atoms","value":3330,"base":11}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":4428,"base":11}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1208,"base":11},"right_expr":{"type":"numeric_atoms","value":3121,"base":11}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1593,"base":11},"right_expr":{"type":"numeric_atoms","value":3747,"base":11}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1238,"base":11},"right_expr":{"type":"numeric_atoms","value":7112,"base":11}}}}},"used_operators":["W4YGzv6Whe","QMFrweE19q","KYD54nUTWz","AHs5Up7iyr","oacrs7FA3X","8HhzD0ZcuI","8w2t5hMYqp","3ViojmjbAp","TpPTUOHfaN","sdazOOVcIp","inkyxCbjAn"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2230","layer":4},{"info":"number node, value=1233","layer":4},{"info":"compute binary expreesion, left_input=2230, right_input=1233, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=1032","layer":4},{"info":"number node, value=5446","layer":4},{"info":"compute binary expreesion, left_input=1032, right_input=5446, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=1940","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1940, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=6707","layer":4},{"info":"number node, value=3330","layer":4},{"info":"compute binary expreesion, left_input=6707, right_input=3330, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-134960223","layer":3},{"info":"number node, value=4428","layer":4},{"info":"compute unary expreesion, input=4428, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-13284","layer":3},{"info":"compute binary expreesion, left_input=-134960223, right_input=-13284, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-674826900","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-674826900, op_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=1208","layer":4},{"info":"number node, value=3121","layer":4},{"info":"compute binary expreesion, left_input=1208, right_input=3121, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-3724","layer":3},{"info":"number node, value=1593","layer":4},{"info":"number node, value=3747","layer":4},{"info":"compute binary expreesion, left_input=1593, right_input=3747, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=-3724, 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=1238","layer":4},{"info":"number node, value=7112","layer":4},{"info":"compute binary expreesion, left_input=1238, right_input=7112, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-11646","layer":3},{"info":"compute unary expreesion, input=-11646, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"⋰*⋻1748≹⇙⪍⋰*⋻A21⫥∨⫟⋰*⋻859⪘⫢⋰*⋻4101⫡⨏(⋰*⋻5048⨽⋰*⋻2558⫡⨏(⊄⩳↩⋰*⋻3366))+((⋰*⋻9A9⪨≂⋰*⋻2388)+⇶⊼(⋰*⋻1219+⇶⊼⋰*⋻28A7))⨓(⇁⨣⪵(⋰*⋻A26⪨≂⋰*⋻5386))=NaN","reverse_text":"NaN=⋰*⋻1748≹⇙⪍⋰*⋻A21⫥∨⫟⋰*⋻859⪘⫢⋰*⋻4101⫡⨏(⋰*⋻5048⨽⋰*⋻2558⫡⨏(⊄⩳↩⋰*⋻3366))+((⋰*⋻9A9⪨≂⋰*⋻2388)+⇶⊼(⋰*⋻1219+⇶⊼⋰*⋻28A7))⨓(⇁⨣⪵(⋰*⋻A26⪨≂⋰*⋻5386))","cot":[{"info":"⋰*⋻1748≹⇙⪍⋰*⋻A21=NaN","layer":3},{"info":"⋰*⋻859⪘⫢⋰*⋻4101=⋰*⋻1504","layer":3},{"info":"NaN⫥∨⫟⋰*⋻1504=NaN","layer":2},{"info":"⋰*⋻5048⨽⋰*⋻2558=⋰*⋻-6A1AA682","layer":3},{"info":"⊄⩳↩⋰*⋻3366=⋰*⋻-9A87","layer":3},{"info":"⋰*⋻-6A1AA682⫡⨏⋰*⋻-9A87=⋰*⋻-316A16490","layer":2},{"info":"NaN⫡⨏⋰*⋻-316A16490=NaN","layer":1},{"info":"⋰*⋻9A9⪨≂⋰*⋻2388=⋰*⋻-2886","layer":3},{"info":"⋰*⋻1219+⇶⊼⋰*⋻28A7=NaN","layer":3},{"info":"⋰*⋻-2886+⇶⊼NaN=NaN","layer":2},{"info":"⋰*⋻A26⪨≂⋰*⋻5386=⋰*⋻-8828","layer":3},{"info":"⇁⨣⪵⋰*⋻-8828=NaN","layer":2},{"info":"NaN⨓NaN=NaN","layer":1},{"info":"NaN+NaN=NaN","layer":0}]}
{"id":594,"expression_no_base_symbol":"((⫓⪴$2988$⪛$5589$)↙($2822$⫥∨⫟$1486$)⨪↰⇹(↣≠⋷$8267$))⨓((⋗⩬⋾$6004$)⨓($8436$≎⊠⪸$3414$)⫸⊐($3205$↙$1204$)∑⇟⊟(∂$2138$))","expression":"((⫓⪴⋰*⋻2277⪛⋰*⋻4221)↙(⋰*⋻2136⫥∨⫟⋰*⋻1131)⨪↰⇹(↣≠⋷⋰*⋻6236))⨓((⋗⩬⋾⋰*⋻4569)⨓(⋰*⋻637A≎⊠⪸⋰*⋻2624)⫸⊐(⋰*⋻2454↙⋰*⋻9A5)∑⇟⊟(∂⋰*⋻1674))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4654,"operation_count":14,"complexity_ratio":332.42857142857144,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2988,"base":11},"right_expr":{"type":"numeric_atoms","value":5589,"base":11}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2822,"base":11},"right_expr":{"type":"numeric_atoms","value":1486,"base":11}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":8267,"base":11}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":6004,"base":11}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":8436,"base":11},"right_expr":{"type":"numeric_atoms","value":3414,"base":11}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3205,"base":11},"right_expr":{"type":"numeric_atoms","value":1204,"base":11}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2138,"base":11}}}}},"used_operators":["3ViojmjbAp","yyfyN0ffXY","eLxqMNBOBk","uFcxV4UQCh","tmPS8pqC7x","KYD54nUTWz","Asc51vEJeQ","mqXw5SEYmG","DpFCA1CohY","bJkvcejdHO","U7g4x0WXJJ","Uaa54Peajs"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","tmPS8pqC7x","DpFCA1CohY","9HNa5Wba9A","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rJVOvQCfKK","8HhzD0ZcuI","rGHVDoGpnC","XhwjNDsVaA","AHs5Up7iyr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2988","layer":4},{"info":"number node, value=5589","layer":4},{"info":"compute binary expreesion, left_input=2988, right_input=5589, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2988","layer":3},{"info":"compute unary expreesion, input=2988, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=8928144","layer":2},{"info":"number node, value=2822","layer":4},{"info":"number node, value=1486","layer":4},{"info":"compute binary expreesion, left_input=2822, right_input=1486, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=8267","layer":4},{"info":"compute unary expreesion, input=8267, 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 = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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=8928144, 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=6004","layer":4},{"info":"compute unary expreesion, input=6004, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-18012","layer":3},{"info":"number node, value=8436","layer":4},{"info":"number node, value=3414","layer":4},{"info":"compute binary expreesion, left_input=8436, right_input=3414, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=2184451","layer":3},{"info":"compute binary expreesion, left_input=-18012, right_input=2184451, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"number node, value=3205","layer":4},{"info":"number node, value=1204","layer":4},{"info":"compute binary expreesion, left_input=3205, right_input=1204, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3612","layer":3},{"info":"number node, value=2138","layer":4},{"info":"compute unary expreesion, input=2138, 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=-3612, 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 = 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 = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⫓⪴⋰*⋻2277⪛⋰*⋻4221)↙(⋰*⋻2136⫥∨⫟⋰*⋻1131)⨪↰⇹(↣≠⋷⋰*⋻6236))⨓((⋗⩬⋾⋰*⋻4569)⨓(⋰*⋻637A≎⊠⪸⋰*⋻2624)⫸⊐(⋰*⋻2454↙⋰*⋻9A5)∑⇟⊟(∂⋰*⋻1674))=NaN","reverse_text":"NaN=((⫓⪴⋰*⋻2277⪛⋰*⋻4221)↙(⋰*⋻2136⫥∨⫟⋰*⋻1131)⨪↰⇹(↣≠⋷⋰*⋻6236))⨓((⋗⩬⋾⋰*⋻4569)⨓(⋰*⋻637A≎⊠⪸⋰*⋻2624)⫸⊐(⋰*⋻2454↙⋰*⋻9A5)∑⇟⊟(∂⋰*⋻1674))","cot":[{"info":"⋰*⋻2277⪛⋰*⋻4221=⋰*⋻2277","layer":3},{"info":"⫓⪴⋰*⋻2277=⋰*⋻5048935","layer":2},{"info":"⋰*⋻2136⫥∨⫟⋰*⋻1131=NaN","layer":3},{"info":"↣≠⋷⋰*⋻6236=NaN","layer":3},{"info":"NaN⨪↰⇹NaN=NaN","layer":2},{"info":"⋰*⋻5048935↙NaN=NaN","layer":1},{"info":"⋗⩬⋾⋰*⋻4569=⋰*⋻-12595","layer":3},{"info":"⋰*⋻637A≎⊠⪸⋰*⋻2624=⋰*⋻1262235","layer":3},{"info":"⋰*⋻-12595⨓⋰*⋻1262235=NaN","layer":2},{"info":"⋰*⋻2454↙⋰*⋻9A5=⋰*⋻-2794","layer":3},{"info":"∂⋰*⋻1674=NaN","layer":3},{"info":"⋰*⋻-2794∑⇟⊟NaN=NaN","layer":2},{"info":"NaN⫸⊐NaN=NaN","layer":1},{"info":"NaN⨓NaN=NaN","layer":0}]}
{"id":595,"expression_no_base_symbol":"(($1920$⪨≂$1929$)⨰$2062$⨓$4251$⪨≂$6237$⪮%⊝$2227$⫸⊐(⊙↵-$3074$))⨟⋌⩍(((≤/$1575$)∸)⨪↰⇹(↩($4650$/$7044$)))","expression":"((⋰*⋻1496⪨≂⋰*⋻14A4)⨰⋰*⋻1605⨓⋰*⋻3215⪨≂⋰*⋻4760⪮%⊝⋰*⋻1745⫸⊐(⊙↵-⋰*⋻2345))⨟⋌⩍(((≤/⋰*⋻1202)∸)⨪↰⇹(↩(⋰*⋻3548/⋰*⋻5324)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":9019,"operation_count":13,"complexity_ratio":693.7692307692307,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1920,"base":11},"right_expr":{"type":"numeric_atoms","value":1929,"base":11}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2062,"base":11},"right_expr":{"type":"numeric_atoms","value":4251,"base":11}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":6237,"base":11},"right_expr":{"type":"numeric_atoms","value":2227,"base":11}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":3074,"base":11}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1575,"base":11}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4650,"base":11},"right_expr":{"type":"numeric_atoms","value":7044,"base":11}}}}},"used_operators":["rGHVDoGpnC","sdazOOVcIp","eewbuw0ToL","3ViojmjbAp","mqXw5SEYmG","IWmyXbctLI","oWn0xqSxBt","tmPS8pqC7x","o20kRiQErp","eLAdDNolq6","jLgFTUHLKL","XhwjNDsVaA"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rJVOvQCfKK","tmPS8pqC7x","rysDP5nf3Z","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1920","layer":4},{"info":"number node, value=1929","layer":4},{"info":"compute binary expreesion, left_input=1920, right_input=1929, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=84","layer":3},{"info":"number node, value=2062","layer":4},{"info":"number node, value=4251","layer":4},{"info":"compute binary expreesion, left_input=2062, right_input=4251, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4254","layer":3},{"info":"compute binary expreesion, left_input=84, right_input=-4254, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=4348","layer":2},{"info":"number node, value=6237","layer":4},{"info":"number node, value=2227","layer":4},{"info":"compute binary expreesion, left_input=6237, right_input=2227, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=12790","layer":3},{"info":"number node, value=3074","layer":4},{"info":"compute unary expreesion, input=3074, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=12790, right_input=-1, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-129","layer":2},{"info":"compute binary expreesion, left_input=4348, right_input=-129, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=9056","layer":1},{"info":"number node, value=1575","layer":4},{"info":"compute unary expreesion, input=1575, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1091","layer":3},{"info":"compute unary expreesion, input=-1091, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"number node, value=4650","layer":4},{"info":"number node, value=7044","layer":4},{"info":"compute binary expreesion, left_input=4650, right_input=7044, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=4844","layer":2},{"info":"compute binary expreesion, left_input=177, right_input=4844, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=177","layer":1},{"info":"compute binary expreesion, left_input=9056, right_input=177, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=0","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1496⪨≂⋰*⋻14A4)⨰⋰*⋻1605⨓⋰*⋻3215⪨≂⋰*⋻4760⪮%⊝⋰*⋻1745⫸⊐(⊙↵-⋰*⋻2345))⨟⋌⩍(((≤/⋰*⋻1202)∸)⨪↰⇹(↩(⋰*⋻3548/⋰*⋻5324)))=⋰*⋻0","reverse_text":"⋰*⋻0=((⋰*⋻1496⪨≂⋰*⋻14A4)⨰⋰*⋻1605⨓⋰*⋻3215⪨≂⋰*⋻4760⪮%⊝⋰*⋻1745⫸⊐(⊙↵-⋰*⋻2345))⨟⋌⩍(((≤/⋰*⋻1202)∸)⨪↰⇹(↩(⋰*⋻3548/⋰*⋻5324)))","cot":[{"info":"⋰*⋻1496⪨≂⋰*⋻14A4=⋰*⋻77","layer":3},{"info":"⋰*⋻1605⨓⋰*⋻3215=⋰*⋻-3218","layer":3},{"info":"⋰*⋻77⨰⋰*⋻-3218=⋰*⋻32A3","layer":2},{"info":"⋰*⋻4760⪮%⊝⋰*⋻1745=⋰*⋻9678","layer":3},{"info":"⊙↵-⋰*⋻2345=⋰*⋻-1","layer":3},{"info":"⋰*⋻9678⫸⊐⋰*⋻-1=⋰*⋻-108","layer":2},{"info":"⋰*⋻32A3⪨≂⋰*⋻-108=⋰*⋻6893","layer":1},{"info":"≤/⋰*⋻1202=⋰*⋻-902","layer":3},{"info":"⋰*⋻-902∸=⋰*⋻151","layer":2},{"info":"⋰*⋻3548/⋰*⋻5324=⋰*⋻0","layer":3},{"info":"↩⋰*⋻0=⋰*⋻3704","layer":2},{"info":"⋰*⋻151⨪↰⇹⋰*⋻3704=⋰*⋻151","layer":1},{"info":"⋰*⋻6893⨟⋌⩍⋰*⋻151=⋰*⋻0","layer":0}]}
{"id":596,"expression_no_base_symbol":"(($2158$⪒$4869$)⇷($2256$⇋≉)⋓($3387$⨸⪁$1296$/$1783$⫸⊐$2620$))≹⇙⪍(($1143$⩚⊴⇥$2492$)⨪↰⇹($3127$∲⫓$2723$)⨐⩸⫘($3317$∲⫓$4611$/$2452$↺$4203$))","expression":"((⋰*⋻1692⪒⋰*⋻3727)⇷(⋰*⋻1771⇋≉)⋓(⋰*⋻25AA⨸⪁⋰*⋻A79/⋰*⋻1381⫸⊐⋰*⋻1A72))≹⇙⪍((⋰*⋻94A⩚⊴⇥⋰*⋻1966)⨪↰⇹(⋰*⋻2393∲⫓⋰*⋻2056)⨐⩸⫘(⋰*⋻2546∲⫓⋰*⋻3512/⋰*⋻192A↺⋰*⋻3181))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":102199,"operation_count":15,"complexity_ratio":6813.266666666666,"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":2158,"base":11},"right_expr":{"type":"numeric_atoms","value":4869,"base":11}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":2256,"base":11}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3387,"base":11},"right_expr":{"type":"numeric_atoms","value":1296,"base":11}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1783,"base":11},"right_expr":{"type":"numeric_atoms","value":2620,"base":11}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1143,"base":11},"right_expr":{"type":"numeric_atoms","value":2492,"base":11}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3127,"base":11},"right_expr":{"type":"numeric_atoms","value":2723,"base":11}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3317,"base":11},"right_expr":{"type":"numeric_atoms","value":4611,"base":11}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2452,"base":11},"right_expr":{"type":"numeric_atoms","value":4203,"base":11}}}}},"used_operators":["AHs5Up7iyr","T2fj7uvVaJ","mp7IySMOzn","f6k1SAg4EE","XIabStNQrY","XhwjNDsVaA","g55IO6H4Gj","mqXw5SEYmG","fu6greOZ01","tmPS8pqC7x","NTOWxs364D","i8ToyICDmI","7j4O788W3g"],"dependent_operators":["dWAJyo7jo9","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","3ViojmjbAp","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2158","layer":4},{"info":"number node, value=4869","layer":4},{"info":"compute binary expreesion, left_input=2158, right_input=4869, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7027","layer":3},{"info":"number node, value=2256","layer":4},{"info":"compute unary expreesion, input=2256, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=4414","layer":3},{"info":"compute binary expreesion, left_input=-7027, right_input=4414, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=8828","layer":2},{"info":"number node, value=3387","layer":4},{"info":"number node, value=1296","layer":4},{"info":"compute binary expreesion, left_input=3387, right_input=1296, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9366","layer":3},{"info":"number node, value=1783","layer":4},{"info":"number node, value=2620","layer":4},{"info":"compute binary expreesion, left_input=1783, right_input=2620, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=10355","layer":3},{"info":"compute binary expreesion, left_input=9366, right_input=10355, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"info":"compute binary expreesion, left_input=8828, 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":"number node, value=1143","layer":4},{"info":"number node, value=2492","layer":4},{"info":"compute binary expreesion, left_input=1143, right_input=2492, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3756","layer":3},{"info":"number node, value=3127","layer":4},{"info":"number node, value=2723","layer":4},{"info":"compute binary expreesion, left_input=3127, right_input=2723, 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=-3756, 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=-3756","layer":2},{"info":"number node, value=3317","layer":4},{"info":"number node, value=4611","layer":4},{"info":"compute binary expreesion, left_input=3317, right_input=4611, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=2452","layer":4},{"info":"number node, value=4203","layer":4},{"info":"compute binary expreesion, left_input=2452, right_input=4203, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4203","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4203, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"info":"compute binary expreesion, left_input=-3756, 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=-3756","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-3756, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1692⪒⋰*⋻3727)⇷(⋰*⋻1771⇋≉)⋓(⋰*⋻25AA⨸⪁⋰*⋻A79/⋰*⋻1381⫸⊐⋰*⋻1A72))≹⇙⪍((⋰*⋻94A⩚⊴⇥⋰*⋻1966)⨪↰⇹(⋰*⋻2393∲⫓⋰*⋻2056)⨐⩸⫘(⋰*⋻2546∲⫓⋰*⋻3512/⋰*⋻192A↺⋰*⋻3181))=NaN","reverse_text":"NaN=((⋰*⋻1692⪒⋰*⋻3727)⇷(⋰*⋻1771⇋≉)⋓(⋰*⋻25AA⨸⪁⋰*⋻A79/⋰*⋻1381⫸⊐⋰*⋻1A72))≹⇙⪍((⋰*⋻94A⩚⊴⇥⋰*⋻1966)⨪↰⇹(⋰*⋻2393∲⫓⋰*⋻2056)⨐⩸⫘(⋰*⋻2546∲⫓⋰*⋻3512/⋰*⋻192A↺⋰*⋻3181))","cot":[{"info":"⋰*⋻1692⪒⋰*⋻3727=⋰*⋻-5309","layer":3},{"info":"⋰*⋻1771⇋≉=⋰*⋻3353","layer":3},{"info":"⋰*⋻-5309⇷⋰*⋻3353=⋰*⋻66A6","layer":2},{"info":"⋰*⋻25AA⨸⪁⋰*⋻A79=⋰*⋻7045","layer":3},{"info":"⋰*⋻1381⫸⊐⋰*⋻1A72=⋰*⋻7864","layer":3},{"info":"⋰*⋻7045/⋰*⋻7864=⋰*⋻0","layer":2},{"info":"⋰*⋻66A6⋓⋰*⋻0=⋰*⋻0","layer":1},{"info":"⋰*⋻94A⩚⊴⇥⋰*⋻1966=⋰*⋻-2905","layer":3},{"info":"⋰*⋻2393∲⫓⋰*⋻2056=⋰*⋻0","layer":3},{"info":"⋰*⋻-2905⨪↰⇹⋰*⋻0=⋰*⋻-2905","layer":2},{"info":"⋰*⋻2546∲⫓⋰*⋻3512=⋰*⋻0","layer":3},{"info":"⋰*⋻192A↺⋰*⋻3181=⋰*⋻3181","layer":3},{"info":"⋰*⋻0/⋰*⋻3181=⋰*⋻0","layer":2},{"info":"⋰*⋻-2905⨐⩸⫘⋰*⋻0=⋰*⋻-2905","layer":1},{"info":"⋰*⋻0≹⇙⪍⋰*⋻-2905=NaN","layer":0}]}
{"id":597,"expression_no_base_symbol":"($6975$↬$2002$⨓($5182$⊭↱$6250$)⋥≓≎($3602$*$8950$⨵⪆(⪲⇎$4355$)))⪛((($1152$⊠≄⫣)⪠⩆⊳)⨸⪁$3207$∑⇟⊟$3534$⨰($1192$⪄$3297$))","expression":"(⋰*⋻5271↬⋰*⋻1560⨓(⋰*⋻3991⊭↱⋰*⋻4772)⋥≓≎(⋰*⋻2785*⋰*⋻67A7⨵⪆(⪲⇎⋰*⋻32AA)))⪛(((⋰*⋻958⊠≄⫣)⪠⩆⊳)⨸⪁⋰*⋻2456∑⇟⊟⋰*⋻2723⨰(⋰*⋻994⪄⋰*⋻2528))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5879,"operation_count":14,"complexity_ratio":419.92857142857144,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":6975,"base":11},"right_expr":{"type":"numeric_atoms","value":2002,"base":11}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":5182,"base":11},"right_expr":{"type":"numeric_atoms","value":6250,"base":11}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3602,"base":11},"right_expr":{"type":"numeric_atoms","value":8950,"base":11}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":4355,"base":11}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1152,"base":11}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3207,"base":11},"right_expr":{"type":"numeric_atoms","value":3534,"base":11}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1192,"base":11},"right_expr":{"type":"numeric_atoms","value":3297,"base":11}}}}},"used_operators":["uFcxV4UQCh","Qy55tPpLXF","3ViojmjbAp","B5M0gjZbta","COABgblf1C","2DQ55sFlQl","9HNa5Wba9A","XPYlsWDdGa","g55IO6H4Gj","JLbD19bQDL","DIvbN7qnHd","eewbuw0ToL","U7g4x0WXJJ","SUmda5xLS4"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6975","layer":4},{"info":"number node, value=2002","layer":4},{"info":"compute binary expreesion, left_input=6975, right_input=2002, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=5182","layer":4},{"info":"number node, value=6250","layer":4},{"info":"compute binary expreesion, left_input=5182, right_input=6250, 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 = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2144","layer":2},{"info":"number node, value=3602","layer":4},{"info":"number node, value=8950","layer":4},{"info":"compute binary expreesion, left_input=3602, right_input=8950, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=32237900","layer":3},{"info":"number node, value=4355","layer":4},{"info":"compute unary expreesion, input=4355, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=8710","layer":3},{"info":"compute binary expreesion, left_input=32237900, right_input=8710, 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=-2144, right_input=160, 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=1152","layer":4},{"info":"compute unary expreesion, input=1152, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', 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=3207","layer":4},{"info":"number node, value=3534","layer":4},{"info":"compute binary expreesion, left_input=3207, right_input=3534, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1192","layer":4},{"info":"number node, value=3297","layer":4},{"info":"compute binary expreesion, left_input=1192, right_input=3297, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-185693","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-185693, 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 = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻5271↬⋰*⋻1560⨓(⋰*⋻3991⊭↱⋰*⋻4772)⋥≓≎(⋰*⋻2785*⋰*⋻67A7⨵⪆(⪲⇎⋰*⋻32AA)))⪛(((⋰*⋻958⊠≄⫣)⪠⩆⊳)⨸⪁⋰*⋻2456∑⇟⊟⋰*⋻2723⨰(⋰*⋻994⪄⋰*⋻2528))=NaN","reverse_text":"NaN=(⋰*⋻5271↬⋰*⋻1560⨓(⋰*⋻3991⊭↱⋰*⋻4772)⋥≓≎(⋰*⋻2785*⋰*⋻67A7⨵⪆(⪲⇎⋰*⋻32AA)))⪛(((⋰*⋻958⊠≄⫣)⪠⩆⊳)⨸⪁⋰*⋻2456∑⇟⊟⋰*⋻2723⨰(⋰*⋻994⪄⋰*⋻2528))","cot":[{"info":"⋰*⋻5271↬⋰*⋻1560=NaN","layer":3},{"info":"⋰*⋻3991⊭↱⋰*⋻4772=⋰*⋻1677","layer":3},{"info":"NaN⨓⋰*⋻1677=⋰*⋻-167A","layer":2},{"info":"⋰*⋻2785*⋰*⋻67A7=⋰*⋻172198A2","layer":3},{"info":"⪲⇎⋰*⋻32AA=⋰*⋻65A9","layer":3},{"info":"⋰*⋻172198A2⨵⪆⋰*⋻65A9=⋰*⋻136","layer":2},{"info":"⋰*⋻-167A⋥≓≎⋰*⋻136=⋰*⋻61","layer":1},{"info":"⋰*⋻958⊠≄⫣=⋰*⋻0","layer":3},{"info":"⋰*⋻0⪠⩆⊳=⋰*⋻0","layer":2},{"info":"⋰*⋻2456∑⇟⊟⋰*⋻2723=NaN","layer":3},{"info":"⋰*⋻994⪄⋰*⋻2528=⋰*⋻-117572","layer":3},{"info":"NaN⨰⋰*⋻-117572=NaN","layer":2},{"info":"⋰*⋻0⨸⪁NaN=NaN","layer":1},{"info":"⋰*⋻61⪛NaN=NaN","layer":0}]}
{"id":598,"expression_no_base_symbol":"(($3494$⨽$1545$)⋓$3791$↬$1535$)∼(↩$3630$∀⇚≩$4856$)↙(⫛⫱⨽($5227$*$1286$-$6734$≭$3224$))","expression":"((⋰*⋻2697⨽⋰*⋻1185)⋓⋰*⋻2937↬⋰*⋻1176)∼(↩⋰*⋻2800∀⇚≩⋰*⋻3715)↙(⫛⫱⨽(⋰*⋻3A22*⋰*⋻A6A-⋰*⋻5072≭⋰*⋻2471))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":31150,"operation_count":11,"complexity_ratio":2831.818181818182,"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":3494,"base":11},"right_expr":{"type":"numeric_atoms","value":1545,"base":11}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3791,"base":11},"right_expr":{"type":"numeric_atoms","value":1535,"base":11}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3630,"base":11},"right_expr":{"type":"numeric_atoms","value":4856,"base":11}}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":5227,"base":11},"right_expr":{"type":"numeric_atoms","value":1286,"base":11}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":6734,"base":11},"right_expr":{"type":"numeric_atoms","value":3224,"base":11}}}}},"used_operators":["yyfyN0ffXY","DyGG3AbaNP","T2fj7uvVaJ","8HhzD0ZcuI","B5M0gjZbta","jLgFTUHLKL","LRNGc0VcxI","DlLNRPXxWL","rysDP5nf3Z","9HNa5Wba9A","rxpJgHHUmx"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rGHVDoGpnC","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","X99M06cbEe","rGHVDoGpnC","W4YGzv6Whe","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3494","layer":4},{"info":"number node, value=1545","layer":4},{"info":"compute binary expreesion, left_input=3494, right_input=1545, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-36627429","layer":3},{"info":"number node, value=3791","layer":4},{"info":"number node, value=1535","layer":4},{"info":"compute binary expreesion, left_input=3791, right_input=1535, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=-36627429, 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=3630","layer":4},{"info":"number node, value=4856","layer":4},{"info":"compute binary expreesion, left_input=3630, right_input=4856, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"number node, value=5227","layer":4},{"info":"number node, value=1286","layer":4},{"info":"compute binary expreesion, left_input=5227, right_input=1286, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=6721922","layer":3},{"info":"number node, value=6734","layer":4},{"info":"number node, value=3224","layer":4},{"info":"compute binary expreesion, left_input=6734, right_input=3224, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=6721922, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', 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 = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻2697⨽⋰*⋻1185)⋓⋰*⋻2937↬⋰*⋻1176)∼(↩⋰*⋻2800∀⇚≩⋰*⋻3715)↙(⫛⫱⨽(⋰*⋻3A22*⋰*⋻A6A-⋰*⋻5072≭⋰*⋻2471))=NaN","reverse_text":"NaN=((⋰*⋻2697⨽⋰*⋻1185)⋓⋰*⋻2937↬⋰*⋻1176)∼(↩⋰*⋻2800∀⇚≩⋰*⋻3715)↙(⫛⫱⨽(⋰*⋻3A22*⋰*⋻A6A-⋰*⋻5072≭⋰*⋻2471))","cot":[{"info":"⋰*⋻2697⨽⋰*⋻1185=⋰*⋻-19747803","layer":3},{"info":"⋰*⋻2937↬⋰*⋻1176=NaN","layer":3},{"info":"⋰*⋻-19747803⋓NaN=NaN","layer":2},{"info":"⋰*⋻2800∀⇚≩⋰*⋻3715=NaN","layer":3},{"info":"↩NaN=NaN","layer":2},{"info":"NaN∼NaN=NaN","layer":1},{"info":"⋰*⋻3A22*⋰*⋻A6A=⋰*⋻3881309","layer":3},{"info":"⋰*⋻5072≭⋰*⋻2471=NaN","layer":3},{"info":"⋰*⋻3881309-NaN=NaN","layer":2},{"info":"⫛⫱⨽NaN=NaN","layer":1},{"info":"NaN↙NaN=NaN","layer":0}]}
{"id":599,"expression_no_base_symbol":"((-$4355$⪛$1167$)⪨≂($2810$⨪↰⇹$4071$)∀⇚≩($2253$⊘))⩷∴(($2296$⋥≓≎$3281$)⪢($1127$⪄$9551$)+⇶⊼($2523$⋷$2030$⫡⨏$4021$⫸⊐$3505$))","expression":"((-⋰*⋻32AA⪛⋰*⋻971)⪨≂(⋰*⋻2125⨪↰⇹⋰*⋻3071)∀⇚≩(⋰*⋻1769⊘))⩷∴((⋰*⋻17A8⋥≓≎⋰*⋻2513)⪢(⋰*⋻935⪄⋰*⋻71A3)+⇶⊼(⋰*⋻1994⋷⋰*⋻1586⫡⨏⋰*⋻3026⫸⊐⋰*⋻26A7))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":223740,"operation_count":14,"complexity_ratio":15981.42857142857,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":4355,"base":11},"right_expr":{"type":"numeric_atoms","value":1167,"base":11}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2810,"base":11},"right_expr":{"type":"numeric_atoms","value":4071,"base":11}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":2253,"base":11}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2296,"base":11},"right_expr":{"type":"numeric_atoms","value":3281,"base":11}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1127,"base":11},"right_expr":{"type":"numeric_atoms","value":9551,"base":11}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2523,"base":11},"right_expr":{"type":"numeric_atoms","value":2030,"base":11}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4021,"base":11},"right_expr":{"type":"numeric_atoms","value":3505,"base":11}}}}},"used_operators":["9FxExcQeMw","sdazOOVcIp","t8gj7n24qd","uFcxV4UQCh","LRNGc0VcxI","tmPS8pqC7x","gu96TGCTMs","TpPTUOHfaN","dWAJyo7jo9","Qy55tPpLXF","SUmda5xLS4","QMFrweE19q","23Mk6UjR3U","mqXw5SEYmG"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","X99M06cbEe","rJVOvQCfKK","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","AHs5Up7iyr","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4355","layer":4},{"info":"number node, value=1167","layer":4},{"info":"compute binary expreesion, left_input=4355, right_input=1167, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=854","layer":3},{"info":"compute unary expreesion, input=854, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-854","layer":2},{"info":"number node, value=2810","layer":4},{"info":"number node, value=4071","layer":4},{"info":"compute binary expreesion, left_input=2810, right_input=4071, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2810","layer":3},{"info":"number node, value=2253","layer":4},{"info":"compute unary expreesion, input=2253, 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=2810, 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=-854, 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=2296","layer":4},{"info":"number node, value=3281","layer":4},{"info":"compute binary expreesion, left_input=2296, right_input=3281, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=4299","layer":3},{"info":"number node, value=1127","layer":4},{"info":"number node, value=9551","layer":4},{"info":"compute binary expreesion, left_input=1127, right_input=9551, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-201089","layer":3},{"info":"compute binary expreesion, left_input=4299, right_input=-201089, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=2523","layer":4},{"info":"number node, value=2030","layer":4},{"info":"compute binary expreesion, left_input=2523, right_input=2030, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1537","layer":3},{"info":"number node, value=4021","layer":4},{"info":"number node, value=3505","layer":4},{"info":"compute binary expreesion, left_input=4021, right_input=3505, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=13895","layer":3},{"info":"compute binary expreesion, left_input=1537, right_input=13895, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=36258","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=36258, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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":11,"result_base":11,"text":"((-⋰*⋻32AA⪛⋰*⋻971)⪨≂(⋰*⋻2125⨪↰⇹⋰*⋻3071)∀⇚≩(⋰*⋻1769⊘))⩷∴((⋰*⋻17A8⋥≓≎⋰*⋻2513)⪢(⋰*⋻935⪄⋰*⋻71A3)+⇶⊼(⋰*⋻1994⋷⋰*⋻1586⫡⨏⋰*⋻3026⫸⊐⋰*⋻26A7))=NaN","reverse_text":"NaN=((-⋰*⋻32AA⪛⋰*⋻971)⪨≂(⋰*⋻2125⨪↰⇹⋰*⋻3071)∀⇚≩(⋰*⋻1769⊘))⩷∴((⋰*⋻17A8⋥≓≎⋰*⋻2513)⪢(⋰*⋻935⪄⋰*⋻71A3)+⇶⊼(⋰*⋻1994⋷⋰*⋻1586⫡⨏⋰*⋻3026⫸⊐⋰*⋻26A7))","cot":[{"info":"⋰*⋻32AA⪛⋰*⋻971=⋰*⋻707","layer":3},{"info":"-⋰*⋻707=⋰*⋻-707","layer":2},{"info":"⋰*⋻2125⨪↰⇹⋰*⋻3071=⋰*⋻2125","layer":3},{"info":"⋰*⋻1769⊘=⋰*⋻0","layer":3},{"info":"⋰*⋻2125∀⇚≩⋰*⋻0=NaN","layer":2},{"info":"⋰*⋻-707⪨≂NaN=NaN","layer":1},{"info":"⋰*⋻17A8⋥≓≎⋰*⋻2513=⋰*⋻3259","layer":3},{"info":"⋰*⋻935⪄⋰*⋻71A3=⋰*⋻-128099","layer":3},{"info":"⋰*⋻3259⪢⋰*⋻-128099=NaN","layer":2},{"info":"⋰*⋻1994⋷⋰*⋻1586=⋰*⋻1178","layer":3},{"info":"⋰*⋻3026⫸⊐⋰*⋻26A7=⋰*⋻A492","layer":3},{"info":"⋰*⋻1178⫡⨏⋰*⋻A492=⋰*⋻25272","layer":2},{"info":"NaN+⇶⊼⋰*⋻25272=NaN","layer":1},{"info":"NaN⩷∴NaN=NaN","layer":0}]}
{"id":600,"expression_no_base_symbol":"$2869$↬$2514$⋓($1357$↙$7787$)≎⊠⪸((⫓⪴$2841$)%$1761$⪢$3867$)⨐⩸⫘(↥($8373$⨽$1795$⫸⊐($1428$⇼⇔∾$9320$)))","expression":"⋰*⋻2179↬⋰*⋻1986⋓(⋰*⋻1024↙⋰*⋻593A)≎⊠⪸((⫓⪴⋰*⋻2153)%⋰*⋻1361⪢⋰*⋻29A6)⨐⩸⫘(↥(⋰*⋻6322⨽⋰*⋻1392⫸⊐(⋰*⋻1089⇼⇔∾⋰*⋻7003)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":25730,"operation_count":12,"complexity_ratio":2144.1666666666665,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2869,"base":11},"right_expr":{"type":"numeric_atoms","value":2514,"base":11}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1357,"base":11},"right_expr":{"type":"numeric_atoms","value":7787,"base":11}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2841,"base":11}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1761,"base":11},"right_expr":{"type":"numeric_atoms","value":3867,"base":11}}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":8373,"base":11},"right_expr":{"type":"numeric_atoms","value":1795,"base":11}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1428,"base":11},"right_expr":{"type":"numeric_atoms","value":9320,"base":11}}}}},"used_operators":["fu6greOZ01","bJkvcejdHO","T2fj7uvVaJ","B5M0gjZbta","yyfyN0ffXY","k8jYdgA6NY","eLxqMNBOBk","dWAJyo7jo9","A8NUZmVepG","mqXw5SEYmG","8HhzD0ZcuI","tifHPKVTfV"],"dependent_operators":["3ViojmjbAp","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rGHVDoGpnC","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","9HNa5Wba9A","k8jYdgA6NY","k8jYdgA6NY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd"],"result":"⋰*⋻-49","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2869","layer":4},{"info":"number node, value=2514","layer":4},{"info":"compute binary expreesion, left_input=2869, right_input=2514, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1357","layer":4},{"info":"number node, value=7787","layer":4},{"info":"compute binary expreesion, left_input=1357, right_input=7787, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-23361","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-23361, op_id = T2fj7uvVaJ binary_op_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=2841","layer":4},{"info":"compute unary expreesion, input=2841, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=8071281","layer":3},{"info":"number node, value=1761","layer":4},{"info":"number node, value=3867","layer":4},{"info":"compute binary expreesion, left_input=1761, right_input=3867, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=8071281, 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 = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"number node, value=8373","layer":4},{"info":"number node, value=1795","layer":4},{"info":"compute binary expreesion, left_input=8373, right_input=1795, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-210325458","layer":3},{"info":"number node, value=1428","layer":4},{"info":"number node, value=9320","layer":4},{"info":"compute binary expreesion, left_input=1428, right_input=9320, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=7892","layer":3},{"info":"compute binary expreesion, left_input=-210325458, right_input=7892, 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 = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=50","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=50, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-53","layer":0}],"base":11,"result_base":11,"text":"⋰*⋻2179↬⋰*⋻1986⋓(⋰*⋻1024↙⋰*⋻593A)≎⊠⪸((⫓⪴⋰*⋻2153)%⋰*⋻1361⪢⋰*⋻29A6)⨐⩸⫘(↥(⋰*⋻6322⨽⋰*⋻1392⫸⊐(⋰*⋻1089⇼⇔∾⋰*⋻7003)))=⋰*⋻-49","reverse_text":"⋰*⋻-49=⋰*⋻2179↬⋰*⋻1986⋓(⋰*⋻1024↙⋰*⋻593A)≎⊠⪸((⫓⪴⋰*⋻2153)%⋰*⋻1361⪢⋰*⋻29A6)⨐⩸⫘(↥(⋰*⋻6322⨽⋰*⋻1392⫸⊐(⋰*⋻1089⇼⇔∾⋰*⋻7003)))","cot":[{"info":"⋰*⋻2179↬⋰*⋻1986=NaN","layer":3},{"info":"⋰*⋻1024↙⋰*⋻593A=⋰*⋻-16608","layer":3},{"info":"NaN⋓⋰*⋻-16608=⋰*⋻0","layer":2},{"info":"⫓⪴⋰*⋻2153=⋰*⋻4613089","layer":3},{"info":"⋰*⋻1361⪢⋰*⋻29A6=NaN","layer":3},{"info":"⋰*⋻4613089%NaN=NaN","layer":2},{"info":"⋰*⋻0≎⊠⪸NaN=⋰*⋻61","layer":1},{"info":"⋰*⋻6322⨽⋰*⋻1392=⋰*⋻-A87A56A2","layer":3},{"info":"⋰*⋻1089⇼⇔∾⋰*⋻7003=⋰*⋻5A25","layer":3},{"info":"⋰*⋻-A87A56A2⫸⊐⋰*⋻5A25=⋰*⋻800","layer":2},{"info":"↥⋰*⋻800=⋰*⋻46","layer":1},{"info":"⋰*⋻61⨐⩸⫘⋰*⋻46=⋰*⋻-49","layer":0}]}
{"id":601,"expression_no_base_symbol":"(∂((↣≠⋷$3452$)∸))⨳⩥⨓(($1498$⫸⊐$2876$)≧⫂∧$1752$⇷$2177$)⪘⫢(($6679$≫≃)⇼⇔∾($4793$*$1002$))","expression":"(∂((↣≠⋷⋰*⋻2659)∸))⨳⩥⨓((⋰*⋻1142⫸⊐⋰*⋻2185)≧⫂∧⋰*⋻1353⇷⋰*⋻16AA)⪘⫢((⋰*⋻5022≫≃)⇼⇔∾(⋰*⋻3668*⋰*⋻831))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":26185,"operation_count":11,"complexity_ratio":2380.4545454545455,"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":3452,"base":11}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1498,"base":11},"right_expr":{"type":"numeric_atoms","value":2876,"base":11}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1752,"base":11},"right_expr":{"type":"numeric_atoms","value":2177,"base":11}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":6679,"base":11}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4793,"base":11},"right_expr":{"type":"numeric_atoms","value":1002,"base":11}}}}},"used_operators":["nCS4ZIUYfx","Uaa54Peajs","o20kRiQErp","Asc51vEJeQ","oacrs7FA3X","Ph9nP6C5qx","mqXw5SEYmG","mp7IySMOzn","tifHPKVTfV","X99M06cbEe","9HNa5Wba9A"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","tmPS8pqC7x","XhwjNDsVaA","AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe"],"result":"⋰*⋻6085","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3452","layer":4},{"info":"compute unary expreesion, input=3452, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"compute unary expreesion, input=177, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=-441","layer":1},{"info":"number node, value=1498","layer":4},{"info":"number node, value=2876","layer":4},{"info":"compute binary expreesion, left_input=1498, right_input=2876, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=11379","layer":3},{"info":"number node, value=1752","layer":4},{"info":"number node, value=2177","layer":4},{"info":"compute binary expreesion, left_input=1752, right_input=2177, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4354","layer":3},{"info":"compute binary expreesion, left_input=11379, right_input=4354, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3881","layer":2},{"info":"number node, value=6679","layer":4},{"info":"compute unary expreesion, input=6679, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=14759","layer":3},{"info":"number node, value=4793","layer":4},{"info":"number node, value=1002","layer":4},{"info":"compute binary expreesion, left_input=4793, right_input=1002, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4802586","layer":3},{"info":"compute binary expreesion, left_input=14759, right_input=4802586, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=4787827","layer":2},{"info":"compute binary expreesion, left_input=3881, right_input=4787827, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=7638","layer":1},{"info":"compute binary expreesion, left_input=-441, right_input=7638, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=8079","layer":0}],"base":11,"result_base":11,"text":"(∂((↣≠⋷⋰*⋻2659)∸))⨳⩥⨓((⋰*⋻1142⫸⊐⋰*⋻2185)≧⫂∧⋰*⋻1353⇷⋰*⋻16AA)⪘⫢((⋰*⋻5022≫≃)⇼⇔∾(⋰*⋻3668*⋰*⋻831))=⋰*⋻6085","reverse_text":"⋰*⋻6085=(∂((↣≠⋷⋰*⋻2659)∸))⨳⩥⨓((⋰*⋻1142⫸⊐⋰*⋻2185)≧⫂∧⋰*⋻1353⇷⋰*⋻16AA)⪘⫢((⋰*⋻5022≫≃)⇼⇔∾(⋰*⋻3668*⋰*⋻831))","cot":[{"info":"↣≠⋷⋰*⋻2659=NaN","layer":3},{"info":"NaN∸=⋰*⋻151","layer":2},{"info":"∂⋰*⋻151=⋰*⋻-371","layer":1},{"info":"⋰*⋻1142⫸⊐⋰*⋻2185=⋰*⋻8605","layer":3},{"info":"⋰*⋻1353⇷⋰*⋻16AA=⋰*⋻32A9","layer":3},{"info":"⋰*⋻8605≧⫂∧⋰*⋻32A9=⋰*⋻2A09","layer":2},{"info":"⋰*⋻5022≫≃=⋰*⋻100A8","layer":3},{"info":"⋰*⋻3668*⋰*⋻831=⋰*⋻2790288","layer":3},{"info":"⋰*⋻100A8⇼⇔∾⋰*⋻2790288=⋰*⋻2780190","layer":2},{"info":"⋰*⋻2A09⪘⫢⋰*⋻2780190=⋰*⋻5814","layer":1},{"info":"⋰*⋻-371⨳⩥⨓⋰*⋻5814=⋰*⋻6085","layer":0}]}
{"id":602,"expression_no_base_symbol":"(($1132$⊭↱$2063$)⋳⪒$3544$⇷$1036$⊉≛↸(($5704$⫌⩹⨱)/(↥$6498$)))⋥≓≎(($6785$↺$2184$≣⋋)⨵⪆(≤/$1322$⋳⪒$1066$))","expression":"((⋰*⋻93A⊭↱⋰*⋻1606)⋳⪒⋰*⋻2732⇷⋰*⋻862⊉≛↸((⋰*⋻4316⫌⩹⨱)/(↥⋰*⋻4978)))⋥≓≎((⋰*⋻5109↺⋰*⋻1706≣⋋)⨵⪆(≤/⋰*⋻AA2⋳⪒⋰*⋻88A))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":50909,"operation_count":13,"complexity_ratio":3916.076923076923,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1132,"base":11},"right_expr":{"type":"numeric_atoms","value":2063,"base":11}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3544,"base":11},"right_expr":{"type":"numeric_atoms","value":1036,"base":11}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":5704,"base":11}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":6498,"base":11}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":6785,"base":11},"right_expr":{"type":"numeric_atoms","value":2184,"base":11}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1322,"base":11},"right_expr":{"type":"numeric_atoms","value":1066,"base":11}}}}},"used_operators":["Qy55tPpLXF","DZ8iAZOCBD","12rbrZMWeM","COABgblf1C","mp7IySMOzn","XhwjNDsVaA","EBcxylXtPf","A8NUZmVepG","2DQ55sFlQl","Tcnh7f0tEr","7j4O788W3g","eLAdDNolq6"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"⋰*⋻-188A","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1132","layer":4},{"info":"number node, value=2063","layer":4},{"info":"compute binary expreesion, left_input=1132, right_input=2063, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=1867","layer":3},{"info":"number node, value=3544","layer":4},{"info":"number node, value=1036","layer":4},{"info":"compute binary expreesion, left_input=3544, right_input=1036, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2072","layer":3},{"info":"compute binary expreesion, left_input=1867, right_input=2072, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1375","layer":2},{"info":"number node, value=5704","layer":4},{"info":"compute unary expreesion, input=5704, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=12809","layer":3},{"info":"number node, value=6498","layer":4},{"info":"compute unary expreesion, input=6498, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=21","layer":3},{"info":"compute binary expreesion, left_input=12809, right_input=21, op_id = XhwjNDsVaA binary_op_definition= 'None', output=609","layer":2},{"info":"compute binary expreesion, left_input=1375, right_input=609, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2750","layer":1},{"info":"number node, value=6785","layer":4},{"info":"number node, value=2184","layer":4},{"info":"compute binary expreesion, left_input=6785, right_input=2184, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2184","layer":3},{"info":"compute unary expreesion, input=2184, 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=1322","layer":4},{"info":"number node, value=1066","layer":4},{"info":"compute binary expreesion, left_input=1322, right_input=1066, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1291","layer":3},{"info":"compute unary expreesion, input=1291, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-807","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-807, 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=2750, right_input=160, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-2397","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻93A⊭↱⋰*⋻1606)⋳⪒⋰*⋻2732⇷⋰*⋻862⊉≛↸((⋰*⋻4316⫌⩹⨱)/(↥⋰*⋻4978)))⋥≓≎((⋰*⋻5109↺⋰*⋻1706≣⋋)⨵⪆(≤/⋰*⋻AA2⋳⪒⋰*⋻88A))=⋰*⋻-188A","reverse_text":"⋰*⋻-188A=((⋰*⋻93A⊭↱⋰*⋻1606)⋳⪒⋰*⋻2732⇷⋰*⋻862⊉≛↸((⋰*⋻4316⫌⩹⨱)/(↥⋰*⋻4978)))⋥≓≎((⋰*⋻5109↺⋰*⋻1706≣⋋)⨵⪆(≤/⋰*⋻AA2⋳⪒⋰*⋻88A))","cot":[{"info":"⋰*⋻93A⊭↱⋰*⋻1606=⋰*⋻1448","layer":3},{"info":"⋰*⋻2732⇷⋰*⋻862=⋰*⋻1614","layer":3},{"info":"⋰*⋻1448⋳⪒⋰*⋻1614=⋰*⋻1040","layer":2},{"info":"⋰*⋻4316⫌⩹⨱=⋰*⋻9695","layer":3},{"info":"↥⋰*⋻4978=⋰*⋻1A","layer":3},{"info":"⋰*⋻9695/⋰*⋻1A=⋰*⋻504","layer":2},{"info":"⋰*⋻1040⊉≛↸⋰*⋻504=⋰*⋻2080","layer":1},{"info":"⋰*⋻5109↺⋰*⋻1706=⋰*⋻1706","layer":3},{"info":"⋰*⋻1706≣⋋=⋰*⋻0","layer":2},{"info":"⋰*⋻AA2⋳⪒⋰*⋻88A=⋰*⋻A74","layer":3},{"info":"≤/⋰*⋻A74=⋰*⋻-674","layer":2},{"info":"⋰*⋻0⨵⪆⋰*⋻-674=⋰*⋻136","layer":1},{"info":"⋰*⋻2080⋥≓≎⋰*⋻136=⋰*⋻-188A","layer":0}]}
{"id":603,"expression_no_base_symbol":"($2259$⊴$8193$⩚⊴⇥($7044$⊦⊿)⨎(⨞⊢$2917$⪢$1146$))⩚⊴⇥($1653$⊴$1263$∼($2717$⪛$4414$)⨳⩥⨓$3723$⋓$2196$≎⊠⪸$4421$∼$2950$)","expression":"(⋰*⋻1774⊴⋰*⋻6179⩚⊴⇥(⋰*⋻5324⊦⊿)⨎(⨞⊢⋰*⋻2212⪢⋰*⋻952))⩚⊴⇥(⋰*⋻1273⊴⋰*⋻A49∼(⋰*⋻2050⪛⋰*⋻3353)⨳⩥⨓⋰*⋻2885⋓⋰*⋻1717≎⊠⪸⋰*⋻335A∼⋰*⋻2242)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":14560,"operation_count":14,"complexity_ratio":1040.0,"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":2259,"base":11},"right_expr":{"type":"numeric_atoms","value":8193,"base":11}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":7044,"base":11}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2917,"base":11},"right_expr":{"type":"numeric_atoms","value":1146,"base":11}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1653,"base":11},"right_expr":{"type":"numeric_atoms","value":1263,"base":11}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2717,"base":11},"right_expr":{"type":"numeric_atoms","value":4414,"base":11}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3723,"base":11},"right_expr":{"type":"numeric_atoms","value":2196,"base":11}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4421,"base":11},"right_expr":{"type":"numeric_atoms","value":2950,"base":11}}}}},"used_operators":["NTOWxs364D","rJVOvQCfKK","Nsiff2A1zJ","14qkJME0vr","xUOZtlo3hN","dWAJyo7jo9","nCS4ZIUYfx","DyGG3AbaNP","uFcxV4UQCh","bJkvcejdHO","T2fj7uvVaJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2259","layer":4},{"info":"number node, value=8193","layer":4},{"info":"compute binary expreesion, left_input=2259, right_input=8193, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=7044","layer":4},{"info":"compute unary expreesion, input=7044, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-21211","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-21211, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"number node, value=2917","layer":4},{"info":"number node, value=1146","layer":4},{"info":"compute binary expreesion, left_input=2917, right_input=1146, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = 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=1653","layer":4},{"info":"number node, value=1263","layer":4},{"info":"compute binary expreesion, left_input=1653, right_input=1263, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=2717","layer":4},{"info":"number node, value=4414","layer":4},{"info":"compute binary expreesion, left_input=2717, right_input=4414, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2717","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2717, 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=3723","layer":4},{"info":"number node, value=2196","layer":4},{"info":"compute binary expreesion, left_input=3723, right_input=2196, op_id = T2fj7uvVaJ binary_op_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=4421","layer":4},{"info":"number node, value=2950","layer":4},{"info":"compute binary expreesion, left_input=4421, right_input=2950, 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 = 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 = 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 = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1774⊴⋰*⋻6179⩚⊴⇥(⋰*⋻5324⊦⊿)⨎(⨞⊢⋰*⋻2212⪢⋰*⋻952))⩚⊴⇥(⋰*⋻1273⊴⋰*⋻A49∼(⋰*⋻2050⪛⋰*⋻3353)⨳⩥⨓⋰*⋻2885⋓⋰*⋻1717≎⊠⪸⋰*⋻335A∼⋰*⋻2242)=NaN","reverse_text":"NaN=(⋰*⋻1774⊴⋰*⋻6179⩚⊴⇥(⋰*⋻5324⊦⊿)⨎(⨞⊢⋰*⋻2212⪢⋰*⋻952))⩚⊴⇥(⋰*⋻1273⊴⋰*⋻A49∼(⋰*⋻2050⪛⋰*⋻3353)⨳⩥⨓⋰*⋻2885⋓⋰*⋻1717≎⊠⪸⋰*⋻335A∼⋰*⋻2242)","cot":[{"info":"⋰*⋻1774⊴⋰*⋻6179=NaN","layer":3},{"info":"⋰*⋻5324⊦⊿=⋰*⋻-14A33","layer":3},{"info":"NaN⩚⊴⇥⋰*⋻-14A33=NaN","layer":2},{"info":"⋰*⋻2212⪢⋰*⋻952=NaN","layer":3},{"info":"⨞⊢NaN=NaN","layer":2},{"info":"NaN⨎NaN=NaN","layer":1},{"info":"⋰*⋻1273⊴⋰*⋻A49=NaN","layer":3},{"info":"⋰*⋻2050⪛⋰*⋻3353=⋰*⋻2050","layer":3},{"info":"NaN∼⋰*⋻2050=NaN","layer":2},{"info":"⋰*⋻2885⋓⋰*⋻1717=⋰*⋻0","layer":3},{"info":"⋰*⋻335A∼⋰*⋻2242=NaN","layer":3},{"info":"⋰*⋻0≎⊠⪸NaN=⋰*⋻61","layer":2},{"info":"NaN⨳⩥⨓⋰*⋻61=NaN","layer":1},{"info":"NaN⩚⊴⇥NaN=NaN","layer":0}]}
{"id":604,"expression_no_base_symbol":"($3706$⫥∨⫟$3744$⩨(⫓⪴$7635$)↛⩡⫤)-($1912$≫≃)*($1582$⩨$3652$)%$1997$⇷$8784$≭$6451$↬$3259$","expression":"(⋰*⋻286A⫥∨⫟⋰*⋻28A4⩨(⫓⪴⋰*⋻5811)↛⩡⫤)-(⋰*⋻1489≫≃)*(⋰*⋻1209⩨⋰*⋻2820)%⋰*⋻1556⇷⋰*⋻6666≭⋰*⋻4935↬⋰*⋻24A3","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":35842,"operation_count":12,"complexity_ratio":2986.8333333333335,"tree":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3706,"base":11},"right_expr":{"type":"numeric_atoms","value":3744,"base":11}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":7635,"base":11}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1912,"base":11}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1582,"base":11},"right_expr":{"type":"numeric_atoms","value":3652,"base":11}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1997,"base":11},"right_expr":{"type":"numeric_atoms","value":8784,"base":11}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":6451,"base":11},"right_expr":{"type":"numeric_atoms","value":3259,"base":11}}}}},"used_operators":["rysDP5nf3Z","FU0Cs4j7VP","2DlMacCsIx","KYD54nUTWz","eLxqMNBOBk","k8jYdgA6NY","9HNa5Wba9A","X99M06cbEe","rxpJgHHUmx","mp7IySMOzn","B5M0gjZbta"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","8HhzD0ZcuI","rGHVDoGpnC","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3706","layer":4},{"info":"number node, value=3744","layer":4},{"info":"compute binary expreesion, left_input=3706, right_input=3744, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=7635","layer":4},{"info":"compute unary expreesion, input=7635, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=58293225","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=58293225, 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 = 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=1912","layer":4},{"info":"compute unary expreesion, input=1912, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=5225","layer":3},{"info":"number node, value=1582","layer":4},{"info":"number node, value=3652","layer":4},{"info":"compute binary expreesion, left_input=1582, right_input=3652, 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=5225, right_input=-6, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-31350","layer":2},{"info":"number node, value=1997","layer":4},{"info":"number node, value=8784","layer":4},{"info":"compute binary expreesion, left_input=1997, right_input=8784, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=17568","layer":3},{"info":"number node, value=6451","layer":4},{"info":"number node, value=3259","layer":4},{"info":"compute binary expreesion, left_input=6451, right_input=3259, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=17568, 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=-31350, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻286A⫥∨⫟⋰*⋻28A4⩨(⫓⪴⋰*⋻5811)↛⩡⫤)-(⋰*⋻1489≫≃)*(⋰*⋻1209⩨⋰*⋻2820)%⋰*⋻1556⇷⋰*⋻6666≭⋰*⋻4935↬⋰*⋻24A3=NaN","reverse_text":"NaN=(⋰*⋻286A⫥∨⫟⋰*⋻28A4⩨(⫓⪴⋰*⋻5811)↛⩡⫤)-(⋰*⋻1489≫≃)*(⋰*⋻1209⩨⋰*⋻2820)%⋰*⋻1556⇷⋰*⋻6666≭⋰*⋻4935↬⋰*⋻24A3","cot":[{"info":"⋰*⋻286A⫥∨⫟⋰*⋻28A4=NaN","layer":3},{"info":"⫓⪴⋰*⋻5811=⋰*⋻2A9A5621","layer":3},{"info":"NaN⩨⋰*⋻2A9A5621=NaN","layer":2},{"info":"NaN↛⩡⫤=NaN","layer":1},{"info":"⋰*⋻1489≫≃=⋰*⋻3A20","layer":3},{"info":"⋰*⋻1209⩨⋰*⋻2820=⋰*⋻-6","layer":3},{"info":"⋰*⋻3A20*⋰*⋻-6=⋰*⋻-21610","layer":2},{"info":"⋰*⋻1556⇷⋰*⋻6666=⋰*⋻12221","layer":3},{"info":"⋰*⋻4935↬⋰*⋻24A3=NaN","layer":3},{"info":"⋰*⋻12221≭NaN=NaN","layer":2},{"info":"⋰*⋻-21610%NaN=NaN","layer":1},{"info":"NaN-NaN=NaN","layer":0}]}
{"id":605,"expression_no_base_symbol":"(⫓⪴((⊄⩳↩$3025$)⪐))+⇶⊼($1152$∼$8866$≎⊠⪸$1125$∑⇟⊟$2632$)≧⫂∧($1031$⊭↱$1406$⨵⪆$1509$⩷∴$1359$)","expression":"(⫓⪴((⊄⩳↩⋰*⋻2300)⪐))+⇶⊼(⋰*⋻958∼⋰*⋻6730≎⊠⪸⋰*⋻933∑⇟⊟⋰*⋻1A83)≧⫂∧(⋰*⋻858⊭↱⋰*⋻1069⨵⪆⋰*⋻1152⩷∴⋰*⋻1026)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":18206,"operation_count":11,"complexity_ratio":1655.090909090909,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":3025,"base":11}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1152,"base":11},"right_expr":{"type":"numeric_atoms","value":8866,"base":11}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1125,"base":11},"right_expr":{"type":"numeric_atoms","value":2632,"base":11}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1031,"base":11},"right_expr":{"type":"numeric_atoms","value":1406,"base":11}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1509,"base":11},"right_expr":{"type":"numeric_atoms","value":1359,"base":11}}}}},"used_operators":["TpPTUOHfaN","eLxqMNBOBk","eH2TOUuTDT","8w2t5hMYqp","Ph9nP6C5qx","bJkvcejdHO","DyGG3AbaNP","U7g4x0WXJJ","2DQ55sFlQl","COABgblf1C","9FxExcQeMw"],"dependent_operators":["AHs5Up7iyr","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3025","layer":4},{"info":"compute unary expreesion, input=3025, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-9075","layer":3},{"info":"compute unary expreesion, input=-9075, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=-18150","layer":2},{"info":"compute unary expreesion, input=-18150, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=329422500","layer":1},{"info":"number node, value=1152","layer":4},{"info":"number node, value=8866","layer":4},{"info":"compute binary expreesion, left_input=1152, right_input=8866, 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=1125","layer":4},{"info":"number node, value=2632","layer":4},{"info":"compute binary expreesion, left_input=1125, 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=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=1031","layer":4},{"info":"number node, value=1406","layer":4},{"info":"compute binary expreesion, left_input=1031, right_input=1406, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=755","layer":3},{"info":"number node, value=1509","layer":4},{"info":"number node, value=1359","layer":4},{"info":"compute binary expreesion, left_input=1509, right_input=1359, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=268","layer":3},{"info":"compute binary expreesion, left_input=755, right_input=268, 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 = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-313","layer":1},{"info":"compute binary expreesion, left_input=329422500, right_input=-313, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⫓⪴((⊄⩳↩⋰*⋻2300)⪐))+⇶⊼(⋰*⋻958∼⋰*⋻6730≎⊠⪸⋰*⋻933∑⇟⊟⋰*⋻1A83)≧⫂∧(⋰*⋻858⊭↱⋰*⋻1069⨵⪆⋰*⋻1152⩷∴⋰*⋻1026)=NaN","reverse_text":"NaN=(⫓⪴((⊄⩳↩⋰*⋻2300)⪐))+⇶⊼(⋰*⋻958∼⋰*⋻6730≎⊠⪸⋰*⋻933∑⇟⊟⋰*⋻1A83)≧⫂∧(⋰*⋻858⊭↱⋰*⋻1069⨵⪆⋰*⋻1152⩷∴⋰*⋻1026)","cot":[{"info":"⊄⩳↩⋰*⋻2300=⋰*⋻-6900","layer":3},{"info":"⋰*⋻-6900⪐=⋰*⋻-12700","layer":2},{"info":"⫓⪴⋰*⋻-12700=⋰*⋻159A50000","layer":1},{"info":"⋰*⋻958∼⋰*⋻6730=NaN","layer":3},{"info":"⋰*⋻933∑⇟⊟⋰*⋻1A83=NaN","layer":3},{"info":"NaN≎⊠⪸NaN=⋰*⋻61","layer":2},{"info":"⋰*⋻858⊭↱⋰*⋻1069=⋰*⋻627","layer":3},{"info":"⋰*⋻1152⩷∴⋰*⋻1026=⋰*⋻224","layer":3},{"info":"⋰*⋻627⨵⪆⋰*⋻224=⋰*⋻136","layer":2},{"info":"⋰*⋻61≧⫂∧⋰*⋻136=⋰*⋻-265","layer":1},{"info":"⋰*⋻159A50000+⇶⊼⋰*⋻-265=NaN","layer":0}]}
{"id":606,"expression_no_base_symbol":"($2801$⩷∴$4028$⋷$2977$⫸⊐$1054$)⪮%⊝(+⊝⨔($2499$⇼⇔∾$2731$))⫥∨⫟(($1009$⪒$1649$/($2138$+$1090$))↙($1177$⋥≓≎$2193$∲⫓$8228$⨰$6798$))","expression":"(⋰*⋻2117⩷∴⋰*⋻3032⋷⋰*⋻2267⫸⊐⋰*⋻879)⪮%⊝(+⊝⨔(⋰*⋻1972⇼⇔∾⋰*⋻2063))⫥∨⫟((⋰*⋻838⪒⋰*⋻126A/(⋰*⋻1674+⋰*⋻901))↙(⋰*⋻980⋥≓≎⋰*⋻1714∲⫓⋰*⋻6200⨰⋰*⋻5120))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":255,"operation_count":14,"complexity_ratio":18.214285714285715,"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":2801,"base":11},"right_expr":{"type":"numeric_atoms","value":4028,"base":11}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2977,"base":11},"right_expr":{"type":"numeric_atoms","value":1054,"base":11}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2499,"base":11},"right_expr":{"type":"numeric_atoms","value":2731,"base":11}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1009,"base":11},"right_expr":{"type":"numeric_atoms","value":1649,"base":11}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2138,"base":11},"right_expr":{"type":"numeric_atoms","value":1090,"base":11}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1177,"base":11},"right_expr":{"type":"numeric_atoms","value":2193,"base":11}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":8228,"base":11},"right_expr":{"type":"numeric_atoms","value":6798,"base":11}}}}},"used_operators":["KYD54nUTWz","IWmyXbctLI","23Mk6UjR3U","9FxExcQeMw","mqXw5SEYmG","DhbWaqg5eL","tifHPKVTfV","yyfyN0ffXY","XhwjNDsVaA","f6k1SAg4EE","W4YGzv6Whe","i8ToyICDmI","Qy55tPpLXF","eewbuw0ToL"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2801","layer":4},{"info":"number node, value=4028","layer":4},{"info":"compute binary expreesion, left_input=2801, right_input=4028, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2486","layer":3},{"info":"number node, value=2977","layer":4},{"info":"number node, value=1054","layer":4},{"info":"compute binary expreesion, left_input=2977, right_input=1054, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4091","layer":3},{"info":"compute binary expreesion, left_input=-2486, right_input=4091, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=4972","layer":2},{"info":"number node, value=2499","layer":4},{"info":"number node, value=2731","layer":4},{"info":"compute binary expreesion, left_input=2499, right_input=2731, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=232","layer":3},{"info":"compute unary expreesion, input=232, 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=4972, right_input=1522, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=10260","layer":1},{"info":"number node, value=1009","layer":4},{"info":"number node, value=1649","layer":4},{"info":"compute binary expreesion, left_input=1009, right_input=1649, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2658","layer":3},{"info":"number node, value=2138","layer":4},{"info":"number node, value=1090","layer":4},{"info":"compute binary expreesion, left_input=2138, right_input=1090, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3228","layer":3},{"info":"compute binary expreesion, left_input=-2658, right_input=3228, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":2},{"info":"number node, value=1177","layer":4},{"info":"number node, value=2193","layer":4},{"info":"compute binary expreesion, left_input=1177, right_input=2193, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3242","layer":3},{"info":"number node, value=8228","layer":4},{"info":"number node, value=6798","layer":4},{"info":"compute binary expreesion, left_input=8228, right_input=6798, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1440","layer":3},{"info":"compute binary expreesion, left_input=3242, right_input=1440, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=0, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-1","layer":1},{"info":"compute binary expreesion, left_input=10260, right_input=-1, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻2117⩷∴⋰*⋻3032⋷⋰*⋻2267⫸⊐⋰*⋻879)⪮%⊝(+⊝⨔(⋰*⋻1972⇼⇔∾⋰*⋻2063))⫥∨⫟((⋰*⋻838⪒⋰*⋻126A/(⋰*⋻1674+⋰*⋻901))↙(⋰*⋻980⋥≓≎⋰*⋻1714∲⫓⋰*⋻6200⨰⋰*⋻5120))=NaN","reverse_text":"NaN=(⋰*⋻2117⩷∴⋰*⋻3032⋷⋰*⋻2267⫸⊐⋰*⋻879)⪮%⊝(+⊝⨔(⋰*⋻1972⇼⇔∾⋰*⋻2063))⫥∨⫟((⋰*⋻838⪒⋰*⋻126A/(⋰*⋻1674+⋰*⋻901))↙(⋰*⋻980⋥≓≎⋰*⋻1714∲⫓⋰*⋻6200⨰⋰*⋻5120))","cot":[{"info":"⋰*⋻2117⩷∴⋰*⋻3032=⋰*⋻-1960","layer":3},{"info":"⋰*⋻2267⫸⊐⋰*⋻879=⋰*⋻308A","layer":3},{"info":"⋰*⋻-1960⋷⋰*⋻308A=⋰*⋻3810","layer":2},{"info":"⋰*⋻1972⇼⇔∾⋰*⋻2063=⋰*⋻1A1","layer":3},{"info":"+⊝⨔⋰*⋻1A1=⋰*⋻1164","layer":2},{"info":"⋰*⋻3810⪮%⊝⋰*⋻1164=⋰*⋻7788","layer":1},{"info":"⋰*⋻838⪒⋰*⋻126A=⋰*⋻-1AA7","layer":3},{"info":"⋰*⋻1674+⋰*⋻901=⋰*⋻2475","layer":3},{"info":"⋰*⋻-1AA7/⋰*⋻2475=⋰*⋻-1","layer":2},{"info":"⋰*⋻980⋥≓≎⋰*⋻1714=⋰*⋻2488","layer":3},{"info":"⋰*⋻6200⨰⋰*⋻5120=⋰*⋻109A","layer":3},{"info":"⋰*⋻2488∲⫓⋰*⋻109A=⋰*⋻0","layer":2},{"info":"⋰*⋻-1↙⋰*⋻0=⋰*⋻-1","layer":1},{"info":"⋰*⋻7788⫥∨⫟⋰*⋻-1=NaN","layer":0}]}
{"id":607,"expression_no_base_symbol":"⨵≀≌$1532$⊴$6025$⨐⩸⫘($2487$⨵⪆$1711$)⪄(≦∁$3181$⪒$1199$)","expression":"⨵≀≌⋰*⋻1173⊴⋰*⋻4588⨐⩸⫘(⋰*⋻1961⨵⪆⋰*⋻1316)⪄(≦∁⋰*⋻2432⪒⋰*⋻9A0)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":32731,"operation_count":7,"complexity_ratio":4675.857142857143,"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":1532,"base":11},"right_expr":{"type":"numeric_atoms","value":6025,"base":11}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2487,"base":11},"right_expr":{"type":"numeric_atoms","value":1711,"base":11}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3181,"base":11},"right_expr":{"type":"numeric_atoms","value":1199,"base":11}}}}},"used_operators":["srAu1WTS94","SUmda5xLS4","fu6greOZ01","Nsiff2A1zJ","2DQ55sFlQl","9ICcGScMcE","f6k1SAg4EE"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","3ViojmjbAp","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻-8A72","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1532","layer":4},{"info":"number node, value=6025","layer":4},{"info":"compute binary expreesion, left_input=1532, right_input=6025, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=2487","layer":4},{"info":"number node, value=1711","layer":4},{"info":"compute binary expreesion, left_input=2487, right_input=1711, 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 = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-163","layer":2},{"info":"number node, value=3181","layer":4},{"info":"number node, value=1199","layer":4},{"info":"compute binary expreesion, left_input=3181, right_input=1199, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4380","layer":3},{"info":"compute unary expreesion, input=-4380, 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=-163, right_input=67, 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 = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-11937","layer":0}],"base":11,"result_base":11,"text":"⨵≀≌⋰*⋻1173⊴⋰*⋻4588⨐⩸⫘(⋰*⋻1961⨵⪆⋰*⋻1316)⪄(≦∁⋰*⋻2432⪒⋰*⋻9A0)=⋰*⋻-8A72","reverse_text":"⋰*⋻-8A72=⨵≀≌⋰*⋻1173⊴⋰*⋻4588⨐⩸⫘(⋰*⋻1961⨵⪆⋰*⋻1316)⪄(≦∁⋰*⋻2432⪒⋰*⋻9A0)","cot":[{"info":"⋰*⋻1173⊴⋰*⋻4588=NaN","layer":3},{"info":"⋰*⋻1961⨵⪆⋰*⋻1316=⋰*⋻136","layer":3},{"info":"NaN⨐⩸⫘⋰*⋻136=⋰*⋻-139","layer":2},{"info":"⋰*⋻2432⪒⋰*⋻9A0=⋰*⋻-3322","layer":3},{"info":"≦∁⋰*⋻-3322=⋰*⋻61","layer":2},{"info":"⋰*⋻-139⪄⋰*⋻61=⋰*⋻2A98","layer":1},{"info":"⨵≀≌⋰*⋻2A98=⋰*⋻-8A72","layer":0}]}
{"id":608,"expression_no_base_symbol":"⨞⊢(⫓⪴(⇁⨣⪵$2084$))⪢((⫛⫱⨽$1697$)≣⋋)","expression":"⨞⊢(⫓⪴(⇁⨣⪵⋰*⋻1625))⪢((⫛⫱⨽⋰*⋻1303)≣⋋)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1431,"operation_count":6,"complexity_ratio":238.5,"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":2084,"base":11}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1697,"base":11}}}}},"used_operators":["xUOZtlo3hN","dWAJyo7jo9","eLxqMNBOBk","inkyxCbjAn","Tcnh7f0tEr","DlLNRPXxWL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","9HNa5Wba9A","B5M0gjZbta","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rGHVDoGpnC"],"result":"⋰*⋻-149","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2084","layer":4},{"info":"compute unary expreesion, input=2084, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":2},{"info":"number node, value=1697","layer":4},{"info":"compute unary expreesion, input=1697, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-174","layer":0}],"base":11,"result_base":11,"text":"⨞⊢(⫓⪴(⇁⨣⪵⋰*⋻1625))⪢((⫛⫱⨽⋰*⋻1303)≣⋋)=⋰*⋻-149","reverse_text":"⋰*⋻-149=⨞⊢(⫓⪴(⇁⨣⪵⋰*⋻1625))⪢((⫛⫱⨽⋰*⋻1303)≣⋋)","cot":[{"info":"⇁⨣⪵⋰*⋻1625=NaN","layer":3},{"info":"⫓⪴NaN=NaN","layer":2},{"info":"⫛⫱⨽⋰*⋻1303=⋰*⋻0","layer":3},{"info":"⋰*⋻0≣⋋=⋰*⋻0","layer":2},{"info":"NaN⪢⋰*⋻0=⋰*⋻0","layer":1},{"info":"⨞⊢⋰*⋻0=⋰*⋻-149","layer":0}]}
{"id":609,"expression_no_base_symbol":"(⊙↵-(($1130$⋷$1744$)⪒(⪲⇎$1219$)))⋥≓≎(+⊝⨔($1730$+$2522$))⪘⫢($1599$⋝⋈⪟$3343$⊭↱$8970$↬$3100$)","expression":"(⊙↵-((⋰*⋻938⋷⋰*⋻1346)⪒(⪲⇎⋰*⋻A09)))⋥≓≎(+⊝⨔(⋰*⋻1333+⋰*⋻1993))⪘⫢(⋰*⋻1224⋝⋈⪟⋰*⋻256A⊭↱⋰*⋻6815↬⋰*⋻2369)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4900,"operation_count":11,"complexity_ratio":445.45454545454544,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1130,"base":11},"right_expr":{"type":"numeric_atoms","value":1744,"base":11}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1219,"base":11}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1730,"base":11},"right_expr":{"type":"numeric_atoms","value":2522,"base":11}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1599,"base":11},"right_expr":{"type":"numeric_atoms","value":3343,"base":11}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":8970,"base":11},"right_expr":{"type":"numeric_atoms","value":3100,"base":11}}}}},"used_operators":["Qy55tPpLXF","oWn0xqSxBt","f6k1SAg4EE","23Mk6UjR3U","XPYlsWDdGa","oacrs7FA3X","DhbWaqg5eL","W4YGzv6Whe","COABgblf1C","2DDjHMKMc0","B5M0gjZbta"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1130","layer":4},{"info":"number node, value=1744","layer":4},{"info":"compute binary expreesion, left_input=1130, right_input=1744, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2358","layer":3},{"info":"number node, value=1219","layer":4},{"info":"compute unary expreesion, input=1219, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2438","layer":3},{"info":"compute binary expreesion, left_input=2358, right_input=2438, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4796","layer":2},{"info":"compute unary expreesion, input=-4796, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":1},{"info":"number node, value=1730","layer":4},{"info":"number node, value=2522","layer":4},{"info":"compute binary expreesion, left_input=1730, right_input=2522, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4252","layer":3},{"info":"compute unary expreesion, input=4252, 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=1599","layer":4},{"info":"number node, value=3343","layer":4},{"info":"compute binary expreesion, left_input=1599, right_input=3343, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1599","layer":3},{"info":"number node, value=8970","layer":4},{"info":"number node, value=3100","layer":4},{"info":"compute binary expreesion, left_input=8970, right_input=3100, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1599, 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=1522, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=196, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⊙↵-((⋰*⋻938⋷⋰*⋻1346)⪒(⪲⇎⋰*⋻A09)))⋥≓≎(+⊝⨔(⋰*⋻1333+⋰*⋻1993))⪘⫢(⋰*⋻1224⋝⋈⪟⋰*⋻256A⊭↱⋰*⋻6815↬⋰*⋻2369)=NaN","reverse_text":"NaN=(⊙↵-((⋰*⋻938⋷⋰*⋻1346)⪒(⪲⇎⋰*⋻A09)))⋥≓≎(+⊝⨔(⋰*⋻1333+⋰*⋻1993))⪘⫢(⋰*⋻1224⋝⋈⪟⋰*⋻256A⊭↱⋰*⋻6815↬⋰*⋻2369)","cot":[{"info":"⋰*⋻938⋷⋰*⋻1346=⋰*⋻1854","layer":3},{"info":"⪲⇎⋰*⋻A09=⋰*⋻1917","layer":3},{"info":"⋰*⋻1854⪒⋰*⋻1917=⋰*⋻-3670","layer":2},{"info":"⊙↵-⋰*⋻-3670=⋰*⋻169","layer":1},{"info":"⋰*⋻1333+⋰*⋻1993=⋰*⋻3216","layer":3},{"info":"+⊝⨔⋰*⋻3216=⋰*⋻1164","layer":2},{"info":"⋰*⋻1224⋝⋈⪟⋰*⋻256A=⋰*⋻1224","layer":3},{"info":"⋰*⋻6815↬⋰*⋻2369=NaN","layer":3},{"info":"⋰*⋻1224⊭↱NaN=NaN","layer":2},{"info":"⋰*⋻1164⪘⫢NaN=NaN","layer":1},{"info":"⋰*⋻169⋥≓≎NaN=NaN","layer":0}]}
{"id":610,"expression_no_base_symbol":"($1012$⨓$2750$⋷$1661$%$1670$)≧⫂∧($2284$⨐⩸⫘$2085$)⇷($2942$%$1157$)-(⪲⇎($1070$⋓$2156$)⇷($1081$⋥≓≎$1726$))","expression":"(⋰*⋻840⨓⋰*⋻2080⋷⋰*⋻1280%⋰*⋻1289)≧⫂∧(⋰*⋻1797⨐⩸⫘⋰*⋻1626)⇷(⋰*⋻2235%⋰*⋻962)-(⪲⇎(⋰*⋻893⋓⋰*⋻1690)⇷(⋰*⋻8A3⋥≓≎⋰*⋻132A))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2797,"operation_count":12,"complexity_ratio":233.08333333333334,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1012,"base":11},"right_expr":{"type":"numeric_atoms","value":2750,"base":11}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1661,"base":11},"right_expr":{"type":"numeric_atoms","value":1670,"base":11}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2284,"base":11},"right_expr":{"type":"numeric_atoms","value":2085,"base":11}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2942,"base":11},"right_expr":{"type":"numeric_atoms","value":1157,"base":11}}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1070,"base":11},"right_expr":{"type":"numeric_atoms","value":2156,"base":11}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1081,"base":11},"right_expr":{"type":"numeric_atoms","value":1726,"base":11}}}}},"used_operators":["rysDP5nf3Z","Ph9nP6C5qx","23Mk6UjR3U","3ViojmjbAp","k8jYdgA6NY","mp7IySMOzn","fu6greOZ01","XPYlsWDdGa","T2fj7uvVaJ","Qy55tPpLXF"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⋰*⋻-6700","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1012","layer":4},{"info":"number node, value=2750","layer":4},{"info":"compute binary expreesion, left_input=1012, right_input=2750, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2753","layer":3},{"info":"number node, value=1661","layer":4},{"info":"number node, value=1670","layer":4},{"info":"compute binary expreesion, left_input=1661, right_input=1670, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1661","layer":3},{"info":"compute binary expreesion, left_input=-2753, right_input=1661, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=5506","layer":2},{"info":"number node, value=2284","layer":4},{"info":"number node, value=2085","layer":4},{"info":"compute binary expreesion, left_input=2284, right_input=2085, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=2942","layer":4},{"info":"number node, value=1157","layer":4},{"info":"compute binary expreesion, left_input=2942, right_input=1157, op_id = k8jYdgA6NY binary_op_definition= 'None', output=628","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=628, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=1256","layer":2},{"info":"compute binary expreesion, left_input=5506, right_input=1256, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=783","layer":1},{"info":"number node, value=1070","layer":4},{"info":"number node, value=2156","layer":4},{"info":"compute binary expreesion, left_input=1070, right_input=2156, op_id = T2fj7uvVaJ binary_op_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=1081","layer":4},{"info":"number node, value=1726","layer":4},{"info":"compute binary expreesion, left_input=1081, right_input=1726, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2404","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2404, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4808","layer":2},{"info":"compute unary expreesion, input=4808, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=9616","layer":1},{"info":"compute binary expreesion, left_input=783, right_input=9616, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-8833","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻840⨓⋰*⋻2080⋷⋰*⋻1280%⋰*⋻1289)≧⫂∧(⋰*⋻1797⨐⩸⫘⋰*⋻1626)⇷(⋰*⋻2235%⋰*⋻962)-(⪲⇎(⋰*⋻893⋓⋰*⋻1690)⇷(⋰*⋻8A3⋥≓≎⋰*⋻132A))=⋰*⋻-6700","reverse_text":"⋰*⋻-6700=(⋰*⋻840⨓⋰*⋻2080⋷⋰*⋻1280%⋰*⋻1289)≧⫂∧(⋰*⋻1797⨐⩸⫘⋰*⋻1626)⇷(⋰*⋻2235%⋰*⋻962)-(⪲⇎(⋰*⋻893⋓⋰*⋻1690)⇷(⋰*⋻8A3⋥≓≎⋰*⋻132A))","cot":[{"info":"⋰*⋻840⨓⋰*⋻2080=⋰*⋻-2083","layer":3},{"info":"⋰*⋻1280%⋰*⋻1289=⋰*⋻1280","layer":3},{"info":"⋰*⋻-2083⋷⋰*⋻1280=⋰*⋻4156","layer":2},{"info":"⋰*⋻1797⨐⩸⫘⋰*⋻1626=NaN","layer":3},{"info":"⋰*⋻2235%⋰*⋻962=⋰*⋻521","layer":3},{"info":"NaN⇷⋰*⋻521=⋰*⋻A42","layer":2},{"info":"⋰*⋻4156≧⫂∧⋰*⋻A42=⋰*⋻652","layer":1},{"info":"⋰*⋻893⋓⋰*⋻1690=⋰*⋻0","layer":3},{"info":"⋰*⋻8A3⋥≓≎⋰*⋻132A=⋰*⋻1896","layer":3},{"info":"⋰*⋻0⇷⋰*⋻1896=⋰*⋻3681","layer":2},{"info":"⪲⇎⋰*⋻3681=⋰*⋻7252","layer":1},{"info":"⋰*⋻652-⋰*⋻7252=⋰*⋻-6700","layer":0}]}
{"id":611,"expression_no_base_symbol":"($2356$⨐⩸⫘$7028$%$1111$⫥∨⫟$4925$⋷($1141$⫡⨏$3182$)⨳⩥⨓$2719$⊴$1749$)⪠⩆⊳","expression":"(⋰*⋻1852⨐⩸⫘⋰*⋻530A%⋰*⋻920⫥∨⫟⋰*⋻3778⋷(⋰*⋻948⫡⨏⋰*⋻2433)⨳⩥⨓⋰*⋻2052⊴⋰*⋻1350)⪠⩆⊳","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":6215,"operation_count":8,"complexity_ratio":776.875,"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":2356,"base":11},"right_expr":{"type":"numeric_atoms","value":7028,"base":11}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1111,"base":11},"right_expr":{"type":"numeric_atoms","value":4925,"base":11}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1141,"base":11},"right_expr":{"type":"numeric_atoms","value":3182,"base":11}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2719,"base":11},"right_expr":{"type":"numeric_atoms","value":1749,"base":11}}}}},"used_operators":["JLbD19bQDL","23Mk6UjR3U","k8jYdgA6NY","fu6greOZ01","KYD54nUTWz","nCS4ZIUYfx","QMFrweE19q","Nsiff2A1zJ"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","3ViojmjbAp","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=2356","layer":4},{"info":"number node, value=7028","layer":4},{"info":"compute binary expreesion, left_input=2356, right_input=7028, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=1111","layer":4},{"info":"number node, value=4925","layer":4},{"info":"compute binary expreesion, left_input=1111, right_input=4925, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1141","layer":4},{"info":"number node, value=3182","layer":4},{"info":"compute binary expreesion, left_input=1141, right_input=3182, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=12852","layer":3},{"info":"number node, value=2719","layer":4},{"info":"number node, value=1749","layer":4},{"info":"compute binary expreesion, left_input=2719, right_input=1749, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=12852, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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 = 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":11,"result_base":11,"text":"(⋰*⋻1852⨐⩸⫘⋰*⋻530A%⋰*⋻920⫥∨⫟⋰*⋻3778⋷(⋰*⋻948⫡⨏⋰*⋻2433)⨳⩥⨓⋰*⋻2052⊴⋰*⋻1350)⪠⩆⊳=NaN","reverse_text":"NaN=(⋰*⋻1852⨐⩸⫘⋰*⋻530A%⋰*⋻920⫥∨⫟⋰*⋻3778⋷(⋰*⋻948⫡⨏⋰*⋻2433)⨳⩥⨓⋰*⋻2052⊴⋰*⋻1350)⪠⩆⊳","cot":[{"info":"⋰*⋻1852⨐⩸⫘⋰*⋻530A=NaN","layer":3},{"info":"⋰*⋻920⫥∨⫟⋰*⋻3778=NaN","layer":3},{"info":"NaN%NaN=NaN","layer":2},{"info":"⋰*⋻948⫡⨏⋰*⋻2433=⋰*⋻9724","layer":3},{"info":"⋰*⋻2052⊴⋰*⋻1350=NaN","layer":3},{"info":"⋰*⋻9724⨳⩥⨓NaN=NaN","layer":2},{"info":"NaN⋷NaN=NaN","layer":1},{"info":"NaN⪠⩆⊳=NaN","layer":0}]}
{"id":612,"expression_no_base_symbol":"≉(($1090$↪⪝)⩷∴$6133$⪮%⊝$2620$⊘)","expression":"≉((⋰*⋻901↪⪝)⩷∴⋰*⋻4676⪮%⊝⋰*⋻1A72⊘)","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":736,"operation_count":5,"complexity_ratio":147.2,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1090,"base":11}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":6133,"base":11},"right_expr":{"type":"numeric_atoms","value":2620,"base":11}}}}},"used_operators":["e1ybzncUwg","gu96TGCTMs","9FxExcQeMw","l07mrZUIn9","IWmyXbctLI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","9HNa5Wba9A","2DDjHMKMc0","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⋰*⋻443","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1090","layer":4},{"info":"compute unary expreesion, input=1090, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=66688380","layer":3},{"info":"number node, value=6133","layer":4},{"info":"number node, value=2620","layer":4},{"info":"compute binary expreesion, left_input=6133, right_input=2620, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=12582","layer":3},{"info":"compute binary expreesion, left_input=66688380, right_input=12582, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=133351564","layer":2},{"info":"compute unary expreesion, input=133351564, 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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=531","layer":0}],"base":11,"result_base":11,"text":"≉((⋰*⋻901↪⪝)⩷∴⋰*⋻4676⪮%⊝⋰*⋻1A72⊘)=⋰*⋻443","reverse_text":"⋰*⋻443=≉((⋰*⋻901↪⪝)⩷∴⋰*⋻4676⪮%⊝⋰*⋻1A72⊘)","cot":[{"info":"⋰*⋻901↪⪝=⋰*⋻34709A70","layer":3},{"info":"⋰*⋻4676⪮%⊝⋰*⋻1A72=⋰*⋻94A9","layer":3},{"info":"⋰*⋻34709A70⩷∴⋰*⋻94A9=⋰*⋻69301005","layer":2},{"info":"⋰*⋻69301005⊘=⋰*⋻0","layer":1},{"info":"≉⋰*⋻0=⋰*⋻443","layer":0}]}
{"id":613,"expression_no_base_symbol":"((⊙↵-($1211$⩚⊴⇥$1464$))⩷∴($2862$∀⇚≩$6769$≧⫂∧(⇁⨣⪵$1021$)))⪮%⊝((⩦⩻⨪$1840$)⪛(↽≂$1087$)⋳⪒(⊙↵-(↣≠⋷$1664$)))","expression":"((⊙↵-(⋰*⋻A01⩚⊴⇥⋰*⋻1111))⩷∴(⋰*⋻2172∀⇚≩⋰*⋻50A4≧⫂∧(⇁⨣⪵⋰*⋻849)))⪮%⊝((⩦⩻⨪⋰*⋻1423)⪛(↽≂⋰*⋻8A9)⋳⪒(⊙↵-(↣≠⋷⋰*⋻1283)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":22929,"operation_count":13,"complexity_ratio":1763.7692307692307,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1211,"base":11},"right_expr":{"type":"numeric_atoms","value":1464,"base":11}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2862,"base":11},"right_expr":{"type":"numeric_atoms","value":6769,"base":11}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1021,"base":11}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1840,"base":11}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1087,"base":11}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1664,"base":11}}}}},"used_operators":["IWmyXbctLI","9FxExcQeMw","oWn0xqSxBt","NTOWxs364D","Ph9nP6C5qx","LRNGc0VcxI","inkyxCbjAn","12rbrZMWeM","uFcxV4UQCh","2td37pGCOC","u6S6b8DprG","Asc51vEJeQ"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1211","layer":4},{"info":"number node, value=1464","layer":4},{"info":"compute binary expreesion, left_input=1211, right_input=1464, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2796","layer":3},{"info":"compute unary expreesion, input=-2796, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":2},{"info":"number node, value=2862","layer":4},{"info":"number node, value=6769","layer":4},{"info":"compute binary expreesion, left_input=2862, right_input=6769, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1021","layer":4},{"info":"compute unary expreesion, input=1021, 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 = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=196, 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=1840","layer":4},{"info":"compute unary expreesion, input=1840, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1840","layer":3},{"info":"number node, value=1087","layer":4},{"info":"compute unary expreesion, input=1087, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2174","layer":3},{"info":"compute binary expreesion, left_input=1840, right_input=-2174, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-334","layer":2},{"info":"number node, value=1664","layer":4},{"info":"compute unary expreesion, input=1664, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-334, 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":11,"result_base":11,"text":"((⊙↵-(⋰*⋻A01⩚⊴⇥⋰*⋻1111))⩷∴(⋰*⋻2172∀⇚≩⋰*⋻50A4≧⫂∧(⇁⨣⪵⋰*⋻849)))⪮%⊝((⩦⩻⨪⋰*⋻1423)⪛(↽≂⋰*⋻8A9)⋳⪒(⊙↵-(↣≠⋷⋰*⋻1283)))=NaN","reverse_text":"NaN=((⊙↵-(⋰*⋻A01⩚⊴⇥⋰*⋻1111))⩷∴(⋰*⋻2172∀⇚≩⋰*⋻50A4≧⫂∧(⇁⨣⪵⋰*⋻849)))⪮%⊝((⩦⩻⨪⋰*⋻1423)⪛(↽≂⋰*⋻8A9)⋳⪒(⊙↵-(↣≠⋷⋰*⋻1283)))","cot":[{"info":"⋰*⋻A01⩚⊴⇥⋰*⋻1111=⋰*⋻-2112","layer":3},{"info":"⊙↵-⋰*⋻-2112=⋰*⋻169","layer":2},{"info":"⋰*⋻2172∀⇚≩⋰*⋻50A4=NaN","layer":3},{"info":"⇁⨣⪵⋰*⋻849=NaN","layer":3},{"info":"NaN≧⫂∧NaN=NaN","layer":2},{"info":"⋰*⋻169⩷∴NaN=NaN","layer":1},{"info":"⩦⩻⨪⋰*⋻1423=⋰*⋻1423","layer":3},{"info":"↽≂⋰*⋻8A9=⋰*⋻-16A7","layer":3},{"info":"⋰*⋻1423⪛⋰*⋻-16A7=⋰*⋻-284","layer":2},{"info":"↣≠⋷⋰*⋻1283=NaN","layer":3},{"info":"⊙↵-NaN=NaN","layer":2},{"info":"⋰*⋻-284⋳⪒NaN=NaN","layer":1},{"info":"NaN⪮%⊝NaN=NaN","layer":0}]}
{"id":614,"expression_no_base_symbol":"((⊙↵-($1429$↙$6736$))≎⊠⪸($4503$⊴$2708$≎⊠⪸($1035$*$7538$)))∼(($4637$*$1259$)∀⇚≩($5845$⪒$5728$)⨰($1536$⪘⫢$2381$⨽(⋗⩬⋾$5825$)))","expression":"((⊙↵-(⋰*⋻108A↙⋰*⋻5074))≎⊠⪸(⋰*⋻3424⊴⋰*⋻2042≎⊠⪸(⋰*⋻861*⋰*⋻5733)))∼((⋰*⋻3536*⋰*⋻A45)∀⇚≩(⋰*⋻4434⪒⋰*⋻4338)⨰(⋰*⋻1177⪘⫢⋰*⋻1875⨽(⋗⩬⋾⋰*⋻4416)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":36886,"operation_count":14,"complexity_ratio":2634.714285714286,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1429,"base":11},"right_expr":{"type":"numeric_atoms","value":6736,"base":11}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4503,"base":11},"right_expr":{"type":"numeric_atoms","value":2708,"base":11}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1035,"base":11},"right_expr":{"type":"numeric_atoms","value":7538,"base":11}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4637,"base":11},"right_expr":{"type":"numeric_atoms","value":1259,"base":11}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":5845,"base":11},"right_expr":{"type":"numeric_atoms","value":5728,"base":11}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1536,"base":11},"right_expr":{"type":"numeric_atoms","value":2381,"base":11}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":5825,"base":11}}}}},"used_operators":["DyGG3AbaNP","bJkvcejdHO","oWn0xqSxBt","yyfyN0ffXY","Nsiff2A1zJ","9HNa5Wba9A","eewbuw0ToL","LRNGc0VcxI","f6k1SAg4EE","8HhzD0ZcuI","oacrs7FA3X","DpFCA1CohY"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","tmPS8pqC7x","DpFCA1CohY","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1429","layer":4},{"info":"number node, value=6736","layer":4},{"info":"compute binary expreesion, left_input=1429, right_input=6736, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-20208","layer":3},{"info":"compute unary expreesion, input=-20208, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":2},{"info":"number node, value=4503","layer":4},{"info":"number node, value=2708","layer":4},{"info":"compute binary expreesion, left_input=4503, right_input=2708, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1035","layer":4},{"info":"number node, value=7538","layer":4},{"info":"compute binary expreesion, left_input=1035, right_input=7538, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=7801830","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7801830, 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=196, 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=4637","layer":4},{"info":"number node, value=1259","layer":4},{"info":"compute binary expreesion, left_input=4637, right_input=1259, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=5837983","layer":3},{"info":"number node, value=5845","layer":4},{"info":"number node, value=5728","layer":4},{"info":"compute binary expreesion, left_input=5845, right_input=5728, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-11573","layer":3},{"info":"compute binary expreesion, left_input=5837983, right_input=-11573, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1536","layer":4},{"info":"number node, value=2381","layer":4},{"info":"compute binary expreesion, left_input=1536, right_input=2381, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2948","layer":3},{"info":"number node, value=5825","layer":4},{"info":"compute unary expreesion, input=5825, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-17475","layer":3},{"info":"compute binary expreesion, left_input=2948, right_input=-17475, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-26018373","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-26018373, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⊙↵-(⋰*⋻108A↙⋰*⋻5074))≎⊠⪸(⋰*⋻3424⊴⋰*⋻2042≎⊠⪸(⋰*⋻861*⋰*⋻5733)))∼((⋰*⋻3536*⋰*⋻A45)∀⇚≩(⋰*⋻4434⪒⋰*⋻4338)⨰(⋰*⋻1177⪘⫢⋰*⋻1875⨽(⋗⩬⋾⋰*⋻4416)))=NaN","reverse_text":"NaN=((⊙↵-(⋰*⋻108A↙⋰*⋻5074))≎⊠⪸(⋰*⋻3424⊴⋰*⋻2042≎⊠⪸(⋰*⋻861*⋰*⋻5733)))∼((⋰*⋻3536*⋰*⋻A45)∀⇚≩(⋰*⋻4434⪒⋰*⋻4338)⨰(⋰*⋻1177⪘⫢⋰*⋻1875⨽(⋗⩬⋾⋰*⋻4416)))","cot":[{"info":"⋰*⋻108A↙⋰*⋻5074=⋰*⋻-14201","layer":3},{"info":"⊙↵-⋰*⋻-14201=⋰*⋻169","layer":2},{"info":"⋰*⋻3424⊴⋰*⋻2042=NaN","layer":3},{"info":"⋰*⋻861*⋰*⋻5733=⋰*⋻44496A3","layer":3},{"info":"NaN≎⊠⪸⋰*⋻44496A3=NaN","layer":2},{"info":"⋰*⋻169≎⊠⪸NaN=⋰*⋻61","layer":1},{"info":"⋰*⋻3536*⋰*⋻A45=⋰*⋻3328188","layer":3},{"info":"⋰*⋻4434⪒⋰*⋻4338=⋰*⋻-8771","layer":3},{"info":"⋰*⋻3328188∀⇚≩⋰*⋻-8771=NaN","layer":2},{"info":"⋰*⋻1177⪘⫢⋰*⋻1875=⋰*⋻2240","layer":3},{"info":"⋗⩬⋾⋰*⋻4416=⋰*⋻-12147","layer":3},{"info":"⋰*⋻2240⨽⋰*⋻-12147=⋰*⋻-13760A97","layer":2},{"info":"NaN⨰⋰*⋻-13760A97=NaN","layer":1},{"info":"⋰*⋻61∼NaN=NaN","layer":0}]}
{"id":615,"expression_no_base_symbol":"⫓⪴(⩦⩻⨪($1830$⇼⇔∾$1058$)⩷∴$3006$∼$8259$)","expression":"⫓⪴(⩦⩻⨪(⋰*⋻1414⇼⇔∾⋰*⋻882)⩷∴⋰*⋻2293∼⋰*⋻6229)","highest_n_order":4,"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":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1830,"base":11},"right_expr":{"type":"numeric_atoms","value":1058,"base":11}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3006,"base":11},"right_expr":{"type":"numeric_atoms","value":8259,"base":11}}}}},"used_operators":["eLxqMNBOBk","2td37pGCOC","9FxExcQeMw","tifHPKVTfV","DyGG3AbaNP"],"dependent_operators":["9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=1830","layer":4},{"info":"number node, value=1058","layer":4},{"info":"compute binary expreesion, left_input=1830, right_input=1058, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-772","layer":3},{"info":"number node, value=3006","layer":4},{"info":"number node, value=8259","layer":4},{"info":"compute binary expreesion, left_input=3006, right_input=8259, 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=-772, 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 = 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":11,"result_base":11,"text":"⫓⪴(⩦⩻⨪(⋰*⋻1414⇼⇔∾⋰*⋻882)⩷∴⋰*⋻2293∼⋰*⋻6229)=NaN","reverse_text":"NaN=⫓⪴(⩦⩻⨪(⋰*⋻1414⇼⇔∾⋰*⋻882)⩷∴⋰*⋻2293∼⋰*⋻6229)","cot":[{"info":"⋰*⋻1414⇼⇔∾⋰*⋻882=⋰*⋻-642","layer":3},{"info":"⋰*⋻2293∼⋰*⋻6229=NaN","layer":3},{"info":"⋰*⋻-642⩷∴NaN=NaN","layer":2},{"info":"⩦⩻⨪NaN=NaN","layer":1},{"info":"⫓⪴NaN=NaN","layer":0}]}
{"id":616,"expression_no_base_symbol":"(⫛⫱⨽(($3004$⨐⩸⫘$1122$)⩷∴($5238$⫥∨⫟$1403$)))⨳⩥⨓($4540$⫸⊐$1799$)⪢($1823$⪄$1175$)⨽($1243$⪘⫢$1569$%($2534$⪠⩆⊳))","expression":"(⫛⫱⨽((⋰*⋻2291⨐⩸⫘⋰*⋻930)⩷∴(⋰*⋻3A32⫥∨⫟⋰*⋻1066)))⨳⩥⨓(⋰*⋻3458⫸⊐⋰*⋻1396)⪢(⋰*⋻1408⪄⋰*⋻979)⨽(⋰*⋻A30⪘⫢⋰*⋻11A7%(⋰*⋻19A4⪠⩆⊳))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":271820,"operation_count":12,"complexity_ratio":22651.666666666668,"tree":{"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":11},"right_expr":{"type":"numeric_atoms","value":1122,"base":11}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5238,"base":11},"right_expr":{"type":"numeric_atoms","value":1403,"base":11}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4540,"base":11},"right_expr":{"type":"numeric_atoms","value":1799,"base":11}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1823,"base":11},"right_expr":{"type":"numeric_atoms","value":1175,"base":11}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1243,"base":11},"right_expr":{"type":"numeric_atoms","value":1569,"base":11}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":2534,"base":11}}}}},"used_operators":["nCS4ZIUYfx","DlLNRPXxWL","9FxExcQeMw","fu6greOZ01","KYD54nUTWz","8HhzD0ZcuI","dWAJyo7jo9","mqXw5SEYmG","SUmda5xLS4","k8jYdgA6NY","oacrs7FA3X","JLbD19bQDL"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","rysDP5nf3Z","3ViojmjbAp","8HhzD0ZcuI","rGHVDoGpnC","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","k8jYdgA6NY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3004","layer":4},{"info":"number node, value=1122","layer":4},{"info":"compute binary expreesion, left_input=3004, right_input=1122, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=5238","layer":4},{"info":"number node, value=1403","layer":4},{"info":"compute binary expreesion, left_input=5238, right_input=1403, 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 = 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 = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":1},{"info":"number node, value=4540","layer":4},{"info":"number node, value=1799","layer":4},{"info":"compute binary expreesion, left_input=4540, right_input=1799, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=7071","layer":3},{"info":"number node, value=1823","layer":4},{"info":"number node, value=1175","layer":4},{"info":"compute binary expreesion, left_input=1823, right_input=1175, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-270593","layer":3},{"info":"compute binary expreesion, left_input=7071, right_input=-270593, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1243","layer":4},{"info":"number node, value=1569","layer":4},{"info":"compute binary expreesion, left_input=1243, right_input=1569, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2362","layer":3},{"info":"number node, value=2534","layer":4},{"info":"compute unary expreesion, input=2534, 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=2362, right_input=0, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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 = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⫛⫱⨽((⋰*⋻2291⨐⩸⫘⋰*⋻930)⩷∴(⋰*⋻3A32⫥∨⫟⋰*⋻1066)))⨳⩥⨓(⋰*⋻3458⫸⊐⋰*⋻1396)⪢(⋰*⋻1408⪄⋰*⋻979)⨽(⋰*⋻A30⪘⫢⋰*⋻11A7%(⋰*⋻19A4⪠⩆⊳))=NaN","reverse_text":"NaN=(⫛⫱⨽((⋰*⋻2291⨐⩸⫘⋰*⋻930)⩷∴(⋰*⋻3A32⫥∨⫟⋰*⋻1066)))⨳⩥⨓(⋰*⋻3458⫸⊐⋰*⋻1396)⪢(⋰*⋻1408⪄⋰*⋻979)⨽(⋰*⋻A30⪘⫢⋰*⋻11A7%(⋰*⋻19A4⪠⩆⊳))","cot":[{"info":"⋰*⋻2291⨐⩸⫘⋰*⋻930=NaN","layer":3},{"info":"⋰*⋻3A32⫥∨⫟⋰*⋻1066=NaN","layer":3},{"info":"NaN⩷∴NaN=NaN","layer":2},{"info":"⫛⫱⨽NaN=NaN","layer":1},{"info":"⋰*⋻3458⫸⊐⋰*⋻1396=⋰*⋻5349","layer":3},{"info":"⋰*⋻1408⪄⋰*⋻979=⋰*⋻-175334","layer":3},{"info":"⋰*⋻5349⪢⋰*⋻-175334=NaN","layer":2},{"info":"⋰*⋻A30⪘⫢⋰*⋻11A7=⋰*⋻1858","layer":3},{"info":"⋰*⋻19A4⪠⩆⊳=⋰*⋻0","layer":3},{"info":"⋰*⋻1858%⋰*⋻0=NaN","layer":2},{"info":"NaN⨽NaN=NaN","layer":1},{"info":"NaN⨳⩥⨓NaN=NaN","layer":0}]}
{"id":617,"expression_no_base_symbol":"((≤/$2459$)↬($2910$⋓$2286$)⨎($1018$⨽$2144$)⪢($1376$⨁⊸⫻))∸","expression":"((≤/⋰*⋻1936)↬(⋰*⋻2206⋓⋰*⋻1799)⨎(⋰*⋻846⨽⋰*⋻167A)⪢(⋰*⋻1041⨁⊸⫻))∸","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":93173,"operation_count":8,"complexity_ratio":11646.625,"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":2459,"base":11}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2910,"base":11},"right_expr":{"type":"numeric_atoms","value":2286,"base":11}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1018,"base":11},"right_expr":{"type":"numeric_atoms","value":2144,"base":11}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1376,"base":11}}}}},"used_operators":["o20kRiQErp","rJVOvQCfKK","B5M0gjZbta","eLAdDNolq6","T2fj7uvVaJ","dWAJyo7jo9","8HhzD0ZcuI","glklzrTFfD"],"dependent_operators":["tmPS8pqC7x","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rGHVDoGpnC","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","k8jYdgA6NY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z"],"result":"⋰*⋻151","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2459","layer":4},{"info":"compute unary expreesion, input=2459, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1975","layer":3},{"info":"number node, value=2910","layer":4},{"info":"number node, value=2286","layer":4},{"info":"compute binary expreesion, left_input=2910, right_input=2286, op_id = T2fj7uvVaJ binary_op_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=-1975, 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=1018","layer":4},{"info":"number node, value=2144","layer":4},{"info":"compute binary expreesion, left_input=1018, right_input=2144, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3114090","layer":3},{"info":"number node, value=1376","layer":4},{"info":"compute unary expreesion, input=1376, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1376","layer":3},{"info":"compute binary expreesion, left_input=-3114090, right_input=1376, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = 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 = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":0}],"base":11,"result_base":11,"text":"((≤/⋰*⋻1936)↬(⋰*⋻2206⋓⋰*⋻1799)⨎(⋰*⋻846⨽⋰*⋻167A)⪢(⋰*⋻1041⨁⊸⫻))∸=⋰*⋻151","reverse_text":"⋰*⋻151=((≤/⋰*⋻1936)↬(⋰*⋻2206⋓⋰*⋻1799)⨎(⋰*⋻846⨽⋰*⋻167A)⪢(⋰*⋻1041⨁⊸⫻))∸","cot":[{"info":"≤/⋰*⋻1936=⋰*⋻-1536","layer":3},{"info":"⋰*⋻2206⋓⋰*⋻1799=⋰*⋻0","layer":3},{"info":"⋰*⋻-1536↬⋰*⋻0=NaN","layer":2},{"info":"⋰*⋻846⨽⋰*⋻167A=⋰*⋻-1837731","layer":3},{"info":"⋰*⋻1041⨁⊸⫻=⋰*⋻1041","layer":3},{"info":"⋰*⋻-1837731⪢⋰*⋻1041=NaN","layer":2},{"info":"NaN⨎NaN=NaN","layer":1},{"info":"NaN∸=⋰*⋻151","layer":0}]}
{"id":618,"expression_no_base_symbol":"$1578$⪛$1387$⫥∨⫟($2302$⇼⇔∾$2321$)⋳⪒($2231$≎⊠⪸$1848$⨽$5648$≎⊠⪸$1417$)∲⫓($3085$⨵⪆$3641$)∀⇚≩($1550$⊉≛↸$1592$)↺(≦∁$5977$⇷$2231$)","expression":"⋰*⋻1205⪛⋰*⋻1051⫥∨⫟(⋰*⋻1803⇼⇔∾⋰*⋻1820)⋳⪒(⋰*⋻1749≎⊠⪸⋰*⋻1430⨽⋰*⋻4275≎⊠⪸⋰*⋻1079)∲⫓(⋰*⋻2355⨵⪆⋰*⋻2810)∀⇚≩(⋰*⋻118A⊉≛↸⋰*⋻1218)↺(≦∁⋰*⋻4544⇷⋰*⋻1749)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":662884,"operation_count":14,"complexity_ratio":47348.857142857145,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1578,"base":11},"right_expr":{"type":"numeric_atoms","value":1387,"base":11}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2302,"base":11},"right_expr":{"type":"numeric_atoms","value":2321,"base":11}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2231,"base":11},"right_expr":{"type":"numeric_atoms","value":1848,"base":11}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":5648,"base":11},"right_expr":{"type":"numeric_atoms","value":1417,"base":11}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3085,"base":11},"right_expr":{"type":"numeric_atoms","value":3641,"base":11}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1550,"base":11},"right_expr":{"type":"numeric_atoms","value":1592,"base":11}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":5977,"base":11},"right_expr":{"type":"numeric_atoms","value":2231,"base":11}}}}},"used_operators":["i8ToyICDmI","12rbrZMWeM","KYD54nUTWz","uFcxV4UQCh","tifHPKVTfV","8HhzD0ZcuI","bJkvcejdHO","7j4O788W3g","LRNGc0VcxI","2DQ55sFlQl","DZ8iAZOCBD","9ICcGScMcE","mp7IySMOzn"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1578","layer":4},{"info":"number node, value=1387","layer":4},{"info":"compute binary expreesion, left_input=1578, right_input=1387, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=191","layer":3},{"info":"number node, value=2302","layer":4},{"info":"number node, value=2321","layer":4},{"info":"compute binary expreesion, left_input=2302, right_input=2321, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=19","layer":3},{"info":"compute binary expreesion, left_input=191, right_input=19, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=2231","layer":4},{"info":"number node, value=1848","layer":4},{"info":"compute binary expreesion, left_input=2231, right_input=1848, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=577356","layer":3},{"info":"number node, value=5648","layer":4},{"info":"number node, value=1417","layer":4},{"info":"compute binary expreesion, left_input=5648, right_input=1417, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1462359","layer":3},{"info":"compute binary expreesion, left_input=577356, right_input=1462359, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-inf, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"number node, value=3085","layer":4},{"info":"number node, value=3641","layer":4},{"info":"compute binary expreesion, left_input=3085, right_input=3641, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1550","layer":4},{"info":"number node, value=1592","layer":4},{"info":"compute binary expreesion, left_input=1550, right_input=1592, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3100","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=3100, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=5977","layer":4},{"info":"number node, value=2231","layer":4},{"info":"compute binary expreesion, left_input=5977, right_input=2231, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4462","layer":3},{"info":"compute unary expreesion, input=4462, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=4462","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4462, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4462","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4462, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":0}],"base":11,"result_base":11,"text":"⋰*⋻1205⪛⋰*⋻1051⫥∨⫟(⋰*⋻1803⇼⇔∾⋰*⋻1820)⋳⪒(⋰*⋻1749≎⊠⪸⋰*⋻1430⨽⋰*⋻4275≎⊠⪸⋰*⋻1079)∲⫓(⋰*⋻2355⨵⪆⋰*⋻2810)∀⇚≩(⋰*⋻118A⊉≛↸⋰*⋻1218)↺(≦∁⋰*⋻4544⇷⋰*⋻1749)=⋰*⋻0","reverse_text":"⋰*⋻0=⋰*⋻1205⪛⋰*⋻1051⫥∨⫟(⋰*⋻1803⇼⇔∾⋰*⋻1820)⋳⪒(⋰*⋻1749≎⊠⪸⋰*⋻1430⨽⋰*⋻4275≎⊠⪸⋰*⋻1079)∲⫓(⋰*⋻2355⨵⪆⋰*⋻2810)∀⇚≩(⋰*⋻118A⊉≛↸⋰*⋻1218)↺(≦∁⋰*⋻4544⇷⋰*⋻1749)","cot":[{"info":"⋰*⋻1205⪛⋰*⋻1051=⋰*⋻164","layer":3},{"info":"⋰*⋻1803⇼⇔∾⋰*⋻1820=⋰*⋻18","layer":3},{"info":"⋰*⋻164⫥∨⫟⋰*⋻18=NaN","layer":2},{"info":"⋰*⋻1749≎⊠⪸⋰*⋻1430=⋰*⋻36485A","layer":3},{"info":"⋰*⋻4275≎⊠⪸⋰*⋻1079=⋰*⋻909768","layer":3},{"info":"⋰*⋻36485A⨽⋰*⋻909768=-Inf","layer":2},{"info":"NaN⋳⪒-Inf=NaN","layer":1},{"info":"⋰*⋻2355⨵⪆⋰*⋻2810=⋰*⋻136","layer":3},{"info":"⋰*⋻118A⊉≛↸⋰*⋻1218=⋰*⋻2369","layer":3},{"info":"⋰*⋻136∀⇚≩⋰*⋻2369=NaN","layer":2},{"info":"⋰*⋻4544⇷⋰*⋻1749=⋰*⋻3397","layer":3},{"info":"≦∁⋰*⋻3397=⋰*⋻3397","layer":2},{"info":"NaN↺⋰*⋻3397=⋰*⋻3397","layer":1},{"info":"NaN∲⫓⋰*⋻3397=⋰*⋻0","layer":0}]}
{"id":619,"expression_no_base_symbol":"(($1259$⨳⩥⨓$1271$)⨓($1339$+$1570$)⩨(⇁⨣⪵$2059$↺$5782$))↺($2427$⩨$1041$+($1627$⊠≄⫣))+⇶⊼($1027$⪮%⊝$1902$%$1884$⪢$1702$)","expression":"((⋰*⋻A45⨳⩥⨓⋰*⋻A56)⨓(⋰*⋻1008+⋰*⋻11A8)⩨(⇁⨣⪵⋰*⋻1602↺⋰*⋻4387))↺(⋰*⋻1907⩨⋰*⋻867+(⋰*⋻124A⊠≄⫣))+⇶⊼(⋰*⋻854⪮%⊝⋰*⋻147A%⋰*⋻1463⪢⋰*⋻1308)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5456,"operation_count":14,"complexity_ratio":389.7142857142857,"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":1259,"base":11},"right_expr":{"type":"numeric_atoms","value":1271,"base":11}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1339,"base":11},"right_expr":{"type":"numeric_atoms","value":1570,"base":11}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2059,"base":11},"right_expr":{"type":"numeric_atoms","value":5782,"base":11}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2427,"base":11},"right_expr":{"type":"numeric_atoms","value":1041,"base":11}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1627,"base":11}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1027,"base":11},"right_expr":{"type":"numeric_atoms","value":1902,"base":11}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1884,"base":11},"right_expr":{"type":"numeric_atoms","value":1702,"base":11}}}}},"used_operators":["7j4O788W3g","2DlMacCsIx","3ViojmjbAp","nCS4ZIUYfx","W4YGzv6Whe","inkyxCbjAn","TpPTUOHfaN","DIvbN7qnHd","k8jYdgA6NY","IWmyXbctLI","dWAJyo7jo9"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","B5M0gjZbta","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1259","layer":4},{"info":"number node, value=1271","layer":4},{"info":"compute binary expreesion, left_input=1259, right_input=1271, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=12","layer":3},{"info":"number node, value=1339","layer":4},{"info":"number node, value=1570","layer":4},{"info":"compute binary expreesion, left_input=1339, right_input=1570, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2909","layer":3},{"info":"compute binary expreesion, left_input=12, right_input=2909, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2912","layer":2},{"info":"number node, value=2059","layer":4},{"info":"number node, value=5782","layer":4},{"info":"compute binary expreesion, left_input=2059, right_input=5782, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5782","layer":3},{"info":"compute unary expreesion, input=5782, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2912, 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=2427","layer":4},{"info":"number node, value=1041","layer":4},{"info":"compute binary expreesion, left_input=2427, right_input=1041, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=1627","layer":4},{"info":"compute unary expreesion, input=1627, 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 = W4YGzv6Whe binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=1027","layer":4},{"info":"number node, value=1902","layer":4},{"info":"compute binary expreesion, left_input=1027, right_input=1902, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2370","layer":3},{"info":"number node, value=1884","layer":4},{"info":"number node, value=1702","layer":4},{"info":"compute binary expreesion, left_input=1884, right_input=1702, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=2370, 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 = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻A45⨳⩥⨓⋰*⋻A56)⨓(⋰*⋻1008+⋰*⋻11A8)⩨(⇁⨣⪵⋰*⋻1602↺⋰*⋻4387))↺(⋰*⋻1907⩨⋰*⋻867+(⋰*⋻124A⊠≄⫣))+⇶⊼(⋰*⋻854⪮%⊝⋰*⋻147A%⋰*⋻1463⪢⋰*⋻1308)=NaN","reverse_text":"NaN=((⋰*⋻A45⨳⩥⨓⋰*⋻A56)⨓(⋰*⋻1008+⋰*⋻11A8)⩨(⇁⨣⪵⋰*⋻1602↺⋰*⋻4387))↺(⋰*⋻1907⩨⋰*⋻867+(⋰*⋻124A⊠≄⫣))+⇶⊼(⋰*⋻854⪮%⊝⋰*⋻147A%⋰*⋻1463⪢⋰*⋻1308)","cot":[{"info":"⋰*⋻A45⨳⩥⨓⋰*⋻A56=⋰*⋻11","layer":3},{"info":"⋰*⋻1008+⋰*⋻11A8=⋰*⋻2205","layer":3},{"info":"⋰*⋻11⨓⋰*⋻2205=⋰*⋻-2208","layer":2},{"info":"⋰*⋻1602↺⋰*⋻4387=⋰*⋻4387","layer":3},{"info":"⇁⨣⪵⋰*⋻4387=NaN","layer":2},{"info":"⋰*⋻-2208⩨NaN=NaN","layer":1},{"info":"⋰*⋻1907⩨⋰*⋻867=⋰*⋻0","layer":3},{"info":"⋰*⋻124A⊠≄⫣=⋰*⋻0","layer":3},{"info":"⋰*⋻0+⋰*⋻0=⋰*⋻0","layer":2},{"info":"⋰*⋻854⪮%⊝⋰*⋻147A=⋰*⋻1865","layer":3},{"info":"⋰*⋻1463⪢⋰*⋻1308=NaN","layer":3},{"info":"⋰*⋻1865%NaN=NaN","layer":2},{"info":"⋰*⋻0+⇶⊼NaN=NaN","layer":1},{"info":"NaN↺NaN=NaN","layer":0}]}
{"id":620,"expression_no_base_symbol":"($1319$⨰$5827$⫥∨⫟($1329$⨵⪆$1036$))≹⇙⪍($1138$/$2060$⫡⨏$2349$⋥≓≎$1114$)⊘","expression":"(⋰*⋻A9A⨰⋰*⋻4418⫥∨⫟(⋰*⋻AA9⨵⪆⋰*⋻862))≹⇙⪍(⋰*⋻945/⋰*⋻1603⫡⨏⋰*⋻1846⋥≓≎⋰*⋻923)⊘","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":368643,"operation_count":8,"complexity_ratio":46080.375,"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":1319,"base":11},"right_expr":{"type":"numeric_atoms","value":5827,"base":11}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1329,"base":11},"right_expr":{"type":"numeric_atoms","value":1036,"base":11}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1138,"base":11},"right_expr":{"type":"numeric_atoms","value":2060,"base":11}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2349,"base":11},"right_expr":{"type":"numeric_atoms","value":1114,"base":11}}}}},"used_operators":["gu96TGCTMs","AHs5Up7iyr","KYD54nUTWz","eewbuw0ToL","2DQ55sFlQl","QMFrweE19q","XhwjNDsVaA","Qy55tPpLXF"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","dWAJyo7jo9","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1319","layer":4},{"info":"number node, value=5827","layer":4},{"info":"compute binary expreesion, left_input=1319, right_input=5827, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-4498","layer":3},{"info":"number node, value=1329","layer":4},{"info":"number node, value=1036","layer":4},{"info":"compute binary expreesion, left_input=1329, right_input=1036, 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=-4498, right_input=160, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1138","layer":4},{"info":"number node, value=2060","layer":4},{"info":"compute binary expreesion, left_input=1138, right_input=2060, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=2349","layer":4},{"info":"number node, value=1114","layer":4},{"info":"compute binary expreesion, left_input=2349, right_input=1114, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-88","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-88, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=607","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=607, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":11,"result_base":11,"text":"(⋰*⋻A9A⨰⋰*⋻4418⫥∨⫟(⋰*⋻AA9⨵⪆⋰*⋻862))≹⇙⪍(⋰*⋻945/⋰*⋻1603⫡⨏⋰*⋻1846⋥≓≎⋰*⋻923)⊘=NaN","reverse_text":"NaN=(⋰*⋻A9A⨰⋰*⋻4418⫥∨⫟(⋰*⋻AA9⨵⪆⋰*⋻862))≹⇙⪍(⋰*⋻945/⋰*⋻1603⫡⨏⋰*⋻1846⋥≓≎⋰*⋻923)⊘","cot":[{"info":"⋰*⋻A9A⨰⋰*⋻4418=⋰*⋻-341A","layer":3},{"info":"⋰*⋻AA9⨵⪆⋰*⋻862=⋰*⋻136","layer":3},{"info":"⋰*⋻-341A⫥∨⫟⋰*⋻136=NaN","layer":2},{"info":"⋰*⋻945/⋰*⋻1603=⋰*⋻0","layer":3},{"info":"⋰*⋻1846⋥≓≎⋰*⋻923=⋰*⋻-80","layer":3},{"info":"⋰*⋻0⫡⨏⋰*⋻-80=⋰*⋻502","layer":2},{"info":"NaN≹⇙⪍⋰*⋻502=NaN","layer":1},{"info":"NaN⊘=NaN","layer":0}]}
{"id":621,"expression_no_base_symbol":"(($1486$%$2773$)⨟⋌⩍($3028$⪘⫢$4833$)⨎(≉($2831$⨵⪆$7119$)))⩷∴((⊥(⨑⩽⪐$1573$))≦≮≮)","expression":"((⋰*⋻1131%⋰*⋻20A1)⨟⋌⩍(⋰*⋻2303⪘⫢⋰*⋻36A4)⨎(≉(⋰*⋻2144⨵⪆⋰*⋻5392)))⩷∴((⊥(⨑⩽⪐⋰*⋻1200))≦≮≮)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":35,"operation_count":10,"complexity_ratio":3.5,"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":1486,"base":11},"right_expr":{"type":"numeric_atoms","value":2773,"base":11}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3028,"base":11},"right_expr":{"type":"numeric_atoms","value":4833,"base":11}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2831,"base":11},"right_expr":{"type":"numeric_atoms","value":7119,"base":11}}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1573,"base":11}}}}},"used_operators":["9FxExcQeMw","rJVOvQCfKK","rGHVDoGpnC","k8jYdgA6NY","oacrs7FA3X","e1ybzncUwg","2DQ55sFlQl","D4vGDi5EA2","Q3PJZHRvZv","AF7qkfDlqP"],"dependent_operators":["rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","Tcnh7f0tEr","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=1486","layer":4},{"info":"number node, value=2773","layer":4},{"info":"compute binary expreesion, left_input=1486, right_input=2773, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1486","layer":3},{"info":"number node, value=3028","layer":4},{"info":"number node, value=4833","layer":4},{"info":"compute binary expreesion, left_input=3028, right_input=4833, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5932","layer":3},{"info":"compute binary expreesion, left_input=1486, right_input=5932, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=2831","layer":4},{"info":"number node, value=7119","layer":4},{"info":"compute binary expreesion, left_input=2831, right_input=7119, 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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=691","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=691, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=691","layer":1},{"info":"number node, value=1573","layer":4},{"info":"compute unary expreesion, input=1573, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1300","layer":3},{"info":"compute unary expreesion, input=-1300, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=691, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1131%⋰*⋻20A1)⨟⋌⩍(⋰*⋻2303⪘⫢⋰*⋻36A4)⨎(≉(⋰*⋻2144⨵⪆⋰*⋻5392)))⩷∴((⊥(⨑⩽⪐⋰*⋻1200))≦≮≮)=NaN","reverse_text":"NaN=((⋰*⋻1131%⋰*⋻20A1)⨟⋌⩍(⋰*⋻2303⪘⫢⋰*⋻36A4)⨎(≉(⋰*⋻2144⨵⪆⋰*⋻5392)))⩷∴((⊥(⨑⩽⪐⋰*⋻1200))≦≮≮)","cot":[{"info":"⋰*⋻1131%⋰*⋻20A1=⋰*⋻1131","layer":3},{"info":"⋰*⋻2303⪘⫢⋰*⋻36A4=⋰*⋻4503","layer":3},{"info":"⋰*⋻1131⨟⋌⩍⋰*⋻4503=NaN","layer":2},{"info":"⋰*⋻2144⨵⪆⋰*⋻5392=⋰*⋻136","layer":3},{"info":"≉⋰*⋻136=⋰*⋻579","layer":2},{"info":"NaN⨎⋰*⋻579=⋰*⋻579","layer":1},{"info":"⨑⩽⪐⋰*⋻1200=⋰*⋻-A82","layer":3},{"info":"⊥⋰*⋻-A82=NaN","layer":2},{"info":"NaN≦≮≮=NaN","layer":1},{"info":"⋰*⋻579⩷∴NaN=NaN","layer":0}]}
{"id":622,"expression_no_base_symbol":"≤/($1331$⇼⇔∾$1223$⨵⪆$1187$⊴$4490$⫡⨏($2534$*$2395$)⪛($1134$∀⇚≩$4599$))","expression":"≤/(⋰*⋻1000⇼⇔∾⋰*⋻A12⨵⪆⋰*⋻98A⊴⋰*⋻3412⫡⨏(⋰*⋻19A4*⋰*⋻1888)⪛(⋰*⋻941∀⇚≩⋰*⋻3501))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":14844,"operation_count":8,"complexity_ratio":1855.5,"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":1331,"base":11},"right_expr":{"type":"numeric_atoms","value":1223,"base":11}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1187,"base":11},"right_expr":{"type":"numeric_atoms","value":4490,"base":11}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2534,"base":11},"right_expr":{"type":"numeric_atoms","value":2395,"base":11}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1134,"base":11},"right_expr":{"type":"numeric_atoms","value":4599,"base":11}}}}},"used_operators":["eLAdDNolq6","QMFrweE19q","2DQ55sFlQl","tifHPKVTfV","Nsiff2A1zJ","uFcxV4UQCh","9HNa5Wba9A","LRNGc0VcxI"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1331","layer":4},{"info":"number node, value=1223","layer":4},{"info":"compute binary expreesion, left_input=1331, right_input=1223, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-108","layer":3},{"info":"number node, value=1187","layer":4},{"info":"number node, value=4490","layer":4},{"info":"compute binary expreesion, left_input=1187, right_input=4490, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-108, 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=2534","layer":4},{"info":"number node, value=2395","layer":4},{"info":"compute binary expreesion, left_input=2534, right_input=2395, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=6068930","layer":3},{"info":"number node, value=1134","layer":4},{"info":"number node, value=4599","layer":4},{"info":"compute binary expreesion, left_input=1134, right_input=4599, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=6068930, 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=160, 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 = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"≤/(⋰*⋻1000⇼⇔∾⋰*⋻A12⨵⪆⋰*⋻98A⊴⋰*⋻3412⫡⨏(⋰*⋻19A4*⋰*⋻1888)⪛(⋰*⋻941∀⇚≩⋰*⋻3501))=NaN","reverse_text":"NaN=≤/(⋰*⋻1000⇼⇔∾⋰*⋻A12⨵⪆⋰*⋻98A⊴⋰*⋻3412⫡⨏(⋰*⋻19A4*⋰*⋻1888)⪛(⋰*⋻941∀⇚≩⋰*⋻3501))","cot":[{"info":"⋰*⋻1000⇼⇔∾⋰*⋻A12=⋰*⋻-99","layer":3},{"info":"⋰*⋻98A⊴⋰*⋻3412=NaN","layer":3},{"info":"⋰*⋻-99⨵⪆NaN=⋰*⋻136","layer":2},{"info":"⋰*⋻19A4*⋰*⋻1888=⋰*⋻347574A","layer":3},{"info":"⋰*⋻941∀⇚≩⋰*⋻3501=NaN","layer":3},{"info":"⋰*⋻347574A⪛NaN=NaN","layer":2},{"info":"⋰*⋻136⫡⨏NaN=NaN","layer":1},{"info":"≤/NaN=NaN","layer":0}]}
{"id":623,"expression_no_base_symbol":"($1071$⪢$1046$⨐⩸⫘($1197$⪄$3277$)⪨≂($2131$↬$2603$)⨪↰⇹(⫓⪴$2536$))⪄($4028$⊉≛↸$2794$)⋓($4076$⫩⊇)⋳⪒(($1744$⫡⨏$9432$)⨎$1039$⨰$2229$)","expression":"(⋰*⋻894⪢⋰*⋻871⨐⩸⫘(⋰*⋻999⪄⋰*⋻250A)⪨≂(⋰*⋻1668↬⋰*⋻1A57)⨪↰⇹(⫓⪴⋰*⋻19A6))⪄(⋰*⋻3032⊉≛↸⋰*⋻2110)⋓(⋰*⋻3076⫩⊇)⋳⪒((⋰*⋻1346⫡⨏⋰*⋻70A5)⨎⋰*⋻865⨰⋰*⋻1747)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3836,"operation_count":15,"complexity_ratio":255.73333333333332,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1071,"base":11},"right_expr":{"type":"numeric_atoms","value":1046,"base":11}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1197,"base":11},"right_expr":{"type":"numeric_atoms","value":3277,"base":11}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2131,"base":11},"right_expr":{"type":"numeric_atoms","value":2603,"base":11}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2536,"base":11}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4028,"base":11},"right_expr":{"type":"numeric_atoms","value":2794,"base":11}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":4076,"base":11}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1744,"base":11},"right_expr":{"type":"numeric_atoms","value":9432,"base":11}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1039,"base":11},"right_expr":{"type":"numeric_atoms","value":2229,"base":11}}}}},"used_operators":["SUmda5xLS4","sdazOOVcIp","fu6greOZ01","dWAJyo7jo9","tmPS8pqC7x","B5M0gjZbta","eLxqMNBOBk","12rbrZMWeM","T2fj7uvVaJ","DZ8iAZOCBD","BjRHVeLaeN","rJVOvQCfKK","QMFrweE19q","eewbuw0ToL"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","k8jYdgA6NY","rJVOvQCfKK","rGHVDoGpnC","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻2A98","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1071","layer":4},{"info":"number node, value=1046","layer":4},{"info":"compute binary expreesion, left_input=1071, right_input=1046, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1197","layer":4},{"info":"number node, value=3277","layer":4},{"info":"compute binary expreesion, left_input=1197, right_input=3277, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-186353","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-186353, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=2131","layer":4},{"info":"number node, value=2603","layer":4},{"info":"compute binary expreesion, left_input=2131, right_input=2603, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=2536","layer":4},{"info":"compute unary expreesion, input=2536, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=6431296","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6431296, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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 = 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=4028","layer":4},{"info":"number node, value=2794","layer":4},{"info":"compute binary expreesion, left_input=4028, right_input=2794, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=8056","layer":3},{"info":"number node, value=4076","layer":4},{"info":"compute unary expreesion, input=4076, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-4034","layer":3},{"info":"compute binary expreesion, left_input=8056, right_input=-4034, op_id = T2fj7uvVaJ binary_op_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=1744","layer":4},{"info":"number node, value=9432","layer":4},{"info":"compute binary expreesion, left_input=1744, right_input=9432, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=28367","layer":3},{"info":"number node, value=1039","layer":4},{"info":"number node, value=2229","layer":4},{"info":"compute binary expreesion, left_input=1039, right_input=2229, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1180","layer":3},{"info":"compute binary expreesion, left_input=28367, right_input=-1180, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-1180","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-1180, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=893","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=893, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻894⪢⋰*⋻871⨐⩸⫘(⋰*⋻999⪄⋰*⋻250A)⪨≂(⋰*⋻1668↬⋰*⋻1A57)⨪↰⇹(⫓⪴⋰*⋻19A6))⪄(⋰*⋻3032⊉≛↸⋰*⋻2110)⋓(⋰*⋻3076⫩⊇)⋳⪒((⋰*⋻1346⫡⨏⋰*⋻70A5)⨎⋰*⋻865⨰⋰*⋻1747)=⋰*⋻2A98","reverse_text":"⋰*⋻2A98=(⋰*⋻894⪢⋰*⋻871⨐⩸⫘(⋰*⋻999⪄⋰*⋻250A)⪨≂(⋰*⋻1668↬⋰*⋻1A57)⨪↰⇹(⫓⪴⋰*⋻19A6))⪄(⋰*⋻3032⊉≛↸⋰*⋻2110)⋓(⋰*⋻3076⫩⊇)⋳⪒((⋰*⋻1346⫡⨏⋰*⋻70A5)⨎⋰*⋻865⨰⋰*⋻1747)","cot":[{"info":"⋰*⋻894⪢⋰*⋻871=NaN","layer":3},{"info":"⋰*⋻999⪄⋰*⋻250A=⋰*⋻-118012","layer":3},{"info":"NaN⨐⩸⫘⋰*⋻-118012=NaN","layer":2},{"info":"⋰*⋻1668↬⋰*⋻1A57=NaN","layer":3},{"info":"⫓⪴⋰*⋻19A6=⋰*⋻36A2A23","layer":3},{"info":"NaN⨪↰⇹⋰*⋻36A2A23=NaN","layer":2},{"info":"NaN⪨≂NaN=NaN","layer":1},{"info":"⋰*⋻3032⊉≛↸⋰*⋻2110=⋰*⋻6064","layer":3},{"info":"⋰*⋻3076⫩⊇=⋰*⋻-3038","layer":3},{"info":"⋰*⋻6064⋓⋰*⋻-3038=⋰*⋻0","layer":2},{"info":"⋰*⋻1346⫡⨏⋰*⋻70A5=⋰*⋻1A349","layer":3},{"info":"⋰*⋻865⨰⋰*⋻1747=⋰*⋻-983","layer":3},{"info":"⋰*⋻1A349⨎⋰*⋻-983=⋰*⋻-983","layer":2},{"info":"⋰*⋻0⋳⪒⋰*⋻-983=⋰*⋻742","layer":1},{"info":"NaN⪄⋰*⋻742=⋰*⋻2A98","layer":0}]}
{"id":624,"expression_no_base_symbol":"(($7376$⋳⪒$1167$⊘)-(⨵≀≌$2929$∀⇚≩$1946$))≧⫂∧(⨵≀≌((∂$3102$)⨸⪁(≤/$6790$)))","expression":"((⋰*⋻55A6⋳⪒⋰*⋻971⊘)-(⨵≀≌⋰*⋻2223∀⇚≩⋰*⋻150A))≧⫂∧(⨵≀≌((∂⋰*⋻2370)⨸⪁(≤/⋰*⋻5113)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":20542,"operation_count":10,"complexity_ratio":2054.2,"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":7376,"base":11},"right_expr":{"type":"numeric_atoms","value":1167,"base":11}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2929,"base":11},"right_expr":{"type":"numeric_atoms","value":1946,"base":11}}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":3102,"base":11}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":6790,"base":11}}}}},"used_operators":["Ph9nP6C5qx","rysDP5nf3Z","gu96TGCTMs","12rbrZMWeM","srAu1WTS94","LRNGc0VcxI","g55IO6H4Gj","Uaa54Peajs","eLAdDNolq6"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","X99M06cbEe","W4YGzv6Whe","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7376","layer":4},{"info":"number node, value=1167","layer":4},{"info":"compute binary expreesion, left_input=7376, right_input=1167, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=13298","layer":3},{"info":"compute unary expreesion, input=13298, 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=2929","layer":4},{"info":"number node, value=1946","layer":4},{"info":"compute binary expreesion, left_input=2929, right_input=1946, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = 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=0, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=3102","layer":4},{"info":"compute unary expreesion, input=3102, 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=6790","layer":4},{"info":"compute unary expreesion, input=6790, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-6306","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6306, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+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":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻55A6⋳⪒⋰*⋻971⊘)-(⨵≀≌⋰*⋻2223∀⇚≩⋰*⋻150A))≧⫂∧(⨵≀≌((∂⋰*⋻2370)⨸⪁(≤/⋰*⋻5113)))=NaN","reverse_text":"NaN=((⋰*⋻55A6⋳⪒⋰*⋻971⊘)-(⨵≀≌⋰*⋻2223∀⇚≩⋰*⋻150A))≧⫂∧(⨵≀≌((∂⋰*⋻2370)⨸⪁(≤/⋰*⋻5113)))","cot":[{"info":"⋰*⋻55A6⋳⪒⋰*⋻971=⋰*⋻9A9A","layer":3},{"info":"⋰*⋻9A9A⊘=⋰*⋻0","layer":2},{"info":"⋰*⋻2223∀⇚≩⋰*⋻150A=NaN","layer":3},{"info":"⨵≀≌NaN=NaN","layer":2},{"info":"⋰*⋻0-NaN=NaN","layer":1},{"info":"∂⋰*⋻2370=NaN","layer":3},{"info":"≤/⋰*⋻5113=⋰*⋻-4813","layer":3},{"info":"NaN⨸⪁⋰*⋻-4813=NaN","layer":2},{"info":"⨵≀≌NaN=NaN","layer":1},{"info":"NaN≧⫂∧NaN=NaN","layer":0}]}
{"id":625,"expression_no_base_symbol":"⊥(($4443$⨎$5141$)⪢$1083$⨟⋌⩍$4389$)⨟⋌⩍($2833$⨳⩥⨓$4856$⪨≂$6878$∀⇚≩$1208$)","expression":"⊥((⋰*⋻337A⨎⋰*⋻3954)⪢⋰*⋻8A5⨟⋌⩍⋰*⋻3330)⨟⋌⩍(⋰*⋻2146⨳⩥⨓⋰*⋻3715⪨≂⋰*⋻5193∀⇚≩⋰*⋻9A9)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":48159,"operation_count":8,"complexity_ratio":6019.875,"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":4443,"base":11},"right_expr":{"type":"numeric_atoms","value":5141,"base":11}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1083,"base":11},"right_expr":{"type":"numeric_atoms","value":4389,"base":11}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2833,"base":11},"right_expr":{"type":"numeric_atoms","value":4856,"base":11}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":6878,"base":11},"right_expr":{"type":"numeric_atoms","value":1208,"base":11}}}}},"used_operators":["Q3PJZHRvZv","rGHVDoGpnC","dWAJyo7jo9","rJVOvQCfKK","sdazOOVcIp","nCS4ZIUYfx","LRNGc0VcxI"],"dependent_operators":["fu6greOZ01","Tcnh7f0tEr","k8jYdgA6NY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=4443","layer":4},{"info":"number node, value=5141","layer":4},{"info":"compute binary expreesion, left_input=4443, right_input=5141, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5141","layer":3},{"info":"number node, value=1083","layer":4},{"info":"number node, value=4389","layer":4},{"info":"compute binary expreesion, left_input=1083, right_input=4389, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=5141, 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=2833","layer":4},{"info":"number node, value=4856","layer":4},{"info":"compute binary expreesion, left_input=2833, right_input=4856, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2023","layer":3},{"info":"number node, value=6878","layer":4},{"info":"number node, value=1208","layer":4},{"info":"compute binary expreesion, left_input=6878, right_input=1208, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=2023, 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 = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⊥((⋰*⋻337A⨎⋰*⋻3954)⪢⋰*⋻8A5⨟⋌⩍⋰*⋻3330)⨟⋌⩍(⋰*⋻2146⨳⩥⨓⋰*⋻3715⪨≂⋰*⋻5193∀⇚≩⋰*⋻9A9)=NaN","reverse_text":"NaN=⊥((⋰*⋻337A⨎⋰*⋻3954)⪢⋰*⋻8A5⨟⋌⩍⋰*⋻3330)⨟⋌⩍(⋰*⋻2146⨳⩥⨓⋰*⋻3715⪨≂⋰*⋻5193∀⇚≩⋰*⋻9A9)","cot":[{"info":"⋰*⋻337A⨎⋰*⋻3954=⋰*⋻3954","layer":3},{"info":"⋰*⋻8A5⨟⋌⩍⋰*⋻3330=NaN","layer":3},{"info":"⋰*⋻3954⪢NaN=NaN","layer":2},{"info":"⋰*⋻2146⨳⩥⨓⋰*⋻3715=⋰*⋻157A","layer":3},{"info":"⋰*⋻5193∀⇚≩⋰*⋻9A9=NaN","layer":3},{"info":"⋰*⋻157A⪨≂NaN=NaN","layer":2},{"info":"NaN⨟⋌⩍NaN=NaN","layer":1},{"info":"⊥NaN=NaN","layer":0}]}
{"id":626,"expression_no_base_symbol":"(($1072$⊭↱$1400$⋷$3990$⨓$8113$)⋝⋈⪟($2187$⨎$5563$)⨓($4332$⋷$5669$))⇷(($6682$⋷$8349$)↬($2736$-$1728$)≭($2147$/$3432$)⨰($7994$⋳⪒$3281$))","expression":"((⋰*⋻895⊭↱⋰*⋻1063⋷⋰*⋻2AA8⨓⋰*⋻6106)⋝⋈⪟(⋰*⋻1709⨎⋰*⋻41A8)⨓(⋰*⋻3289⋷⋰*⋻4294))⇷((⋰*⋻5025⋷⋰*⋻6300)↬(⋰*⋻2068-⋰*⋻1331)≭(⋰*⋻1682/⋰*⋻2640)⨰(⋰*⋻6008⋳⪒⋰*⋻2513))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":251675,"operation_count":15,"complexity_ratio":16778.333333333332,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1072,"base":11},"right_expr":{"type":"numeric_atoms","value":1400,"base":11}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3990,"base":11},"right_expr":{"type":"numeric_atoms","value":8113,"base":11}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2187,"base":11},"right_expr":{"type":"numeric_atoms","value":5563,"base":11}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":4332,"base":11},"right_expr":{"type":"numeric_atoms","value":5669,"base":11}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":6682,"base":11},"right_expr":{"type":"numeric_atoms","value":8349,"base":11}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2736,"base":11},"right_expr":{"type":"numeric_atoms","value":1728,"base":11}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2147,"base":11},"right_expr":{"type":"numeric_atoms","value":3432,"base":11}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":7994,"base":11},"right_expr":{"type":"numeric_atoms","value":3281,"base":11}}}}},"used_operators":["mp7IySMOzn","2DDjHMKMc0","23Mk6UjR3U","COABgblf1C","3ViojmjbAp","rJVOvQCfKK","rxpJgHHUmx","B5M0gjZbta","rysDP5nf3Z","eewbuw0ToL","XhwjNDsVaA","12rbrZMWeM"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1072","layer":4},{"info":"number node, value=1400","layer":4},{"info":"compute binary expreesion, left_input=1072, right_input=1400, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=661","layer":3},{"info":"number node, value=3990","layer":4},{"info":"number node, value=8113","layer":4},{"info":"compute binary expreesion, left_input=3990, right_input=8113, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-8116","layer":3},{"info":"compute binary expreesion, left_input=661, right_input=-8116, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-16893","layer":2},{"info":"number node, value=2187","layer":4},{"info":"number node, value=5563","layer":4},{"info":"compute binary expreesion, left_input=2187, right_input=5563, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5563","layer":3},{"info":"number node, value=4332","layer":4},{"info":"number node, value=5669","layer":4},{"info":"compute binary expreesion, left_input=4332, right_input=5669, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=7006","layer":3},{"info":"compute binary expreesion, left_input=5563, right_input=7006, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-7009","layer":2},{"info":"compute binary expreesion, left_input=-16893, right_input=-7009, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-16893","layer":1},{"info":"number node, value=6682","layer":4},{"info":"number node, value=8349","layer":4},{"info":"compute binary expreesion, left_input=6682, right_input=8349, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=10016","layer":3},{"info":"number node, value=2736","layer":4},{"info":"number node, value=1728","layer":4},{"info":"compute binary expreesion, left_input=2736, right_input=1728, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1008","layer":3},{"info":"compute binary expreesion, left_input=10016, right_input=1008, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=2147","layer":4},{"info":"number node, value=3432","layer":4},{"info":"compute binary expreesion, left_input=2147, right_input=3432, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=7994","layer":4},{"info":"number node, value=3281","layer":4},{"info":"compute binary expreesion, left_input=7994, right_input=3281, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=12420","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=12420, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-12410","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-12410, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=-16893, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻895⊭↱⋰*⋻1063⋷⋰*⋻2AA8⨓⋰*⋻6106)⋝⋈⪟(⋰*⋻1709⨎⋰*⋻41A8)⨓(⋰*⋻3289⋷⋰*⋻4294))⇷((⋰*⋻5025⋷⋰*⋻6300)↬(⋰*⋻2068-⋰*⋻1331)≭(⋰*⋻1682/⋰*⋻2640)⨰(⋰*⋻6008⋳⪒⋰*⋻2513))=NaN","reverse_text":"NaN=((⋰*⋻895⊭↱⋰*⋻1063⋷⋰*⋻2AA8⨓⋰*⋻6106)⋝⋈⪟(⋰*⋻1709⨎⋰*⋻41A8)⨓(⋰*⋻3289⋷⋰*⋻4294))⇷((⋰*⋻5025⋷⋰*⋻6300)↬(⋰*⋻2068-⋰*⋻1331)≭(⋰*⋻1682/⋰*⋻2640)⨰(⋰*⋻6008⋳⪒⋰*⋻2513))","cot":[{"info":"⋰*⋻895⊭↱⋰*⋻1063=⋰*⋻551","layer":3},{"info":"⋰*⋻2AA8⨓⋰*⋻6106=⋰*⋻-6109","layer":3},{"info":"⋰*⋻551⋷⋰*⋻-6109=⋰*⋻-11768","layer":2},{"info":"⋰*⋻1709⨎⋰*⋻41A8=⋰*⋻41A8","layer":3},{"info":"⋰*⋻3289⋷⋰*⋻4294=⋰*⋻529A","layer":3},{"info":"⋰*⋻41A8⨓⋰*⋻529A=⋰*⋻-52A2","layer":2},{"info":"⋰*⋻-11768⋝⋈⪟⋰*⋻-52A2=⋰*⋻-11768","layer":1},{"info":"⋰*⋻5025⋷⋰*⋻6300=⋰*⋻7586","layer":3},{"info":"⋰*⋻2068-⋰*⋻1331=⋰*⋻837","layer":3},{"info":"⋰*⋻7586↬⋰*⋻837=NaN","layer":2},{"info":"⋰*⋻1682/⋰*⋻2640=⋰*⋻0","layer":3},{"info":"⋰*⋻6008⋳⪒⋰*⋻2513=⋰*⋻9371","layer":3},{"info":"⋰*⋻0⨰⋰*⋻9371=⋰*⋻-9362","layer":2},{"info":"NaN≭⋰*⋻-9362=NaN","layer":1},{"info":"⋰*⋻-11768⇷NaN=NaN","layer":0}]}
{"id":627,"expression_no_base_symbol":"(($4025$⪒$5090$)≭$2300$↬$6928$)⋓(($2500$↙$2448$)⨰($7256$⫸⊐$5963$))*((≉$7500$)+$2431$∑⇟⊟$7970$⫡⨏(⫓⪴($2525$⇋≉)))","expression":"((⋰*⋻302A⪒⋰*⋻3908)≭⋰*⋻1801↬⋰*⋻5229)⋓((⋰*⋻1973↙⋰*⋻1926)⨰(⋰*⋻54A7⫸⊐⋰*⋻4531))*((≉⋰*⋻56A9)+⋰*⋻1910∑⇟⊟⋰*⋻5A96⫡⨏(⫓⪴(⋰*⋻1996⇋≉)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7466,"operation_count":14,"complexity_ratio":533.2857142857143,"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":4025,"base":11},"right_expr":{"type":"numeric_atoms","value":5090,"base":11}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2300,"base":11},"right_expr":{"type":"numeric_atoms","value":6928,"base":11}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2500,"base":11},"right_expr":{"type":"numeric_atoms","value":2448,"base":11}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":7256,"base":11},"right_expr":{"type":"numeric_atoms","value":5963,"base":11}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":7500,"base":11}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2431,"base":11},"right_expr":{"type":"numeric_atoms","value":7970,"base":11}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":2525,"base":11}}}}},"used_operators":["9HNa5Wba9A","T2fj7uvVaJ","rxpJgHHUmx","f6k1SAg4EE","B5M0gjZbta","eewbuw0ToL","yyfyN0ffXY","mqXw5SEYmG","QMFrweE19q","W4YGzv6Whe","e1ybzncUwg","U7g4x0WXJJ","eLxqMNBOBk","XIabStNQrY"],"dependent_operators":["W4YGzv6Whe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4025","layer":4},{"info":"number node, value=5090","layer":4},{"info":"compute binary expreesion, left_input=4025, right_input=5090, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-9115","layer":3},{"info":"number node, value=2300","layer":4},{"info":"number node, value=6928","layer":4},{"info":"compute binary expreesion, left_input=2300, right_input=6928, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=-9115, 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=2500","layer":4},{"info":"number node, value=2448","layer":4},{"info":"compute binary expreesion, left_input=2500, right_input=2448, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-7344","layer":3},{"info":"number node, value=7256","layer":4},{"info":"number node, value=5963","layer":4},{"info":"compute binary expreesion, left_input=7256, right_input=5963, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=23727","layer":3},{"info":"compute binary expreesion, left_input=-7344, right_input=23727, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-31061","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-31061, op_id = T2fj7uvVaJ binary_op_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=7500","layer":4},{"info":"compute unary expreesion, input=7500, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=8031","layer":3},{"info":"number node, value=2431","layer":4},{"info":"number node, value=7970","layer":4},{"info":"compute binary expreesion, left_input=2431, right_input=7970, 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=8031, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=2525","layer":4},{"info":"compute unary expreesion, input=2525, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=4952","layer":3},{"info":"compute unary expreesion, input=4952, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=24522304","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=24522304, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻302A⪒⋰*⋻3908)≭⋰*⋻1801↬⋰*⋻5229)⋓((⋰*⋻1973↙⋰*⋻1926)⨰(⋰*⋻54A7⫸⊐⋰*⋻4531))*((≉⋰*⋻56A9)+⋰*⋻1910∑⇟⊟⋰*⋻5A96⫡⨏(⫓⪴(⋰*⋻1996⇋≉)))=NaN","reverse_text":"NaN=((⋰*⋻302A⪒⋰*⋻3908)≭⋰*⋻1801↬⋰*⋻5229)⋓((⋰*⋻1973↙⋰*⋻1926)⨰(⋰*⋻54A7⫸⊐⋰*⋻4531))*((≉⋰*⋻56A9)+⋰*⋻1910∑⇟⊟⋰*⋻5A96⫡⨏(⫓⪴(⋰*⋻1996⇋≉)))","cot":[{"info":"⋰*⋻302A⪒⋰*⋻3908=⋰*⋻-6937","layer":3},{"info":"⋰*⋻1801↬⋰*⋻5229=NaN","layer":3},{"info":"⋰*⋻-6937≭NaN=NaN","layer":2},{"info":"⋰*⋻1973↙⋰*⋻1926=⋰*⋻-5577","layer":3},{"info":"⋰*⋻54A7⫸⊐⋰*⋻4531=⋰*⋻16910","layer":3},{"info":"⋰*⋻-5577⨰⋰*⋻16910=⋰*⋻-21378","layer":2},{"info":"NaN⋓⋰*⋻-21378=⋰*⋻0","layer":1},{"info":"≉⋰*⋻56A9=⋰*⋻6041","layer":3},{"info":"⋰*⋻1910∑⇟⊟⋰*⋻5A96=NaN","layer":3},{"info":"⋰*⋻6041+NaN=NaN","layer":2},{"info":"⋰*⋻1996⇋≉=⋰*⋻37A2","layer":3},{"info":"⫓⪴⋰*⋻37A2=⋰*⋻12929A74","layer":2},{"info":"NaN⫡⨏⋰*⋻12929A74=NaN","layer":1},{"info":"⋰*⋻0*NaN=NaN","layer":0}]}
{"id":628,"expression_no_base_symbol":"⨰⫟⨤((⪲⇎($3280$⪨≂$1377$))⊠≄⫣)","expression":"⨰⫟⨤((⪲⇎(⋰*⋻2512⪨≂⋰*⋻1042))⊠≄⫣)","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":904,"operation_count":4,"complexity_ratio":226.0,"tree":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3280,"base":11},"right_expr":{"type":"numeric_atoms","value":1377,"base":11}}}}},"used_operators":["Tw270M8GLb","DIvbN7qnHd","XPYlsWDdGa","sdazOOVcIp"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⋰*⋻2599449","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3280","layer":4},{"info":"number node, value=1377","layer":4},{"info":"compute binary expreesion, left_input=3280, right_input=1377, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=3908","layer":3},{"info":"compute unary expreesion, input=3908, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=7816","layer":2},{"info":"compute unary expreesion, input=7816, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', 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":11,"result_base":11,"text":"⨰⫟⨤((⪲⇎(⋰*⋻2512⪨≂⋰*⋻1042))⊠≄⫣)=⋰*⋻2599449","reverse_text":"⋰*⋻2599449=⨰⫟⨤((⪲⇎(⋰*⋻2512⪨≂⋰*⋻1042))⊠≄⫣)","cot":[{"info":"⋰*⋻2512⪨≂⋰*⋻1042=⋰*⋻2A33","layer":3},{"info":"⪲⇎⋰*⋻2A33=⋰*⋻5966","layer":2},{"info":"⋰*⋻5966⊠≄⫣=⋰*⋻0","layer":1},{"info":"⨰⫟⨤⋰*⋻0=⋰*⋻2599449","layer":0}]}
{"id":629,"expression_no_base_symbol":"(⇁⨣⪵($4396$⊭↱$1486$))≧⫂∧((-$1231$)⋝⋈⪟($1170$⪐))⪐","expression":"(⇁⨣⪵(⋰*⋻3337⊭↱⋰*⋻1131))≧⫂∧((-⋰*⋻A1A)⋝⋈⪟(⋰*⋻974⪐))⪐","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":17,"operation_count":7,"complexity_ratio":2.4285714285714284,"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":4396,"base":11},"right_expr":{"type":"numeric_atoms","value":1486,"base":11}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1231,"base":11}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1170,"base":11}}}}},"used_operators":["eH2TOUuTDT","Ph9nP6C5qx","inkyxCbjAn","COABgblf1C","2DDjHMKMc0","t8gj7n24qd"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4396","layer":4},{"info":"number node, value=1486","layer":4},{"info":"compute binary expreesion, left_input=4396, right_input=1486, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-5815","layer":3},{"info":"compute unary expreesion, input=-5815, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"number node, value=1231","layer":4},{"info":"compute unary expreesion, input=1231, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1231","layer":3},{"info":"number node, value=1170","layer":4},{"info":"compute unary expreesion, input=1170, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2340","layer":3},{"info":"compute binary expreesion, left_input=-1231, right_input=2340, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-1231","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1231, 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 = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⇁⨣⪵(⋰*⋻3337⊭↱⋰*⋻1131))≧⫂∧((-⋰*⋻A1A)⋝⋈⪟(⋰*⋻974⪐))⪐=NaN","reverse_text":"NaN=(⇁⨣⪵(⋰*⋻3337⊭↱⋰*⋻1131))≧⫂∧((-⋰*⋻A1A)⋝⋈⪟(⋰*⋻974⪐))⪐","cot":[{"info":"⋰*⋻3337⊭↱⋰*⋻1131=⋰*⋻-4407","layer":3},{"info":"⇁⨣⪵⋰*⋻-4407=NaN","layer":2},{"info":"-⋰*⋻A1A=⋰*⋻-A1A","layer":3},{"info":"⋰*⋻974⪐=⋰*⋻1838","layer":3},{"info":"⋰*⋻-A1A⋝⋈⪟⋰*⋻1838=⋰*⋻-A1A","layer":2},{"info":"NaN≧⫂∧⋰*⋻-A1A=NaN","layer":1},{"info":"NaN⪐=NaN","layer":0}]}
{"id":630,"expression_no_base_symbol":"((($1141$⪐)⊪)⨽($1393$≎⊠⪸$4541$⨳⩥⨓(↥$4342$)))⪠⩆⊳","expression":"(((⋰*⋻948⪐)⊪)⨽(⋰*⋻1057≎⊠⪸⋰*⋻3459⨳⩥⨓(↥⋰*⋻3298)))⪠⩆⊳","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":409,"operation_count":7,"complexity_ratio":58.42857142857143,"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":1141,"base":11}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1393,"base":11},"right_expr":{"type":"numeric_atoms","value":4541,"base":11}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":4342,"base":11}}}}},"used_operators":["JLbD19bQDL","8HhzD0ZcuI","zVYPLywUTj","eH2TOUuTDT","nCS4ZIUYfx","bJkvcejdHO","A8NUZmVepG"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","k8jYdgA6NY"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1141","layer":4},{"info":"compute unary expreesion, input=1141, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2282","layer":3},{"info":"compute unary expreesion, input=2282, 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=1393","layer":4},{"info":"number node, value=4541","layer":4},{"info":"compute binary expreesion, left_input=1393, right_input=4541, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=360314","layer":3},{"info":"number node, value=4342","layer":4},{"info":"compute unary expreesion, input=4342, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=7","layer":3},{"info":"compute binary expreesion, left_input=360314, right_input=7, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-360307","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-360307, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=1082235","layer":1},{"info":"compute unary expreesion, input=1082235, 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":11,"result_base":11,"text":"(((⋰*⋻948⪐)⊪)⨽(⋰*⋻1057≎⊠⪸⋰*⋻3459⨳⩥⨓(↥⋰*⋻3298)))⪠⩆⊳=⋰*⋻0","reverse_text":"⋰*⋻0=(((⋰*⋻948⪐)⊪)⨽(⋰*⋻1057≎⊠⪸⋰*⋻3459⨳⩥⨓(↥⋰*⋻3298)))⪠⩆⊳","cot":[{"info":"⋰*⋻948⪐=⋰*⋻1795","layer":3},{"info":"⋰*⋻1795⊪=⋰*⋻0","layer":2},{"info":"⋰*⋻1057≎⊠⪸⋰*⋻3459=⋰*⋻226789","layer":3},{"info":"↥⋰*⋻3298=⋰*⋻7","layer":3},{"info":"⋰*⋻226789⨳⩥⨓⋰*⋻7=⋰*⋻-226782","layer":2},{"info":"⋰*⋻0⨽⋰*⋻-226782=⋰*⋻67A110","layer":1},{"info":"⋰*⋻67A110⪠⩆⊳=⋰*⋻0","layer":0}]}
{"id":631,"expression_no_base_symbol":"(((⨞⊢$3936$)⪐)∧)⪒($7255$+$8045$⫡⨏$1614$⨟⋌⩍$1258$)∲⫓($2919$⋷$1918$)∀⇚≩($3218$↛⩡⫤)","expression":"(((⨞⊢⋰*⋻2A59)⪐)∧)⪒(⋰*⋻54A6+⋰*⋻6054⫡⨏⋰*⋻1238⨟⋌⩍⋰*⋻A44)∲⫓(⋰*⋻2214⋷⋰*⋻1494)∀⇚≩(⋰*⋻2466↛⩡⫤)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":16236,"operation_count":11,"complexity_ratio":1476.0,"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":3936,"base":11}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":7255,"base":11},"right_expr":{"type":"numeric_atoms","value":8045,"base":11}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1614,"base":11},"right_expr":{"type":"numeric_atoms","value":1258,"base":11}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2919,"base":11},"right_expr":{"type":"numeric_atoms","value":1918,"base":11}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":3218,"base":11}}}}},"used_operators":["f6k1SAg4EE","z63VuFQld9","eH2TOUuTDT","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","W4YGzv6Whe","rGHVDoGpnC","LRNGc0VcxI","23Mk6UjR3U","FU0Cs4j7VP"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3936","layer":4},{"info":"compute unary expreesion, input=3936, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-4110","layer":3},{"info":"compute unary expreesion, input=-4110, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=-8220","layer":2},{"info":"compute unary expreesion, input=-8220, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=0","layer":1},{"info":"number node, value=7255","layer":4},{"info":"number node, value=8045","layer":4},{"info":"compute binary expreesion, left_input=7255, right_input=8045, op_id = W4YGzv6Whe binary_op_definition= 'None', output=15300","layer":3},{"info":"number node, value=1614","layer":4},{"info":"number node, value=1258","layer":4},{"info":"compute binary expreesion, left_input=1614, right_input=1258, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=15300, 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=2919","layer":4},{"info":"number node, value=1918","layer":4},{"info":"compute binary expreesion, left_input=2919, right_input=1918, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=917","layer":3},{"info":"number node, value=3218","layer":4},{"info":"compute unary expreesion, input=3218, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-482007","layer":3},{"info":"compute binary expreesion, left_input=917, right_input=-482007, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((⨞⊢⋰*⋻2A59)⪐)∧)⪒(⋰*⋻54A6+⋰*⋻6054⫡⨏⋰*⋻1238⨟⋌⩍⋰*⋻A44)∲⫓(⋰*⋻2214⋷⋰*⋻1494)∀⇚≩(⋰*⋻2466↛⩡⫤)=NaN","reverse_text":"NaN=(((⨞⊢⋰*⋻2A59)⪐)∧)⪒(⋰*⋻54A6+⋰*⋻6054⫡⨏⋰*⋻1238⨟⋌⩍⋰*⋻A44)∲⫓(⋰*⋻2214⋷⋰*⋻1494)∀⇚≩(⋰*⋻2466↛⩡⫤)","cot":[{"info":"⨞⊢⋰*⋻2A59=⋰*⋻-30A7","layer":3},{"info":"⋰*⋻-30A7⪐=⋰*⋻-61A3","layer":2},{"info":"⋰*⋻-61A3∧=⋰*⋻0","layer":1},{"info":"⋰*⋻54A6+⋰*⋻6054=⋰*⋻1054A","layer":3},{"info":"⋰*⋻1238⨟⋌⩍⋰*⋻A44=NaN","layer":3},{"info":"⋰*⋻1054A⫡⨏NaN=NaN","layer":2},{"info":"⋰*⋻2214⋷⋰*⋻1494=⋰*⋻764","layer":3},{"info":"⋰*⋻2466↛⩡⫤=⋰*⋻-2AA159","layer":3},{"info":"⋰*⋻764∀⇚≩⋰*⋻-2AA159=NaN","layer":2},{"info":"NaN∲⫓NaN=NaN","layer":1},{"info":"⋰*⋻0⪒NaN=NaN","layer":0}]}
{"id":632,"expression_no_base_symbol":"(($1550$⨪↰⇹$5443$)⊴(-$4360$)⊉≛↸((≤/$1116$)⊦⊿))⊭∹↮","expression":"((⋰*⋻118A⨪↰⇹⋰*⋻40A9)⊴(-⋰*⋻3304)⊉≛↸((≤/⋰*⋻925)⊦⊿))⊭∹↮","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":5932,"operation_count":7,"complexity_ratio":847.4285714285714,"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":1550,"base":11},"right_expr":{"type":"numeric_atoms","value":5443,"base":11}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":4360,"base":11}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1116,"base":11}}}}},"used_operators":["xNBdhnnwKq","DZ8iAZOCBD","Nsiff2A1zJ","tmPS8pqC7x","t8gj7n24qd","14qkJME0vr","eLAdDNolq6"],"dependent_operators":["2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1550","layer":4},{"info":"number node, value=5443","layer":4},{"info":"compute binary expreesion, left_input=1550, right_input=5443, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1550","layer":3},{"info":"number node, value=4360","layer":4},{"info":"compute unary expreesion, input=4360, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-4360","layer":3},{"info":"compute binary expreesion, left_input=1550, right_input=-4360, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"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":"compute unary expreesion, input=-632, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=1817","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1817, 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 = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻118A⨪↰⇹⋰*⋻40A9)⊴(-⋰*⋻3304)⊉≛↸((≤/⋰*⋻925)⊦⊿))⊭∹↮=NaN","reverse_text":"NaN=((⋰*⋻118A⨪↰⇹⋰*⋻40A9)⊴(-⋰*⋻3304)⊉≛↸((≤/⋰*⋻925)⊦⊿))⊭∹↮","cot":[{"info":"⋰*⋻118A⨪↰⇹⋰*⋻40A9=⋰*⋻118A","layer":3},{"info":"-⋰*⋻3304=⋰*⋻-3304","layer":3},{"info":"⋰*⋻118A⊴⋰*⋻-3304=NaN","layer":2},{"info":"≤/⋰*⋻925=⋰*⋻-525","layer":3},{"info":"⋰*⋻-525⊦⊿=⋰*⋻1402","layer":2},{"info":"NaN⊉≛↸⋰*⋻1402=NaN","layer":1},{"info":"NaN⊭∹↮=NaN","layer":0}]}
{"id":633,"expression_no_base_symbol":"⨑⩽⪐(≤/$3583$⪄$1280$)⫥∨⫟(⇁⨣⪵$3711$∼$1067$)","expression":"⨑⩽⪐(≤/⋰*⋻2768⪄⋰*⋻A64)⫥∨⫟(⇁⨣⪵⋰*⋻2874∼⋰*⋻890)","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":332,"operation_count":6,"complexity_ratio":55.333333333333336,"tree":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3583,"base":11},"right_expr":{"type":"numeric_atoms","value":1280,"base":11}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3711,"base":11},"right_expr":{"type":"numeric_atoms","value":1067,"base":11}}}}},"used_operators":["AF7qkfDlqP","KYD54nUTWz","eLAdDNolq6","SUmda5xLS4","inkyxCbjAn","DyGG3AbaNP"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","B5M0gjZbta","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3583","layer":4},{"info":"number node, value=1280","layer":4},{"info":"compute binary expreesion, left_input=3583, right_input=1280, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-531493","layer":3},{"info":"compute unary expreesion, input=-531493, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=531977","layer":2},{"info":"number node, value=3711","layer":4},{"info":"number node, value=1067","layer":4},{"info":"compute binary expreesion, left_input=3711, right_input=1067, 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 = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=531977, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⨑⩽⪐(≤/⋰*⋻2768⪄⋰*⋻A64)⫥∨⫟(⇁⨣⪵⋰*⋻2874∼⋰*⋻890)=NaN","reverse_text":"NaN=⨑⩽⪐(≤/⋰*⋻2768⪄⋰*⋻A64)⫥∨⫟(⇁⨣⪵⋰*⋻2874∼⋰*⋻890)","cot":[{"info":"⋰*⋻2768⪄⋰*⋻A64=⋰*⋻-333356","layer":3},{"info":"≤/⋰*⋻-333356=⋰*⋻333756","layer":2},{"info":"⋰*⋻2874∼⋰*⋻890=NaN","layer":3},{"info":"⇁⨣⪵NaN=NaN","layer":2},{"info":"⋰*⋻333756⫥∨⫟NaN=NaN","layer":1},{"info":"⨑⩽⪐NaN=NaN","layer":0}]}
{"id":634,"expression_no_base_symbol":"(($1720$⪒$6375$)⨐⩸⫘($1729$↙$1087$)⫡⨏(⊄⩳↩$4186$)∀⇚≩($1246$⪠⩆⊳))⊴(($6640$⨁⊸⫻)⪮%⊝($8021$⨓$2726$)≭($1099$⩤)⇷($5611$⊘))","expression":"((⋰*⋻1324⪒⋰*⋻4876)⨐⩸⫘(⋰*⋻1332↙⋰*⋻8A9)⫡⨏(⊄⩳↩⋰*⋻3166)∀⇚≩(⋰*⋻A33⪠⩆⊳))⊴((⋰*⋻4A97⨁⊸⫻)⪮%⊝(⋰*⋻6032⨓⋰*⋻2059)≭(⋰*⋻90A⩤)⇷(⋰*⋻4241⊘))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":107199,"operation_count":15,"complexity_ratio":7146.6,"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":1720,"base":11},"right_expr":{"type":"numeric_atoms","value":6375,"base":11}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1729,"base":11},"right_expr":{"type":"numeric_atoms","value":1087,"base":11}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":4186,"base":11}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1246,"base":11}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":6640,"base":11}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":8021,"base":11},"right_expr":{"type":"numeric_atoms","value":2726,"base":11}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1099,"base":11}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":5611,"base":11}}}}},"used_operators":["Nsiff2A1zJ","QMFrweE19q","fu6greOZ01","f6k1SAg4EE","yyfyN0ffXY","LRNGc0VcxI","8w2t5hMYqp","JLbD19bQDL","rxpJgHHUmx","IWmyXbctLI","glklzrTFfD","3ViojmjbAp","mp7IySMOzn","Z2TMIBDE3Q","gu96TGCTMs"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1720","layer":4},{"info":"number node, value=6375","layer":4},{"info":"compute binary expreesion, left_input=1720, right_input=6375, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8095","layer":3},{"info":"number node, value=1729","layer":4},{"info":"number node, value=1087","layer":4},{"info":"compute binary expreesion, left_input=1729, right_input=1087, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3261","layer":3},{"info":"compute binary expreesion, left_input=-8095, right_input=-3261, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=4186","layer":4},{"info":"compute unary expreesion, input=4186, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-12558","layer":3},{"info":"number node, value=1246","layer":4},{"info":"compute unary expreesion, input=1246, 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=-12558, 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 = 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=6640","layer":4},{"info":"compute unary expreesion, input=6640, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=6640","layer":3},{"info":"number node, value=8021","layer":4},{"info":"number node, value=2726","layer":4},{"info":"compute binary expreesion, left_input=8021, right_input=2726, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2729","layer":3},{"info":"compute binary expreesion, left_input=6640, right_input=-2729, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=13596","layer":2},{"info":"number node, value=1099","layer":4},{"info":"compute unary expreesion, input=1099, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1099","layer":3},{"info":"number node, value=5611","layer":4},{"info":"compute unary expreesion, input=5611, 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=-1099, right_input=0, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=13596, right_input=0, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=-22","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-22, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1324⪒⋰*⋻4876)⨐⩸⫘(⋰*⋻1332↙⋰*⋻8A9)⫡⨏(⊄⩳↩⋰*⋻3166)∀⇚≩(⋰*⋻A33⪠⩆⊳))⊴((⋰*⋻4A97⨁⊸⫻)⪮%⊝(⋰*⋻6032⨓⋰*⋻2059)≭(⋰*⋻90A⩤)⇷(⋰*⋻4241⊘))=NaN","reverse_text":"NaN=((⋰*⋻1324⪒⋰*⋻4876)⨐⩸⫘(⋰*⋻1332↙⋰*⋻8A9)⫡⨏(⊄⩳↩⋰*⋻3166)∀⇚≩(⋰*⋻A33⪠⩆⊳))⊴((⋰*⋻4A97⨁⊸⫻)⪮%⊝(⋰*⋻6032⨓⋰*⋻2059)≭(⋰*⋻90A⩤)⇷(⋰*⋻4241⊘))","cot":[{"info":"⋰*⋻1324⪒⋰*⋻4876=⋰*⋻-609A","layer":3},{"info":"⋰*⋻1332↙⋰*⋻8A9=⋰*⋻-24A5","layer":3},{"info":"⋰*⋻-609A⨐⩸⫘⋰*⋻-24A5=NaN","layer":2},{"info":"⊄⩳↩⋰*⋻3166=⋰*⋻-9487","layer":3},{"info":"⋰*⋻A33⪠⩆⊳=⋰*⋻0","layer":3},{"info":"⋰*⋻-9487∀⇚≩⋰*⋻0=NaN","layer":2},{"info":"NaN⫡⨏NaN=NaN","layer":1},{"info":"⋰*⋻4A97⨁⊸⫻=⋰*⋻4A97","layer":3},{"info":"⋰*⋻6032⨓⋰*⋻2059=⋰*⋻-2061","layer":3},{"info":"⋰*⋻4A97⪮%⊝⋰*⋻-2061=⋰*⋻A240","layer":2},{"info":"⋰*⋻90A⩤=⋰*⋻-90A","layer":3},{"info":"⋰*⋻4241⊘=⋰*⋻0","layer":3},{"info":"⋰*⋻-90A⇷⋰*⋻0=⋰*⋻0","layer":2},{"info":"⋰*⋻A240≭⋰*⋻0=⋰*⋻-20","layer":1},{"info":"NaN⊴⋰*⋻-20=NaN","layer":0}]}
{"id":635,"expression_no_base_symbol":"(↔$5989$)⋓(⩦⩻⨪$2056$)↺($8298$⨰$1602$⫸⊐$1300$⋳⪒$2749$)⊉≛↸((↽≂$5028$)⇼⇔∾$1606$⪘⫢$1025$⪒((⊄⩳↩$1563$)≫≃))","expression":"(↔⋰*⋻4555)⋓(⩦⩻⨪⋰*⋻15AA)↺(⋰*⋻6264⨰⋰*⋻1227⫸⊐⋰*⋻A82⋳⪒⋰*⋻207A)⊉≛↸((↽≂⋰*⋻3861)⇼⇔∾⋰*⋻1230⪘⫢⋰*⋻852⪒((⊄⩳↩⋰*⋻11A1)≫≃))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":97,"operation_count":14,"complexity_ratio":6.928571428571429,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":5989,"base":11}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2056,"base":11}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":8298,"base":11},"right_expr":{"type":"numeric_atoms","value":1602,"base":11}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1300,"base":11},"right_expr":{"type":"numeric_atoms","value":2749,"base":11}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":5028,"base":11}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1606,"base":11},"right_expr":{"type":"numeric_atoms","value":1025,"base":11}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1563,"base":11}}}}},"used_operators":["DZ8iAZOCBD","7j4O788W3g","T2fj7uvVaJ","ruOEQAzv1W","2td37pGCOC","mqXw5SEYmG","eewbuw0ToL","12rbrZMWeM","f6k1SAg4EE","tifHPKVTfV","u6S6b8DprG","oacrs7FA3X","X99M06cbEe","8w2t5hMYqp"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻3978","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5989","layer":4},{"info":"compute unary expreesion, input=5989, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-5716","layer":3},{"info":"number node, value=2056","layer":4},{"info":"compute unary expreesion, input=2056, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2056","layer":3},{"info":"compute binary expreesion, left_input=-5716, right_input=2056, op_id = T2fj7uvVaJ binary_op_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=8298","layer":4},{"info":"number node, value=1602","layer":4},{"info":"compute binary expreesion, left_input=8298, right_input=1602, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=6706","layer":3},{"info":"number node, value=1300","layer":4},{"info":"number node, value=2749","layer":4},{"info":"compute binary expreesion, left_input=1300, right_input=2749, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-436","layer":3},{"info":"compute binary expreesion, left_input=6706, right_input=-436, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-1001","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-1001, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-1001","layer":1},{"info":"number node, value=5028","layer":4},{"info":"compute unary expreesion, input=5028, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-10056","layer":3},{"info":"number node, value=1606","layer":4},{"info":"number node, value=1025","layer":4},{"info":"compute binary expreesion, left_input=1606, right_input=1025, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3088","layer":3},{"info":"compute binary expreesion, left_input=-10056, right_input=3088, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=13144","layer":2},{"info":"number node, value=1563","layer":4},{"info":"compute unary expreesion, input=1563, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-4689","layer":3},{"info":"compute unary expreesion, input=-4689, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=-7977","layer":2},{"info":"compute binary expreesion, left_input=13144, right_input=-7977, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5167","layer":1},{"info":"compute binary expreesion, left_input=-1001, right_input=-5167, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5167","layer":0}],"base":11,"result_base":11,"text":"(↔⋰*⋻4555)⋓(⩦⩻⨪⋰*⋻15AA)↺(⋰*⋻6264⨰⋰*⋻1227⫸⊐⋰*⋻A82⋳⪒⋰*⋻207A)⊉≛↸((↽≂⋰*⋻3861)⇼⇔∾⋰*⋻1230⪘⫢⋰*⋻852⪒((⊄⩳↩⋰*⋻11A1)≫≃))=⋰*⋻3978","reverse_text":"⋰*⋻3978=(↔⋰*⋻4555)⋓(⩦⩻⨪⋰*⋻15AA)↺(⋰*⋻6264⨰⋰*⋻1227⫸⊐⋰*⋻A82⋳⪒⋰*⋻207A)⊉≛↸((↽≂⋰*⋻3861)⇼⇔∾⋰*⋻1230⪘⫢⋰*⋻852⪒((⊄⩳↩⋰*⋻11A1)≫≃))","cot":[{"info":"↔⋰*⋻4555=⋰*⋻-4327","layer":3},{"info":"⩦⩻⨪⋰*⋻15AA=⋰*⋻15AA","layer":3},{"info":"⋰*⋻-4327⋓⋰*⋻15AA=⋰*⋻0","layer":2},{"info":"⋰*⋻6264⨰⋰*⋻1227=⋰*⋻5047","layer":3},{"info":"⋰*⋻A82⋳⪒⋰*⋻207A=⋰*⋻-367","layer":3},{"info":"⋰*⋻5047⫸⊐⋰*⋻-367=⋰*⋻-830","layer":2},{"info":"⋰*⋻0↺⋰*⋻-830=⋰*⋻-830","layer":1},{"info":"↽≂⋰*⋻3861=⋰*⋻-7612","layer":3},{"info":"⋰*⋻1230⪘⫢⋰*⋻852=⋰*⋻2358","layer":3},{"info":"⋰*⋻-7612⇼⇔∾⋰*⋻2358=⋰*⋻996A","layer":2},{"info":"⊄⩳↩⋰*⋻11A1=⋰*⋻-3583","layer":3},{"info":"⋰*⋻-3583≫≃=⋰*⋻-5AA2","layer":2},{"info":"⋰*⋻996A⪒⋰*⋻-5AA2=⋰*⋻-3978","layer":1},{"info":"⋰*⋻-830⊉≛↸⋰*⋻-3978=⋰*⋻3978","layer":0}]}
{"id":636,"expression_no_base_symbol":"(((⫛⫱⨽$4471$)⊘)∲⫓($3167$+$1893$)%$1649$⪮%⊝$5711$)⨪↰⇹(((⊥$2493$)⨰$4151$⨪↰⇹$1377$)⨓($3076$⨪↰⇹$1308$⋥≓≎$2876$⫥∨⫟$2152$))","expression":"(((⫛⫱⨽⋰*⋻33A5)⊘)∲⫓(⋰*⋻241A+⋰*⋻1471)%⋰*⋻126A⪮%⊝⋰*⋻4322)⨪↰⇹(((⊥⋰*⋻1967)⨰⋰*⋻3134⨪↰⇹⋰*⋻1042)⨓(⋰*⋻2347⨪↰⇹⋰*⋻A8A⋥≓≎⋰*⋻2185⫥∨⫟⋰*⋻1687))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8857,"operation_count":14,"complexity_ratio":632.6428571428571,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":4471,"base":11}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3167,"base":11},"right_expr":{"type":"numeric_atoms","value":1893,"base":11}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1649,"base":11},"right_expr":{"type":"numeric_atoms","value":5711,"base":11}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":2493,"base":11}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4151,"base":11},"right_expr":{"type":"numeric_atoms","value":1377,"base":11}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3076,"base":11},"right_expr":{"type":"numeric_atoms","value":1308,"base":11}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2876,"base":11},"right_expr":{"type":"numeric_atoms","value":2152,"base":11}}}}},"used_operators":["tmPS8pqC7x","i8ToyICDmI","gu96TGCTMs","DlLNRPXxWL","k8jYdgA6NY","W4YGzv6Whe","IWmyXbctLI","3ViojmjbAp","eewbuw0ToL","Q3PJZHRvZv","Qy55tPpLXF","KYD54nUTWz"],"dependent_operators":["rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rGHVDoGpnC","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=4471","layer":4},{"info":"compute unary expreesion, input=4471, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', 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=3167","layer":4},{"info":"number node, value=1893","layer":4},{"info":"compute binary expreesion, left_input=3167, right_input=1893, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5060","layer":3},{"info":"number node, value=1649","layer":4},{"info":"number node, value=5711","layer":4},{"info":"compute binary expreesion, left_input=1649, right_input=5711, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3614","layer":3},{"info":"compute binary expreesion, left_input=5060, right_input=3614, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1446","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=1446, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=2493","layer":4},{"info":"compute unary expreesion, input=2493, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=4151","layer":4},{"info":"number node, value=1377","layer":4},{"info":"compute binary expreesion, left_input=4151, 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=4151","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4151, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"number node, value=3076","layer":4},{"info":"number node, value=1308","layer":4},{"info":"compute binary expreesion, left_input=3076, right_input=1308, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3076","layer":3},{"info":"number node, value=2876","layer":4},{"info":"number node, value=2152","layer":4},{"info":"compute binary expreesion, left_input=2876, right_input=2152, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3076, 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 = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=0","layer":0}],"base":11,"result_base":11,"text":"(((⫛⫱⨽⋰*⋻33A5)⊘)∲⫓(⋰*⋻241A+⋰*⋻1471)%⋰*⋻126A⪮%⊝⋰*⋻4322)⨪↰⇹(((⊥⋰*⋻1967)⨰⋰*⋻3134⨪↰⇹⋰*⋻1042)⨓(⋰*⋻2347⨪↰⇹⋰*⋻A8A⋥≓≎⋰*⋻2185⫥∨⫟⋰*⋻1687))=⋰*⋻0","reverse_text":"⋰*⋻0=(((⫛⫱⨽⋰*⋻33A5)⊘)∲⫓(⋰*⋻241A+⋰*⋻1471)%⋰*⋻126A⪮%⊝⋰*⋻4322)⨪↰⇹(((⊥⋰*⋻1967)⨰⋰*⋻3134⨪↰⇹⋰*⋻1042)⨓(⋰*⋻2347⨪↰⇹⋰*⋻A8A⋥≓≎⋰*⋻2185⫥∨⫟⋰*⋻1687))","cot":[{"info":"⫛⫱⨽⋰*⋻33A5=⋰*⋻0","layer":3},{"info":"⋰*⋻0⊘=⋰*⋻0","layer":2},{"info":"⋰*⋻241A+⋰*⋻1471=⋰*⋻3890","layer":3},{"info":"⋰*⋻126A⪮%⊝⋰*⋻4322=⋰*⋻2796","layer":3},{"info":"⋰*⋻3890%⋰*⋻2796=⋰*⋻10A5","layer":2},{"info":"⋰*⋻0∲⫓⋰*⋻10A5=⋰*⋻0","layer":1},{"info":"⊥⋰*⋻1967=NaN","layer":3},{"info":"⋰*⋻3134⨪↰⇹⋰*⋻1042=⋰*⋻3134","layer":3},{"info":"NaN⨰⋰*⋻3134=NaN","layer":2},{"info":"⋰*⋻2347⨪↰⇹⋰*⋻A8A=⋰*⋻2347","layer":3},{"info":"⋰*⋻2185⫥∨⫟⋰*⋻1687=NaN","layer":3},{"info":"⋰*⋻2347⋥≓≎NaN=NaN","layer":2},{"info":"NaN⨓NaN=NaN","layer":1},{"info":"⋰*⋻0⨪↰⇹NaN=⋰*⋻0","layer":0}]}
{"id":637,"expression_no_base_symbol":"(⨞⊢(↔($1855$↺$3370$)))⩷∴(($2078$⋷$6349$)⋓($1466$⋥≓≎$6867$)⇼⇔∾(↔($8560$↙$3810$)))","expression":"(⨞⊢(↔(⋰*⋻1437↺⋰*⋻2594)))⩷∴((⋰*⋻161A⋷⋰*⋻4852)⋓(⋰*⋻1113⋥≓≎⋰*⋻5183)⇼⇔∾(↔(⋰*⋻6482↙⋰*⋻2954)))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3874,"operation_count":10,"complexity_ratio":387.4,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1855,"base":11},"right_expr":{"type":"numeric_atoms","value":3370,"base":11}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2078,"base":11},"right_expr":{"type":"numeric_atoms","value":6349,"base":11}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1466,"base":11},"right_expr":{"type":"numeric_atoms","value":6867,"base":11}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":8560,"base":11},"right_expr":{"type":"numeric_atoms","value":3810,"base":11}}}}},"used_operators":["9FxExcQeMw","xUOZtlo3hN","ruOEQAzv1W","7j4O788W3g","tifHPKVTfV","T2fj7uvVaJ","23Mk6UjR3U","Qy55tPpLXF","yyfyN0ffXY"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY"],"result":"⋰*⋻462A","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1855","layer":4},{"info":"number node, value=3370","layer":4},{"info":"compute binary expreesion, left_input=1855, right_input=3370, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3370","layer":3},{"info":"compute unary expreesion, input=3370, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3097","layer":2},{"info":"compute unary expreesion, input=-3097, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=2923","layer":1},{"info":"number node, value=2078","layer":4},{"info":"number node, value=6349","layer":4},{"info":"compute binary expreesion, left_input=2078, right_input=6349, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=10620","layer":3},{"info":"number node, value=1466","layer":4},{"info":"number node, value=6867","layer":4},{"info":"compute binary expreesion, left_input=1466, right_input=6867, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=12301","layer":3},{"info":"compute binary expreesion, left_input=10620, right_input=12301, op_id = T2fj7uvVaJ binary_op_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=8560","layer":4},{"info":"number node, value=3810","layer":4},{"info":"compute binary expreesion, left_input=8560, right_input=3810, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-11430","layer":3},{"info":"compute unary expreesion, input=-11430, 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 = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=2923, right_input=-134, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=6082","layer":0}],"base":11,"result_base":11,"text":"(⨞⊢(↔(⋰*⋻1437↺⋰*⋻2594)))⩷∴((⋰*⋻161A⋷⋰*⋻4852)⋓(⋰*⋻1113⋥≓≎⋰*⋻5183)⇼⇔∾(↔(⋰*⋻6482↙⋰*⋻2954)))=⋰*⋻462A","reverse_text":"⋰*⋻462A=(⨞⊢(↔(⋰*⋻1437↺⋰*⋻2594)))⩷∴((⋰*⋻161A⋷⋰*⋻4852)⋓(⋰*⋻1113⋥≓≎⋰*⋻5183)⇼⇔∾(↔(⋰*⋻6482↙⋰*⋻2954)))","cot":[{"info":"⋰*⋻1437↺⋰*⋻2594=⋰*⋻2594","layer":3},{"info":"↔⋰*⋻2594=⋰*⋻-2366","layer":2},{"info":"⨞⊢⋰*⋻-2366=⋰*⋻2218","layer":1},{"info":"⋰*⋻161A⋷⋰*⋻4852=⋰*⋻7A85","layer":3},{"info":"⋰*⋻1113⋥≓≎⋰*⋻5183=⋰*⋻9273","layer":3},{"info":"⋰*⋻7A85⋓⋰*⋻9273=⋰*⋻0","layer":2},{"info":"⋰*⋻6482↙⋰*⋻2954=⋰*⋻-8651","layer":3},{"info":"↔⋰*⋻-8651=⋰*⋻-112","layer":2},{"info":"⋰*⋻0⇼⇔∾⋰*⋻-112=⋰*⋻-112","layer":1},{"info":"⋰*⋻2218⩷∴⋰*⋻-112=⋰*⋻462A","layer":0}]}
{"id":638,"expression_no_base_symbol":"(($1381$+⇶⊼$2124$)⨰(⊄⩳↩$5847$)-((↔$1865$)⪨≂$1900$⊭↱$1044$))⇷(($3611$⫥∨⫟$1835$)⇋≉)⇷(($4177$↪⪝)⊉≛↸$3190$⫸⊐$3962$)","expression":"((⋰*⋻1046+⇶⊼⋰*⋻1661)⨰(⊄⩳↩⋰*⋻4436)-((↔⋰*⋻1446)⪨≂⋰*⋻1478⊭↱⋰*⋻86A))⇷((⋰*⋻2793⫥∨⫟⋰*⋻1419)⇋≉)⇷((⋰*⋻3158↪⪝)⊉≛↸⋰*⋻2440⫸⊐⋰*⋻2A82)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":926,"operation_count":14,"complexity_ratio":66.14285714285714,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1381,"base":11},"right_expr":{"type":"numeric_atoms","value":2124,"base":11}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":5847,"base":11}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1865,"base":11}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1900,"base":11},"right_expr":{"type":"numeric_atoms","value":1044,"base":11}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3611,"base":11},"right_expr":{"type":"numeric_atoms","value":1835,"base":11}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":4177,"base":11}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3190,"base":11},"right_expr":{"type":"numeric_atoms","value":3962,"base":11}}}}},"used_operators":["mp7IySMOzn","rysDP5nf3Z","eewbuw0ToL","TpPTUOHfaN","8w2t5hMYqp","sdazOOVcIp","ruOEQAzv1W","COABgblf1C","XIabStNQrY","KYD54nUTWz","DZ8iAZOCBD","l07mrZUIn9","mqXw5SEYmG"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⋰*⋻95A052380","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1381","layer":4},{"info":"number node, value=2124","layer":4},{"info":"compute binary expreesion, left_input=1381, 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":"number node, value=5847","layer":4},{"info":"compute unary expreesion, input=5847, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-17541","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-17541, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"number node, value=1865","layer":4},{"info":"compute unary expreesion, input=1865, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1592","layer":3},{"info":"number node, value=1900","layer":4},{"info":"number node, value=1044","layer":4},{"info":"compute binary expreesion, left_input=1900, right_input=1044, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-1707","layer":3},{"info":"compute binary expreesion, left_input=-1592, right_input=-1707, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=332","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=332, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=3611","layer":4},{"info":"number node, value=1835","layer":4},{"info":"compute binary expreesion, left_input=3611, right_input=1835, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽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":"number node, value=4177","layer":4},{"info":"compute unary expreesion, input=4177, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=255557214","layer":3},{"info":"number node, value=3190","layer":4},{"info":"number node, value=3962","layer":4},{"info":"compute binary expreesion, left_input=3190, right_input=3962, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=15723","layer":3},{"info":"compute binary expreesion, left_input=255557214, right_input=15723, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=511114428","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=511114428, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=1022228856","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1022228856, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2044457712","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1046+⇶⊼⋰*⋻1661)⨰(⊄⩳↩⋰*⋻4436)-((↔⋰*⋻1446)⪨≂⋰*⋻1478⊭↱⋰*⋻86A))⇷((⋰*⋻2793⫥∨⫟⋰*⋻1419)⇋≉)⇷((⋰*⋻3158↪⪝)⊉≛↸⋰*⋻2440⫸⊐⋰*⋻2A82)=⋰*⋻95A052380","reverse_text":"⋰*⋻95A052380=((⋰*⋻1046+⇶⊼⋰*⋻1661)⨰(⊄⩳↩⋰*⋻4436)-((↔⋰*⋻1446)⪨≂⋰*⋻1478⊭↱⋰*⋻86A))⇷((⋰*⋻2793⫥∨⫟⋰*⋻1419)⇋≉)⇷((⋰*⋻3158↪⪝)⊉≛↸⋰*⋻2440⫸⊐⋰*⋻2A82)","cot":[{"info":"⋰*⋻1046+⇶⊼⋰*⋻1661=NaN","layer":3},{"info":"⊄⩳↩⋰*⋻4436=⋰*⋻-121A7","layer":3},{"info":"NaN⨰⋰*⋻-121A7=NaN","layer":2},{"info":"↔⋰*⋻1446=⋰*⋻-1218","layer":3},{"info":"⋰*⋻1478⊭↱⋰*⋻86A=⋰*⋻-1312","layer":3},{"info":"⋰*⋻-1218⪨≂⋰*⋻-1312=⋰*⋻282","layer":2},{"info":"NaN-⋰*⋻282=NaN","layer":1},{"info":"⋰*⋻2793⫥∨⫟⋰*⋻1419=NaN","layer":3},{"info":"NaN⇋≉=NaN","layer":2},{"info":"⋰*⋻3158↪⪝=⋰*⋻121289A10","layer":3},{"info":"⋰*⋻2440⫸⊐⋰*⋻2A82=⋰*⋻108A4","layer":3},{"info":"⋰*⋻121289A10⊉≛↸⋰*⋻108A4=⋰*⋻242568920","layer":2},{"info":"NaN⇷⋰*⋻242568920=⋰*⋻485026740","layer":1},{"info":"NaN⇷⋰*⋻485026740=⋰*⋻95A052380","layer":0}]}
{"id":639,"expression_no_base_symbol":"(($1424$*$6815$)⨰$7135$⨟⋌⩍$4082$)↬(⇁⨣⪵$5372$)∀⇚≩(↩$2694$)⨸⪁($1991$⨪↰⇹$3217$∑⇟⊟(≉$6236$)⊉≛↸(∂$1435$⪘⫢$5314$))","expression":"((⋰*⋻1085*⋰*⋻5136)⨰⋰*⋻53A7⨟⋌⩍⋰*⋻3081)↬(⇁⨣⪵⋰*⋻4044)∀⇚≩(↩⋰*⋻202A)⨸⪁(⋰*⋻1550⨪↰⇹⋰*⋻2465∑⇟⊟(≉⋰*⋻475A)⊉≛↸(∂⋰*⋻1095⪘⫢⋰*⋻3AA1))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3465,"operation_count":14,"complexity_ratio":247.5,"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":1424,"base":11},"right_expr":{"type":"numeric_atoms","value":6815,"base":11}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":7135,"base":11},"right_expr":{"type":"numeric_atoms","value":4082,"base":11}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":5372,"base":11}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":2694,"base":11}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1991,"base":11},"right_expr":{"type":"numeric_atoms","value":3217,"base":11}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":6236,"base":11}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1435,"base":11},"right_expr":{"type":"numeric_atoms","value":5314,"base":11}}}}},"used_operators":["g55IO6H4Gj","B5M0gjZbta","eewbuw0ToL","9HNa5Wba9A","rGHVDoGpnC","LRNGc0VcxI","inkyxCbjAn","jLgFTUHLKL","DZ8iAZOCBD","U7g4x0WXJJ","tmPS8pqC7x","e1ybzncUwg","Uaa54Peajs","oacrs7FA3X"],"dependent_operators":["W4YGzv6Whe","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","Tcnh7f0tEr","X99M06cbEe","B5M0gjZbta","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1424","layer":4},{"info":"number node, value=6815","layer":4},{"info":"compute binary expreesion, left_input=1424, right_input=6815, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=9704560","layer":3},{"info":"number node, value=7135","layer":4},{"info":"number node, value=4082","layer":4},{"info":"compute binary expreesion, left_input=7135, right_input=4082, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=9704560, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"number node, value=5372","layer":4},{"info":"compute unary expreesion, input=5372, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=2694","layer":4},{"info":"compute unary expreesion, input=2694, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-18772","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-18772, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1991","layer":4},{"info":"number node, value=3217","layer":4},{"info":"compute binary expreesion, left_input=1991, right_input=3217, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1991","layer":3},{"info":"number node, value=6236","layer":4},{"info":"compute unary expreesion, input=6236, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=6767","layer":3},{"info":"compute binary expreesion, left_input=1991, right_input=6767, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=1435","layer":4},{"info":"number node, value=5314","layer":4},{"info":"compute binary expreesion, left_input=1435, right_input=5314, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2746","layer":3},{"info":"compute unary expreesion, input=2746, 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 = 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 = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1085*⋰*⋻5136)⨰⋰*⋻53A7⨟⋌⩍⋰*⋻3081)↬(⇁⨣⪵⋰*⋻4044)∀⇚≩(↩⋰*⋻202A)⨸⪁(⋰*⋻1550⨪↰⇹⋰*⋻2465∑⇟⊟(≉⋰*⋻475A)⊉≛↸(∂⋰*⋻1095⪘⫢⋰*⋻3AA1))=NaN","reverse_text":"NaN=((⋰*⋻1085*⋰*⋻5136)⨰⋰*⋻53A7⨟⋌⩍⋰*⋻3081)↬(⇁⨣⪵⋰*⋻4044)∀⇚≩(↩⋰*⋻202A)⨸⪁(⋰*⋻1550⨪↰⇹⋰*⋻2465∑⇟⊟(≉⋰*⋻475A)⊉≛↸(∂⋰*⋻1095⪘⫢⋰*⋻3AA1))","cot":[{"info":"⋰*⋻1085*⋰*⋻5136=⋰*⋻55291A8","layer":3},{"info":"⋰*⋻53A7⨟⋌⩍⋰*⋻3081=NaN","layer":3},{"info":"⋰*⋻55291A8⨰NaN=NaN","layer":2},{"info":"⇁⨣⪵⋰*⋻4044=NaN","layer":3},{"info":"↩⋰*⋻202A=⋰*⋻-13116","layer":3},{"info":"NaN∀⇚≩⋰*⋻-13116=NaN","layer":2},{"info":"NaN↬NaN=NaN","layer":1},{"info":"⋰*⋻1550⨪↰⇹⋰*⋻2465=⋰*⋻1550","layer":3},{"info":"≉⋰*⋻475A=⋰*⋻50A2","layer":3},{"info":"⋰*⋻1550∑⇟⊟⋰*⋻50A2=NaN","layer":2},{"info":"⋰*⋻1095⪘⫢⋰*⋻3AA1=⋰*⋻2077","layer":3},{"info":"∂⋰*⋻2077=NaN","layer":2},{"info":"NaN⊉≛↸NaN=NaN","layer":1},{"info":"NaN⨸⪁NaN=NaN","layer":0}]}
{"id":640,"expression_no_base_symbol":"(($3066$∼$6431$-$3144$⨐⩸⫘$1235$)⪠⩆⊳)⪐","expression":"((⋰*⋻2338∼⋰*⋻4917-⋰*⋻23A9⨐⩸⫘⋰*⋻A23)⪠⩆⊳)⪐","highest_n_order":4,"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":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3066,"base":11},"right_expr":{"type":"numeric_atoms","value":6431,"base":11}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3144,"base":11},"right_expr":{"type":"numeric_atoms","value":1235,"base":11}}}}},"used_operators":["eH2TOUuTDT","JLbD19bQDL","rysDP5nf3Z","DyGG3AbaNP","fu6greOZ01"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=3066","layer":4},{"info":"number node, value=6431","layer":4},{"info":"compute binary expreesion, left_input=3066, right_input=6431, 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=3144","layer":4},{"info":"number node, value=1235","layer":4},{"info":"compute binary expreesion, left_input=3144, right_input=1235, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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 = rysDP5nf3Z binary_op_definition= 'None', 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 unary expreesion, input=nan, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻2338∼⋰*⋻4917-⋰*⋻23A9⨐⩸⫘⋰*⋻A23)⪠⩆⊳)⪐=NaN","reverse_text":"NaN=((⋰*⋻2338∼⋰*⋻4917-⋰*⋻23A9⨐⩸⫘⋰*⋻A23)⪠⩆⊳)⪐","cot":[{"info":"⋰*⋻2338∼⋰*⋻4917=NaN","layer":3},{"info":"⋰*⋻23A9⨐⩸⫘⋰*⋻A23=NaN","layer":3},{"info":"NaN-NaN=NaN","layer":2},{"info":"NaN⪠⩆⊳=NaN","layer":1},{"info":"NaN⪐=NaN","layer":0}]}
{"id":641,"expression_no_base_symbol":"(↣≠⋷($2838$∑⇟⊟$3823$⋥≓≎$1608$⨽$2302$))⪮%⊝(≉(⫛⫱⨽$1728$)∼($5698$↙$1422$))","expression":"(↣≠⋷(⋰*⋻2150∑⇟⊟⋰*⋻2966⋥≓≎⋰*⋻1232⨽⋰*⋻1803))⪮%⊝(≉(⫛⫱⨽⋰*⋻1331)∼(⋰*⋻4310↙⋰*⋻1083))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8971,"operation_count":9,"complexity_ratio":996.7777777777778,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2838,"base":11},"right_expr":{"type":"numeric_atoms","value":3823,"base":11}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1608,"base":11},"right_expr":{"type":"numeric_atoms","value":2302,"base":11}}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1728,"base":11}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":5698,"base":11},"right_expr":{"type":"numeric_atoms","value":1422,"base":11}}}}},"used_operators":["IWmyXbctLI","Asc51vEJeQ","Qy55tPpLXF","U7g4x0WXJJ","8HhzD0ZcuI","e1ybzncUwg","DyGG3AbaNP","DlLNRPXxWL","yyfyN0ffXY"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rGHVDoGpnC","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2838","layer":4},{"info":"number node, value=3823","layer":4},{"info":"compute binary expreesion, left_input=2838, right_input=3823, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1608","layer":4},{"info":"number node, value=2302","layer":4},{"info":"compute binary expreesion, left_input=1608, right_input=2302, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-7762584","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-7762584, 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=1728","layer":4},{"info":"compute unary expreesion, input=1728, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=5698","layer":4},{"info":"number node, value=1422","layer":4},{"info":"compute binary expreesion, left_input=5698, right_input=1422, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4266","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-4266, 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 = 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 = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(↣≠⋷(⋰*⋻2150∑⇟⊟⋰*⋻2966⋥≓≎⋰*⋻1232⨽⋰*⋻1803))⪮%⊝(≉(⫛⫱⨽⋰*⋻1331)∼(⋰*⋻4310↙⋰*⋻1083))=NaN","reverse_text":"NaN=(↣≠⋷(⋰*⋻2150∑⇟⊟⋰*⋻2966⋥≓≎⋰*⋻1232⨽⋰*⋻1803))⪮%⊝(≉(⫛⫱⨽⋰*⋻1331)∼(⋰*⋻4310↙⋰*⋻1083))","cot":[{"info":"⋰*⋻2150∑⇟⊟⋰*⋻2966=NaN","layer":3},{"info":"⋰*⋻1232⨽⋰*⋻1803=⋰*⋻-4422165","layer":3},{"info":"NaN⋥≓≎⋰*⋻-4422165=⋰*⋻61","layer":2},{"info":"↣≠⋷⋰*⋻61=NaN","layer":1},{"info":"⫛⫱⨽⋰*⋻1331=⋰*⋻0","layer":3},{"info":"⋰*⋻4310↙⋰*⋻1083=⋰*⋻-3229","layer":3},{"info":"⋰*⋻0∼⋰*⋻-3229=NaN","layer":2},{"info":"≉NaN=NaN","layer":1},{"info":"NaN⪮%⊝NaN=NaN","layer":0}]}
{"id":642,"expression_no_base_symbol":"⫛⫱⨽(($2157$∀⇚≩$2325$-$2272$⊴$1015$)⨟⋌⩍($1243$⫡⨏$8475$)⪮%⊝($1334$⋳⪒$1370$))","expression":"⫛⫱⨽((⋰*⋻1691∀⇚≩⋰*⋻1824-⋰*⋻1786⊴⋰*⋻843)⨟⋌⩍(⋰*⋻A30⫡⨏⋰*⋻6405)⪮%⊝(⋰*⋻1003⋳⪒⋰*⋻1036))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":17230,"operation_count":8,"complexity_ratio":2153.75,"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":2157,"base":11},"right_expr":{"type":"numeric_atoms","value":2325,"base":11}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2272,"base":11},"right_expr":{"type":"numeric_atoms","value":1015,"base":11}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1243,"base":11},"right_expr":{"type":"numeric_atoms","value":8475,"base":11}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1334,"base":11},"right_expr":{"type":"numeric_atoms","value":1370,"base":11}}}}},"used_operators":["DlLNRPXxWL","rGHVDoGpnC","rysDP5nf3Z","LRNGc0VcxI","Nsiff2A1zJ","IWmyXbctLI","QMFrweE19q","12rbrZMWeM"],"dependent_operators":["rGHVDoGpnC","Tcnh7f0tEr","X99M06cbEe","dWAJyo7jo9","14qkJME0vr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2157","layer":4},{"info":"number node, value=2325","layer":4},{"info":"compute binary expreesion, left_input=2157, right_input=2325, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=2272","layer":4},{"info":"number node, value=1015","layer":4},{"info":"compute binary expreesion, left_input=2272, right_input=1015, 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 = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1243","layer":4},{"info":"number node, value=8475","layer":4},{"info":"compute binary expreesion, left_input=1243, right_input=8475, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=23948","layer":3},{"info":"number node, value=1334","layer":4},{"info":"number node, value=1370","layer":4},{"info":"compute binary expreesion, left_input=1334, right_input=1370, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1011","layer":3},{"info":"compute binary expreesion, left_input=23948, right_input=1011, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=48212","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=48212, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⫛⫱⨽((⋰*⋻1691∀⇚≩⋰*⋻1824-⋰*⋻1786⊴⋰*⋻843)⨟⋌⩍(⋰*⋻A30⫡⨏⋰*⋻6405)⪮%⊝(⋰*⋻1003⋳⪒⋰*⋻1036))=NaN","reverse_text":"NaN=⫛⫱⨽((⋰*⋻1691∀⇚≩⋰*⋻1824-⋰*⋻1786⊴⋰*⋻843)⨟⋌⩍(⋰*⋻A30⫡⨏⋰*⋻6405)⪮%⊝(⋰*⋻1003⋳⪒⋰*⋻1036))","cot":[{"info":"⋰*⋻1691∀⇚≩⋰*⋻1824=NaN","layer":3},{"info":"⋰*⋻1786⊴⋰*⋻843=NaN","layer":3},{"info":"NaN-NaN=NaN","layer":2},{"info":"⋰*⋻A30⫡⨏⋰*⋻6405=⋰*⋻16AA1","layer":3},{"info":"⋰*⋻1003⋳⪒⋰*⋻1036=⋰*⋻83A","layer":3},{"info":"⋰*⋻16AA1⪮%⊝⋰*⋻83A=⋰*⋻3324A","layer":2},{"info":"NaN⨟⋌⩍⋰*⋻3324A=NaN","layer":1},{"info":"⫛⫱⨽NaN=NaN","layer":0}]}
{"id":643,"expression_no_base_symbol":"(⨈⫕(⋗⩬⋾$3045$))⩨((⪝⪂⫅$1896$)%$1127$⪛$3047$)⨸⪁(⨵≀≌($1977$⋓$1005$*$8212$⫥∨⫟$2018$))","expression":"(⨈⫕(⋗⩬⋾⋰*⋻2319))⩨((⪝⪂⫅⋰*⋻1474)%⋰*⋻935⪛⋰*⋻2320)⨸⪁(⨵≀≌(⋰*⋻1538⋓⋰*⋻834*⋰*⋻6196⫥∨⫟⋰*⋻1575))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1004,"operation_count":11,"complexity_ratio":91.27272727272727,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":3045,"base":11}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1896,"base":11}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1127,"base":11},"right_expr":{"type":"numeric_atoms","value":3047,"base":11}}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1977,"base":11},"right_expr":{"type":"numeric_atoms","value":1005,"base":11}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":8212,"base":11},"right_expr":{"type":"numeric_atoms","value":2018,"base":11}}}}},"used_operators":["g55IO6H4Gj","2DlMacCsIx","megm06wKyl","DpFCA1CohY","k8jYdgA6NY","XTarYq4gQB","uFcxV4UQCh","srAu1WTS94","9HNa5Wba9A","T2fj7uvVaJ","KYD54nUTWz"],"dependent_operators":["W4YGzv6Whe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","8w2t5hMYqp","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3045","layer":4},{"info":"compute unary expreesion, input=3045, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-9135","layer":3},{"info":"compute unary expreesion, input=-9135, 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=1896","layer":4},{"info":"compute unary expreesion, input=1896, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-278712","layer":3},{"info":"number node, value=1127","layer":4},{"info":"number node, value=3047","layer":4},{"info":"compute binary expreesion, left_input=1127, right_input=3047, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1127","layer":3},{"info":"compute binary expreesion, left_input=-278712, right_input=1127, op_id = k8jYdgA6NY binary_op_definition= 'None', output=784","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=784, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=114","layer":1},{"info":"number node, value=1977","layer":4},{"info":"number node, value=1005","layer":4},{"info":"compute binary expreesion, left_input=1977, right_input=1005, op_id = T2fj7uvVaJ binary_op_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=8212","layer":4},{"info":"number node, value=2018","layer":4},{"info":"compute binary expreesion, left_input=8212, right_input=2018, 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 = 9HNa5Wba9A binary_op_definition= 'None', 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=114, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⨈⫕(⋗⩬⋾⋰*⋻2319))⩨((⪝⪂⫅⋰*⋻1474)%⋰*⋻935⪛⋰*⋻2320)⨸⪁(⨵≀≌(⋰*⋻1538⋓⋰*⋻834*⋰*⋻6196⫥∨⫟⋰*⋻1575))=NaN","reverse_text":"NaN=(⨈⫕(⋗⩬⋾⋰*⋻2319))⩨((⪝⪂⫅⋰*⋻1474)%⋰*⋻935⪛⋰*⋻2320)⨸⪁(⨵≀≌(⋰*⋻1538⋓⋰*⋻834*⋰*⋻6196⫥∨⫟⋰*⋻1575))","cot":[{"info":"⋗⩬⋾⋰*⋻2319=⋰*⋻-6955","layer":3},{"info":"⨈⫕⋰*⋻-6955=⋰*⋻-1A","layer":2},{"info":"⪝⪂⫅⋰*⋻1474=⋰*⋻-180445","layer":3},{"info":"⋰*⋻935⪛⋰*⋻2320=⋰*⋻935","layer":3},{"info":"⋰*⋻-180445%⋰*⋻935=⋰*⋻653","layer":2},{"info":"⋰*⋻-1A⩨⋰*⋻653=⋰*⋻A4","layer":1},{"info":"⋰*⋻1538⋓⋰*⋻834=⋰*⋻0","layer":3},{"info":"⋰*⋻6196⫥∨⫟⋰*⋻1575=NaN","layer":3},{"info":"⋰*⋻0*NaN=NaN","layer":2},{"info":"⨵≀≌NaN=NaN","layer":1},{"info":"⋰*⋻A4⨸⪁NaN=NaN","layer":0}]}
{"id":644,"expression_no_base_symbol":"⨑⩽⪐(($2584$⊭↱$8510$)⋓($1367$⨸⪁$1042$)⨳⩥⨓($5338$⪛$8697$⨸⪁($3336$+$1088$)))","expression":"⨑⩽⪐((⋰*⋻1A3A⊭↱⋰*⋻6437)⋓(⋰*⋻1033⨸⪁⋰*⋻868)⨳⩥⨓(⋰*⋻4013⪛⋰*⋻6597⨸⪁(⋰*⋻2563+⋰*⋻8AA)))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":37,"operation_count":8,"complexity_ratio":4.625,"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":2584,"base":11},"right_expr":{"type":"numeric_atoms","value":8510,"base":11}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1367,"base":11},"right_expr":{"type":"numeric_atoms","value":1042,"base":11}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":5338,"base":11},"right_expr":{"type":"numeric_atoms","value":8697,"base":11}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3336,"base":11},"right_expr":{"type":"numeric_atoms","value":1088,"base":11}}}}},"used_operators":["AF7qkfDlqP","nCS4ZIUYfx","T2fj7uvVaJ","COABgblf1C","g55IO6H4Gj","uFcxV4UQCh","W4YGzv6Whe"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⋰*⋻-13511","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2584","layer":4},{"info":"number node, value=8510","layer":4},{"info":"compute binary expreesion, left_input=2584, right_input=8510, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=11857","layer":3},{"info":"number node, value=1367","layer":4},{"info":"number node, value=1042","layer":4},{"info":"compute binary expreesion, left_input=1367, right_input=1042, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=4818","layer":3},{"info":"compute binary expreesion, left_input=11857, right_input=4818, op_id = T2fj7uvVaJ binary_op_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=5338","layer":4},{"info":"number node, value=8697","layer":4},{"info":"compute binary expreesion, left_input=5338, right_input=8697, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=5338","layer":3},{"info":"number node, value=3336","layer":4},{"info":"number node, value=1088","layer":4},{"info":"compute binary expreesion, left_input=3336, right_input=1088, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4424","layer":3},{"info":"compute binary expreesion, left_input=5338, right_input=4424, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=19524","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=19524, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=19524","layer":1},{"info":"compute unary expreesion, input=19524, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-19251","layer":0}],"base":11,"result_base":11,"text":"⨑⩽⪐((⋰*⋻1A3A⊭↱⋰*⋻6437)⋓(⋰*⋻1033⨸⪁⋰*⋻868)⨳⩥⨓(⋰*⋻4013⪛⋰*⋻6597⨸⪁(⋰*⋻2563+⋰*⋻8AA)))=⋰*⋻-13511","reverse_text":"⋰*⋻-13511=⨑⩽⪐((⋰*⋻1A3A⊭↱⋰*⋻6437)⋓(⋰*⋻1033⨸⪁⋰*⋻868)⨳⩥⨓(⋰*⋻4013⪛⋰*⋻6597⨸⪁(⋰*⋻2563+⋰*⋻8AA)))","cot":[{"info":"⋰*⋻1A3A⊭↱⋰*⋻6437=⋰*⋻89AA","layer":3},{"info":"⋰*⋻1033⨸⪁⋰*⋻868=⋰*⋻3690","layer":3},{"info":"⋰*⋻89AA⋓⋰*⋻3690=⋰*⋻0","layer":2},{"info":"⋰*⋻4013⪛⋰*⋻6597=⋰*⋻4013","layer":3},{"info":"⋰*⋻2563+⋰*⋻8AA=⋰*⋻3362","layer":3},{"info":"⋰*⋻4013⨸⪁⋰*⋻3362=⋰*⋻1373A","layer":2},{"info":"⋰*⋻0⨳⩥⨓⋰*⋻1373A=⋰*⋻1373A","layer":1},{"info":"⨑⩽⪐⋰*⋻1373A=⋰*⋻-13511","layer":0}]}
{"id":645,"expression_no_base_symbol":"(($7054$⨵⪆$1606$)≹⇙⪍($1647$⨸⪁$1371$)⋷$5033$⨟⋌⩍$2931$⨰($2010$⨽$5015$))↛⩡⫤","expression":"((⋰*⋻5333⨵⪆⋰*⋻1230)≹⇙⪍(⋰*⋻1268⨸⪁⋰*⋻1037)⋷⋰*⋻3866⨟⋌⩍⋰*⋻2225⨰(⋰*⋻1568⨽⋰*⋻384A))↛⩡⫤","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2096,"operation_count":8,"complexity_ratio":262.0,"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":7054,"base":11},"right_expr":{"type":"numeric_atoms","value":1606,"base":11}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1647,"base":11},"right_expr":{"type":"numeric_atoms","value":1371,"base":11}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":5033,"base":11},"right_expr":{"type":"numeric_atoms","value":2931,"base":11}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2010,"base":11},"right_expr":{"type":"numeric_atoms","value":5015,"base":11}}}}},"used_operators":["FU0Cs4j7VP","23Mk6UjR3U","AHs5Up7iyr","2DQ55sFlQl","g55IO6H4Gj","eewbuw0ToL","rGHVDoGpnC","8HhzD0ZcuI"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7054","layer":4},{"info":"number node, value=1606","layer":4},{"info":"compute binary expreesion, left_input=7054, right_input=1606, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1647","layer":4},{"info":"number node, value=1371","layer":4},{"info":"compute binary expreesion, left_input=1647, right_input=1371, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=6036","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=6036, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=5033","layer":4},{"info":"number node, value=2931","layer":4},{"info":"compute binary expreesion, left_input=5033, right_input=2931, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=2010","layer":4},{"info":"number node, value=5015","layer":4},{"info":"compute binary expreesion, left_input=2010, right_input=5015, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-12134031","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-12134031, 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 = 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 = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻5333⨵⪆⋰*⋻1230)≹⇙⪍(⋰*⋻1268⨸⪁⋰*⋻1037)⋷⋰*⋻3866⨟⋌⩍⋰*⋻2225⨰(⋰*⋻1568⨽⋰*⋻384A))↛⩡⫤=NaN","reverse_text":"NaN=((⋰*⋻5333⨵⪆⋰*⋻1230)≹⇙⪍(⋰*⋻1268⨸⪁⋰*⋻1037)⋷⋰*⋻3866⨟⋌⩍⋰*⋻2225⨰(⋰*⋻1568⨽⋰*⋻384A))↛⩡⫤","cot":[{"info":"⋰*⋻5333⨵⪆⋰*⋻1230=⋰*⋻136","layer":3},{"info":"⋰*⋻1268⨸⪁⋰*⋻1037=⋰*⋻4598","layer":3},{"info":"⋰*⋻136≹⇙⪍⋰*⋻4598=NaN","layer":2},{"info":"⋰*⋻3866⨟⋌⩍⋰*⋻2225=NaN","layer":3},{"info":"⋰*⋻1568⨽⋰*⋻384A=⋰*⋻-6938528","layer":3},{"info":"NaN⨰⋰*⋻-6938528=NaN","layer":2},{"info":"NaN⋷NaN=NaN","layer":1},{"info":"NaN↛⩡⫤=NaN","layer":0}]}
{"id":646,"expression_no_base_symbol":"((-$4785$⋓$5191$)⨰((⨈⫕$8438$)⫌⩹⨱))↬(($7230$↺$2217$-$2453$⫸⊐$1275$)⪄(∂($2393$⊉≛↸$1195$)))","expression":"((-⋰*⋻3660⋓⋰*⋻399A)⨰((⨈⫕⋰*⋻6381)⫌⩹⨱))↬((⋰*⋻5483↺⋰*⋻1736-⋰*⋻1930⫸⊐⋰*⋻A5A)⪄(∂(⋰*⋻1886⊉≛↸⋰*⋻997)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":536,"operation_count":12,"complexity_ratio":44.666666666666664,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4785,"base":11},"right_expr":{"type":"numeric_atoms","value":5191,"base":11}}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":8438,"base":11}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":7230,"base":11},"right_expr":{"type":"numeric_atoms","value":2217,"base":11}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2453,"base":11},"right_expr":{"type":"numeric_atoms","value":1275,"base":11}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2393,"base":11},"right_expr":{"type":"numeric_atoms","value":1195,"base":11}}}}},"used_operators":["B5M0gjZbta","eewbuw0ToL","t8gj7n24qd","T2fj7uvVaJ","EBcxylXtPf","megm06wKyl","SUmda5xLS4","rysDP5nf3Z","7j4O788W3g","mqXw5SEYmG","Uaa54Peajs","DZ8iAZOCBD"],"dependent_operators":["rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4785","layer":4},{"info":"number node, value=5191","layer":4},{"info":"compute binary expreesion, left_input=4785, right_input=5191, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = t8gj7n24qd, unary_op_definition = 'None', output=0","layer":2},{"info":"number node, value=8438","layer":4},{"info":"compute unary expreesion, input=8438, 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 = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=1359","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=1359, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1349","layer":1},{"info":"number node, value=7230","layer":4},{"info":"number node, value=2217","layer":4},{"info":"compute binary expreesion, left_input=7230, right_input=2217, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2217","layer":3},{"info":"number node, value=2453","layer":4},{"info":"number node, value=1275","layer":4},{"info":"compute binary expreesion, left_input=2453, right_input=1275, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4975","layer":3},{"info":"compute binary expreesion, left_input=2217, right_input=4975, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-2758","layer":2},{"info":"number node, value=2393","layer":4},{"info":"number node, value=1195","layer":4},{"info":"compute binary expreesion, left_input=2393, right_input=1195, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4786","layer":3},{"info":"compute unary expreesion, input=4786, 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=-2758, 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=-1349, 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":0}],"base":11,"result_base":11,"text":"((-⋰*⋻3660⋓⋰*⋻399A)⨰((⨈⫕⋰*⋻6381)⫌⩹⨱))↬((⋰*⋻5483↺⋰*⋻1736-⋰*⋻1930⫸⊐⋰*⋻A5A)⪄(∂(⋰*⋻1886⊉≛↸⋰*⋻997)))=NaN","reverse_text":"NaN=((-⋰*⋻3660⋓⋰*⋻399A)⨰((⨈⫕⋰*⋻6381)⫌⩹⨱))↬((⋰*⋻5483↺⋰*⋻1736-⋰*⋻1930⫸⊐⋰*⋻A5A)⪄(∂(⋰*⋻1886⊉≛↸⋰*⋻997)))","cot":[{"info":"⋰*⋻3660⋓⋰*⋻399A=⋰*⋻0","layer":3},{"info":"-⋰*⋻0=⋰*⋻0","layer":2},{"info":"⨈⫕⋰*⋻6381=⋰*⋻-1A","layer":3},{"info":"⋰*⋻-1A⫌⩹⨱=⋰*⋻1026","layer":2},{"info":"⋰*⋻0⨰⋰*⋻1026=⋰*⋻-1017","layer":1},{"info":"⋰*⋻5483↺⋰*⋻1736=⋰*⋻1736","layer":3},{"info":"⋰*⋻1930⫸⊐⋰*⋻A5A=⋰*⋻3813","layer":3},{"info":"⋰*⋻1736-⋰*⋻3813=⋰*⋻-2088","layer":2},{"info":"⋰*⋻1886⊉≛↸⋰*⋻997=⋰*⋻3661","layer":3},{"info":"∂⋰*⋻3661=NaN","layer":2},{"info":"⋰*⋻-2088⪄NaN=⋰*⋻2A98","layer":1},{"info":"⋰*⋻-1017↬⋰*⋻2A98=NaN","layer":0}]}
{"id":647,"expression_no_base_symbol":"(((↣≠⋷$2456$)+$5386$⋥≓≎$5532$)⩨(+⊝⨔($3538$⩨$3826$)))⨳⩥⨓(($1745$⊴$1479$)⊴($3582$⪮%⊝$1104$)⫌⩹⨱)","expression":"(((↣≠⋷⋰*⋻1933)+⋰*⋻4057⋥≓≎⋰*⋻417A)⩨(+⊝⨔(⋰*⋻2727⩨⋰*⋻2969)))⨳⩥⨓((⋰*⋻1347⊴⋰*⋻1125)⊴(⋰*⋻2767⪮%⊝⋰*⋻914)⫌⩹⨱)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":9495,"operation_count":11,"complexity_ratio":863.1818181818181,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2456,"base":11}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":5386,"base":11},"right_expr":{"type":"numeric_atoms","value":5532,"base":11}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3538,"base":11},"right_expr":{"type":"numeric_atoms","value":3826,"base":11}}}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1745,"base":11},"right_expr":{"type":"numeric_atoms","value":1479,"base":11}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3582,"base":11},"right_expr":{"type":"numeric_atoms","value":1104,"base":11}}}}},"used_operators":["nCS4ZIUYfx","2DlMacCsIx","W4YGzv6Whe","Asc51vEJeQ","Qy55tPpLXF","DhbWaqg5eL","EBcxylXtPf","Nsiff2A1zJ","IWmyXbctLI"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2456","layer":4},{"info":"compute unary expreesion, input=2456, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=5386","layer":4},{"info":"number node, value=5532","layer":4},{"info":"compute binary expreesion, left_input=5386, right_input=5532, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=5711","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5711, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=3538","layer":4},{"info":"number node, value=3826","layer":4},{"info":"compute binary expreesion, left_input=3538, right_input=3826, 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 = 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 = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"number node, value=1745","layer":4},{"info":"number node, value=1479","layer":4},{"info":"compute binary expreesion, left_input=1745, right_input=1479, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=3582","layer":4},{"info":"number node, value=1104","layer":4},{"info":"compute binary expreesion, left_input=3582, right_input=1104, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=7480","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7480, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((↣≠⋷⋰*⋻1933)+⋰*⋻4057⋥≓≎⋰*⋻417A)⩨(+⊝⨔(⋰*⋻2727⩨⋰*⋻2969)))⨳⩥⨓((⋰*⋻1347⊴⋰*⋻1125)⊴(⋰*⋻2767⪮%⊝⋰*⋻914)⫌⩹⨱)=NaN","reverse_text":"NaN=(((↣≠⋷⋰*⋻1933)+⋰*⋻4057⋥≓≎⋰*⋻417A)⩨(+⊝⨔(⋰*⋻2727⩨⋰*⋻2969)))⨳⩥⨓((⋰*⋻1347⊴⋰*⋻1125)⊴(⋰*⋻2767⪮%⊝⋰*⋻914)⫌⩹⨱)","cot":[{"info":"↣≠⋷⋰*⋻1933=NaN","layer":3},{"info":"⋰*⋻4057⋥≓≎⋰*⋻417A=⋰*⋻4322","layer":3},{"info":"NaN+⋰*⋻4322=NaN","layer":2},{"info":"⋰*⋻2727⩨⋰*⋻2969=⋰*⋻-3","layer":3},{"info":"+⊝⨔⋰*⋻-3=⋰*⋻1164","layer":2},{"info":"NaN⩨⋰*⋻1164=NaN","layer":1},{"info":"⋰*⋻1347⊴⋰*⋻1125=NaN","layer":3},{"info":"⋰*⋻2767⪮%⊝⋰*⋻914=⋰*⋻5690","layer":3},{"info":"NaN⊴⋰*⋻5690=NaN","layer":2},{"info":"NaN⫌⩹⨱=NaN","layer":1},{"info":"NaN⨳⩥⨓NaN=NaN","layer":0}]}
{"id":648,"expression_no_base_symbol":"⊙↵-(⋗⩬⋾($2149$⇷$7940$⩨($5021$⇼⇔∾$5803$)))","expression":"⊙↵-(⋗⩬⋾(⋰*⋻1684⇷⋰*⋻5A69⩨(⋰*⋻3855⇼⇔∾⋰*⋻43A6)))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":30128,"operation_count":5,"complexity_ratio":6025.6,"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":2149,"base":11},"right_expr":{"type":"numeric_atoms","value":7940,"base":11}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":5021,"base":11},"right_expr":{"type":"numeric_atoms","value":5803,"base":11}}}}},"used_operators":["oWn0xqSxBt","DpFCA1CohY","2DlMacCsIx","mp7IySMOzn","tifHPKVTfV"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2149","layer":4},{"info":"number node, value=7940","layer":4},{"info":"compute binary expreesion, left_input=2149, right_input=7940, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=15880","layer":3},{"info":"number node, value=5021","layer":4},{"info":"number node, value=5803","layer":4},{"info":"compute binary expreesion, left_input=5021, right_input=5803, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=782","layer":3},{"info":"compute binary expreesion, left_input=15880, right_input=782, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":0}],"base":11,"result_base":11,"text":"⊙↵-(⋗⩬⋾(⋰*⋻1684⇷⋰*⋻5A69⩨(⋰*⋻3855⇼⇔∾⋰*⋻43A6)))=⋰*⋻0","reverse_text":"⋰*⋻0=⊙↵-(⋗⩬⋾(⋰*⋻1684⇷⋰*⋻5A69⩨(⋰*⋻3855⇼⇔∾⋰*⋻43A6)))","cot":[{"info":"⋰*⋻1684⇷⋰*⋻5A69=⋰*⋻10A27","layer":3},{"info":"⋰*⋻3855⇼⇔∾⋰*⋻43A6=⋰*⋻651","layer":3},{"info":"⋰*⋻10A27⩨⋰*⋻651=⋰*⋻0","layer":2},{"info":"⋗⩬⋾⋰*⋻0=⋰*⋻0","layer":1},{"info":"⊙↵-⋰*⋻0=⋰*⋻0","layer":0}]}
{"id":649,"expression_no_base_symbol":"+⊝⨔((-(⨞⊢$1083$))⊉≛↸($1050$⫥∨⫟$2459$⪨≂$1763$∀⇚≩$2719$))","expression":"+⊝⨔((-(⨞⊢⋰*⋻8A5))⊉≛↸(⋰*⋻875⫥∨⫟⋰*⋻1936⪨≂⋰*⋻1363∀⇚≩⋰*⋻2052))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":12545,"operation_count":7,"complexity_ratio":1792.142857142857,"tree":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1083,"base":11}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1050,"base":11},"right_expr":{"type":"numeric_atoms","value":2459,"base":11}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1763,"base":11},"right_expr":{"type":"numeric_atoms","value":2719,"base":11}}}}},"used_operators":["DhbWaqg5eL","DZ8iAZOCBD","t8gj7n24qd","xUOZtlo3hN","sdazOOVcIp","KYD54nUTWz","LRNGc0VcxI"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","X99M06cbEe"],"result":"⋰*⋻1164","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1083","layer":4},{"info":"compute unary expreesion, input=1083, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1257","layer":3},{"info":"compute unary expreesion, input=-1257, op_id = t8gj7n24qd, unary_op_definition = 'None', output=1257","layer":2},{"info":"number node, value=1050","layer":4},{"info":"number node, value=2459","layer":4},{"info":"compute binary expreesion, left_input=1050, right_input=2459, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1763","layer":4},{"info":"number node, value=2719","layer":4},{"info":"compute binary expreesion, left_input=1763, right_input=2719, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = 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=1257, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2514","layer":1},{"info":"compute unary expreesion, input=2514, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":0}],"base":11,"result_base":11,"text":"+⊝⨔((-(⨞⊢⋰*⋻8A5))⊉≛↸(⋰*⋻875⫥∨⫟⋰*⋻1936⪨≂⋰*⋻1363∀⇚≩⋰*⋻2052))=⋰*⋻1164","reverse_text":"⋰*⋻1164=+⊝⨔((-(⨞⊢⋰*⋻8A5))⊉≛↸(⋰*⋻875⫥∨⫟⋰*⋻1936⪨≂⋰*⋻1363∀⇚≩⋰*⋻2052))","cot":[{"info":"⨞⊢⋰*⋻8A5=⋰*⋻-A43","layer":3},{"info":"-⋰*⋻-A43=⋰*⋻A43","layer":2},{"info":"⋰*⋻875⫥∨⫟⋰*⋻1936=NaN","layer":3},{"info":"⋰*⋻1363∀⇚≩⋰*⋻2052=NaN","layer":3},{"info":"NaN⪨≂NaN=NaN","layer":2},{"info":"⋰*⋻A43⊉≛↸NaN=⋰*⋻1986","layer":1},{"info":"+⊝⨔⋰*⋻1986=⋰*⋻1164","layer":0}]}
{"id":650,"expression_no_base_symbol":"(↣≠⋷($1247$⨰$2913$⫸⊐(⇁⨣⪵$2741$)))⫥∨⫟($2003$∀⇚≩$6521$⊭↱$9211$⨎$7203$)⨟⋌⩍(($1185$⋫)⊉≛↸$3906$⋝⋈⪟$1332$)","expression":"(↣≠⋷(⋰*⋻A34⨰⋰*⋻2209⫸⊐(⇁⨣⪵⋰*⋻2072)))⫥∨⫟(⋰*⋻1561∀⇚≩⋰*⋻4999⊭↱⋰*⋻6A14⨎⋰*⋻5459)⨟⋌⩍((⋰*⋻988⋫)⊉≛↸⋰*⋻2A31⋝⋈⪟⋰*⋻1001)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":952410,"operation_count":12,"complexity_ratio":79367.5,"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":1247,"base":11},"right_expr":{"type":"numeric_atoms","value":2913,"base":11}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2741,"base":11}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2003,"base":11},"right_expr":{"type":"numeric_atoms","value":6521,"base":11}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":9211,"base":11},"right_expr":{"type":"numeric_atoms","value":7203,"base":11}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1185,"base":11}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3906,"base":11},"right_expr":{"type":"numeric_atoms","value":1332,"base":11}}}}},"used_operators":["KYD54nUTWz","Asc51vEJeQ","mqXw5SEYmG","eewbuw0ToL","inkyxCbjAn","rGHVDoGpnC","COABgblf1C","LRNGc0VcxI","rJVOvQCfKK","DZ8iAZOCBD","JL8yIekQnl","2DDjHMKMc0"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","XhwjNDsVaA","AHs5Up7iyr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1247","layer":4},{"info":"number node, value=2913","layer":4},{"info":"compute binary expreesion, left_input=1247, right_input=2913, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1656","layer":3},{"info":"number node, value=2741","layer":4},{"info":"compute unary expreesion, input=2741, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1656, 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 = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"number node, value=2003","layer":4},{"info":"number node, value=6521","layer":4},{"info":"compute binary expreesion, left_input=2003, right_input=6521, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=9211","layer":4},{"info":"number node, value=7203","layer":4},{"info":"compute binary expreesion, left_input=9211, right_input=7203, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=7203","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7203, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"number node, value=1185","layer":4},{"info":"compute unary expreesion, input=1185, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1185","layer":3},{"info":"number node, value=3906","layer":4},{"info":"number node, value=1332","layer":4},{"info":"compute binary expreesion, left_input=3906, right_input=1332, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3906","layer":3},{"info":"compute binary expreesion, left_input=1185, right_input=3906, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2370","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2370, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(↣≠⋷(⋰*⋻A34⨰⋰*⋻2209⫸⊐(⇁⨣⪵⋰*⋻2072)))⫥∨⫟(⋰*⋻1561∀⇚≩⋰*⋻4999⊭↱⋰*⋻6A14⨎⋰*⋻5459)⨟⋌⩍((⋰*⋻988⋫)⊉≛↸⋰*⋻2A31⋝⋈⪟⋰*⋻1001)=NaN","reverse_text":"NaN=(↣≠⋷(⋰*⋻A34⨰⋰*⋻2209⫸⊐(⇁⨣⪵⋰*⋻2072)))⫥∨⫟(⋰*⋻1561∀⇚≩⋰*⋻4999⊭↱⋰*⋻6A14⨎⋰*⋻5459)⨟⋌⩍((⋰*⋻988⋫)⊉≛↸⋰*⋻2A31⋝⋈⪟⋰*⋻1001)","cot":[{"info":"⋰*⋻A34⨰⋰*⋻2209=⋰*⋻-1276","layer":3},{"info":"⇁⨣⪵⋰*⋻2072=NaN","layer":3},{"info":"⋰*⋻-1276⫸⊐NaN=⋰*⋻800","layer":2},{"info":"↣≠⋷⋰*⋻800=NaN","layer":1},{"info":"⋰*⋻1561∀⇚≩⋰*⋻4999=NaN","layer":3},{"info":"⋰*⋻6A14⨎⋰*⋻5459=⋰*⋻5459","layer":3},{"info":"NaN⊭↱⋰*⋻5459=NaN","layer":2},{"info":"⋰*⋻988⋫=⋰*⋻988","layer":3},{"info":"⋰*⋻2A31⋝⋈⪟⋰*⋻1001=⋰*⋻2A31","layer":3},{"info":"⋰*⋻988⊉≛↸⋰*⋻2A31=⋰*⋻1865","layer":2},{"info":"NaN⨟⋌⩍⋰*⋻1865=NaN","layer":1},{"info":"NaN⫥∨⫟NaN=NaN","layer":0}]}
{"id":651,"expression_no_base_symbol":"(∥⊫(↩$2315$)⨟⋌⩍($5400$⋝⋈⪟$4128$))⋓((≉($1864$∲⫓$1294$))⨳⩥⨓(($2054$⪨≂$1400$)⊭↱$6504$⨎$2672$))","expression":"(∥⊫(↩⋰*⋻1815)⨟⋌⩍(⋰*⋻406A⋝⋈⪟⋰*⋻3113))⋓((≉(⋰*⋻1445∲⫓⋰*⋻A77))⨳⩥⨓((⋰*⋻15A8⪨≂⋰*⋻1063)⊭↱⋰*⋻4983⨎⋰*⋻200A))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":55,"operation_count":11,"complexity_ratio":5.0,"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":2315,"base":11}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":5400,"base":11},"right_expr":{"type":"numeric_atoms","value":4128,"base":11}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1864,"base":11},"right_expr":{"type":"numeric_atoms","value":1294,"base":11}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2054,"base":11},"right_expr":{"type":"numeric_atoms","value":1400,"base":11}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":6504,"base":11},"right_expr":{"type":"numeric_atoms","value":2672,"base":11}}}}},"used_operators":["T2fj7uvVaJ","P8v4zCKN1o","rGHVDoGpnC","jLgFTUHLKL","2DDjHMKMc0","nCS4ZIUYfx","e1ybzncUwg","i8ToyICDmI","COABgblf1C","sdazOOVcIp","rJVOvQCfKK"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2315","layer":4},{"info":"compute unary expreesion, input=2315, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-15740","layer":3},{"info":"number node, value=5400","layer":4},{"info":"number node, value=4128","layer":4},{"info":"compute binary expreesion, left_input=5400, right_input=4128, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5400","layer":3},{"info":"compute binary expreesion, left_input=-15740, right_input=5400, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":1},{"info":"number node, value=1864","layer":4},{"info":"number node, value=1294","layer":4},{"info":"compute binary expreesion, left_input=1864, right_input=1294, 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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=531","layer":2},{"info":"number node, value=2054","layer":4},{"info":"number node, value=1400","layer":4},{"info":"compute binary expreesion, left_input=2054, right_input=1400, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=1410","layer":3},{"info":"number node, value=6504","layer":4},{"info":"number node, value=2672","layer":4},{"info":"compute binary expreesion, left_input=6504, right_input=2672, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2672","layer":3},{"info":"compute binary expreesion, left_input=1410, right_input=2672, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=2529","layer":2},{"info":"compute binary expreesion, left_input=531, right_input=2529, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1998","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1998, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":0}],"base":11,"result_base":11,"text":"(∥⊫(↩⋰*⋻1815)⨟⋌⩍(⋰*⋻406A⋝⋈⪟⋰*⋻3113))⋓((≉(⋰*⋻1445∲⫓⋰*⋻A77))⨳⩥⨓((⋰*⋻15A8⪨≂⋰*⋻1063)⊭↱⋰*⋻4983⨎⋰*⋻200A))=⋰*⋻0","reverse_text":"⋰*⋻0=(∥⊫(↩⋰*⋻1815)⨟⋌⩍(⋰*⋻406A⋝⋈⪟⋰*⋻3113))⋓((≉(⋰*⋻1445∲⫓⋰*⋻A77))⨳⩥⨓((⋰*⋻15A8⪨≂⋰*⋻1063)⊭↱⋰*⋻4983⨎⋰*⋻200A))","cot":[{"info":"↩⋰*⋻1815=⋰*⋻-1090A","layer":3},{"info":"⋰*⋻406A⋝⋈⪟⋰*⋻3113=⋰*⋻406A","layer":3},{"info":"⋰*⋻-1090A⨟⋌⩍⋰*⋻406A=NaN","layer":2},{"info":"∥⊫NaN=NaN","layer":1},{"info":"⋰*⋻1445∲⫓⋰*⋻A77=⋰*⋻0","layer":3},{"info":"≉⋰*⋻0=⋰*⋻443","layer":2},{"info":"⋰*⋻15A8⪨≂⋰*⋻1063=⋰*⋻1072","layer":3},{"info":"⋰*⋻4983⨎⋰*⋻200A=⋰*⋻200A","layer":3},{"info":"⋰*⋻1072⊭↱⋰*⋻200A=⋰*⋻199A","layer":2},{"info":"⋰*⋻443⨳⩥⨓⋰*⋻199A=⋰*⋻1557","layer":1},{"info":"NaN⋓⋰*⋻1557=⋰*⋻0","layer":0}]}
{"id":652,"expression_no_base_symbol":"((⩦⩻⨪$3242$⊴$4016$)%(⊙↵-$1144$)⋝⋈⪟$1925$⪘⫢$8079$)⩨(($5193$⊭↱$5837$⋷$1599$⩨$6920$)≋⫹)","expression":"((⩦⩻⨪⋰*⋻2488⊴⋰*⋻3021)%(⊙↵-⋰*⋻950)⋝⋈⪟⋰*⋻14A0⪘⫢⋰*⋻6085)⩨((⋰*⋻39A1⊭↱⋰*⋻4427⋷⋰*⋻1224⩨⋰*⋻5221)≋⫹)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5257,"operation_count":11,"complexity_ratio":477.90909090909093,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3242,"base":11},"right_expr":{"type":"numeric_atoms","value":4016,"base":11}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1144,"base":11}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1925,"base":11},"right_expr":{"type":"numeric_atoms","value":8079,"base":11}}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":5193,"base":11},"right_expr":{"type":"numeric_atoms","value":5837,"base":11}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1599,"base":11},"right_expr":{"type":"numeric_atoms","value":6920,"base":11}}}}},"used_operators":["2DlMacCsIx","k8jYdgA6NY","2td37pGCOC","Nsiff2A1zJ","2DDjHMKMc0","oWn0xqSxBt","oacrs7FA3X","N41Kp7NANJ","23Mk6UjR3U","COABgblf1C"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3242","layer":4},{"info":"number node, value=4016","layer":4},{"info":"compute binary expreesion, left_input=3242, right_input=4016, 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=1144","layer":4},{"info":"compute unary expreesion, input=1144, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=1925","layer":4},{"info":"number node, value=8079","layer":4},{"info":"compute binary expreesion, left_input=1925, right_input=8079, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3726","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=3726, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', 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":"number node, value=5193","layer":4},{"info":"number node, value=5837","layer":4},{"info":"compute binary expreesion, left_input=5193, right_input=5837, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=1293","layer":3},{"info":"number node, value=1599","layer":4},{"info":"number node, value=6920","layer":4},{"info":"compute binary expreesion, left_input=1599, right_input=6920, 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=1293, right_input=-12, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-1317","layer":2},{"info":"compute unary expreesion, input=-1317, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=2634","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2634, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⩦⩻⨪⋰*⋻2488⊴⋰*⋻3021)%(⊙↵-⋰*⋻950)⋝⋈⪟⋰*⋻14A0⪘⫢⋰*⋻6085)⩨((⋰*⋻39A1⊭↱⋰*⋻4427⋷⋰*⋻1224⩨⋰*⋻5221)≋⫹)=NaN","reverse_text":"NaN=((⩦⩻⨪⋰*⋻2488⊴⋰*⋻3021)%(⊙↵-⋰*⋻950)⋝⋈⪟⋰*⋻14A0⪘⫢⋰*⋻6085)⩨((⋰*⋻39A1⊭↱⋰*⋻4427⋷⋰*⋻1224⩨⋰*⋻5221)≋⫹)","cot":[{"info":"⋰*⋻2488⊴⋰*⋻3021=NaN","layer":3},{"info":"⩦⩻⨪NaN=NaN","layer":2},{"info":"⊙↵-⋰*⋻950=⋰*⋻-1","layer":3},{"info":"⋰*⋻14A0⪘⫢⋰*⋻6085=⋰*⋻2888","layer":3},{"info":"⋰*⋻-1⋝⋈⪟⋰*⋻2888=⋰*⋻-1","layer":2},{"info":"NaN%⋰*⋻-1=NaN","layer":1},{"info":"⋰*⋻39A1⊭↱⋰*⋻4427=⋰*⋻A76","layer":3},{"info":"⋰*⋻1224⩨⋰*⋻5221=⋰*⋻-11","layer":3},{"info":"⋰*⋻A76⋷⋰*⋻-11=⋰*⋻-A98","layer":2},{"info":"⋰*⋻-A98≋⫹=⋰*⋻1A85","layer":1},{"info":"NaN⩨⋰*⋻1A85=NaN","layer":0}]}
{"id":653,"expression_no_base_symbol":"((⫛⫱⨽($2476$⨪↰⇹$1902$))⨵⪆$4926$+⇶⊼$2437$↙(≉$5723$))⪐","expression":"((⫛⫱⨽(⋰*⋻1951⨪↰⇹⋰*⋻147A))⨵⪆⋰*⋻3779+⇶⊼⋰*⋻1916↙(≉⋰*⋻4333))⪐","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3905,"operation_count":7,"complexity_ratio":557.8571428571429,"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":2476,"base":11},"right_expr":{"type":"numeric_atoms","value":1902,"base":11}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4926,"base":11},"right_expr":{"type":"numeric_atoms","value":2437,"base":11}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":5723,"base":11}}}}},"used_operators":["eH2TOUuTDT","2DQ55sFlQl","DlLNRPXxWL","tmPS8pqC7x","yyfyN0ffXY","TpPTUOHfaN","e1ybzncUwg"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","rJVOvQCfKK","tmPS8pqC7x","DpFCA1CohY","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻271","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=2476","layer":4},{"info":"number node, value=1902","layer":4},{"info":"compute binary expreesion, left_input=2476, right_input=1902, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2476","layer":3},{"info":"compute unary expreesion, input=2476, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"number node, value=4926","layer":4},{"info":"number node, value=2437","layer":4},{"info":"compute binary expreesion, left_input=4926, right_input=2437, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=5723","layer":4},{"info":"compute unary expreesion, input=5723, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=6254","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6254, 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=0, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=320","layer":0}],"base":11,"result_base":11,"text":"((⫛⫱⨽(⋰*⋻1951⨪↰⇹⋰*⋻147A))⨵⪆⋰*⋻3779+⇶⊼⋰*⋻1916↙(≉⋰*⋻4333))⪐=⋰*⋻271","reverse_text":"⋰*⋻271=((⫛⫱⨽(⋰*⋻1951⨪↰⇹⋰*⋻147A))⨵⪆⋰*⋻3779+⇶⊼⋰*⋻1916↙(≉⋰*⋻4333))⪐","cot":[{"info":"⋰*⋻1951⨪↰⇹⋰*⋻147A=⋰*⋻1951","layer":3},{"info":"⫛⫱⨽⋰*⋻1951=⋰*⋻0","layer":2},{"info":"⋰*⋻3779+⇶⊼⋰*⋻1916=NaN","layer":3},{"info":"≉⋰*⋻4333=⋰*⋻4776","layer":3},{"info":"NaN↙⋰*⋻4776=NaN","layer":2},{"info":"⋰*⋻0⨵⪆NaN=⋰*⋻136","layer":1},{"info":"⋰*⋻136⪐=⋰*⋻271","layer":0}]}
{"id":654,"expression_no_base_symbol":"($3123$⋓$1235$*($2151$⊉≛↸$4986$))⪮%⊝(($5552$⨁⊸⫻)*(↽≂$1590$))⨽(⋗⩬⋾($5520$⪒$1030$))≹⇙⪍(($1231$≋⫹)⋷$6885$⋓$3063$)","expression":"(⋰*⋻238A⋓⋰*⋻A23*(⋰*⋻1686⊉≛↸⋰*⋻3823))⪮%⊝((⋰*⋻4198⨁⊸⫻)*(↽≂⋰*⋻1216))⨽(⋗⩬⋾(⋰*⋻4169⪒⋰*⋻857))≹⇙⪍((⋰*⋻A1A≋⫹)⋷⋰*⋻519A⋓⋰*⋻2335)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3559,"operation_count":14,"complexity_ratio":254.21428571428572,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3123,"base":11},"right_expr":{"type":"numeric_atoms","value":1235,"base":11}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2151,"base":11},"right_expr":{"type":"numeric_atoms","value":4986,"base":11}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":5552,"base":11}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1590,"base":11}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":5520,"base":11},"right_expr":{"type":"numeric_atoms","value":1030,"base":11}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1231,"base":11}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":6885,"base":11},"right_expr":{"type":"numeric_atoms","value":3063,"base":11}}}}},"used_operators":["8HhzD0ZcuI","IWmyXbctLI","9HNa5Wba9A","T2fj7uvVaJ","DZ8iAZOCBD","glklzrTFfD","u6S6b8DprG","AHs5Up7iyr","DpFCA1CohY","f6k1SAg4EE","23Mk6UjR3U","N41Kp7NANJ"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3123","layer":4},{"info":"number node, value=1235","layer":4},{"info":"compute binary expreesion, left_input=3123, right_input=1235, op_id = T2fj7uvVaJ binary_op_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=2151","layer":4},{"info":"number node, value=4986","layer":4},{"info":"compute binary expreesion, left_input=2151, right_input=4986, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4302","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4302, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=5552","layer":4},{"info":"compute unary expreesion, input=5552, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=5552","layer":3},{"info":"number node, value=1590","layer":4},{"info":"compute unary expreesion, input=1590, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-3180","layer":3},{"info":"compute binary expreesion, left_input=5552, right_input=-3180, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-17655360","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-17655360, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=316","layer":1},{"info":"number node, value=5520","layer":4},{"info":"number node, value=1030","layer":4},{"info":"compute binary expreesion, left_input=5520, right_input=1030, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6550","layer":3},{"info":"compute unary expreesion, input=-6550, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=19650","layer":2},{"info":"number node, value=1231","layer":4},{"info":"compute unary expreesion, input=1231, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2462","layer":3},{"info":"number node, value=6885","layer":4},{"info":"number node, value=3063","layer":4},{"info":"compute binary expreesion, left_input=6885, right_input=3063, op_id = T2fj7uvVaJ binary_op_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=-2462, right_input=0, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=4924","layer":2},{"info":"compute binary expreesion, left_input=19650, right_input=4924, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=316, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻238A⋓⋰*⋻A23*(⋰*⋻1686⊉≛↸⋰*⋻3823))⪮%⊝((⋰*⋻4198⨁⊸⫻)*(↽≂⋰*⋻1216))⨽(⋗⩬⋾(⋰*⋻4169⪒⋰*⋻857))≹⇙⪍((⋰*⋻A1A≋⫹)⋷⋰*⋻519A⋓⋰*⋻2335)=NaN","reverse_text":"NaN=(⋰*⋻238A⋓⋰*⋻A23*(⋰*⋻1686⊉≛↸⋰*⋻3823))⪮%⊝((⋰*⋻4198⨁⊸⫻)*(↽≂⋰*⋻1216))⨽(⋗⩬⋾(⋰*⋻4169⪒⋰*⋻857))≹⇙⪍((⋰*⋻A1A≋⫹)⋷⋰*⋻519A⋓⋰*⋻2335)","cot":[{"info":"⋰*⋻238A⋓⋰*⋻A23=⋰*⋻0","layer":3},{"info":"⋰*⋻1686⊉≛↸⋰*⋻3823=⋰*⋻3261","layer":3},{"info":"⋰*⋻0*⋰*⋻3261=⋰*⋻0","layer":2},{"info":"⋰*⋻4198⨁⊸⫻=⋰*⋻4198","layer":3},{"info":"↽≂⋰*⋻1216=⋰*⋻-2431","layer":3},{"info":"⋰*⋻4198*⋰*⋻-2431=⋰*⋻-9A69808","layer":2},{"info":"⋰*⋻0⪮%⊝⋰*⋻-9A69808=⋰*⋻268","layer":1},{"info":"⋰*⋻4169⪒⋰*⋻857=⋰*⋻-4A15","layer":3},{"info":"⋗⩬⋾⋰*⋻-4A15=⋰*⋻13844","layer":2},{"info":"⋰*⋻A1A≋⫹=⋰*⋻-1939","layer":3},{"info":"⋰*⋻519A⋓⋰*⋻2335=⋰*⋻0","layer":3},{"info":"⋰*⋻-1939⋷⋰*⋻0=⋰*⋻3777","layer":2},{"info":"⋰*⋻13844≹⇙⪍⋰*⋻3777=NaN","layer":1},{"info":"⋰*⋻268⨽NaN=NaN","layer":0}]}
{"id":655,"expression_no_base_symbol":"⨵≀≌(($6845$⊭↱$2589$)⪢(⨰⫟⨤$2308$)⨵⪆$5937$⋓$4903$⨸⪁$1031$↬$1235$)","expression":"⨵≀≌((⋰*⋻5163⊭↱⋰*⋻1A44)⪢(⨰⫟⨤⋰*⋻1809)⨵⪆⋰*⋻4508⋓⋰*⋻3758⨸⪁⋰*⋻858↬⋰*⋻A23)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":8580,"operation_count":8,"complexity_ratio":1072.5,"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":6845,"base":11},"right_expr":{"type":"numeric_atoms","value":2589,"base":11}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2308,"base":11}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":5937,"base":11},"right_expr":{"type":"numeric_atoms","value":4903,"base":11}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1031,"base":11},"right_expr":{"type":"numeric_atoms","value":1235,"base":11}}}}},"used_operators":["srAu1WTS94","2DQ55sFlQl","dWAJyo7jo9","COABgblf1C","Tw270M8GLb","g55IO6H4Gj","T2fj7uvVaJ","B5M0gjZbta"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rGHVDoGpnC"],"result":"⋰*⋻18263","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6845","layer":4},{"info":"number node, value=2589","layer":4},{"info":"compute binary expreesion, left_input=6845, right_input=2589, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-8507","layer":3},{"info":"number node, value=2308","layer":4},{"info":"compute unary expreesion, input=2308, 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=-8507, 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=5937","layer":4},{"info":"number node, value=4903","layer":4},{"info":"compute binary expreesion, left_input=5937, right_input=4903, op_id = T2fj7uvVaJ binary_op_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=1031","layer":4},{"info":"number node, value=1235","layer":4},{"info":"compute binary expreesion, left_input=1031, right_input=1235, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=25600","layer":0}],"base":11,"result_base":11,"text":"⨵≀≌((⋰*⋻5163⊭↱⋰*⋻1A44)⪢(⨰⫟⨤⋰*⋻1809)⨵⪆⋰*⋻4508⋓⋰*⋻3758⨸⪁⋰*⋻858↬⋰*⋻A23)=⋰*⋻18263","reverse_text":"⋰*⋻18263=⨵≀≌((⋰*⋻5163⊭↱⋰*⋻1A44)⪢(⨰⫟⨤⋰*⋻1809)⨵⪆⋰*⋻4508⋓⋰*⋻3758⨸⪁⋰*⋻858↬⋰*⋻A23)","cot":[{"info":"⋰*⋻5163⊭↱⋰*⋻1A44=⋰*⋻-6434","layer":3},{"info":"⨰⫟⨤⋰*⋻1809=NaN","layer":3},{"info":"⋰*⋻-6434⪢NaN=NaN","layer":2},{"info":"⋰*⋻4508⋓⋰*⋻3758=⋰*⋻0","layer":3},{"info":"⋰*⋻858↬⋰*⋻A23=NaN","layer":3},{"info":"⋰*⋻0⨸⪁NaN=NaN","layer":2},{"info":"NaN⨵⪆NaN=⋰*⋻136","layer":1},{"info":"⨵≀≌⋰*⋻136=⋰*⋻18263","layer":0}]}
{"id":656,"expression_no_base_symbol":"(($4139$⨰$2471$)⨪↰⇹($8283$≦≮≮)⩚⊴⇥($4034$≎⊠⪸$2195$)∼($3963$⪘⫢$1007$))∼((↥$3823$⊴$1254$)*($1848$⫸⊐$1709$)⋝⋈⪟$4830$⨪↰⇹$1254$)","expression":"((⋰*⋻3123⨰⋰*⋻1947)⨪↰⇹(⋰*⋻6250≦≮≮)⩚⊴⇥(⋰*⋻3038≎⊠⪸⋰*⋻1716)∼(⋰*⋻2A83⪘⫢⋰*⋻836))∼((↥⋰*⋻2966⊴⋰*⋻A40)*(⋰*⋻1430⫸⊐⋰*⋻1314)⋝⋈⪟⋰*⋻36A1⨪↰⇹⋰*⋻A40)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":34207,"operation_count":14,"complexity_ratio":2443.3571428571427,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4139,"base":11},"right_expr":{"type":"numeric_atoms","value":2471,"base":11}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":8283,"base":11}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4034,"base":11},"right_expr":{"type":"numeric_atoms","value":2195,"base":11}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3963,"base":11},"right_expr":{"type":"numeric_atoms","value":1007,"base":11}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3823,"base":11},"right_expr":{"type":"numeric_atoms","value":1254,"base":11}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1848,"base":11},"right_expr":{"type":"numeric_atoms","value":1709,"base":11}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4830,"base":11},"right_expr":{"type":"numeric_atoms","value":1254,"base":11}}}}},"used_operators":["DyGG3AbaNP","NTOWxs364D","tmPS8pqC7x","eewbuw0ToL","D4vGDi5EA2","bJkvcejdHO","oacrs7FA3X","9HNa5Wba9A","A8NUZmVepG","Nsiff2A1zJ","2DDjHMKMc0","mqXw5SEYmG"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","k8jYdgA6NY","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4139","layer":4},{"info":"number node, value=2471","layer":4},{"info":"compute binary expreesion, left_input=4139, right_input=2471, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1678","layer":3},{"info":"number node, value=8283","layer":4},{"info":"compute unary expreesion, input=8283, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-24849","layer":3},{"info":"compute binary expreesion, left_input=1678, right_input=-24849, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1678","layer":2},{"info":"number node, value=4034","layer":4},{"info":"number node, value=2195","layer":4},{"info":"compute binary expreesion, left_input=4034, right_input=2195, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1044333","layer":3},{"info":"number node, value=3963","layer":4},{"info":"number node, value=1007","layer":4},{"info":"compute binary expreesion, left_input=3963, right_input=1007, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=7802","layer":3},{"info":"compute binary expreesion, left_input=1044333, right_input=7802, 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=1678, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"number node, value=3823","layer":4},{"info":"number node, value=1254","layer":4},{"info":"compute binary expreesion, left_input=3823, right_input=1254, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', 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=1848","layer":4},{"info":"number node, value=1709","layer":4},{"info":"compute binary expreesion, left_input=1848, right_input=1709, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6711","layer":3},{"info":"number node, value=4830","layer":4},{"info":"number node, value=1254","layer":4},{"info":"compute binary expreesion, left_input=4830, right_input=1254, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=4830","layer":3},{"info":"compute binary expreesion, left_input=6711, right_input=4830, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6711","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=6711, op_id = 9HNa5Wba9A binary_op_definition= 'None', 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":11,"result_base":11,"text":"((⋰*⋻3123⨰⋰*⋻1947)⨪↰⇹(⋰*⋻6250≦≮≮)⩚⊴⇥(⋰*⋻3038≎⊠⪸⋰*⋻1716)∼(⋰*⋻2A83⪘⫢⋰*⋻836))∼((↥⋰*⋻2966⊴⋰*⋻A40)*(⋰*⋻1430⫸⊐⋰*⋻1314)⋝⋈⪟⋰*⋻36A1⨪↰⇹⋰*⋻A40)=NaN","reverse_text":"NaN=((⋰*⋻3123⨰⋰*⋻1947)⨪↰⇹(⋰*⋻6250≦≮≮)⩚⊴⇥(⋰*⋻3038≎⊠⪸⋰*⋻1716)∼(⋰*⋻2A83⪘⫢⋰*⋻836))∼((↥⋰*⋻2966⊴⋰*⋻A40)*(⋰*⋻1430⫸⊐⋰*⋻1314)⋝⋈⪟⋰*⋻36A1⨪↰⇹⋰*⋻A40)","cot":[{"info":"⋰*⋻3123⨰⋰*⋻1947=⋰*⋻1296","layer":3},{"info":"⋰*⋻6250≦≮≮=⋰*⋻-17740","layer":3},{"info":"⋰*⋻1296⨪↰⇹⋰*⋻-17740=⋰*⋻1296","layer":2},{"info":"⋰*⋻3038≎⊠⪸⋰*⋻1716=⋰*⋻653694","layer":3},{"info":"⋰*⋻2A83⪘⫢⋰*⋻836=⋰*⋻5953","layer":3},{"info":"⋰*⋻653694∼⋰*⋻5953=NaN","layer":2},{"info":"⋰*⋻1296⩚⊴⇥NaN=NaN","layer":1},{"info":"⋰*⋻2966⊴⋰*⋻A40=NaN","layer":3},{"info":"↥NaN=NaN","layer":2},{"info":"⋰*⋻1430⫸⊐⋰*⋻1314=⋰*⋻5051","layer":3},{"info":"⋰*⋻36A1⨪↰⇹⋰*⋻A40=⋰*⋻36A1","layer":3},{"info":"⋰*⋻5051⋝⋈⪟⋰*⋻36A1=⋰*⋻5051","layer":2},{"info":"NaN*⋰*⋻5051=NaN","layer":1},{"info":"NaN∼NaN=NaN","layer":0}]}
{"id":657,"expression_no_base_symbol":"((($5873$≫≃)↺($5658$⇼⇔∾$1369$))⫩⊇)⪄(≤/(≦∁($2622$⋫)))","expression":"(((⋰*⋻445A≫≃)↺(⋰*⋻4284⇼⇔∾⋰*⋻1035))⫩⊇)⪄(≤/(≦∁(⋰*⋻1A74⋫)))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2731,"operation_count":8,"complexity_ratio":341.375,"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":5873,"base":11}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":5658,"base":11},"right_expr":{"type":"numeric_atoms","value":1369,"base":11}}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":2622,"base":11}}}}},"used_operators":["SUmda5xLS4","BjRHVeLaeN","7j4O788W3g","X99M06cbEe","tifHPKVTfV","eLAdDNolq6","9ICcGScMcE","JL8yIekQnl"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","tmPS8pqC7x"],"result":"⋰*⋻-39A247","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5873","layer":4},{"info":"compute unary expreesion, input=5873, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=13147","layer":3},{"info":"number node, value=5658","layer":4},{"info":"number node, value=1369","layer":4},{"info":"compute binary expreesion, left_input=5658, right_input=1369, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-4289","layer":3},{"info":"compute binary expreesion, left_input=13147, right_input=-4289, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-4289","layer":2},{"info":"compute unary expreesion, input=-4289, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=4331","layer":1},{"info":"number node, value=2622","layer":4},{"info":"compute unary expreesion, input=2622, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=2622","layer":3},{"info":"compute unary expreesion, input=2622, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2622","layer":2},{"info":"compute unary expreesion, input=2622, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2138","layer":1},{"info":"compute binary expreesion, left_input=4331, right_input=-2138, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-628525","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻445A≫≃)↺(⋰*⋻4284⇼⇔∾⋰*⋻1035))⫩⊇)⪄(≤/(≦∁(⋰*⋻1A74⋫)))=⋰*⋻-39A247","reverse_text":"⋰*⋻-39A247=(((⋰*⋻445A≫≃)↺(⋰*⋻4284⇼⇔∾⋰*⋻1035))⫩⊇)⪄(≤/(≦∁(⋰*⋻1A74⋫)))","cot":[{"info":"⋰*⋻445A≫≃=⋰*⋻9972","layer":3},{"info":"⋰*⋻4284⇼⇔∾⋰*⋻1035=⋰*⋻-324A","layer":3},{"info":"⋰*⋻9972↺⋰*⋻-324A=⋰*⋻-324A","layer":2},{"info":"⋰*⋻-324A⫩⊇=⋰*⋻3288","layer":1},{"info":"⋰*⋻1A74⋫=⋰*⋻1A74","layer":3},{"info":"≦∁⋰*⋻1A74=⋰*⋻1A74","layer":2},{"info":"≤/⋰*⋻1A74=⋰*⋻-1674","layer":1},{"info":"⋰*⋻3288⪄⋰*⋻-1674=⋰*⋻-39A247","layer":0}]}
{"id":658,"expression_no_base_symbol":"($8862$⪛$6301$∲⫓$4949$⪄$2424$)⨟⋌⩍((-$1420$)⋫)↺(($4158$⪨≂$2166$)⫩⊇)≭($1803$⊪)≧⫂∧(∥⊫$1504$)","expression":"(⋰*⋻6727⪛⋰*⋻4809∲⫓⋰*⋻379A⪄⋰*⋻1904)⨟⋌⩍((-⋰*⋻1081)⋫)↺((⋰*⋻3140⪨≂⋰*⋻169A)⫩⊇)≭(⋰*⋻139A⊪)≧⫂∧(∥⊫⋰*⋻1148)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1570,"operation_count":13,"complexity_ratio":120.76923076923077,"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":8862,"base":11},"right_expr":{"type":"numeric_atoms","value":6301,"base":11}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4949,"base":11},"right_expr":{"type":"numeric_atoms","value":2424,"base":11}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1420,"base":11}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4158,"base":11},"right_expr":{"type":"numeric_atoms","value":2166,"base":11}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":1803,"base":11}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1504,"base":11}}}}},"used_operators":["7j4O788W3g","rGHVDoGpnC","i8ToyICDmI","uFcxV4UQCh","SUmda5xLS4","JL8yIekQnl","t8gj7n24qd","rxpJgHHUmx","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","zVYPLywUTj","P8v4zCKN1o"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","tmPS8pqC7x","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=8862","layer":4},{"info":"number node, value=6301","layer":4},{"info":"compute binary expreesion, left_input=8862, right_input=6301, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2561","layer":3},{"info":"number node, value=4949","layer":4},{"info":"number node, value=2424","layer":4},{"info":"compute binary expreesion, left_input=4949, right_input=2424, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-738237","layer":3},{"info":"compute binary expreesion, left_input=2561, right_input=-738237, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=2561","layer":2},{"info":"number node, value=1420","layer":4},{"info":"compute unary expreesion, input=1420, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1420","layer":3},{"info":"compute unary expreesion, input=-1420, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=-1420","layer":2},{"info":"compute binary expreesion, left_input=2561, right_input=-1420, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=4158","layer":4},{"info":"number node, value=2166","layer":4},{"info":"compute binary expreesion, left_input=4158, right_input=2166, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=4086","layer":3},{"info":"compute unary expreesion, input=4086, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-4044","layer":2},{"info":"number node, value=1803","layer":4},{"info":"compute unary expreesion, input=1803, 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=1504","layer":4},{"info":"compute unary expreesion, input=1504, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2372","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2372, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1899","layer":2},{"info":"compute binary expreesion, left_input=-4044, 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":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻6727⪛⋰*⋻4809∲⫓⋰*⋻379A⪄⋰*⋻1904)⨟⋌⩍((-⋰*⋻1081)⋫)↺((⋰*⋻3140⪨≂⋰*⋻169A)⫩⊇)≭(⋰*⋻139A⊪)≧⫂∧(∥⊫⋰*⋻1148)=NaN","reverse_text":"NaN=(⋰*⋻6727⪛⋰*⋻4809∲⫓⋰*⋻379A⪄⋰*⋻1904)⨟⋌⩍((-⋰*⋻1081)⋫)↺((⋰*⋻3140⪨≂⋰*⋻169A)⫩⊇)≭(⋰*⋻139A⊪)≧⫂∧(∥⊫⋰*⋻1148)","cot":[{"info":"⋰*⋻6727⪛⋰*⋻4809=⋰*⋻1A19","layer":3},{"info":"⋰*⋻379A⪄⋰*⋻1904=⋰*⋻-464715","layer":3},{"info":"⋰*⋻1A19∲⫓⋰*⋻-464715=⋰*⋻1A19","layer":2},{"info":"-⋰*⋻1081=⋰*⋻-1081","layer":3},{"info":"⋰*⋻-1081⋫=⋰*⋻-1081","layer":2},{"info":"⋰*⋻1A19⨟⋌⩍⋰*⋻-1081=NaN","layer":1},{"info":"⋰*⋻3140⪨≂⋰*⋻169A=⋰*⋻3085","layer":3},{"info":"⋰*⋻3085⫩⊇=⋰*⋻-3047","layer":2},{"info":"⋰*⋻139A⊪=⋰*⋻0","layer":3},{"info":"∥⊫⋰*⋻1148=⋰*⋻1867","layer":3},{"info":"⋰*⋻0≧⫂∧⋰*⋻1867=⋰*⋻1477","layer":2},{"info":"⋰*⋻-3047≭⋰*⋻1477=NaN","layer":1},{"info":"NaN↺NaN=NaN","layer":0}]}
{"id":659,"expression_no_base_symbol":"↥((⨰⫟⨤$2187$)⨸⪁($5307$⊠≄⫣))⩚⊴⇥((⨞⊢$6674$)≦≮≮)","expression":"↥((⨰⫟⨤⋰*⋻1709)⨸⪁(⋰*⋻3A95⊠≄⫣))⩚⊴⇥((⨞⊢⋰*⋻5018)≦≮≮)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":7923,"operation_count":7,"complexity_ratio":1131.857142857143,"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":2187,"base":11}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":5307,"base":11}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":6674,"base":11}}}}},"used_operators":["A8NUZmVepG","NTOWxs364D","g55IO6H4Gj","Tw270M8GLb","DIvbN7qnHd","D4vGDi5EA2","xUOZtlo3hN"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2187","layer":4},{"info":"compute unary expreesion, input=2187, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=5307","layer":4},{"info":"compute unary expreesion, input=5307, 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 = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"number node, value=6674","layer":4},{"info":"compute unary expreesion, input=6674, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-6848","layer":3},{"info":"compute unary expreesion, input=-6848, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=20544","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=20544, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"↥((⨰⫟⨤⋰*⋻1709)⨸⪁(⋰*⋻3A95⊠≄⫣))⩚⊴⇥((⨞⊢⋰*⋻5018)≦≮≮)=NaN","reverse_text":"NaN=↥((⨰⫟⨤⋰*⋻1709)⨸⪁(⋰*⋻3A95⊠≄⫣))⩚⊴⇥((⨞⊢⋰*⋻5018)≦≮≮)","cot":[{"info":"⨰⫟⨤⋰*⋻1709=NaN","layer":3},{"info":"⋰*⋻3A95⊠≄⫣=⋰*⋻0","layer":3},{"info":"NaN⨸⪁⋰*⋻0=NaN","layer":2},{"info":"⨞⊢⋰*⋻5018=⋰*⋻-5166","layer":3},{"info":"⋰*⋻-5166≦≮≮=⋰*⋻14487","layer":2},{"info":"NaN⩚⊴⇥⋰*⋻14487=NaN","layer":1},{"info":"↥NaN=NaN","layer":0}]}
{"id":660,"expression_no_base_symbol":"($1624$↙$1581$)≧⫂∧(⪲⇎$1578$)⨐⩸⫘($4060$⨳⩥⨓$2882$)≎⊠⪸($2184$⊦⊿)⪄(($6127$⫡⨏$5930$)⋥≓≎($4116$/$1054$))⨽((⩦⩻⨪$1139$)%$3101$⋓$1254$)","expression":"(⋰*⋻1247↙⋰*⋻1208)≧⫂∧(⪲⇎⋰*⋻1205)⨐⩸⫘(⋰*⋻3061⨳⩥⨓⋰*⋻2190)≎⊠⪸(⋰*⋻1706⊦⊿)⪄((⋰*⋻4670⫡⨏⋰*⋻4501)⋥≓≎(⋰*⋻3102/⋰*⋻879))⨽((⩦⩻⨪⋰*⋻946)%⋰*⋻236A⋓⋰*⋻A40)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":49867,"operation_count":15,"complexity_ratio":3324.4666666666667,"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":1624,"base":11},"right_expr":{"type":"numeric_atoms","value":1581,"base":11}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1578,"base":11}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4060,"base":11},"right_expr":{"type":"numeric_atoms","value":2882,"base":11}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":2184,"base":11}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":6127,"base":11},"right_expr":{"type":"numeric_atoms","value":5930,"base":11}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4116,"base":11},"right_expr":{"type":"numeric_atoms","value":1054,"base":11}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1139,"base":11}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3101,"base":11},"right_expr":{"type":"numeric_atoms","value":1254,"base":11}}}}},"used_operators":["SUmda5xLS4","fu6greOZ01","Ph9nP6C5qx","yyfyN0ffXY","XPYlsWDdGa","bJkvcejdHO","nCS4ZIUYfx","14qkJME0vr","8HhzD0ZcuI","Qy55tPpLXF","QMFrweE19q","XhwjNDsVaA","k8jYdgA6NY","2td37pGCOC","T2fj7uvVaJ"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⋰*⋻2A98","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1624","layer":4},{"info":"number node, value=1581","layer":4},{"info":"compute binary expreesion, left_input=1624, right_input=1581, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4743","layer":3},{"info":"number node, value=1578","layer":4},{"info":"compute unary expreesion, input=1578, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3156","layer":3},{"info":"compute binary expreesion, left_input=-4743, right_input=3156, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2683","layer":2},{"info":"number node, value=4060","layer":4},{"info":"number node, value=2882","layer":4},{"info":"compute binary expreesion, left_input=4060, right_input=2882, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1178","layer":3},{"info":"number node, value=2184","layer":4},{"info":"compute unary expreesion, input=2184, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-6631","layer":3},{"info":"compute binary expreesion, left_input=-1178, right_input=-6631, 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=2683, right_input=67, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-70","layer":1},{"info":"number node, value=6127","layer":4},{"info":"number node, value=5930","layer":4},{"info":"compute binary expreesion, left_input=6127, right_input=5930, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=43278","layer":3},{"info":"number node, value=4116","layer":4},{"info":"number node, value=1054","layer":4},{"info":"compute binary expreesion, left_input=4116, right_input=1054, op_id = XhwjNDsVaA binary_op_definition= 'None', output=3","layer":3},{"info":"compute binary expreesion, left_input=43278, right_input=3, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-43239","layer":2},{"info":"number node, value=1139","layer":4},{"info":"compute unary expreesion, input=1139, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1139","layer":3},{"info":"number node, value=3101","layer":4},{"info":"number node, value=1254","layer":4},{"info":"compute binary expreesion, left_input=3101, right_input=1254, op_id = T2fj7uvVaJ binary_op_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=1139, right_input=0, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-43239, 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=-70, 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":11,"result_base":11,"text":"(⋰*⋻1247↙⋰*⋻1208)≧⫂∧(⪲⇎⋰*⋻1205)⨐⩸⫘(⋰*⋻3061⨳⩥⨓⋰*⋻2190)≎⊠⪸(⋰*⋻1706⊦⊿)⪄((⋰*⋻4670⫡⨏⋰*⋻4501)⋥≓≎(⋰*⋻3102/⋰*⋻879))⨽((⩦⩻⨪⋰*⋻946)%⋰*⋻236A⋓⋰*⋻A40)=⋰*⋻2A98","reverse_text":"⋰*⋻2A98=(⋰*⋻1247↙⋰*⋻1208)≧⫂∧(⪲⇎⋰*⋻1205)⨐⩸⫘(⋰*⋻3061⨳⩥⨓⋰*⋻2190)≎⊠⪸(⋰*⋻1706⊦⊿)⪄((⋰*⋻4670⫡⨏⋰*⋻4501)⋥≓≎(⋰*⋻3102/⋰*⋻879))⨽((⩦⩻⨪⋰*⋻946)%⋰*⋻236A⋓⋰*⋻A40)","cot":[{"info":"⋰*⋻1247↙⋰*⋻1208=⋰*⋻-3622","layer":3},{"info":"⪲⇎⋰*⋻1205=⋰*⋻240A","layer":3},{"info":"⋰*⋻-3622≧⫂∧⋰*⋻240A=⋰*⋻201A","layer":2},{"info":"⋰*⋻3061⨳⩥⨓⋰*⋻2190=⋰*⋻-981","layer":3},{"info":"⋰*⋻1706⊦⊿=⋰*⋻-4A89","layer":3},{"info":"⋰*⋻-981≎⊠⪸⋰*⋻-4A89=⋰*⋻61","layer":2},{"info":"⋰*⋻201A⨐⩸⫘⋰*⋻61=⋰*⋻-64","layer":1},{"info":"⋰*⋻4670⫡⨏⋰*⋻4501=⋰*⋻2A574","layer":3},{"info":"⋰*⋻3102/⋰*⋻879=⋰*⋻3","layer":3},{"info":"⋰*⋻2A574⋥≓≎⋰*⋻3=⋰*⋻-2A539","layer":2},{"info":"⩦⩻⨪⋰*⋻946=⋰*⋻946","layer":3},{"info":"⋰*⋻236A⋓⋰*⋻A40=⋰*⋻0","layer":3},{"info":"⋰*⋻946%⋰*⋻0=NaN","layer":2},{"info":"⋰*⋻-2A539⨽NaN=NaN","layer":1},{"info":"⋰*⋻-64⪄NaN=⋰*⋻2A98","layer":0}]}
{"id":661,"expression_no_base_symbol":"(≉(≤/$1830$↙$1176$))⋳⪒(⊥(⊥($5505$∼$1491$)))","expression":"(≉(≤/⋰*⋻1414↙⋰*⋻97A))⋳⪒(⊥(⊥(⋰*⋻4155∼⋰*⋻1136)))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1300,"operation_count":7,"complexity_ratio":185.71428571428572,"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":1830,"base":11},"right_expr":{"type":"numeric_atoms","value":1176,"base":11}}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5505,"base":11},"right_expr":{"type":"numeric_atoms","value":1491,"base":11}}}}},"used_operators":["12rbrZMWeM","e1ybzncUwg","eLAdDNolq6","yyfyN0ffXY","Q3PJZHRvZv","DyGG3AbaNP"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","fu6greOZ01","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1830","layer":4},{"info":"number node, value=1176","layer":4},{"info":"compute binary expreesion, left_input=1830, right_input=1176, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3528","layer":3},{"info":"compute unary expreesion, input=-3528, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=4012","layer":2},{"info":"compute unary expreesion, input=4012, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=4543","layer":1},{"info":"number node, value=5505","layer":4},{"info":"number node, value=1491","layer":4},{"info":"compute binary expreesion, left_input=5505, right_input=1491, 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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=4543, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(≉(≤/⋰*⋻1414↙⋰*⋻97A))⋳⪒(⊥(⊥(⋰*⋻4155∼⋰*⋻1136)))=NaN","reverse_text":"NaN=(≉(≤/⋰*⋻1414↙⋰*⋻97A))⋳⪒(⊥(⊥(⋰*⋻4155∼⋰*⋻1136)))","cot":[{"info":"⋰*⋻1414↙⋰*⋻97A=⋰*⋻-2718","layer":3},{"info":"≤/⋰*⋻-2718=⋰*⋻3018","layer":2},{"info":"≉⋰*⋻3018=⋰*⋻3460","layer":1},{"info":"⋰*⋻4155∼⋰*⋻1136=NaN","layer":3},{"info":"⊥NaN=NaN","layer":2},{"info":"⊥NaN=NaN","layer":1},{"info":"⋰*⋻3460⋳⪒NaN=NaN","layer":0}]}
{"id":662,"expression_no_base_symbol":"($3439$⪘⫢$1044$⩨(↥$1287$)⨵⪆(≉($2791$⊭↱$3101$)))⨎(≉$5084$⪘⫢$1696$)⨰((⊄⩳↩$2486$)⪄($2684$⫌⩹⨱))","expression":"(⋰*⋻2647⪘⫢⋰*⋻86A⩨(↥⋰*⋻A70)⨵⪆(≉(⋰*⋻2108⊭↱⋰*⋻236A)))⨎(≉⋰*⋻3902⪘⫢⋰*⋻1302)⨰((⊄⩳↩⋰*⋻1960)⪄(⋰*⋻2020⫌⩹⨱))","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":180,"operation_count":13,"complexity_ratio":13.846153846153847,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3439,"base":11},"right_expr":{"type":"numeric_atoms","value":1044,"base":11}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1287,"base":11}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2791,"base":11},"right_expr":{"type":"numeric_atoms","value":3101,"base":11}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":5084,"base":11},"right_expr":{"type":"numeric_atoms","value":1696,"base":11}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":2486,"base":11}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":2684,"base":11}}}}},"used_operators":["rJVOvQCfKK","2DQ55sFlQl","2DlMacCsIx","oacrs7FA3X","A8NUZmVepG","e1ybzncUwg","COABgblf1C","eewbuw0ToL","SUmda5xLS4","8w2t5hMYqp","EBcxylXtPf"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"⋰*⋻4A66","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3439","layer":4},{"info":"number node, value=1044","layer":4},{"info":"compute binary expreesion, left_input=3439, right_input=1044, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6754","layer":3},{"info":"number node, value=1287","layer":4},{"info":"compute unary expreesion, input=1287, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=12","layer":3},{"info":"compute binary expreesion, left_input=6754, right_input=12, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":2},{"info":"number node, value=2791","layer":4},{"info":"number node, value=3101","layer":4},{"info":"compute binary expreesion, left_input=2791, right_input=3101, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=625","layer":3},{"info":"compute unary expreesion, input=625, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1156","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=1156, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=5084","layer":4},{"info":"number node, value=1696","layer":4},{"info":"compute binary expreesion, left_input=5084, right_input=1696, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=10044","layer":3},{"info":"compute unary expreesion, input=10044, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=10575","layer":2},{"info":"number node, value=2486","layer":4},{"info":"compute unary expreesion, input=2486, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-7458","layer":3},{"info":"number node, value=2684","layer":4},{"info":"compute unary expreesion, input=2684, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=6769","layer":3},{"info":"compute binary expreesion, left_input=-7458, right_input=6769, 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=10575, right_input=3979, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=6606","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=6606, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=6606","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻2647⪘⫢⋰*⋻86A⩨(↥⋰*⋻A70)⨵⪆(≉(⋰*⋻2108⊭↱⋰*⋻236A)))⨎(≉⋰*⋻3902⪘⫢⋰*⋻1302)⨰((⊄⩳↩⋰*⋻1960)⪄(⋰*⋻2020⫌⩹⨱))=⋰*⋻4A66","reverse_text":"⋰*⋻4A66=(⋰*⋻2647⪘⫢⋰*⋻86A⩨(↥⋰*⋻A70)⨵⪆(≉(⋰*⋻2108⊭↱⋰*⋻236A)))⨎(≉⋰*⋻3902⪘⫢⋰*⋻1302)⨰((⊄⩳↩⋰*⋻1960)⪄(⋰*⋻2020⫌⩹⨱))","cot":[{"info":"⋰*⋻2647⪘⫢⋰*⋻86A=⋰*⋻5090","layer":3},{"info":"↥⋰*⋻A70=⋰*⋻11","layer":3},{"info":"⋰*⋻5090⩨⋰*⋻11=⋰*⋻0","layer":2},{"info":"⋰*⋻2108⊭↱⋰*⋻236A=⋰*⋻519","layer":3},{"info":"≉⋰*⋻519=⋰*⋻961","layer":2},{"info":"⋰*⋻0⨵⪆⋰*⋻961=⋰*⋻136","layer":1},{"info":"⋰*⋻3902⪘⫢⋰*⋻1302=⋰*⋻7601","layer":3},{"info":"≉⋰*⋻7601=⋰*⋻7A44","layer":2},{"info":"⊄⩳↩⋰*⋻1960=⋰*⋻-5670","layer":3},{"info":"⋰*⋻2020⫌⩹⨱=⋰*⋻50A4","layer":3},{"info":"⋰*⋻-5670⪄⋰*⋻50A4=⋰*⋻2A98","layer":2},{"info":"⋰*⋻7A44⨰⋰*⋻2A98=⋰*⋻4A66","layer":1},{"info":"⋰*⋻136⨎⋰*⋻4A66=⋰*⋻4A66","layer":0}]}
{"id":663,"expression_no_base_symbol":"(($3627$∸)%$7392$⪢$1725$)⨪↰⇹(⇁⨣⪵($2086$⪨≂$1009$))≦≮≮","expression":"((⋰*⋻27A8∸)%⋰*⋻5610⪢⋰*⋻1329)⨪↰⇹(⇁⨣⪵(⋰*⋻1627⪨≂⋰*⋻838))≦≮≮","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2545,"operation_count":7,"complexity_ratio":363.57142857142856,"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":3627,"base":11}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":7392,"base":11},"right_expr":{"type":"numeric_atoms","value":1725,"base":11}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2086,"base":11},"right_expr":{"type":"numeric_atoms","value":1009,"base":11}}}}},"used_operators":["D4vGDi5EA2","tmPS8pqC7x","k8jYdgA6NY","o20kRiQErp","dWAJyo7jo9","inkyxCbjAn","sdazOOVcIp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","rysDP5nf3Z","tmPS8pqC7x","k8jYdgA6NY","B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=3627","layer":4},{"info":"compute unary expreesion, input=3627, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=7392","layer":4},{"info":"number node, value=1725","layer":4},{"info":"compute binary expreesion, left_input=7392, right_input=1725, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=177, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=2086","layer":4},{"info":"number node, value=1009","layer":4},{"info":"compute binary expreesion, left_input=2086, right_input=1009, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=2256","layer":3},{"info":"compute unary expreesion, input=2256, 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 = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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 = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻27A8∸)%⋰*⋻5610⪢⋰*⋻1329)⨪↰⇹(⇁⨣⪵(⋰*⋻1627⪨≂⋰*⋻838))≦≮≮=NaN","reverse_text":"NaN=((⋰*⋻27A8∸)%⋰*⋻5610⪢⋰*⋻1329)⨪↰⇹(⇁⨣⪵(⋰*⋻1627⪨≂⋰*⋻838))≦≮≮","cot":[{"info":"⋰*⋻27A8∸=⋰*⋻151","layer":3},{"info":"⋰*⋻5610⪢⋰*⋻1329=NaN","layer":3},{"info":"⋰*⋻151%NaN=NaN","layer":2},{"info":"⋰*⋻1627⪨≂⋰*⋻838=⋰*⋻1771","layer":3},{"info":"⇁⨣⪵⋰*⋻1771=NaN","layer":2},{"info":"NaN⨪↰⇹NaN=NaN","layer":1},{"info":"NaN≦≮≮=NaN","layer":0}]}
{"id":664,"expression_no_base_symbol":"⨰⫟⨤(($3985$⨵⪆$1778$)⪘⫢($1416$⩷∴$1124$)⫌⩹⨱)","expression":"⨰⫟⨤((⋰*⋻2AA3⨵⪆⋰*⋻1377)⪘⫢(⋰*⋻1078⩷∴⋰*⋻932)⫌⩹⨱)","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":4787,"operation_count":5,"complexity_ratio":957.4,"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":3985,"base":11},"right_expr":{"type":"numeric_atoms","value":1778,"base":11}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1416,"base":11},"right_expr":{"type":"numeric_atoms","value":1124,"base":11}}}}},"used_operators":["Tw270M8GLb","EBcxylXtPf","oacrs7FA3X","2DQ55sFlQl","9FxExcQeMw"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3985","layer":4},{"info":"number node, value=1778","layer":4},{"info":"compute binary expreesion, left_input=3985, right_input=1778, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1416","layer":4},{"info":"number node, value=1124","layer":4},{"info":"compute binary expreesion, left_input=1416, right_input=1124, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=552","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=552, 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 = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=1401","layer":1},{"info":"compute unary expreesion, input=1401, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⨰⫟⨤((⋰*⋻2AA3⨵⪆⋰*⋻1377)⪘⫢(⋰*⋻1078⩷∴⋰*⋻932)⫌⩹⨱)=NaN","reverse_text":"NaN=⨰⫟⨤((⋰*⋻2AA3⨵⪆⋰*⋻1377)⪘⫢(⋰*⋻1078⩷∴⋰*⋻932)⫌⩹⨱)","cot":[{"info":"⋰*⋻2AA3⨵⪆⋰*⋻1377=⋰*⋻136","layer":3},{"info":"⋰*⋻1078⩷∴⋰*⋻932=⋰*⋻462","layer":3},{"info":"⋰*⋻136⪘⫢⋰*⋻462=⋰*⋻0","layer":2},{"info":"⋰*⋻0⫌⩹⨱=⋰*⋻1064","layer":1},{"info":"⨰⫟⨤⋰*⋻1064=NaN","layer":0}]}
{"id":665,"expression_no_base_symbol":"((↥(+⊝⨔$2372$))⨐⩸⫘($4187$⩨$2915$)↬($1245$⫸⊐$4345$))⩷∴($1511$⪢$4021$⫥∨⫟($3657$↺$2559$)⇼⇔∾(⫓⪴$1169$⇷$1171$))","expression":"((↥(+⊝⨔⋰*⋻1867))⨐⩸⫘(⋰*⋻3167⩨⋰*⋻2210)↬(⋰*⋻A32⫸⊐⋰*⋻32A0))⩷∴(⋰*⋻1154⪢⋰*⋻3026⫥∨⫟(⋰*⋻2825↺⋰*⋻1A17)⇼⇔∾(⫓⪴⋰*⋻973⇷⋰*⋻975))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":22998,"operation_count":13,"complexity_ratio":1769.076923076923,"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":2372,"base":11}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4187,"base":11},"right_expr":{"type":"numeric_atoms","value":2915,"base":11}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1245,"base":11},"right_expr":{"type":"numeric_atoms","value":4345,"base":11}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1511,"base":11},"right_expr":{"type":"numeric_atoms","value":4021,"base":11}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3657,"base":11},"right_expr":{"type":"numeric_atoms","value":2559,"base":11}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1169,"base":11},"right_expr":{"type":"numeric_atoms","value":1171,"base":11}}}}},"used_operators":["9FxExcQeMw","fu6greOZ01","A8NUZmVepG","DhbWaqg5eL","B5M0gjZbta","2DlMacCsIx","mqXw5SEYmG","tifHPKVTfV","KYD54nUTWz","dWAJyo7jo9","7j4O788W3g","eLxqMNBOBk","mp7IySMOzn"],"dependent_operators":["rysDP5nf3Z","3ViojmjbAp","k8jYdgA6NY","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rGHVDoGpnC","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2372","layer":4},{"info":"compute unary expreesion, input=2372, 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 = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=43","layer":2},{"info":"number node, value=4187","layer":4},{"info":"number node, value=2915","layer":4},{"info":"compute binary expreesion, left_input=4187, right_input=2915, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=1245","layer":4},{"info":"number node, value=4345","layer":4},{"info":"compute binary expreesion, left_input=1245, right_input=4345, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=17255","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=17255, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=17255","layer":2},{"info":"compute binary expreesion, left_input=43, right_input=17255, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=1511","layer":4},{"info":"number node, value=4021","layer":4},{"info":"compute binary expreesion, left_input=1511, right_input=4021, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=3657","layer":4},{"info":"number node, value=2559","layer":4},{"info":"compute binary expreesion, left_input=3657, right_input=2559, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2559","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2559, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1169","layer":4},{"info":"number node, value=1171","layer":4},{"info":"compute binary expreesion, left_input=1169, right_input=1171, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2342","layer":3},{"info":"compute unary expreesion, input=2342, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=5484964","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5484964, 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 = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((↥(+⊝⨔⋰*⋻1867))⨐⩸⫘(⋰*⋻3167⩨⋰*⋻2210)↬(⋰*⋻A32⫸⊐⋰*⋻32A0))⩷∴(⋰*⋻1154⪢⋰*⋻3026⫥∨⫟(⋰*⋻2825↺⋰*⋻1A17)⇼⇔∾(⫓⪴⋰*⋻973⇷⋰*⋻975))=NaN","reverse_text":"NaN=((↥(+⊝⨔⋰*⋻1867))⨐⩸⫘(⋰*⋻3167⩨⋰*⋻2210)↬(⋰*⋻A32⫸⊐⋰*⋻32A0))⩷∴(⋰*⋻1154⪢⋰*⋻3026⫥∨⫟(⋰*⋻2825↺⋰*⋻1A17)⇼⇔∾(⫓⪴⋰*⋻973⇷⋰*⋻975))","cot":[{"info":"+⊝⨔⋰*⋻1867=⋰*⋻1164","layer":3},{"info":"↥⋰*⋻1164=⋰*⋻3A","layer":2},{"info":"⋰*⋻3167⩨⋰*⋻2210=⋰*⋻0","layer":3},{"info":"⋰*⋻A32⫸⊐⋰*⋻32A0=⋰*⋻11A67","layer":3},{"info":"⋰*⋻0↬⋰*⋻11A67=⋰*⋻11A67","layer":2},{"info":"⋰*⋻3A⨐⩸⫘⋰*⋻11A67=NaN","layer":1},{"info":"⋰*⋻1154⪢⋰*⋻3026=NaN","layer":3},{"info":"⋰*⋻2825↺⋰*⋻1A17=⋰*⋻1A17","layer":3},{"info":"NaN⫥∨⫟⋰*⋻1A17=NaN","layer":2},{"info":"⋰*⋻973⇷⋰*⋻975=⋰*⋻183A","layer":3},{"info":"⫓⪴⋰*⋻183A=⋰*⋻3106A31","layer":2},{"info":"NaN⇼⇔∾⋰*⋻3106A31=NaN","layer":1},{"info":"NaN⩷∴NaN=NaN","layer":0}]}
{"id":666,"expression_no_base_symbol":"($8099$⩨$1412$)↺$2375$⋝⋈⪟$5712$↺($5603$≎⊠⪸$4563$*$4902$⩷∴$3840$)⨵⪆(⨞⊢(↩$3340$⨽$3226$))","expression":"(⋰*⋻60A3⩨⋰*⋻1074)↺⋰*⋻186A⋝⋈⪟⋰*⋻4323↺(⋰*⋻4234≎⊠⪸⋰*⋻3479*⋰*⋻3757⩷∴⋰*⋻2981)⨵⪆(⨞⊢(↩⋰*⋻2567⨽⋰*⋻2473))","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5751,"operation_count":11,"complexity_ratio":522.8181818181819,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":8099,"base":11},"right_expr":{"type":"numeric_atoms","value":1412,"base":11}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2375,"base":11},"right_expr":{"type":"numeric_atoms","value":5712,"base":11}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":5603,"base":11},"right_expr":{"type":"numeric_atoms","value":4563,"base":11}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4902,"base":11},"right_expr":{"type":"numeric_atoms","value":3840,"base":11}}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3340,"base":11},"right_expr":{"type":"numeric_atoms","value":3226,"base":11}}}}},"used_operators":["2DQ55sFlQl","7j4O788W3g","2DlMacCsIx","2DDjHMKMc0","9HNa5Wba9A","bJkvcejdHO","9FxExcQeMw","xUOZtlo3hN","jLgFTUHLKL","8HhzD0ZcuI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"⋰*⋻136","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=8099","layer":4},{"info":"number node, value=1412","layer":4},{"info":"compute binary expreesion, left_input=8099, right_input=1412, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=2375","layer":4},{"info":"number node, value=5712","layer":4},{"info":"compute binary expreesion, left_input=2375, right_input=5712, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2375","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2375, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2375","layer":2},{"info":"number node, value=5603","layer":4},{"info":"number node, value=4563","layer":4},{"info":"compute binary expreesion, left_input=5603, right_input=4563, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1450704","layer":3},{"info":"number node, value=4902","layer":4},{"info":"number node, value=3840","layer":4},{"info":"compute binary expreesion, left_input=4902, right_input=3840, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2092","layer":3},{"info":"compute binary expreesion, left_input=1450704, right_input=2092, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=inf","layer":2},{"info":"compute binary expreesion, left_input=2375, right_input=inf, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=inf","layer":1},{"info":"number node, value=3340","layer":4},{"info":"number node, value=3226","layer":4},{"info":"compute binary expreesion, left_input=3340, right_input=3226, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-33475164","layer":3},{"info":"compute unary expreesion, input=-33475164, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=133903276","layer":2},{"info":"compute unary expreesion, input=133903276, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-133903450","layer":1},{"info":"compute binary expreesion, left_input=inf, right_input=-133903450, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻60A3⩨⋰*⋻1074)↺⋰*⋻186A⋝⋈⪟⋰*⋻4323↺(⋰*⋻4234≎⊠⪸⋰*⋻3479*⋰*⋻3757⩷∴⋰*⋻2981)⨵⪆(⨞⊢(↩⋰*⋻2567⨽⋰*⋻2473))=⋰*⋻136","reverse_text":"⋰*⋻136=(⋰*⋻60A3⩨⋰*⋻1074)↺⋰*⋻186A⋝⋈⪟⋰*⋻4323↺(⋰*⋻4234≎⊠⪸⋰*⋻3479*⋰*⋻3757⩷∴⋰*⋻2981)⨵⪆(⨞⊢(↩⋰*⋻2567⨽⋰*⋻2473))","cot":[{"info":"⋰*⋻60A3⩨⋰*⋻1074=⋰*⋻0","layer":3},{"info":"⋰*⋻186A⋝⋈⪟⋰*⋻4323=⋰*⋻186A","layer":3},{"info":"⋰*⋻0↺⋰*⋻186A=⋰*⋻186A","layer":2},{"info":"⋰*⋻4234≎⊠⪸⋰*⋻3479=⋰*⋻900A32","layer":3},{"info":"⋰*⋻3757⩷∴⋰*⋻2981=⋰*⋻1632","layer":3},{"info":"⋰*⋻900A32*⋰*⋻1632=Inf","layer":2},{"info":"⋰*⋻186A↺Inf=Inf","layer":1},{"info":"⋰*⋻2567⨽⋰*⋻2473=⋰*⋻-17994428","layer":3},{"info":"↩⋰*⋻-17994428=⋰*⋻69648571","layer":2},{"info":"⨞⊢⋰*⋻69648571=⋰*⋻-6964870A","layer":1},{"info":"Inf⨵⪆⋰*⋻-6964870A=⋰*⋻136","layer":0}]}
{"id":667,"expression_no_base_symbol":"((↣≠⋷($5944$⩷∴$5519$))⨽(⨑⩽⪐($2004$↙$1034$)))⨓(($3804$↺$1326$)⋝⋈⪟($3241$⩷∴$2057$)+⇶⊼((⪲⇎$5453$)⩚⊴⇥($1301$⫥∨⫟$3063$)))","expression":"((↣≠⋷(⋰*⋻4514⩷∴⋰*⋻4168))⨽(⨑⩽⪐(⋰*⋻1562↙⋰*⋻860)))⨓((⋰*⋻2949↺⋰*⋻AA6)⋝⋈⪟(⋰*⋻2487⩷∴⋰*⋻1600)+⇶⊼((⪲⇎⋰*⋻4108)⩚⊴⇥(⋰*⋻A83⫥∨⫟⋰*⋻2335)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":670364,"operation_count":13,"complexity_ratio":51566.46153846154,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":5944,"base":11},"right_expr":{"type":"numeric_atoms","value":5519,"base":11}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2004,"base":11},"right_expr":{"type":"numeric_atoms","value":1034,"base":11}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3804,"base":11},"right_expr":{"type":"numeric_atoms","value":1326,"base":11}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3241,"base":11},"right_expr":{"type":"numeric_atoms","value":2057,"base":11}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":5453,"base":11}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1301,"base":11},"right_expr":{"type":"numeric_atoms","value":3063,"base":11}}}}},"used_operators":["3ViojmjbAp","8HhzD0ZcuI","Asc51vEJeQ","9FxExcQeMw","AF7qkfDlqP","yyfyN0ffXY","TpPTUOHfaN","2DDjHMKMc0","7j4O788W3g","NTOWxs364D","XPYlsWDdGa","KYD54nUTWz"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5944","layer":4},{"info":"number node, value=5519","layer":4},{"info":"compute binary expreesion, left_input=5944, right_input=5519, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=818","layer":3},{"info":"compute unary expreesion, input=818, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=2004","layer":4},{"info":"number node, value=1034","layer":4},{"info":"compute binary expreesion, left_input=2004, right_input=1034, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3102","layer":3},{"info":"compute unary expreesion, input=-3102, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=6993","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=6993, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"number node, value=3804","layer":4},{"info":"number node, value=1326","layer":4},{"info":"compute binary expreesion, left_input=3804, right_input=1326, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1326","layer":3},{"info":"number node, value=3241","layer":4},{"info":"number node, value=2057","layer":4},{"info":"compute binary expreesion, left_input=3241, right_input=2057, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2336","layer":3},{"info":"compute binary expreesion, left_input=1326, right_input=2336, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1326","layer":2},{"info":"number node, value=5453","layer":4},{"info":"compute unary expreesion, input=5453, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=10906","layer":3},{"info":"number node, value=1301","layer":4},{"info":"number node, value=3063","layer":4},{"info":"compute binary expreesion, left_input=1301, right_input=3063, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=10906, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1326, 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 = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((↣≠⋷(⋰*⋻4514⩷∴⋰*⋻4168))⨽(⨑⩽⪐(⋰*⋻1562↙⋰*⋻860)))⨓((⋰*⋻2949↺⋰*⋻AA6)⋝⋈⪟(⋰*⋻2487⩷∴⋰*⋻1600)+⇶⊼((⪲⇎⋰*⋻4108)⩚⊴⇥(⋰*⋻A83⫥∨⫟⋰*⋻2335)))=NaN","reverse_text":"NaN=((↣≠⋷(⋰*⋻4514⩷∴⋰*⋻4168))⨽(⨑⩽⪐(⋰*⋻1562↙⋰*⋻860)))⨓((⋰*⋻2949↺⋰*⋻AA6)⋝⋈⪟(⋰*⋻2487⩷∴⋰*⋻1600)+⇶⊼((⪲⇎⋰*⋻4108)⩚⊴⇥(⋰*⋻A83⫥∨⫟⋰*⋻2335)))","cot":[{"info":"⋰*⋻4514⩷∴⋰*⋻4168=⋰*⋻684","layer":3},{"info":"↣≠⋷⋰*⋻684=NaN","layer":2},{"info":"⋰*⋻1562↙⋰*⋻860=⋰*⋻-2370","layer":3},{"info":"⨑⩽⪐⋰*⋻-2370=⋰*⋻5288","layer":2},{"info":"NaN⨽⋰*⋻5288=NaN","layer":1},{"info":"⋰*⋻2949↺⋰*⋻AA6=⋰*⋻AA6","layer":3},{"info":"⋰*⋻2487⩷∴⋰*⋻1600=⋰*⋻1834","layer":3},{"info":"⋰*⋻AA6⋝⋈⪟⋰*⋻1834=⋰*⋻AA6","layer":2},{"info":"⪲⇎⋰*⋻4108=⋰*⋻8215","layer":3},{"info":"⋰*⋻A83⫥∨⫟⋰*⋻2335=NaN","layer":3},{"info":"⋰*⋻8215⩚⊴⇥NaN=NaN","layer":2},{"info":"⋰*⋻AA6+⇶⊼NaN=NaN","layer":1},{"info":"NaN⨓NaN=NaN","layer":0}]}
{"id":668,"expression_no_base_symbol":"($1708$⩷∴$1059$)∀⇚≩(↣≠⋷$2077$)⨸⪁(($3446$⫌⩹⨱)⋫)⊭↱(($5070$⋷$1110$)∲⫓$7318$⨸⪁$2201$)↙($1934$≭$1608$+($8709$⋷$1772$))","expression":"(⋰*⋻1313⩷∴⋰*⋻883)∀⇚≩(↣≠⋷⋰*⋻1619)⨸⪁((⋰*⋻2653⫌⩹⨱)⋫)⊭↱((⋰*⋻389A⋷⋰*⋻91A)∲⫓⋰*⋻5553⨸⪁⋰*⋻1721)↙(⋰*⋻14A9≭⋰*⋻1232+(⋰*⋻65A8⋷⋰*⋻1371))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":17194,"operation_count":14,"complexity_ratio":1228.142857142857,"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":1708,"base":11},"right_expr":{"type":"numeric_atoms","value":1059,"base":11}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2077,"base":11}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":3446,"base":11}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":5070,"base":11},"right_expr":{"type":"numeric_atoms","value":1110,"base":11}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":7318,"base":11},"right_expr":{"type":"numeric_atoms","value":2201,"base":11}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1934,"base":11},"right_expr":{"type":"numeric_atoms","value":1608,"base":11}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":8709,"base":11},"right_expr":{"type":"numeric_atoms","value":1772,"base":11}}}}},"used_operators":["COABgblf1C","g55IO6H4Gj","LRNGc0VcxI","9FxExcQeMw","Asc51vEJeQ","JL8yIekQnl","EBcxylXtPf","yyfyN0ffXY","i8ToyICDmI","23Mk6UjR3U","W4YGzv6Whe","rxpJgHHUmx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","X99M06cbEe","rysDP5nf3Z","XhwjNDsVaA","AHs5Up7iyr","tmPS8pqC7x","W4YGzv6Whe","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1708","layer":4},{"info":"number node, value=1059","layer":4},{"info":"compute binary expreesion, left_input=1708, right_input=1059, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1266","layer":3},{"info":"number node, value=2077","layer":4},{"info":"compute unary expreesion, input=2077, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1266, 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=3446","layer":4},{"info":"compute unary expreesion, input=3446, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=8293","layer":3},{"info":"compute unary expreesion, input=8293, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=8293","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=8293, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"number node, value=5070","layer":4},{"info":"number node, value=1110","layer":4},{"info":"compute binary expreesion, left_input=5070, right_input=1110, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-2850","layer":3},{"info":"number node, value=7318","layer":4},{"info":"number node, value=2201","layer":4},{"info":"compute binary expreesion, left_input=7318, right_input=2201, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=19038","layer":3},{"info":"compute binary expreesion, left_input=-2850, right_input=19038, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=1934","layer":4},{"info":"number node, value=1608","layer":4},{"info":"compute binary expreesion, left_input=1934, right_input=1608, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=8709","layer":4},{"info":"number node, value=1772","layer":4},{"info":"compute binary expreesion, left_input=8709, right_input=1772, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-5165","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5165, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1313⩷∴⋰*⋻883)∀⇚≩(↣≠⋷⋰*⋻1619)⨸⪁((⋰*⋻2653⫌⩹⨱)⋫)⊭↱((⋰*⋻389A⋷⋰*⋻91A)∲⫓⋰*⋻5553⨸⪁⋰*⋻1721)↙(⋰*⋻14A9≭⋰*⋻1232+(⋰*⋻65A8⋷⋰*⋻1371))=NaN","reverse_text":"NaN=(⋰*⋻1313⩷∴⋰*⋻883)∀⇚≩(↣≠⋷⋰*⋻1619)⨸⪁((⋰*⋻2653⫌⩹⨱)⋫)⊭↱((⋰*⋻389A⋷⋰*⋻91A)∲⫓⋰*⋻5553⨸⪁⋰*⋻1721)↙(⋰*⋻14A9≭⋰*⋻1232+(⋰*⋻65A8⋷⋰*⋻1371))","cot":[{"info":"⋰*⋻1313⩷∴⋰*⋻883=⋰*⋻A51","layer":3},{"info":"↣≠⋷⋰*⋻1619=NaN","layer":3},{"info":"⋰*⋻A51∀⇚≩NaN=NaN","layer":2},{"info":"⋰*⋻2653⫌⩹⨱=⋰*⋻625A","layer":3},{"info":"⋰*⋻625A⋫=⋰*⋻625A","layer":2},{"info":"NaN⨸⪁⋰*⋻625A=NaN","layer":1},{"info":"⋰*⋻389A⋷⋰*⋻91A=⋰*⋻-2161","layer":3},{"info":"⋰*⋻5553⨸⪁⋰*⋻1721=⋰*⋻13338","layer":3},{"info":"⋰*⋻-2161∲⫓⋰*⋻13338=⋰*⋻0","layer":2},{"info":"⋰*⋻14A9≭⋰*⋻1232=NaN","layer":3},{"info":"⋰*⋻65A8⋷⋰*⋻1371=⋰*⋻-3976","layer":3},{"info":"NaN+⋰*⋻-3976=NaN","layer":2},{"info":"⋰*⋻0↙NaN=⋰*⋻0","layer":1},{"info":"NaN⊭↱⋰*⋻0=NaN","layer":0}]}
{"id":669,"expression_no_base_symbol":"(($1249$*$1704$)⫸⊐($1028$%$2584$))⨟⋌⩍(($6428$⋥≓≎$4983$)⨎(⫓⪴$1677$))⨓((⊄⩳↩$5590$)⪮%⊝($2495$≣⋋)+⇶⊼($3452$⨽$1113$)⋓($4460$⋓$5000$))","expression":"((⋰*⋻A36*⋰*⋻130A)⫸⊐(⋰*⋻855%⋰*⋻1A3A))⨟⋌⩍((⋰*⋻4914⋥≓≎⋰*⋻3820)⨎(⫓⪴⋰*⋻1295))⨓((⊄⩳↩⋰*⋻4222)⪮%⊝(⋰*⋻1969≣⋋)+⇶⊼(⋰*⋻2659⨽⋰*⋻922)⋓(⋰*⋻3395⋓⋰*⋻3836))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":6978,"operation_count":15,"complexity_ratio":465.2,"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":1249,"base":11},"right_expr":{"type":"numeric_atoms","value":1704,"base":11}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1028,"base":11},"right_expr":{"type":"numeric_atoms","value":2584,"base":11}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":6428,"base":11},"right_expr":{"type":"numeric_atoms","value":4983,"base":11}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1677,"base":11}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":5590,"base":11}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":2495,"base":11}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3452,"base":11},"right_expr":{"type":"numeric_atoms","value":1113,"base":11}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4460,"base":11},"right_expr":{"type":"numeric_atoms","value":5000,"base":11}}}}},"used_operators":["3ViojmjbAp","rGHVDoGpnC","mqXw5SEYmG","9HNa5Wba9A","k8jYdgA6NY","rJVOvQCfKK","Qy55tPpLXF","eLxqMNBOBk","TpPTUOHfaN","IWmyXbctLI","8w2t5hMYqp","Tcnh7f0tEr","T2fj7uvVaJ","8HhzD0ZcuI"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","Tcnh7f0tEr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","AHs5Up7iyr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1249","layer":4},{"info":"number node, value=1704","layer":4},{"info":"compute binary expreesion, left_input=1249, right_input=1704, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2128296","layer":3},{"info":"number node, value=1028","layer":4},{"info":"number node, value=2584","layer":4},{"info":"compute binary expreesion, left_input=1028, right_input=2584, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1028","layer":3},{"info":"compute binary expreesion, left_input=2128296, right_input=1028, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=3987","layer":2},{"info":"number node, value=6428","layer":4},{"info":"number node, value=4983","layer":4},{"info":"compute binary expreesion, left_input=6428, right_input=4983, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3571","layer":3},{"info":"number node, value=1677","layer":4},{"info":"compute unary expreesion, input=1677, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=2812329","layer":3},{"info":"compute binary expreesion, left_input=3571, right_input=2812329, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2812329","layer":2},{"info":"compute binary expreesion, left_input=3987, right_input=2812329, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=5590","layer":4},{"info":"compute unary expreesion, input=5590, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-16770","layer":3},{"info":"number node, value=2495","layer":4},{"info":"compute unary expreesion, input=2495, 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=-16770, right_input=0, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"number node, value=3452","layer":4},{"info":"number node, value=1113","layer":4},{"info":"compute binary expreesion, left_input=3452, right_input=1113, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-35750937","layer":3},{"info":"number node, value=4460","layer":4},{"info":"number node, value=5000","layer":4},{"info":"compute binary expreesion, left_input=4460, right_input=5000, op_id = T2fj7uvVaJ binary_op_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=-35750937, 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 = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(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 = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻A36*⋰*⋻130A)⫸⊐(⋰*⋻855%⋰*⋻1A3A))⨟⋌⩍((⋰*⋻4914⋥≓≎⋰*⋻3820)⨎(⫓⪴⋰*⋻1295))⨓((⊄⩳↩⋰*⋻4222)⪮%⊝(⋰*⋻1969≣⋋)+⇶⊼(⋰*⋻2659⨽⋰*⋻922)⋓(⋰*⋻3395⋓⋰*⋻3836))=NaN","reverse_text":"NaN=((⋰*⋻A36*⋰*⋻130A)⫸⊐(⋰*⋻855%⋰*⋻1A3A))⨟⋌⩍((⋰*⋻4914⋥≓≎⋰*⋻3820)⨎(⫓⪴⋰*⋻1295))⨓((⊄⩳↩⋰*⋻4222)⪮%⊝(⋰*⋻1969≣⋋)+⇶⊼(⋰*⋻2659⨽⋰*⋻922)⋓(⋰*⋻3395⋓⋰*⋻3836))","cot":[{"info":"⋰*⋻A36*⋰*⋻130A=⋰*⋻1224025","layer":3},{"info":"⋰*⋻855%⋰*⋻1A3A=⋰*⋻855","layer":3},{"info":"⋰*⋻1224025⫸⊐⋰*⋻855=⋰*⋻2AA5","layer":2},{"info":"⋰*⋻4914⋥≓≎⋰*⋻3820=⋰*⋻2757","layer":3},{"info":"⫓⪴⋰*⋻1295=⋰*⋻1650A43","layer":3},{"info":"⋰*⋻2757⨎⋰*⋻1650A43=⋰*⋻1650A43","layer":2},{"info":"⋰*⋻2AA5⨟⋌⩍⋰*⋻1650A43=NaN","layer":1},{"info":"⊄⩳↩⋰*⋻4222=⋰*⋻-11666","layer":3},{"info":"⋰*⋻1969≣⋋=⋰*⋻0","layer":3},{"info":"⋰*⋻-11666⪮%⊝⋰*⋻0=NaN","layer":2},{"info":"⋰*⋻2659⨽⋰*⋻922=⋰*⋻-191A9232","layer":3},{"info":"⋰*⋻3395⋓⋰*⋻3836=⋰*⋻0","layer":3},{"info":"⋰*⋻-191A9232⋓⋰*⋻0=⋰*⋻0","layer":2},{"info":"NaN+⇶⊼⋰*⋻0=⋰*⋻0","layer":1},{"info":"NaN⨓⋰*⋻0=NaN","layer":0}]}
{"id":670,"expression_no_base_symbol":"⊥(($3831$⪐)⪘⫢$3042$⨟⋌⩍$4208$≫≃)","expression":"⊥((⋰*⋻2973⪐)⪘⫢⋰*⋻2316⨟⋌⩍⋰*⋻3186≫≃)","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":20,"operation_count":5,"complexity_ratio":4.0,"tree":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":3831,"base":11}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3042,"base":11},"right_expr":{"type":"numeric_atoms","value":4208,"base":11}}}}},"used_operators":["Q3PJZHRvZv","X99M06cbEe","oacrs7FA3X","eH2TOUuTDT","rGHVDoGpnC"],"dependent_operators":["fu6greOZ01","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=3831","layer":4},{"info":"compute unary expreesion, input=3831, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=7662","layer":3},{"info":"number node, value=3042","layer":4},{"info":"number node, value=4208","layer":4},{"info":"compute binary expreesion, left_input=3042, right_input=4208, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=7662, 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 = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⊥((⋰*⋻2973⪐)⪘⫢⋰*⋻2316⨟⋌⩍⋰*⋻3186≫≃)=NaN","reverse_text":"NaN=⊥((⋰*⋻2973⪐)⪘⫢⋰*⋻2316⨟⋌⩍⋰*⋻3186≫≃)","cot":[{"info":"⋰*⋻2973⪐=⋰*⋻5836","layer":3},{"info":"⋰*⋻2316⨟⋌⩍⋰*⋻3186=NaN","layer":3},{"info":"⋰*⋻5836⪘⫢NaN=NaN","layer":2},{"info":"NaN≫≃=NaN","layer":1},{"info":"⊥NaN=NaN","layer":0}]}
{"id":671,"expression_no_base_symbol":"⇁⨣⪵(⫛⫱⨽($4018$⫸⊐$1238$))⇷($4490$⨎$1383$)⨪↰⇹$6198$⪘⫢$1080$","expression":"⇁⨣⪵(⫛⫱⨽(⋰*⋻3023⫸⊐⋰*⋻A26))⇷(⋰*⋻3412⨎⋰*⋻1048)⨪↰⇹⋰*⋻4725⪘⫢⋰*⋻8A2","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":2853,"operation_count":7,"complexity_ratio":407.57142857142856,"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":4018,"base":11},"right_expr":{"type":"numeric_atoms","value":1238,"base":11}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4490,"base":11},"right_expr":{"type":"numeric_atoms","value":1383,"base":11}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":6198,"base":11},"right_expr":{"type":"numeric_atoms","value":1080,"base":11}}}}},"used_operators":["inkyxCbjAn","mp7IySMOzn","DlLNRPXxWL","mqXw5SEYmG","tmPS8pqC7x","rJVOvQCfKK","oacrs7FA3X"],"dependent_operators":["B5M0gjZbta","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rGHVDoGpnC","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rJVOvQCfKK","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=4018","layer":4},{"info":"number node, value=1238","layer":4},{"info":"compute binary expreesion, left_input=4018, right_input=1238, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4827","layer":3},{"info":"compute unary expreesion, input=4827, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"number node, value=4490","layer":4},{"info":"number node, value=1383","layer":4},{"info":"compute binary expreesion, left_input=4490, right_input=1383, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1383","layer":3},{"info":"number node, value=6198","layer":4},{"info":"number node, value=1080","layer":4},{"info":"compute binary expreesion, left_input=6198, right_input=1080, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=12272","layer":3},{"info":"compute binary expreesion, left_input=1383, right_input=12272, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1383","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=1383, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2766","layer":1},{"info":"compute unary expreesion, input=2766, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⇁⨣⪵(⫛⫱⨽(⋰*⋻3023⫸⊐⋰*⋻A26))⇷(⋰*⋻3412⨎⋰*⋻1048)⨪↰⇹⋰*⋻4725⪘⫢⋰*⋻8A2=NaN","reverse_text":"NaN=⇁⨣⪵(⫛⫱⨽(⋰*⋻3023⫸⊐⋰*⋻A26))⇷(⋰*⋻3412⨎⋰*⋻1048)⨪↰⇹⋰*⋻4725⪘⫢⋰*⋻8A2","cot":[{"info":"⋰*⋻3023⫸⊐⋰*⋻A26=⋰*⋻3699","layer":3},{"info":"⫛⫱⨽⋰*⋻3699=⋰*⋻0","layer":2},{"info":"⋰*⋻3412⨎⋰*⋻1048=⋰*⋻1048","layer":3},{"info":"⋰*⋻4725⪘⫢⋰*⋻8A2=⋰*⋻9247","layer":3},{"info":"⋰*⋻1048⨪↰⇹⋰*⋻9247=⋰*⋻1048","layer":2},{"info":"⋰*⋻0⇷⋰*⋻1048=⋰*⋻2095","layer":1},{"info":"⇁⨣⪵⋰*⋻2095=NaN","layer":0}]}
{"id":672,"expression_no_base_symbol":"(($3784$⇼⇔∾$2663$⊉≛↸($1732$⊘))+⇶⊼($5456$⫥∨⫟$3384$)⋓($2831$⨸⪁$2088$))⪛(⨞⊢$1661$⪢$6872$⩷∴($1484$-$1423$))","expression":"((⋰*⋻2930⇼⇔∾⋰*⋻2001⊉≛↸(⋰*⋻1335⊘))+⇶⊼(⋰*⋻4110⫥∨⫟⋰*⋻25A7)⋓(⋰*⋻2144⨸⪁⋰*⋻1629))⪛(⨞⊢⋰*⋻1280⪢⋰*⋻5188⩷∴(⋰*⋻112A-⋰*⋻1084))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7081,"operation_count":12,"complexity_ratio":590.0833333333334,"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":3784,"base":11},"right_expr":{"type":"numeric_atoms","value":2663,"base":11}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1732,"base":11}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5456,"base":11},"right_expr":{"type":"numeric_atoms","value":3384,"base":11}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2831,"base":11},"right_expr":{"type":"numeric_atoms","value":2088,"base":11}}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1661,"base":11},"right_expr":{"type":"numeric_atoms","value":6872,"base":11}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1484,"base":11},"right_expr":{"type":"numeric_atoms","value":1423,"base":11}}}}},"used_operators":["uFcxV4UQCh","TpPTUOHfaN","DZ8iAZOCBD","tifHPKVTfV","gu96TGCTMs","T2fj7uvVaJ","KYD54nUTWz","g55IO6H4Gj","xUOZtlo3hN","9FxExcQeMw","dWAJyo7jo9","rysDP5nf3Z"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=3784","layer":4},{"info":"number node, value=2663","layer":4},{"info":"compute binary expreesion, left_input=3784, right_input=2663, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1121","layer":3},{"info":"number node, value=1732","layer":4},{"info":"compute unary expreesion, input=1732, 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=-1121, 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=5456","layer":4},{"info":"number node, value=3384","layer":4},{"info":"compute binary expreesion, left_input=5456, right_input=3384, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=2831","layer":4},{"info":"number node, value=2088","layer":4},{"info":"compute binary expreesion, left_input=2831, right_input=2088, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9838","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=9838, op_id = T2fj7uvVaJ binary_op_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 = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=0","layer":1},{"info":"number node, value=1661","layer":4},{"info":"number node, value=6872","layer":4},{"info":"compute binary expreesion, left_input=1661, right_input=6872, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1484","layer":4},{"info":"number node, value=1423","layer":4},{"info":"compute binary expreesion, left_input=1484, right_input=1423, op_id = rysDP5nf3Z binary_op_definition= 'None', output=61","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=61, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":1},{"info":"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":11,"result_base":11,"text":"((⋰*⋻2930⇼⇔∾⋰*⋻2001⊉≛↸(⋰*⋻1335⊘))+⇶⊼(⋰*⋻4110⫥∨⫟⋰*⋻25A7)⋓(⋰*⋻2144⨸⪁⋰*⋻1629))⪛(⨞⊢⋰*⋻1280⪢⋰*⋻5188⩷∴(⋰*⋻112A-⋰*⋻1084))=NaN","reverse_text":"NaN=((⋰*⋻2930⇼⇔∾⋰*⋻2001⊉≛↸(⋰*⋻1335⊘))+⇶⊼(⋰*⋻4110⫥∨⫟⋰*⋻25A7)⋓(⋰*⋻2144⨸⪁⋰*⋻1629))⪛(⨞⊢⋰*⋻1280⪢⋰*⋻5188⩷∴(⋰*⋻112A-⋰*⋻1084))","cot":[{"info":"⋰*⋻2930⇼⇔∾⋰*⋻2001=⋰*⋻-92A","layer":3},{"info":"⋰*⋻1335⊘=⋰*⋻0","layer":3},{"info":"⋰*⋻-92A⊉≛↸⋰*⋻0=⋰*⋻0","layer":2},{"info":"⋰*⋻4110⫥∨⫟⋰*⋻25A7=NaN","layer":3},{"info":"⋰*⋻2144⨸⪁⋰*⋻1629=⋰*⋻7434","layer":3},{"info":"NaN⋓⋰*⋻7434=⋰*⋻0","layer":2},{"info":"⋰*⋻0+⇶⊼⋰*⋻0=⋰*⋻0","layer":1},{"info":"⋰*⋻1280⪢⋰*⋻5188=NaN","layer":3},{"info":"⋰*⋻112A-⋰*⋻1084=⋰*⋻56","layer":3},{"info":"NaN⩷∴⋰*⋻56=NaN","layer":2},{"info":"⨞⊢NaN=NaN","layer":1},{"info":"⋰*⋻0⪛NaN=NaN","layer":0}]}
{"id":673,"expression_no_base_symbol":"((⨈⫕($3330$⇼⇔∾$1029$))-(⋗⩬⋾$4583$)⩷∴($1751$⋷$1141$))-(⪲⇎($1711$⪢$8590$⋷$2976$%$1120$))","expression":"((⨈⫕(⋰*⋻2558⇼⇔∾⋰*⋻856))-(⋗⩬⋾⋰*⋻3497)⩷∴(⋰*⋻1352⋷⋰*⋻948))-(⪲⇎(⋰*⋻1316⪢⋰*⋻64AA⋷⋰*⋻2266%⋰*⋻929))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":8998,"operation_count":11,"complexity_ratio":818.0,"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":3330,"base":11},"right_expr":{"type":"numeric_atoms","value":1029,"base":11}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":4583,"base":11}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1751,"base":11},"right_expr":{"type":"numeric_atoms","value":1141,"base":11}}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1711,"base":11},"right_expr":{"type":"numeric_atoms","value":8590,"base":11}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2976,"base":11},"right_expr":{"type":"numeric_atoms","value":1120,"base":11}}}}},"used_operators":["rysDP5nf3Z","megm06wKyl","tifHPKVTfV","9FxExcQeMw","DpFCA1CohY","23Mk6UjR3U","XPYlsWDdGa","dWAJyo7jo9","k8jYdgA6NY"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3330","layer":4},{"info":"number node, value=1029","layer":4},{"info":"compute binary expreesion, left_input=3330, right_input=1029, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-2301","layer":3},{"info":"compute unary expreesion, input=-2301, 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=4583","layer":4},{"info":"compute unary expreesion, input=4583, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-13749","layer":3},{"info":"number node, value=1751","layer":4},{"info":"number node, value=1141","layer":4},{"info":"compute binary expreesion, left_input=1751, right_input=1141, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=531","layer":3},{"info":"compute binary expreesion, left_input=-13749, right_input=531, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-28592","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=-28592, op_id = rysDP5nf3Z binary_op_definition= 'None', output=28571","layer":1},{"info":"number node, value=1711","layer":4},{"info":"number node, value=8590","layer":4},{"info":"compute binary expreesion, left_input=1711, right_input=8590, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=2976","layer":4},{"info":"number node, value=1120","layer":4},{"info":"compute binary expreesion, left_input=2976, right_input=1120, op_id = k8jYdgA6NY binary_op_definition= 'None', output=736","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=736, 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 = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=28571, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⨈⫕(⋰*⋻2558⇼⇔∾⋰*⋻856))-(⋗⩬⋾⋰*⋻3497)⩷∴(⋰*⋻1352⋷⋰*⋻948))-(⪲⇎(⋰*⋻1316⪢⋰*⋻64AA⋷⋰*⋻2266%⋰*⋻929))=NaN","reverse_text":"NaN=((⨈⫕(⋰*⋻2558⇼⇔∾⋰*⋻856))-(⋗⩬⋾⋰*⋻3497)⩷∴(⋰*⋻1352⋷⋰*⋻948))-(⪲⇎(⋰*⋻1316⪢⋰*⋻64AA⋷⋰*⋻2266%⋰*⋻929))","cot":[{"info":"⋰*⋻2558⇼⇔∾⋰*⋻856=⋰*⋻-1802","layer":3},{"info":"⨈⫕⋰*⋻-1802=⋰*⋻-1A","layer":2},{"info":"⋗⩬⋾⋰*⋻3497=⋰*⋻-A36A","layer":3},{"info":"⋰*⋻1352⋷⋰*⋻948=⋰*⋻443","layer":3},{"info":"⋰*⋻-A36A⩷∴⋰*⋻443=⋰*⋻-1A533","layer":2},{"info":"⋰*⋻-1A-⋰*⋻-1A533=⋰*⋻1A514","layer":1},{"info":"⋰*⋻1316⪢⋰*⋻64AA=NaN","layer":3},{"info":"⋰*⋻2266%⋰*⋻929=⋰*⋻60A","layer":3},{"info":"NaN⋷⋰*⋻60A=NaN","layer":2},{"info":"⪲⇎NaN=NaN","layer":1},{"info":"⋰*⋻1A514-NaN=NaN","layer":0}]}
{"id":674,"expression_no_base_symbol":"≉(($1865$⪨≂$2724$)⊉≛↸($2714$≫≃))↬(↯⪼$1257$⊴$6948$)","expression":"≉((⋰*⋻1446⪨≂⋰*⋻2057)⊉≛↸(⋰*⋻2048≫≃))↬(↯⪼⋰*⋻A43⊴⋰*⋻5247)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7003,"operation_count":7,"complexity_ratio":1000.4285714285714,"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":1865,"base":11},"right_expr":{"type":"numeric_atoms","value":2724,"base":11}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":2714,"base":11}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1257,"base":11},"right_expr":{"type":"numeric_atoms","value":6948,"base":11}}}}},"used_operators":["e1ybzncUwg","B5M0gjZbta","DZ8iAZOCBD","sdazOOVcIp","X99M06cbEe","8jW3W4yZS5","Nsiff2A1zJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1865","layer":4},{"info":"number node, value=2724","layer":4},{"info":"compute binary expreesion, left_input=1865, right_input=2724, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-1616","layer":3},{"info":"number node, value=2714","layer":4},{"info":"compute unary expreesion, input=2714, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=6829","layer":3},{"info":"compute binary expreesion, left_input=-1616, right_input=6829, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-6829","layer":2},{"info":"number node, value=1257","layer":4},{"info":"number node, value=6948","layer":4},{"info":"compute binary expreesion, left_input=1257, right_input=6948, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', 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=-6829, right_input=-21, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"≉((⋰*⋻1446⪨≂⋰*⋻2057)⊉≛↸(⋰*⋻2048≫≃))↬(↯⪼⋰*⋻A43⊴⋰*⋻5247)=NaN","reverse_text":"NaN=≉((⋰*⋻1446⪨≂⋰*⋻2057)⊉≛↸(⋰*⋻2048≫≃))↬(↯⪼⋰*⋻A43⊴⋰*⋻5247)","cot":[{"info":"⋰*⋻1446⪨≂⋰*⋻2057=⋰*⋻-123A","layer":3},{"info":"⋰*⋻2048≫≃=⋰*⋻5149","layer":3},{"info":"⋰*⋻-123A⊉≛↸⋰*⋻5149=⋰*⋻-5149","layer":2},{"info":"⋰*⋻A43⊴⋰*⋻5247=NaN","layer":3},{"info":"↯⪼NaN=⋰*⋻-1A","layer":2},{"info":"⋰*⋻-5149↬⋰*⋻-1A=NaN","layer":1},{"info":"≉NaN=NaN","layer":0}]}
{"id":675,"expression_no_base_symbol":"((⩦⩻⨪$7088$)≣⋋)≎⊠⪸($2906$⩨$7051$⊉≛↸$5967$≭$1119$)%(⪝⪂⫅$6253$)⪢($1937$⇼⇔∾$7379$)⪘⫢(∥⊫($1063$↛⩡⫤))","expression":"((⩦⩻⨪⋰*⋻5364)≣⋋)≎⊠⪸(⋰*⋻2202⩨⋰*⋻5330⊉≛↸⋰*⋻4535≭⋰*⋻928)%(⪝⪂⫅⋰*⋻4775)⪢(⋰*⋻1501⇼⇔∾⋰*⋻55A9)⪘⫢(∥⊫(⋰*⋻887↛⩡⫤))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":11446,"operation_count":13,"complexity_ratio":880.4615384615385,"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":7088,"base":11}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2906,"base":11},"right_expr":{"type":"numeric_atoms","value":7051,"base":11}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":5967,"base":11},"right_expr":{"type":"numeric_atoms","value":1119,"base":11}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":6253,"base":11}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1937,"base":11},"right_expr":{"type":"numeric_atoms","value":7379,"base":11}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1063,"base":11}}}}},"used_operators":["k8jYdgA6NY","bJkvcejdHO","Tcnh7f0tEr","2td37pGCOC","DZ8iAZOCBD","2DlMacCsIx","rxpJgHHUmx","oacrs7FA3X","dWAJyo7jo9","XTarYq4gQB","tifHPKVTfV","P8v4zCKN1o","FU0Cs4j7VP"],"dependent_operators":["rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","k8jYdgA6NY","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7088","layer":4},{"info":"compute unary expreesion, input=7088, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=7088","layer":3},{"info":"compute unary expreesion, input=7088, 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=2906","layer":4},{"info":"number node, value=7051","layer":4},{"info":"compute binary expreesion, left_input=2906, right_input=7051, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":3},{"info":"number node, value=5967","layer":4},{"info":"number node, value=1119","layer":4},{"info":"compute binary expreesion, left_input=5967, right_input=1119, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=-6, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-12","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-12, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=-473","layer":1},{"info":"number node, value=6253","layer":4},{"info":"compute unary expreesion, input=6253, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-919191","layer":3},{"info":"number node, value=1937","layer":4},{"info":"number node, value=7379","layer":4},{"info":"compute binary expreesion, left_input=1937, right_input=7379, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=5442","layer":3},{"info":"compute binary expreesion, left_input=-919191, right_input=5442, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1063","layer":4},{"info":"compute unary expreesion, input=1063, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-156602","layer":3},{"info":"compute unary expreesion, input=-156602, 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 = 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=-473, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⩦⩻⨪⋰*⋻5364)≣⋋)≎⊠⪸(⋰*⋻2202⩨⋰*⋻5330⊉≛↸⋰*⋻4535≭⋰*⋻928)%(⪝⪂⫅⋰*⋻4775)⪢(⋰*⋻1501⇼⇔∾⋰*⋻55A9)⪘⫢(∥⊫(⋰*⋻887↛⩡⫤))=NaN","reverse_text":"NaN=((⩦⩻⨪⋰*⋻5364)≣⋋)≎⊠⪸(⋰*⋻2202⩨⋰*⋻5330⊉≛↸⋰*⋻4535≭⋰*⋻928)%(⪝⪂⫅⋰*⋻4775)⪢(⋰*⋻1501⇼⇔∾⋰*⋻55A9)⪘⫢(∥⊫(⋰*⋻887↛⩡⫤))","cot":[{"info":"⩦⩻⨪⋰*⋻5364=⋰*⋻5364","layer":3},{"info":"⋰*⋻5364≣⋋=⋰*⋻0","layer":2},{"info":"⋰*⋻2202⩨⋰*⋻5330=⋰*⋻-6","layer":3},{"info":"⋰*⋻4535≭⋰*⋻928=NaN","layer":3},{"info":"⋰*⋻-6⊉≛↸NaN=⋰*⋻-11","layer":2},{"info":"⋰*⋻0≎⊠⪸⋰*⋻-11=⋰*⋻-3A0","layer":1},{"info":"⪝⪂⫅⋰*⋻4775=⋰*⋻-578669","layer":3},{"info":"⋰*⋻1501⇼⇔∾⋰*⋻55A9=⋰*⋻40A8","layer":3},{"info":"⋰*⋻-578669⪢⋰*⋻40A8=NaN","layer":2},{"info":"⋰*⋻887↛⩡⫤=⋰*⋻-A7726","layer":3},{"info":"∥⊫⋰*⋻-A7726=⋰*⋻-50","layer":2},{"info":"NaN⪘⫢⋰*⋻-50=NaN","layer":1},{"info":"⋰*⋻-3A0%NaN=NaN","layer":0}]}
{"id":676,"expression_no_base_symbol":"⊄⩳↩((($4983$⪨≂$3871$)∲⫓$6551$≹⇙⪍$1641$)⪒($1895$⩤)≹⇙⪍($4128$⋳⪒$6642$))","expression":"⊄⩳↩(((⋰*⋻3820⪨≂⋰*⋻29AA)∲⫓⋰*⋻4A16≹⇙⪍⋰*⋻1262)⪒(⋰*⋻1473⩤)≹⇙⪍(⋰*⋻3113⋳⪒⋰*⋻4A99))","highest_n_order":4,"priority_hierarchical_complexity":6,"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":4983,"base":11},"right_expr":{"type":"numeric_atoms","value":3871,"base":11}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":6551,"base":11},"right_expr":{"type":"numeric_atoms","value":1641,"base":11}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1895,"base":11}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":4128,"base":11},"right_expr":{"type":"numeric_atoms","value":6642,"base":11}}}}},"used_operators":["8w2t5hMYqp","f6k1SAg4EE","i8ToyICDmI","sdazOOVcIp","AHs5Up7iyr","Z2TMIBDE3Q","12rbrZMWeM"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4983","layer":4},{"info":"number node, value=3871","layer":4},{"info":"compute binary expreesion, left_input=4983, right_input=3871, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=2326","layer":3},{"info":"number node, value=6551","layer":4},{"info":"number node, value=1641","layer":4},{"info":"compute binary expreesion, left_input=6551, right_input=1641, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=2326, 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=1895","layer":4},{"info":"compute unary expreesion, input=1895, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1895","layer":3},{"info":"number node, value=4128","layer":4},{"info":"number node, value=6642","layer":4},{"info":"compute binary expreesion, left_input=4128, right_input=6642, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1327","layer":3},{"info":"compute binary expreesion, left_input=-1895, right_input=1327, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":"compute unary expreesion, input=nan, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⊄⩳↩(((⋰*⋻3820⪨≂⋰*⋻29AA)∲⫓⋰*⋻4A16≹⇙⪍⋰*⋻1262)⪒(⋰*⋻1473⩤)≹⇙⪍(⋰*⋻3113⋳⪒⋰*⋻4A99))=NaN","reverse_text":"NaN=⊄⩳↩(((⋰*⋻3820⪨≂⋰*⋻29AA)∲⫓⋰*⋻4A16≹⇙⪍⋰*⋻1262)⪒(⋰*⋻1473⩤)≹⇙⪍(⋰*⋻3113⋳⪒⋰*⋻4A99))","cot":[{"info":"⋰*⋻3820⪨≂⋰*⋻29AA=⋰*⋻1825","layer":3},{"info":"⋰*⋻4A16≹⇙⪍⋰*⋻1262=NaN","layer":3},{"info":"⋰*⋻1825∲⫓NaN=NaN","layer":2},{"info":"⋰*⋻1473⩤=⋰*⋻-1473","layer":3},{"info":"⋰*⋻3113⋳⪒⋰*⋻4A99=⋰*⋻AA7","layer":3},{"info":"⋰*⋻-1473≹⇙⪍⋰*⋻AA7=NaN","layer":2},{"info":"NaN⪒NaN=NaN","layer":1},{"info":"⊄⩳↩NaN=NaN","layer":0}]}
{"id":677,"expression_no_base_symbol":"⋗⩬⋾(($3760$∑⇟⊟$6066$)↬$2516$⪛$1523$)⇷($2600$%$7141$/$1423$↺$3156$)","expression":"⋗⩬⋾((⋰*⋻2909∑⇟⊟⋰*⋻4615)↬⋰*⋻1988⪛⋰*⋻1165)⇷(⋰*⋻1A54%⋰*⋻5402/⋰*⋻1084↺⋰*⋻240A)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":20,"operation_count":8,"complexity_ratio":2.5,"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":3760,"base":11},"right_expr":{"type":"numeric_atoms","value":6066,"base":11}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2516,"base":11},"right_expr":{"type":"numeric_atoms","value":1523,"base":11}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2600,"base":11},"right_expr":{"type":"numeric_atoms","value":7141,"base":11}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1423,"base":11},"right_expr":{"type":"numeric_atoms","value":3156,"base":11}}}}},"used_operators":["DpFCA1CohY","mp7IySMOzn","B5M0gjZbta","U7g4x0WXJJ","uFcxV4UQCh","XhwjNDsVaA","k8jYdgA6NY","7j4O788W3g"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rGHVDoGpnC","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=3760","layer":4},{"info":"number node, value=6066","layer":4},{"info":"compute binary expreesion, left_input=3760, right_input=6066, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=2516","layer":4},{"info":"number node, value=1523","layer":4},{"info":"compute binary expreesion, left_input=2516, right_input=1523, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=993","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=993, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=2600","layer":4},{"info":"number node, value=7141","layer":4},{"info":"compute binary expreesion, left_input=2600, right_input=7141, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2600","layer":3},{"info":"number node, value=1423","layer":4},{"info":"number node, value=3156","layer":4},{"info":"compute binary expreesion, left_input=1423, right_input=3156, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3156","layer":3},{"info":"compute binary expreesion, left_input=2600, right_input=3156, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=0","layer":0}],"base":11,"result_base":11,"text":"⋗⩬⋾((⋰*⋻2909∑⇟⊟⋰*⋻4615)↬⋰*⋻1988⪛⋰*⋻1165)⇷(⋰*⋻1A54%⋰*⋻5402/⋰*⋻1084↺⋰*⋻240A)=⋰*⋻0","reverse_text":"⋰*⋻0=⋗⩬⋾((⋰*⋻2909∑⇟⊟⋰*⋻4615)↬⋰*⋻1988⪛⋰*⋻1165)⇷(⋰*⋻1A54%⋰*⋻5402/⋰*⋻1084↺⋰*⋻240A)","cot":[{"info":"⋰*⋻2909∑⇟⊟⋰*⋻4615=NaN","layer":3},{"info":"⋰*⋻1988⪛⋰*⋻1165=⋰*⋻823","layer":3},{"info":"NaN↬⋰*⋻823=NaN","layer":2},{"info":"⋰*⋻1A54%⋰*⋻5402=⋰*⋻1A54","layer":3},{"info":"⋰*⋻1084↺⋰*⋻240A=⋰*⋻240A","layer":3},{"info":"⋰*⋻1A54/⋰*⋻240A=⋰*⋻0","layer":2},{"info":"NaN⇷⋰*⋻0=⋰*⋻0","layer":1},{"info":"⋗⩬⋾⋰*⋻0=⋰*⋻0","layer":0}]}
{"id":678,"expression_no_base_symbol":"((∂$2119$)⋝⋈⪟(≦∁$1024$)⨵⪆(⇁⨣⪵$6223$)⪛($4538$↙$3375$))-((($2319$⊪)+(+⊝⨔$1036$))⊘)","expression":"((∂⋰*⋻1657)⋝⋈⪟(≦∁⋰*⋻851)⨵⪆(⇁⨣⪵⋰*⋻4748)⪛(⋰*⋻3456↙⋰*⋻2599))-(((⋰*⋻1819⊪)+(+⊝⨔⋰*⋻862))⊘)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3483,"operation_count":12,"complexity_ratio":290.25,"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":2119,"base":11}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1024,"base":11}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":6223,"base":11}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4538,"base":11},"right_expr":{"type":"numeric_atoms","value":3375,"base":11}}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":2319,"base":11}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1036,"base":11}}}}},"used_operators":["rysDP5nf3Z","2DQ55sFlQl","2DDjHMKMc0","Uaa54Peajs","9ICcGScMcE","uFcxV4UQCh","inkyxCbjAn","yyfyN0ffXY","gu96TGCTMs","W4YGzv6Whe","zVYPLywUTj","DhbWaqg5eL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","B5M0gjZbta","tmPS8pqC7x","DpFCA1CohY","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"⋰*⋻136","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2119","layer":4},{"info":"compute unary expreesion, input=2119, op_id = 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=1024","layer":4},{"info":"compute unary expreesion, input=1024, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1024","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1024, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=6223","layer":4},{"info":"compute unary expreesion, input=6223, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=4538","layer":4},{"info":"number node, value=3375","layer":4},{"info":"compute binary expreesion, left_input=4538, right_input=3375, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-10125","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-10125, 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 = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=2319","layer":4},{"info":"compute unary expreesion, input=2319, 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=1036","layer":4},{"info":"compute unary expreesion, input=1036, 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 = W4YGzv6Whe binary_op_definition= 'None', output=1522","layer":2},{"info":"compute unary expreesion, input=1522, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = rysDP5nf3Z binary_op_definition= 'None', output=160","layer":0}],"base":11,"result_base":11,"text":"((∂⋰*⋻1657)⋝⋈⪟(≦∁⋰*⋻851)⨵⪆(⇁⨣⪵⋰*⋻4748)⪛(⋰*⋻3456↙⋰*⋻2599))-(((⋰*⋻1819⊪)+(+⊝⨔⋰*⋻862))⊘)=⋰*⋻136","reverse_text":"⋰*⋻136=((∂⋰*⋻1657)⋝⋈⪟(≦∁⋰*⋻851)⨵⪆(⇁⨣⪵⋰*⋻4748)⪛(⋰*⋻3456↙⋰*⋻2599))-(((⋰*⋻1819⊪)+(+⊝⨔⋰*⋻862))⊘)","cot":[{"info":"∂⋰*⋻1657=NaN","layer":3},{"info":"≦∁⋰*⋻851=⋰*⋻851","layer":3},{"info":"NaN⋝⋈⪟⋰*⋻851=NaN","layer":2},{"info":"⇁⨣⪵⋰*⋻4748=NaN","layer":3},{"info":"⋰*⋻3456↙⋰*⋻2599=⋰*⋻-7675","layer":3},{"info":"NaN⪛⋰*⋻-7675=NaN","layer":2},{"info":"NaN⨵⪆NaN=⋰*⋻136","layer":1},{"info":"⋰*⋻1819⊪=⋰*⋻0","layer":3},{"info":"+⊝⨔⋰*⋻862=⋰*⋻1164","layer":3},{"info":"⋰*⋻0+⋰*⋻1164=⋰*⋻1164","layer":2},{"info":"⋰*⋻1164⊘=⋰*⋻0","layer":1},{"info":"⋰*⋻136-⋰*⋻0=⋰*⋻136","layer":0}]}
{"id":679,"expression_no_base_symbol":"(↣≠⋷(($6763$∀⇚≩$7167$)⇷$3452$∼$2376$))⊭∹↮","expression":"(↣≠⋷((⋰*⋻5099∀⇚≩⋰*⋻5426)⇷⋰*⋻2659∼⋰*⋻1870))⊭∹↮","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":47426,"operation_count":5,"complexity_ratio":9485.2,"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":6763,"base":11},"right_expr":{"type":"numeric_atoms","value":7167,"base":11}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3452,"base":11},"right_expr":{"type":"numeric_atoms","value":2376,"base":11}}}}},"used_operators":["xNBdhnnwKq","Asc51vEJeQ","mp7IySMOzn","LRNGc0VcxI","DyGG3AbaNP"],"dependent_operators":["2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","XhwjNDsVaA","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","X99M06cbEe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=6763","layer":4},{"info":"number node, value=7167","layer":4},{"info":"compute binary expreesion, left_input=6763, right_input=7167, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=3452","layer":4},{"info":"number node, value=2376","layer":4},{"info":"compute binary expreesion, left_input=3452, right_input=2376, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(↣≠⋷((⋰*⋻5099∀⇚≩⋰*⋻5426)⇷⋰*⋻2659∼⋰*⋻1870))⊭∹↮=NaN","reverse_text":"NaN=(↣≠⋷((⋰*⋻5099∀⇚≩⋰*⋻5426)⇷⋰*⋻2659∼⋰*⋻1870))⊭∹↮","cot":[{"info":"⋰*⋻5099∀⇚≩⋰*⋻5426=NaN","layer":3},{"info":"⋰*⋻2659∼⋰*⋻1870=NaN","layer":3},{"info":"NaN⇷NaN=NaN","layer":2},{"info":"↣≠⋷NaN=NaN","layer":1},{"info":"NaN⊭∹↮=NaN","layer":0}]}
{"id":680,"expression_no_base_symbol":"(+⊝⨔($5475$∀⇚≩$4112$))↬(-(↩$3740$))∲⫓($1533$↺$6514$)∑⇟⊟(⩦⩻⨪$5833$)⋝⋈⪟(($2582$-$7436$)⊉≛↸$1105$∀⇚≩$3492$)","expression":"(+⊝⨔(⋰*⋻4128∀⇚≩⋰*⋻30A9))↬(-(↩⋰*⋻28A0))∲⫓(⋰*⋻1174↺⋰*⋻4992)∑⇟⊟(⩦⩻⨪⋰*⋻4423)⋝⋈⪟((⋰*⋻1A38-⋰*⋻5650)⊉≛↸⋰*⋻915∀⇚≩⋰*⋻2695)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":46114,"operation_count":13,"complexity_ratio":3547.230769230769,"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":5475,"base":11},"right_expr":{"type":"numeric_atoms","value":4112,"base":11}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":3740,"base":11}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1533,"base":11},"right_expr":{"type":"numeric_atoms","value":6514,"base":11}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":5833,"base":11}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2582,"base":11},"right_expr":{"type":"numeric_atoms","value":7436,"base":11}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1105,"base":11},"right_expr":{"type":"numeric_atoms","value":3492,"base":11}}}}},"used_operators":["i8ToyICDmI","B5M0gjZbta","DhbWaqg5eL","LRNGc0VcxI","t8gj7n24qd","jLgFTUHLKL","2DDjHMKMc0","U7g4x0WXJJ","7j4O788W3g","2td37pGCOC","DZ8iAZOCBD","rysDP5nf3Z"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","X99M06cbEe","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5475","layer":4},{"info":"number node, value=4112","layer":4},{"info":"compute binary expreesion, left_input=5475, right_input=4112, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":"number node, value=3740","layer":4},{"info":"compute unary expreesion, input=3740, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-27140","layer":3},{"info":"compute unary expreesion, input=-27140, op_id = t8gj7n24qd, unary_op_definition = 'None', output=27140","layer":2},{"info":"compute binary expreesion, left_input=1522, right_input=27140, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1533","layer":4},{"info":"number node, value=6514","layer":4},{"info":"compute binary expreesion, left_input=1533, right_input=6514, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=6514","layer":3},{"info":"number node, value=5833","layer":4},{"info":"compute unary expreesion, input=5833, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=5833","layer":3},{"info":"compute binary expreesion, left_input=6514, right_input=5833, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=2582","layer":4},{"info":"number node, value=7436","layer":4},{"info":"compute binary expreesion, left_input=2582, right_input=7436, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-4854","layer":3},{"info":"number node, value=1105","layer":4},{"info":"number node, value=3492","layer":4},{"info":"compute binary expreesion, left_input=1105, right_input=3492, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=-4854, 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 = 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 = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(+⊝⨔(⋰*⋻4128∀⇚≩⋰*⋻30A9))↬(-(↩⋰*⋻28A0))∲⫓(⋰*⋻1174↺⋰*⋻4992)∑⇟⊟(⩦⩻⨪⋰*⋻4423)⋝⋈⪟((⋰*⋻1A38-⋰*⋻5650)⊉≛↸⋰*⋻915∀⇚≩⋰*⋻2695)=NaN","reverse_text":"NaN=(+⊝⨔(⋰*⋻4128∀⇚≩⋰*⋻30A9))↬(-(↩⋰*⋻28A0))∲⫓(⋰*⋻1174↺⋰*⋻4992)∑⇟⊟(⩦⩻⨪⋰*⋻4423)⋝⋈⪟((⋰*⋻1A38-⋰*⋻5650)⊉≛↸⋰*⋻915∀⇚≩⋰*⋻2695)","cot":[{"info":"⋰*⋻4128∀⇚≩⋰*⋻30A9=NaN","layer":3},{"info":"+⊝⨔NaN=⋰*⋻1164","layer":2},{"info":"↩⋰*⋻28A0=⋰*⋻-19433","layer":3},{"info":"-⋰*⋻-19433=⋰*⋻19433","layer":2},{"info":"⋰*⋻1164↬⋰*⋻19433=NaN","layer":1},{"info":"⋰*⋻1174↺⋰*⋻4992=⋰*⋻4992","layer":3},{"info":"⩦⩻⨪⋰*⋻4423=⋰*⋻4423","layer":3},{"info":"⋰*⋻4992∑⇟⊟⋰*⋻4423=NaN","layer":2},{"info":"⋰*⋻1A38-⋰*⋻5650=⋰*⋻-3713","layer":3},{"info":"⋰*⋻915∀⇚≩⋰*⋻2695=NaN","layer":3},{"info":"⋰*⋻-3713⊉≛↸NaN=NaN","layer":2},{"info":"NaN⋝⋈⪟NaN=NaN","layer":1},{"info":"NaN∲⫓NaN=NaN","layer":0}]}
{"id":681,"expression_no_base_symbol":"(⨞⊢$1688$)⪘⫢$2344$↬$3822$↙((∥⊫$2794$)⫸⊐$5654$≧⫂∧$1952$)↛⩡⫤","expression":"(⨞⊢⋰*⋻12A5)⪘⫢⋰*⋻1841↬⋰*⋻2965↙((∥⊫⋰*⋻2110)⫸⊐⋰*⋻4280≧⫂∧⋰*⋻1515)↛⩡⫤","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":105,"operation_count":8,"complexity_ratio":13.125,"tree":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1688,"base":11}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2344,"base":11},"right_expr":{"type":"numeric_atoms","value":3822,"base":11}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":2794,"base":11}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":5654,"base":11},"right_expr":{"type":"numeric_atoms","value":1952,"base":11}}}}},"used_operators":["FU0Cs4j7VP","yyfyN0ffXY","oacrs7FA3X","xUOZtlo3hN","B5M0gjZbta","mqXw5SEYmG","P8v4zCKN1o","Ph9nP6C5qx"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","tmPS8pqC7x","DpFCA1CohY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1688","layer":4},{"info":"compute unary expreesion, input=1688, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1862","layer":3},{"info":"number node, value=2344","layer":4},{"info":"number node, value=3822","layer":4},{"info":"compute binary expreesion, left_input=2344, 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":3},{"info":"compute binary expreesion, left_input=-1862, 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=2794","layer":4},{"info":"compute unary expreesion, input=2794, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3662","layer":3},{"info":"number node, value=5654","layer":4},{"info":"number node, value=1952","layer":4},{"info":"compute binary expreesion, left_input=5654, right_input=1952, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1479","layer":3},{"info":"compute binary expreesion, left_input=3662, right_input=1479, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5791","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5791, 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":11,"result_base":11,"text":"(⨞⊢⋰*⋻12A5)⪘⫢⋰*⋻1841↬⋰*⋻2965↙((∥⊫⋰*⋻2110)⫸⊐⋰*⋻4280≧⫂∧⋰*⋻1515)↛⩡⫤=NaN","reverse_text":"NaN=(⨞⊢⋰*⋻12A5)⪘⫢⋰*⋻1841↬⋰*⋻2965↙((∥⊫⋰*⋻2110)⫸⊐⋰*⋻4280≧⫂∧⋰*⋻1515)↛⩡⫤","cot":[{"info":"⨞⊢⋰*⋻12A5=⋰*⋻-1443","layer":3},{"info":"⋰*⋻1841↬⋰*⋻2965=NaN","layer":3},{"info":"⋰*⋻-1443⪘⫢NaN=NaN","layer":2},{"info":"∥⊫⋰*⋻2110=⋰*⋻282A","layer":3},{"info":"⋰*⋻4280≧⫂∧⋰*⋻1515=⋰*⋻1125","layer":3},{"info":"⋰*⋻282A⫸⊐⋰*⋻1125=⋰*⋻4395","layer":2},{"info":"NaN↙⋰*⋻4395=NaN","layer":1},{"info":"NaN↛⩡⫤=NaN","layer":0}]}
{"id":682,"expression_no_base_symbol":"(↩$2642$⋝⋈⪟$1625$)↺(∥⊫($6356$⊭↱$3963$))⩨($4600$≧⫂∧$1475$⨳⩥⨓($1319$⇼⇔∾$6117$))⩚⊴⇥(↔$2861$)⪮%⊝($3514$⋝⋈⪟$2326$)","expression":"(↩⋰*⋻1A92⋝⋈⪟⋰*⋻1248)↺(∥⊫(⋰*⋻4859⊭↱⋰*⋻2A83))⩨(⋰*⋻3502≧⫂∧⋰*⋻1121⨳⩥⨓(⋰*⋻A9A⇼⇔∾⋰*⋻4661))⩚⊴⇥(↔⋰*⋻2171)⪮%⊝(⋰*⋻2705⋝⋈⪟⋰*⋻1825)","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":78,"operation_count":13,"complexity_ratio":6.0,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2642,"base":11},"right_expr":{"type":"numeric_atoms","value":1625,"base":11}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":6356,"base":11},"right_expr":{"type":"numeric_atoms","value":3963,"base":11}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4600,"base":11},"right_expr":{"type":"numeric_atoms","value":1475,"base":11}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1319,"base":11},"right_expr":{"type":"numeric_atoms","value":6117,"base":11}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2861,"base":11}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3514,"base":11},"right_expr":{"type":"numeric_atoms","value":2326,"base":11}}}}},"used_operators":["2DlMacCsIx","7j4O788W3g","jLgFTUHLKL","2DDjHMKMc0","P8v4zCKN1o","COABgblf1C","NTOWxs364D","nCS4ZIUYfx","Ph9nP6C5qx","tifHPKVTfV","IWmyXbctLI","ruOEQAzv1W"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"⋰*⋻4A","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2642","layer":4},{"info":"number node, value=1625","layer":4},{"info":"compute binary expreesion, left_input=2642, right_input=1625, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2642","layer":3},{"info":"compute unary expreesion, input=2642, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-18356","layer":2},{"info":"number node, value=6356","layer":4},{"info":"number node, value=3963","layer":4},{"info":"compute binary expreesion, left_input=6356, right_input=3963, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-4781","layer":3},{"info":"compute unary expreesion, input=-4781, 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=-18356, right_input=-55, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-55","layer":1},{"info":"number node, value=4600","layer":4},{"info":"number node, value=1475","layer":4},{"info":"compute binary expreesion, left_input=4600, right_input=1475, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1002","layer":3},{"info":"number node, value=1319","layer":4},{"info":"number node, value=6117","layer":4},{"info":"compute binary expreesion, left_input=1319, right_input=6117, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=4798","layer":3},{"info":"compute binary expreesion, left_input=1002, right_input=4798, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=3796","layer":2},{"info":"number node, value=2861","layer":4},{"info":"compute unary expreesion, input=2861, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2588","layer":3},{"info":"number node, value=3514","layer":4},{"info":"number node, value=2326","layer":4},{"info":"compute binary expreesion, left_input=3514, right_input=2326, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3514","layer":3},{"info":"compute binary expreesion, left_input=-2588, right_input=3514, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-4860","layer":2},{"info":"compute binary expreesion, left_input=3796, right_input=-4860, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=943","layer":1},{"info":"compute binary expreesion, left_input=-55, right_input=943, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=54","layer":0}],"base":11,"result_base":11,"text":"(↩⋰*⋻1A92⋝⋈⪟⋰*⋻1248)↺(∥⊫(⋰*⋻4859⊭↱⋰*⋻2A83))⩨(⋰*⋻3502≧⫂∧⋰*⋻1121⨳⩥⨓(⋰*⋻A9A⇼⇔∾⋰*⋻4661))⩚⊴⇥(↔⋰*⋻2171)⪮%⊝(⋰*⋻2705⋝⋈⪟⋰*⋻1825)=⋰*⋻4A","reverse_text":"⋰*⋻4A=(↩⋰*⋻1A92⋝⋈⪟⋰*⋻1248)↺(∥⊫(⋰*⋻4859⊭↱⋰*⋻2A83))⩨(⋰*⋻3502≧⫂∧⋰*⋻1121⨳⩥⨓(⋰*⋻A9A⇼⇔∾⋰*⋻4661))⩚⊴⇥(↔⋰*⋻2171)⪮%⊝(⋰*⋻2705⋝⋈⪟⋰*⋻1825)","cot":[{"info":"⋰*⋻1A92⋝⋈⪟⋰*⋻1248=⋰*⋻1A92","layer":3},{"info":"↩⋰*⋻1A92=⋰*⋻-12878","layer":2},{"info":"⋰*⋻4859⊭↱⋰*⋻2A83=⋰*⋻-3657","layer":3},{"info":"∥⊫⋰*⋻-3657=⋰*⋻-50","layer":2},{"info":"⋰*⋻-12878↺⋰*⋻-50=⋰*⋻-50","layer":1},{"info":"⋰*⋻3502≧⫂∧⋰*⋻1121=⋰*⋻831","layer":3},{"info":"⋰*⋻A9A⇼⇔∾⋰*⋻4661=⋰*⋻3672","layer":3},{"info":"⋰*⋻831⨳⩥⨓⋰*⋻3672=⋰*⋻2941","layer":2},{"info":"↔⋰*⋻2171=⋰*⋻-1A43","layer":3},{"info":"⋰*⋻2705⋝⋈⪟⋰*⋻1825=⋰*⋻2705","layer":3},{"info":"⋰*⋻-1A43⪮%⊝⋰*⋻2705=⋰*⋻-3719","layer":2},{"info":"⋰*⋻2941⩚⊴⇥⋰*⋻-3719=⋰*⋻788","layer":1},{"info":"⋰*⋻-50⩨⋰*⋻788=⋰*⋻4A","layer":0}]}
{"id":683,"expression_no_base_symbol":"(($4131$⪮%⊝$3176$⫡⨏($1098$≦≮≮))⩚⊴⇥(($3896$⇼⇔∾$2009$)≫≃))⪮%⊝(($2062$⫩⊇)⋓($1312$≧⫂∧$1555$)⫸⊐(⋗⩬⋾($1280$/$6678$)))","expression":"((⋰*⋻3116⪮%⊝⋰*⋻2428⫡⨏(⋰*⋻909≦≮≮))⩚⊴⇥((⋰*⋻2A22⇼⇔∾⋰*⋻1567)≫≃))⪮%⊝((⋰*⋻1605⫩⊇)⋓(⋰*⋻A93≧⫂∧⋰*⋻1194)⫸⊐(⋗⩬⋾(⋰*⋻A64/⋰*⋻5021)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":64,"operation_count":13,"complexity_ratio":4.923076923076923,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4131,"base":11},"right_expr":{"type":"numeric_atoms","value":3176,"base":11}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1098,"base":11}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3896,"base":11},"right_expr":{"type":"numeric_atoms","value":2009,"base":11}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":2062,"base":11}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1312,"base":11},"right_expr":{"type":"numeric_atoms","value":1555,"base":11}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1280,"base":11},"right_expr":{"type":"numeric_atoms","value":6678,"base":11}}}}},"used_operators":["IWmyXbctLI","NTOWxs364D","QMFrweE19q","D4vGDi5EA2","X99M06cbEe","tifHPKVTfV","mqXw5SEYmG","T2fj7uvVaJ","BjRHVeLaeN","Ph9nP6C5qx","DpFCA1CohY","XhwjNDsVaA"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4131","layer":4},{"info":"number node, value=3176","layer":4},{"info":"compute binary expreesion, left_input=4131, right_input=3176, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=8578","layer":3},{"info":"number node, value=1098","layer":4},{"info":"compute unary expreesion, input=1098, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-3294","layer":3},{"info":"compute binary expreesion, left_input=8578, right_input=-3294, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=37085","layer":2},{"info":"number node, value=3896","layer":4},{"info":"number node, value=2009","layer":4},{"info":"compute binary expreesion, left_input=3896, right_input=2009, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1887","layer":3},{"info":"compute unary expreesion, input=-1887, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=-2373","layer":2},{"info":"compute binary expreesion, left_input=37085, right_input=-2373, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-34833","layer":1},{"info":"number node, value=2062","layer":4},{"info":"compute unary expreesion, input=2062, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-2020","layer":3},{"info":"number node, value=1312","layer":4},{"info":"number node, value=1555","layer":4},{"info":"compute binary expreesion, left_input=1312, right_input=1555, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1082","layer":3},{"info":"compute binary expreesion, left_input=-2020, right_input=1082, op_id = T2fj7uvVaJ binary_op_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=1280","layer":4},{"info":"number node, value=6678","layer":4},{"info":"compute binary expreesion, left_input=1280, right_input=6678, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-34833, right_input=0, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻3116⪮%⊝⋰*⋻2428⫡⨏(⋰*⋻909≦≮≮))⩚⊴⇥((⋰*⋻2A22⇼⇔∾⋰*⋻1567)≫≃))⪮%⊝((⋰*⋻1605⫩⊇)⋓(⋰*⋻A93≧⫂∧⋰*⋻1194)⫸⊐(⋗⩬⋾(⋰*⋻A64/⋰*⋻5021)))=NaN","reverse_text":"NaN=((⋰*⋻3116⪮%⊝⋰*⋻2428⫡⨏(⋰*⋻909≦≮≮))⩚⊴⇥((⋰*⋻2A22⇼⇔∾⋰*⋻1567)≫≃))⪮%⊝((⋰*⋻1605⫩⊇)⋓(⋰*⋻A93≧⫂∧⋰*⋻1194)⫸⊐(⋗⩬⋾(⋰*⋻A64/⋰*⋻5021)))","cot":[{"info":"⋰*⋻3116⪮%⊝⋰*⋻2428=⋰*⋻6499","layer":3},{"info":"⋰*⋻909≦≮≮=⋰*⋻-2525","layer":3},{"info":"⋰*⋻6499⫡⨏⋰*⋻-2525=⋰*⋻25954","layer":2},{"info":"⋰*⋻2A22⇼⇔∾⋰*⋻1567=⋰*⋻-1466","layer":3},{"info":"⋰*⋻-1466≫≃=⋰*⋻-1868","layer":2},{"info":"⋰*⋻25954⩚⊴⇥⋰*⋻-1868=⋰*⋻-24197","layer":1},{"info":"⋰*⋻1605⫩⊇=⋰*⋻-1577","layer":3},{"info":"⋰*⋻A93≧⫂∧⋰*⋻1194=⋰*⋻8A4","layer":3},{"info":"⋰*⋻-1577⋓⋰*⋻8A4=⋰*⋻0","layer":2},{"info":"⋰*⋻A64/⋰*⋻5021=⋰*⋻0","layer":3},{"info":"⋗⩬⋾⋰*⋻0=⋰*⋻0","layer":2},{"info":"⋰*⋻0⫸⊐⋰*⋻0=⋰*⋻0","layer":1},{"info":"⋰*⋻-24197⪮%⊝⋰*⋻0=NaN","layer":0}]}
{"id":684,"expression_no_base_symbol":"(($1090$⪒$6798$)⫥∨⫟($4853$∲⫓$1156$))⨓((⊙↵-$1833$)⨰$2768$∑⇟⊟$6281$)⨵⪆($3007$⋝⋈⪟$1411$⪨≂$3343$⨸⪁$1348$)⨽(∥⊫(⪝⪂⫅$1549$))","expression":"((⋰*⋻901⪒⋰*⋻5120)⫥∨⫟(⋰*⋻3712∲⫓⋰*⋻961))⨓((⊙↵-⋰*⋻1417)⨰⋰*⋻2097∑⇟⊟⋰*⋻47A0)⨵⪆(⋰*⋻2294⋝⋈⪟⋰*⋻1073⪨≂⋰*⋻256A⨸⪁⋰*⋻1016)⨽(∥⊫(⪝⪂⫅⋰*⋻1189))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":14874,"operation_count":14,"complexity_ratio":1062.4285714285713,"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":1090,"base":11},"right_expr":{"type":"numeric_atoms","value":6798,"base":11}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4853,"base":11},"right_expr":{"type":"numeric_atoms","value":1156,"base":11}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1833,"base":11}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2768,"base":11},"right_expr":{"type":"numeric_atoms","value":6281,"base":11}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3007,"base":11},"right_expr":{"type":"numeric_atoms","value":1411,"base":11}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3343,"base":11},"right_expr":{"type":"numeric_atoms","value":1348,"base":11}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1549,"base":11}}}}},"used_operators":["2DQ55sFlQl","3ViojmjbAp","KYD54nUTWz","f6k1SAg4EE","i8ToyICDmI","eewbuw0ToL","oWn0xqSxBt","U7g4x0WXJJ","8HhzD0ZcuI","sdazOOVcIp","2DDjHMKMc0","g55IO6H4Gj","P8v4zCKN1o","XTarYq4gQB"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp"],"result":"⋰*⋻136","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1090","layer":4},{"info":"number node, value=6798","layer":4},{"info":"compute binary expreesion, left_input=1090, right_input=6798, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7888","layer":3},{"info":"number node, value=4853","layer":4},{"info":"number node, value=1156","layer":4},{"info":"compute binary expreesion, left_input=4853, right_input=1156, 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=-7888, right_input=0, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1833","layer":4},{"info":"compute unary expreesion, input=1833, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=2768","layer":4},{"info":"number node, value=6281","layer":4},{"info":"compute binary expreesion, left_input=2768, right_input=6281, 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=-1, 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 = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"number node, value=3007","layer":4},{"info":"number node, value=1411","layer":4},{"info":"compute binary expreesion, left_input=3007, right_input=1411, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3007","layer":3},{"info":"number node, value=3343","layer":4},{"info":"number node, value=1348","layer":4},{"info":"compute binary expreesion, left_input=3343, right_input=1348, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9382","layer":3},{"info":"compute binary expreesion, left_input=3007, right_input=9382, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-12648","layer":2},{"info":"number node, value=1549","layer":4},{"info":"compute unary expreesion, input=1549, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-227703","layer":3},{"info":"compute unary expreesion, input=-227703, 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=-12648, right_input=-55, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-479914233","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-479914233, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻901⪒⋰*⋻5120)⫥∨⫟(⋰*⋻3712∲⫓⋰*⋻961))⨓((⊙↵-⋰*⋻1417)⨰⋰*⋻2097∑⇟⊟⋰*⋻47A0)⨵⪆(⋰*⋻2294⋝⋈⪟⋰*⋻1073⪨≂⋰*⋻256A⨸⪁⋰*⋻1016)⨽(∥⊫(⪝⪂⫅⋰*⋻1189))=⋰*⋻136","reverse_text":"⋰*⋻136=((⋰*⋻901⪒⋰*⋻5120)⫥∨⫟(⋰*⋻3712∲⫓⋰*⋻961))⨓((⊙↵-⋰*⋻1417)⨰⋰*⋻2097∑⇟⊟⋰*⋻47A0)⨵⪆(⋰*⋻2294⋝⋈⪟⋰*⋻1073⪨≂⋰*⋻256A⨸⪁⋰*⋻1016)⨽(∥⊫(⪝⪂⫅⋰*⋻1189))","cot":[{"info":"⋰*⋻901⪒⋰*⋻5120=⋰*⋻-5A21","layer":3},{"info":"⋰*⋻3712∲⫓⋰*⋻961=⋰*⋻0","layer":3},{"info":"⋰*⋻-5A21⫥∨⫟⋰*⋻0=NaN","layer":2},{"info":"⊙↵-⋰*⋻1417=⋰*⋻-1","layer":3},{"info":"⋰*⋻2097∑⇟⊟⋰*⋻47A0=NaN","layer":3},{"info":"⋰*⋻-1⨰NaN=NaN","layer":2},{"info":"NaN⨓NaN=NaN","layer":1},{"info":"⋰*⋻2294⋝⋈⪟⋰*⋻1073=⋰*⋻2294","layer":3},{"info":"⋰*⋻256A⨸⪁⋰*⋻1016=⋰*⋻705A","layer":3},{"info":"⋰*⋻2294⪨≂⋰*⋻705A=⋰*⋻-9559","layer":2},{"info":"⪝⪂⫅⋰*⋻1189=⋰*⋻-146093","layer":3},{"info":"∥⊫⋰*⋻-146093=⋰*⋻-50","layer":2},{"info":"⋰*⋻-9559⨽⋰*⋻-50=⋰*⋻-226998737","layer":1},{"info":"NaN⨵⪆⋰*⋻-226998737=⋰*⋻136","layer":0}]}
{"id":685,"expression_no_base_symbol":"($1333$↺$2518$⩨(⨰⫟⨤$1525$))⨓(∂(⊄⩳↩$2200$))↺(≉$4221$↬$3426$⩷∴(↥$1114$))","expression":"(⋰*⋻1002↺⋰*⋻198A⩨(⨰⫟⨤⋰*⋻1167))⨓(∂(⊄⩳↩⋰*⋻1720))↺(≉⋰*⋻3198↬⋰*⋻2635⩷∴(↥⋰*⋻923))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":12059,"operation_count":11,"complexity_ratio":1096.2727272727273,"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":1333,"base":11},"right_expr":{"type":"numeric_atoms","value":2518,"base":11}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1525,"base":11}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":2200,"base":11}}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4221,"base":11},"right_expr":{"type":"numeric_atoms","value":3426,"base":11}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1114,"base":11}}}}},"used_operators":["7j4O788W3g","3ViojmjbAp","2DlMacCsIx","Tw270M8GLb","Uaa54Peajs","8w2t5hMYqp","e1ybzncUwg","9FxExcQeMw","B5M0gjZbta","A8NUZmVepG"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rGHVDoGpnC","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1333","layer":4},{"info":"number node, value=2518","layer":4},{"info":"compute binary expreesion, left_input=1333, right_input=2518, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2518","layer":3},{"info":"number node, value=1525","layer":4},{"info":"compute unary expreesion, input=1525, 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=2518, 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=2200","layer":4},{"info":"compute unary expreesion, input=2200, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-6600","layer":3},{"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=6336","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=6336, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-6339","layer":1},{"info":"number node, value=4221","layer":4},{"info":"number node, value=3426","layer":4},{"info":"compute binary expreesion, left_input=4221, right_input=3426, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1114","layer":4},{"info":"compute unary expreesion, input=1114, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=43","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=43, 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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-6339, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1002↺⋰*⋻198A⩨(⨰⫟⨤⋰*⋻1167))⨓(∂(⊄⩳↩⋰*⋻1720))↺(≉⋰*⋻3198↬⋰*⋻2635⩷∴(↥⋰*⋻923))=NaN","reverse_text":"NaN=(⋰*⋻1002↺⋰*⋻198A⩨(⨰⫟⨤⋰*⋻1167))⨓(∂(⊄⩳↩⋰*⋻1720))↺(≉⋰*⋻3198↬⋰*⋻2635⩷∴(↥⋰*⋻923))","cot":[{"info":"⋰*⋻1002↺⋰*⋻198A=⋰*⋻198A","layer":3},{"info":"⨰⫟⨤⋰*⋻1167=NaN","layer":3},{"info":"⋰*⋻198A⩨NaN=NaN","layer":2},{"info":"⊄⩳↩⋰*⋻1720=⋰*⋻-4A60","layer":3},{"info":"∂⋰*⋻-4A60=⋰*⋻4840","layer":2},{"info":"NaN⨓⋰*⋻4840=⋰*⋻-4843","layer":1},{"info":"⋰*⋻3198↬⋰*⋻2635=NaN","layer":3},{"info":"↥⋰*⋻923=⋰*⋻3A","layer":3},{"info":"NaN⩷∴⋰*⋻3A=NaN","layer":2},{"info":"≉NaN=NaN","layer":1},{"info":"⋰*⋻-4843↺NaN=NaN","layer":0}]}
{"id":686,"expression_no_base_symbol":"(⨵≀≌($2166$+$2563$)+⇶⊼($5459$⪄$4419$))⨽(($1217$/$5736$)⊭∹↮)⋓($2879$/$2322$)⊴(↯⪼$2110$)","expression":"(⨵≀≌(⋰*⋻169A+⋰*⋻1A20)+⇶⊼(⋰*⋻4113⪄⋰*⋻3358))⨽((⋰*⋻A07/⋰*⋻4345)⊭∹↮)⋓(⋰*⋻2188/⋰*⋻1821)⊴(↯⪼⋰*⋻1649)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":184,"operation_count":11,"complexity_ratio":16.727272727272727,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2166,"base":11},"right_expr":{"type":"numeric_atoms","value":2563,"base":11}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":5459,"base":11},"right_expr":{"type":"numeric_atoms","value":4419,"base":11}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1217,"base":11},"right_expr":{"type":"numeric_atoms","value":5736,"base":11}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2879,"base":11},"right_expr":{"type":"numeric_atoms","value":2322,"base":11}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2110,"base":11}}}}},"used_operators":["8HhzD0ZcuI","srAu1WTS94","TpPTUOHfaN","W4YGzv6Whe","SUmda5xLS4","T2fj7uvVaJ","xNBdhnnwKq","XhwjNDsVaA","Nsiff2A1zJ","8jW3W4yZS5"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","AHs5Up7iyr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2166","layer":4},{"info":"number node, value=2563","layer":4},{"info":"compute binary expreesion, left_input=2166, right_input=2563, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4729","layer":3},{"info":"number node, value=5459","layer":4},{"info":"number node, value=4419","layer":4},{"info":"compute binary expreesion, left_input=5459, right_input=4419, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-821697","layer":3},{"info":"compute binary expreesion, left_input=4729, right_input=-821697, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=nan","layer":1},{"info":"number node, value=1217","layer":4},{"info":"number node, value=5736","layer":4},{"info":"compute binary expreesion, left_input=1217, right_input=5736, op_id = XhwjNDsVaA binary_op_definition= 'None', 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=2879","layer":4},{"info":"number node, value=2322","layer":4},{"info":"compute binary expreesion, left_input=2879, right_input=2322, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"number node, value=2110","layer":4},{"info":"compute unary expreesion, input=2110, 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=1, right_input=-21, 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 = T2fj7uvVaJ 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 = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⨵≀≌(⋰*⋻169A+⋰*⋻1A20)+⇶⊼(⋰*⋻4113⪄⋰*⋻3358))⨽((⋰*⋻A07/⋰*⋻4345)⊭∹↮)⋓(⋰*⋻2188/⋰*⋻1821)⊴(↯⪼⋰*⋻1649)=NaN","reverse_text":"NaN=(⨵≀≌(⋰*⋻169A+⋰*⋻1A20)+⇶⊼(⋰*⋻4113⪄⋰*⋻3358))⨽((⋰*⋻A07/⋰*⋻4345)⊭∹↮)⋓(⋰*⋻2188/⋰*⋻1821)⊴(↯⪼⋰*⋻1649)","cot":[{"info":"⋰*⋻169A+⋰*⋻1A20=⋰*⋻360A","layer":3},{"info":"⋰*⋻4113⪄⋰*⋻3358=⋰*⋻-511398","layer":3},{"info":"⋰*⋻360A+⇶⊼⋰*⋻-511398=NaN","layer":2},{"info":"⨵≀≌NaN=NaN","layer":1},{"info":"⋰*⋻A07/⋰*⋻4345=⋰*⋻0","layer":3},{"info":"⋰*⋻0⊭∹↮=⋰*⋻0","layer":2},{"info":"⋰*⋻2188/⋰*⋻1821=⋰*⋻1","layer":3},{"info":"↯⪼⋰*⋻1649=⋰*⋻-1A","layer":3},{"info":"⋰*⋻1⊴⋰*⋻-1A=NaN","layer":2},{"info":"⋰*⋻0⋓NaN=NaN","layer":1},{"info":"NaN⨽NaN=NaN","layer":0}]}
{"id":687,"expression_no_base_symbol":"(⨵≀≌(($1028$≣⋋)∲⫓$3273$⊴$2458$))⨵⪆(↯⪼(↽≂$1541$≹⇙⪍$2350$))","expression":"(⨵≀≌((⋰*⋻855≣⋋)∲⫓⋰*⋻2506⊴⋰*⋻1935))⨵⪆(↯⪼(↽≂⋰*⋻1181≹⇙⪍⋰*⋻1847))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4688,"operation_count":8,"complexity_ratio":586.0,"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":1028,"base":11}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3273,"base":11},"right_expr":{"type":"numeric_atoms","value":2458,"base":11}}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1541,"base":11},"right_expr":{"type":"numeric_atoms","value":2350,"base":11}}}}},"used_operators":["2DQ55sFlQl","srAu1WTS94","i8ToyICDmI","Tcnh7f0tEr","Nsiff2A1zJ","8jW3W4yZS5","u6S6b8DprG","AHs5Up7iyr"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","dWAJyo7jo9","14qkJME0vr","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9"],"result":"⋰*⋻136","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=1028","layer":4},{"info":"compute unary expreesion, input=1028, 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=3273","layer":4},{"info":"number node, value=2458","layer":4},{"info":"compute binary expreesion, left_input=3273, right_input=2458, 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 = 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 = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=nan","layer":1},{"info":"number node, value=1541","layer":4},{"info":"number node, value=2350","layer":4},{"info":"compute binary expreesion, left_input=1541, right_input=2350, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"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 = 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 = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":11,"result_base":11,"text":"(⨵≀≌((⋰*⋻855≣⋋)∲⫓⋰*⋻2506⊴⋰*⋻1935))⨵⪆(↯⪼(↽≂⋰*⋻1181≹⇙⪍⋰*⋻1847))=⋰*⋻136","reverse_text":"⋰*⋻136=(⨵≀≌((⋰*⋻855≣⋋)∲⫓⋰*⋻2506⊴⋰*⋻1935))⨵⪆(↯⪼(↽≂⋰*⋻1181≹⇙⪍⋰*⋻1847))","cot":[{"info":"⋰*⋻855≣⋋=⋰*⋻0","layer":3},{"info":"⋰*⋻2506⊴⋰*⋻1935=NaN","layer":3},{"info":"⋰*⋻0∲⫓NaN=NaN","layer":2},{"info":"⨵≀≌NaN=NaN","layer":1},{"info":"⋰*⋻1181≹⇙⪍⋰*⋻1847=NaN","layer":3},{"info":"↽≂NaN=NaN","layer":2},{"info":"↯⪼NaN=⋰*⋻-1A","layer":1},{"info":"NaN⨵⪆⋰*⋻-1A=⋰*⋻136","layer":0}]}
{"id":688,"expression_no_base_symbol":"(⪲⇎(⨑⩽⪐$1652$)≧⫂∧$3588$⪢$2281$)≧⫂∧(($3118$≫≃)⨸⪁($5706$/$2448$)⪒(⋗⩬⋾(⫓⪴$1348$)))","expression":"(⪲⇎(⨑⩽⪐⋰*⋻1272)≧⫂∧⋰*⋻2772⪢⋰*⋻1794)≧⫂∧((⋰*⋻2385≫≃)⨸⪁(⋰*⋻4318/⋰*⋻1926)⪒(⋗⩬⋾(⫓⪴⋰*⋻1016)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3733,"operation_count":11,"complexity_ratio":339.3636363636364,"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":1652,"base":11}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3588,"base":11},"right_expr":{"type":"numeric_atoms","value":2281,"base":11}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":3118,"base":11}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":5706,"base":11},"right_expr":{"type":"numeric_atoms","value":2448,"base":11}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1348,"base":11}}}}},"used_operators":["Ph9nP6C5qx","XPYlsWDdGa","AF7qkfDlqP","dWAJyo7jo9","f6k1SAg4EE","g55IO6H4Gj","X99M06cbEe","XhwjNDsVaA","DpFCA1CohY","eLxqMNBOBk"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A"],"result":"⋰*⋻30828AA","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1652","layer":4},{"info":"compute unary expreesion, input=1652, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1379","layer":3},{"info":"number node, value=3588","layer":4},{"info":"number node, value=2281","layer":4},{"info":"compute binary expreesion, left_input=3588, right_input=2281, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=-1379, 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 = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":1},{"info":"number node, value=3118","layer":4},{"info":"compute unary expreesion, input=3118, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=7637","layer":3},{"info":"number node, value=5706","layer":4},{"info":"number node, value=2448","layer":4},{"info":"compute binary expreesion, left_input=5706, right_input=2448, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"compute binary expreesion, left_input=7637, right_input=2, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=15278","layer":2},{"info":"number node, value=1348","layer":4},{"info":"compute unary expreesion, input=1348, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1817104","layer":3},{"info":"compute unary expreesion, input=1817104, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-5451312","layer":2},{"info":"compute binary expreesion, left_input=15278, right_input=-5451312, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=5436034","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=5436034, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5435561","layer":0}],"base":11,"result_base":11,"text":"(⪲⇎(⨑⩽⪐⋰*⋻1272)≧⫂∧⋰*⋻2772⪢⋰*⋻1794)≧⫂∧((⋰*⋻2385≫≃)⨸⪁(⋰*⋻4318/⋰*⋻1926)⪒(⋗⩬⋾(⫓⪴⋰*⋻1016)))=⋰*⋻30828AA","reverse_text":"⋰*⋻30828AA=(⪲⇎(⨑⩽⪐⋰*⋻1272)≧⫂∧⋰*⋻2772⪢⋰*⋻1794)≧⫂∧((⋰*⋻2385≫≃)⨸⪁(⋰*⋻4318/⋰*⋻1926)⪒(⋗⩬⋾(⫓⪴⋰*⋻1016)))","cot":[{"info":"⨑⩽⪐⋰*⋻1272=⋰*⋻-1044","layer":3},{"info":"⋰*⋻2772⪢⋰*⋻1794=NaN","layer":3},{"info":"⋰*⋻-1044≧⫂∧NaN=NaN","layer":2},{"info":"⪲⇎NaN=NaN","layer":1},{"info":"⋰*⋻2385≫≃=⋰*⋻5813","layer":3},{"info":"⋰*⋻4318/⋰*⋻1926=⋰*⋻2","layer":3},{"info":"⋰*⋻5813⨸⪁⋰*⋻2=⋰*⋻1052A","layer":2},{"info":"⫓⪴⋰*⋻1016=⋰*⋻1031243","layer":3},{"info":"⋗⩬⋾⋰*⋻1031243=⋰*⋻-3093719","layer":2},{"info":"⋰*⋻1052A⪒⋰*⋻-3093719=⋰*⋻308319A","layer":1},{"info":"NaN≧⫂∧⋰*⋻308319A=⋰*⋻30828AA","layer":0}]}
{"id":689,"expression_no_base_symbol":"(≤/(⨵≀≌$1136$))⪢(∂$3385$)⊴($1082$⪛$2865$)⇼⇔∾(((↩$1895$)⨁⊸⫻)⩤)","expression":"(≤/(⨵≀≌⋰*⋻943))⪢(∂⋰*⋻25A8)⊴(⋰*⋻8A4⪛⋰*⋻2175)⇼⇔∾(((↩⋰*⋻1473)⨁⊸⫻)⩤)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1120,"operation_count":10,"complexity_ratio":112.0,"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":1136,"base":11}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":3385,"base":11}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1082,"base":11},"right_expr":{"type":"numeric_atoms","value":2865,"base":11}}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1895,"base":11}}}}},"used_operators":["tifHPKVTfV","dWAJyo7jo9","eLAdDNolq6","srAu1WTS94","Nsiff2A1zJ","Uaa54Peajs","uFcxV4UQCh","Z2TMIBDE3Q","glklzrTFfD","jLgFTUHLKL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","dWAJyo7jo9","14qkJME0vr","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1136","layer":4},{"info":"compute unary expreesion, input=1136, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3408","layer":3},{"info":"compute unary expreesion, input=-3408, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=3892","layer":2},{"info":"number node, value=3385","layer":4},{"info":"compute unary expreesion, input=3385, 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=1082","layer":4},{"info":"number node, value=2865","layer":4},{"info":"compute binary expreesion, left_input=1082, right_input=2865, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1082","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1082, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3892, 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=1895","layer":4},{"info":"compute unary expreesion, input=1895, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-12380","layer":3},{"info":"compute unary expreesion, input=-12380, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=-24760","layer":2},{"info":"compute unary expreesion, input=-24760, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=24760","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=24760, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(≤/(⨵≀≌⋰*⋻943))⪢(∂⋰*⋻25A8)⊴(⋰*⋻8A4⪛⋰*⋻2175)⇼⇔∾(((↩⋰*⋻1473)⨁⊸⫻)⩤)=NaN","reverse_text":"NaN=(≤/(⨵≀≌⋰*⋻943))⪢(∂⋰*⋻25A8)⊴(⋰*⋻8A4⪛⋰*⋻2175)⇼⇔∾(((↩⋰*⋻1473)⨁⊸⫻)⩤)","cot":[{"info":"⨵≀≌⋰*⋻943=⋰*⋻-2619","layer":3},{"info":"≤/⋰*⋻-2619=⋰*⋻2A19","layer":2},{"info":"∂⋰*⋻25A8=NaN","layer":3},{"info":"⋰*⋻8A4⪛⋰*⋻2175=⋰*⋻8A4","layer":3},{"info":"NaN⊴⋰*⋻8A4=NaN","layer":2},{"info":"⋰*⋻2A19⪢NaN=NaN","layer":1},{"info":"↩⋰*⋻1473=⋰*⋻-9335","layer":3},{"info":"⋰*⋻-9335⨁⊸⫻=⋰*⋻-1766A","layer":2},{"info":"⋰*⋻-1766A⩤=⋰*⋻1766A","layer":1},{"info":"NaN⇼⇔∾⋰*⋻1766A=NaN","layer":0}]}
{"id":690,"expression_no_base_symbol":"↩((⪲⇎$1574$)⨰($5388$⊭↱$6734$))⪘⫢($1216$-$1260$)⇷($2874$/$2391$)","expression":"↩((⪲⇎⋰*⋻1201)⨰(⋰*⋻4059⊭↱⋰*⋻5072))⪘⫢(⋰*⋻A06-⋰*⋻A46)⇷(⋰*⋻2183/⋰*⋻1884)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":666,"operation_count":8,"complexity_ratio":83.25,"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":1574,"base":11}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":5388,"base":11},"right_expr":{"type":"numeric_atoms","value":6734,"base":11}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1216,"base":11},"right_expr":{"type":"numeric_atoms","value":1260,"base":11}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2874,"base":11},"right_expr":{"type":"numeric_atoms","value":2391,"base":11}}}}},"used_operators":["jLgFTUHLKL","oacrs7FA3X","eewbuw0ToL","XPYlsWDdGa","COABgblf1C","mp7IySMOzn","rysDP5nf3Z","XhwjNDsVaA"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z"],"result":"⋰*⋻3704","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1574","layer":4},{"info":"compute unary expreesion, input=1574, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3148","layer":3},{"info":"number node, value=5388","layer":4},{"info":"number node, value=6734","layer":4},{"info":"compute binary expreesion, left_input=5388, right_input=6734, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=2697","layer":3},{"info":"compute binary expreesion, left_input=3148, right_input=2697, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=461","layer":2},{"info":"number node, value=1216","layer":4},{"info":"number node, value=1260","layer":4},{"info":"compute binary expreesion, left_input=1216, right_input=1260, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-44","layer":3},{"info":"number node, value=2874","layer":4},{"info":"number node, value=2391","layer":4},{"info":"compute binary expreesion, left_input=2874, right_input=2391, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=-44, 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=461, right_input=2, 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 = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=4844","layer":0}],"base":11,"result_base":11,"text":"↩((⪲⇎⋰*⋻1201)⨰(⋰*⋻4059⊭↱⋰*⋻5072))⪘⫢(⋰*⋻A06-⋰*⋻A46)⇷(⋰*⋻2183/⋰*⋻1884)=⋰*⋻3704","reverse_text":"⋰*⋻3704=↩((⪲⇎⋰*⋻1201)⨰(⋰*⋻4059⊭↱⋰*⋻5072))⪘⫢(⋰*⋻A06-⋰*⋻A46)⇷(⋰*⋻2183/⋰*⋻1884)","cot":[{"info":"⪲⇎⋰*⋻1201=⋰*⋻2402","layer":3},{"info":"⋰*⋻4059⊭↱⋰*⋻5072=⋰*⋻2032","layer":3},{"info":"⋰*⋻2402⨰⋰*⋻2032=⋰*⋻38A","layer":2},{"info":"⋰*⋻A06-⋰*⋻A46=⋰*⋻-40","layer":3},{"info":"⋰*⋻2183/⋰*⋻1884=⋰*⋻1","layer":3},{"info":"⋰*⋻-40⇷⋰*⋻1=⋰*⋻2","layer":2},{"info":"⋰*⋻38A⪘⫢⋰*⋻2=⋰*⋻0","layer":1},{"info":"↩⋰*⋻0=⋰*⋻3704","layer":0}]}
{"id":691,"expression_no_base_symbol":"(⫓⪴($2943$%$1967$)⊴($1187$⪠⩆⊳))⪮%⊝(($1349$⫡⨏$1232$)↬(⨞⊢$2042$)≧⫂∧(-$1023$⩚⊴⇥$5985$))","expression":"(⫓⪴(⋰*⋻2236%⋰*⋻1529)⊴(⋰*⋻98A⪠⩆⊳))⪮%⊝((⋰*⋻1017⫡⨏⋰*⋻A20)↬(⨞⊢⋰*⋻1597)≧⫂∧(-⋰*⋻850⩚⊴⇥⋰*⋻4551))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":117,"operation_count":11,"complexity_ratio":10.636363636363637,"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":2943,"base":11},"right_expr":{"type":"numeric_atoms","value":1967,"base":11}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1187,"base":11}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1349,"base":11},"right_expr":{"type":"numeric_atoms","value":1232,"base":11}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2042,"base":11}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1023,"base":11},"right_expr":{"type":"numeric_atoms","value":5985,"base":11}}}}},"used_operators":["IWmyXbctLI","eLxqMNBOBk","Nsiff2A1zJ","k8jYdgA6NY","JLbD19bQDL","Ph9nP6C5qx","B5M0gjZbta","QMFrweE19q","xUOZtlo3hN","t8gj7n24qd","NTOWxs364D"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","9HNa5Wba9A","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⋰*⋻9685","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2943","layer":4},{"info":"number node, value=1967","layer":4},{"info":"compute binary expreesion, left_input=2943, right_input=1967, op_id = k8jYdgA6NY binary_op_definition= 'None', output=976","layer":3},{"info":"number node, value=1187","layer":4},{"info":"compute unary expreesion, input=1187, 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=976, right_input=0, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":2},{"info":"compute unary expreesion, input=-79, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=6241","layer":1},{"info":"number node, value=1349","layer":4},{"info":"number node, value=1232","layer":4},{"info":"compute binary expreesion, left_input=1349, right_input=1232, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=9992","layer":3},{"info":"number node, value=2042","layer":4},{"info":"compute unary expreesion, input=2042, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2216","layer":3},{"info":"compute binary expreesion, left_input=9992, right_input=-2216, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1023","layer":4},{"info":"number node, value=5985","layer":4},{"info":"compute binary expreesion, left_input=1023, right_input=5985, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7129","layer":3},{"info":"compute unary expreesion, input=-7129, op_id = t8gj7n24qd, unary_op_definition = 'None', output=7129","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=7129, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=6656","layer":1},{"info":"compute binary expreesion, left_input=6241, right_input=6656, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=12798","layer":0}],"base":11,"result_base":11,"text":"(⫓⪴(⋰*⋻2236%⋰*⋻1529)⊴(⋰*⋻98A⪠⩆⊳))⪮%⊝((⋰*⋻1017⫡⨏⋰*⋻A20)↬(⨞⊢⋰*⋻1597)≧⫂∧(-⋰*⋻850⩚⊴⇥⋰*⋻4551))=⋰*⋻9685","reverse_text":"⋰*⋻9685=(⫓⪴(⋰*⋻2236%⋰*⋻1529)⊴(⋰*⋻98A⪠⩆⊳))⪮%⊝((⋰*⋻1017⫡⨏⋰*⋻A20)↬(⨞⊢⋰*⋻1597)≧⫂∧(-⋰*⋻850⩚⊴⇥⋰*⋻4551))","cot":[{"info":"⋰*⋻2236%⋰*⋻1529=⋰*⋻808","layer":3},{"info":"⋰*⋻98A⪠⩆⊳=⋰*⋻0","layer":3},{"info":"⋰*⋻808⊴⋰*⋻0=⋰*⋻-72","layer":2},{"info":"⫓⪴⋰*⋻-72=⋰*⋻4764","layer":1},{"info":"⋰*⋻1017⫡⨏⋰*⋻A20=⋰*⋻7564","layer":3},{"info":"⨞⊢⋰*⋻1597=⋰*⋻-1735","layer":3},{"info":"⋰*⋻7564↬⋰*⋻-1735=NaN","layer":2},{"info":"⋰*⋻850⩚⊴⇥⋰*⋻4551=⋰*⋻-53A1","layer":3},{"info":"-⋰*⋻-53A1=⋰*⋻53A1","layer":2},{"info":"NaN≧⫂∧⋰*⋻53A1=⋰*⋻5001","layer":1},{"info":"⋰*⋻4764⪮%⊝⋰*⋻5001=⋰*⋻9685","layer":0}]}
{"id":692,"expression_no_base_symbol":"(($1356$-$3076$)⇷($2838$⇼⇔∾$1430$)∸)⩚⊴⇥(((↔$2309$)≦≮≮)⨸⪁(($2683$%$3901$)⇋≉))","expression":"((⋰*⋻1023-⋰*⋻2347)⇷(⋰*⋻2150⇼⇔∾⋰*⋻1090)∸)⩚⊴⇥(((↔⋰*⋻180A)≦≮≮)⨸⪁((⋰*⋻201A%⋰*⋻2A27)⇋≉))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":24288,"operation_count":10,"complexity_ratio":2428.8,"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":1356,"base":11},"right_expr":{"type":"numeric_atoms","value":3076,"base":11}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2838,"base":11},"right_expr":{"type":"numeric_atoms","value":1430,"base":11}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2309,"base":11}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2683,"base":11},"right_expr":{"type":"numeric_atoms","value":3901,"base":11}}}}},"used_operators":["NTOWxs364D","o20kRiQErp","mp7IySMOzn","rysDP5nf3Z","tifHPKVTfV","g55IO6H4Gj","D4vGDi5EA2","ruOEQAzv1W","XIabStNQrY","k8jYdgA6NY"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","tmPS8pqC7x","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"⋰*⋻-16355","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1356","layer":4},{"info":"number node, value=3076","layer":4},{"info":"compute binary expreesion, left_input=1356, right_input=3076, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1720","layer":3},{"info":"number node, value=2838","layer":4},{"info":"number node, value=1430","layer":4},{"info":"compute binary expreesion, left_input=2838, right_input=1430, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1408","layer":3},{"info":"compute binary expreesion, left_input=-1720, right_input=-1408, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (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=2309","layer":4},{"info":"compute unary expreesion, input=2309, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2036","layer":3},{"info":"compute unary expreesion, input=-2036, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=6108","layer":2},{"info":"number node, value=2683","layer":4},{"info":"number node, value=3901","layer":4},{"info":"compute binary expreesion, left_input=2683, right_input=3901, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2683","layer":3},{"info":"compute unary expreesion, input=2683, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=5268","layer":2},{"info":"compute binary expreesion, left_input=6108, right_input=5268, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=22752","layer":1},{"info":"compute binary expreesion, left_input=177, right_input=22752, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-23050","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1023-⋰*⋻2347)⇷(⋰*⋻2150⇼⇔∾⋰*⋻1090)∸)⩚⊴⇥(((↔⋰*⋻180A)≦≮≮)⨸⪁((⋰*⋻201A%⋰*⋻2A27)⇋≉))=⋰*⋻-16355","reverse_text":"⋰*⋻-16355=((⋰*⋻1023-⋰*⋻2347)⇷(⋰*⋻2150⇼⇔∾⋰*⋻1090)∸)⩚⊴⇥(((↔⋰*⋻180A)≦≮≮)⨸⪁((⋰*⋻201A%⋰*⋻2A27)⇋≉))","cot":[{"info":"⋰*⋻1023-⋰*⋻2347=⋰*⋻-1324","layer":3},{"info":"⋰*⋻2150⇼⇔∾⋰*⋻1090=⋰*⋻-1070","layer":3},{"info":"⋰*⋻-1324⇷⋰*⋻-1070=NaN","layer":2},{"info":"NaN∸=⋰*⋻151","layer":1},{"info":"↔⋰*⋻180A=⋰*⋻-1591","layer":3},{"info":"⋰*⋻-1591≦≮≮=⋰*⋻4653","layer":2},{"info":"⋰*⋻201A%⋰*⋻2A27=⋰*⋻201A","layer":3},{"info":"⋰*⋻201A⇋≉=⋰*⋻3A5A","layer":2},{"info":"⋰*⋻4653⨸⪁⋰*⋻3A5A=⋰*⋻16104","layer":1},{"info":"⋰*⋻151⩚⊴⇥⋰*⋻16104=⋰*⋻-16355","layer":0}]}
{"id":693,"expression_no_base_symbol":"(⊙↵-(⫛⫱⨽$3236$))⨓(↩($3406$⋷$1000$))⪠⩆⊳","expression":"(⊙↵-(⫛⫱⨽⋰*⋻2482))⨓(↩(⋰*⋻2617⋷⋰*⋻82A))⪠⩆⊳","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":9728,"operation_count":6,"complexity_ratio":1621.3333333333333,"tree":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":3236,"base":11}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3406,"base":11},"right_expr":{"type":"numeric_atoms","value":1000,"base":11}}}}},"used_operators":["JLbD19bQDL","3ViojmjbAp","oWn0xqSxBt","DlLNRPXxWL","jLgFTUHLKL","23Mk6UjR3U"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rGHVDoGpnC","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3236","layer":4},{"info":"compute unary expreesion, input=3236, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', 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=3406","layer":4},{"info":"number node, value=1000","layer":4},{"info":"compute binary expreesion, left_input=3406, right_input=1000, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-1406","layer":3},{"info":"compute unary expreesion, input=-1406, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=8244","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=8244, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-8247","layer":1},{"info":"compute unary expreesion, input=-8247, 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":11,"result_base":11,"text":"(⊙↵-(⫛⫱⨽⋰*⋻2482))⨓(↩(⋰*⋻2617⋷⋰*⋻82A))⪠⩆⊳=⋰*⋻0","reverse_text":"⋰*⋻0=(⊙↵-(⫛⫱⨽⋰*⋻2482))⨓(↩(⋰*⋻2617⋷⋰*⋻82A))⪠⩆⊳","cot":[{"info":"⫛⫱⨽⋰*⋻2482=⋰*⋻0","layer":3},{"info":"⊙↵-⋰*⋻0=⋰*⋻0","layer":2},{"info":"⋰*⋻2617⋷⋰*⋻82A=⋰*⋻-1069","layer":3},{"info":"↩⋰*⋻-1069=⋰*⋻6215","layer":2},{"info":"⋰*⋻0⨓⋰*⋻6215=⋰*⋻-6218","layer":1},{"info":"⋰*⋻-6218⪠⩆⊳=⋰*⋻0","layer":0}]}
{"id":694,"expression_no_base_symbol":"⊄⩳↩(⩦⩻⨪($1429$↬$1176$⫩⊇))","expression":"⊄⩳↩(⩦⩻⨪(⋰*⋻108A↬⋰*⋻97A⫩⊇))","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9,"operation_count":4,"complexity_ratio":2.25,"tree":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1429,"base":11},"right_expr":{"type":"numeric_atoms","value":1176,"base":11}}}}},"used_operators":["8w2t5hMYqp","2td37pGCOC","BjRHVeLaeN","B5M0gjZbta"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=1429","layer":4},{"info":"number node, value=1176","layer":4},{"info":"compute binary expreesion, left_input=1429, 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 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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⊄⩳↩(⩦⩻⨪(⋰*⋻108A↬⋰*⋻97A⫩⊇))=NaN","reverse_text":"NaN=⊄⩳↩(⩦⩻⨪(⋰*⋻108A↬⋰*⋻97A⫩⊇))","cot":[{"info":"⋰*⋻108A↬⋰*⋻97A=NaN","layer":3},{"info":"NaN⫩⊇=NaN","layer":2},{"info":"⩦⩻⨪NaN=NaN","layer":1},{"info":"⊄⩳↩NaN=NaN","layer":0}]}
{"id":695,"expression_no_base_symbol":"(($1778$⊘)⪘⫢($1170$⨸⪁$6315$))⪮%⊝($1642$⫥∨⫟$1804$⫡⨏($4066$⨵⪆$2225$))⪨≂(↩$8423$⨰$3892$)⪘⫢($4836$⊉≛↸$4522$)∀⇚≩$1209$⨪↰⇹$4756$","expression":"((⋰*⋻1377⊘)⪘⫢(⋰*⋻974⨸⪁⋰*⋻4821))⪮%⊝(⋰*⋻1263⫥∨⫟⋰*⋻13A0⫡⨏(⋰*⋻3067⨵⪆⋰*⋻1743))⪨≂(↩⋰*⋻6368⨰⋰*⋻2A19)⪘⫢(⋰*⋻36A7⊉≛↸⋰*⋻3441)∀⇚≩⋰*⋻9AA⨪↰⇹⋰*⋻3634","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":69162,"operation_count":14,"complexity_ratio":4940.142857142857,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1778,"base":11}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1170,"base":11},"right_expr":{"type":"numeric_atoms","value":6315,"base":11}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1642,"base":11},"right_expr":{"type":"numeric_atoms","value":1804,"base":11}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":4066,"base":11},"right_expr":{"type":"numeric_atoms","value":2225,"base":11}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":8423,"base":11},"right_expr":{"type":"numeric_atoms","value":3892,"base":11}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4836,"base":11},"right_expr":{"type":"numeric_atoms","value":4522,"base":11}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1209,"base":11},"right_expr":{"type":"numeric_atoms","value":4756,"base":11}}}}},"used_operators":["sdazOOVcIp","IWmyXbctLI","oacrs7FA3X","gu96TGCTMs","g55IO6H4Gj","QMFrweE19q","KYD54nUTWz","2DQ55sFlQl","jLgFTUHLKL","eewbuw0ToL","LRNGc0VcxI","DZ8iAZOCBD","tmPS8pqC7x"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1778","layer":4},{"info":"compute unary expreesion, input=1778, 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=1170","layer":4},{"info":"number node, value=6315","layer":4},{"info":"compute binary expreesion, left_input=1170, right_input=6315, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=14970","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=14970, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1156","layer":2},{"info":"number node, value=1642","layer":4},{"info":"number node, value=1804","layer":4},{"info":"compute binary expreesion, left_input=1642, right_input=1804, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=4066","layer":4},{"info":"number node, value=2225","layer":4},{"info":"compute binary expreesion, left_input=4066, right_input=2225, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1156, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"number node, value=8423","layer":4},{"info":"number node, value=3892","layer":4},{"info":"compute binary expreesion, left_input=8423, right_input=3892, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=4541","layer":3},{"info":"compute unary expreesion, input=4541, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-33548","layer":2},{"info":"number node, value=4836","layer":4},{"info":"number node, value=4522","layer":4},{"info":"compute binary expreesion, left_input=4836, right_input=4522, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=9672","layer":3},{"info":"number node, value=1209","layer":4},{"info":"number node, value=4756","layer":4},{"info":"compute binary expreesion, left_input=1209, right_input=4756, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1209","layer":3},{"info":"compute binary expreesion, left_input=9672, right_input=1209, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=-33548, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1377⊘)⪘⫢(⋰*⋻974⨸⪁⋰*⋻4821))⪮%⊝(⋰*⋻1263⫥∨⫟⋰*⋻13A0⫡⨏(⋰*⋻3067⨵⪆⋰*⋻1743))⪨≂(↩⋰*⋻6368⨰⋰*⋻2A19)⪘⫢(⋰*⋻36A7⊉≛↸⋰*⋻3441)∀⇚≩⋰*⋻9AA⨪↰⇹⋰*⋻3634=NaN","reverse_text":"NaN=((⋰*⋻1377⊘)⪘⫢(⋰*⋻974⨸⪁⋰*⋻4821))⪮%⊝(⋰*⋻1263⫥∨⫟⋰*⋻13A0⫡⨏(⋰*⋻3067⨵⪆⋰*⋻1743))⪨≂(↩⋰*⋻6368⨰⋰*⋻2A19)⪘⫢(⋰*⋻36A7⊉≛↸⋰*⋻3441)∀⇚≩⋰*⋻9AA⨪↰⇹⋰*⋻3634","cot":[{"info":"⋰*⋻1377⊘=⋰*⋻0","layer":3},{"info":"⋰*⋻974⨸⪁⋰*⋻4821=⋰*⋻1027A","layer":3},{"info":"⋰*⋻0⪘⫢⋰*⋻1027A=⋰*⋻-961","layer":2},{"info":"⋰*⋻1263⫥∨⫟⋰*⋻13A0=NaN","layer":3},{"info":"⋰*⋻3067⨵⪆⋰*⋻1743=⋰*⋻136","layer":3},{"info":"NaN⫡⨏⋰*⋻136=NaN","layer":2},{"info":"⋰*⋻-961⪮%⊝NaN=NaN","layer":1},{"info":"⋰*⋻6368⨰⋰*⋻2A19=⋰*⋻3459","layer":3},{"info":"↩⋰*⋻3459=⋰*⋻-23229","layer":2},{"info":"⋰*⋻36A7⊉≛↸⋰*⋻3441=⋰*⋻72A3","layer":3},{"info":"⋰*⋻9AA⨪↰⇹⋰*⋻3634=⋰*⋻9AA","layer":3},{"info":"⋰*⋻72A3∀⇚≩⋰*⋻9AA=NaN","layer":2},{"info":"⋰*⋻-23229⪘⫢NaN=NaN","layer":1},{"info":"NaN⪨≂NaN=NaN","layer":0}]}
{"id":696,"expression_no_base_symbol":"(⫛⫱⨽($4650$⋓$3510$))⨳⩥⨓$1076$⪢$2121$⇷$6463$⪮%⊝$3922$⪨≂(($2576$⨁⊸⫻)≫≃)∲⫓$1726$⋓$7480$⇼⇔∾$3867$≧⫂∧$7438$","expression":"(⫛⫱⨽(⋰*⋻3548⋓⋰*⋻2701))⨳⩥⨓⋰*⋻899⪢⋰*⋻1659⇷⋰*⋻4946⪮%⊝⋰*⋻2A46⪨≂((⋰*⋻1A32⨁⊸⫻)≫≃)∲⫓⋰*⋻132A⋓⋰*⋻5690⇼⇔∾⋰*⋻29A6≧⫂∧⋰*⋻5652","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3096,"operation_count":13,"complexity_ratio":238.15384615384616,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4650,"base":11},"right_expr":{"type":"numeric_atoms","value":3510,"base":11}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1076,"base":11},"right_expr":{"type":"numeric_atoms","value":2121,"base":11}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":6463,"base":11},"right_expr":{"type":"numeric_atoms","value":3922,"base":11}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":2576,"base":11}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1726,"base":11},"right_expr":{"type":"numeric_atoms","value":7480,"base":11}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3867,"base":11},"right_expr":{"type":"numeric_atoms","value":7438,"base":11}}}}},"used_operators":["sdazOOVcIp","nCS4ZIUYfx","DlLNRPXxWL","T2fj7uvVaJ","mp7IySMOzn","dWAJyo7jo9","IWmyXbctLI","i8ToyICDmI","X99M06cbEe","glklzrTFfD","tifHPKVTfV","Ph9nP6C5qx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","k8jYdgA6NY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⋰*⋻36966","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=4650","layer":4},{"info":"number node, value=3510","layer":4},{"info":"compute binary expreesion, left_input=4650, right_input=3510, op_id = T2fj7uvVaJ binary_op_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 = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"number node, value=1076","layer":4},{"info":"number node, value=2121","layer":4},{"info":"compute binary expreesion, left_input=1076, right_input=2121, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=6463","layer":4},{"info":"number node, value=3922","layer":4},{"info":"compute binary expreesion, left_input=6463, right_input=3922, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=13242","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=13242, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=26484","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=26484, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=26484","layer":1},{"info":"number node, value=2576","layer":4},{"info":"compute unary expreesion, input=2576, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=2576","layer":3},{"info":"compute unary expreesion, input=2576, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=6553","layer":2},{"info":"number node, value=1726","layer":4},{"info":"number node, value=7480","layer":4},{"info":"compute binary expreesion, left_input=1726, right_input=7480, op_id = T2fj7uvVaJ binary_op_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=3867","layer":4},{"info":"number node, value=7438","layer":4},{"info":"compute binary expreesion, left_input=3867, right_input=7438, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=6965","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=6965, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=6965","layer":2},{"info":"compute binary expreesion, left_input=6553, right_input=6965, 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=26484, 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=53070","layer":0}],"base":11,"result_base":11,"text":"(⫛⫱⨽(⋰*⋻3548⋓⋰*⋻2701))⨳⩥⨓⋰*⋻899⪢⋰*⋻1659⇷⋰*⋻4946⪮%⊝⋰*⋻2A46⪨≂((⋰*⋻1A32⨁⊸⫻)≫≃)∲⫓⋰*⋻132A⋓⋰*⋻5690⇼⇔∾⋰*⋻29A6≧⫂∧⋰*⋻5652=⋰*⋻36966","reverse_text":"⋰*⋻36966=(⫛⫱⨽(⋰*⋻3548⋓⋰*⋻2701))⨳⩥⨓⋰*⋻899⪢⋰*⋻1659⇷⋰*⋻4946⪮%⊝⋰*⋻2A46⪨≂((⋰*⋻1A32⨁⊸⫻)≫≃)∲⫓⋰*⋻132A⋓⋰*⋻5690⇼⇔∾⋰*⋻29A6≧⫂∧⋰*⋻5652","cot":[{"info":"⋰*⋻3548⋓⋰*⋻2701=⋰*⋻0","layer":3},{"info":"⫛⫱⨽⋰*⋻0=⋰*⋻0","layer":2},{"info":"⋰*⋻899⪢⋰*⋻1659=NaN","layer":3},{"info":"⋰*⋻4946⪮%⊝⋰*⋻2A46=⋰*⋻9A49","layer":3},{"info":"NaN⇷⋰*⋻9A49=⋰*⋻18997","layer":2},{"info":"⋰*⋻0⨳⩥⨓⋰*⋻18997=⋰*⋻18997","layer":1},{"info":"⋰*⋻1A32⨁⊸⫻=⋰*⋻1A32","layer":3},{"info":"⋰*⋻1A32≫≃=⋰*⋻4A18","layer":2},{"info":"⋰*⋻132A⋓⋰*⋻5690=⋰*⋻0","layer":3},{"info":"⋰*⋻29A6≧⫂∧⋰*⋻5652=⋰*⋻5262","layer":3},{"info":"⋰*⋻0⇼⇔∾⋰*⋻5262=⋰*⋻5262","layer":2},{"info":"⋰*⋻4A18∲⫓⋰*⋻5262=⋰*⋻0","layer":1},{"info":"⋰*⋻18997⪨≂⋰*⋻0=⋰*⋻36966","layer":0}]}
{"id":697,"expression_no_base_symbol":"(($3485$⫩⊇)⨐⩸⫘$4115$∼$2549$)∑⇟⊟(($4604$↪⪝)⊠≄⫣)⋷(⪲⇎(⋗⩬⋾($1103$↙$1750$)))","expression":"((⋰*⋻2689⫩⊇)⨐⩸⫘⋰*⋻3101∼⋰*⋻1A08)∑⇟⊟((⋰*⋻3506↪⪝)⊠≄⫣)⋷(⪲⇎(⋗⩬⋾(⋰*⋻913↙⋰*⋻1351)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2549,"operation_count":10,"complexity_ratio":254.9,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":3485,"base":11}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4115,"base":11},"right_expr":{"type":"numeric_atoms","value":2549,"base":11}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":4604,"base":11}}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1103,"base":11},"right_expr":{"type":"numeric_atoms","value":1750,"base":11}}}}},"used_operators":["23Mk6UjR3U","U7g4x0WXJJ","fu6greOZ01","BjRHVeLaeN","DyGG3AbaNP","DIvbN7qnHd","l07mrZUIn9","XPYlsWDdGa","DpFCA1CohY","yyfyN0ffXY"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3485","layer":4},{"info":"compute unary expreesion, input=3485, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-3443","layer":3},{"info":"number node, value=4115","layer":4},{"info":"number node, value=2549","layer":4},{"info":"compute binary expreesion, left_input=4115, right_input=2549, 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=-3443, 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=4604","layer":4},{"info":"compute unary expreesion, input=4604, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=281681928","layer":3},{"info":"compute unary expreesion, input=281681928, 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 = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=1103","layer":4},{"info":"number node, value=1750","layer":4},{"info":"compute binary expreesion, left_input=1103, right_input=1750, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5250","layer":3},{"info":"compute unary expreesion, input=-5250, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=15750","layer":2},{"info":"compute unary expreesion, input=15750, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=31500","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=31500, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻2689⫩⊇)⨐⩸⫘⋰*⋻3101∼⋰*⋻1A08)∑⇟⊟((⋰*⋻3506↪⪝)⊠≄⫣)⋷(⪲⇎(⋗⩬⋾(⋰*⋻913↙⋰*⋻1351)))=NaN","reverse_text":"NaN=((⋰*⋻2689⫩⊇)⨐⩸⫘⋰*⋻3101∼⋰*⋻1A08)∑⇟⊟((⋰*⋻3506↪⪝)⊠≄⫣)⋷(⪲⇎(⋗⩬⋾(⋰*⋻913↙⋰*⋻1351)))","cot":[{"info":"⋰*⋻2689⫩⊇=⋰*⋻-2650","layer":3},{"info":"⋰*⋻3101∼⋰*⋻1A08=NaN","layer":3},{"info":"⋰*⋻-2650⨐⩸⫘NaN=NaN","layer":2},{"info":"⋰*⋻3506↪⪝=⋰*⋻135002890","layer":3},{"info":"⋰*⋻135002890⊠≄⫣=⋰*⋻0","layer":2},{"info":"NaN∑⇟⊟⋰*⋻0=NaN","layer":1},{"info":"⋰*⋻913↙⋰*⋻1351=⋰*⋻-3A43","layer":3},{"info":"⋗⩬⋾⋰*⋻-3A43=⋰*⋻10919","layer":2},{"info":"⪲⇎⋰*⋻10919=⋰*⋻21737","layer":1},{"info":"NaN⋷⋰*⋻21737=NaN","layer":0}]}
{"id":698,"expression_no_base_symbol":"(($2534$⫸⊐$1959$)⨎($1783$*$1008$)⊉≛↸(+⊝⨔$3777$)↙$3427$⋳⪒$6829$)⊪","expression":"((⋰*⋻19A4⫸⊐⋰*⋻1521)⨎(⋰*⋻1381*⋰*⋻837)⊉≛↸(+⊝⨔⋰*⋻2924)↙⋰*⋻2636⋳⪒⋰*⋻5149)⊪","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1380,"operation_count":8,"complexity_ratio":172.5,"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":2534,"base":11},"right_expr":{"type":"numeric_atoms","value":1959,"base":11}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1783,"base":11},"right_expr":{"type":"numeric_atoms","value":1008,"base":11}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":3777,"base":11}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3427,"base":11},"right_expr":{"type":"numeric_atoms","value":6829,"base":11}}}}},"used_operators":["zVYPLywUTj","DZ8iAZOCBD","rJVOvQCfKK","mqXw5SEYmG","9HNa5Wba9A","yyfyN0ffXY","DhbWaqg5eL","12rbrZMWeM"],"dependent_operators":["sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2534","layer":4},{"info":"number node, value=1959","layer":4},{"info":"compute binary expreesion, left_input=2534, right_input=1959, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=7711","layer":3},{"info":"number node, value=1783","layer":4},{"info":"number node, value=1008","layer":4},{"info":"compute binary expreesion, left_input=1783, right_input=1008, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=1797264","layer":3},{"info":"compute binary expreesion, left_input=7711, right_input=1797264, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1797264","layer":2},{"info":"number node, value=3777","layer":4},{"info":"compute unary expreesion, input=3777, 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=3427","layer":4},{"info":"number node, value=6829","layer":4},{"info":"compute binary expreesion, left_input=3427, right_input=6829, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-262","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=-262, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=786","layer":2},{"info":"compute binary expreesion, left_input=1797264, right_input=786, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3594528","layer":1},{"info":"compute unary expreesion, input=3594528, 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":11,"result_base":11,"text":"((⋰*⋻19A4⫸⊐⋰*⋻1521)⨎(⋰*⋻1381*⋰*⋻837)⊉≛↸(+⊝⨔⋰*⋻2924)↙⋰*⋻2636⋳⪒⋰*⋻5149)⊪=⋰*⋻0","reverse_text":"⋰*⋻0=((⋰*⋻19A4⫸⊐⋰*⋻1521)⨎(⋰*⋻1381*⋰*⋻837)⊉≛↸(+⊝⨔⋰*⋻2924)↙⋰*⋻2636⋳⪒⋰*⋻5149)⊪","cot":[{"info":"⋰*⋻19A4⫸⊐⋰*⋻1521=⋰*⋻5880","layer":3},{"info":"⋰*⋻1381*⋰*⋻837=⋰*⋻1018347","layer":3},{"info":"⋰*⋻5880⨎⋰*⋻1018347=⋰*⋻1018347","layer":2},{"info":"+⊝⨔⋰*⋻2924=⋰*⋻1164","layer":3},{"info":"⋰*⋻2636⋳⪒⋰*⋻5149=⋰*⋻-219","layer":3},{"info":"⋰*⋻1164↙⋰*⋻-219=⋰*⋻655","layer":2},{"info":"⋰*⋻1018347⊉≛↸⋰*⋻655=⋰*⋻2035693","layer":1},{"info":"⋰*⋻2035693⊪=⋰*⋻0","layer":0}]}
{"id":699,"expression_no_base_symbol":"(⫓⪴(⊥$4324$))⪢(⨞⊢($6331$⊘))≣⋋","expression":"(⫓⪴(⊥⋰*⋻3281))⪢(⨞⊢(⋰*⋻4836⊘))≣⋋","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":201,"operation_count":6,"complexity_ratio":33.5,"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":4324,"base":11}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":6331,"base":11}}}}},"used_operators":["Tcnh7f0tEr","dWAJyo7jo9","eLxqMNBOBk","Q3PJZHRvZv","xUOZtlo3hN","gu96TGCTMs"],"dependent_operators":["dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","k8jYdgA6NY","9HNa5Wba9A","fu6greOZ01","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4324","layer":4},{"info":"compute unary expreesion, input=4324, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":2},{"info":"number node, value=6331","layer":4},{"info":"compute unary expreesion, input=6331, 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":"compute binary expreesion, left_input=nan, right_input=-174, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⫓⪴(⊥⋰*⋻3281))⪢(⨞⊢(⋰*⋻4836⊘))≣⋋=NaN","reverse_text":"NaN=(⫓⪴(⊥⋰*⋻3281))⪢(⨞⊢(⋰*⋻4836⊘))≣⋋","cot":[{"info":"⊥⋰*⋻3281=NaN","layer":3},{"info":"⫓⪴NaN=NaN","layer":2},{"info":"⋰*⋻4836⊘=⋰*⋻0","layer":3},{"info":"⨞⊢⋰*⋻0=⋰*⋻-149","layer":2},{"info":"NaN⪢⋰*⋻-149=NaN","layer":1},{"info":"NaN≣⋋=NaN","layer":0}]}
{"id":700,"expression_no_base_symbol":"((($3411$≦≮≮)∧)⊉≛↸(↔(⨞⊢$1543$)))⇷(($1685$⪮%⊝$1691$⫥∨⫟$5697$⩚⊴⇥$3369$)≧⫂∧($3525$∀⇚≩$3837$)≹⇙⪍($6530$+$5776$))","expression":"(((⋰*⋻2621≦≮≮)∧)⊉≛↸(↔(⨞⊢⋰*⋻1183)))⇷((⋰*⋻12A2⪮%⊝⋰*⋻12A8⫥∨⫟⋰*⋻430A⩚⊴⇥⋰*⋻2593)≧⫂∧(⋰*⋻2715∀⇚≩⋰*⋻2979)≹⇙⪍(⋰*⋻49A7+⋰*⋻4381))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":24888,"operation_count":13,"complexity_ratio":1914.4615384615386,"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":3411,"base":11}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1543,"base":11}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1685,"base":11},"right_expr":{"type":"numeric_atoms","value":1691,"base":11}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":5697,"base":11},"right_expr":{"type":"numeric_atoms","value":3369,"base":11}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3525,"base":11},"right_expr":{"type":"numeric_atoms","value":3837,"base":11}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":6530,"base":11},"right_expr":{"type":"numeric_atoms","value":5776,"base":11}}}}},"used_operators":["mp7IySMOzn","DZ8iAZOCBD","z63VuFQld9","D4vGDi5EA2","ruOEQAzv1W","xUOZtlo3hN","Ph9nP6C5qx","KYD54nUTWz","IWmyXbctLI","NTOWxs364D","AHs5Up7iyr","LRNGc0VcxI","W4YGzv6Whe"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3411","layer":4},{"info":"compute unary expreesion, input=3411, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-10233","layer":3},{"info":"compute unary expreesion, input=-10233, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=0","layer":2},{"info":"number node, value=1543","layer":4},{"info":"compute unary expreesion, input=1543, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1717","layer":3},{"info":"compute unary expreesion, input=-1717, 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 = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=0","layer":1},{"info":"number node, value=1685","layer":4},{"info":"number node, value=1691","layer":4},{"info":"compute binary expreesion, left_input=1685, right_input=1691, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3686","layer":3},{"info":"number node, value=5697","layer":4},{"info":"number node, value=3369","layer":4},{"info":"compute binary expreesion, left_input=5697, right_input=3369, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-9187","layer":3},{"info":"compute binary expreesion, left_input=3686, right_input=-9187, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=3525","layer":4},{"info":"number node, value=3837","layer":4},{"info":"compute binary expreesion, left_input=3525, right_input=3837, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=6530","layer":4},{"info":"number node, value=5776","layer":4},{"info":"compute binary expreesion, left_input=6530, right_input=5776, op_id = W4YGzv6Whe binary_op_definition= 'None', output=12306","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=12306, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻2621≦≮≮)∧)⊉≛↸(↔(⨞⊢⋰*⋻1183)))⇷((⋰*⋻12A2⪮%⊝⋰*⋻12A8⫥∨⫟⋰*⋻430A⩚⊴⇥⋰*⋻2593)≧⫂∧(⋰*⋻2715∀⇚≩⋰*⋻2979)≹⇙⪍(⋰*⋻49A7+⋰*⋻4381))=NaN","reverse_text":"NaN=(((⋰*⋻2621≦≮≮)∧)⊉≛↸(↔(⨞⊢⋰*⋻1183)))⇷((⋰*⋻12A2⪮%⊝⋰*⋻12A8⫥∨⫟⋰*⋻430A⩚⊴⇥⋰*⋻2593)≧⫂∧(⋰*⋻2715∀⇚≩⋰*⋻2979)≹⇙⪍(⋰*⋻49A7+⋰*⋻4381))","cot":[{"info":"⋰*⋻2621≦≮≮=⋰*⋻-7763","layer":3},{"info":"⋰*⋻-7763∧=⋰*⋻0","layer":2},{"info":"⨞⊢⋰*⋻1183=⋰*⋻-1321","layer":3},{"info":"↔⋰*⋻-1321=⋰*⋻-112","layer":2},{"info":"⋰*⋻0⊉≛↸⋰*⋻-112=⋰*⋻0","layer":1},{"info":"⋰*⋻12A2⪮%⊝⋰*⋻12A8=⋰*⋻2851","layer":3},{"info":"⋰*⋻430A⩚⊴⇥⋰*⋻2593=⋰*⋻-69A2","layer":3},{"info":"⋰*⋻2851⫥∨⫟⋰*⋻-69A2=NaN","layer":2},{"info":"⋰*⋻2715∀⇚≩⋰*⋻2979=NaN","layer":3},{"info":"⋰*⋻49A7+⋰*⋻4381=⋰*⋻9278","layer":3},{"info":"NaN≹⇙⪍⋰*⋻9278=NaN","layer":2},{"info":"NaN≧⫂∧NaN=NaN","layer":1},{"info":"⋰*⋻0⇷NaN=NaN","layer":0}]}
{"id":701,"expression_no_base_symbol":"(($3363$⇼⇔∾$3413$)⇷($3640$⪨≂$1854$))⨟⋌⩍($1754$↺$2297$⫡⨏(⨈⫕$1660$))⪐","expression":"((⋰*⋻2588⇼⇔∾⋰*⋻2623)⇷(⋰*⋻280A⪨≂⋰*⋻1436))⨟⋌⩍(⋰*⋻1355↺⋰*⋻17A9⫡⨏(⨈⫕⋰*⋻127A))⪐","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1111,"operation_count":8,"complexity_ratio":138.875,"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":3363,"base":11},"right_expr":{"type":"numeric_atoms","value":3413,"base":11}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3640,"base":11},"right_expr":{"type":"numeric_atoms","value":1854,"base":11}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1754,"base":11},"right_expr":{"type":"numeric_atoms","value":2297,"base":11}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1660,"base":11}}}}},"used_operators":["eH2TOUuTDT","rGHVDoGpnC","mp7IySMOzn","tifHPKVTfV","sdazOOVcIp","QMFrweE19q","7j4O788W3g","megm06wKyl"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=3363","layer":4},{"info":"number node, value=3413","layer":4},{"info":"compute binary expreesion, left_input=3363, right_input=3413, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=50","layer":3},{"info":"number node, value=3640","layer":4},{"info":"number node, value=1854","layer":4},{"info":"compute binary expreesion, left_input=3640, right_input=1854, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=3674","layer":3},{"info":"compute binary expreesion, left_input=50, right_input=3674, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=7348","layer":2},{"info":"number node, value=1754","layer":4},{"info":"number node, value=2297","layer":4},{"info":"compute binary expreesion, left_input=1754, right_input=2297, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2297","layer":3},{"info":"number node, value=1660","layer":4},{"info":"compute unary expreesion, input=1660, 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=2297, right_input=-21, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=12226","layer":2},{"info":"compute binary expreesion, left_input=7348, right_input=12226, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻2588⇼⇔∾⋰*⋻2623)⇷(⋰*⋻280A⪨≂⋰*⋻1436))⨟⋌⩍(⋰*⋻1355↺⋰*⋻17A9⫡⨏(⨈⫕⋰*⋻127A))⪐=NaN","reverse_text":"NaN=((⋰*⋻2588⇼⇔∾⋰*⋻2623)⇷(⋰*⋻280A⪨≂⋰*⋻1436))⨟⋌⩍(⋰*⋻1355↺⋰*⋻17A9⫡⨏(⨈⫕⋰*⋻127A))⪐","cot":[{"info":"⋰*⋻2588⇼⇔∾⋰*⋻2623=⋰*⋻46","layer":3},{"info":"⋰*⋻280A⪨≂⋰*⋻1436=⋰*⋻2840","layer":3},{"info":"⋰*⋻46⇷⋰*⋻2840=⋰*⋻5580","layer":2},{"info":"⋰*⋻1355↺⋰*⋻17A9=⋰*⋻17A9","layer":3},{"info":"⨈⫕⋰*⋻127A=⋰*⋻-1A","layer":3},{"info":"⋰*⋻17A9⫡⨏⋰*⋻-1A=⋰*⋻9205","layer":2},{"info":"⋰*⋻5580⨟⋌⩍⋰*⋻9205=NaN","layer":1},{"info":"NaN⪐=NaN","layer":0}]}
{"id":702,"expression_no_base_symbol":"↔(↔($4717$⩨$3700$⇼⇔∾($1848$∧)))","expression":"↔(↔(⋰*⋻35A9⩨⋰*⋻2864⇼⇔∾(⋰*⋻1430∧)))","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":58,"operation_count":5,"complexity_ratio":11.6,"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":4717,"base":11},"right_expr":{"type":"numeric_atoms","value":3700,"base":11}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1848,"base":11}}}}},"used_operators":["ruOEQAzv1W","tifHPKVTfV","2DlMacCsIx","z63VuFQld9"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"⋰*⋻-75A","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=4717","layer":4},{"info":"number node, value=3700","layer":4},{"info":"compute binary expreesion, left_input=4717, right_input=3700, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=1848","layer":4},{"info":"compute unary expreesion, input=1848, 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=0, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":1},{"info":"compute unary expreesion, input=-134, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-912","layer":0}],"base":11,"result_base":11,"text":"↔(↔(⋰*⋻35A9⩨⋰*⋻2864⇼⇔∾(⋰*⋻1430∧)))=⋰*⋻-75A","reverse_text":"⋰*⋻-75A=↔(↔(⋰*⋻35A9⩨⋰*⋻2864⇼⇔∾(⋰*⋻1430∧)))","cot":[{"info":"⋰*⋻35A9⩨⋰*⋻2864=⋰*⋻0","layer":3},{"info":"⋰*⋻1430∧=NaN","layer":3},{"info":"⋰*⋻0⇼⇔∾NaN=NaN","layer":2},{"info":"↔NaN=⋰*⋻-112","layer":1},{"info":"↔⋰*⋻-112=⋰*⋻-75A","layer":0}]}
{"id":703,"expression_no_base_symbol":"($2374$⩷∴$8935$⩚⊴⇥$1772$∼$2215$)↬(⪲⇎(⨈⫕$1858$))⩨(≉($1019$⫡⨏$5589$)⨽(↩$1563$))","expression":"(⋰*⋻1869⩷∴⋰*⋻6793⩚⊴⇥⋰*⋻1371∼⋰*⋻1734)↬(⪲⇎(⨈⫕⋰*⋻143A))⩨(≉(⋰*⋻847⫡⨏⋰*⋻4221)⨽(↩⋰*⋻11A1))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":17527,"operation_count":11,"complexity_ratio":1593.3636363636363,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2374,"base":11},"right_expr":{"type":"numeric_atoms","value":8935,"base":11}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1772,"base":11},"right_expr":{"type":"numeric_atoms","value":2215,"base":11}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1858,"base":11}}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1019,"base":11},"right_expr":{"type":"numeric_atoms","value":5589,"base":11}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1563,"base":11}}}}},"used_operators":["2DlMacCsIx","B5M0gjZbta","NTOWxs364D","9FxExcQeMw","DyGG3AbaNP","XPYlsWDdGa","megm06wKyl","e1ybzncUwg","8HhzD0ZcuI","QMFrweE19q","jLgFTUHLKL"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2374","layer":4},{"info":"number node, value=8935","layer":4},{"info":"compute binary expreesion, left_input=2374, right_input=8935, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-13154","layer":3},{"info":"number node, value=1772","layer":4},{"info":"number node, value=2215","layer":4},{"info":"compute binary expreesion, left_input=1772, right_input=2215, 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=-13154, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"number node, value=1858","layer":4},{"info":"compute unary expreesion, input=1858, 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=nan, right_input=-42, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1019","layer":4},{"info":"number node, value=5589","layer":4},{"info":"compute binary expreesion, left_input=1019, right_input=5589, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=17056","layer":3},{"info":"number node, value=1563","layer":4},{"info":"compute unary expreesion, input=1563, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-9724","layer":3},{"info":"compute binary expreesion, left_input=17056, right_input=-9724, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-872690922","layer":2},{"info":"compute unary expreesion, input=-872690922, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-872690922","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-872690922, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1869⩷∴⋰*⋻6793⩚⊴⇥⋰*⋻1371∼⋰*⋻1734)↬(⪲⇎(⨈⫕⋰*⋻143A))⩨(≉(⋰*⋻847⫡⨏⋰*⋻4221)⨽(↩⋰*⋻11A1))=NaN","reverse_text":"NaN=(⋰*⋻1869⩷∴⋰*⋻6793⩚⊴⇥⋰*⋻1371∼⋰*⋻1734)↬(⪲⇎(⨈⫕⋰*⋻143A))⩨(≉(⋰*⋻847⫡⨏⋰*⋻4221)⨽(↩⋰*⋻11A1))","cot":[{"info":"⋰*⋻1869⩷∴⋰*⋻6793=⋰*⋻-9979","layer":3},{"info":"⋰*⋻1371∼⋰*⋻1734=NaN","layer":3},{"info":"⋰*⋻-9979⩚⊴⇥NaN=NaN","layer":2},{"info":"⨈⫕⋰*⋻143A=⋰*⋻-1A","layer":3},{"info":"⪲⇎⋰*⋻-1A=⋰*⋻-39","layer":2},{"info":"NaN↬⋰*⋻-39=NaN","layer":1},{"info":"⋰*⋻847⫡⨏⋰*⋻4221=⋰*⋻118A6","layer":3},{"info":"↩⋰*⋻11A1=⋰*⋻-7340","layer":3},{"info":"⋰*⋻118A6⨽⋰*⋻-7340=⋰*⋻-40867A674","layer":2},{"info":"≉⋰*⋻-40867A674=⋰*⋻-40867A674","layer":1},{"info":"NaN⩨⋰*⋻-40867A674=NaN","layer":0}]}
{"id":704,"expression_no_base_symbol":"⊥(↔($5657$⨸⪁$1900$⩨(⫛⫱⨽$7712$)))","expression":"⊥(↔(⋰*⋻4283⨸⪁⋰*⋻1478⩨(⫛⫱⨽⋰*⋻5881)))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":628694,"operation_count":5,"complexity_ratio":125738.8,"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":5657,"base":11},"right_expr":{"type":"numeric_atoms","value":1900,"base":11}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":7712,"base":11}}}}},"used_operators":["Q3PJZHRvZv","ruOEQAzv1W","2DlMacCsIx","g55IO6H4Gj","DlLNRPXxWL"],"dependent_operators":["fu6greOZ01","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","rGHVDoGpnC"],"result":"⋰*⋻-660","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5657","layer":4},{"info":"number node, value=1900","layer":4},{"info":"compute binary expreesion, left_input=5657, right_input=1900, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=15114","layer":3},{"info":"number node, value=7712","layer":4},{"info":"compute unary expreesion, input=7712, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=15114, right_input=0, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=-792","layer":0}],"base":11,"result_base":11,"text":"⊥(↔(⋰*⋻4283⨸⪁⋰*⋻1478⩨(⫛⫱⨽⋰*⋻5881)))=⋰*⋻-660","reverse_text":"⋰*⋻-660=⊥(↔(⋰*⋻4283⨸⪁⋰*⋻1478⩨(⫛⫱⨽⋰*⋻5881)))","cot":[{"info":"⋰*⋻4283⨸⪁⋰*⋻1478=⋰*⋻103A0","layer":3},{"info":"⫛⫱⨽⋰*⋻5881=⋰*⋻0","layer":3},{"info":"⋰*⋻103A0⩨⋰*⋻0=⋰*⋻0","layer":2},{"info":"↔⋰*⋻0=⋰*⋻658","layer":1},{"info":"⊥⋰*⋻658=⋰*⋻-660","layer":0}]}
{"id":705,"expression_no_base_symbol":"(⨰⫟⨤($2097$⪠⩆⊳)↬(∂$1072$))∼(⫓⪴(⊄⩳↩($1353$≧⫂∧$4535$)))","expression":"(⨰⫟⨤(⋰*⋻1637⪠⩆⊳)↬(∂⋰*⋻895))∼(⫓⪴(⊄⩳↩(⋰*⋻1020≧⫂∧⋰*⋻3453)))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":12230,"operation_count":8,"complexity_ratio":1528.75,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":2097,"base":11}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1072,"base":11}}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1353,"base":11},"right_expr":{"type":"numeric_atoms","value":4535,"base":11}}}}},"used_operators":["DyGG3AbaNP","Tw270M8GLb","B5M0gjZbta","JLbD19bQDL","Uaa54Peajs","eLxqMNBOBk","8w2t5hMYqp","Ph9nP6C5qx"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2097","layer":4},{"info":"compute unary expreesion, input=2097, 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=1072","layer":4},{"info":"compute unary expreesion, input=1072, 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 = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=1353","layer":4},{"info":"number node, value=4535","layer":4},{"info":"compute binary expreesion, left_input=1353, right_input=4535, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4062","layer":3},{"info":"compute unary expreesion, input=4062, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-12186","layer":2},{"info":"compute unary expreesion, input=-12186, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=148498596","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=148498596, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⨰⫟⨤(⋰*⋻1637⪠⩆⊳)↬(∂⋰*⋻895))∼(⫓⪴(⊄⩳↩(⋰*⋻1020≧⫂∧⋰*⋻3453)))=NaN","reverse_text":"NaN=(⨰⫟⨤(⋰*⋻1637⪠⩆⊳)↬(∂⋰*⋻895))∼(⫓⪴(⊄⩳↩(⋰*⋻1020≧⫂∧⋰*⋻3453)))","cot":[{"info":"⋰*⋻1637⪠⩆⊳=⋰*⋻0","layer":3},{"info":"∂⋰*⋻895=NaN","layer":3},{"info":"⋰*⋻0↬NaN=NaN","layer":2},{"info":"⨰⫟⨤NaN=NaN","layer":1},{"info":"⋰*⋻1020≧⫂∧⋰*⋻3453=⋰*⋻3063","layer":3},{"info":"⊄⩳↩⋰*⋻3063=⋰*⋻-9179","layer":2},{"info":"⫓⪴⋰*⋻-9179=⋰*⋻76907214","layer":1},{"info":"NaN∼⋰*⋻76907214=NaN","layer":0}]}
{"id":706,"expression_no_base_symbol":"⪝⪂⫅(($2477$≎⊠⪸$2392$)⊴($2359$⨵⪆$4019$)≎⊠⪸($2225$≧⫂∧$6986$)↬(∂$3684$))","expression":"⪝⪂⫅((⋰*⋻1952≎⊠⪸⋰*⋻1885)⊴(⋰*⋻1855⨵⪆⋰*⋻3024)≎⊠⪸(⋰*⋻1743≧⫂∧⋰*⋻5281)↬(∂⋰*⋻284A))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":90024,"operation_count":8,"complexity_ratio":11253.0,"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":2477,"base":11},"right_expr":{"type":"numeric_atoms","value":2392,"base":11}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2359,"base":11},"right_expr":{"type":"numeric_atoms","value":4019,"base":11}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2225,"base":11},"right_expr":{"type":"numeric_atoms","value":6986,"base":11}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":3684,"base":11}}}}},"used_operators":["XTarYq4gQB","bJkvcejdHO","Nsiff2A1zJ","2DQ55sFlQl","B5M0gjZbta","Ph9nP6C5qx","Uaa54Peajs"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"⋰*⋻-7444","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2477","layer":4},{"info":"number node, value=2392","layer":4},{"info":"compute binary expreesion, left_input=2477, right_input=2392, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=641070","layer":3},{"info":"number node, value=2359","layer":4},{"info":"number node, value=4019","layer":4},{"info":"compute binary expreesion, left_input=2359, right_input=4019, 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=641070, right_input=160, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=2225","layer":4},{"info":"number node, value=6986","layer":4},{"info":"compute binary expreesion, left_input=2225, right_input=6986, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=6513","layer":3},{"info":"number node, value=3684","layer":4},{"info":"compute unary expreesion, input=3684, 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=6513, 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 = 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 = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-9849","layer":0}],"base":11,"result_base":11,"text":"⪝⪂⫅((⋰*⋻1952≎⊠⪸⋰*⋻1885)⊴(⋰*⋻1855⨵⪆⋰*⋻3024)≎⊠⪸(⋰*⋻1743≧⫂∧⋰*⋻5281)↬(∂⋰*⋻284A))=⋰*⋻-7444","reverse_text":"⋰*⋻-7444=⪝⪂⫅((⋰*⋻1952≎⊠⪸⋰*⋻1885)⊴(⋰*⋻1855⨵⪆⋰*⋻3024)≎⊠⪸(⋰*⋻1743≧⫂∧⋰*⋻5281)↬(∂⋰*⋻284A))","cot":[{"info":"⋰*⋻1952≎⊠⪸⋰*⋻1885=⋰*⋻3A8711","layer":3},{"info":"⋰*⋻1855⨵⪆⋰*⋻3024=⋰*⋻136","layer":3},{"info":"⋰*⋻3A8711⊴⋰*⋻136=NaN","layer":2},{"info":"⋰*⋻1743≧⫂∧⋰*⋻5281=⋰*⋻4991","layer":3},{"info":"∂⋰*⋻284A=NaN","layer":3},{"info":"⋰*⋻4991↬NaN=NaN","layer":2},{"info":"NaN≎⊠⪸NaN=⋰*⋻61","layer":1},{"info":"⪝⪂⫅⋰*⋻61=⋰*⋻-7444","layer":0}]}
{"id":707,"expression_no_base_symbol":"(-(⇁⨣⪵$3403$≎⊠⪸$3476$))⨳⩥⨓(($3845$⊭↱$4079$)⪘⫢($5304$⪒$2147$))∼(($1382$⪘⫢$6008$)⪛($3572$⨳⩥⨓$4880$))","expression":"(-(⇁⨣⪵⋰*⋻2614≎⊠⪸⋰*⋻2680))⨳⩥⨓((⋰*⋻2986⊭↱⋰*⋻3079)⪘⫢(⋰*⋻3A92⪒⋰*⋻1682))∼((⋰*⋻1047⪘⫢⋰*⋻4572)⪛(⋰*⋻2758⨳⩥⨓⋰*⋻3737))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":433,"operation_count":11,"complexity_ratio":39.36363636363637,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3403,"base":11},"right_expr":{"type":"numeric_atoms","value":3476,"base":11}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3845,"base":11},"right_expr":{"type":"numeric_atoms","value":4079,"base":11}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":5304,"base":11},"right_expr":{"type":"numeric_atoms","value":2147,"base":11}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1382,"base":11},"right_expr":{"type":"numeric_atoms","value":6008,"base":11}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3572,"base":11},"right_expr":{"type":"numeric_atoms","value":4880,"base":11}}}}},"used_operators":["nCS4ZIUYfx","t8gj7n24qd","inkyxCbjAn","bJkvcejdHO","DyGG3AbaNP","oacrs7FA3X","COABgblf1C","f6k1SAg4EE","uFcxV4UQCh"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","B5M0gjZbta","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3403","layer":4},{"info":"number node, value=3476","layer":4},{"info":"compute binary expreesion, left_input=3403, right_input=3476, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=880904","layer":3},{"info":"compute unary expreesion, input=880904, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":1},{"info":"number node, value=3845","layer":4},{"info":"number node, value=4079","layer":4},{"info":"compute binary expreesion, left_input=3845, right_input=4079, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=473","layer":3},{"info":"number node, value=5304","layer":4},{"info":"number node, value=2147","layer":4},{"info":"compute binary expreesion, left_input=5304, right_input=2147, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7451","layer":3},{"info":"compute binary expreesion, left_input=473, right_input=-7451, 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=1382","layer":4},{"info":"number node, value=6008","layer":4},{"info":"compute binary expreesion, left_input=1382, right_input=6008, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2640","layer":3},{"info":"number node, value=3572","layer":4},{"info":"number node, value=4880","layer":4},{"info":"compute binary expreesion, left_input=3572, right_input=4880, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1308","layer":3},{"info":"compute binary expreesion, left_input=2640, right_input=1308, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=24","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=24, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(-(⇁⨣⪵⋰*⋻2614≎⊠⪸⋰*⋻2680))⨳⩥⨓((⋰*⋻2986⊭↱⋰*⋻3079)⪘⫢(⋰*⋻3A92⪒⋰*⋻1682))∼((⋰*⋻1047⪘⫢⋰*⋻4572)⪛(⋰*⋻2758⨳⩥⨓⋰*⋻3737))=NaN","reverse_text":"NaN=(-(⇁⨣⪵⋰*⋻2614≎⊠⪸⋰*⋻2680))⨳⩥⨓((⋰*⋻2986⊭↱⋰*⋻3079)⪘⫢(⋰*⋻3A92⪒⋰*⋻1682))∼((⋰*⋻1047⪘⫢⋰*⋻4572)⪛(⋰*⋻2758⨳⩥⨓⋰*⋻3737))","cot":[{"info":"⋰*⋻2614≎⊠⪸⋰*⋻2680=⋰*⋻551922","layer":3},{"info":"⇁⨣⪵⋰*⋻551922=NaN","layer":2},{"info":"-NaN=NaN","layer":1},{"info":"⋰*⋻2986⊭↱⋰*⋻3079=⋰*⋻3A0","layer":3},{"info":"⋰*⋻3A92⪒⋰*⋻1682=⋰*⋻-5664","layer":3},{"info":"⋰*⋻3A0⪘⫢⋰*⋻-5664=⋰*⋻-1","layer":2},{"info":"⋰*⋻1047⪘⫢⋰*⋻4572=⋰*⋻1A90","layer":3},{"info":"⋰*⋻2758⨳⩥⨓⋰*⋻3737=⋰*⋻A8A","layer":3},{"info":"⋰*⋻1A90⪛⋰*⋻A8A=⋰*⋻22","layer":2},{"info":"⋰*⋻-1∼⋰*⋻22=⋰*⋻0","layer":1},{"info":"NaN⨳⩥⨓⋰*⋻0=NaN","layer":0}]}
{"id":708,"expression_no_base_symbol":"($2455$⋥≓≎$2329$↺($4534$-$3350$)⪨≂(($1999$%$4880$)≣⋋))⋝⋈⪟(($5840$⨽$1007$)↬(↯⪼$2082$)≎⊠⪸(($2988$⫡⨏$7328$)⩨($2539$⨁⊸⫻)))","expression":"(⋰*⋻1932⋥≓≎⋰*⋻1828↺(⋰*⋻3452-⋰*⋻2576)⪨≂((⋰*⋻1558%⋰*⋻3737)≣⋋))⋝⋈⪟((⋰*⋻442A⨽⋰*⋻836)↬(↯⪼⋰*⋻1623)≎⊠⪸((⋰*⋻2277⫡⨏⋰*⋻5562)⩨(⋰*⋻19A9⨁⊸⫻)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":6435,"operation_count":14,"complexity_ratio":459.64285714285717,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2455,"base":11},"right_expr":{"type":"numeric_atoms","value":2329,"base":11}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4534,"base":11},"right_expr":{"type":"numeric_atoms","value":3350,"base":11}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1999,"base":11},"right_expr":{"type":"numeric_atoms","value":4880,"base":11}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":5840,"base":11},"right_expr":{"type":"numeric_atoms","value":1007,"base":11}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2082,"base":11}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2988,"base":11},"right_expr":{"type":"numeric_atoms","value":7328,"base":11}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":2539,"base":11}}}}},"used_operators":["2DDjHMKMc0","sdazOOVcIp","7j4O788W3g","Qy55tPpLXF","rysDP5nf3Z","Tcnh7f0tEr","k8jYdgA6NY","bJkvcejdHO","B5M0gjZbta","8HhzD0ZcuI","8jW3W4yZS5","2DlMacCsIx","QMFrweE19q","glklzrTFfD"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rGHVDoGpnC","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2455","layer":4},{"info":"number node, value=2329","layer":4},{"info":"compute binary expreesion, left_input=2455, right_input=2329, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2236","layer":3},{"info":"number node, value=4534","layer":4},{"info":"number node, value=3350","layer":4},{"info":"compute binary expreesion, left_input=4534, right_input=3350, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1184","layer":3},{"info":"compute binary expreesion, left_input=2236, right_input=1184, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1184","layer":2},{"info":"number node, value=1999","layer":4},{"info":"number node, value=4880","layer":4},{"info":"compute binary expreesion, left_input=1999, right_input=4880, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1999","layer":3},{"info":"compute unary expreesion, input=1999, 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=1184, 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=2470","layer":1},{"info":"number node, value=5840","layer":4},{"info":"number node, value=1007","layer":4},{"info":"compute binary expreesion, left_input=5840, right_input=1007, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-102318507","layer":3},{"info":"number node, value=2082","layer":4},{"info":"compute unary expreesion, input=2082, 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=-102318507, right_input=-21, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=2988","layer":4},{"info":"number node, value=7328","layer":4},{"info":"compute binary expreesion, left_input=2988, right_input=7328, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=30379","layer":3},{"info":"number node, value=2539","layer":4},{"info":"compute unary expreesion, input=2539, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=2539","layer":3},{"info":"compute binary expreesion, left_input=30379, right_input=2539, 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 = 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=2470, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1932⋥≓≎⋰*⋻1828↺(⋰*⋻3452-⋰*⋻2576)⪨≂((⋰*⋻1558%⋰*⋻3737)≣⋋))⋝⋈⪟((⋰*⋻442A⨽⋰*⋻836)↬(↯⪼⋰*⋻1623)≎⊠⪸((⋰*⋻2277⫡⨏⋰*⋻5562)⩨(⋰*⋻19A9⨁⊸⫻)))=NaN","reverse_text":"NaN=(⋰*⋻1932⋥≓≎⋰*⋻1828↺(⋰*⋻3452-⋰*⋻2576)⪨≂((⋰*⋻1558%⋰*⋻3737)≣⋋))⋝⋈⪟((⋰*⋻442A⨽⋰*⋻836)↬(↯⪼⋰*⋻1623)≎⊠⪸((⋰*⋻2277⫡⨏⋰*⋻5562)⩨(⋰*⋻19A9⨁⊸⫻)))","cot":[{"info":"⋰*⋻1932⋥≓≎⋰*⋻1828=⋰*⋻1753","layer":3},{"info":"⋰*⋻3452-⋰*⋻2576=⋰*⋻987","layer":3},{"info":"⋰*⋻1753↺⋰*⋻987=⋰*⋻987","layer":2},{"info":"⋰*⋻1558%⋰*⋻3737=⋰*⋻1558","layer":3},{"info":"⋰*⋻1558≣⋋=⋰*⋻0","layer":2},{"info":"⋰*⋻987⪨≂⋰*⋻0=⋰*⋻1946","layer":1},{"info":"⋰*⋻442A⨽⋰*⋻836=⋰*⋻-52835455","layer":3},{"info":"↯⪼⋰*⋻1623=⋰*⋻-1A","layer":3},{"info":"⋰*⋻-52835455↬⋰*⋻-1A=NaN","layer":2},{"info":"⋰*⋻2277⫡⨏⋰*⋻5562=⋰*⋻20908","layer":3},{"info":"⋰*⋻19A9⨁⊸⫻=⋰*⋻19A9","layer":3},{"info":"⋰*⋻20908⩨⋰*⋻19A9=⋰*⋻0","layer":2},{"info":"NaN≎⊠⪸⋰*⋻0=NaN","layer":1},{"info":"⋰*⋻1946⋝⋈⪟NaN=NaN","layer":0}]}
{"id":709,"expression_no_base_symbol":"($1316$⩚⊴⇥$1085$⊘)⩚⊴⇥($1523$⪮%⊝$2285$⊭↱($4512$⪨≂$1185$))⨎(+⊝⨔($6765$⨸⪁$1315$))⩷∴(⋗⩬⋾(≤/$4442$))","expression":"(⋰*⋻A97⩚⊴⇥⋰*⋻8A7⊘)⩚⊴⇥(⋰*⋻1165⪮%⊝⋰*⋻1798⊭↱(⋰*⋻3432⪨≂⋰*⋻988))⨎(+⊝⨔(⋰*⋻50A0⨸⪁⋰*⋻A96))⩷∴(⋗⩬⋾(≤/⋰*⋻3379))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":101,"operation_count":12,"complexity_ratio":8.416666666666666,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1316,"base":11},"right_expr":{"type":"numeric_atoms","value":1085,"base":11}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1523,"base":11},"right_expr":{"type":"numeric_atoms","value":2285,"base":11}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4512,"base":11},"right_expr":{"type":"numeric_atoms","value":1185,"base":11}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":6765,"base":11},"right_expr":{"type":"numeric_atoms","value":1315,"base":11}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":4442,"base":11}}}}},"used_operators":["rJVOvQCfKK","NTOWxs364D","gu96TGCTMs","COABgblf1C","IWmyXbctLI","sdazOOVcIp","9FxExcQeMw","DhbWaqg5eL","g55IO6H4Gj","DpFCA1CohY","eLAdDNolq6"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⋰*⋻-14641","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1316","layer":4},{"info":"number node, value=1085","layer":4},{"info":"compute binary expreesion, left_input=1316, right_input=1085, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2522","layer":3},{"info":"compute unary expreesion, input=-2522, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=-1","layer":2},{"info":"number node, value=1523","layer":4},{"info":"number node, value=2285","layer":4},{"info":"compute binary expreesion, left_input=1523, right_input=2285, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3362","layer":3},{"info":"number node, value=4512","layer":4},{"info":"number node, value=1185","layer":4},{"info":"compute binary expreesion, left_input=4512, right_input=1185, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=6756","layer":3},{"info":"compute binary expreesion, left_input=3362, right_input=6756, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=6793","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=6793, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6913","layer":1},{"info":"number node, value=6765","layer":4},{"info":"number node, value=1315","layer":4},{"info":"compute binary expreesion, left_input=6765, right_input=1315, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=16160","layer":3},{"info":"compute unary expreesion, input=16160, 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=4442","layer":4},{"info":"compute unary expreesion, input=4442, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-3958","layer":3},{"info":"compute unary expreesion, input=-3958, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=11874","layer":2},{"info":"compute binary expreesion, left_input=1522, right_input=11874, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-20736","layer":1},{"info":"compute binary expreesion, left_input=-6913, right_input=-20736, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-20736","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻A97⩚⊴⇥⋰*⋻8A7⊘)⩚⊴⇥(⋰*⋻1165⪮%⊝⋰*⋻1798⊭↱(⋰*⋻3432⪨≂⋰*⋻988))⨎(+⊝⨔(⋰*⋻50A0⨸⪁⋰*⋻A96))⩷∴(⋗⩬⋾(≤/⋰*⋻3379))=⋰*⋻-14641","reverse_text":"⋰*⋻-14641=(⋰*⋻A97⩚⊴⇥⋰*⋻8A7⊘)⩚⊴⇥(⋰*⋻1165⪮%⊝⋰*⋻1798⊭↱(⋰*⋻3432⪨≂⋰*⋻988))⨎(+⊝⨔(⋰*⋻50A0⨸⪁⋰*⋻A96))⩷∴(⋗⩬⋾(≤/⋰*⋻3379))","cot":[{"info":"⋰*⋻A97⩚⊴⇥⋰*⋻8A7=⋰*⋻-1993","layer":3},{"info":"⋰*⋻-1993⊘=⋰*⋻-1","layer":2},{"info":"⋰*⋻1165⪮%⊝⋰*⋻1798=⋰*⋻2587","layer":3},{"info":"⋰*⋻3432⪨≂⋰*⋻988=⋰*⋻5092","layer":3},{"info":"⋰*⋻2587⊭↱⋰*⋻5092=⋰*⋻5116","layer":2},{"info":"⋰*⋻-1⩚⊴⇥⋰*⋻5116=⋰*⋻-5215","layer":1},{"info":"⋰*⋻50A0⨸⪁⋰*⋻A96=⋰*⋻11161","layer":3},{"info":"+⊝⨔⋰*⋻11161=⋰*⋻1164","layer":2},{"info":"≤/⋰*⋻3379=⋰*⋻-2A79","layer":3},{"info":"⋗⩬⋾⋰*⋻-2A79=⋰*⋻8A15","layer":2},{"info":"⋰*⋻1164⩷∴⋰*⋻8A15=⋰*⋻-14641","layer":1},{"info":"⋰*⋻-5215⨎⋰*⋻-14641=⋰*⋻-14641","layer":0}]}
{"id":710,"expression_no_base_symbol":"($1320$≋⫹)⩚⊴⇥(∥⊫$4456$)↙($4517$⨵⪆$1047$)⊴($4434$≧⫂∧$1389$)⪒($2920$⨳⩥⨓$1041$⪒(⨞⊢$2665$))⊴(⇁⨣⪵(⊥$2543$))","expression":"(⋰*⋻AA0≋⫹)⩚⊴⇥(∥⊫⋰*⋻3391)↙(⋰*⋻3437⨵⪆⋰*⋻872)⊴(⋰*⋻3371≧⫂∧⋰*⋻1053)⪒(⋰*⋻2215⨳⩥⨓⋰*⋻867⪒(⨞⊢⋰*⋻2003))⊴(⇁⨣⪵(⊥⋰*⋻1A02))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":955,"operation_count":14,"complexity_ratio":68.21428571428571,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1320,"base":11}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":4456,"base":11}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":4517,"base":11},"right_expr":{"type":"numeric_atoms","value":1047,"base":11}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4434,"base":11},"right_expr":{"type":"numeric_atoms","value":1389,"base":11}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2920,"base":11},"right_expr":{"type":"numeric_atoms","value":1041,"base":11}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2665,"base":11}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":2543,"base":11}}}}},"used_operators":["f6k1SAg4EE","yyfyN0ffXY","NTOWxs364D","N41Kp7NANJ","P8v4zCKN1o","Nsiff2A1zJ","2DQ55sFlQl","Ph9nP6C5qx","nCS4ZIUYfx","xUOZtlo3hN","inkyxCbjAn","Q3PJZHRvZv"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1320","layer":4},{"info":"compute unary expreesion, input=1320, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2640","layer":3},{"info":"number node, value=4456","layer":4},{"info":"compute unary expreesion, input=4456, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=5324","layer":3},{"info":"compute binary expreesion, left_input=-2640, right_input=5324, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2805","layer":2},{"info":"number node, value=4517","layer":4},{"info":"number node, value=1047","layer":4},{"info":"compute binary expreesion, left_input=4517, right_input=1047, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=4434","layer":4},{"info":"number node, value=1389","layer":4},{"info":"compute binary expreesion, left_input=4434, right_input=1389, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=916","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=916, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2805, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-2805","layer":1},{"info":"number node, value=2920","layer":4},{"info":"number node, value=1041","layer":4},{"info":"compute binary expreesion, left_input=2920, right_input=1041, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1879","layer":3},{"info":"number node, value=2665","layer":4},{"info":"compute unary expreesion, input=2665, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2839","layer":3},{"info":"compute binary expreesion, left_input=-1879, right_input=-2839, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=4718","layer":2},{"info":"number node, value=2543","layer":4},{"info":"compute unary expreesion, input=2543, op_id = Q3PJZHRvZv, unary_op_definition = '⊥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=4718, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-2805, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻AA0≋⫹)⩚⊴⇥(∥⊫⋰*⋻3391)↙(⋰*⋻3437⨵⪆⋰*⋻872)⊴(⋰*⋻3371≧⫂∧⋰*⋻1053)⪒(⋰*⋻2215⨳⩥⨓⋰*⋻867⪒(⨞⊢⋰*⋻2003))⊴(⇁⨣⪵(⊥⋰*⋻1A02))=NaN","reverse_text":"NaN=(⋰*⋻AA0≋⫹)⩚⊴⇥(∥⊫⋰*⋻3391)↙(⋰*⋻3437⨵⪆⋰*⋻872)⊴(⋰*⋻3371≧⫂∧⋰*⋻1053)⪒(⋰*⋻2215⨳⩥⨓⋰*⋻867⪒(⨞⊢⋰*⋻2003))⊴(⇁⨣⪵(⊥⋰*⋻1A02))","cot":[{"info":"⋰*⋻AA0≋⫹=⋰*⋻-1A90","layer":3},{"info":"∥⊫⋰*⋻3391=⋰*⋻4000","layer":3},{"info":"⋰*⋻-1A90⩚⊴⇥⋰*⋻4000=⋰*⋻-2120","layer":2},{"info":"⋰*⋻3437⨵⪆⋰*⋻872=⋰*⋻136","layer":3},{"info":"⋰*⋻3371≧⫂∧⋰*⋻1053=⋰*⋻763","layer":3},{"info":"⋰*⋻136⊴⋰*⋻763=NaN","layer":2},{"info":"⋰*⋻-2120↙NaN=⋰*⋻-2120","layer":1},{"info":"⋰*⋻2215⨳⩥⨓⋰*⋻867=⋰*⋻-1459","layer":3},{"info":"⨞⊢⋰*⋻2003=⋰*⋻-2151","layer":3},{"info":"⋰*⋻-1459⪒⋰*⋻-2151=⋰*⋻35AA","layer":2},{"info":"⊥⋰*⋻1A02=NaN","layer":3},{"info":"⇁⨣⪵NaN=NaN","layer":2},{"info":"⋰*⋻35AA⊴NaN=NaN","layer":1},{"info":"⋰*⋻-2120⪒NaN=NaN","layer":0}]}
{"id":711,"expression_no_base_symbol":"($1985$⋳⪒$1471$)⇷($1332$↺$3493$)≭(⋗⩬⋾$2549$)⨟⋌⩍($5604$⊭↱$1240$)↺((↩$5350$↙$1982$)⪨≂($1259$↙$4796$)≭($1868$⊦⊿))","expression":"(⋰*⋻1545⋳⪒⋰*⋻1118)⇷(⋰*⋻1001↺⋰*⋻2696)≭(⋗⩬⋾⋰*⋻1A08)⨟⋌⩍(⋰*⋻4235⊭↱⋰*⋻A28)↺((↩⋰*⋻4024↙⋰*⋻1542)⪨≂(⋰*⋻A45↙⋰*⋻3670)≭(⋰*⋻1449⊦⊿))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":37812,"operation_count":14,"complexity_ratio":2700.8571428571427,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1985,"base":11},"right_expr":{"type":"numeric_atoms","value":1471,"base":11}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1332,"base":11},"right_expr":{"type":"numeric_atoms","value":3493,"base":11}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":2549,"base":11}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":5604,"base":11},"right_expr":{"type":"numeric_atoms","value":1240,"base":11}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":5350,"base":11},"right_expr":{"type":"numeric_atoms","value":1982,"base":11}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1259,"base":11},"right_expr":{"type":"numeric_atoms","value":4796,"base":11}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1868,"base":11}}}}},"used_operators":["7j4O788W3g","rxpJgHHUmx","mp7IySMOzn","12rbrZMWeM","rGHVDoGpnC","DpFCA1CohY","COABgblf1C","sdazOOVcIp","jLgFTUHLKL","yyfyN0ffXY","14qkJME0vr"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1985","layer":4},{"info":"number node, value=1471","layer":4},{"info":"compute binary expreesion, left_input=1985, right_input=1471, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2212","layer":3},{"info":"number node, value=1332","layer":4},{"info":"number node, value=3493","layer":4},{"info":"compute binary expreesion, left_input=1332, right_input=3493, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3493","layer":3},{"info":"compute binary expreesion, left_input=2212, right_input=3493, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6986","layer":2},{"info":"number node, value=2549","layer":4},{"info":"compute unary expreesion, input=2549, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-7647","layer":3},{"info":"number node, value=5604","layer":4},{"info":"number node, value=1240","layer":4},{"info":"compute binary expreesion, left_input=5604, right_input=1240, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-8723","layer":3},{"info":"compute binary expreesion, left_input=-7647, right_input=-8723, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=6986, 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=5350","layer":4},{"info":"number node, value=1982","layer":4},{"info":"compute binary expreesion, left_input=5350, right_input=1982, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5946","layer":3},{"info":"compute unary expreesion, input=-5946, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=26404","layer":2},{"info":"number node, value=1259","layer":4},{"info":"number node, value=4796","layer":4},{"info":"compute binary expreesion, left_input=1259, right_input=4796, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-14388","layer":3},{"info":"number node, value=1868","layer":4},{"info":"compute unary expreesion, input=1868, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-5683","layer":3},{"info":"compute binary expreesion, left_input=-14388, right_input=-5683, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=26404, 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 = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1545⋳⪒⋰*⋻1118)⇷(⋰*⋻1001↺⋰*⋻2696)≭(⋗⩬⋾⋰*⋻1A08)⨟⋌⩍(⋰*⋻4235⊭↱⋰*⋻A28)↺((↩⋰*⋻4024↙⋰*⋻1542)⪨≂(⋰*⋻A45↙⋰*⋻3670)≭(⋰*⋻1449⊦⊿))=NaN","reverse_text":"NaN=(⋰*⋻1545⋳⪒⋰*⋻1118)⇷(⋰*⋻1001↺⋰*⋻2696)≭(⋗⩬⋾⋰*⋻1A08)⨟⋌⩍(⋰*⋻4235⊭↱⋰*⋻A28)↺((↩⋰*⋻4024↙⋰*⋻1542)⪨≂(⋰*⋻A45↙⋰*⋻3670)≭(⋰*⋻1449⊦⊿))","cot":[{"info":"⋰*⋻1545⋳⪒⋰*⋻1118=⋰*⋻1731","layer":3},{"info":"⋰*⋻1001↺⋰*⋻2696=⋰*⋻2696","layer":3},{"info":"⋰*⋻1731⇷⋰*⋻2696=⋰*⋻5281","layer":2},{"info":"⋗⩬⋾⋰*⋻1A08=⋰*⋻-5822","layer":3},{"info":"⋰*⋻4235⊭↱⋰*⋻A28=⋰*⋻-6610","layer":3},{"info":"⋰*⋻-5822⨟⋌⩍⋰*⋻-6610=NaN","layer":2},{"info":"⋰*⋻5281≭NaN=NaN","layer":1},{"info":"⋰*⋻4024↙⋰*⋻1542=⋰*⋻-4516","layer":3},{"info":"↩⋰*⋻-4516=⋰*⋻18924","layer":2},{"info":"⋰*⋻A45↙⋰*⋻3670=⋰*⋻-A8A0","layer":3},{"info":"⋰*⋻1449⊦⊿=⋰*⋻-42A7","layer":3},{"info":"⋰*⋻-A8A0≭⋰*⋻-42A7=NaN","layer":2},{"info":"⋰*⋻18924⪨≂NaN=NaN","layer":1},{"info":"NaN↺NaN=NaN","layer":0}]}
{"id":712,"expression_no_base_symbol":"⩦⩻⨪((⪲⇎$1988$⋥≓≎$2000$)⊭↱($2633$⫡⨏$3389$)∼($1003$⨎$4133$))","expression":"⩦⩻⨪((⪲⇎⋰*⋻1548⋥≓≎⋰*⋻1559)⊭↱(⋰*⋻1A84⫡⨏⋰*⋻2601)∼(⋰*⋻832⨎⋰*⋻3118))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":431,"operation_count":7,"complexity_ratio":61.57142857142857,"tree":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1988,"base":11},"right_expr":{"type":"numeric_atoms","value":2000,"base":11}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2633,"base":11},"right_expr":{"type":"numeric_atoms","value":3389,"base":11}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1003,"base":11},"right_expr":{"type":"numeric_atoms","value":4133,"base":11}}}}},"used_operators":["2td37pGCOC","COABgblf1C","XPYlsWDdGa","Qy55tPpLXF","DyGG3AbaNP","QMFrweE19q","rJVOvQCfKK"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1988","layer":4},{"info":"number node, value=2000","layer":4},{"info":"compute binary expreesion, left_input=1988, right_input=2000, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2045","layer":3},{"info":"compute unary expreesion, input=2045, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=4090","layer":2},{"info":"number node, value=2633","layer":4},{"info":"number node, value=3389","layer":4},{"info":"compute binary expreesion, left_input=2633, right_input=3389, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=20726","layer":3},{"info":"number node, value=1003","layer":4},{"info":"number node, value=4133","layer":4},{"info":"compute binary expreesion, left_input=1003, right_input=4133, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4133","layer":3},{"info":"compute binary expreesion, left_input=20726, right_input=4133, 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=4090, 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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⩦⩻⨪((⪲⇎⋰*⋻1548⋥≓≎⋰*⋻1559)⊭↱(⋰*⋻1A84⫡⨏⋰*⋻2601)∼(⋰*⋻832⨎⋰*⋻3118))=NaN","reverse_text":"NaN=⩦⩻⨪((⪲⇎⋰*⋻1548⋥≓≎⋰*⋻1559)⊭↱(⋰*⋻1A84⫡⨏⋰*⋻2601)∼(⋰*⋻832⨎⋰*⋻3118))","cot":[{"info":"⋰*⋻1548⋥≓≎⋰*⋻1559=⋰*⋻159A","layer":3},{"info":"⪲⇎⋰*⋻159A=⋰*⋻3089","layer":2},{"info":"⋰*⋻1A84⫡⨏⋰*⋻2601=⋰*⋻14632","layer":3},{"info":"⋰*⋻832⨎⋰*⋻3118=⋰*⋻3118","layer":3},{"info":"⋰*⋻14632∼⋰*⋻3118=NaN","layer":2},{"info":"⋰*⋻3089⊭↱NaN=NaN","layer":1},{"info":"⩦⩻⨪NaN=NaN","layer":0}]}
{"id":713,"expression_no_base_symbol":"(($4488$⊘)⨰(↔$5475$))⇷(⪲⇎($1563$⨵⪆$2453$))⋥≓≎($4087$≭$5600$*($1520$⇼⇔∾$1295$))⫥∨⫟(⨰⫟⨤($1238$+$2064$))","expression":"((⋰*⋻3410⊘)⨰(↔⋰*⋻4128))⇷(⪲⇎(⋰*⋻11A1⨵⪆⋰*⋻1930))⋥≓≎(⋰*⋻3086≭⋰*⋻4231*(⋰*⋻1162⇼⇔∾⋰*⋻A78))⫥∨⫟(⨰⫟⨤(⋰*⋻A26+⋰*⋻1607))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":85540,"operation_count":13,"complexity_ratio":6580.0,"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":4488,"base":11}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":5475,"base":11}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1563,"base":11},"right_expr":{"type":"numeric_atoms","value":2453,"base":11}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4087,"base":11},"right_expr":{"type":"numeric_atoms","value":5600,"base":11}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1520,"base":11},"right_expr":{"type":"numeric_atoms","value":1295,"base":11}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1238,"base":11},"right_expr":{"type":"numeric_atoms","value":2064,"base":11}}}}},"used_operators":["Qy55tPpLXF","mp7IySMOzn","eewbuw0ToL","gu96TGCTMs","ruOEQAzv1W","XPYlsWDdGa","2DQ55sFlQl","KYD54nUTWz","9HNa5Wba9A","rxpJgHHUmx","tifHPKVTfV","Tw270M8GLb","W4YGzv6Whe"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4488","layer":4},{"info":"compute unary expreesion, input=4488, 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=5475","layer":4},{"info":"compute unary expreesion, input=5475, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-5202","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-5202, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=5212","layer":2},{"info":"number node, value=1563","layer":4},{"info":"number node, value=2453","layer":4},{"info":"compute binary expreesion, left_input=1563, right_input=2453, 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 = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=320","layer":2},{"info":"compute binary expreesion, left_input=5212, right_input=320, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=640","layer":1},{"info":"number node, value=4087","layer":4},{"info":"number node, value=5600","layer":4},{"info":"compute binary expreesion, left_input=4087, right_input=5600, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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":"number node, value=1295","layer":4},{"info":"compute binary expreesion, left_input=1520, right_input=1295, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-225","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-225, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1238","layer":4},{"info":"number node, value=2064","layer":4},{"info":"compute binary expreesion, left_input=1238, right_input=2064, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3302","layer":3},{"info":"compute unary expreesion, input=3302, 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 = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=640, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻3410⊘)⨰(↔⋰*⋻4128))⇷(⪲⇎(⋰*⋻11A1⨵⪆⋰*⋻1930))⋥≓≎(⋰*⋻3086≭⋰*⋻4231*(⋰*⋻1162⇼⇔∾⋰*⋻A78))⫥∨⫟(⨰⫟⨤(⋰*⋻A26+⋰*⋻1607))=NaN","reverse_text":"NaN=((⋰*⋻3410⊘)⨰(↔⋰*⋻4128))⇷(⪲⇎(⋰*⋻11A1⨵⪆⋰*⋻1930))⋥≓≎(⋰*⋻3086≭⋰*⋻4231*(⋰*⋻1162⇼⇔∾⋰*⋻A78))⫥∨⫟(⨰⫟⨤(⋰*⋻A26+⋰*⋻1607))","cot":[{"info":"⋰*⋻3410⊘=⋰*⋻0","layer":3},{"info":"↔⋰*⋻4128=⋰*⋻-39AA","layer":3},{"info":"⋰*⋻0⨰⋰*⋻-39AA=⋰*⋻3A09","layer":2},{"info":"⋰*⋻11A1⨵⪆⋰*⋻1930=⋰*⋻136","layer":3},{"info":"⪲⇎⋰*⋻136=⋰*⋻271","layer":2},{"info":"⋰*⋻3A09⇷⋰*⋻271=⋰*⋻532","layer":1},{"info":"⋰*⋻3086≭⋰*⋻4231=NaN","layer":3},{"info":"⋰*⋻1162⇼⇔∾⋰*⋻A78=⋰*⋻-195","layer":3},{"info":"NaN*⋰*⋻-195=NaN","layer":2},{"info":"⋰*⋻A26+⋰*⋻1607=⋰*⋻2532","layer":3},{"info":"⨰⫟⨤⋰*⋻2532=NaN","layer":2},{"info":"NaN⫥∨⫟NaN=NaN","layer":1},{"info":"⋰*⋻532⋥≓≎NaN=NaN","layer":0}]}
{"id":714,"expression_no_base_symbol":"($2711$∀⇚≩$2957$⩷∴($5061$-$2025$)%($7720$⫥∨⫟$1935$)⨓($6177$/$6067$))⨐⩸⫘((-$1089$)⫥∨⫟(⨵≀≌$5167$))↬($3690$⨵⪆$1542$⪨≂$2207$∀⇚≩$4854$)","expression":"(⋰*⋻2045∀⇚≩⋰*⋻2249⩷∴(⋰*⋻3891-⋰*⋻1581)%(⋰*⋻5889⫥∨⫟⋰*⋻14AA)⨓(⋰*⋻4706/⋰*⋻4616))⨐⩸⫘((-⋰*⋻900)⫥∨⫟(⨵≀≌⋰*⋻3978))↬(⋰*⋻2855⨵⪆⋰*⋻1182⪨≂⋰*⋻1727∀⇚≩⋰*⋻3713)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":34762,"operation_count":15,"complexity_ratio":2317.4666666666667,"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":2711,"base":11},"right_expr":{"type":"numeric_atoms","value":2957,"base":11}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":5061,"base":11},"right_expr":{"type":"numeric_atoms","value":2025,"base":11}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":7720,"base":11},"right_expr":{"type":"numeric_atoms","value":1935,"base":11}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":6177,"base":11},"right_expr":{"type":"numeric_atoms","value":6067,"base":11}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1089,"base":11}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":5167,"base":11}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3690,"base":11},"right_expr":{"type":"numeric_atoms","value":1542,"base":11}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2207,"base":11},"right_expr":{"type":"numeric_atoms","value":4854,"base":11}}}}},"used_operators":["fu6greOZ01","k8jYdgA6NY","9FxExcQeMw","LRNGc0VcxI","rysDP5nf3Z","3ViojmjbAp","KYD54nUTWz","XhwjNDsVaA","B5M0gjZbta","t8gj7n24qd","srAu1WTS94","sdazOOVcIp","2DQ55sFlQl"],"dependent_operators":["3ViojmjbAp","rysDP5nf3Z","rysDP5nf3Z","X99M06cbEe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","rGHVDoGpnC","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2711","layer":4},{"info":"number node, value=2957","layer":4},{"info":"compute binary expreesion, left_input=2711, right_input=2957, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=5061","layer":4},{"info":"number node, value=2025","layer":4},{"info":"compute binary expreesion, left_input=5061, right_input=2025, op_id = rysDP5nf3Z binary_op_definition= 'None', output=3036","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3036, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"number node, value=7720","layer":4},{"info":"number node, value=1935","layer":4},{"info":"compute binary expreesion, left_input=7720, right_input=1935, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=6177","layer":4},{"info":"number node, value=6067","layer":4},{"info":"compute binary expreesion, left_input=6177, right_input=6067, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-4, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1089","layer":4},{"info":"compute unary expreesion, input=1089, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1089","layer":3},{"info":"number node, value=5167","layer":4},{"info":"compute unary expreesion, input=5167, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-15501","layer":3},{"info":"compute binary expreesion, left_input=-1089, right_input=-15501, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=3690","layer":4},{"info":"number node, value=1542","layer":4},{"info":"compute binary expreesion, left_input=3690, right_input=1542, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=2207","layer":4},{"info":"number node, value=4854","layer":4},{"info":"compute binary expreesion, left_input=2207, 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=160, 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 = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻2045∀⇚≩⋰*⋻2249⩷∴(⋰*⋻3891-⋰*⋻1581)%(⋰*⋻5889⫥∨⫟⋰*⋻14AA)⨓(⋰*⋻4706/⋰*⋻4616))⨐⩸⫘((-⋰*⋻900)⫥∨⫟(⨵≀≌⋰*⋻3978))↬(⋰*⋻2855⨵⪆⋰*⋻1182⪨≂⋰*⋻1727∀⇚≩⋰*⋻3713)=NaN","reverse_text":"NaN=(⋰*⋻2045∀⇚≩⋰*⋻2249⩷∴(⋰*⋻3891-⋰*⋻1581)%(⋰*⋻5889⫥∨⫟⋰*⋻14AA)⨓(⋰*⋻4706/⋰*⋻4616))⨐⩸⫘((-⋰*⋻900)⫥∨⫟(⨵≀≌⋰*⋻3978))↬(⋰*⋻2855⨵⪆⋰*⋻1182⪨≂⋰*⋻1727∀⇚≩⋰*⋻3713)","cot":[{"info":"⋰*⋻2045∀⇚≩⋰*⋻2249=NaN","layer":3},{"info":"⋰*⋻3891-⋰*⋻1581=⋰*⋻2310","layer":3},{"info":"NaN⩷∴⋰*⋻2310=NaN","layer":2},{"info":"⋰*⋻5889⫥∨⫟⋰*⋻14AA=NaN","layer":3},{"info":"⋰*⋻4706/⋰*⋻4616=⋰*⋻1","layer":3},{"info":"NaN⨓⋰*⋻1=⋰*⋻-4","layer":2},{"info":"NaN%⋰*⋻-4=NaN","layer":1},{"info":"-⋰*⋻900=⋰*⋻-900","layer":3},{"info":"⨵≀≌⋰*⋻3978=⋰*⋻-10712","layer":3},{"info":"⋰*⋻-900⫥∨⫟⋰*⋻-10712=NaN","layer":2},{"info":"⋰*⋻2855⨵⪆⋰*⋻1182=⋰*⋻136","layer":3},{"info":"⋰*⋻1727∀⇚≩⋰*⋻3713=NaN","layer":3},{"info":"⋰*⋻136⪨≂NaN=NaN","layer":2},{"info":"NaN↬NaN=NaN","layer":1},{"info":"NaN⨐⩸⫘NaN=NaN","layer":0}]}
{"id":715,"expression_no_base_symbol":"⨑⩽⪐(($2001$↺$1335$)↬($1209$⇼⇔∾$2978$)↪⪝)","expression":"⨑⩽⪐((⋰*⋻155A↺⋰*⋻1004)↬(⋰*⋻9AA⇼⇔∾⋰*⋻2268)↪⪝)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":17,"operation_count":5,"complexity_ratio":3.4,"tree":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2001,"base":11},"right_expr":{"type":"numeric_atoms","value":1335,"base":11}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1209,"base":11},"right_expr":{"type":"numeric_atoms","value":2978,"base":11}}}}},"used_operators":["AF7qkfDlqP","l07mrZUIn9","B5M0gjZbta","7j4O788W3g","tifHPKVTfV"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","9HNa5Wba9A","2DDjHMKMc0","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=2001","layer":4},{"info":"number node, value=1335","layer":4},{"info":"compute binary expreesion, left_input=2001, right_input=1335, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1335","layer":3},{"info":"number node, value=1209","layer":4},{"info":"number node, value=2978","layer":4},{"info":"compute binary expreesion, left_input=1209, right_input=2978, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1769","layer":3},{"info":"compute binary expreesion, left_input=1335, right_input=1769, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*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":11,"result_base":11,"text":"⨑⩽⪐((⋰*⋻155A↺⋰*⋻1004)↬(⋰*⋻9AA⇼⇔∾⋰*⋻2268)↪⪝)=NaN","reverse_text":"NaN=⨑⩽⪐((⋰*⋻155A↺⋰*⋻1004)↬(⋰*⋻9AA⇼⇔∾⋰*⋻2268)↪⪝)","cot":[{"info":"⋰*⋻155A↺⋰*⋻1004=⋰*⋻1004","layer":3},{"info":"⋰*⋻9AA⇼⇔∾⋰*⋻2268=⋰*⋻1369","layer":3},{"info":"⋰*⋻1004↬⋰*⋻1369=NaN","layer":2},{"info":"NaN↪⪝=NaN","layer":1},{"info":"⨑⩽⪐NaN=NaN","layer":0}]}
{"id":716,"expression_no_base_symbol":"(($5797$⩚⊴⇥$2368$)≧⫂∧(⇁⨣⪵$1609$)⫡⨏(≉$1196$⨪↰⇹$3614$))⫸⊐((($1018$⇼⇔∾$4709$)∸)⩨($1081$↬$6005$⫡⨏($5774$∸)))","expression":"((⋰*⋻43A0⩚⊴⇥⋰*⋻1863)≧⫂∧(⇁⨣⪵⋰*⋻1233)⫡⨏(≉⋰*⋻998⨪↰⇹⋰*⋻2796))⫸⊐(((⋰*⋻846⇼⇔∾⋰*⋻35A1)∸)⩨(⋰*⋻8A3↬⋰*⋻456A⫡⨏(⋰*⋻437A∸)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1582,"operation_count":13,"complexity_ratio":121.6923076923077,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":5797,"base":11},"right_expr":{"type":"numeric_atoms","value":2368,"base":11}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1609,"base":11}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1196,"base":11},"right_expr":{"type":"numeric_atoms","value":3614,"base":11}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1018,"base":11},"right_expr":{"type":"numeric_atoms","value":4709,"base":11}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1081,"base":11},"right_expr":{"type":"numeric_atoms","value":6005,"base":11}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":5774,"base":11}}}}},"used_operators":["mqXw5SEYmG","QMFrweE19q","Ph9nP6C5qx","NTOWxs364D","inkyxCbjAn","e1ybzncUwg","tmPS8pqC7x","2DlMacCsIx","o20kRiQErp","tifHPKVTfV","B5M0gjZbta"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5797","layer":4},{"info":"number node, value=2368","layer":4},{"info":"compute binary expreesion, left_input=5797, right_input=2368, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8286","layer":3},{"info":"number node, value=1609","layer":4},{"info":"compute unary expreesion, input=1609, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-8286, 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=1196","layer":4},{"info":"number node, value=3614","layer":4},{"info":"compute binary expreesion, left_input=1196, right_input=3614, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1196","layer":3},{"info":"compute unary expreesion, input=1196, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1727","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1727, op_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=1018","layer":4},{"info":"number node, value=4709","layer":4},{"info":"compute binary expreesion, left_input=1018, right_input=4709, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=3691","layer":3},{"info":"compute unary expreesion, input=3691, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"number node, value=1081","layer":4},{"info":"number node, value=6005","layer":4},{"info":"compute binary expreesion, left_input=1081, right_input=6005, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=5774","layer":4},{"info":"compute unary expreesion, input=5774, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=nan, 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=nan","layer":2},{"info":"compute binary expreesion, left_input=177, 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 = 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":11,"result_base":11,"text":"((⋰*⋻43A0⩚⊴⇥⋰*⋻1863)≧⫂∧(⇁⨣⪵⋰*⋻1233)⫡⨏(≉⋰*⋻998⨪↰⇹⋰*⋻2796))⫸⊐(((⋰*⋻846⇼⇔∾⋰*⋻35A1)∸)⩨(⋰*⋻8A3↬⋰*⋻456A⫡⨏(⋰*⋻437A∸)))=NaN","reverse_text":"NaN=((⋰*⋻43A0⩚⊴⇥⋰*⋻1863)≧⫂∧(⇁⨣⪵⋰*⋻1233)⫡⨏(≉⋰*⋻998⨪↰⇹⋰*⋻2796))⫸⊐(((⋰*⋻846⇼⇔∾⋰*⋻35A1)∸)⩨(⋰*⋻8A3↬⋰*⋻456A⫡⨏(⋰*⋻437A∸)))","cot":[{"info":"⋰*⋻43A0⩚⊴⇥⋰*⋻1863=⋰*⋻-6253","layer":3},{"info":"⇁⨣⪵⋰*⋻1233=NaN","layer":3},{"info":"⋰*⋻-6253≧⫂∧NaN=NaN","layer":2},{"info":"⋰*⋻998⨪↰⇹⋰*⋻2796=⋰*⋻998","layer":3},{"info":"≉⋰*⋻998=⋰*⋻1330","layer":2},{"info":"NaN⫡⨏⋰*⋻1330=NaN","layer":1},{"info":"⋰*⋻846⇼⇔∾⋰*⋻35A1=⋰*⋻2856","layer":3},{"info":"⋰*⋻2856∸=⋰*⋻151","layer":2},{"info":"⋰*⋻8A3↬⋰*⋻456A=NaN","layer":3},{"info":"⋰*⋻437A∸=⋰*⋻151","layer":3},{"info":"NaN⫡⨏⋰*⋻151=NaN","layer":2},{"info":"⋰*⋻151⩨NaN=NaN","layer":1},{"info":"NaN⫸⊐NaN=NaN","layer":0}]}
{"id":717,"expression_no_base_symbol":"⇁⨣⪵(-($4766$≣⋋))⫸⊐($1723$+$1969$)⨓($1410$⋓$1165$)","expression":"⇁⨣⪵(-(⋰*⋻3643≣⋋))⫸⊐(⋰*⋻1327+⋰*⋻1530)⨓(⋰*⋻1072⋓⋰*⋻96A)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":541,"operation_count":7,"complexity_ratio":77.28571428571429,"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":4766,"base":11}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1723,"base":11},"right_expr":{"type":"numeric_atoms","value":1969,"base":11}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1410,"base":11},"right_expr":{"type":"numeric_atoms","value":1165,"base":11}}}}},"used_operators":["inkyxCbjAn","mqXw5SEYmG","t8gj7n24qd","Tcnh7f0tEr","3ViojmjbAp","W4YGzv6Whe","T2fj7uvVaJ"],"dependent_operators":["B5M0gjZbta","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=4766","layer":4},{"info":"compute unary expreesion, input=4766, 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 = t8gj7n24qd, unary_op_definition = 'None', output=0","layer":2},{"info":"number node, value=1723","layer":4},{"info":"number node, value=1969","layer":4},{"info":"compute binary expreesion, left_input=1723, right_input=1969, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3692","layer":3},{"info":"number node, value=1410","layer":4},{"info":"number node, value=1165","layer":4},{"info":"compute binary expreesion, left_input=1410, right_input=1165, op_id = T2fj7uvVaJ binary_op_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=3692, 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=0, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=0","layer":0}],"base":11,"result_base":11,"text":"⇁⨣⪵(-(⋰*⋻3643≣⋋))⫸⊐(⋰*⋻1327+⋰*⋻1530)⨓(⋰*⋻1072⋓⋰*⋻96A)=⋰*⋻0","reverse_text":"⋰*⋻0=⇁⨣⪵(-(⋰*⋻3643≣⋋))⫸⊐(⋰*⋻1327+⋰*⋻1530)⨓(⋰*⋻1072⋓⋰*⋻96A)","cot":[{"info":"⋰*⋻3643≣⋋=⋰*⋻0","layer":3},{"info":"-⋰*⋻0=⋰*⋻0","layer":2},{"info":"⋰*⋻1327+⋰*⋻1530=⋰*⋻2857","layer":3},{"info":"⋰*⋻1072⋓⋰*⋻96A=⋰*⋻0","layer":3},{"info":"⋰*⋻2857⨓⋰*⋻0=NaN","layer":2},{"info":"⋰*⋻0⫸⊐NaN=⋰*⋻0","layer":1},{"info":"⇁⨣⪵⋰*⋻0=⋰*⋻0","layer":0}]}
{"id":718,"expression_no_base_symbol":"(($1203$⪛$1063$↪⪝)%$6070$∀⇚≩$1418$⋝⋈⪟(⨵≀≌$1749$))⊭↱($6208$≧⫂∧$3601$-(⨵≀≌$1061$))⪛(($8360$⨁⊸⫻)≦≮≮)","expression":"((⋰*⋻9A4⪛⋰*⋻887↪⪝)%⋰*⋻4619∀⇚≩⋰*⋻107A⋝⋈⪟(⨵≀≌⋰*⋻1350))⊭↱(⋰*⋻4734≧⫂∧⋰*⋻2784-(⨵≀≌⋰*⋻885))⪛((⋰*⋻6310⨁⊸⫻)≦≮≮)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":42766,"operation_count":13,"complexity_ratio":3289.6923076923076,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1203,"base":11},"right_expr":{"type":"numeric_atoms","value":1063,"base":11}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":6070,"base":11},"right_expr":{"type":"numeric_atoms","value":1418,"base":11}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1749,"base":11}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":6208,"base":11},"right_expr":{"type":"numeric_atoms","value":3601,"base":11}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1061,"base":11}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":8360,"base":11}}}}},"used_operators":["COABgblf1C","k8jYdgA6NY","l07mrZUIn9","uFcxV4UQCh","2DDjHMKMc0","LRNGc0VcxI","srAu1WTS94","rysDP5nf3Z","Ph9nP6C5qx","D4vGDi5EA2","glklzrTFfD"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","2DDjHMKMc0","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1203","layer":4},{"info":"number node, value=1063","layer":4},{"info":"compute binary expreesion, left_input=1203, right_input=1063, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=140","layer":3},{"info":"compute unary expreesion, input=140, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=8565480","layer":2},{"info":"number node, value=6070","layer":4},{"info":"number node, value=1418","layer":4},{"info":"compute binary expreesion, left_input=6070, right_input=1418, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1749","layer":4},{"info":"compute unary expreesion, input=1749, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-5247","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5247, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=8565480, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=6208","layer":4},{"info":"number node, value=3601","layer":4},{"info":"compute binary expreesion, left_input=6208, right_input=3601, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3128","layer":3},{"info":"number node, value=1061","layer":4},{"info":"compute unary expreesion, input=1061, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3183","layer":3},{"info":"compute binary expreesion, left_input=3128, right_input=-3183, op_id = rysDP5nf3Z binary_op_definition= 'None', output=6311","layer":2},{"info":"number node, value=8360","layer":4},{"info":"compute unary expreesion, input=8360, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=8360","layer":3},{"info":"compute unary expreesion, input=8360, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-25080","layer":2},{"info":"compute binary expreesion, left_input=6311, right_input=-25080, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-18769","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-18769, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻9A4⪛⋰*⋻887↪⪝)%⋰*⋻4619∀⇚≩⋰*⋻107A⋝⋈⪟(⨵≀≌⋰*⋻1350))⊭↱(⋰*⋻4734≧⫂∧⋰*⋻2784-(⨵≀≌⋰*⋻885))⪛((⋰*⋻6310⨁⊸⫻)≦≮≮)=NaN","reverse_text":"NaN=((⋰*⋻9A4⪛⋰*⋻887↪⪝)%⋰*⋻4619∀⇚≩⋰*⋻107A⋝⋈⪟(⨵≀≌⋰*⋻1350))⊭↱(⋰*⋻4734≧⫂∧⋰*⋻2784-(⨵≀≌⋰*⋻885))⪛((⋰*⋻6310⨁⊸⫻)≦≮≮)","cot":[{"info":"⋰*⋻9A4⪛⋰*⋻887=⋰*⋻118","layer":3},{"info":"⋰*⋻118↪⪝=⋰*⋻4920410","layer":2},{"info":"⋰*⋻4619∀⇚≩⋰*⋻107A=NaN","layer":3},{"info":"⨵≀≌⋰*⋻1350=⋰*⋻-3A40","layer":3},{"info":"NaN⋝⋈⪟⋰*⋻-3A40=NaN","layer":2},{"info":"⋰*⋻4920410%NaN=NaN","layer":1},{"info":"⋰*⋻4734≧⫂∧⋰*⋻2784=⋰*⋻2394","layer":3},{"info":"⨵≀≌⋰*⋻885=⋰*⋻-2434","layer":3},{"info":"⋰*⋻2394-⋰*⋻-2434=⋰*⋻4818","layer":2},{"info":"⋰*⋻6310⨁⊸⫻=⋰*⋻6310","layer":3},{"info":"⋰*⋻6310≦≮≮=⋰*⋻-17930","layer":2},{"info":"⋰*⋻4818⪛⋰*⋻-17930=⋰*⋻-13113","layer":1},{"info":"NaN⊭↱⋰*⋻-13113=NaN","layer":0}]}
{"id":719,"expression_no_base_symbol":"(↔((⊥$7329$)*$3002$⇷$1209$))⋳⪒(($3147$⋓$1665$)∼($2279$/$6578$))⊴(($1024$∲⫓$4688$)⪐)","expression":"(↔((⊥⋰*⋻5563)*⋰*⋻228A⇷⋰*⋻9AA))⋳⪒((⋰*⋻2401⋓⋰*⋻1284)∼(⋰*⋻1792/⋰*⋻4A40))⊴((⋰*⋻851∲⫓⋰*⋻3582)⪐)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":42112,"operation_count":11,"complexity_ratio":3828.3636363636365,"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":7329,"base":11}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3002,"base":11},"right_expr":{"type":"numeric_atoms","value":1209,"base":11}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3147,"base":11},"right_expr":{"type":"numeric_atoms","value":1665,"base":11}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2279,"base":11},"right_expr":{"type":"numeric_atoms","value":6578,"base":11}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1024,"base":11},"right_expr":{"type":"numeric_atoms","value":4688,"base":11}}}}},"used_operators":["12rbrZMWeM","ruOEQAzv1W","9HNa5Wba9A","Q3PJZHRvZv","mp7IySMOzn","Nsiff2A1zJ","DyGG3AbaNP","T2fj7uvVaJ","XhwjNDsVaA","eH2TOUuTDT","i8ToyICDmI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","fu6greOZ01","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻-3A3","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7329","layer":4},{"info":"compute unary expreesion, input=7329, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=3002","layer":4},{"info":"number node, value=1209","layer":4},{"info":"compute binary expreesion, left_input=3002, right_input=1209, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2418","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2418, op_id = 9HNa5Wba9A 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":"number node, value=3147","layer":4},{"info":"number node, value=1665","layer":4},{"info":"compute binary expreesion, left_input=3147, right_input=1665, op_id = T2fj7uvVaJ binary_op_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=2279","layer":4},{"info":"number node, value=6578","layer":4},{"info":"compute binary expreesion, left_input=2279, right_input=6578, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, 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=1024","layer":4},{"info":"number node, value=4688","layer":4},{"info":"compute binary expreesion, left_input=1024, right_input=4688, 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 = 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=20, right_input=0, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=-79, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-476","layer":0}],"base":11,"result_base":11,"text":"(↔((⊥⋰*⋻5563)*⋰*⋻228A⇷⋰*⋻9AA))⋳⪒((⋰*⋻2401⋓⋰*⋻1284)∼(⋰*⋻1792/⋰*⋻4A40))⊴((⋰*⋻851∲⫓⋰*⋻3582)⪐)=⋰*⋻-3A3","reverse_text":"⋰*⋻-3A3=(↔((⊥⋰*⋻5563)*⋰*⋻228A⇷⋰*⋻9AA))⋳⪒((⋰*⋻2401⋓⋰*⋻1284)∼(⋰*⋻1792/⋰*⋻4A40))⊴((⋰*⋻851∲⫓⋰*⋻3582)⪐)","cot":[{"info":"⊥⋰*⋻5563=NaN","layer":3},{"info":"⋰*⋻228A⇷⋰*⋻9AA=⋰*⋻18A9","layer":3},{"info":"NaN*⋰*⋻18A9=NaN","layer":2},{"info":"↔NaN=⋰*⋻-112","layer":1},{"info":"⋰*⋻2401⋓⋰*⋻1284=⋰*⋻0","layer":3},{"info":"⋰*⋻1792/⋰*⋻4A40=⋰*⋻0","layer":3},{"info":"⋰*⋻0∼⋰*⋻0=⋰*⋻19","layer":2},{"info":"⋰*⋻851∲⫓⋰*⋻3582=⋰*⋻0","layer":3},{"info":"⋰*⋻0⪐=⋰*⋻0","layer":2},{"info":"⋰*⋻19⊴⋰*⋻0=⋰*⋻-72","layer":1},{"info":"⋰*⋻-112⋳⪒⋰*⋻-72=⋰*⋻-3A3","layer":0}]}
{"id":720,"expression_no_base_symbol":"⪝⪂⫅($7508$⫥∨⫟$2736$⩨$1752$≧⫂∧$1575$)↬((≤/$1342$)≣⋋)","expression":"⪝⪂⫅(⋰*⋻5706⫥∨⫟⋰*⋻2068⩨⋰*⋻1353≧⫂∧⋰*⋻1202)↬((≤/⋰*⋻1010)≣⋋)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":679,"operation_count":7,"complexity_ratio":97.0,"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":7508,"base":11},"right_expr":{"type":"numeric_atoms","value":2736,"base":11}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1752,"base":11},"right_expr":{"type":"numeric_atoms","value":1575,"base":11}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1342,"base":11}}}}},"used_operators":["XTarYq4gQB","B5M0gjZbta","2DlMacCsIx","KYD54nUTWz","Ph9nP6C5qx","Tcnh7f0tEr","eLAdDNolq6"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","rGHVDoGpnC","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=7508","layer":4},{"info":"number node, value=2736","layer":4},{"info":"compute binary expreesion, left_input=7508, right_input=2736, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1752","layer":4},{"info":"number node, value=1575","layer":4},{"info":"compute binary expreesion, left_input=1752, right_input=1575, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1102","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1102, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"number node, value=1342","layer":4},{"info":"compute unary expreesion, input=1342, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-858","layer":3},{"info":"compute unary expreesion, input=-858, 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 = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⪝⪂⫅(⋰*⋻5706⫥∨⫟⋰*⋻2068⩨⋰*⋻1353≧⫂∧⋰*⋻1202)↬((≤/⋰*⋻1010)≣⋋)=NaN","reverse_text":"NaN=⪝⪂⫅(⋰*⋻5706⫥∨⫟⋰*⋻2068⩨⋰*⋻1353≧⫂∧⋰*⋻1202)↬((≤/⋰*⋻1010)≣⋋)","cot":[{"info":"⋰*⋻5706⫥∨⫟⋰*⋻2068=NaN","layer":3},{"info":"⋰*⋻1353≧⫂∧⋰*⋻1202=⋰*⋻912","layer":3},{"info":"NaN⩨⋰*⋻912=NaN","layer":2},{"info":"≤/⋰*⋻1010=⋰*⋻-710","layer":3},{"info":"⋰*⋻-710≣⋋=⋰*⋻0","layer":2},{"info":"NaN↬⋰*⋻0=NaN","layer":1},{"info":"⪝⪂⫅NaN=NaN","layer":0}]}
{"id":721,"expression_no_base_symbol":"$4417$∑⇟⊟$2085$⋓($1594$⩨$1283$)↺(⫛⫱⨽(⩦⩻⨪$5709$))⪄(((⨰⫟⨤$3448$)∲⫓$6671$⪛$2164$)⊉≛↸($1273$⪢$5543$⋫))","expression":"⋰*⋻3356∑⇟⊟⋰*⋻1626⋓(⋰*⋻121A⩨⋰*⋻A67)↺(⫛⫱⨽(⩦⩻⨪⋰*⋻4320))⪄(((⨰⫟⨤⋰*⋻2655)∲⫓⋰*⋻5015⪛⋰*⋻1698)⊉≛↸(⋰*⋻A58⪢⋰*⋻418A⋫))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":19973,"operation_count":13,"complexity_ratio":1536.3846153846155,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":4417,"base":11},"right_expr":{"type":"numeric_atoms","value":2085,"base":11}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1594,"base":11},"right_expr":{"type":"numeric_atoms","value":1283,"base":11}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":5709,"base":11}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":3448,"base":11}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":6671,"base":11},"right_expr":{"type":"numeric_atoms","value":2164,"base":11}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1273,"base":11},"right_expr":{"type":"numeric_atoms","value":5543,"base":11}}}}},"used_operators":["SUmda5xLS4","7j4O788W3g","T2fj7uvVaJ","U7g4x0WXJJ","2DlMacCsIx","DlLNRPXxWL","2td37pGCOC","DZ8iAZOCBD","i8ToyICDmI","Tw270M8GLb","uFcxV4UQCh","JL8yIekQnl","dWAJyo7jo9"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","tmPS8pqC7x","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=4417","layer":4},{"info":"number node, value=2085","layer":4},{"info":"compute binary expreesion, left_input=4417, right_input=2085, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1594","layer":4},{"info":"number node, value=1283","layer":4},{"info":"compute binary expreesion, left_input=1594, right_input=1283, 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 = T2fj7uvVaJ binary_op_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=5709","layer":4},{"info":"compute unary expreesion, input=5709, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=5709","layer":3},{"info":"compute unary expreesion, input=5709, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=0","layer":1},{"info":"number node, value=3448","layer":4},{"info":"compute unary expreesion, input=3448, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=6671","layer":4},{"info":"number node, value=2164","layer":4},{"info":"compute binary expreesion, left_input=6671, right_input=2164, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=179","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=179, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"number node, value=1273","layer":4},{"info":"number node, value=5543","layer":4},{"info":"compute binary expreesion, left_input=1273, right_input=5543, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = 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=0, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⋰*⋻3356∑⇟⊟⋰*⋻1626⋓(⋰*⋻121A⩨⋰*⋻A67)↺(⫛⫱⨽(⩦⩻⨪⋰*⋻4320))⪄(((⨰⫟⨤⋰*⋻2655)∲⫓⋰*⋻5015⪛⋰*⋻1698)⊉≛↸(⋰*⋻A58⪢⋰*⋻418A⋫))=NaN","reverse_text":"NaN=⋰*⋻3356∑⇟⊟⋰*⋻1626⋓(⋰*⋻121A⩨⋰*⋻A67)↺(⫛⫱⨽(⩦⩻⨪⋰*⋻4320))⪄(((⨰⫟⨤⋰*⋻2655)∲⫓⋰*⋻5015⪛⋰*⋻1698)⊉≛↸(⋰*⋻A58⪢⋰*⋻418A⋫))","cot":[{"info":"⋰*⋻3356∑⇟⊟⋰*⋻1626=NaN","layer":3},{"info":"⋰*⋻121A⩨⋰*⋻A67=⋰*⋻0","layer":3},{"info":"NaN⋓⋰*⋻0=⋰*⋻0","layer":2},{"info":"⩦⩻⨪⋰*⋻4320=⋰*⋻4320","layer":3},{"info":"⫛⫱⨽⋰*⋻4320=⋰*⋻0","layer":2},{"info":"⋰*⋻0↺⋰*⋻0=⋰*⋻0","layer":1},{"info":"⨰⫟⨤⋰*⋻2655=NaN","layer":3},{"info":"⋰*⋻5015⪛⋰*⋻1698=⋰*⋻153","layer":3},{"info":"NaN∲⫓⋰*⋻153=NaN","layer":2},{"info":"⋰*⋻A58⪢⋰*⋻418A=NaN","layer":3},{"info":"NaN⋫=NaN","layer":2},{"info":"NaN⊉≛↸NaN=NaN","layer":1},{"info":"⋰*⋻0⪄NaN=NaN","layer":0}]}
{"id":722,"expression_no_base_symbol":"($1232$⨓$3442$⨰$1502$≹⇙⪍$2664$)⊴(⊙↵-(⊥$4128$))⨰($3675$⊴$1567$⨁⊸⫻)⪢($2155$⊉≛↸$4918$/($1028$⊪))","expression":"(⋰*⋻A20⨓⋰*⋻264A⨰⋰*⋻1146≹⇙⪍⋰*⋻2002)⊴(⊙↵-(⊥⋰*⋻3113))⨰(⋰*⋻2841⊴⋰*⋻11A5⨁⊸⫻)⪢(⋰*⋻168A⊉≛↸⋰*⋻3771/(⋰*⋻855⊪))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5499,"operation_count":13,"complexity_ratio":423.0,"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":1232,"base":11},"right_expr":{"type":"numeric_atoms","value":3442,"base":11}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1502,"base":11},"right_expr":{"type":"numeric_atoms","value":2664,"base":11}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":4128,"base":11}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3675,"base":11},"right_expr":{"type":"numeric_atoms","value":1567,"base":11}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2155,"base":11},"right_expr":{"type":"numeric_atoms","value":4918,"base":11}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":1028,"base":11}}}}},"used_operators":["eewbuw0ToL","Nsiff2A1zJ","3ViojmjbAp","AHs5Up7iyr","oWn0xqSxBt","Q3PJZHRvZv","dWAJyo7jo9","glklzrTFfD","XhwjNDsVaA","DZ8iAZOCBD","zVYPLywUTj"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","dWAJyo7jo9","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","fu6greOZ01","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1232","layer":4},{"info":"number node, value=3442","layer":4},{"info":"compute binary expreesion, left_input=1232, right_input=3442, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3445","layer":3},{"info":"number node, value=1502","layer":4},{"info":"number node, value=2664","layer":4},{"info":"compute binary expreesion, left_input=1502, right_input=2664, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=-3445, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"number node, value=4128","layer":4},{"info":"compute unary expreesion, input=4128, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":2},{"info":"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=3675","layer":4},{"info":"number node, value=1567","layer":4},{"info":"compute binary expreesion, left_input=3675, right_input=1567, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', 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=2155","layer":4},{"info":"number node, value=4918","layer":4},{"info":"compute binary expreesion, left_input=2155, right_input=4918, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4310","layer":3},{"info":"number node, value=1028","layer":4},{"info":"compute unary expreesion, input=1028, 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=4310, 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 = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻A20⨓⋰*⋻264A⨰⋰*⋻1146≹⇙⪍⋰*⋻2002)⊴(⊙↵-(⊥⋰*⋻3113))⨰(⋰*⋻2841⊴⋰*⋻11A5⨁⊸⫻)⪢(⋰*⋻168A⊉≛↸⋰*⋻3771/(⋰*⋻855⊪))=NaN","reverse_text":"NaN=(⋰*⋻A20⨓⋰*⋻264A⨰⋰*⋻1146≹⇙⪍⋰*⋻2002)⊴(⊙↵-(⊥⋰*⋻3113))⨰(⋰*⋻2841⊴⋰*⋻11A5⨁⊸⫻)⪢(⋰*⋻168A⊉≛↸⋰*⋻3771/(⋰*⋻855⊪))","cot":[{"info":"⋰*⋻A20⨓⋰*⋻264A=⋰*⋻-2652","layer":3},{"info":"⋰*⋻1146≹⇙⪍⋰*⋻2002=NaN","layer":3},{"info":"⋰*⋻-2652⨰NaN=NaN","layer":2},{"info":"⊥⋰*⋻3113=NaN","layer":3},{"info":"⊙↵-NaN=NaN","layer":2},{"info":"NaN⊴NaN=NaN","layer":1},{"info":"⋰*⋻2841⊴⋰*⋻11A5=NaN","layer":3},{"info":"NaN⨁⊸⫻=NaN","layer":2},{"info":"⋰*⋻168A⊉≛↸⋰*⋻3771=⋰*⋻3269","layer":3},{"info":"⋰*⋻855⊪=⋰*⋻0","layer":3},{"info":"⋰*⋻3269/⋰*⋻0=NaN","layer":2},{"info":"NaN⪢NaN=NaN","layer":1},{"info":"NaN⨰NaN=NaN","layer":0}]}
{"id":723,"expression_no_base_symbol":"(↔(($1190$⇋≉)⋳⪒$2015$⋓$2994$))⨟⋌⩍(($2150$⪨≂$5135$)⨸⪁$3672$⪄$9353$⨸⪁(($2867$*$3545$)≦≮≮))","expression":"(↔((⋰*⋻992⇋≉)⋳⪒⋰*⋻1572⋓⋰*⋻2282))⨟⋌⩍((⋰*⋻1685⪨≂⋰*⋻3949)⨸⪁⋰*⋻2839⪄⋰*⋻7033⨸⪁((⋰*⋻2177*⋰*⋻2733)≦≮≮))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3007,"operation_count":11,"complexity_ratio":273.3636363636364,"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":1190,"base":11}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2015,"base":11},"right_expr":{"type":"numeric_atoms","value":2994,"base":11}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2150,"base":11},"right_expr":{"type":"numeric_atoms","value":5135,"base":11}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3672,"base":11},"right_expr":{"type":"numeric_atoms","value":9353,"base":11}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2867,"base":11},"right_expr":{"type":"numeric_atoms","value":3545,"base":11}}}}},"used_operators":["rGHVDoGpnC","ruOEQAzv1W","12rbrZMWeM","XIabStNQrY","T2fj7uvVaJ","g55IO6H4Gj","sdazOOVcIp","SUmda5xLS4","D4vGDi5EA2","9HNa5Wba9A"],"dependent_operators":["Tcnh7f0tEr","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1190","layer":4},{"info":"compute unary expreesion, input=1190, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=2282","layer":3},{"info":"number node, value=2015","layer":4},{"info":"number node, value=2994","layer":4},{"info":"compute binary expreesion, left_input=2015, right_input=2994, op_id = T2fj7uvVaJ binary_op_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=2282, right_input=0, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=4277","layer":2},{"info":"compute unary expreesion, input=4277, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-4004","layer":1},{"info":"number node, value=2150","layer":4},{"info":"number node, value=5135","layer":4},{"info":"compute binary expreesion, left_input=2150, right_input=5135, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-5868","layer":3},{"info":"number node, value=3672","layer":4},{"info":"number node, value=9353","layer":4},{"info":"compute binary expreesion, left_input=3672, right_input=9353, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-576957","layer":3},{"info":"compute binary expreesion, left_input=-5868, right_input=-576957, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-1165650","layer":2},{"info":"number node, value=2867","layer":4},{"info":"number node, value=3545","layer":4},{"info":"compute binary expreesion, left_input=2867, right_input=3545, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=10163515","layer":3},{"info":"compute unary expreesion, input=10163515, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-30490545","layer":2},{"info":"compute binary expreesion, left_input=-1165650, right_input=-30490545, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-63312390","layer":1},{"info":"compute binary expreesion, left_input=-4004, right_input=-63312390, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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":11,"result_base":11,"text":"(↔((⋰*⋻992⇋≉)⋳⪒⋰*⋻1572⋓⋰*⋻2282))⨟⋌⩍((⋰*⋻1685⪨≂⋰*⋻3949)⨸⪁⋰*⋻2839⪄⋰*⋻7033⨸⪁((⋰*⋻2177*⋰*⋻2733)≦≮≮))=NaN","reverse_text":"NaN=(↔((⋰*⋻992⇋≉)⋳⪒⋰*⋻1572⋓⋰*⋻2282))⨟⋌⩍((⋰*⋻1685⪨≂⋰*⋻3949)⨸⪁⋰*⋻2839⪄⋰*⋻7033⨸⪁((⋰*⋻2177*⋰*⋻2733)≦≮≮))","cot":[{"info":"⋰*⋻992⇋≉=⋰*⋻1795","layer":3},{"info":"⋰*⋻1572⋓⋰*⋻2282=⋰*⋻0","layer":3},{"info":"⋰*⋻1795⋳⪒⋰*⋻0=⋰*⋻3239","layer":2},{"info":"↔⋰*⋻3239=⋰*⋻-3010","layer":1},{"info":"⋰*⋻1685⪨≂⋰*⋻3949=⋰*⋻-4455","layer":3},{"info":"⋰*⋻2839⪄⋰*⋻7033=⋰*⋻-364527","layer":3},{"info":"⋰*⋻-4455⨸⪁⋰*⋻-364527=⋰*⋻-726852","layer":2},{"info":"⋰*⋻2177*⋰*⋻2733=⋰*⋻5811AAA","layer":3},{"info":"⋰*⋻5811AAA≦≮≮=⋰*⋻-16235AA8","layer":2},{"info":"⋰*⋻-726852⨸⪁⋰*⋻-16235AA8=⋰*⋻-32813599","layer":1},{"info":"⋰*⋻-3010⨟⋌⩍⋰*⋻-32813599=NaN","layer":0}]}
{"id":724,"expression_no_base_symbol":"≤/(⨵≀≌(⨵≀≌($3001$⊭↱$2708$)))","expression":"≤/(⨵≀≌(⨵≀≌(⋰*⋻2289⊭↱⋰*⋻2042)))","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":596,"operation_count":4,"complexity_ratio":149.0,"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":3001,"base":11},"right_expr":{"type":"numeric_atoms","value":2708,"base":11}}}}},"used_operators":["eLAdDNolq6","srAu1WTS94","COABgblf1C"],"dependent_operators":["rysDP5nf3Z","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻632231","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3001","layer":4},{"info":"number node, value=2708","layer":4},{"info":"compute binary expreesion, left_input=3001, right_input=2708, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-581","layer":3},{"info":"compute unary expreesion, input=-581, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=337561","layer":2},{"info":"compute unary expreesion, input=337561, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-1012683","layer":1},{"info":"compute unary expreesion, input=-1012683, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=1013167","layer":0}],"base":11,"result_base":11,"text":"≤/(⨵≀≌(⨵≀≌(⋰*⋻2289⊭↱⋰*⋻2042)))=⋰*⋻632231","reverse_text":"⋰*⋻632231=≤/(⨵≀≌(⨵≀≌(⋰*⋻2289⊭↱⋰*⋻2042)))","cot":[{"info":"⋰*⋻2289⊭↱⋰*⋻2042=⋰*⋻-489","layer":3},{"info":"⨵≀≌⋰*⋻-489=⋰*⋻210684","layer":2},{"info":"⨵≀≌⋰*⋻210684=⋰*⋻-631931","layer":1},{"info":"≤/⋰*⋻-631931=⋰*⋻632231","layer":0}]}
{"id":725,"expression_no_base_symbol":"∂(((⫓⪴$3243$)⫸⊐(≦∁$1836$))↺((↥$2736$)⫡⨏$2152$⨳⩥⨓$7044$))","expression":"∂(((⫓⪴⋰*⋻2489)⫸⊐(≦∁⋰*⋻141A))↺((↥⋰*⋻2068)⫡⨏⋰*⋻1687⨳⩥⨓⋰*⋻5324))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3334,"operation_count":8,"complexity_ratio":416.75,"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":3243,"base":11}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1836,"base":11}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2736,"base":11}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2152,"base":11},"right_expr":{"type":"numeric_atoms","value":7044,"base":11}}}}},"used_operators":["Uaa54Peajs","7j4O788W3g","mqXw5SEYmG","eLxqMNBOBk","9ICcGScMcE","QMFrweE19q","A8NUZmVepG","nCS4ZIUYfx"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9HNa5Wba9A","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3243","layer":4},{"info":"compute unary expreesion, input=3243, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=10517049","layer":3},{"info":"number node, value=1836","layer":4},{"info":"compute unary expreesion, input=1836, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1836","layer":3},{"info":"compute binary expreesion, left_input=10517049, right_input=1836, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=7219","layer":2},{"info":"number node, value=2736","layer":4},{"info":"compute unary expreesion, input=2736, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=33","layer":3},{"info":"number node, value=2152","layer":4},{"info":"number node, value=7044","layer":4},{"info":"compute binary expreesion, left_input=2152, right_input=7044, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=4892","layer":3},{"info":"compute binary expreesion, left_input=33, right_input=4892, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=10732","layer":2},{"info":"compute binary expreesion, left_input=7219, right_input=10732, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=10732","layer":1},{"info":"compute unary expreesion, input=10732, 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":11,"result_base":11,"text":"∂(((⫓⪴⋰*⋻2489)⫸⊐(≦∁⋰*⋻141A))↺((↥⋰*⋻2068)⫡⨏⋰*⋻1687⨳⩥⨓⋰*⋻5324))=NaN","reverse_text":"NaN=∂(((⫓⪴⋰*⋻2489)⫸⊐(≦∁⋰*⋻141A))↺((↥⋰*⋻2068)⫡⨏⋰*⋻1687⨳⩥⨓⋰*⋻5324))","cot":[{"info":"⫓⪴⋰*⋻2489=⋰*⋻5A33684","layer":3},{"info":"≦∁⋰*⋻141A=⋰*⋻141A","layer":3},{"info":"⋰*⋻5A33684⫸⊐⋰*⋻141A=⋰*⋻5473","layer":2},{"info":"↥⋰*⋻2068=⋰*⋻30","layer":3},{"info":"⋰*⋻1687⨳⩥⨓⋰*⋻5324=⋰*⋻3748","layer":3},{"info":"⋰*⋻30⫡⨏⋰*⋻3748=⋰*⋻8077","layer":2},{"info":"⋰*⋻5473↺⋰*⋻8077=⋰*⋻8077","layer":1},{"info":"∂⋰*⋻8077=NaN","layer":0}]}
{"id":726,"expression_no_base_symbol":"≦∁(($2283$↬$1711$⇋≉)⋷($3928$∸)⪒$1164$⩷∴$2317$)","expression":"≦∁((⋰*⋻1796↬⋰*⋻1316⇋≉)⋷(⋰*⋻2A51∸)⪒⋰*⋻969⩷∴⋰*⋻1817)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":193,"operation_count":7,"complexity_ratio":27.571428571428573,"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":2283,"base":11},"right_expr":{"type":"numeric_atoms","value":1711,"base":11}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":3928,"base":11}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1164,"base":11},"right_expr":{"type":"numeric_atoms","value":2317,"base":11}}}}},"used_operators":["9ICcGScMcE","23Mk6UjR3U","XIabStNQrY","B5M0gjZbta","f6k1SAg4EE","o20kRiQErp","9FxExcQeMw"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2283","layer":4},{"info":"number node, value=1711","layer":4},{"info":"compute binary expreesion, left_input=2283, right_input=1711, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=nan","layer":2},{"info":"number node, value=3928","layer":4},{"info":"compute unary expreesion, input=3928, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=1164","layer":4},{"info":"number node, value=2317","layer":4},{"info":"compute binary expreesion, left_input=1164, right_input=2317, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2338","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=-2338, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=2161","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2161, 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 = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"≦∁((⋰*⋻1796↬⋰*⋻1316⇋≉)⋷(⋰*⋻2A51∸)⪒⋰*⋻969⩷∴⋰*⋻1817)=NaN","reverse_text":"NaN=≦∁((⋰*⋻1796↬⋰*⋻1316⇋≉)⋷(⋰*⋻2A51∸)⪒⋰*⋻969⩷∴⋰*⋻1817)","cot":[{"info":"⋰*⋻1796↬⋰*⋻1316=NaN","layer":3},{"info":"NaN⇋≉=NaN","layer":2},{"info":"⋰*⋻2A51∸=⋰*⋻151","layer":3},{"info":"⋰*⋻969⩷∴⋰*⋻1817=⋰*⋻-1836","layer":3},{"info":"⋰*⋻151⪒⋰*⋻-1836=⋰*⋻1695","layer":2},{"info":"NaN⋷⋰*⋻1695=NaN","layer":1},{"info":"≦∁NaN=NaN","layer":0}]}
{"id":727,"expression_no_base_symbol":"($3811$⨵⪆$3690$)≎⊠⪸$3252$⨪↰⇹$1880$⨽($6359$⊠≄⫣)≭($1671$+$6017$)-(($6037$⫥∨⫟$1783$⋥≓≎$1705$⨪↰⇹$3906$)⊦⊿)","expression":"(⋰*⋻2955⨵⪆⋰*⋻2855)≎⊠⪸⋰*⋻2497⨪↰⇹⋰*⋻145A⨽(⋰*⋻4861⊠≄⫣)≭(⋰*⋻128A+⋰*⋻4580)-((⋰*⋻4599⫥∨⫟⋰*⋻1381⋥≓≎⋰*⋻1310⨪↰⇹⋰*⋻2A31)⊦⊿)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":46273,"operation_count":12,"complexity_ratio":3856.0833333333335,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3811,"base":11},"right_expr":{"type":"numeric_atoms","value":3690,"base":11}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3252,"base":11},"right_expr":{"type":"numeric_atoms","value":1880,"base":11}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":6359,"base":11}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1671,"base":11},"right_expr":{"type":"numeric_atoms","value":6017,"base":11}}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":6037,"base":11},"right_expr":{"type":"numeric_atoms","value":1783,"base":11}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1705,"base":11},"right_expr":{"type":"numeric_atoms","value":3906,"base":11}}}}},"used_operators":["rysDP5nf3Z","8HhzD0ZcuI","bJkvcejdHO","2DQ55sFlQl","tmPS8pqC7x","rxpJgHHUmx","DIvbN7qnHd","W4YGzv6Whe","14qkJME0vr","Qy55tPpLXF","KYD54nUTWz"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3811","layer":4},{"info":"number node, value=3690","layer":4},{"info":"compute binary expreesion, left_input=3811, right_input=3690, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=3252","layer":4},{"info":"number node, value=1880","layer":4},{"info":"compute binary expreesion, left_input=3252, right_input=1880, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3252","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=3252, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=40967","layer":2},{"info":"number node, value=6359","layer":4},{"info":"compute unary expreesion, input=6359, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=1671","layer":4},{"info":"number node, value=6017","layer":4},{"info":"compute binary expreesion, left_input=1671, right_input=6017, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7688","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=7688, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=40967, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"number node, value=6037","layer":4},{"info":"number node, value=1783","layer":4},{"info":"compute binary expreesion, left_input=6037, right_input=1783, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1705","layer":4},{"info":"number node, value=3906","layer":4},{"info":"compute binary expreesion, left_input=1705, right_input=3906, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1705","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1705, 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 = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-280","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-280, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻2955⨵⪆⋰*⋻2855)≎⊠⪸⋰*⋻2497⨪↰⇹⋰*⋻145A⨽(⋰*⋻4861⊠≄⫣)≭(⋰*⋻128A+⋰*⋻4580)-((⋰*⋻4599⫥∨⫟⋰*⋻1381⋥≓≎⋰*⋻1310⨪↰⇹⋰*⋻2A31)⊦⊿)=NaN","reverse_text":"NaN=(⋰*⋻2955⨵⪆⋰*⋻2855)≎⊠⪸⋰*⋻2497⨪↰⇹⋰*⋻145A⨽(⋰*⋻4861⊠≄⫣)≭(⋰*⋻128A+⋰*⋻4580)-((⋰*⋻4599⫥∨⫟⋰*⋻1381⋥≓≎⋰*⋻1310⨪↰⇹⋰*⋻2A31)⊦⊿)","cot":[{"info":"⋰*⋻2955⨵⪆⋰*⋻2855=⋰*⋻136","layer":3},{"info":"⋰*⋻2497⨪↰⇹⋰*⋻145A=⋰*⋻2497","layer":3},{"info":"⋰*⋻136≎⊠⪸⋰*⋻2497=⋰*⋻28863","layer":2},{"info":"⋰*⋻4861⊠≄⫣=⋰*⋻0","layer":3},{"info":"⋰*⋻128A+⋰*⋻4580=⋰*⋻585A","layer":3},{"info":"⋰*⋻0≭⋰*⋻585A=NaN","layer":2},{"info":"⋰*⋻28863⨽NaN=NaN","layer":1},{"info":"⋰*⋻4599⫥∨⫟⋰*⋻1381=NaN","layer":3},{"info":"⋰*⋻1310⨪↰⇹⋰*⋻2A31=⋰*⋻1310","layer":3},{"info":"NaN⋥≓≎⋰*⋻1310=⋰*⋻61","layer":2},{"info":"⋰*⋻61⊦⊿=⋰*⋻-235","layer":1},{"info":"NaN-⋰*⋻-235=NaN","layer":0}]}
{"id":728,"expression_no_base_symbol":"(⊥(($5857$-$1439$)*$1598$≭$1570$))⋓((↩($6689$↛⩡⫤))⊭∹↮)","expression":"(⊥((⋰*⋻4445-⋰*⋻1099)*⋰*⋻1223≭⋰*⋻11A8))⋓((↩(⋰*⋻5031↛⩡⫤))⊭∹↮)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":20244,"operation_count":8,"complexity_ratio":2530.5,"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":5857,"base":11},"right_expr":{"type":"numeric_atoms","value":1439,"base":11}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1598,"base":11},"right_expr":{"type":"numeric_atoms","value":1570,"base":11}}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":6689,"base":11}}}}},"used_operators":["T2fj7uvVaJ","Q3PJZHRvZv","9HNa5Wba9A","rysDP5nf3Z","rxpJgHHUmx","xNBdhnnwKq","jLgFTUHLKL","FU0Cs4j7VP"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","fu6greOZ01","W4YGzv6Whe","AHs5Up7iyr","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5857","layer":4},{"info":"number node, value=1439","layer":4},{"info":"compute binary expreesion, left_input=5857, right_input=1439, op_id = rysDP5nf3Z binary_op_definition= 'None', output=4418","layer":3},{"info":"number node, value=1598","layer":4},{"info":"number node, value=1570","layer":4},{"info":"compute binary expreesion, left_input=1598, right_input=1570, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=4418, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', 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=6689","layer":4},{"info":"compute unary expreesion, input=6689, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-1006128","layer":3},{"info":"compute unary expreesion, input=-1006128, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=4027132","layer":2},{"info":"compute unary expreesion, input=4027132, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=8054264","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=8054264, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":0}],"base":11,"result_base":11,"text":"(⊥((⋰*⋻4445-⋰*⋻1099)*⋰*⋻1223≭⋰*⋻11A8))⋓((↩(⋰*⋻5031↛⩡⫤))⊭∹↮)=⋰*⋻0","reverse_text":"⋰*⋻0=(⊥((⋰*⋻4445-⋰*⋻1099)*⋰*⋻1223≭⋰*⋻11A8))⋓((↩(⋰*⋻5031↛⩡⫤))⊭∹↮)","cot":[{"info":"⋰*⋻4445-⋰*⋻1099=⋰*⋻3357","layer":3},{"info":"⋰*⋻1223≭⋰*⋻11A8=NaN","layer":3},{"info":"⋰*⋻3357*NaN=NaN","layer":2},{"info":"⊥NaN=NaN","layer":1},{"info":"⋰*⋻5031↛⩡⫤=⋰*⋻-627A12","layer":3},{"info":"↩⋰*⋻-627A12=⋰*⋻230070A","layer":2},{"info":"⋰*⋻230070A⊭∹↮=⋰*⋻4601319","layer":1},{"info":"NaN⋓⋰*⋻4601319=⋰*⋻0","layer":0}]}
{"id":729,"expression_no_base_symbol":"⩦⩻⨪(⨈⫕(⨞⊢$3427$))≭($2406$-$1791$)⨓($2031$⩚⊴⇥$4784$)","expression":"⩦⩻⨪(⨈⫕(⨞⊢⋰*⋻2636))≭(⋰*⋻1898-⋰*⋻1389)⨓(⋰*⋻1587⩚⊴⇥⋰*⋻365A)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":7338,"operation_count":7,"complexity_ratio":1048.2857142857142,"tree":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":3427,"base":11}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2406,"base":11},"right_expr":{"type":"numeric_atoms","value":1791,"base":11}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2031,"base":11},"right_expr":{"type":"numeric_atoms","value":4784,"base":11}}}}},"used_operators":["2td37pGCOC","rxpJgHHUmx","megm06wKyl","xUOZtlo3hN","3ViojmjbAp","rysDP5nf3Z","NTOWxs364D"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3427","layer":4},{"info":"compute unary expreesion, input=3427, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-3601","layer":3},{"info":"compute unary expreesion, input=-3601, 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=2406","layer":4},{"info":"number node, value=1791","layer":4},{"info":"compute binary expreesion, left_input=2406, right_input=1791, op_id = rysDP5nf3Z binary_op_definition= 'None', output=615","layer":3},{"info":"number node, value=2031","layer":4},{"info":"number node, value=4784","layer":4},{"info":"compute binary expreesion, left_input=2031, right_input=4784, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6936","layer":3},{"info":"compute binary expreesion, left_input=615, right_input=-6936, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=6933","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=6933, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⩦⩻⨪(⨈⫕(⨞⊢⋰*⋻2636))≭(⋰*⋻1898-⋰*⋻1389)⨓(⋰*⋻1587⩚⊴⇥⋰*⋻365A)=NaN","reverse_text":"NaN=⩦⩻⨪(⨈⫕(⨞⊢⋰*⋻2636))≭(⋰*⋻1898-⋰*⋻1389)⨓(⋰*⋻1587⩚⊴⇥⋰*⋻365A)","cot":[{"info":"⨞⊢⋰*⋻2636=⋰*⋻-2784","layer":3},{"info":"⨈⫕⋰*⋻-2784=⋰*⋻-1A","layer":2},{"info":"⋰*⋻1898-⋰*⋻1389=⋰*⋻50A","layer":3},{"info":"⋰*⋻1587⩚⊴⇥⋰*⋻365A=⋰*⋻-5236","layer":3},{"info":"⋰*⋻50A⨓⋰*⋻-5236=⋰*⋻5233","layer":2},{"info":"⋰*⋻-1A≭⋰*⋻5233=NaN","layer":1},{"info":"⩦⩻⨪NaN=NaN","layer":0}]}
{"id":730,"expression_no_base_symbol":"(-($1938$↺$1971$)∑⇟⊟($1172$-$7243$))⪢($3973$↬$1743$⋳⪒$7956$+⇶⊼$1775$≋⫹)","expression":"(-(⋰*⋻1502↺⋰*⋻1532)∑⇟⊟(⋰*⋻976-⋰*⋻5495))⪢(⋰*⋻2A92↬⋰*⋻1345⋳⪒⋰*⋻5A83+⇶⊼⋰*⋻1374≋⫹)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":18,"operation_count":9,"complexity_ratio":2.0,"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":1938,"base":11},"right_expr":{"type":"numeric_atoms","value":1971,"base":11}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1172,"base":11},"right_expr":{"type":"numeric_atoms","value":7243,"base":11}}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3973,"base":11},"right_expr":{"type":"numeric_atoms","value":1743,"base":11}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":7956,"base":11},"right_expr":{"type":"numeric_atoms","value":1775,"base":11}}}}},"used_operators":["dWAJyo7jo9","t8gj7n24qd","U7g4x0WXJJ","7j4O788W3g","rysDP5nf3Z","N41Kp7NANJ","12rbrZMWeM","B5M0gjZbta","TpPTUOHfaN"],"dependent_operators":["k8jYdgA6NY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1938","layer":4},{"info":"number node, value=1971","layer":4},{"info":"compute binary expreesion, left_input=1938, 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=1172","layer":4},{"info":"number node, value=7243","layer":4},{"info":"compute binary expreesion, left_input=1172, right_input=7243, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-6071","layer":3},{"info":"compute binary expreesion, left_input=1971, right_input=-6071, 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 = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":1},{"info":"number node, value=3973","layer":4},{"info":"number node, value=1743","layer":4},{"info":"compute binary expreesion, left_input=3973, right_input=1743, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=7956","layer":4},{"info":"number node, value=1775","layer":4},{"info":"compute binary expreesion, left_input=7956, right_input=1775, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"(-(⋰*⋻1502↺⋰*⋻1532)∑⇟⊟(⋰*⋻976-⋰*⋻5495))⪢(⋰*⋻2A92↬⋰*⋻1345⋳⪒⋰*⋻5A83+⇶⊼⋰*⋻1374≋⫹)=NaN","reverse_text":"NaN=(-(⋰*⋻1502↺⋰*⋻1532)∑⇟⊟(⋰*⋻976-⋰*⋻5495))⪢(⋰*⋻2A92↬⋰*⋻1345⋳⪒⋰*⋻5A83+⇶⊼⋰*⋻1374≋⫹)","cot":[{"info":"⋰*⋻1502↺⋰*⋻1532=⋰*⋻1532","layer":3},{"info":"⋰*⋻976-⋰*⋻5495=⋰*⋻-461A","layer":3},{"info":"⋰*⋻1532∑⇟⊟⋰*⋻-461A=NaN","layer":2},{"info":"-NaN=NaN","layer":1},{"info":"⋰*⋻2A92↬⋰*⋻1345=NaN","layer":3},{"info":"⋰*⋻5A83+⇶⊼⋰*⋻1374=NaN","layer":3},{"info":"NaN⋳⪒NaN=NaN","layer":2},{"info":"NaN≋⫹=NaN","layer":1},{"info":"NaN⪢NaN=NaN","layer":0}]}
{"id":731,"expression_no_base_symbol":"(($6907$⨟⋌⩍$1961$)⪮%⊝(⩦⩻⨪$2940$)*((∥⊫$1986$)*$1081$⨓$5748$))⪄(↯⪼($3307$⨳⩥⨓$3175$))⫥∨⫟(⨰⫟⨤($3450$⨰$2028$))","expression":"((⋰*⋻520A⨟⋌⩍⋰*⋻1523)⪮%⊝(⩦⩻⨪⋰*⋻2233)*((∥⊫⋰*⋻1546)*⋰*⋻8A3⨓⋰*⋻4356))⪄(↯⪼(⋰*⋻2537⨳⩥⨓⋰*⋻2427))⫥∨⫟(⨰⫟⨤(⋰*⋻2657⨰⋰*⋻1584))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":13729,"operation_count":13,"complexity_ratio":1056.076923076923,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":6907,"base":11},"right_expr":{"type":"numeric_atoms","value":1961,"base":11}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2940,"base":11}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1986,"base":11}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1081,"base":11},"right_expr":{"type":"numeric_atoms","value":5748,"base":11}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3307,"base":11},"right_expr":{"type":"numeric_atoms","value":3175,"base":11}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3450,"base":11},"right_expr":{"type":"numeric_atoms","value":2028,"base":11}}}}},"used_operators":["SUmda5xLS4","9HNa5Wba9A","IWmyXbctLI","rGHVDoGpnC","2td37pGCOC","P8v4zCKN1o","3ViojmjbAp","KYD54nUTWz","8jW3W4yZS5","nCS4ZIUYfx","Tw270M8GLb","eewbuw0ToL"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","8HhzD0ZcuI","rGHVDoGpnC","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻2A98","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6907","layer":4},{"info":"number node, value=1961","layer":4},{"info":"compute binary expreesion, left_input=6907, right_input=1961, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=2940","layer":4},{"info":"compute unary expreesion, input=2940, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2940","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2940, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"number node, value=1986","layer":4},{"info":"compute unary expreesion, input=1986, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2854","layer":3},{"info":"number node, value=1081","layer":4},{"info":"number node, value=5748","layer":4},{"info":"compute binary expreesion, left_input=1081, right_input=5748, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5751","layer":3},{"info":"compute binary expreesion, left_input=2854, right_input=-5751, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-16413354","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-16413354, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=3307","layer":4},{"info":"number node, value=3175","layer":4},{"info":"compute binary expreesion, left_input=3307, right_input=3175, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-132","layer":3},{"info":"compute unary expreesion, input=-132, 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=3450","layer":4},{"info":"number node, value=2028","layer":4},{"info":"compute binary expreesion, left_input=3450, right_input=2028, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1432","layer":3},{"info":"compute unary expreesion, input=1432, 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=-21, 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 = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻520A⨟⋌⩍⋰*⋻1523)⪮%⊝(⩦⩻⨪⋰*⋻2233)*((∥⊫⋰*⋻1546)*⋰*⋻8A3⨓⋰*⋻4356))⪄(↯⪼(⋰*⋻2537⨳⩥⨓⋰*⋻2427))⫥∨⫟(⨰⫟⨤(⋰*⋻2657⨰⋰*⋻1584))=⋰*⋻2A98","reverse_text":"⋰*⋻2A98=((⋰*⋻520A⨟⋌⩍⋰*⋻1523)⪮%⊝(⩦⩻⨪⋰*⋻2233)*((∥⊫⋰*⋻1546)*⋰*⋻8A3⨓⋰*⋻4356))⪄(↯⪼(⋰*⋻2537⨳⩥⨓⋰*⋻2427))⫥∨⫟(⨰⫟⨤(⋰*⋻2657⨰⋰*⋻1584))","cot":[{"info":"⋰*⋻520A⨟⋌⩍⋰*⋻1523=NaN","layer":3},{"info":"⩦⩻⨪⋰*⋻2233=⋰*⋻2233","layer":3},{"info":"NaN⪮%⊝⋰*⋻2233=NaN","layer":2},{"info":"∥⊫⋰*⋻1546=⋰*⋻2165","layer":3},{"info":"⋰*⋻8A3⨓⋰*⋻4356=⋰*⋻-4359","layer":3},{"info":"⋰*⋻2165*⋰*⋻-4359=⋰*⋻-92A0661","layer":2},{"info":"NaN*⋰*⋻-92A0661=NaN","layer":1},{"info":"⋰*⋻2537⨳⩥⨓⋰*⋻2427=⋰*⋻-110","layer":3},{"info":"↯⪼⋰*⋻-110=⋰*⋻-1A","layer":2},{"info":"⋰*⋻2657⨰⋰*⋻1584=⋰*⋻1092","layer":3},{"info":"⨰⫟⨤⋰*⋻1092=NaN","layer":2},{"info":"⋰*⋻-1A⫥∨⫟NaN=NaN","layer":1},{"info":"NaN⪄NaN=⋰*⋻2A98","layer":0}]}
{"id":732,"expression_no_base_symbol":"(⇁⨣⪵$5848$⫥∨⫟$4567$)↙($8481$↪⪝)↬($1464$∲⫓$8007$)⪒($1056$⫡⨏$2294$)≎⊠⪸($6766$↺$2459$)⋥≓≎($1049$⋷$1529$)⋝⋈⪟($3962$↙$3142$)","expression":"(⇁⨣⪵⋰*⋻4437⫥∨⫟⋰*⋻3482)↙(⋰*⋻6410↪⪝)↬(⋰*⋻1111∲⫓⋰*⋻601A)⪒(⋰*⋻880⫡⨏⋰*⋻17A6)≎⊠⪸(⋰*⋻50A1↺⋰*⋻1936)⋥≓≎(⋰*⋻874⋷⋰*⋻1170)⋝⋈⪟(⋰*⋻2A82↙⋰*⋻23A7)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4296,"operation_count":14,"complexity_ratio":306.85714285714283,"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":5848,"base":11},"right_expr":{"type":"numeric_atoms","value":4567,"base":11}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":8481,"base":11}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1464,"base":11},"right_expr":{"type":"numeric_atoms","value":8007,"base":11}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1056,"base":11},"right_expr":{"type":"numeric_atoms","value":2294,"base":11}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":6766,"base":11},"right_expr":{"type":"numeric_atoms","value":2459,"base":11}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1049,"base":11},"right_expr":{"type":"numeric_atoms","value":1529,"base":11}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3962,"base":11},"right_expr":{"type":"numeric_atoms","value":3142,"base":11}}}}},"used_operators":["f6k1SAg4EE","yyfyN0ffXY","inkyxCbjAn","KYD54nUTWz","B5M0gjZbta","l07mrZUIn9","i8ToyICDmI","Qy55tPpLXF","bJkvcejdHO","QMFrweE19q","7j4O788W3g","2DDjHMKMc0","23Mk6UjR3U"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","B5M0gjZbta","8HhzD0ZcuI","rGHVDoGpnC","rGHVDoGpnC","9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5848","layer":4},{"info":"number node, value=4567","layer":4},{"info":"compute binary expreesion, left_input=5848, right_input=4567, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"number node, value=8481","layer":4},{"info":"compute unary expreesion, input=8481, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=518884542","layer":3},{"info":"number node, value=1464","layer":4},{"info":"number node, value=8007","layer":4},{"info":"compute binary expreesion, left_input=1464, right_input=8007, 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=518884542, 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=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=1056","layer":4},{"info":"number node, value=2294","layer":4},{"info":"compute binary expreesion, left_input=1056, right_input=2294, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=10651","layer":3},{"info":"number node, value=6766","layer":4},{"info":"number node, value=2459","layer":4},{"info":"compute binary expreesion, left_input=6766, right_input=2459, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2459","layer":3},{"info":"compute binary expreesion, left_input=10651, right_input=2459, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=2758136","layer":2},{"info":"number node, value=1049","layer":4},{"info":"number node, value=1529","layer":4},{"info":"compute binary expreesion, left_input=1049, right_input=1529, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2009","layer":3},{"info":"number node, value=3962","layer":4},{"info":"number node, value=3142","layer":4},{"info":"compute binary expreesion, left_input=3962, right_input=3142, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-9426","layer":3},{"info":"compute binary expreesion, left_input=2009, right_input=-9426, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2009","layer":2},{"info":"compute binary expreesion, left_input=2758136, right_input=2009, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-2754085","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2754085, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⇁⨣⪵⋰*⋻4437⫥∨⫟⋰*⋻3482)↙(⋰*⋻6410↪⪝)↬(⋰*⋻1111∲⫓⋰*⋻601A)⪒(⋰*⋻880⫡⨏⋰*⋻17A6)≎⊠⪸(⋰*⋻50A1↺⋰*⋻1936)⋥≓≎(⋰*⋻874⋷⋰*⋻1170)⋝⋈⪟(⋰*⋻2A82↙⋰*⋻23A7)=NaN","reverse_text":"NaN=(⇁⨣⪵⋰*⋻4437⫥∨⫟⋰*⋻3482)↙(⋰*⋻6410↪⪝)↬(⋰*⋻1111∲⫓⋰*⋻601A)⪒(⋰*⋻880⫡⨏⋰*⋻17A6)≎⊠⪸(⋰*⋻50A1↺⋰*⋻1936)⋥≓≎(⋰*⋻874⋷⋰*⋻1170)⋝⋈⪟(⋰*⋻2A82↙⋰*⋻23A7)","cot":[{"info":"⋰*⋻4437⫥∨⫟⋰*⋻3482=NaN","layer":3},{"info":"⇁⨣⪵NaN=NaN","layer":2},{"info":"⋰*⋻6410↪⪝=⋰*⋻246995700","layer":3},{"info":"⋰*⋻1111∲⫓⋰*⋻601A=⋰*⋻0","layer":3},{"info":"⋰*⋻246995700↬⋰*⋻0=NaN","layer":2},{"info":"NaN↙NaN=NaN","layer":1},{"info":"⋰*⋻880⫡⨏⋰*⋻17A6=⋰*⋻8003","layer":3},{"info":"⋰*⋻50A1↺⋰*⋻1936=⋰*⋻1936","layer":3},{"info":"⋰*⋻8003≎⊠⪸⋰*⋻1936=⋰*⋻1614257","layer":2},{"info":"⋰*⋻874⋷⋰*⋻1170=⋰*⋻1567","layer":3},{"info":"⋰*⋻2A82↙⋰*⋻23A7=⋰*⋻-709A","layer":3},{"info":"⋰*⋻1567⋝⋈⪟⋰*⋻-709A=⋰*⋻1567","layer":2},{"info":"⋰*⋻1614257⋥≓≎⋰*⋻1567=⋰*⋻-1611204","layer":1},{"info":"NaN⪒⋰*⋻-1611204=NaN","layer":0}]}
{"id":733,"expression_no_base_symbol":"((⊥($2766$⨸⪁$5500$))⩷∴(($2501$⊭↱$3149$)≎⊠⪸($2973$⋫)))∑⇟⊟((+⊝⨔($1127$↙$4181$))⪨≂($5494$↬$1121$⋷(⨵≀≌$3024$)))","expression":"((⊥(⋰*⋻2095⨸⪁⋰*⋻4150))⩷∴((⋰*⋻1974⊭↱⋰*⋻2403)≎⊠⪸(⋰*⋻2263⋫)))∑⇟⊟((+⊝⨔(⋰*⋻935↙⋰*⋻3161))⪨≂(⋰*⋻4145↬⋰*⋻92A⋷(⨵≀≌⋰*⋻22AA)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":7475,"operation_count":13,"complexity_ratio":575.0,"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":2766,"base":11},"right_expr":{"type":"numeric_atoms","value":5500,"base":11}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2501,"base":11},"right_expr":{"type":"numeric_atoms","value":3149,"base":11}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":2973,"base":11}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1127,"base":11},"right_expr":{"type":"numeric_atoms","value":4181,"base":11}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":5494,"base":11},"right_expr":{"type":"numeric_atoms","value":1121,"base":11}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":3024,"base":11}}}}},"used_operators":["U7g4x0WXJJ","9FxExcQeMw","Q3PJZHRvZv","g55IO6H4Gj","bJkvcejdHO","COABgblf1C","JL8yIekQnl","sdazOOVcIp","DhbWaqg5eL","yyfyN0ffXY","23Mk6UjR3U","B5M0gjZbta","srAu1WTS94"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","fu6greOZ01","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2766","layer":4},{"info":"number node, value=5500","layer":4},{"info":"compute binary expreesion, left_input=2766, right_input=5500, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=16532","layer":3},{"info":"compute unary expreesion, input=16532, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"number node, value=2501","layer":4},{"info":"number node, value=3149","layer":4},{"info":"compute binary expreesion, left_input=2501, right_input=3149, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=1301","layer":3},{"info":"number node, value=2973","layer":4},{"info":"compute unary expreesion, input=2973, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=2973","layer":3},{"info":"compute binary expreesion, left_input=1301, right_input=2973, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=336486","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=336486, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"number node, value=1127","layer":4},{"info":"number node, value=4181","layer":4},{"info":"compute binary expreesion, left_input=1127, right_input=4181, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-12543","layer":3},{"info":"compute unary expreesion, input=-12543, 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=5494","layer":4},{"info":"number node, value=1121","layer":4},{"info":"compute binary expreesion, left_input=5494, right_input=1121, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=3024","layer":4},{"info":"compute unary expreesion, input=3024, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-9072","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-9072, 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=1522, 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 = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⊥(⋰*⋻2095⨸⪁⋰*⋻4150))⩷∴((⋰*⋻1974⊭↱⋰*⋻2403)≎⊠⪸(⋰*⋻2263⋫)))∑⇟⊟((+⊝⨔(⋰*⋻935↙⋰*⋻3161))⪨≂(⋰*⋻4145↬⋰*⋻92A⋷(⨵≀≌⋰*⋻22AA)))=NaN","reverse_text":"NaN=((⊥(⋰*⋻2095⨸⪁⋰*⋻4150))⩷∴((⋰*⋻1974⊭↱⋰*⋻2403)≎⊠⪸(⋰*⋻2263⋫)))∑⇟⊟((+⊝⨔(⋰*⋻935↙⋰*⋻3161))⪨≂(⋰*⋻4145↬⋰*⋻92A⋷(⨵≀≌⋰*⋻22AA)))","cot":[{"info":"⋰*⋻2095⨸⪁⋰*⋻4150=⋰*⋻1146A","layer":3},{"info":"⊥⋰*⋻1146A=NaN","layer":2},{"info":"⋰*⋻1974⊭↱⋰*⋻2403=⋰*⋻A83","layer":3},{"info":"⋰*⋻2263⋫=⋰*⋻2263","layer":3},{"info":"⋰*⋻A83≎⊠⪸⋰*⋻2263=⋰*⋻20A897","layer":2},{"info":"NaN⩷∴⋰*⋻20A897=NaN","layer":1},{"info":"⋰*⋻935↙⋰*⋻3161=⋰*⋻-9473","layer":3},{"info":"+⊝⨔⋰*⋻-9473=⋰*⋻1164","layer":2},{"info":"⋰*⋻4145↬⋰*⋻92A=NaN","layer":3},{"info":"⨵≀≌⋰*⋻22AA=⋰*⋻-68A8","layer":3},{"info":"NaN⋷⋰*⋻-68A8=NaN","layer":2},{"info":"⋰*⋻1164⪨≂NaN=NaN","layer":1},{"info":"NaN∑⇟⊟NaN=NaN","layer":0}]}
{"id":734,"expression_no_base_symbol":"(($1001$⫸⊐$2030$⪒$5488$⨰$1003$)∸)⪢((⩦⩻⨪($4340$*$1957$))≧⫂∧($6734$≧⫂∧$6838$)⨓$8321$⪢$3524$)","expression":"((⋰*⋻830⫸⊐⋰*⋻1586⪒⋰*⋻413A⨰⋰*⋻832)∸)⪢((⩦⩻⨪(⋰*⋻3296*⋰*⋻151A))≧⫂∧(⋰*⋻5072≧⫂∧⋰*⋻5157)⨓⋰*⋻6285⪢⋰*⋻2714)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":16478,"operation_count":11,"complexity_ratio":1498.0,"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":1001,"base":11},"right_expr":{"type":"numeric_atoms","value":2030,"base":11}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":5488,"base":11},"right_expr":{"type":"numeric_atoms","value":1003,"base":11}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4340,"base":11},"right_expr":{"type":"numeric_atoms","value":1957,"base":11}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":6734,"base":11},"right_expr":{"type":"numeric_atoms","value":6838,"base":11}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":8321,"base":11},"right_expr":{"type":"numeric_atoms","value":3524,"base":11}}}}},"used_operators":["dWAJyo7jo9","o20kRiQErp","f6k1SAg4EE","mqXw5SEYmG","eewbuw0ToL","Ph9nP6C5qx","2td37pGCOC","9HNa5Wba9A","3ViojmjbAp"],"dependent_operators":["k8jYdgA6NY","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1001","layer":4},{"info":"number node, value=2030","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=2030, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=7995","layer":3},{"info":"number node, value=5488","layer":4},{"info":"number node, value=1003","layer":4},{"info":"compute binary expreesion, left_input=5488, right_input=1003, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=4495","layer":3},{"info":"compute binary expreesion, left_input=7995, right_input=4495, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-12490","layer":2},{"info":"compute unary expreesion, input=-12490, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"number node, value=4340","layer":4},{"info":"number node, value=1957","layer":4},{"info":"compute binary expreesion, left_input=4340, right_input=1957, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=8493380","layer":3},{"info":"compute unary expreesion, input=8493380, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=8493380","layer":2},{"info":"number node, value=6734","layer":4},{"info":"number node, value=6838","layer":4},{"info":"compute binary expreesion, left_input=6734, right_input=6838, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=6365","layer":3},{"info":"number node, value=8321","layer":4},{"info":"number node, value=3524","layer":4},{"info":"compute binary expreesion, left_input=8321, right_input=3524, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=6365, 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=8493380, 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=177, 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":11,"result_base":11,"text":"((⋰*⋻830⫸⊐⋰*⋻1586⪒⋰*⋻413A⨰⋰*⋻832)∸)⪢((⩦⩻⨪(⋰*⋻3296*⋰*⋻151A))≧⫂∧(⋰*⋻5072≧⫂∧⋰*⋻5157)⨓⋰*⋻6285⪢⋰*⋻2714)=NaN","reverse_text":"NaN=((⋰*⋻830⫸⊐⋰*⋻1586⪒⋰*⋻413A⨰⋰*⋻832)∸)⪢((⩦⩻⨪(⋰*⋻3296*⋰*⋻151A))≧⫂∧(⋰*⋻5072≧⫂∧⋰*⋻5157)⨓⋰*⋻6285⪢⋰*⋻2714)","cot":[{"info":"⋰*⋻830⫸⊐⋰*⋻1586=⋰*⋻6009","layer":3},{"info":"⋰*⋻413A⨰⋰*⋻832=⋰*⋻3417","layer":3},{"info":"⋰*⋻6009⪒⋰*⋻3417=⋰*⋻-9425","layer":2},{"info":"⋰*⋻-9425∸=⋰*⋻151","layer":1},{"info":"⋰*⋻3296*⋰*⋻151A=⋰*⋻4881225","layer":3},{"info":"⩦⩻⨪⋰*⋻4881225=⋰*⋻4881225","layer":2},{"info":"⋰*⋻5072≧⫂∧⋰*⋻5157=⋰*⋻4867","layer":3},{"info":"⋰*⋻6285⪢⋰*⋻2714=NaN","layer":3},{"info":"⋰*⋻4867⨓NaN=NaN","layer":2},{"info":"⋰*⋻4881225≧⫂∧NaN=NaN","layer":1},{"info":"⋰*⋻151⪢NaN=NaN","layer":0}]}
{"id":735,"expression_no_base_symbol":"((($3425$-$2550$)⊭↱$2487$≧⫂∧$4164$)↙(⊄⩳↩($2835$⊉≛↸$1246$)))⩠","expression":"(((⋰*⋻2634-⋰*⋻1A09)⊭↱⋰*⋻1961≧⫂∧⋰*⋻3146)↙(⊄⩳↩(⋰*⋻2148⊉≛↸⋰*⋻A33)))⩠","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":17044,"operation_count":7,"complexity_ratio":2434.8571428571427,"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":3425,"base":11},"right_expr":{"type":"numeric_atoms","value":2550,"base":11}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2487,"base":11},"right_expr":{"type":"numeric_atoms","value":4164,"base":11}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2835,"base":11},"right_expr":{"type":"numeric_atoms","value":1246,"base":11}}}}},"used_operators":["sJAwomhLZr","yyfyN0ffXY","COABgblf1C","rysDP5nf3Z","Ph9nP6C5qx","8w2t5hMYqp","DZ8iAZOCBD"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3425","layer":4},{"info":"number node, value=2550","layer":4},{"info":"compute binary expreesion, left_input=3425, right_input=2550, op_id = rysDP5nf3Z binary_op_definition= 'None', output=875","layer":3},{"info":"number node, value=2487","layer":4},{"info":"number node, value=4164","layer":4},{"info":"compute binary expreesion, left_input=2487, right_input=4164, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3691","layer":3},{"info":"compute binary expreesion, left_input=875, right_input=3691, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=5637","layer":2},{"info":"number node, value=2835","layer":4},{"info":"number node, value=1246","layer":4},{"info":"compute binary expreesion, left_input=2835, right_input=1246, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5670","layer":3},{"info":"compute unary expreesion, input=5670, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-17010","layer":2},{"info":"compute binary expreesion, left_input=5637, right_input=-17010, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=51030","layer":1},{"info":"compute unary expreesion, input=51030, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻2634-⋰*⋻1A09)⊭↱⋰*⋻1961≧⫂∧⋰*⋻3146)↙(⊄⩳↩(⋰*⋻2148⊉≛↸⋰*⋻A33)))⩠=⋰*⋻0","reverse_text":"⋰*⋻0=(((⋰*⋻2634-⋰*⋻1A09)⊭↱⋰*⋻1961≧⫂∧⋰*⋻3146)↙(⊄⩳↩(⋰*⋻2148⊉≛↸⋰*⋻A33)))⩠","cot":[{"info":"⋰*⋻2634-⋰*⋻1A09=⋰*⋻726","layer":3},{"info":"⋰*⋻1961≧⫂∧⋰*⋻3146=⋰*⋻2856","layer":3},{"info":"⋰*⋻726⊭↱⋰*⋻2856=⋰*⋻4265","layer":2},{"info":"⋰*⋻2148⊉≛↸⋰*⋻A33=⋰*⋻4295","layer":3},{"info":"⊄⩳↩⋰*⋻4295=⋰*⋻-11864","layer":2},{"info":"⋰*⋻4265↙⋰*⋻-11864=⋰*⋻35381","layer":1},{"info":"⋰*⋻35381⩠=⋰*⋻0","layer":0}]}
{"id":736,"expression_no_base_symbol":"(($2648$⨵⪆$1260$+(⨑⩽⪐$7398$))⊉≛↸($1159$∼$4826$⫡⨏$1146$⨳⩥⨓$1436$))⪘⫢(($1644$-$1806$)⪢($5191$↺$2678$)⊪)","expression":"((⋰*⋻1A98⨵⪆⋰*⋻A46+(⨑⩽⪐⋰*⋻5616))⊉≛↸(⋰*⋻964∼⋰*⋻3698⫡⨏⋰*⋻952⨳⩥⨓⋰*⋻1096))⪘⫢((⋰*⋻1265-⋰*⋻13A2)⪢(⋰*⋻399A↺⋰*⋻2015)⊪)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2807,"operation_count":12,"complexity_ratio":233.91666666666666,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2648,"base":11},"right_expr":{"type":"numeric_atoms","value":1260,"base":11}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":7398,"base":11}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1159,"base":11},"right_expr":{"type":"numeric_atoms","value":4826,"base":11}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1146,"base":11},"right_expr":{"type":"numeric_atoms","value":1436,"base":11}}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1644,"base":11},"right_expr":{"type":"numeric_atoms","value":1806,"base":11}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":5191,"base":11},"right_expr":{"type":"numeric_atoms","value":2678,"base":11}}}}},"used_operators":["oacrs7FA3X","DZ8iAZOCBD","W4YGzv6Whe","2DQ55sFlQl","AF7qkfDlqP","QMFrweE19q","DyGG3AbaNP","nCS4ZIUYfx","zVYPLywUTj","dWAJyo7jo9","rysDP5nf3Z","7j4O788W3g"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2648","layer":4},{"info":"number node, value=1260","layer":4},{"info":"compute binary expreesion, left_input=2648, right_input=1260, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=7398","layer":4},{"info":"compute unary expreesion, input=7398, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-7125","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-7125, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-6965","layer":2},{"info":"number node, value=1159","layer":4},{"info":"number node, value=4826","layer":4},{"info":"compute binary expreesion, left_input=1159, right_input=4826, 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=1146","layer":4},{"info":"number node, value=1436","layer":4},{"info":"compute binary expreesion, left_input=1146, right_input=1436, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=290","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=290, op_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=-6965, 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=1644","layer":4},{"info":"number node, value=1806","layer":4},{"info":"compute binary expreesion, left_input=1644, right_input=1806, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-162","layer":3},{"info":"number node, value=5191","layer":4},{"info":"number node, value=2678","layer":4},{"info":"compute binary expreesion, left_input=5191, right_input=2678, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2678","layer":3},{"info":"compute binary expreesion, left_input=-162, right_input=2678, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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":11,"result_base":11,"text":"((⋰*⋻1A98⨵⪆⋰*⋻A46+(⨑⩽⪐⋰*⋻5616))⊉≛↸(⋰*⋻964∼⋰*⋻3698⫡⨏⋰*⋻952⨳⩥⨓⋰*⋻1096))⪘⫢((⋰*⋻1265-⋰*⋻13A2)⪢(⋰*⋻399A↺⋰*⋻2015)⊪)=NaN","reverse_text":"NaN=((⋰*⋻1A98⨵⪆⋰*⋻A46+(⨑⩽⪐⋰*⋻5616))⊉≛↸(⋰*⋻964∼⋰*⋻3698⫡⨏⋰*⋻952⨳⩥⨓⋰*⋻1096))⪘⫢((⋰*⋻1265-⋰*⋻13A2)⪢(⋰*⋻399A↺⋰*⋻2015)⊪)","cot":[{"info":"⋰*⋻1A98⨵⪆⋰*⋻A46=⋰*⋻136","layer":3},{"info":"⨑⩽⪐⋰*⋻5616=⋰*⋻-5398","layer":3},{"info":"⋰*⋻136+⋰*⋻-5398=⋰*⋻-5262","layer":2},{"info":"⋰*⋻964∼⋰*⋻3698=NaN","layer":3},{"info":"⋰*⋻952⨳⩥⨓⋰*⋻1096=⋰*⋻244","layer":3},{"info":"NaN⫡⨏⋰*⋻244=NaN","layer":2},{"info":"⋰*⋻-5262⊉≛↸NaN=NaN","layer":1},{"info":"⋰*⋻1265-⋰*⋻13A2=⋰*⋻-138","layer":3},{"info":"⋰*⋻399A↺⋰*⋻2015=⋰*⋻2015","layer":3},{"info":"⋰*⋻-138⪢⋰*⋻2015=NaN","layer":2},{"info":"NaN⊪=NaN","layer":1},{"info":"NaN⪘⫢NaN=NaN","layer":0}]}
{"id":737,"expression_no_base_symbol":"((∥⊫$3417$⋓$1912$)∧)⨽((($7843$+$2896$)⩠)⫡⨏(↣≠⋷($2260$+⇶⊼$2796$)))","expression":"((∥⊫⋰*⋻2627⋓⋰*⋻1489)∧)⨽(((⋰*⋻5990+⋰*⋻21A3)⩠)⫡⨏(↣≠⋷(⋰*⋻1775+⇶⊼⋰*⋻2112)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":63,"operation_count":9,"complexity_ratio":7.0,"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":3417,"base":11},"right_expr":{"type":"numeric_atoms","value":1912,"base":11}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":7843,"base":11},"right_expr":{"type":"numeric_atoms","value":2896,"base":11}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2260,"base":11},"right_expr":{"type":"numeric_atoms","value":2796,"base":11}}}}},"used_operators":["8HhzD0ZcuI","z63VuFQld9","P8v4zCKN1o","T2fj7uvVaJ","QMFrweE19q","sJAwomhLZr","W4YGzv6Whe","Asc51vEJeQ","TpPTUOHfaN"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","XhwjNDsVaA","AHs5Up7iyr","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3417","layer":4},{"info":"number node, value=1912","layer":4},{"info":"compute binary expreesion, left_input=3417, right_input=1912, op_id = T2fj7uvVaJ binary_op_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 unary expreesion, input=868, 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=7843","layer":4},{"info":"number node, value=2896","layer":4},{"info":"compute binary expreesion, left_input=7843, right_input=2896, op_id = W4YGzv6Whe binary_op_definition= 'None', output=10739","layer":3},{"info":"compute unary expreesion, input=10739, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":2},{"info":"number node, value=2260","layer":4},{"info":"number node, value=2796","layer":4},{"info":"compute binary expreesion, left_input=2260, right_input=2796, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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":"compute binary expreesion, left_input=0, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((∥⊫⋰*⋻2627⋓⋰*⋻1489)∧)⨽(((⋰*⋻5990+⋰*⋻21A3)⩠)⫡⨏(↣≠⋷(⋰*⋻1775+⇶⊼⋰*⋻2112)))=NaN","reverse_text":"NaN=((∥⊫⋰*⋻2627⋓⋰*⋻1489)∧)⨽(((⋰*⋻5990+⋰*⋻21A3)⩠)⫡⨏(↣≠⋷(⋰*⋻1775+⇶⊼⋰*⋻2112)))","cot":[{"info":"⋰*⋻2627⋓⋰*⋻1489=⋰*⋻0","layer":3},{"info":"∥⊫⋰*⋻0=⋰*⋻71A","layer":2},{"info":"⋰*⋻71A∧=NaN","layer":1},{"info":"⋰*⋻5990+⋰*⋻21A3=⋰*⋻8083","layer":3},{"info":"⋰*⋻8083⩠=⋰*⋻0","layer":2},{"info":"⋰*⋻1775+⇶⊼⋰*⋻2112=NaN","layer":3},{"info":"↣≠⋷NaN=NaN","layer":2},{"info":"⋰*⋻0⫡⨏NaN=NaN","layer":1},{"info":"NaN⨽NaN=NaN","layer":0}]}
{"id":738,"expression_no_base_symbol":"⫓⪴((($5313$⋷$7659$)⋥≓≎$2680$⋥≓≎$5273$)+⇶⊼($2068$⫌⩹⨱)⪛$6870$⨟⋌⩍$1004$)","expression":"⫓⪴(((⋰*⋻3AA0⋷⋰*⋻5833)⋥≓≎⋰*⋻2017⋥≓≎⋰*⋻3A64)+⇶⊼(⋰*⋻1610⫌⩹⨱)⪛⋰*⋻5186⨟⋌⩍⋰*⋻833)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":25,"operation_count":8,"complexity_ratio":3.125,"tree":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":5313,"base":11},"right_expr":{"type":"numeric_atoms","value":7659,"base":11}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2680,"base":11},"right_expr":{"type":"numeric_atoms","value":5273,"base":11}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":2068,"base":11}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":6870,"base":11},"right_expr":{"type":"numeric_atoms","value":1004,"base":11}}}}},"used_operators":["eLxqMNBOBk","TpPTUOHfaN","Qy55tPpLXF","23Mk6UjR3U","uFcxV4UQCh","EBcxylXtPf","rGHVDoGpnC"],"dependent_operators":["9HNa5Wba9A","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=5313","layer":4},{"info":"number node, value=7659","layer":4},{"info":"compute binary expreesion, left_input=5313, right_input=7659, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=10005","layer":3},{"info":"number node, value=2680","layer":4},{"info":"number node, value=5273","layer":4},{"info":"compute binary expreesion, left_input=2680, right_input=5273, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=7899","layer":3},{"info":"compute binary expreesion, left_input=10005, right_input=7899, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=5826","layer":2},{"info":"number node, value=2068","layer":4},{"info":"compute unary expreesion, input=2068, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=5537","layer":3},{"info":"number node, value=6870","layer":4},{"info":"number node, value=1004","layer":4},{"info":"compute binary expreesion, left_input=6870, right_input=1004, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=5537, 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=5826, 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 = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⫓⪴(((⋰*⋻3AA0⋷⋰*⋻5833)⋥≓≎⋰*⋻2017⋥≓≎⋰*⋻3A64)+⇶⊼(⋰*⋻1610⫌⩹⨱)⪛⋰*⋻5186⨟⋌⩍⋰*⋻833)=NaN","reverse_text":"NaN=⫓⪴(((⋰*⋻3AA0⋷⋰*⋻5833)⋥≓≎⋰*⋻2017⋥≓≎⋰*⋻3A64)+⇶⊼(⋰*⋻1610⫌⩹⨱)⪛⋰*⋻5186⨟⋌⩍⋰*⋻833)","cot":[{"info":"⋰*⋻3AA0⋷⋰*⋻5833=⋰*⋻7576","layer":3},{"info":"⋰*⋻2017⋥≓≎⋰*⋻3A64=⋰*⋻5A31","layer":3},{"info":"⋰*⋻7576⋥≓≎⋰*⋻5A31=⋰*⋻4417","layer":2},{"info":"⋰*⋻1610⫌⩹⨱=⋰*⋻4184","layer":3},{"info":"⋰*⋻5186⨟⋌⩍⋰*⋻833=NaN","layer":3},{"info":"⋰*⋻4184⪛NaN=NaN","layer":2},{"info":"⋰*⋻4417+⇶⊼NaN=NaN","layer":1},{"info":"⫓⪴NaN=NaN","layer":0}]}
{"id":739,"expression_no_base_symbol":"(↣≠⋷((⨑⩽⪐$1989$)⨎($1580$-$4301$)))≭($4992$⨽$7473$/($4769$⋷$1325$)⋷$2950$⫸⊐$3550$%($1770$∸))","expression":"(↣≠⋷((⨑⩽⪐⋰*⋻1549)⨎(⋰*⋻1207-⋰*⋻3260)))≭(⋰*⋻3829⨽⋰*⋻5684/(⋰*⋻3646⋷⋰*⋻AA5)⋷⋰*⋻2242⫸⊐⋰*⋻2738%(⋰*⋻136A∸))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":40587,"operation_count":12,"complexity_ratio":3382.25,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1989,"base":11}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1580,"base":11},"right_expr":{"type":"numeric_atoms","value":4301,"base":11}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4992,"base":11},"right_expr":{"type":"numeric_atoms","value":7473,"base":11}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":4769,"base":11},"right_expr":{"type":"numeric_atoms","value":1325,"base":11}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2950,"base":11},"right_expr":{"type":"numeric_atoms","value":3550,"base":11}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":1770,"base":11}}}}},"used_operators":["rxpJgHHUmx","Asc51vEJeQ","rJVOvQCfKK","AF7qkfDlqP","rysDP5nf3Z","23Mk6UjR3U","XhwjNDsVaA","8HhzD0ZcuI","k8jYdgA6NY","mqXw5SEYmG","o20kRiQErp"],"dependent_operators":["AHs5Up7iyr","XhwjNDsVaA","AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1989","layer":4},{"info":"compute unary expreesion, input=1989, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1716","layer":3},{"info":"number node, value=1580","layer":4},{"info":"number node, value=4301","layer":4},{"info":"compute binary expreesion, left_input=1580, right_input=4301, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-2721","layer":3},{"info":"compute binary expreesion, left_input=-1716, right_input=-2721, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-2721","layer":2},{"info":"compute unary expreesion, input=-2721, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"number node, value=4992","layer":4},{"info":"number node, value=7473","layer":4},{"info":"compute binary expreesion, left_input=4992, right_input=7473, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-74781297","layer":3},{"info":"number node, value=4769","layer":4},{"info":"number node, value=1325","layer":4},{"info":"compute binary expreesion, left_input=4769, right_input=1325, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-2119","layer":3},{"info":"compute binary expreesion, left_input=-74781297, right_input=-2119, op_id = XhwjNDsVaA binary_op_definition= 'None', output=35290","layer":2},{"info":"number node, value=2950","layer":4},{"info":"number node, value=3550","layer":4},{"info":"compute binary expreesion, left_input=2950, right_input=3550, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=14075","layer":3},{"info":"number node, value=1770","layer":4},{"info":"compute unary expreesion, input=1770, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=14075, right_input=177, op_id = k8jYdgA6NY binary_op_definition= 'None', output=92","layer":2},{"info":"compute binary expreesion, left_input=35290, right_input=92, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-35106","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-35106, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"(↣≠⋷((⨑⩽⪐⋰*⋻1549)⨎(⋰*⋻1207-⋰*⋻3260)))≭(⋰*⋻3829⨽⋰*⋻5684/(⋰*⋻3646⋷⋰*⋻AA5)⋷⋰*⋻2242⫸⊐⋰*⋻2738%(⋰*⋻136A∸))=NaN","reverse_text":"NaN=(↣≠⋷((⨑⩽⪐⋰*⋻1549)⨎(⋰*⋻1207-⋰*⋻3260)))≭(⋰*⋻3829⨽⋰*⋻5684/(⋰*⋻3646⋷⋰*⋻AA5)⋷⋰*⋻2242⫸⊐⋰*⋻2738%(⋰*⋻136A∸))","cot":[{"info":"⨑⩽⪐⋰*⋻1549=⋰*⋻-1320","layer":3},{"info":"⋰*⋻1207-⋰*⋻3260=⋰*⋻-2054","layer":3},{"info":"⋰*⋻-1320⨎⋰*⋻-2054=⋰*⋻-2054","layer":2},{"info":"↣≠⋷⋰*⋻-2054=NaN","layer":1},{"info":"⋰*⋻3829⨽⋰*⋻5684=⋰*⋻-39237328","layer":3},{"info":"⋰*⋻3646⋷⋰*⋻AA5=⋰*⋻-1657","layer":3},{"info":"⋰*⋻-39237328/⋰*⋻-1657=⋰*⋻24572","layer":2},{"info":"⋰*⋻2242⫸⊐⋰*⋻2738=⋰*⋻A636","layer":3},{"info":"⋰*⋻136A∸=⋰*⋻151","layer":3},{"info":"⋰*⋻A636%⋰*⋻151=⋰*⋻84","layer":2},{"info":"⋰*⋻24572⋷⋰*⋻84=⋰*⋻-24415","layer":1},{"info":"NaN≭⋰*⋻-24415=NaN","layer":0}]}
{"id":740,"expression_no_base_symbol":"↔((⪲⇎(⨰⫟⨤$1306$))⪛(($1946$+$4369$)∼($2642$⊪)))","expression":"↔((⪲⇎(⨰⫟⨤⋰*⋻A88))⪛((⋰*⋻150A+⋰*⋻3312)∼(⋰*⋻1A92⊪)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4590,"operation_count":7,"complexity_ratio":655.7142857142857,"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":1306,"base":11}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1946,"base":11},"right_expr":{"type":"numeric_atoms","value":4369,"base":11}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":2642,"base":11}}}}},"used_operators":["ruOEQAzv1W","uFcxV4UQCh","XPYlsWDdGa","Tw270M8GLb","DyGG3AbaNP","W4YGzv6Whe","zVYPLywUTj"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"⋰*⋻-112","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=1306","layer":4},{"info":"compute unary expreesion, input=1306, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":2},{"info":"number node, value=1946","layer":4},{"info":"number node, value=4369","layer":4},{"info":"compute binary expreesion, left_input=1946, right_input=4369, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6315","layer":3},{"info":"number node, value=2642","layer":4},{"info":"compute unary expreesion, input=2642, 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=6315, 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 = 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 = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":0}],"base":11,"result_base":11,"text":"↔((⪲⇎(⨰⫟⨤⋰*⋻A88))⪛((⋰*⋻150A+⋰*⋻3312)∼(⋰*⋻1A92⊪)))=⋰*⋻-112","reverse_text":"⋰*⋻-112=↔((⪲⇎(⨰⫟⨤⋰*⋻A88))⪛((⋰*⋻150A+⋰*⋻3312)∼(⋰*⋻1A92⊪)))","cot":[{"info":"⨰⫟⨤⋰*⋻A88=NaN","layer":3},{"info":"⪲⇎NaN=NaN","layer":2},{"info":"⋰*⋻150A+⋰*⋻3312=⋰*⋻4821","layer":3},{"info":"⋰*⋻1A92⊪=⋰*⋻0","layer":3},{"info":"⋰*⋻4821∼⋰*⋻0=⋰*⋻19","layer":2},{"info":"NaN⪛⋰*⋻19=NaN","layer":1},{"info":"↔NaN=⋰*⋻-112","layer":0}]}
{"id":741,"expression_no_base_symbol":"($2777$⫥∨⫟$3202$)⩚⊴⇥($1223$⋳⪒$1160$)⪨≂$1604$⨰$2254$⩷∴$2167$∑⇟⊟$5061$⫡⨏(⫓⪴($7085$⪐))⨽($1525$*$1340$/$1582$⊉≛↸$2953$)","expression":"(⋰*⋻20A5⫥∨⫟⋰*⋻2451)⩚⊴⇥(⋰*⋻A12⋳⪒⋰*⋻965)⪨≂⋰*⋻1229⨰⋰*⋻176A⩷∴⋰*⋻16A0∑⇟⊟⋰*⋻3891⫡⨏(⫓⪴(⋰*⋻5361⪐))⨽(⋰*⋻1167*⋰*⋻1009/⋰*⋻1209⊉≛↸⋰*⋻2245)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":200805257,"operation_count":14,"complexity_ratio":14343232.642857144,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2777,"base":11},"right_expr":{"type":"numeric_atoms","value":3202,"base":11}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1223,"base":11},"right_expr":{"type":"numeric_atoms","value":1160,"base":11}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1604,"base":11},"right_expr":{"type":"numeric_atoms","value":2254,"base":11}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2167,"base":11},"right_expr":{"type":"numeric_atoms","value":5061,"base":11}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":7085,"base":11}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1525,"base":11},"right_expr":{"type":"numeric_atoms","value":1340,"base":11}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1582,"base":11},"right_expr":{"type":"numeric_atoms","value":2953,"base":11}}}}},"used_operators":["QMFrweE19q","sdazOOVcIp","NTOWxs364D","KYD54nUTWz","12rbrZMWeM","9FxExcQeMw","eewbuw0ToL","U7g4x0WXJJ","8HhzD0ZcuI","eLxqMNBOBk","eH2TOUuTDT","XhwjNDsVaA","9HNa5Wba9A","DZ8iAZOCBD"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2777","layer":4},{"info":"number node, value=3202","layer":4},{"info":"compute binary expreesion, left_input=2777, right_input=3202, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1223","layer":4},{"info":"number node, value=1160","layer":4},{"info":"compute binary expreesion, left_input=1223, right_input=1160, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=999","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=999, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"number node, value=1604","layer":4},{"info":"number node, value=2254","layer":4},{"info":"compute binary expreesion, left_input=1604, right_input=2254, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-640","layer":3},{"info":"number node, value=2167","layer":4},{"info":"number node, value=5061","layer":4},{"info":"compute binary expreesion, left_input=2167, right_input=5061, 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=-640, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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=7085","layer":4},{"info":"compute unary expreesion, input=7085, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=14170","layer":3},{"info":"compute unary expreesion, input=14170, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=200788900","layer":2},{"info":"number node, value=1525","layer":4},{"info":"number node, value=1340","layer":4},{"info":"compute binary expreesion, left_input=1525, right_input=1340, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2043500","layer":3},{"info":"number node, value=1582","layer":4},{"info":"number node, value=2953","layer":4},{"info":"compute binary expreesion, left_input=1582, right_input=2953, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3164","layer":3},{"info":"compute binary expreesion, left_input=2043500, right_input=3164, op_id = XhwjNDsVaA binary_op_definition= 'None', output=645","layer":2},{"info":"compute binary expreesion, left_input=200788900, right_input=645, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":1},{"info":"compute binary expreesion, left_input=nan, 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=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻20A5⫥∨⫟⋰*⋻2451)⩚⊴⇥(⋰*⋻A12⋳⪒⋰*⋻965)⪨≂⋰*⋻1229⨰⋰*⋻176A⩷∴⋰*⋻16A0∑⇟⊟⋰*⋻3891⫡⨏(⫓⪴(⋰*⋻5361⪐))⨽(⋰*⋻1167*⋰*⋻1009/⋰*⋻1209⊉≛↸⋰*⋻2245)=NaN","reverse_text":"NaN=(⋰*⋻20A5⫥∨⫟⋰*⋻2451)⩚⊴⇥(⋰*⋻A12⋳⪒⋰*⋻965)⪨≂⋰*⋻1229⨰⋰*⋻176A⩷∴⋰*⋻16A0∑⇟⊟⋰*⋻3891⫡⨏(⫓⪴(⋰*⋻5361⪐))⨽(⋰*⋻1167*⋰*⋻1009/⋰*⋻1209⊉≛↸⋰*⋻2245)","cot":[{"info":"⋰*⋻20A5⫥∨⫟⋰*⋻2451=NaN","layer":3},{"info":"⋰*⋻A12⋳⪒⋰*⋻965=⋰*⋻829","layer":3},{"info":"NaN⩚⊴⇥⋰*⋻829=NaN","layer":2},{"info":"⋰*⋻1229⨰⋰*⋻176A=⋰*⋻-532","layer":3},{"info":"⋰*⋻16A0∑⇟⊟⋰*⋻3891=NaN","layer":3},{"info":"⋰*⋻-532⩷∴NaN=NaN","layer":2},{"info":"NaN⪨≂NaN=NaN","layer":1},{"info":"⋰*⋻5361⪐=⋰*⋻A712","layer":3},{"info":"⫓⪴⋰*⋻A712=⋰*⋻A3381744","layer":2},{"info":"⋰*⋻1167*⋰*⋻1009=⋰*⋻1176348","layer":3},{"info":"⋰*⋻1209⊉≛↸⋰*⋻2245=⋰*⋻2417","layer":3},{"info":"⋰*⋻1176348/⋰*⋻2417=⋰*⋻537","layer":2},{"info":"⋰*⋻A3381744⨽⋰*⋻537=-Inf","layer":1},{"info":"NaN⫡⨏-Inf=NaN","layer":0}]}
{"id":742,"expression_no_base_symbol":"(⊙↵-(($5268$⨐⩸⫘$4061$)≎⊠⪸($3974$⨵⪆$4160$)))≭((+⊝⨔($5233$≧⫂∧$6720$))⨵⪆$5421$⇼⇔∾$2638$⊭↱$5775$⪘⫢$2392$)","expression":"(⊙↵-((⋰*⋻3A5A⨐⩸⫘⋰*⋻3062)≎⊠⪸(⋰*⋻2A93⨵⪆⋰*⋻3142)))≭((+⊝⨔(⋰*⋻3A28≧⫂∧⋰*⋻505A))⨵⪆⋰*⋻4089⇼⇔∾⋰*⋻1A89⊭↱⋰*⋻4380⪘⫢⋰*⋻1885)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":107,"operation_count":11,"complexity_ratio":9.727272727272727,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":5268,"base":11},"right_expr":{"type":"numeric_atoms","value":4061,"base":11}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3974,"base":11},"right_expr":{"type":"numeric_atoms","value":4160,"base":11}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":5233,"base":11},"right_expr":{"type":"numeric_atoms","value":6720,"base":11}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":5421,"base":11},"right_expr":{"type":"numeric_atoms","value":2638,"base":11}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":5775,"base":11},"right_expr":{"type":"numeric_atoms","value":2392,"base":11}}}}},"used_operators":["rxpJgHHUmx","oWn0xqSxBt","bJkvcejdHO","fu6greOZ01","2DQ55sFlQl","DhbWaqg5eL","Ph9nP6C5qx","COABgblf1C","tifHPKVTfV","oacrs7FA3X"],"dependent_operators":["AHs5Up7iyr","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5268","layer":4},{"info":"number node, value=4061","layer":4},{"info":"compute binary expreesion, left_input=5268, right_input=4061, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=3974","layer":4},{"info":"number node, value=4160","layer":4},{"info":"compute binary expreesion, left_input=3974, right_input=4160, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":2},{"info":"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=5233","layer":4},{"info":"number node, value=6720","layer":4},{"info":"compute binary expreesion, left_input=5233, right_input=6720, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=6247","layer":3},{"info":"compute unary expreesion, input=6247, 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=5421","layer":4},{"info":"number node, value=2638","layer":4},{"info":"compute binary expreesion, left_input=5421, right_input=2638, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-2783","layer":3},{"info":"number node, value=5775","layer":4},{"info":"number node, value=2392","layer":4},{"info":"compute binary expreesion, left_input=5775, right_input=2392, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=11426","layer":3},{"info":"compute binary expreesion, left_input=-2783, right_input=11426, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=28423","layer":2},{"info":"compute binary expreesion, left_input=1522, right_input=28423, 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 = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⊙↵-((⋰*⋻3A5A⨐⩸⫘⋰*⋻3062)≎⊠⪸(⋰*⋻2A93⨵⪆⋰*⋻3142)))≭((+⊝⨔(⋰*⋻3A28≧⫂∧⋰*⋻505A))⨵⪆⋰*⋻4089⇼⇔∾⋰*⋻1A89⊭↱⋰*⋻4380⪘⫢⋰*⋻1885)=NaN","reverse_text":"NaN=(⊙↵-((⋰*⋻3A5A⨐⩸⫘⋰*⋻3062)≎⊠⪸(⋰*⋻2A93⨵⪆⋰*⋻3142)))≭((+⊝⨔(⋰*⋻3A28≧⫂∧⋰*⋻505A))⨵⪆⋰*⋻4089⇼⇔∾⋰*⋻1A89⊭↱⋰*⋻4380⪘⫢⋰*⋻1885)","cot":[{"info":"⋰*⋻3A5A⨐⩸⫘⋰*⋻3062=NaN","layer":3},{"info":"⋰*⋻2A93⨵⪆⋰*⋻3142=⋰*⋻136","layer":3},{"info":"NaN≎⊠⪸⋰*⋻136=NaN","layer":2},{"info":"⊙↵-NaN=NaN","layer":1},{"info":"⋰*⋻3A28≧⫂∧⋰*⋻505A=⋰*⋻476A","layer":3},{"info":"+⊝⨔⋰*⋻476A=⋰*⋻1164","layer":2},{"info":"⋰*⋻4089⇼⇔∾⋰*⋻1A89=⋰*⋻-2100","layer":3},{"info":"⋰*⋻4380⪘⫢⋰*⋻1885=⋰*⋻8648","layer":3},{"info":"⋰*⋻-2100⊭↱⋰*⋻8648=⋰*⋻1A39A","layer":2},{"info":"⋰*⋻1164⨵⪆⋰*⋻1A39A=⋰*⋻136","layer":1},{"info":"NaN≭⋰*⋻136=NaN","layer":0}]}
{"id":743,"expression_no_base_symbol":"∥⊫(((↩$1262$)⊠≄⫣)⨸⪁(⩦⩻⨪(↽≂$4827$)))","expression":"∥⊫(((↩⋰*⋻A48)⊠≄⫣)⨸⪁(⩦⩻⨪(↽≂⋰*⋻3699)))","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":31,"operation_count":6,"complexity_ratio":5.166666666666667,"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":1262,"base":11}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":4827,"base":11}}}}},"used_operators":["P8v4zCKN1o","g55IO6H4Gj","DIvbN7qnHd","jLgFTUHLKL","2td37pGCOC","u6S6b8DprG"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⋰*⋻-50","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1262","layer":4},{"info":"compute unary expreesion, input=1262, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-7316","layer":3},{"info":"compute unary expreesion, input=-7316, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"number node, value=4827","layer":4},{"info":"compute unary expreesion, input=4827, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-9654","layer":3},{"info":"compute unary expreesion, input=-9654, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-9654","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-9654, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-19308","layer":1},{"info":"compute unary expreesion, input=-19308, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=-55","layer":0}],"base":11,"result_base":11,"text":"∥⊫(((↩⋰*⋻A48)⊠≄⫣)⨸⪁(⩦⩻⨪(↽≂⋰*⋻3699)))=⋰*⋻-50","reverse_text":"⋰*⋻-50=∥⊫(((↩⋰*⋻A48)⊠≄⫣)⨸⪁(⩦⩻⨪(↽≂⋰*⋻3699)))","cot":[{"info":"↩⋰*⋻A48=⋰*⋻-5551","layer":3},{"info":"⋰*⋻-5551⊠≄⫣=⋰*⋻0","layer":2},{"info":"↽≂⋰*⋻3699=⋰*⋻-7287","layer":3},{"info":"⩦⩻⨪⋰*⋻-7287=⋰*⋻-7287","layer":2},{"info":"⋰*⋻0⨸⪁⋰*⋻-7287=⋰*⋻-13563","layer":1},{"info":"∥⊫⋰*⋻-13563=⋰*⋻-50","layer":0}]}
{"id":744,"expression_no_base_symbol":"((⫓⪴($1583$↛⩡⫤))⨳⩥⨓($1400$⨁⊸⫻)⋳⪒($1951$⨸⪁$1422$))⨐⩸⫘(∥⊫$1298$⨪↰⇹$3571$⪄$2296$⨳⩥⨓$3260$)","expression":"((⫓⪴(⋰*⋻120A↛⩡⫤))⨳⩥⨓(⋰*⋻1063⨁⊸⫻)⋳⪒(⋰*⋻1514⨸⪁⋰*⋻1083))⨐⩸⫘(∥⊫⋰*⋻A80⨪↰⇹⋰*⋻2757⪄⋰*⋻17A8⨳⩥⨓⋰*⋻24A4)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":244773,"operation_count":11,"complexity_ratio":22252.090909090908,"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":1583,"base":11}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1400,"base":11}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1951,"base":11},"right_expr":{"type":"numeric_atoms","value":1422,"base":11}}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1298,"base":11},"right_expr":{"type":"numeric_atoms","value":3571,"base":11}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2296,"base":11},"right_expr":{"type":"numeric_atoms","value":3260,"base":11}}}}},"used_operators":["fu6greOZ01","nCS4ZIUYfx","eLxqMNBOBk","FU0Cs4j7VP","12rbrZMWeM","glklzrTFfD","g55IO6H4Gj","P8v4zCKN1o","SUmda5xLS4","tmPS8pqC7x"],"dependent_operators":["3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rJVOvQCfKK"],"result":"⋰*⋻53","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1583","layer":4},{"info":"compute unary expreesion, input=1583, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-235122","layer":3},{"info":"compute unary expreesion, input=-235122, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=inf","layer":2},{"info":"number node, value=1400","layer":4},{"info":"compute unary expreesion, input=1400, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1400","layer":3},{"info":"number node, value=1951","layer":4},{"info":"number node, value=1422","layer":4},{"info":"compute binary expreesion, left_input=1951, right_input=1422, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=6746","layer":3},{"info":"compute binary expreesion, left_input=1400, right_input=6746, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-4233","layer":2},{"info":"compute binary expreesion, left_input=inf, right_input=-4233, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"number node, value=1298","layer":4},{"info":"number node, value=3571","layer":4},{"info":"compute binary expreesion, left_input=1298, right_input=3571, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1298","layer":3},{"info":"number node, value=2296","layer":4},{"info":"number node, value=3260","layer":4},{"info":"compute binary expreesion, left_input=2296, right_input=3260, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=964","layer":3},{"info":"compute binary expreesion, left_input=1298, right_input=964, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-192049","layer":2},{"info":"compute unary expreesion, input=-192049, 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 = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=58","layer":0}],"base":11,"result_base":11,"text":"((⫓⪴(⋰*⋻120A↛⩡⫤))⨳⩥⨓(⋰*⋻1063⨁⊸⫻)⋳⪒(⋰*⋻1514⨸⪁⋰*⋻1083))⨐⩸⫘(∥⊫⋰*⋻A80⨪↰⇹⋰*⋻2757⪄⋰*⋻17A8⨳⩥⨓⋰*⋻24A4)=⋰*⋻53","reverse_text":"⋰*⋻53=((⫓⪴(⋰*⋻120A↛⩡⫤))⨳⩥⨓(⋰*⋻1063⨁⊸⫻)⋳⪒(⋰*⋻1514⨸⪁⋰*⋻1083))⨐⩸⫘(∥⊫⋰*⋻A80⨪↰⇹⋰*⋻2757⪄⋰*⋻17A8⨳⩥⨓⋰*⋻24A4)","cot":[{"info":"⋰*⋻120A↛⩡⫤=⋰*⋻-150718","layer":3},{"info":"⫓⪴⋰*⋻-150718=Inf","layer":2},{"info":"⋰*⋻1063⨁⊸⫻=⋰*⋻1063","layer":3},{"info":"⋰*⋻1514⨸⪁⋰*⋻1083=⋰*⋻5083","layer":3},{"info":"⋰*⋻1063⋳⪒⋰*⋻5083=⋰*⋻-31A9","layer":2},{"info":"Inf⨳⩥⨓⋰*⋻-31A9=NaN","layer":1},{"info":"⋰*⋻A80⨪↰⇹⋰*⋻2757=⋰*⋻A80","layer":3},{"info":"⋰*⋻17A8⨳⩥⨓⋰*⋻24A4=⋰*⋻7A7","layer":3},{"info":"⋰*⋻A80⪄⋰*⋻7A7=⋰*⋻-121320","layer":2},{"info":"∥⊫⋰*⋻-121320=⋰*⋻-50","layer":1},{"info":"NaN⨐⩸⫘⋰*⋻-50=⋰*⋻53","layer":0}]}
{"id":745,"expression_no_base_symbol":"⨰⫟⨤((↯⪼$1591$)⨐⩸⫘(⨈⫕$1487$)↙($1827$⩚⊴⇥$4140$)∀⇚≩($4744$%$2698$))","expression":"⨰⫟⨤((↯⪼⋰*⋻1217)⨐⩸⫘(⨈⫕⋰*⋻1132)↙(⋰*⋻1411⩚⊴⇥⋰*⋻3124)∀⇚≩(⋰*⋻3623%⋰*⋻2033))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":44497,"operation_count":8,"complexity_ratio":5562.125,"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":1591,"base":11}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1487,"base":11}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1827,"base":11},"right_expr":{"type":"numeric_atoms","value":4140,"base":11}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4744,"base":11},"right_expr":{"type":"numeric_atoms","value":2698,"base":11}}}}},"used_operators":["Tw270M8GLb","yyfyN0ffXY","fu6greOZ01","8jW3W4yZS5","megm06wKyl","LRNGc0VcxI","NTOWxs364D","k8jYdgA6NY"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","tmPS8pqC7x","DpFCA1CohY","3ViojmjbAp","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1591","layer":4},{"info":"compute unary expreesion, input=1591, 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=1487","layer":4},{"info":"compute unary expreesion, input=1487, 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=-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":"number node, value=1827","layer":4},{"info":"number node, value=4140","layer":4},{"info":"compute binary expreesion, left_input=1827, right_input=4140, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6088","layer":3},{"info":"number node, value=4744","layer":4},{"info":"number node, value=2698","layer":4},{"info":"compute binary expreesion, left_input=4744, right_input=2698, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2046","layer":3},{"info":"compute binary expreesion, left_input=-6088, right_input=2046, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=24, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=24","layer":1},{"info":"compute unary expreesion, input=24, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⨰⫟⨤((↯⪼⋰*⋻1217)⨐⩸⫘(⨈⫕⋰*⋻1132)↙(⋰*⋻1411⩚⊴⇥⋰*⋻3124)∀⇚≩(⋰*⋻3623%⋰*⋻2033))=NaN","reverse_text":"NaN=⨰⫟⨤((↯⪼⋰*⋻1217)⨐⩸⫘(⨈⫕⋰*⋻1132)↙(⋰*⋻1411⩚⊴⇥⋰*⋻3124)∀⇚≩(⋰*⋻3623%⋰*⋻2033))","cot":[{"info":"↯⪼⋰*⋻1217=⋰*⋻-1A","layer":3},{"info":"⨈⫕⋰*⋻1132=⋰*⋻-1A","layer":3},{"info":"⋰*⋻-1A⨐⩸⫘⋰*⋻-1A=⋰*⋻22","layer":2},{"info":"⋰*⋻1411⩚⊴⇥⋰*⋻3124=⋰*⋻-4635","layer":3},{"info":"⋰*⋻3623%⋰*⋻2033=⋰*⋻15A0","layer":3},{"info":"⋰*⋻-4635∀⇚≩⋰*⋻15A0=NaN","layer":2},{"info":"⋰*⋻22↙NaN=⋰*⋻22","layer":1},{"info":"⨰⫟⨤⋰*⋻22=NaN","layer":0}]}
{"id":746,"expression_no_base_symbol":"(↣≠⋷($3920$⋝⋈⪟$1043$))⨓(($6921$%$6457$)⋫)⋫","expression":"(↣≠⋷(⋰*⋻2A44⋝⋈⪟⋰*⋻869))⨓((⋰*⋻5222%⋰*⋻4940)⋫)⋫","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1408,"operation_count":6,"complexity_ratio":234.66666666666666,"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":3920,"base":11},"right_expr":{"type":"numeric_atoms","value":1043,"base":11}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":6921,"base":11},"right_expr":{"type":"numeric_atoms","value":6457,"base":11}}}}},"used_operators":["JL8yIekQnl","3ViojmjbAp","Asc51vEJeQ","2DDjHMKMc0","k8jYdgA6NY"],"dependent_operators":["tmPS8pqC7x","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⋰*⋻395","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=3920","layer":4},{"info":"number node, value=1043","layer":4},{"info":"compute binary expreesion, left_input=3920, right_input=1043, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3920","layer":3},{"info":"compute unary expreesion, input=3920, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=6921","layer":4},{"info":"number node, value=6457","layer":4},{"info":"compute binary expreesion, left_input=6921, right_input=6457, op_id = k8jYdgA6NY binary_op_definition= 'None', output=464","layer":3},{"info":"compute unary expreesion, input=464, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=464","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=464, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-467","layer":1},{"info":"compute unary expreesion, input=-467, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=467","layer":0}],"base":11,"result_base":11,"text":"(↣≠⋷(⋰*⋻2A44⋝⋈⪟⋰*⋻869))⨓((⋰*⋻5222%⋰*⋻4940)⋫)⋫=⋰*⋻395","reverse_text":"⋰*⋻395=(↣≠⋷(⋰*⋻2A44⋝⋈⪟⋰*⋻869))⨓((⋰*⋻5222%⋰*⋻4940)⋫)⋫","cot":[{"info":"⋰*⋻2A44⋝⋈⪟⋰*⋻869=⋰*⋻2A44","layer":3},{"info":"↣≠⋷⋰*⋻2A44=NaN","layer":2},{"info":"⋰*⋻5222%⋰*⋻4940=⋰*⋻392","layer":3},{"info":"⋰*⋻392⋫=⋰*⋻392","layer":2},{"info":"NaN⨓⋰*⋻392=⋰*⋻-395","layer":1},{"info":"⋰*⋻-395⋫=⋰*⋻395","layer":0}]}
{"id":747,"expression_no_base_symbol":"⋗⩬⋾(≦∁$2572$+⇶⊼$5492$)↬((↯⪼$2181$)⨽$1672$∼$7052$)","expression":"⋗⩬⋾(≦∁⋰*⋻1A29+⇶⊼⋰*⋻4143)↬((↯⪼⋰*⋻1703)⨽⋰*⋻1290∼⋰*⋻5331)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":101,"operation_count":7,"complexity_ratio":14.428571428571429,"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":2572,"base":11},"right_expr":{"type":"numeric_atoms","value":5492,"base":11}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2181,"base":11}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1672,"base":11},"right_expr":{"type":"numeric_atoms","value":7052,"base":11}}}}},"used_operators":["DpFCA1CohY","B5M0gjZbta","9ICcGScMcE","TpPTUOHfaN","8HhzD0ZcuI","8jW3W4yZS5","DyGG3AbaNP"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","AHs5Up7iyr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=2572","layer":4},{"info":"number node, value=5492","layer":4},{"info":"compute binary expreesion, left_input=2572, right_input=5492, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=2181","layer":4},{"info":"compute unary expreesion, input=2181, 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=1672","layer":4},{"info":"number node, value=7052","layer":4},{"info":"compute binary expreesion, left_input=1672, right_input=7052, 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 = 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 = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⋗⩬⋾(≦∁⋰*⋻1A29+⇶⊼⋰*⋻4143)↬((↯⪼⋰*⋻1703)⨽⋰*⋻1290∼⋰*⋻5331)=NaN","reverse_text":"NaN=⋗⩬⋾(≦∁⋰*⋻1A29+⇶⊼⋰*⋻4143)↬((↯⪼⋰*⋻1703)⨽⋰*⋻1290∼⋰*⋻5331)","cot":[{"info":"⋰*⋻1A29+⇶⊼⋰*⋻4143=NaN","layer":3},{"info":"≦∁NaN=NaN","layer":2},{"info":"↯⪼⋰*⋻1703=⋰*⋻-1A","layer":3},{"info":"⋰*⋻1290∼⋰*⋻5331=NaN","layer":3},{"info":"⋰*⋻-1A⨽NaN=NaN","layer":2},{"info":"NaN↬NaN=NaN","layer":1},{"info":"⋗⩬⋾NaN=NaN","layer":0}]}
{"id":748,"expression_no_base_symbol":"($4640$⊴$4135$⨟⋌⩍($9507$⩷∴$3602$)⋷(⊙↵-($3948$⋫)))⪛((↣≠⋷$1385$)∲⫓$2565$⩨$4002$+(↩$1841$)⨳⩥⨓($1769$∧))","expression":"(⋰*⋻3539⊴⋰*⋻311A⨟⋌⩍(⋰*⋻7163⩷∴⋰*⋻2785)⋷(⊙↵-(⋰*⋻2A6A⋫)))⪛((↣≠⋷⋰*⋻104A)∲⫓⋰*⋻1A22⩨⋰*⋻3009+(↩⋰*⋻1424)⨳⩥⨓(⋰*⋻1369∧))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":12242,"operation_count":14,"complexity_ratio":874.4285714285714,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4640,"base":11},"right_expr":{"type":"numeric_atoms","value":4135,"base":11}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":9507,"base":11},"right_expr":{"type":"numeric_atoms","value":3602,"base":11}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":3948,"base":11}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1385,"base":11}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2565,"base":11},"right_expr":{"type":"numeric_atoms","value":4002,"base":11}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1841,"base":11}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1769,"base":11}}}}},"used_operators":["uFcxV4UQCh","23Mk6UjR3U","rGHVDoGpnC","Nsiff2A1zJ","9FxExcQeMw","oWn0xqSxBt","JL8yIekQnl","W4YGzv6Whe","i8ToyICDmI","Asc51vEJeQ","2DlMacCsIx","nCS4ZIUYfx","jLgFTUHLKL","z63VuFQld9"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4640","layer":4},{"info":"number node, value=4135","layer":4},{"info":"compute binary expreesion, left_input=4640, right_input=4135, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=9507","layer":4},{"info":"number node, value=3602","layer":4},{"info":"compute binary expreesion, left_input=9507, right_input=3602, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=11778","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=11778, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=3948","layer":4},{"info":"compute unary expreesion, input=3948, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=3948","layer":3},{"info":"compute unary expreesion, input=3948, 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 = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":1},{"info":"number node, value=1385","layer":4},{"info":"compute unary expreesion, input=1385, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=2565","layer":4},{"info":"number node, value=4002","layer":4},{"info":"compute binary expreesion, left_input=2565, right_input=4002, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"number node, value=1841","layer":4},{"info":"compute unary expreesion, input=1841, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-11948","layer":3},{"info":"number node, value=1769","layer":4},{"info":"compute unary expreesion, input=1769, 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=-11948, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻3539⊴⋰*⋻311A⨟⋌⩍(⋰*⋻7163⩷∴⋰*⋻2785)⋷(⊙↵-(⋰*⋻2A6A⋫)))⪛((↣≠⋷⋰*⋻104A)∲⫓⋰*⋻1A22⩨⋰*⋻3009+(↩⋰*⋻1424)⨳⩥⨓(⋰*⋻1369∧))=NaN","reverse_text":"NaN=(⋰*⋻3539⊴⋰*⋻311A⨟⋌⩍(⋰*⋻7163⩷∴⋰*⋻2785)⋷(⊙↵-(⋰*⋻2A6A⋫)))⪛((↣≠⋷⋰*⋻104A)∲⫓⋰*⋻1A22⩨⋰*⋻3009+(↩⋰*⋻1424)⨳⩥⨓(⋰*⋻1369∧))","cot":[{"info":"⋰*⋻3539⊴⋰*⋻311A=NaN","layer":3},{"info":"⋰*⋻7163⩷∴⋰*⋻2785=⋰*⋻8938","layer":3},{"info":"NaN⨟⋌⩍⋰*⋻8938=NaN","layer":2},{"info":"⋰*⋻2A6A⋫=⋰*⋻2A6A","layer":3},{"info":"⊙↵-⋰*⋻2A6A=⋰*⋻-1","layer":2},{"info":"NaN⋷⋰*⋻-1=NaN","layer":1},{"info":"↣≠⋷⋰*⋻104A=NaN","layer":3},{"info":"⋰*⋻1A22⩨⋰*⋻3009=⋰*⋻-3","layer":3},{"info":"NaN∲⫓⋰*⋻-3=NaN","layer":2},{"info":"↩⋰*⋻1424=⋰*⋻-8A82","layer":3},{"info":"⋰*⋻1369∧=NaN","layer":3},{"info":"⋰*⋻-8A82⨳⩥⨓NaN=NaN","layer":2},{"info":"NaN+NaN=NaN","layer":1},{"info":"NaN⪛NaN=NaN","layer":0}]}
{"id":749,"expression_no_base_symbol":"((↔$3968$)⨰(⨑⩽⪐$1114$))≹⇙⪍($1581$⋓$7100$⋳⪒($1904$⨎$1073$))⊭↱((⪲⇎$4399$)⨵⪆($1596$/$2485$))⪛((⪝⪂⫅$2943$)⊪)","expression":"((↔⋰*⋻2A88)⨰(⨑⩽⪐⋰*⋻923))≹⇙⪍(⋰*⋻1208⋓⋰*⋻5375⋳⪒(⋰*⋻1481⨎⋰*⋻896))⊭↱((⪲⇎⋰*⋻333A)⨵⪆(⋰*⋻1221/⋰*⋻195A))⪛((⪝⪂⫅⋰*⋻2236)⊪)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1298083,"operation_count":14,"complexity_ratio":92720.21428571429,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":3968,"base":11}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1114,"base":11}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1581,"base":11},"right_expr":{"type":"numeric_atoms","value":7100,"base":11}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1904,"base":11},"right_expr":{"type":"numeric_atoms","value":1073,"base":11}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":4399,"base":11}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1596,"base":11},"right_expr":{"type":"numeric_atoms","value":2485,"base":11}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":2943,"base":11}}}}},"used_operators":["COABgblf1C","AHs5Up7iyr","eewbuw0ToL","ruOEQAzv1W","AF7qkfDlqP","12rbrZMWeM","T2fj7uvVaJ","rJVOvQCfKK","uFcxV4UQCh","2DQ55sFlQl","XPYlsWDdGa","XhwjNDsVaA","zVYPLywUTj","XTarYq4gQB"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","9HNa5Wba9A","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3968","layer":4},{"info":"compute unary expreesion, input=3968, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3695","layer":3},{"info":"number node, value=1114","layer":4},{"info":"compute unary expreesion, input=1114, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-841","layer":3},{"info":"compute binary expreesion, left_input=-3695, right_input=-841, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2844","layer":2},{"info":"number node, value=1581","layer":4},{"info":"number node, value=7100","layer":4},{"info":"compute binary expreesion, left_input=1581, right_input=7100, op_id = T2fj7uvVaJ binary_op_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=1904","layer":4},{"info":"number node, value=1073","layer":4},{"info":"compute binary expreesion, left_input=1904, right_input=1073, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1073","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1073, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-1360","layer":2},{"info":"compute binary expreesion, left_input=-2844, right_input=-1360, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=4399","layer":4},{"info":"compute unary expreesion, input=4399, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=8798","layer":3},{"info":"number node, value=1596","layer":4},{"info":"number node, value=2485","layer":4},{"info":"compute binary expreesion, left_input=1596, right_input=2485, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=8798, 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=2943","layer":4},{"info":"compute unary expreesion, input=2943, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-432621","layer":3},{"info":"compute unary expreesion, input=-432621, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=inf","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=inf, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=160.0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((↔⋰*⋻2A88)⨰(⨑⩽⪐⋰*⋻923))≹⇙⪍(⋰*⋻1208⋓⋰*⋻5375⋳⪒(⋰*⋻1481⨎⋰*⋻896))⊭↱((⪲⇎⋰*⋻333A)⨵⪆(⋰*⋻1221/⋰*⋻195A))⪛((⪝⪂⫅⋰*⋻2236)⊪)=NaN","reverse_text":"NaN=((↔⋰*⋻2A88)⨰(⨑⩽⪐⋰*⋻923))≹⇙⪍(⋰*⋻1208⋓⋰*⋻5375⋳⪒(⋰*⋻1481⨎⋰*⋻896))⊭↱((⪲⇎⋰*⋻333A)⨵⪆(⋰*⋻1221/⋰*⋻195A))⪛((⪝⪂⫅⋰*⋻2236)⊪)","cot":[{"info":"↔⋰*⋻2A88=⋰*⋻-285A","layer":3},{"info":"⨑⩽⪐⋰*⋻923=⋰*⋻-6A5","layer":3},{"info":"⋰*⋻-285A⨰⋰*⋻-6A5=⋰*⋻-2156","layer":2},{"info":"⋰*⋻1208⋓⋰*⋻5375=⋰*⋻0","layer":3},{"info":"⋰*⋻1481⨎⋰*⋻896=⋰*⋻896","layer":3},{"info":"⋰*⋻0⋳⪒⋰*⋻896=⋰*⋻-1027","layer":2},{"info":"⋰*⋻-2156≹⇙⪍⋰*⋻-1027=NaN","layer":1},{"info":"⪲⇎⋰*⋻333A=⋰*⋻6679","layer":3},{"info":"⋰*⋻1221/⋰*⋻195A=⋰*⋻0","layer":3},{"info":"⋰*⋻6679⨵⪆⋰*⋻0=⋰*⋻136","layer":2},{"info":"⪝⪂⫅⋰*⋻2236=⋰*⋻-276042","layer":3},{"info":"⋰*⋻-276042⊪=Inf","layer":2},{"info":"⋰*⋻136⪛Inf=⋰*⋻136","layer":1},{"info":"NaN⊭↱⋰*⋻136=NaN","layer":0}]}
{"id":750,"expression_no_base_symbol":"(≦∁($4799$%$1116$⫡⨏$1922$⪒$4516$))%((≉$2579$)⩨$2975$⪢$1718$)↙(∥⊫$2929$⨐⩸⫘$2784$)","expression":"(≦∁(⋰*⋻3673%⋰*⋻925⫡⨏⋰*⋻1498⪒⋰*⋻3436))%((≉⋰*⋻1A35)⩨⋰*⋻2265⪢⋰*⋻1322)↙(∥⊫⋰*⋻2223⨐⩸⫘⋰*⋻2101)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1966,"operation_count":11,"complexity_ratio":178.72727272727272,"tree":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4799,"base":11},"right_expr":{"type":"numeric_atoms","value":1116,"base":11}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1922,"base":11},"right_expr":{"type":"numeric_atoms","value":4516,"base":11}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2579,"base":11}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2975,"base":11},"right_expr":{"type":"numeric_atoms","value":1718,"base":11}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2929,"base":11},"right_expr":{"type":"numeric_atoms","value":2784,"base":11}}}}},"used_operators":["k8jYdgA6NY","9ICcGScMcE","QMFrweE19q","f6k1SAg4EE","yyfyN0ffXY","2DlMacCsIx","e1ybzncUwg","dWAJyo7jo9","P8v4zCKN1o","fu6greOZ01"],"dependent_operators":["rysDP5nf3Z","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4799","layer":4},{"info":"number node, value=1116","layer":4},{"info":"compute binary expreesion, left_input=4799, right_input=1116, op_id = k8jYdgA6NY binary_op_definition= 'None', output=335","layer":3},{"info":"number node, value=1922","layer":4},{"info":"number node, value=4516","layer":4},{"info":"compute binary expreesion, left_input=1922, right_input=4516, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6438","layer":3},{"info":"compute binary expreesion, left_input=335, right_input=-6438, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-10418","layer":2},{"info":"compute unary expreesion, input=-10418, 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=2579","layer":4},{"info":"compute unary expreesion, input=2579, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3110","layer":3},{"info":"number node, value=2975","layer":4},{"info":"number node, value=1718","layer":4},{"info":"compute binary expreesion, left_input=2975, right_input=1718, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=3110, 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=2929","layer":4},{"info":"number node, value=2784","layer":4},{"info":"compute binary expreesion, left_input=2929, right_input=2784, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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 = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"(≦∁(⋰*⋻3673%⋰*⋻925⫡⨏⋰*⋻1498⪒⋰*⋻3436))%((≉⋰*⋻1A35)⩨⋰*⋻2265⪢⋰*⋻1322)↙(∥⊫⋰*⋻2223⨐⩸⫘⋰*⋻2101)=NaN","reverse_text":"NaN=(≦∁(⋰*⋻3673%⋰*⋻925⫡⨏⋰*⋻1498⪒⋰*⋻3436))%((≉⋰*⋻1A35)⩨⋰*⋻2265⪢⋰*⋻1322)↙(∥⊫⋰*⋻2223⨐⩸⫘⋰*⋻2101)","cot":[{"info":"⋰*⋻3673%⋰*⋻925=⋰*⋻285","layer":3},{"info":"⋰*⋻1498⪒⋰*⋻3436=⋰*⋻-4923","layer":3},{"info":"⋰*⋻285⫡⨏⋰*⋻-4923=⋰*⋻-7911","layer":2},{"info":"≦∁⋰*⋻-7911=⋰*⋻61","layer":1},{"info":"≉⋰*⋻1A35=⋰*⋻2378","layer":3},{"info":"⋰*⋻2265⪢⋰*⋻1322=NaN","layer":3},{"info":"⋰*⋻2378⩨NaN=NaN","layer":2},{"info":"⋰*⋻2223⨐⩸⫘⋰*⋻2101=NaN","layer":3},{"info":"∥⊫NaN=NaN","layer":2},{"info":"NaN↙NaN=NaN","layer":1},{"info":"⋰*⋻61%NaN=NaN","layer":0}]}
{"id":751,"expression_no_base_symbol":"((≉$4268$⨎$6659$)⪄($3612$*$1981$)≹⇙⪍($1967$⊴$3161$))⪘⫢(⊄⩳↩(⨈⫕$2951$⨐⩸⫘$1694$))","expression":"((≉⋰*⋻3230⨎⋰*⋻5004)⪄(⋰*⋻2794*⋰*⋻1541)≹⇙⪍(⋰*⋻1529⊴⋰*⋻2414))⪘⫢(⊄⩳↩(⨈⫕⋰*⋻2243⨐⩸⫘⋰*⋻1300))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5645,"operation_count":10,"complexity_ratio":564.5,"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":4268,"base":11},"right_expr":{"type":"numeric_atoms","value":6659,"base":11}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3612,"base":11},"right_expr":{"type":"numeric_atoms","value":1981,"base":11}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1967,"base":11},"right_expr":{"type":"numeric_atoms","value":3161,"base":11}}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2951,"base":11},"right_expr":{"type":"numeric_atoms","value":1694,"base":11}}}}},"used_operators":["oacrs7FA3X","SUmda5xLS4","e1ybzncUwg","rJVOvQCfKK","AHs5Up7iyr","9HNa5Wba9A","Nsiff2A1zJ","8w2t5hMYqp","megm06wKyl","fu6greOZ01"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4268","layer":4},{"info":"number node, value=6659","layer":4},{"info":"compute binary expreesion, left_input=4268, right_input=6659, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=6659","layer":3},{"info":"compute unary expreesion, input=6659, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=7190","layer":2},{"info":"number node, value=3612","layer":4},{"info":"number node, value=1981","layer":4},{"info":"compute binary expreesion, left_input=3612, right_input=1981, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=7155372","layer":3},{"info":"number node, value=1967","layer":4},{"info":"number node, value=3161","layer":4},{"info":"compute binary expreesion, left_input=1967, right_input=3161, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=7155372, 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=7190, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":1},{"info":"number node, value=2951","layer":4},{"info":"number node, value=1694","layer":4},{"info":"compute binary expreesion, left_input=2951, right_input=1694, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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 = 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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=63","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=63, 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":11,"result_base":11,"text":"((≉⋰*⋻3230⨎⋰*⋻5004)⪄(⋰*⋻2794*⋰*⋻1541)≹⇙⪍(⋰*⋻1529⊴⋰*⋻2414))⪘⫢(⊄⩳↩(⨈⫕⋰*⋻2243⨐⩸⫘⋰*⋻1300))=NaN","reverse_text":"NaN=((≉⋰*⋻3230⨎⋰*⋻5004)⪄(⋰*⋻2794*⋰*⋻1541)≹⇙⪍(⋰*⋻1529⊴⋰*⋻2414))⪘⫢(⊄⩳↩(⨈⫕⋰*⋻2243⨐⩸⫘⋰*⋻1300))","cot":[{"info":"⋰*⋻3230⨎⋰*⋻5004=⋰*⋻5004","layer":3},{"info":"≉⋰*⋻5004=⋰*⋻5447","layer":2},{"info":"⋰*⋻2794*⋰*⋻1541=⋰*⋻4047A34","layer":3},{"info":"⋰*⋻1529⊴⋰*⋻2414=NaN","layer":3},{"info":"⋰*⋻4047A34≹⇙⪍NaN=NaN","layer":2},{"info":"⋰*⋻5447⪄NaN=NaN","layer":1},{"info":"⋰*⋻2243⨐⩸⫘⋰*⋻1300=NaN","layer":3},{"info":"⨈⫕NaN=⋰*⋻-1A","layer":2},{"info":"⊄⩳↩⋰*⋻-1A=⋰*⋻58","layer":1},{"info":"NaN⪘⫢⋰*⋻58=NaN","layer":0}]}
{"id":752,"expression_no_base_symbol":"(⇁⨣⪵($4934$⊭↱$4655$)≹⇙⪍($4963$⨸⪁$4241$))⪒$7972$∼$7214$⋓($1258$+⇶⊼$1741$)⨳⩥⨓(⨞⊢$7261$)⨰($2938$≭$1237$)","expression":"(⇁⨣⪵(⋰*⋻3786⊭↱⋰*⋻3552)≹⇙⪍(⋰*⋻3802⨸⪁⋰*⋻3206))⪒⋰*⋻5A98∼⋰*⋻5469⋓(⋰*⋻A44+⇶⊼⋰*⋻1343)⨳⩥⨓(⨞⊢⋰*⋻5501)⨰(⋰*⋻2231≭⋰*⋻A25)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":198,"operation_count":12,"complexity_ratio":16.5,"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":4934,"base":11},"right_expr":{"type":"numeric_atoms","value":4655,"base":11}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4963,"base":11},"right_expr":{"type":"numeric_atoms","value":4241,"base":11}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":7972,"base":11},"right_expr":{"type":"numeric_atoms","value":7214,"base":11}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1258,"base":11},"right_expr":{"type":"numeric_atoms","value":1741,"base":11}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":7261,"base":11}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2938,"base":11},"right_expr":{"type":"numeric_atoms","value":1237,"base":11}}}}},"used_operators":["f6k1SAg4EE","inkyxCbjAn","AHs5Up7iyr","COABgblf1C","g55IO6H4Gj","nCS4ZIUYfx","T2fj7uvVaJ","DyGG3AbaNP","TpPTUOHfaN","eewbuw0ToL","xUOZtlo3hN","rxpJgHHUmx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4934","layer":4},{"info":"number node, value=4655","layer":4},{"info":"compute binary expreesion, left_input=4934, right_input=4655, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-553","layer":3},{"info":"number node, value=4963","layer":4},{"info":"number node, value=4241","layer":4},{"info":"compute binary expreesion, left_input=4963, right_input=4241, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=18408","layer":3},{"info":"compute binary expreesion, left_input=-553, right_input=18408, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"number node, value=7972","layer":4},{"info":"number node, value=7214","layer":4},{"info":"compute binary expreesion, left_input=7972, right_input=7214, 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=1258","layer":4},{"info":"number node, value=1741","layer":4},{"info":"compute binary expreesion, left_input=1258, right_input=1741, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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":"number node, value=7261","layer":4},{"info":"compute unary expreesion, input=7261, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-7435","layer":3},{"info":"number node, value=2938","layer":4},{"info":"number node, value=1237","layer":4},{"info":"compute binary expreesion, left_input=2938, right_input=1237, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=-7435, 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 = 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 = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⇁⨣⪵(⋰*⋻3786⊭↱⋰*⋻3552)≹⇙⪍(⋰*⋻3802⨸⪁⋰*⋻3206))⪒⋰*⋻5A98∼⋰*⋻5469⋓(⋰*⋻A44+⇶⊼⋰*⋻1343)⨳⩥⨓(⨞⊢⋰*⋻5501)⨰(⋰*⋻2231≭⋰*⋻A25)=NaN","reverse_text":"NaN=(⇁⨣⪵(⋰*⋻3786⊭↱⋰*⋻3552)≹⇙⪍(⋰*⋻3802⨸⪁⋰*⋻3206))⪒⋰*⋻5A98∼⋰*⋻5469⋓(⋰*⋻A44+⇶⊼⋰*⋻1343)⨳⩥⨓(⨞⊢⋰*⋻5501)⨰(⋰*⋻2231≭⋰*⋻A25)","cot":[{"info":"⋰*⋻3786⊭↱⋰*⋻3552=⋰*⋻-463","layer":3},{"info":"⋰*⋻3802⨸⪁⋰*⋻3206=⋰*⋻12915","layer":3},{"info":"⋰*⋻-463≹⇙⪍⋰*⋻12915=NaN","layer":2},{"info":"⇁⨣⪵NaN=NaN","layer":1},{"info":"⋰*⋻5A98∼⋰*⋻5469=NaN","layer":3},{"info":"⋰*⋻A44+⇶⊼⋰*⋻1343=NaN","layer":3},{"info":"NaN⋓NaN=NaN","layer":2},{"info":"⨞⊢⋰*⋻5501=⋰*⋻-564A","layer":3},{"info":"⋰*⋻2231≭⋰*⋻A25=NaN","layer":3},{"info":"⋰*⋻-564A⨰NaN=NaN","layer":2},{"info":"NaN⨳⩥⨓NaN=NaN","layer":1},{"info":"NaN⪒NaN=NaN","layer":0}]}
{"id":753,"expression_no_base_symbol":"(⫓⪴$1273$≹⇙⪍$2753$)↬(⨰⫟⨤$1148$↬$1091$)↛⩡⫤","expression":"(⫓⪴⋰*⋻A58≹⇙⪍⋰*⋻2083)↬(⨰⫟⨤⋰*⋻954↬⋰*⋻902)↛⩡⫤","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":96,"operation_count":6,"complexity_ratio":16.0,"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":1273,"base":11},"right_expr":{"type":"numeric_atoms","value":2753,"base":11}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1148,"base":11},"right_expr":{"type":"numeric_atoms","value":1091,"base":11}}}}},"used_operators":["FU0Cs4j7VP","B5M0gjZbta","eLxqMNBOBk","AHs5Up7iyr","Tw270M8GLb"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rGHVDoGpnC","9HNa5Wba9A","dWAJyo7jo9","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=1273","layer":4},{"info":"number node, value=2753","layer":4},{"info":"compute binary expreesion, left_input=1273, right_input=2753, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":2},{"info":"number node, value=1148","layer":4},{"info":"number node, value=1091","layer":4},{"info":"compute binary expreesion, left_input=1148, right_input=1091, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 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 = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⫓⪴⋰*⋻A58≹⇙⪍⋰*⋻2083)↬(⨰⫟⨤⋰*⋻954↬⋰*⋻902)↛⩡⫤=NaN","reverse_text":"NaN=(⫓⪴⋰*⋻A58≹⇙⪍⋰*⋻2083)↬(⨰⫟⨤⋰*⋻954↬⋰*⋻902)↛⩡⫤","cot":[{"info":"⋰*⋻A58≹⇙⪍⋰*⋻2083=NaN","layer":3},{"info":"⫓⪴NaN=NaN","layer":2},{"info":"⋰*⋻954↬⋰*⋻902=NaN","layer":3},{"info":"⨰⫟⨤NaN=NaN","layer":2},{"info":"NaN↬NaN=NaN","layer":1},{"info":"NaN↛⩡⫤=NaN","layer":0}]}
{"id":754,"expression_no_base_symbol":"((≤/$1009$)⨽($1129$↺$1045$)+($5869$⩠)⊴(∥⊫$3232$))⨟⋌⩍($1437$+⇶⊼$6063$⋷($5463$/$4265$)⋷(⨈⫕$4597$⪮%⊝$1053$))","expression":"((≤/⋰*⋻838)⨽(⋰*⋻937↺⋰*⋻870)+(⋰*⋻4456⩠)⊴(∥⊫⋰*⋻2479))⨟⋌⩍(⋰*⋻1097+⇶⊼⋰*⋻4612⋷(⋰*⋻4117/⋰*⋻3228)⋷(⨈⫕⋰*⋻34AA⪮%⊝⋰*⋻878))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5068,"operation_count":14,"complexity_ratio":362.0,"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":1009,"base":11}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1129,"base":11},"right_expr":{"type":"numeric_atoms","value":1045,"base":11}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":5869,"base":11}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":3232,"base":11}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1437,"base":11},"right_expr":{"type":"numeric_atoms","value":6063,"base":11}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":5463,"base":11},"right_expr":{"type":"numeric_atoms","value":4265,"base":11}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4597,"base":11},"right_expr":{"type":"numeric_atoms","value":1053,"base":11}}}}},"used_operators":["rGHVDoGpnC","W4YGzv6Whe","8HhzD0ZcuI","eLAdDNolq6","7j4O788W3g","Nsiff2A1zJ","sJAwomhLZr","P8v4zCKN1o","23Mk6UjR3U","TpPTUOHfaN","XhwjNDsVaA","megm06wKyl","IWmyXbctLI"],"dependent_operators":["Tcnh7f0tEr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1009","layer":4},{"info":"compute unary expreesion, input=1009, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-525","layer":3},{"info":"number node, value=1129","layer":4},{"info":"number node, value=1045","layer":4},{"info":"compute binary expreesion, left_input=1129, right_input=1045, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1045","layer":3},{"info":"compute binary expreesion, left_input=-525, right_input=1045, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-828696","layer":2},{"info":"number node, value=5869","layer":4},{"info":"compute unary expreesion, input=5869, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=3232","layer":4},{"info":"compute unary expreesion, input=3232, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4100","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4100, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-828696, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1437","layer":4},{"info":"number node, value=6063","layer":4},{"info":"compute binary expreesion, left_input=1437, right_input=6063, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=5463","layer":4},{"info":"number node, value=4265","layer":4},{"info":"compute binary expreesion, left_input=5463, right_input=4265, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"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":2},{"info":"number node, value=4597","layer":4},{"info":"number node, value=1053","layer":4},{"info":"compute binary expreesion, left_input=4597, right_input=1053, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=9510","layer":3},{"info":"compute unary expreesion, input=9510, 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 = 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 = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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":11,"result_base":11,"text":"((≤/⋰*⋻838)⨽(⋰*⋻937↺⋰*⋻870)+(⋰*⋻4456⩠)⊴(∥⊫⋰*⋻2479))⨟⋌⩍(⋰*⋻1097+⇶⊼⋰*⋻4612⋷(⋰*⋻4117/⋰*⋻3228)⋷(⨈⫕⋰*⋻34AA⪮%⊝⋰*⋻878))=NaN","reverse_text":"NaN=((≤/⋰*⋻838)⨽(⋰*⋻937↺⋰*⋻870)+(⋰*⋻4456⩠)⊴(∥⊫⋰*⋻2479))⨟⋌⩍(⋰*⋻1097+⇶⊼⋰*⋻4612⋷(⋰*⋻4117/⋰*⋻3228)⋷(⨈⫕⋰*⋻34AA⪮%⊝⋰*⋻878))","cot":[{"info":"≤/⋰*⋻838=⋰*⋻-438","layer":3},{"info":"⋰*⋻937↺⋰*⋻870=⋰*⋻870","layer":3},{"info":"⋰*⋻-438⨽⋰*⋻870=⋰*⋻-516680","layer":2},{"info":"⋰*⋻4456⩠=⋰*⋻0","layer":3},{"info":"∥⊫⋰*⋻2479=⋰*⋻3098","layer":3},{"info":"⋰*⋻0⊴⋰*⋻3098=NaN","layer":2},{"info":"⋰*⋻-516680+NaN=NaN","layer":1},{"info":"⋰*⋻1097+⇶⊼⋰*⋻4612=NaN","layer":3},{"info":"⋰*⋻4117/⋰*⋻3228=⋰*⋻1","layer":3},{"info":"NaN⋷⋰*⋻1=NaN","layer":2},{"info":"⋰*⋻34AA⪮%⊝⋰*⋻878=⋰*⋻7166","layer":3},{"info":"⨈⫕⋰*⋻7166=⋰*⋻-1A","layer":2},{"info":"NaN⋷⋰*⋻-1A=NaN","layer":1},{"info":"NaN⨟⋌⩍NaN=NaN","layer":0}]}
{"id":755,"expression_no_base_symbol":"(⨞⊢($1907$↛⩡⫤))⫡⨏($1199$⨸⪁$1988$)⨟⋌⩍($6354$⊉≛↸$1187$)⫡⨏(↔(($2326$⨎$2792$)⊭∹↮))","expression":"(⨞⊢(⋰*⋻1484↛⩡⫤))⫡⨏(⋰*⋻9A0⨸⪁⋰*⋻1548)⨟⋌⩍(⋰*⋻4857⊉≛↸⋰*⋻98A)⫡⨏(↔((⋰*⋻1825⨎⋰*⋻2109)⊭∹↮))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5891,"operation_count":10,"complexity_ratio":589.1,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1907,"base":11}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1199,"base":11},"right_expr":{"type":"numeric_atoms","value":1988,"base":11}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":6354,"base":11},"right_expr":{"type":"numeric_atoms","value":1187,"base":11}}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2326,"base":11},"right_expr":{"type":"numeric_atoms","value":2792,"base":11}}}}},"used_operators":["QMFrweE19q","xUOZtlo3hN","FU0Cs4j7VP","rGHVDoGpnC","g55IO6H4Gj","DZ8iAZOCBD","ruOEQAzv1W","xNBdhnnwKq","rJVOvQCfKK"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","Tcnh7f0tEr","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1907","layer":4},{"info":"compute unary expreesion, input=1907, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-284046","layer":3},{"info":"compute unary expreesion, input=-284046, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=283872","layer":2},{"info":"number node, value=1199","layer":4},{"info":"number node, value=1988","layer":4},{"info":"compute binary expreesion, left_input=1199, right_input=1988, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=6374","layer":3},{"info":"number node, value=6354","layer":4},{"info":"number node, value=1187","layer":4},{"info":"compute binary expreesion, left_input=6354, right_input=1187, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=12708","layer":3},{"info":"compute binary expreesion, left_input=6374, right_input=12708, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=283872, 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=2326","layer":4},{"info":"number node, value=2792","layer":4},{"info":"compute binary expreesion, left_input=2326, right_input=2792, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2792","layer":3},{"info":"compute unary expreesion, input=2792, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=5584","layer":2},{"info":"compute unary expreesion, input=5584, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-5311","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-5311, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⨞⊢(⋰*⋻1484↛⩡⫤))⫡⨏(⋰*⋻9A0⨸⪁⋰*⋻1548)⨟⋌⩍(⋰*⋻4857⊉≛↸⋰*⋻98A)⫡⨏(↔((⋰*⋻1825⨎⋰*⋻2109)⊭∹↮))=NaN","reverse_text":"NaN=(⨞⊢(⋰*⋻1484↛⩡⫤))⫡⨏(⋰*⋻9A0⨸⪁⋰*⋻1548)⨟⋌⩍(⋰*⋻4857⊉≛↸⋰*⋻98A)⫡⨏(↔((⋰*⋻1825⨎⋰*⋻2109)⊭∹↮))","cot":[{"info":"⋰*⋻1484↛⩡⫤=⋰*⋻-184454","layer":3},{"info":"⨞⊢⋰*⋻-184454=⋰*⋻184306","layer":2},{"info":"⋰*⋻9A0⨸⪁⋰*⋻1548=⋰*⋻4875","layer":3},{"info":"⋰*⋻4857⊉≛↸⋰*⋻98A=⋰*⋻9603","layer":3},{"info":"⋰*⋻4875⨟⋌⩍⋰*⋻9603=NaN","layer":2},{"info":"⋰*⋻184306⫡⨏NaN=NaN","layer":1},{"info":"⋰*⋻1825⨎⋰*⋻2109=⋰*⋻2109","layer":3},{"info":"⋰*⋻2109⊭∹↮=⋰*⋻4217","layer":2},{"info":"↔⋰*⋻4217=⋰*⋻-3A99","layer":1},{"info":"NaN⫡⨏⋰*⋻-3A99=NaN","layer":0}]}
{"id":756,"expression_no_base_symbol":"(($1117$≭$4438$)⪢(⨈⫕$3114$)⫥∨⫟(⫓⪴($1648$∲⫓$4511$)))⨓(($1201$%$2821$)⪢($2032$⨸⪁$3062$)⫥∨⫟(($5928$⨳⩥⨓$3274$)⫌⩹⨱))","expression":"((⋰*⋻926≭⋰*⋻3375)⪢(⨈⫕⋰*⋻2381)⫥∨⫟(⫓⪴(⋰*⋻1269∲⫓⋰*⋻3431)))⨓((⋰*⋻9A2%⋰*⋻2135)⪢(⋰*⋻1588⨸⪁⋰*⋻2334)⫥∨⫟((⋰*⋻44AA⨳⩥⨓⋰*⋻2507)⫌⩹⨱))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":10928,"operation_count":13,"complexity_ratio":840.6153846153846,"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":1117,"base":11},"right_expr":{"type":"numeric_atoms","value":4438,"base":11}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":3114,"base":11}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1648,"base":11},"right_expr":{"type":"numeric_atoms","value":4511,"base":11}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1201,"base":11},"right_expr":{"type":"numeric_atoms","value":2821,"base":11}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2032,"base":11},"right_expr":{"type":"numeric_atoms","value":3062,"base":11}}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5928,"base":11},"right_expr":{"type":"numeric_atoms","value":3274,"base":11}}}}},"used_operators":["3ViojmjbAp","KYD54nUTWz","dWAJyo7jo9","rxpJgHHUmx","megm06wKyl","eLxqMNBOBk","i8ToyICDmI","k8jYdgA6NY","g55IO6H4Gj","EBcxylXtPf","nCS4ZIUYfx"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","8HhzD0ZcuI","rGHVDoGpnC","k8jYdgA6NY","AHs5Up7iyr","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1117","layer":4},{"info":"number node, value=4438","layer":4},{"info":"compute binary expreesion, left_input=1117, right_input=4438, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=3114","layer":4},{"info":"compute unary expreesion, input=3114, 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 = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1648","layer":4},{"info":"number node, value=4511","layer":4},{"info":"compute binary expreesion, left_input=1648, right_input=4511, 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=nan, right_input=0, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1201","layer":4},{"info":"number node, value=2821","layer":4},{"info":"compute binary expreesion, left_input=1201, right_input=2821, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1201","layer":3},{"info":"number node, value=2032","layer":4},{"info":"number node, value=3062","layer":4},{"info":"compute binary expreesion, left_input=2032, right_input=3062, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10188","layer":3},{"info":"compute binary expreesion, left_input=1201, right_input=10188, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=5928","layer":4},{"info":"number node, value=3274","layer":4},{"info":"compute binary expreesion, left_input=5928, right_input=3274, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2654","layer":3},{"info":"compute unary expreesion, input=-2654, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=-3907","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3907, 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 = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻926≭⋰*⋻3375)⪢(⨈⫕⋰*⋻2381)⫥∨⫟(⫓⪴(⋰*⋻1269∲⫓⋰*⋻3431)))⨓((⋰*⋻9A2%⋰*⋻2135)⪢(⋰*⋻1588⨸⪁⋰*⋻2334)⫥∨⫟((⋰*⋻44AA⨳⩥⨓⋰*⋻2507)⫌⩹⨱))=NaN","reverse_text":"NaN=((⋰*⋻926≭⋰*⋻3375)⪢(⨈⫕⋰*⋻2381)⫥∨⫟(⫓⪴(⋰*⋻1269∲⫓⋰*⋻3431)))⨓((⋰*⋻9A2%⋰*⋻2135)⪢(⋰*⋻1588⨸⪁⋰*⋻2334)⫥∨⫟((⋰*⋻44AA⨳⩥⨓⋰*⋻2507)⫌⩹⨱))","cot":[{"info":"⋰*⋻926≭⋰*⋻3375=NaN","layer":3},{"info":"⨈⫕⋰*⋻2381=⋰*⋻-1A","layer":3},{"info":"NaN⪢⋰*⋻-1A=NaN","layer":2},{"info":"⋰*⋻1269∲⫓⋰*⋻3431=⋰*⋻0","layer":3},{"info":"⫓⪴⋰*⋻0=⋰*⋻0","layer":2},{"info":"NaN⫥∨⫟⋰*⋻0=NaN","layer":1},{"info":"⋰*⋻9A2%⋰*⋻2135=⋰*⋻9A2","layer":3},{"info":"⋰*⋻1588⨸⪁⋰*⋻2334=⋰*⋻7722","layer":3},{"info":"⋰*⋻9A2⪢⋰*⋻7722=NaN","layer":2},{"info":"⋰*⋻44AA⨳⩥⨓⋰*⋻2507=⋰*⋻-1AA3","layer":3},{"info":"⋰*⋻-1AA3⫌⩹⨱=⋰*⋻-2A32","layer":2},{"info":"NaN⫥∨⫟⋰*⋻-2A32=NaN","layer":1},{"info":"NaN⨓NaN=NaN","layer":0}]}
{"id":757,"expression_no_base_symbol":"((≤/$5244$)⨳⩥⨓$1026$∀⇚≩$6724$%(⊥$1417$)∼($5748$⪄$1782$))⫩⊇","expression":"((≤/⋰*⋻3A38)⨳⩥⨓⋰*⋻853∀⇚≩⋰*⋻5063%(⊥⋰*⋻1079)∼(⋰*⋻4356⪄⋰*⋻1380))⫩⊇","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7288,"operation_count":8,"complexity_ratio":911.0,"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":5244,"base":11}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1026,"base":11},"right_expr":{"type":"numeric_atoms","value":6724,"base":11}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1417,"base":11}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":5748,"base":11},"right_expr":{"type":"numeric_atoms","value":1782,"base":11}}}}},"used_operators":["BjRHVeLaeN","k8jYdgA6NY","nCS4ZIUYfx","eLAdDNolq6","LRNGc0VcxI","DyGG3AbaNP","Q3PJZHRvZv","SUmda5xLS4"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","X99M06cbEe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","fu6greOZ01","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5244","layer":4},{"info":"compute unary expreesion, input=5244, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-4760","layer":3},{"info":"number node, value=1026","layer":4},{"info":"number node, value=6724","layer":4},{"info":"compute binary expreesion, left_input=1026, right_input=6724, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=-4760, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"number node, value=1417","layer":4},{"info":"compute unary expreesion, input=1417, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=5748","layer":4},{"info":"number node, value=1782","layer":4},{"info":"compute binary expreesion, left_input=5748, right_input=1782, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-853921","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-853921, 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 = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((≤/⋰*⋻3A38)⨳⩥⨓⋰*⋻853∀⇚≩⋰*⋻5063%(⊥⋰*⋻1079)∼(⋰*⋻4356⪄⋰*⋻1380))⫩⊇=NaN","reverse_text":"NaN=((≤/⋰*⋻3A38)⨳⩥⨓⋰*⋻853∀⇚≩⋰*⋻5063%(⊥⋰*⋻1079)∼(⋰*⋻4356⪄⋰*⋻1380))⫩⊇","cot":[{"info":"≤/⋰*⋻3A38=⋰*⋻-3638","layer":3},{"info":"⋰*⋻853∀⇚≩⋰*⋻5063=NaN","layer":3},{"info":"⋰*⋻-3638⨳⩥⨓NaN=NaN","layer":2},{"info":"⊥⋰*⋻1079=NaN","layer":3},{"info":"⋰*⋻4356⪄⋰*⋻1380=⋰*⋻-533622","layer":3},{"info":"NaN∼⋰*⋻-533622=NaN","layer":2},{"info":"NaN%NaN=NaN","layer":1},{"info":"NaN⫩⊇=NaN","layer":0}]}
{"id":758,"expression_no_base_symbol":"((⇁⨣⪵$1208$⫸⊐$6964$)⨸⪁(⩦⩻⨪$1007$)⇷$7023$⊴$4179$)∀⇚≩(($1081$⋥≓≎$1973$)≧⫂∧$2138$≹⇙⪍$2775$⊉≛↸((⋗⩬⋾$2848$)⋷$8129$∲⫓$2177$))","expression":"((⇁⨣⪵⋰*⋻9A9⫸⊐⋰*⋻5261)⨸⪁(⩦⩻⨪⋰*⋻836)⇷⋰*⋻5305⊴⋰*⋻315A)∀⇚≩((⋰*⋻8A3⋥≓≎⋰*⋻1534)≧⫂∧⋰*⋻1674≹⇙⪍⋰*⋻20A3⊉≛↸((⋗⩬⋾⋰*⋻215A)⋷⋰*⋻6120∲⫓⋰*⋻16AA))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":21043,"operation_count":14,"complexity_ratio":1503.0714285714287,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1208,"base":11},"right_expr":{"type":"numeric_atoms","value":6964,"base":11}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1007,"base":11}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":7023,"base":11},"right_expr":{"type":"numeric_atoms","value":4179,"base":11}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1081,"base":11},"right_expr":{"type":"numeric_atoms","value":1973,"base":11}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2138,"base":11},"right_expr":{"type":"numeric_atoms","value":2775,"base":11}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":2848,"base":11}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":8129,"base":11},"right_expr":{"type":"numeric_atoms","value":2177,"base":11}}}}},"used_operators":["LRNGc0VcxI","g55IO6H4Gj","inkyxCbjAn","mqXw5SEYmG","mp7IySMOzn","2td37pGCOC","Nsiff2A1zJ","DZ8iAZOCBD","Ph9nP6C5qx","Qy55tPpLXF","AHs5Up7iyr","23Mk6UjR3U","DpFCA1CohY","i8ToyICDmI"],"dependent_operators":["X99M06cbEe","W4YGzv6Whe","B5M0gjZbta","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1208","layer":4},{"info":"number node, value=6964","layer":4},{"info":"compute binary expreesion, left_input=1208, right_input=6964, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=27731","layer":3},{"info":"compute unary expreesion, input=27731, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"number node, value=1007","layer":4},{"info":"compute unary expreesion, input=1007, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1007","layer":3},{"info":"number node, value=7023","layer":4},{"info":"number node, value=4179","layer":4},{"info":"compute binary expreesion, left_input=7023, right_input=4179, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1007, 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 = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"number node, value=1081","layer":4},{"info":"number node, value=1973","layer":4},{"info":"compute binary expreesion, left_input=1081, right_input=1973, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2898","layer":3},{"info":"number node, value=2138","layer":4},{"info":"number node, value=2775","layer":4},{"info":"compute binary expreesion, left_input=2138, right_input=2775, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=2898, 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=2848","layer":4},{"info":"compute unary expreesion, input=2848, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-8544","layer":3},{"info":"number node, value=8129","layer":4},{"info":"number node, value=2177","layer":4},{"info":"compute binary expreesion, left_input=8129, right_input=2177, 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=-8544, right_input=0, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=17088","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=17088, 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 = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⇁⨣⪵⋰*⋻9A9⫸⊐⋰*⋻5261)⨸⪁(⩦⩻⨪⋰*⋻836)⇷⋰*⋻5305⊴⋰*⋻315A)∀⇚≩((⋰*⋻8A3⋥≓≎⋰*⋻1534)≧⫂∧⋰*⋻1674≹⇙⪍⋰*⋻20A3⊉≛↸((⋗⩬⋾⋰*⋻215A)⋷⋰*⋻6120∲⫓⋰*⋻16AA))=NaN","reverse_text":"NaN=((⇁⨣⪵⋰*⋻9A9⫸⊐⋰*⋻5261)⨸⪁(⩦⩻⨪⋰*⋻836)⇷⋰*⋻5305⊴⋰*⋻315A)∀⇚≩((⋰*⋻8A3⋥≓≎⋰*⋻1534)≧⫂∧⋰*⋻1674≹⇙⪍⋰*⋻20A3⊉≛↸((⋗⩬⋾⋰*⋻215A)⋷⋰*⋻6120∲⫓⋰*⋻16AA))","cot":[{"info":"⋰*⋻9A9⫸⊐⋰*⋻5261=⋰*⋻19920","layer":3},{"info":"⇁⨣⪵⋰*⋻19920=NaN","layer":2},{"info":"⩦⩻⨪⋰*⋻836=⋰*⋻836","layer":3},{"info":"⋰*⋻5305⊴⋰*⋻315A=NaN","layer":3},{"info":"⋰*⋻836⇷NaN=NaN","layer":2},{"info":"NaN⨸⪁NaN=NaN","layer":1},{"info":"⋰*⋻8A3⋥≓≎⋰*⋻1534=⋰*⋻21A5","layer":3},{"info":"⋰*⋻1674≹⇙⪍⋰*⋻20A3=NaN","layer":3},{"info":"⋰*⋻21A5≧⫂∧NaN=NaN","layer":2},{"info":"⋗⩬⋾⋰*⋻215A=⋰*⋻-6468","layer":3},{"info":"⋰*⋻6120∲⫓⋰*⋻16AA=⋰*⋻0","layer":3},{"info":"⋰*⋻-6468⋷⋰*⋻0=⋰*⋻11925","layer":2},{"info":"NaN⊉≛↸⋰*⋻11925=NaN","layer":1},{"info":"NaN∀⇚≩NaN=NaN","layer":0}]}
{"id":759,"expression_no_base_symbol":"⪝⪂⫅(≉((⨈⫕$1221$)∲⫓($2916$⪐)))","expression":"⪝⪂⫅(≉((⨈⫕⋰*⋻A10)∲⫓(⋰*⋻2211⪐)))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":542,"operation_count":5,"complexity_ratio":108.4,"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":1221,"base":11}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":2916,"base":11}}}}},"used_operators":["XTarYq4gQB","e1ybzncUwg","i8ToyICDmI","megm06wKyl","eH2TOUuTDT"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻-53711","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1221","layer":4},{"info":"compute unary expreesion, input=1221, 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=2916","layer":4},{"info":"compute unary expreesion, input=2916, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=5832","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=5832, 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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=531","layer":1},{"info":"compute unary expreesion, input=531, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-78057","layer":0}],"base":11,"result_base":11,"text":"⪝⪂⫅(≉((⨈⫕⋰*⋻A10)∲⫓(⋰*⋻2211⪐)))=⋰*⋻-53711","reverse_text":"⋰*⋻-53711=⪝⪂⫅(≉((⨈⫕⋰*⋻A10)∲⫓(⋰*⋻2211⪐)))","cot":[{"info":"⨈⫕⋰*⋻A10=⋰*⋻-1A","layer":3},{"info":"⋰*⋻2211⪐=⋰*⋻4422","layer":3},{"info":"⋰*⋻-1A∲⫓⋰*⋻4422=⋰*⋻0","layer":2},{"info":"≉⋰*⋻0=⋰*⋻443","layer":1},{"info":"⪝⪂⫅⋰*⋻443=⋰*⋻-53711","layer":0}]}
{"id":760,"expression_no_base_symbol":"(($5425$↬$6349$∲⫓$6715$⨎$3132$)↺$4202$≧⫂∧$4645$⨰($1135$⩷∴$1123$))≎⊠⪸(($7477$*$3509$)⪘⫢(⊥$1544$))↬($1033$*$1709$)⪢$4489$⪮%⊝$3659$","expression":"((⋰*⋻4092↬⋰*⋻4852∲⫓⋰*⋻5055⨎⋰*⋻2398)↺⋰*⋻3180≧⫂∧⋰*⋻3543⨰(⋰*⋻942⩷∴⋰*⋻931))≎⊠⪸((⋰*⋻5688*⋰*⋻2700)⪘⫢(⊥⋰*⋻1184))↬(⋰*⋻85A*⋰*⋻1314)⪢⋰*⋻3411⪮%⊝⋰*⋻2827","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2662825,"operation_count":15,"complexity_ratio":177521.66666666666,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":5425,"base":11},"right_expr":{"type":"numeric_atoms","value":6349,"base":11}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":6715,"base":11},"right_expr":{"type":"numeric_atoms","value":3132,"base":11}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4202,"base":11},"right_expr":{"type":"numeric_atoms","value":4645,"base":11}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1135,"base":11},"right_expr":{"type":"numeric_atoms","value":1123,"base":11}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":7477,"base":11},"right_expr":{"type":"numeric_atoms","value":3509,"base":11}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1544,"base":11}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1033,"base":11},"right_expr":{"type":"numeric_atoms","value":1709,"base":11}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4489,"base":11},"right_expr":{"type":"numeric_atoms","value":3659,"base":11}}}}},"used_operators":["bJkvcejdHO","7j4O788W3g","i8ToyICDmI","B5M0gjZbta","rJVOvQCfKK","eewbuw0ToL","Ph9nP6C5qx","9FxExcQeMw","oacrs7FA3X","9HNa5Wba9A","Q3PJZHRvZv","dWAJyo7jo9","IWmyXbctLI"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","fu6greOZ01","k8jYdgA6NY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⋰*⋻61","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5425","layer":4},{"info":"number node, value=6349","layer":4},{"info":"compute binary expreesion, left_input=5425, right_input=6349, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=6715","layer":4},{"info":"number node, value=3132","layer":4},{"info":"compute binary expreesion, left_input=6715, right_input=3132, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3132","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3132, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=4202","layer":4},{"info":"number node, value=4645","layer":4},{"info":"compute binary expreesion, left_input=4202, right_input=4645, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4172","layer":3},{"info":"number node, value=1135","layer":4},{"info":"number node, value=1123","layer":4},{"info":"compute binary expreesion, left_input=1135, right_input=1123, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-8","layer":3},{"info":"compute binary expreesion, left_input=4172, right_input=-8, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=4190","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=4190, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4190","layer":1},{"info":"number node, value=7477","layer":4},{"info":"number node, value=3509","layer":4},{"info":"compute binary expreesion, left_input=7477, right_input=3509, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=26236793","layer":3},{"info":"number node, value=1544","layer":4},{"info":"compute unary expreesion, input=1544, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=26236793, 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=1033","layer":4},{"info":"number node, value=1709","layer":4},{"info":"compute binary expreesion, left_input=1033, right_input=1709, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=1765397","layer":3},{"info":"number node, value=4489","layer":4},{"info":"number node, value=3659","layer":4},{"info":"compute binary expreesion, left_input=4489, right_input=3659, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=9294","layer":3},{"info":"compute binary expreesion, left_input=1765397, right_input=9294, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=4190, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻4092↬⋰*⋻4852∲⫓⋰*⋻5055⨎⋰*⋻2398)↺⋰*⋻3180≧⫂∧⋰*⋻3543⨰(⋰*⋻942⩷∴⋰*⋻931))≎⊠⪸((⋰*⋻5688*⋰*⋻2700)⪘⫢(⊥⋰*⋻1184))↬(⋰*⋻85A*⋰*⋻1314)⪢⋰*⋻3411⪮%⊝⋰*⋻2827=⋰*⋻61","reverse_text":"⋰*⋻61=((⋰*⋻4092↬⋰*⋻4852∲⫓⋰*⋻5055⨎⋰*⋻2398)↺⋰*⋻3180≧⫂∧⋰*⋻3543⨰(⋰*⋻942⩷∴⋰*⋻931))≎⊠⪸((⋰*⋻5688*⋰*⋻2700)⪘⫢(⊥⋰*⋻1184))↬(⋰*⋻85A*⋰*⋻1314)⪢⋰*⋻3411⪮%⊝⋰*⋻2827","cot":[{"info":"⋰*⋻4092↬⋰*⋻4852=NaN","layer":3},{"info":"⋰*⋻5055⨎⋰*⋻2398=⋰*⋻2398","layer":3},{"info":"NaN∲⫓⋰*⋻2398=⋰*⋻0","layer":2},{"info":"⋰*⋻3180≧⫂∧⋰*⋻3543=⋰*⋻3153","layer":3},{"info":"⋰*⋻942⩷∴⋰*⋻931=⋰*⋻-8","layer":3},{"info":"⋰*⋻3153⨰⋰*⋻-8=⋰*⋻316A","layer":2},{"info":"⋰*⋻0↺⋰*⋻316A=⋰*⋻316A","layer":1},{"info":"⋰*⋻5688*⋰*⋻2700=⋰*⋻138A0100","layer":3},{"info":"⊥⋰*⋻1184=NaN","layer":3},{"info":"⋰*⋻138A0100⪘⫢NaN=NaN","layer":2},{"info":"⋰*⋻85A*⋰*⋻1314=⋰*⋻AA6407","layer":3},{"info":"⋰*⋻3411⪮%⊝⋰*⋻2827=⋰*⋻6A8A","layer":3},{"info":"⋰*⋻AA6407⪢⋰*⋻6A8A=NaN","layer":2},{"info":"NaN↬NaN=NaN","layer":1},{"info":"⋰*⋻316A≎⊠⪸NaN=⋰*⋻61","layer":0}]}
{"id":761,"expression_no_base_symbol":"⩦⩻⨪((⨈⫕$5809$)⨐⩸⫘($8270$/$5795$)↙(($5536$≣⋋)⪒($1279$⪨≂$1465$)))","expression":"⩦⩻⨪((⨈⫕⋰*⋻4401)⨐⩸⫘(⋰*⋻6239/⋰*⋻4399)↙((⋰*⋻4183≣⋋)⪒(⋰*⋻A63⪨≂⋰*⋻1112)))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":920,"operation_count":8,"complexity_ratio":115.0,"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":5809,"base":11}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":8270,"base":11},"right_expr":{"type":"numeric_atoms","value":5795,"base":11}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":5536,"base":11}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1279,"base":11},"right_expr":{"type":"numeric_atoms","value":1465,"base":11}}}}},"used_operators":["2td37pGCOC","yyfyN0ffXY","fu6greOZ01","megm06wKyl","XhwjNDsVaA","f6k1SAg4EE","Tcnh7f0tEr","sdazOOVcIp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","3ViojmjbAp","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"⋰*⋻-4","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=5809","layer":4},{"info":"compute unary expreesion, input=5809, 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=8270","layer":4},{"info":"number node, value=5795","layer":4},{"info":"compute binary expreesion, left_input=8270, right_input=5795, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=-21, 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":2},{"info":"number node, value=5536","layer":4},{"info":"compute unary expreesion, input=5536, 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=1279","layer":4},{"info":"number node, value=1465","layer":4},{"info":"compute binary expreesion, left_input=1279, right_input=1465, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-270","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-270, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=270","layer":2},{"info":"compute binary expreesion, left_input=-4, right_input=270, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4","layer":1},{"info":"compute unary expreesion, input=-4, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-4","layer":0}],"base":11,"result_base":11,"text":"⩦⩻⨪((⨈⫕⋰*⋻4401)⨐⩸⫘(⋰*⋻6239/⋰*⋻4399)↙((⋰*⋻4183≣⋋)⪒(⋰*⋻A63⪨≂⋰*⋻1112)))=⋰*⋻-4","reverse_text":"⋰*⋻-4=⩦⩻⨪((⨈⫕⋰*⋻4401)⨐⩸⫘(⋰*⋻6239/⋰*⋻4399)↙((⋰*⋻4183≣⋋)⪒(⋰*⋻A63⪨≂⋰*⋻1112)))","cot":[{"info":"⨈⫕⋰*⋻4401=⋰*⋻-1A","layer":3},{"info":"⋰*⋻6239/⋰*⋻4399=⋰*⋻1","layer":3},{"info":"⋰*⋻-1A⨐⩸⫘⋰*⋻1=⋰*⋻-4","layer":2},{"info":"⋰*⋻4183≣⋋=⋰*⋻0","layer":3},{"info":"⋰*⋻A63⪨≂⋰*⋻1112=⋰*⋻-226","layer":3},{"info":"⋰*⋻0⪒⋰*⋻-226=⋰*⋻226","layer":2},{"info":"⋰*⋻-4↙⋰*⋻226=⋰*⋻-4","layer":1},{"info":"⩦⩻⨪⋰*⋻-4=⋰*⋻-4","layer":0}]}
{"id":762,"expression_no_base_symbol":"$4848$⪢$1841$⇼⇔∾($1262$⊭↱$2930$)/($3056$*$1066$↛⩡⫤)⪨≂($4270$≧⫂∧$1149$⨵⪆$3692$↬$3987$⪨≂($2747$↬$1864$⊪))","expression":"⋰*⋻3708⪢⋰*⋻1424⇼⇔∾(⋰*⋻A48⊭↱⋰*⋻2224)/(⋰*⋻2329*⋰*⋻88A↛⩡⫤)⪨≂(⋰*⋻3232≧⫂∧⋰*⋻955⨵⪆⋰*⋻2857↬⋰*⋻2AA5⪨≂(⋰*⋻2078↬⋰*⋻1445⊪))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3210,"operation_count":13,"complexity_ratio":246.92307692307693,"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":4848,"base":11},"right_expr":{"type":"numeric_atoms","value":1841,"base":11}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1262,"base":11},"right_expr":{"type":"numeric_atoms","value":2930,"base":11}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3056,"base":11},"right_expr":{"type":"numeric_atoms","value":1066,"base":11}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4270,"base":11},"right_expr":{"type":"numeric_atoms","value":1149,"base":11}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3692,"base":11},"right_expr":{"type":"numeric_atoms","value":3987,"base":11}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2747,"base":11},"right_expr":{"type":"numeric_atoms","value":1864,"base":11}}}}},"used_operators":["sdazOOVcIp","XhwjNDsVaA","tifHPKVTfV","dWAJyo7jo9","COABgblf1C","FU0Cs4j7VP","9HNa5Wba9A","2DQ55sFlQl","Ph9nP6C5qx","B5M0gjZbta","zVYPLywUTj"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4848","layer":4},{"info":"number node, value=1841","layer":4},{"info":"compute binary expreesion, left_input=4848, right_input=1841, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1262","layer":4},{"info":"number node, value=2930","layer":4},{"info":"compute binary expreesion, left_input=1262, right_input=2930, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=3341","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3341, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"number node, value=3056","layer":4},{"info":"number node, value=1066","layer":4},{"info":"compute binary expreesion, left_input=3056, right_input=1066, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3257696","layer":3},{"info":"compute unary expreesion, input=3257696, 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=nan, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=4270","layer":4},{"info":"number node, value=1149","layer":4},{"info":"compute binary expreesion, left_input=4270, right_input=1149, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=676","layer":3},{"info":"number node, value=3692","layer":4},{"info":"number node, value=3987","layer":4},{"info":"compute binary expreesion, left_input=3692, right_input=3987, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=676, 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=2747","layer":4},{"info":"number node, value=1864","layer":4},{"info":"compute binary expreesion, left_input=2747, right_input=1864, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=160, 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":11,"result_base":11,"text":"⋰*⋻3708⪢⋰*⋻1424⇼⇔∾(⋰*⋻A48⊭↱⋰*⋻2224)/(⋰*⋻2329*⋰*⋻88A↛⩡⫤)⪨≂(⋰*⋻3232≧⫂∧⋰*⋻955⨵⪆⋰*⋻2857↬⋰*⋻2AA5⪨≂(⋰*⋻2078↬⋰*⋻1445⊪))=NaN","reverse_text":"NaN=⋰*⋻3708⪢⋰*⋻1424⇼⇔∾(⋰*⋻A48⊭↱⋰*⋻2224)/(⋰*⋻2329*⋰*⋻88A↛⩡⫤)⪨≂(⋰*⋻3232≧⫂∧⋰*⋻955⨵⪆⋰*⋻2857↬⋰*⋻2AA5⪨≂(⋰*⋻2078↬⋰*⋻1445⊪))","cot":[{"info":"⋰*⋻3708⪢⋰*⋻1424=NaN","layer":3},{"info":"⋰*⋻A48⊭↱⋰*⋻2224=⋰*⋻2568","layer":3},{"info":"NaN⇼⇔∾⋰*⋻2568=NaN","layer":2},{"info":"⋰*⋻2329*⋰*⋻88A=⋰*⋻1925612","layer":3},{"info":"⋰*⋻1925612↛⩡⫤=NaN","layer":2},{"info":"NaN/NaN=NaN","layer":1},{"info":"⋰*⋻3232≧⫂∧⋰*⋻955=⋰*⋻565","layer":3},{"info":"⋰*⋻2857↬⋰*⋻2AA5=NaN","layer":3},{"info":"⋰*⋻565⨵⪆NaN=⋰*⋻136","layer":2},{"info":"⋰*⋻2078↬⋰*⋻1445=NaN","layer":3},{"info":"NaN⊪=NaN","layer":2},{"info":"⋰*⋻136⪨≂NaN=NaN","layer":1},{"info":"NaN⪨≂NaN=NaN","layer":0}]}
{"id":763,"expression_no_base_symbol":"(($2507$⇼⇔∾$4742$⇼⇔∾$1088$∀⇚≩$4119$)⨳⩥⨓($1850$⋥≓≎$3836$⨸⪁($2290$∸)))⋝⋈⪟((($1498$⊉≛↸$2715$)⩤)⋓(($4265$⋳⪒$1113$)⋝⋈⪟(∂$3389$)))","expression":"((⋰*⋻197A⇼⇔∾⋰*⋻3621⇼⇔∾⋰*⋻8AA∀⇚≩⋰*⋻3105)⨳⩥⨓(⋰*⋻1432⋥≓≎⋰*⋻2978⨸⪁(⋰*⋻17A2∸)))⋝⋈⪟(((⋰*⋻1142⊉≛↸⋰*⋻2049)⩤)⋓((⋰*⋻3228⋳⪒⋰*⋻922)⋝⋈⪟(∂⋰*⋻2601)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7837,"operation_count":14,"complexity_ratio":559.7857142857143,"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":2507,"base":11},"right_expr":{"type":"numeric_atoms","value":4742,"base":11}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1088,"base":11},"right_expr":{"type":"numeric_atoms","value":4119,"base":11}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1850,"base":11},"right_expr":{"type":"numeric_atoms","value":3836,"base":11}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":2290,"base":11}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1498,"base":11},"right_expr":{"type":"numeric_atoms","value":2715,"base":11}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":4265,"base":11},"right_expr":{"type":"numeric_atoms","value":1113,"base":11}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":3389,"base":11}}}}},"used_operators":["2DDjHMKMc0","nCS4ZIUYfx","tifHPKVTfV","LRNGc0VcxI","g55IO6H4Gj","Qy55tPpLXF","o20kRiQErp","T2fj7uvVaJ","Z2TMIBDE3Q","DZ8iAZOCBD","12rbrZMWeM","Uaa54Peajs"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2507","layer":4},{"info":"number node, value=4742","layer":4},{"info":"compute binary expreesion, left_input=2507, right_input=4742, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=2235","layer":3},{"info":"number node, value=1088","layer":4},{"info":"number node, value=4119","layer":4},{"info":"compute binary expreesion, left_input=1088, right_input=4119, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=2235, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"number node, value=1850","layer":4},{"info":"number node, value=3836","layer":4},{"info":"compute binary expreesion, left_input=1850, right_input=3836, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=5855","layer":3},{"info":"number node, value=2290","layer":4},{"info":"compute unary expreesion, input=2290, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=5855, right_input=177, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=12064","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=12064, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"number node, value=1498","layer":4},{"info":"number node, value=2715","layer":4},{"info":"compute binary expreesion, left_input=1498, right_input=2715, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2996","layer":3},{"info":"compute unary expreesion, input=2996, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2996","layer":2},{"info":"number node, value=4265","layer":4},{"info":"number node, value=1113","layer":4},{"info":"compute binary expreesion, left_input=4265, right_input=1113, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=7130","layer":3},{"info":"number node, value=3389","layer":4},{"info":"compute unary expreesion, input=3389, 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=7130, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2996, 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 = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻197A⇼⇔∾⋰*⋻3621⇼⇔∾⋰*⋻8AA∀⇚≩⋰*⋻3105)⨳⩥⨓(⋰*⋻1432⋥≓≎⋰*⋻2978⨸⪁(⋰*⋻17A2∸)))⋝⋈⪟(((⋰*⋻1142⊉≛↸⋰*⋻2049)⩤)⋓((⋰*⋻3228⋳⪒⋰*⋻922)⋝⋈⪟(∂⋰*⋻2601)))=NaN","reverse_text":"NaN=((⋰*⋻197A⇼⇔∾⋰*⋻3621⇼⇔∾⋰*⋻8AA∀⇚≩⋰*⋻3105)⨳⩥⨓(⋰*⋻1432⋥≓≎⋰*⋻2978⨸⪁(⋰*⋻17A2∸)))⋝⋈⪟(((⋰*⋻1142⊉≛↸⋰*⋻2049)⩤)⋓((⋰*⋻3228⋳⪒⋰*⋻922)⋝⋈⪟(∂⋰*⋻2601)))","cot":[{"info":"⋰*⋻197A⇼⇔∾⋰*⋻3621=⋰*⋻1752","layer":3},{"info":"⋰*⋻8AA∀⇚≩⋰*⋻3105=NaN","layer":3},{"info":"⋰*⋻1752⇼⇔∾NaN=NaN","layer":2},{"info":"⋰*⋻1432⋥≓≎⋰*⋻2978=⋰*⋻4443","layer":3},{"info":"⋰*⋻17A2∸=⋰*⋻151","layer":3},{"info":"⋰*⋻4443⨸⪁⋰*⋻151=⋰*⋻9078","layer":2},{"info":"NaN⨳⩥⨓⋰*⋻9078=NaN","layer":1},{"info":"⋰*⋻1142⊉≛↸⋰*⋻2049=⋰*⋻2284","layer":3},{"info":"⋰*⋻2284⩤=⋰*⋻-2284","layer":2},{"info":"⋰*⋻3228⋳⪒⋰*⋻922=⋰*⋻53A2","layer":3},{"info":"∂⋰*⋻2601=NaN","layer":3},{"info":"⋰*⋻53A2⋝⋈⪟NaN=NaN","layer":2},{"info":"⋰*⋻-2284⋓NaN=NaN","layer":1},{"info":"NaN⋝⋈⪟NaN=NaN","layer":0}]}
{"id":764,"expression_no_base_symbol":"⨰⫟⨤($6738$⊴$1729$⇼⇔∾($1250$⇼⇔∾$1191$))⪮%⊝($3101$⨰$3556$)⊴($1272$⇷$1290$)","expression":"⨰⫟⨤(⋰*⋻5076⊴⋰*⋻1332⇼⇔∾(⋰*⋻A37⇼⇔∾⋰*⋻993))⪮%⊝(⋰*⋻236A⨰⋰*⋻2743)⊴(⋰*⋻A57⇷⋰*⋻A73)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":24145,"operation_count":8,"complexity_ratio":3018.125,"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":6738,"base":11},"right_expr":{"type":"numeric_atoms","value":1729,"base":11}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1250,"base":11},"right_expr":{"type":"numeric_atoms","value":1191,"base":11}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3101,"base":11},"right_expr":{"type":"numeric_atoms","value":3556,"base":11}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1272,"base":11},"right_expr":{"type":"numeric_atoms","value":1290,"base":11}}}}},"used_operators":["Tw270M8GLb","IWmyXbctLI","tifHPKVTfV","Nsiff2A1zJ","eewbuw0ToL","mp7IySMOzn"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6738","layer":4},{"info":"number node, value=1729","layer":4},{"info":"compute binary expreesion, left_input=6738, right_input=1729, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1250","layer":4},{"info":"number node, value=1191","layer":4},{"info":"compute binary expreesion, left_input=1250, right_input=1191, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-59","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-59, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"number node, value=3101","layer":4},{"info":"number node, value=3556","layer":4},{"info":"compute binary expreesion, left_input=3101, right_input=3556, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-445","layer":3},{"info":"number node, value=1272","layer":4},{"info":"number node, value=1290","layer":4},{"info":"compute binary expreesion, left_input=1272, right_input=1290, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2580","layer":3},{"info":"compute binary expreesion, left_input=-445, right_input=2580, 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 = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⨰⫟⨤(⋰*⋻5076⊴⋰*⋻1332⇼⇔∾(⋰*⋻A37⇼⇔∾⋰*⋻993))⪮%⊝(⋰*⋻236A⨰⋰*⋻2743)⊴(⋰*⋻A57⇷⋰*⋻A73)=NaN","reverse_text":"NaN=⨰⫟⨤(⋰*⋻5076⊴⋰*⋻1332⇼⇔∾(⋰*⋻A37⇼⇔∾⋰*⋻993))⪮%⊝(⋰*⋻236A⨰⋰*⋻2743)⊴(⋰*⋻A57⇷⋰*⋻A73)","cot":[{"info":"⋰*⋻5076⊴⋰*⋻1332=NaN","layer":3},{"info":"⋰*⋻A37⇼⇔∾⋰*⋻993=⋰*⋻-54","layer":3},{"info":"NaN⇼⇔∾⋰*⋻-54=NaN","layer":2},{"info":"⋰*⋻236A⨰⋰*⋻2743=⋰*⋻-375","layer":3},{"info":"⋰*⋻A57⇷⋰*⋻A73=⋰*⋻1A36","layer":3},{"info":"⋰*⋻-375⊴⋰*⋻1A36=NaN","layer":2},{"info":"NaN⪮%⊝NaN=NaN","layer":1},{"info":"⨰⫟⨤NaN=NaN","layer":0}]}
{"id":765,"expression_no_base_symbol":"(⇁⨣⪵$2401$⨟⋌⩍$3151$⋓($3805$⊦⊿))+(-$6682$)⊉≛↸(⩦⩻⨪$1106$)⊭↱($1463$⇷$1305$)⇷($3859$⋷$2666$)","expression":"(⇁⨣⪵⋰*⋻1893⨟⋌⩍⋰*⋻2405⋓(⋰*⋻294A⊦⊿))+(-⋰*⋻5025)⊉≛↸(⩦⩻⨪⋰*⋻916)⊭↱(⋰*⋻1110⇷⋰*⋻A87)⇷(⋰*⋻2999⋷⋰*⋻2004)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":57073,"operation_count":12,"complexity_ratio":4756.083333333333,"tree":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2401,"base":11},"right_expr":{"type":"numeric_atoms","value":3151,"base":11}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":3805,"base":11}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":6682,"base":11}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1106,"base":11}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1463,"base":11},"right_expr":{"type":"numeric_atoms","value":1305,"base":11}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3859,"base":11},"right_expr":{"type":"numeric_atoms","value":2666,"base":11}}}}},"used_operators":["W4YGzv6Whe","inkyxCbjAn","T2fj7uvVaJ","rGHVDoGpnC","14qkJME0vr","COABgblf1C","DZ8iAZOCBD","t8gj7n24qd","2td37pGCOC","mp7IySMOzn","23Mk6UjR3U"],"dependent_operators":["B5M0gjZbta","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","Tcnh7f0tEr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻6102","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2401","layer":4},{"info":"number node, value=3151","layer":4},{"info":"compute binary expreesion, left_input=2401, right_input=3151, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=3805","layer":4},{"info":"compute unary expreesion, input=3805, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-11494","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-11494, op_id = T2fj7uvVaJ binary_op_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 = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=0","layer":1},{"info":"number node, value=6682","layer":4},{"info":"compute unary expreesion, input=6682, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-6682","layer":3},{"info":"number node, value=1106","layer":4},{"info":"compute unary expreesion, input=1106, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1106","layer":3},{"info":"compute binary expreesion, left_input=-6682, right_input=1106, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-1106","layer":2},{"info":"number node, value=1463","layer":4},{"info":"number node, value=1305","layer":4},{"info":"compute binary expreesion, left_input=1463, right_input=1305, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2610","layer":3},{"info":"number node, value=3859","layer":4},{"info":"number node, value=2666","layer":4},{"info":"compute binary expreesion, left_input=3859, right_input=2666, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1473","layer":3},{"info":"compute binary expreesion, left_input=2610, right_input=1473, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2946","layer":2},{"info":"compute binary expreesion, left_input=-1106, right_input=2946, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=8109","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=8109, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8109","layer":0}],"base":11,"result_base":11,"text":"(⇁⨣⪵⋰*⋻1893⨟⋌⩍⋰*⋻2405⋓(⋰*⋻294A⊦⊿))+(-⋰*⋻5025)⊉≛↸(⩦⩻⨪⋰*⋻916)⊭↱(⋰*⋻1110⇷⋰*⋻A87)⇷(⋰*⋻2999⋷⋰*⋻2004)=⋰*⋻6102","reverse_text":"⋰*⋻6102=(⇁⨣⪵⋰*⋻1893⨟⋌⩍⋰*⋻2405⋓(⋰*⋻294A⊦⊿))+(-⋰*⋻5025)⊉≛↸(⩦⩻⨪⋰*⋻916)⊭↱(⋰*⋻1110⇷⋰*⋻A87)⇷(⋰*⋻2999⋷⋰*⋻2004)","cot":[{"info":"⋰*⋻1893⨟⋌⩍⋰*⋻2405=NaN","layer":3},{"info":"⋰*⋻294A⊦⊿=⋰*⋻-86AA","layer":3},{"info":"NaN⋓⋰*⋻-86AA=⋰*⋻0","layer":2},{"info":"⇁⨣⪵⋰*⋻0=⋰*⋻0","layer":1},{"info":"-⋰*⋻5025=⋰*⋻-5025","layer":3},{"info":"⩦⩻⨪⋰*⋻916=⋰*⋻916","layer":3},{"info":"⋰*⋻-5025⊉≛↸⋰*⋻916=⋰*⋻-916","layer":2},{"info":"⋰*⋻1110⇷⋰*⋻A87=⋰*⋻1A63","layer":3},{"info":"⋰*⋻2999⋷⋰*⋻2004=⋰*⋻111A","layer":3},{"info":"⋰*⋻1A63⇷⋰*⋻111A=⋰*⋻2239","layer":2},{"info":"⋰*⋻-916⊭↱⋰*⋻2239=⋰*⋻6102","layer":1},{"info":"⋰*⋻0+⋰*⋻6102=⋰*⋻6102","layer":0}]}
{"id":766,"expression_no_base_symbol":"(⨞⊢(↔$4670$))⋳⪒($1152$⨎$4662$⨎(⨵≀≌$1386$))⋷(($1147$≭$2494$⪠⩆⊳)⫡⨏($1574$⫡⨏$6864$)⨐⩸⫘$4065$⩚⊴⇥$2704$)","expression":"(⨞⊢(↔⋰*⋻3566))⋳⪒(⋰*⋻958⨎⋰*⋻3559⨎(⨵≀≌⋰*⋻1050))⋷((⋰*⋻953≭⋰*⋻1968⪠⩆⊳)⫡⨏(⋰*⋻1201⫡⨏⋰*⋻5180)⨐⩸⫘⋰*⋻3066⩚⊴⇥⋰*⋻2039)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":49,"operation_count":13,"complexity_ratio":3.769230769230769,"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":4670,"base":11}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1152,"base":11},"right_expr":{"type":"numeric_atoms","value":4662,"base":11}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1386,"base":11}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1147,"base":11},"right_expr":{"type":"numeric_atoms","value":2494,"base":11}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1574,"base":11},"right_expr":{"type":"numeric_atoms","value":6864,"base":11}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4065,"base":11},"right_expr":{"type":"numeric_atoms","value":2704,"base":11}}}}},"used_operators":["23Mk6UjR3U","12rbrZMWeM","xUOZtlo3hN","ruOEQAzv1W","rJVOvQCfKK","srAu1WTS94","QMFrweE19q","JLbD19bQDL","rxpJgHHUmx","fu6greOZ01","NTOWxs364D"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4670","layer":4},{"info":"compute unary expreesion, input=4670, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-4397","layer":3},{"info":"compute unary expreesion, input=-4397, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=4223","layer":2},{"info":"number node, value=1152","layer":4},{"info":"number node, value=4662","layer":4},{"info":"compute binary expreesion, left_input=1152, right_input=4662, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4662","layer":3},{"info":"number node, value=1386","layer":4},{"info":"compute unary expreesion, input=1386, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-4158","layer":3},{"info":"compute binary expreesion, left_input=4662, right_input=-4158, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-4158","layer":2},{"info":"compute binary expreesion, left_input=4223, right_input=-4158, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=12317","layer":1},{"info":"number node, value=1147","layer":4},{"info":"number node, value=2494","layer":4},{"info":"compute binary expreesion, left_input=1147, right_input=2494, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=1574","layer":4},{"info":"number node, value=6864","layer":4},{"info":"compute binary expreesion, left_input=1574, right_input=6864, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=22381","layer":3},{"info":"number node, value=4065","layer":4},{"info":"number node, value=2704","layer":4},{"info":"compute binary expreesion, left_input=4065, right_input=2704, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6890","layer":3},{"info":"compute binary expreesion, left_input=22381, right_input=-6890, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = 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=12317, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⨞⊢(↔⋰*⋻3566))⋳⪒(⋰*⋻958⨎⋰*⋻3559⨎(⨵≀≌⋰*⋻1050))⋷((⋰*⋻953≭⋰*⋻1968⪠⩆⊳)⫡⨏(⋰*⋻1201⫡⨏⋰*⋻5180)⨐⩸⫘⋰*⋻3066⩚⊴⇥⋰*⋻2039)=NaN","reverse_text":"NaN=(⨞⊢(↔⋰*⋻3566))⋳⪒(⋰*⋻958⨎⋰*⋻3559⨎(⨵≀≌⋰*⋻1050))⋷((⋰*⋻953≭⋰*⋻1968⪠⩆⊳)⫡⨏(⋰*⋻1201⫡⨏⋰*⋻5180)⨐⩸⫘⋰*⋻3066⩚⊴⇥⋰*⋻2039)","cot":[{"info":"↔⋰*⋻3566=⋰*⋻-3338","layer":3},{"info":"⨞⊢⋰*⋻-3338=⋰*⋻319A","layer":2},{"info":"⋰*⋻958⨎⋰*⋻3559=⋰*⋻3559","layer":3},{"info":"⨵≀≌⋰*⋻1050=⋰*⋻-3140","layer":3},{"info":"⋰*⋻3559⨎⋰*⋻-3140=⋰*⋻-3140","layer":2},{"info":"⋰*⋻319A⋳⪒⋰*⋻-3140=⋰*⋻9288","layer":1},{"info":"⋰*⋻953≭⋰*⋻1968=NaN","layer":3},{"info":"NaN⪠⩆⊳=NaN","layer":2},{"info":"⋰*⋻1201⫡⨏⋰*⋻5180=⋰*⋻158A7","layer":3},{"info":"⋰*⋻3066⩚⊴⇥⋰*⋻2039=⋰*⋻-51A4","layer":3},{"info":"⋰*⋻158A7⨐⩸⫘⋰*⋻-51A4=NaN","layer":2},{"info":"NaN⫡⨏NaN=NaN","layer":1},{"info":"⋰*⋻9288⋷NaN=NaN","layer":0}]}
{"id":767,"expression_no_base_symbol":"(($2701$⨸⪁$1129$)⪛($1242$⨎$3982$)⋳⪒(⫓⪴($6829$⋓$1050$)))⪘⫢(⨈⫕($3748$⊴$2234$⊭∹↮))","expression":"((⋰*⋻2036⨸⪁⋰*⋻937)⪛(⋰*⋻A2A⨎⋰*⋻2AA0)⋳⪒(⫓⪴(⋰*⋻5149⋓⋰*⋻875)))⪘⫢(⨈⫕(⋰*⋻28A8⊴⋰*⋻1751⊭∹↮))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3712,"operation_count":10,"complexity_ratio":371.2,"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":2701,"base":11},"right_expr":{"type":"numeric_atoms","value":1129,"base":11}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1242,"base":11},"right_expr":{"type":"numeric_atoms","value":3982,"base":11}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":6829,"base":11},"right_expr":{"type":"numeric_atoms","value":1050,"base":11}}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3748,"base":11},"right_expr":{"type":"numeric_atoms","value":2234,"base":11}}}}},"used_operators":["oacrs7FA3X","12rbrZMWeM","uFcxV4UQCh","g55IO6H4Gj","rJVOvQCfKK","eLxqMNBOBk","T2fj7uvVaJ","megm06wKyl","xNBdhnnwKq","Nsiff2A1zJ"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9HNa5Wba9A","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","14qkJME0vr"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=2701","layer":4},{"info":"number node, value=1129","layer":4},{"info":"compute binary expreesion, left_input=2701, right_input=1129, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=7660","layer":3},{"info":"number node, value=1242","layer":4},{"info":"number node, value=3982","layer":4},{"info":"compute binary expreesion, left_input=1242, right_input=3982, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3982","layer":3},{"info":"compute binary expreesion, left_input=7660, right_input=3982, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3678","layer":2},{"info":"number node, value=6829","layer":4},{"info":"number node, value=1050","layer":4},{"info":"compute binary expreesion, left_input=6829, right_input=1050, op_id = T2fj7uvVaJ binary_op_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 = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=3678, right_input=0, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=7069","layer":1},{"info":"number node, value=3748","layer":4},{"info":"number node, value=2234","layer":4},{"info":"compute binary expreesion, left_input=3748, right_input=2234, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=nan","layer":2},{"info":"compute 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=7069, 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=0","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻2036⨸⪁⋰*⋻937)⪛(⋰*⋻A2A⨎⋰*⋻2AA0)⋳⪒(⫓⪴(⋰*⋻5149⋓⋰*⋻875)))⪘⫢(⨈⫕(⋰*⋻28A8⊴⋰*⋻1751⊭∹↮))=⋰*⋻0","reverse_text":"⋰*⋻0=((⋰*⋻2036⨸⪁⋰*⋻937)⪛(⋰*⋻A2A⨎⋰*⋻2AA0)⋳⪒(⫓⪴(⋰*⋻5149⋓⋰*⋻875)))⪘⫢(⨈⫕(⋰*⋻28A8⊴⋰*⋻1751⊭∹↮))","cot":[{"info":"⋰*⋻2036⨸⪁⋰*⋻937=⋰*⋻5834","layer":3},{"info":"⋰*⋻A2A⨎⋰*⋻2AA0=⋰*⋻2AA0","layer":3},{"info":"⋰*⋻5834⪛⋰*⋻2AA0=⋰*⋻2844","layer":2},{"info":"⋰*⋻5149⋓⋰*⋻875=⋰*⋻0","layer":3},{"info":"⫓⪴⋰*⋻0=⋰*⋻0","layer":2},{"info":"⋰*⋻2844⋳⪒⋰*⋻0=⋰*⋻5347","layer":1},{"info":"⋰*⋻28A8⊴⋰*⋻1751=NaN","layer":3},{"info":"NaN⊭∹↮=NaN","layer":2},{"info":"⨈⫕NaN=⋰*⋻-1A","layer":1},{"info":"⋰*⋻5347⪘⫢⋰*⋻-1A=⋰*⋻0","layer":0}]}
{"id":768,"expression_no_base_symbol":"(((⊙↵-$1256$)⊭↱($1079$⪨≂$3006$))⫸⊐$5124$⪘⫢$4971$⨽($7053$⩨$5312$))≹⇙⪍((≉($2211$⪨≂$2168$))⩷∴(↽≂($2088$↛⩡⫤)))","expression":"(((⊙↵-⋰*⋻A42)⊭↱(⋰*⋻8A1⪨≂⋰*⋻2293))⫸⊐⋰*⋻3939⪘⫢⋰*⋻380A⨽(⋰*⋻5332⩨⋰*⋻3A9A))≹⇙⪍((≉(⋰*⋻1730⪨≂⋰*⋻16A1))⩷∴(↽≂(⋰*⋻1629↛⩡⫤)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":17884,"operation_count":13,"complexity_ratio":1375.6923076923076,"tree":{"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":11}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1079,"base":11},"right_expr":{"type":"numeric_atoms","value":3006,"base":11}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":5124,"base":11},"right_expr":{"type":"numeric_atoms","value":4971,"base":11}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":7053,"base":11},"right_expr":{"type":"numeric_atoms","value":5312,"base":11}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2211,"base":11},"right_expr":{"type":"numeric_atoms","value":2168,"base":11}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":2088,"base":11}}}}},"used_operators":["AHs5Up7iyr","mqXw5SEYmG","COABgblf1C","oWn0xqSxBt","sdazOOVcIp","8HhzD0ZcuI","oacrs7FA3X","2DlMacCsIx","9FxExcQeMw","e1ybzncUwg","u6S6b8DprG","FU0Cs4j7VP"],"dependent_operators":["dWAJyo7jo9","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1256","layer":4},{"info":"compute unary expreesion, input=1256, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=1079","layer":4},{"info":"number node, value=3006","layer":4},{"info":"compute binary expreesion, left_input=1079, right_input=3006, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-3752","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=-3752, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-7497","layer":2},{"info":"number node, value=5124","layer":4},{"info":"number node, value=4971","layer":4},{"info":"compute binary expreesion, left_input=5124, right_input=4971, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=10124","layer":3},{"info":"number node, value=7053","layer":4},{"info":"number node, value=5312","layer":4},{"info":"compute binary expreesion, left_input=7053, right_input=5312, 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=10124, right_input=0, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-307484814","layer":2},{"info":"compute binary expreesion, left_input=-7497, right_input=-307484814, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":1},{"info":"number node, value=2211","layer":4},{"info":"number node, value=2168","layer":4},{"info":"compute binary expreesion, left_input=2211, right_input=2168, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=188","layer":3},{"info":"compute unary expreesion, input=188, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=719","layer":2},{"info":"number node, value=2088","layer":4},{"info":"compute unary expreesion, input=2088, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-311377","layer":3},{"info":"compute unary expreesion, input=-311377, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=622754","layer":2},{"info":"compute binary expreesion, left_input=719, right_input=622754, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-1244102","layer":1},{"info":"compute binary expreesion, left_input=968, right_input=-1244102, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((⊙↵-⋰*⋻A42)⊭↱(⋰*⋻8A1⪨≂⋰*⋻2293))⫸⊐⋰*⋻3939⪘⫢⋰*⋻380A⨽(⋰*⋻5332⩨⋰*⋻3A9A))≹⇙⪍((≉(⋰*⋻1730⪨≂⋰*⋻16A1))⩷∴(↽≂(⋰*⋻1629↛⩡⫤)))=NaN","reverse_text":"NaN=(((⊙↵-⋰*⋻A42)⊭↱(⋰*⋻8A1⪨≂⋰*⋻2293))⫸⊐⋰*⋻3939⪘⫢⋰*⋻380A⨽(⋰*⋻5332⩨⋰*⋻3A9A))≹⇙⪍((≉(⋰*⋻1730⪨≂⋰*⋻16A1))⩷∴(↽≂(⋰*⋻1629↛⩡⫤)))","cot":[{"info":"⊙↵-⋰*⋻A42=⋰*⋻-1","layer":3},{"info":"⋰*⋻8A1⪨≂⋰*⋻2293=⋰*⋻-2901","layer":3},{"info":"⋰*⋻-1⊭↱⋰*⋻-2901=⋰*⋻-56A6","layer":2},{"info":"⋰*⋻3939⪘⫢⋰*⋻380A=⋰*⋻7674","layer":3},{"info":"⋰*⋻5332⩨⋰*⋻3A9A=⋰*⋻0","layer":3},{"info":"⋰*⋻7674⨽⋰*⋻0=⋰*⋻-14862698A","layer":2},{"info":"⋰*⋻-56A6⫸⊐⋰*⋻-14862698A=⋰*⋻800","layer":1},{"info":"⋰*⋻1730⪨≂⋰*⋻16A1=⋰*⋻161","layer":3},{"info":"≉⋰*⋻161=⋰*⋻5A4","layer":2},{"info":"⋰*⋻1629↛⩡⫤=⋰*⋻-1A2A40","layer":3},{"info":"↽≂⋰*⋻-1A2A40=⋰*⋻395980","layer":2},{"info":"⋰*⋻5A4⩷∴⋰*⋻395980=⋰*⋻-77A792","layer":1},{"info":"⋰*⋻800≹⇙⪍⋰*⋻-77A792=NaN","layer":0}]}
{"id":769,"expression_no_base_symbol":"(⨞⊢($1487$↺$7232$)∑⇟⊟($2374$⫸⊐$5383$))⨳⩥⨓(((⊥$2730$)∲⫓$2874$≭$2395$)⨸⪁($4478$⨽$1423$)⋥≓≎$7061$⪛$1244$)","expression":"(⨞⊢(⋰*⋻1132↺⋰*⋻5485)∑⇟⊟(⋰*⋻1869⫸⊐⋰*⋻4054))⨳⩥⨓(((⊥⋰*⋻2062)∲⫓⋰*⋻2183≭⋰*⋻1888)⨸⪁(⋰*⋻3401⨽⋰*⋻1084)⋥≓≎⋰*⋻533A⪛⋰*⋻A31)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4536,"operation_count":12,"complexity_ratio":378.0,"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":1487,"base":11},"right_expr":{"type":"numeric_atoms","value":7232,"base":11}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2374,"base":11},"right_expr":{"type":"numeric_atoms","value":5383,"base":11}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":2730,"base":11}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2874,"base":11},"right_expr":{"type":"numeric_atoms","value":2395,"base":11}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4478,"base":11},"right_expr":{"type":"numeric_atoms","value":1423,"base":11}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":7061,"base":11},"right_expr":{"type":"numeric_atoms","value":1244,"base":11}}}}},"used_operators":["nCS4ZIUYfx","xUOZtlo3hN","U7g4x0WXJJ","7j4O788W3g","mqXw5SEYmG","g55IO6H4Gj","i8ToyICDmI","Q3PJZHRvZv","rxpJgHHUmx","Qy55tPpLXF","8HhzD0ZcuI","uFcxV4UQCh"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1487","layer":4},{"info":"number node, value=7232","layer":4},{"info":"compute binary expreesion, left_input=1487, right_input=7232, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=7232","layer":3},{"info":"number node, value=2374","layer":4},{"info":"number node, value=5383","layer":4},{"info":"compute binary expreesion, left_input=2374, right_input=5383, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=21407","layer":3},{"info":"compute binary expreesion, left_input=7232, right_input=21407, 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 = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":1},{"info":"number node, value=2730","layer":4},{"info":"compute unary expreesion, input=2730, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=2874","layer":4},{"info":"number node, value=2395","layer":4},{"info":"compute binary expreesion, left_input=2874, right_input=2395, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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 = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"number node, value=4478","layer":4},{"info":"number node, value=1423","layer":4},{"info":"compute binary expreesion, left_input=4478, right_input=1423, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-60160407","layer":3},{"info":"number node, value=7061","layer":4},{"info":"number node, value=1244","layer":4},{"info":"compute binary expreesion, left_input=7061, right_input=1244, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=841","layer":3},{"info":"compute binary expreesion, left_input=-60160407, right_input=841, 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 = 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 = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⨞⊢(⋰*⋻1132↺⋰*⋻5485)∑⇟⊟(⋰*⋻1869⫸⊐⋰*⋻4054))⨳⩥⨓(((⊥⋰*⋻2062)∲⫓⋰*⋻2183≭⋰*⋻1888)⨸⪁(⋰*⋻3401⨽⋰*⋻1084)⋥≓≎⋰*⋻533A⪛⋰*⋻A31)=NaN","reverse_text":"NaN=(⨞⊢(⋰*⋻1132↺⋰*⋻5485)∑⇟⊟(⋰*⋻1869⫸⊐⋰*⋻4054))⨳⩥⨓(((⊥⋰*⋻2062)∲⫓⋰*⋻2183≭⋰*⋻1888)⨸⪁(⋰*⋻3401⨽⋰*⋻1084)⋥≓≎⋰*⋻533A⪛⋰*⋻A31)","cot":[{"info":"⋰*⋻1132↺⋰*⋻5485=⋰*⋻5485","layer":3},{"info":"⋰*⋻1869⫸⊐⋰*⋻4054=⋰*⋻150A1","layer":3},{"info":"⋰*⋻5485∑⇟⊟⋰*⋻150A1=NaN","layer":2},{"info":"⨞⊢NaN=NaN","layer":1},{"info":"⊥⋰*⋻2062=NaN","layer":3},{"info":"⋰*⋻2183≭⋰*⋻1888=NaN","layer":3},{"info":"NaN∲⫓NaN=NaN","layer":2},{"info":"⋰*⋻3401⨽⋰*⋻1084=⋰*⋻-30A6044A","layer":3},{"info":"⋰*⋻533A⪛⋰*⋻A31=⋰*⋻6A5","layer":3},{"info":"⋰*⋻-30A6044A⋥≓≎⋰*⋻6A5=⋰*⋻61","layer":2},{"info":"NaN⨸⪁⋰*⋻61=NaN","layer":1},{"info":"NaN⨳⩥⨓NaN=NaN","layer":0}]}
{"id":770,"expression_no_base_symbol":"⫛⫱⨽(($1857$∑⇟⊟$1425$⪨≂$4142$⪮%⊝$2619$)⩨(($7437$⊪)⋫))","expression":"⫛⫱⨽((⋰*⋻1439∑⇟⊟⋰*⋻1086⪨≂⋰*⋻3126⪮%⊝⋰*⋻1A71)⩨((⋰*⋻5651⊪)⋫))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":965,"operation_count":7,"complexity_ratio":137.85714285714286,"tree":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1857,"base":11},"right_expr":{"type":"numeric_atoms","value":1425,"base":11}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4142,"base":11},"right_expr":{"type":"numeric_atoms","value":2619,"base":11}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":7437,"base":11}}}}},"used_operators":["DlLNRPXxWL","2DlMacCsIx","sdazOOVcIp","U7g4x0WXJJ","IWmyXbctLI","JL8yIekQnl","zVYPLywUTj"],"dependent_operators":["rGHVDoGpnC","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","tmPS8pqC7x","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=1857","layer":4},{"info":"number node, value=1425","layer":4},{"info":"compute binary expreesion, left_input=1857, right_input=1425, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=4142","layer":4},{"info":"number node, value=2619","layer":4},{"info":"compute binary expreesion, left_input=4142, right_input=2619, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=8600","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8600, op_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=7437","layer":4},{"info":"compute unary expreesion, input=7437, 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 = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⫛⫱⨽((⋰*⋻1439∑⇟⊟⋰*⋻1086⪨≂⋰*⋻3126⪮%⊝⋰*⋻1A71)⩨((⋰*⋻5651⊪)⋫))=NaN","reverse_text":"NaN=⫛⫱⨽((⋰*⋻1439∑⇟⊟⋰*⋻1086⪨≂⋰*⋻3126⪮%⊝⋰*⋻1A71)⩨((⋰*⋻5651⊪)⋫))","cot":[{"info":"⋰*⋻1439∑⇟⊟⋰*⋻1086=NaN","layer":3},{"info":"⋰*⋻3126⪮%⊝⋰*⋻1A71=⋰*⋻6509","layer":3},{"info":"NaN⪨≂⋰*⋻6509=NaN","layer":2},{"info":"⋰*⋻5651⊪=⋰*⋻0","layer":3},{"info":"⋰*⋻0⋫=⋰*⋻0","layer":2},{"info":"NaN⩨⋰*⋻0=NaN","layer":1},{"info":"⫛⫱⨽NaN=NaN","layer":0}]}
{"id":771,"expression_no_base_symbol":"((⊥($4765$∀⇚≩$2594$))%(⫓⪴$1256$)∑⇟⊟$3775$⪮%⊝$6007$)⨎($1101$⫥∨⫟$6732$)⋓($4467$⨎$3308$)≧⫂∧((⇁⨣⪵$2206$)⩚⊴⇥($2849$+$2315$))","expression":"((⊥(⋰*⋻3642∀⇚≩⋰*⋻1A49))%(⫓⪴⋰*⋻A42)∑⇟⊟⋰*⋻2922⪮%⊝⋰*⋻4571)⨎(⋰*⋻911⫥∨⫟⋰*⋻5070)⋓(⋰*⋻33A1⨎⋰*⋻2538)≧⫂∧((⇁⨣⪵⋰*⋻1726)⩚⊴⇥(⋰*⋻2160+⋰*⋻1815))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":34798,"operation_count":14,"complexity_ratio":2485.5714285714284,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4765,"base":11},"right_expr":{"type":"numeric_atoms","value":2594,"base":11}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1256,"base":11}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3775,"base":11},"right_expr":{"type":"numeric_atoms","value":6007,"base":11}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1101,"base":11},"right_expr":{"type":"numeric_atoms","value":6732,"base":11}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4467,"base":11},"right_expr":{"type":"numeric_atoms","value":3308,"base":11}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2206,"base":11}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2849,"base":11},"right_expr":{"type":"numeric_atoms","value":2315,"base":11}}}}},"used_operators":["rJVOvQCfKK","k8jYdgA6NY","Q3PJZHRvZv","LRNGc0VcxI","U7g4x0WXJJ","eLxqMNBOBk","IWmyXbctLI","Ph9nP6C5qx","T2fj7uvVaJ","KYD54nUTWz","NTOWxs364D","inkyxCbjAn","W4YGzv6Whe"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","fu6greOZ01","X99M06cbEe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9HNa5Wba9A","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4765","layer":4},{"info":"number node, value=2594","layer":4},{"info":"compute binary expreesion, left_input=4765, right_input=2594, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1256","layer":4},{"info":"compute unary expreesion, input=1256, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1577536","layer":3},{"info":"number node, value=3775","layer":4},{"info":"number node, value=6007","layer":4},{"info":"compute binary expreesion, left_input=3775, right_input=6007, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=7866","layer":3},{"info":"compute binary expreesion, left_input=1577536, right_input=7866, 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=1101","layer":4},{"info":"number node, value=6732","layer":4},{"info":"compute binary expreesion, left_input=1101, right_input=6732, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=4467","layer":4},{"info":"number node, value=3308","layer":4},{"info":"compute binary expreesion, left_input=4467, right_input=3308, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3308","layer":3},{"info":"compute binary expreesion, left_input=nan, 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":2},{"info":"number node, value=2206","layer":4},{"info":"compute unary expreesion, input=2206, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=2849","layer":4},{"info":"number node, value=2315","layer":4},{"info":"compute binary expreesion, left_input=2849, right_input=2315, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5164","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5164, 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 = 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 = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⊥(⋰*⋻3642∀⇚≩⋰*⋻1A49))%(⫓⪴⋰*⋻A42)∑⇟⊟⋰*⋻2922⪮%⊝⋰*⋻4571)⨎(⋰*⋻911⫥∨⫟⋰*⋻5070)⋓(⋰*⋻33A1⨎⋰*⋻2538)≧⫂∧((⇁⨣⪵⋰*⋻1726)⩚⊴⇥(⋰*⋻2160+⋰*⋻1815))=NaN","reverse_text":"NaN=((⊥(⋰*⋻3642∀⇚≩⋰*⋻1A49))%(⫓⪴⋰*⋻A42)∑⇟⊟⋰*⋻2922⪮%⊝⋰*⋻4571)⨎(⋰*⋻911⫥∨⫟⋰*⋻5070)⋓(⋰*⋻33A1⨎⋰*⋻2538)≧⫂∧((⇁⨣⪵⋰*⋻1726)⩚⊴⇥(⋰*⋻2160+⋰*⋻1815))","cot":[{"info":"⋰*⋻3642∀⇚≩⋰*⋻1A49=NaN","layer":3},{"info":"⊥NaN=NaN","layer":2},{"info":"⫓⪴⋰*⋻A42=⋰*⋻988254","layer":3},{"info":"⋰*⋻2922⪮%⊝⋰*⋻4571=⋰*⋻5A01","layer":3},{"info":"⋰*⋻988254∑⇟⊟⋰*⋻5A01=NaN","layer":2},{"info":"NaN%NaN=NaN","layer":1},{"info":"⋰*⋻911⫥∨⫟⋰*⋻5070=NaN","layer":3},{"info":"⋰*⋻33A1⨎⋰*⋻2538=⋰*⋻2538","layer":3},{"info":"NaN⋓⋰*⋻2538=⋰*⋻0","layer":2},{"info":"⇁⨣⪵⋰*⋻1726=NaN","layer":3},{"info":"⋰*⋻2160+⋰*⋻1815=⋰*⋻3975","layer":3},{"info":"NaN⩚⊴⇥⋰*⋻3975=NaN","layer":2},{"info":"⋰*⋻0≧⫂∧NaN=NaN","layer":1},{"info":"NaN⨎NaN=NaN","layer":0}]}
{"id":772,"expression_no_base_symbol":"≉(($3134$⪒$8972$)⊭↱($1666$⪨≂$2451$))∀⇚≩(-(↩$3382$))","expression":"≉((⋰*⋻239A⪒⋰*⋻6817)⊭↱(⋰*⋻1285⪨≂⋰*⋻1929))∀⇚≩(-(↩⋰*⋻25A5))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":148999,"operation_count":7,"complexity_ratio":21285.571428571428,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3134,"base":11},"right_expr":{"type":"numeric_atoms","value":8972,"base":11}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1666,"base":11},"right_expr":{"type":"numeric_atoms","value":2451,"base":11}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":3382,"base":11}}}}},"used_operators":["e1ybzncUwg","LRNGc0VcxI","COABgblf1C","f6k1SAg4EE","sdazOOVcIp","t8gj7n24qd","jLgFTUHLKL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3134","layer":4},{"info":"number node, value=8972","layer":4},{"info":"compute binary expreesion, left_input=3134, right_input=8972, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-12106","layer":3},{"info":"number node, value=1666","layer":4},{"info":"number node, value=2451","layer":4},{"info":"compute binary expreesion, left_input=1666, right_input=2451, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-1468","layer":3},{"info":"compute binary expreesion, left_input=-12106, right_input=-1468, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=21281","layer":2},{"info":"number node, value=3382","layer":4},{"info":"compute unary expreesion, input=3382, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-24276","layer":3},{"info":"compute unary expreesion, input=-24276, op_id = t8gj7n24qd, unary_op_definition = 'None', output=24276","layer":2},{"info":"compute binary expreesion, left_input=21281, right_input=24276, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":11,"result_base":11,"text":"≉((⋰*⋻239A⪒⋰*⋻6817)⊭↱(⋰*⋻1285⪨≂⋰*⋻1929))∀⇚≩(-(↩⋰*⋻25A5))=NaN","reverse_text":"NaN=≉((⋰*⋻239A⪒⋰*⋻6817)⊭↱(⋰*⋻1285⪨≂⋰*⋻1929))∀⇚≩(-(↩⋰*⋻25A5))","cot":[{"info":"⋰*⋻239A⪒⋰*⋻6817=⋰*⋻-9106","layer":3},{"info":"⋰*⋻1285⪨≂⋰*⋻1929=⋰*⋻-1115","layer":3},{"info":"⋰*⋻-9106⊭↱⋰*⋻-1115=⋰*⋻14A97","layer":2},{"info":"↩⋰*⋻25A5=⋰*⋻-1726A","layer":3},{"info":"-⋰*⋻-1726A=⋰*⋻1726A","layer":2},{"info":"⋰*⋻14A97∀⇚≩⋰*⋻1726A=NaN","layer":1},{"info":"≉NaN=NaN","layer":0}]}
{"id":773,"expression_no_base_symbol":"($1016$⪢$4110$⨓($3015$≋⫹)⊭↱((⇁⨣⪵$2835$)⨸⪁($2625$%$4544$)))+⇶⊼(($1277$⪨≂$5391$)⊭↱(↩$7384$)%($6679$∲⫓$4174$)↙(⊄⩳↩$3001$))","expression":"(⋰*⋻844⪢⋰*⋻30A7⨓(⋰*⋻22A1≋⫹)⊭↱((⇁⨣⪵⋰*⋻2148)⨸⪁(⋰*⋻1A77%⋰*⋻3461)))+⇶⊼((⋰*⋻A61⪨≂⋰*⋻4061)⊭↱(↩⋰*⋻5603)%(⋰*⋻5022∲⫓⋰*⋻3155)↙(⊄⩳↩⋰*⋻2289))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":10195,"operation_count":15,"complexity_ratio":679.6666666666666,"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":1016,"base":11},"right_expr":{"type":"numeric_atoms","value":4110,"base":11}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":3015,"base":11}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2835,"base":11}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2625,"base":11},"right_expr":{"type":"numeric_atoms","value":4544,"base":11}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1277,"base":11},"right_expr":{"type":"numeric_atoms","value":5391,"base":11}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":7384,"base":11}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":6679,"base":11},"right_expr":{"type":"numeric_atoms","value":4174,"base":11}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":3001,"base":11}}}}},"used_operators":["TpPTUOHfaN","COABgblf1C","3ViojmjbAp","dWAJyo7jo9","N41Kp7NANJ","g55IO6H4Gj","inkyxCbjAn","k8jYdgA6NY","sdazOOVcIp","jLgFTUHLKL","yyfyN0ffXY","i8ToyICDmI","8w2t5hMYqp"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","B5M0gjZbta","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1016","layer":4},{"info":"number node, value=4110","layer":4},{"info":"compute binary expreesion, left_input=1016, right_input=4110, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=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=nan, right_input=-6030, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=6027","layer":2},{"info":"number node, value=2835","layer":4},{"info":"compute unary expreesion, input=2835, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=2625","layer":4},{"info":"number node, value=4544","layer":4},{"info":"compute binary expreesion, left_input=2625, right_input=4544, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2625","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2625, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=6027, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"number node, value=1277","layer":4},{"info":"number node, value=5391","layer":4},{"info":"compute binary expreesion, left_input=1277, right_input=5391, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-8126","layer":3},{"info":"number node, value=7384","layer":4},{"info":"compute unary expreesion, input=7384, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-56292","layer":3},{"info":"compute binary expreesion, left_input=-8126, right_input=-56292, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-96327","layer":2},{"info":"number node, value=6679","layer":4},{"info":"number node, value=4174","layer":4},{"info":"compute binary expreesion, left_input=6679, 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=3001","layer":4},{"info":"compute unary expreesion, input=3001, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-9003","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-9003, 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=-96327, right_input=0, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻844⪢⋰*⋻30A7⨓(⋰*⋻22A1≋⫹)⊭↱((⇁⨣⪵⋰*⋻2148)⨸⪁(⋰*⋻1A77%⋰*⋻3461)))+⇶⊼((⋰*⋻A61⪨≂⋰*⋻4061)⊭↱(↩⋰*⋻5603)%(⋰*⋻5022∲⫓⋰*⋻3155)↙(⊄⩳↩⋰*⋻2289))=NaN","reverse_text":"NaN=(⋰*⋻844⪢⋰*⋻30A7⨓(⋰*⋻22A1≋⫹)⊭↱((⇁⨣⪵⋰*⋻2148)⨸⪁(⋰*⋻1A77%⋰*⋻3461)))+⇶⊼((⋰*⋻A61⪨≂⋰*⋻4061)⊭↱(↩⋰*⋻5603)%(⋰*⋻5022∲⫓⋰*⋻3155)↙(⊄⩳↩⋰*⋻2289))","cot":[{"info":"⋰*⋻844⪢⋰*⋻30A7=NaN","layer":3},{"info":"⋰*⋻22A1≋⫹=⋰*⋻-4592","layer":3},{"info":"NaN⨓⋰*⋻-4592=⋰*⋻458A","layer":2},{"info":"⇁⨣⪵⋰*⋻2148=NaN","layer":3},{"info":"⋰*⋻1A77%⋰*⋻3461=⋰*⋻1A77","layer":3},{"info":"NaN⨸⪁⋰*⋻1A77=NaN","layer":2},{"info":"⋰*⋻458A⊭↱NaN=NaN","layer":1},{"info":"⋰*⋻A61⪨≂⋰*⋻4061=⋰*⋻-6118","layer":3},{"info":"↩⋰*⋻5603=⋰*⋻-39325","layer":3},{"info":"⋰*⋻-6118⊭↱⋰*⋻-39325=⋰*⋻-66410","layer":2},{"info":"⋰*⋻5022∲⫓⋰*⋻3155=⋰*⋻0","layer":3},{"info":"⊄⩳↩⋰*⋻2289=⋰*⋻-6845","layer":3},{"info":"⋰*⋻0↙⋰*⋻-6845=⋰*⋻0","layer":2},{"info":"⋰*⋻-66410%⋰*⋻0=NaN","layer":1},{"info":"NaN+⇶⊼NaN=NaN","layer":0}]}
{"id":774,"expression_no_base_symbol":"($3523$⩷∴$3747$⫸⊐$8084$≹⇙⪍$4581$*($2015$⊠≄⫣)↺$1201$⪮%⊝$1357$)⨎(↯⪼($1004$⊉≛↸$1562$))≧⫂∧(($3806$⪒$2162$)%($4138$↛⩡⫤))","expression":"(⋰*⋻2713⩷∴⋰*⋻28A7⫸⊐⋰*⋻608A≹⇙⪍⋰*⋻3495*(⋰*⋻1572⊠≄⫣)↺⋰*⋻9A2⪮%⊝⋰*⋻1024)⨎(↯⪼(⋰*⋻833⊉≛↸⋰*⋻11A0))≧⫂∧((⋰*⋻2950⪒⋰*⋻1696)%(⋰*⋻3122↛⩡⫤))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":12617,"operation_count":14,"complexity_ratio":901.2142857142857,"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":3523,"base":11},"right_expr":{"type":"numeric_atoms","value":3747,"base":11}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":8084,"base":11},"right_expr":{"type":"numeric_atoms","value":4581,"base":11}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":2015,"base":11}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1201,"base":11},"right_expr":{"type":"numeric_atoms","value":1357,"base":11}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1004,"base":11},"right_expr":{"type":"numeric_atoms","value":1562,"base":11}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3806,"base":11},"right_expr":{"type":"numeric_atoms","value":2162,"base":11}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":4138,"base":11}}}}},"used_operators":["rJVOvQCfKK","9HNa5Wba9A","mqXw5SEYmG","9FxExcQeMw","AHs5Up7iyr","7j4O788W3g","DIvbN7qnHd","IWmyXbctLI","Ph9nP6C5qx","8jW3W4yZS5","DZ8iAZOCBD","k8jYdgA6NY","f6k1SAg4EE","FU0Cs4j7VP"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X"],"result":"⋰*⋻4517","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3523","layer":4},{"info":"number node, value=3747","layer":4},{"info":"compute binary expreesion, left_input=3523, right_input=3747, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-480","layer":3},{"info":"number node, value=8084","layer":4},{"info":"number node, value=4581","layer":4},{"info":"compute binary expreesion, left_input=8084, right_input=4581, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=-480, 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=4","layer":2},{"info":"number node, value=2015","layer":4},{"info":"compute unary expreesion, input=2015, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=1201","layer":4},{"info":"number node, value=1357","layer":4},{"info":"compute binary expreesion, left_input=1201, right_input=1357, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2718","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2718, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2718","layer":2},{"info":"compute binary expreesion, left_input=4, right_input=2718, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=10872","layer":1},{"info":"number node, value=1004","layer":4},{"info":"number node, value=1562","layer":4},{"info":"compute binary expreesion, left_input=1004, right_input=1562, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2008","layer":3},{"info":"compute unary expreesion, input=2008, 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=3806","layer":4},{"info":"number node, value=2162","layer":4},{"info":"compute binary expreesion, left_input=3806, right_input=2162, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5968","layer":3},{"info":"number node, value=4138","layer":4},{"info":"compute unary expreesion, input=4138, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-620927","layer":3},{"info":"compute binary expreesion, left_input=-5968, right_input=-620927, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-5968","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=-5968, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5947","layer":1},{"info":"compute binary expreesion, left_input=10872, right_input=5947, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5947","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻2713⩷∴⋰*⋻28A7⫸⊐⋰*⋻608A≹⇙⪍⋰*⋻3495*(⋰*⋻1572⊠≄⫣)↺⋰*⋻9A2⪮%⊝⋰*⋻1024)⨎(↯⪼(⋰*⋻833⊉≛↸⋰*⋻11A0))≧⫂∧((⋰*⋻2950⪒⋰*⋻1696)%(⋰*⋻3122↛⩡⫤))=⋰*⋻4517","reverse_text":"⋰*⋻4517=(⋰*⋻2713⩷∴⋰*⋻28A7⫸⊐⋰*⋻608A≹⇙⪍⋰*⋻3495*(⋰*⋻1572⊠≄⫣)↺⋰*⋻9A2⪮%⊝⋰*⋻1024)⨎(↯⪼(⋰*⋻833⊉≛↸⋰*⋻11A0))≧⫂∧((⋰*⋻2950⪒⋰*⋻1696)%(⋰*⋻3122↛⩡⫤))","cot":[{"info":"⋰*⋻2713⩷∴⋰*⋻28A7=⋰*⋻-3A7","layer":3},{"info":"⋰*⋻608A≹⇙⪍⋰*⋻3495=NaN","layer":3},{"info":"⋰*⋻-3A7⫸⊐NaN=⋰*⋻4","layer":2},{"info":"⋰*⋻1572⊠≄⫣=⋰*⋻0","layer":3},{"info":"⋰*⋻9A2⪮%⊝⋰*⋻1024=⋰*⋻2051","layer":3},{"info":"⋰*⋻0↺⋰*⋻2051=⋰*⋻2051","layer":2},{"info":"⋰*⋻4*⋰*⋻2051=⋰*⋻8194","layer":1},{"info":"⋰*⋻833⊉≛↸⋰*⋻11A0=⋰*⋻1566","layer":3},{"info":"↯⪼⋰*⋻1566=⋰*⋻-1A","layer":2},{"info":"⋰*⋻2950⪒⋰*⋻1696=⋰*⋻-4536","layer":3},{"info":"⋰*⋻3122↛⩡⫤=⋰*⋻-39456A","layer":3},{"info":"⋰*⋻-4536%⋰*⋻-39456A=⋰*⋻-4536","layer":2},{"info":"⋰*⋻-1A≧⫂∧⋰*⋻-4536=⋰*⋻4517","layer":1},{"info":"⋰*⋻8194⨎⋰*⋻4517=⋰*⋻4517","layer":0}]}
{"id":775,"expression_no_base_symbol":"(↩($6188$∲⫓$5917$))+⇶⊼($1692$⨟⋌⩍$2736$⨵⪆$7475$⨟⋌⩍$3129$)⋥≓≎($1296$⋳⪒$1575$⫸⊐$3247$∑⇟⊟$4457$⊉≛↸(⊥($6043$⨵⪆$4750$)))","expression":"(↩(⋰*⋻4716∲⫓⋰*⋻449A))+⇶⊼(⋰*⋻12A9⨟⋌⩍⋰*⋻2068⨵⪆⋰*⋻5686⨟⋌⩍⋰*⋻2395)⋥≓≎(⋰*⋻A79⋳⪒⋰*⋻1202⫸⊐⋰*⋻2492∑⇟⊟⋰*⋻3392⊉≛↸(⊥(⋰*⋻45A4⨵⪆⋰*⋻3629)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":26620,"operation_count":13,"complexity_ratio":2047.6923076923076,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":6188,"base":11},"right_expr":{"type":"numeric_atoms","value":5917,"base":11}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1692,"base":11},"right_expr":{"type":"numeric_atoms","value":2736,"base":11}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":7475,"base":11},"right_expr":{"type":"numeric_atoms","value":3129,"base":11}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1296,"base":11},"right_expr":{"type":"numeric_atoms","value":1575,"base":11}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3247,"base":11},"right_expr":{"type":"numeric_atoms","value":4457,"base":11}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":6043,"base":11},"right_expr":{"type":"numeric_atoms","value":4750,"base":11}}}}},"used_operators":["Qy55tPpLXF","TpPTUOHfaN","jLgFTUHLKL","i8ToyICDmI","2DQ55sFlQl","rGHVDoGpnC","DZ8iAZOCBD","mqXw5SEYmG","12rbrZMWeM","U7g4x0WXJJ","Q3PJZHRvZv"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","fu6greOZ01"],"result":"⋰*⋻61","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6188","layer":4},{"info":"number node, value=5917","layer":4},{"info":"compute binary expreesion, left_input=6188, right_input=5917, 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=1692","layer":4},{"info":"number node, value=2736","layer":4},{"info":"compute binary expreesion, left_input=1692, right_input=2736, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=7475","layer":4},{"info":"number node, value=3129","layer":4},{"info":"compute binary expreesion, left_input=7475, right_input=3129, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=4844, 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":1},{"info":"number node, value=1296","layer":4},{"info":"number node, value=1575","layer":4},{"info":"compute binary expreesion, left_input=1296, right_input=1575, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=730","layer":3},{"info":"number node, value=3247","layer":4},{"info":"number node, value=4457","layer":4},{"info":"compute binary expreesion, left_input=3247, right_input=4457, 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=730, 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=6043","layer":4},{"info":"number node, value=4750","layer":4},{"info":"compute binary expreesion, left_input=6043, right_input=4750, 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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=-163","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-163, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":11,"result_base":11,"text":"(↩(⋰*⋻4716∲⫓⋰*⋻449A))+⇶⊼(⋰*⋻12A9⨟⋌⩍⋰*⋻2068⨵⪆⋰*⋻5686⨟⋌⩍⋰*⋻2395)⋥≓≎(⋰*⋻A79⋳⪒⋰*⋻1202⫸⊐⋰*⋻2492∑⇟⊟⋰*⋻3392⊉≛↸(⊥(⋰*⋻45A4⨵⪆⋰*⋻3629)))=⋰*⋻61","reverse_text":"⋰*⋻61=(↩(⋰*⋻4716∲⫓⋰*⋻449A))+⇶⊼(⋰*⋻12A9⨟⋌⩍⋰*⋻2068⨵⪆⋰*⋻5686⨟⋌⩍⋰*⋻2395)⋥≓≎(⋰*⋻A79⋳⪒⋰*⋻1202⫸⊐⋰*⋻2492∑⇟⊟⋰*⋻3392⊉≛↸(⊥(⋰*⋻45A4⨵⪆⋰*⋻3629)))","cot":[{"info":"⋰*⋻4716∲⫓⋰*⋻449A=⋰*⋻0","layer":3},{"info":"↩⋰*⋻0=⋰*⋻3704","layer":2},{"info":"⋰*⋻12A9⨟⋌⩍⋰*⋻2068=NaN","layer":3},{"info":"⋰*⋻5686⨟⋌⩍⋰*⋻2395=NaN","layer":3},{"info":"NaN⨵⪆NaN=⋰*⋻136","layer":2},{"info":"⋰*⋻3704+⇶⊼⋰*⋻136=NaN","layer":1},{"info":"⋰*⋻A79⋳⪒⋰*⋻1202=⋰*⋻604","layer":3},{"info":"⋰*⋻2492∑⇟⊟⋰*⋻3392=NaN","layer":3},{"info":"⋰*⋻604⫸⊐NaN=NaN","layer":2},{"info":"⋰*⋻45A4⨵⪆⋰*⋻3629=⋰*⋻136","layer":3},{"info":"⊥⋰*⋻136=⋰*⋻-139","layer":2},{"info":"NaN⊉≛↸⋰*⋻-139=NaN","layer":1},{"info":"NaN⋥≓≎NaN=⋰*⋻61","layer":0}]}
{"id":776,"expression_no_base_symbol":"⊙↵-((≦∁$4940$⨸⪁$8168$)⨸⪁($5440$⇷$6068$⩨(⨵≀≌$1235$)))","expression":"⊙↵-((≦∁⋰*⋻3791⨸⪁⋰*⋻6156)⨸⪁(⋰*⋻40A6⇷⋰*⋻4617⩨(⨵≀≌⋰*⋻A23)))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":128664,"operation_count":7,"complexity_ratio":18380.571428571428,"tree":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4940,"base":11},"right_expr":{"type":"numeric_atoms","value":8168,"base":11}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":5440,"base":11},"right_expr":{"type":"numeric_atoms","value":6068,"base":11}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1235,"base":11}}}}},"used_operators":["oWn0xqSxBt","g55IO6H4Gj","9ICcGScMcE","2DlMacCsIx","mp7IySMOzn","srAu1WTS94"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"⋰*⋻-1","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4940","layer":4},{"info":"number node, value=8168","layer":4},{"info":"compute binary expreesion, left_input=4940, right_input=8168, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=26216","layer":3},{"info":"compute unary expreesion, input=26216, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=26216","layer":2},{"info":"number node, value=5440","layer":4},{"info":"number node, value=6068","layer":4},{"info":"compute binary expreesion, left_input=5440, right_input=6068, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=12136","layer":3},{"info":"number node, value=1235","layer":4},{"info":"compute unary expreesion, input=1235, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3705","layer":3},{"info":"compute binary expreesion, left_input=12136, right_input=-3705, 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=26216, right_input=3, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=52438","layer":1},{"info":"compute unary expreesion, input=52438, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":0}],"base":11,"result_base":11,"text":"⊙↵-((≦∁⋰*⋻3791⨸⪁⋰*⋻6156)⨸⪁(⋰*⋻40A6⇷⋰*⋻4617⩨(⨵≀≌⋰*⋻A23)))=⋰*⋻-1","reverse_text":"⋰*⋻-1=⊙↵-((≦∁⋰*⋻3791⨸⪁⋰*⋻6156)⨸⪁(⋰*⋻40A6⇷⋰*⋻4617⩨(⨵≀≌⋰*⋻A23)))","cot":[{"info":"⋰*⋻3791⨸⪁⋰*⋻6156=⋰*⋻18773","layer":3},{"info":"≦∁⋰*⋻18773=⋰*⋻18773","layer":2},{"info":"⋰*⋻40A6⇷⋰*⋻4617=⋰*⋻9133","layer":3},{"info":"⨵≀≌⋰*⋻A23=⋰*⋻-2869","layer":3},{"info":"⋰*⋻9133⩨⋰*⋻-2869=⋰*⋻3","layer":2},{"info":"⋰*⋻18773⨸⪁⋰*⋻3=⋰*⋻36441","layer":1},{"info":"⊙↵-⋰*⋻36441=⋰*⋻-1","layer":0}]}
{"id":777,"expression_no_base_symbol":"(∂(($2287$⋷$3307$)⨓$1592$⇷$1639$))↺(($1182$⪮%⊝$2113$%$2748$⨪↰⇹$2071$)⫸⊐($8468$⋥≓≎$5206$)⪛($4239$⨵⪆$6782$))","expression":"(∂((⋰*⋻179A⋷⋰*⋻2537)⨓⋰*⋻1218⇷⋰*⋻1260))↺((⋰*⋻985⪮%⊝⋰*⋻1651%⋰*⋻2079⨪↰⇹⋰*⋻1613)⫸⊐(⋰*⋻63A9⋥≓≎⋰*⋻3A03)⪛(⋰*⋻3204⨵⪆⋰*⋻5106))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":28802,"operation_count":12,"complexity_ratio":2400.1666666666665,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2287,"base":11},"right_expr":{"type":"numeric_atoms","value":3307,"base":11}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1592,"base":11},"right_expr":{"type":"numeric_atoms","value":1639,"base":11}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1182,"base":11},"right_expr":{"type":"numeric_atoms","value":2113,"base":11}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2748,"base":11},"right_expr":{"type":"numeric_atoms","value":2071,"base":11}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":8468,"base":11},"right_expr":{"type":"numeric_atoms","value":5206,"base":11}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":4239,"base":11},"right_expr":{"type":"numeric_atoms","value":6782,"base":11}}}}},"used_operators":["7j4O788W3g","Uaa54Peajs","3ViojmjbAp","23Mk6UjR3U","mp7IySMOzn","mqXw5SEYmG","k8jYdgA6NY","IWmyXbctLI","tmPS8pqC7x","uFcxV4UQCh","Qy55tPpLXF","2DQ55sFlQl"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rJVOvQCfKK","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⋰*⋻94","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2287","layer":4},{"info":"number node, value=3307","layer":4},{"info":"compute binary expreesion, left_input=2287, right_input=3307, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=4327","layer":3},{"info":"number node, value=1592","layer":4},{"info":"number node, value=1639","layer":4},{"info":"compute binary expreesion, left_input=1592, right_input=1639, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3278","layer":3},{"info":"compute binary expreesion, left_input=4327, right_input=3278, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3281","layer":2},{"info":"compute unary expreesion, input=-3281, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=3017","layer":1},{"info":"number node, value=1182","layer":4},{"info":"number node, value=2113","layer":4},{"info":"compute binary expreesion, left_input=1182, right_input=2113, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2680","layer":3},{"info":"number node, value=2748","layer":4},{"info":"number node, value=2071","layer":4},{"info":"compute binary expreesion, left_input=2748, right_input=2071, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2748","layer":3},{"info":"compute binary expreesion, left_input=2680, right_input=2748, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2680","layer":2},{"info":"number node, value=8468","layer":4},{"info":"number node, value=5206","layer":4},{"info":"compute binary expreesion, left_input=8468, right_input=5206, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1977","layer":3},{"info":"number node, value=4239","layer":4},{"info":"number node, value=6782","layer":4},{"info":"compute binary expreesion, left_input=4239, right_input=6782, 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=1977, right_input=160, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=57","layer":2},{"info":"compute binary expreesion, left_input=2680, right_input=57, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=103","layer":1},{"info":"compute binary expreesion, left_input=3017, right_input=103, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=103","layer":0}],"base":11,"result_base":11,"text":"(∂((⋰*⋻179A⋷⋰*⋻2537)⨓⋰*⋻1218⇷⋰*⋻1260))↺((⋰*⋻985⪮%⊝⋰*⋻1651%⋰*⋻2079⨪↰⇹⋰*⋻1613)⫸⊐(⋰*⋻63A9⋥≓≎⋰*⋻3A03)⪛(⋰*⋻3204⨵⪆⋰*⋻5106))=⋰*⋻94","reverse_text":"⋰*⋻94=(∂((⋰*⋻179A⋷⋰*⋻2537)⨓⋰*⋻1218⇷⋰*⋻1260))↺((⋰*⋻985⪮%⊝⋰*⋻1651%⋰*⋻2079⨪↰⇹⋰*⋻1613)⫸⊐(⋰*⋻63A9⋥≓≎⋰*⋻3A03)⪛(⋰*⋻3204⨵⪆⋰*⋻5106))","cot":[{"info":"⋰*⋻179A⋷⋰*⋻2537=⋰*⋻3284","layer":3},{"info":"⋰*⋻1218⇷⋰*⋻1260=⋰*⋻2510","layer":3},{"info":"⋰*⋻3284⨓⋰*⋻2510=⋰*⋻-2513","layer":2},{"info":"∂⋰*⋻-2513=⋰*⋻22A3","layer":1},{"info":"⋰*⋻985⪮%⊝⋰*⋻1651=⋰*⋻2017","layer":3},{"info":"⋰*⋻2079⨪↰⇹⋰*⋻1613=⋰*⋻2079","layer":3},{"info":"⋰*⋻2017%⋰*⋻2079=⋰*⋻2017","layer":2},{"info":"⋰*⋻63A9⋥≓≎⋰*⋻3A03=⋰*⋻1538","layer":3},{"info":"⋰*⋻3204⨵⪆⋰*⋻5106=⋰*⋻136","layer":3},{"info":"⋰*⋻1538⪛⋰*⋻136=⋰*⋻52","layer":2},{"info":"⋰*⋻2017⫸⊐⋰*⋻52=⋰*⋻94","layer":1},{"info":"⋰*⋻22A3↺⋰*⋻94=⋰*⋻94","layer":0}]}
{"id":778,"expression_no_base_symbol":"($3193$+⇶⊼$1024$+$5065$⪛$5305$⨵⪆(≤/$6352$)+⇶⊼($1028$⨸⪁$1136$))⨐⩸⫘(($1929$⊪)↙($1221$⇼⇔∾$2304$))∑⇟⊟(($1021$⫌⩹⨱)≫≃)","expression":"(⋰*⋻2443+⇶⊼⋰*⋻851+⋰*⋻3895⪛⋰*⋻3A93⨵⪆(≤/⋰*⋻4855)+⇶⊼(⋰*⋻855⨸⪁⋰*⋻943))⨐⩸⫘((⋰*⋻14A4⊪)↙(⋰*⋻A10⇼⇔∾⋰*⋻1805))∑⇟⊟((⋰*⋻849⫌⩹⨱)≫≃)","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":"binary","operator":"+","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3193,"base":11},"right_expr":{"type":"numeric_atoms","value":1024,"base":11}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":5065,"base":11},"right_expr":{"type":"numeric_atoms","value":5305,"base":11}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":6352,"base":11}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1028,"base":11},"right_expr":{"type":"numeric_atoms","value":1136,"base":11}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":1929,"base":11}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1221,"base":11},"right_expr":{"type":"numeric_atoms","value":2304,"base":11}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1021,"base":11}}}}},"used_operators":["fu6greOZ01","2DQ55sFlQl","W4YGzv6Whe","TpPTUOHfaN","uFcxV4UQCh","eLAdDNolq6","g55IO6H4Gj","U7g4x0WXJJ","yyfyN0ffXY","zVYPLywUTj","tifHPKVTfV","X99M06cbEe","EBcxylXtPf"],"dependent_operators":["3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","tmPS8pqC7x","DpFCA1CohY","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3193","layer":4},{"info":"number node, value=1024","layer":4},{"info":"compute binary expreesion, left_input=3193, right_input=1024, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=5065","layer":4},{"info":"number node, value=5305","layer":4},{"info":"compute binary expreesion, left_input=5065, right_input=5305, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=5065","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5065, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=6352","layer":4},{"info":"compute unary expreesion, input=6352, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-5868","layer":3},{"info":"number node, value=1028","layer":4},{"info":"number node, value=1136","layer":4},{"info":"compute binary expreesion, left_input=1028, right_input=1136, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=4328","layer":3},{"info":"compute binary expreesion, left_input=-5868, right_input=4328, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=1929","layer":4},{"info":"compute unary expreesion, input=1929, 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=1221","layer":4},{"info":"number node, value=2304","layer":4},{"info":"compute binary expreesion, left_input=1221, right_input=2304, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1083","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1083, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":2},{"info":"number node, value=1021","layer":4},{"info":"compute unary expreesion, input=1021, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=3443","layer":3},{"info":"compute unary expreesion, input=3443, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=8287","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=8287, 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=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":0}],"base":11,"result_base":11,"text":"(⋰*⋻2443+⇶⊼⋰*⋻851+⋰*⋻3895⪛⋰*⋻3A93⨵⪆(≤/⋰*⋻4855)+⇶⊼(⋰*⋻855⨸⪁⋰*⋻943))⨐⩸⫘((⋰*⋻14A4⊪)↙(⋰*⋻A10⇼⇔∾⋰*⋻1805))∑⇟⊟((⋰*⋻849⫌⩹⨱)≫≃)=NaN","reverse_text":"NaN=(⋰*⋻2443+⇶⊼⋰*⋻851+⋰*⋻3895⪛⋰*⋻3A93⨵⪆(≤/⋰*⋻4855)+⇶⊼(⋰*⋻855⨸⪁⋰*⋻943))⨐⩸⫘((⋰*⋻14A4⊪)↙(⋰*⋻A10⇼⇔∾⋰*⋻1805))∑⇟⊟((⋰*⋻849⫌⩹⨱)≫≃)","cot":[{"info":"⋰*⋻2443+⇶⊼⋰*⋻851=NaN","layer":3},{"info":"⋰*⋻3895⪛⋰*⋻3A93=⋰*⋻3895","layer":3},{"info":"NaN+⋰*⋻3895=NaN","layer":2},{"info":"≤/⋰*⋻4855=⋰*⋻-4455","layer":3},{"info":"⋰*⋻855⨸⪁⋰*⋻943=⋰*⋻3285","layer":3},{"info":"⋰*⋻-4455+⇶⊼⋰*⋻3285=NaN","layer":2},{"info":"NaN⨵⪆NaN=⋰*⋻136","layer":1},{"info":"⋰*⋻14A4⊪=⋰*⋻0","layer":3},{"info":"⋰*⋻A10⇼⇔∾⋰*⋻1805=⋰*⋻8A5","layer":3},{"info":"⋰*⋻0↙⋰*⋻8A5=⋰*⋻0","layer":2},{"info":"⋰*⋻849⫌⩹⨱=⋰*⋻2650","layer":3},{"info":"⋰*⋻2650≫≃=⋰*⋻6254","layer":2},{"info":"⋰*⋻0∑⇟⊟⋰*⋻6254=NaN","layer":1},{"info":"⋰*⋻136⨐⩸⫘NaN=NaN","layer":0}]}
{"id":779,"expression_no_base_symbol":"((⪲⇎$7966$)*($3697$⇼⇔∾$3723$)⫡⨏(∂$5380$)∑⇟⊟($2815$≣⋋))≭((⫛⫱⨽$3093$)↙$5793$⇷$1390$⪨≂($2165$≧⫂∧$5663$⊭∹↮))","expression":"((⪲⇎⋰*⋻5A92)*(⋰*⋻2861⇼⇔∾⋰*⋻2885)⫡⨏(∂⋰*⋻4051)∑⇟⊟(⋰*⋻212A≣⋋))≭((⫛⫱⨽⋰*⋻2362)↙⋰*⋻4397⇷⋰*⋻1054⪨≂(⋰*⋻1699≧⫂∧⋰*⋻4289⊭∹↮))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":83097,"operation_count":14,"complexity_ratio":5935.5,"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":7966,"base":11}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3697,"base":11},"right_expr":{"type":"numeric_atoms","value":3723,"base":11}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":5380,"base":11}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":2815,"base":11}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":3093,"base":11}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":5793,"base":11},"right_expr":{"type":"numeric_atoms","value":1390,"base":11}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2165,"base":11},"right_expr":{"type":"numeric_atoms","value":5663,"base":11}}}}},"used_operators":["rxpJgHHUmx","QMFrweE19q","9HNa5Wba9A","XPYlsWDdGa","tifHPKVTfV","U7g4x0WXJJ","Uaa54Peajs","Tcnh7f0tEr","sdazOOVcIp","yyfyN0ffXY","DlLNRPXxWL","mp7IySMOzn","xNBdhnnwKq","Ph9nP6C5qx"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rGHVDoGpnC","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7966","layer":4},{"info":"compute unary expreesion, input=7966, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=15932","layer":3},{"info":"number node, value=3697","layer":4},{"info":"number node, value=3723","layer":4},{"info":"compute binary expreesion, left_input=3697, right_input=3723, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=26","layer":3},{"info":"compute binary expreesion, left_input=15932, right_input=26, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=414232","layer":2},{"info":"number node, value=5380","layer":4},{"info":"compute unary expreesion, input=5380, 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=2815","layer":4},{"info":"compute unary expreesion, input=2815, 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 = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=414232, 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=3093","layer":4},{"info":"compute unary expreesion, input=3093, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=5793","layer":4},{"info":"number node, value=1390","layer":4},{"info":"compute binary expreesion, left_input=5793, right_input=1390, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2780","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2780, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":2},{"info":"number node, value=2165","layer":4},{"info":"number node, value=5663","layer":4},{"info":"compute binary expreesion, left_input=2165, right_input=5663, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5190","layer":3},{"info":"compute unary expreesion, input=5190, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=10380","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=10380, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-20658","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-20658, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⪲⇎⋰*⋻5A92)*(⋰*⋻2861⇼⇔∾⋰*⋻2885)⫡⨏(∂⋰*⋻4051)∑⇟⊟(⋰*⋻212A≣⋋))≭((⫛⫱⨽⋰*⋻2362)↙⋰*⋻4397⇷⋰*⋻1054⪨≂(⋰*⋻1699≧⫂∧⋰*⋻4289⊭∹↮))=NaN","reverse_text":"NaN=((⪲⇎⋰*⋻5A92)*(⋰*⋻2861⇼⇔∾⋰*⋻2885)⫡⨏(∂⋰*⋻4051)∑⇟⊟(⋰*⋻212A≣⋋))≭((⫛⫱⨽⋰*⋻2362)↙⋰*⋻4397⇷⋰*⋻1054⪨≂(⋰*⋻1699≧⫂∧⋰*⋻4289⊭∹↮))","cot":[{"info":"⪲⇎⋰*⋻5A92=⋰*⋻10A74","layer":3},{"info":"⋰*⋻2861⇼⇔∾⋰*⋻2885=⋰*⋻24","layer":3},{"info":"⋰*⋻10A74*⋰*⋻24=⋰*⋻263245","layer":2},{"info":"∂⋰*⋻4051=NaN","layer":3},{"info":"⋰*⋻212A≣⋋=⋰*⋻0","layer":3},{"info":"NaN∑⇟⊟⋰*⋻0=NaN","layer":2},{"info":"⋰*⋻263245⫡⨏NaN=NaN","layer":1},{"info":"⫛⫱⨽⋰*⋻2362=⋰*⋻0","layer":3},{"info":"⋰*⋻4397⇷⋰*⋻1054=⋰*⋻20A8","layer":3},{"info":"⋰*⋻0↙⋰*⋻20A8=⋰*⋻0","layer":2},{"info":"⋰*⋻1699≧⫂∧⋰*⋻4289=⋰*⋻3999","layer":3},{"info":"⋰*⋻3999⊭∹↮=⋰*⋻7887","layer":2},{"info":"⋰*⋻0⪨≂⋰*⋻7887=⋰*⋻-14580","layer":1},{"info":"NaN≭⋰*⋻-14580=NaN","layer":0}]}
{"id":780,"expression_no_base_symbol":"⩦⩻⨪((≦∁$2378$)⇷$1422$↬$3780$%(↣≠⋷($3992$⇷$3734$)))","expression":"⩦⩻⨪((≦∁⋰*⋻1872)⇷⋰*⋻1083↬⋰*⋻2927%(↣≠⋷(⋰*⋻2AAA⇷⋰*⋻2895)))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":89201,"operation_count":7,"complexity_ratio":12743.0,"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":2378,"base":11}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1422,"base":11},"right_expr":{"type":"numeric_atoms","value":3780,"base":11}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3992,"base":11},"right_expr":{"type":"numeric_atoms","value":3734,"base":11}}}}},"used_operators":["2td37pGCOC","k8jYdgA6NY","mp7IySMOzn","9ICcGScMcE","B5M0gjZbta","Asc51vEJeQ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rGHVDoGpnC","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=2378","layer":4},{"info":"compute unary expreesion, input=2378, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2378","layer":3},{"info":"number node, value=1422","layer":4},{"info":"number node, value=3780","layer":4},{"info":"compute binary expreesion, left_input=1422, right_input=3780, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=2378, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"number node, value=3992","layer":4},{"info":"number node, value=3734","layer":4},{"info":"compute binary expreesion, left_input=3992, right_input=3734, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=7468","layer":3},{"info":"compute unary expreesion, input=7468, 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 = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⩦⩻⨪((≦∁⋰*⋻1872)⇷⋰*⋻1083↬⋰*⋻2927%(↣≠⋷(⋰*⋻2AAA⇷⋰*⋻2895)))=NaN","reverse_text":"NaN=⩦⩻⨪((≦∁⋰*⋻1872)⇷⋰*⋻1083↬⋰*⋻2927%(↣≠⋷(⋰*⋻2AAA⇷⋰*⋻2895)))","cot":[{"info":"≦∁⋰*⋻1872=⋰*⋻1872","layer":3},{"info":"⋰*⋻1083↬⋰*⋻2927=NaN","layer":3},{"info":"⋰*⋻1872⇷NaN=NaN","layer":2},{"info":"⋰*⋻2AAA⇷⋰*⋻2895=⋰*⋻567A","layer":3},{"info":"↣≠⋷⋰*⋻567A=NaN","layer":2},{"info":"NaN%NaN=NaN","layer":1},{"info":"⩦⩻⨪NaN=NaN","layer":0}]}
{"id":781,"expression_no_base_symbol":"(($1958$⊘)⇼⇔∾$4395$⨎$4433$)⨳⩥⨓(↯⪼$2462$)∀⇚≩($3200$⨰$1805$)-(⨈⫕(($1443$-$1389$)*$5994$⪢$1709$))","expression":"((⋰*⋻1520⊘)⇼⇔∾⋰*⋻3336⨎⋰*⋻3370)⨳⩥⨓(↯⪼⋰*⋻1939)∀⇚≩(⋰*⋻244A⨰⋰*⋻13A1)-(⨈⫕((⋰*⋻10A2-⋰*⋻1053)*⋰*⋻455A⪢⋰*⋻1314))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2547,"operation_count":12,"complexity_ratio":212.25,"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":1958,"base":11}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4395,"base":11},"right_expr":{"type":"numeric_atoms","value":4433,"base":11}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2462,"base":11}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3200,"base":11},"right_expr":{"type":"numeric_atoms","value":1805,"base":11}}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1443,"base":11},"right_expr":{"type":"numeric_atoms","value":1389,"base":11}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":5994,"base":11},"right_expr":{"type":"numeric_atoms","value":1709,"base":11}}}}},"used_operators":["rysDP5nf3Z","nCS4ZIUYfx","tifHPKVTfV","gu96TGCTMs","rJVOvQCfKK","LRNGc0VcxI","8jW3W4yZS5","eewbuw0ToL","megm06wKyl","9HNa5Wba9A","dWAJyo7jo9"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","X99M06cbEe","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","k8jYdgA6NY"],"result":"-Inf","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=1958","layer":4},{"info":"compute unary expreesion, input=1958, 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=4395","layer":4},{"info":"number node, value=4433","layer":4},{"info":"compute binary expreesion, left_input=4395, right_input=4433, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4433","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4433, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=4433","layer":2},{"info":"number node, value=2462","layer":4},{"info":"compute unary expreesion, input=2462, 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=3200","layer":4},{"info":"number node, value=1805","layer":4},{"info":"compute binary expreesion, left_input=3200, right_input=1805, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1405","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=1405, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=-inf","layer":2},{"info":"compute binary expreesion, left_input=4433, right_input=-inf, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-inf","layer":1},{"info":"number node, value=1443","layer":4},{"info":"number node, value=1389","layer":4},{"info":"compute binary expreesion, left_input=1443, right_input=1389, op_id = rysDP5nf3Z binary_op_definition= 'None', output=54","layer":3},{"info":"number node, value=5994","layer":4},{"info":"number node, value=1709","layer":4},{"info":"compute binary expreesion, left_input=5994, right_input=1709, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=54, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', 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=-inf, right_input=-21, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-inf","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1520⊘)⇼⇔∾⋰*⋻3336⨎⋰*⋻3370)⨳⩥⨓(↯⪼⋰*⋻1939)∀⇚≩(⋰*⋻244A⨰⋰*⋻13A1)-(⨈⫕((⋰*⋻10A2-⋰*⋻1053)*⋰*⋻455A⪢⋰*⋻1314))=-Inf","reverse_text":"-Inf=((⋰*⋻1520⊘)⇼⇔∾⋰*⋻3336⨎⋰*⋻3370)⨳⩥⨓(↯⪼⋰*⋻1939)∀⇚≩(⋰*⋻244A⨰⋰*⋻13A1)-(⨈⫕((⋰*⋻10A2-⋰*⋻1053)*⋰*⋻455A⪢⋰*⋻1314))","cot":[{"info":"⋰*⋻1520⊘=⋰*⋻0","layer":3},{"info":"⋰*⋻3336⨎⋰*⋻3370=⋰*⋻3370","layer":3},{"info":"⋰*⋻0⇼⇔∾⋰*⋻3370=⋰*⋻3370","layer":2},{"info":"↯⪼⋰*⋻1939=⋰*⋻-1A","layer":3},{"info":"⋰*⋻244A⨰⋰*⋻13A1=⋰*⋻1068","layer":3},{"info":"⋰*⋻-1A∀⇚≩⋰*⋻1068=-Inf","layer":2},{"info":"⋰*⋻3370⨳⩥⨓-Inf=-Inf","layer":1},{"info":"⋰*⋻10A2-⋰*⋻1053=⋰*⋻4A","layer":3},{"info":"⋰*⋻455A⪢⋰*⋻1314=NaN","layer":3},{"info":"⋰*⋻4A*NaN=NaN","layer":2},{"info":"⨈⫕NaN=⋰*⋻-1A","layer":1},{"info":"-Inf-⋰*⋻-1A=-Inf","layer":0}]}
{"id":782,"expression_no_base_symbol":"((⊥($2454$⫩⊇))⩚⊴⇥(⨰⫟⨤$1011$⨟⋌⩍$1356$))⋝⋈⪟($7744$⋓$2963$⨸⪁$4124$⨳⩥⨓$1312$)↬((↣≠⋷$4362$)⩚⊴⇥(∥⊫$1117$))","expression":"((⊥(⋰*⋻1931⫩⊇))⩚⊴⇥(⨰⫟⨤⋰*⋻83A⨟⋌⩍⋰*⋻1023))⋝⋈⪟(⋰*⋻5900⋓⋰*⋻2254⨸⪁⋰*⋻310A⨳⩥⨓⋰*⋻A93)↬((↣≠⋷⋰*⋻3306)⩚⊴⇥(∥⊫⋰*⋻926))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":69,"operation_count":13,"complexity_ratio":5.3076923076923075,"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":2454,"base":11}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1011,"base":11},"right_expr":{"type":"numeric_atoms","value":1356,"base":11}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":7744,"base":11},"right_expr":{"type":"numeric_atoms","value":2963,"base":11}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4124,"base":11},"right_expr":{"type":"numeric_atoms","value":1312,"base":11}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":4362,"base":11}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1117,"base":11}}}}},"used_operators":["2DDjHMKMc0","NTOWxs364D","Q3PJZHRvZv","BjRHVeLaeN","Tw270M8GLb","rGHVDoGpnC","B5M0gjZbta","g55IO6H4Gj","T2fj7uvVaJ","nCS4ZIUYfx","Asc51vEJeQ","P8v4zCKN1o"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","fu6greOZ01","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","Tcnh7f0tEr","rGHVDoGpnC","W4YGzv6Whe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2454","layer":4},{"info":"compute unary expreesion, input=2454, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-2412","layer":3},{"info":"compute unary expreesion, input=-2412, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"number node, value=1011","layer":4},{"info":"number node, value=1356","layer":4},{"info":"compute binary expreesion, left_input=1011, right_input=1356, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 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=7744","layer":4},{"info":"number node, value=2963","layer":4},{"info":"compute binary expreesion, left_input=7744, right_input=2963, op_id = T2fj7uvVaJ binary_op_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=4124","layer":4},{"info":"number node, value=1312","layer":4},{"info":"compute binary expreesion, left_input=4124, right_input=1312, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2812","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-2812, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-5624","layer":2},{"info":"number node, value=4362","layer":4},{"info":"compute unary expreesion, input=4362, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=1117","layer":4},{"info":"compute unary expreesion, input=1117, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=1985","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1985, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-5624, 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 = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⊥(⋰*⋻1931⫩⊇))⩚⊴⇥(⨰⫟⨤⋰*⋻83A⨟⋌⩍⋰*⋻1023))⋝⋈⪟(⋰*⋻5900⋓⋰*⋻2254⨸⪁⋰*⋻310A⨳⩥⨓⋰*⋻A93)↬((↣≠⋷⋰*⋻3306)⩚⊴⇥(∥⊫⋰*⋻926))=NaN","reverse_text":"NaN=((⊥(⋰*⋻1931⫩⊇))⩚⊴⇥(⨰⫟⨤⋰*⋻83A⨟⋌⩍⋰*⋻1023))⋝⋈⪟(⋰*⋻5900⋓⋰*⋻2254⨸⪁⋰*⋻310A⨳⩥⨓⋰*⋻A93)↬((↣≠⋷⋰*⋻3306)⩚⊴⇥(∥⊫⋰*⋻926))","cot":[{"info":"⋰*⋻1931⫩⊇=⋰*⋻-18A3","layer":3},{"info":"⊥⋰*⋻-18A3=NaN","layer":2},{"info":"⋰*⋻83A⨟⋌⩍⋰*⋻1023=NaN","layer":3},{"info":"⨰⫟⨤NaN=NaN","layer":2},{"info":"NaN⩚⊴⇥NaN=NaN","layer":1},{"info":"⋰*⋻5900⋓⋰*⋻2254=⋰*⋻0","layer":3},{"info":"⋰*⋻310A⨳⩥⨓⋰*⋻A93=⋰*⋻-2127","layer":3},{"info":"⋰*⋻0⨸⪁⋰*⋻-2127=⋰*⋻-4253","layer":2},{"info":"↣≠⋷⋰*⋻3306=NaN","layer":3},{"info":"∥⊫⋰*⋻926=⋰*⋻1545","layer":3},{"info":"NaN⩚⊴⇥⋰*⋻1545=NaN","layer":2},{"info":"⋰*⋻-4253↬NaN=NaN","layer":1},{"info":"NaN⋝⋈⪟NaN=NaN","layer":0}]}
{"id":783,"expression_no_base_symbol":"(⊥($2990$↺$3217$))∀⇚≩($1856$⨰$7369$⋳⪒($1942$⫥∨⫟$1852$))⊘","expression":"(⊥(⋰*⋻2279↺⋰*⋻2465))∀⇚≩(⋰*⋻1438⨰⋰*⋻559A⋳⪒(⋰*⋻1506⫥∨⫟⋰*⋻1434))⊘","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":192,"operation_count":7,"complexity_ratio":27.428571428571427,"tree":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2990,"base":11},"right_expr":{"type":"numeric_atoms","value":3217,"base":11}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1856,"base":11},"right_expr":{"type":"numeric_atoms","value":7369,"base":11}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1942,"base":11},"right_expr":{"type":"numeric_atoms","value":1852,"base":11}}}}},"used_operators":["gu96TGCTMs","LRNGc0VcxI","Q3PJZHRvZv","7j4O788W3g","12rbrZMWeM","eewbuw0ToL","KYD54nUTWz"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","X99M06cbEe","fu6greOZ01","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2990","layer":4},{"info":"number node, value=3217","layer":4},{"info":"compute binary expreesion, left_input=2990, right_input=3217, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3217","layer":3},{"info":"compute unary expreesion, input=3217, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"number node, value=1856","layer":4},{"info":"number node, value=7369","layer":4},{"info":"compute binary expreesion, left_input=1856, right_input=7369, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-5503","layer":3},{"info":"number node, value=1942","layer":4},{"info":"number node, value=1852","layer":4},{"info":"compute binary expreesion, left_input=1942, right_input=1852, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-5503, 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 = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = 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":11,"result_base":11,"text":"(⊥(⋰*⋻2279↺⋰*⋻2465))∀⇚≩(⋰*⋻1438⨰⋰*⋻559A⋳⪒(⋰*⋻1506⫥∨⫟⋰*⋻1434))⊘=NaN","reverse_text":"NaN=(⊥(⋰*⋻2279↺⋰*⋻2465))∀⇚≩(⋰*⋻1438⨰⋰*⋻559A⋳⪒(⋰*⋻1506⫥∨⫟⋰*⋻1434))⊘","cot":[{"info":"⋰*⋻2279↺⋰*⋻2465=⋰*⋻2465","layer":3},{"info":"⊥⋰*⋻2465=NaN","layer":2},{"info":"⋰*⋻1438⨰⋰*⋻559A=⋰*⋻-4153","layer":3},{"info":"⋰*⋻1506⫥∨⫟⋰*⋻1434=NaN","layer":3},{"info":"⋰*⋻-4153⋳⪒NaN=NaN","layer":2},{"info":"NaN∀⇚≩NaN=NaN","layer":1},{"info":"NaN⊘=NaN","layer":0}]}
{"id":784,"expression_no_base_symbol":"↯⪼((⋗⩬⋾$7364$)+⇶⊼$6256$⋝⋈⪟$1034$⊉≛↸(↔(⊄⩳↩$1002$)))","expression":"↯⪼((⋗⩬⋾⋰*⋻5595)+⇶⊼⋰*⋻4778⋝⋈⪟⋰*⋻860⊉≛↸(↔(⊄⩳↩⋰*⋻831)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":65,"operation_count":7,"complexity_ratio":9.285714285714286,"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":7364,"base":11}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":6256,"base":11},"right_expr":{"type":"numeric_atoms","value":1034,"base":11}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1002,"base":11}}}}},"used_operators":["8jW3W4yZS5","DZ8iAZOCBD","TpPTUOHfaN","DpFCA1CohY","2DDjHMKMc0","ruOEQAzv1W","8w2t5hMYqp"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻-1A","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7364","layer":4},{"info":"compute unary expreesion, input=7364, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-22092","layer":3},{"info":"number node, value=6256","layer":4},{"info":"number node, value=1034","layer":4},{"info":"compute binary expreesion, left_input=6256, right_input=1034, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6256","layer":3},{"info":"compute binary expreesion, left_input=-22092, right_input=6256, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=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 unary expreesion, input=-3006, 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 = 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 = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":0}],"base":11,"result_base":11,"text":"↯⪼((⋗⩬⋾⋰*⋻5595)+⇶⊼⋰*⋻4778⋝⋈⪟⋰*⋻860⊉≛↸(↔(⊄⩳↩⋰*⋻831)))=⋰*⋻-1A","reverse_text":"⋰*⋻-1A=↯⪼((⋗⩬⋾⋰*⋻5595)+⇶⊼⋰*⋻4778⋝⋈⪟⋰*⋻860⊉≛↸(↔(⊄⩳↩⋰*⋻831)))","cot":[{"info":"⋗⩬⋾⋰*⋻5595=⋰*⋻-15664","layer":3},{"info":"⋰*⋻4778⋝⋈⪟⋰*⋻860=⋰*⋻4778","layer":3},{"info":"⋰*⋻-15664+⇶⊼⋰*⋻4778=NaN","layer":2},{"info":"⊄⩳↩⋰*⋻831=⋰*⋻-2293","layer":3},{"info":"↔⋰*⋻-2293=⋰*⋻-112","layer":2},{"info":"NaN⊉≛↸⋰*⋻-112=NaN","layer":1},{"info":"↯⪼NaN=⋰*⋻-1A","layer":0}]}
{"id":785,"expression_no_base_symbol":"((∂$1393$)⨐⩸⫘$1399$⨪↰⇹$6592$)∑⇟⊟($2090$⩨$1936$*($3367$⇼⇔∾$1193$))≦≮≮","expression":"((∂⋰*⋻1057)⨐⩸⫘⋰*⋻1062⨪↰⇹⋰*⋻4A53)∑⇟⊟(⋰*⋻1630⩨⋰*⋻1500*(⋰*⋻2591⇼⇔∾⋰*⋻995))≦≮≮","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1412,"operation_count":8,"complexity_ratio":176.5,"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":1393,"base":11}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1399,"base":11},"right_expr":{"type":"numeric_atoms","value":6592,"base":11}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2090,"base":11},"right_expr":{"type":"numeric_atoms","value":1936,"base":11}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3367,"base":11},"right_expr":{"type":"numeric_atoms","value":1193,"base":11}}}}},"used_operators":["D4vGDi5EA2","U7g4x0WXJJ","fu6greOZ01","Uaa54Peajs","tmPS8pqC7x","9HNa5Wba9A","2DlMacCsIx","tifHPKVTfV"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","3ViojmjbAp","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rJVOvQCfKK","W4YGzv6Whe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1393","layer":4},{"info":"compute unary expreesion, input=1393, 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=1399","layer":4},{"info":"number node, value=6592","layer":4},{"info":"compute binary expreesion, left_input=1399, right_input=6592, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1399","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1399, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=2090","layer":4},{"info":"number node, value=1936","layer":4},{"info":"compute binary expreesion, left_input=2090, right_input=1936, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=3367","layer":4},{"info":"number node, value=1193","layer":4},{"info":"compute binary expreesion, left_input=3367, right_input=1193, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-2174","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-2174, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((∂⋰*⋻1057)⨐⩸⫘⋰*⋻1062⨪↰⇹⋰*⋻4A53)∑⇟⊟(⋰*⋻1630⩨⋰*⋻1500*(⋰*⋻2591⇼⇔∾⋰*⋻995))≦≮≮=NaN","reverse_text":"NaN=((∂⋰*⋻1057)⨐⩸⫘⋰*⋻1062⨪↰⇹⋰*⋻4A53)∑⇟⊟(⋰*⋻1630⩨⋰*⋻1500*(⋰*⋻2591⇼⇔∾⋰*⋻995))≦≮≮","cot":[{"info":"∂⋰*⋻1057=NaN","layer":3},{"info":"⋰*⋻1062⨪↰⇹⋰*⋻4A53=⋰*⋻1062","layer":3},{"info":"NaN⨐⩸⫘⋰*⋻1062=NaN","layer":2},{"info":"⋰*⋻1630⩨⋰*⋻1500=⋰*⋻0","layer":3},{"info":"⋰*⋻2591⇼⇔∾⋰*⋻995=⋰*⋻-16A7","layer":3},{"info":"⋰*⋻0*⋰*⋻-16A7=⋰*⋻0","layer":2},{"info":"NaN∑⇟⊟⋰*⋻0=NaN","layer":1},{"info":"NaN≦≮≮=NaN","layer":0}]}
{"id":786,"expression_no_base_symbol":"(⨞⊢$1000$⨪↰⇹$7547$)⪮%⊝($4375$⇼⇔∾$7533$-$6905$⨰$3720$)⩨(∂($4730$+$5324$)⪘⫢($1105$⇼⇔∾$2054$))","expression":"(⨞⊢⋰*⋻82A⨪↰⇹⋰*⋻5741)⪮%⊝(⋰*⋻3318⇼⇔∾⋰*⋻5729-⋰*⋻5208⨰⋰*⋻2882)⩨(∂(⋰*⋻3610+⋰*⋻4000)⪘⫢(⋰*⋻915⇼⇔∾⋰*⋻15A8))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1043,"operation_count":11,"complexity_ratio":94.81818181818181,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1000,"base":11},"right_expr":{"type":"numeric_atoms","value":7547,"base":11}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":4375,"base":11},"right_expr":{"type":"numeric_atoms","value":7533,"base":11}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":6905,"base":11},"right_expr":{"type":"numeric_atoms","value":3720,"base":11}}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":4730,"base":11},"right_expr":{"type":"numeric_atoms","value":5324,"base":11}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1105,"base":11},"right_expr":{"type":"numeric_atoms","value":2054,"base":11}}}}},"used_operators":["2DlMacCsIx","IWmyXbctLI","xUOZtlo3hN","tmPS8pqC7x","rysDP5nf3Z","tifHPKVTfV","eewbuw0ToL","Uaa54Peajs","oacrs7FA3X","W4YGzv6Whe"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1000","layer":4},{"info":"number node, value=7547","layer":4},{"info":"compute binary expreesion, left_input=1000, right_input=7547, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1000","layer":3},{"info":"compute unary expreesion, input=1000, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1174","layer":2},{"info":"number node, value=4375","layer":4},{"info":"number node, value=7533","layer":4},{"info":"compute binary expreesion, left_input=4375, right_input=7533, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=3158","layer":3},{"info":"number node, value=6905","layer":4},{"info":"number node, value=3720","layer":4},{"info":"compute binary expreesion, left_input=6905, right_input=3720, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=3195","layer":3},{"info":"compute binary expreesion, left_input=3158, right_input=3195, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-37","layer":2},{"info":"compute binary expreesion, left_input=-1174, right_input=-37, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-2032","layer":1},{"info":"number node, value=4730","layer":4},{"info":"number node, value=5324","layer":4},{"info":"compute binary expreesion, left_input=4730, right_input=5324, op_id = W4YGzv6Whe binary_op_definition= 'None', output=10054","layer":3},{"info":"number node, value=1105","layer":4},{"info":"number node, value=2054","layer":4},{"info":"compute binary expreesion, left_input=1105, right_input=2054, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=949","layer":3},{"info":"compute binary expreesion, left_input=10054, right_input=949, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=19984","layer":2},{"info":"compute unary expreesion, input=19984, 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=-2032, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⨞⊢⋰*⋻82A⨪↰⇹⋰*⋻5741)⪮%⊝(⋰*⋻3318⇼⇔∾⋰*⋻5729-⋰*⋻5208⨰⋰*⋻2882)⩨(∂(⋰*⋻3610+⋰*⋻4000)⪘⫢(⋰*⋻915⇼⇔∾⋰*⋻15A8))=NaN","reverse_text":"NaN=(⨞⊢⋰*⋻82A⨪↰⇹⋰*⋻5741)⪮%⊝(⋰*⋻3318⇼⇔∾⋰*⋻5729-⋰*⋻5208⨰⋰*⋻2882)⩨(∂(⋰*⋻3610+⋰*⋻4000)⪘⫢(⋰*⋻915⇼⇔∾⋰*⋻15A8))","cot":[{"info":"⋰*⋻82A⨪↰⇹⋰*⋻5741=⋰*⋻82A","layer":3},{"info":"⨞⊢⋰*⋻82A=⋰*⋻-978","layer":2},{"info":"⋰*⋻3318⇼⇔∾⋰*⋻5729=⋰*⋻2411","layer":3},{"info":"⋰*⋻5208⨰⋰*⋻2882=⋰*⋻2445","layer":3},{"info":"⋰*⋻2411-⋰*⋻2445=⋰*⋻-34","layer":2},{"info":"⋰*⋻-978⪮%⊝⋰*⋻-34=⋰*⋻-1588","layer":1},{"info":"⋰*⋻3610+⋰*⋻4000=⋰*⋻7610","layer":3},{"info":"⋰*⋻915⇼⇔∾⋰*⋻15A8=⋰*⋻793","layer":3},{"info":"⋰*⋻7610⪘⫢⋰*⋻793=⋰*⋻14018","layer":2},{"info":"∂⋰*⋻14018=NaN","layer":1},{"info":"⋰*⋻-1588⩨NaN=NaN","layer":0}]}
{"id":787,"expression_no_base_symbol":"(($1245$⊭∹↮)⫸⊐($3631$⨸⪁$1012$))⫥∨⫟($1061$⨎$1533$⋳⪒$6547$↬$2087$)⪒($1085$∀⇚≩$3664$≦≮≮)⋥≓≎($1858$⋥≓≎$5530$)⨰($2392$⨵⪆$3390$)","expression":"((⋰*⋻A32⊭∹↮)⫸⊐(⋰*⋻2801⨸⪁⋰*⋻840))⫥∨⫟(⋰*⋻885⨎⋰*⋻1174⋳⪒⋰*⋻4A12↬⋰*⋻1628)⪒(⋰*⋻8A7∀⇚≩⋰*⋻2831≦≮≮)⋥≓≎(⋰*⋻143A⋥≓≎⋰*⋻4178)⨰(⋰*⋻1885⨵⪆⋰*⋻2602)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":7810,"operation_count":14,"complexity_ratio":557.8571428571429,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1245,"base":11}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3631,"base":11},"right_expr":{"type":"numeric_atoms","value":1012,"base":11}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1061,"base":11},"right_expr":{"type":"numeric_atoms","value":1533,"base":11}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":6547,"base":11},"right_expr":{"type":"numeric_atoms","value":2087,"base":11}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1085,"base":11},"right_expr":{"type":"numeric_atoms","value":3664,"base":11}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1858,"base":11},"right_expr":{"type":"numeric_atoms","value":5530,"base":11}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2392,"base":11},"right_expr":{"type":"numeric_atoms","value":3390,"base":11}}}}},"used_operators":["f6k1SAg4EE","KYD54nUTWz","mqXw5SEYmG","xNBdhnnwKq","g55IO6H4Gj","12rbrZMWeM","rJVOvQCfKK","B5M0gjZbta","Qy55tPpLXF","D4vGDi5EA2","LRNGc0VcxI","eewbuw0ToL","2DQ55sFlQl"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1245","layer":4},{"info":"compute unary expreesion, input=1245, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2490","layer":3},{"info":"number node, value=3631","layer":4},{"info":"number node, value=1012","layer":4},{"info":"compute binary expreesion, left_input=3631, right_input=1012, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9286","layer":3},{"info":"compute binary expreesion, left_input=2490, right_input=9286, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=37019","layer":2},{"info":"number node, value=1061","layer":4},{"info":"number node, value=1533","layer":4},{"info":"compute binary expreesion, left_input=1061, right_input=1533, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1533","layer":3},{"info":"number node, value=6547","layer":4},{"info":"number node, value=2087","layer":4},{"info":"compute binary expreesion, left_input=6547, right_input=2087, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1533, 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=37019, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1085","layer":4},{"info":"number node, value=3664","layer":4},{"info":"compute binary expreesion, left_input=1085, right_input=3664, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":2},{"info":"number node, value=1858","layer":4},{"info":"number node, value=5530","layer":4},{"info":"compute binary expreesion, left_input=1858, right_input=5530, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=9235","layer":3},{"info":"number node, value=2392","layer":4},{"info":"number node, value=3390","layer":4},{"info":"compute binary expreesion, left_input=2392, right_input=3390, 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=9235, right_input=160, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=9085","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=9085, 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 = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻A32⊭∹↮)⫸⊐(⋰*⋻2801⨸⪁⋰*⋻840))⫥∨⫟(⋰*⋻885⨎⋰*⋻1174⋳⪒⋰*⋻4A12↬⋰*⋻1628)⪒(⋰*⋻8A7∀⇚≩⋰*⋻2831≦≮≮)⋥≓≎(⋰*⋻143A⋥≓≎⋰*⋻4178)⨰(⋰*⋻1885⨵⪆⋰*⋻2602)=NaN","reverse_text":"NaN=((⋰*⋻A32⊭∹↮)⫸⊐(⋰*⋻2801⨸⪁⋰*⋻840))⫥∨⫟(⋰*⋻885⨎⋰*⋻1174⋳⪒⋰*⋻4A12↬⋰*⋻1628)⪒(⋰*⋻8A7∀⇚≩⋰*⋻2831≦≮≮)⋥≓≎(⋰*⋻143A⋥≓≎⋰*⋻4178)⨰(⋰*⋻1885⨵⪆⋰*⋻2602)","cot":[{"info":"⋰*⋻A32⊭∹↮=⋰*⋻1964","layer":3},{"info":"⋰*⋻2801⨸⪁⋰*⋻840=⋰*⋻6A82","layer":3},{"info":"⋰*⋻1964⫸⊐⋰*⋻6A82=⋰*⋻258A4","layer":2},{"info":"⋰*⋻885⨎⋰*⋻1174=⋰*⋻1174","layer":3},{"info":"⋰*⋻4A12↬⋰*⋻1628=NaN","layer":3},{"info":"⋰*⋻1174⋳⪒NaN=NaN","layer":2},{"info":"⋰*⋻258A4⫥∨⫟NaN=NaN","layer":1},{"info":"⋰*⋻8A7∀⇚≩⋰*⋻2831=NaN","layer":3},{"info":"NaN≦≮≮=NaN","layer":2},{"info":"⋰*⋻143A⋥≓≎⋰*⋻4178=⋰*⋻6A36","layer":3},{"info":"⋰*⋻1885⨵⪆⋰*⋻2602=⋰*⋻136","layer":3},{"info":"⋰*⋻6A36⨰⋰*⋻136=⋰*⋻690A","layer":2},{"info":"NaN⋥≓≎⋰*⋻690A=⋰*⋻61","layer":1},{"info":"NaN⪒⋰*⋻61=NaN","layer":0}]}
{"id":788,"expression_no_base_symbol":"(($4520$⪨≂$5701$)↬($4398$∑⇟⊟$1033$)∸)⋷(≉(($5936$∸)/($1704$⪨≂$2361$)))","expression":"((⋰*⋻343A⪨≂⋰*⋻4313)↬(⋰*⋻3339∑⇟⊟⋰*⋻85A)∸)⋷(≉((⋰*⋻4507∸)/(⋰*⋻130A⪨≂⋰*⋻1857)))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":371,"operation_count":9,"complexity_ratio":41.22222222222222,"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":4520,"base":11},"right_expr":{"type":"numeric_atoms","value":5701,"base":11}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":4398,"base":11},"right_expr":{"type":"numeric_atoms","value":1033,"base":11}}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":5936,"base":11}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1704,"base":11},"right_expr":{"type":"numeric_atoms","value":2361,"base":11}}}}},"used_operators":["23Mk6UjR3U","o20kRiQErp","B5M0gjZbta","sdazOOVcIp","U7g4x0WXJJ","e1ybzncUwg","XhwjNDsVaA"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⋰*⋻-2A2","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4520","layer":4},{"info":"number node, value=5701","layer":4},{"info":"compute binary expreesion, left_input=4520, right_input=5701, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-2260","layer":3},{"info":"number node, value=4398","layer":4},{"info":"number node, value=1033","layer":4},{"info":"compute binary expreesion, left_input=4398, right_input=1033, 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=-2260, 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 = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"number node, value=5936","layer":4},{"info":"compute unary expreesion, input=5936, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=1704","layer":4},{"info":"number node, value=2361","layer":4},{"info":"compute binary expreesion, left_input=1704, right_input=2361, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-1212","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=-1212, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":2},{"info":"compute unary expreesion, input=-1, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=530","layer":1},{"info":"compute binary expreesion, left_input=177, right_input=530, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-354","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻343A⪨≂⋰*⋻4313)↬(⋰*⋻3339∑⇟⊟⋰*⋻85A)∸)⋷(≉((⋰*⋻4507∸)/(⋰*⋻130A⪨≂⋰*⋻1857)))=⋰*⋻-2A2","reverse_text":"⋰*⋻-2A2=((⋰*⋻343A⪨≂⋰*⋻4313)↬(⋰*⋻3339∑⇟⊟⋰*⋻85A)∸)⋷(≉((⋰*⋻4507∸)/(⋰*⋻130A⪨≂⋰*⋻1857)))","cot":[{"info":"⋰*⋻343A⪨≂⋰*⋻4313=⋰*⋻-1775","layer":3},{"info":"⋰*⋻3339∑⇟⊟⋰*⋻85A=NaN","layer":3},{"info":"⋰*⋻-1775↬NaN=NaN","layer":2},{"info":"NaN∸=⋰*⋻151","layer":1},{"info":"⋰*⋻4507∸=⋰*⋻151","layer":3},{"info":"⋰*⋻130A⪨≂⋰*⋻1857=⋰*⋻-A02","layer":3},{"info":"⋰*⋻151/⋰*⋻-A02=⋰*⋻-1","layer":2},{"info":"≉⋰*⋻-1=⋰*⋻442","layer":1},{"info":"⋰*⋻151⋷⋰*⋻442=⋰*⋻-2A2","layer":0}]}
{"id":789,"expression_no_base_symbol":"(↣≠⋷(⨑⩽⪐($1182$≋⫹)))⨽(⨞⊢(($5497$⊘)⊦⊿))","expression":"(↣≠⋷(⨑⩽⪐(⋰*⋻985≋⫹)))⨽(⨞⊢((⋰*⋻4148⊘)⊦⊿))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":50,"operation_count":7,"complexity_ratio":7.142857142857143,"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":1182,"base":11}}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":5497,"base":11}}}}},"used_operators":["8HhzD0ZcuI","Asc51vEJeQ","AF7qkfDlqP","N41Kp7NANJ","xUOZtlo3hN","14qkJME0vr","gu96TGCTMs"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1182","layer":4},{"info":"compute unary expreesion, input=1182, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2364","layer":3},{"info":"compute unary expreesion, input=-2364, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=5517","layer":2},{"info":"compute unary expreesion, input=5517, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"number node, value=5497","layer":4},{"info":"compute unary expreesion, input=5497, 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 = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-79","layer":2},{"info":"compute unary expreesion, input=-79, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-95","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-95, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(↣≠⋷(⨑⩽⪐(⋰*⋻985≋⫹)))⨽(⨞⊢((⋰*⋻4148⊘)⊦⊿))=NaN","reverse_text":"NaN=(↣≠⋷(⨑⩽⪐(⋰*⋻985≋⫹)))⨽(⨞⊢((⋰*⋻4148⊘)⊦⊿))","cot":[{"info":"⋰*⋻985≋⫹=⋰*⋻-185A","layer":3},{"info":"⨑⩽⪐⋰*⋻-185A=⋰*⋻4166","layer":2},{"info":"↣≠⋷⋰*⋻4166=NaN","layer":1},{"info":"⋰*⋻4148⊘=⋰*⋻0","layer":3},{"info":"⋰*⋻0⊦⊿=⋰*⋻-72","layer":2},{"info":"⨞⊢⋰*⋻-72=⋰*⋻-87","layer":1},{"info":"NaN⨽⋰*⋻-87=NaN","layer":0}]}
{"id":790,"expression_no_base_symbol":"(≉$5105$)⊴($1550$⨳⩥⨓$1698$)⪮%⊝(($1388$⫸⊐$1694$)⋥≓≎(∂$3500$))≦≮≮","expression":"(≉⋰*⋻3921)⊴(⋰*⋻118A⨳⩥⨓⋰*⋻1304)⪮%⊝((⋰*⋻1052⫸⊐⋰*⋻1300)⋥≓≎(∂⋰*⋻26A2))≦≮≮","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2816,"operation_count":8,"complexity_ratio":352.0,"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":5105,"base":11}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1550,"base":11},"right_expr":{"type":"numeric_atoms","value":1698,"base":11}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1388,"base":11},"right_expr":{"type":"numeric_atoms","value":1694,"base":11}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":3500,"base":11}}}}},"used_operators":["D4vGDi5EA2","IWmyXbctLI","Nsiff2A1zJ","e1ybzncUwg","nCS4ZIUYfx","Qy55tPpLXF","mqXw5SEYmG","Uaa54Peajs"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=5105","layer":4},{"info":"compute unary expreesion, input=5105, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=5636","layer":3},{"info":"number node, value=1550","layer":4},{"info":"number node, value=1698","layer":4},{"info":"compute binary expreesion, left_input=1550, right_input=1698, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=148","layer":3},{"info":"compute binary expreesion, left_input=5636, right_input=148, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=1388","layer":4},{"info":"number node, value=1694","layer":4},{"info":"compute binary expreesion, left_input=1388, right_input=1694, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6651","layer":3},{"info":"number node, value=3500","layer":4},{"info":"compute unary expreesion, input=3500, 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=6651, 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 = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢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":11,"result_base":11,"text":"(≉⋰*⋻3921)⊴(⋰*⋻118A⨳⩥⨓⋰*⋻1304)⪮%⊝((⋰*⋻1052⫸⊐⋰*⋻1300)⋥≓≎(∂⋰*⋻26A2))≦≮≮=NaN","reverse_text":"NaN=(≉⋰*⋻3921)⊴(⋰*⋻118A⨳⩥⨓⋰*⋻1304)⪮%⊝((⋰*⋻1052⫸⊐⋰*⋻1300)⋥≓≎(∂⋰*⋻26A2))≦≮≮","cot":[{"info":"≉⋰*⋻3921=⋰*⋻4264","layer":3},{"info":"⋰*⋻118A⨳⩥⨓⋰*⋻1304=⋰*⋻125","layer":3},{"info":"⋰*⋻4264⊴⋰*⋻125=NaN","layer":2},{"info":"⋰*⋻1052⫸⊐⋰*⋻1300=⋰*⋻4AA7","layer":3},{"info":"∂⋰*⋻26A2=NaN","layer":3},{"info":"⋰*⋻4AA7⋥≓≎NaN=NaN","layer":2},{"info":"NaN⪮%⊝NaN=NaN","layer":1},{"info":"NaN≦≮≮=NaN","layer":0}]}
{"id":791,"expression_no_base_symbol":"((($3244$∲⫓$1105$)⪒$3241$⋥≓≎$5024$)≎⊠⪸(($5365$/$6073$)↺(+⊝⨔$4645$)))⇋≉","expression":"(((⋰*⋻248A∲⫓⋰*⋻915)⪒⋰*⋻2487⋥≓≎⋰*⋻3858)≎⊠⪸((⋰*⋻4038/⋰*⋻4621)↺(+⊝⨔⋰*⋻3543)))⇋≉","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":326,"operation_count":8,"complexity_ratio":40.75,"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":3244,"base":11},"right_expr":{"type":"numeric_atoms","value":1105,"base":11}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3241,"base":11},"right_expr":{"type":"numeric_atoms","value":5024,"base":11}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":5365,"base":11},"right_expr":{"type":"numeric_atoms","value":6073,"base":11}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":4645,"base":11}}}}},"used_operators":["XIabStNQrY","bJkvcejdHO","f6k1SAg4EE","i8ToyICDmI","Qy55tPpLXF","7j4O788W3g","XhwjNDsVaA","DhbWaqg5eL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"⋰*⋻1AAAA1A","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3244","layer":4},{"info":"number node, value=1105","layer":4},{"info":"compute binary expreesion, left_input=3244, right_input=1105, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=3241","layer":4},{"info":"number node, value=5024","layer":4},{"info":"compute binary expreesion, left_input=3241, right_input=5024, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=6840","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=6840, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6840","layer":2},{"info":"number node, value=5365","layer":4},{"info":"number node, value=6073","layer":4},{"info":"compute binary expreesion, left_input=5365, right_input=6073, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=4645","layer":4},{"info":"compute unary expreesion, input=4645, 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 = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1522","layer":2},{"info":"compute binary expreesion, left_input=-6840, right_input=1522, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1771560","layer":1},{"info":"compute unary expreesion, input=1771560, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=3543022","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻248A∲⫓⋰*⋻915)⪒⋰*⋻2487⋥≓≎⋰*⋻3858)≎⊠⪸((⋰*⋻4038/⋰*⋻4621)↺(+⊝⨔⋰*⋻3543)))⇋≉=⋰*⋻1AAAA1A","reverse_text":"⋰*⋻1AAAA1A=(((⋰*⋻248A∲⫓⋰*⋻915)⪒⋰*⋻2487⋥≓≎⋰*⋻3858)≎⊠⪸((⋰*⋻4038/⋰*⋻4621)↺(+⊝⨔⋰*⋻3543)))⇋≉","cot":[{"info":"⋰*⋻248A∲⫓⋰*⋻915=⋰*⋻0","layer":3},{"info":"⋰*⋻2487⋥≓≎⋰*⋻3858=⋰*⋻5159","layer":3},{"info":"⋰*⋻0⪒⋰*⋻5159=⋰*⋻-5159","layer":2},{"info":"⋰*⋻4038/⋰*⋻4621=⋰*⋻0","layer":3},{"info":"+⊝⨔⋰*⋻3543=⋰*⋻1164","layer":3},{"info":"⋰*⋻0↺⋰*⋻1164=⋰*⋻1164","layer":2},{"info":"⋰*⋻-5159≎⊠⪸⋰*⋻1164=⋰*⋻AAAAAA","layer":1},{"info":"⋰*⋻AAAAAA⇋≉=⋰*⋻1AAAA1A","layer":0}]}
{"id":792,"expression_no_base_symbol":"(($1553$≦≮≮)⨳⩥⨓(+⊝⨔$1420$)∲⫓$2990$↺$1537$⩨(⊄⩳↩$3335$))-($3317$≹⇙⪍$5193$⇼⇔∾$1186$∀⇚≩$1358$)⨟⋌⩍((⫓⪴$1707$)⩠)","expression":"((⋰*⋻1192≦≮≮)⨳⩥⨓(+⊝⨔⋰*⋻1081)∲⫓⋰*⋻2279↺⋰*⋻1178⩨(⊄⩳↩⋰*⋻2562))-(⋰*⋻2546≹⇙⪍⋰*⋻39A1⇼⇔∾⋰*⋻989∀⇚≩⋰*⋻1025)⨟⋌⩍((⫓⪴⋰*⋻1312)⩠)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":10093,"operation_count":14,"complexity_ratio":720.9285714285714,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1553,"base":11}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1420,"base":11}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2990,"base":11},"right_expr":{"type":"numeric_atoms","value":1537,"base":11}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":3335,"base":11}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3317,"base":11},"right_expr":{"type":"numeric_atoms","value":5193,"base":11}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1186,"base":11},"right_expr":{"type":"numeric_atoms","value":1358,"base":11}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1707,"base":11}}}}},"used_operators":["rysDP5nf3Z","i8ToyICDmI","nCS4ZIUYfx","D4vGDi5EA2","DhbWaqg5eL","2DlMacCsIx","7j4O788W3g","8w2t5hMYqp","rGHVDoGpnC","tifHPKVTfV","AHs5Up7iyr","LRNGc0VcxI","sJAwomhLZr","eLxqMNBOBk"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","X99M06cbEe","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1553","layer":4},{"info":"compute unary expreesion, input=1553, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-4659","layer":3},{"info":"number node, value=1420","layer":4},{"info":"compute unary expreesion, input=1420, 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=-4659, right_input=1522, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=6181","layer":2},{"info":"number node, value=2990","layer":4},{"info":"number node, value=1537","layer":4},{"info":"compute binary expreesion, left_input=2990, right_input=1537, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1537","layer":3},{"info":"number node, value=3335","layer":4},{"info":"compute unary expreesion, input=3335, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-10005","layer":3},{"info":"compute binary expreesion, left_input=1537, right_input=-10005, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=21","layer":2},{"info":"compute binary expreesion, left_input=6181, right_input=21, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=6181","layer":1},{"info":"number node, value=3317","layer":4},{"info":"number node, value=5193","layer":4},{"info":"compute binary expreesion, left_input=3317, right_input=5193, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=1186","layer":4},{"info":"number node, value=1358","layer":4},{"info":"compute binary expreesion, left_input=1186, right_input=1358, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"number node, value=1707","layer":4},{"info":"compute unary expreesion, input=1707, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=2913849","layer":3},{"info":"compute unary expreesion, input=2913849, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=6181, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1192≦≮≮)⨳⩥⨓(+⊝⨔⋰*⋻1081)∲⫓⋰*⋻2279↺⋰*⋻1178⩨(⊄⩳↩⋰*⋻2562))-(⋰*⋻2546≹⇙⪍⋰*⋻39A1⇼⇔∾⋰*⋻989∀⇚≩⋰*⋻1025)⨟⋌⩍((⫓⪴⋰*⋻1312)⩠)=NaN","reverse_text":"NaN=((⋰*⋻1192≦≮≮)⨳⩥⨓(+⊝⨔⋰*⋻1081)∲⫓⋰*⋻2279↺⋰*⋻1178⩨(⊄⩳↩⋰*⋻2562))-(⋰*⋻2546≹⇙⪍⋰*⋻39A1⇼⇔∾⋰*⋻989∀⇚≩⋰*⋻1025)⨟⋌⩍((⫓⪴⋰*⋻1312)⩠)","cot":[{"info":"⋰*⋻1192≦≮≮=⋰*⋻-3556","layer":3},{"info":"+⊝⨔⋰*⋻1081=⋰*⋻1164","layer":3},{"info":"⋰*⋻-3556⨳⩥⨓⋰*⋻1164=⋰*⋻470A","layer":2},{"info":"⋰*⋻2279↺⋰*⋻1178=⋰*⋻1178","layer":3},{"info":"⊄⩳↩⋰*⋻2562=⋰*⋻-7576","layer":3},{"info":"⋰*⋻1178⩨⋰*⋻-7576=⋰*⋻1A","layer":2},{"info":"⋰*⋻470A∲⫓⋰*⋻1A=⋰*⋻470A","layer":1},{"info":"⋰*⋻2546≹⇙⪍⋰*⋻39A1=NaN","layer":3},{"info":"⋰*⋻989∀⇚≩⋰*⋻1025=NaN","layer":3},{"info":"NaN⇼⇔∾NaN=NaN","layer":2},{"info":"⫓⪴⋰*⋻1312=⋰*⋻1710244","layer":3},{"info":"⋰*⋻1710244⩠=⋰*⋻0","layer":2},{"info":"NaN⨟⋌⩍⋰*⋻0=NaN","layer":1},{"info":"⋰*⋻470A-NaN=NaN","layer":0}]}
{"id":793,"expression_no_base_symbol":"((∂$3187$)↙($3555$/$4355$))∀⇚≩((⊄⩳↩$1026$)⋥≓≎$1355$↬$1536$)⪄((↯⪼($5751$⪘⫢$1086$))⪨≂(($1536$⫸⊐$6481$)⊭∹↮))","expression":"((∂⋰*⋻2438)↙(⋰*⋻2742/⋰*⋻32AA))∀⇚≩((⊄⩳↩⋰*⋻853)⋥≓≎⋰*⋻1022↬⋰*⋻1177)⪄((↯⪼(⋰*⋻4359⪘⫢⋰*⋻8A8))⪨≂((⋰*⋻1177⫸⊐⋰*⋻4962)⊭∹↮))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":112,"operation_count":13,"complexity_ratio":8.615384615384615,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":3187,"base":11}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3555,"base":11},"right_expr":{"type":"numeric_atoms","value":4355,"base":11}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1026,"base":11}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1355,"base":11},"right_expr":{"type":"numeric_atoms","value":1536,"base":11}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":5751,"base":11},"right_expr":{"type":"numeric_atoms","value":1086,"base":11}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1536,"base":11},"right_expr":{"type":"numeric_atoms","value":6481,"base":11}}}}},"used_operators":["SUmda5xLS4","LRNGc0VcxI","yyfyN0ffXY","Uaa54Peajs","XhwjNDsVaA","Qy55tPpLXF","8w2t5hMYqp","B5M0gjZbta","sdazOOVcIp","8jW3W4yZS5","oacrs7FA3X","xNBdhnnwKq","mqXw5SEYmG"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","X99M06cbEe","tmPS8pqC7x","DpFCA1CohY","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⋰*⋻2A98","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3187","layer":4},{"info":"compute unary expreesion, input=3187, 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=3555","layer":4},{"info":"number node, value=4355","layer":4},{"info":"compute binary expreesion, left_input=3555, right_input=4355, op_id = XhwjNDsVaA binary_op_definition= 'None', 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=1026","layer":4},{"info":"compute unary expreesion, input=1026, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3078","layer":3},{"info":"number node, value=1355","layer":4},{"info":"number node, value=1536","layer":4},{"info":"compute binary expreesion, left_input=1355, right_input=1536, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=-3078, 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=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":1},{"info":"number node, value=5751","layer":4},{"info":"number node, value=1086","layer":4},{"info":"compute binary expreesion, left_input=5751, right_input=1086, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=11378","layer":3},{"info":"compute unary expreesion, input=11378, 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=1536","layer":4},{"info":"number node, value=6481","layer":4},{"info":"compute binary expreesion, left_input=1536, right_input=6481, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=25799","layer":3},{"info":"compute unary expreesion, input=25799, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=51598","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=51598, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-103136","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-103136, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":11,"result_base":11,"text":"((∂⋰*⋻2438)↙(⋰*⋻2742/⋰*⋻32AA))∀⇚≩((⊄⩳↩⋰*⋻853)⋥≓≎⋰*⋻1022↬⋰*⋻1177)⪄((↯⪼(⋰*⋻4359⪘⫢⋰*⋻8A8))⪨≂((⋰*⋻1177⫸⊐⋰*⋻4962)⊭∹↮))=⋰*⋻2A98","reverse_text":"⋰*⋻2A98=((∂⋰*⋻2438)↙(⋰*⋻2742/⋰*⋻32AA))∀⇚≩((⊄⩳↩⋰*⋻853)⋥≓≎⋰*⋻1022↬⋰*⋻1177)⪄((↯⪼(⋰*⋻4359⪘⫢⋰*⋻8A8))⪨≂((⋰*⋻1177⫸⊐⋰*⋻4962)⊭∹↮))","cot":[{"info":"∂⋰*⋻2438=NaN","layer":3},{"info":"⋰*⋻2742/⋰*⋻32AA=⋰*⋻0","layer":3},{"info":"NaN↙⋰*⋻0=NaN","layer":2},{"info":"⊄⩳↩⋰*⋻853=⋰*⋻-2349","layer":3},{"info":"⋰*⋻1022↬⋰*⋻1177=NaN","layer":3},{"info":"⋰*⋻-2349⋥≓≎NaN=⋰*⋻61","layer":2},{"info":"NaN∀⇚≩⋰*⋻61=NaN","layer":1},{"info":"⋰*⋻4359⪘⫢⋰*⋻8A8=⋰*⋻8604","layer":3},{"info":"↯⪼⋰*⋻8604=⋰*⋻-1A","layer":2},{"info":"⋰*⋻1177⫸⊐⋰*⋻4962=⋰*⋻18424","layer":3},{"info":"⋰*⋻18424⊭∹↮=⋰*⋻35848","layer":2},{"info":"⋰*⋻-1A⪨≂⋰*⋻35848=⋰*⋻-70540","layer":1},{"info":"NaN⪄⋰*⋻-70540=⋰*⋻2A98","layer":0}]}
{"id":794,"expression_no_base_symbol":"⪲⇎($3396$⨟⋌⩍$2807$⨓($1374$⨰$7919$))⇷(≉(⨑⩽⪐$5258$))","expression":"⪲⇎(⋰*⋻2608⨟⋌⩍⋰*⋻2122⨓(⋰*⋻103A⨰⋰*⋻5A4A))⇷(≉(⨑⩽⪐⋰*⋻3A50))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":98095,"operation_count":7,"complexity_ratio":14013.57142857143,"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":3396,"base":11},"right_expr":{"type":"numeric_atoms","value":2807,"base":11}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1374,"base":11},"right_expr":{"type":"numeric_atoms","value":7919,"base":11}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":5258,"base":11}}}}},"used_operators":["XPYlsWDdGa","mp7IySMOzn","3ViojmjbAp","rGHVDoGpnC","eewbuw0ToL","e1ybzncUwg","AF7qkfDlqP"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3396","layer":4},{"info":"number node, value=2807","layer":4},{"info":"compute binary expreesion, left_input=3396, right_input=2807, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1374","layer":4},{"info":"number node, value=7919","layer":4},{"info":"compute binary expreesion, left_input=1374, right_input=7919, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-6535","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6535, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-6538","layer":2},{"info":"number node, value=5258","layer":4},{"info":"compute unary expreesion, input=5258, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-4985","layer":3},{"info":"compute unary expreesion, input=-4985, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-4985","layer":2},{"info":"compute binary expreesion, left_input=-6538, right_input=-4985, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⪲⇎(⋰*⋻2608⨟⋌⩍⋰*⋻2122⨓(⋰*⋻103A⨰⋰*⋻5A4A))⇷(≉(⨑⩽⪐⋰*⋻3A50))=NaN","reverse_text":"NaN=⪲⇎(⋰*⋻2608⨟⋌⩍⋰*⋻2122⨓(⋰*⋻103A⨰⋰*⋻5A4A))⇷(≉(⨑⩽⪐⋰*⋻3A50))","cot":[{"info":"⋰*⋻2608⨟⋌⩍⋰*⋻2122=NaN","layer":3},{"info":"⋰*⋻103A⨰⋰*⋻5A4A=⋰*⋻-4A01","layer":3},{"info":"NaN⨓⋰*⋻-4A01=⋰*⋻-4A04","layer":2},{"info":"⨑⩽⪐⋰*⋻3A50=⋰*⋻-3822","layer":3},{"info":"≉⋰*⋻-3822=⋰*⋻-3822","layer":2},{"info":"⋰*⋻-4A04⇷⋰*⋻-3822=NaN","layer":1},{"info":"⪲⇎NaN=NaN","layer":0}]}
{"id":795,"expression_no_base_symbol":"((⊥($1820$-$7431$))⪒($1994$⫸⊐$7120$⋷$2178$⩷∴$6826$))≫≃","expression":"((⊥(⋰*⋻1405-⋰*⋻5646))⪒(⋰*⋻1553⫸⊐⋰*⋻5393⋷⋰*⋻1700⩷∴⋰*⋻5146))≫≃","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":45,"operation_count":7,"complexity_ratio":6.428571428571429,"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":1820,"base":11},"right_expr":{"type":"numeric_atoms","value":7431,"base":11}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1994,"base":11},"right_expr":{"type":"numeric_atoms","value":7120,"base":11}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2178,"base":11},"right_expr":{"type":"numeric_atoms","value":6826,"base":11}}}}},"used_operators":["X99M06cbEe","f6k1SAg4EE","Q3PJZHRvZv","rysDP5nf3Z","23Mk6UjR3U","mqXw5SEYmG","9FxExcQeMw"],"dependent_operators":["2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1820","layer":4},{"info":"number node, value=7431","layer":4},{"info":"compute binary expreesion, left_input=1820, right_input=7431, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-5611","layer":3},{"info":"compute unary expreesion, input=-5611, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"number node, value=1994","layer":4},{"info":"number node, value=7120","layer":4},{"info":"compute binary expreesion, left_input=1994, right_input=7120, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=28355","layer":3},{"info":"number node, value=2178","layer":4},{"info":"number node, value=6826","layer":4},{"info":"compute binary expreesion, left_input=2178, right_input=6826, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-9328","layer":3},{"info":"compute binary expreesion, left_input=28355, right_input=-9328, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-47011","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-47011, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⊥(⋰*⋻1405-⋰*⋻5646))⪒(⋰*⋻1553⫸⊐⋰*⋻5393⋷⋰*⋻1700⩷∴⋰*⋻5146))≫≃=NaN","reverse_text":"NaN=((⊥(⋰*⋻1405-⋰*⋻5646))⪒(⋰*⋻1553⫸⊐⋰*⋻5393⋷⋰*⋻1700⩷∴⋰*⋻5146))≫≃","cot":[{"info":"⋰*⋻1405-⋰*⋻5646=⋰*⋻-4241","layer":3},{"info":"⊥⋰*⋻-4241=NaN","layer":2},{"info":"⋰*⋻1553⫸⊐⋰*⋻5393=⋰*⋻1A338","layer":3},{"info":"⋰*⋻1700⩷∴⋰*⋻5146=⋰*⋻-7010","layer":3},{"info":"⋰*⋻1A338⋷⋰*⋻-7010=⋰*⋻-32358","layer":2},{"info":"NaN⪒⋰*⋻-32358=NaN","layer":1},{"info":"NaN≫≃=NaN","layer":0}]}
{"id":796,"expression_no_base_symbol":"(($1885$⩨$5286$)⋓$7831$⪢$4136$⋥≓≎($1816$⫥∨⫟$1122$↺(⫓⪴$1026$)))⪛(($1354$⋝⋈⪟$1987$≫≃)⫡⨏$2800$⩨$6365$⊉≛↸($2572$≦≮≮))","expression":"((⋰*⋻1464⩨⋰*⋻3A76)⋓⋰*⋻597A⪢⋰*⋻3120⋥≓≎(⋰*⋻1401⫥∨⫟⋰*⋻930↺(⫓⪴⋰*⋻853)))⪛((⋰*⋻1021⋝⋈⪟⋰*⋻1547≫≃)⫡⨏⋰*⋻2116⩨⋰*⋻4867⊉≛↸(⋰*⋻1A29≦≮≮))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":13651,"operation_count":14,"complexity_ratio":975.0714285714286,"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":1885,"base":11},"right_expr":{"type":"numeric_atoms","value":5286,"base":11}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":7831,"base":11},"right_expr":{"type":"numeric_atoms","value":4136,"base":11}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1816,"base":11},"right_expr":{"type":"numeric_atoms","value":1122,"base":11}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1026,"base":11}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1354,"base":11},"right_expr":{"type":"numeric_atoms","value":1987,"base":11}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2800,"base":11},"right_expr":{"type":"numeric_atoms","value":6365,"base":11}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":2572,"base":11}}}}},"used_operators":["uFcxV4UQCh","Qy55tPpLXF","T2fj7uvVaJ","2DlMacCsIx","dWAJyo7jo9","7j4O788W3g","KYD54nUTWz","eLxqMNBOBk","QMFrweE19q","X99M06cbEe","2DDjHMKMc0","DZ8iAZOCBD","D4vGDi5EA2"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻61","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1885","layer":4},{"info":"number node, value=5286","layer":4},{"info":"compute binary expreesion, left_input=1885, right_input=5286, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":3},{"info":"number node, value=7831","layer":4},{"info":"number node, value=4136","layer":4},{"info":"compute binary expreesion, left_input=7831, right_input=4136, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=-6, 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=1816","layer":4},{"info":"number node, value=1122","layer":4},{"info":"compute binary expreesion, left_input=1816, right_input=1122, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1026","layer":4},{"info":"compute unary expreesion, input=1026, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1052676","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1052676, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1052676","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1052676, 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=1354","layer":4},{"info":"number node, value=1987","layer":4},{"info":"compute binary expreesion, left_input=1354, right_input=1987, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1354","layer":3},{"info":"compute unary expreesion, input=1354, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=4109","layer":2},{"info":"number node, value=2800","layer":4},{"info":"number node, value=6365","layer":4},{"info":"compute binary expreesion, left_input=2800, right_input=6365, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":3},{"info":"number node, value=2572","layer":4},{"info":"compute unary expreesion, input=2572, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-7716","layer":3},{"info":"compute binary expreesion, left_input=-6, right_input=-7716, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-12","layer":2},{"info":"compute binary expreesion, left_input=4109, right_input=-12, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=21304","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=21304, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=67","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1464⩨⋰*⋻3A76)⋓⋰*⋻597A⪢⋰*⋻3120⋥≓≎(⋰*⋻1401⫥∨⫟⋰*⋻930↺(⫓⪴⋰*⋻853)))⪛((⋰*⋻1021⋝⋈⪟⋰*⋻1547≫≃)⫡⨏⋰*⋻2116⩨⋰*⋻4867⊉≛↸(⋰*⋻1A29≦≮≮))=⋰*⋻61","reverse_text":"⋰*⋻61=((⋰*⋻1464⩨⋰*⋻3A76)⋓⋰*⋻597A⪢⋰*⋻3120⋥≓≎(⋰*⋻1401⫥∨⫟⋰*⋻930↺(⫓⪴⋰*⋻853)))⪛((⋰*⋻1021⋝⋈⪟⋰*⋻1547≫≃)⫡⨏⋰*⋻2116⩨⋰*⋻4867⊉≛↸(⋰*⋻1A29≦≮≮))","cot":[{"info":"⋰*⋻1464⩨⋰*⋻3A76=⋰*⋻-6","layer":3},{"info":"⋰*⋻597A⪢⋰*⋻3120=NaN","layer":3},{"info":"⋰*⋻-6⋓NaN=NaN","layer":2},{"info":"⋰*⋻1401⫥∨⫟⋰*⋻930=NaN","layer":3},{"info":"⫓⪴⋰*⋻853=⋰*⋻659989","layer":3},{"info":"NaN↺⋰*⋻659989=⋰*⋻659989","layer":2},{"info":"NaN⋥≓≎⋰*⋻659989=⋰*⋻61","layer":1},{"info":"⋰*⋻1021⋝⋈⪟⋰*⋻1547=⋰*⋻1021","layer":3},{"info":"⋰*⋻1021≫≃=⋰*⋻30A6","layer":2},{"info":"⋰*⋻2116⩨⋰*⋻4867=⋰*⋻-6","layer":3},{"info":"⋰*⋻1A29≦≮≮=⋰*⋻-5885","layer":3},{"info":"⋰*⋻-6⊉≛↸⋰*⋻-5885=⋰*⋻-11","layer":2},{"info":"⋰*⋻30A6⫡⨏⋰*⋻-11=⋰*⋻15008","layer":1},{"info":"⋰*⋻61⪛⋰*⋻15008=⋰*⋻61","layer":0}]}
{"id":797,"expression_no_base_symbol":"(($1434$⨵⪆$2775$)≭(⇁⨣⪵$1578$))⩷∴($5902$≭$1917$⋥≓≎$1016$⩷∴$4558$)⨎(($3693$⫥∨⫟$1591$)↬($6189$≋⫹)⊭↱$7932$⋳⪒$1349$↺$5532$+⇶⊼$4030$)","expression":"((⋰*⋻1094⨵⪆⋰*⋻20A3)≭(⇁⨣⪵⋰*⋻1205))⩷∴(⋰*⋻4486≭⋰*⋻1493⋥≓≎⋰*⋻844⩷∴⋰*⋻3474)⨎((⋰*⋻2858⫥∨⫟⋰*⋻1217)↬(⋰*⋻4717≋⫹)⊭↱⋰*⋻5A61⋳⪒⋰*⋻1017↺⋰*⋻417A+⇶⊼⋰*⋻3034)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":193,"operation_count":15,"complexity_ratio":12.866666666666667,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1434,"base":11},"right_expr":{"type":"numeric_atoms","value":2775,"base":11}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1578,"base":11}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":5902,"base":11},"right_expr":{"type":"numeric_atoms","value":1917,"base":11}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1016,"base":11},"right_expr":{"type":"numeric_atoms","value":4558,"base":11}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3693,"base":11},"right_expr":{"type":"numeric_atoms","value":1591,"base":11}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":6189,"base":11}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":7932,"base":11},"right_expr":{"type":"numeric_atoms","value":1349,"base":11}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":5532,"base":11},"right_expr":{"type":"numeric_atoms","value":4030,"base":11}}}}},"used_operators":["rJVOvQCfKK","9FxExcQeMw","rxpJgHHUmx","2DQ55sFlQl","inkyxCbjAn","Qy55tPpLXF","COABgblf1C","B5M0gjZbta","KYD54nUTWz","N41Kp7NANJ","7j4O788W3g","12rbrZMWeM","TpPTUOHfaN"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1434","layer":4},{"info":"number node, value=2775","layer":4},{"info":"compute binary expreesion, left_input=1434, right_input=2775, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1578","layer":4},{"info":"compute unary expreesion, input=1578, 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 = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=5902","layer":4},{"info":"number node, value=1917","layer":4},{"info":"compute binary expreesion, left_input=5902, right_input=1917, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=1016","layer":4},{"info":"number node, value=4558","layer":4},{"info":"compute binary expreesion, left_input=1016, right_input=4558, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-7116","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-7116, 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 = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"number node, value=3693","layer":4},{"info":"number node, value=1591","layer":4},{"info":"compute binary expreesion, left_input=3693, right_input=1591, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=6189","layer":4},{"info":"compute unary expreesion, input=6189, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-12378","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-12378, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=7932","layer":4},{"info":"number node, value=1349","layer":4},{"info":"compute binary expreesion, left_input=7932, right_input=1349, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=14228","layer":3},{"info":"number node, value=5532","layer":4},{"info":"number node, value=4030","layer":4},{"info":"compute binary expreesion, left_input=5532, right_input=4030, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=14228, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"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":11,"result_base":11,"text":"((⋰*⋻1094⨵⪆⋰*⋻20A3)≭(⇁⨣⪵⋰*⋻1205))⩷∴(⋰*⋻4486≭⋰*⋻1493⋥≓≎⋰*⋻844⩷∴⋰*⋻3474)⨎((⋰*⋻2858⫥∨⫟⋰*⋻1217)↬(⋰*⋻4717≋⫹)⊭↱⋰*⋻5A61⋳⪒⋰*⋻1017↺⋰*⋻417A+⇶⊼⋰*⋻3034)=NaN","reverse_text":"NaN=((⋰*⋻1094⨵⪆⋰*⋻20A3)≭(⇁⨣⪵⋰*⋻1205))⩷∴(⋰*⋻4486≭⋰*⋻1493⋥≓≎⋰*⋻844⩷∴⋰*⋻3474)⨎((⋰*⋻2858⫥∨⫟⋰*⋻1217)↬(⋰*⋻4717≋⫹)⊭↱⋰*⋻5A61⋳⪒⋰*⋻1017↺⋰*⋻417A+⇶⊼⋰*⋻3034)","cot":[{"info":"⋰*⋻1094⨵⪆⋰*⋻20A3=⋰*⋻136","layer":3},{"info":"⇁⨣⪵⋰*⋻1205=NaN","layer":3},{"info":"⋰*⋻136≭NaN=NaN","layer":2},{"info":"⋰*⋻4486≭⋰*⋻1493=NaN","layer":3},{"info":"⋰*⋻844⩷∴⋰*⋻3474=⋰*⋻-538A","layer":3},{"info":"NaN⋥≓≎⋰*⋻-538A=⋰*⋻61","layer":2},{"info":"NaN⩷∴⋰*⋻61=NaN","layer":1},{"info":"⋰*⋻2858⫥∨⫟⋰*⋻1217=NaN","layer":3},{"info":"⋰*⋻4717≋⫹=⋰*⋻-9333","layer":3},{"info":"NaN↬⋰*⋻-9333=NaN","layer":2},{"info":"⋰*⋻5A61⋳⪒⋰*⋻1017=⋰*⋻A765","layer":3},{"info":"⋰*⋻417A+⇶⊼⋰*⋻3034=NaN","layer":3},{"info":"⋰*⋻A765↺NaN=NaN","layer":2},{"info":"NaN⊭↱NaN=NaN","layer":1},{"info":"NaN⨎NaN=NaN","layer":0}]}
{"id":798,"expression_no_base_symbol":"⨑⩽⪐(⫓⪴(⫛⫱⨽$1856$))⨟⋌⩍($2852$⫸⊐$3074$∲⫓$1603$⨪↰⇹$5525$)","expression":"⨑⩽⪐(⫓⪴(⫛⫱⨽⋰*⋻1438))⨟⋌⩍(⋰*⋻2163⫸⊐⋰*⋻2345∲⫓⋰*⋻1228⨪↰⇹⋰*⋻4173)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3060,"operation_count":7,"complexity_ratio":437.14285714285717,"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":1856,"base":11}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2852,"base":11},"right_expr":{"type":"numeric_atoms","value":3074,"base":11}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1603,"base":11},"right_expr":{"type":"numeric_atoms","value":5525,"base":11}}}}},"used_operators":["AF7qkfDlqP","rGHVDoGpnC","eLxqMNBOBk","DlLNRPXxWL","i8ToyICDmI","mqXw5SEYmG","tmPS8pqC7x"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","Tcnh7f0tEr","9HNa5Wba9A","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rJVOvQCfKK"],"result":"⋰*⋻658","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1856","layer":4},{"info":"compute unary expreesion, input=1856, 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":"number node, value=2852","layer":4},{"info":"number node, value=3074","layer":4},{"info":"compute binary expreesion, left_input=2852, 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=1603","layer":4},{"info":"number node, value=5525","layer":4},{"info":"compute binary expreesion, left_input=1603, right_input=5525, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1603","layer":3},{"info":"compute binary expreesion, left_input=12171, right_input=1603, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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 unary expreesion, input=0, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=789","layer":0}],"base":11,"result_base":11,"text":"⨑⩽⪐(⫓⪴(⫛⫱⨽⋰*⋻1438))⨟⋌⩍(⋰*⋻2163⫸⊐⋰*⋻2345∲⫓⋰*⋻1228⨪↰⇹⋰*⋻4173)=⋰*⋻658","reverse_text":"⋰*⋻658=⨑⩽⪐(⫓⪴(⫛⫱⨽⋰*⋻1438))⨟⋌⩍(⋰*⋻2163⫸⊐⋰*⋻2345∲⫓⋰*⋻1228⨪↰⇹⋰*⋻4173)","cot":[{"info":"⫛⫱⨽⋰*⋻1438=⋰*⋻0","layer":3},{"info":"⫓⪴⋰*⋻0=⋰*⋻0","layer":2},{"info":"⋰*⋻2163⫸⊐⋰*⋻2345=⋰*⋻9165","layer":3},{"info":"⋰*⋻1228⨪↰⇹⋰*⋻4173=⋰*⋻1228","layer":3},{"info":"⋰*⋻9165∲⫓⋰*⋻1228=⋰*⋻0","layer":2},{"info":"⋰*⋻0⨟⋌⩍⋰*⋻0=⋰*⋻0","layer":1},{"info":"⨑⩽⪐⋰*⋻0=⋰*⋻658","layer":0}]}
{"id":799,"expression_no_base_symbol":"(((⨑⩽⪐$7227$)≭$2286$⨪↰⇹$1592$)∀⇚≩($5425$∑⇟⊟$2135$)∀⇚≩($3894$⫸⊐$1590$))∼($2451$⪢$3243$⋓($1040$%$2365$)↺(↥($1494$⇼⇔∾$1399$)))","expression":"(((⨑⩽⪐⋰*⋻5480)≭⋰*⋻1799⨪↰⇹⋰*⋻1218)∀⇚≩(⋰*⋻4092∑⇟⊟⋰*⋻1671)∀⇚≩(⋰*⋻2A20⫸⊐⋰*⋻1216))∼(⋰*⋻1929⪢⋰*⋻2489⋓(⋰*⋻866%⋰*⋻1860)↺(↥(⋰*⋻1139⇼⇔∾⋰*⋻1062)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":5629,"operation_count":14,"complexity_ratio":402.07142857142856,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":7227,"base":11}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2286,"base":11},"right_expr":{"type":"numeric_atoms","value":1592,"base":11}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":5425,"base":11},"right_expr":{"type":"numeric_atoms","value":2135,"base":11}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3894,"base":11},"right_expr":{"type":"numeric_atoms","value":1590,"base":11}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2451,"base":11},"right_expr":{"type":"numeric_atoms","value":3243,"base":11}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1040,"base":11},"right_expr":{"type":"numeric_atoms","value":2365,"base":11}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1494,"base":11},"right_expr":{"type":"numeric_atoms","value":1399,"base":11}}}}},"used_operators":["DyGG3AbaNP","LRNGc0VcxI","rxpJgHHUmx","AF7qkfDlqP","tmPS8pqC7x","U7g4x0WXJJ","mqXw5SEYmG","7j4O788W3g","T2fj7uvVaJ","dWAJyo7jo9","k8jYdgA6NY","A8NUZmVepG","tifHPKVTfV"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","X99M06cbEe","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rJVOvQCfKK","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","k8jYdgA6NY","rysDP5nf3Z","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7227","layer":4},{"info":"compute unary expreesion, input=7227, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-6954","layer":3},{"info":"number node, value=2286","layer":4},{"info":"number node, value=1592","layer":4},{"info":"compute binary expreesion, left_input=2286, right_input=1592, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2286","layer":3},{"info":"compute binary expreesion, left_input=-6954, right_input=2286, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=5425","layer":4},{"info":"number node, value=2135","layer":4},{"info":"compute binary expreesion, left_input=5425, right_input=2135, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=3894","layer":4},{"info":"number node, value=1590","layer":4},{"info":"compute binary expreesion, left_input=3894, right_input=1590, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6235","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6235, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=2451","layer":4},{"info":"number node, value=3243","layer":4},{"info":"compute binary expreesion, left_input=2451, right_input=3243, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1040","layer":4},{"info":"number node, value=2365","layer":4},{"info":"compute binary expreesion, left_input=1040, right_input=2365, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1040","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1040, op_id = T2fj7uvVaJ binary_op_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=1494","layer":4},{"info":"number node, value=1399","layer":4},{"info":"compute binary expreesion, left_input=1494, right_input=1399, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-95","layer":3},{"info":"compute unary expreesion, input=-95, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=7","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=7, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=7","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=7, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":0}],"base":11,"result_base":11,"text":"(((⨑⩽⪐⋰*⋻5480)≭⋰*⋻1799⨪↰⇹⋰*⋻1218)∀⇚≩(⋰*⋻4092∑⇟⊟⋰*⋻1671)∀⇚≩(⋰*⋻2A20⫸⊐⋰*⋻1216))∼(⋰*⋻1929⪢⋰*⋻2489⋓(⋰*⋻866%⋰*⋻1860)↺(↥(⋰*⋻1139⇼⇔∾⋰*⋻1062)))=⋰*⋻0","reverse_text":"⋰*⋻0=(((⨑⩽⪐⋰*⋻5480)≭⋰*⋻1799⨪↰⇹⋰*⋻1218)∀⇚≩(⋰*⋻4092∑⇟⊟⋰*⋻1671)∀⇚≩(⋰*⋻2A20⫸⊐⋰*⋻1216))∼(⋰*⋻1929⪢⋰*⋻2489⋓(⋰*⋻866%⋰*⋻1860)↺(↥(⋰*⋻1139⇼⇔∾⋰*⋻1062)))","cot":[{"info":"⨑⩽⪐⋰*⋻5480=⋰*⋻-5252","layer":3},{"info":"⋰*⋻1799⨪↰⇹⋰*⋻1218=⋰*⋻1799","layer":3},{"info":"⋰*⋻-5252≭⋰*⋻1799=NaN","layer":2},{"info":"⋰*⋻4092∑⇟⊟⋰*⋻1671=NaN","layer":3},{"info":"⋰*⋻2A20⫸⊐⋰*⋻1216=⋰*⋻4759","layer":3},{"info":"NaN∀⇚≩⋰*⋻4759=NaN","layer":2},{"info":"NaN∀⇚≩NaN=NaN","layer":1},{"info":"⋰*⋻1929⪢⋰*⋻2489=NaN","layer":3},{"info":"⋰*⋻866%⋰*⋻1860=⋰*⋻866","layer":3},{"info":"NaN⋓⋰*⋻866=⋰*⋻0","layer":2},{"info":"⋰*⋻1139⇼⇔∾⋰*⋻1062=⋰*⋻-87","layer":3},{"info":"↥⋰*⋻-87=⋰*⋻7","layer":2},{"info":"⋰*⋻0↺⋰*⋻7=⋰*⋻7","layer":1},{"info":"NaN∼⋰*⋻7=⋰*⋻0","layer":0}]}
{"id":800,"expression_no_base_symbol":"(-$7804$⨓$2389$⋳⪒(⇁⨣⪵$2976$))⊉≛↸(($1421$⨓$1851$⋳⪒$1512$⋝⋈⪟$1739$)⊦⊿)","expression":"(-⋰*⋻5955⨓⋰*⋻1882⋳⪒(⇁⨣⪵⋰*⋻2266))⊉≛↸((⋰*⋻1082⨓⋰*⋻1433⋳⪒⋰*⋻1155⋝⋈⪟⋰*⋻1341)⊦⊿)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4279,"operation_count":9,"complexity_ratio":475.44444444444446,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":7804,"base":11},"right_expr":{"type":"numeric_atoms","value":2389,"base":11}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2976,"base":11}}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1421,"base":11},"right_expr":{"type":"numeric_atoms","value":1851,"base":11}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1512,"base":11},"right_expr":{"type":"numeric_atoms","value":1739,"base":11}}}}},"used_operators":["DZ8iAZOCBD","t8gj7n24qd","12rbrZMWeM","3ViojmjbAp","inkyxCbjAn","14qkJME0vr","2DDjHMKMc0"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","B5M0gjZbta","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7804","layer":4},{"info":"number node, value=2389","layer":4},{"info":"compute binary expreesion, left_input=7804, right_input=2389, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2392","layer":3},{"info":"number node, value=2976","layer":4},{"info":"compute unary expreesion, input=2976, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2392, 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 = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":1},{"info":"number node, value=1421","layer":4},{"info":"number node, value=1851","layer":4},{"info":"compute binary expreesion, left_input=1421, right_input=1851, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1854","layer":3},{"info":"number node, value=1512","layer":4},{"info":"number node, value=1739","layer":4},{"info":"compute binary expreesion, left_input=1512, right_input=1739, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1512","layer":3},{"info":"compute binary expreesion, left_input=-1854, right_input=1512, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-5507","layer":2},{"info":"compute unary expreesion, input=-5507, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=16442","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=16442, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(-⋰*⋻5955⨓⋰*⋻1882⋳⪒(⇁⨣⪵⋰*⋻2266))⊉≛↸((⋰*⋻1082⨓⋰*⋻1433⋳⪒⋰*⋻1155⋝⋈⪟⋰*⋻1341)⊦⊿)=NaN","reverse_text":"NaN=(-⋰*⋻5955⨓⋰*⋻1882⋳⪒(⇁⨣⪵⋰*⋻2266))⊉≛↸((⋰*⋻1082⨓⋰*⋻1433⋳⪒⋰*⋻1155⋝⋈⪟⋰*⋻1341)⊦⊿)","cot":[{"info":"⋰*⋻5955⨓⋰*⋻1882=⋰*⋻-1885","layer":3},{"info":"⇁⨣⪵⋰*⋻2266=NaN","layer":3},{"info":"⋰*⋻-1885⋳⪒NaN=NaN","layer":2},{"info":"-NaN=NaN","layer":1},{"info":"⋰*⋻1082⨓⋰*⋻1433=⋰*⋻-1436","layer":3},{"info":"⋰*⋻1155⋝⋈⪟⋰*⋻1341=⋰*⋻1155","layer":3},{"info":"⋰*⋻-1436⋳⪒⋰*⋻1155=⋰*⋻-4157","layer":2},{"info":"⋰*⋻-4157⊦⊿=⋰*⋻11398","layer":1},{"info":"NaN⊉≛↸⋰*⋻11398=NaN","layer":0}]}
{"id":801,"expression_no_base_symbol":"((⫛⫱⨽$1928$)⨎($2389$↪⪝))⨓(⋗⩬⋾(↯⪼$1748$))↛⩡⫤","expression":"((⫛⫱⨽⋰*⋻14A3)⨎(⋰*⋻1882↪⪝))⨓(⋗⩬⋾(↯⪼⋰*⋻134A))↛⩡⫤","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2550,"operation_count":7,"complexity_ratio":364.2857142857143,"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":1928,"base":11}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":2389,"base":11}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1748,"base":11}}}}},"used_operators":["FU0Cs4j7VP","3ViojmjbAp","rJVOvQCfKK","DlLNRPXxWL","l07mrZUIn9","DpFCA1CohY","8jW3W4yZS5"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rGHVDoGpnC","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"⋰*⋻2A38","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1928","layer":4},{"info":"compute unary expreesion, input=1928, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=2389","layer":4},{"info":"compute unary expreesion, input=2389, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=146163798","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=146163798, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=146163798","layer":2},{"info":"number node, value=1748","layer":4},{"info":"compute unary expreesion, input=1748, 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 = 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=146163798, right_input=63, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-66","layer":1},{"info":"compute unary expreesion, input=-66, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=3913","layer":0}],"base":11,"result_base":11,"text":"((⫛⫱⨽⋰*⋻14A3)⨎(⋰*⋻1882↪⪝))⨓(⋗⩬⋾(↯⪼⋰*⋻134A))↛⩡⫤=⋰*⋻2A38","reverse_text":"⋰*⋻2A38=((⫛⫱⨽⋰*⋻14A3)⨎(⋰*⋻1882↪⪝))⨓(⋗⩬⋾(↯⪼⋰*⋻134A))↛⩡⫤","cot":[{"info":"⫛⫱⨽⋰*⋻14A3=⋰*⋻0","layer":3},{"info":"⋰*⋻1882↪⪝=⋰*⋻75562030","layer":3},{"info":"⋰*⋻0⨎⋰*⋻75562030=⋰*⋻75562030","layer":2},{"info":"↯⪼⋰*⋻134A=⋰*⋻-1A","layer":3},{"info":"⋗⩬⋾⋰*⋻-1A=⋰*⋻58","layer":2},{"info":"⋰*⋻75562030⨓⋰*⋻58=⋰*⋻-60","layer":1},{"info":"⋰*⋻-60↛⩡⫤=⋰*⋻2A38","layer":0}]}
{"id":802,"expression_no_base_symbol":"((⨑⩽⪐($2356$*$4419$))⇼⇔∾(($2884$∲⫓$6607$)⇼⇔∾($1240$⋷$1532$)))⪐","expression":"((⨑⩽⪐(⋰*⋻1852*⋰*⋻3358))⇼⇔∾((⋰*⋻2192∲⫓⋰*⋻4A67)⇼⇔∾(⋰*⋻A28⋷⋰*⋻1173)))⪐","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2371,"operation_count":7,"complexity_ratio":338.7142857142857,"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":2356,"base":11},"right_expr":{"type":"numeric_atoms","value":4419,"base":11}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2884,"base":11},"right_expr":{"type":"numeric_atoms","value":6607,"base":11}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1240,"base":11},"right_expr":{"type":"numeric_atoms","value":1532,"base":11}}}}},"used_operators":["eH2TOUuTDT","tifHPKVTfV","AF7qkfDlqP","9HNa5Wba9A","i8ToyICDmI","23Mk6UjR3U"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻108344AA","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2356","layer":4},{"info":"number node, value=4419","layer":4},{"info":"compute binary expreesion, left_input=2356, right_input=4419, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=10411164","layer":3},{"info":"compute unary expreesion, input=10411164, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-10410891","layer":2},{"info":"number node, value=2884","layer":4},{"info":"number node, value=6607","layer":4},{"info":"compute binary expreesion, left_input=2884, right_input=6607, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1240","layer":4},{"info":"number node, value=1532","layer":4},{"info":"compute binary expreesion, left_input=1240, right_input=1532, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1824","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1824, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1824","layer":2},{"info":"compute binary expreesion, left_input=-10410891, right_input=1824, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=10412715","layer":1},{"info":"compute unary expreesion, input=10412715, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=20825430","layer":0}],"base":11,"result_base":11,"text":"((⨑⩽⪐(⋰*⋻1852*⋰*⋻3358))⇼⇔∾((⋰*⋻2192∲⫓⋰*⋻4A67)⇼⇔∾(⋰*⋻A28⋷⋰*⋻1173)))⪐=⋰*⋻108344AA","reverse_text":"⋰*⋻108344AA=((⨑⩽⪐(⋰*⋻1852*⋰*⋻3358))⇼⇔∾((⋰*⋻2192∲⫓⋰*⋻4A67)⇼⇔∾(⋰*⋻A28⋷⋰*⋻1173)))⪐","cot":[{"info":"⋰*⋻1852*⋰*⋻3358=⋰*⋻5971075","layer":3},{"info":"⨑⩽⪐⋰*⋻5971075=⋰*⋻-5970947","layer":2},{"info":"⋰*⋻2192∲⫓⋰*⋻4A67=⋰*⋻0","layer":3},{"info":"⋰*⋻A28⋷⋰*⋻1173=⋰*⋻1409","layer":3},{"info":"⋰*⋻0⇼⇔∾⋰*⋻1409=⋰*⋻1409","layer":2},{"info":"⋰*⋻-5970947⇼⇔∾⋰*⋻1409=⋰*⋻5972255","layer":1},{"info":"⋰*⋻5972255⪐=⋰*⋻108344AA","layer":0}]}
{"id":803,"expression_no_base_symbol":"(($4640$⨎$4989$)⨓($3635$⪨≂$5059$))↬(⪝⪂⫅($4066$⋷$4653$))⇼⇔∾(⨑⩽⪐($1063$⩤))↬(⪝⪂⫅($6634$⩷∴$1737$))","expression":"((⋰*⋻3539⨎⋰*⋻3826)⨓(⋰*⋻2805⪨≂⋰*⋻388A))↬(⪝⪂⫅(⋰*⋻3067⋷⋰*⋻3550))⇼⇔∾(⨑⩽⪐(⋰*⋻887⩤))↬(⪝⪂⫅(⋰*⋻4A91⩷∴⋰*⋻133A))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3079,"operation_count":12,"complexity_ratio":256.5833333333333,"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":4640,"base":11},"right_expr":{"type":"numeric_atoms","value":4989,"base":11}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3635,"base":11},"right_expr":{"type":"numeric_atoms","value":5059,"base":11}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":4066,"base":11},"right_expr":{"type":"numeric_atoms","value":4653,"base":11}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1063,"base":11}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":6634,"base":11},"right_expr":{"type":"numeric_atoms","value":1737,"base":11}}}}},"used_operators":["tifHPKVTfV","B5M0gjZbta","3ViojmjbAp","rJVOvQCfKK","sdazOOVcIp","XTarYq4gQB","23Mk6UjR3U","AF7qkfDlqP","Z2TMIBDE3Q","9FxExcQeMw"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4640","layer":4},{"info":"number node, value=4989","layer":4},{"info":"compute binary expreesion, left_input=4640, right_input=4989, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4989","layer":3},{"info":"number node, value=3635","layer":4},{"info":"number node, value=5059","layer":4},{"info":"compute binary expreesion, left_input=3635, right_input=5059, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-2746","layer":3},{"info":"compute binary expreesion, left_input=4989, right_input=-2746, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=2743","layer":2},{"info":"number node, value=4066","layer":4},{"info":"number node, value=4653","layer":4},{"info":"compute binary expreesion, left_input=4066, right_input=4653, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=5240","layer":3},{"info":"compute unary expreesion, input=5240, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-770280","layer":2},{"info":"compute binary expreesion, left_input=2743, right_input=-770280, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1063","layer":4},{"info":"compute unary expreesion, input=1063, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1063","layer":3},{"info":"compute unary expreesion, input=-1063, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=2915","layer":2},{"info":"number node, value=6634","layer":4},{"info":"number node, value=1737","layer":4},{"info":"compute binary expreesion, left_input=6634, right_input=1737, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=9762","layer":3},{"info":"compute unary expreesion, input=9762, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-1435014","layer":2},{"info":"compute binary expreesion, left_input=2915, right_input=-1435014, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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":11,"result_base":11,"text":"((⋰*⋻3539⨎⋰*⋻3826)⨓(⋰*⋻2805⪨≂⋰*⋻388A))↬(⪝⪂⫅(⋰*⋻3067⋷⋰*⋻3550))⇼⇔∾(⨑⩽⪐(⋰*⋻887⩤))↬(⪝⪂⫅(⋰*⋻4A91⩷∴⋰*⋻133A))=NaN","reverse_text":"NaN=((⋰*⋻3539⨎⋰*⋻3826)⨓(⋰*⋻2805⪨≂⋰*⋻388A))↬(⪝⪂⫅(⋰*⋻3067⋷⋰*⋻3550))⇼⇔∾(⨑⩽⪐(⋰*⋻887⩤))↬(⪝⪂⫅(⋰*⋻4A91⩷∴⋰*⋻133A))","cot":[{"info":"⋰*⋻3539⨎⋰*⋻3826=⋰*⋻3826","layer":3},{"info":"⋰*⋻2805⪨≂⋰*⋻388A=⋰*⋻-2077","layer":3},{"info":"⋰*⋻3826⨓⋰*⋻-2077=⋰*⋻2074","layer":2},{"info":"⋰*⋻3067⋷⋰*⋻3550=⋰*⋻3A34","layer":3},{"info":"⪝⪂⫅⋰*⋻3A34=⋰*⋻-4867A5","layer":2},{"info":"⋰*⋻2074↬⋰*⋻-4867A5=NaN","layer":1},{"info":"⋰*⋻887⩤=⋰*⋻-887","layer":3},{"info":"⨑⩽⪐⋰*⋻-887=⋰*⋻2210","layer":2},{"info":"⋰*⋻4A91⩷∴⋰*⋻133A=⋰*⋻7375","layer":3},{"info":"⪝⪂⫅⋰*⋻7375=⋰*⋻-8A0169","layer":2},{"info":"⋰*⋻2210↬⋰*⋻-8A0169=NaN","layer":1},{"info":"NaN⇼⇔∾NaN=NaN","layer":0}]}
{"id":804,"expression_no_base_symbol":"(-$1289$)⪢($3070$⋫)≎⊠⪸(⋗⩬⋾$7007$)∼(⊙↵-$1495$)⩚⊴⇥($1041$⨽$1636$)⨟⋌⩍($3401$≋⫹)≧⫂∧($4533$⩷∴$7153$⫥∨⫟($4967$⫥∨⫟$2892$))","expression":"(-⋰*⋻A72)⪢(⋰*⋻2341⋫)≎⊠⪸(⋗⩬⋾⋰*⋻52A0)∼(⊙↵-⋰*⋻113A)⩚⊴⇥(⋰*⋻867⨽⋰*⋻1258)⨟⋌⩍(⋰*⋻2612≋⫹)≧⫂∧(⋰*⋻3451⩷∴⋰*⋻5413⫥∨⫟(⋰*⋻3806⫥∨⫟⋰*⋻219A))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":11516,"operation_count":15,"complexity_ratio":767.7333333333333,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1289,"base":11}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":3070,"base":11}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":7007,"base":11}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1495,"base":11}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1041,"base":11},"right_expr":{"type":"numeric_atoms","value":1636,"base":11}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":3401,"base":11}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4533,"base":11},"right_expr":{"type":"numeric_atoms","value":7153,"base":11}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":4967,"base":11},"right_expr":{"type":"numeric_atoms","value":2892,"base":11}}}}},"used_operators":["NTOWxs364D","bJkvcejdHO","dWAJyo7jo9","t8gj7n24qd","JL8yIekQnl","DyGG3AbaNP","DpFCA1CohY","oWn0xqSxBt","Ph9nP6C5qx","rGHVDoGpnC","8HhzD0ZcuI","N41Kp7NANJ","KYD54nUTWz","9FxExcQeMw"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","k8jYdgA6NY","tmPS8pqC7x","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1289","layer":4},{"info":"compute unary expreesion, input=1289, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1289","layer":3},{"info":"number node, value=3070","layer":4},{"info":"compute unary expreesion, input=3070, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=3070","layer":3},{"info":"compute binary expreesion, left_input=-1289, right_input=3070, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=7007","layer":4},{"info":"compute unary expreesion, input=7007, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-21021","layer":3},{"info":"number node, value=1495","layer":4},{"info":"compute unary expreesion, input=1495, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=-21021, right_input=-1, 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=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":"number node, value=1041","layer":4},{"info":"number node, value=1636","layer":4},{"info":"compute binary expreesion, left_input=1041, right_input=1636, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3254637","layer":3},{"info":"number node, value=3401","layer":4},{"info":"compute unary expreesion, input=3401, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-6802","layer":3},{"info":"compute binary expreesion, left_input=-3254637, right_input=-6802, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=4533","layer":4},{"info":"number node, value=7153","layer":4},{"info":"compute binary expreesion, left_input=4533, right_input=7153, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-5272","layer":3},{"info":"number node, value=4967","layer":4},{"info":"number node, value=2892","layer":4},{"info":"compute binary expreesion, left_input=4967, right_input=2892, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-5272, 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 = 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 = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(-⋰*⋻A72)⪢(⋰*⋻2341⋫)≎⊠⪸(⋗⩬⋾⋰*⋻52A0)∼(⊙↵-⋰*⋻113A)⩚⊴⇥(⋰*⋻867⨽⋰*⋻1258)⨟⋌⩍(⋰*⋻2612≋⫹)≧⫂∧(⋰*⋻3451⩷∴⋰*⋻5413⫥∨⫟(⋰*⋻3806⫥∨⫟⋰*⋻219A))=NaN","reverse_text":"NaN=(-⋰*⋻A72)⪢(⋰*⋻2341⋫)≎⊠⪸(⋗⩬⋾⋰*⋻52A0)∼(⊙↵-⋰*⋻113A)⩚⊴⇥(⋰*⋻867⨽⋰*⋻1258)⨟⋌⩍(⋰*⋻2612≋⫹)≧⫂∧(⋰*⋻3451⩷∴⋰*⋻5413⫥∨⫟(⋰*⋻3806⫥∨⫟⋰*⋻219A))","cot":[{"info":"-⋰*⋻A72=⋰*⋻-A72","layer":3},{"info":"⋰*⋻2341⋫=⋰*⋻2341","layer":3},{"info":"⋰*⋻-A72⪢⋰*⋻2341=NaN","layer":2},{"info":"⋗⩬⋾⋰*⋻52A0=⋰*⋻-14880","layer":3},{"info":"⊙↵-⋰*⋻113A=⋰*⋻-1","layer":3},{"info":"⋰*⋻-14880∼⋰*⋻-1=⋰*⋻0","layer":2},{"info":"NaN≎⊠⪸⋰*⋻0=NaN","layer":1},{"info":"⋰*⋻867⨽⋰*⋻1258=⋰*⋻-1923291","layer":3},{"info":"⋰*⋻2612≋⫹=⋰*⋻-5124","layer":3},{"info":"⋰*⋻-1923291⨟⋌⩍⋰*⋻-5124=NaN","layer":2},{"info":"⋰*⋻3451⩷∴⋰*⋻5413=⋰*⋻-3A63","layer":3},{"info":"⋰*⋻3806⫥∨⫟⋰*⋻219A=NaN","layer":3},{"info":"⋰*⋻-3A63⫥∨⫟NaN=NaN","layer":2},{"info":"NaN≧⫂∧NaN=NaN","layer":1},{"info":"NaN⩚⊴⇥NaN=NaN","layer":0}]}
{"id":805,"expression_no_base_symbol":"(($2453$≭$5290$↙($1445$⫩⊇))⊘)≭(($7956$⫡⨏$1281$)≋⫹)≹⇙⪍($4816$≧⫂∧$7703$⨁⊸⫻)","expression":"((⋰*⋻1930≭⋰*⋻3A7A↙(⋰*⋻10A4⫩⊇))⊘)≭((⋰*⋻5A83⫡⨏⋰*⋻A65)≋⫹)≹⇙⪍(⋰*⋻3689≧⫂∧⋰*⋻5873⨁⊸⫻)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":39,"operation_count":10,"complexity_ratio":3.9,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2453,"base":11},"right_expr":{"type":"numeric_atoms","value":5290,"base":11}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":1445,"base":11}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":7956,"base":11},"right_expr":{"type":"numeric_atoms","value":1281,"base":11}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4816,"base":11},"right_expr":{"type":"numeric_atoms","value":7703,"base":11}}}}},"used_operators":["rxpJgHHUmx","gu96TGCTMs","yyfyN0ffXY","BjRHVeLaeN","AHs5Up7iyr","N41Kp7NANJ","QMFrweE19q","glklzrTFfD","Ph9nP6C5qx"],"dependent_operators":["AHs5Up7iyr","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2453","layer":4},{"info":"number node, value=5290","layer":4},{"info":"compute binary expreesion, left_input=2453, right_input=5290, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=1445","layer":4},{"info":"compute unary expreesion, input=1445, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1403","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1403, 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 = 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=7956","layer":4},{"info":"number node, value=1281","layer":4},{"info":"compute binary expreesion, left_input=7956, right_input=1281, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=43125","layer":3},{"info":"compute unary expreesion, input=43125, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-86250","layer":2},{"info":"number node, value=4816","layer":4},{"info":"number node, value=7703","layer":4},{"info":"compute binary expreesion, left_input=4816, right_input=7703, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=7230","layer":3},{"info":"compute unary expreesion, input=7230, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=7230","layer":2},{"info":"compute binary expreesion, left_input=-86250, right_input=7230, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1930≭⋰*⋻3A7A↙(⋰*⋻10A4⫩⊇))⊘)≭((⋰*⋻5A83⫡⨏⋰*⋻A65)≋⫹)≹⇙⪍(⋰*⋻3689≧⫂∧⋰*⋻5873⨁⊸⫻)=NaN","reverse_text":"NaN=((⋰*⋻1930≭⋰*⋻3A7A↙(⋰*⋻10A4⫩⊇))⊘)≭((⋰*⋻5A83⫡⨏⋰*⋻A65)≋⫹)≹⇙⪍(⋰*⋻3689≧⫂∧⋰*⋻5873⨁⊸⫻)","cot":[{"info":"⋰*⋻1930≭⋰*⋻3A7A=NaN","layer":3},{"info":"⋰*⋻10A4⫩⊇=⋰*⋻-1066","layer":3},{"info":"NaN↙⋰*⋻-1066=NaN","layer":2},{"info":"NaN⊘=NaN","layer":1},{"info":"⋰*⋻5A83⫡⨏⋰*⋻A65=⋰*⋻2A445","layer":3},{"info":"⋰*⋻2A445≋⫹=⋰*⋻-5988A","layer":2},{"info":"⋰*⋻3689≧⫂∧⋰*⋻5873=⋰*⋻5483","layer":3},{"info":"⋰*⋻5483⨁⊸⫻=⋰*⋻5483","layer":2},{"info":"⋰*⋻-5988A≹⇙⪍⋰*⋻5483=NaN","layer":1},{"info":"NaN≭NaN=NaN","layer":0}]}
{"id":806,"expression_no_base_symbol":"($5212$⨟⋌⩍$4381$⪨≂($2736$/$7889$))⋓($1098$⪢$2390$⋝⋈⪟(⊄⩳↩$2626$))⪄((⨵≀≌$2019$)∑⇟⊟($4295$⋝⋈⪟$1071$)+$1911$⇼⇔∾$2444$%$3364$⨐⩸⫘$9474$)","expression":"(⋰*⋻3A09⨟⋌⩍⋰*⋻3323⪨≂(⋰*⋻2068/⋰*⋻5A22))⋓(⋰*⋻909⪢⋰*⋻1883⋝⋈⪟(⊄⩳↩⋰*⋻1A78))⪄((⨵≀≌⋰*⋻1576)∑⇟⊟(⋰*⋻3255⋝⋈⪟⋰*⋻894)+⋰*⋻1488⇼⇔∾⋰*⋻1922%⋰*⋻2589⨐⩸⫘⋰*⋻7133)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2449,"operation_count":15,"complexity_ratio":163.26666666666668,"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":5212,"base":11},"right_expr":{"type":"numeric_atoms","value":4381,"base":11}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2736,"base":11},"right_expr":{"type":"numeric_atoms","value":7889,"base":11}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1098,"base":11},"right_expr":{"type":"numeric_atoms","value":2390,"base":11}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":2626,"base":11}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":2019,"base":11}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4295,"base":11},"right_expr":{"type":"numeric_atoms","value":1071,"base":11}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1911,"base":11},"right_expr":{"type":"numeric_atoms","value":2444,"base":11}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3364,"base":11},"right_expr":{"type":"numeric_atoms","value":9474,"base":11}}}}},"used_operators":["SUmda5xLS4","T2fj7uvVaJ","sdazOOVcIp","rGHVDoGpnC","XhwjNDsVaA","2DDjHMKMc0","dWAJyo7jo9","8w2t5hMYqp","W4YGzv6Whe","U7g4x0WXJJ","srAu1WTS94","k8jYdgA6NY","tifHPKVTfV","fu6greOZ01"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp"],"result":"⋰*⋻2A98","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5212","layer":4},{"info":"number node, value=4381","layer":4},{"info":"compute binary expreesion, left_input=5212, right_input=4381, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=2736","layer":4},{"info":"number node, value=7889","layer":4},{"info":"compute binary expreesion, left_input=2736, right_input=7889, op_id = XhwjNDsVaA binary_op_definition= 'None', 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=1098","layer":4},{"info":"number node, value=2390","layer":4},{"info":"compute binary expreesion, left_input=1098, right_input=2390, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=2626","layer":4},{"info":"compute unary expreesion, input=2626, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-7878","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-7878, 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 = T2fj7uvVaJ 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=2019","layer":4},{"info":"compute unary expreesion, input=2019, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-6057","layer":3},{"info":"number node, value=4295","layer":4},{"info":"number node, value=1071","layer":4},{"info":"compute binary expreesion, left_input=4295, right_input=1071, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4295","layer":3},{"info":"compute binary expreesion, left_input=-6057, right_input=4295, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=1911","layer":4},{"info":"number node, value=2444","layer":4},{"info":"compute binary expreesion, left_input=1911, right_input=2444, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=533","layer":3},{"info":"number node, value=3364","layer":4},{"info":"number node, value=9474","layer":4},{"info":"compute binary expreesion, left_input=3364, right_input=9474, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=533, 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 = W4YGzv6Whe binary_op_definition= 'None', 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":11,"result_base":11,"text":"(⋰*⋻3A09⨟⋌⩍⋰*⋻3323⪨≂(⋰*⋻2068/⋰*⋻5A22))⋓(⋰*⋻909⪢⋰*⋻1883⋝⋈⪟(⊄⩳↩⋰*⋻1A78))⪄((⨵≀≌⋰*⋻1576)∑⇟⊟(⋰*⋻3255⋝⋈⪟⋰*⋻894)+⋰*⋻1488⇼⇔∾⋰*⋻1922%⋰*⋻2589⨐⩸⫘⋰*⋻7133)=⋰*⋻2A98","reverse_text":"⋰*⋻2A98=(⋰*⋻3A09⨟⋌⩍⋰*⋻3323⪨≂(⋰*⋻2068/⋰*⋻5A22))⋓(⋰*⋻909⪢⋰*⋻1883⋝⋈⪟(⊄⩳↩⋰*⋻1A78))⪄((⨵≀≌⋰*⋻1576)∑⇟⊟(⋰*⋻3255⋝⋈⪟⋰*⋻894)+⋰*⋻1488⇼⇔∾⋰*⋻1922%⋰*⋻2589⨐⩸⫘⋰*⋻7133)","cot":[{"info":"⋰*⋻3A09⨟⋌⩍⋰*⋻3323=NaN","layer":3},{"info":"⋰*⋻2068/⋰*⋻5A22=⋰*⋻0","layer":3},{"info":"NaN⪨≂⋰*⋻0=NaN","layer":2},{"info":"⋰*⋻909⪢⋰*⋻1883=NaN","layer":3},{"info":"⊄⩳↩⋰*⋻1A78=⋰*⋻-5A12","layer":3},{"info":"NaN⋝⋈⪟⋰*⋻-5A12=NaN","layer":2},{"info":"NaN⋓NaN=NaN","layer":1},{"info":"⨵≀≌⋰*⋻1576=⋰*⋻-4607","layer":3},{"info":"⋰*⋻3255⋝⋈⪟⋰*⋻894=⋰*⋻3255","layer":3},{"info":"⋰*⋻-4607∑⇟⊟⋰*⋻3255=NaN","layer":2},{"info":"⋰*⋻1488⇼⇔∾⋰*⋻1922=⋰*⋻445","layer":3},{"info":"⋰*⋻2589⨐⩸⫘⋰*⋻7133=NaN","layer":3},{"info":"⋰*⋻445%NaN=NaN","layer":2},{"info":"NaN+NaN=NaN","layer":1},{"info":"NaN⪄NaN=⋰*⋻2A98","layer":0}]}
{"id":807,"expression_no_base_symbol":"((≉(⊙↵-$1398$))≎⊠⪸($5018$⩨$2359$%(↩$3642$)))∀⇚≩((∥⊫($1068$⊭↱$4929$))⫥∨⫟($1078$⪛$3876$⫡⨏(⊥$1792$)))","expression":"((≉(⊙↵-⋰*⋻1061))≎⊠⪸(⋰*⋻3852⩨⋰*⋻1855%(↩⋰*⋻2811)))∀⇚≩((∥⊫(⋰*⋻891⊭↱⋰*⋻3781))⫥∨⫟(⋰*⋻8A0⪛⋰*⋻2A04⫡⨏(⊥⋰*⋻138A)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":959492,"operation_count":13,"complexity_ratio":73807.07692307692,"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":1398,"base":11}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":5018,"base":11},"right_expr":{"type":"numeric_atoms","value":2359,"base":11}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":3642,"base":11}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1068,"base":11},"right_expr":{"type":"numeric_atoms","value":4929,"base":11}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1078,"base":11},"right_expr":{"type":"numeric_atoms","value":3876,"base":11}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1792,"base":11}}}}},"used_operators":["LRNGc0VcxI","bJkvcejdHO","e1ybzncUwg","oWn0xqSxBt","k8jYdgA6NY","2DlMacCsIx","jLgFTUHLKL","KYD54nUTWz","P8v4zCKN1o","COABgblf1C","QMFrweE19q","uFcxV4UQCh","Q3PJZHRvZv"],"dependent_operators":["X99M06cbEe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1398","layer":4},{"info":"compute unary expreesion, input=1398, 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":"number node, value=5018","layer":4},{"info":"number node, value=2359","layer":4},{"info":"compute binary expreesion, left_input=5018, right_input=2359, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=3642","layer":4},{"info":"compute unary expreesion, input=3642, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-26356","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-26356, op_id = k8jYdgA6NY binary_op_definition= 'None', output=0","layer":2},{"info":"compute binary expreesion, left_input=530, right_input=0, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=136797","layer":1},{"info":"number node, value=1068","layer":4},{"info":"number node, value=4929","layer":4},{"info":"compute binary expreesion, left_input=1068, right_input=4929, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=7727","layer":3},{"info":"compute unary expreesion, input=7727, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=8595","layer":2},{"info":"number node, value=1078","layer":4},{"info":"number node, value=3876","layer":4},{"info":"compute binary expreesion, left_input=1078, right_input=3876, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1078","layer":3},{"info":"number node, value=1792","layer":4},{"info":"compute unary expreesion, input=1792, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1078, 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=8595, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=136797, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"((≉(⊙↵-⋰*⋻1061))≎⊠⪸(⋰*⋻3852⩨⋰*⋻1855%(↩⋰*⋻2811)))∀⇚≩((∥⊫(⋰*⋻891⊭↱⋰*⋻3781))⫥∨⫟(⋰*⋻8A0⪛⋰*⋻2A04⫡⨏(⊥⋰*⋻138A)))=NaN","reverse_text":"NaN=((≉(⊙↵-⋰*⋻1061))≎⊠⪸(⋰*⋻3852⩨⋰*⋻1855%(↩⋰*⋻2811)))∀⇚≩((∥⊫(⋰*⋻891⊭↱⋰*⋻3781))⫥∨⫟(⋰*⋻8A0⪛⋰*⋻2A04⫡⨏(⊥⋰*⋻138A)))","cot":[{"info":"⊙↵-⋰*⋻1061=⋰*⋻-1","layer":3},{"info":"≉⋰*⋻-1=⋰*⋻442","layer":2},{"info":"⋰*⋻3852⩨⋰*⋻1855=⋰*⋻0","layer":3},{"info":"↩⋰*⋻2811=⋰*⋻-18890","layer":3},{"info":"⋰*⋻0%⋰*⋻-18890=⋰*⋻0","layer":2},{"info":"⋰*⋻442≎⊠⪸⋰*⋻0=⋰*⋻93861","layer":1},{"info":"⋰*⋻891⊭↱⋰*⋻3781=⋰*⋻5895","layer":3},{"info":"∥⊫⋰*⋻5895=⋰*⋻6504","layer":2},{"info":"⋰*⋻8A0⪛⋰*⋻2A04=⋰*⋻8A0","layer":3},{"info":"⊥⋰*⋻138A=NaN","layer":3},{"info":"⋰*⋻8A0⫡⨏NaN=NaN","layer":2},{"info":"⋰*⋻6504⫥∨⫟NaN=NaN","layer":1},{"info":"⋰*⋻93861∀⇚≩NaN=NaN","layer":0}]}
{"id":808,"expression_no_base_symbol":"(↔($1144$⨳⩥⨓$1780$%$2618$⋝⋈⪟$5651$))∲⫓(⨑⩽⪐(⨈⫕$2170$))↺(≦∁$1019$⫸⊐$2472$)","expression":"(↔(⋰*⋻950⨳⩥⨓⋰*⋻1379%⋰*⋻1A70⋝⋈⪟⋰*⋻4278))∲⫓(⨑⩽⪐(⨈⫕⋰*⋻16A3))↺(≦∁⋰*⋻847⫸⊐⋰*⋻1948)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":436,"operation_count":10,"complexity_ratio":43.6,"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":1144,"base":11},"right_expr":{"type":"numeric_atoms","value":1780,"base":11}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2618,"base":11},"right_expr":{"type":"numeric_atoms","value":5651,"base":11}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2170,"base":11}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1019,"base":11},"right_expr":{"type":"numeric_atoms","value":2472,"base":11}}}}},"used_operators":["i8ToyICDmI","ruOEQAzv1W","k8jYdgA6NY","nCS4ZIUYfx","2DDjHMKMc0","7j4O788W3g","AF7qkfDlqP","megm06wKyl","9ICcGScMcE","mqXw5SEYmG"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1144","layer":4},{"info":"number node, value=1780","layer":4},{"info":"compute binary expreesion, left_input=1144, right_input=1780, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=636","layer":3},{"info":"number node, value=2618","layer":4},{"info":"number node, value=5651","layer":4},{"info":"compute binary expreesion, left_input=2618, right_input=5651, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2618","layer":3},{"info":"compute binary expreesion, left_input=636, right_input=2618, op_id = k8jYdgA6NY binary_op_definition= 'None', output=636","layer":2},{"info":"compute unary expreesion, input=636, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-363","layer":1},{"info":"number node, value=2170","layer":4},{"info":"compute unary expreesion, input=2170, 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 = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=831","layer":2},{"info":"number node, value=1019","layer":4},{"info":"number node, value=2472","layer":4},{"info":"compute binary expreesion, left_input=1019, right_input=2472, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=9763","layer":3},{"info":"compute unary expreesion, input=9763, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=9763","layer":2},{"info":"compute binary expreesion, left_input=831, right_input=9763, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=9763","layer":1},{"info":"compute binary expreesion, left_input=-363, right_input=9763, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":0}],"base":11,"result_base":11,"text":"(↔(⋰*⋻950⨳⩥⨓⋰*⋻1379%⋰*⋻1A70⋝⋈⪟⋰*⋻4278))∲⫓(⨑⩽⪐(⨈⫕⋰*⋻16A3))↺(≦∁⋰*⋻847⫸⊐⋰*⋻1948)=⋰*⋻0","reverse_text":"⋰*⋻0=(↔(⋰*⋻950⨳⩥⨓⋰*⋻1379%⋰*⋻1A70⋝⋈⪟⋰*⋻4278))∲⫓(⨑⩽⪐(⨈⫕⋰*⋻16A3))↺(≦∁⋰*⋻847⫸⊐⋰*⋻1948)","cot":[{"info":"⋰*⋻950⨳⩥⨓⋰*⋻1379=⋰*⋻529","layer":3},{"info":"⋰*⋻1A70⋝⋈⪟⋰*⋻4278=⋰*⋻1A70","layer":3},{"info":"⋰*⋻529%⋰*⋻1A70=⋰*⋻529","layer":2},{"info":"↔⋰*⋻529=⋰*⋻-300","layer":1},{"info":"⨈⫕⋰*⋻16A3=⋰*⋻-1A","layer":3},{"info":"⨑⩽⪐⋰*⋻-1A=⋰*⋻696","layer":2},{"info":"⋰*⋻847⫸⊐⋰*⋻1948=⋰*⋻7376","layer":3},{"info":"≦∁⋰*⋻7376=⋰*⋻7376","layer":2},{"info":"⋰*⋻696↺⋰*⋻7376=⋰*⋻7376","layer":1},{"info":"⋰*⋻-300∲⫓⋰*⋻7376=⋰*⋻0","layer":0}]}
{"id":809,"expression_no_base_symbol":"↥(($3413$⨟⋌⩍$1977$≦≮≮)⊭↱((↩$4559$)/($4197$/$1460$)))","expression":"↥((⋰*⋻2623⨟⋌⩍⋰*⋻1538≦≮≮)⊭↱((↩⋰*⋻3475)/(⋰*⋻3176/⋰*⋻1108)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":16875,"operation_count":7,"complexity_ratio":2410.714285714286,"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":3413,"base":11},"right_expr":{"type":"numeric_atoms","value":1977,"base":11}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":4559,"base":11}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4197,"base":11},"right_expr":{"type":"numeric_atoms","value":1460,"base":11}}}}},"used_operators":["A8NUZmVepG","COABgblf1C","D4vGDi5EA2","rGHVDoGpnC","XhwjNDsVaA","jLgFTUHLKL"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3413","layer":4},{"info":"number node, value=1977","layer":4},{"info":"compute binary expreesion, left_input=3413, right_input=1977, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=4559","layer":4},{"info":"compute unary expreesion, input=4559, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-33692","layer":3},{"info":"number node, value=4197","layer":4},{"info":"number node, value=1460","layer":4},{"info":"compute binary expreesion, left_input=4197, right_input=1460, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"compute binary expreesion, left_input=-33692, right_input=2, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-16846","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-16846, 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 = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"↥((⋰*⋻2623⨟⋌⩍⋰*⋻1538≦≮≮)⊭↱((↩⋰*⋻3475)/(⋰*⋻3176/⋰*⋻1108)))=NaN","reverse_text":"NaN=↥((⋰*⋻2623⨟⋌⩍⋰*⋻1538≦≮≮)⊭↱((↩⋰*⋻3475)/(⋰*⋻3176/⋰*⋻1108)))","cot":[{"info":"⋰*⋻2623⨟⋌⩍⋰*⋻1538=NaN","layer":3},{"info":"NaN≦≮≮=NaN","layer":2},{"info":"↩⋰*⋻3475=⋰*⋻-2334A","layer":3},{"info":"⋰*⋻3176/⋰*⋻1108=⋰*⋻2","layer":3},{"info":"⋰*⋻-2334A/⋰*⋻2=⋰*⋻-11725","layer":2},{"info":"NaN⊭↱⋰*⋻-11725=NaN","layer":1},{"info":"↥NaN=NaN","layer":0}]}
{"id":810,"expression_no_base_symbol":"((($4726$⨎$3698$)⩚⊴⇥($3257$⫥∨⫟$1527$))⩠)⪒(⊄⩳↩(($1723$⪨≂$7225$)↛⩡⫤))","expression":"(((⋰*⋻3607⨎⋰*⋻2862)⩚⊴⇥(⋰*⋻24A1⫥∨⫟⋰*⋻1169))⩠)⪒(⊄⩳↩((⋰*⋻1327⪨≂⋰*⋻5479)↛⩡⫤))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":33007,"operation_count":8,"complexity_ratio":4125.875,"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":4726,"base":11},"right_expr":{"type":"numeric_atoms","value":3698,"base":11}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3257,"base":11},"right_expr":{"type":"numeric_atoms","value":1527,"base":11}}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1723,"base":11},"right_expr":{"type":"numeric_atoms","value":7225,"base":11}}}}},"used_operators":["f6k1SAg4EE","sJAwomhLZr","NTOWxs364D","rJVOvQCfKK","KYD54nUTWz","8w2t5hMYqp","FU0Cs4j7VP","sdazOOVcIp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4726","layer":4},{"info":"number node, value=3698","layer":4},{"info":"compute binary expreesion, left_input=4726, right_input=3698, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3698","layer":3},{"info":"number node, value=3257","layer":4},{"info":"number node, value=1527","layer":4},{"info":"compute binary expreesion, left_input=3257, right_input=1527, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3698, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=nan","layer":1},{"info":"number node, value=1723","layer":4},{"info":"number node, value=7225","layer":4},{"info":"compute binary expreesion, left_input=1723, right_input=7225, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-10902","layer":3},{"info":"compute unary expreesion, input=-10902, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=1035","layer":2},{"info":"compute unary expreesion, input=1035, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3105","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-3105, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻3607⨎⋰*⋻2862)⩚⊴⇥(⋰*⋻24A1⫥∨⫟⋰*⋻1169))⩠)⪒(⊄⩳↩((⋰*⋻1327⪨≂⋰*⋻5479)↛⩡⫤))=NaN","reverse_text":"NaN=(((⋰*⋻3607⨎⋰*⋻2862)⩚⊴⇥(⋰*⋻24A1⫥∨⫟⋰*⋻1169))⩠)⪒(⊄⩳↩((⋰*⋻1327⪨≂⋰*⋻5479)↛⩡⫤))","cot":[{"info":"⋰*⋻3607⨎⋰*⋻2862=⋰*⋻2862","layer":3},{"info":"⋰*⋻24A1⫥∨⫟⋰*⋻1169=NaN","layer":3},{"info":"⋰*⋻2862⩚⊴⇥NaN=NaN","layer":2},{"info":"NaN⩠=NaN","layer":1},{"info":"⋰*⋻1327⪨≂⋰*⋻5479=⋰*⋻-8211","layer":3},{"info":"⋰*⋻-8211↛⩡⫤=⋰*⋻861","layer":2},{"info":"⊄⩳↩⋰*⋻861=⋰*⋻-2373","layer":1},{"info":"NaN⪒⋰*⋻-2373=NaN","layer":0}]}
{"id":811,"expression_no_base_symbol":"(($1805$≭$1639$)⪘⫢($1109$∲⫓$2404$)⩤)⨪↰⇹((∂$8448$)↬($2659$*$6307$)⊭↱($3825$⪐)⨎$1027$+⇶⊼$5244$)","expression":"((⋰*⋻13A1≭⋰*⋻1260)⪘⫢(⋰*⋻919∲⫓⋰*⋻1896)⩤)⨪↰⇹((∂⋰*⋻6390)↬(⋰*⋻1AA8*⋰*⋻4814)⊭↱(⋰*⋻2968⪐)⨎⋰*⋻854+⇶⊼⋰*⋻3A38)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2685,"operation_count":12,"complexity_ratio":223.75,"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":1805,"base":11},"right_expr":{"type":"numeric_atoms","value":1639,"base":11}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1109,"base":11},"right_expr":{"type":"numeric_atoms","value":2404,"base":11}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":8448,"base":11}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2659,"base":11},"right_expr":{"type":"numeric_atoms","value":6307,"base":11}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":3825,"base":11}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1027,"base":11},"right_expr":{"type":"numeric_atoms","value":5244,"base":11}}}}},"used_operators":["tmPS8pqC7x","Z2TMIBDE3Q","oacrs7FA3X","rxpJgHHUmx","i8ToyICDmI","COABgblf1C","B5M0gjZbta","Uaa54Peajs","9HNa5Wba9A","rJVOvQCfKK","eH2TOUuTDT","TpPTUOHfaN"],"dependent_operators":["rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1805","layer":4},{"info":"number node, value=1639","layer":4},{"info":"compute binary expreesion, left_input=1805, right_input=1639, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=1109","layer":4},{"info":"number node, value=2404","layer":4},{"info":"compute binary expreesion, left_input=1109, right_input=2404, 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 = 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 = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=nan","layer":1},{"info":"number node, value=8448","layer":4},{"info":"compute unary expreesion, input=8448, 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=2659","layer":4},{"info":"number node, value=6307","layer":4},{"info":"compute binary expreesion, left_input=2659, right_input=6307, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=16770313","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=16770313, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=3825","layer":4},{"info":"compute unary expreesion, input=3825, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=7650","layer":3},{"info":"number node, value=1027","layer":4},{"info":"number node, value=5244","layer":4},{"info":"compute binary expreesion, left_input=1027, right_input=5244, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=7650, 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 = 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 = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻13A1≭⋰*⋻1260)⪘⫢(⋰*⋻919∲⫓⋰*⋻1896)⩤)⨪↰⇹((∂⋰*⋻6390)↬(⋰*⋻1AA8*⋰*⋻4814)⊭↱(⋰*⋻2968⪐)⨎⋰*⋻854+⇶⊼⋰*⋻3A38)=NaN","reverse_text":"NaN=((⋰*⋻13A1≭⋰*⋻1260)⪘⫢(⋰*⋻919∲⫓⋰*⋻1896)⩤)⨪↰⇹((∂⋰*⋻6390)↬(⋰*⋻1AA8*⋰*⋻4814)⊭↱(⋰*⋻2968⪐)⨎⋰*⋻854+⇶⊼⋰*⋻3A38)","cot":[{"info":"⋰*⋻13A1≭⋰*⋻1260=NaN","layer":3},{"info":"⋰*⋻919∲⫓⋰*⋻1896=⋰*⋻0","layer":3},{"info":"NaN⪘⫢⋰*⋻0=NaN","layer":2},{"info":"NaN⩤=NaN","layer":1},{"info":"∂⋰*⋻6390=NaN","layer":3},{"info":"⋰*⋻1AA8*⋰*⋻4814=⋰*⋻951486A","layer":3},{"info":"NaN↬⋰*⋻951486A=NaN","layer":2},{"info":"⋰*⋻2968⪐=⋰*⋻5825","layer":3},{"info":"⋰*⋻854+⇶⊼⋰*⋻3A38=NaN","layer":3},{"info":"⋰*⋻5825⨎NaN=NaN","layer":2},{"info":"NaN⊭↱NaN=NaN","layer":1},{"info":"NaN⨪↰⇹NaN=NaN","layer":0}]}
{"id":812,"expression_no_base_symbol":"⊥($7409$⫡⨏$7224$⋷$2893$⨓$3318$)⪮%⊝($8311$⨸⪁$4778$⊉≛↸($4170$-$2521$))","expression":"⊥(⋰*⋻5626⫡⨏⋰*⋻5478⋷⋰*⋻21A0⨓⋰*⋻2547)⪮%⊝(⋰*⋻6276⨸⪁⋰*⋻3654⊉≛↸(⋰*⋻3151-⋰*⋻1992))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3350,"operation_count":8,"complexity_ratio":418.75,"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":7409,"base":11},"right_expr":{"type":"numeric_atoms","value":7224,"base":11}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2893,"base":11},"right_expr":{"type":"numeric_atoms","value":3318,"base":11}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":8311,"base":11},"right_expr":{"type":"numeric_atoms","value":4778,"base":11}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4170,"base":11},"right_expr":{"type":"numeric_atoms","value":2521,"base":11}}}}},"used_operators":["Q3PJZHRvZv","IWmyXbctLI","23Mk6UjR3U","QMFrweE19q","3ViojmjbAp","DZ8iAZOCBD","g55IO6H4Gj","rysDP5nf3Z"],"dependent_operators":["fu6greOZ01","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7409","layer":4},{"info":"number node, value=7224","layer":4},{"info":"compute binary expreesion, left_input=7409, right_input=7224, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=52276","layer":3},{"info":"number node, value=2893","layer":4},{"info":"number node, value=3318","layer":4},{"info":"compute binary expreesion, left_input=2893, right_input=3318, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3321","layer":3},{"info":"compute binary expreesion, left_input=52276, right_input=-3321, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-58918","layer":2},{"info":"number node, value=8311","layer":4},{"info":"number node, value=4778","layer":4},{"info":"compute binary expreesion, left_input=8311, right_input=4778, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=26178","layer":3},{"info":"number node, value=4170","layer":4},{"info":"number node, value=2521","layer":4},{"info":"compute binary expreesion, left_input=4170, right_input=2521, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1649","layer":3},{"info":"compute binary expreesion, left_input=26178, right_input=1649, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=52356","layer":2},{"info":"compute binary expreesion, left_input=-58918, right_input=52356, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-117520","layer":1},{"info":"compute unary expreesion, input=-117520, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⊥(⋰*⋻5626⫡⨏⋰*⋻5478⋷⋰*⋻21A0⨓⋰*⋻2547)⪮%⊝(⋰*⋻6276⨸⪁⋰*⋻3654⊉≛↸(⋰*⋻3151-⋰*⋻1992))=NaN","reverse_text":"NaN=⊥(⋰*⋻5626⫡⨏⋰*⋻5478⋷⋰*⋻21A0⨓⋰*⋻2547)⪮%⊝(⋰*⋻6276⨸⪁⋰*⋻3654⊉≛↸(⋰*⋻3151-⋰*⋻1992))","cot":[{"info":"⋰*⋻5626⫡⨏⋰*⋻5478=⋰*⋻36304","layer":3},{"info":"⋰*⋻21A0⨓⋰*⋻2547=⋰*⋻-254A","layer":3},{"info":"⋰*⋻36304⋷⋰*⋻-254A=⋰*⋻-402A2","layer":2},{"info":"⋰*⋻6276⨸⪁⋰*⋻3654=⋰*⋻18739","layer":3},{"info":"⋰*⋻3151-⋰*⋻1992=⋰*⋻126A","layer":3},{"info":"⋰*⋻18739⊉≛↸⋰*⋻126A=⋰*⋻36377","layer":2},{"info":"⋰*⋻-402A2⪮%⊝⋰*⋻36377=⋰*⋻-80327","layer":1},{"info":"⊥⋰*⋻-80327=NaN","layer":0}]}
{"id":813,"expression_no_base_symbol":"(⇁⨣⪵((⨞⊢$4568$)↪⪝))≹⇙⪍(($3324$⫸⊐$1200$)+⇶⊼($4203$≣⋋)⫡⨏(+⊝⨔($1638$⪒$3671$)))","expression":"(⇁⨣⪵((⨞⊢⋰*⋻3483)↪⪝))≹⇙⪍((⋰*⋻2552⫸⊐⋰*⋻9A1)+⇶⊼(⋰*⋻3181≣⋋)⫡⨏(+⊝⨔(⋰*⋻125A⪒⋰*⋻2838)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1273,"operation_count":10,"complexity_ratio":127.3,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":4568,"base":11}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3324,"base":11},"right_expr":{"type":"numeric_atoms","value":1200,"base":11}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":4203,"base":11}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1638,"base":11},"right_expr":{"type":"numeric_atoms","value":3671,"base":11}}}}},"used_operators":["AHs5Up7iyr","inkyxCbjAn","l07mrZUIn9","xUOZtlo3hN","QMFrweE19q","TpPTUOHfaN","mqXw5SEYmG","Tcnh7f0tEr","DhbWaqg5eL","f6k1SAg4EE"],"dependent_operators":["dWAJyo7jo9","B5M0gjZbta","9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4568","layer":4},{"info":"compute unary expreesion, input=4568, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-4742","layer":3},{"info":"compute unary expreesion, input=-4742, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=-290125044","layer":2},{"info":"compute unary expreesion, input=-290125044, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"number node, value=3324","layer":4},{"info":"number node, value=1200","layer":4},{"info":"compute binary expreesion, left_input=3324, right_input=1200, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4675","layer":3},{"info":"number node, value=4203","layer":4},{"info":"compute unary expreesion, input=4203, 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=4675, 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=1638","layer":4},{"info":"number node, value=3671","layer":4},{"info":"compute binary expreesion, left_input=1638, right_input=3671, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5309","layer":3},{"info":"compute unary expreesion, input=-5309, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=1522, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=3827","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3827, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⇁⨣⪵((⨞⊢⋰*⋻3483)↪⪝))≹⇙⪍((⋰*⋻2552⫸⊐⋰*⋻9A1)+⇶⊼(⋰*⋻3181≣⋋)⫡⨏(+⊝⨔(⋰*⋻125A⪒⋰*⋻2838)))=NaN","reverse_text":"NaN=(⇁⨣⪵((⨞⊢⋰*⋻3483)↪⪝))≹⇙⪍((⋰*⋻2552⫸⊐⋰*⋻9A1)+⇶⊼(⋰*⋻3181≣⋋)⫡⨏(+⊝⨔(⋰*⋻125A⪒⋰*⋻2838)))","cot":[{"info":"⨞⊢⋰*⋻3483=⋰*⋻-3621","layer":3},{"info":"⋰*⋻-3621↪⪝=⋰*⋻-13984A270","layer":2},{"info":"⇁⨣⪵⋰*⋻-13984A270=NaN","layer":1},{"info":"⋰*⋻2552⫸⊐⋰*⋻9A1=⋰*⋻3570","layer":3},{"info":"⋰*⋻3181≣⋋=⋰*⋻0","layer":3},{"info":"⋰*⋻3570+⇶⊼⋰*⋻0=⋰*⋻0","layer":2},{"info":"⋰*⋻125A⪒⋰*⋻2838=⋰*⋻-3A97","layer":3},{"info":"+⊝⨔⋰*⋻-3A97=⋰*⋻1164","layer":2},{"info":"⋰*⋻0⫡⨏⋰*⋻1164=⋰*⋻296A","layer":1},{"info":"NaN≹⇙⪍⋰*⋻296A=NaN","layer":0}]}
{"id":814,"expression_no_base_symbol":"((↩(≤/$8077$))⨐⩸⫘((⊥$2780$)⫸⊐(⪲⇎$1579$)))⪘⫢(≦∁(⫛⫱⨽$1883$)*(⇁⨣⪵$3755$))","expression":"((↩(≤/⋰*⋻6083))⨐⩸⫘((⊥⋰*⋻20A8)⫸⊐(⪲⇎⋰*⋻1206)))⪘⫢(≦∁(⫛⫱⨽⋰*⋻1462)*(⇁⨣⪵⋰*⋻2904))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1463,"operation_count":11,"complexity_ratio":133.0,"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":8077,"base":11}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":2780,"base":11}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1579,"base":11}}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1883,"base":11}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":3755,"base":11}}}}},"used_operators":["oacrs7FA3X","fu6greOZ01","jLgFTUHLKL","eLAdDNolq6","mqXw5SEYmG","Q3PJZHRvZv","XPYlsWDdGa","9ICcGScMcE","9HNa5Wba9A","DlLNRPXxWL","inkyxCbjAn"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","3ViojmjbAp","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","fu6greOZ01","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","rGHVDoGpnC","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=8077","layer":4},{"info":"compute unary expreesion, input=8077, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-7593","layer":3},{"info":"compute unary expreesion, input=-7593, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=32992","layer":2},{"info":"number node, value=2780","layer":4},{"info":"compute unary expreesion, input=2780, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=1579","layer":4},{"info":"compute unary expreesion, input=1579, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3158","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3158, 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=32992, 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=1883","layer":4},{"info":"compute unary expreesion, input=1883, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=3755","layer":4},{"info":"compute unary expreesion, input=3755, 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 = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=nan","layer":1},{"info":"compute 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":11,"result_base":11,"text":"((↩(≤/⋰*⋻6083))⨐⩸⫘((⊥⋰*⋻20A8)⫸⊐(⪲⇎⋰*⋻1206)))⪘⫢(≦∁(⫛⫱⨽⋰*⋻1462)*(⇁⨣⪵⋰*⋻2904))=NaN","reverse_text":"NaN=((↩(≤/⋰*⋻6083))⨐⩸⫘((⊥⋰*⋻20A8)⫸⊐(⪲⇎⋰*⋻1206)))⪘⫢(≦∁(⫛⫱⨽⋰*⋻1462)*(⇁⨣⪵⋰*⋻2904))","cot":[{"info":"≤/⋰*⋻6083=⋰*⋻-5783","layer":3},{"info":"↩⋰*⋻-5783=⋰*⋻22873","layer":2},{"info":"⊥⋰*⋻20A8=NaN","layer":3},{"info":"⪲⇎⋰*⋻1206=⋰*⋻2411","layer":3},{"info":"NaN⫸⊐⋰*⋻2411=NaN","layer":2},{"info":"⋰*⋻22873⨐⩸⫘NaN=NaN","layer":1},{"info":"⫛⫱⨽⋰*⋻1462=⋰*⋻0","layer":3},{"info":"⇁⨣⪵⋰*⋻2904=NaN","layer":3},{"info":"⋰*⋻0*NaN=NaN","layer":2},{"info":"≦∁NaN=NaN","layer":1},{"info":"NaN⪘⫢NaN=NaN","layer":0}]}
{"id":815,"expression_no_base_symbol":"⊙↵-((⊙↵-$3957$)⪄$5163$⨽$1275$⫡⨏($3476$⊴$1366$⨵⪆$2891$⨪↰⇹$4016$))","expression":"⊙↵-((⊙↵-⋰*⋻2A78)⪄⋰*⋻3974⨽⋰*⋻A5A⫡⨏(⋰*⋻2680⊴⋰*⋻1032⨵⪆⋰*⋻2199⨪↰⇹⋰*⋻3021))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":14810,"operation_count":8,"complexity_ratio":1851.25,"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":3957,"base":11}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":5163,"base":11},"right_expr":{"type":"numeric_atoms","value":1275,"base":11}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3476,"base":11},"right_expr":{"type":"numeric_atoms","value":1366,"base":11}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2891,"base":11},"right_expr":{"type":"numeric_atoms","value":4016,"base":11}}}}},"used_operators":["oWn0xqSxBt","QMFrweE19q","SUmda5xLS4","8HhzD0ZcuI","2DQ55sFlQl","Nsiff2A1zJ","tmPS8pqC7x"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rJVOvQCfKK"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3957","layer":4},{"info":"compute unary expreesion, input=3957, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=5163","layer":4},{"info":"number node, value=1275","layer":4},{"info":"compute binary expreesion, left_input=5163, right_input=1275, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-79972218","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=-79972218, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=319892931","layer":2},{"info":"number node, value=3476","layer":4},{"info":"number node, value=1366","layer":4},{"info":"compute binary expreesion, left_input=3476, right_input=1366, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=2891","layer":4},{"info":"number node, value=4016","layer":4},{"info":"compute binary expreesion, left_input=2891, right_input=4016, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2891","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2891, 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=319892931, right_input=160, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=1599465758","layer":1},{"info":"compute unary expreesion, input=1599465758, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":0}],"base":11,"result_base":11,"text":"⊙↵-((⊙↵-⋰*⋻2A78)⪄⋰*⋻3974⨽⋰*⋻A5A⫡⨏(⋰*⋻2680⊴⋰*⋻1032⨵⪆⋰*⋻2199⨪↰⇹⋰*⋻3021))=⋰*⋻0","reverse_text":"⋰*⋻0=⊙↵-((⊙↵-⋰*⋻2A78)⪄⋰*⋻3974⨽⋰*⋻A5A⫡⨏(⋰*⋻2680⊴⋰*⋻1032⨵⪆⋰*⋻2199⨪↰⇹⋰*⋻3021))","cot":[{"info":"⊙↵-⋰*⋻2A78=⋰*⋻-1","layer":3},{"info":"⋰*⋻3974⨽⋰*⋻A5A=⋰*⋻-41162347","layer":3},{"info":"⋰*⋻-1⪄⋰*⋻-41162347=⋰*⋻154631326","layer":2},{"info":"⋰*⋻2680⊴⋰*⋻1032=NaN","layer":3},{"info":"⋰*⋻2199⨪↰⇹⋰*⋻3021=⋰*⋻2199","layer":3},{"info":"NaN⨵⪆⋰*⋻2199=⋰*⋻136","layer":2},{"info":"⋰*⋻154631326⫡⨏⋰*⋻136=⋰*⋻750947330","layer":1},{"info":"⊙↵-⋰*⋻750947330=⋰*⋻0","layer":0}]}
{"id":816,"expression_no_base_symbol":"↩(($1755$⩚⊴⇥$1946$⪨≂(⨵≀≌$1508$))%(+⊝⨔$2892$)⩷∴(↯⪼$9335$))","expression":"↩((⋰*⋻1356⩚⊴⇥⋰*⋻150A⪨≂(⨵≀≌⋰*⋻1151))%(+⊝⨔⋰*⋻219A)⩷∴(↯⪼⋰*⋻7017))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":105,"operation_count":8,"complexity_ratio":13.125,"tree":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1755,"base":11},"right_expr":{"type":"numeric_atoms","value":1946,"base":11}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1508,"base":11}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2892,"base":11}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":9335,"base":11}}}}},"used_operators":["jLgFTUHLKL","k8jYdgA6NY","sdazOOVcIp","NTOWxs364D","srAu1WTS94","9FxExcQeMw","DhbWaqg5eL","8jW3W4yZS5"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"⋰*⋻-6A66","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1755","layer":4},{"info":"number node, value=1946","layer":4},{"info":"compute binary expreesion, left_input=1755, right_input=1946, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3822","layer":3},{"info":"number node, value=1508","layer":4},{"info":"compute unary expreesion, input=1508, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-4524","layer":3},{"info":"compute binary expreesion, left_input=-3822, right_input=-4524, op_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":2},{"info":"number node, value=2892","layer":4},{"info":"compute unary expreesion, input=2892, 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=9335","layer":4},{"info":"compute unary expreesion, input=9335, 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=1522, right_input=-21, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=3054","layer":2},{"info":"compute binary expreesion, left_input=1506, right_input=3054, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1506","layer":1},{"info":"compute unary expreesion, input=1506, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-9268","layer":0}],"base":11,"result_base":11,"text":"↩((⋰*⋻1356⩚⊴⇥⋰*⋻150A⪨≂(⨵≀≌⋰*⋻1151))%(+⊝⨔⋰*⋻219A)⩷∴(↯⪼⋰*⋻7017))=⋰*⋻-6A66","reverse_text":"⋰*⋻-6A66=↩((⋰*⋻1356⩚⊴⇥⋰*⋻150A⪨≂(⨵≀≌⋰*⋻1151))%(+⊝⨔⋰*⋻219A)⩷∴(↯⪼⋰*⋻7017))","cot":[{"info":"⋰*⋻1356⩚⊴⇥⋰*⋻150A=⋰*⋻-2965","layer":3},{"info":"⨵≀≌⋰*⋻1151=⋰*⋻-3443","layer":3},{"info":"⋰*⋻-2965⪨≂⋰*⋻-3443=⋰*⋻114A","layer":2},{"info":"+⊝⨔⋰*⋻219A=⋰*⋻1164","layer":3},{"info":"↯⪼⋰*⋻7017=⋰*⋻-1A","layer":3},{"info":"⋰*⋻1164⩷∴⋰*⋻-1A=⋰*⋻2327","layer":2},{"info":"⋰*⋻114A%⋰*⋻2327=⋰*⋻114A","layer":1},{"info":"↩⋰*⋻114A=⋰*⋻-6A66","layer":0}]}
{"id":817,"expression_no_base_symbol":"($1484$⩨$2649$⇼⇔∾(⇁⨣⪵$5697$)-($8447$≧⫂∧$3067$)⨓($6726$⨁⊸⫻))↺((⪲⇎$3356$)⩨($5792$∧)⊉≛↸($4158$⪨≂$4071$)⨐⩸⫘(⨞⊢$2702$))","expression":"(⋰*⋻112A⩨⋰*⋻1A99⇼⇔∾(⇁⨣⪵⋰*⋻430A)-(⋰*⋻638A≧⫂∧⋰*⋻2339)⨓(⋰*⋻5065⨁⊸⫻))↺((⪲⇎⋰*⋻2581)⩨(⋰*⋻4396∧)⊉≛↸(⋰*⋻3140⪨≂⋰*⋻3071)⨐⩸⫘(⨞⊢⋰*⋻2037))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":6766,"operation_count":15,"complexity_ratio":451.06666666666666,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1484,"base":11},"right_expr":{"type":"numeric_atoms","value":2649,"base":11}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":5697,"base":11}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":8447,"base":11},"right_expr":{"type":"numeric_atoms","value":3067,"base":11}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":6726,"base":11}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":3356,"base":11}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":5792,"base":11}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4158,"base":11},"right_expr":{"type":"numeric_atoms","value":4071,"base":11}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2702,"base":11}}}}},"used_operators":["7j4O788W3g","rysDP5nf3Z","tifHPKVTfV","2DlMacCsIx","inkyxCbjAn","3ViojmjbAp","Ph9nP6C5qx","glklzrTFfD","DZ8iAZOCBD","XPYlsWDdGa","z63VuFQld9","fu6greOZ01","sdazOOVcIp","xUOZtlo3hN"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","B5M0gjZbta","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1484","layer":4},{"info":"number node, value=2649","layer":4},{"info":"compute binary expreesion, left_input=1484, right_input=2649, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=5697","layer":4},{"info":"compute unary expreesion, input=5697, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"number node, value=8447","layer":4},{"info":"number node, value=3067","layer":4},{"info":"compute binary expreesion, left_input=8447, right_input=3067, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2594","layer":3},{"info":"number node, value=6726","layer":4},{"info":"compute unary expreesion, input=6726, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=6726","layer":3},{"info":"compute binary expreesion, left_input=2594, right_input=6726, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-6729","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-6729, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=3356","layer":4},{"info":"compute unary expreesion, input=3356, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=6712","layer":3},{"info":"number node, value=5792","layer":4},{"info":"compute unary expreesion, input=5792, 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=6712, 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=4158","layer":4},{"info":"number node, value=4071","layer":4},{"info":"compute binary expreesion, left_input=4158, right_input=4071, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=276","layer":3},{"info":"number node, value=2702","layer":4},{"info":"compute unary expreesion, input=2702, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2876","layer":3},{"info":"compute binary expreesion, left_input=276, right_input=-2876, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻112A⩨⋰*⋻1A99⇼⇔∾(⇁⨣⪵⋰*⋻430A)-(⋰*⋻638A≧⫂∧⋰*⋻2339)⨓(⋰*⋻5065⨁⊸⫻))↺((⪲⇎⋰*⋻2581)⩨(⋰*⋻4396∧)⊉≛↸(⋰*⋻3140⪨≂⋰*⋻3071)⨐⩸⫘(⨞⊢⋰*⋻2037))=NaN","reverse_text":"NaN=(⋰*⋻112A⩨⋰*⋻1A99⇼⇔∾(⇁⨣⪵⋰*⋻430A)-(⋰*⋻638A≧⫂∧⋰*⋻2339)⨓(⋰*⋻5065⨁⊸⫻))↺((⪲⇎⋰*⋻2581)⩨(⋰*⋻4396∧)⊉≛↸(⋰*⋻3140⪨≂⋰*⋻3071)⨐⩸⫘(⨞⊢⋰*⋻2037))","cot":[{"info":"⋰*⋻112A⩨⋰*⋻1A99=⋰*⋻-3","layer":3},{"info":"⇁⨣⪵⋰*⋻430A=NaN","layer":3},{"info":"⋰*⋻-3⇼⇔∾NaN=NaN","layer":2},{"info":"⋰*⋻638A≧⫂∧⋰*⋻2339=⋰*⋻1A49","layer":3},{"info":"⋰*⋻5065⨁⊸⫻=⋰*⋻5065","layer":3},{"info":"⋰*⋻1A49⨓⋰*⋻5065=⋰*⋻-5068","layer":2},{"info":"NaN-⋰*⋻-5068=NaN","layer":1},{"info":"⪲⇎⋰*⋻2581=⋰*⋻5052","layer":3},{"info":"⋰*⋻4396∧=NaN","layer":3},{"info":"⋰*⋻5052⩨NaN=NaN","layer":2},{"info":"⋰*⋻3140⪨≂⋰*⋻3071=⋰*⋻231","layer":3},{"info":"⨞⊢⋰*⋻2037=⋰*⋻-2185","layer":3},{"info":"⋰*⋻231⨐⩸⫘⋰*⋻-2185=NaN","layer":2},{"info":"NaN⊉≛↸NaN=NaN","layer":1},{"info":"NaN↺NaN=NaN","layer":0}]}
{"id":818,"expression_no_base_symbol":"($3326$↙$2264$)⩷∴$4754$⪢$1376$⋳⪒(-$2429$⩨$3828$)⪨≂(⨈⫕$7307$)↙$4276$⪛$3170$⫸⊐($4869$*$7306$⨸⪁(⫛⫱⨽$6475$))","expression":"(⋰*⋻2554↙⋰*⋻1779)⩷∴⋰*⋻3632⪢⋰*⋻1041⋳⪒(-⋰*⋻1909⩨⋰*⋻2970)⪨≂(⨈⫕⋰*⋻5543)↙⋰*⋻3238⪛⋰*⋻2422⫸⊐(⋰*⋻3727*⋰*⋻5542⨸⪁(⫛⫱⨽⋰*⋻4957))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":13384,"operation_count":14,"complexity_ratio":956.0,"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":3326,"base":11},"right_expr":{"type":"numeric_atoms","value":2264,"base":11}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4754,"base":11},"right_expr":{"type":"numeric_atoms","value":1376,"base":11}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2429,"base":11},"right_expr":{"type":"numeric_atoms","value":3828,"base":11}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":7307,"base":11}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":4276,"base":11},"right_expr":{"type":"numeric_atoms","value":3170,"base":11}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4869,"base":11},"right_expr":{"type":"numeric_atoms","value":7306,"base":11}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":6475,"base":11}}}}},"used_operators":["sdazOOVcIp","12rbrZMWeM","9FxExcQeMw","yyfyN0ffXY","dWAJyo7jo9","t8gj7n24qd","2DlMacCsIx","mqXw5SEYmG","megm06wKyl","uFcxV4UQCh","g55IO6H4Gj","9HNa5Wba9A","DlLNRPXxWL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","k8jYdgA6NY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","W4YGzv6Whe","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3326","layer":4},{"info":"number node, value=2264","layer":4},{"info":"compute binary expreesion, left_input=3326, right_input=2264, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-6792","layer":3},{"info":"number node, value=4754","layer":4},{"info":"number node, value=1376","layer":4},{"info":"compute binary expreesion, left_input=4754, right_input=1376, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=-6792, 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=2429","layer":4},{"info":"number node, value=3828","layer":4},{"info":"compute binary expreesion, left_input=2429, right_input=3828, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"compute unary expreesion, input=-3, op_id = t8gj7n24qd, unary_op_definition = 'None', output=3","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"number node, value=7307","layer":4},{"info":"compute unary expreesion, input=7307, 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=4276","layer":4},{"info":"number node, value=3170","layer":4},{"info":"compute binary expreesion, left_input=4276, right_input=3170, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1106","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=1106, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-21","layer":2},{"info":"number node, value=4869","layer":4},{"info":"number node, value=7306","layer":4},{"info":"compute binary expreesion, left_input=4869, right_input=7306, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=35572914","layer":3},{"info":"number node, value=6475","layer":4},{"info":"compute unary expreesion, input=6475, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=35572914, right_input=0, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=71145828","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=71145828, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=463","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=463, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻2554↙⋰*⋻1779)⩷∴⋰*⋻3632⪢⋰*⋻1041⋳⪒(-⋰*⋻1909⩨⋰*⋻2970)⪨≂(⨈⫕⋰*⋻5543)↙⋰*⋻3238⪛⋰*⋻2422⫸⊐(⋰*⋻3727*⋰*⋻5542⨸⪁(⫛⫱⨽⋰*⋻4957))=NaN","reverse_text":"NaN=(⋰*⋻2554↙⋰*⋻1779)⩷∴⋰*⋻3632⪢⋰*⋻1041⋳⪒(-⋰*⋻1909⩨⋰*⋻2970)⪨≂(⨈⫕⋰*⋻5543)↙⋰*⋻3238⪛⋰*⋻2422⫸⊐(⋰*⋻3727*⋰*⋻5542⨸⪁(⫛⫱⨽⋰*⋻4957))","cot":[{"info":"⋰*⋻2554↙⋰*⋻1779=⋰*⋻-5115","layer":3},{"info":"⋰*⋻3632⪢⋰*⋻1041=NaN","layer":3},{"info":"⋰*⋻-5115⩷∴NaN=NaN","layer":2},{"info":"⋰*⋻1909⩨⋰*⋻2970=⋰*⋻-3","layer":3},{"info":"-⋰*⋻-3=⋰*⋻3","layer":2},{"info":"NaN⋳⪒⋰*⋻3=NaN","layer":1},{"info":"⨈⫕⋰*⋻5543=⋰*⋻-1A","layer":3},{"info":"⋰*⋻3238⪛⋰*⋻2422=⋰*⋻916","layer":3},{"info":"⋰*⋻-1A↙⋰*⋻916=⋰*⋻-1A","layer":2},{"info":"⋰*⋻3727*⋰*⋻5542=⋰*⋻19097503","layer":3},{"info":"⫛⫱⨽⋰*⋻4957=⋰*⋻0","layer":3},{"info":"⋰*⋻19097503⨸⪁⋰*⋻0=⋰*⋻37183A06","layer":2},{"info":"⋰*⋻-1A⫸⊐⋰*⋻37183A06=⋰*⋻391","layer":1},{"info":"NaN⪨≂⋰*⋻391=NaN","layer":0}]}
{"id":819,"expression_no_base_symbol":"($2957$⨟⋌⩍$4513$⨰(⪲⇎$1292$)∲⫓(↥$7260$)⨰(⇁⨣⪵$1344$))⨰(($3272$%$2817$)⨟⋌⩍($2997$⊘))⪢(($1894$⨐⩸⫘$1931$)⨎$7130$≹⇙⪍$1008$)","expression":"(⋰*⋻2249⨟⋌⩍⋰*⋻3433⨰(⪲⇎⋰*⋻A75)∲⫓(↥⋰*⋻5500)⨰(⇁⨣⪵⋰*⋻1012))⨰((⋰*⋻2505%⋰*⋻2131)⨟⋌⩍(⋰*⋻2285⊘))⪢((⋰*⋻1472⨐⩸⫘⋰*⋻14A6)⨎⋰*⋻53A2≹⇙⪍⋰*⋻837)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":191,"operation_count":15,"complexity_ratio":12.733333333333333,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2957,"base":11},"right_expr":{"type":"numeric_atoms","value":4513,"base":11}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1292,"base":11}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":7260,"base":11}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1344,"base":11}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3272,"base":11},"right_expr":{"type":"numeric_atoms","value":2817,"base":11}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":2997,"base":11}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1894,"base":11},"right_expr":{"type":"numeric_atoms","value":1931,"base":11}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":7130,"base":11},"right_expr":{"type":"numeric_atoms","value":1008,"base":11}}}}},"used_operators":["eewbuw0ToL","i8ToyICDmI","rGHVDoGpnC","XPYlsWDdGa","A8NUZmVepG","inkyxCbjAn","dWAJyo7jo9","k8jYdgA6NY","gu96TGCTMs","rJVOvQCfKK","fu6greOZ01","AHs5Up7iyr"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","B5M0gjZbta","k8jYdgA6NY","rysDP5nf3Z","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","3ViojmjbAp","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2957","layer":4},{"info":"number node, value=4513","layer":4},{"info":"compute binary expreesion, left_input=2957, right_input=4513, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1292","layer":4},{"info":"compute unary expreesion, input=1292, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2584","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2584, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"number node, value=7260","layer":4},{"info":"compute unary expreesion, input=7260, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=18","layer":3},{"info":"number node, value=1344","layer":4},{"info":"compute unary expreesion, input=1344, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=18, 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 = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":1},{"info":"number node, value=3272","layer":4},{"info":"number node, value=2817","layer":4},{"info":"compute binary expreesion, left_input=3272, right_input=2817, op_id = k8jYdgA6NY binary_op_definition= 'None', output=455","layer":3},{"info":"number node, value=2997","layer":4},{"info":"compute unary expreesion, input=2997, 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=455, 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=455","layer":2},{"info":"number node, value=1894","layer":4},{"info":"number node, value=1931","layer":4},{"info":"compute binary expreesion, left_input=1894, right_input=1931, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=7130","layer":4},{"info":"number node, value=1008","layer":4},{"info":"compute binary expreesion, left_input=7130, right_input=1008, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=455, 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 = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻2249⨟⋌⩍⋰*⋻3433⨰(⪲⇎⋰*⋻A75)∲⫓(↥⋰*⋻5500)⨰(⇁⨣⪵⋰*⋻1012))⨰((⋰*⋻2505%⋰*⋻2131)⨟⋌⩍(⋰*⋻2285⊘))⪢((⋰*⋻1472⨐⩸⫘⋰*⋻14A6)⨎⋰*⋻53A2≹⇙⪍⋰*⋻837)=NaN","reverse_text":"NaN=(⋰*⋻2249⨟⋌⩍⋰*⋻3433⨰(⪲⇎⋰*⋻A75)∲⫓(↥⋰*⋻5500)⨰(⇁⨣⪵⋰*⋻1012))⨰((⋰*⋻2505%⋰*⋻2131)⨟⋌⩍(⋰*⋻2285⊘))⪢((⋰*⋻1472⨐⩸⫘⋰*⋻14A6)⨎⋰*⋻53A2≹⇙⪍⋰*⋻837)","cot":[{"info":"⋰*⋻2249⨟⋌⩍⋰*⋻3433=NaN","layer":3},{"info":"⪲⇎⋰*⋻A75=⋰*⋻1A3A","layer":3},{"info":"NaN⨰⋰*⋻1A3A=NaN","layer":2},{"info":"↥⋰*⋻5500=⋰*⋻17","layer":3},{"info":"⇁⨣⪵⋰*⋻1012=NaN","layer":3},{"info":"⋰*⋻17⨰NaN=NaN","layer":2},{"info":"NaN∲⫓NaN=NaN","layer":1},{"info":"⋰*⋻2505%⋰*⋻2131=⋰*⋻384","layer":3},{"info":"⋰*⋻2285⊘=⋰*⋻0","layer":3},{"info":"⋰*⋻384⨟⋌⩍⋰*⋻0=⋰*⋻384","layer":2},{"info":"⋰*⋻1472⨐⩸⫘⋰*⋻14A6=NaN","layer":3},{"info":"⋰*⋻53A2≹⇙⪍⋰*⋻837=NaN","layer":3},{"info":"NaN⨎NaN=NaN","layer":2},{"info":"⋰*⋻384⪢NaN=NaN","layer":1},{"info":"NaN⨰NaN=NaN","layer":0}]}
{"id":820,"expression_no_base_symbol":"(($2366$⨵⪆$1754$)∲⫓$1101$⨓$4486$)⩚⊴⇥(≉$2113$⫸⊐$1361$)⩚⊴⇥((($4398$≎⊠⪸$5484$)≦≮≮)≭(∥⊫($1333$-$4705$)))","expression":"((⋰*⋻1861⨵⪆⋰*⋻1355)∲⫓⋰*⋻911⨓⋰*⋻3409)⩚⊴⇥(≉⋰*⋻1651⫸⊐⋰*⋻1028)⩚⊴⇥(((⋰*⋻3339≎⊠⪸⋰*⋻4136)≦≮≮)≭(∥⊫(⋰*⋻1002-⋰*⋻3598)))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1763642,"operation_count":12,"complexity_ratio":146970.16666666666,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2366,"base":11},"right_expr":{"type":"numeric_atoms","value":1754,"base":11}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1101,"base":11},"right_expr":{"type":"numeric_atoms","value":4486,"base":11}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2113,"base":11},"right_expr":{"type":"numeric_atoms","value":1361,"base":11}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4398,"base":11},"right_expr":{"type":"numeric_atoms","value":5484,"base":11}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1333,"base":11},"right_expr":{"type":"numeric_atoms","value":4705,"base":11}}}}},"used_operators":["NTOWxs364D","i8ToyICDmI","2DQ55sFlQl","3ViojmjbAp","e1ybzncUwg","mqXw5SEYmG","rxpJgHHUmx","D4vGDi5EA2","bJkvcejdHO","P8v4zCKN1o","rysDP5nf3Z"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2366","layer":4},{"info":"number node, value=1754","layer":4},{"info":"compute binary expreesion, left_input=2366, right_input=1754, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1101","layer":4},{"info":"number node, value=4486","layer":4},{"info":"compute binary expreesion, left_input=1101, right_input=4486, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4489","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-4489, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=160","layer":2},{"info":"number node, value=2113","layer":4},{"info":"number node, value=1361","layer":4},{"info":"compute binary expreesion, left_input=2113, right_input=1361, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5319","layer":3},{"info":"compute unary expreesion, input=5319, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=5850","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=5850, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6131","layer":1},{"info":"number node, value=4398","layer":4},{"info":"number node, value=5484","layer":4},{"info":"compute binary expreesion, left_input=4398, right_input=5484, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1138609","layer":3},{"info":"compute unary expreesion, input=1138609, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-3415827","layer":2},{"info":"number node, value=1333","layer":4},{"info":"number node, value=4705","layer":4},{"info":"compute binary expreesion, left_input=1333, right_input=4705, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3372","layer":3},{"info":"compute unary expreesion, input=-3372, 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=-3415827, right_input=-55, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=-6131, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1861⨵⪆⋰*⋻1355)∲⫓⋰*⋻911⨓⋰*⋻3409)⩚⊴⇥(≉⋰*⋻1651⫸⊐⋰*⋻1028)⩚⊴⇥(((⋰*⋻3339≎⊠⪸⋰*⋻4136)≦≮≮)≭(∥⊫(⋰*⋻1002-⋰*⋻3598)))=NaN","reverse_text":"NaN=((⋰*⋻1861⨵⪆⋰*⋻1355)∲⫓⋰*⋻911⨓⋰*⋻3409)⩚⊴⇥(≉⋰*⋻1651⫸⊐⋰*⋻1028)⩚⊴⇥(((⋰*⋻3339≎⊠⪸⋰*⋻4136)≦≮≮)≭(∥⊫(⋰*⋻1002-⋰*⋻3598)))","cot":[{"info":"⋰*⋻1861⨵⪆⋰*⋻1355=⋰*⋻136","layer":3},{"info":"⋰*⋻911⨓⋰*⋻3409=⋰*⋻-3411","layer":3},{"info":"⋰*⋻136∲⫓⋰*⋻-3411=⋰*⋻136","layer":2},{"info":"⋰*⋻1651⫸⊐⋰*⋻1028=⋰*⋻3AA6","layer":3},{"info":"≉⋰*⋻3AA6=⋰*⋻4439","layer":2},{"info":"⋰*⋻136⩚⊴⇥⋰*⋻4439=⋰*⋻-4674","layer":1},{"info":"⋰*⋻3339≎⊠⪸⋰*⋻4136=⋰*⋻7084AA","layer":3},{"info":"⋰*⋻7084AA≦≮≮=⋰*⋻-1A233A8","layer":2},{"info":"⋰*⋻1002-⋰*⋻3598=⋰*⋻-2596","layer":3},{"info":"∥⊫⋰*⋻-2596=⋰*⋻-50","layer":2},{"info":"⋰*⋻-1A233A8≭⋰*⋻-50=NaN","layer":1},{"info":"⋰*⋻-4674⩚⊴⇥NaN=NaN","layer":0}]}
{"id":821,"expression_no_base_symbol":"↽≂((∥⊫$6501$⪛$1527$)⋷(($1338$⪐)⪨≂$4145$⨓$2400$))","expression":"↽≂((∥⊫⋰*⋻4980⪛⋰*⋻1169)⋷((⋰*⋻1007⪐)⪨≂⋰*⋻3129⨓⋰*⋻1892))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2430,"operation_count":7,"complexity_ratio":347.14285714285717,"tree":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":6501,"base":11},"right_expr":{"type":"numeric_atoms","value":1527,"base":11}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1338,"base":11}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":4145,"base":11},"right_expr":{"type":"numeric_atoms","value":2400,"base":11}}}}},"used_operators":["u6S6b8DprG","23Mk6UjR3U","P8v4zCKN1o","uFcxV4UQCh","sdazOOVcIp","eH2TOUuTDT","3ViojmjbAp"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"⋰*⋻-26A37","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6501","layer":4},{"info":"number node, value=1527","layer":4},{"info":"compute binary expreesion, left_input=6501, right_input=1527, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=393","layer":3},{"info":"compute unary expreesion, input=393, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=1261","layer":2},{"info":"number node, value=1338","layer":4},{"info":"compute unary expreesion, input=1338, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2676","layer":3},{"info":"number node, value=4145","layer":4},{"info":"number node, value=2400","layer":4},{"info":"compute binary expreesion, left_input=4145, right_input=2400, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2403","layer":3},{"info":"compute binary expreesion, left_input=2676, right_input=-2403, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=10260","layer":2},{"info":"compute binary expreesion, left_input=1261, right_input=10260, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=19259","layer":1},{"info":"compute unary expreesion, input=19259, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-38518","layer":0}],"base":11,"result_base":11,"text":"↽≂((∥⊫⋰*⋻4980⪛⋰*⋻1169)⋷((⋰*⋻1007⪐)⪨≂⋰*⋻3129⨓⋰*⋻1892))=⋰*⋻-26A37","reverse_text":"⋰*⋻-26A37=↽≂((∥⊫⋰*⋻4980⪛⋰*⋻1169)⋷((⋰*⋻1007⪐)⪨≂⋰*⋻3129⨓⋰*⋻1892))","cot":[{"info":"⋰*⋻4980⪛⋰*⋻1169=⋰*⋻328","layer":3},{"info":"∥⊫⋰*⋻328=⋰*⋻A47","layer":2},{"info":"⋰*⋻1007⪐=⋰*⋻2013","layer":3},{"info":"⋰*⋻3129⨓⋰*⋻1892=⋰*⋻-1895","layer":3},{"info":"⋰*⋻2013⪨≂⋰*⋻-1895=⋰*⋻7788","layer":2},{"info":"⋰*⋻A47⋷⋰*⋻7788=⋰*⋻13519","layer":1},{"info":"↽≂⋰*⋻13519=⋰*⋻-26A37","layer":0}]}
{"id":822,"expression_no_base_symbol":"($7547$≧⫂∧$1996$⨽($4172$⨳⩥⨓$1013$)⫡⨏(⊙↵-$2146$)⨰($2784$⋓$2126$))⪛($1269$≹⇙⪍$1945$⋷$4694$↙$3091$⫡⨏$6669$⪛$7903$↬(⫓⪴$1933$))","expression":"(⋰*⋻5741≧⫂∧⋰*⋻1555⨽(⋰*⋻3153⨳⩥⨓⋰*⋻841)⫡⨏(⊙↵-⋰*⋻1681)⨰(⋰*⋻2101⋓⋰*⋻1663))⪛(⋰*⋻A54≹⇙⪍⋰*⋻1509⋷⋰*⋻3588↙⋰*⋻2360⫡⨏⋰*⋻5013⪛⋰*⋻5A35↬(⫓⪴⋰*⋻14A8))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8800,"operation_count":15,"complexity_ratio":586.6666666666666,"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":7547,"base":11},"right_expr":{"type":"numeric_atoms","value":1996,"base":11}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4172,"base":11},"right_expr":{"type":"numeric_atoms","value":1013,"base":11}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2146,"base":11}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2784,"base":11},"right_expr":{"type":"numeric_atoms","value":2126,"base":11}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1269,"base":11},"right_expr":{"type":"numeric_atoms","value":1945,"base":11}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4694,"base":11},"right_expr":{"type":"numeric_atoms","value":3091,"base":11}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":6669,"base":11},"right_expr":{"type":"numeric_atoms","value":7903,"base":11}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1933,"base":11}}}}},"used_operators":["uFcxV4UQCh","QMFrweE19q","8HhzD0ZcuI","Ph9nP6C5qx","nCS4ZIUYfx","eewbuw0ToL","oWn0xqSxBt","T2fj7uvVaJ","23Mk6UjR3U","AHs5Up7iyr","yyfyN0ffXY","B5M0gjZbta","eLxqMNBOBk"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","tmPS8pqC7x","DpFCA1CohY","rGHVDoGpnC","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7547","layer":4},{"info":"number node, value=1996","layer":4},{"info":"compute binary expreesion, left_input=7547, right_input=1996, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1523","layer":3},{"info":"number node, value=4172","layer":4},{"info":"number node, value=1013","layer":4},{"info":"compute binary expreesion, left_input=4172, right_input=1013, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3159","layer":3},{"info":"compute binary expreesion, left_input=1523, right_input=-3159, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-6947796","layer":2},{"info":"number node, value=2146","layer":4},{"info":"compute unary expreesion, input=2146, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=2784","layer":4},{"info":"number node, value=2126","layer":4},{"info":"compute binary expreesion, left_input=2784, right_input=2126, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=0, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=9","layer":2},{"info":"compute binary expreesion, left_input=-6947796, right_input=9, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-34738179","layer":1},{"info":"number node, value=1269","layer":4},{"info":"number node, value=1945","layer":4},{"info":"compute binary expreesion, left_input=1269, right_input=1945, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=4694","layer":4},{"info":"number node, value=3091","layer":4},{"info":"compute binary expreesion, left_input=4694, right_input=3091, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-9273","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-9273, 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=6669","layer":4},{"info":"number node, value=7903","layer":4},{"info":"compute binary expreesion, left_input=6669, right_input=7903, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=6669","layer":3},{"info":"number node, value=1933","layer":4},{"info":"compute unary expreesion, input=1933, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=3736489","layer":3},{"info":"compute binary expreesion, left_input=6669, right_input=3736489, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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":"compute binary expreesion, left_input=-34738179, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻5741≧⫂∧⋰*⋻1555⨽(⋰*⋻3153⨳⩥⨓⋰*⋻841)⫡⨏(⊙↵-⋰*⋻1681)⨰(⋰*⋻2101⋓⋰*⋻1663))⪛(⋰*⋻A54≹⇙⪍⋰*⋻1509⋷⋰*⋻3588↙⋰*⋻2360⫡⨏⋰*⋻5013⪛⋰*⋻5A35↬(⫓⪴⋰*⋻14A8))=NaN","reverse_text":"NaN=(⋰*⋻5741≧⫂∧⋰*⋻1555⨽(⋰*⋻3153⨳⩥⨓⋰*⋻841)⫡⨏(⊙↵-⋰*⋻1681)⨰(⋰*⋻2101⋓⋰*⋻1663))⪛(⋰*⋻A54≹⇙⪍⋰*⋻1509⋷⋰*⋻3588↙⋰*⋻2360⫡⨏⋰*⋻5013⪛⋰*⋻5A35↬(⫓⪴⋰*⋻14A8))","cot":[{"info":"⋰*⋻5741≧⫂∧⋰*⋻1555=⋰*⋻1165","layer":3},{"info":"⋰*⋻3153⨳⩥⨓⋰*⋻841=⋰*⋻-2412","layer":3},{"info":"⋰*⋻1165⨽⋰*⋻-2412=⋰*⋻-3A15A89","layer":2},{"info":"⊙↵-⋰*⋻1681=⋰*⋻-1","layer":3},{"info":"⋰*⋻2101⋓⋰*⋻1663=⋰*⋻0","layer":3},{"info":"⋰*⋻-1⨰⋰*⋻0=⋰*⋻9","layer":2},{"info":"⋰*⋻-3A15A89⫡⨏⋰*⋻9=⋰*⋻-18677343","layer":1},{"info":"⋰*⋻A54≹⇙⪍⋰*⋻1509=NaN","layer":3},{"info":"⋰*⋻3588↙⋰*⋻2360=⋰*⋻-6A70","layer":3},{"info":"NaN⋷⋰*⋻-6A70=NaN","layer":2},{"info":"⋰*⋻5013⪛⋰*⋻5A35=⋰*⋻5013","layer":3},{"info":"⫓⪴⋰*⋻14A8=⋰*⋻2122309","layer":3},{"info":"⋰*⋻5013↬⋰*⋻2122309=NaN","layer":2},{"info":"NaN⫡⨏NaN=NaN","layer":1},{"info":"⋰*⋻-18677343⪛NaN=NaN","layer":0}]}
{"id":823,"expression_no_base_symbol":"(((⊄⩳↩$3032$)⨸⪁$2638$⪛$1301$)⪄($1941$⨁⊸⫻)⪄($6998$∸))⫸⊐$2966$⨪↰⇹$2263$⨐⩸⫘($1375$↺$5764$)⪄(($2935$+⇶⊼$5268$)≫≃)","expression":"(((⊄⩳↩⋰*⋻2307)⨸⪁⋰*⋻1A89⪛⋰*⋻A83)⪄(⋰*⋻1505⨁⊸⫻)⪄(⋰*⋻5292∸))⫸⊐⋰*⋻2257⨪↰⇹⋰*⋻1778⨐⩸⫘(⋰*⋻1040↺⋰*⋻4370)⪄((⋰*⋻2229+⇶⊼⋰*⋻3A5A)≫≃)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3398,"operation_count":14,"complexity_ratio":242.71428571428572,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":3032,"base":11}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2638,"base":11},"right_expr":{"type":"numeric_atoms","value":1301,"base":11}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1941,"base":11}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":6998,"base":11}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2966,"base":11},"right_expr":{"type":"numeric_atoms","value":2263,"base":11}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1375,"base":11},"right_expr":{"type":"numeric_atoms","value":5764,"base":11}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2935,"base":11},"right_expr":{"type":"numeric_atoms","value":5268,"base":11}}}}},"used_operators":["mqXw5SEYmG","SUmda5xLS4","g55IO6H4Gj","8w2t5hMYqp","uFcxV4UQCh","glklzrTFfD","o20kRiQErp","fu6greOZ01","tmPS8pqC7x","7j4O788W3g","X99M06cbEe","TpPTUOHfaN"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","tmPS8pqC7x","3ViojmjbAp","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","AHs5Up7iyr"],"result":"⋰*⋻10956","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3032","layer":4},{"info":"compute unary expreesion, input=3032, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-9096","layer":3},{"info":"number node, value=2638","layer":4},{"info":"number node, value=1301","layer":4},{"info":"compute binary expreesion, left_input=2638, right_input=1301, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=36","layer":3},{"info":"compute binary expreesion, left_input=-9096, right_input=36, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-18120","layer":2},{"info":"number node, value=1941","layer":4},{"info":"compute unary expreesion, input=1941, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1941","layer":3},{"info":"number node, value=6998","layer":4},{"info":"compute unary expreesion, input=6998, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=1941, right_input=177, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-284065","layer":2},{"info":"compute binary expreesion, left_input=-18120, right_input=-284065, 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=2966","layer":4},{"info":"number node, value=2263","layer":4},{"info":"compute binary expreesion, left_input=2966, right_input=2263, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2966","layer":3},{"info":"number node, value=1375","layer":4},{"info":"number node, value=5764","layer":4},{"info":"compute binary expreesion, left_input=1375, right_input=5764, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5764","layer":3},{"info":"compute binary expreesion, left_input=2966, right_input=5764, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=2935","layer":4},{"info":"number node, value=5268","layer":4},{"info":"compute binary expreesion, left_input=2935, right_input=5268, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=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=3979, 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=15791","layer":0}],"base":11,"result_base":11,"text":"(((⊄⩳↩⋰*⋻2307)⨸⪁⋰*⋻1A89⪛⋰*⋻A83)⪄(⋰*⋻1505⨁⊸⫻)⪄(⋰*⋻5292∸))⫸⊐⋰*⋻2257⨪↰⇹⋰*⋻1778⨐⩸⫘(⋰*⋻1040↺⋰*⋻4370)⪄((⋰*⋻2229+⇶⊼⋰*⋻3A5A)≫≃)=⋰*⋻10956","reverse_text":"⋰*⋻10956=(((⊄⩳↩⋰*⋻2307)⨸⪁⋰*⋻1A89⪛⋰*⋻A83)⪄(⋰*⋻1505⨁⊸⫻)⪄(⋰*⋻5292∸))⫸⊐⋰*⋻2257⨪↰⇹⋰*⋻1778⨐⩸⫘(⋰*⋻1040↺⋰*⋻4370)⪄((⋰*⋻2229+⇶⊼⋰*⋻3A5A)≫≃)","cot":[{"info":"⊄⩳↩⋰*⋻2307=⋰*⋻-691A","layer":3},{"info":"⋰*⋻1A89⪛⋰*⋻A83=⋰*⋻33","layer":3},{"info":"⋰*⋻-691A⨸⪁⋰*⋻33=⋰*⋻-12683","layer":2},{"info":"⋰*⋻1505⨁⊸⫻=⋰*⋻1505","layer":3},{"info":"⋰*⋻5292∸=⋰*⋻151","layer":3},{"info":"⋰*⋻1505⪄⋰*⋻151=⋰*⋻-184471","layer":2},{"info":"⋰*⋻-12683⪄⋰*⋻-184471=⋰*⋻2A98","layer":1},{"info":"⋰*⋻2257⨪↰⇹⋰*⋻1778=⋰*⋻2257","layer":3},{"info":"⋰*⋻1040↺⋰*⋻4370=⋰*⋻4370","layer":3},{"info":"⋰*⋻2257⨐⩸⫘⋰*⋻4370=NaN","layer":2},{"info":"⋰*⋻2229+⇶⊼⋰*⋻3A5A=NaN","layer":3},{"info":"NaN≫≃=NaN","layer":2},{"info":"NaN⪄NaN=⋰*⋻2A98","layer":1},{"info":"⋰*⋻2A98⫸⊐⋰*⋻2A98=⋰*⋻10956","layer":0}]}
{"id":824,"expression_no_base_symbol":"⋗⩬⋾(⇁⨣⪵$4079$⪢$1735$⋝⋈⪟$4740$⇷$2469$)","expression":"⋗⩬⋾(⇁⨣⪵⋰*⋻3079⪢⋰*⋻1338⋝⋈⪟⋰*⋻361A⇷⋰*⋻1945)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":78003,"operation_count":5,"complexity_ratio":15600.6,"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":4079,"base":11},"right_expr":{"type":"numeric_atoms","value":1735,"base":11}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4740,"base":11},"right_expr":{"type":"numeric_atoms","value":2469,"base":11}}}}},"used_operators":["DpFCA1CohY","inkyxCbjAn","2DDjHMKMc0","dWAJyo7jo9","mp7IySMOzn"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=4079","layer":4},{"info":"number node, value=1735","layer":4},{"info":"compute binary expreesion, left_input=4079, right_input=1735, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=4740","layer":4},{"info":"number node, value=2469","layer":4},{"info":"compute binary expreesion, left_input=4740, right_input=2469, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4938","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4938, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⋗⩬⋾(⇁⨣⪵⋰*⋻3079⪢⋰*⋻1338⋝⋈⪟⋰*⋻361A⇷⋰*⋻1945)=NaN","reverse_text":"NaN=⋗⩬⋾(⇁⨣⪵⋰*⋻3079⪢⋰*⋻1338⋝⋈⪟⋰*⋻361A⇷⋰*⋻1945)","cot":[{"info":"⋰*⋻3079⪢⋰*⋻1338=NaN","layer":3},{"info":"⋰*⋻361A⇷⋰*⋻1945=⋰*⋻378A","layer":3},{"info":"NaN⋝⋈⪟⋰*⋻378A=NaN","layer":2},{"info":"⇁⨣⪵NaN=NaN","layer":1},{"info":"⋗⩬⋾NaN=NaN","layer":0}]}
{"id":825,"expression_no_base_symbol":"((∥⊫($4518$/$8320$))⋫)⊴((⨞⊢$2481$)⋥≓≎$1333$⪛$1086$⫡⨏((⋗⩬⋾$3185$)⊘))","expression":"((∥⊫(⋰*⋻3438/⋰*⋻6284))⋫)⊴((⨞⊢⋰*⋻1956)⋥≓≎⋰*⋻1002⪛⋰*⋻8A8⫡⨏((⋗⩬⋾⋰*⋻2436)⊘))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2034,"operation_count":10,"complexity_ratio":203.4,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4518,"base":11},"right_expr":{"type":"numeric_atoms","value":8320,"base":11}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2481,"base":11}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1333,"base":11},"right_expr":{"type":"numeric_atoms","value":1086,"base":11}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":3185,"base":11}}}}},"used_operators":["Nsiff2A1zJ","JL8yIekQnl","P8v4zCKN1o","XhwjNDsVaA","QMFrweE19q","Qy55tPpLXF","xUOZtlo3hN","uFcxV4UQCh","gu96TGCTMs","DpFCA1CohY"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4518","layer":4},{"info":"number node, value=8320","layer":4},{"info":"compute binary expreesion, left_input=4518, right_input=8320, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=868","layer":2},{"info":"compute unary expreesion, input=868, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=868","layer":1},{"info":"number node, value=2481","layer":4},{"info":"compute unary expreesion, input=2481, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2655","layer":3},{"info":"number node, value=1333","layer":4},{"info":"number node, value=1086","layer":4},{"info":"compute binary expreesion, left_input=1333, right_input=1086, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=247","layer":3},{"info":"compute binary expreesion, left_input=-2655, right_input=247, 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=3185","layer":4},{"info":"compute unary expreesion, input=3185, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-9555","layer":3},{"info":"compute unary expreesion, input=-9555, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=67, 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=1116","layer":1},{"info":"compute binary expreesion, left_input=868, right_input=1116, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((∥⊫(⋰*⋻3438/⋰*⋻6284))⋫)⊴((⨞⊢⋰*⋻1956)⋥≓≎⋰*⋻1002⪛⋰*⋻8A8⫡⨏((⋗⩬⋾⋰*⋻2436)⊘))=NaN","reverse_text":"NaN=((∥⊫(⋰*⋻3438/⋰*⋻6284))⋫)⊴((⨞⊢⋰*⋻1956)⋥≓≎⋰*⋻1002⪛⋰*⋻8A8⫡⨏((⋗⩬⋾⋰*⋻2436)⊘))","cot":[{"info":"⋰*⋻3438/⋰*⋻6284=⋰*⋻0","layer":3},{"info":"∥⊫⋰*⋻0=⋰*⋻71A","layer":2},{"info":"⋰*⋻71A⋫=⋰*⋻71A","layer":1},{"info":"⨞⊢⋰*⋻1956=⋰*⋻-1AA4","layer":3},{"info":"⋰*⋻1002⪛⋰*⋻8A8=⋰*⋻205","layer":3},{"info":"⋰*⋻-1AA4⋥≓≎⋰*⋻205=⋰*⋻61","layer":2},{"info":"⋗⩬⋾⋰*⋻2436=⋰*⋻-71A7","layer":3},{"info":"⋰*⋻-71A7⊘=⋰*⋻-1","layer":2},{"info":"⋰*⋻61⫡⨏⋰*⋻-1=⋰*⋻925","layer":1},{"info":"⋰*⋻71A⊴⋰*⋻925=NaN","layer":0}]}
{"id":826,"expression_no_base_symbol":"($5089$⨎$2216$)⋓($2848$↛⩡⫤)⨳⩥⨓((⫓⪴$3588$)⫩⊇)*(⪝⪂⫅($1846$⊭↱$3203$))⨐⩸⫘(($4606$≫≃)%(⇁⨣⪵$1962$))","expression":"(⋰*⋻3907⨎⋰*⋻1735)⋓(⋰*⋻215A↛⩡⫤)⨳⩥⨓((⫓⪴⋰*⋻2772)⫩⊇)*(⪝⪂⫅(⋰*⋻1429⊭↱⋰*⋻2452))⨐⩸⫘((⋰*⋻3508≫≃)%(⇁⨣⪵⋰*⋻1524))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":12452,"operation_count":13,"complexity_ratio":957.8461538461538,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5089,"base":11},"right_expr":{"type":"numeric_atoms","value":2216,"base":11}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":2848,"base":11}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":3588,"base":11}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1846,"base":11},"right_expr":{"type":"numeric_atoms","value":3203,"base":11}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":4606,"base":11}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1962,"base":11}}}}},"used_operators":["9HNa5Wba9A","nCS4ZIUYfx","T2fj7uvVaJ","rJVOvQCfKK","FU0Cs4j7VP","BjRHVeLaeN","eLxqMNBOBk","fu6greOZ01","XTarYq4gQB","COABgblf1C","k8jYdgA6NY","X99M06cbEe","inkyxCbjAn"],"dependent_operators":["W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","3ViojmjbAp","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5089","layer":4},{"info":"number node, value=2216","layer":4},{"info":"compute binary expreesion, left_input=5089, right_input=2216, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2216","layer":3},{"info":"number node, value=2848","layer":4},{"info":"compute unary expreesion, input=2848, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-426137","layer":3},{"info":"compute binary expreesion, left_input=2216, right_input=-426137, op_id = T2fj7uvVaJ binary_op_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=3588","layer":4},{"info":"compute unary expreesion, input=3588, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=12873744","layer":3},{"info":"compute unary expreesion, input=12873744, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-12873702","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-12873702, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-12873702","layer":1},{"info":"number node, value=1846","layer":4},{"info":"number node, value=3203","layer":4},{"info":"compute binary expreesion, left_input=1846, right_input=3203, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=2719","layer":3},{"info":"compute unary expreesion, input=2719, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-399693","layer":2},{"info":"number node, value=4606","layer":4},{"info":"compute unary expreesion, input=4606, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=10613","layer":3},{"info":"number node, value=1962","layer":4},{"info":"compute unary expreesion, input=1962, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=10613, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-399693, 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=-12873702, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻3907⨎⋰*⋻1735)⋓(⋰*⋻215A↛⩡⫤)⨳⩥⨓((⫓⪴⋰*⋻2772)⫩⊇)*(⪝⪂⫅(⋰*⋻1429⊭↱⋰*⋻2452))⨐⩸⫘((⋰*⋻3508≫≃)%(⇁⨣⪵⋰*⋻1524))=NaN","reverse_text":"NaN=(⋰*⋻3907⨎⋰*⋻1735)⋓(⋰*⋻215A↛⩡⫤)⨳⩥⨓((⫓⪴⋰*⋻2772)⫩⊇)*(⪝⪂⫅(⋰*⋻1429⊭↱⋰*⋻2452))⨐⩸⫘((⋰*⋻3508≫≃)%(⇁⨣⪵⋰*⋻1524))","cot":[{"info":"⋰*⋻3907⨎⋰*⋻1735=⋰*⋻1735","layer":3},{"info":"⋰*⋻215A↛⩡⫤=⋰*⋻-271188","layer":3},{"info":"⋰*⋻1735⋓⋰*⋻-271188=⋰*⋻0","layer":2},{"info":"⫓⪴⋰*⋻2772=⋰*⋻72A3264","layer":3},{"info":"⋰*⋻72A3264⫩⊇=⋰*⋻-72A3226","layer":2},{"info":"⋰*⋻0⨳⩥⨓⋰*⋻-72A3226=⋰*⋻-72A3226","layer":1},{"info":"⋰*⋻1429⊭↱⋰*⋻2452=⋰*⋻2052","layer":3},{"info":"⪝⪂⫅⋰*⋻2052=⋰*⋻-253328","layer":2},{"info":"⋰*⋻3508≫≃=⋰*⋻7A79","layer":3},{"info":"⇁⨣⪵⋰*⋻1524=NaN","layer":3},{"info":"⋰*⋻7A79%NaN=NaN","layer":2},{"info":"⋰*⋻-253328⨐⩸⫘NaN=NaN","layer":1},{"info":"⋰*⋻-72A3226*NaN=NaN","layer":0}]}
{"id":827,"expression_no_base_symbol":"↥((∂($2022$⪄$1066$))↙($4111$⨐⩸⫘$1158$)⪘⫢$3754$⪛$1309$)","expression":"↥((∂(⋰*⋻1579⪄⋰*⋻88A))↙(⋰*⋻30A8⨐⩸⫘⋰*⋻963)⪘⫢⋰*⋻2903⪛⋰*⋻A90)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":532,"operation_count":7,"complexity_ratio":76.0,"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":2022,"base":11},"right_expr":{"type":"numeric_atoms","value":1066,"base":11}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4111,"base":11},"right_expr":{"type":"numeric_atoms","value":1158,"base":11}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3754,"base":11},"right_expr":{"type":"numeric_atoms","value":1309,"base":11}}}}},"used_operators":["A8NUZmVepG","yyfyN0ffXY","Uaa54Peajs","SUmda5xLS4","oacrs7FA3X","fu6greOZ01","uFcxV4UQCh"],"dependent_operators":["k8jYdgA6NY","tmPS8pqC7x","DpFCA1CohY","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","3ViojmjbAp","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2022","layer":4},{"info":"number node, value=1066","layer":4},{"info":"compute binary expreesion, left_input=2022, right_input=1066, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-299609","layer":3},{"info":"compute unary expreesion, input=-299609, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=299345","layer":2},{"info":"number node, value=4111","layer":4},{"info":"number node, value=1158","layer":4},{"info":"compute binary expreesion, left_input=4111, right_input=1158, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=3754","layer":4},{"info":"number node, value=1309","layer":4},{"info":"compute binary expreesion, left_input=3754, right_input=1309, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1136","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1136, 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=299345, 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 = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"↥((∂(⋰*⋻1579⪄⋰*⋻88A))↙(⋰*⋻30A8⨐⩸⫘⋰*⋻963)⪘⫢⋰*⋻2903⪛⋰*⋻A90)=NaN","reverse_text":"NaN=↥((∂(⋰*⋻1579⪄⋰*⋻88A))↙(⋰*⋻30A8⨐⩸⫘⋰*⋻963)⪘⫢⋰*⋻2903⪛⋰*⋻A90)","cot":[{"info":"⋰*⋻1579⪄⋰*⋻88A=⋰*⋻-195112","layer":3},{"info":"∂⋰*⋻-195112=⋰*⋻1949A2","layer":2},{"info":"⋰*⋻30A8⨐⩸⫘⋰*⋻963=NaN","layer":3},{"info":"⋰*⋻2903⪛⋰*⋻A90=⋰*⋻943","layer":3},{"info":"NaN⪘⫢⋰*⋻943=NaN","layer":2},{"info":"⋰*⋻1949A2↙NaN=NaN","layer":1},{"info":"↥NaN=NaN","layer":0}]}
{"id":828,"expression_no_base_symbol":"⨈⫕$3746$↬$1319$∑⇟⊟($9281$⊘)≭(⩦⩻⨪($1614$∲⫓$3553$))","expression":"⨈⫕⋰*⋻28A6↬⋰*⋻A9A∑⇟⊟(⋰*⋻6A78⊘)≭(⩦⩻⨪(⋰*⋻1238∲⫓⋰*⋻2740))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":413,"operation_count":7,"complexity_ratio":59.0,"tree":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3746,"base":11},"right_expr":{"type":"numeric_atoms","value":1319,"base":11}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":9281,"base":11}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1614,"base":11},"right_expr":{"type":"numeric_atoms","value":3553,"base":11}}}}},"used_operators":["megm06wKyl","rxpJgHHUmx","U7g4x0WXJJ","B5M0gjZbta","gu96TGCTMs","2td37pGCOC","i8ToyICDmI"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","AHs5Up7iyr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rGHVDoGpnC","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻-1A","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=3746","layer":4},{"info":"number node, value=1319","layer":4},{"info":"compute binary expreesion, left_input=3746, right_input=1319, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=9281","layer":4},{"info":"compute unary expreesion, input=9281, 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 = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=1614","layer":4},{"info":"number node, value=3553","layer":4},{"info":"compute binary expreesion, left_input=1614, right_input=3553, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=0","layer":2},{"info":"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":1},{"info":"compute unary expreesion, input=-22, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":0}],"base":11,"result_base":11,"text":"⨈⫕⋰*⋻28A6↬⋰*⋻A9A∑⇟⊟(⋰*⋻6A78⊘)≭(⩦⩻⨪(⋰*⋻1238∲⫓⋰*⋻2740))=⋰*⋻-1A","reverse_text":"⋰*⋻-1A=⨈⫕⋰*⋻28A6↬⋰*⋻A9A∑⇟⊟(⋰*⋻6A78⊘)≭(⩦⩻⨪(⋰*⋻1238∲⫓⋰*⋻2740))","cot":[{"info":"⋰*⋻28A6↬⋰*⋻A9A=NaN","layer":3},{"info":"⋰*⋻6A78⊘=⋰*⋻0","layer":3},{"info":"NaN∑⇟⊟⋰*⋻0=NaN","layer":2},{"info":"⋰*⋻1238∲⫓⋰*⋻2740=⋰*⋻0","layer":3},{"info":"⩦⩻⨪⋰*⋻0=⋰*⋻0","layer":2},{"info":"NaN≭⋰*⋻0=⋰*⋻-20","layer":1},{"info":"⨈⫕⋰*⋻-20=⋰*⋻-1A","layer":0}]}
{"id":829,"expression_no_base_symbol":"(⇁⨣⪵(⩦⩻⨪$1480$)≧⫂∧($1810$⊘))⫌⩹⨱","expression":"(⇁⨣⪵(⩦⩻⨪⋰*⋻1126)≧⫂∧(⋰*⋻13A6⊘))⫌⩹⨱","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":31,"operation_count":5,"complexity_ratio":6.2,"tree":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1480,"base":11}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1810,"base":11}}}}},"used_operators":["EBcxylXtPf","inkyxCbjAn","Ph9nP6C5qx","2td37pGCOC","gu96TGCTMs"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=1480","layer":4},{"info":"compute unary expreesion, input=1480, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1480","layer":3},{"info":"number node, value=1810","layer":4},{"info":"compute unary expreesion, input=1810, 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=1480, 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 = 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":11,"result_base":11,"text":"(⇁⨣⪵(⩦⩻⨪⋰*⋻1126)≧⫂∧(⋰*⋻13A6⊘))⫌⩹⨱=NaN","reverse_text":"NaN=(⇁⨣⪵(⩦⩻⨪⋰*⋻1126)≧⫂∧(⋰*⋻13A6⊘))⫌⩹⨱","cot":[{"info":"⩦⩻⨪⋰*⋻1126=⋰*⋻1126","layer":3},{"info":"⋰*⋻13A6⊘=⋰*⋻0","layer":3},{"info":"⋰*⋻1126≧⫂∧⋰*⋻0=⋰*⋻-3A0","layer":2},{"info":"⇁⨣⪵⋰*⋻-3A0=NaN","layer":1},{"info":"NaN⫌⩹⨱=NaN","layer":0}]}
{"id":830,"expression_no_base_symbol":"(⨑⩽⪐$6529$)⇷($1594$≭$2719$)≧⫂∧($7629$⨸⪁$2623$⊉≛↸($6539$-$1828$))⋷($2305$⊭∹↮)⨸⪁$2656$≹⇙⪍$1163$%($5717$≋⫹)⊉≛↸(⨵≀≌$2999$)","expression":"(⨑⩽⪐⋰*⋻49A6)⇷(⋰*⋻121A≭⋰*⋻2052)≧⫂∧(⋰*⋻5806⨸⪁⋰*⋻1A75⊉≛↸(⋰*⋻4A05-⋰*⋻1412))⋷(⋰*⋻1806⊭∹↮)⨸⪁⋰*⋻1AA5≹⇙⪍⋰*⋻968%(⋰*⋻4328≋⫹)⊉≛↸(⨵≀≌⋰*⋻2287)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":87626,"operation_count":15,"complexity_ratio":5841.733333333334,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":6529,"base":11}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1594,"base":11},"right_expr":{"type":"numeric_atoms","value":2719,"base":11}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":7629,"base":11},"right_expr":{"type":"numeric_atoms","value":2623,"base":11}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":6539,"base":11},"right_expr":{"type":"numeric_atoms","value":1828,"base":11}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":2305,"base":11}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2656,"base":11},"right_expr":{"type":"numeric_atoms","value":1163,"base":11}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":5717,"base":11}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":2999,"base":11}}}}},"used_operators":["23Mk6UjR3U","Ph9nP6C5qx","mp7IySMOzn","AF7qkfDlqP","rxpJgHHUmx","DZ8iAZOCBD","g55IO6H4Gj","rysDP5nf3Z","k8jYdgA6NY","xNBdhnnwKq","AHs5Up7iyr","N41Kp7NANJ","srAu1WTS94"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6529","layer":4},{"info":"compute unary expreesion, input=6529, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-6256","layer":3},{"info":"number node, value=1594","layer":4},{"info":"number node, value=2719","layer":4},{"info":"compute binary expreesion, left_input=1594, right_input=2719, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=-6256, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"number node, value=7629","layer":4},{"info":"number node, value=2623","layer":4},{"info":"compute binary expreesion, left_input=7629, right_input=2623, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=20504","layer":3},{"info":"number node, value=6539","layer":4},{"info":"number node, value=1828","layer":4},{"info":"compute binary expreesion, left_input=6539, right_input=1828, op_id = rysDP5nf3Z binary_op_definition= 'None', output=4711","layer":3},{"info":"compute binary expreesion, left_input=20504, right_input=4711, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=41008","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=41008, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=40535","layer":1},{"info":"number node, value=2305","layer":4},{"info":"compute unary expreesion, input=2305, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=4610","layer":3},{"info":"number node, value=2656","layer":4},{"info":"number node, value=1163","layer":4},{"info":"compute binary expreesion, left_input=2656, right_input=1163, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=4610, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"number node, value=5717","layer":4},{"info":"compute unary expreesion, input=5717, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-11434","layer":3},{"info":"number node, value=2999","layer":4},{"info":"compute unary expreesion, input=2999, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-8997","layer":3},{"info":"compute binary expreesion, left_input=-11434, right_input=-8997, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=8997","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=8997, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=40535, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⨑⩽⪐⋰*⋻49A6)⇷(⋰*⋻121A≭⋰*⋻2052)≧⫂∧(⋰*⋻5806⨸⪁⋰*⋻1A75⊉≛↸(⋰*⋻4A05-⋰*⋻1412))⋷(⋰*⋻1806⊭∹↮)⨸⪁⋰*⋻1AA5≹⇙⪍⋰*⋻968%(⋰*⋻4328≋⫹)⊉≛↸(⨵≀≌⋰*⋻2287)=NaN","reverse_text":"NaN=(⨑⩽⪐⋰*⋻49A6)⇷(⋰*⋻121A≭⋰*⋻2052)≧⫂∧(⋰*⋻5806⨸⪁⋰*⋻1A75⊉≛↸(⋰*⋻4A05-⋰*⋻1412))⋷(⋰*⋻1806⊭∹↮)⨸⪁⋰*⋻1AA5≹⇙⪍⋰*⋻968%(⋰*⋻4328≋⫹)⊉≛↸(⨵≀≌⋰*⋻2287)","cot":[{"info":"⨑⩽⪐⋰*⋻49A6=⋰*⋻-4778","layer":3},{"info":"⋰*⋻121A≭⋰*⋻2052=NaN","layer":3},{"info":"⋰*⋻-4778⇷NaN=NaN","layer":2},{"info":"⋰*⋻5806⨸⪁⋰*⋻1A75=⋰*⋻14450","layer":3},{"info":"⋰*⋻4A05-⋰*⋻1412=⋰*⋻35A3","layer":3},{"info":"⋰*⋻14450⊉≛↸⋰*⋻35A3=⋰*⋻288A0","layer":2},{"info":"NaN≧⫂∧⋰*⋻288A0=⋰*⋻28500","layer":1},{"info":"⋰*⋻1806⊭∹↮=⋰*⋻3511","layer":3},{"info":"⋰*⋻1AA5≹⇙⪍⋰*⋻968=NaN","layer":3},{"info":"⋰*⋻3511⨸⪁NaN=NaN","layer":2},{"info":"⋰*⋻4328≋⫹=⋰*⋻-8655","layer":3},{"info":"⨵≀≌⋰*⋻2287=⋰*⋻-683A","layer":3},{"info":"⋰*⋻-8655⊉≛↸⋰*⋻-683A=⋰*⋻683A","layer":2},{"info":"NaN%⋰*⋻683A=NaN","layer":1},{"info":"⋰*⋻28500⋷NaN=NaN","layer":0}]}
{"id":831,"expression_no_base_symbol":"(⨑⩽⪐($2237$∲⫓$2048$))⋳⪒($6030$∀⇚≩$5003$)⨪↰⇹($1649$⨰$5672$)⊠≄⫣","expression":"(⨑⩽⪐(⋰*⋻1754∲⫓⋰*⋻15A2))⋳⪒(⋰*⋻4592∀⇚≩⋰*⋻3839)⨪↰⇹(⋰*⋻126A⨰⋰*⋻4297)⊠≄⫣","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":42236,"operation_count":7,"complexity_ratio":6033.714285714285,"tree":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2237,"base":11},"right_expr":{"type":"numeric_atoms","value":2048,"base":11}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":6030,"base":11},"right_expr":{"type":"numeric_atoms","value":5003,"base":11}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1649,"base":11},"right_expr":{"type":"numeric_atoms","value":5672,"base":11}}}}},"used_operators":["DIvbN7qnHd","12rbrZMWeM","AF7qkfDlqP","i8ToyICDmI","tmPS8pqC7x","LRNGc0VcxI","eewbuw0ToL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2237","layer":4},{"info":"number node, value=2048","layer":4},{"info":"compute binary expreesion, left_input=2237, right_input=2048, 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 = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=789","layer":2},{"info":"number node, value=6030","layer":4},{"info":"number node, value=5003","layer":4},{"info":"compute binary expreesion, left_input=6030, right_input=5003, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1649","layer":4},{"info":"number node, value=5672","layer":4},{"info":"compute binary expreesion, left_input=1649, right_input=5672, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-4013","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4013, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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=789, 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 = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⨑⩽⪐(⋰*⋻1754∲⫓⋰*⋻15A2))⋳⪒(⋰*⋻4592∀⇚≩⋰*⋻3839)⨪↰⇹(⋰*⋻126A⨰⋰*⋻4297)⊠≄⫣=NaN","reverse_text":"NaN=(⨑⩽⪐(⋰*⋻1754∲⫓⋰*⋻15A2))⋳⪒(⋰*⋻4592∀⇚≩⋰*⋻3839)⨪↰⇹(⋰*⋻126A⨰⋰*⋻4297)⊠≄⫣","cot":[{"info":"⋰*⋻1754∲⫓⋰*⋻15A2=⋰*⋻0","layer":3},{"info":"⨑⩽⪐⋰*⋻0=⋰*⋻658","layer":2},{"info":"⋰*⋻4592∀⇚≩⋰*⋻3839=NaN","layer":3},{"info":"⋰*⋻126A⨰⋰*⋻4297=⋰*⋻-3019","layer":3},{"info":"NaN⨪↰⇹⋰*⋻-3019=NaN","layer":2},{"info":"⋰*⋻658⋳⪒NaN=NaN","layer":1},{"info":"NaN⊠≄⫣=NaN","layer":0}]}
{"id":832,"expression_no_base_symbol":"($1357$⩨$4573$⩨$2972$⪮%⊝$1269$)⨓(($2360$⩨$2499$)≎⊠⪸(≉$2239$))⋷(($1116$⊭∹↮)⪢($1101$⨸⪁$4546$))≹⇙⪍(($1135$⨸⪁$1504$)⪠⩆⊳)","expression":"(⋰*⋻1024⩨⋰*⋻3488⩨⋰*⋻2262⪮%⊝⋰*⋻A54)⨓((⋰*⋻1856⩨⋰*⋻1972)≎⊠⪸(≉⋰*⋻1756))⋷((⋰*⋻925⊭∹↮)⪢(⋰*⋻911⨸⪁⋰*⋻3463))≹⇙⪍((⋰*⋻942⨸⪁⋰*⋻1148)⪠⩆⊳)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":12832,"operation_count":14,"complexity_ratio":916.5714285714286,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1357,"base":11},"right_expr":{"type":"numeric_atoms","value":4573,"base":11}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2972,"base":11},"right_expr":{"type":"numeric_atoms","value":1269,"base":11}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2360,"base":11},"right_expr":{"type":"numeric_atoms","value":2499,"base":11}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2239,"base":11}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1116,"base":11}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1101,"base":11},"right_expr":{"type":"numeric_atoms","value":4546,"base":11}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1135,"base":11},"right_expr":{"type":"numeric_atoms","value":1504,"base":11}}}}},"used_operators":["23Mk6UjR3U","3ViojmjbAp","2DlMacCsIx","IWmyXbctLI","bJkvcejdHO","e1ybzncUwg","AHs5Up7iyr","dWAJyo7jo9","xNBdhnnwKq","g55IO6H4Gj","JLbD19bQDL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","k8jYdgA6NY","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻1199","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1357","layer":4},{"info":"number node, value=4573","layer":4},{"info":"compute binary expreesion, left_input=1357, right_input=4573, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-9","layer":3},{"info":"number node, value=2972","layer":4},{"info":"number node, value=1269","layer":4},{"info":"compute binary expreesion, left_input=2972, right_input=1269, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6260","layer":3},{"info":"compute binary expreesion, left_input=-9, right_input=6260, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=2088","layer":2},{"info":"number node, value=2360","layer":4},{"info":"number node, value=2499","layer":4},{"info":"compute binary expreesion, left_input=2360, right_input=2499, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=2239","layer":4},{"info":"compute unary expreesion, input=2239, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2770","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=2770, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=777","layer":2},{"info":"compute binary expreesion, left_input=2088, right_input=777, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-780","layer":1},{"info":"number node, value=1116","layer":4},{"info":"compute unary expreesion, input=1116, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2232","layer":3},{"info":"number node, value=1101","layer":4},{"info":"number node, value=4546","layer":4},{"info":"compute binary expreesion, left_input=1101, right_input=4546, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=11294","layer":3},{"info":"compute binary expreesion, left_input=2232, right_input=11294, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1135","layer":4},{"info":"number node, value=1504","layer":4},{"info":"compute binary expreesion, left_input=1135, right_input=1504, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=5278","layer":3},{"info":"compute unary expreesion, input=5278, 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 = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=-780, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1560","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1024⩨⋰*⋻3488⩨⋰*⋻2262⪮%⊝⋰*⋻A54)⨓((⋰*⋻1856⩨⋰*⋻1972)≎⊠⪸(≉⋰*⋻1756))⋷((⋰*⋻925⊭∹↮)⪢(⋰*⋻911⨸⪁⋰*⋻3463))≹⇙⪍((⋰*⋻942⨸⪁⋰*⋻1148)⪠⩆⊳)=⋰*⋻1199","reverse_text":"⋰*⋻1199=(⋰*⋻1024⩨⋰*⋻3488⩨⋰*⋻2262⪮%⊝⋰*⋻A54)⨓((⋰*⋻1856⩨⋰*⋻1972)≎⊠⪸(≉⋰*⋻1756))⋷((⋰*⋻925⊭∹↮)⪢(⋰*⋻911⨸⪁⋰*⋻3463))≹⇙⪍((⋰*⋻942⨸⪁⋰*⋻1148)⪠⩆⊳)","cot":[{"info":"⋰*⋻1024⩨⋰*⋻3488=⋰*⋻-9","layer":3},{"info":"⋰*⋻2262⪮%⊝⋰*⋻A54=⋰*⋻4781","layer":3},{"info":"⋰*⋻-9⩨⋰*⋻4781=⋰*⋻1629","layer":2},{"info":"⋰*⋻1856⩨⋰*⋻1972=⋰*⋻-3","layer":3},{"info":"≉⋰*⋻1756=⋰*⋻2099","layer":3},{"info":"⋰*⋻-3≎⊠⪸⋰*⋻2099=⋰*⋻647","layer":2},{"info":"⋰*⋻1629⨓⋰*⋻647=⋰*⋻-64A","layer":1},{"info":"⋰*⋻925⊭∹↮=⋰*⋻174A","layer":3},{"info":"⋰*⋻911⨸⪁⋰*⋻3463=⋰*⋻8538","layer":3},{"info":"⋰*⋻174A⪢⋰*⋻8538=NaN","layer":2},{"info":"⋰*⋻942⨸⪁⋰*⋻1148=⋰*⋻3A69","layer":3},{"info":"⋰*⋻3A69⪠⩆⊳=⋰*⋻0","layer":2},{"info":"NaN≹⇙⪍⋰*⋻0=NaN","layer":1},{"info":"⋰*⋻-64A⋷NaN=⋰*⋻1199","layer":0}]}
{"id":833,"expression_no_base_symbol":"⨰⫟⨤(≦∁$6447$⊴$2344$∼($6625$⪨≂$1361$))","expression":"⨰⫟⨤(≦∁⋰*⋻4931⊴⋰*⋻1841∼(⋰*⋻4A83⪨≂⋰*⋻1028))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2872,"operation_count":5,"complexity_ratio":574.4,"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":6447,"base":11},"right_expr":{"type":"numeric_atoms","value":2344,"base":11}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":6625,"base":11},"right_expr":{"type":"numeric_atoms","value":1361,"base":11}}}}},"used_operators":["Tw270M8GLb","9ICcGScMcE","DyGG3AbaNP","Nsiff2A1zJ","sdazOOVcIp"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=6447","layer":4},{"info":"number node, value=2344","layer":4},{"info":"compute binary expreesion, left_input=6447, right_input=2344, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=6625","layer":4},{"info":"number node, value=1361","layer":4},{"info":"compute binary expreesion, left_input=6625, right_input=1361, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=10630","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=10630, 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 = 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 = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⨰⫟⨤(≦∁⋰*⋻4931⊴⋰*⋻1841∼(⋰*⋻4A83⪨≂⋰*⋻1028))=NaN","reverse_text":"NaN=⨰⫟⨤(≦∁⋰*⋻4931⊴⋰*⋻1841∼(⋰*⋻4A83⪨≂⋰*⋻1028))","cot":[{"info":"⋰*⋻4931⊴⋰*⋻1841=NaN","layer":3},{"info":"⋰*⋻4A83⪨≂⋰*⋻1028=⋰*⋻7A94","layer":3},{"info":"NaN∼⋰*⋻7A94=NaN","layer":2},{"info":"≦∁NaN=NaN","layer":1},{"info":"⨰⫟⨤NaN=NaN","layer":0}]}
{"id":834,"expression_no_base_symbol":"(($6665$∲⫓$2907$)⊴($2063$⩚⊴⇥$1753$)⋥≓≎($7494$⇼⇔∾$1284$)⨽($1088$⫸⊐$1277$))⪘⫢(↩(($6337$+$1925$)*$2397$⫸⊐$3568$))","expression":"((⋰*⋻500A∲⫓⋰*⋻2203)⊴(⋰*⋻1606⩚⊴⇥⋰*⋻1354)⋥≓≎(⋰*⋻56A3⇼⇔∾⋰*⋻A68)⨽(⋰*⋻8AA⫸⊐⋰*⋻A61))⪘⫢(↩((⋰*⋻4841+⋰*⋻14A0)*⋰*⋻188A⫸⊐⋰*⋻2754))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":18507,"operation_count":12,"complexity_ratio":1542.25,"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":6665,"base":11},"right_expr":{"type":"numeric_atoms","value":2907,"base":11}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2063,"base":11},"right_expr":{"type":"numeric_atoms","value":1753,"base":11}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":7494,"base":11},"right_expr":{"type":"numeric_atoms","value":1284,"base":11}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1088,"base":11},"right_expr":{"type":"numeric_atoms","value":1277,"base":11}}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":6337,"base":11},"right_expr":{"type":"numeric_atoms","value":1925,"base":11}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2397,"base":11},"right_expr":{"type":"numeric_atoms","value":3568,"base":11}}}}},"used_operators":["oacrs7FA3X","Qy55tPpLXF","Nsiff2A1zJ","i8ToyICDmI","NTOWxs364D","8HhzD0ZcuI","tifHPKVTfV","mqXw5SEYmG","jLgFTUHLKL","9HNa5Wba9A","W4YGzv6Whe"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe"],"result":"⋰*⋻-1","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6665","layer":4},{"info":"number node, value=2907","layer":4},{"info":"compute binary expreesion, left_input=6665, right_input=2907, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=2063","layer":4},{"info":"number node, value=1753","layer":4},{"info":"compute binary expreesion, left_input=2063, right_input=1753, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3937","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-3937, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=7494","layer":4},{"info":"number node, value=1284","layer":4},{"info":"compute binary expreesion, left_input=7494, right_input=1284, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-6210","layer":3},{"info":"number node, value=1088","layer":4},{"info":"number node, value=1277","layer":4},{"info":"compute binary expreesion, left_input=1088, right_input=1277, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4983","layer":3},{"info":"compute binary expreesion, left_input=-6210, right_input=4983, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-115705935","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-115705935, 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=6337","layer":4},{"info":"number node, value=1925","layer":4},{"info":"compute binary expreesion, left_input=6337, right_input=1925, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8262","layer":3},{"info":"number node, value=2397","layer":4},{"info":"number node, value=3568","layer":4},{"info":"compute binary expreesion, left_input=2397, right_input=3568, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=14147","layer":3},{"info":"compute binary expreesion, left_input=8262, right_input=14147, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=116882514","layer":2},{"info":"compute unary expreesion, input=116882514, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-935057332","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-935057332, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻500A∲⫓⋰*⋻2203)⊴(⋰*⋻1606⩚⊴⇥⋰*⋻1354)⋥≓≎(⋰*⋻56A3⇼⇔∾⋰*⋻A68)⨽(⋰*⋻8AA⫸⊐⋰*⋻A61))⪘⫢(↩((⋰*⋻4841+⋰*⋻14A0)*⋰*⋻188A⫸⊐⋰*⋻2754))=⋰*⋻-1","reverse_text":"⋰*⋻-1=((⋰*⋻500A∲⫓⋰*⋻2203)⊴(⋰*⋻1606⩚⊴⇥⋰*⋻1354)⋥≓≎(⋰*⋻56A3⇼⇔∾⋰*⋻A68)⨽(⋰*⋻8AA⫸⊐⋰*⋻A61))⪘⫢(↩((⋰*⋻4841+⋰*⋻14A0)*⋰*⋻188A⫸⊐⋰*⋻2754))","cot":[{"info":"⋰*⋻500A∲⫓⋰*⋻2203=⋰*⋻0","layer":3},{"info":"⋰*⋻1606⩚⊴⇥⋰*⋻1354=⋰*⋻-2A5A","layer":3},{"info":"⋰*⋻0⊴⋰*⋻-2A5A=NaN","layer":2},{"info":"⋰*⋻56A3⇼⇔∾⋰*⋻A68=⋰*⋻-4736","layer":3},{"info":"⋰*⋻8AA⫸⊐⋰*⋻A61=⋰*⋻3820","layer":3},{"info":"⋰*⋻-4736⨽⋰*⋻3820=⋰*⋻-5A349644","layer":2},{"info":"NaN⋥≓≎⋰*⋻-5A349644=⋰*⋻61","layer":1},{"info":"⋰*⋻4841+⋰*⋻14A0=⋰*⋻6231","layer":3},{"info":"⋰*⋻188A⫸⊐⋰*⋻2754=⋰*⋻A6A1","layer":3},{"info":"⋰*⋻6231*⋰*⋻A6A1=⋰*⋻5AA82621","layer":2},{"info":"↩⋰*⋻5AA82621=⋰*⋻-43A8A7460","layer":1},{"info":"⋰*⋻61⪘⫢⋰*⋻-43A8A7460=⋰*⋻-1","layer":0}]}
{"id":835,"expression_no_base_symbol":"(↣≠⋷(($1554$+⇶⊼$3435$)⋓($1091$⨰$1074$)))≋⫹","expression":"(↣≠⋷((⋰*⋻1193+⇶⊼⋰*⋻2643)⋓(⋰*⋻902⨰⋰*⋻897)))≋⫹","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":26,"operation_count":5,"complexity_ratio":5.2,"tree":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1554,"base":11},"right_expr":{"type":"numeric_atoms","value":3435,"base":11}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1091,"base":11},"right_expr":{"type":"numeric_atoms","value":1074,"base":11}}}}},"used_operators":["N41Kp7NANJ","Asc51vEJeQ","T2fj7uvVaJ","TpPTUOHfaN","eewbuw0ToL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=1554","layer":4},{"info":"number node, value=3435","layer":4},{"info":"compute binary expreesion, left_input=1554, right_input=3435, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=1091","layer":4},{"info":"number node, value=1074","layer":4},{"info":"compute binary expreesion, left_input=1091, right_input=1074, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=27","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=27, op_id = T2fj7uvVaJ binary_op_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 = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(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":11,"result_base":11,"text":"(↣≠⋷((⋰*⋻1193+⇶⊼⋰*⋻2643)⋓(⋰*⋻902⨰⋰*⋻897)))≋⫹=NaN","reverse_text":"NaN=(↣≠⋷((⋰*⋻1193+⇶⊼⋰*⋻2643)⋓(⋰*⋻902⨰⋰*⋻897)))≋⫹","cot":[{"info":"⋰*⋻1193+⇶⊼⋰*⋻2643=NaN","layer":3},{"info":"⋰*⋻902⨰⋰*⋻897=⋰*⋻25","layer":3},{"info":"NaN⋓⋰*⋻25=⋰*⋻0","layer":2},{"info":"↣≠⋷⋰*⋻0=NaN","layer":1},{"info":"NaN≋⫹=NaN","layer":0}]}
{"id":836,"expression_no_base_symbol":"(($1158$⪨≂$2656$)∼($1500$⪛$5364$)⋷$1926$↙$1163$∲⫓$5946$∀⇚≩$8414$)⊘","expression":"((⋰*⋻963⪨≂⋰*⋻1AA5)∼(⋰*⋻1144⪛⋰*⋻4037)⋷⋰*⋻14A1↙⋰*⋻968∲⫓⋰*⋻4516∀⇚≩⋰*⋻635A)⊘","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":42880,"operation_count":8,"complexity_ratio":5360.0,"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":1158,"base":11},"right_expr":{"type":"numeric_atoms","value":2656,"base":11}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1500,"base":11},"right_expr":{"type":"numeric_atoms","value":5364,"base":11}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1926,"base":11},"right_expr":{"type":"numeric_atoms","value":1163,"base":11}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":5946,"base":11},"right_expr":{"type":"numeric_atoms","value":8414,"base":11}}}}},"used_operators":["gu96TGCTMs","23Mk6UjR3U","DyGG3AbaNP","sdazOOVcIp","uFcxV4UQCh","i8ToyICDmI","yyfyN0ffXY","LRNGc0VcxI"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1158","layer":4},{"info":"number node, value=2656","layer":4},{"info":"compute binary expreesion, left_input=1158, right_input=2656, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-2894","layer":3},{"info":"number node, value=1500","layer":4},{"info":"number node, value=5364","layer":4},{"info":"compute binary expreesion, left_input=1500, right_input=5364, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1500","layer":3},{"info":"compute binary expreesion, left_input=-2894, right_input=1500, 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=1926","layer":4},{"info":"number node, value=1163","layer":4},{"info":"compute binary expreesion, left_input=1926, right_input=1163, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3489","layer":3},{"info":"number node, value=5946","layer":4},{"info":"number node, value=8414","layer":4},{"info":"compute binary expreesion, left_input=5946, right_input=8414, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=-3489, 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 = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻963⪨≂⋰*⋻1AA5)∼(⋰*⋻1144⪛⋰*⋻4037)⋷⋰*⋻14A1↙⋰*⋻968∲⫓⋰*⋻4516∀⇚≩⋰*⋻635A)⊘=NaN","reverse_text":"NaN=((⋰*⋻963⪨≂⋰*⋻1AA5)∼(⋰*⋻1144⪛⋰*⋻4037)⋷⋰*⋻14A1↙⋰*⋻968∲⫓⋰*⋻4516∀⇚≩⋰*⋻635A)⊘","cot":[{"info":"⋰*⋻963⪨≂⋰*⋻1AA5=⋰*⋻-21A1","layer":3},{"info":"⋰*⋻1144⪛⋰*⋻4037=⋰*⋻1144","layer":3},{"info":"⋰*⋻-21A1∼⋰*⋻1144=NaN","layer":2},{"info":"⋰*⋻14A1↙⋰*⋻968=⋰*⋻-2692","layer":3},{"info":"⋰*⋻4516∀⇚≩⋰*⋻635A=NaN","layer":3},{"info":"⋰*⋻-2692∲⫓NaN=NaN","layer":2},{"info":"NaN⋷NaN=NaN","layer":1},{"info":"NaN⊘=NaN","layer":0}]}
{"id":837,"expression_no_base_symbol":"(($1047$⊭↱$1931$)⪮%⊝($5838$*$2043$)⩤)⪮%⊝((⩦⩻⨪(⫓⪴$2150$))/(($8022$⨽$1299$)⊦⊿))","expression":"((⋰*⋻872⊭↱⋰*⋻14A6)⪮%⊝(⋰*⋻4428*⋰*⋻1598)⩤)⪮%⊝((⩦⩻⨪(⫓⪴⋰*⋻1685))/((⋰*⋻6033⨽⋰*⋻A81)⊦⊿))","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":12259,"operation_count":10,"complexity_ratio":1225.9,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1047,"base":11},"right_expr":{"type":"numeric_atoms","value":1931,"base":11}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":5838,"base":11},"right_expr":{"type":"numeric_atoms","value":2043,"base":11}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2150,"base":11}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":8022,"base":11},"right_expr":{"type":"numeric_atoms","value":1299,"base":11}}}}},"used_operators":["IWmyXbctLI","Z2TMIBDE3Q","COABgblf1C","9HNa5Wba9A","XhwjNDsVaA","2td37pGCOC","eLxqMNBOBk","14qkJME0vr","8HhzD0ZcuI"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1047","layer":4},{"info":"number node, value=1931","layer":4},{"info":"compute binary expreesion, left_input=1047, right_input=1931, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=1773","layer":3},{"info":"number node, value=5838","layer":4},{"info":"number node, value=2043","layer":4},{"info":"compute binary expreesion, left_input=5838, right_input=2043, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=11927034","layer":3},{"info":"compute binary expreesion, left_input=1773, right_input=11927034, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3862","layer":2},{"info":"compute unary expreesion, input=3862, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-3862","layer":1},{"info":"number node, value=2150","layer":4},{"info":"compute unary expreesion, input=2150, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=4622500","layer":3},{"info":"compute unary expreesion, input=4622500, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=4622500","layer":2},{"info":"number node, value=8022","layer":4},{"info":"number node, value=1299","layer":4},{"info":"compute binary expreesion, left_input=8022, right_input=1299, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-193060035","layer":3},{"info":"compute unary expreesion, input=-193060035, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=579180026","layer":2},{"info":"compute binary expreesion, left_input=4622500, right_input=579180026, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"compute binary expreesion, left_input=-3862, right_input=0, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻872⊭↱⋰*⋻14A6)⪮%⊝(⋰*⋻4428*⋰*⋻1598)⩤)⪮%⊝((⩦⩻⨪(⫓⪴⋰*⋻1685))/((⋰*⋻6033⨽⋰*⋻A81)⊦⊿))=NaN","reverse_text":"NaN=((⋰*⋻872⊭↱⋰*⋻14A6)⪮%⊝(⋰*⋻4428*⋰*⋻1598)⩤)⪮%⊝((⩦⩻⨪(⫓⪴⋰*⋻1685))/((⋰*⋻6033⨽⋰*⋻A81)⊦⊿))","cot":[{"info":"⋰*⋻872⊭↱⋰*⋻14A6=⋰*⋻1372","layer":3},{"info":"⋰*⋻4428*⋰*⋻1598=⋰*⋻6806A59","layer":3},{"info":"⋰*⋻1372⪮%⊝⋰*⋻6806A59=⋰*⋻29A1","layer":2},{"info":"⋰*⋻29A1⩤=⋰*⋻-29A1","layer":1},{"info":"⫓⪴⋰*⋻1685=⋰*⋻2677A53","layer":3},{"info":"⩦⩻⨪⋰*⋻2677A53=⋰*⋻2677A53","layer":2},{"info":"⋰*⋻6033⨽⋰*⋻A81=⋰*⋻-99A82953","layer":3},{"info":"⋰*⋻-99A82953⊦⊿=⋰*⋻277A28587","layer":2},{"info":"⋰*⋻2677A53/⋰*⋻277A28587=⋰*⋻0","layer":1},{"info":"⋰*⋻-29A1⪮%⊝⋰*⋻0=NaN","layer":0}]}
{"id":838,"expression_no_base_symbol":"-(↔$1085$)≎⊠⪸($5636$⪐)≭(($1154$⋷$8608$)⊉≛↸(∂$4090$))","expression":"-(↔⋰*⋻8A7)≎⊠⪸(⋰*⋻4264⪐)≭((⋰*⋻95A⋷⋰*⋻6516)⊉≛↸(∂⋰*⋻3089))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":288,"operation_count":8,"complexity_ratio":36.0,"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":1085,"base":11}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":5636,"base":11}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1154,"base":11},"right_expr":{"type":"numeric_atoms","value":8608,"base":11}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":4090,"base":11}}}}},"used_operators":["t8gj7n24qd","rxpJgHHUmx","bJkvcejdHO","ruOEQAzv1W","eH2TOUuTDT","DZ8iAZOCBD","23Mk6UjR3U","Uaa54Peajs"],"dependent_operators":["AHs5Up7iyr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1085","layer":4},{"info":"compute unary expreesion, input=1085, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-812","layer":3},{"info":"number node, value=5636","layer":4},{"info":"compute unary expreesion, input=5636, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=11272","layer":3},{"info":"compute binary expreesion, left_input=-812, right_input=11272, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=210308","layer":2},{"info":"number node, value=1154","layer":4},{"info":"number node, value=8608","layer":4},{"info":"compute binary expreesion, left_input=1154, right_input=8608, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=16062","layer":3},{"info":"number node, value=4090","layer":4},{"info":"compute unary expreesion, input=4090, 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=16062, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=32124","layer":2},{"info":"compute binary expreesion, left_input=210308, right_input=32124, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"-(↔⋰*⋻8A7)≎⊠⪸(⋰*⋻4264⪐)≭((⋰*⋻95A⋷⋰*⋻6516)⊉≛↸(∂⋰*⋻3089))=NaN","reverse_text":"NaN=-(↔⋰*⋻8A7)≎⊠⪸(⋰*⋻4264⪐)≭((⋰*⋻95A⋷⋰*⋻6516)⊉≛↸(∂⋰*⋻3089))","cot":[{"info":"↔⋰*⋻8A7=⋰*⋻-679","layer":3},{"info":"⋰*⋻4264⪐=⋰*⋻8518","layer":3},{"info":"⋰*⋻-679≎⊠⪸⋰*⋻8518=⋰*⋻13400A","layer":2},{"info":"⋰*⋻95A⋷⋰*⋻6516=⋰*⋻11082","layer":3},{"info":"∂⋰*⋻3089=NaN","layer":3},{"info":"⋰*⋻11082⊉≛↸NaN=⋰*⋻22154","layer":2},{"info":"⋰*⋻13400A≭⋰*⋻22154=NaN","layer":1},{"info":"-NaN=NaN","layer":0}]}
{"id":839,"expression_no_base_symbol":"(⨰⫟⨤($1095$+$2048$)∼($1163$⇷$1931$))↪⪝","expression":"(⨰⫟⨤(⋰*⋻906+⋰*⋻15A2)∼(⋰*⋻968⇷⋰*⋻14A6))↪⪝","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":16386,"operation_count":5,"complexity_ratio":3277.2,"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":1095,"base":11},"right_expr":{"type":"numeric_atoms","value":2048,"base":11}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1163,"base":11},"right_expr":{"type":"numeric_atoms","value":1931,"base":11}}}}},"used_operators":["l07mrZUIn9","Tw270M8GLb","DyGG3AbaNP","W4YGzv6Whe","mp7IySMOzn"],"dependent_operators":["9HNa5Wba9A","2DDjHMKMc0","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=1095","layer":4},{"info":"number node, value=2048","layer":4},{"info":"compute binary expreesion, left_input=1095, right_input=2048, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3143","layer":3},{"info":"number node, value=1163","layer":4},{"info":"number node, value=1931","layer":4},{"info":"compute binary expreesion, left_input=1163, right_input=1931, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3862","layer":3},{"info":"compute binary expreesion, left_input=3143, right_input=3862, 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 = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⨰⫟⨤(⋰*⋻906+⋰*⋻15A2)∼(⋰*⋻968⇷⋰*⋻14A6))↪⪝=NaN","reverse_text":"NaN=(⨰⫟⨤(⋰*⋻906+⋰*⋻15A2)∼(⋰*⋻968⇷⋰*⋻14A6))↪⪝","cot":[{"info":"⋰*⋻906+⋰*⋻15A2=⋰*⋻23A8","layer":3},{"info":"⋰*⋻968⇷⋰*⋻14A6=⋰*⋻29A1","layer":3},{"info":"⋰*⋻23A8∼⋰*⋻29A1=NaN","layer":2},{"info":"⨰⫟⨤NaN=NaN","layer":1},{"info":"NaN↪⪝=NaN","layer":0}]}
{"id":840,"expression_no_base_symbol":"(⨞⊢(⩦⩻⨪$4507$))∀⇚≩($1514$⪮%⊝$7021$⊭↱$2085$≎⊠⪸$7156$)⨓($1866$⫥∨⫟$4624$⪒$1778$⊉≛↸$5241$)∼($1914$⩚⊴⇥$3140$⊠≄⫣)","expression":"(⨞⊢(⩦⩻⨪⋰*⋻3428))∀⇚≩(⋰*⋻1157⪮%⊝⋰*⋻5303⊭↱⋰*⋻1626≎⊠⪸⋰*⋻5416)⨓(⋰*⋻1447⫥∨⫟⋰*⋻3524⪒⋰*⋻1377⊉≛↸⋰*⋻3A35)∼(⋰*⋻1490⩚⊴⇥⋰*⋻23A5⊠≄⫣)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":33270,"operation_count":13,"complexity_ratio":2559.230769230769,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":4507,"base":11}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1514,"base":11},"right_expr":{"type":"numeric_atoms","value":7021,"base":11}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2085,"base":11},"right_expr":{"type":"numeric_atoms","value":7156,"base":11}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1866,"base":11},"right_expr":{"type":"numeric_atoms","value":4624,"base":11}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1778,"base":11},"right_expr":{"type":"numeric_atoms","value":5241,"base":11}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1914,"base":11},"right_expr":{"type":"numeric_atoms","value":3140,"base":11}}}}},"used_operators":["3ViojmjbAp","LRNGc0VcxI","xUOZtlo3hN","2td37pGCOC","COABgblf1C","IWmyXbctLI","bJkvcejdHO","DyGG3AbaNP","f6k1SAg4EE","KYD54nUTWz","DZ8iAZOCBD","DIvbN7qnHd","NTOWxs364D"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⋰*⋻-21","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4507","layer":4},{"info":"compute unary expreesion, input=4507, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=4507","layer":3},{"info":"compute unary expreesion, input=4507, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-4681","layer":2},{"info":"number node, value=1514","layer":4},{"info":"number node, value=7021","layer":4},{"info":"compute binary expreesion, left_input=1514, right_input=7021, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3344","layer":3},{"info":"number node, value=2085","layer":4},{"info":"number node, value=7156","layer":4},{"info":"compute binary expreesion, left_input=2085, right_input=7156, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=539542","layer":3},{"info":"compute binary expreesion, left_input=3344, right_input=539542, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=1072401","layer":2},{"info":"compute binary expreesion, left_input=-4681, right_input=1072401, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1866","layer":4},{"info":"number node, value=4624","layer":4},{"info":"compute binary expreesion, left_input=1866, right_input=4624, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1778","layer":4},{"info":"number node, value=5241","layer":4},{"info":"compute binary expreesion, left_input=1778, right_input=5241, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3556","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3556, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=1914","layer":4},{"info":"number node, value=3140","layer":4},{"info":"compute binary expreesion, left_input=1914, right_input=3140, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5175","layer":3},{"info":"compute unary expreesion, input=-5175, 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 = 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 = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-23","layer":0}],"base":11,"result_base":11,"text":"(⨞⊢(⩦⩻⨪⋰*⋻3428))∀⇚≩(⋰*⋻1157⪮%⊝⋰*⋻5303⊭↱⋰*⋻1626≎⊠⪸⋰*⋻5416)⨓(⋰*⋻1447⫥∨⫟⋰*⋻3524⪒⋰*⋻1377⊉≛↸⋰*⋻3A35)∼(⋰*⋻1490⩚⊴⇥⋰*⋻23A5⊠≄⫣)=⋰*⋻-21","reverse_text":"⋰*⋻-21=(⨞⊢(⩦⩻⨪⋰*⋻3428))∀⇚≩(⋰*⋻1157⪮%⊝⋰*⋻5303⊭↱⋰*⋻1626≎⊠⪸⋰*⋻5416)⨓(⋰*⋻1447⫥∨⫟⋰*⋻3524⪒⋰*⋻1377⊉≛↸⋰*⋻3A35)∼(⋰*⋻1490⩚⊴⇥⋰*⋻23A5⊠≄⫣)","cot":[{"info":"⩦⩻⨪⋰*⋻3428=⋰*⋻3428","layer":3},{"info":"⨞⊢⋰*⋻3428=⋰*⋻-3576","layer":2},{"info":"⋰*⋻1157⪮%⊝⋰*⋻5303=⋰*⋻2570","layer":3},{"info":"⋰*⋻1626≎⊠⪸⋰*⋻5416=⋰*⋻339403","layer":3},{"info":"⋰*⋻2570⊭↱⋰*⋻339403=⋰*⋻672790","layer":2},{"info":"⋰*⋻-3576∀⇚≩⋰*⋻672790=NaN","layer":1},{"info":"⋰*⋻1447⫥∨⫟⋰*⋻3524=NaN","layer":3},{"info":"⋰*⋻1377⊉≛↸⋰*⋻3A35=⋰*⋻2743","layer":3},{"info":"NaN⪒⋰*⋻2743=NaN","layer":2},{"info":"⋰*⋻1490⩚⊴⇥⋰*⋻23A5=⋰*⋻-3985","layer":3},{"info":"⋰*⋻-3985⊠≄⫣=⋰*⋻0","layer":2},{"info":"NaN∼⋰*⋻0=⋰*⋻19","layer":1},{"info":"NaN⨓⋰*⋻19=⋰*⋻-21","layer":0}]}
{"id":841,"expression_no_base_symbol":"(⨞⊢($1938$⨳⩥⨓$5666$⨵⪆($1589$⫡⨏$1707$)))↺((($8113$⫸⊐$5855$)⫸⊐($5119$⩠))⊦⊿)","expression":"(⨞⊢(⋰*⋻1502⨳⩥⨓⋰*⋻4291⨵⪆(⋰*⋻1215⫡⨏⋰*⋻1312)))↺(((⋰*⋻6106⫸⊐⋰*⋻4443)⫸⊐(⋰*⋻3934⩠))⊦⊿)","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":87,"operation_count":9,"complexity_ratio":9.666666666666666,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1938,"base":11},"right_expr":{"type":"numeric_atoms","value":5666,"base":11}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1589,"base":11},"right_expr":{"type":"numeric_atoms","value":1707,"base":11}}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":8113,"base":11},"right_expr":{"type":"numeric_atoms","value":5855,"base":11}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":5119,"base":11}}}}},"used_operators":["7j4O788W3g","xUOZtlo3hN","2DQ55sFlQl","nCS4ZIUYfx","QMFrweE19q","14qkJME0vr","mqXw5SEYmG","sJAwomhLZr"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"⋰*⋻24A","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1938","layer":4},{"info":"number node, value=5666","layer":4},{"info":"compute binary expreesion, left_input=1938, right_input=5666, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=3728","layer":3},{"info":"number node, value=1589","layer":4},{"info":"number node, value=1707","layer":4},{"info":"compute binary expreesion, left_input=1589, 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=12142","layer":3},{"info":"compute binary expreesion, left_input=3728, right_input=12142, 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 = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-334","layer":1},{"info":"number node, value=8113","layer":4},{"info":"number node, value=5855","layer":4},{"info":"compute binary expreesion, left_input=8113, right_input=5855, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=23295","layer":3},{"info":"number node, value=5119","layer":4},{"info":"compute unary expreesion, input=5119, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=23295, 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 = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=296","layer":1},{"info":"compute binary expreesion, left_input=-334, right_input=296, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=296","layer":0}],"base":11,"result_base":11,"text":"(⨞⊢(⋰*⋻1502⨳⩥⨓⋰*⋻4291⨵⪆(⋰*⋻1215⫡⨏⋰*⋻1312)))↺(((⋰*⋻6106⫸⊐⋰*⋻4443)⫸⊐(⋰*⋻3934⩠))⊦⊿)=⋰*⋻24A","reverse_text":"⋰*⋻24A=(⨞⊢(⋰*⋻1502⨳⩥⨓⋰*⋻4291⨵⪆(⋰*⋻1215⫡⨏⋰*⋻1312)))↺(((⋰*⋻6106⫸⊐⋰*⋻4443)⫸⊐(⋰*⋻3934⩠))⊦⊿)","cot":[{"info":"⋰*⋻1502⨳⩥⨓⋰*⋻4291=⋰*⋻288A","layer":3},{"info":"⋰*⋻1215⫡⨏⋰*⋻1312=⋰*⋻9139","layer":3},{"info":"⋰*⋻288A⨵⪆⋰*⋻9139=⋰*⋻136","layer":2},{"info":"⨞⊢⋰*⋻136=⋰*⋻-284","layer":1},{"info":"⋰*⋻6106⫸⊐⋰*⋻4443=⋰*⋻16558","layer":3},{"info":"⋰*⋻3934⩠=⋰*⋻0","layer":3},{"info":"⋰*⋻16558⫸⊐⋰*⋻0=⋰*⋻-104","layer":2},{"info":"⋰*⋻-104⊦⊿=⋰*⋻24A","layer":1},{"info":"⋰*⋻-284↺⋰*⋻24A=⋰*⋻24A","layer":0}]}
{"id":842,"expression_no_base_symbol":"⨞⊢(⨑⩽⪐($3378$⊉≛↸$1669$))≹⇙⪍($5897$⨟⋌⩍$3494$⨁⊸⫻)","expression":"⨞⊢(⨑⩽⪐(⋰*⋻25A1⊉≛↸⋰*⋻1288))≹⇙⪍(⋰*⋻4481⨟⋌⩍⋰*⋻2697⨁⊸⫻)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":11,"operation_count":6,"complexity_ratio":1.8333333333333333,"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":3378,"base":11},"right_expr":{"type":"numeric_atoms","value":1669,"base":11}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":5897,"base":11},"right_expr":{"type":"numeric_atoms","value":3494,"base":11}}}}},"used_operators":["xUOZtlo3hN","AHs5Up7iyr","AF7qkfDlqP","DZ8iAZOCBD","glklzrTFfD","rGHVDoGpnC"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3378","layer":4},{"info":"number node, value=1669","layer":4},{"info":"compute binary expreesion, left_input=3378, right_input=1669, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6756","layer":3},{"info":"compute unary expreesion, input=6756, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-6483","layer":2},{"info":"number node, value=5897","layer":4},{"info":"number node, value=3494","layer":4},{"info":"compute binary expreesion, left_input=5897, right_input=3494, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-6483, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⨞⊢(⨑⩽⪐(⋰*⋻25A1⊉≛↸⋰*⋻1288))≹⇙⪍(⋰*⋻4481⨟⋌⩍⋰*⋻2697⨁⊸⫻)=NaN","reverse_text":"NaN=⨞⊢(⨑⩽⪐(⋰*⋻25A1⊉≛↸⋰*⋻1288))≹⇙⪍(⋰*⋻4481⨟⋌⩍⋰*⋻2697⨁⊸⫻)","cot":[{"info":"⋰*⋻25A1⊉≛↸⋰*⋻1288=⋰*⋻5092","layer":3},{"info":"⨑⩽⪐⋰*⋻5092=⋰*⋻-4964","layer":2},{"info":"⋰*⋻4481⨟⋌⩍⋰*⋻2697=NaN","layer":3},{"info":"NaN⨁⊸⫻=NaN","layer":2},{"info":"⋰*⋻-4964≹⇙⪍NaN=NaN","layer":1},{"info":"⨞⊢NaN=NaN","layer":0}]}
{"id":843,"expression_no_base_symbol":"(($1272$⨵⪆$4692$⨵⪆$3453$⫸⊐$1412$)⋝⋈⪟($4861$⨸⪁$1300$⫡⨏$2764$⋓$1239$))∼((⪝⪂⫅$2759$)⊴($1738$⪘⫢$5860$)⪄(≤/$2044$⨳⩥⨓$3028$))","expression":"((⋰*⋻A57⨵⪆⋰*⋻3586⨵⪆⋰*⋻265A⫸⊐⋰*⋻1074)⋝⋈⪟(⋰*⋻371A⨸⪁⋰*⋻A82⫡⨏⋰*⋻2093⋓⋰*⋻A27))∼((⪝⪂⫅⋰*⋻2089)⊴(⋰*⋻1340⪘⫢⋰*⋻4448)⪄(≤/⋰*⋻1599⨳⩥⨓⋰*⋻2303))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":430640,"operation_count":14,"complexity_ratio":30760.0,"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":1272,"base":11},"right_expr":{"type":"numeric_atoms","value":4692,"base":11}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3453,"base":11},"right_expr":{"type":"numeric_atoms","value":1412,"base":11}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4861,"base":11},"right_expr":{"type":"numeric_atoms","value":1300,"base":11}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2764,"base":11},"right_expr":{"type":"numeric_atoms","value":1239,"base":11}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":2759,"base":11}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1738,"base":11},"right_expr":{"type":"numeric_atoms","value":5860,"base":11}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2044,"base":11},"right_expr":{"type":"numeric_atoms","value":3028,"base":11}}}}},"used_operators":["DyGG3AbaNP","2DDjHMKMc0","2DQ55sFlQl","mqXw5SEYmG","QMFrweE19q","g55IO6H4Gj","T2fj7uvVaJ","SUmda5xLS4","Nsiff2A1zJ","XTarYq4gQB","oacrs7FA3X","eLAdDNolq6","nCS4ZIUYfx"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","dWAJyo7jo9","14qkJME0vr","9HNa5Wba9A","8w2t5hMYqp","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1272","layer":4},{"info":"number node, value=4692","layer":4},{"info":"compute binary expreesion, left_input=1272, right_input=4692, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=3453","layer":4},{"info":"number node, value=1412","layer":4},{"info":"compute binary expreesion, left_input=3453, right_input=1412, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5523","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=5523, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=4861","layer":4},{"info":"number node, value=1300","layer":4},{"info":"compute binary expreesion, left_input=4861, right_input=1300, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=12322","layer":3},{"info":"number node, value=2764","layer":4},{"info":"number node, value=1239","layer":4},{"info":"compute binary expreesion, left_input=2764, right_input=1239, op_id = T2fj7uvVaJ binary_op_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=12322, 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=62393","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=62393, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=160","layer":1},{"info":"number node, value=2759","layer":4},{"info":"compute unary expreesion, input=2759, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-405573","layer":3},{"info":"number node, value=1738","layer":4},{"info":"number node, value=5860","layer":4},{"info":"compute binary expreesion, left_input=1738, right_input=5860, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3352","layer":3},{"info":"compute binary expreesion, left_input=-405573, right_input=3352, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=2044","layer":4},{"info":"number node, value=3028","layer":4},{"info":"compute binary expreesion, left_input=2044, right_input=3028, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=984","layer":3},{"info":"compute unary expreesion, input=984, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-500","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-500, 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 = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻A57⨵⪆⋰*⋻3586⨵⪆⋰*⋻265A⫸⊐⋰*⋻1074)⋝⋈⪟(⋰*⋻371A⨸⪁⋰*⋻A82⫡⨏⋰*⋻2093⋓⋰*⋻A27))∼((⪝⪂⫅⋰*⋻2089)⊴(⋰*⋻1340⪘⫢⋰*⋻4448)⪄(≤/⋰*⋻1599⨳⩥⨓⋰*⋻2303))=NaN","reverse_text":"NaN=((⋰*⋻A57⨵⪆⋰*⋻3586⨵⪆⋰*⋻265A⫸⊐⋰*⋻1074)⋝⋈⪟(⋰*⋻371A⨸⪁⋰*⋻A82⫡⨏⋰*⋻2093⋓⋰*⋻A27))∼((⪝⪂⫅⋰*⋻2089)⊴(⋰*⋻1340⪘⫢⋰*⋻4448)⪄(≤/⋰*⋻1599⨳⩥⨓⋰*⋻2303))","cot":[{"info":"⋰*⋻A57⨵⪆⋰*⋻3586=⋰*⋻136","layer":3},{"info":"⋰*⋻265A⫸⊐⋰*⋻1074=⋰*⋻4171","layer":3},{"info":"⋰*⋻136⨵⪆⋰*⋻4171=⋰*⋻136","layer":2},{"info":"⋰*⋻371A⨸⪁⋰*⋻A82=⋰*⋻9292","layer":3},{"info":"⋰*⋻2093⋓⋰*⋻A27=⋰*⋻0","layer":3},{"info":"⋰*⋻9292⫡⨏⋰*⋻0=⋰*⋻42971","layer":2},{"info":"⋰*⋻136⋝⋈⪟⋰*⋻42971=⋰*⋻136","layer":1},{"info":"⪝⪂⫅⋰*⋻2089=⋰*⋻-257793","layer":3},{"info":"⋰*⋻1340⪘⫢⋰*⋻4448=⋰*⋻2578","layer":3},{"info":"⋰*⋻-257793⊴⋰*⋻2578=NaN","layer":2},{"info":"⋰*⋻1599⨳⩥⨓⋰*⋻2303=⋰*⋻815","layer":3},{"info":"≤/⋰*⋻815=⋰*⋻-415","layer":2},{"info":"NaN⪄⋰*⋻-415=⋰*⋻2A98","layer":1},{"info":"⋰*⋻136∼⋰*⋻2A98=NaN","layer":0}]}
{"id":844,"expression_no_base_symbol":"(⨞⊢(-$6305$))≧⫂∧($2399$⨓$1493$⪠⩆⊳)⫩⊇","expression":"(⨞⊢(-⋰*⋻4812))≧⫂∧(⋰*⋻1891⨓⋰*⋻1138⪠⩆⊳)⫩⊇","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1511,"operation_count":6,"complexity_ratio":251.83333333333334,"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":6305,"base":11}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2399,"base":11},"right_expr":{"type":"numeric_atoms","value":1493,"base":11}}}}},"used_operators":["BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","t8gj7n24qd","JLbD19bQDL","3ViojmjbAp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"⋰*⋻429","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6305","layer":4},{"info":"compute unary expreesion, input=6305, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-6305","layer":3},{"info":"compute unary expreesion, input=-6305, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=6131","layer":2},{"info":"number node, value=2399","layer":4},{"info":"number node, value=1493","layer":4},{"info":"compute binary expreesion, left_input=2399, right_input=1493, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1496","layer":3},{"info":"compute unary expreesion, input=-1496, 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=6131, right_input=0, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-473","layer":1},{"info":"compute unary expreesion, input=-473, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=515","layer":0}],"base":11,"result_base":11,"text":"(⨞⊢(-⋰*⋻4812))≧⫂∧(⋰*⋻1891⨓⋰*⋻1138⪠⩆⊳)⫩⊇=⋰*⋻429","reverse_text":"⋰*⋻429=(⨞⊢(-⋰*⋻4812))≧⫂∧(⋰*⋻1891⨓⋰*⋻1138⪠⩆⊳)⫩⊇","cot":[{"info":"-⋰*⋻4812=⋰*⋻-4812","layer":3},{"info":"⨞⊢⋰*⋻-4812=⋰*⋻4674","layer":2},{"info":"⋰*⋻1891⨓⋰*⋻1138=⋰*⋻-1140","layer":3},{"info":"⋰*⋻-1140⪠⩆⊳=⋰*⋻0","layer":2},{"info":"⋰*⋻4674≧⫂∧⋰*⋻0=⋰*⋻-3A0","layer":1},{"info":"⋰*⋻-3A0⫩⊇=⋰*⋻429","layer":0}]}
{"id":845,"expression_no_base_symbol":"(⊥(($1648$≦≮≮)⫸⊐$2962$⊴$3325$))⋳⪒($1517$∀⇚≩$5415$/$2399$⨟⋌⩍$1722$)⪛(⨈⫕$1408$⪄$3000$)","expression":"(⊥((⋰*⋻1269≦≮≮)⫸⊐⋰*⋻2253⊴⋰*⋻2553))⋳⪒(⋰*⋻115A∀⇚≩⋰*⋻4083/⋰*⋻1891⨟⋌⩍⋰*⋻1326)⪛(⨈⫕⋰*⋻1070⪄⋰*⋻2288)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":957283,"operation_count":11,"complexity_ratio":87025.72727272728,"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":1648,"base":11}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2962,"base":11},"right_expr":{"type":"numeric_atoms","value":3325,"base":11}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1517,"base":11},"right_expr":{"type":"numeric_atoms","value":5415,"base":11}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2399,"base":11},"right_expr":{"type":"numeric_atoms","value":1722,"base":11}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1408,"base":11},"right_expr":{"type":"numeric_atoms","value":3000,"base":11}}}}},"used_operators":["12rbrZMWeM","Q3PJZHRvZv","mqXw5SEYmG","D4vGDi5EA2","Nsiff2A1zJ","uFcxV4UQCh","XhwjNDsVaA","LRNGc0VcxI","rGHVDoGpnC","megm06wKyl","SUmda5xLS4"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","X99M06cbEe","Tcnh7f0tEr","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1648","layer":4},{"info":"compute unary expreesion, input=1648, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-4944","layer":3},{"info":"number node, value=2962","layer":4},{"info":"number node, value=3325","layer":4},{"info":"compute binary expreesion, left_input=2962, right_input=3325, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4944, 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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=-971","layer":1},{"info":"number node, value=1517","layer":4},{"info":"number node, value=5415","layer":4},{"info":"compute binary expreesion, left_input=1517, right_input=5415, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=2399","layer":4},{"info":"number node, value=1722","layer":4},{"info":"compute binary expreesion, left_input=2399, right_input=1722, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1408","layer":4},{"info":"number node, value=3000","layer":4},{"info":"compute binary expreesion, left_input=1408, right_input=3000, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-216473","layer":3},{"info":"compute unary expreesion, input=-216473, 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 = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-971, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⊥((⋰*⋻1269≦≮≮)⫸⊐⋰*⋻2253⊴⋰*⋻2553))⋳⪒(⋰*⋻115A∀⇚≩⋰*⋻4083/⋰*⋻1891⨟⋌⩍⋰*⋻1326)⪛(⨈⫕⋰*⋻1070⪄⋰*⋻2288)=NaN","reverse_text":"NaN=(⊥((⋰*⋻1269≦≮≮)⫸⊐⋰*⋻2253⊴⋰*⋻2553))⋳⪒(⋰*⋻115A∀⇚≩⋰*⋻4083/⋰*⋻1891⨟⋌⩍⋰*⋻1326)⪛(⨈⫕⋰*⋻1070⪄⋰*⋻2288)","cot":[{"info":"⋰*⋻1269≦≮≮=⋰*⋻-3795","layer":3},{"info":"⋰*⋻2253⊴⋰*⋻2553=NaN","layer":3},{"info":"⋰*⋻-3795⫸⊐NaN=⋰*⋻800","layer":2},{"info":"⊥⋰*⋻800=⋰*⋻-803","layer":1},{"info":"⋰*⋻115A∀⇚≩⋰*⋻4083=NaN","layer":3},{"info":"⋰*⋻1891⨟⋌⩍⋰*⋻1326=NaN","layer":3},{"info":"NaN/NaN=NaN","layer":2},{"info":"⋰*⋻1070⪄⋰*⋻2288=⋰*⋻-138704","layer":3},{"info":"⨈⫕⋰*⋻-138704=⋰*⋻-1A","layer":2},{"info":"NaN⪛⋰*⋻-1A=NaN","layer":1},{"info":"⋰*⋻-803⋳⪒NaN=NaN","layer":0}]}
{"id":846,"expression_no_base_symbol":"(⊙↵-(≉$6956$↬$1047$))⨽(≦∁($2288$⪘⫢$3263$)≹⇙⪍($3555$*$5826$))","expression":"(⊙↵-(≉⋰*⋻5254↬⋰*⋻872))⨽(≦∁(⋰*⋻17A0⪘⫢⋰*⋻24A7)≹⇙⪍(⋰*⋻2742*⋰*⋻4417))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3611,"operation_count":8,"complexity_ratio":451.375,"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":6956,"base":11},"right_expr":{"type":"numeric_atoms","value":1047,"base":11}}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2288,"base":11},"right_expr":{"type":"numeric_atoms","value":3263,"base":11}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3555,"base":11},"right_expr":{"type":"numeric_atoms","value":5826,"base":11}}}}},"used_operators":["8HhzD0ZcuI","oWn0xqSxBt","e1ybzncUwg","B5M0gjZbta","9ICcGScMcE","AHs5Up7iyr","oacrs7FA3X","9HNa5Wba9A"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","dWAJyo7jo9","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6956","layer":4},{"info":"number node, value=1047","layer":4},{"info":"compute binary expreesion, left_input=6956, right_input=1047, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; 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=2288","layer":4},{"info":"number node, value=3263","layer":4},{"info":"compute binary expreesion, left_input=2288, right_input=3263, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4452","layer":3},{"info":"number node, value=3555","layer":4},{"info":"number node, value=5826","layer":4},{"info":"compute binary expreesion, left_input=3555, right_input=5826, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=20711430","layer":3},{"info":"compute binary expreesion, left_input=4452, right_input=20711430, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = 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 = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⊙↵-(≉⋰*⋻5254↬⋰*⋻872))⨽(≦∁(⋰*⋻17A0⪘⫢⋰*⋻24A7)≹⇙⪍(⋰*⋻2742*⋰*⋻4417))=NaN","reverse_text":"NaN=(⊙↵-(≉⋰*⋻5254↬⋰*⋻872))⨽(≦∁(⋰*⋻17A0⪘⫢⋰*⋻24A7)≹⇙⪍(⋰*⋻2742*⋰*⋻4417))","cot":[{"info":"⋰*⋻5254↬⋰*⋻872=NaN","layer":3},{"info":"≉NaN=NaN","layer":2},{"info":"⊙↵-NaN=NaN","layer":1},{"info":"⋰*⋻17A0⪘⫢⋰*⋻24A7=⋰*⋻3388","layer":3},{"info":"⋰*⋻2742*⋰*⋻4417=⋰*⋻10766893","layer":3},{"info":"⋰*⋻3388≹⇙⪍⋰*⋻10766893=NaN","layer":2},{"info":"≦∁NaN=NaN","layer":1},{"info":"NaN⨽NaN=NaN","layer":0}]}
{"id":847,"expression_no_base_symbol":"(($2864$⨽$1949$≋⫹)↪⪝)⋓(($4260$⋷$1095$)⪠⩆⊳)⨟⋌⩍(≉(⇁⨣⪵$5514$))","expression":"((⋰*⋻2174⨽⋰*⋻1512≋⫹)↪⪝)⋓((⋰*⋻3223⋷⋰*⋻906)⪠⩆⊳)⨟⋌⩍(≉(⇁⨣⪵⋰*⋻4163))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3499,"operation_count":9,"complexity_ratio":388.77777777777777,"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":2864,"base":11},"right_expr":{"type":"numeric_atoms","value":1949,"base":11}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":4260,"base":11},"right_expr":{"type":"numeric_atoms","value":1095,"base":11}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":5514,"base":11}}}}},"used_operators":["T2fj7uvVaJ","l07mrZUIn9","N41Kp7NANJ","8HhzD0ZcuI","rGHVDoGpnC","JLbD19bQDL","23Mk6UjR3U","e1ybzncUwg","inkyxCbjAn"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2864","layer":4},{"info":"number node, value=1949","layer":4},{"info":"compute binary expreesion, left_input=2864, right_input=1949, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-24612021","layer":3},{"info":"compute unary expreesion, input=-24612021, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=49224042","layer":2},{"info":"compute unary expreesion, input=49224042, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=inf","layer":1},{"info":"number node, value=4260","layer":4},{"info":"number node, value=1095","layer":4},{"info":"compute binary expreesion, left_input=4260, right_input=1095, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-2070","layer":3},{"info":"compute unary expreesion, input=-2070, 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=5514","layer":4},{"info":"compute unary expreesion, input=5514, op_id = inkyxCbjAn, 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 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":"compute binary expreesion, left_input=inf, 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":11,"result_base":11,"text":"((⋰*⋻2174⨽⋰*⋻1512≋⫹)↪⪝)⋓((⋰*⋻3223⋷⋰*⋻906)⪠⩆⊳)⨟⋌⩍(≉(⇁⨣⪵⋰*⋻4163))=NaN","reverse_text":"NaN=((⋰*⋻2174⨽⋰*⋻1512≋⫹)↪⪝)⋓((⋰*⋻3223⋷⋰*⋻906)⪠⩆⊳)⨟⋌⩍(≉(⇁⨣⪵⋰*⋻4163))","cot":[{"info":"⋰*⋻2174⨽⋰*⋻1512=⋰*⋻-12990415","layer":3},{"info":"⋰*⋻-12990415≋⫹=⋰*⋻2587082A","layer":2},{"info":"⋰*⋻2587082A↪⪝=Inf","layer":1},{"info":"⋰*⋻3223⋷⋰*⋻906=⋰*⋻-1612","layer":3},{"info":"⋰*⋻-1612⪠⩆⊳=⋰*⋻0","layer":2},{"info":"⇁⨣⪵⋰*⋻4163=NaN","layer":3},{"info":"≉NaN=NaN","layer":2},{"info":"⋰*⋻0⨟⋌⩍NaN=NaN","layer":1},{"info":"Inf⋓NaN=NaN","layer":0}]}
{"id":848,"expression_no_base_symbol":"((⨵≀≌$1679$⪄$3281$)⪒$1995$≧⫂∧$4197$⋳⪒$4658$⨰$6027$)⊠≄⫣","expression":"((⨵≀≌⋰*⋻1297⪄⋰*⋻2513)⪒⋰*⋻1554≧⫂∧⋰*⋻3176⋳⪒⋰*⋻3555⨰⋰*⋻458A)⊠≄⫣","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":257825,"operation_count":7,"complexity_ratio":36832.142857142855,"tree":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1679,"base":11},"right_expr":{"type":"numeric_atoms","value":3281,"base":11}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1995,"base":11},"right_expr":{"type":"numeric_atoms","value":4197,"base":11}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4658,"base":11},"right_expr":{"type":"numeric_atoms","value":6027,"base":11}}}}},"used_operators":["DIvbN7qnHd","f6k1SAg4EE","srAu1WTS94","SUmda5xLS4","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1679","layer":4},{"info":"number node, value=3281","layer":4},{"info":"compute binary expreesion, left_input=1679, right_input=3281, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-257705","layer":3},{"info":"compute unary expreesion, input=-257705, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=inf","layer":2},{"info":"number node, value=1995","layer":4},{"info":"number node, value=4197","layer":4},{"info":"compute binary expreesion, left_input=1995, right_input=4197, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3724","layer":3},{"info":"number node, value=4658","layer":4},{"info":"number node, value=6027","layer":4},{"info":"compute binary expreesion, left_input=4658, right_input=6027, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1359","layer":3},{"info":"compute binary expreesion, left_input=3724, right_input=-1359, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=8520","layer":2},{"info":"compute binary expreesion, left_input=inf, right_input=8520, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-inf","layer":1},{"info":"compute unary expreesion, input=-inf, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⨵≀≌⋰*⋻1297⪄⋰*⋻2513)⪒⋰*⋻1554≧⫂∧⋰*⋻3176⋳⪒⋰*⋻3555⨰⋰*⋻458A)⊠≄⫣=NaN","reverse_text":"NaN=((⨵≀≌⋰*⋻1297⪄⋰*⋻2513)⪒⋰*⋻1554≧⫂∧⋰*⋻3176⋳⪒⋰*⋻3555⨰⋰*⋻458A)⊠≄⫣","cot":[{"info":"⋰*⋻1297⪄⋰*⋻2513=⋰*⋻-166688","layer":3},{"info":"⨵≀≌⋰*⋻-166688=Inf","layer":2},{"info":"⋰*⋻1554≧⫂∧⋰*⋻3176=⋰*⋻2886","layer":3},{"info":"⋰*⋻3555⨰⋰*⋻458A=⋰*⋻-1026","layer":3},{"info":"⋰*⋻2886⋳⪒⋰*⋻-1026=⋰*⋻6446","layer":2},{"info":"Inf⪒⋰*⋻6446=-Inf","layer":1},{"info":"-Inf⊠≄⫣=NaN","layer":0}]}
{"id":849,"expression_no_base_symbol":"($1962$⨰$3029$⫥∨⫟(⨵≀≌$4699$)*(($2706$↬$3133$)⩠))≹⇙⪍(⨵≀≌($3062$⊭↱$3665$)⫥∨⫟($1860$⫥∨⫟$5966$))","expression":"(⋰*⋻1524⨰⋰*⋻2304⫥∨⫟(⨵≀≌⋰*⋻3592)*((⋰*⋻2040↬⋰*⋻2399)⩠))≹⇙⪍(⨵≀≌(⋰*⋻2334⊭↱⋰*⋻2832)⫥∨⫟(⋰*⋻1441⫥∨⫟⋰*⋻4534))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":501,"operation_count":11,"complexity_ratio":45.54545454545455,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1962,"base":11},"right_expr":{"type":"numeric_atoms","value":3029,"base":11}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":4699,"base":11}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2706,"base":11},"right_expr":{"type":"numeric_atoms","value":3133,"base":11}}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3062,"base":11},"right_expr":{"type":"numeric_atoms","value":3665,"base":11}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1860,"base":11},"right_expr":{"type":"numeric_atoms","value":5966,"base":11}}}}},"used_operators":["AHs5Up7iyr","9HNa5Wba9A","KYD54nUTWz","eewbuw0ToL","srAu1WTS94","sJAwomhLZr","B5M0gjZbta","COABgblf1C"],"dependent_operators":["dWAJyo7jo9","W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1962","layer":4},{"info":"number node, value=3029","layer":4},{"info":"compute binary expreesion, left_input=1962, right_input=3029, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1057","layer":3},{"info":"number node, value=4699","layer":4},{"info":"compute unary expreesion, input=4699, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-14097","layer":3},{"info":"compute binary expreesion, left_input=-1057, right_input=-14097, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=2706","layer":4},{"info":"number node, value=3133","layer":4},{"info":"compute binary expreesion, left_input=2706, right_input=3133, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=3062","layer":4},{"info":"number node, value=3665","layer":4},{"info":"compute binary expreesion, left_input=3062, right_input=3665, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=1211","layer":3},{"info":"number node, value=1860","layer":4},{"info":"number node, value=5966","layer":4},{"info":"compute binary expreesion, left_input=1860, right_input=5966, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1211, 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 = 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 = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1524⨰⋰*⋻2304⫥∨⫟(⨵≀≌⋰*⋻3592)*((⋰*⋻2040↬⋰*⋻2399)⩠))≹⇙⪍(⨵≀≌(⋰*⋻2334⊭↱⋰*⋻2832)⫥∨⫟(⋰*⋻1441⫥∨⫟⋰*⋻4534))=NaN","reverse_text":"NaN=(⋰*⋻1524⨰⋰*⋻2304⫥∨⫟(⨵≀≌⋰*⋻3592)*((⋰*⋻2040↬⋰*⋻2399)⩠))≹⇙⪍(⨵≀≌(⋰*⋻2334⊭↱⋰*⋻2832)⫥∨⫟(⋰*⋻1441⫥∨⫟⋰*⋻4534))","cot":[{"info":"⋰*⋻1524⨰⋰*⋻2304=⋰*⋻-881","layer":3},{"info":"⨵≀≌⋰*⋻3592=⋰*⋻-A656","layer":3},{"info":"⋰*⋻-881⫥∨⫟⋰*⋻-A656=NaN","layer":2},{"info":"⋰*⋻2040↬⋰*⋻2399=NaN","layer":3},{"info":"NaN⩠=NaN","layer":2},{"info":"NaN*NaN=NaN","layer":1},{"info":"⋰*⋻2334⊭↱⋰*⋻2832=⋰*⋻A01","layer":3},{"info":"⋰*⋻1441⫥∨⫟⋰*⋻4534=NaN","layer":3},{"info":"⋰*⋻A01⫥∨⫟NaN=NaN","layer":2},{"info":"⨵≀≌NaN=NaN","layer":1},{"info":"NaN≹⇙⪍NaN=NaN","layer":0}]}
{"id":850,"expression_no_base_symbol":"(((⨰⫟⨤$3573$)⊭↱(⫓⪴$1088$))+⇶⊼($1539$*$5432$*($5921$⇼⇔∾$5531$)))≧⫂∧($1627$∼$4306$⩚⊴⇥$1118$⪛$2805$)⪢((↔$1360$)⩷∴($3899$⋥≓≎$1060$))","expression":"(((⨰⫟⨤⋰*⋻2759)⊭↱(⫓⪴⋰*⋻8AA))+⇶⊼(⋰*⋻117A*⋰*⋻4099*(⋰*⋻44A3⇼⇔∾⋰*⋻4179)))≧⫂∧(⋰*⋻124A∼⋰*⋻3265⩚⊴⇥⋰*⋻927⪛⋰*⋻2120)⪢((↔⋰*⋻1027)⩷∴(⋰*⋻2A25⋥≓≎⋰*⋻884))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":17822,"operation_count":15,"complexity_ratio":1188.1333333333334,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":3573,"base":11}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1088,"base":11}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1539,"base":11},"right_expr":{"type":"numeric_atoms","value":5432,"base":11}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":5921,"base":11},"right_expr":{"type":"numeric_atoms","value":5531,"base":11}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1627,"base":11},"right_expr":{"type":"numeric_atoms","value":4306,"base":11}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1118,"base":11},"right_expr":{"type":"numeric_atoms","value":2805,"base":11}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1360,"base":11}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3899,"base":11},"right_expr":{"type":"numeric_atoms","value":1060,"base":11}}}}},"used_operators":["Ph9nP6C5qx","TpPTUOHfaN","COABgblf1C","Tw270M8GLb","eLxqMNBOBk","9HNa5Wba9A","tifHPKVTfV","dWAJyo7jo9","NTOWxs364D","DyGG3AbaNP","uFcxV4UQCh","9FxExcQeMw","ruOEQAzv1W","Qy55tPpLXF"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3573","layer":4},{"info":"compute unary expreesion, input=3573, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=1088","layer":4},{"info":"compute unary expreesion, input=1088, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1183744","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1183744, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"number node, value=1539","layer":4},{"info":"number node, value=5432","layer":4},{"info":"compute binary expreesion, left_input=1539, right_input=5432, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=8359848","layer":3},{"info":"number node, value=5921","layer":4},{"info":"number node, value=5531","layer":4},{"info":"compute binary expreesion, left_input=5921, right_input=5531, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-390","layer":3},{"info":"compute binary expreesion, left_input=8359848, right_input=-390, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-inf","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-inf, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=1627","layer":4},{"info":"number node, value=4306","layer":4},{"info":"compute binary expreesion, left_input=1627, right_input=4306, 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=1118","layer":4},{"info":"number node, value=2805","layer":4},{"info":"compute binary expreesion, left_input=1118, right_input=2805, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1118","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1118, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"number node, value=1360","layer":4},{"info":"compute unary expreesion, input=1360, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1087","layer":3},{"info":"number node, value=3899","layer":4},{"info":"number node, value=1060","layer":4},{"info":"compute binary expreesion, left_input=3899, right_input=1060, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1746","layer":3},{"info":"compute binary expreesion, left_input=-1087, right_input=-1746, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1286","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1286, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((⨰⫟⨤⋰*⋻2759)⊭↱(⫓⪴⋰*⋻8AA))+⇶⊼(⋰*⋻117A*⋰*⋻4099*(⋰*⋻44A3⇼⇔∾⋰*⋻4179)))≧⫂∧(⋰*⋻124A∼⋰*⋻3265⩚⊴⇥⋰*⋻927⪛⋰*⋻2120)⪢((↔⋰*⋻1027)⩷∴(⋰*⋻2A25⋥≓≎⋰*⋻884))=NaN","reverse_text":"NaN=(((⨰⫟⨤⋰*⋻2759)⊭↱(⫓⪴⋰*⋻8AA))+⇶⊼(⋰*⋻117A*⋰*⋻4099*(⋰*⋻44A3⇼⇔∾⋰*⋻4179)))≧⫂∧(⋰*⋻124A∼⋰*⋻3265⩚⊴⇥⋰*⋻927⪛⋰*⋻2120)⪢((↔⋰*⋻1027)⩷∴(⋰*⋻2A25⋥≓≎⋰*⋻884))","cot":[{"info":"⨰⫟⨤⋰*⋻2759=NaN","layer":3},{"info":"⫓⪴⋰*⋻8AA=⋰*⋻739401","layer":3},{"info":"NaN⊭↱⋰*⋻739401=NaN","layer":2},{"info":"⋰*⋻117A*⋰*⋻4099=⋰*⋻479A972","layer":3},{"info":"⋰*⋻44A3⇼⇔∾⋰*⋻4179=⋰*⋻-325","layer":3},{"info":"⋰*⋻479A972*⋰*⋻-325=-Inf","layer":2},{"info":"NaN+⇶⊼-Inf=NaN","layer":1},{"info":"⋰*⋻124A∼⋰*⋻3265=NaN","layer":3},{"info":"⋰*⋻927⪛⋰*⋻2120=⋰*⋻927","layer":3},{"info":"NaN⩚⊴⇥⋰*⋻927=NaN","layer":2},{"info":"↔⋰*⋻1027=⋰*⋻-8A9","layer":3},{"info":"⋰*⋻2A25⋥≓≎⋰*⋻884=⋰*⋻-1348","layer":3},{"info":"⋰*⋻-8A9⩷∴⋰*⋻-1348=⋰*⋻A6A","layer":2},{"info":"NaN⪢⋰*⋻A6A=NaN","layer":1},{"info":"NaN≧⫂∧NaN=NaN","layer":0}]}
{"id":851,"expression_no_base_symbol":"(↣≠⋷($4255$⋝⋈⪟$2826$⋳⪒(⨑⩽⪐$3315$)))⨁⊸⫻","expression":"(↣≠⋷(⋰*⋻3219⋝⋈⪟⋰*⋻213A⋳⪒(⨑⩽⪐⋰*⋻2544)))⨁⊸⫻","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":18,"operation_count":5,"complexity_ratio":3.6,"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":4255,"base":11},"right_expr":{"type":"numeric_atoms","value":2826,"base":11}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":3315,"base":11}}}}},"used_operators":["glklzrTFfD","Asc51vEJeQ","12rbrZMWeM","2DDjHMKMc0","AF7qkfDlqP"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4255","layer":4},{"info":"number node, value=2826","layer":4},{"info":"compute binary expreesion, left_input=4255, right_input=2826, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4255","layer":3},{"info":"number node, value=3315","layer":4},{"info":"compute unary expreesion, input=3315, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-3042","layer":3},{"info":"compute binary expreesion, left_input=4255, right_input=-3042, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=11265","layer":2},{"info":"compute unary expreesion, input=11265, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(↣≠⋷(⋰*⋻3219⋝⋈⪟⋰*⋻213A⋳⪒(⨑⩽⪐⋰*⋻2544)))⨁⊸⫻=NaN","reverse_text":"NaN=(↣≠⋷(⋰*⋻3219⋝⋈⪟⋰*⋻213A⋳⪒(⨑⩽⪐⋰*⋻2544)))⨁⊸⫻","cot":[{"info":"⋰*⋻3219⋝⋈⪟⋰*⋻213A=⋰*⋻3219","layer":3},{"info":"⨑⩽⪐⋰*⋻2544=⋰*⋻-2316","layer":3},{"info":"⋰*⋻3219⋳⪒⋰*⋻-2316=⋰*⋻8511","layer":2},{"info":"↣≠⋷⋰*⋻8511=NaN","layer":1},{"info":"NaN⨁⊸⫻=NaN","layer":0}]}
{"id":852,"expression_no_base_symbol":"(($4550$≎⊠⪸$6520$)⨟⋌⩍($4709$⋥≓≎$3613$))⪮%⊝($4509$+⇶⊼$5045$-$2295$∲⫓$3271$)⋝⋈⪟(↥($2356$⨪↰⇹$1038$⇼⇔∾$2268$⪄$1562$))","expression":"((⋰*⋻3467≎⊠⪸⋰*⋻4998)⨟⋌⩍(⋰*⋻35A1⋥≓≎⋰*⋻2795))⪮%⊝(⋰*⋻342A+⇶⊼⋰*⋻3877-⋰*⋻17A7∲⫓⋰*⋻2504)⋝⋈⪟(↥(⋰*⋻1852⨪↰⇹⋰*⋻864⇼⇔∾⋰*⋻1782⪄⋰*⋻11A0))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":9417,"operation_count":12,"complexity_ratio":784.75,"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":4550,"base":11},"right_expr":{"type":"numeric_atoms","value":6520,"base":11}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4709,"base":11},"right_expr":{"type":"numeric_atoms","value":3613,"base":11}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4509,"base":11},"right_expr":{"type":"numeric_atoms","value":5045,"base":11}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2295,"base":11},"right_expr":{"type":"numeric_atoms","value":3271,"base":11}}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2356,"base":11},"right_expr":{"type":"numeric_atoms","value":1038,"base":11}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2268,"base":11},"right_expr":{"type":"numeric_atoms","value":1562,"base":11}}}}},"used_operators":["2DDjHMKMc0","IWmyXbctLI","rGHVDoGpnC","bJkvcejdHO","Qy55tPpLXF","rysDP5nf3Z","TpPTUOHfaN","i8ToyICDmI","A8NUZmVepG","tifHPKVTfV","tmPS8pqC7x","SUmda5xLS4"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","Tcnh7f0tEr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4550","layer":4},{"info":"number node, value=6520","layer":4},{"info":"compute binary expreesion, left_input=4550, right_input=6520, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1177977","layer":3},{"info":"number node, value=4709","layer":4},{"info":"number node, value=3613","layer":4},{"info":"compute binary expreesion, left_input=4709, right_input=3613, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2550","layer":3},{"info":"compute binary expreesion, left_input=1177977, right_input=2550, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=4509","layer":4},{"info":"number node, value=5045","layer":4},{"info":"compute binary expreesion, left_input=4509, right_input=5045, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=2295","layer":4},{"info":"number node, value=3271","layer":4},{"info":"compute binary expreesion, left_input=2295, right_input=3271, 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 = rysDP5nf3Z binary_op_definition= 'None', 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=2356","layer":4},{"info":"number node, value=1038","layer":4},{"info":"compute binary expreesion, left_input=2356, right_input=1038, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2356","layer":3},{"info":"number node, value=2268","layer":4},{"info":"number node, value=1562","layer":4},{"info":"compute binary expreesion, left_input=2268, right_input=1562, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-338001","layer":3},{"info":"compute binary expreesion, left_input=2356, right_input=-338001, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-340357","layer":2},{"info":"compute unary expreesion, input=-340357, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=17","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=17, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻3467≎⊠⪸⋰*⋻4998)⨟⋌⩍(⋰*⋻35A1⋥≓≎⋰*⋻2795))⪮%⊝(⋰*⋻342A+⇶⊼⋰*⋻3877-⋰*⋻17A7∲⫓⋰*⋻2504)⋝⋈⪟(↥(⋰*⋻1852⨪↰⇹⋰*⋻864⇼⇔∾⋰*⋻1782⪄⋰*⋻11A0))=NaN","reverse_text":"NaN=((⋰*⋻3467≎⊠⪸⋰*⋻4998)⨟⋌⩍(⋰*⋻35A1⋥≓≎⋰*⋻2795))⪮%⊝(⋰*⋻342A+⇶⊼⋰*⋻3877-⋰*⋻17A7∲⫓⋰*⋻2504)⋝⋈⪟(↥(⋰*⋻1852⨪↰⇹⋰*⋻864⇼⇔∾⋰*⋻1782⪄⋰*⋻11A0))","cot":[{"info":"⋰*⋻3467≎⊠⪸⋰*⋻4998=⋰*⋻735039","layer":3},{"info":"⋰*⋻35A1⋥≓≎⋰*⋻2795=⋰*⋻1A09","layer":3},{"info":"⋰*⋻735039⨟⋌⩍⋰*⋻1A09=NaN","layer":2},{"info":"⋰*⋻342A+⇶⊼⋰*⋻3877=NaN","layer":3},{"info":"⋰*⋻17A7∲⫓⋰*⋻2504=⋰*⋻0","layer":3},{"info":"NaN-⋰*⋻0=NaN","layer":2},{"info":"NaN⪮%⊝NaN=NaN","layer":1},{"info":"⋰*⋻1852⨪↰⇹⋰*⋻864=⋰*⋻1852","layer":3},{"info":"⋰*⋻1782⪄⋰*⋻11A0=⋰*⋻-210A44","layer":3},{"info":"⋰*⋻1852⇼⇔∾⋰*⋻-210A44=⋰*⋻-212796","layer":2},{"info":"↥⋰*⋻-212796=⋰*⋻16","layer":1},{"info":"NaN⋝⋈⪟⋰*⋻16=NaN","layer":0}]}
{"id":853,"expression_no_base_symbol":"($4189$∲⫓$1399$)⨪↰⇹$1585$⪮%⊝$1008$↙($3313$≹⇙⪍$1453$⨵⪆(⊙↵-$1454$))/((⩦⩻⨪$8928$)/($8193$∸))⩚⊴⇥($2281$-$1896$)⪢(⪝⪂⫅$2810$)","expression":"(⋰*⋻3169∲⫓⋰*⋻1062)⨪↰⇹⋰*⋻1211⪮%⊝⋰*⋻837↙(⋰*⋻2542≹⇙⪍⋰*⋻1101⨵⪆(⊙↵-⋰*⋻1102))/((⩦⩻⨪⋰*⋻6787)/(⋰*⋻6179∸))⩚⊴⇥(⋰*⋻1794-⋰*⋻1474)⪢(⪝⪂⫅⋰*⋻2125)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":414970,"operation_count":15,"complexity_ratio":27664.666666666668,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4189,"base":11},"right_expr":{"type":"numeric_atoms","value":1399,"base":11}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1585,"base":11},"right_expr":{"type":"numeric_atoms","value":1008,"base":11}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3313,"base":11},"right_expr":{"type":"numeric_atoms","value":1453,"base":11}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1454,"base":11}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":8928,"base":11}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":8193,"base":11}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2281,"base":11},"right_expr":{"type":"numeric_atoms","value":1896,"base":11}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":2810,"base":11}}}}},"used_operators":["XhwjNDsVaA","yyfyN0ffXY","tmPS8pqC7x","i8ToyICDmI","IWmyXbctLI","2DQ55sFlQl","AHs5Up7iyr","oWn0xqSxBt","NTOWxs364D","2td37pGCOC","o20kRiQErp","dWAJyo7jo9","rysDP5nf3Z","XTarYq4gQB"],"dependent_operators":["rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","k8jYdgA6NY","9HNa5Wba9A","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4189","layer":4},{"info":"number node, value=1399","layer":4},{"info":"compute binary expreesion, left_input=4189, right_input=1399, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1585","layer":4},{"info":"number node, value=1008","layer":4},{"info":"compute binary expreesion, left_input=1585, right_input=1008, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3486","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3486, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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=3313","layer":4},{"info":"number node, value=1453","layer":4},{"info":"compute binary expreesion, left_input=3313, right_input=1453, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=1454","layer":4},{"info":"compute unary expreesion, input=1454, 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 = 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 = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":1},{"info":"number node, value=8928","layer":4},{"info":"compute unary expreesion, input=8928, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=8928","layer":3},{"info":"number node, value=8193","layer":4},{"info":"compute unary expreesion, input=8193, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=8928, right_input=177, op_id = XhwjNDsVaA binary_op_definition= 'None', output=50","layer":2},{"info":"number node, value=2281","layer":4},{"info":"number node, value=1896","layer":4},{"info":"compute binary expreesion, left_input=2281, right_input=1896, op_id = rysDP5nf3Z binary_op_definition= 'None', output=385","layer":3},{"info":"number node, value=2810","layer":4},{"info":"compute unary expreesion, input=2810, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-413070","layer":3},{"info":"compute binary expreesion, left_input=385, right_input=-413070, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=50, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻3169∲⫓⋰*⋻1062)⨪↰⇹⋰*⋻1211⪮%⊝⋰*⋻837↙(⋰*⋻2542≹⇙⪍⋰*⋻1101⨵⪆(⊙↵-⋰*⋻1102))/((⩦⩻⨪⋰*⋻6787)/(⋰*⋻6179∸))⩚⊴⇥(⋰*⋻1794-⋰*⋻1474)⪢(⪝⪂⫅⋰*⋻2125)=NaN","reverse_text":"NaN=(⋰*⋻3169∲⫓⋰*⋻1062)⨪↰⇹⋰*⋻1211⪮%⊝⋰*⋻837↙(⋰*⋻2542≹⇙⪍⋰*⋻1101⨵⪆(⊙↵-⋰*⋻1102))/((⩦⩻⨪⋰*⋻6787)/(⋰*⋻6179∸))⩚⊴⇥(⋰*⋻1794-⋰*⋻1474)⪢(⪝⪂⫅⋰*⋻2125)","cot":[{"info":"⋰*⋻3169∲⫓⋰*⋻1062=⋰*⋻0","layer":3},{"info":"⋰*⋻1211⪮%⊝⋰*⋻837=⋰*⋻268A","layer":3},{"info":"⋰*⋻0⨪↰⇹⋰*⋻268A=⋰*⋻0","layer":2},{"info":"⋰*⋻2542≹⇙⪍⋰*⋻1101=NaN","layer":3},{"info":"⊙↵-⋰*⋻1102=⋰*⋻-1","layer":3},{"info":"NaN⨵⪆⋰*⋻-1=⋰*⋻136","layer":2},{"info":"⋰*⋻0↙⋰*⋻136=⋰*⋻0","layer":1},{"info":"⩦⩻⨪⋰*⋻6787=⋰*⋻6787","layer":3},{"info":"⋰*⋻6179∸=⋰*⋻151","layer":3},{"info":"⋰*⋻6787/⋰*⋻151=⋰*⋻46","layer":2},{"info":"⋰*⋻1794-⋰*⋻1474=⋰*⋻320","layer":3},{"info":"⪝⪂⫅⋰*⋻2125=⋰*⋻-262389","layer":3},{"info":"⋰*⋻320⪢⋰*⋻-262389=NaN","layer":2},{"info":"⋰*⋻46⩚⊴⇥NaN=NaN","layer":1},{"info":"⋰*⋻0/NaN=NaN","layer":0}]}
{"id":854,"expression_no_base_symbol":"≉(($1209$⊦⊿)⫌⩹⨱)⨓(($5400$⋥≓≎$2168$)⨐⩸⫘$5241$∼$1242$)","expression":"≉((⋰*⋻9AA⊦⊿)⫌⩹⨱)⨓((⋰*⋻406A⋥≓≎⋰*⋻16A1)⨐⩸⫘⋰*⋻3A35∼⋰*⋻A2A)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":130,"operation_count":7,"complexity_ratio":18.571428571428573,"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":1209,"base":11}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":5400,"base":11},"right_expr":{"type":"numeric_atoms","value":2168,"base":11}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5241,"base":11},"right_expr":{"type":"numeric_atoms","value":1242,"base":11}}}}},"used_operators":["e1ybzncUwg","3ViojmjbAp","EBcxylXtPf","14qkJME0vr","fu6greOZ01","Qy55tPpLXF","DyGG3AbaNP"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1209","layer":4},{"info":"compute unary expreesion, input=1209, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-3706","layer":3},{"info":"compute unary expreesion, input=-3706, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=-6011","layer":2},{"info":"number node, value=5400","layer":4},{"info":"number node, value=2168","layer":4},{"info":"compute binary expreesion, left_input=5400, right_input=2168, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1031","layer":3},{"info":"number node, value=5241","layer":4},{"info":"number node, value=1242","layer":4},{"info":"compute binary expreesion, left_input=5241, right_input=1242, 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=-1031, 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=-6011, 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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"≉((⋰*⋻9AA⊦⊿)⫌⩹⨱)⨓((⋰*⋻406A⋥≓≎⋰*⋻16A1)⨐⩸⫘⋰*⋻3A35∼⋰*⋻A2A)=NaN","reverse_text":"NaN=≉((⋰*⋻9AA⊦⊿)⫌⩹⨱)⨓((⋰*⋻406A⋥≓≎⋰*⋻16A1)⨐⩸⫘⋰*⋻3A35∼⋰*⋻A2A)","cot":[{"info":"⋰*⋻9AA⊦⊿=⋰*⋻-286A","layer":3},{"info":"⋰*⋻-286A⫌⩹⨱=⋰*⋻-4575","layer":2},{"info":"⋰*⋻406A⋥≓≎⋰*⋻16A1=⋰*⋻-858","layer":3},{"info":"⋰*⋻3A35∼⋰*⋻A2A=NaN","layer":3},{"info":"⋰*⋻-858⨐⩸⫘NaN=NaN","layer":2},{"info":"⋰*⋻-4575⨓NaN=NaN","layer":1},{"info":"≉NaN=NaN","layer":0}]}
{"id":855,"expression_no_base_symbol":"⩦⩻⨪$1307$⪘⫢$1970$≎⊠⪸(≦∁$2047$)⋥≓≎(↯⪼($8315$⇷$1118$))","expression":"⩦⩻⨪⋰*⋻A89⪘⫢⋰*⋻1531≎⊠⪸(≦∁⋰*⋻15A1)⋥≓≎(↯⪼(⋰*⋻627A⇷⋰*⋻927))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":116740,"operation_count":7,"complexity_ratio":16677.14285714286,"tree":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1307,"base":11},"right_expr":{"type":"numeric_atoms","value":1970,"base":11}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2047,"base":11}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":8315,"base":11},"right_expr":{"type":"numeric_atoms","value":1118,"base":11}}}}},"used_operators":["2td37pGCOC","Qy55tPpLXF","bJkvcejdHO","oacrs7FA3X","9ICcGScMcE","8jW3W4yZS5","mp7IySMOzn"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⋰*⋻-400200","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1307","layer":4},{"info":"number node, value=1970","layer":4},{"info":"compute binary expreesion, left_input=1307, right_input=1970, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2490","layer":3},{"info":"number node, value=2047","layer":4},{"info":"compute unary expreesion, input=2047, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2047","layer":3},{"info":"compute binary expreesion, left_input=2490, right_input=2047, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=644437","layer":2},{"info":"number node, value=8315","layer":4},{"info":"number node, value=1118","layer":4},{"info":"compute binary expreesion, left_input=8315, right_input=1118, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2236","layer":3},{"info":"compute unary expreesion, input=2236, 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=644437, right_input=-21, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-644446","layer":1},{"info":"compute unary expreesion, input=-644446, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-644446","layer":0}],"base":11,"result_base":11,"text":"⩦⩻⨪⋰*⋻A89⪘⫢⋰*⋻1531≎⊠⪸(≦∁⋰*⋻15A1)⋥≓≎(↯⪼(⋰*⋻627A⇷⋰*⋻927))=⋰*⋻-400200","reverse_text":"⋰*⋻-400200=⩦⩻⨪⋰*⋻A89⪘⫢⋰*⋻1531≎⊠⪸(≦∁⋰*⋻15A1)⋥≓≎(↯⪼(⋰*⋻627A⇷⋰*⋻927))","cot":[{"info":"⋰*⋻A89⪘⫢⋰*⋻1531=⋰*⋻1964","layer":3},{"info":"≦∁⋰*⋻15A1=⋰*⋻15A1","layer":3},{"info":"⋰*⋻1964≎⊠⪸⋰*⋻15A1=⋰*⋻4001A2","layer":2},{"info":"⋰*⋻627A⇷⋰*⋻927=⋰*⋻1753","layer":3},{"info":"↯⪼⋰*⋻1753=⋰*⋻-1A","layer":2},{"info":"⋰*⋻4001A2⋥≓≎⋰*⋻-1A=⋰*⋻-400200","layer":1},{"info":"⩦⩻⨪⋰*⋻-400200=⋰*⋻-400200","layer":0}]}
{"id":856,"expression_no_base_symbol":"(($5550$⪮%⊝$1677$↙($5058$⇼⇔∾$4135$))⋥≓≎((⨵≀≌$3554$)⊦⊿))∼((⨈⫕$4137$)⨳⩥⨓($1287$≋⫹)⨵⪆(($3745$⫡⨏$1009$)≦≮≮))","expression":"((⋰*⋻4196⪮%⊝⋰*⋻1295↙(⋰*⋻3889⇼⇔∾⋰*⋻311A))⋥≓≎((⨵≀≌⋰*⋻2741)⊦⊿))∼((⨈⫕⋰*⋻3121)⨳⩥⨓(⋰*⋻A70≋⫹)⨵⪆((⋰*⋻28A5⫡⨏⋰*⋻838)≦≮≮))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2012,"operation_count":13,"complexity_ratio":154.76923076923077,"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":5550,"base":11},"right_expr":{"type":"numeric_atoms","value":1677,"base":11}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":5058,"base":11},"right_expr":{"type":"numeric_atoms","value":4135,"base":11}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":3554,"base":11}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":4137,"base":11}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1287,"base":11}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3745,"base":11},"right_expr":{"type":"numeric_atoms","value":1009,"base":11}}}}},"used_operators":["DyGG3AbaNP","Qy55tPpLXF","yyfyN0ffXY","IWmyXbctLI","tifHPKVTfV","14qkJME0vr","srAu1WTS94","2DQ55sFlQl","nCS4ZIUYfx","megm06wKyl","N41Kp7NANJ","D4vGDi5EA2","QMFrweE19q"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5550","layer":4},{"info":"number node, value=1677","layer":4},{"info":"compute binary expreesion, left_input=5550, right_input=1677, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=11416","layer":3},{"info":"number node, value=5058","layer":4},{"info":"number node, value=4135","layer":4},{"info":"compute binary expreesion, left_input=5058, right_input=4135, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-923","layer":3},{"info":"compute binary expreesion, left_input=11416, right_input=-923, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-2769","layer":2},{"info":"number node, value=3554","layer":4},{"info":"compute unary expreesion, input=3554, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-10662","layer":3},{"info":"compute unary expreesion, input=-10662, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=31907","layer":2},{"info":"compute binary expreesion, left_input=-2769, right_input=31907, 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=4137","layer":4},{"info":"compute unary expreesion, input=4137, 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=1287","layer":4},{"info":"compute unary expreesion, input=1287, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2574","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-2574, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2553","layer":2},{"info":"number node, value=3745","layer":4},{"info":"number node, value=1009","layer":4},{"info":"compute binary expreesion, left_input=3745, right_input=1009, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=21526","layer":3},{"info":"compute unary expreesion, input=21526, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-64578","layer":2},{"info":"compute binary expreesion, left_input=-2553, right_input=-64578, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=160, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻4196⪮%⊝⋰*⋻1295↙(⋰*⋻3889⇼⇔∾⋰*⋻311A))⋥≓≎((⨵≀≌⋰*⋻2741)⊦⊿))∼((⨈⫕⋰*⋻3121)⨳⩥⨓(⋰*⋻A70≋⫹)⨵⪆((⋰*⋻28A5⫡⨏⋰*⋻838)≦≮≮))=⋰*⋻0","reverse_text":"⋰*⋻0=((⋰*⋻4196⪮%⊝⋰*⋻1295↙(⋰*⋻3889⇼⇔∾⋰*⋻311A))⋥≓≎((⨵≀≌⋰*⋻2741)⊦⊿))∼((⨈⫕⋰*⋻3121)⨳⩥⨓(⋰*⋻A70≋⫹)⨵⪆((⋰*⋻28A5⫡⨏⋰*⋻838)≦≮≮))","cot":[{"info":"⋰*⋻4196⪮%⊝⋰*⋻1295=⋰*⋻8639","layer":3},{"info":"⋰*⋻3889⇼⇔∾⋰*⋻311A=⋰*⋻-76A","layer":3},{"info":"⋰*⋻8639↙⋰*⋻-76A=⋰*⋻-2098","layer":2},{"info":"⨵≀≌⋰*⋻2741=⋰*⋻-8013","layer":3},{"info":"⋰*⋻-8013⊦⊿=⋰*⋻21A77","layer":2},{"info":"⋰*⋻-2098⋥≓≎⋰*⋻21A77=⋰*⋻61","layer":1},{"info":"⨈⫕⋰*⋻3121=⋰*⋻-1A","layer":3},{"info":"⋰*⋻A70≋⫹=⋰*⋻-1A30","layer":3},{"info":"⋰*⋻-1A⨳⩥⨓⋰*⋻-1A30=⋰*⋻-1A11","layer":2},{"info":"⋰*⋻28A5⫡⨏⋰*⋻838=⋰*⋻1519A","layer":3},{"info":"⋰*⋻1519A≦≮≮=⋰*⋻-44578","layer":2},{"info":"⋰*⋻-1A11⨵⪆⋰*⋻-44578=⋰*⋻136","layer":1},{"info":"⋰*⋻61∼⋰*⋻136=⋰*⋻0","layer":0}]}
{"id":857,"expression_no_base_symbol":"(⨈⫕($1228$⨳⩥⨓$3667$∲⫓(⫓⪴$4037$)))↬((⨰⫟⨤$5716$)∧)⨟⋌⩍(↣≠⋷($4661$⋥≓≎$2767$))","expression":"(⨈⫕(⋰*⋻A17⨳⩥⨓⋰*⋻2834∲⫓(⫓⪴⋰*⋻3040)))↬((⨰⫟⨤⋰*⋻4327)∧)⨟⋌⩍(↣≠⋷(⋰*⋻3558⋥≓≎⋰*⋻2096))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":847324,"operation_count":10,"complexity_ratio":84732.4,"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":1228,"base":11},"right_expr":{"type":"numeric_atoms","value":3667,"base":11}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":4037,"base":11}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":5716,"base":11}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4661,"base":11},"right_expr":{"type":"numeric_atoms","value":2767,"base":11}}}}},"used_operators":["B5M0gjZbta","megm06wKyl","i8ToyICDmI","nCS4ZIUYfx","eLxqMNBOBk","rGHVDoGpnC","z63VuFQld9","Tw270M8GLb","Asc51vEJeQ","Qy55tPpLXF"],"dependent_operators":["rGHVDoGpnC","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","Tcnh7f0tEr","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1228","layer":4},{"info":"number node, value=3667","layer":4},{"info":"compute binary expreesion, left_input=1228, right_input=3667, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2439","layer":3},{"info":"number node, value=4037","layer":4},{"info":"compute unary expreesion, input=4037, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=16297369","layer":3},{"info":"compute binary expreesion, left_input=2439, right_input=16297369, 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 = 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=5716","layer":4},{"info":"compute unary expreesion, input=5716, 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 = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":2},{"info":"number node, value=4661","layer":4},{"info":"number node, value=2767","layer":4},{"info":"compute binary expreesion, left_input=4661, right_input=2767, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=906","layer":3},{"info":"compute unary expreesion, input=906, 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 = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=-21, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⨈⫕(⋰*⋻A17⨳⩥⨓⋰*⋻2834∲⫓(⫓⪴⋰*⋻3040)))↬((⨰⫟⨤⋰*⋻4327)∧)⨟⋌⩍(↣≠⋷(⋰*⋻3558⋥≓≎⋰*⋻2096))=NaN","reverse_text":"NaN=(⨈⫕(⋰*⋻A17⨳⩥⨓⋰*⋻2834∲⫓(⫓⪴⋰*⋻3040)))↬((⨰⫟⨤⋰*⋻4327)∧)⨟⋌⩍(↣≠⋷(⋰*⋻3558⋥≓≎⋰*⋻2096))","cot":[{"info":"⋰*⋻A17⨳⩥⨓⋰*⋻2834=⋰*⋻1918","layer":3},{"info":"⫓⪴⋰*⋻3040=⋰*⋻9221500","layer":3},{"info":"⋰*⋻1918∲⫓⋰*⋻9221500=⋰*⋻0","layer":2},{"info":"⨈⫕⋰*⋻0=⋰*⋻-1A","layer":1},{"info":"⨰⫟⨤⋰*⋻4327=NaN","layer":3},{"info":"NaN∧=NaN","layer":2},{"info":"⋰*⋻3558⋥≓≎⋰*⋻2096=⋰*⋻754","layer":3},{"info":"↣≠⋷⋰*⋻754=NaN","layer":2},{"info":"NaN⨟⋌⩍NaN=NaN","layer":1},{"info":"⋰*⋻-1A↬NaN=NaN","layer":0}]}
{"id":858,"expression_no_base_symbol":"($1803$∼$1042$⪘⫢($1921$⇼⇔∾$7941$))∀⇚≩(($2021$⇼⇔∾$2802$)⋝⋈⪟($3542$⨸⪁$1499$))⊠≄⫣","expression":"(⋰*⋻139A∼⋰*⋻868⪘⫢(⋰*⋻1497⇼⇔∾⋰*⋻5A6A))∀⇚≩((⋰*⋻1578⇼⇔∾⋰*⋻2118)⋝⋈⪟(⋰*⋻2730⨸⪁⋰*⋻1143))⊠≄⫣","highest_n_order":4,"priority_hierarchical_complexity":5,"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":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1803,"base":11},"right_expr":{"type":"numeric_atoms","value":1042,"base":11}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1921,"base":11},"right_expr":{"type":"numeric_atoms","value":7941,"base":11}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2021,"base":11},"right_expr":{"type":"numeric_atoms","value":2802,"base":11}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3542,"base":11},"right_expr":{"type":"numeric_atoms","value":1499,"base":11}}}}},"used_operators":["DIvbN7qnHd","LRNGc0VcxI","oacrs7FA3X","DyGG3AbaNP","tifHPKVTfV","2DDjHMKMc0","g55IO6H4Gj"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=1803","layer":4},{"info":"number node, value=1042","layer":4},{"info":"compute binary expreesion, left_input=1803, right_input=1042, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=1921","layer":4},{"info":"number node, value=7941","layer":4},{"info":"compute binary expreesion, left_input=1921, right_input=7941, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=6020","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6020, 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=2021","layer":4},{"info":"number node, value=2802","layer":4},{"info":"compute binary expreesion, left_input=2021, right_input=2802, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=781","layer":3},{"info":"number node, value=3542","layer":4},{"info":"number node, value=1499","layer":4},{"info":"compute binary expreesion, left_input=3542, right_input=1499, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10082","layer":3},{"info":"compute binary expreesion, left_input=781, right_input=10082, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=781","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=781, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻139A∼⋰*⋻868⪘⫢(⋰*⋻1497⇼⇔∾⋰*⋻5A6A))∀⇚≩((⋰*⋻1578⇼⇔∾⋰*⋻2118)⋝⋈⪟(⋰*⋻2730⨸⪁⋰*⋻1143))⊠≄⫣=NaN","reverse_text":"NaN=(⋰*⋻139A∼⋰*⋻868⪘⫢(⋰*⋻1497⇼⇔∾⋰*⋻5A6A))∀⇚≩((⋰*⋻1578⇼⇔∾⋰*⋻2118)⋝⋈⪟(⋰*⋻2730⨸⪁⋰*⋻1143))⊠≄⫣","cot":[{"info":"⋰*⋻139A∼⋰*⋻868=NaN","layer":3},{"info":"⋰*⋻1497⇼⇔∾⋰*⋻5A6A=⋰*⋻4583","layer":3},{"info":"NaN⪘⫢⋰*⋻4583=NaN","layer":2},{"info":"⋰*⋻1578⇼⇔∾⋰*⋻2118=⋰*⋻650","layer":3},{"info":"⋰*⋻2730⨸⪁⋰*⋻1143=⋰*⋻7636","layer":3},{"info":"⋰*⋻650⋝⋈⪟⋰*⋻7636=⋰*⋻650","layer":2},{"info":"NaN∀⇚≩⋰*⋻650=NaN","layer":1},{"info":"NaN⊠≄⫣=NaN","layer":0}]}
{"id":859,"expression_no_base_symbol":"(⨵≀≌(≦∁$3198$)⋝⋈⪟(⇁⨣⪵$5918$))⪨≂($3801$⋳⪒$1394$⊉≛↸$2207$⨐⩸⫘$4225$)⨪↰⇹(($1302$⊘)⋳⪒($1651$⋥≓≎$1802$))","expression":"(⨵≀≌(≦∁⋰*⋻2448)⋝⋈⪟(⇁⨣⪵⋰*⋻44A0))⪨≂(⋰*⋻2946⋳⪒⋰*⋻1058⊉≛↸⋰*⋻1727⨐⩸⫘⋰*⋻31A1)⨪↰⇹((⋰*⋻A84⊘)⋳⪒(⋰*⋻1271⋥≓≎⋰*⋻1399))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":11895,"operation_count":12,"complexity_ratio":991.25,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":3198,"base":11}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":5918,"base":11}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3801,"base":11},"right_expr":{"type":"numeric_atoms","value":1394,"base":11}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2207,"base":11},"right_expr":{"type":"numeric_atoms","value":4225,"base":11}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1302,"base":11}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1651,"base":11},"right_expr":{"type":"numeric_atoms","value":1802,"base":11}}}}},"used_operators":["sdazOOVcIp","srAu1WTS94","2DDjHMKMc0","9ICcGScMcE","inkyxCbjAn","tmPS8pqC7x","DZ8iAZOCBD","12rbrZMWeM","fu6greOZ01","gu96TGCTMs","Qy55tPpLXF"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","B5M0gjZbta","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3198","layer":4},{"info":"compute unary expreesion, input=3198, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3198","layer":3},{"info":"number node, value=5918","layer":4},{"info":"compute unary expreesion, input=5918, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3198, 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 = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=nan","layer":1},{"info":"number node, value=3801","layer":4},{"info":"number node, value=1394","layer":4},{"info":"compute binary expreesion, left_input=3801, right_input=1394, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=5921","layer":3},{"info":"number node, value=2207","layer":4},{"info":"number node, value=4225","layer":4},{"info":"compute binary expreesion, left_input=2207, right_input=4225, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=5921, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=11842","layer":2},{"info":"number node, value=1302","layer":4},{"info":"compute unary expreesion, input=1302, 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=1651","layer":4},{"info":"number node, value=1802","layer":4},{"info":"compute binary expreesion, left_input=1651, right_input=1802, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1986","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1986, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-2273","layer":2},{"info":"compute binary expreesion, left_input=11842, right_input=-2273, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=11842","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=11842, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⨵≀≌(≦∁⋰*⋻2448)⋝⋈⪟(⇁⨣⪵⋰*⋻44A0))⪨≂(⋰*⋻2946⋳⪒⋰*⋻1058⊉≛↸⋰*⋻1727⨐⩸⫘⋰*⋻31A1)⨪↰⇹((⋰*⋻A84⊘)⋳⪒(⋰*⋻1271⋥≓≎⋰*⋻1399))=NaN","reverse_text":"NaN=(⨵≀≌(≦∁⋰*⋻2448)⋝⋈⪟(⇁⨣⪵⋰*⋻44A0))⪨≂(⋰*⋻2946⋳⪒⋰*⋻1058⊉≛↸⋰*⋻1727⨐⩸⫘⋰*⋻31A1)⨪↰⇹((⋰*⋻A84⊘)⋳⪒(⋰*⋻1271⋥≓≎⋰*⋻1399))","cot":[{"info":"≦∁⋰*⋻2448=⋰*⋻2448","layer":3},{"info":"⇁⨣⪵⋰*⋻44A0=NaN","layer":3},{"info":"⋰*⋻2448⋝⋈⪟NaN=NaN","layer":2},{"info":"⨵≀≌NaN=NaN","layer":1},{"info":"⋰*⋻2946⋳⪒⋰*⋻1058=⋰*⋻44A3","layer":3},{"info":"⋰*⋻1727⨐⩸⫘⋰*⋻31A1=NaN","layer":3},{"info":"⋰*⋻44A3⊉≛↸NaN=⋰*⋻8996","layer":2},{"info":"⋰*⋻A84⊘=⋰*⋻0","layer":3},{"info":"⋰*⋻1271⋥≓≎⋰*⋻1399=⋰*⋻1546","layer":3},{"info":"⋰*⋻0⋳⪒⋰*⋻1546=⋰*⋻-1787","layer":2},{"info":"⋰*⋻8996⨪↰⇹⋰*⋻-1787=⋰*⋻8996","layer":1},{"info":"NaN⪨≂⋰*⋻8996=NaN","layer":0}]}
{"id":860,"expression_no_base_symbol":"((⊥$4969$≹⇙⪍$3414$)∀⇚≩($3254$⇷$1428$≎⊠⪸($7474$⩠)))⨪↰⇹(⪝⪂⫅($2949$⨸⪁$1677$)≹⇙⪍($8050$⩨$3171$))","expression":"((⊥⋰*⋻3808≹⇙⪍⋰*⋻2624)∀⇚≩(⋰*⋻2499⇷⋰*⋻1089≎⊠⪸(⋰*⋻5685⩠)))⨪↰⇹(⪝⪂⫅(⋰*⋻2241⨸⪁⋰*⋻1295)≹⇙⪍(⋰*⋻6059⩨⋰*⋻2423))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":46012,"operation_count":11,"complexity_ratio":4182.909090909091,"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":4969,"base":11},"right_expr":{"type":"numeric_atoms","value":3414,"base":11}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3254,"base":11},"right_expr":{"type":"numeric_atoms","value":1428,"base":11}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":7474,"base":11}}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2949,"base":11},"right_expr":{"type":"numeric_atoms","value":1677,"base":11}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":8050,"base":11},"right_expr":{"type":"numeric_atoms","value":3171,"base":11}}}}},"used_operators":["tmPS8pqC7x","LRNGc0VcxI","Q3PJZHRvZv","AHs5Up7iyr","bJkvcejdHO","mp7IySMOzn","sJAwomhLZr","XTarYq4gQB","g55IO6H4Gj","2DlMacCsIx"],"dependent_operators":["rJVOvQCfKK","X99M06cbEe","fu6greOZ01","dWAJyo7jo9","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4969","layer":4},{"info":"number node, value=3414","layer":4},{"info":"compute binary expreesion, left_input=4969, right_input=3414, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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":"number node, value=3254","layer":4},{"info":"number node, value=1428","layer":4},{"info":"compute binary expreesion, left_input=3254, right_input=1428, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2856","layer":3},{"info":"number node, value=7474","layer":4},{"info":"compute unary expreesion, input=7474, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2856, right_input=0, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=739231","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=739231, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=2949","layer":4},{"info":"number node, value=1677","layer":4},{"info":"compute binary expreesion, left_input=2949, right_input=1677, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9252","layer":3},{"info":"number node, value=8050","layer":4},{"info":"number node, value=3171","layer":4},{"info":"compute binary expreesion, left_input=8050, right_input=3171, 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=9252, 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=9252","layer":2},{"info":"compute unary expreesion, input=9252, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-1360044","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1360044, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⊥⋰*⋻3808≹⇙⪍⋰*⋻2624)∀⇚≩(⋰*⋻2499⇷⋰*⋻1089≎⊠⪸(⋰*⋻5685⩠)))⨪↰⇹(⪝⪂⫅(⋰*⋻2241⨸⪁⋰*⋻1295)≹⇙⪍(⋰*⋻6059⩨⋰*⋻2423))=NaN","reverse_text":"NaN=((⊥⋰*⋻3808≹⇙⪍⋰*⋻2624)∀⇚≩(⋰*⋻2499⇷⋰*⋻1089≎⊠⪸(⋰*⋻5685⩠)))⨪↰⇹(⪝⪂⫅(⋰*⋻2241⨸⪁⋰*⋻1295)≹⇙⪍(⋰*⋻6059⩨⋰*⋻2423))","cot":[{"info":"⋰*⋻3808≹⇙⪍⋰*⋻2624=NaN","layer":3},{"info":"⊥NaN=NaN","layer":2},{"info":"⋰*⋻2499⇷⋰*⋻1089=⋰*⋻2167","layer":3},{"info":"⋰*⋻5685⩠=⋰*⋻0","layer":3},{"info":"⋰*⋻2167≎⊠⪸⋰*⋻0=⋰*⋻465439","layer":2},{"info":"NaN∀⇚≩⋰*⋻465439=NaN","layer":1},{"info":"⋰*⋻2241⨸⪁⋰*⋻1295=⋰*⋻6A51","layer":3},{"info":"⋰*⋻6059⩨⋰*⋻2423=⋰*⋻0","layer":3},{"info":"⋰*⋻6A51≹⇙⪍⋰*⋻0=⋰*⋻6A51","layer":2},{"info":"⪝⪂⫅⋰*⋻6A51=⋰*⋻-849904","layer":1},{"info":"NaN⨪↰⇹⋰*⋻-849904=NaN","layer":0}]}
{"id":861,"expression_no_base_symbol":"(⫛⫱⨽(($1250$⨁⊸⫻)⫥∨⫟(↔$2969$)))+⇶⊼(($1375$⩨$1572$)⨟⋌⩍($4451$≫≃)⫥∨⫟((-$1359$)⋷($1438$≣⋋)))","expression":"(⫛⫱⨽((⋰*⋻A37⨁⊸⫻)⫥∨⫟(↔⋰*⋻225A)))+⇶⊼((⋰*⋻1040⩨⋰*⋻11AA)⨟⋌⩍(⋰*⋻3387≫≃)⫥∨⫟((-⋰*⋻1026)⋷(⋰*⋻1098≣⋋)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1758,"operation_count":12,"complexity_ratio":146.5,"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":1250,"base":11}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2969,"base":11}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1375,"base":11},"right_expr":{"type":"numeric_atoms","value":1572,"base":11}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":4451,"base":11}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1359,"base":11}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":1438,"base":11}}}}},"used_operators":["TpPTUOHfaN","DlLNRPXxWL","KYD54nUTWz","glklzrTFfD","ruOEQAzv1W","rGHVDoGpnC","2DlMacCsIx","X99M06cbEe","23Mk6UjR3U","t8gj7n24qd","Tcnh7f0tEr"],"dependent_operators":["AHs5Up7iyr","rGHVDoGpnC","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","Tcnh7f0tEr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1250","layer":4},{"info":"compute unary expreesion, input=1250, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1250","layer":3},{"info":"number node, value=2969","layer":4},{"info":"compute unary expreesion, input=2969, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2696","layer":3},{"info":"compute binary expreesion, left_input=1250, right_input=-2696, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽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=1375","layer":4},{"info":"number node, value=1572","layer":4},{"info":"compute binary expreesion, left_input=1375, right_input=1572, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=4451","layer":4},{"info":"compute unary expreesion, input=4451, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=10303","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=10303, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1359","layer":4},{"info":"compute unary expreesion, input=1359, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1359","layer":3},{"info":"number node, value=1438","layer":4},{"info":"compute unary expreesion, input=1438, 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=-1359, right_input=0, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2718","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2718, 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":11,"result_base":11,"text":"(⫛⫱⨽((⋰*⋻A37⨁⊸⫻)⫥∨⫟(↔⋰*⋻225A)))+⇶⊼((⋰*⋻1040⩨⋰*⋻11AA)⨟⋌⩍(⋰*⋻3387≫≃)⫥∨⫟((-⋰*⋻1026)⋷(⋰*⋻1098≣⋋)))=NaN","reverse_text":"NaN=(⫛⫱⨽((⋰*⋻A37⨁⊸⫻)⫥∨⫟(↔⋰*⋻225A)))+⇶⊼((⋰*⋻1040⩨⋰*⋻11AA)⨟⋌⩍(⋰*⋻3387≫≃)⫥∨⫟((-⋰*⋻1026)⋷(⋰*⋻1098≣⋋)))","cot":[{"info":"⋰*⋻A37⨁⊸⫻=⋰*⋻A37","layer":3},{"info":"↔⋰*⋻225A=⋰*⋻-2031","layer":3},{"info":"⋰*⋻A37⫥∨⫟⋰*⋻-2031=NaN","layer":2},{"info":"⫛⫱⨽NaN=NaN","layer":1},{"info":"⋰*⋻1040⩨⋰*⋻11AA=⋰*⋻-3","layer":3},{"info":"⋰*⋻3387≫≃=⋰*⋻7817","layer":3},{"info":"⋰*⋻-3⨟⋌⩍⋰*⋻7817=NaN","layer":2},{"info":"-⋰*⋻1026=⋰*⋻-1026","layer":3},{"info":"⋰*⋻1098≣⋋=⋰*⋻0","layer":3},{"info":"⋰*⋻-1026⋷⋰*⋻0=⋰*⋻2051","layer":2},{"info":"NaN⫥∨⫟⋰*⋻2051=NaN","layer":1},{"info":"NaN+⇶⊼NaN=NaN","layer":0}]}
{"id":862,"expression_no_base_symbol":"(+⊝⨔($3443$⪮%⊝$5332$⋳⪒$1407$⩚⊴⇥$8114$))⊭↱((⨰⫟⨤($3523$⊉≛↸$4976$))-$1563$↺$2956$⊉≛↸$1043$⩚⊴⇥$4335$)","expression":"(+⊝⨔(⋰*⋻2650⪮%⊝⋰*⋻4008⋳⪒⋰*⋻106A⩚⊴⇥⋰*⋻6107))⊭↱((⨰⫟⨤(⋰*⋻2713⊉≛↸⋰*⋻3814))-⋰*⋻11A1↺⋰*⋻2248⊉≛↸⋰*⋻869⩚⊴⇥⋰*⋻3291)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":27419,"operation_count":11,"complexity_ratio":2492.6363636363635,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3443,"base":11},"right_expr":{"type":"numeric_atoms","value":5332,"base":11}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1407,"base":11},"right_expr":{"type":"numeric_atoms","value":8114,"base":11}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3523,"base":11},"right_expr":{"type":"numeric_atoms","value":4976,"base":11}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1563,"base":11},"right_expr":{"type":"numeric_atoms","value":2956,"base":11}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1043,"base":11},"right_expr":{"type":"numeric_atoms","value":4335,"base":11}}}}},"used_operators":["COABgblf1C","DhbWaqg5eL","12rbrZMWeM","IWmyXbctLI","NTOWxs364D","rysDP5nf3Z","Tw270M8GLb","DZ8iAZOCBD","7j4O788W3g"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3443","layer":4},{"info":"number node, value=5332","layer":4},{"info":"compute binary expreesion, left_input=3443, right_input=5332, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=7202","layer":3},{"info":"number node, value=1407","layer":4},{"info":"number node, value=8114","layer":4},{"info":"compute binary expreesion, left_input=1407, right_input=8114, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-9642","layer":3},{"info":"compute binary expreesion, left_input=7202, right_input=-9642, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=23759","layer":2},{"info":"compute unary expreesion, input=23759, 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=3523","layer":4},{"info":"number node, value=4976","layer":4},{"info":"compute binary expreesion, left_input=3523, right_input=4976, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=7046","layer":3},{"info":"compute unary expreesion, input=7046, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=1563","layer":4},{"info":"number node, value=2956","layer":4},{"info":"compute binary expreesion, left_input=1563, right_input=2956, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2956","layer":3},{"info":"number node, value=1043","layer":4},{"info":"number node, value=4335","layer":4},{"info":"compute binary expreesion, left_input=1043, right_input=4335, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5499","layer":3},{"info":"compute binary expreesion, left_input=2956, right_input=-5499, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5912","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5912, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1522, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(+⊝⨔(⋰*⋻2650⪮%⊝⋰*⋻4008⋳⪒⋰*⋻106A⩚⊴⇥⋰*⋻6107))⊭↱((⨰⫟⨤(⋰*⋻2713⊉≛↸⋰*⋻3814))-⋰*⋻11A1↺⋰*⋻2248⊉≛↸⋰*⋻869⩚⊴⇥⋰*⋻3291)=NaN","reverse_text":"NaN=(+⊝⨔(⋰*⋻2650⪮%⊝⋰*⋻4008⋳⪒⋰*⋻106A⩚⊴⇥⋰*⋻6107))⊭↱((⨰⫟⨤(⋰*⋻2713⊉≛↸⋰*⋻3814))-⋰*⋻11A1↺⋰*⋻2248⊉≛↸⋰*⋻869⩚⊴⇥⋰*⋻3291)","cot":[{"info":"⋰*⋻2650⪮%⊝⋰*⋻4008=⋰*⋻5458","layer":3},{"info":"⋰*⋻106A⩚⊴⇥⋰*⋻6107=⋰*⋻-7276","layer":3},{"info":"⋰*⋻5458⋳⪒⋰*⋻-7276=⋰*⋻1693A","layer":2},{"info":"+⊝⨔⋰*⋻1693A=⋰*⋻1164","layer":1},{"info":"⋰*⋻2713⊉≛↸⋰*⋻3814=⋰*⋻5326","layer":3},{"info":"⨰⫟⨤⋰*⋻5326=NaN","layer":2},{"info":"⋰*⋻11A1↺⋰*⋻2248=⋰*⋻2248","layer":3},{"info":"⋰*⋻869⩚⊴⇥⋰*⋻3291=⋰*⋻-414A","layer":3},{"info":"⋰*⋻2248⊉≛↸⋰*⋻-414A=⋰*⋻4495","layer":2},{"info":"NaN-⋰*⋻4495=NaN","layer":1},{"info":"⋰*⋻1164⊭↱NaN=NaN","layer":0}]}
{"id":863,"expression_no_base_symbol":"($6792$⋝⋈⪟$1024$)⨟⋌⩍($2008$⨸⪁$4424$)⊭↱($1498$⫥∨⫟$3856$)+⇶⊼($1424$⨐⩸⫘$2631$)⨸⪁(($3686$⨳⩥⨓$1654$)⇷($2480$%$1436$)∲⫓($2064$⩷∴$2385$)⪢(⇁⨣⪵$5623$))","expression":"(⋰*⋻5115⋝⋈⪟⋰*⋻851)⨟⋌⩍(⋰*⋻1566⨸⪁⋰*⋻3362)⊭↱(⋰*⋻1142⫥∨⫟⋰*⋻2996)+⇶⊼(⋰*⋻1085⨐⩸⫘⋰*⋻1A82)⨸⪁((⋰*⋻2851⨳⩥⨓⋰*⋻1274)⇷(⋰*⋻1955%⋰*⋻1096)∲⫓(⋰*⋻1607⩷∴⋰*⋻1879)⪢(⇁⨣⪵⋰*⋻4252))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":28640,"operation_count":15,"complexity_ratio":1909.3333333333333,"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":6792,"base":11},"right_expr":{"type":"numeric_atoms","value":1024,"base":11}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2008,"base":11},"right_expr":{"type":"numeric_atoms","value":4424,"base":11}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1498,"base":11},"right_expr":{"type":"numeric_atoms","value":3856,"base":11}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1424,"base":11},"right_expr":{"type":"numeric_atoms","value":2631,"base":11}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3686,"base":11},"right_expr":{"type":"numeric_atoms","value":1654,"base":11}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2480,"base":11},"right_expr":{"type":"numeric_atoms","value":1436,"base":11}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2064,"base":11},"right_expr":{"type":"numeric_atoms","value":2385,"base":11}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":5623,"base":11}}}}},"used_operators":["g55IO6H4Gj","COABgblf1C","rGHVDoGpnC","2DDjHMKMc0","TpPTUOHfaN","KYD54nUTWz","fu6greOZ01","i8ToyICDmI","mp7IySMOzn","nCS4ZIUYfx","k8jYdgA6NY","dWAJyo7jo9","9FxExcQeMw","inkyxCbjAn"],"dependent_operators":["W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","k8jYdgA6NY","rysDP5nf3Z","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6792","layer":4},{"info":"number node, value=1024","layer":4},{"info":"compute binary expreesion, left_input=6792, right_input=1024, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6792","layer":3},{"info":"number node, value=2008","layer":4},{"info":"number node, value=4424","layer":4},{"info":"compute binary expreesion, left_input=2008, right_input=4424, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=12864","layer":3},{"info":"compute binary expreesion, left_input=6792, right_input=12864, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1498","layer":4},{"info":"number node, value=3856","layer":4},{"info":"compute binary expreesion, left_input=1498, right_input=3856, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1424","layer":4},{"info":"number node, value=2631","layer":4},{"info":"compute binary expreesion, left_input=1424, right_input=2631, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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":"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=3686","layer":4},{"info":"number node, value=1654","layer":4},{"info":"compute binary expreesion, left_input=3686, right_input=1654, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2032","layer":3},{"info":"number node, value=2480","layer":4},{"info":"number node, value=1436","layer":4},{"info":"compute binary expreesion, left_input=2480, right_input=1436, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1044","layer":3},{"info":"compute binary expreesion, left_input=-2032, right_input=1044, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2088","layer":2},{"info":"number node, value=2064","layer":4},{"info":"number node, value=2385","layer":4},{"info":"compute binary expreesion, left_input=2064, right_input=2385, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-674","layer":3},{"info":"number node, value=5623","layer":4},{"info":"compute unary expreesion, input=5623, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-674, 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=2088, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻5115⋝⋈⪟⋰*⋻851)⨟⋌⩍(⋰*⋻1566⨸⪁⋰*⋻3362)⊭↱(⋰*⋻1142⫥∨⫟⋰*⋻2996)+⇶⊼(⋰*⋻1085⨐⩸⫘⋰*⋻1A82)⨸⪁((⋰*⋻2851⨳⩥⨓⋰*⋻1274)⇷(⋰*⋻1955%⋰*⋻1096)∲⫓(⋰*⋻1607⩷∴⋰*⋻1879)⪢(⇁⨣⪵⋰*⋻4252))=NaN","reverse_text":"NaN=(⋰*⋻5115⋝⋈⪟⋰*⋻851)⨟⋌⩍(⋰*⋻1566⨸⪁⋰*⋻3362)⊭↱(⋰*⋻1142⫥∨⫟⋰*⋻2996)+⇶⊼(⋰*⋻1085⨐⩸⫘⋰*⋻1A82)⨸⪁((⋰*⋻2851⨳⩥⨓⋰*⋻1274)⇷(⋰*⋻1955%⋰*⋻1096)∲⫓(⋰*⋻1607⩷∴⋰*⋻1879)⪢(⇁⨣⪵⋰*⋻4252))","cot":[{"info":"⋰*⋻5115⋝⋈⪟⋰*⋻851=⋰*⋻5115","layer":3},{"info":"⋰*⋻1566⨸⪁⋰*⋻3362=⋰*⋻9735","layer":3},{"info":"⋰*⋻5115⨟⋌⩍⋰*⋻9735=NaN","layer":2},{"info":"⋰*⋻1142⫥∨⫟⋰*⋻2996=NaN","layer":3},{"info":"⋰*⋻1085⨐⩸⫘⋰*⋻1A82=NaN","layer":3},{"info":"NaN+⇶⊼NaN=NaN","layer":2},{"info":"NaN⊭↱NaN=NaN","layer":1},{"info":"⋰*⋻2851⨳⩥⨓⋰*⋻1274=⋰*⋻-1588","layer":3},{"info":"⋰*⋻1955%⋰*⋻1096=⋰*⋻86A","layer":3},{"info":"⋰*⋻-1588⇷⋰*⋻86A=⋰*⋻1629","layer":2},{"info":"⋰*⋻1607⩷∴⋰*⋻1879=⋰*⋻-563","layer":3},{"info":"⇁⨣⪵⋰*⋻4252=NaN","layer":3},{"info":"⋰*⋻-563⪢NaN=NaN","layer":2},{"info":"⋰*⋻1629∲⫓NaN=NaN","layer":1},{"info":"NaN⨸⪁NaN=NaN","layer":0}]}
{"id":864,"expression_no_base_symbol":"(($1000$*$3057$⫡⨏$1596$∲⫓$3534$)⊘)⊦⊿","expression":"((⋰*⋻82A*⋰*⋻232A⫡⨏⋰*⋻1221∲⫓⋰*⋻2723)⊘)⊦⊿","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1034,"operation_count":5,"complexity_ratio":206.8,"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":1000,"base":11},"right_expr":{"type":"numeric_atoms","value":3057,"base":11}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1596,"base":11},"right_expr":{"type":"numeric_atoms","value":3534,"base":11}}}}},"used_operators":["14qkJME0vr","gu96TGCTMs","QMFrweE19q","9HNa5Wba9A","i8ToyICDmI"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻-72","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1000","layer":4},{"info":"number node, value=3057","layer":4},{"info":"compute binary expreesion, left_input=1000, right_input=3057, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3057000","layer":3},{"info":"number node, value=1596","layer":4},{"info":"number node, value=3534","layer":4},{"info":"compute binary expreesion, left_input=1596, right_input=3534, 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=3057000, 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=15285783","layer":2},{"info":"compute unary expreesion, input=15285783, 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 = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-79","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻82A*⋰*⋻232A⫡⨏⋰*⋻1221∲⫓⋰*⋻2723)⊘)⊦⊿=⋰*⋻-72","reverse_text":"⋰*⋻-72=((⋰*⋻82A*⋰*⋻232A⫡⨏⋰*⋻1221∲⫓⋰*⋻2723)⊘)⊦⊿","cot":[{"info":"⋰*⋻82A*⋰*⋻232A=⋰*⋻17A8851","layer":3},{"info":"⋰*⋻1221∲⫓⋰*⋻2723=⋰*⋻0","layer":3},{"info":"⋰*⋻17A8851⫡⨏⋰*⋻0=⋰*⋻86A0487","layer":2},{"info":"⋰*⋻86A0487⊘=⋰*⋻0","layer":1},{"info":"⋰*⋻0⊦⊿=⋰*⋻-72","layer":0}]}
{"id":865,"expression_no_base_symbol":"$1792$+$7979$⫡⨏$7336$⪄$4045$/(⋗⩬⋾$1473$)⇼⇔∾(↣≠⋷$2625$)⫡⨏($1442$⊪)≹⇙⪍(⨰⫟⨤$8104$)↬($1133$↙$4397$⋷$2523$⪒$6281$)","expression":"⋰*⋻138A+⋰*⋻5AA4⫡⨏⋰*⋻556A⪄⋰*⋻3048/(⋗⩬⋾⋰*⋻111A)⇼⇔∾(↣≠⋷⋰*⋻1A77)⫡⨏(⋰*⋻10A1⊪)≹⇙⪍(⨰⫟⨤⋰*⋻60A8)↬(⋰*⋻940↙⋰*⋻3338⋷⋰*⋻1994⪒⋰*⋻47A0)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":36135,"operation_count":15,"complexity_ratio":2409.0,"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":1792,"base":11},"right_expr":{"type":"numeric_atoms","value":7979,"base":11}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":7336,"base":11},"right_expr":{"type":"numeric_atoms","value":4045,"base":11}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1473,"base":11}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2625,"base":11}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":1442,"base":11}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":8104,"base":11}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1133,"base":11},"right_expr":{"type":"numeric_atoms","value":4397,"base":11}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2523,"base":11},"right_expr":{"type":"numeric_atoms","value":6281,"base":11}}}}},"used_operators":["QMFrweE19q","XhwjNDsVaA","W4YGzv6Whe","SUmda5xLS4","tifHPKVTfV","DpFCA1CohY","Asc51vEJeQ","B5M0gjZbta","AHs5Up7iyr","zVYPLywUTj","Tw270M8GLb","23Mk6UjR3U","yyfyN0ffXY","f6k1SAg4EE"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","rGHVDoGpnC","dWAJyo7jo9","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1792","layer":4},{"info":"number node, value=7979","layer":4},{"info":"compute binary expreesion, left_input=1792, right_input=7979, op_id = W4YGzv6Whe binary_op_definition= 'None', output=9771","layer":3},{"info":"number node, value=7336","layer":4},{"info":"number node, value=4045","layer":4},{"info":"compute binary expreesion, left_input=7336, right_input=4045, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1097997","layer":3},{"info":"compute binary expreesion, left_input=9771, right_input=-1097997, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-2146356","layer":2},{"info":"number node, value=1473","layer":4},{"info":"compute unary expreesion, input=1473, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-4419","layer":3},{"info":"number node, value=2625","layer":4},{"info":"compute unary expreesion, input=2625, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4419, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2146356, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1442","layer":4},{"info":"compute unary expreesion, input=1442, 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=8104","layer":4},{"info":"compute unary expreesion, input=8104, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=1133","layer":4},{"info":"number node, value=4397","layer":4},{"info":"compute binary expreesion, left_input=1133, right_input=4397, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-13191","layer":3},{"info":"number node, value=2523","layer":4},{"info":"number node, value=6281","layer":4},{"info":"compute binary expreesion, left_input=2523, right_input=6281, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8804","layer":3},{"info":"compute binary expreesion, left_input=-13191, right_input=-8804, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=26382","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=26382, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⋰*⋻138A+⋰*⋻5AA4⫡⨏⋰*⋻556A⪄⋰*⋻3048/(⋗⩬⋾⋰*⋻111A)⇼⇔∾(↣≠⋷⋰*⋻1A77)⫡⨏(⋰*⋻10A1⊪)≹⇙⪍(⨰⫟⨤⋰*⋻60A8)↬(⋰*⋻940↙⋰*⋻3338⋷⋰*⋻1994⪒⋰*⋻47A0)=NaN","reverse_text":"NaN=⋰*⋻138A+⋰*⋻5AA4⫡⨏⋰*⋻556A⪄⋰*⋻3048/(⋗⩬⋾⋰*⋻111A)⇼⇔∾(↣≠⋷⋰*⋻1A77)⫡⨏(⋰*⋻10A1⊪)≹⇙⪍(⨰⫟⨤⋰*⋻60A8)↬(⋰*⋻940↙⋰*⋻3338⋷⋰*⋻1994⪒⋰*⋻47A0)","cot":[{"info":"⋰*⋻138A+⋰*⋻5AA4=⋰*⋻7383","layer":3},{"info":"⋰*⋻556A⪄⋰*⋻3048=⋰*⋻-68AA3A","layer":3},{"info":"⋰*⋻7383⫡⨏⋰*⋻-68AA3A=⋰*⋻-1236653","layer":2},{"info":"⋗⩬⋾⋰*⋻111A=⋰*⋻-3358","layer":3},{"info":"↣≠⋷⋰*⋻1A77=NaN","layer":3},{"info":"⋰*⋻-3358⇼⇔∾NaN=NaN","layer":2},{"info":"⋰*⋻-1236653/NaN=NaN","layer":1},{"info":"⋰*⋻10A1⊪=⋰*⋻0","layer":3},{"info":"⨰⫟⨤⋰*⋻60A8=NaN","layer":3},{"info":"⋰*⋻0≹⇙⪍NaN=NaN","layer":2},{"info":"⋰*⋻940↙⋰*⋻3338=⋰*⋻-9A02","layer":3},{"info":"⋰*⋻1994⪒⋰*⋻47A0=⋰*⋻-6684","layer":3},{"info":"⋰*⋻-9A02⋷⋰*⋻-6684=⋰*⋻18904","layer":2},{"info":"NaN↬⋰*⋻18904=NaN","layer":1},{"info":"NaN⫡⨏NaN=NaN","layer":0}]}
{"id":866,"expression_no_base_symbol":"(($2436$⪘⫢$1399$)∼($1174$⪛$3744$)⫌⩹⨱)⋝⋈⪟((≤/$1582$↬$2419$)⪠⩆⊳)","expression":"((⋰*⋻1915⪘⫢⋰*⋻1062)∼(⋰*⋻978⪛⋰*⋻28A4)⫌⩹⨱)⋝⋈⪟((≤/⋰*⋻1209↬⋰*⋻18AA)⪠⩆⊳)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":132,"operation_count":8,"complexity_ratio":16.5,"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":2436,"base":11},"right_expr":{"type":"numeric_atoms","value":1399,"base":11}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1174,"base":11},"right_expr":{"type":"numeric_atoms","value":3744,"base":11}}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1582,"base":11},"right_expr":{"type":"numeric_atoms","value":2419,"base":11}}}}},"used_operators":["2DDjHMKMc0","EBcxylXtPf","DyGG3AbaNP","oacrs7FA3X","uFcxV4UQCh","JLbD19bQDL","eLAdDNolq6","B5M0gjZbta"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=2436","layer":4},{"info":"number node, value=1399","layer":4},{"info":"compute binary expreesion, left_input=2436, right_input=1399, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4748","layer":3},{"info":"number node, value=1174","layer":4},{"info":"number node, value=3744","layer":4},{"info":"compute binary expreesion, left_input=1174, right_input=3744, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1174","layer":3},{"info":"compute binary expreesion, left_input=4748, right_input=1174, 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 = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=nan","layer":1},{"info":"number node, value=1582","layer":4},{"info":"number node, value=2419","layer":4},{"info":"compute binary expreesion, left_input=1582, right_input=2419, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', 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 = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1915⪘⫢⋰*⋻1062)∼(⋰*⋻978⪛⋰*⋻28A4)⫌⩹⨱)⋝⋈⪟((≤/⋰*⋻1209↬⋰*⋻18AA)⪠⩆⊳)=NaN","reverse_text":"NaN=((⋰*⋻1915⪘⫢⋰*⋻1062)∼(⋰*⋻978⪛⋰*⋻28A4)⫌⩹⨱)⋝⋈⪟((≤/⋰*⋻1209↬⋰*⋻18AA)⪠⩆⊳)","cot":[{"info":"⋰*⋻1915⪘⫢⋰*⋻1062=⋰*⋻3627","layer":3},{"info":"⋰*⋻978⪛⋰*⋻28A4=⋰*⋻978","layer":3},{"info":"⋰*⋻3627∼⋰*⋻978=NaN","layer":2},{"info":"NaN⫌⩹⨱=NaN","layer":1},{"info":"⋰*⋻1209↬⋰*⋻18AA=NaN","layer":3},{"info":"≤/NaN=NaN","layer":2},{"info":"NaN⪠⩆⊳=NaN","layer":1},{"info":"NaN⋝⋈⪟NaN=NaN","layer":0}]}
{"id":867,"expression_no_base_symbol":"((∂($1284$⊉≛↸$2098$))⪠⩆⊳)∼(⨑⩽⪐($2456$⨰$5149$⨸⪁$1862$≹⇙⪍$1450$))","expression":"((∂(⋰*⋻A68⊉≛↸⋰*⋻1638))⪠⩆⊳)∼(⨑⩽⪐(⋰*⋻1933⨰⋰*⋻3961⨸⪁⋰*⋻1443≹⇙⪍⋰*⋻10A9))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":29,"operation_count":8,"complexity_ratio":3.625,"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":1284,"base":11},"right_expr":{"type":"numeric_atoms","value":2098,"base":11}}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2456,"base":11},"right_expr":{"type":"numeric_atoms","value":5149,"base":11}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1862,"base":11},"right_expr":{"type":"numeric_atoms","value":1450,"base":11}}}}},"used_operators":["DyGG3AbaNP","JLbD19bQDL","Uaa54Peajs","DZ8iAZOCBD","AF7qkfDlqP","g55IO6H4Gj","eewbuw0ToL","AHs5Up7iyr"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1284","layer":4},{"info":"number node, value=2098","layer":4},{"info":"compute binary expreesion, left_input=1284, right_input=2098, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2568","layer":3},{"info":"compute unary expreesion, input=2568, 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":"number node, value=2456","layer":4},{"info":"number node, value=5149","layer":4},{"info":"compute binary expreesion, left_input=2456, right_input=5149, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2683","layer":3},{"info":"number node, value=1862","layer":4},{"info":"number node, value=1450","layer":4},{"info":"compute binary expreesion, left_input=1862, right_input=1450, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=-2683, 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 = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((∂(⋰*⋻A68⊉≛↸⋰*⋻1638))⪠⩆⊳)∼(⨑⩽⪐(⋰*⋻1933⨰⋰*⋻3961⨸⪁⋰*⋻1443≹⇙⪍⋰*⋻10A9))=NaN","reverse_text":"NaN=((∂(⋰*⋻A68⊉≛↸⋰*⋻1638))⪠⩆⊳)∼(⨑⩽⪐(⋰*⋻1933⨰⋰*⋻3961⨸⪁⋰*⋻1443≹⇙⪍⋰*⋻10A9))","cot":[{"info":"⋰*⋻A68⊉≛↸⋰*⋻1638=⋰*⋻1A25","layer":3},{"info":"∂⋰*⋻1A25=NaN","layer":2},{"info":"NaN⪠⩆⊳=NaN","layer":1},{"info":"⋰*⋻1933⨰⋰*⋻3961=⋰*⋻-201A","layer":3},{"info":"⋰*⋻1443≹⇙⪍⋰*⋻10A9=NaN","layer":3},{"info":"⋰*⋻-201A⨸⪁NaN=NaN","layer":2},{"info":"⨑⩽⪐NaN=NaN","layer":1},{"info":"NaN∼NaN=NaN","layer":0}]}
{"id":868,"expression_no_base_symbol":"(($1127$⋓$3447$)⨟⋌⩍($2655$∲⫓$1266$)⨎$1513$⋝⋈⪟$2817$⩷∴$1106$⇷$3782$)⊴((($1923$⪒$1816$)⩷∴($1721$⩨$5704$))⨓((⫛⫱⨽$1743$)⫡⨏(⨈⫕$3176$)))","expression":"((⋰*⋻935⋓⋰*⋻2654)⨟⋌⩍(⋰*⋻1AA4∲⫓⋰*⋻A51)⨎⋰*⋻1156⋝⋈⪟⋰*⋻2131⩷∴⋰*⋻916⇷⋰*⋻2929)⊴(((⋰*⋻1499⪒⋰*⋻1401)⩷∴(⋰*⋻1325⩨⋰*⋻4316))⨓((⫛⫱⨽⋰*⋻1345)⫡⨏(⨈⫕⋰*⋻2428)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":32456,"operation_count":15,"complexity_ratio":2163.733333333333,"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":1127,"base":11},"right_expr":{"type":"numeric_atoms","value":3447,"base":11}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2655,"base":11},"right_expr":{"type":"numeric_atoms","value":1266,"base":11}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1513,"base":11},"right_expr":{"type":"numeric_atoms","value":2817,"base":11}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1106,"base":11},"right_expr":{"type":"numeric_atoms","value":3782,"base":11}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1923,"base":11},"right_expr":{"type":"numeric_atoms","value":1816,"base":11}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1721,"base":11},"right_expr":{"type":"numeric_atoms","value":5704,"base":11}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1743,"base":11}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":3176,"base":11}}}}},"used_operators":["Nsiff2A1zJ","rJVOvQCfKK","rGHVDoGpnC","T2fj7uvVaJ","i8ToyICDmI","9FxExcQeMw","2DDjHMKMc0","mp7IySMOzn","3ViojmjbAp","f6k1SAg4EE","2DlMacCsIx","QMFrweE19q","DlLNRPXxWL","megm06wKyl"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","Tcnh7f0tEr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1127","layer":4},{"info":"number node, value=3447","layer":4},{"info":"compute binary expreesion, left_input=1127, right_input=3447, op_id = T2fj7uvVaJ binary_op_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=2655","layer":4},{"info":"number node, value=1266","layer":4},{"info":"compute binary expreesion, left_input=2655, right_input=1266, 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 = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=1513","layer":4},{"info":"number node, value=2817","layer":4},{"info":"compute binary expreesion, left_input=1513, right_input=2817, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1513","layer":3},{"info":"number node, value=1106","layer":4},{"info":"number node, value=3782","layer":4},{"info":"compute binary expreesion, left_input=1106, right_input=3782, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=7564","layer":3},{"info":"compute binary expreesion, left_input=1513, right_input=7564, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-12134","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-12134, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-12134","layer":1},{"info":"number node, value=1923","layer":4},{"info":"number node, value=1816","layer":4},{"info":"compute binary expreesion, left_input=1923, right_input=1816, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3739","layer":3},{"info":"number node, value=1721","layer":4},{"info":"number node, value=5704","layer":4},{"info":"compute binary expreesion, left_input=1721, right_input=5704, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-9","layer":3},{"info":"compute binary expreesion, left_input=-3739, right_input=-9, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-7492","layer":2},{"info":"number node, value=1743","layer":4},{"info":"compute unary expreesion, input=1743, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=3176","layer":4},{"info":"compute unary expreesion, input=3176, 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 = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=741","layer":2},{"info":"compute binary expreesion, left_input=-7492, right_input=741, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-744","layer":1},{"info":"compute binary expreesion, left_input=-12134, right_input=-744, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻935⋓⋰*⋻2654)⨟⋌⩍(⋰*⋻1AA4∲⫓⋰*⋻A51)⨎⋰*⋻1156⋝⋈⪟⋰*⋻2131⩷∴⋰*⋻916⇷⋰*⋻2929)⊴(((⋰*⋻1499⪒⋰*⋻1401)⩷∴(⋰*⋻1325⩨⋰*⋻4316))⨓((⫛⫱⨽⋰*⋻1345)⫡⨏(⨈⫕⋰*⋻2428)))=NaN","reverse_text":"NaN=((⋰*⋻935⋓⋰*⋻2654)⨟⋌⩍(⋰*⋻1AA4∲⫓⋰*⋻A51)⨎⋰*⋻1156⋝⋈⪟⋰*⋻2131⩷∴⋰*⋻916⇷⋰*⋻2929)⊴(((⋰*⋻1499⪒⋰*⋻1401)⩷∴(⋰*⋻1325⩨⋰*⋻4316))⨓((⫛⫱⨽⋰*⋻1345)⫡⨏(⨈⫕⋰*⋻2428)))","cot":[{"info":"⋰*⋻935⋓⋰*⋻2654=⋰*⋻0","layer":3},{"info":"⋰*⋻1AA4∲⫓⋰*⋻A51=⋰*⋻0","layer":3},{"info":"⋰*⋻0⨟⋌⩍⋰*⋻0=⋰*⋻0","layer":2},{"info":"⋰*⋻1156⋝⋈⪟⋰*⋻2131=⋰*⋻1156","layer":3},{"info":"⋰*⋻916⇷⋰*⋻2929=⋰*⋻5757","layer":3},{"info":"⋰*⋻1156⩷∴⋰*⋻5757=⋰*⋻-9131","layer":2},{"info":"⋰*⋻0⨎⋰*⋻-9131=⋰*⋻-9131","layer":1},{"info":"⋰*⋻1499⪒⋰*⋻1401=⋰*⋻-289A","layer":3},{"info":"⋰*⋻1325⩨⋰*⋻4316=⋰*⋻-9","layer":3},{"info":"⋰*⋻-289A⩷∴⋰*⋻-9=⋰*⋻-56A1","layer":2},{"info":"⫛⫱⨽⋰*⋻1345=⋰*⋻0","layer":3},{"info":"⨈⫕⋰*⋻2428=⋰*⋻-1A","layer":3},{"info":"⋰*⋻0⫡⨏⋰*⋻-1A=⋰*⋻614","layer":2},{"info":"⋰*⋻-56A1⨓⋰*⋻614=⋰*⋻-617","layer":1},{"info":"⋰*⋻-9131⊴⋰*⋻-617=NaN","layer":0}]}
{"id":869,"expression_no_base_symbol":"($2475$↙$1096$)⋓($5282$≣⋋)⨰(⊙↵-(≤/$4213$))⨸⪁($5381$⋥≓≎$7176$⨸⪁$1492$≎⊠⪸$4113$)⫸⊐(⋗⩬⋾$1870$)⨐⩸⫘(⪲⇎$3748$)","expression":"(⋰*⋻1950↙⋰*⋻907)⋓(⋰*⋻3A72≣⋋)⨰(⊙↵-(≤/⋰*⋻3190))⨸⪁(⋰*⋻4052⋥≓≎⋰*⋻5434⨸⪁⋰*⋻1137≎⊠⪸⋰*⋻30AA)⫸⊐(⋗⩬⋾⋰*⋻1450)⨐⩸⫘(⪲⇎⋰*⋻28A8)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5702,"operation_count":14,"complexity_ratio":407.2857142857143,"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":2475,"base":11},"right_expr":{"type":"numeric_atoms","value":1096,"base":11}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":5282,"base":11}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":4213,"base":11}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":5381,"base":11},"right_expr":{"type":"numeric_atoms","value":7176,"base":11}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1492,"base":11},"right_expr":{"type":"numeric_atoms","value":4113,"base":11}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1870,"base":11}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":3748,"base":11}}}}},"used_operators":["g55IO6H4Gj","eewbuw0ToL","T2fj7uvVaJ","yyfyN0ffXY","Tcnh7f0tEr","oWn0xqSxBt","eLAdDNolq6","mqXw5SEYmG","Qy55tPpLXF","bJkvcejdHO","fu6greOZ01","DpFCA1CohY","XPYlsWDdGa"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","tmPS8pqC7x","DpFCA1CohY","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2475","layer":4},{"info":"number node, value=1096","layer":4},{"info":"compute binary expreesion, left_input=2475, right_input=1096, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3288","layer":3},{"info":"number node, value=5282","layer":4},{"info":"compute unary expreesion, input=5282, 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=-3288, 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=4213","layer":4},{"info":"compute unary expreesion, input=4213, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-3729","layer":3},{"info":"compute unary expreesion, input=-3729, 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 = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-186","layer":1},{"info":"number node, value=5381","layer":4},{"info":"number node, value=7176","layer":4},{"info":"compute binary expreesion, left_input=5381, right_input=7176, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=9004","layer":3},{"info":"number node, value=1492","layer":4},{"info":"number node, value=4113","layer":4},{"info":"compute binary expreesion, left_input=1492, right_input=4113, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=385955","layer":3},{"info":"compute binary expreesion, left_input=9004, right_input=385955, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=789918","layer":2},{"info":"number node, value=1870","layer":4},{"info":"compute unary expreesion, input=1870, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-5610","layer":3},{"info":"number node, value=3748","layer":4},{"info":"compute unary expreesion, input=3748, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=7496","layer":3},{"info":"compute binary expreesion, left_input=-5610, right_input=7496, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=789918, 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=-186, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1950↙⋰*⋻907)⋓(⋰*⋻3A72≣⋋)⨰(⊙↵-(≤/⋰*⋻3190))⨸⪁(⋰*⋻4052⋥≓≎⋰*⋻5434⨸⪁⋰*⋻1137≎⊠⪸⋰*⋻30AA)⫸⊐(⋗⩬⋾⋰*⋻1450)⨐⩸⫘(⪲⇎⋰*⋻28A8)=NaN","reverse_text":"NaN=(⋰*⋻1950↙⋰*⋻907)⋓(⋰*⋻3A72≣⋋)⨰(⊙↵-(≤/⋰*⋻3190))⨸⪁(⋰*⋻4052⋥≓≎⋰*⋻5434⨸⪁⋰*⋻1137≎⊠⪸⋰*⋻30AA)⫸⊐(⋗⩬⋾⋰*⋻1450)⨐⩸⫘(⪲⇎⋰*⋻28A8)","cot":[{"info":"⋰*⋻1950↙⋰*⋻907=⋰*⋻-251A","layer":3},{"info":"⋰*⋻3A72≣⋋=⋰*⋻0","layer":3},{"info":"⋰*⋻-251A⋓⋰*⋻0=⋰*⋻0","layer":2},{"info":"≤/⋰*⋻3190=⋰*⋻-2890","layer":3},{"info":"⊙↵-⋰*⋻-2890=⋰*⋻169","layer":2},{"info":"⋰*⋻0⨰⋰*⋻169=⋰*⋻-15A","layer":1},{"info":"⋰*⋻4052⋥≓≎⋰*⋻5434=⋰*⋻6846","layer":3},{"info":"⋰*⋻1137≎⊠⪸⋰*⋻30AA=⋰*⋻243A79","layer":3},{"info":"⋰*⋻6846⨸⪁⋰*⋻243A79=⋰*⋻49A528","layer":2},{"info":"⋗⩬⋾⋰*⋻1450=⋰*⋻-4240","layer":3},{"info":"⪲⇎⋰*⋻28A8=⋰*⋻56A5","layer":3},{"info":"⋰*⋻-4240⨐⩸⫘⋰*⋻56A5=NaN","layer":2},{"info":"⋰*⋻49A528⫸⊐NaN=NaN","layer":1},{"info":"⋰*⋻-15A⨸⪁NaN=NaN","layer":0}]}
{"id":870,"expression_no_base_symbol":"$3901$⇷$2205$⨽$5403$∑⇟⊟$4306$⫡⨏$3665$⩷∴$1351$≎⊠⪸($4677$≭$6754$)⋷(⪲⇎$3506$≎⊠⪸$1699$)≎⊠⪸(↣≠⋷($3653$⪢$1928$))","expression":"⋰*⋻2A27⇷⋰*⋻1725⨽⋰*⋻4072∑⇟⊟⋰*⋻3265⫡⨏⋰*⋻2832⩷∴⋰*⋻1019≎⊠⪸(⋰*⋻3572≭⋰*⋻5090)⋷(⪲⇎⋰*⋻26A8≎⊠⪸⋰*⋻1305)≎⊠⪸(↣≠⋷(⋰*⋻2821⪢⋰*⋻14A3))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":69647,"operation_count":13,"complexity_ratio":5357.461538461538,"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":3901,"base":11},"right_expr":{"type":"numeric_atoms","value":2205,"base":11}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":5403,"base":11},"right_expr":{"type":"numeric_atoms","value":4306,"base":11}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3665,"base":11},"right_expr":{"type":"numeric_atoms","value":1351,"base":11}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4677,"base":11},"right_expr":{"type":"numeric_atoms","value":6754,"base":11}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3506,"base":11},"right_expr":{"type":"numeric_atoms","value":1699,"base":11}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3653,"base":11},"right_expr":{"type":"numeric_atoms","value":1928,"base":11}}}}},"used_operators":["23Mk6UjR3U","QMFrweE19q","8HhzD0ZcuI","mp7IySMOzn","U7g4x0WXJJ","bJkvcejdHO","9FxExcQeMw","rxpJgHHUmx","XPYlsWDdGa","Asc51vEJeQ","dWAJyo7jo9"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3901","layer":4},{"info":"number node, value=2205","layer":4},{"info":"compute binary expreesion, left_input=3901, right_input=2205, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4410","layer":3},{"info":"number node, value=5403","layer":4},{"info":"number node, value=4306","layer":4},{"info":"compute binary expreesion, left_input=5403, right_input=4306, 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=4410, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"number node, value=3665","layer":4},{"info":"number node, value=1351","layer":4},{"info":"compute binary expreesion, left_input=3665, right_input=1351, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=4596","layer":3},{"info":"number node, value=4677","layer":4},{"info":"number node, value=6754","layer":4},{"info":"compute binary expreesion, left_input=4677, right_input=6754, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=4596, 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=nan, right_input=67, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":1},{"info":"number node, value=3506","layer":4},{"info":"number node, value=1699","layer":4},{"info":"compute binary expreesion, left_input=3506, right_input=1699, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=907581","layer":3},{"info":"compute unary expreesion, input=907581, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=1815162","layer":2},{"info":"number node, value=3653","layer":4},{"info":"number node, value=1928","layer":4},{"info":"compute binary expreesion, left_input=3653, right_input=1928, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1815162, 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 = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⋰*⋻2A27⇷⋰*⋻1725⨽⋰*⋻4072∑⇟⊟⋰*⋻3265⫡⨏⋰*⋻2832⩷∴⋰*⋻1019≎⊠⪸(⋰*⋻3572≭⋰*⋻5090)⋷(⪲⇎⋰*⋻26A8≎⊠⪸⋰*⋻1305)≎⊠⪸(↣≠⋷(⋰*⋻2821⪢⋰*⋻14A3))=NaN","reverse_text":"NaN=⋰*⋻2A27⇷⋰*⋻1725⨽⋰*⋻4072∑⇟⊟⋰*⋻3265⫡⨏⋰*⋻2832⩷∴⋰*⋻1019≎⊠⪸(⋰*⋻3572≭⋰*⋻5090)⋷(⪲⇎⋰*⋻26A8≎⊠⪸⋰*⋻1305)≎⊠⪸(↣≠⋷(⋰*⋻2821⪢⋰*⋻14A3))","cot":[{"info":"⋰*⋻2A27⇷⋰*⋻1725=⋰*⋻334A","layer":3},{"info":"⋰*⋻4072∑⇟⊟⋰*⋻3265=NaN","layer":3},{"info":"⋰*⋻334A⨽NaN=NaN","layer":2},{"info":"⋰*⋻2832⩷∴⋰*⋻1019=⋰*⋻34A9","layer":3},{"info":"⋰*⋻3572≭⋰*⋻5090=NaN","layer":3},{"info":"⋰*⋻34A9≎⊠⪸NaN=⋰*⋻61","layer":2},{"info":"NaN⫡⨏⋰*⋻61=NaN","layer":1},{"info":"⋰*⋻26A8≎⊠⪸⋰*⋻1305=⋰*⋻56A974","layer":3},{"info":"⪲⇎⋰*⋻56A974=⋰*⋻102A838","layer":2},{"info":"⋰*⋻2821⪢⋰*⋻14A3=NaN","layer":3},{"info":"↣≠⋷NaN=NaN","layer":2},{"info":"⋰*⋻102A838≎⊠⪸NaN=⋰*⋻61","layer":1},{"info":"NaN⋷⋰*⋻61=NaN","layer":0}]}
{"id":871,"expression_no_base_symbol":"-(($4204$⊭∹↮)⪢($6933$*$6990$)⇋≉)","expression":"-((⋰*⋻3182⊭∹↮)⪢(⋰*⋻5233*⋰*⋻5285)⇋≉)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":6944,"operation_count":5,"complexity_ratio":1388.8,"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":4204,"base":11}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":6933,"base":11},"right_expr":{"type":"numeric_atoms","value":6990,"base":11}}}}},"used_operators":["t8gj7n24qd","XIabStNQrY","dWAJyo7jo9","xNBdhnnwKq","9HNa5Wba9A"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4204","layer":4},{"info":"compute unary expreesion, input=4204, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=8408","layer":3},{"info":"number node, value=6933","layer":4},{"info":"number node, value=6990","layer":4},{"info":"compute binary expreesion, left_input=6933, right_input=6990, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=48461670","layer":3},{"info":"compute binary expreesion, left_input=8408, right_input=48461670, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"-((⋰*⋻3182⊭∹↮)⪢(⋰*⋻5233*⋰*⋻5285)⇋≉)=NaN","reverse_text":"NaN=-((⋰*⋻3182⊭∹↮)⪢(⋰*⋻5233*⋰*⋻5285)⇋≉)","cot":[{"info":"⋰*⋻3182⊭∹↮=⋰*⋻6354","layer":3},{"info":"⋰*⋻5233*⋰*⋻5285=⋰*⋻2539AA74","layer":3},{"info":"⋰*⋻6354⪢⋰*⋻2539AA74=NaN","layer":2},{"info":"NaN⇋≉=NaN","layer":1},{"info":"-NaN=NaN","layer":0}]}
{"id":872,"expression_no_base_symbol":"↽≂((⫓⪴($7429$≭$3340$))⪠⩆⊳)","expression":"↽≂((⫓⪴(⋰*⋻5644≭⋰*⋻2567))⪠⩆⊳)","highest_n_order":5,"priority_hierarchical_complexity":4,"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":7429,"base":11},"right_expr":{"type":"numeric_atoms","value":3340,"base":11}}}}},"used_operators":["u6S6b8DprG","JLbD19bQDL","eLxqMNBOBk","rxpJgHHUmx"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=7429","layer":4},{"info":"number node, value=3340","layer":4},{"info":"compute binary expreesion, left_input=7429, right_input=3340, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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 = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', 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 unary expreesion, input=nan, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"↽≂((⫓⪴(⋰*⋻5644≭⋰*⋻2567))⪠⩆⊳)=NaN","reverse_text":"NaN=↽≂((⫓⪴(⋰*⋻5644≭⋰*⋻2567))⪠⩆⊳)","cot":[{"info":"⋰*⋻5644≭⋰*⋻2567=NaN","layer":3},{"info":"⫓⪴NaN=NaN","layer":2},{"info":"NaN⪠⩆⊳=NaN","layer":1},{"info":"↽≂NaN=NaN","layer":0}]}
{"id":873,"expression_no_base_symbol":"(($3821$⋷$5213$)≫≃)↬(($1417$↪⪝)⋝⋈⪟(↽≂$3618$))∑⇟⊟(($3251$≣⋋)⨎($7254$⪄$1021$)⨸⪁(⨈⫕$4094$⪛$3052$))","expression":"((⋰*⋻2964⋷⋰*⋻3A0A)≫≃)↬((⋰*⋻1079↪⪝)⋝⋈⪟(↽≂⋰*⋻279A))∑⇟⊟((⋰*⋻2496≣⋋)⨎(⋰*⋻54A5⪄⋰*⋻849)⨸⪁(⨈⫕⋰*⋻3092⪛⋰*⋻2325))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1721,"operation_count":13,"complexity_ratio":132.3846153846154,"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":3821,"base":11},"right_expr":{"type":"numeric_atoms","value":5213,"base":11}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1417,"base":11}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":3618,"base":11}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":3251,"base":11}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":7254,"base":11},"right_expr":{"type":"numeric_atoms","value":1021,"base":11}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":4094,"base":11},"right_expr":{"type":"numeric_atoms","value":3052,"base":11}}}}},"used_operators":["U7g4x0WXJJ","B5M0gjZbta","X99M06cbEe","23Mk6UjR3U","2DDjHMKMc0","l07mrZUIn9","u6S6b8DprG","g55IO6H4Gj","rJVOvQCfKK","Tcnh7f0tEr","SUmda5xLS4","megm06wKyl","uFcxV4UQCh"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rGHVDoGpnC","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3821","layer":4},{"info":"number node, value=5213","layer":4},{"info":"compute binary expreesion, left_input=3821, right_input=5213, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=6605","layer":3},{"info":"compute unary expreesion, input=6605, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=14611","layer":2},{"info":"number node, value=1417","layer":4},{"info":"compute unary expreesion, input=1417, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=86694894","layer":3},{"info":"number node, value=3618","layer":4},{"info":"compute unary expreesion, input=3618, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-7236","layer":3},{"info":"compute binary expreesion, left_input=86694894, right_input=-7236, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=86694894","layer":2},{"info":"compute binary expreesion, left_input=14611, right_input=86694894, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=3251","layer":4},{"info":"compute unary expreesion, input=3251, 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=7254","layer":4},{"info":"number node, value=1021","layer":4},{"info":"compute binary expreesion, left_input=7254, right_input=1021, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1073765","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1073765, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-1073765","layer":2},{"info":"number node, value=4094","layer":4},{"info":"number node, value=3052","layer":4},{"info":"compute binary expreesion, left_input=4094, right_input=3052, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1042","layer":3},{"info":"compute unary expreesion, input=1042, 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=-1073765, right_input=-21, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-2147572","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2147572, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻2964⋷⋰*⋻3A0A)≫≃)↬((⋰*⋻1079↪⪝)⋝⋈⪟(↽≂⋰*⋻279A))∑⇟⊟((⋰*⋻2496≣⋋)⨎(⋰*⋻54A5⪄⋰*⋻849)⨸⪁(⨈⫕⋰*⋻3092⪛⋰*⋻2325))=NaN","reverse_text":"NaN=((⋰*⋻2964⋷⋰*⋻3A0A)≫≃)↬((⋰*⋻1079↪⪝)⋝⋈⪟(↽≂⋰*⋻279A))∑⇟⊟((⋰*⋻2496≣⋋)⨎(⋰*⋻54A5⪄⋰*⋻849)⨸⪁(⨈⫕⋰*⋻3092⪛⋰*⋻2325))","cot":[{"info":"⋰*⋻2964⋷⋰*⋻3A0A=⋰*⋻4A65","layer":3},{"info":"⋰*⋻4A65≫≃=⋰*⋻AA83","layer":2},{"info":"⋰*⋻1079↪⪝=⋰*⋻44A34180","layer":3},{"info":"↽≂⋰*⋻279A=⋰*⋻-5489","layer":3},{"info":"⋰*⋻44A34180⋝⋈⪟⋰*⋻-5489=⋰*⋻44A34180","layer":2},{"info":"⋰*⋻AA83↬⋰*⋻44A34180=NaN","layer":1},{"info":"⋰*⋻2496≣⋋=⋰*⋻0","layer":3},{"info":"⋰*⋻54A5⪄⋰*⋻849=⋰*⋻-673810","layer":3},{"info":"⋰*⋻0⨎⋰*⋻-673810=⋰*⋻-673810","layer":2},{"info":"⋰*⋻3092⪛⋰*⋻2325=⋰*⋻868","layer":3},{"info":"⨈⫕⋰*⋻868=⋰*⋻-1A","layer":2},{"info":"⋰*⋻-673810⨸⪁⋰*⋻-1A=⋰*⋻-1237559","layer":1},{"info":"NaN∑⇟⊟⋰*⋻-1237559=NaN","layer":0}]}
{"id":874,"expression_no_base_symbol":"(($3723$≋⫹)⪢$1552$≹⇙⪍$5257$⫩⊇)⪮%⊝(⪝⪂⫅(↩($2821$⊭↱$1280$)))","expression":"((⋰*⋻2885≋⫹)⪢⋰*⋻1191≹⇙⪍⋰*⋻3A4A⫩⊇)⪮%⊝(⪝⪂⫅(↩(⋰*⋻2135⊭↱⋰*⋻A64)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":192,"operation_count":8,"complexity_ratio":24.0,"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":3723,"base":11}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1552,"base":11},"right_expr":{"type":"numeric_atoms","value":5257,"base":11}}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2821,"base":11},"right_expr":{"type":"numeric_atoms","value":1280,"base":11}}}}},"used_operators":["IWmyXbctLI","BjRHVeLaeN","dWAJyo7jo9","N41Kp7NANJ","AHs5Up7iyr","XTarYq4gQB","jLgFTUHLKL","COABgblf1C"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","9HNa5Wba9A","8w2t5hMYqp","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3723","layer":4},{"info":"compute unary expreesion, input=3723, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-7446","layer":3},{"info":"number node, value=1552","layer":4},{"info":"number node, value=5257","layer":4},{"info":"compute binary expreesion, left_input=1552, right_input=5257, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=-7446, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":1},{"info":"number node, value=2821","layer":4},{"info":"number node, value=1280","layer":4},{"info":"compute binary expreesion, left_input=2821, right_input=1280, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-3077","layer":3},{"info":"compute unary expreesion, input=-3077, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=14928","layer":2},{"info":"compute unary expreesion, input=14928, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-2194416","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2194416, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻2885≋⫹)⪢⋰*⋻1191≹⇙⪍⋰*⋻3A4A⫩⊇)⪮%⊝(⪝⪂⫅(↩(⋰*⋻2135⊭↱⋰*⋻A64)))=NaN","reverse_text":"NaN=((⋰*⋻2885≋⫹)⪢⋰*⋻1191≹⇙⪍⋰*⋻3A4A⫩⊇)⪮%⊝(⪝⪂⫅(↩(⋰*⋻2135⊭↱⋰*⋻A64)))","cot":[{"info":"⋰*⋻2885≋⫹=⋰*⋻-565A","layer":3},{"info":"⋰*⋻1191≹⇙⪍⋰*⋻3A4A=NaN","layer":3},{"info":"⋰*⋻-565A⪢NaN=NaN","layer":2},{"info":"NaN⫩⊇=NaN","layer":1},{"info":"⋰*⋻2135⊭↱⋰*⋻A64=⋰*⋻-2348","layer":3},{"info":"↩⋰*⋻-2348=⋰*⋻10241","layer":2},{"info":"⪝⪂⫅⋰*⋻10241=⋰*⋻-1269774","layer":1},{"info":"NaN⪮%⊝⋰*⋻-1269774=NaN","layer":0}]}
{"id":875,"expression_no_base_symbol":"(($1001$-$1216$)≎⊠⪸($2013$⪄$5618$)/(($1062$↺$3166$)≫≃))⋝⋈⪟((⊥$1112$)+⇶⊼$1421$⪢$3156$)⪛(+⊝⨔($3421$≦≮≮))","expression":"((⋰*⋻830-⋰*⋻A06)≎⊠⪸(⋰*⋻1570⪄⋰*⋻4248)/((⋰*⋻886↺⋰*⋻2419)≫≃))⋝⋈⪟((⊥⋰*⋻921)+⇶⊼⋰*⋻1082⪢⋰*⋻240A)⪛(+⊝⨔(⋰*⋻2630≦≮≮))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3305,"operation_count":13,"complexity_ratio":254.23076923076923,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1001,"base":11},"right_expr":{"type":"numeric_atoms","value":1216,"base":11}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2013,"base":11},"right_expr":{"type":"numeric_atoms","value":5618,"base":11}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1062,"base":11},"right_expr":{"type":"numeric_atoms","value":3166,"base":11}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1112,"base":11}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1421,"base":11},"right_expr":{"type":"numeric_atoms","value":3156,"base":11}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":3421,"base":11}}}}},"used_operators":["2DDjHMKMc0","XhwjNDsVaA","bJkvcejdHO","rysDP5nf3Z","SUmda5xLS4","X99M06cbEe","7j4O788W3g","uFcxV4UQCh","TpPTUOHfaN","Q3PJZHRvZv","dWAJyo7jo9","DhbWaqg5eL","D4vGDi5EA2"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","AHs5Up7iyr","fu6greOZ01","k8jYdgA6NY","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1001","layer":4},{"info":"number node, value=1216","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=1216, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-215","layer":3},{"info":"number node, value=2013","layer":4},{"info":"number node, value=5618","layer":4},{"info":"compute binary expreesion, left_input=2013, right_input=5618, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-316485","layer":3},{"info":"compute binary expreesion, left_input=-215, right_input=-316485, 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=1062","layer":4},{"info":"number node, value=3166","layer":4},{"info":"compute binary expreesion, left_input=1062, right_input=3166, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3166","layer":3},{"info":"compute unary expreesion, input=3166, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=7733","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=7733, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"number node, value=1112","layer":4},{"info":"compute unary expreesion, input=1112, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=1421","layer":4},{"info":"number node, value=3156","layer":4},{"info":"compute binary expreesion, left_input=1421, right_input=3156, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=3421","layer":4},{"info":"compute unary expreesion, input=3421, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-10263","layer":3},{"info":"compute unary expreesion, input=-10263, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1522, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻830-⋰*⋻A06)≎⊠⪸(⋰*⋻1570⪄⋰*⋻4248)/((⋰*⋻886↺⋰*⋻2419)≫≃))⋝⋈⪟((⊥⋰*⋻921)+⇶⊼⋰*⋻1082⪢⋰*⋻240A)⪛(+⊝⨔(⋰*⋻2630≦≮≮))=NaN","reverse_text":"NaN=((⋰*⋻830-⋰*⋻A06)≎⊠⪸(⋰*⋻1570⪄⋰*⋻4248)/((⋰*⋻886↺⋰*⋻2419)≫≃))⋝⋈⪟((⊥⋰*⋻921)+⇶⊼⋰*⋻1082⪢⋰*⋻240A)⪛(+⊝⨔(⋰*⋻2630≦≮≮))","cot":[{"info":"⋰*⋻830-⋰*⋻A06=⋰*⋻-186","layer":3},{"info":"⋰*⋻1570⪄⋰*⋻4248=⋰*⋻-1A6864","layer":3},{"info":"⋰*⋻-186≎⊠⪸⋰*⋻-1A6864=⋰*⋻61","layer":2},{"info":"⋰*⋻886↺⋰*⋻2419=⋰*⋻2419","layer":3},{"info":"⋰*⋻2419≫≃=⋰*⋻58A0","layer":2},{"info":"⋰*⋻61/⋰*⋻58A0=⋰*⋻0","layer":1},{"info":"⊥⋰*⋻921=NaN","layer":3},{"info":"⋰*⋻1082⪢⋰*⋻240A=NaN","layer":3},{"info":"NaN+⇶⊼NaN=NaN","layer":2},{"info":"⋰*⋻2630≦≮≮=⋰*⋻-7790","layer":3},{"info":"+⊝⨔⋰*⋻-7790=⋰*⋻1164","layer":2},{"info":"NaN⪛⋰*⋻1164=NaN","layer":1},{"info":"⋰*⋻0⋝⋈⪟NaN=NaN","layer":0}]}
{"id":876,"expression_no_base_symbol":"(⪝⪂⫅(($2724$⨽$1255$)+⇶⊼$4062$⋓$1761$))⪄($2358$⪐)∀⇚≩($4651$⋓$2708$)⫥∨⫟($1412$⪘⫢$4019$)∀⇚≩($1791$⨓$1750$)","expression":"(⪝⪂⫅((⋰*⋻2057⨽⋰*⋻A41)+⇶⊼⋰*⋻3063⋓⋰*⋻1361))⪄(⋰*⋻1854⪐)∀⇚≩(⋰*⋻3549⋓⋰*⋻2042)⫥∨⫟(⋰*⋻1074⪘⫢⋰*⋻3024)∀⇚≩(⋰*⋻1389⨓⋰*⋻1351)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":56626,"operation_count":12,"complexity_ratio":4718.833333333333,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2724,"base":11},"right_expr":{"type":"numeric_atoms","value":1255,"base":11}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4062,"base":11},"right_expr":{"type":"numeric_atoms","value":1761,"base":11}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":2358,"base":11}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4651,"base":11},"right_expr":{"type":"numeric_atoms","value":2708,"base":11}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1412,"base":11},"right_expr":{"type":"numeric_atoms","value":4019,"base":11}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1791,"base":11},"right_expr":{"type":"numeric_atoms","value":1750,"base":11}}}}},"used_operators":["SUmda5xLS4","XTarYq4gQB","TpPTUOHfaN","8HhzD0ZcuI","T2fj7uvVaJ","KYD54nUTWz","LRNGc0VcxI","eH2TOUuTDT","oacrs7FA3X","3ViojmjbAp"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9HNa5Wba9A","8w2t5hMYqp","AHs5Up7iyr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","8HhzD0ZcuI","rGHVDoGpnC","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2724","layer":4},{"info":"number node, value=1255","layer":4},{"info":"compute binary expreesion, left_input=2724, right_input=1255, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-22262979","layer":3},{"info":"number node, value=4062","layer":4},{"info":"number node, value=1761","layer":4},{"info":"compute binary expreesion, left_input=4062, right_input=1761, op_id = T2fj7uvVaJ binary_op_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=-22262979, right_input=0, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=0","layer":1},{"info":"number node, value=2358","layer":4},{"info":"compute unary expreesion, input=2358, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=4716","layer":3},{"info":"number node, value=4651","layer":4},{"info":"number node, value=2708","layer":4},{"info":"compute binary expreesion, left_input=4651, right_input=2708, op_id = T2fj7uvVaJ binary_op_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=4716, 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=1412","layer":4},{"info":"number node, value=4019","layer":4},{"info":"compute binary expreesion, left_input=1412, right_input=4019, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2700","layer":3},{"info":"number node, value=1791","layer":4},{"info":"number node, value=1750","layer":4},{"info":"compute binary expreesion, left_input=1791, right_input=1750, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1753","layer":3},{"info":"compute binary expreesion, left_input=2700, right_input=-1753, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = 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 = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⪝⪂⫅((⋰*⋻2057⨽⋰*⋻A41)+⇶⊼⋰*⋻3063⋓⋰*⋻1361))⪄(⋰*⋻1854⪐)∀⇚≩(⋰*⋻3549⋓⋰*⋻2042)⫥∨⫟(⋰*⋻1074⪘⫢⋰*⋻3024)∀⇚≩(⋰*⋻1389⨓⋰*⋻1351)=NaN","reverse_text":"NaN=(⪝⪂⫅((⋰*⋻2057⨽⋰*⋻A41)+⇶⊼⋰*⋻3063⋓⋰*⋻1361))⪄(⋰*⋻1854⪐)∀⇚≩(⋰*⋻3549⋓⋰*⋻2042)⫥∨⫟(⋰*⋻1074⪘⫢⋰*⋻3024)∀⇚≩(⋰*⋻1389⨓⋰*⋻1351)","cot":[{"info":"⋰*⋻2057⨽⋰*⋻A41=⋰*⋻-11626562","layer":3},{"info":"⋰*⋻3063⋓⋰*⋻1361=⋰*⋻0","layer":3},{"info":"⋰*⋻-11626562+⇶⊼⋰*⋻0=⋰*⋻0","layer":2},{"info":"⪝⪂⫅⋰*⋻0=⋰*⋻0","layer":1},{"info":"⋰*⋻1854⪐=⋰*⋻35A8","layer":3},{"info":"⋰*⋻3549⋓⋰*⋻2042=⋰*⋻0","layer":3},{"info":"⋰*⋻35A8∀⇚≩⋰*⋻0=NaN","layer":2},{"info":"⋰*⋻1074⪘⫢⋰*⋻3024=⋰*⋻2035","layer":3},{"info":"⋰*⋻1389⨓⋰*⋻1351=⋰*⋻-1354","layer":3},{"info":"⋰*⋻2035∀⇚≩⋰*⋻-1354=NaN","layer":2},{"info":"NaN⫥∨⫟NaN=NaN","layer":1},{"info":"⋰*⋻0⪄NaN=NaN","layer":0}]}
{"id":877,"expression_no_base_symbol":"((⨞⊢$1463$)∼($3492$∲⫓$3151$)⪨≂($1898$⊭↱$8272$)∼($3432$↛⩡⫤))≭(($1059$≭$1854$)↬($1147$⪐)⇼⇔∾($6847$⨰$4673$⫡⨏$1351$≹⇙⪍$3097$))","expression":"((⨞⊢⋰*⋻1110)∼(⋰*⋻2695∲⫓⋰*⋻2405)⪨≂(⋰*⋻1476⊭↱⋰*⋻6240)∼(⋰*⋻2640↛⩡⫤))≭((⋰*⋻883≭⋰*⋻1436)↬(⋰*⋻953⪐)⇼⇔∾(⋰*⋻5165⨰⋰*⋻3569⫡⨏⋰*⋻1019≹⇙⪍⋰*⋻2366))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":10771,"operation_count":15,"complexity_ratio":718.0666666666667,"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":1463,"base":11}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3492,"base":11},"right_expr":{"type":"numeric_atoms","value":3151,"base":11}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1898,"base":11},"right_expr":{"type":"numeric_atoms","value":8272,"base":11}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":3432,"base":11}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1059,"base":11},"right_expr":{"type":"numeric_atoms","value":1854,"base":11}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1147,"base":11}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":6847,"base":11},"right_expr":{"type":"numeric_atoms","value":4673,"base":11}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1351,"base":11},"right_expr":{"type":"numeric_atoms","value":3097,"base":11}}}}},"used_operators":["rxpJgHHUmx","sdazOOVcIp","DyGG3AbaNP","xUOZtlo3hN","i8ToyICDmI","COABgblf1C","FU0Cs4j7VP","tifHPKVTfV","B5M0gjZbta","eH2TOUuTDT","QMFrweE19q","eewbuw0ToL","AHs5Up7iyr"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1463","layer":4},{"info":"compute unary expreesion, input=1463, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1637","layer":3},{"info":"number node, value=3492","layer":4},{"info":"number node, value=3151","layer":4},{"info":"compute binary expreesion, left_input=3492, right_input=3151, 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=-1637, 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=1898","layer":4},{"info":"number node, value=8272","layer":4},{"info":"compute binary expreesion, left_input=1898, right_input=8272, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=12753","layer":3},{"info":"number node, value=3432","layer":4},{"info":"compute unary expreesion, input=3432, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-514321","layer":3},{"info":"compute binary expreesion, left_input=12753, right_input=-514321, 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=20, 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=1059","layer":4},{"info":"number node, value=1854","layer":4},{"info":"compute binary expreesion, left_input=1059, right_input=1854, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=1147","layer":4},{"info":"compute unary expreesion, input=1147, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2294","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2294, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=6847","layer":4},{"info":"number node, value=4673","layer":4},{"info":"compute binary expreesion, left_input=6847, right_input=4673, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2184","layer":3},{"info":"number node, value=1351","layer":4},{"info":"number node, value=3097","layer":4},{"info":"compute binary expreesion, left_input=1351, right_input=3097, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=2184, 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=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 = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⨞⊢⋰*⋻1110)∼(⋰*⋻2695∲⫓⋰*⋻2405)⪨≂(⋰*⋻1476⊭↱⋰*⋻6240)∼(⋰*⋻2640↛⩡⫤))≭((⋰*⋻883≭⋰*⋻1436)↬(⋰*⋻953⪐)⇼⇔∾(⋰*⋻5165⨰⋰*⋻3569⫡⨏⋰*⋻1019≹⇙⪍⋰*⋻2366))=NaN","reverse_text":"NaN=((⨞⊢⋰*⋻1110)∼(⋰*⋻2695∲⫓⋰*⋻2405)⪨≂(⋰*⋻1476⊭↱⋰*⋻6240)∼(⋰*⋻2640↛⩡⫤))≭((⋰*⋻883≭⋰*⋻1436)↬(⋰*⋻953⪐)⇼⇔∾(⋰*⋻5165⨰⋰*⋻3569⫡⨏⋰*⋻1019≹⇙⪍⋰*⋻2366))","cot":[{"info":"⨞⊢⋰*⋻1110=⋰*⋻-1259","layer":3},{"info":"⋰*⋻2695∲⫓⋰*⋻2405=⋰*⋻0","layer":3},{"info":"⋰*⋻-1259∼⋰*⋻0=⋰*⋻19","layer":2},{"info":"⋰*⋻1476⊭↱⋰*⋻6240=⋰*⋻9644","layer":3},{"info":"⋰*⋻2640↛⩡⫤=⋰*⋻-321465","layer":3},{"info":"⋰*⋻9644∼⋰*⋻-321465=NaN","layer":2},{"info":"⋰*⋻19⪨≂NaN=NaN","layer":1},{"info":"⋰*⋻883≭⋰*⋻1436=NaN","layer":3},{"info":"⋰*⋻953⪐=⋰*⋻17A6","layer":3},{"info":"NaN↬⋰*⋻17A6=NaN","layer":2},{"info":"⋰*⋻5165⨰⋰*⋻3569=⋰*⋻1706","layer":3},{"info":"⋰*⋻1019≹⇙⪍⋰*⋻2366=NaN","layer":3},{"info":"⋰*⋻1706⫡⨏NaN=NaN","layer":2},{"info":"NaN⇼⇔∾NaN=NaN","layer":1},{"info":"NaN≭NaN=NaN","layer":0}]}
{"id":878,"expression_no_base_symbol":"((≤/$2311$)↪⪝)+⇶⊼(($3629$/$2366$)⊦⊿)⩚⊴⇥((($2754$∲⫓$2707$)↺$6027$⨐⩸⫘$2105$)≎⊠⪸($2149$≭$1656$)⨟⋌⩍(⫛⫱⨽$4497$))","expression":"((≤/⋰*⋻1811)↪⪝)+⇶⊼((⋰*⋻27AA/⋰*⋻1861)⊦⊿)⩚⊴⇥(((⋰*⋻2084∲⫓⋰*⋻2041)↺⋰*⋻458A⨐⩸⫘⋰*⋻1644)≎⊠⪸(⋰*⋻1684≭⋰*⋻1276)⨟⋌⩍(⫛⫱⨽⋰*⋻3419))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3065747,"operation_count":13,"complexity_ratio":235826.6923076923,"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":2311,"base":11}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3629,"base":11},"right_expr":{"type":"numeric_atoms","value":2366,"base":11}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2754,"base":11},"right_expr":{"type":"numeric_atoms","value":2707,"base":11}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":6027,"base":11},"right_expr":{"type":"numeric_atoms","value":2105,"base":11}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2149,"base":11},"right_expr":{"type":"numeric_atoms","value":1656,"base":11}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":4497,"base":11}}}}},"used_operators":["NTOWxs364D","TpPTUOHfaN","l07mrZUIn9","eLAdDNolq6","14qkJME0vr","XhwjNDsVaA","bJkvcejdHO","7j4O788W3g","i8ToyICDmI","fu6greOZ01","rGHVDoGpnC","rxpJgHHUmx","DlLNRPXxWL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","Tcnh7f0tEr","AHs5Up7iyr","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2311","layer":4},{"info":"compute unary expreesion, input=2311, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1827","layer":3},{"info":"compute unary expreesion, input=-1827, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=-111779514","layer":2},{"info":"number node, value=3629","layer":4},{"info":"number node, value=2366","layer":4},{"info":"compute binary expreesion, left_input=3629, right_input=2366, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute unary expreesion, input=1, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-82","layer":2},{"info":"compute binary expreesion, left_input=-111779514, right_input=-82, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=2754","layer":4},{"info":"number node, value=2707","layer":4},{"info":"compute binary expreesion, left_input=2754, right_input=2707, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=6027","layer":4},{"info":"number node, value=2105","layer":4},{"info":"compute binary expreesion, left_input=6027, right_input=2105, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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 = 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=2149","layer":4},{"info":"number node, value=1656","layer":4},{"info":"compute binary expreesion, left_input=2149, right_input=1656, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=4497","layer":4},{"info":"compute unary expreesion, input=4497, 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 = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = 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 = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((≤/⋰*⋻1811)↪⪝)+⇶⊼((⋰*⋻27AA/⋰*⋻1861)⊦⊿)⩚⊴⇥(((⋰*⋻2084∲⫓⋰*⋻2041)↺⋰*⋻458A⨐⩸⫘⋰*⋻1644)≎⊠⪸(⋰*⋻1684≭⋰*⋻1276)⨟⋌⩍(⫛⫱⨽⋰*⋻3419))=NaN","reverse_text":"NaN=((≤/⋰*⋻1811)↪⪝)+⇶⊼((⋰*⋻27AA/⋰*⋻1861)⊦⊿)⩚⊴⇥(((⋰*⋻2084∲⫓⋰*⋻2041)↺⋰*⋻458A⨐⩸⫘⋰*⋻1644)≎⊠⪸(⋰*⋻1684≭⋰*⋻1276)⨟⋌⩍(⫛⫱⨽⋰*⋻3419))","cot":[{"info":"≤/⋰*⋻1811=⋰*⋻-1411","layer":3},{"info":"⋰*⋻-1411↪⪝=⋰*⋻-58107670","layer":2},{"info":"⋰*⋻27AA/⋰*⋻1861=⋰*⋻1","layer":3},{"info":"⋰*⋻1⊦⊿=⋰*⋻-75","layer":2},{"info":"⋰*⋻-58107670+⇶⊼⋰*⋻-75=NaN","layer":1},{"info":"⋰*⋻2084∲⫓⋰*⋻2041=⋰*⋻0","layer":3},{"info":"⋰*⋻458A⨐⩸⫘⋰*⋻1644=NaN","layer":3},{"info":"⋰*⋻0↺NaN=NaN","layer":2},{"info":"⋰*⋻1684≭⋰*⋻1276=NaN","layer":3},{"info":"⫛⫱⨽⋰*⋻3419=⋰*⋻0","layer":3},{"info":"NaN⨟⋌⩍⋰*⋻0=NaN","layer":2},{"info":"NaN≎⊠⪸NaN=⋰*⋻61","layer":1},{"info":"NaN⩚⊴⇥⋰*⋻61=NaN","layer":0}]}
{"id":879,"expression_no_base_symbol":"⨈⫕(-(⊥(↩$3886$)))","expression":"⨈⫕(-(⊥(↩⋰*⋻2A13)))","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":404,"operation_count":4,"complexity_ratio":101.0,"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":3886,"base":11}}}}},"used_operators":["megm06wKyl","t8gj7n24qd","Q3PJZHRvZv","jLgFTUHLKL"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","fu6greOZ01","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"⋰*⋻-1A","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3886","layer":4},{"info":"compute unary expreesion, input=3886, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-28308","layer":3},{"info":"compute unary expreesion, input=-28308, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":1},{"info":"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":11,"result_base":11,"text":"⨈⫕(-(⊥(↩⋰*⋻2A13)))=⋰*⋻-1A","reverse_text":"⋰*⋻-1A=⨈⫕(-(⊥(↩⋰*⋻2A13)))","cot":[{"info":"↩⋰*⋻2A13=⋰*⋻-1A2A5","layer":3},{"info":"⊥⋰*⋻-1A2A5=NaN","layer":2},{"info":"-NaN=NaN","layer":1},{"info":"⨈⫕NaN=⋰*⋻-1A","layer":0}]}
{"id":880,"expression_no_base_symbol":"⊥(($2297$⋳⪒$1196$)⩚⊴⇥(↥$1711$)⫡⨏($3562$⇼⇔∾$1027$)∀⇚≩(∂$2206$))","expression":"⊥((⋰*⋻17A9⋳⪒⋰*⋻998)⩚⊴⇥(↥⋰*⋻1316)⫡⨏(⋰*⋻2749⇼⇔∾⋰*⋻854)∀⇚≩(∂⋰*⋻1726))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":17799,"operation_count":8,"complexity_ratio":2224.875,"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":2297,"base":11},"right_expr":{"type":"numeric_atoms","value":1196,"base":11}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1711,"base":11}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3562,"base":11},"right_expr":{"type":"numeric_atoms","value":1027,"base":11}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2206,"base":11}}}}},"used_operators":["Q3PJZHRvZv","QMFrweE19q","NTOWxs364D","12rbrZMWeM","A8NUZmVepG","LRNGc0VcxI","tifHPKVTfV","Uaa54Peajs"],"dependent_operators":["fu6greOZ01","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2297","layer":4},{"info":"number node, value=1196","layer":4},{"info":"compute binary expreesion, left_input=2297, right_input=1196, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3111","layer":3},{"info":"number node, value=1711","layer":4},{"info":"compute unary expreesion, input=1711, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=28","layer":3},{"info":"compute binary expreesion, left_input=3111, right_input=28, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3260","layer":2},{"info":"number node, value=3562","layer":4},{"info":"number node, value=1027","layer":4},{"info":"compute binary expreesion, left_input=3562, right_input=1027, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-2535","layer":3},{"info":"number node, value=2206","layer":4},{"info":"compute unary expreesion, input=2206, 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=-2535, 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=-3260, 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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⊥((⋰*⋻17A9⋳⪒⋰*⋻998)⩚⊴⇥(↥⋰*⋻1316)⫡⨏(⋰*⋻2749⇼⇔∾⋰*⋻854)∀⇚≩(∂⋰*⋻1726))=NaN","reverse_text":"NaN=⊥((⋰*⋻17A9⋳⪒⋰*⋻998)⩚⊴⇥(↥⋰*⋻1316)⫡⨏(⋰*⋻2749⇼⇔∾⋰*⋻854)∀⇚≩(∂⋰*⋻1726))","cot":[{"info":"⋰*⋻17A9⋳⪒⋰*⋻998=⋰*⋻2379","layer":3},{"info":"↥⋰*⋻1316=⋰*⋻26","layer":3},{"info":"⋰*⋻2379⩚⊴⇥⋰*⋻26=⋰*⋻-24A4","layer":2},{"info":"⋰*⋻2749⇼⇔∾⋰*⋻854=⋰*⋻-19A5","layer":3},{"info":"∂⋰*⋻1726=NaN","layer":3},{"info":"⋰*⋻-19A5∀⇚≩NaN=NaN","layer":2},{"info":"⋰*⋻-24A4⫡⨏NaN=NaN","layer":1},{"info":"⊥NaN=NaN","layer":0}]}
{"id":881,"expression_no_base_symbol":"((($3926$⫸⊐$4979$)⇋≉)⨵⪆($1262$+⇶⊼$2272$)⪘⫢($1526$⫡⨏$1817$))⪐","expression":"(((⋰*⋻2A4A⫸⊐⋰*⋻3817)⇋≉)⨵⪆(⋰*⋻A48+⇶⊼⋰*⋻1786)⪘⫢(⋰*⋻1168⫡⨏⋰*⋻1402))⪐","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":47,"operation_count":7,"complexity_ratio":6.714285714285714,"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":3926,"base":11},"right_expr":{"type":"numeric_atoms","value":4979,"base":11}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1262,"base":11},"right_expr":{"type":"numeric_atoms","value":2272,"base":11}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1526,"base":11},"right_expr":{"type":"numeric_atoms","value":1817,"base":11}}}}},"used_operators":["eH2TOUuTDT","2DQ55sFlQl","XIabStNQrY","mqXw5SEYmG","oacrs7FA3X","TpPTUOHfaN","QMFrweE19q"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻271","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3926","layer":4},{"info":"number node, value=4979","layer":4},{"info":"compute binary expreesion, left_input=3926, right_input=4979, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=19791","layer":3},{"info":"compute unary expreesion, input=19791, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=39484","layer":2},{"info":"number node, value=1262","layer":4},{"info":"number node, value=2272","layer":4},{"info":"compute binary expreesion, left_input=1262, right_input=2272, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=1526","layer":4},{"info":"number node, value=1817","layer":4},{"info":"compute binary expreesion, left_input=1526, right_input=1817, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=12047","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=12047, 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=39484, 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 = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=320","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻2A4A⫸⊐⋰*⋻3817)⇋≉)⨵⪆(⋰*⋻A48+⇶⊼⋰*⋻1786)⪘⫢(⋰*⋻1168⫡⨏⋰*⋻1402))⪐=⋰*⋻271","reverse_text":"⋰*⋻271=(((⋰*⋻2A4A⫸⊐⋰*⋻3817)⇋≉)⨵⪆(⋰*⋻A48+⇶⊼⋰*⋻1786)⪘⫢(⋰*⋻1168⫡⨏⋰*⋻1402))⪐","cot":[{"info":"⋰*⋻2A4A⫸⊐⋰*⋻3817=⋰*⋻13962","layer":3},{"info":"⋰*⋻13962⇋≉=⋰*⋻27735","layer":2},{"info":"⋰*⋻A48+⇶⊼⋰*⋻1786=NaN","layer":3},{"info":"⋰*⋻1168⫡⨏⋰*⋻1402=⋰*⋻9062","layer":3},{"info":"NaN⪘⫢⋰*⋻9062=NaN","layer":2},{"info":"⋰*⋻27735⨵⪆NaN=⋰*⋻136","layer":1},{"info":"⋰*⋻136⪐=⋰*⋻271","layer":0}]}
{"id":882,"expression_no_base_symbol":"($1101$∲⫓$1005$⪨≂($3648$⪨≂$1158$))⋥≓≎((∥⊫$4361$)⪄$2978$⨽$3479$)⪄(($3223$⪨≂$1051$)⨰($1046$⩚⊴⇥$1269$))⨓$2234$⊴$3660$⪘⫢$1403$⨪↰⇹$3532$","expression":"(⋰*⋻911∲⫓⋰*⋻834⪨≂(⋰*⋻2817⪨≂⋰*⋻963))⋥≓≎((∥⊫⋰*⋻3305)⪄⋰*⋻2268⨽⋰*⋻2683)⪄((⋰*⋻2470⪨≂⋰*⋻876)⨰(⋰*⋻871⩚⊴⇥⋰*⋻A54))⨓⋰*⋻1751⊴⋰*⋻2828⪘⫢⋰*⋻1066⨪↰⇹⋰*⋻2721","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8287,"operation_count":15,"complexity_ratio":552.4666666666667,"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":1101,"base":11},"right_expr":{"type":"numeric_atoms","value":1005,"base":11}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3648,"base":11},"right_expr":{"type":"numeric_atoms","value":1158,"base":11}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":4361,"base":11}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2978,"base":11},"right_expr":{"type":"numeric_atoms","value":3479,"base":11}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3223,"base":11},"right_expr":{"type":"numeric_atoms","value":1051,"base":11}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1046,"base":11},"right_expr":{"type":"numeric_atoms","value":1269,"base":11}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2234,"base":11},"right_expr":{"type":"numeric_atoms","value":3660,"base":11}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1403,"base":11},"right_expr":{"type":"numeric_atoms","value":3532,"base":11}}}}},"used_operators":["SUmda5xLS4","Qy55tPpLXF","sdazOOVcIp","i8ToyICDmI","P8v4zCKN1o","8HhzD0ZcuI","3ViojmjbAp","eewbuw0ToL","NTOWxs364D","oacrs7FA3X","Nsiff2A1zJ","tmPS8pqC7x"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","dWAJyo7jo9","14qkJME0vr","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1101","layer":4},{"info":"number node, value=1005","layer":4},{"info":"compute binary expreesion, left_input=1101, right_input=1005, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=3648","layer":4},{"info":"number node, value=1158","layer":4},{"info":"compute binary expreesion, left_input=3648, right_input=1158, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=5082","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5082, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-10062","layer":2},{"info":"number node, value=4361","layer":4},{"info":"compute unary expreesion, input=4361, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=5229","layer":3},{"info":"number node, value=2978","layer":4},{"info":"number node, value=3479","layer":4},{"info":"compute binary expreesion, left_input=2978, right_input=3479, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-26614575","layer":3},{"info":"compute binary expreesion, left_input=5229, right_input=-26614575, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=105688319","layer":2},{"info":"compute binary expreesion, left_input=-10062, right_input=105688319, 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=3223","layer":4},{"info":"number node, value=1051","layer":4},{"info":"compute binary expreesion, left_input=3223, right_input=1051, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=4446","layer":3},{"info":"number node, value=1046","layer":4},{"info":"number node, value=1269","layer":4},{"info":"compute binary expreesion, left_input=1046, right_input=1269, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2436","layer":3},{"info":"compute binary expreesion, left_input=4446, right_input=-2436, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=6892","layer":2},{"info":"number node, value=2234","layer":4},{"info":"number node, value=3660","layer":4},{"info":"compute binary expreesion, left_input=2234, right_input=3660, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1403","layer":4},{"info":"number node, value=3532","layer":4},{"info":"compute binary expreesion, left_input=1403, right_input=3532, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1403","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1403, 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=6892, 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=67, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻911∲⫓⋰*⋻834⪨≂(⋰*⋻2817⪨≂⋰*⋻963))⋥≓≎((∥⊫⋰*⋻3305)⪄⋰*⋻2268⨽⋰*⋻2683)⪄((⋰*⋻2470⪨≂⋰*⋻876)⨰(⋰*⋻871⩚⊴⇥⋰*⋻A54))⨓⋰*⋻1751⊴⋰*⋻2828⪘⫢⋰*⋻1066⨪↰⇹⋰*⋻2721=NaN","reverse_text":"NaN=(⋰*⋻911∲⫓⋰*⋻834⪨≂(⋰*⋻2817⪨≂⋰*⋻963))⋥≓≎((∥⊫⋰*⋻3305)⪄⋰*⋻2268⨽⋰*⋻2683)⪄((⋰*⋻2470⪨≂⋰*⋻876)⨰(⋰*⋻871⩚⊴⇥⋰*⋻A54))⨓⋰*⋻1751⊴⋰*⋻2828⪘⫢⋰*⋻1066⨪↰⇹⋰*⋻2721","cot":[{"info":"⋰*⋻911∲⫓⋰*⋻834=⋰*⋻0","layer":3},{"info":"⋰*⋻2817⪨≂⋰*⋻963=⋰*⋻3900","layer":3},{"info":"⋰*⋻0⪨≂⋰*⋻3900=⋰*⋻-7618","layer":2},{"info":"∥⊫⋰*⋻3305=⋰*⋻3A24","layer":3},{"info":"⋰*⋻2268⨽⋰*⋻2683=⋰*⋻-14028A19","layer":3},{"info":"⋰*⋻3A24⪄⋰*⋻-14028A19=⋰*⋻54727220","layer":2},{"info":"⋰*⋻-7618⋥≓≎⋰*⋻54727220=⋰*⋻61","layer":1},{"info":"⋰*⋻2470⪨≂⋰*⋻876=⋰*⋻3382","layer":3},{"info":"⋰*⋻871⩚⊴⇥⋰*⋻A54=⋰*⋻-1915","layer":3},{"info":"⋰*⋻3382⨰⋰*⋻-1915=⋰*⋻51A6","layer":2},{"info":"⋰*⋻1751⊴⋰*⋻2828=NaN","layer":3},{"info":"⋰*⋻1066⨪↰⇹⋰*⋻2721=⋰*⋻1066","layer":3},{"info":"NaN⪘⫢⋰*⋻1066=NaN","layer":2},{"info":"⋰*⋻51A6⨓NaN=NaN","layer":1},{"info":"⋰*⋻61⪄NaN=NaN","layer":0}]}
{"id":883,"expression_no_base_symbol":"((⨵≀≌$2643$)⨓($1005$∑⇟⊟$2019$)⪨≂(∥⊫$3409$)⊉≛↸($2295$⪒$8528$))⪒(↣≠⋷(($3885$⋷$2810$)⊠≄⫣))","expression":"((⨵≀≌⋰*⋻1A93)⨓(⋰*⋻834∑⇟⊟⋰*⋻1576)⪨≂(∥⊫⋰*⋻261A)⊉≛↸(⋰*⋻17A7⪒⋰*⋻6453))⪒(↣≠⋷((⋰*⋻2A12⋷⋰*⋻2125)⊠≄⫣))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":37,"operation_count":11,"complexity_ratio":3.3636363636363638,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":2643,"base":11}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1005,"base":11},"right_expr":{"type":"numeric_atoms","value":2019,"base":11}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":3409,"base":11}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2295,"base":11},"right_expr":{"type":"numeric_atoms","value":8528,"base":11}}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3885,"base":11},"right_expr":{"type":"numeric_atoms","value":2810,"base":11}}}}},"used_operators":["f6k1SAg4EE","sdazOOVcIp","3ViojmjbAp","srAu1WTS94","U7g4x0WXJJ","DZ8iAZOCBD","P8v4zCKN1o","Asc51vEJeQ","DIvbN7qnHd","23Mk6UjR3U"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2643","layer":4},{"info":"compute unary expreesion, input=2643, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-7929","layer":3},{"info":"number node, value=1005","layer":4},{"info":"number node, value=2019","layer":4},{"info":"compute binary expreesion, left_input=1005, right_input=2019, 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=-7929, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"number node, value=3409","layer":4},{"info":"compute unary expreesion, input=3409, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4277","layer":3},{"info":"number node, value=2295","layer":4},{"info":"number node, value=8528","layer":4},{"info":"compute binary expreesion, left_input=2295, right_input=8528, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-10823","layer":3},{"info":"compute binary expreesion, left_input=4277, right_input=-10823, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=8554","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=8554, op_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=3885","layer":4},{"info":"number node, value=2810","layer":4},{"info":"compute binary expreesion, left_input=3885, right_input=2810, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1735","layer":3},{"info":"compute unary expreesion, input=1735, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⨵≀≌⋰*⋻1A93)⨓(⋰*⋻834∑⇟⊟⋰*⋻1576)⪨≂(∥⊫⋰*⋻261A)⊉≛↸(⋰*⋻17A7⪒⋰*⋻6453))⪒(↣≠⋷((⋰*⋻2A12⋷⋰*⋻2125)⊠≄⫣))=NaN","reverse_text":"NaN=((⨵≀≌⋰*⋻1A93)⨓(⋰*⋻834∑⇟⊟⋰*⋻1576)⪨≂(∥⊫⋰*⋻261A)⊉≛↸(⋰*⋻17A7⪒⋰*⋻6453))⪒(↣≠⋷((⋰*⋻2A12⋷⋰*⋻2125)⊠≄⫣))","cot":[{"info":"⨵≀≌⋰*⋻1A93=⋰*⋻-5A59","layer":3},{"info":"⋰*⋻834∑⇟⊟⋰*⋻1576=NaN","layer":3},{"info":"⋰*⋻-5A59⨓NaN=NaN","layer":2},{"info":"∥⊫⋰*⋻261A=⋰*⋻3239","layer":3},{"info":"⋰*⋻17A7⪒⋰*⋻6453=⋰*⋻-814A","layer":3},{"info":"⋰*⋻3239⊉≛↸⋰*⋻-814A=⋰*⋻6477","layer":2},{"info":"NaN⪨≂⋰*⋻6477=NaN","layer":1},{"info":"⋰*⋻2A12⋷⋰*⋻2125=⋰*⋻1338","layer":3},{"info":"⋰*⋻1338⊠≄⫣=⋰*⋻0","layer":2},{"info":"↣≠⋷⋰*⋻0=NaN","layer":1},{"info":"NaN⪒NaN=NaN","layer":0}]}
{"id":884,"expression_no_base_symbol":"⇁⨣⪵(↔($1774$⫡⨏$1351$))∼($2423$⋝⋈⪟$2432$⊦⊿)","expression":"⇁⨣⪵(↔(⋰*⋻1373⫡⨏⋰*⋻1019))∼(⋰*⋻1903⋝⋈⪟⋰*⋻1911⊦⊿)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":262,"operation_count":6,"complexity_ratio":43.666666666666664,"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":1774,"base":11},"right_expr":{"type":"numeric_atoms","value":1351,"base":11}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2423,"base":11},"right_expr":{"type":"numeric_atoms","value":2432,"base":11}}}}},"used_operators":["inkyxCbjAn","DyGG3AbaNP","ruOEQAzv1W","QMFrweE19q","14qkJME0vr","2DDjHMKMc0"],"dependent_operators":["B5M0gjZbta","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1774","layer":4},{"info":"number node, value=1351","layer":4},{"info":"compute binary expreesion, left_input=1774, right_input=1351, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=12355","layer":3},{"info":"compute unary expreesion, input=12355, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-12082","layer":2},{"info":"number node, value=2423","layer":4},{"info":"number node, value=2432","layer":4},{"info":"compute binary expreesion, left_input=2423, right_input=2432, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2423","layer":3},{"info":"compute unary expreesion, input=2423, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-7348","layer":2},{"info":"compute binary expreesion, left_input=-12082, right_input=-7348, 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 = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⇁⨣⪵(↔(⋰*⋻1373⫡⨏⋰*⋻1019))∼(⋰*⋻1903⋝⋈⪟⋰*⋻1911⊦⊿)=NaN","reverse_text":"NaN=⇁⨣⪵(↔(⋰*⋻1373⫡⨏⋰*⋻1019))∼(⋰*⋻1903⋝⋈⪟⋰*⋻1911⊦⊿)","cot":[{"info":"⋰*⋻1373⫡⨏⋰*⋻1019=⋰*⋻9312","layer":3},{"info":"↔⋰*⋻9312=⋰*⋻-9094","layer":2},{"info":"⋰*⋻1903⋝⋈⪟⋰*⋻1911=⋰*⋻1903","layer":3},{"info":"⋰*⋻1903⊦⊿=⋰*⋻-5580","layer":2},{"info":"⋰*⋻-9094∼⋰*⋻-5580=NaN","layer":1},{"info":"⇁⨣⪵NaN=NaN","layer":0}]}
{"id":885,"expression_no_base_symbol":"⪲⇎(↩$2103$≹⇙⪍$2176$)⫥∨⫟($7572$⊘)⨰($2249$⋳⪒$6313$)","expression":"⪲⇎(↩⋰*⋻1642≹⇙⪍⋰*⋻16A9)⫥∨⫟(⋰*⋻5764⊘)⨰(⋰*⋻1765⋳⪒⋰*⋻481A)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":208,"operation_count":7,"complexity_ratio":29.714285714285715,"tree":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2103,"base":11},"right_expr":{"type":"numeric_atoms","value":2176,"base":11}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":7572,"base":11}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2249,"base":11},"right_expr":{"type":"numeric_atoms","value":6313,"base":11}}}}},"used_operators":["XPYlsWDdGa","KYD54nUTWz","jLgFTUHLKL","AHs5Up7iyr","eewbuw0ToL","gu96TGCTMs","12rbrZMWeM"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2103","layer":4},{"info":"number node, value=2176","layer":4},{"info":"compute binary expreesion, left_input=2103, right_input=2176, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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":"number node, value=7572","layer":4},{"info":"compute unary expreesion, input=7572, 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=2249","layer":4},{"info":"number node, value=6313","layer":4},{"info":"compute binary expreesion, left_input=2249, right_input=6313, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-2102","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-2102, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2112","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2112, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⪲⇎(↩⋰*⋻1642≹⇙⪍⋰*⋻16A9)⫥∨⫟(⋰*⋻5764⊘)⨰(⋰*⋻1765⋳⪒⋰*⋻481A)=NaN","reverse_text":"NaN=⪲⇎(↩⋰*⋻1642≹⇙⪍⋰*⋻16A9)⫥∨⫟(⋰*⋻5764⊘)⨰(⋰*⋻1765⋳⪒⋰*⋻481A)","cot":[{"info":"⋰*⋻1642≹⇙⪍⋰*⋻16A9=NaN","layer":3},{"info":"↩NaN=NaN","layer":2},{"info":"⋰*⋻5764⊘=⋰*⋻0","layer":3},{"info":"⋰*⋻1765⋳⪒⋰*⋻481A=⋰*⋻-1641","layer":3},{"info":"⋰*⋻0⨰⋰*⋻-1641=⋰*⋻1650","layer":2},{"info":"NaN⫥∨⫟⋰*⋻1650=NaN","layer":1},{"info":"⪲⇎NaN=NaN","layer":0}]}
{"id":886,"expression_no_base_symbol":"$1961$∀⇚≩$5387$∑⇟⊟($5031$⊉≛↸$1153$)⋓(($5383$≭$2023$)⇋≉)⋝⋈⪟(($3680$⇼⇔∾$3316$⨵⪆(⊄⩳↩$1582$))⊭↱(($3183$⩚⊴⇥$2015$)⩠))","expression":"⋰*⋻1523∀⇚≩⋰*⋻4058∑⇟⊟(⋰*⋻3864⊉≛↸⋰*⋻959)⋓((⋰*⋻4054≭⋰*⋻157A)⇋≉)⋝⋈⪟((⋰*⋻2846⇼⇔∾⋰*⋻2545⨵⪆(⊄⩳↩⋰*⋻1209))⊭↱((⋰*⋻2434⩚⊴⇥⋰*⋻1572)⩠))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":13782,"operation_count":13,"complexity_ratio":1060.1538461538462,"tree":{"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":11},"right_expr":{"type":"numeric_atoms","value":5387,"base":11}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":5031,"base":11},"right_expr":{"type":"numeric_atoms","value":1153,"base":11}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":5383,"base":11},"right_expr":{"type":"numeric_atoms","value":2023,"base":11}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3680,"base":11},"right_expr":{"type":"numeric_atoms","value":3316,"base":11}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1582,"base":11}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3183,"base":11},"right_expr":{"type":"numeric_atoms","value":2015,"base":11}}}}},"used_operators":["2DDjHMKMc0","T2fj7uvVaJ","U7g4x0WXJJ","LRNGc0VcxI","DZ8iAZOCBD","XIabStNQrY","rxpJgHHUmx","COABgblf1C","2DQ55sFlQl","tifHPKVTfV","8w2t5hMYqp","sJAwomhLZr","NTOWxs364D"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1961","layer":4},{"info":"number node, value=5387","layer":4},{"info":"compute binary expreesion, left_input=1961, right_input=5387, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=5031","layer":4},{"info":"number node, value=1153","layer":4},{"info":"compute binary expreesion, left_input=5031, right_input=1153, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=10062","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=10062, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=5383","layer":4},{"info":"number node, value=2023","layer":4},{"info":"compute binary expreesion, left_input=5383, right_input=2023, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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 = T2fj7uvVaJ 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=3680","layer":4},{"info":"number node, value=3316","layer":4},{"info":"compute binary expreesion, left_input=3680, right_input=3316, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-364","layer":3},{"info":"number node, value=1582","layer":4},{"info":"compute unary expreesion, input=1582, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-4746","layer":3},{"info":"compute binary expreesion, left_input=-364, right_input=-4746, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=3183","layer":4},{"info":"number node, value=2015","layer":4},{"info":"compute binary expreesion, left_input=3183, right_input=2015, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5319","layer":3},{"info":"compute unary expreesion, input=-5319, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=21485","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=21485, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=42655","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=42655, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⋰*⋻1523∀⇚≩⋰*⋻4058∑⇟⊟(⋰*⋻3864⊉≛↸⋰*⋻959)⋓((⋰*⋻4054≭⋰*⋻157A)⇋≉)⋝⋈⪟((⋰*⋻2846⇼⇔∾⋰*⋻2545⨵⪆(⊄⩳↩⋰*⋻1209))⊭↱((⋰*⋻2434⩚⊴⇥⋰*⋻1572)⩠))=NaN","reverse_text":"NaN=⋰*⋻1523∀⇚≩⋰*⋻4058∑⇟⊟(⋰*⋻3864⊉≛↸⋰*⋻959)⋓((⋰*⋻4054≭⋰*⋻157A)⇋≉)⋝⋈⪟((⋰*⋻2846⇼⇔∾⋰*⋻2545⨵⪆(⊄⩳↩⋰*⋻1209))⊭↱((⋰*⋻2434⩚⊴⇥⋰*⋻1572)⩠))","cot":[{"info":"⋰*⋻1523∀⇚≩⋰*⋻4058=NaN","layer":3},{"info":"⋰*⋻3864⊉≛↸⋰*⋻959=⋰*⋻7618","layer":3},{"info":"NaN∑⇟⊟⋰*⋻7618=NaN","layer":2},{"info":"⋰*⋻4054≭⋰*⋻157A=NaN","layer":3},{"info":"NaN⇋≉=NaN","layer":2},{"info":"NaN⋓NaN=NaN","layer":1},{"info":"⋰*⋻2846⇼⇔∾⋰*⋻2545=⋰*⋻-301","layer":3},{"info":"⊄⩳↩⋰*⋻1209=⋰*⋻-3625","layer":3},{"info":"⋰*⋻-301⨵⪆⋰*⋻-3625=⋰*⋻136","layer":2},{"info":"⋰*⋻2434⩚⊴⇥⋰*⋻1572=⋰*⋻-3AA6","layer":3},{"info":"⋰*⋻-3AA6⩠=⋰*⋻15162","layer":2},{"info":"⋰*⋻136⊭↱⋰*⋻15162=⋰*⋻2A058","layer":1},{"info":"NaN⋝⋈⪟⋰*⋻2A058=NaN","layer":0}]}
{"id":887,"expression_no_base_symbol":"↽≂($1370$⇷$1039$↙($1585$∧))⨪↰⇹($6128$⋝⋈⪟$2525$-$6101$⊭↱$1396$)","expression":"↽≂(⋰*⋻1036⇷⋰*⋻865↙(⋰*⋻1211∧))⨪↰⇹(⋰*⋻4671⋝⋈⪟⋰*⋻1996-⋰*⋻4647⊭↱⋰*⋻105A)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":19210,"operation_count":8,"complexity_ratio":2401.25,"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":1370,"base":11},"right_expr":{"type":"numeric_atoms","value":1039,"base":11}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1585,"base":11}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":6128,"base":11},"right_expr":{"type":"numeric_atoms","value":2525,"base":11}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":6101,"base":11},"right_expr":{"type":"numeric_atoms","value":1396,"base":11}}}}},"used_operators":["u6S6b8DprG","tmPS8pqC7x","yyfyN0ffXY","mp7IySMOzn","z63VuFQld9","rysDP5nf3Z","2DDjHMKMc0","COABgblf1C"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","tmPS8pqC7x","DpFCA1CohY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1370","layer":4},{"info":"number node, value=1039","layer":4},{"info":"compute binary expreesion, left_input=1370, right_input=1039, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2078","layer":3},{"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 binary expreesion, left_input=2078, 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=6128","layer":4},{"info":"number node, value=2525","layer":4},{"info":"compute binary expreesion, left_input=6128, right_input=2525, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6128","layer":3},{"info":"number node, value=6101","layer":4},{"info":"number node, value=1396","layer":4},{"info":"compute binary expreesion, left_input=6101, right_input=1396, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-9405","layer":3},{"info":"compute binary expreesion, left_input=6128, right_input=-9405, op_id = rysDP5nf3Z binary_op_definition= 'None', output=15533","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=15533, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"↽≂(⋰*⋻1036⇷⋰*⋻865↙(⋰*⋻1211∧))⨪↰⇹(⋰*⋻4671⋝⋈⪟⋰*⋻1996-⋰*⋻4647⊭↱⋰*⋻105A)=NaN","reverse_text":"NaN=↽≂(⋰*⋻1036⇷⋰*⋻865↙(⋰*⋻1211∧))⨪↰⇹(⋰*⋻4671⋝⋈⪟⋰*⋻1996-⋰*⋻4647⊭↱⋰*⋻105A)","cot":[{"info":"⋰*⋻1036⇷⋰*⋻865=⋰*⋻161A","layer":3},{"info":"⋰*⋻1211∧=NaN","layer":3},{"info":"⋰*⋻161A↙NaN=NaN","layer":2},{"info":"⋰*⋻4671⋝⋈⪟⋰*⋻1996=⋰*⋻4671","layer":3},{"info":"⋰*⋻4647⊭↱⋰*⋻105A=⋰*⋻-7080","layer":3},{"info":"⋰*⋻4671-⋰*⋻-7080=⋰*⋻10741","layer":2},{"info":"NaN⨪↰⇹⋰*⋻10741=NaN","layer":1},{"info":"↽≂NaN=NaN","layer":0}]}
{"id":888,"expression_no_base_symbol":"(($2192$⪒$7695$)⪛($2115$⫡⨏$8396$))⪢(($2144$⨐⩸⫘$2575$)⨽($1035$⊘))⨵⪆(↔($2011$⨵⪆$1174$))⋓((⪝⪂⫅$1948$)⨸⪁(⨑⩽⪐$8230$))","expression":"((⋰*⋻1713⪒⋰*⋻5866)⪛(⋰*⋻1653⫡⨏⋰*⋻6343))⪢((⋰*⋻167A⨐⩸⫘⋰*⋻1A31)⨽(⋰*⋻861⊘))⨵⪆(↔(⋰*⋻1569⨵⪆⋰*⋻978))⋓((⪝⪂⫅⋰*⋻1511)⨸⪁(⨑⩽⪐⋰*⋻6202))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":224,"operation_count":14,"complexity_ratio":16.0,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2192,"base":11},"right_expr":{"type":"numeric_atoms","value":7695,"base":11}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2115,"base":11},"right_expr":{"type":"numeric_atoms","value":8396,"base":11}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2144,"base":11},"right_expr":{"type":"numeric_atoms","value":2575,"base":11}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1035,"base":11}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2011,"base":11},"right_expr":{"type":"numeric_atoms","value":1174,"base":11}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1948,"base":11}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":8230,"base":11}}}}},"used_operators":["2DQ55sFlQl","dWAJyo7jo9","uFcxV4UQCh","f6k1SAg4EE","QMFrweE19q","8HhzD0ZcuI","fu6greOZ01","gu96TGCTMs","T2fj7uvVaJ","ruOEQAzv1W","g55IO6H4Gj","XTarYq4gQB","AF7qkfDlqP"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","3ViojmjbAp","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"⋰*⋻136","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2192","layer":4},{"info":"number node, value=7695","layer":4},{"info":"compute binary expreesion, left_input=2192, right_input=7695, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-9887","layer":3},{"info":"number node, value=2115","layer":4},{"info":"number node, value=8396","layer":4},{"info":"compute binary expreesion, left_input=2115, right_input=8396, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=28150","layer":3},{"info":"compute binary expreesion, left_input=-9887, right_input=28150, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=18263","layer":2},{"info":"number node, value=2144","layer":4},{"info":"number node, value=2575","layer":4},{"info":"compute binary expreesion, left_input=2144, right_input=2575, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=1035","layer":4},{"info":"compute unary expreesion, input=1035, 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 = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=18263, 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=2011","layer":4},{"info":"number node, value=1174","layer":4},{"info":"compute binary expreesion, left_input=2011, right_input=1174, 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 = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=113","layer":2},{"info":"number node, value=1948","layer":4},{"info":"compute unary expreesion, input=1948, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-286356","layer":3},{"info":"number node, value=8230","layer":4},{"info":"compute unary expreesion, input=8230, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-7957","layer":3},{"info":"compute binary expreesion, left_input=-286356, right_input=-7957, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-588626","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=-588626, op_id = T2fj7uvVaJ binary_op_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 = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1713⪒⋰*⋻5866)⪛(⋰*⋻1653⫡⨏⋰*⋻6343))⪢((⋰*⋻167A⨐⩸⫘⋰*⋻1A31)⨽(⋰*⋻861⊘))⨵⪆(↔(⋰*⋻1569⨵⪆⋰*⋻978))⋓((⪝⪂⫅⋰*⋻1511)⨸⪁(⨑⩽⪐⋰*⋻6202))=⋰*⋻136","reverse_text":"⋰*⋻136=((⋰*⋻1713⪒⋰*⋻5866)⪛(⋰*⋻1653⫡⨏⋰*⋻6343))⪢((⋰*⋻167A⨐⩸⫘⋰*⋻1A31)⨽(⋰*⋻861⊘))⨵⪆(↔(⋰*⋻1569⨵⪆⋰*⋻978))⋓((⪝⪂⫅⋰*⋻1511)⨸⪁(⨑⩽⪐⋰*⋻6202))","cot":[{"info":"⋰*⋻1713⪒⋰*⋻5866=⋰*⋻-7479","layer":3},{"info":"⋰*⋻1653⫡⨏⋰*⋻6343=⋰*⋻1A171","layer":3},{"info":"⋰*⋻-7479⪛⋰*⋻1A171=⋰*⋻127A3","layer":2},{"info":"⋰*⋻167A⨐⩸⫘⋰*⋻1A31=NaN","layer":3},{"info":"⋰*⋻861⊘=⋰*⋻0","layer":3},{"info":"NaN⨽⋰*⋻0=NaN","layer":2},{"info":"⋰*⋻127A3⪢NaN=NaN","layer":1},{"info":"⋰*⋻1569⨵⪆⋰*⋻978=⋰*⋻136","layer":3},{"info":"↔⋰*⋻136=⋰*⋻A3","layer":2},{"info":"⪝⪂⫅⋰*⋻1511=⋰*⋻-186164","layer":3},{"info":"⨑⩽⪐⋰*⋻6202=⋰*⋻-5A84","layer":3},{"info":"⋰*⋻-186164⨸⪁⋰*⋻-5A84=⋰*⋻-372275","layer":2},{"info":"⋰*⋻A3⋓⋰*⋻-372275=⋰*⋻0","layer":1},{"info":"NaN⨵⪆⋰*⋻0=⋰*⋻136","layer":0}]}
{"id":889,"expression_no_base_symbol":"(($1009$⩷∴$1689$⫸⊐$1000$⋳⪒$2715$)⋓(($3307$*$4040$)⋓($1377$⇼⇔∾$3163$)))⪢(($2560$⨪↰⇹$2351$⊭∹↮)↺($2763$⋳⪒$1453$)⪢($2501$⇷$1013$))","expression":"((⋰*⋻838⩷∴⋰*⋻12A6⫸⊐⋰*⋻82A⋳⪒⋰*⋻2049)⋓((⋰*⋻2537*⋰*⋻3043)⋓(⋰*⋻1042⇼⇔∾⋰*⋻2416)))⪢((⋰*⋻1A18⨪↰⇹⋰*⋻1848⊭∹↮)↺(⋰*⋻2092⋳⪒⋰*⋻1101)⪢(⋰*⋻1974⇷⋰*⋻841))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":45885,"operation_count":14,"complexity_ratio":3277.5,"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":1009,"base":11},"right_expr":{"type":"numeric_atoms","value":1689,"base":11}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1000,"base":11},"right_expr":{"type":"numeric_atoms","value":2715,"base":11}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3307,"base":11},"right_expr":{"type":"numeric_atoms","value":4040,"base":11}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1377,"base":11},"right_expr":{"type":"numeric_atoms","value":3163,"base":11}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2560,"base":11},"right_expr":{"type":"numeric_atoms","value":2351,"base":11}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2763,"base":11},"right_expr":{"type":"numeric_atoms","value":1453,"base":11}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2501,"base":11},"right_expr":{"type":"numeric_atoms","value":1013,"base":11}}}}},"used_operators":["dWAJyo7jo9","T2fj7uvVaJ","mqXw5SEYmG","9FxExcQeMw","12rbrZMWeM","9HNa5Wba9A","tifHPKVTfV","7j4O788W3g","xNBdhnnwKq","tmPS8pqC7x","mp7IySMOzn"],"dependent_operators":["k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rJVOvQCfKK","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1009","layer":4},{"info":"number node, value=1689","layer":4},{"info":"compute binary expreesion, left_input=1009, right_input=1689, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-1392","layer":3},{"info":"number node, value=1000","layer":4},{"info":"number node, value=2715","layer":4},{"info":"compute binary expreesion, left_input=1000, right_input=2715, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-1002","layer":3},{"info":"compute binary expreesion, left_input=-1392, right_input=-1002, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":2},{"info":"number node, value=3307","layer":4},{"info":"number node, value=4040","layer":4},{"info":"compute binary expreesion, left_input=3307, right_input=4040, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=13360280","layer":3},{"info":"number node, value=1377","layer":4},{"info":"number node, value=3163","layer":4},{"info":"compute binary expreesion, left_input=1377, right_input=3163, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1786","layer":3},{"info":"compute binary expreesion, left_input=13360280, right_input=1786, op_id = T2fj7uvVaJ binary_op_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=968, 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":"number node, value=2560","layer":4},{"info":"number node, value=2351","layer":4},{"info":"compute binary expreesion, left_input=2560, right_input=2351, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2560","layer":3},{"info":"compute unary expreesion, input=2560, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=5120","layer":2},{"info":"number node, value=2763","layer":4},{"info":"number node, value=1453","layer":4},{"info":"compute binary expreesion, left_input=2763, right_input=1453, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3786","layer":3},{"info":"number node, value=2501","layer":4},{"info":"number node, value=1013","layer":4},{"info":"compute binary expreesion, left_input=2501, right_input=1013, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2026","layer":3},{"info":"compute binary expreesion, left_input=3786, right_input=2026, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=5120, 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 = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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":11,"result_base":11,"text":"((⋰*⋻838⩷∴⋰*⋻12A6⫸⊐⋰*⋻82A⋳⪒⋰*⋻2049)⋓((⋰*⋻2537*⋰*⋻3043)⋓(⋰*⋻1042⇼⇔∾⋰*⋻2416)))⪢((⋰*⋻1A18⨪↰⇹⋰*⋻1848⊭∹↮)↺(⋰*⋻2092⋳⪒⋰*⋻1101)⪢(⋰*⋻1974⇷⋰*⋻841))=NaN","reverse_text":"NaN=((⋰*⋻838⩷∴⋰*⋻12A6⫸⊐⋰*⋻82A⋳⪒⋰*⋻2049)⋓((⋰*⋻2537*⋰*⋻3043)⋓(⋰*⋻1042⇼⇔∾⋰*⋻2416)))⪢((⋰*⋻1A18⨪↰⇹⋰*⋻1848⊭∹↮)↺(⋰*⋻2092⋳⪒⋰*⋻1101)⪢(⋰*⋻1974⇷⋰*⋻841))","cot":[{"info":"⋰*⋻838⩷∴⋰*⋻12A6=⋰*⋻-1056","layer":3},{"info":"⋰*⋻82A⋳⪒⋰*⋻2049=⋰*⋻-831","layer":3},{"info":"⋰*⋻-1056⫸⊐⋰*⋻-831=⋰*⋻800","layer":2},{"info":"⋰*⋻2537*⋰*⋻3043=⋰*⋻75A585A","layer":3},{"info":"⋰*⋻1042⇼⇔∾⋰*⋻2416=⋰*⋻1384","layer":3},{"info":"⋰*⋻75A585A⋓⋰*⋻1384=⋰*⋻0","layer":2},{"info":"⋰*⋻800⋓⋰*⋻0=⋰*⋻0","layer":1},{"info":"⋰*⋻1A18⨪↰⇹⋰*⋻1848=⋰*⋻1A18","layer":3},{"info":"⋰*⋻1A18⊭∹↮=⋰*⋻3935","layer":2},{"info":"⋰*⋻2092⋳⪒⋰*⋻1101=⋰*⋻2932","layer":3},{"info":"⋰*⋻1974⇷⋰*⋻841=⋰*⋻1582","layer":3},{"info":"⋰*⋻2932⪢⋰*⋻1582=NaN","layer":2},{"info":"⋰*⋻3935↺NaN=NaN","layer":1},{"info":"⋰*⋻0⪢NaN=NaN","layer":0}]}
{"id":890,"expression_no_base_symbol":"((↔$4508$)⋓($1584$⪠⩆⊳)⫡⨏($5506$*$1597$)⩷∴($4028$⫸⊐$4316$))⫌⩹⨱","expression":"((↔⋰*⋻3429)⋓(⋰*⋻1210⪠⩆⊳)⫡⨏(⋰*⋻4156*⋰*⋻1222)⩷∴(⋰*⋻3032⫸⊐⋰*⋻3274))⫌⩹⨱","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1667,"operation_count":8,"complexity_ratio":208.375,"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":4508,"base":11}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1584,"base":11}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":5506,"base":11},"right_expr":{"type":"numeric_atoms","value":1597,"base":11}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4028,"base":11},"right_expr":{"type":"numeric_atoms","value":4316,"base":11}}}}},"used_operators":["EBcxylXtPf","QMFrweE19q","T2fj7uvVaJ","ruOEQAzv1W","JLbD19bQDL","9FxExcQeMw","9HNa5Wba9A","mqXw5SEYmG"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⋰*⋻366A5111","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4508","layer":4},{"info":"compute unary expreesion, input=4508, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-4235","layer":3},{"info":"number node, value=1584","layer":4},{"info":"compute unary expreesion, input=1584, 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=-4235, 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=5506","layer":4},{"info":"number node, value=1597","layer":4},{"info":"compute binary expreesion, left_input=5506, right_input=1597, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=8793082","layer":3},{"info":"number node, value=4028","layer":4},{"info":"number node, value=4316","layer":4},{"info":"compute binary expreesion, left_input=4028, right_input=4316, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=17139","layer":3},{"info":"compute binary expreesion, left_input=8793082, right_input=17139, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=17551854","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=17551854, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=35104491","layer":1},{"info":"compute unary expreesion, input=35104491, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=70210383","layer":0}],"base":11,"result_base":11,"text":"((↔⋰*⋻3429)⋓(⋰*⋻1210⪠⩆⊳)⫡⨏(⋰*⋻4156*⋰*⋻1222)⩷∴(⋰*⋻3032⫸⊐⋰*⋻3274))⫌⩹⨱=⋰*⋻366A5111","reverse_text":"⋰*⋻366A5111=((↔⋰*⋻3429)⋓(⋰*⋻1210⪠⩆⊳)⫡⨏(⋰*⋻4156*⋰*⋻1222)⩷∴(⋰*⋻3032⫸⊐⋰*⋻3274))⫌⩹⨱","cot":[{"info":"↔⋰*⋻3429=⋰*⋻-3200","layer":3},{"info":"⋰*⋻1210⪠⩆⊳=⋰*⋻0","layer":3},{"info":"⋰*⋻-3200⋓⋰*⋻0=⋰*⋻0","layer":2},{"info":"⋰*⋻4156*⋰*⋻1222=⋰*⋻4A66411","layer":3},{"info":"⋰*⋻3032⫸⊐⋰*⋻3274=⋰*⋻11971","layer":3},{"info":"⋰*⋻4A66411⩷∴⋰*⋻11971=⋰*⋻99A8A71","layer":2},{"info":"⋰*⋻0⫡⨏⋰*⋻99A8A71=⋰*⋻188A7584","layer":1},{"info":"⋰*⋻188A7584⫌⩹⨱=⋰*⋻366A5111","layer":0}]}
{"id":891,"expression_no_base_symbol":"(+⊝⨔($6882$⫥∨⫟$2349$↙$1799$≎⊠⪸$2819$))⊘","expression":"(+⊝⨔(⋰*⋻5197⫥∨⫟⋰*⋻1846↙⋰*⋻1396≎⊠⪸⋰*⋻2133))⊘","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":464,"operation_count":5,"complexity_ratio":92.8,"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":6882,"base":11},"right_expr":{"type":"numeric_atoms","value":2349,"base":11}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1799,"base":11},"right_expr":{"type":"numeric_atoms","value":2819,"base":11}}}}},"used_operators":["gu96TGCTMs","DhbWaqg5eL","yyfyN0ffXY","KYD54nUTWz","bJkvcejdHO"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY","8HhzD0ZcuI","rGHVDoGpnC","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6882","layer":4},{"info":"number node, value=2349","layer":4},{"info":"compute binary expreesion, left_input=6882, right_input=2349, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1799","layer":4},{"info":"number node, value=2819","layer":4},{"info":"compute binary expreesion, left_input=1799, right_input=2819, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=465468","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=465468, 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 unary expreesion, input=1522, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":0}],"base":11,"result_base":11,"text":"(+⊝⨔(⋰*⋻5197⫥∨⫟⋰*⋻1846↙⋰*⋻1396≎⊠⪸⋰*⋻2133))⊘=⋰*⋻0","reverse_text":"⋰*⋻0=(+⊝⨔(⋰*⋻5197⫥∨⫟⋰*⋻1846↙⋰*⋻1396≎⊠⪸⋰*⋻2133))⊘","cot":[{"info":"⋰*⋻5197⫥∨⫟⋰*⋻1846=NaN","layer":3},{"info":"⋰*⋻1396≎⊠⪸⋰*⋻2133=⋰*⋻298793","layer":3},{"info":"NaN↙⋰*⋻298793=NaN","layer":2},{"info":"+⊝⨔NaN=⋰*⋻1164","layer":1},{"info":"⋰*⋻1164⊘=⋰*⋻0","layer":0}]}
{"id":892,"expression_no_base_symbol":"⋗⩬⋾(($2444$⨪↰⇹$1354$/$2397$∀⇚≩$3760$)∲⫓$3475$⩷∴$4452$⊭↱$2042$⫸⊐$1020$)","expression":"⋗⩬⋾((⋰*⋻1922⨪↰⇹⋰*⋻1021/⋰*⋻188A∀⇚≩⋰*⋻2909)∲⫓⋰*⋻267A⩷∴⋰*⋻3388⊭↱⋰*⋻1597⫸⊐⋰*⋻848)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":19265,"operation_count":8,"complexity_ratio":2408.125,"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":2444,"base":11},"right_expr":{"type":"numeric_atoms","value":1354,"base":11}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2397,"base":11},"right_expr":{"type":"numeric_atoms","value":3760,"base":11}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3475,"base":11},"right_expr":{"type":"numeric_atoms","value":4452,"base":11}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2042,"base":11},"right_expr":{"type":"numeric_atoms","value":1020,"base":11}}}}},"used_operators":["DpFCA1CohY","i8ToyICDmI","XhwjNDsVaA","tmPS8pqC7x","LRNGc0VcxI","COABgblf1C","9FxExcQeMw","mqXw5SEYmG"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rJVOvQCfKK","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2444","layer":4},{"info":"number node, value=1354","layer":4},{"info":"compute binary expreesion, left_input=2444, right_input=1354, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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=2397","layer":4},{"info":"number node, value=3760","layer":4},{"info":"compute binary expreesion, left_input=2397, right_input=3760, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=2444, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=3475","layer":4},{"info":"number node, value=4452","layer":4},{"info":"compute binary expreesion, left_input=3475, right_input=4452, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-1986","layer":3},{"info":"number node, value=2042","layer":4},{"info":"number node, value=1020","layer":4},{"info":"compute binary expreesion, left_input=2042, right_input=1020, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=3955","layer":3},{"info":"compute binary expreesion, left_input=-1986, right_input=3955, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=11887","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=11887, 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 = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=0","layer":0}],"base":11,"result_base":11,"text":"⋗⩬⋾((⋰*⋻1922⨪↰⇹⋰*⋻1021/⋰*⋻188A∀⇚≩⋰*⋻2909)∲⫓⋰*⋻267A⩷∴⋰*⋻3388⊭↱⋰*⋻1597⫸⊐⋰*⋻848)=⋰*⋻0","reverse_text":"⋰*⋻0=⋗⩬⋾((⋰*⋻1922⨪↰⇹⋰*⋻1021/⋰*⋻188A∀⇚≩⋰*⋻2909)∲⫓⋰*⋻267A⩷∴⋰*⋻3388⊭↱⋰*⋻1597⫸⊐⋰*⋻848)","cot":[{"info":"⋰*⋻1922⨪↰⇹⋰*⋻1021=⋰*⋻1922","layer":3},{"info":"⋰*⋻188A∀⇚≩⋰*⋻2909=NaN","layer":3},{"info":"⋰*⋻1922/NaN=NaN","layer":2},{"info":"⋰*⋻267A⩷∴⋰*⋻3388=⋰*⋻-1546","layer":3},{"info":"⋰*⋻1597⫸⊐⋰*⋻848=⋰*⋻2A76","layer":3},{"info":"⋰*⋻-1546⊭↱⋰*⋻2A76=⋰*⋻8A27","layer":2},{"info":"NaN∲⫓⋰*⋻8A27=⋰*⋻0","layer":1},{"info":"⋗⩬⋾⋰*⋻0=⋰*⋻0","layer":0}]}
{"id":893,"expression_no_base_symbol":"(($2368$⪛$3737$)⨟⋌⩍($5238$⨵⪆$1325$)⋥≓≎($1331$∲⫓$1022$)⩚⊴⇥(≉$2943$))∑⇟⊟((⫛⫱⨽($1232$⨽$1530$))⫡⨏$6916$⋝⋈⪟$1648$⪒$1028$⪘⫢$3112$)","expression":"((⋰*⋻1863⪛⋰*⋻2898)⨟⋌⩍(⋰*⋻3A32⨵⪆⋰*⋻AA5)⋥≓≎(⋰*⋻1000∲⫓⋰*⋻84A)⩚⊴⇥(≉⋰*⋻2236))∑⇟⊟((⫛⫱⨽(⋰*⋻A20⨽⋰*⋻1171))⫡⨏⋰*⋻5218⋝⋈⪟⋰*⋻1269⪒⋰*⋻855⪘⫢⋰*⋻237A)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":3858,"operation_count":14,"complexity_ratio":275.57142857142856,"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":2368,"base":11},"right_expr":{"type":"numeric_atoms","value":3737,"base":11}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":5238,"base":11},"right_expr":{"type":"numeric_atoms","value":1325,"base":11}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1331,"base":11},"right_expr":{"type":"numeric_atoms","value":1022,"base":11}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2943,"base":11}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1232,"base":11},"right_expr":{"type":"numeric_atoms","value":1530,"base":11}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":6916,"base":11},"right_expr":{"type":"numeric_atoms","value":1648,"base":11}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1028,"base":11},"right_expr":{"type":"numeric_atoms","value":3112,"base":11}}}}},"used_operators":["U7g4x0WXJJ","Qy55tPpLXF","rGHVDoGpnC","uFcxV4UQCh","2DQ55sFlQl","NTOWxs364D","i8ToyICDmI","e1ybzncUwg","QMFrweE19q","DlLNRPXxWL","8HhzD0ZcuI","f6k1SAg4EE","2DDjHMKMc0","oacrs7FA3X"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2368","layer":4},{"info":"number node, value=3737","layer":4},{"info":"compute binary expreesion, left_input=2368, right_input=3737, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2368","layer":3},{"info":"number node, value=5238","layer":4},{"info":"number node, value=1325","layer":4},{"info":"compute binary expreesion, left_input=5238, right_input=1325, 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=2368, right_input=160, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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=1331","layer":4},{"info":"number node, value=1022","layer":4},{"info":"compute binary expreesion, left_input=1331, right_input=1022, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=2943","layer":4},{"info":"compute unary expreesion, input=2943, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3474","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3474, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3595","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-3595, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-7157","layer":1},{"info":"number node, value=1232","layer":4},{"info":"number node, value=1530","layer":4},{"info":"compute binary expreesion, left_input=1232, right_input=1530, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-4556748","layer":3},{"info":"compute unary expreesion, input=-4556748, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":2},{"info":"number node, value=6916","layer":4},{"info":"number node, value=1648","layer":4},{"info":"compute binary expreesion, left_input=6916, right_input=1648, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6916","layer":3},{"info":"number node, value=1028","layer":4},{"info":"number node, value=3112","layer":4},{"info":"compute binary expreesion, left_input=1028, right_input=3112, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=1932","layer":3},{"info":"compute binary expreesion, left_input=6916, right_input=1932, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8848","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-8848, op_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=-7157, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1863⪛⋰*⋻2898)⨟⋌⩍(⋰*⋻3A32⨵⪆⋰*⋻AA5)⋥≓≎(⋰*⋻1000∲⫓⋰*⋻84A)⩚⊴⇥(≉⋰*⋻2236))∑⇟⊟((⫛⫱⨽(⋰*⋻A20⨽⋰*⋻1171))⫡⨏⋰*⋻5218⋝⋈⪟⋰*⋻1269⪒⋰*⋻855⪘⫢⋰*⋻237A)=NaN","reverse_text":"NaN=((⋰*⋻1863⪛⋰*⋻2898)⨟⋌⩍(⋰*⋻3A32⨵⪆⋰*⋻AA5)⋥≓≎(⋰*⋻1000∲⫓⋰*⋻84A)⩚⊴⇥(≉⋰*⋻2236))∑⇟⊟((⫛⫱⨽(⋰*⋻A20⨽⋰*⋻1171))⫡⨏⋰*⋻5218⋝⋈⪟⋰*⋻1269⪒⋰*⋻855⪘⫢⋰*⋻237A)","cot":[{"info":"⋰*⋻1863⪛⋰*⋻2898=⋰*⋻1863","layer":3},{"info":"⋰*⋻3A32⨵⪆⋰*⋻AA5=⋰*⋻136","layer":3},{"info":"⋰*⋻1863⨟⋌⩍⋰*⋻136=⋰*⋻0","layer":2},{"info":"⋰*⋻1000∲⫓⋰*⋻84A=⋰*⋻0","layer":3},{"info":"≉⋰*⋻2236=⋰*⋻2679","layer":3},{"info":"⋰*⋻0⩚⊴⇥⋰*⋻2679=⋰*⋻-2779","layer":2},{"info":"⋰*⋻0⋥≓≎⋰*⋻-2779=⋰*⋻-5417","layer":1},{"info":"⋰*⋻A20⨽⋰*⋻1171=⋰*⋻-2632609","layer":3},{"info":"⫛⫱⨽⋰*⋻-2632609=NaN","layer":2},{"info":"⋰*⋻5218⋝⋈⪟⋰*⋻1269=⋰*⋻5218","layer":3},{"info":"⋰*⋻855⪘⫢⋰*⋻237A=⋰*⋻14A7","layer":3},{"info":"⋰*⋻5218⪒⋰*⋻14A7=⋰*⋻-6714","layer":2},{"info":"NaN⫡⨏⋰*⋻-6714=NaN","layer":1},{"info":"⋰*⋻-5417∑⇟⊟NaN=NaN","layer":0}]}
{"id":894,"expression_no_base_symbol":"(⨞⊢($3026$⨓$1298$↙(⋗⩬⋾$1468$)))↬(($2398$⊦⊿)≎⊠⪸($7601$⪄$2688$)+((⩦⩻⨪$1484$)⨵⪆$4806$⇼⇔∾$8002$))","expression":"(⨞⊢(⋰*⋻2301⨓⋰*⋻A80↙(⋗⩬⋾⋰*⋻1115)))↬((⋰*⋻1890⊦⊿)≎⊠⪸(⋰*⋻5790⪄⋰*⋻2024)+((⩦⩻⨪⋰*⋻112A)⨵⪆⋰*⋻367A⇼⇔∾⋰*⋻6015))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1430,"operation_count":12,"complexity_ratio":119.16666666666667,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3026,"base":11},"right_expr":{"type":"numeric_atoms","value":1298,"base":11}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1468,"base":11}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":2398,"base":11}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":7601,"base":11},"right_expr":{"type":"numeric_atoms","value":2688,"base":11}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1484,"base":11}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":4806,"base":11},"right_expr":{"type":"numeric_atoms","value":8002,"base":11}}}}},"used_operators":["B5M0gjZbta","xUOZtlo3hN","yyfyN0ffXY","3ViojmjbAp","DpFCA1CohY","W4YGzv6Whe","bJkvcejdHO","14qkJME0vr","SUmda5xLS4","2DQ55sFlQl","2td37pGCOC","tifHPKVTfV"],"dependent_operators":["rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3026","layer":4},{"info":"number node, value=1298","layer":4},{"info":"compute binary expreesion, left_input=3026, right_input=1298, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1301","layer":3},{"info":"number node, value=1468","layer":4},{"info":"compute unary expreesion, input=1468, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-4404","layer":3},{"info":"compute binary expreesion, left_input=-1301, right_input=-4404, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-1301","layer":2},{"info":"compute unary expreesion, input=-1301, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=1127","layer":1},{"info":"number node, value=2398","layer":4},{"info":"compute unary expreesion, input=2398, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-7273","layer":3},{"info":"number node, value=7601","layer":4},{"info":"number node, value=2688","layer":4},{"info":"compute binary expreesion, left_input=7601, right_input=2688, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1131789","layer":3},{"info":"compute binary expreesion, left_input=-7273, right_input=-1131789, 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=1484","layer":4},{"info":"compute unary expreesion, input=1484, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1484","layer":3},{"info":"number node, value=4806","layer":4},{"info":"number node, value=8002","layer":4},{"info":"compute binary expreesion, left_input=4806, right_input=8002, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=3196","layer":3},{"info":"compute binary expreesion, left_input=1484, right_input=3196, 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 = W4YGzv6Whe binary_op_definition= 'None', output=227","layer":1},{"info":"compute binary expreesion, left_input=1127, right_input=227, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⨞⊢(⋰*⋻2301⨓⋰*⋻A80↙(⋗⩬⋾⋰*⋻1115)))↬((⋰*⋻1890⊦⊿)≎⊠⪸(⋰*⋻5790⪄⋰*⋻2024)+((⩦⩻⨪⋰*⋻112A)⨵⪆⋰*⋻367A⇼⇔∾⋰*⋻6015))=NaN","reverse_text":"NaN=(⨞⊢(⋰*⋻2301⨓⋰*⋻A80↙(⋗⩬⋾⋰*⋻1115)))↬((⋰*⋻1890⊦⊿)≎⊠⪸(⋰*⋻5790⪄⋰*⋻2024)+((⩦⩻⨪⋰*⋻112A)⨵⪆⋰*⋻367A⇼⇔∾⋰*⋻6015))","cot":[{"info":"⋰*⋻2301⨓⋰*⋻A80=⋰*⋻-A83","layer":3},{"info":"⋗⩬⋾⋰*⋻1115=⋰*⋻-3344","layer":3},{"info":"⋰*⋻-A83↙⋰*⋻-3344=⋰*⋻-A83","layer":2},{"info":"⨞⊢⋰*⋻-A83=⋰*⋻935","layer":1},{"info":"⋰*⋻1890⊦⊿=⋰*⋻-5512","layer":3},{"info":"⋰*⋻5790⪄⋰*⋻2024=⋰*⋻-70336A","layer":3},{"info":"⋰*⋻-5512≎⊠⪸⋰*⋻-70336A=⋰*⋻61","layer":2},{"info":"⩦⩻⨪⋰*⋻112A=⋰*⋻112A","layer":3},{"info":"⋰*⋻367A⇼⇔∾⋰*⋻6015=⋰*⋻2446","layer":3},{"info":"⋰*⋻112A⨵⪆⋰*⋻2446=⋰*⋻136","layer":2},{"info":"⋰*⋻61+⋰*⋻136=⋰*⋻197","layer":1},{"info":"⋰*⋻935↬⋰*⋻197=NaN","layer":0}]}
{"id":895,"expression_no_base_symbol":"⪝⪂⫅(≉$2713$)⊴(⨰⫟⨤$6943$)⇷($2263$⨽$7910$⨵⪆$1141$≭$3204$)","expression":"⪝⪂⫅(≉⋰*⋻2047)⊴(⨰⫟⨤⋰*⋻5242)⇷(⋰*⋻1778⨽⋰*⋻5A41⨵⪆⋰*⋻948≭⋰*⋻2453)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":29372,"operation_count":8,"complexity_ratio":3671.5,"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":2713,"base":11}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":6943,"base":11}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2263,"base":11},"right_expr":{"type":"numeric_atoms","value":7910,"base":11}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1141,"base":11},"right_expr":{"type":"numeric_atoms","value":3204,"base":11}}}}},"used_operators":["XTarYq4gQB","mp7IySMOzn","Nsiff2A1zJ","e1ybzncUwg","Tw270M8GLb","2DQ55sFlQl","8HhzD0ZcuI","rxpJgHHUmx"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","AHs5Up7iyr"],"result":"⋰*⋻-32384","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2713","layer":4},{"info":"compute unary expreesion, input=2713, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3244","layer":3},{"info":"number node, value=6943","layer":4},{"info":"compute unary expreesion, input=6943, 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=3244, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=2263","layer":4},{"info":"number node, value=7910","layer":4},{"info":"compute binary expreesion, left_input=2263, right_input=7910, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-15385923","layer":3},{"info":"number node, value=1141","layer":4},{"info":"number node, value=3204","layer":4},{"info":"compute binary expreesion, left_input=1141, right_input=3204, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=-15385923, 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=nan, right_input=160, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=320","layer":1},{"info":"compute unary expreesion, input=320, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-47040","layer":0}],"base":11,"result_base":11,"text":"⪝⪂⫅(≉⋰*⋻2047)⊴(⨰⫟⨤⋰*⋻5242)⇷(⋰*⋻1778⨽⋰*⋻5A41⨵⪆⋰*⋻948≭⋰*⋻2453)=⋰*⋻-32384","reverse_text":"⋰*⋻-32384=⪝⪂⫅(≉⋰*⋻2047)⊴(⨰⫟⨤⋰*⋻5242)⇷(⋰*⋻1778⨽⋰*⋻5A41⨵⪆⋰*⋻948≭⋰*⋻2453)","cot":[{"info":"≉⋰*⋻2047=⋰*⋻248A","layer":3},{"info":"⨰⫟⨤⋰*⋻5242=NaN","layer":3},{"info":"⋰*⋻248A⊴NaN=NaN","layer":2},{"info":"⋰*⋻1778⨽⋰*⋻5A41=⋰*⋻-8759743","layer":3},{"info":"⋰*⋻948≭⋰*⋻2453=NaN","layer":3},{"info":"⋰*⋻-8759743⨵⪆NaN=⋰*⋻136","layer":2},{"info":"NaN⇷⋰*⋻136=⋰*⋻271","layer":1},{"info":"⪝⪂⫅⋰*⋻271=⋰*⋻-32384","layer":0}]}
{"id":896,"expression_no_base_symbol":"($3509$⪢$3136$⨪↰⇹(≉$4107$)≭($1569$⪄$4879$)⨪↰⇹(⪲⇎$1262$))⨟⋌⩍(($1726$↺$6591$)⨎$4749$⇷$1089$)⊴(($1323$⫡⨏$6599$)-(≉$3310$))","expression":"(⋰*⋻2700⪢⋰*⋻23A1⨪↰⇹(≉⋰*⋻30A4)≭(⋰*⋻11A7⪄⋰*⋻3736)⨪↰⇹(⪲⇎⋰*⋻A48))⨟⋌⩍((⋰*⋻132A↺⋰*⋻4A52)⨎⋰*⋻3628⇷⋰*⋻900)⊴((⋰*⋻AA3⫡⨏⋰*⋻4A5A)-(≉⋰*⋻253A))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":339994,"operation_count":15,"complexity_ratio":22666.266666666666,"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":3509,"base":11},"right_expr":{"type":"numeric_atoms","value":3136,"base":11}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":4107,"base":11}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1569,"base":11},"right_expr":{"type":"numeric_atoms","value":4879,"base":11}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1262,"base":11}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1726,"base":11},"right_expr":{"type":"numeric_atoms","value":6591,"base":11}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4749,"base":11},"right_expr":{"type":"numeric_atoms","value":1089,"base":11}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1323,"base":11},"right_expr":{"type":"numeric_atoms","value":6599,"base":11}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":3310,"base":11}}}}},"used_operators":["rGHVDoGpnC","rxpJgHHUmx","tmPS8pqC7x","dWAJyo7jo9","e1ybzncUwg","SUmda5xLS4","XPYlsWDdGa","Nsiff2A1zJ","rJVOvQCfKK","7j4O788W3g","mp7IySMOzn","rysDP5nf3Z","QMFrweE19q"],"dependent_operators":["Tcnh7f0tEr","AHs5Up7iyr","rJVOvQCfKK","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3509","layer":4},{"info":"number node, value=3136","layer":4},{"info":"compute binary expreesion, left_input=3509, right_input=3136, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=4107","layer":4},{"info":"compute unary expreesion, input=4107, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=4638","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4638, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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=1569","layer":4},{"info":"number node, value=4879","layer":4},{"info":"compute binary expreesion, left_input=1569, right_input=4879, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-247817","layer":3},{"info":"number node, value=1262","layer":4},{"info":"compute unary expreesion, input=1262, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2524","layer":3},{"info":"compute binary expreesion, left_input=-247817, right_input=2524, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=247817","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=247817, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1726","layer":4},{"info":"number node, value=6591","layer":4},{"info":"compute binary expreesion, left_input=1726, right_input=6591, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=6591","layer":3},{"info":"number node, value=4749","layer":4},{"info":"number node, value=1089","layer":4},{"info":"compute binary expreesion, left_input=4749, right_input=1089, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2178","layer":3},{"info":"compute binary expreesion, left_input=6591, right_input=2178, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2178","layer":2},{"info":"number node, value=1323","layer":4},{"info":"number node, value=6599","layer":4},{"info":"compute binary expreesion, left_input=1323, right_input=6599, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=20596","layer":3},{"info":"number node, value=3310","layer":4},{"info":"compute unary expreesion, input=3310, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3841","layer":3},{"info":"compute binary expreesion, left_input=20596, right_input=3841, op_id = rysDP5nf3Z binary_op_definition= 'None', output=16755","layer":2},{"info":"compute binary expreesion, left_input=2178, right_input=16755, 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":11,"result_base":11,"text":"(⋰*⋻2700⪢⋰*⋻23A1⨪↰⇹(≉⋰*⋻30A4)≭(⋰*⋻11A7⪄⋰*⋻3736)⨪↰⇹(⪲⇎⋰*⋻A48))⨟⋌⩍((⋰*⋻132A↺⋰*⋻4A52)⨎⋰*⋻3628⇷⋰*⋻900)⊴((⋰*⋻AA3⫡⨏⋰*⋻4A5A)-(≉⋰*⋻253A))=NaN","reverse_text":"NaN=(⋰*⋻2700⪢⋰*⋻23A1⨪↰⇹(≉⋰*⋻30A4)≭(⋰*⋻11A7⪄⋰*⋻3736)⨪↰⇹(⪲⇎⋰*⋻A48))⨟⋌⩍((⋰*⋻132A↺⋰*⋻4A52)⨎⋰*⋻3628⇷⋰*⋻900)⊴((⋰*⋻AA3⫡⨏⋰*⋻4A5A)-(≉⋰*⋻253A))","cot":[{"info":"⋰*⋻2700⪢⋰*⋻23A1=NaN","layer":3},{"info":"≉⋰*⋻30A4=⋰*⋻3537","layer":3},{"info":"NaN⨪↰⇹⋰*⋻3537=NaN","layer":2},{"info":"⋰*⋻11A7⪄⋰*⋻3736=⋰*⋻-15A209","layer":3},{"info":"⪲⇎⋰*⋻A48=⋰*⋻1995","layer":3},{"info":"⋰*⋻-15A209⨪↰⇹⋰*⋻1995=⋰*⋻15A209","layer":2},{"info":"NaN≭⋰*⋻15A209=NaN","layer":1},{"info":"⋰*⋻132A↺⋰*⋻4A52=⋰*⋻4A52","layer":3},{"info":"⋰*⋻3628⇷⋰*⋻900=⋰*⋻1700","layer":3},{"info":"⋰*⋻4A52⨎⋰*⋻1700=⋰*⋻1700","layer":2},{"info":"⋰*⋻AA3⫡⨏⋰*⋻4A5A=⋰*⋻14524","layer":3},{"info":"≉⋰*⋻253A=⋰*⋻2982","layer":3},{"info":"⋰*⋻14524-⋰*⋻2982=⋰*⋻11652","layer":2},{"info":"⋰*⋻1700⊴⋰*⋻11652=NaN","layer":1},{"info":"NaN⨟⋌⩍NaN=NaN","layer":0}]}
{"id":897,"expression_no_base_symbol":"⊄⩳↩(⨑⩽⪐($1971$⨵⪆$2302$)⩚⊴⇥$4738$⊴$1169$)","expression":"⊄⩳↩(⨑⩽⪐(⋰*⋻1532⨵⪆⋰*⋻1803)⩚⊴⇥⋰*⋻3618⊴⋰*⋻973)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":5787,"operation_count":5,"complexity_ratio":1157.4,"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":1971,"base":11},"right_expr":{"type":"numeric_atoms","value":2302,"base":11}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4738,"base":11},"right_expr":{"type":"numeric_atoms","value":1169,"base":11}}}}},"used_operators":["8w2t5hMYqp","AF7qkfDlqP","NTOWxs364D","2DQ55sFlQl","Nsiff2A1zJ"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=1971","layer":4},{"info":"number node, value=2302","layer":4},{"info":"compute binary expreesion, left_input=1971, right_input=2302, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=4738","layer":4},{"info":"number node, value=1169","layer":4},{"info":"compute binary expreesion, left_input=4738, right_input=1169, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⊄⩳↩(⨑⩽⪐(⋰*⋻1532⨵⪆⋰*⋻1803)⩚⊴⇥⋰*⋻3618⊴⋰*⋻973)=NaN","reverse_text":"NaN=⊄⩳↩(⨑⩽⪐(⋰*⋻1532⨵⪆⋰*⋻1803)⩚⊴⇥⋰*⋻3618⊴⋰*⋻973)","cot":[{"info":"⋰*⋻1532⨵⪆⋰*⋻1803=⋰*⋻136","layer":3},{"info":"⋰*⋻3618⊴⋰*⋻973=NaN","layer":3},{"info":"⋰*⋻136⩚⊴⇥NaN=NaN","layer":2},{"info":"⨑⩽⪐NaN=NaN","layer":1},{"info":"⊄⩳↩NaN=NaN","layer":0}]}
{"id":898,"expression_no_base_symbol":"(↥$1905$⨓$2047$)⇷($1448$⨪↰⇹$4837$)⇷($3342$⪠⩆⊳)+⇶⊼(($6070$⨰$2726$⩚⊴⇥($4294$⊠≄⫣))≫≃)","expression":"(↥⋰*⋻1482⨓⋰*⋻15A1)⇷(⋰*⋻10A7⨪↰⇹⋰*⋻36A8)⇷(⋰*⋻2569⪠⩆⊳)+⇶⊼((⋰*⋻4619⨰⋰*⋻2059⩚⊴⇥(⋰*⋻3254⊠≄⫣))≫≃)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":24425,"operation_count":11,"complexity_ratio":2220.4545454545455,"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":1905,"base":11},"right_expr":{"type":"numeric_atoms","value":2047,"base":11}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1448,"base":11},"right_expr":{"type":"numeric_atoms","value":4837,"base":11}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":3342,"base":11}}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":6070,"base":11},"right_expr":{"type":"numeric_atoms","value":2726,"base":11}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":4294,"base":11}}}}},"used_operators":["TpPTUOHfaN","mp7IySMOzn","A8NUZmVepG","3ViojmjbAp","tmPS8pqC7x","JLbD19bQDL","X99M06cbEe","NTOWxs364D","eewbuw0ToL","DIvbN7qnHd"],"dependent_operators":["AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","k8jYdgA6NY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1905","layer":4},{"info":"number node, value=2047","layer":4},{"info":"compute binary expreesion, left_input=1905, right_input=2047, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2050","layer":3},{"info":"compute unary expreesion, input=-2050, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=41","layer":2},{"info":"number node, value=1448","layer":4},{"info":"number node, value=4837","layer":4},{"info":"compute binary expreesion, left_input=1448, right_input=4837, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1448","layer":3},{"info":"number node, value=3342","layer":4},{"info":"compute unary expreesion, input=3342, 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=1448, right_input=0, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=41, right_input=0, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":1},{"info":"number node, value=6070","layer":4},{"info":"number node, value=2726","layer":4},{"info":"compute binary expreesion, left_input=6070, right_input=2726, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=3354","layer":3},{"info":"number node, value=4294","layer":4},{"info":"compute unary expreesion, input=4294, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=3354, right_input=0, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3475","layer":2},{"info":"compute unary expreesion, input=-3475, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=-5549","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-5549, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"(↥⋰*⋻1482⨓⋰*⋻15A1)⇷(⋰*⋻10A7⨪↰⇹⋰*⋻36A8)⇷(⋰*⋻2569⪠⩆⊳)+⇶⊼((⋰*⋻4619⨰⋰*⋻2059⩚⊴⇥(⋰*⋻3254⊠≄⫣))≫≃)=NaN","reverse_text":"NaN=(↥⋰*⋻1482⨓⋰*⋻15A1)⇷(⋰*⋻10A7⨪↰⇹⋰*⋻36A8)⇷(⋰*⋻2569⪠⩆⊳)+⇶⊼((⋰*⋻4619⨰⋰*⋻2059⩚⊴⇥(⋰*⋻3254⊠≄⫣))≫≃)","cot":[{"info":"⋰*⋻1482⨓⋰*⋻15A1=⋰*⋻-15A4","layer":3},{"info":"↥⋰*⋻-15A4=⋰*⋻38","layer":2},{"info":"⋰*⋻10A7⨪↰⇹⋰*⋻36A8=⋰*⋻10A7","layer":3},{"info":"⋰*⋻2569⪠⩆⊳=⋰*⋻0","layer":3},{"info":"⋰*⋻10A7⇷⋰*⋻0=⋰*⋻0","layer":2},{"info":"⋰*⋻38⇷⋰*⋻0=⋰*⋻0","layer":1},{"info":"⋰*⋻4619⨰⋰*⋻2059=⋰*⋻257A","layer":3},{"info":"⋰*⋻3254⊠≄⫣=⋰*⋻0","layer":3},{"info":"⋰*⋻257A⩚⊴⇥⋰*⋻0=⋰*⋻-267A","layer":2},{"info":"⋰*⋻-267A≫≃=⋰*⋻-4195","layer":1},{"info":"⋰*⋻0+⇶⊼⋰*⋻-4195=NaN","layer":0}]}
{"id":899,"expression_no_base_symbol":"(↔($8206$⇷$1509$⋷(⊥$3260$)))⪘⫢((($1420$⊭∹↮)⨸⪁($2445$↛⩡⫤))⨽(⊥($1192$⇼⇔∾$1143$)))","expression":"(↔(⋰*⋻6190⇷⋰*⋻1152⋷(⊥⋰*⋻24A4)))⪘⫢(((⋰*⋻1081⊭∹↮)⨸⪁(⋰*⋻1923↛⩡⫤))⨽(⊥(⋰*⋻994⇼⇔∾⋰*⋻94A)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":849997,"operation_count":11,"complexity_ratio":77272.45454545454,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":8206,"base":11},"right_expr":{"type":"numeric_atoms","value":1509,"base":11}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":3260,"base":11}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1420,"base":11}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":2445,"base":11}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1192,"base":11},"right_expr":{"type":"numeric_atoms","value":1143,"base":11}}}}},"used_operators":["oacrs7FA3X","ruOEQAzv1W","23Mk6UjR3U","mp7IySMOzn","Q3PJZHRvZv","8HhzD0ZcuI","g55IO6H4Gj","xNBdhnnwKq","FU0Cs4j7VP","tifHPKVTfV"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","fu6greOZ01","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=8206","layer":4},{"info":"number node, value=1509","layer":4},{"info":"compute binary expreesion, left_input=8206, right_input=1509, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3018","layer":3},{"info":"number node, value=3260","layer":4},{"info":"compute unary expreesion, input=3260, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3018, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":1},{"info":"number node, value=1420","layer":4},{"info":"compute unary expreesion, input=1420, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2840","layer":3},{"info":"number node, value=2445","layer":4},{"info":"compute unary expreesion, input=2445, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-365284","layer":3},{"info":"compute binary expreesion, left_input=2840, right_input=-365284, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-724888","layer":2},{"info":"number node, value=1192","layer":4},{"info":"number node, value=1143","layer":4},{"info":"compute binary expreesion, left_input=1192, right_input=1143, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-49","layer":3},{"info":"compute unary expreesion, input=-49, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=52","layer":2},{"info":"compute binary expreesion, left_input=-724888, right_input=52, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=-inf, 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":11,"result_base":11,"text":"(↔(⋰*⋻6190⇷⋰*⋻1152⋷(⊥⋰*⋻24A4)))⪘⫢(((⋰*⋻1081⊭∹↮)⨸⪁(⋰*⋻1923↛⩡⫤))⨽(⊥(⋰*⋻994⇼⇔∾⋰*⋻94A)))=⋰*⋻0","reverse_text":"⋰*⋻0=(↔(⋰*⋻6190⇷⋰*⋻1152⋷(⊥⋰*⋻24A4)))⪘⫢(((⋰*⋻1081⊭∹↮)⨸⪁(⋰*⋻1923↛⩡⫤))⨽(⊥(⋰*⋻994⇼⇔∾⋰*⋻94A)))","cot":[{"info":"⋰*⋻6190⇷⋰*⋻1152=⋰*⋻22A4","layer":3},{"info":"⊥⋰*⋻24A4=NaN","layer":3},{"info":"⋰*⋻22A4⋷NaN=NaN","layer":2},{"info":"↔NaN=⋰*⋻-112","layer":1},{"info":"⋰*⋻1081⊭∹↮=⋰*⋻2152","layer":3},{"info":"⋰*⋻1923↛⩡⫤=⋰*⋻-22A497","layer":3},{"info":"⋰*⋻2152⨸⪁⋰*⋻-22A497=⋰*⋻-45568A","layer":2},{"info":"⋰*⋻994⇼⇔∾⋰*⋻94A=⋰*⋻-45","layer":3},{"info":"⊥⋰*⋻-45=⋰*⋻48","layer":2},{"info":"⋰*⋻-45568A⨽⋰*⋻48=-Inf","layer":1},{"info":"⋰*⋻-112⪘⫢-Inf=⋰*⋻0","layer":0}]}
{"id":900,"expression_no_base_symbol":"(⊥($2289$⨽$6736$))⨓($1771$⩷∴$1198$⩷∴($6340$⋝⋈⪟$2885$))⨵⪆(≤/$1331$≹⇙⪍$1335$)≧⫂∧($1031$⨸⪁$6474$)⪢($1918$⪄$1766$)","expression":"(⊥(⋰*⋻17A1⨽⋰*⋻5074))⨓(⋰*⋻1370⩷∴⋰*⋻99A⩷∴(⋰*⋻4844⋝⋈⪟⋰*⋻2193))⨵⪆(≤/⋰*⋻1000≹⇙⪍⋰*⋻1004)≧⫂∧(⋰*⋻858⨸⪁⋰*⋻4956)⪢(⋰*⋻1494⪄⋰*⋻1366)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":299923,"operation_count":13,"complexity_ratio":23071.0,"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":2289,"base":11},"right_expr":{"type":"numeric_atoms","value":6736,"base":11}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1771,"base":11},"right_expr":{"type":"numeric_atoms","value":1198,"base":11}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":6340,"base":11},"right_expr":{"type":"numeric_atoms","value":2885,"base":11}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1331,"base":11},"right_expr":{"type":"numeric_atoms","value":1335,"base":11}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1031,"base":11},"right_expr":{"type":"numeric_atoms","value":6474,"base":11}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1918,"base":11},"right_expr":{"type":"numeric_atoms","value":1766,"base":11}}}}},"used_operators":["2DQ55sFlQl","3ViojmjbAp","Q3PJZHRvZv","8HhzD0ZcuI","9FxExcQeMw","2DDjHMKMc0","Ph9nP6C5qx","eLAdDNolq6","AHs5Up7iyr","dWAJyo7jo9","g55IO6H4Gj","SUmda5xLS4"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","fu6greOZ01","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","k8jYdgA6NY","W4YGzv6Whe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"⋰*⋻136","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2289","layer":4},{"info":"number node, value=6736","layer":4},{"info":"compute binary expreesion, left_input=2289, right_input=6736, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-15737457","layer":3},{"info":"compute unary expreesion, input=-15737457, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"number node, value=1771","layer":4},{"info":"number node, value=1198","layer":4},{"info":"compute binary expreesion, left_input=1771, right_input=1198, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1114","layer":3},{"info":"number node, value=6340","layer":4},{"info":"number node, value=2885","layer":4},{"info":"compute binary expreesion, left_input=6340, right_input=2885, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6340","layer":3},{"info":"compute binary expreesion, left_input=1114, right_input=6340, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-10484","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-10484, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=10481","layer":1},{"info":"number node, value=1331","layer":4},{"info":"number node, value=1335","layer":4},{"info":"compute binary expreesion, left_input=1331, right_input=1335, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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":"number node, value=1031","layer":4},{"info":"number node, value=6474","layer":4},{"info":"compute binary expreesion, left_input=1031, right_input=6474, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=15010","layer":3},{"info":"number node, value=1918","layer":4},{"info":"number node, value=1766","layer":4},{"info":"compute binary expreesion, left_input=1918, right_input=1766, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-287017","layer":3},{"info":"compute binary expreesion, left_input=15010, right_input=-287017, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=10481, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":11,"result_base":11,"text":"(⊥(⋰*⋻17A1⨽⋰*⋻5074))⨓(⋰*⋻1370⩷∴⋰*⋻99A⩷∴(⋰*⋻4844⋝⋈⪟⋰*⋻2193))⨵⪆(≤/⋰*⋻1000≹⇙⪍⋰*⋻1004)≧⫂∧(⋰*⋻858⨸⪁⋰*⋻4956)⪢(⋰*⋻1494⪄⋰*⋻1366)=⋰*⋻136","reverse_text":"⋰*⋻136=(⊥(⋰*⋻17A1⨽⋰*⋻5074))⨓(⋰*⋻1370⩷∴⋰*⋻99A⩷∴(⋰*⋻4844⋝⋈⪟⋰*⋻2193))⨵⪆(≤/⋰*⋻1000≹⇙⪍⋰*⋻1004)≧⫂∧(⋰*⋻858⨸⪁⋰*⋻4956)⪢(⋰*⋻1494⪄⋰*⋻1366)","cot":[{"info":"⋰*⋻17A1⨽⋰*⋻5074=⋰*⋻-897986A","layer":3},{"info":"⊥⋰*⋻-897986A=NaN","layer":2},{"info":"⋰*⋻1370⩷∴⋰*⋻99A=⋰*⋻923","layer":3},{"info":"⋰*⋻4844⋝⋈⪟⋰*⋻2193=⋰*⋻4844","layer":3},{"info":"⋰*⋻923⩷∴⋰*⋻4844=⋰*⋻-7971","layer":2},{"info":"NaN⨓⋰*⋻-7971=⋰*⋻7969","layer":1},{"info":"⋰*⋻1000≹⇙⪍⋰*⋻1004=NaN","layer":3},{"info":"≤/NaN=NaN","layer":2},{"info":"⋰*⋻858⨸⪁⋰*⋻4956=⋰*⋻10306","layer":3},{"info":"⋰*⋻1494⪄⋰*⋻1366=⋰*⋻-186705","layer":3},{"info":"⋰*⋻10306⪢⋰*⋻-186705=NaN","layer":2},{"info":"NaN≧⫂∧NaN=NaN","layer":1},{"info":"⋰*⋻7969⨵⪆NaN=⋰*⋻136","layer":0}]}
{"id":901,"expression_no_base_symbol":"⋗⩬⋾((($1261$⇼⇔∾$6968$)⊭∹↮)⩠)","expression":"⋗⩬⋾(((⋰*⋻A47⇼⇔∾⋰*⋻5265)⊭∹↮)⩠)","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":29,"operation_count":4,"complexity_ratio":7.25,"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":1261,"base":11},"right_expr":{"type":"numeric_atoms","value":6968,"base":11}}}}},"used_operators":["DpFCA1CohY","sJAwomhLZr","xNBdhnnwKq","tifHPKVTfV"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=1261","layer":4},{"info":"number node, value=6968","layer":4},{"info":"compute binary expreesion, left_input=1261, right_input=6968, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=5707","layer":3},{"info":"compute unary expreesion, input=5707, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=11414","layer":2},{"info":"compute unary expreesion, input=11414, 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 = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=0","layer":0}],"base":11,"result_base":11,"text":"⋗⩬⋾(((⋰*⋻A47⇼⇔∾⋰*⋻5265)⊭∹↮)⩠)=⋰*⋻0","reverse_text":"⋰*⋻0=⋗⩬⋾(((⋰*⋻A47⇼⇔∾⋰*⋻5265)⊭∹↮)⩠)","cot":[{"info":"⋰*⋻A47⇼⇔∾⋰*⋻5265=⋰*⋻4319","layer":3},{"info":"⋰*⋻4319⊭∹↮=⋰*⋻8637","layer":2},{"info":"⋰*⋻8637⩠=⋰*⋻0","layer":1},{"info":"⋗⩬⋾⋰*⋻0=⋰*⋻0","layer":0}]}
{"id":902,"expression_no_base_symbol":"⊥(($3157$⨎$3524$)⪮%⊝($1941$⫡⨏$5052$))⊴($3395$⨓$1954$⋓$1503$↬$6647$)","expression":"⊥((⋰*⋻2410⨎⋰*⋻2714)⪮%⊝(⋰*⋻1505⫡⨏⋰*⋻3883))⊴(⋰*⋻2607⨓⋰*⋻1517⋓⋰*⋻1147↬⋰*⋻4AA3)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1999,"operation_count":8,"complexity_ratio":249.875,"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":3157,"base":11},"right_expr":{"type":"numeric_atoms","value":3524,"base":11}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1941,"base":11},"right_expr":{"type":"numeric_atoms","value":5052,"base":11}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3395,"base":11},"right_expr":{"type":"numeric_atoms","value":1954,"base":11}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1503,"base":11},"right_expr":{"type":"numeric_atoms","value":6647,"base":11}}}}},"used_operators":["Q3PJZHRvZv","Nsiff2A1zJ","IWmyXbctLI","rJVOvQCfKK","QMFrweE19q","T2fj7uvVaJ","3ViojmjbAp","B5M0gjZbta"],"dependent_operators":["fu6greOZ01","dWAJyo7jo9","14qkJME0vr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3157","layer":4},{"info":"number node, value=3524","layer":4},{"info":"compute binary expreesion, left_input=3157, right_input=3524, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3524","layer":3},{"info":"number node, value=1941","layer":4},{"info":"number node, value=5052","layer":4},{"info":"compute binary expreesion, left_input=1941, right_input=5052, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=20592","layer":3},{"info":"compute binary expreesion, left_input=3524, right_input=20592, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=7364","layer":2},{"info":"number node, value=3395","layer":4},{"info":"number node, value=1954","layer":4},{"info":"compute binary expreesion, left_input=3395, right_input=1954, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1957","layer":3},{"info":"number node, value=1503","layer":4},{"info":"number node, value=6647","layer":4},{"info":"compute binary expreesion, left_input=1503, right_input=6647, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=-1957, 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=7364, 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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⊥((⋰*⋻2410⨎⋰*⋻2714)⪮%⊝(⋰*⋻1505⫡⨏⋰*⋻3883))⊴(⋰*⋻2607⨓⋰*⋻1517⋓⋰*⋻1147↬⋰*⋻4AA3)=NaN","reverse_text":"NaN=⊥((⋰*⋻2410⨎⋰*⋻2714)⪮%⊝(⋰*⋻1505⫡⨏⋰*⋻3883))⊴(⋰*⋻2607⨓⋰*⋻1517⋓⋰*⋻1147↬⋰*⋻4AA3)","cot":[{"info":"⋰*⋻2410⨎⋰*⋻2714=⋰*⋻2714","layer":3},{"info":"⋰*⋻1505⫡⨏⋰*⋻3883=⋰*⋻14520","layer":3},{"info":"⋰*⋻2714⪮%⊝⋰*⋻14520=⋰*⋻5595","layer":2},{"info":"⋰*⋻2607⨓⋰*⋻1517=⋰*⋻-151A","layer":3},{"info":"⋰*⋻1147↬⋰*⋻4AA3=NaN","layer":3},{"info":"⋰*⋻-151A⋓NaN=NaN","layer":2},{"info":"⋰*⋻5595⊴NaN=NaN","layer":1},{"info":"⊥NaN=NaN","layer":0}]}
{"id":903,"expression_no_base_symbol":"(-(⨞⊢$1848$≭$1742$))⨸⪁(($3674$⫥∨⫟$3927$)≹⇙⪍(⨞⊢$2829$)⊘)","expression":"(-(⨞⊢⋰*⋻1430≭⋰*⋻1344))⨸⪁((⋰*⋻2840⫥∨⫟⋰*⋻2A50)≹⇙⪍(⨞⊢⋰*⋻2142)⊘)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":185,"operation_count":8,"complexity_ratio":23.125,"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":1848,"base":11},"right_expr":{"type":"numeric_atoms","value":1742,"base":11}}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3674,"base":11},"right_expr":{"type":"numeric_atoms","value":3927,"base":11}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2829,"base":11}}}}},"used_operators":["g55IO6H4Gj","t8gj7n24qd","xUOZtlo3hN","rxpJgHHUmx","gu96TGCTMs","AHs5Up7iyr","KYD54nUTWz"],"dependent_operators":["W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","dWAJyo7jo9","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1848","layer":4},{"info":"number node, value=1742","layer":4},{"info":"compute binary expreesion, left_input=1848, right_input=1742, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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 = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', 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=3674","layer":4},{"info":"number node, value=3927","layer":4},{"info":"compute binary expreesion, left_input=3674, right_input=3927, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=2829","layer":4},{"info":"compute unary expreesion, input=2829, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-3003","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3003, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = 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 = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(-(⨞⊢⋰*⋻1430≭⋰*⋻1344))⨸⪁((⋰*⋻2840⫥∨⫟⋰*⋻2A50)≹⇙⪍(⨞⊢⋰*⋻2142)⊘)=NaN","reverse_text":"NaN=(-(⨞⊢⋰*⋻1430≭⋰*⋻1344))⨸⪁((⋰*⋻2840⫥∨⫟⋰*⋻2A50)≹⇙⪍(⨞⊢⋰*⋻2142)⊘)","cot":[{"info":"⋰*⋻1430≭⋰*⋻1344=NaN","layer":3},{"info":"⨞⊢NaN=NaN","layer":2},{"info":"-NaN=NaN","layer":1},{"info":"⋰*⋻2840⫥∨⫟⋰*⋻2A50=NaN","layer":3},{"info":"⨞⊢⋰*⋻2142=⋰*⋻-2290","layer":3},{"info":"NaN≹⇙⪍⋰*⋻-2290=NaN","layer":2},{"info":"NaN⊘=NaN","layer":1},{"info":"NaN⨸⪁NaN=NaN","layer":0}]}
{"id":904,"expression_no_base_symbol":"(⫛⫱⨽($1493$⋥≓≎$1992$⩨($3653$≦≮≮)))⨎(⫛⫱⨽($1163$-$6637$))⪢($2417$≹⇙⪍$1009$⪨≂($2984$⪐))","expression":"(⫛⫱⨽(⋰*⋻1138⋥≓≎⋰*⋻1551⩨(⋰*⋻2821≦≮≮)))⨎(⫛⫱⨽(⋰*⋻968-⋰*⋻4A94))⪢(⋰*⋻18A8≹⇙⪍⋰*⋻838⪨≂(⋰*⋻2273⪐))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2373,"operation_count":11,"complexity_ratio":215.72727272727272,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1493,"base":11},"right_expr":{"type":"numeric_atoms","value":1992,"base":11}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":3653,"base":11}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1163,"base":11},"right_expr":{"type":"numeric_atoms","value":6637,"base":11}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2417,"base":11},"right_expr":{"type":"numeric_atoms","value":1009,"base":11}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":2984,"base":11}}}}},"used_operators":["rJVOvQCfKK","DlLNRPXxWL","2DlMacCsIx","Qy55tPpLXF","D4vGDi5EA2","dWAJyo7jo9","rysDP5nf3Z","sdazOOVcIp","AHs5Up7iyr","eH2TOUuTDT"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rGHVDoGpnC","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1493","layer":4},{"info":"number node, value=1992","layer":4},{"info":"compute binary expreesion, left_input=1493, right_input=1992, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2524","layer":3},{"info":"number node, value=3653","layer":4},{"info":"compute unary expreesion, input=3653, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-10959","layer":3},{"info":"compute binary expreesion, left_input=2524, right_input=-10959, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=15","layer":2},{"info":"compute unary expreesion, input=15, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"number node, value=1163","layer":4},{"info":"number node, value=6637","layer":4},{"info":"compute binary expreesion, left_input=1163, right_input=6637, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-5474","layer":3},{"info":"compute unary expreesion, input=-5474, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"number node, value=2417","layer":4},{"info":"number node, value=1009","layer":4},{"info":"compute binary expreesion, left_input=2417, right_input=1009, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=2984","layer":4},{"info":"compute unary expreesion, input=2984, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=5968","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5968, op_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 = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⫛⫱⨽(⋰*⋻1138⋥≓≎⋰*⋻1551⩨(⋰*⋻2821≦≮≮)))⨎(⫛⫱⨽(⋰*⋻968-⋰*⋻4A94))⪢(⋰*⋻18A8≹⇙⪍⋰*⋻838⪨≂(⋰*⋻2273⪐))=NaN","reverse_text":"NaN=(⫛⫱⨽(⋰*⋻1138⋥≓≎⋰*⋻1551⩨(⋰*⋻2821≦≮≮)))⨎(⫛⫱⨽(⋰*⋻968-⋰*⋻4A94))⪢(⋰*⋻18A8≹⇙⪍⋰*⋻838⪨≂(⋰*⋻2273⪐))","cot":[{"info":"⋰*⋻1138⋥≓≎⋰*⋻1551=⋰*⋻1995","layer":3},{"info":"⋰*⋻2821≦≮≮=⋰*⋻-8263","layer":3},{"info":"⋰*⋻1995⩨⋰*⋻-8263=⋰*⋻14","layer":2},{"info":"⫛⫱⨽⋰*⋻14=⋰*⋻0","layer":1},{"info":"⋰*⋻968-⋰*⋻4A94=⋰*⋻-4127","layer":3},{"info":"⫛⫱⨽⋰*⋻-4127=⋰*⋻0","layer":2},{"info":"⋰*⋻18A8≹⇙⪍⋰*⋻838=NaN","layer":3},{"info":"⋰*⋻2273⪐=⋰*⋻4536","layer":3},{"info":"NaN⪨≂⋰*⋻4536=NaN","layer":2},{"info":"⋰*⋻0⪢NaN=NaN","layer":1},{"info":"⋰*⋻0⨎NaN=NaN","layer":0}]}
{"id":905,"expression_no_base_symbol":"(($1333$⪘⫢$1566$⊉≛↸(∂$1269$))⪄(∂(⇁⨣⪵$1273$)))≫≃","expression":"((⋰*⋻1002⪘⫢⋰*⋻11A4⊉≛↸(∂⋰*⋻A54))⪄(∂(⇁⨣⪵⋰*⋻A58)))≫≃","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":121,"operation_count":7,"complexity_ratio":17.285714285714285,"tree":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1333,"base":11},"right_expr":{"type":"numeric_atoms","value":1566,"base":11}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1269,"base":11}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1273,"base":11}}}}},"used_operators":["X99M06cbEe","SUmda5xLS4","DZ8iAZOCBD","oacrs7FA3X","Uaa54Peajs","inkyxCbjAn"],"dependent_operators":["2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=1333","layer":4},{"info":"number node, value=1566","layer":4},{"info":"compute binary expreesion, left_input=1333, right_input=1566, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2542","layer":3},{"info":"number node, value=1269","layer":4},{"info":"compute unary expreesion, input=1269, 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=2542, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5084","layer":2},{"info":"number node, value=1273","layer":4},{"info":"compute unary expreesion, input=1273, 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=5084, 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 = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1002⪘⫢⋰*⋻11A4⊉≛↸(∂⋰*⋻A54))⪄(∂(⇁⨣⪵⋰*⋻A58)))≫≃=NaN","reverse_text":"NaN=((⋰*⋻1002⪘⫢⋰*⋻11A4⊉≛↸(∂⋰*⋻A54))⪄(∂(⇁⨣⪵⋰*⋻A58)))≫≃","cot":[{"info":"⋰*⋻1002⪘⫢⋰*⋻11A4=⋰*⋻1A01","layer":3},{"info":"∂⋰*⋻A54=NaN","layer":3},{"info":"⋰*⋻1A01⊉≛↸NaN=⋰*⋻3902","layer":2},{"info":"⇁⨣⪵⋰*⋻A58=NaN","layer":3},{"info":"∂NaN=NaN","layer":2},{"info":"⋰*⋻3902⪄NaN=NaN","layer":1},{"info":"NaN≫≃=NaN","layer":0}]}
{"id":906,"expression_no_base_symbol":"((($5427$⨳⩥⨓$1385$)≧⫂∧(⨈⫕$3469$))≦≮≮)⨽($6344$⪛$4572$⨓($1745$∑⇟⊟$1484$))⨟⋌⩍(($7242$⫡⨏$1778$)∑⇟⊟($2100$+$3135$))","expression":"(((⋰*⋻4094⨳⩥⨓⋰*⋻104A)≧⫂∧(⨈⫕⋰*⋻2674))≦≮≮)⨽(⋰*⋻4848⪛⋰*⋻3487⨓(⋰*⋻1347∑⇟⊟⋰*⋻112A))⨟⋌⩍((⋰*⋻5494⫡⨏⋰*⋻1377)∑⇟⊟(⋰*⋻163A+⋰*⋻23A0))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1906,"operation_count":12,"complexity_ratio":158.83333333333334,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5427,"base":11},"right_expr":{"type":"numeric_atoms","value":1385,"base":11}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":3469,"base":11}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":6344,"base":11},"right_expr":{"type":"numeric_atoms","value":4572,"base":11}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1745,"base":11},"right_expr":{"type":"numeric_atoms","value":1484,"base":11}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":7242,"base":11},"right_expr":{"type":"numeric_atoms","value":1778,"base":11}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2100,"base":11},"right_expr":{"type":"numeric_atoms","value":3135,"base":11}}}}},"used_operators":["8HhzD0ZcuI","D4vGDi5EA2","Ph9nP6C5qx","nCS4ZIUYfx","megm06wKyl","rGHVDoGpnC","3ViojmjbAp","uFcxV4UQCh","U7g4x0WXJJ","QMFrweE19q","W4YGzv6Whe"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","Tcnh7f0tEr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5427","layer":4},{"info":"number node, value=1385","layer":4},{"info":"compute binary expreesion, left_input=5427, right_input=1385, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-4042","layer":3},{"info":"number node, value=3469","layer":4},{"info":"compute unary expreesion, input=3469, 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=-4042, right_input=-21, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-494","layer":2},{"info":"compute unary expreesion, input=-494, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=1482","layer":1},{"info":"number node, value=6344","layer":4},{"info":"number node, value=4572","layer":4},{"info":"compute binary expreesion, left_input=6344, right_input=4572, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1772","layer":3},{"info":"number node, value=1745","layer":4},{"info":"number node, value=1484","layer":4},{"info":"compute binary expreesion, left_input=1745, right_input=1484, 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=1772, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"number node, value=7242","layer":4},{"info":"number node, value=1778","layer":4},{"info":"compute binary expreesion, left_input=7242, right_input=1778, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=40549","layer":3},{"info":"number node, value=2100","layer":4},{"info":"number node, value=3135","layer":4},{"info":"compute binary expreesion, left_input=2100, right_input=3135, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5235","layer":3},{"info":"compute binary expreesion, left_input=40549, right_input=5235, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1482, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻4094⨳⩥⨓⋰*⋻104A)≧⫂∧(⨈⫕⋰*⋻2674))≦≮≮)⨽(⋰*⋻4848⪛⋰*⋻3487⨓(⋰*⋻1347∑⇟⊟⋰*⋻112A))⨟⋌⩍((⋰*⋻5494⫡⨏⋰*⋻1377)∑⇟⊟(⋰*⋻163A+⋰*⋻23A0))=NaN","reverse_text":"NaN=(((⋰*⋻4094⨳⩥⨓⋰*⋻104A)≧⫂∧(⨈⫕⋰*⋻2674))≦≮≮)⨽(⋰*⋻4848⪛⋰*⋻3487⨓(⋰*⋻1347∑⇟⊟⋰*⋻112A))⨟⋌⩍((⋰*⋻5494⫡⨏⋰*⋻1377)∑⇟⊟(⋰*⋻163A+⋰*⋻23A0))","cot":[{"info":"⋰*⋻4094⨳⩥⨓⋰*⋻104A=⋰*⋻-3045","layer":3},{"info":"⨈⫕⋰*⋻2674=⋰*⋻-1A","layer":3},{"info":"⋰*⋻-3045≧⫂∧⋰*⋻-1A=⋰*⋻-40A","layer":2},{"info":"⋰*⋻-40A≦≮≮=⋰*⋻1128","layer":1},{"info":"⋰*⋻4848⪛⋰*⋻3487=⋰*⋻1371","layer":3},{"info":"⋰*⋻1347∑⇟⊟⋰*⋻112A=NaN","layer":3},{"info":"⋰*⋻1371⨓NaN=NaN","layer":2},{"info":"⋰*⋻5494⫡⨏⋰*⋻1377=⋰*⋻28513","layer":3},{"info":"⋰*⋻163A+⋰*⋻23A0=⋰*⋻3A2A","layer":3},{"info":"⋰*⋻28513∑⇟⊟⋰*⋻3A2A=NaN","layer":2},{"info":"NaN⨟⋌⩍NaN=NaN","layer":1},{"info":"⋰*⋻1128⨽NaN=NaN","layer":0}]}
{"id":907,"expression_no_base_symbol":"(($2535$⋥≓≎$3415$)⫩⊇)∀⇚≩(($2794$⪄$2724$)⨎($4359$↙$2797$))≦≮≮","expression":"((⋰*⋻19A5⋥≓≎⋰*⋻2625)⫩⊇)∀⇚≩((⋰*⋻2110⪄⋰*⋻2057)⨎(⋰*⋻3303↙⋰*⋻2113))≦≮≮","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":32907,"operation_count":7,"complexity_ratio":4701.0,"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":2535,"base":11},"right_expr":{"type":"numeric_atoms","value":3415,"base":11}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2794,"base":11},"right_expr":{"type":"numeric_atoms","value":2724,"base":11}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4359,"base":11},"right_expr":{"type":"numeric_atoms","value":2797,"base":11}}}}},"used_operators":["D4vGDi5EA2","LRNGc0VcxI","BjRHVeLaeN","Qy55tPpLXF","rJVOvQCfKK","SUmda5xLS4","yyfyN0ffXY"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2535","layer":4},{"info":"number node, value=3415","layer":4},{"info":"compute binary expreesion, left_input=2535, right_input=3415, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=4328","layer":3},{"info":"compute unary expreesion, input=4328, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-4286","layer":2},{"info":"number node, value=2794","layer":4},{"info":"number node, value=2724","layer":4},{"info":"compute binary expreesion, left_input=2794, right_input=2724, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-420497","layer":3},{"info":"number node, value=4359","layer":4},{"info":"number node, value=2797","layer":4},{"info":"compute binary expreesion, left_input=4359, right_input=2797, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-8391","layer":3},{"info":"compute binary expreesion, left_input=-420497, right_input=-8391, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-8391","layer":2},{"info":"compute binary expreesion, left_input=-4286, right_input=-8391, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻19A5⋥≓≎⋰*⋻2625)⫩⊇)∀⇚≩((⋰*⋻2110⪄⋰*⋻2057)⨎(⋰*⋻3303↙⋰*⋻2113))≦≮≮=NaN","reverse_text":"NaN=((⋰*⋻19A5⋥≓≎⋰*⋻2625)⫩⊇)∀⇚≩((⋰*⋻2110⪄⋰*⋻2057)⨎(⋰*⋻3303↙⋰*⋻2113))≦≮≮","cot":[{"info":"⋰*⋻19A5⋥≓≎⋰*⋻2625=⋰*⋻3285","layer":3},{"info":"⋰*⋻3285⫩⊇=⋰*⋻-3247","layer":2},{"info":"⋰*⋻2110⪄⋰*⋻2057=⋰*⋻-267A20","layer":3},{"info":"⋰*⋻3303↙⋰*⋻2113=⋰*⋻-6339","layer":3},{"info":"⋰*⋻-267A20⨎⋰*⋻-6339=⋰*⋻-6339","layer":2},{"info":"⋰*⋻-3247∀⇚≩⋰*⋻-6339=NaN","layer":1},{"info":"NaN≦≮≮=NaN","layer":0}]}
{"id":908,"expression_no_base_symbol":"(((⫓⪴$1279$)/($3094$⨵⪆$3584$))⩨(∥⊫($1207$*$2316$)))⋝⋈⪟($2262$⨎$5292$⨐⩸⫘($6268$⨵⪆$2846$))≹⇙⪍(⪝⪂⫅($6016$↙$3358$))","expression":"(((⫓⪴⋰*⋻A63)/(⋰*⋻2363⨵⪆⋰*⋻2769))⩨(∥⊫(⋰*⋻9A8*⋰*⋻1816)))⋝⋈⪟(⋰*⋻1777⨎⋰*⋻3A81⨐⩸⫘(⋰*⋻4789⨵⪆⋰*⋻2158))≹⇙⪍(⪝⪂⫅(⋰*⋻457A↙⋰*⋻2583))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":43068,"operation_count":13,"complexity_ratio":3312.923076923077,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1279,"base":11}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3094,"base":11},"right_expr":{"type":"numeric_atoms","value":3584,"base":11}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1207,"base":11},"right_expr":{"type":"numeric_atoms","value":2316,"base":11}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2262,"base":11},"right_expr":{"type":"numeric_atoms","value":5292,"base":11}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":6268,"base":11},"right_expr":{"type":"numeric_atoms","value":2846,"base":11}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":6016,"base":11},"right_expr":{"type":"numeric_atoms","value":3358,"base":11}}}}},"used_operators":["2DDjHMKMc0","2DlMacCsIx","XhwjNDsVaA","eLxqMNBOBk","2DQ55sFlQl","P8v4zCKN1o","9HNa5Wba9A","AHs5Up7iyr","fu6greOZ01","rJVOvQCfKK","XTarYq4gQB","yyfyN0ffXY"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","3ViojmjbAp","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9HNa5Wba9A","8w2t5hMYqp","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1279","layer":4},{"info":"compute unary expreesion, input=1279, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1635841","layer":3},{"info":"number node, value=3094","layer":4},{"info":"number node, value=3584","layer":4},{"info":"compute binary expreesion, left_input=3094, right_input=3584, 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=1635841, right_input=160, op_id = XhwjNDsVaA binary_op_definition= 'None', output=10224","layer":2},{"info":"number node, value=1207","layer":4},{"info":"number node, value=2316","layer":4},{"info":"compute binary expreesion, left_input=1207, right_input=2316, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2795412","layer":3},{"info":"compute unary expreesion, input=2795412, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2796280","layer":2},{"info":"compute binary expreesion, left_input=10224, right_input=2796280, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-819","layer":1},{"info":"number node, value=2262","layer":4},{"info":"number node, value=5292","layer":4},{"info":"compute binary expreesion, left_input=2262, right_input=5292, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5292","layer":3},{"info":"number node, value=6268","layer":4},{"info":"number node, value=2846","layer":4},{"info":"compute binary expreesion, left_input=6268, right_input=2846, 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=5292, right_input=160, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-163","layer":2},{"info":"number node, value=6016","layer":4},{"info":"number node, value=3358","layer":4},{"info":"compute binary expreesion, left_input=6016, right_input=3358, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-10074","layer":3},{"info":"compute unary expreesion, input=-10074, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=1480878","layer":2},{"info":"compute binary expreesion, left_input=-163, right_input=1480878, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=-819, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((⫓⪴⋰*⋻A63)/(⋰*⋻2363⨵⪆⋰*⋻2769))⩨(∥⊫(⋰*⋻9A8*⋰*⋻1816)))⋝⋈⪟(⋰*⋻1777⨎⋰*⋻3A81⨐⩸⫘(⋰*⋻4789⨵⪆⋰*⋻2158))≹⇙⪍(⪝⪂⫅(⋰*⋻457A↙⋰*⋻2583))=NaN","reverse_text":"NaN=(((⫓⪴⋰*⋻A63)/(⋰*⋻2363⨵⪆⋰*⋻2769))⩨(∥⊫(⋰*⋻9A8*⋰*⋻1816)))⋝⋈⪟(⋰*⋻1777⨎⋰*⋻3A81⨐⩸⫘(⋰*⋻4789⨵⪆⋰*⋻2158))≹⇙⪍(⪝⪂⫅(⋰*⋻457A↙⋰*⋻2583))","cot":[{"info":"⫓⪴⋰*⋻A63=⋰*⋻A18039","layer":3},{"info":"⋰*⋻2363⨵⪆⋰*⋻2769=⋰*⋻136","layer":3},{"info":"⋰*⋻A18039/⋰*⋻136=⋰*⋻7755","layer":2},{"info":"⋰*⋻9A8*⋰*⋻1816=⋰*⋻163A264","layer":3},{"info":"∥⊫⋰*⋻163A264=⋰*⋻163A983","layer":2},{"info":"⋰*⋻7755⩨⋰*⋻163A983=⋰*⋻-685","layer":1},{"info":"⋰*⋻1777⨎⋰*⋻3A81=⋰*⋻3A81","layer":3},{"info":"⋰*⋻4789⨵⪆⋰*⋻2158=⋰*⋻136","layer":3},{"info":"⋰*⋻3A81⨐⩸⫘⋰*⋻136=⋰*⋻-139","layer":2},{"info":"⋰*⋻457A↙⋰*⋻2583=⋰*⋻-7629","layer":3},{"info":"⪝⪂⫅⋰*⋻-7629=⋰*⋻921673","layer":2},{"info":"⋰*⋻-139≹⇙⪍⋰*⋻921673=NaN","layer":1},{"info":"⋰*⋻-685⋝⋈⪟NaN=NaN","layer":0}]}
{"id":909,"expression_no_base_symbol":"(($1222$⫥∨⫟$1466$)≭(⪝⪂⫅$3283$))⋝⋈⪟($2885$⋥≓≎$2338$)∑⇟⊟(↔$1158$)↙($3770$*$1302$)⋳⪒(⪲⇎$6657$)⋳⪒($1337$⨽$1329$⫡⨏$1917$⇷$5701$)","expression":"((⋰*⋻A11⫥∨⫟⋰*⋻1113)≭(⪝⪂⫅⋰*⋻2515))⋝⋈⪟(⋰*⋻2193⋥≓≎⋰*⋻1836)∑⇟⊟(↔⋰*⋻963)↙(⋰*⋻2918*⋰*⋻A84)⋳⪒(⪲⇎⋰*⋻5002)⋳⪒(⋰*⋻1006⨽⋰*⋻AA9⫡⨏⋰*⋻1493⇷⋰*⋻4313)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":813161,"operation_count":15,"complexity_ratio":54210.73333333333,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1222,"base":11},"right_expr":{"type":"numeric_atoms","value":1466,"base":11}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":3283,"base":11}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2885,"base":11},"right_expr":{"type":"numeric_atoms","value":2338,"base":11}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1158,"base":11}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3770,"base":11},"right_expr":{"type":"numeric_atoms","value":1302,"base":11}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":6657,"base":11}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1337,"base":11},"right_expr":{"type":"numeric_atoms","value":1329,"base":11}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1917,"base":11},"right_expr":{"type":"numeric_atoms","value":5701,"base":11}}}}},"used_operators":["yyfyN0ffXY","2DDjHMKMc0","rxpJgHHUmx","KYD54nUTWz","XTarYq4gQB","U7g4x0WXJJ","Qy55tPpLXF","ruOEQAzv1W","12rbrZMWeM","9HNa5Wba9A","XPYlsWDdGa","QMFrweE19q","8HhzD0ZcuI","mp7IySMOzn"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC","9HNa5Wba9A","8w2t5hMYqp","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1222","layer":4},{"info":"number node, value=1466","layer":4},{"info":"compute binary expreesion, left_input=1222, right_input=1466, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=3283","layer":4},{"info":"compute unary expreesion, input=3283, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-482601","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-482601, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=2885","layer":4},{"info":"number node, value=2338","layer":4},{"info":"compute binary expreesion, left_input=2885, right_input=2338, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1824","layer":3},{"info":"number node, value=1158","layer":4},{"info":"compute unary expreesion, input=1158, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-885","layer":3},{"info":"compute binary expreesion, left_input=1824, right_input=-885, 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 = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=3770","layer":4},{"info":"number node, value=1302","layer":4},{"info":"compute binary expreesion, left_input=3770, right_input=1302, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4908540","layer":3},{"info":"number node, value=6657","layer":4},{"info":"compute unary expreesion, input=6657, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=13314","layer":3},{"info":"compute binary expreesion, left_input=4908540, right_input=13314, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=9803479","layer":2},{"info":"number node, value=1337","layer":4},{"info":"number node, value=1329","layer":4},{"info":"compute binary expreesion, left_input=1337, right_input=1329, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-5365380","layer":3},{"info":"number node, value=1917","layer":4},{"info":"number node, value=5701","layer":4},{"info":"compute binary expreesion, left_input=1917, right_input=5701, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=11402","layer":3},{"info":"compute binary expreesion, left_input=-5365380, right_input=11402, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-26803313","layer":2},{"info":"compute binary expreesion, left_input=9803479, right_input=-26803313, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=46409984","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=46409984, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻A11⫥∨⫟⋰*⋻1113)≭(⪝⪂⫅⋰*⋻2515))⋝⋈⪟(⋰*⋻2193⋥≓≎⋰*⋻1836)∑⇟⊟(↔⋰*⋻963)↙(⋰*⋻2918*⋰*⋻A84)⋳⪒(⪲⇎⋰*⋻5002)⋳⪒(⋰*⋻1006⨽⋰*⋻AA9⫡⨏⋰*⋻1493⇷⋰*⋻4313)=NaN","reverse_text":"NaN=((⋰*⋻A11⫥∨⫟⋰*⋻1113)≭(⪝⪂⫅⋰*⋻2515))⋝⋈⪟(⋰*⋻2193⋥≓≎⋰*⋻1836)∑⇟⊟(↔⋰*⋻963)↙(⋰*⋻2918*⋰*⋻A84)⋳⪒(⪲⇎⋰*⋻5002)⋳⪒(⋰*⋻1006⨽⋰*⋻AA9⫡⨏⋰*⋻1493⇷⋰*⋻4313)","cot":[{"info":"⋰*⋻A11⫥∨⫟⋰*⋻1113=NaN","layer":3},{"info":"⪝⪂⫅⋰*⋻2515=⋰*⋻-2AA649","layer":3},{"info":"NaN≭⋰*⋻-2AA649=NaN","layer":2},{"info":"⋰*⋻2193⋥≓≎⋰*⋻1836=⋰*⋻1409","layer":3},{"info":"↔⋰*⋻963=⋰*⋻-735","layer":3},{"info":"⋰*⋻1409∑⇟⊟⋰*⋻-735=NaN","layer":2},{"info":"NaN⋝⋈⪟NaN=NaN","layer":1},{"info":"⋰*⋻2918*⋰*⋻A84=⋰*⋻285294A","layer":3},{"info":"⪲⇎⋰*⋻5002=⋰*⋻A004","layer":3},{"info":"⋰*⋻285294A⋳⪒⋰*⋻A004=⋰*⋻5596554","layer":2},{"info":"⋰*⋻1006⨽⋰*⋻AA9=⋰*⋻-30350A9","layer":3},{"info":"⋰*⋻1493⇷⋰*⋻4313=⋰*⋻8626","layer":3},{"info":"⋰*⋻-30350A9⫡⨏⋰*⋻8626=⋰*⋻-141477A9","layer":2},{"info":"⋰*⋻5596554⋳⪒⋰*⋻-141477A9=⋰*⋻24219565","layer":1},{"info":"NaN↙⋰*⋻24219565=NaN","layer":0}]}
{"id":910,"expression_no_base_symbol":"((⊥($1452$⋳⪒$3537$))⋷($1896$⋥≓≎$4526$)⪢($1997$⩨$1222$))≭((⩦⩻⨪$6523$)⩤)≧⫂∧(($2232$⩤)≦≮≮)","expression":"((⊥(⋰*⋻1100⋳⪒⋰*⋻2726))⋷(⋰*⋻1474⋥≓≎⋰*⋻3445)⪢(⋰*⋻1556⩨⋰*⋻A11))≭((⩦⩻⨪⋰*⋻49A0)⩤)≧⫂∧((⋰*⋻174A⩤)≦≮≮)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":851948,"operation_count":12,"complexity_ratio":70995.66666666667,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1452,"base":11},"right_expr":{"type":"numeric_atoms","value":3537,"base":11}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1896,"base":11},"right_expr":{"type":"numeric_atoms","value":4526,"base":11}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1997,"base":11},"right_expr":{"type":"numeric_atoms","value":1222,"base":11}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":6523,"base":11}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":2232,"base":11}}}}},"used_operators":["rxpJgHHUmx","23Mk6UjR3U","Q3PJZHRvZv","12rbrZMWeM","dWAJyo7jo9","Qy55tPpLXF","2DlMacCsIx","Ph9nP6C5qx","Z2TMIBDE3Q","2td37pGCOC","D4vGDi5EA2"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1452","layer":4},{"info":"number node, value=3537","layer":4},{"info":"compute binary expreesion, left_input=1452, right_input=3537, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-920","layer":3},{"info":"compute unary expreesion, input=-920, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=-917","layer":2},{"info":"number node, value=1896","layer":4},{"info":"number node, value=4526","layer":4},{"info":"compute binary expreesion, left_input=1896, right_input=4526, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=7189","layer":3},{"info":"number node, value=1997","layer":4},{"info":"number node, value=1222","layer":4},{"info":"compute binary expreesion, left_input=1997, right_input=1222, 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=7189, right_input=0, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=0","layer":2},{"info":"compute binary expreesion, left_input=-917, right_input=0, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1834","layer":1},{"info":"number node, value=6523","layer":4},{"info":"compute unary expreesion, input=6523, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=6523","layer":3},{"info":"compute unary expreesion, input=6523, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-6523","layer":2},{"info":"number node, value=2232","layer":4},{"info":"compute unary expreesion, input=2232, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2232","layer":3},{"info":"compute unary expreesion, input=-2232, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=6696","layer":2},{"info":"compute binary expreesion, left_input=-6523, right_input=6696, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=6223","layer":1},{"info":"compute binary expreesion, left_input=1834, right_input=6223, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⊥(⋰*⋻1100⋳⪒⋰*⋻2726))⋷(⋰*⋻1474⋥≓≎⋰*⋻3445)⪢(⋰*⋻1556⩨⋰*⋻A11))≭((⩦⩻⨪⋰*⋻49A0)⩤)≧⫂∧((⋰*⋻174A⩤)≦≮≮)=NaN","reverse_text":"NaN=((⊥(⋰*⋻1100⋳⪒⋰*⋻2726))⋷(⋰*⋻1474⋥≓≎⋰*⋻3445)⪢(⋰*⋻1556⩨⋰*⋻A11))≭((⩦⩻⨪⋰*⋻49A0)⩤)≧⫂∧((⋰*⋻174A⩤)≦≮≮)","cot":[{"info":"⋰*⋻1100⋳⪒⋰*⋻2726=⋰*⋻-767","layer":3},{"info":"⊥⋰*⋻-767=⋰*⋻-764","layer":2},{"info":"⋰*⋻1474⋥≓≎⋰*⋻3445=⋰*⋻5446","layer":3},{"info":"⋰*⋻1556⩨⋰*⋻A11=⋰*⋻0","layer":3},{"info":"⋰*⋻5446⪢⋰*⋻0=⋰*⋻0","layer":2},{"info":"⋰*⋻-764⋷⋰*⋻0=⋰*⋻1418","layer":1},{"info":"⩦⩻⨪⋰*⋻49A0=⋰*⋻49A0","layer":3},{"info":"⋰*⋻49A0⩤=⋰*⋻-49A0","layer":2},{"info":"⋰*⋻174A⩤=⋰*⋻-174A","layer":3},{"info":"⋰*⋻-174A≦≮≮=⋰*⋻5038","layer":2},{"info":"⋰*⋻-49A0≧⫂∧⋰*⋻5038=⋰*⋻4748","layer":1},{"info":"⋰*⋻1418≭⋰*⋻4748=NaN","layer":0}]}
{"id":911,"expression_no_base_symbol":"$9361$⇷$4703$⩚⊴⇥$3191$⪛$1643$⨎($6867$⫌⩹⨱)≧⫂∧($2345$/$2112$)⪠⩆⊳","expression":"⋰*⋻7040⇷⋰*⋻3596⩚⊴⇥⋰*⋻2441⪛⋰*⋻1264⨎(⋰*⋻5183⫌⩹⨱)≧⫂∧(⋰*⋻1842/⋰*⋻1650)⪠⩆⊳","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":131083,"operation_count":8,"complexity_ratio":16385.375,"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":9361,"base":11},"right_expr":{"type":"numeric_atoms","value":4703,"base":11}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3191,"base":11},"right_expr":{"type":"numeric_atoms","value":1643,"base":11}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":6867,"base":11}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2345,"base":11},"right_expr":{"type":"numeric_atoms","value":2112,"base":11}}}}},"used_operators":["JLbD19bQDL","rJVOvQCfKK","NTOWxs364D","mp7IySMOzn","uFcxV4UQCh","Ph9nP6C5qx","EBcxylXtPf","XhwjNDsVaA"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=9361","layer":4},{"info":"number node, value=4703","layer":4},{"info":"compute binary expreesion, left_input=9361, right_input=4703, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=9406","layer":3},{"info":"number node, value=3191","layer":4},{"info":"number node, value=1643","layer":4},{"info":"compute binary expreesion, left_input=3191, right_input=1643, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1548","layer":3},{"info":"compute binary expreesion, left_input=9406, right_input=1548, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-11075","layer":2},{"info":"number node, value=6867","layer":4},{"info":"compute unary expreesion, input=6867, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=15135","layer":3},{"info":"number node, value=2345","layer":4},{"info":"number node, value=2112","layer":4},{"info":"compute binary expreesion, left_input=2345, right_input=2112, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=15135, right_input=1, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-472","layer":2},{"info":"compute binary expreesion, left_input=-11075, right_input=-472, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-472","layer":1},{"info":"compute unary expreesion, input=-472, 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":11,"result_base":11,"text":"⋰*⋻7040⇷⋰*⋻3596⩚⊴⇥⋰*⋻2441⪛⋰*⋻1264⨎(⋰*⋻5183⫌⩹⨱)≧⫂∧(⋰*⋻1842/⋰*⋻1650)⪠⩆⊳=⋰*⋻0","reverse_text":"⋰*⋻0=⋰*⋻7040⇷⋰*⋻3596⩚⊴⇥⋰*⋻2441⪛⋰*⋻1264⨎(⋰*⋻5183⫌⩹⨱)≧⫂∧(⋰*⋻1842/⋰*⋻1650)⪠⩆⊳","cot":[{"info":"⋰*⋻7040⇷⋰*⋻3596=⋰*⋻7081","layer":3},{"info":"⋰*⋻2441⪛⋰*⋻1264=⋰*⋻1188","layer":3},{"info":"⋰*⋻7081⩚⊴⇥⋰*⋻1188=⋰*⋻-8359","layer":2},{"info":"⋰*⋻5183⫌⩹⨱=⋰*⋻1040A","layer":3},{"info":"⋰*⋻1842/⋰*⋻1650=⋰*⋻1","layer":3},{"info":"⋰*⋻1040A≧⫂∧⋰*⋻1=⋰*⋻-39A","layer":2},{"info":"⋰*⋻-8359⨎⋰*⋻-39A=⋰*⋻-39A","layer":1},{"info":"⋰*⋻-39A⪠⩆⊳=⋰*⋻0","layer":0}]}
{"id":912,"expression_no_base_symbol":"(($1634$⨳⩥⨓$2402$)⪘⫢($2115$⨵⪆$3163$))⪢(⨑⩽⪐($2845$↛⩡⫤))⇷(($1355$⪘⫢$1523$)⪮%⊝($5187$∼$9539$)+⇶⊼((↯⪼$2168$)⨵⪆$2861$+⇶⊼$1034$))","expression":"((⋰*⋻1256⨳⩥⨓⋰*⋻1894)⪘⫢(⋰*⋻1653⨵⪆⋰*⋻2416))⪢(⨑⩽⪐(⋰*⋻2157↛⩡⫤))⇷((⋰*⋻1022⪘⫢⋰*⋻1165)⪮%⊝(⋰*⋻3996∼⋰*⋻7192)+⇶⊼((↯⪼⋰*⋻16A1)⨵⪆⋰*⋻2171+⇶⊼⋰*⋻860))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":861014,"operation_count":14,"complexity_ratio":61501.0,"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":1634,"base":11},"right_expr":{"type":"numeric_atoms","value":2402,"base":11}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2115,"base":11},"right_expr":{"type":"numeric_atoms","value":3163,"base":11}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":2845,"base":11}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1355,"base":11},"right_expr":{"type":"numeric_atoms","value":1523,"base":11}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5187,"base":11},"right_expr":{"type":"numeric_atoms","value":9539,"base":11}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2168,"base":11}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2861,"base":11},"right_expr":{"type":"numeric_atoms","value":1034,"base":11}}}}},"used_operators":["mp7IySMOzn","dWAJyo7jo9","oacrs7FA3X","nCS4ZIUYfx","2DQ55sFlQl","AF7qkfDlqP","FU0Cs4j7VP","TpPTUOHfaN","IWmyXbctLI","DyGG3AbaNP","8jW3W4yZS5"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","AHs5Up7iyr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1634","layer":4},{"info":"number node, value=2402","layer":4},{"info":"compute binary expreesion, left_input=1634, right_input=2402, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=768","layer":3},{"info":"number node, value=2115","layer":4},{"info":"number node, value=3163","layer":4},{"info":"compute binary expreesion, left_input=2115, right_input=3163, 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=768, 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":2},{"info":"number node, value=2845","layer":4},{"info":"compute unary expreesion, input=2845, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-425684","layer":3},{"info":"compute unary expreesion, input=-425684, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=852157","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=852157, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1355","layer":4},{"info":"number node, value=1523","layer":4},{"info":"compute binary expreesion, left_input=1355, right_input=1523, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2586","layer":3},{"info":"number node, value=5187","layer":4},{"info":"number node, value=9539","layer":4},{"info":"compute binary expreesion, left_input=5187, right_input=9539, 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=2586, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"number node, value=2168","layer":4},{"info":"compute unary expreesion, input=2168, 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=2861","layer":4},{"info":"number node, value=1034","layer":4},{"info":"compute binary expreesion, left_input=2861, right_input=1034, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-21, 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=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":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":11,"result_base":11,"text":"((⋰*⋻1256⨳⩥⨓⋰*⋻1894)⪘⫢(⋰*⋻1653⨵⪆⋰*⋻2416))⪢(⨑⩽⪐(⋰*⋻2157↛⩡⫤))⇷((⋰*⋻1022⪘⫢⋰*⋻1165)⪮%⊝(⋰*⋻3996∼⋰*⋻7192)+⇶⊼((↯⪼⋰*⋻16A1)⨵⪆⋰*⋻2171+⇶⊼⋰*⋻860))=NaN","reverse_text":"NaN=((⋰*⋻1256⨳⩥⨓⋰*⋻1894)⪘⫢(⋰*⋻1653⨵⪆⋰*⋻2416))⪢(⨑⩽⪐(⋰*⋻2157↛⩡⫤))⇷((⋰*⋻1022⪘⫢⋰*⋻1165)⪮%⊝(⋰*⋻3996∼⋰*⋻7192)+⇶⊼((↯⪼⋰*⋻16A1)⨵⪆⋰*⋻2171+⇶⊼⋰*⋻860))","cot":[{"info":"⋰*⋻1256⨳⩥⨓⋰*⋻1894=⋰*⋻639","layer":3},{"info":"⋰*⋻1653⨵⪆⋰*⋻2416=⋰*⋻136","layer":3},{"info":"⋰*⋻639⪘⫢⋰*⋻136=⋰*⋻0","layer":2},{"info":"⋰*⋻2157↛⩡⫤=⋰*⋻-270906","layer":3},{"info":"⨑⩽⪐⋰*⋻-270906=⋰*⋻532269","layer":2},{"info":"⋰*⋻0⪢⋰*⋻532269=NaN","layer":1},{"info":"⋰*⋻1022⪘⫢⋰*⋻1165=⋰*⋻1A41","layer":3},{"info":"⋰*⋻3996∼⋰*⋻7192=NaN","layer":3},{"info":"⋰*⋻1A41⪮%⊝NaN=NaN","layer":2},{"info":"↯⪼⋰*⋻16A1=⋰*⋻-1A","layer":3},{"info":"⋰*⋻2171+⇶⊼⋰*⋻860=NaN","layer":3},{"info":"⋰*⋻-1A⨵⪆NaN=⋰*⋻136","layer":2},{"info":"NaN+⇶⊼⋰*⋻136=NaN","layer":1},{"info":"NaN⇷NaN=NaN","layer":0}]}
{"id":913,"expression_no_base_symbol":"⊄⩳↩(($1168$↛⩡⫤)⪘⫢($7104$≭$1208$)+(↩$2448$↙$1270$))","expression":"⊄⩳↩((⋰*⋻972↛⩡⫤)⪘⫢(⋰*⋻5379≭⋰*⋻9A9)+(↩⋰*⋻1926↙⋰*⋻A55))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4945,"operation_count":7,"complexity_ratio":706.4285714285714,"tree":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1168,"base":11}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":7104,"base":11},"right_expr":{"type":"numeric_atoms","value":1208,"base":11}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2448,"base":11},"right_expr":{"type":"numeric_atoms","value":1270,"base":11}}}}},"used_operators":["8w2t5hMYqp","W4YGzv6Whe","oacrs7FA3X","FU0Cs4j7VP","rxpJgHHUmx","jLgFTUHLKL","yyfyN0ffXY"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","AHs5Up7iyr","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1168","layer":4},{"info":"compute unary expreesion, input=1168, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-172457","layer":3},{"info":"number node, value=7104","layer":4},{"info":"number node, value=1208","layer":4},{"info":"compute binary expreesion, left_input=7104, right_input=1208, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=-172457, 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=2448","layer":4},{"info":"number node, value=1270","layer":4},{"info":"compute binary expreesion, left_input=2448, right_input=1270, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3810","layer":3},{"info":"compute unary expreesion, input=-3810, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=17860","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=17860, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⊄⩳↩((⋰*⋻972↛⩡⫤)⪘⫢(⋰*⋻5379≭⋰*⋻9A9)+(↩⋰*⋻1926↙⋰*⋻A55))=NaN","reverse_text":"NaN=⊄⩳↩((⋰*⋻972↛⩡⫤)⪘⫢(⋰*⋻5379≭⋰*⋻9A9)+(↩⋰*⋻1926↙⋰*⋻A55))","cot":[{"info":"⋰*⋻972↛⩡⫤=⋰*⋻-10862A","layer":3},{"info":"⋰*⋻5379≭⋰*⋻9A9=NaN","layer":3},{"info":"⋰*⋻-10862A⪘⫢NaN=NaN","layer":2},{"info":"⋰*⋻1926↙⋰*⋻A55=⋰*⋻-2954","layer":3},{"info":"↩⋰*⋻-2954=⋰*⋻12467","layer":2},{"info":"NaN+⋰*⋻12467=NaN","layer":1},{"info":"⊄⩳↩NaN=NaN","layer":0}]}
{"id":914,"expression_no_base_symbol":"(((⨰⫟⨤$1449$)⊠≄⫣)⊉≛↸($2184$↺$6970$⩨$4677$↬$3452$))⋳⪒(($1393$⨪↰⇹$2970$)∀⇚≩($2404$⨰$1573$)⋳⪒($1141$⩷∴$4315$⨎($1748$⨐⩸⫘$1193$)))","expression":"(((⨰⫟⨤⋰*⋻10A8)⊠≄⫣)⊉≛↸(⋰*⋻1706↺⋰*⋻5267⩨⋰*⋻3572↬⋰*⋻2659))⋳⪒((⋰*⋻1057⨪↰⇹⋰*⋻2260)∀⇚≩(⋰*⋻1896⨰⋰*⋻1200)⋳⪒(⋰*⋻948⩷∴⋰*⋻3273⨎(⋰*⋻134A⨐⩸⫘⋰*⋻995)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":16140,"operation_count":14,"complexity_ratio":1152.857142857143,"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":1449,"base":11}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2184,"base":11},"right_expr":{"type":"numeric_atoms","value":6970,"base":11}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4677,"base":11},"right_expr":{"type":"numeric_atoms","value":3452,"base":11}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1393,"base":11},"right_expr":{"type":"numeric_atoms","value":2970,"base":11}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2404,"base":11},"right_expr":{"type":"numeric_atoms","value":1573,"base":11}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1141,"base":11},"right_expr":{"type":"numeric_atoms","value":4315,"base":11}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1748,"base":11},"right_expr":{"type":"numeric_atoms","value":1193,"base":11}}}}},"used_operators":["12rbrZMWeM","DZ8iAZOCBD","DIvbN7qnHd","Tw270M8GLb","2DlMacCsIx","7j4O788W3g","B5M0gjZbta","LRNGc0VcxI","tmPS8pqC7x","eewbuw0ToL","rJVOvQCfKK","9FxExcQeMw","fu6greOZ01"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","X99M06cbEe","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1449","layer":4},{"info":"compute unary expreesion, input=1449, 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 = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=nan","layer":2},{"info":"number node, value=2184","layer":4},{"info":"number node, value=6970","layer":4},{"info":"compute binary expreesion, left_input=2184, right_input=6970, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=6970","layer":3},{"info":"number node, value=4677","layer":4},{"info":"number node, value=3452","layer":4},{"info":"compute binary expreesion, left_input=4677, right_input=3452, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=6970, 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=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=1393","layer":4},{"info":"number node, value=2970","layer":4},{"info":"compute binary expreesion, left_input=1393, right_input=2970, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1393","layer":3},{"info":"number node, value=2404","layer":4},{"info":"number node, value=1573","layer":4},{"info":"compute binary expreesion, left_input=2404, right_input=1573, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=841","layer":3},{"info":"compute binary expreesion, left_input=1393, right_input=841, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1141","layer":4},{"info":"number node, value=4315","layer":4},{"info":"compute binary expreesion, left_input=1141, right_input=4315, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-6380","layer":3},{"info":"number node, value=1748","layer":4},{"info":"number node, value=1193","layer":4},{"info":"compute binary expreesion, left_input=1748, 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 binary expreesion, left_input=-6380, 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 = 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 = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((⨰⫟⨤⋰*⋻10A8)⊠≄⫣)⊉≛↸(⋰*⋻1706↺⋰*⋻5267⩨⋰*⋻3572↬⋰*⋻2659))⋳⪒((⋰*⋻1057⨪↰⇹⋰*⋻2260)∀⇚≩(⋰*⋻1896⨰⋰*⋻1200)⋳⪒(⋰*⋻948⩷∴⋰*⋻3273⨎(⋰*⋻134A⨐⩸⫘⋰*⋻995)))=NaN","reverse_text":"NaN=(((⨰⫟⨤⋰*⋻10A8)⊠≄⫣)⊉≛↸(⋰*⋻1706↺⋰*⋻5267⩨⋰*⋻3572↬⋰*⋻2659))⋳⪒((⋰*⋻1057⨪↰⇹⋰*⋻2260)∀⇚≩(⋰*⋻1896⨰⋰*⋻1200)⋳⪒(⋰*⋻948⩷∴⋰*⋻3273⨎(⋰*⋻134A⨐⩸⫘⋰*⋻995)))","cot":[{"info":"⨰⫟⨤⋰*⋻10A8=NaN","layer":3},{"info":"NaN⊠≄⫣=NaN","layer":2},{"info":"⋰*⋻1706↺⋰*⋻5267=⋰*⋻5267","layer":3},{"info":"⋰*⋻3572↬⋰*⋻2659=NaN","layer":3},{"info":"⋰*⋻5267⩨NaN=NaN","layer":2},{"info":"NaN⊉≛↸NaN=NaN","layer":1},{"info":"⋰*⋻1057⨪↰⇹⋰*⋻2260=⋰*⋻1057","layer":3},{"info":"⋰*⋻1896⨰⋰*⋻1200=⋰*⋻6A5","layer":3},{"info":"⋰*⋻1057∀⇚≩⋰*⋻6A5=NaN","layer":2},{"info":"⋰*⋻948⩷∴⋰*⋻3273=⋰*⋻-4880","layer":3},{"info":"⋰*⋻134A⨐⩸⫘⋰*⋻995=NaN","layer":3},{"info":"⋰*⋻-4880⨎NaN=NaN","layer":2},{"info":"NaN⋳⪒NaN=NaN","layer":1},{"info":"NaN⋳⪒NaN=NaN","layer":0}]}
{"id":915,"expression_no_base_symbol":"(⩦⩻⨪(⩦⩻⨪($1322$∲⫓$3693$)))⋳⪒(($1778$⋓$1812$⋷(⊄⩳↩$2491$))%$2715$⨸⪁$2478$*$3387$⋓$1136$)","expression":"(⩦⩻⨪(⩦⩻⨪(⋰*⋻AA2∲⫓⋰*⋻2858)))⋳⪒((⋰*⋻1377⋓⋰*⋻13A8⋷(⊄⩳↩⋰*⋻1965))%⋰*⋻2049⨸⪁⋰*⋻1953*⋰*⋻25AA⋓⋰*⋻943)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":51,"operation_count":11,"complexity_ratio":4.636363636363637,"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":1322,"base":11},"right_expr":{"type":"numeric_atoms","value":3693,"base":11}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1778,"base":11},"right_expr":{"type":"numeric_atoms","value":1812,"base":11}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":2491,"base":11}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2715,"base":11},"right_expr":{"type":"numeric_atoms","value":2478,"base":11}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3387,"base":11},"right_expr":{"type":"numeric_atoms","value":1136,"base":11}}}}},"used_operators":["12rbrZMWeM","2td37pGCOC","i8ToyICDmI","k8jYdgA6NY","23Mk6UjR3U","T2fj7uvVaJ","8w2t5hMYqp","9HNa5Wba9A","g55IO6H4Gj"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1322","layer":4},{"info":"number node, value=3693","layer":4},{"info":"compute binary expreesion, left_input=1322, right_input=3693, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=0","layer":1},{"info":"number node, value=1778","layer":4},{"info":"number node, value=1812","layer":4},{"info":"compute binary expreesion, left_input=1778, right_input=1812, op_id = T2fj7uvVaJ binary_op_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=2491","layer":4},{"info":"compute unary expreesion, input=2491, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-7473","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-7473, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=0","layer":2},{"info":"number node, value=2715","layer":4},{"info":"number node, value=2478","layer":4},{"info":"compute binary expreesion, left_input=2715, right_input=2478, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10386","layer":3},{"info":"number node, value=3387","layer":4},{"info":"number node, value=1136","layer":4},{"info":"compute binary expreesion, left_input=3387, right_input=1136, op_id = T2fj7uvVaJ binary_op_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=10386, right_input=0, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"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":0}],"base":11,"result_base":11,"text":"(⩦⩻⨪(⩦⩻⨪(⋰*⋻AA2∲⫓⋰*⋻2858)))⋳⪒((⋰*⋻1377⋓⋰*⋻13A8⋷(⊄⩳↩⋰*⋻1965))%⋰*⋻2049⨸⪁⋰*⋻1953*⋰*⋻25AA⋓⋰*⋻943)=NaN","reverse_text":"NaN=(⩦⩻⨪(⩦⩻⨪(⋰*⋻AA2∲⫓⋰*⋻2858)))⋳⪒((⋰*⋻1377⋓⋰*⋻13A8⋷(⊄⩳↩⋰*⋻1965))%⋰*⋻2049⨸⪁⋰*⋻1953*⋰*⋻25AA⋓⋰*⋻943)","cot":[{"info":"⋰*⋻AA2∲⫓⋰*⋻2858=⋰*⋻0","layer":3},{"info":"⩦⩻⨪⋰*⋻0=⋰*⋻0","layer":2},{"info":"⩦⩻⨪⋰*⋻0=⋰*⋻0","layer":1},{"info":"⋰*⋻1377⋓⋰*⋻13A8=⋰*⋻0","layer":3},{"info":"⊄⩳↩⋰*⋻1965=⋰*⋻-5684","layer":3},{"info":"⋰*⋻0⋷⋰*⋻-5684=⋰*⋻0","layer":2},{"info":"⋰*⋻2049⨸⪁⋰*⋻1953=⋰*⋻7892","layer":3},{"info":"⋰*⋻25AA⋓⋰*⋻943=⋰*⋻0","layer":3},{"info":"⋰*⋻7892*⋰*⋻0=⋰*⋻0","layer":2},{"info":"⋰*⋻0%⋰*⋻0=NaN","layer":1},{"info":"⋰*⋻0⋳⪒NaN=NaN","layer":0}]}
{"id":916,"expression_no_base_symbol":"((($1421$⫥∨⫟$2823$)⊦⊿)⋓($4149$⨎$1034$)⪛($4228$≎⊠⪸$3647$))⊴((-$2506$≧⫂∧$2214$)⩨(≉(⨑⩽⪐$2419$)))","expression":"(((⋰*⋻1082⫥∨⫟⋰*⋻2137)⊦⊿)⋓(⋰*⋻3132⨎⋰*⋻860)⪛(⋰*⋻31A4≎⊠⪸⋰*⋻2816))⊴((-⋰*⋻1979≧⫂∧⋰*⋻1733)⩨(≉(⨑⩽⪐⋰*⋻18AA)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":468,"operation_count":12,"complexity_ratio":39.0,"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":1421,"base":11},"right_expr":{"type":"numeric_atoms","value":2823,"base":11}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4149,"base":11},"right_expr":{"type":"numeric_atoms","value":1034,"base":11}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4228,"base":11},"right_expr":{"type":"numeric_atoms","value":3647,"base":11}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2506,"base":11},"right_expr":{"type":"numeric_atoms","value":2214,"base":11}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2419,"base":11}}}}},"used_operators":["Nsiff2A1zJ","T2fj7uvVaJ","14qkJME0vr","KYD54nUTWz","uFcxV4UQCh","rJVOvQCfKK","bJkvcejdHO","2DlMacCsIx","t8gj7n24qd","Ph9nP6C5qx","e1ybzncUwg","AF7qkfDlqP"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1421","layer":4},{"info":"number node, value=2823","layer":4},{"info":"compute binary expreesion, left_input=1421, right_input=2823, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=nan","layer":2},{"info":"number node, value=4149","layer":4},{"info":"number node, value=1034","layer":4},{"info":"compute binary expreesion, left_input=4149, right_input=1034, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1034","layer":3},{"info":"number node, value=4228","layer":4},{"info":"number node, value=3647","layer":4},{"info":"compute binary expreesion, left_input=4228, right_input=3647, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1094579","layer":3},{"info":"compute binary expreesion, left_input=1034, right_input=1094579, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1034","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1034, op_id = T2fj7uvVaJ binary_op_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=2506","layer":4},{"info":"number node, value=2214","layer":4},{"info":"compute binary expreesion, left_input=2506, right_input=2214, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1741","layer":3},{"info":"compute unary expreesion, input=1741, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1741","layer":2},{"info":"number node, value=2419","layer":4},{"info":"compute unary expreesion, input=2419, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2146","layer":3},{"info":"compute unary expreesion, input=-2146, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-2146","layer":2},{"info":"compute binary expreesion, left_input=-1741, right_input=-2146, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-3, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻1082⫥∨⫟⋰*⋻2137)⊦⊿)⋓(⋰*⋻3132⨎⋰*⋻860)⪛(⋰*⋻31A4≎⊠⪸⋰*⋻2816))⊴((-⋰*⋻1979≧⫂∧⋰*⋻1733)⩨(≉(⨑⩽⪐⋰*⋻18AA)))=NaN","reverse_text":"NaN=(((⋰*⋻1082⫥∨⫟⋰*⋻2137)⊦⊿)⋓(⋰*⋻3132⨎⋰*⋻860)⪛(⋰*⋻31A4≎⊠⪸⋰*⋻2816))⊴((-⋰*⋻1979≧⫂∧⋰*⋻1733)⩨(≉(⨑⩽⪐⋰*⋻18AA)))","cot":[{"info":"⋰*⋻1082⫥∨⫟⋰*⋻2137=NaN","layer":3},{"info":"NaN⊦⊿=NaN","layer":2},{"info":"⋰*⋻3132⨎⋰*⋻860=⋰*⋻860","layer":3},{"info":"⋰*⋻31A4≎⊠⪸⋰*⋻2816=⋰*⋻688412","layer":3},{"info":"⋰*⋻860⪛⋰*⋻688412=⋰*⋻860","layer":2},{"info":"NaN⋓⋰*⋻860=⋰*⋻0","layer":1},{"info":"⋰*⋻1979≧⫂∧⋰*⋻1733=⋰*⋻1343","layer":3},{"info":"-⋰*⋻1343=⋰*⋻-1343","layer":2},{"info":"⨑⩽⪐⋰*⋻18AA=⋰*⋻-1681","layer":3},{"info":"≉⋰*⋻-1681=⋰*⋻-1681","layer":2},{"info":"⋰*⋻-1343⩨⋰*⋻-1681=⋰*⋻-3","layer":1},{"info":"⋰*⋻0⊴⋰*⋻-3=NaN","layer":0}]}
{"id":917,"expression_no_base_symbol":"≤/(($1288$⪐)⨸⪁$2535$∑⇟⊟$3037$)⨎($1550$⋝⋈⪟$4211$⫌⩹⨱)","expression":"≤/((⋰*⋻A71⪐)⨸⪁⋰*⋻19A5∑⇟⊟⋰*⋻2311)⨎(⋰*⋻118A⋝⋈⪟⋰*⋻3189⫌⩹⨱)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":18,"operation_count":7,"complexity_ratio":2.5714285714285716,"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":1288,"base":11}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2535,"base":11},"right_expr":{"type":"numeric_atoms","value":3037,"base":11}}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1550,"base":11},"right_expr":{"type":"numeric_atoms","value":4211,"base":11}}}}},"used_operators":["eLAdDNolq6","rJVOvQCfKK","g55IO6H4Gj","eH2TOUuTDT","U7g4x0WXJJ","EBcxylXtPf","2DDjHMKMc0"],"dependent_operators":["rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻-3022","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1288","layer":4},{"info":"compute unary expreesion, input=1288, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2576","layer":3},{"info":"number node, value=2535","layer":4},{"info":"number node, value=3037","layer":4},{"info":"compute binary expreesion, left_input=2535, right_input=3037, 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=2576, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"number node, value=1550","layer":4},{"info":"number node, value=4211","layer":4},{"info":"compute binary expreesion, left_input=1550, right_input=4211, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1550","layer":3},{"info":"compute unary expreesion, input=1550, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=4501","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4501, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4501","layer":1},{"info":"compute unary expreesion, input=4501, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-4017","layer":0}],"base":11,"result_base":11,"text":"≤/((⋰*⋻A71⪐)⨸⪁⋰*⋻19A5∑⇟⊟⋰*⋻2311)⨎(⋰*⋻118A⋝⋈⪟⋰*⋻3189⫌⩹⨱)=⋰*⋻-3022","reverse_text":"⋰*⋻-3022=≤/((⋰*⋻A71⪐)⨸⪁⋰*⋻19A5∑⇟⊟⋰*⋻2311)⨎(⋰*⋻118A⋝⋈⪟⋰*⋻3189⫌⩹⨱)","cot":[{"info":"⋰*⋻A71⪐=⋰*⋻1A32","layer":3},{"info":"⋰*⋻19A5∑⇟⊟⋰*⋻2311=NaN","layer":3},{"info":"⋰*⋻1A32⨸⪁NaN=NaN","layer":2},{"info":"⋰*⋻118A⋝⋈⪟⋰*⋻3189=⋰*⋻118A","layer":3},{"info":"⋰*⋻118A⫌⩹⨱=⋰*⋻3422","layer":2},{"info":"NaN⨎⋰*⋻3422=⋰*⋻3422","layer":1},{"info":"≤/⋰*⋻3422=⋰*⋻-3022","layer":0}]}
{"id":918,"expression_no_base_symbol":"⨰⫟⨤(($9374$/$3050$)↬(∂$5039$)⫥∨⫟(⨰⫟⨤(-$1062$)))","expression":"⨰⫟⨤((⋰*⋻7052/⋰*⋻2323)↬(∂⋰*⋻3871)⫥∨⫟(⨰⫟⨤(-⋰*⋻886)))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":5331,"operation_count":7,"complexity_ratio":761.5714285714286,"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":9374,"base":11},"right_expr":{"type":"numeric_atoms","value":3050,"base":11}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":5039,"base":11}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1062,"base":11}}}}},"used_operators":["Tw270M8GLb","KYD54nUTWz","B5M0gjZbta","XhwjNDsVaA","Uaa54Peajs","t8gj7n24qd"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","8HhzD0ZcuI","rGHVDoGpnC","rGHVDoGpnC","rysDP5nf3Z","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=9374","layer":4},{"info":"number node, value=3050","layer":4},{"info":"compute binary expreesion, left_input=9374, right_input=3050, op_id = XhwjNDsVaA binary_op_definition= 'None', output=3","layer":3},{"info":"number node, value=5039","layer":4},{"info":"compute unary expreesion, input=5039, 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=3, 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=1062","layer":4},{"info":"compute unary expreesion, input=1062, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1062","layer":3},{"info":"compute unary expreesion, input=-1062, 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 = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⨰⫟⨤((⋰*⋻7052/⋰*⋻2323)↬(∂⋰*⋻3871)⫥∨⫟(⨰⫟⨤(-⋰*⋻886)))=NaN","reverse_text":"NaN=⨰⫟⨤((⋰*⋻7052/⋰*⋻2323)↬(∂⋰*⋻3871)⫥∨⫟(⨰⫟⨤(-⋰*⋻886)))","cot":[{"info":"⋰*⋻7052/⋰*⋻2323=⋰*⋻3","layer":3},{"info":"∂⋰*⋻3871=NaN","layer":3},{"info":"⋰*⋻3↬NaN=NaN","layer":2},{"info":"-⋰*⋻886=⋰*⋻-886","layer":3},{"info":"⨰⫟⨤⋰*⋻-886=NaN","layer":2},{"info":"NaN⫥∨⫟NaN=NaN","layer":1},{"info":"⨰⫟⨤NaN=NaN","layer":0}]}
{"id":919,"expression_no_base_symbol":"(((+⊝⨔$1358$)⊭↱$1490$⋥≓≎$2719$)∑⇟⊟($1076$⊉≛↸$6640$+$4799$⨓$1764$))≹⇙⪍((⪝⪂⫅(⩦⩻⨪$3357$))%($1984$⩚⊴⇥$2195$⫡⨏$3242$⨽$1478$))","expression":"(((+⊝⨔⋰*⋻1025)⊭↱⋰*⋻1135⋥≓≎⋰*⋻2052)∑⇟⊟(⋰*⋻899⊉≛↸⋰*⋻4A97+⋰*⋻3673⨓⋰*⋻1364))≹⇙⪍((⪝⪂⫅(⩦⩻⨪⋰*⋻2582))%(⋰*⋻1544⩚⊴⇥⋰*⋻1716⫡⨏⋰*⋻2488⨽⋰*⋻1124))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":154382,"operation_count":14,"complexity_ratio":11027.285714285714,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1358,"base":11}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1490,"base":11},"right_expr":{"type":"numeric_atoms","value":2719,"base":11}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1076,"base":11},"right_expr":{"type":"numeric_atoms","value":6640,"base":11}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":4799,"base":11},"right_expr":{"type":"numeric_atoms","value":1764,"base":11}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":3357,"base":11}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1984,"base":11},"right_expr":{"type":"numeric_atoms","value":2195,"base":11}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3242,"base":11},"right_expr":{"type":"numeric_atoms","value":1478,"base":11}}}}},"used_operators":["AHs5Up7iyr","U7g4x0WXJJ","COABgblf1C","DhbWaqg5eL","Qy55tPpLXF","W4YGzv6Whe","DZ8iAZOCBD","3ViojmjbAp","k8jYdgA6NY","XTarYq4gQB","2td37pGCOC","QMFrweE19q","NTOWxs364D","8HhzD0ZcuI"],"dependent_operators":["dWAJyo7jo9","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1358","layer":4},{"info":"compute unary expreesion, input=1358, 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=1490","layer":4},{"info":"number node, value=2719","layer":4},{"info":"compute binary expreesion, left_input=1490, right_input=2719, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3981","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=3981, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=4923","layer":2},{"info":"number node, value=1076","layer":4},{"info":"number node, value=6640","layer":4},{"info":"compute binary expreesion, left_input=1076, right_input=6640, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2152","layer":3},{"info":"number node, value=4799","layer":4},{"info":"number node, value=1764","layer":4},{"info":"compute binary expreesion, left_input=4799, right_input=1764, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1767","layer":3},{"info":"compute binary expreesion, left_input=2152, right_input=-1767, op_id = W4YGzv6Whe binary_op_definition= 'None', output=385","layer":2},{"info":"compute binary expreesion, left_input=4923, right_input=385, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=3357","layer":4},{"info":"compute unary expreesion, input=3357, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=3357","layer":3},{"info":"compute unary expreesion, input=3357, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-493479","layer":2},{"info":"number node, value=1984","layer":4},{"info":"number node, value=2195","layer":4},{"info":"compute binary expreesion, left_input=1984, right_input=2195, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4300","layer":3},{"info":"number node, value=3242","layer":4},{"info":"number node, value=1478","layer":4},{"info":"compute binary expreesion, left_input=3242, right_input=1478, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-31534812","layer":3},{"info":"compute binary expreesion, left_input=-4300, right_input=-31534812, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-63090341","layer":2},{"info":"compute binary expreesion, left_input=-493479, right_input=-63090341, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-493479","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-493479, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((+⊝⨔⋰*⋻1025)⊭↱⋰*⋻1135⋥≓≎⋰*⋻2052)∑⇟⊟(⋰*⋻899⊉≛↸⋰*⋻4A97+⋰*⋻3673⨓⋰*⋻1364))≹⇙⪍((⪝⪂⫅(⩦⩻⨪⋰*⋻2582))%(⋰*⋻1544⩚⊴⇥⋰*⋻1716⫡⨏⋰*⋻2488⨽⋰*⋻1124))=NaN","reverse_text":"NaN=(((+⊝⨔⋰*⋻1025)⊭↱⋰*⋻1135⋥≓≎⋰*⋻2052)∑⇟⊟(⋰*⋻899⊉≛↸⋰*⋻4A97+⋰*⋻3673⨓⋰*⋻1364))≹⇙⪍((⪝⪂⫅(⩦⩻⨪⋰*⋻2582))%(⋰*⋻1544⩚⊴⇥⋰*⋻1716⫡⨏⋰*⋻2488⨽⋰*⋻1124))","cot":[{"info":"+⊝⨔⋰*⋻1025=⋰*⋻1164","layer":3},{"info":"⋰*⋻1135⋥≓≎⋰*⋻2052=⋰*⋻2A9A","layer":3},{"info":"⋰*⋻1164⊭↱⋰*⋻2A9A=⋰*⋻3776","layer":2},{"info":"⋰*⋻899⊉≛↸⋰*⋻4A97=⋰*⋻1687","layer":3},{"info":"⋰*⋻3673⨓⋰*⋻1364=⋰*⋻-1367","layer":3},{"info":"⋰*⋻1687+⋰*⋻-1367=⋰*⋻320","layer":2},{"info":"⋰*⋻3776∑⇟⊟⋰*⋻320=NaN","layer":1},{"info":"⩦⩻⨪⋰*⋻2582=⋰*⋻2582","layer":3},{"info":"⪝⪂⫅⋰*⋻2582=⋰*⋻-307838","layer":2},{"info":"⋰*⋻1544⩚⊴⇥⋰*⋻1716=⋰*⋻-325A","layer":3},{"info":"⋰*⋻2488⨽⋰*⋻1124=⋰*⋻-16889631","layer":3},{"info":"⋰*⋻-325A⫡⨏⋰*⋻-16889631=⋰*⋻-32681786","layer":2},{"info":"⋰*⋻-307838%⋰*⋻-32681786=⋰*⋻-307838","layer":1},{"info":"NaN≹⇙⪍⋰*⋻-307838=NaN","layer":0}]}
{"id":920,"expression_no_base_symbol":"($1019$+$1063$)⇷($1614$⪒$8888$)∑⇟⊟($4586$⋳⪒$4464$⩨$2185$⋳⪒$1276$)⪨≂(+⊝⨔($3254$↬$1135$-($2351$⫩⊇)))","expression":"(⋰*⋻847+⋰*⋻887)⇷(⋰*⋻1238⪒⋰*⋻6750)∑⇟⊟(⋰*⋻349A⋳⪒⋰*⋻3399⩨⋰*⋻1707⋳⪒⋰*⋻A60)⪨≂(+⊝⨔(⋰*⋻2499↬⋰*⋻942-(⋰*⋻1848⫩⊇)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":29208,"operation_count":12,"complexity_ratio":2434.0,"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":1019,"base":11},"right_expr":{"type":"numeric_atoms","value":1063,"base":11}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1614,"base":11},"right_expr":{"type":"numeric_atoms","value":8888,"base":11}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":4586,"base":11},"right_expr":{"type":"numeric_atoms","value":4464,"base":11}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2185,"base":11},"right_expr":{"type":"numeric_atoms","value":1276,"base":11}}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3254,"base":11},"right_expr":{"type":"numeric_atoms","value":1135,"base":11}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":2351,"base":11}}}}},"used_operators":["sdazOOVcIp","U7g4x0WXJJ","mp7IySMOzn","W4YGzv6Whe","f6k1SAg4EE","2DlMacCsIx","12rbrZMWeM","DhbWaqg5eL","rysDP5nf3Z","B5M0gjZbta","BjRHVeLaeN"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1019","layer":4},{"info":"number node, value=1063","layer":4},{"info":"compute binary expreesion, left_input=1019, right_input=1063, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2082","layer":3},{"info":"number node, value=1614","layer":4},{"info":"number node, value=8888","layer":4},{"info":"compute binary expreesion, left_input=1614, right_input=8888, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-10502","layer":3},{"info":"compute binary expreesion, left_input=2082, right_input=-10502, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"number node, value=4586","layer":4},{"info":"number node, value=4464","layer":4},{"info":"compute binary expreesion, left_input=4586, right_input=4464, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=4421","layer":3},{"info":"number node, value=2185","layer":4},{"info":"number node, value=1276","layer":4},{"info":"compute binary expreesion, left_input=2185, right_input=1276, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2807","layer":3},{"info":"compute binary expreesion, left_input=4421, right_input=2807, 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 = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=3254","layer":4},{"info":"number node, value=1135","layer":4},{"info":"compute binary expreesion, left_input=3254, right_input=1135, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=2351","layer":4},{"info":"compute unary expreesion, input=2351, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-2309","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2309, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1522, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻847+⋰*⋻887)⇷(⋰*⋻1238⪒⋰*⋻6750)∑⇟⊟(⋰*⋻349A⋳⪒⋰*⋻3399⩨⋰*⋻1707⋳⪒⋰*⋻A60)⪨≂(+⊝⨔(⋰*⋻2499↬⋰*⋻942-(⋰*⋻1848⫩⊇)))=NaN","reverse_text":"NaN=(⋰*⋻847+⋰*⋻887)⇷(⋰*⋻1238⪒⋰*⋻6750)∑⇟⊟(⋰*⋻349A⋳⪒⋰*⋻3399⩨⋰*⋻1707⋳⪒⋰*⋻A60)⪨≂(+⊝⨔(⋰*⋻2499↬⋰*⋻942-(⋰*⋻1848⫩⊇)))","cot":[{"info":"⋰*⋻847+⋰*⋻887=⋰*⋻1623","layer":3},{"info":"⋰*⋻1238⪒⋰*⋻6750=⋰*⋻-7988","layer":3},{"info":"⋰*⋻1623⇷⋰*⋻-7988=NaN","layer":2},{"info":"⋰*⋻349A⋳⪒⋰*⋻3399=⋰*⋻335A","layer":3},{"info":"⋰*⋻1707⋳⪒⋰*⋻A60=⋰*⋻2122","layer":3},{"info":"⋰*⋻335A⩨⋰*⋻2122=⋰*⋻0","layer":2},{"info":"NaN∑⇟⊟⋰*⋻0=NaN","layer":1},{"info":"⋰*⋻2499↬⋰*⋻942=NaN","layer":3},{"info":"⋰*⋻1848⫩⊇=⋰*⋻-180A","layer":3},{"info":"NaN-⋰*⋻-180A=NaN","layer":2},{"info":"+⊝⨔NaN=⋰*⋻1164","layer":1},{"info":"NaN⪨≂⋰*⋻1164=NaN","layer":0}]}
{"id":921,"expression_no_base_symbol":"($2599$⋝⋈⪟$2880$⩨($2270$%$5896$))⪛(($5133$⩚⊴⇥$2435$)⪘⫢($4683$⪄$4836$))⋝⋈⪟(($3106$+⇶⊼$1342$≎⊠⪸(⨞⊢$3564$))⨰($4014$≭$2851$)⨓(≦∁$1756$))","expression":"(⋰*⋻1A53⋝⋈⪟⋰*⋻2189⩨(⋰*⋻1784%⋰*⋻4480))⪛((⋰*⋻3947⩚⊴⇥⋰*⋻1914)⪘⫢(⋰*⋻3578⪄⋰*⋻36A7))⋝⋈⪟((⋰*⋻2374+⇶⊼⋰*⋻1010≎⊠⪸(⨞⊢⋰*⋻2750))⨰(⋰*⋻301A≭⋰*⋻2162)⨓(≦∁⋰*⋻1357))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1906,"operation_count":15,"complexity_ratio":127.06666666666666,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2599,"base":11},"right_expr":{"type":"numeric_atoms","value":2880,"base":11}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2270,"base":11},"right_expr":{"type":"numeric_atoms","value":5896,"base":11}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":5133,"base":11},"right_expr":{"type":"numeric_atoms","value":2435,"base":11}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4683,"base":11},"right_expr":{"type":"numeric_atoms","value":4836,"base":11}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3106,"base":11},"right_expr":{"type":"numeric_atoms","value":1342,"base":11}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":3564,"base":11}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4014,"base":11},"right_expr":{"type":"numeric_atoms","value":2851,"base":11}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1756,"base":11}}}}},"used_operators":["2DDjHMKMc0","uFcxV4UQCh","2DlMacCsIx","k8jYdgA6NY","oacrs7FA3X","NTOWxs364D","SUmda5xLS4","eewbuw0ToL","bJkvcejdHO","TpPTUOHfaN","xUOZtlo3hN","3ViojmjbAp","rxpJgHHUmx","9ICcGScMcE"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","AHs5Up7iyr","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2599","layer":4},{"info":"number node, value=2880","layer":4},{"info":"compute binary expreesion, left_input=2599, right_input=2880, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2599","layer":3},{"info":"number node, value=2270","layer":4},{"info":"number node, value=5896","layer":4},{"info":"compute binary expreesion, left_input=2270, right_input=5896, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2270","layer":3},{"info":"compute binary expreesion, left_input=2599, right_input=2270, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":2},{"info":"number node, value=5133","layer":4},{"info":"number node, value=2435","layer":4},{"info":"compute binary expreesion, left_input=5133, right_input=2435, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7689","layer":3},{"info":"number node, value=4683","layer":4},{"info":"number node, value=4836","layer":4},{"info":"compute binary expreesion, left_input=4683, right_input=4836, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-708517","layer":3},{"info":"compute binary expreesion, left_input=-7689, right_input=-708517, 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 = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=0","layer":1},{"info":"number node, value=3106","layer":4},{"info":"number node, value=1342","layer":4},{"info":"compute binary expreesion, left_input=3106, right_input=1342, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=3564","layer":4},{"info":"compute unary expreesion, input=3564, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-3738","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3738, 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=4014","layer":4},{"info":"number node, value=2851","layer":4},{"info":"compute binary expreesion, left_input=4014, right_input=2851, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1756","layer":4},{"info":"compute unary expreesion, input=1756, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1756","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1756, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1759","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-1759, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1836","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=1836, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=0","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1A53⋝⋈⪟⋰*⋻2189⩨(⋰*⋻1784%⋰*⋻4480))⪛((⋰*⋻3947⩚⊴⇥⋰*⋻1914)⪘⫢(⋰*⋻3578⪄⋰*⋻36A7))⋝⋈⪟((⋰*⋻2374+⇶⊼⋰*⋻1010≎⊠⪸(⨞⊢⋰*⋻2750))⨰(⋰*⋻301A≭⋰*⋻2162)⨓(≦∁⋰*⋻1357))=⋰*⋻0","reverse_text":"⋰*⋻0=(⋰*⋻1A53⋝⋈⪟⋰*⋻2189⩨(⋰*⋻1784%⋰*⋻4480))⪛((⋰*⋻3947⩚⊴⇥⋰*⋻1914)⪘⫢(⋰*⋻3578⪄⋰*⋻36A7))⋝⋈⪟((⋰*⋻2374+⇶⊼⋰*⋻1010≎⊠⪸(⨞⊢⋰*⋻2750))⨰(⋰*⋻301A≭⋰*⋻2162)⨓(≦∁⋰*⋻1357))","cot":[{"info":"⋰*⋻1A53⋝⋈⪟⋰*⋻2189=⋰*⋻1A53","layer":3},{"info":"⋰*⋻1784%⋰*⋻4480=⋰*⋻1784","layer":3},{"info":"⋰*⋻1A53⩨⋰*⋻1784=⋰*⋻0","layer":2},{"info":"⋰*⋻3947⩚⊴⇥⋰*⋻1914=⋰*⋻-5860","layer":3},{"info":"⋰*⋻3578⪄⋰*⋻36A7=⋰*⋻-444357","layer":3},{"info":"⋰*⋻-5860⪘⫢⋰*⋻-444357=⋰*⋻-1","layer":2},{"info":"⋰*⋻0⪛⋰*⋻-1=⋰*⋻0","layer":1},{"info":"⋰*⋻2374+⇶⊼⋰*⋻1010=NaN","layer":3},{"info":"⨞⊢⋰*⋻2750=⋰*⋻-2899","layer":3},{"info":"NaN≎⊠⪸⋰*⋻-2899=⋰*⋻61","layer":2},{"info":"⋰*⋻301A≭⋰*⋻2162=NaN","layer":3},{"info":"≦∁⋰*⋻1357=⋰*⋻1357","layer":3},{"info":"NaN⨓⋰*⋻1357=⋰*⋻-135A","layer":2},{"info":"⋰*⋻61⨰⋰*⋻-135A=⋰*⋻141A","layer":1},{"info":"⋰*⋻0⋝⋈⪟⋰*⋻141A=⋰*⋻0","layer":0}]}
{"id":922,"expression_no_base_symbol":"↣≠⋷(($5899$⪮%⊝$2400$⋫)⋝⋈⪟(⨑⩽⪐$1922$⪮%⊝$2722$))","expression":"↣≠⋷((⋰*⋻4483⪮%⊝⋰*⋻1892⋫)⋝⋈⪟(⨑⩽⪐⋰*⋻1498⪮%⊝⋰*⋻2055))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":12142,"operation_count":6,"complexity_ratio":2023.6666666666667,"tree":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":5899,"base":11},"right_expr":{"type":"numeric_atoms","value":2400,"base":11}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1922,"base":11},"right_expr":{"type":"numeric_atoms","value":2722,"base":11}}}}},"used_operators":["Asc51vEJeQ","2DDjHMKMc0","JL8yIekQnl","IWmyXbctLI","AF7qkfDlqP"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5899","layer":4},{"info":"number node, value=2400","layer":4},{"info":"compute binary expreesion, left_input=5899, right_input=2400, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=12114","layer":3},{"info":"compute unary expreesion, input=12114, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=12114","layer":2},{"info":"number node, value=1922","layer":4},{"info":"number node, value=2722","layer":4},{"info":"compute binary expreesion, left_input=1922, right_input=2722, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4160","layer":3},{"info":"compute unary expreesion, input=4160, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-3887","layer":2},{"info":"compute binary expreesion, left_input=12114, right_input=-3887, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=12114","layer":1},{"info":"compute unary expreesion, input=12114, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"↣≠⋷((⋰*⋻4483⪮%⊝⋰*⋻1892⋫)⋝⋈⪟(⨑⩽⪐⋰*⋻1498⪮%⊝⋰*⋻2055))=NaN","reverse_text":"NaN=↣≠⋷((⋰*⋻4483⪮%⊝⋰*⋻1892⋫)⋝⋈⪟(⨑⩽⪐⋰*⋻1498⪮%⊝⋰*⋻2055))","cot":[{"info":"⋰*⋻4483⪮%⊝⋰*⋻1892=⋰*⋻9113","layer":3},{"info":"⋰*⋻9113⋫=⋰*⋻9113","layer":2},{"info":"⋰*⋻1498⪮%⊝⋰*⋻2055=⋰*⋻3142","layer":3},{"info":"⨑⩽⪐⋰*⋻3142=⋰*⋻-2A14","layer":2},{"info":"⋰*⋻9113⋝⋈⪟⋰*⋻-2A14=⋰*⋻9113","layer":1},{"info":"↣≠⋷⋰*⋻9113=NaN","layer":0}]}
{"id":923,"expression_no_base_symbol":"(((⪝⪂⫅$2131$)⨐⩸⫘$1528$⨰$4848$)⫥∨⫟($3607$+$1787$)⋓($2207$⊉≛↸$4002$))∑⇟⊟($1625$⩷∴$1609$⨎$5863$⊴$2718$)∀⇚≩($4267$*$6422$)⊴($4935$≦≮≮)","expression":"(((⪝⪂⫅⋰*⋻1668)⨐⩸⫘⋰*⋻116A⨰⋰*⋻3708)⫥∨⫟(⋰*⋻278A+⋰*⋻1385)⋓(⋰*⋻1727⊉≛↸⋰*⋻3009))∑⇟⊟(⋰*⋻1248⩷∴⋰*⋻1233⨎⋰*⋻4450⊴⋰*⋻2051)∀⇚≩(⋰*⋻322A*⋰*⋻4909)⊴(⋰*⋻3787≦≮≮)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1011676,"operation_count":15,"complexity_ratio":67445.06666666667,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":2131,"base":11}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1528,"base":11},"right_expr":{"type":"numeric_atoms","value":4848,"base":11}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3607,"base":11},"right_expr":{"type":"numeric_atoms","value":1787,"base":11}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2207,"base":11},"right_expr":{"type":"numeric_atoms","value":4002,"base":11}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1625,"base":11},"right_expr":{"type":"numeric_atoms","value":1609,"base":11}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":5863,"base":11},"right_expr":{"type":"numeric_atoms","value":2718,"base":11}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4267,"base":11},"right_expr":{"type":"numeric_atoms","value":6422,"base":11}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":4935,"base":11}}}}},"used_operators":["U7g4x0WXJJ","KYD54nUTWz","fu6greOZ01","XTarYq4gQB","eewbuw0ToL","T2fj7uvVaJ","W4YGzv6Whe","DZ8iAZOCBD","LRNGc0VcxI","rJVOvQCfKK","9FxExcQeMw","Nsiff2A1zJ","9HNa5Wba9A","D4vGDi5EA2"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","8HhzD0ZcuI","rGHVDoGpnC","3ViojmjbAp","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2131","layer":4},{"info":"compute unary expreesion, input=2131, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-313257","layer":3},{"info":"number node, value=1528","layer":4},{"info":"number node, value=4848","layer":4},{"info":"compute binary expreesion, left_input=1528, right_input=4848, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-3310","layer":3},{"info":"compute binary expreesion, left_input=-313257, right_input=-3310, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=3607","layer":4},{"info":"number node, value=1787","layer":4},{"info":"compute binary expreesion, left_input=3607, right_input=1787, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5394","layer":3},{"info":"number node, value=2207","layer":4},{"info":"number node, value=4002","layer":4},{"info":"compute binary expreesion, left_input=2207, right_input=4002, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4414","layer":3},{"info":"compute binary expreesion, left_input=5394, right_input=4414, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1625","layer":4},{"info":"number node, value=1609","layer":4},{"info":"compute binary expreesion, left_input=1625, right_input=1609, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=0","layer":3},{"info":"number node, value=5863","layer":4},{"info":"number node, value=2718","layer":4},{"info":"compute binary expreesion, left_input=5863, right_input=2718, 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 = 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=4267","layer":4},{"info":"number node, value=6422","layer":4},{"info":"compute binary expreesion, left_input=4267, right_input=6422, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=27402674","layer":3},{"info":"number node, value=4935","layer":4},{"info":"compute unary expreesion, input=4935, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-14805","layer":3},{"info":"compute binary expreesion, left_input=27402674, right_input=-14805, 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 = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":11,"result_base":11,"text":"(((⪝⪂⫅⋰*⋻1668)⨐⩸⫘⋰*⋻116A⨰⋰*⋻3708)⫥∨⫟(⋰*⋻278A+⋰*⋻1385)⋓(⋰*⋻1727⊉≛↸⋰*⋻3009))∑⇟⊟(⋰*⋻1248⩷∴⋰*⋻1233⨎⋰*⋻4450⊴⋰*⋻2051)∀⇚≩(⋰*⋻322A*⋰*⋻4909)⊴(⋰*⋻3787≦≮≮)=NaN","reverse_text":"NaN=(((⪝⪂⫅⋰*⋻1668)⨐⩸⫘⋰*⋻116A⨰⋰*⋻3708)⫥∨⫟(⋰*⋻278A+⋰*⋻1385)⋓(⋰*⋻1727⊉≛↸⋰*⋻3009))∑⇟⊟(⋰*⋻1248⩷∴⋰*⋻1233⨎⋰*⋻4450⊴⋰*⋻2051)∀⇚≩(⋰*⋻322A*⋰*⋻4909)⊴(⋰*⋻3787≦≮≮)","cot":[{"info":"⪝⪂⫅⋰*⋻1668=⋰*⋻-1A439A","layer":3},{"info":"⋰*⋻116A⨰⋰*⋻3708=⋰*⋻-253A","layer":3},{"info":"⋰*⋻-1A439A⨐⩸⫘⋰*⋻-253A=NaN","layer":2},{"info":"⋰*⋻278A+⋰*⋻1385=⋰*⋻4064","layer":3},{"info":"⋰*⋻1727⊉≛↸⋰*⋻3009=⋰*⋻3353","layer":3},{"info":"⋰*⋻4064⋓⋰*⋻3353=⋰*⋻0","layer":2},{"info":"NaN⫥∨⫟⋰*⋻0=NaN","layer":1},{"info":"⋰*⋻1248⩷∴⋰*⋻1233=⋰*⋻0","layer":3},{"info":"⋰*⋻4450⊴⋰*⋻2051=NaN","layer":3},{"info":"⋰*⋻0⨎NaN=NaN","layer":2},{"info":"⋰*⋻322A*⋰*⋻4909=⋰*⋻14517042","layer":3},{"info":"⋰*⋻3787≦≮≮=⋰*⋻-1013A","layer":3},{"info":"⋰*⋻14517042⊴⋰*⋻-1013A=NaN","layer":2},{"info":"NaN∀⇚≩NaN=NaN","layer":1},{"info":"NaN∑⇟⊟NaN=NaN","layer":0}]}
{"id":924,"expression_no_base_symbol":"(($2842$⋥≓≎$1550$)⊘)⪮%⊝($5216$⨳⩥⨓$1152$⋷($4474$⪨≂$5614$))⩠","expression":"((⋰*⋻2154⋥≓≎⋰*⋻118A)⊘)⪮%⊝(⋰*⋻3A12⨳⩥⨓⋰*⋻958⋷(⋰*⋻33A8⪨≂⋰*⋻4244))⩠","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":59,"operation_count":7,"complexity_ratio":8.428571428571429,"tree":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2842,"base":11},"right_expr":{"type":"numeric_atoms","value":1550,"base":11}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5216,"base":11},"right_expr":{"type":"numeric_atoms","value":1152,"base":11}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4474,"base":11},"right_expr":{"type":"numeric_atoms","value":5614,"base":11}}}}},"used_operators":["sJAwomhLZr","IWmyXbctLI","gu96TGCTMs","Qy55tPpLXF","23Mk6UjR3U","nCS4ZIUYfx","sdazOOVcIp"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"⋰*⋻-87A","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2842","layer":4},{"info":"number node, value=1550","layer":4},{"info":"compute binary expreesion, left_input=2842, right_input=1550, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=291","layer":3},{"info":"compute unary expreesion, input=291, 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=5216","layer":4},{"info":"number node, value=1152","layer":4},{"info":"compute binary expreesion, left_input=5216, right_input=1152, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-4064","layer":3},{"info":"number node, value=4474","layer":4},{"info":"number node, value=5614","layer":4},{"info":"compute binary expreesion, left_input=4474, right_input=5614, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-2178","layer":3},{"info":"compute binary expreesion, left_input=-4064, right_input=-2178, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=8128","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=8128, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=316","layer":1},{"info":"compute unary expreesion, input=316, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=-1055","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻2154⋥≓≎⋰*⋻118A)⊘)⪮%⊝(⋰*⋻3A12⨳⩥⨓⋰*⋻958⋷(⋰*⋻33A8⪨≂⋰*⋻4244))⩠=⋰*⋻-87A","reverse_text":"⋰*⋻-87A=((⋰*⋻2154⋥≓≎⋰*⋻118A)⊘)⪮%⊝(⋰*⋻3A12⨳⩥⨓⋰*⋻958⋷(⋰*⋻33A8⪨≂⋰*⋻4244))⩠","cot":[{"info":"⋰*⋻2154⋥≓≎⋰*⋻118A=⋰*⋻245","layer":3},{"info":"⋰*⋻245⊘=⋰*⋻0","layer":2},{"info":"⋰*⋻3A12⨳⩥⨓⋰*⋻958=⋰*⋻-3065","layer":3},{"info":"⋰*⋻33A8⪨≂⋰*⋻4244=⋰*⋻-1700","layer":3},{"info":"⋰*⋻-3065⋷⋰*⋻-1700=⋰*⋻611A","layer":2},{"info":"⋰*⋻0⪮%⊝⋰*⋻611A=⋰*⋻268","layer":1},{"info":"⋰*⋻268⩠=⋰*⋻-87A","layer":0}]}
{"id":925,"expression_no_base_symbol":"((+⊝⨔$1154$)⨎($1007$*$2602$)⫥∨⫟($1848$⫸⊐$1427$)⊴($2353$⇷$1607$))∀⇚≩(⨵≀≌$1002$⨎$5598$⨐⩸⫘($7968$⪨≂$3273$))","expression":"((+⊝⨔⋰*⋻95A)⨎(⋰*⋻836*⋰*⋻1A56)⫥∨⫟(⋰*⋻1430⫸⊐⋰*⋻1088)⊴(⋰*⋻184A⇷⋰*⋻1231))∀⇚≩(⨵≀≌⋰*⋻831⨎⋰*⋻422A⨐⩸⫘(⋰*⋻5A94⪨≂⋰*⋻2506))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":40510,"operation_count":12,"complexity_ratio":3375.8333333333335,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1154,"base":11}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1007,"base":11},"right_expr":{"type":"numeric_atoms","value":2602,"base":11}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1848,"base":11},"right_expr":{"type":"numeric_atoms","value":1427,"base":11}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2353,"base":11},"right_expr":{"type":"numeric_atoms","value":1607,"base":11}}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1002,"base":11},"right_expr":{"type":"numeric_atoms","value":5598,"base":11}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":7968,"base":11},"right_expr":{"type":"numeric_atoms","value":3273,"base":11}}}}},"used_operators":["LRNGc0VcxI","KYD54nUTWz","rJVOvQCfKK","DhbWaqg5eL","9HNa5Wba9A","Nsiff2A1zJ","mqXw5SEYmG","mp7IySMOzn","srAu1WTS94","fu6greOZ01","sdazOOVcIp"],"dependent_operators":["X99M06cbEe","8HhzD0ZcuI","rGHVDoGpnC","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1154","layer":4},{"info":"compute unary expreesion, input=1154, op_id = 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=1007","layer":4},{"info":"number node, value=2602","layer":4},{"info":"compute binary expreesion, left_input=1007, right_input=2602, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2620214","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=2620214, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2620214","layer":2},{"info":"number node, value=1848","layer":4},{"info":"number node, value=1427","layer":4},{"info":"compute binary expreesion, left_input=1848, right_input=1427, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5583","layer":3},{"info":"number node, value=2353","layer":4},{"info":"number node, value=1607","layer":4},{"info":"compute binary expreesion, left_input=2353, right_input=1607, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3214","layer":3},{"info":"compute binary expreesion, left_input=5583, right_input=3214, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2620214, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1002","layer":4},{"info":"number node, value=5598","layer":4},{"info":"compute binary expreesion, left_input=1002, right_input=5598, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5598","layer":3},{"info":"number node, value=7968","layer":4},{"info":"number node, value=3273","layer":4},{"info":"compute binary expreesion, left_input=7968, right_input=3273, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=9492","layer":3},{"info":"compute binary expreesion, left_input=5598, right_input=9492, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = 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 = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"((+⊝⨔⋰*⋻95A)⨎(⋰*⋻836*⋰*⋻1A56)⫥∨⫟(⋰*⋻1430⫸⊐⋰*⋻1088)⊴(⋰*⋻184A⇷⋰*⋻1231))∀⇚≩(⨵≀≌⋰*⋻831⨎⋰*⋻422A⨐⩸⫘(⋰*⋻5A94⪨≂⋰*⋻2506))=NaN","reverse_text":"NaN=((+⊝⨔⋰*⋻95A)⨎(⋰*⋻836*⋰*⋻1A56)⫥∨⫟(⋰*⋻1430⫸⊐⋰*⋻1088)⊴(⋰*⋻184A⇷⋰*⋻1231))∀⇚≩(⨵≀≌⋰*⋻831⨎⋰*⋻422A⨐⩸⫘(⋰*⋻5A94⪨≂⋰*⋻2506))","cot":[{"info":"+⊝⨔⋰*⋻95A=⋰*⋻1164","layer":3},{"info":"⋰*⋻836*⋰*⋻1A56=⋰*⋻152A673","layer":3},{"info":"⋰*⋻1164⨎⋰*⋻152A673=⋰*⋻152A673","layer":2},{"info":"⋰*⋻1430⫸⊐⋰*⋻1088=⋰*⋻4216","layer":3},{"info":"⋰*⋻184A⇷⋰*⋻1231=⋰*⋻2462","layer":3},{"info":"⋰*⋻4216⊴⋰*⋻2462=NaN","layer":2},{"info":"⋰*⋻152A673⫥∨⫟NaN=NaN","layer":1},{"info":"⋰*⋻831⨎⋰*⋻422A=⋰*⋻422A","layer":3},{"info":"⋰*⋻5A94⪨≂⋰*⋻2506=⋰*⋻714A","layer":3},{"info":"⋰*⋻422A⨐⩸⫘⋰*⋻714A=NaN","layer":2},{"info":"⨵≀≌NaN=NaN","layer":1},{"info":"NaN∀⇚≩NaN=NaN","layer":0}]}
{"id":926,"expression_no_base_symbol":"(($4455$*$2802$)⫩⊇)⊴(⪲⇎$1435$≎⊠⪸$3167$)≧⫂∧(($4791$⋳⪒$8860$-(≤/$2689$))↙($4563$⨪↰⇹$1378$⩨(↣≠⋷$2520$)))","expression":"((⋰*⋻3390*⋰*⋻2118)⫩⊇)⊴(⪲⇎⋰*⋻1095≎⊠⪸⋰*⋻241A)≧⫂∧((⋰*⋻3666⋳⪒⋰*⋻6725-(≤/⋰*⋻2025))↙(⋰*⋻3479⨪↰⇹⋰*⋻1043⩨(↣≠⋷⋰*⋻1991)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2097903,"operation_count":13,"complexity_ratio":161377.15384615384,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4455,"base":11},"right_expr":{"type":"numeric_atoms","value":2802,"base":11}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1435,"base":11},"right_expr":{"type":"numeric_atoms","value":3167,"base":11}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":4791,"base":11},"right_expr":{"type":"numeric_atoms","value":8860,"base":11}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2689,"base":11}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4563,"base":11},"right_expr":{"type":"numeric_atoms","value":1378,"base":11}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2520,"base":11}}}}},"used_operators":["Ph9nP6C5qx","Nsiff2A1zJ","BjRHVeLaeN","9HNa5Wba9A","XPYlsWDdGa","bJkvcejdHO","yyfyN0ffXY","rysDP5nf3Z","12rbrZMWeM","eLAdDNolq6","2DlMacCsIx","tmPS8pqC7x","Asc51vEJeQ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rJVOvQCfKK","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4455","layer":4},{"info":"number node, value=2802","layer":4},{"info":"compute binary expreesion, left_input=4455, right_input=2802, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=12482910","layer":3},{"info":"compute unary expreesion, input=12482910, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-12482868","layer":2},{"info":"number node, value=1435","layer":4},{"info":"number node, value=3167","layer":4},{"info":"compute binary expreesion, left_input=1435, right_input=3167, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=371192","layer":3},{"info":"compute unary expreesion, input=371192, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=742384","layer":2},{"info":"compute binary expreesion, left_input=-12482868, right_input=742384, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=4791","layer":4},{"info":"number node, value=8860","layer":4},{"info":"compute binary expreesion, left_input=4791, right_input=8860, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=435","layer":3},{"info":"number node, value=2689","layer":4},{"info":"compute unary expreesion, input=2689, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2205","layer":3},{"info":"compute binary expreesion, left_input=435, right_input=-2205, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2640","layer":2},{"info":"number node, value=4563","layer":4},{"info":"number node, value=1378","layer":4},{"info":"compute binary expreesion, left_input=4563, right_input=1378, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=4563","layer":3},{"info":"number node, value=2520","layer":4},{"info":"compute unary expreesion, input=2520, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4563, 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=2640, 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=nan, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻3390*⋰*⋻2118)⫩⊇)⊴(⪲⇎⋰*⋻1095≎⊠⪸⋰*⋻241A)≧⫂∧((⋰*⋻3666⋳⪒⋰*⋻6725-(≤/⋰*⋻2025))↙(⋰*⋻3479⨪↰⇹⋰*⋻1043⩨(↣≠⋷⋰*⋻1991)))=NaN","reverse_text":"NaN=((⋰*⋻3390*⋰*⋻2118)⫩⊇)⊴(⪲⇎⋰*⋻1095≎⊠⪸⋰*⋻241A)≧⫂∧((⋰*⋻3666⋳⪒⋰*⋻6725-(≤/⋰*⋻2025))↙(⋰*⋻3479⨪↰⇹⋰*⋻1043⩨(↣≠⋷⋰*⋻1991)))","cot":[{"info":"⋰*⋻3390*⋰*⋻2118=⋰*⋻7056660","layer":3},{"info":"⋰*⋻7056660⫩⊇=⋰*⋻-7056622","layer":2},{"info":"⋰*⋻1095≎⊠⪸⋰*⋻241A=⋰*⋻233978","layer":3},{"info":"⪲⇎⋰*⋻233978=⋰*⋻467845","layer":2},{"info":"⋰*⋻-7056622⊴⋰*⋻467845=NaN","layer":1},{"info":"⋰*⋻3666⋳⪒⋰*⋻6725=⋰*⋻366","layer":3},{"info":"≤/⋰*⋻2025=⋰*⋻-1725","layer":3},{"info":"⋰*⋻366-⋰*⋻-1725=⋰*⋻1A90","layer":2},{"info":"⋰*⋻3479⨪↰⇹⋰*⋻1043=⋰*⋻3479","layer":3},{"info":"↣≠⋷⋰*⋻1991=NaN","layer":3},{"info":"⋰*⋻3479⩨NaN=NaN","layer":2},{"info":"⋰*⋻1A90↙NaN=NaN","layer":1},{"info":"NaN≧⫂∧NaN=NaN","layer":0}]}
{"id":927,"expression_no_base_symbol":"(($4298$/$6238$)≧⫂∧($1038$⨰$1867$)⊉≛↸($2141$⩨$1225$)⨐⩸⫘$1012$≭$7045$)⨎($4102$⪘⫢$2060$⨓($2190$⋷$1225$)⨳⩥⨓((⊙↵-$2049$)⪄$4928$⨓$4022$))","expression":"((⋰*⋻3258/⋰*⋻4761)≧⫂∧(⋰*⋻864⨰⋰*⋻1448)⊉≛↸(⋰*⋻1677⩨⋰*⋻A14)⨐⩸⫘⋰*⋻840≭⋰*⋻5325)⨎(⋰*⋻309A⪘⫢⋰*⋻1603⨓(⋰*⋻1711⋷⋰*⋻A14)⨳⩥⨓((⊙↵-⋰*⋻15A3)⪄⋰*⋻3780⨓⋰*⋻3027))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":6451,"operation_count":15,"complexity_ratio":430.06666666666666,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4298,"base":11},"right_expr":{"type":"numeric_atoms","value":6238,"base":11}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1038,"base":11},"right_expr":{"type":"numeric_atoms","value":1867,"base":11}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2141,"base":11},"right_expr":{"type":"numeric_atoms","value":1225,"base":11}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1012,"base":11},"right_expr":{"type":"numeric_atoms","value":7045,"base":11}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4102,"base":11},"right_expr":{"type":"numeric_atoms","value":2060,"base":11}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2190,"base":11},"right_expr":{"type":"numeric_atoms","value":1225,"base":11}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2049,"base":11}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":4928,"base":11},"right_expr":{"type":"numeric_atoms","value":4022,"base":11}}}}},"used_operators":["rJVOvQCfKK","DZ8iAZOCBD","Ph9nP6C5qx","XhwjNDsVaA","eewbuw0ToL","fu6greOZ01","2DlMacCsIx","rxpJgHHUmx","nCS4ZIUYfx","3ViojmjbAp","oacrs7FA3X","23Mk6UjR3U","SUmda5xLS4","oWn0xqSxBt"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"⋰*⋻14386","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4298","layer":4},{"info":"number node, value=6238","layer":4},{"info":"compute binary expreesion, left_input=4298, right_input=6238, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=1038","layer":4},{"info":"number node, value=1867","layer":4},{"info":"compute binary expreesion, left_input=1038, right_input=1867, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-819","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-819, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=819","layer":2},{"info":"number node, value=2141","layer":4},{"info":"number node, value=1225","layer":4},{"info":"compute binary expreesion, left_input=2141, right_input=1225, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=1012","layer":4},{"info":"number node, value=7045","layer":4},{"info":"compute binary expreesion, left_input=1012, right_input=7045, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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 = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=819, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=1638","layer":1},{"info":"number node, value=4102","layer":4},{"info":"number node, value=2060","layer":4},{"info":"compute binary expreesion, left_input=4102, right_input=2060, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=8080","layer":3},{"info":"number node, value=2190","layer":4},{"info":"number node, value=1225","layer":4},{"info":"compute binary expreesion, left_input=2190, right_input=1225, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=260","layer":3},{"info":"compute binary expreesion, left_input=8080, right_input=260, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-263","layer":2},{"info":"number node, value=2049","layer":4},{"info":"compute unary expreesion, input=2049, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=4928","layer":4},{"info":"number node, value=4022","layer":4},{"info":"compute binary expreesion, left_input=4928, right_input=4022, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4025","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=-4025, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=20159","layer":2},{"info":"compute binary expreesion, left_input=-263, right_input=20159, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=20422","layer":1},{"info":"compute binary expreesion, left_input=1638, right_input=20422, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=20422","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻3258/⋰*⋻4761)≧⫂∧(⋰*⋻864⨰⋰*⋻1448)⊉≛↸(⋰*⋻1677⩨⋰*⋻A14)⨐⩸⫘⋰*⋻840≭⋰*⋻5325)⨎(⋰*⋻309A⪘⫢⋰*⋻1603⨓(⋰*⋻1711⋷⋰*⋻A14)⨳⩥⨓((⊙↵-⋰*⋻15A3)⪄⋰*⋻3780⨓⋰*⋻3027))=⋰*⋻14386","reverse_text":"⋰*⋻14386=((⋰*⋻3258/⋰*⋻4761)≧⫂∧(⋰*⋻864⨰⋰*⋻1448)⊉≛↸(⋰*⋻1677⩨⋰*⋻A14)⨐⩸⫘⋰*⋻840≭⋰*⋻5325)⨎(⋰*⋻309A⪘⫢⋰*⋻1603⨓(⋰*⋻1711⋷⋰*⋻A14)⨳⩥⨓((⊙↵-⋰*⋻15A3)⪄⋰*⋻3780⨓⋰*⋻3027))","cot":[{"info":"⋰*⋻3258/⋰*⋻4761=⋰*⋻0","layer":3},{"info":"⋰*⋻864⨰⋰*⋻1448=⋰*⋻-685","layer":3},{"info":"⋰*⋻0≧⫂∧⋰*⋻-685=⋰*⋻685","layer":2},{"info":"⋰*⋻1677⩨⋰*⋻A14=⋰*⋻0","layer":3},{"info":"⋰*⋻840≭⋰*⋻5325=NaN","layer":3},{"info":"⋰*⋻0⨐⩸⫘NaN=NaN","layer":2},{"info":"⋰*⋻685⊉≛↸NaN=⋰*⋻125A","layer":1},{"info":"⋰*⋻309A⪘⫢⋰*⋻1603=⋰*⋻6086","layer":3},{"info":"⋰*⋻1711⋷⋰*⋻A14=⋰*⋻217","layer":3},{"info":"⋰*⋻6086⨓⋰*⋻217=⋰*⋻-21A","layer":2},{"info":"⊙↵-⋰*⋻15A3=⋰*⋻-1","layer":3},{"info":"⋰*⋻3780⨓⋰*⋻3027=⋰*⋻-302A","layer":3},{"info":"⋰*⋻-1⪄⋰*⋻-302A=⋰*⋻14167","layer":2},{"info":"⋰*⋻-21A⨳⩥⨓⋰*⋻14167=⋰*⋻14386","layer":1},{"info":"⋰*⋻125A⨎⋰*⋻14386=⋰*⋻14386","layer":0}]}
{"id":928,"expression_no_base_symbol":"((⨈⫕$2112$⩷∴$2706$)/((⨑⩽⪐$1575$)⫌⩹⨱))⪢(⋗⩬⋾($1485$⪛$2619$≋⫹))","expression":"((⨈⫕⋰*⋻1650⩷∴⋰*⋻2040)/((⨑⩽⪐⋰*⋻1202)⫌⩹⨱))⪢(⋗⩬⋾(⋰*⋻1130⪛⋰*⋻1A71≋⫹))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":9324,"operation_count":9,"complexity_ratio":1036.0,"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":2112,"base":11},"right_expr":{"type":"numeric_atoms","value":2706,"base":11}}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1575,"base":11}}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1485,"base":11},"right_expr":{"type":"numeric_atoms","value":2619,"base":11}}}}},"used_operators":["dWAJyo7jo9","XhwjNDsVaA","megm06wKyl","9FxExcQeMw","EBcxylXtPf","AF7qkfDlqP","DpFCA1CohY","N41Kp7NANJ","uFcxV4UQCh"],"dependent_operators":["k8jYdgA6NY","rysDP5nf3Z","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2112","layer":4},{"info":"number node, value=2706","layer":4},{"info":"compute binary expreesion, left_input=2112, right_input=2706, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-1220","layer":3},{"info":"compute unary expreesion, input=-1220, 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=1575","layer":4},{"info":"compute unary expreesion, input=1575, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1302","layer":3},{"info":"compute unary expreesion, input=-1302, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=-1203","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=-1203, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"number node, value=1485","layer":4},{"info":"number node, value=2619","layer":4},{"info":"compute binary expreesion, left_input=1485, right_input=2619, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1485","layer":3},{"info":"compute unary expreesion, input=1485, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2970","layer":2},{"info":"compute unary expreesion, input=-2970, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=8910","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=8910, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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":11,"result_base":11,"text":"((⨈⫕⋰*⋻1650⩷∴⋰*⋻2040)/((⨑⩽⪐⋰*⋻1202)⫌⩹⨱))⪢(⋗⩬⋾(⋰*⋻1130⪛⋰*⋻1A71≋⫹))=NaN","reverse_text":"NaN=((⨈⫕⋰*⋻1650⩷∴⋰*⋻2040)/((⨑⩽⪐⋰*⋻1202)⫌⩹⨱))⪢(⋗⩬⋾(⋰*⋻1130⪛⋰*⋻1A71≋⫹))","cot":[{"info":"⋰*⋻1650⩷∴⋰*⋻2040=⋰*⋻-A0A","layer":3},{"info":"⨈⫕⋰*⋻-A0A=⋰*⋻-1A","layer":2},{"info":"⨑⩽⪐⋰*⋻1202=⋰*⋻-A84","layer":3},{"info":"⋰*⋻-A84⫌⩹⨱=⋰*⋻-9A4","layer":2},{"info":"⋰*⋻-1A/⋰*⋻-9A4=⋰*⋻0","layer":1},{"info":"⋰*⋻1130⪛⋰*⋻1A71=⋰*⋻1130","layer":3},{"info":"⋰*⋻1130≋⫹=⋰*⋻-2260","layer":2},{"info":"⋗⩬⋾⋰*⋻-2260=⋰*⋻6770","layer":1},{"info":"⋰*⋻0⪢⋰*⋻6770=NaN","layer":0}]}
{"id":929,"expression_no_base_symbol":"↣≠⋷((⋗⩬⋾($2381$⪒$5227$))⇷($2374$⨓$1306$)⨪↰⇹(⨵≀≌$3885$))","expression":"↣≠⋷((⋗⩬⋾(⋰*⋻1875⪒⋰*⋻3A22))⇷(⋰*⋻1869⨓⋰*⋻A88)⨪↰⇹(⨵≀≌⋰*⋻2A12))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":322175,"operation_count":7,"complexity_ratio":46025.0,"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":2381,"base":11},"right_expr":{"type":"numeric_atoms","value":5227,"base":11}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2374,"base":11},"right_expr":{"type":"numeric_atoms","value":1306,"base":11}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":3885,"base":11}}}}},"used_operators":["Asc51vEJeQ","mp7IySMOzn","DpFCA1CohY","f6k1SAg4EE","tmPS8pqC7x","3ViojmjbAp","srAu1WTS94"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2381","layer":4},{"info":"number node, value=5227","layer":4},{"info":"compute binary expreesion, left_input=2381, right_input=5227, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7608","layer":3},{"info":"compute unary expreesion, input=-7608, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=22824","layer":2},{"info":"number node, value=2374","layer":4},{"info":"number node, value=1306","layer":4},{"info":"compute binary expreesion, left_input=2374, right_input=1306, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1309","layer":3},{"info":"number node, value=3885","layer":4},{"info":"compute unary expreesion, input=3885, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-11655","layer":3},{"info":"compute binary expreesion, left_input=-1309, right_input=-11655, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1309","layer":2},{"info":"compute binary expreesion, left_input=22824, right_input=1309, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2618","layer":1},{"info":"compute unary expreesion, input=2618, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"↣≠⋷((⋗⩬⋾(⋰*⋻1875⪒⋰*⋻3A22))⇷(⋰*⋻1869⨓⋰*⋻A88)⨪↰⇹(⨵≀≌⋰*⋻2A12))=NaN","reverse_text":"NaN=↣≠⋷((⋗⩬⋾(⋰*⋻1875⪒⋰*⋻3A22))⇷(⋰*⋻1869⨓⋰*⋻A88)⨪↰⇹(⨵≀≌⋰*⋻2A12))","cot":[{"info":"⋰*⋻1875⪒⋰*⋻3A22=⋰*⋻-5797","layer":3},{"info":"⋗⩬⋾⋰*⋻-5797=⋰*⋻1616A","layer":2},{"info":"⋰*⋻1869⨓⋰*⋻A88=⋰*⋻-A90","layer":3},{"info":"⨵≀≌⋰*⋻2A12=⋰*⋻-8836","layer":3},{"info":"⋰*⋻-A90⨪↰⇹⋰*⋻-8836=⋰*⋻A90","layer":2},{"info":"⋰*⋻1616A⇷⋰*⋻A90=⋰*⋻1A70","layer":1},{"info":"↣≠⋷⋰*⋻1A70=NaN","layer":0}]}
{"id":930,"expression_no_base_symbol":"((-(↩$1215$))-$1105$∼$2086$⊉≛↸($1851$≋⫹))≫≃","expression":"((-(↩⋰*⋻A05))-⋰*⋻915∼⋰*⋻1627⊉≛↸(⋰*⋻1433≋⫹))≫≃","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":53,"operation_count":7,"complexity_ratio":7.571428571428571,"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":1215,"base":11}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1105,"base":11},"right_expr":{"type":"numeric_atoms","value":2086,"base":11}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1851,"base":11}}}}},"used_operators":["X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","jLgFTUHLKL","DZ8iAZOCBD","DyGG3AbaNP","N41Kp7NANJ"],"dependent_operators":["2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1215","layer":4},{"info":"compute unary expreesion, input=1215, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-6940","layer":3},{"info":"compute unary expreesion, input=-6940, op_id = t8gj7n24qd, unary_op_definition = 'None', output=6940","layer":2},{"info":"number node, value=1105","layer":4},{"info":"number node, value=2086","layer":4},{"info":"compute binary expreesion, left_input=1105, right_input=2086, 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=1851","layer":4},{"info":"compute unary expreesion, input=1851, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-3702","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3702, 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=6940, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', 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":11,"result_base":11,"text":"((-(↩⋰*⋻A05))-⋰*⋻915∼⋰*⋻1627⊉≛↸(⋰*⋻1433≋⫹))≫≃=NaN","reverse_text":"NaN=((-(↩⋰*⋻A05))-⋰*⋻915∼⋰*⋻1627⊉≛↸(⋰*⋻1433≋⫹))≫≃","cot":[{"info":"↩⋰*⋻A05=⋰*⋻-523A","layer":3},{"info":"-⋰*⋻-523A=⋰*⋻523A","layer":2},{"info":"⋰*⋻915∼⋰*⋻1627=NaN","layer":3},{"info":"⋰*⋻1433≋⫹=⋰*⋻-2866","layer":3},{"info":"NaN⊉≛↸⋰*⋻-2866=NaN","layer":2},{"info":"⋰*⋻523A-NaN=NaN","layer":1},{"info":"NaN≫≃=NaN","layer":0}]}
{"id":931,"expression_no_base_symbol":"(⩦⩻⨪$4427$≹⇙⪍$1146$)∼(($2446$-$9076$)≋⫹)⨐⩸⫘($4519$⋥≓≎$2263$⊭↱$1093$⨎$2409$⪒(⊄⩳↩($3128$⊭↱$5140$)))","expression":"(⩦⩻⨪⋰*⋻3365≹⇙⪍⋰*⋻952)∼((⋰*⋻1924-⋰*⋻6901)≋⫹)⨐⩸⫘(⋰*⋻3439⋥≓≎⋰*⋻1778⊭↱⋰*⋻904⨎⋰*⋻18A0⪒(⊄⩳↩(⋰*⋻2394⊭↱⋰*⋻3953)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":35,"operation_count":12,"complexity_ratio":2.9166666666666665,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":4427,"base":11},"right_expr":{"type":"numeric_atoms","value":1146,"base":11}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2446,"base":11},"right_expr":{"type":"numeric_atoms","value":9076,"base":11}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4519,"base":11},"right_expr":{"type":"numeric_atoms","value":2263,"base":11}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1093,"base":11},"right_expr":{"type":"numeric_atoms","value":2409,"base":11}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3128,"base":11},"right_expr":{"type":"numeric_atoms","value":5140,"base":11}}}}},"used_operators":["fu6greOZ01","DyGG3AbaNP","2td37pGCOC","AHs5Up7iyr","N41Kp7NANJ","rysDP5nf3Z","f6k1SAg4EE","COABgblf1C","Qy55tPpLXF","rJVOvQCfKK","8w2t5hMYqp"],"dependent_operators":["3ViojmjbAp","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4427","layer":4},{"info":"number node, value=1146","layer":4},{"info":"compute binary expreesion, left_input=4427, right_input=1146, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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":"number node, value=2446","layer":4},{"info":"number node, value=9076","layer":4},{"info":"compute binary expreesion, left_input=2446, right_input=9076, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-6630","layer":3},{"info":"compute unary expreesion, input=-6630, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=13260","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=13260, 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=4519","layer":4},{"info":"number node, value=2263","layer":4},{"info":"compute binary expreesion, left_input=4519, right_input=2263, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=40","layer":3},{"info":"number node, value=1093","layer":4},{"info":"number node, value=2409","layer":4},{"info":"compute binary expreesion, left_input=1093, right_input=2409, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2409","layer":3},{"info":"compute binary expreesion, left_input=40, right_input=2409, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=4743","layer":2},{"info":"number node, value=3128","layer":4},{"info":"number node, value=5140","layer":4},{"info":"compute binary expreesion, left_input=3128, right_input=5140, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=4029","layer":3},{"info":"compute unary expreesion, input=4029, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-12087","layer":2},{"info":"compute binary expreesion, left_input=4743, right_input=-12087, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=7344","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=7344, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⩦⩻⨪⋰*⋻3365≹⇙⪍⋰*⋻952)∼((⋰*⋻1924-⋰*⋻6901)≋⫹)⨐⩸⫘(⋰*⋻3439⋥≓≎⋰*⋻1778⊭↱⋰*⋻904⨎⋰*⋻18A0⪒(⊄⩳↩(⋰*⋻2394⊭↱⋰*⋻3953)))=NaN","reverse_text":"NaN=(⩦⩻⨪⋰*⋻3365≹⇙⪍⋰*⋻952)∼((⋰*⋻1924-⋰*⋻6901)≋⫹)⨐⩸⫘(⋰*⋻3439⋥≓≎⋰*⋻1778⊭↱⋰*⋻904⨎⋰*⋻18A0⪒(⊄⩳↩(⋰*⋻2394⊭↱⋰*⋻3953)))","cot":[{"info":"⋰*⋻3365≹⇙⪍⋰*⋻952=NaN","layer":3},{"info":"⩦⩻⨪NaN=NaN","layer":2},{"info":"⋰*⋻1924-⋰*⋻6901=⋰*⋻-4A88","layer":3},{"info":"⋰*⋻-4A88≋⫹=⋰*⋻9A65","layer":2},{"info":"NaN∼⋰*⋻9A65=NaN","layer":1},{"info":"⋰*⋻3439⋥≓≎⋰*⋻1778=⋰*⋻37","layer":3},{"info":"⋰*⋻904⨎⋰*⋻18A0=⋰*⋻18A0","layer":3},{"info":"⋰*⋻37⊭↱⋰*⋻18A0=⋰*⋻3622","layer":2},{"info":"⋰*⋻2394⊭↱⋰*⋻3953=⋰*⋻3033","layer":3},{"info":"⊄⩳↩⋰*⋻3033=⋰*⋻-9099","layer":2},{"info":"⋰*⋻3622⪒⋰*⋻-9099=⋰*⋻5577","layer":1},{"info":"NaN⨐⩸⫘⋰*⋻5577=NaN","layer":0}]}
{"id":932,"expression_no_base_symbol":"((↯⪼($2515$⪛$7695$))-(⋗⩬⋾$1446$)⇷$4246$∀⇚≩$1315$)⨎(⊙↵-(⊙↵-($1002$⊦⊿)))","expression":"((↯⪼(⋰*⋻1987⪛⋰*⋻5866))-(⋗⩬⋾⋰*⋻10A5)⇷⋰*⋻3210∀⇚≩⋰*⋻A96)⨎(⊙↵-(⊙↵-(⋰*⋻831⊦⊿)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":93845,"operation_count":10,"complexity_ratio":9384.5,"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":2515,"base":11},"right_expr":{"type":"numeric_atoms","value":7695,"base":11}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1446,"base":11}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4246,"base":11},"right_expr":{"type":"numeric_atoms","value":1315,"base":11}}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1002,"base":11}}}}},"used_operators":["rJVOvQCfKK","rysDP5nf3Z","8jW3W4yZS5","uFcxV4UQCh","mp7IySMOzn","DpFCA1CohY","LRNGc0VcxI","oWn0xqSxBt","14qkJME0vr"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2515","layer":4},{"info":"number node, value=7695","layer":4},{"info":"compute binary expreesion, left_input=2515, right_input=7695, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2515","layer":3},{"info":"compute unary expreesion, input=2515, 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=1446","layer":4},{"info":"compute unary expreesion, input=1446, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-4338","layer":3},{"info":"number node, value=4246","layer":4},{"info":"number node, value=1315","layer":4},{"info":"compute binary expreesion, left_input=4246, right_input=1315, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=-4338, 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=-21, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1002","layer":4},{"info":"compute unary expreesion, input=1002, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-3085","layer":3},{"info":"compute unary expreesion, input=-3085, 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 = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=0","layer":0}],"base":11,"result_base":11,"text":"((↯⪼(⋰*⋻1987⪛⋰*⋻5866))-(⋗⩬⋾⋰*⋻10A5)⇷⋰*⋻3210∀⇚≩⋰*⋻A96)⨎(⊙↵-(⊙↵-(⋰*⋻831⊦⊿)))=⋰*⋻0","reverse_text":"⋰*⋻0=((↯⪼(⋰*⋻1987⪛⋰*⋻5866))-(⋗⩬⋾⋰*⋻10A5)⇷⋰*⋻3210∀⇚≩⋰*⋻A96)⨎(⊙↵-(⊙↵-(⋰*⋻831⊦⊿)))","cot":[{"info":"⋰*⋻1987⪛⋰*⋻5866=⋰*⋻1987","layer":3},{"info":"↯⪼⋰*⋻1987=⋰*⋻-1A","layer":2},{"info":"⋗⩬⋾⋰*⋻10A5=⋰*⋻-3294","layer":3},{"info":"⋰*⋻3210∀⇚≩⋰*⋻A96=NaN","layer":3},{"info":"⋰*⋻-3294⇷NaN=NaN","layer":2},{"info":"⋰*⋻-1A-NaN=NaN","layer":1},{"info":"⋰*⋻831⊦⊿=⋰*⋻-2355","layer":3},{"info":"⊙↵-⋰*⋻-2355=⋰*⋻169","layer":2},{"info":"⊙↵-⋰*⋻169=⋰*⋻0","layer":1},{"info":"NaN⨎⋰*⋻0=⋰*⋻0","layer":0}]}
{"id":933,"expression_no_base_symbol":"(↥$8622$⪘⫢$2674$)⪘⫢($4664$⨽$7919$%(⨵≀≌$5818$))⫥∨⫟(($3411$⋝⋈⪟$4294$)⇷($3440$⊠≄⫣)⊭↱($5870$-$2843$⋷$1147$+⇶⊼$4133$))","expression":"(↥⋰*⋻6529⪘⫢⋰*⋻2011)⪘⫢(⋰*⋻3560⨽⋰*⋻5A4A%(⨵≀≌⋰*⋻440A))⫥∨⫟((⋰*⋻2621⋝⋈⪟⋰*⋻3254)⇷(⋰*⋻2648⊠≄⫣)⊭↱(⋰*⋻4457-⋰*⋻2155⋷⋰*⋻953+⇶⊼⋰*⋻3118))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":56706,"operation_count":14,"complexity_ratio":4050.4285714285716,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":8622,"base":11},"right_expr":{"type":"numeric_atoms","value":2674,"base":11}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4664,"base":11},"right_expr":{"type":"numeric_atoms","value":7919,"base":11}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":5818,"base":11}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3411,"base":11},"right_expr":{"type":"numeric_atoms","value":4294,"base":11}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":3440,"base":11}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":5870,"base":11},"right_expr":{"type":"numeric_atoms","value":2843,"base":11}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1147,"base":11},"right_expr":{"type":"numeric_atoms","value":4133,"base":11}}}}},"used_operators":["KYD54nUTWz","oacrs7FA3X","A8NUZmVepG","k8jYdgA6NY","8HhzD0ZcuI","srAu1WTS94","COABgblf1C","mp7IySMOzn","2DDjHMKMc0","DIvbN7qnHd","23Mk6UjR3U","rysDP5nf3Z","TpPTUOHfaN"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","k8jYdgA6NY","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=8622","layer":4},{"info":"number node, value=2674","layer":4},{"info":"compute binary expreesion, left_input=8622, right_input=2674, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=17120","layer":3},{"info":"compute unary expreesion, input=17120, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=35","layer":2},{"info":"number node, value=4664","layer":4},{"info":"number node, value=7919","layer":4},{"info":"compute binary expreesion, left_input=4664, right_input=7919, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-65281131","layer":3},{"info":"number node, value=5818","layer":4},{"info":"compute unary expreesion, input=5818, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-17454","layer":3},{"info":"compute binary expreesion, left_input=-65281131, right_input=-17454, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-3171","layer":2},{"info":"compute binary expreesion, left_input=35, right_input=-3171, 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=3411","layer":4},{"info":"number node, value=4294","layer":4},{"info":"compute binary expreesion, left_input=3411, right_input=4294, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3411","layer":3},{"info":"number node, value=3440","layer":4},{"info":"compute unary expreesion, input=3440, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=3411, right_input=0, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":2},{"info":"number node, value=5870","layer":4},{"info":"number node, value=2843","layer":4},{"info":"compute binary expreesion, left_input=5870, right_input=2843, op_id = rysDP5nf3Z binary_op_definition= 'None', output=3027","layer":3},{"info":"number node, value=1147","layer":4},{"info":"number node, value=4133","layer":4},{"info":"compute binary expreesion, left_input=1147, right_input=4133, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=3027, 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=0, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-1, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(↥⋰*⋻6529⪘⫢⋰*⋻2011)⪘⫢(⋰*⋻3560⨽⋰*⋻5A4A%(⨵≀≌⋰*⋻440A))⫥∨⫟((⋰*⋻2621⋝⋈⪟⋰*⋻3254)⇷(⋰*⋻2648⊠≄⫣)⊭↱(⋰*⋻4457-⋰*⋻2155⋷⋰*⋻953+⇶⊼⋰*⋻3118))=NaN","reverse_text":"NaN=(↥⋰*⋻6529⪘⫢⋰*⋻2011)⪘⫢(⋰*⋻3560⨽⋰*⋻5A4A%(⨵≀≌⋰*⋻440A))⫥∨⫟((⋰*⋻2621⋝⋈⪟⋰*⋻3254)⇷(⋰*⋻2648⊠≄⫣)⊭↱(⋰*⋻4457-⋰*⋻2155⋷⋰*⋻953+⇶⊼⋰*⋻3118))","cot":[{"info":"⋰*⋻6529⪘⫢⋰*⋻2011=⋰*⋻11954","layer":3},{"info":"↥⋰*⋻11954=⋰*⋻32","layer":2},{"info":"⋰*⋻3560⨽⋰*⋻5A4A=⋰*⋻-33938753","layer":3},{"info":"⨵≀≌⋰*⋻440A=⋰*⋻-12128","layer":3},{"info":"⋰*⋻-33938753%⋰*⋻-12128=⋰*⋻-2423","layer":2},{"info":"⋰*⋻32⪘⫢⋰*⋻-2423=⋰*⋻-1","layer":1},{"info":"⋰*⋻2621⋝⋈⪟⋰*⋻3254=⋰*⋻2621","layer":3},{"info":"⋰*⋻2648⊠≄⫣=⋰*⋻0","layer":3},{"info":"⋰*⋻2621⇷⋰*⋻0=⋰*⋻0","layer":2},{"info":"⋰*⋻4457-⋰*⋻2155=⋰*⋻2302","layer":3},{"info":"⋰*⋻953+⇶⊼⋰*⋻3118=NaN","layer":3},{"info":"⋰*⋻2302⋷NaN=NaN","layer":2},{"info":"⋰*⋻0⊭↱NaN=NaN","layer":1},{"info":"⋰*⋻-1⫥∨⫟NaN=NaN","layer":0}]}
{"id":934,"expression_no_base_symbol":"($3117$∸)⨪↰⇹($3635$⨰$1688$)⫥∨⫟($2037$≭$4282$⊠≄⫣)⫥∨⫟(($7290$⇼⇔∾$2510$)⨟⋌⩍($1555$⋝⋈⪟$7650$)-($5526$-$1921$)⨐⩸⫘(↥$1023$))","expression":"(⋰*⋻2384∸)⨪↰⇹(⋰*⋻2805⨰⋰*⋻12A5)⫥∨⫟(⋰*⋻1592≭⋰*⋻3243⊠≄⫣)⫥∨⫟((⋰*⋻5528⇼⇔∾⋰*⋻1982)⨟⋌⩍(⋰*⋻1194⋝⋈⪟⋰*⋻5825)-(⋰*⋻4174-⋰*⋻1497)⨐⩸⫘(↥⋰*⋻850))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":727,"operation_count":14,"complexity_ratio":51.92857142857143,"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":3117,"base":11}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3635,"base":11},"right_expr":{"type":"numeric_atoms","value":1688,"base":11}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2037,"base":11},"right_expr":{"type":"numeric_atoms","value":4282,"base":11}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":7290,"base":11},"right_expr":{"type":"numeric_atoms","value":2510,"base":11}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1555,"base":11},"right_expr":{"type":"numeric_atoms","value":7650,"base":11}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":5526,"base":11},"right_expr":{"type":"numeric_atoms","value":1921,"base":11}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1023,"base":11}}}}},"used_operators":["KYD54nUTWz","tmPS8pqC7x","o20kRiQErp","eewbuw0ToL","DIvbN7qnHd","rxpJgHHUmx","rysDP5nf3Z","rGHVDoGpnC","tifHPKVTfV","2DDjHMKMc0","fu6greOZ01","A8NUZmVepG"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","rJVOvQCfKK","tmPS8pqC7x","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3117","layer":4},{"info":"compute unary expreesion, input=3117, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=3635","layer":4},{"info":"number node, value=1688","layer":4},{"info":"compute binary expreesion, left_input=3635, right_input=1688, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1957","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=1957, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=177","layer":2},{"info":"number node, value=2037","layer":4},{"info":"number node, value=4282","layer":4},{"info":"compute binary expreesion, left_input=2037, right_input=4282, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=177, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=7290","layer":4},{"info":"number node, value=2510","layer":4},{"info":"compute binary expreesion, left_input=7290, right_input=2510, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-4780","layer":3},{"info":"number node, value=1555","layer":4},{"info":"number node, value=7650","layer":4},{"info":"compute binary expreesion, left_input=1555, right_input=7650, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1555","layer":3},{"info":"compute binary expreesion, left_input=-4780, right_input=1555, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=5526","layer":4},{"info":"number node, value=1921","layer":4},{"info":"compute binary expreesion, left_input=5526, right_input=1921, op_id = rysDP5nf3Z binary_op_definition= 'None', output=3605","layer":3},{"info":"number node, value=1023","layer":4},{"info":"compute unary expreesion, input=1023, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=3","layer":3},{"info":"compute binary expreesion, left_input=3605, right_input=3, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-6","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-6, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻2384∸)⨪↰⇹(⋰*⋻2805⨰⋰*⋻12A5)⫥∨⫟(⋰*⋻1592≭⋰*⋻3243⊠≄⫣)⫥∨⫟((⋰*⋻5528⇼⇔∾⋰*⋻1982)⨟⋌⩍(⋰*⋻1194⋝⋈⪟⋰*⋻5825)-(⋰*⋻4174-⋰*⋻1497)⨐⩸⫘(↥⋰*⋻850))=NaN","reverse_text":"NaN=(⋰*⋻2384∸)⨪↰⇹(⋰*⋻2805⨰⋰*⋻12A5)⫥∨⫟(⋰*⋻1592≭⋰*⋻3243⊠≄⫣)⫥∨⫟((⋰*⋻5528⇼⇔∾⋰*⋻1982)⨟⋌⩍(⋰*⋻1194⋝⋈⪟⋰*⋻5825)-(⋰*⋻4174-⋰*⋻1497)⨐⩸⫘(↥⋰*⋻850))","cot":[{"info":"⋰*⋻2384∸=⋰*⋻151","layer":3},{"info":"⋰*⋻2805⨰⋰*⋻12A5=⋰*⋻151A","layer":3},{"info":"⋰*⋻151⨪↰⇹⋰*⋻151A=⋰*⋻151","layer":2},{"info":"⋰*⋻1592≭⋰*⋻3243=NaN","layer":3},{"info":"NaN⊠≄⫣=NaN","layer":2},{"info":"⋰*⋻151⫥∨⫟NaN=NaN","layer":1},{"info":"⋰*⋻5528⇼⇔∾⋰*⋻1982=⋰*⋻-3656","layer":3},{"info":"⋰*⋻1194⋝⋈⪟⋰*⋻5825=⋰*⋻1194","layer":3},{"info":"⋰*⋻-3656⨟⋌⩍⋰*⋻1194=NaN","layer":2},{"info":"⋰*⋻4174-⋰*⋻1497=⋰*⋻2788","layer":3},{"info":"↥⋰*⋻850=⋰*⋻3","layer":3},{"info":"⋰*⋻2788⨐⩸⫘⋰*⋻3=⋰*⋻-6","layer":2},{"info":"NaN-⋰*⋻-6=NaN","layer":1},{"info":"NaN⫥∨⫟NaN=NaN","layer":0}]}
{"id":935,"expression_no_base_symbol":"((($1277$⊉≛↸$1232$)∸)⋥≓≎(⨑⩽⪐($1395$⫸⊐$1970$)))⨽(↯⪼((⊙↵-$2112$)⫸⊐($2375$⋷$4046$)))","expression":"(((⋰*⋻A61⊉≛↸⋰*⋻A20)∸)⋥≓≎(⨑⩽⪐(⋰*⋻1059⫸⊐⋰*⋻1531)))⨽(↯⪼((⊙↵-⋰*⋻1650)⫸⊐(⋰*⋻186A⋷⋰*⋻3049)))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":17524,"operation_count":10,"complexity_ratio":1752.4,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1277,"base":11},"right_expr":{"type":"numeric_atoms","value":1232,"base":11}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1395,"base":11},"right_expr":{"type":"numeric_atoms","value":1970,"base":11}}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2112,"base":11}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2375,"base":11},"right_expr":{"type":"numeric_atoms","value":4046,"base":11}}}}},"used_operators":["8HhzD0ZcuI","Qy55tPpLXF","o20kRiQErp","DZ8iAZOCBD","AF7qkfDlqP","mqXw5SEYmG","8jW3W4yZS5","oWn0xqSxBt","23Mk6UjR3U"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻-321586587","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1277","layer":4},{"info":"number node, value=1232","layer":4},{"info":"compute binary expreesion, left_input=1277, right_input=1232, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2554","layer":3},{"info":"compute unary expreesion, input=2554, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"number node, value=1395","layer":4},{"info":"number node, value=1970","layer":4},{"info":"compute binary expreesion, left_input=1395, right_input=1970, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=7755","layer":3},{"info":"compute unary expreesion, input=7755, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-7482","layer":2},{"info":"compute binary expreesion, left_input=177, right_input=-7482, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-15108","layer":1},{"info":"number node, value=2112","layer":4},{"info":"compute unary expreesion, input=2112, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=2375","layer":4},{"info":"number node, value=4046","layer":4},{"info":"compute binary expreesion, left_input=2375, right_input=4046, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=5717","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=5717, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=483","layer":2},{"info":"compute unary expreesion, input=483, 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=-15108, right_input=-21, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-684753615","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻A61⊉≛↸⋰*⋻A20)∸)⋥≓≎(⨑⩽⪐(⋰*⋻1059⫸⊐⋰*⋻1531)))⨽(↯⪼((⊙↵-⋰*⋻1650)⫸⊐(⋰*⋻186A⋷⋰*⋻3049)))=⋰*⋻-321586587","reverse_text":"⋰*⋻-321586587=(((⋰*⋻A61⊉≛↸⋰*⋻A20)∸)⋥≓≎(⨑⩽⪐(⋰*⋻1059⫸⊐⋰*⋻1531)))⨽(↯⪼((⊙↵-⋰*⋻1650)⫸⊐(⋰*⋻186A⋷⋰*⋻3049)))","cot":[{"info":"⋰*⋻A61⊉≛↸⋰*⋻A20=⋰*⋻1A12","layer":3},{"info":"⋰*⋻1A12∸=⋰*⋻151","layer":2},{"info":"⋰*⋻1059⫸⊐⋰*⋻1531=⋰*⋻5910","layer":3},{"info":"⨑⩽⪐⋰*⋻5910=⋰*⋻-5692","layer":2},{"info":"⋰*⋻151⋥≓≎⋰*⋻-5692=⋰*⋻-10395","layer":1},{"info":"⊙↵-⋰*⋻1650=⋰*⋻-1","layer":3},{"info":"⋰*⋻186A⋷⋰*⋻3049=⋰*⋻4328","layer":3},{"info":"⋰*⋻-1⫸⊐⋰*⋻4328=⋰*⋻3AA","layer":2},{"info":"↯⪼⋰*⋻3AA=⋰*⋻-1A","layer":1},{"info":"⋰*⋻-10395⨽⋰*⋻-1A=⋰*⋻-321586587","layer":0}]}
{"id":936,"expression_no_base_symbol":"(↽≂($1461$⩨$1982$))⨓((⨵≀≌$5469$)+⇶⊼$2573$∑⇟⊟$5253$)⪨≂(($5965$*$5462$)≭($1611$⨸⪁$2061$)⪨≂(↽≂($4963$⊪)))","expression":"(↽≂(⋰*⋻1109⩨⋰*⋻1542))⨓((⨵≀≌⋰*⋻4122)+⇶⊼⋰*⋻1A2A∑⇟⊟⋰*⋻3A46)⪨≂((⋰*⋻4533*⋰*⋻4116)≭(⋰*⋻1235⨸⪁⋰*⋻1604)⪨≂(↽≂(⋰*⋻3802⊪)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":5531,"operation_count":13,"complexity_ratio":425.46153846153845,"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":1461,"base":11},"right_expr":{"type":"numeric_atoms","value":1982,"base":11}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":5469,"base":11}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2573,"base":11},"right_expr":{"type":"numeric_atoms","value":5253,"base":11}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":5965,"base":11},"right_expr":{"type":"numeric_atoms","value":5462,"base":11}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1611,"base":11},"right_expr":{"type":"numeric_atoms","value":2061,"base":11}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":4963,"base":11}}}}},"used_operators":["sdazOOVcIp","3ViojmjbAp","u6S6b8DprG","2DlMacCsIx","TpPTUOHfaN","srAu1WTS94","U7g4x0WXJJ","rxpJgHHUmx","9HNa5Wba9A","g55IO6H4Gj","zVYPLywUTj"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","AHs5Up7iyr","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","AHs5Up7iyr","W4YGzv6Whe","W4YGzv6Whe","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1461","layer":4},{"info":"number node, value=1982","layer":4},{"info":"compute binary expreesion, left_input=1461, right_input=1982, 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 = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=6","layer":2},{"info":"number node, value=5469","layer":4},{"info":"compute unary expreesion, input=5469, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-16407","layer":3},{"info":"number node, value=2573","layer":4},{"info":"number node, value=5253","layer":4},{"info":"compute binary expreesion, left_input=2573, right_input=5253, 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=-16407, 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=6, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"number node, value=5965","layer":4},{"info":"number node, value=5462","layer":4},{"info":"compute binary expreesion, left_input=5965, right_input=5462, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=32580830","layer":3},{"info":"number node, value=1611","layer":4},{"info":"number node, value=2061","layer":4},{"info":"compute binary expreesion, left_input=1611, right_input=2061, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=7344","layer":3},{"info":"compute binary expreesion, left_input=32580830, right_input=7344, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=4963","layer":4},{"info":"compute unary expreesion, input=4963, 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 = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 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":11,"result_base":11,"text":"(↽≂(⋰*⋻1109⩨⋰*⋻1542))⨓((⨵≀≌⋰*⋻4122)+⇶⊼⋰*⋻1A2A∑⇟⊟⋰*⋻3A46)⪨≂((⋰*⋻4533*⋰*⋻4116)≭(⋰*⋻1235⨸⪁⋰*⋻1604)⪨≂(↽≂(⋰*⋻3802⊪)))=NaN","reverse_text":"NaN=(↽≂(⋰*⋻1109⩨⋰*⋻1542))⨓((⨵≀≌⋰*⋻4122)+⇶⊼⋰*⋻1A2A∑⇟⊟⋰*⋻3A46)⪨≂((⋰*⋻4533*⋰*⋻4116)≭(⋰*⋻1235⨸⪁⋰*⋻1604)⪨≂(↽≂(⋰*⋻3802⊪)))","cot":[{"info":"⋰*⋻1109⩨⋰*⋻1542=⋰*⋻-3","layer":3},{"info":"↽≂⋰*⋻-3=⋰*⋻6","layer":2},{"info":"⨵≀≌⋰*⋻4122=⋰*⋻-11366","layer":3},{"info":"⋰*⋻1A2A∑⇟⊟⋰*⋻3A46=NaN","layer":3},{"info":"⋰*⋻-11366+⇶⊼NaN=NaN","layer":2},{"info":"⋰*⋻6⨓NaN=NaN","layer":1},{"info":"⋰*⋻4533*⋰*⋻4116=⋰*⋻17433507","layer":3},{"info":"⋰*⋻1235⨸⪁⋰*⋻1604=⋰*⋻5577","layer":3},{"info":"⋰*⋻17433507≭⋰*⋻5577=NaN","layer":2},{"info":"⋰*⋻3802⊪=⋰*⋻0","layer":3},{"info":"↽≂⋰*⋻0=⋰*⋻0","layer":2},{"info":"NaN⪨≂⋰*⋻0=NaN","layer":1},{"info":"NaN⪨≂NaN=NaN","layer":0}]}
{"id":937,"expression_no_base_symbol":"(⇁⨣⪵($1052$↺$1026$)⨟⋌⩍(⫓⪴$6341$))⊴(($4370$≧⫂∧$7834$-$2470$⩨$2370$)⫸⊐($3926$⨐⩸⫘$1919$)↬(∂$1452$))","expression":"(⇁⨣⪵(⋰*⋻877↺⋰*⋻853)⨟⋌⩍(⫓⪴⋰*⋻4845))⊴((⋰*⋻3313≧⫂∧⋰*⋻5982-⋰*⋻1946⩨⋰*⋻1865)⫸⊐(⋰*⋻2A4A⨐⩸⫘⋰*⋻1495)↬(∂⋰*⋻1100))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6383,"operation_count":12,"complexity_ratio":531.9166666666666,"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":1052,"base":11},"right_expr":{"type":"numeric_atoms","value":1026,"base":11}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":6341,"base":11}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4370,"base":11},"right_expr":{"type":"numeric_atoms","value":7834,"base":11}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2470,"base":11},"right_expr":{"type":"numeric_atoms","value":2370,"base":11}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3926,"base":11},"right_expr":{"type":"numeric_atoms","value":1919,"base":11}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1452,"base":11}}}}},"used_operators":["Nsiff2A1zJ","inkyxCbjAn","rGHVDoGpnC","7j4O788W3g","eLxqMNBOBk","mqXw5SEYmG","rysDP5nf3Z","Ph9nP6C5qx","2DlMacCsIx","B5M0gjZbta","fu6greOZ01","Uaa54Peajs"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","B5M0gjZbta","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rGHVDoGpnC","3ViojmjbAp","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1052","layer":4},{"info":"number node, value=1026","layer":4},{"info":"compute binary expreesion, left_input=1052, right_input=1026, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1026","layer":3},{"info":"number node, value=6341","layer":4},{"info":"compute unary expreesion, input=6341, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=40208281","layer":3},{"info":"compute binary expreesion, left_input=1026, right_input=40208281, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=4370","layer":4},{"info":"number node, value=7834","layer":4},{"info":"compute binary expreesion, left_input=4370, right_input=7834, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=7361","layer":3},{"info":"number node, value=2470","layer":4},{"info":"number node, value=2370","layer":4},{"info":"compute binary expreesion, left_input=2470, right_input=2370, 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=7361, right_input=0, op_id = rysDP5nf3Z binary_op_definition= 'None', output=7361","layer":2},{"info":"number node, value=3926","layer":4},{"info":"number node, value=1919","layer":4},{"info":"compute binary expreesion, left_input=3926, right_input=1919, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1452","layer":4},{"info":"compute unary expreesion, input=1452, 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 = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=7361, 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=nan, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⇁⨣⪵(⋰*⋻877↺⋰*⋻853)⨟⋌⩍(⫓⪴⋰*⋻4845))⊴((⋰*⋻3313≧⫂∧⋰*⋻5982-⋰*⋻1946⩨⋰*⋻1865)⫸⊐(⋰*⋻2A4A⨐⩸⫘⋰*⋻1495)↬(∂⋰*⋻1100))=NaN","reverse_text":"NaN=(⇁⨣⪵(⋰*⋻877↺⋰*⋻853)⨟⋌⩍(⫓⪴⋰*⋻4845))⊴((⋰*⋻3313≧⫂∧⋰*⋻5982-⋰*⋻1946⩨⋰*⋻1865)⫸⊐(⋰*⋻2A4A⨐⩸⫘⋰*⋻1495)↬(∂⋰*⋻1100))","cot":[{"info":"⋰*⋻877↺⋰*⋻853=⋰*⋻853","layer":3},{"info":"⫓⪴⋰*⋻4845=⋰*⋻20773093","layer":3},{"info":"⋰*⋻853⨟⋌⩍⋰*⋻20773093=NaN","layer":2},{"info":"⇁⨣⪵NaN=NaN","layer":1},{"info":"⋰*⋻3313≧⫂∧⋰*⋻5982=⋰*⋻5592","layer":3},{"info":"⋰*⋻1946⩨⋰*⋻1865=⋰*⋻0","layer":3},{"info":"⋰*⋻5592-⋰*⋻0=⋰*⋻5592","layer":2},{"info":"⋰*⋻2A4A⨐⩸⫘⋰*⋻1495=NaN","layer":3},{"info":"∂⋰*⋻1100=NaN","layer":3},{"info":"NaN↬NaN=NaN","layer":2},{"info":"⋰*⋻5592⫸⊐NaN=NaN","layer":1},{"info":"NaN⊴NaN=NaN","layer":0}]}
{"id":938,"expression_no_base_symbol":"(($6345$⨽$1883$)⪠⩆⊳)⫸⊐($3731$⋥≓≎$9470$⪨≂(≤/$1138$))/(((∂$3176$)+$3056$≧⫂∧$3639$)⪐)","expression":"((⋰*⋻4849⨽⋰*⋻1462)⪠⩆⊳)⫸⊐(⋰*⋻2892⋥≓≎⋰*⋻712A⪨≂(≤/⋰*⋻945))/(((∂⋰*⋻2428)+⋰*⋻2329≧⫂∧⋰*⋻2809)⪐)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6380,"operation_count":11,"complexity_ratio":580.0,"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":6345,"base":11},"right_expr":{"type":"numeric_atoms","value":1883,"base":11}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3731,"base":11},"right_expr":{"type":"numeric_atoms","value":9470,"base":11}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1138,"base":11}}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":3176,"base":11}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3056,"base":11},"right_expr":{"type":"numeric_atoms","value":3639,"base":11}}}}},"used_operators":["XhwjNDsVaA","mqXw5SEYmG","JLbD19bQDL","8HhzD0ZcuI","sdazOOVcIp","Qy55tPpLXF","eLAdDNolq6","eH2TOUuTDT","W4YGzv6Whe","Uaa54Peajs","Ph9nP6C5qx"],"dependent_operators":["rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6345","layer":4},{"info":"number node, value=1883","layer":4},{"info":"compute binary expreesion, left_input=6345, right_input=1883, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-120781410","layer":3},{"info":"compute unary expreesion, input=-120781410, 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=3731","layer":4},{"info":"number node, value=9470","layer":4},{"info":"compute binary expreesion, left_input=3731, right_input=9470, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=15242","layer":3},{"info":"number node, value=1138","layer":4},{"info":"compute unary expreesion, input=1138, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-654","layer":3},{"info":"compute binary expreesion, left_input=15242, right_input=-654, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=31894","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=31894, 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=3176","layer":4},{"info":"compute unary expreesion, input=3176, 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=3056","layer":4},{"info":"number node, value=3639","layer":4},{"info":"compute binary expreesion, left_input=3056, right_input=3639, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3166","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3166, op_id = W4YGzv6Whe binary_op_definition= 'None', 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=0, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻4849⨽⋰*⋻1462)⪠⩆⊳)⫸⊐(⋰*⋻2892⋥≓≎⋰*⋻712A⪨≂(≤/⋰*⋻945))/(((∂⋰*⋻2428)+⋰*⋻2329≧⫂∧⋰*⋻2809)⪐)=NaN","reverse_text":"NaN=((⋰*⋻4849⨽⋰*⋻1462)⪠⩆⊳)⫸⊐(⋰*⋻2892⋥≓≎⋰*⋻712A⪨≂(≤/⋰*⋻945))/(((∂⋰*⋻2428)+⋰*⋻2329≧⫂∧⋰*⋻2809)⪐)","cot":[{"info":"⋰*⋻4849⨽⋰*⋻1462=⋰*⋻-621A5952","layer":3},{"info":"⋰*⋻-621A5952⪠⩆⊳=⋰*⋻0","layer":2},{"info":"⋰*⋻2892⋥≓≎⋰*⋻712A=⋰*⋻104A7","layer":3},{"info":"≤/⋰*⋻945=⋰*⋻-545","layer":3},{"info":"⋰*⋻104A7⪨≂⋰*⋻-545=⋰*⋻21A65","layer":2},{"info":"⋰*⋻0⫸⊐⋰*⋻21A65=⋰*⋻0","layer":1},{"info":"∂⋰*⋻2428=NaN","layer":3},{"info":"⋰*⋻2329≧⫂∧⋰*⋻2809=⋰*⋻2419","layer":3},{"info":"NaN+⋰*⋻2419=NaN","layer":2},{"info":"NaN⪐=NaN","layer":1},{"info":"⋰*⋻0/NaN=NaN","layer":0}]}
{"id":939,"expression_no_base_symbol":"(⊥($2447$%$1778$))⋓((∥⊫$5997$)⫸⊐(⊙↵-$1208$))⊉≛↸((⋗⩬⋾(⊙↵-$2413$))⇼⇔∾($5422$⨎$2261$)∼($2164$↬$3853$))","expression":"(⊥(⋰*⋻1925%⋰*⋻1377))⋓((∥⊫⋰*⋻4562)⫸⊐(⊙↵-⋰*⋻9A9))⊉≛↸((⋗⩬⋾(⊙↵-⋰*⋻18A4))⇼⇔∾(⋰*⋻408A⨎⋰*⋻1776)∼(⋰*⋻1698↬⋰*⋻2993))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":455385,"operation_count":13,"complexity_ratio":35029.61538461538,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2447,"base":11},"right_expr":{"type":"numeric_atoms","value":1778,"base":11}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":5997,"base":11}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1208,"base":11}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2413,"base":11}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5422,"base":11},"right_expr":{"type":"numeric_atoms","value":2261,"base":11}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2164,"base":11},"right_expr":{"type":"numeric_atoms","value":3853,"base":11}}}}},"used_operators":["DZ8iAZOCBD","T2fj7uvVaJ","Q3PJZHRvZv","k8jYdgA6NY","mqXw5SEYmG","P8v4zCKN1o","oWn0xqSxBt","tifHPKVTfV","DpFCA1CohY","DyGG3AbaNP","rJVOvQCfKK","B5M0gjZbta"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","fu6greOZ01","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rGHVDoGpnC"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2447","layer":4},{"info":"number node, value=1778","layer":4},{"info":"compute binary expreesion, left_input=2447, right_input=1778, op_id = k8jYdgA6NY binary_op_definition= 'None', output=669","layer":3},{"info":"compute unary expreesion, input=669, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=-672","layer":2},{"info":"number node, value=5997","layer":4},{"info":"compute unary expreesion, input=5997, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=6865","layer":3},{"info":"number node, value=1208","layer":4},{"info":"compute unary expreesion, input=1208, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=6865, right_input=-1, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-129","layer":2},{"info":"compute binary expreesion, left_input=-672, right_input=-129, op_id = T2fj7uvVaJ binary_op_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=2413","layer":4},{"info":"compute unary expreesion, input=2413, 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 = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=3","layer":2},{"info":"number node, value=5422","layer":4},{"info":"number node, value=2261","layer":4},{"info":"compute binary expreesion, left_input=5422, right_input=2261, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2261","layer":3},{"info":"number node, value=2164","layer":4},{"info":"number node, value=3853","layer":4},{"info":"compute binary expreesion, left_input=2164, right_input=3853, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=2261, 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=3, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=0","layer":0}],"base":11,"result_base":11,"text":"(⊥(⋰*⋻1925%⋰*⋻1377))⋓((∥⊫⋰*⋻4562)⫸⊐(⊙↵-⋰*⋻9A9))⊉≛↸((⋗⩬⋾(⊙↵-⋰*⋻18A4))⇼⇔∾(⋰*⋻408A⨎⋰*⋻1776)∼(⋰*⋻1698↬⋰*⋻2993))=⋰*⋻0","reverse_text":"⋰*⋻0=(⊥(⋰*⋻1925%⋰*⋻1377))⋓((∥⊫⋰*⋻4562)⫸⊐(⊙↵-⋰*⋻9A9))⊉≛↸((⋗⩬⋾(⊙↵-⋰*⋻18A4))⇼⇔∾(⋰*⋻408A⨎⋰*⋻1776)∼(⋰*⋻1698↬⋰*⋻2993))","cot":[{"info":"⋰*⋻1925%⋰*⋻1377=⋰*⋻559","layer":3},{"info":"⊥⋰*⋻559=⋰*⋻-561","layer":2},{"info":"∥⊫⋰*⋻4562=⋰*⋻5181","layer":3},{"info":"⊙↵-⋰*⋻9A9=⋰*⋻-1","layer":3},{"info":"⋰*⋻5181⫸⊐⋰*⋻-1=⋰*⋻-108","layer":2},{"info":"⋰*⋻-561⋓⋰*⋻-108=⋰*⋻0","layer":1},{"info":"⊙↵-⋰*⋻18A4=⋰*⋻-1","layer":3},{"info":"⋗⩬⋾⋰*⋻-1=⋰*⋻3","layer":2},{"info":"⋰*⋻408A⨎⋰*⋻1776=⋰*⋻1776","layer":3},{"info":"⋰*⋻1698↬⋰*⋻2993=NaN","layer":3},{"info":"⋰*⋻1776∼NaN=NaN","layer":2},{"info":"⋰*⋻3⇼⇔∾NaN=NaN","layer":1},{"info":"⋰*⋻0⊉≛↸NaN=⋰*⋻0","layer":0}]}
{"id":940,"expression_no_base_symbol":"(≦∁(⊄⩳↩($1883$⊭↱$1231$)))↺($1367$⊘)⊴(↩$1415$)⪮%⊝($1094$⋳⪒$3342$↙($3106$⩨$1525$))","expression":"(≦∁(⊄⩳↩(⋰*⋻1462⊭↱⋰*⋻A1A)))↺(⋰*⋻1033⊘)⊴(↩⋰*⋻1077)⪮%⊝(⋰*⋻905⋳⪒⋰*⋻2569↙(⋰*⋻2374⩨⋰*⋻1167))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8614,"operation_count":11,"complexity_ratio":783.0909090909091,"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":1883,"base":11},"right_expr":{"type":"numeric_atoms","value":1231,"base":11}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1367,"base":11}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1415,"base":11}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1094,"base":11},"right_expr":{"type":"numeric_atoms","value":3342,"base":11}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3106,"base":11},"right_expr":{"type":"numeric_atoms","value":1525,"base":11}}}}},"used_operators":["7j4O788W3g","9ICcGScMcE","8w2t5hMYqp","COABgblf1C","IWmyXbctLI","Nsiff2A1zJ","gu96TGCTMs","jLgFTUHLKL","yyfyN0ffXY","12rbrZMWeM","2DlMacCsIx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","14qkJME0vr","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1883","layer":4},{"info":"number node, value=1231","layer":4},{"info":"compute binary expreesion, left_input=1883, right_input=1231, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-1299","layer":3},{"info":"compute unary expreesion, input=-1299, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=3897","layer":2},{"info":"compute unary expreesion, input=3897, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3897","layer":1},{"info":"number node, value=1367","layer":4},{"info":"compute unary expreesion, input=1367, 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=1415","layer":4},{"info":"compute unary expreesion, input=1415, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-8540","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-8540, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=1094","layer":4},{"info":"number node, value=3342","layer":4},{"info":"compute binary expreesion, left_input=1094, right_input=3342, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-1441","layer":3},{"info":"number node, value=3106","layer":4},{"info":"number node, value=1525","layer":4},{"info":"compute binary expreesion, left_input=3106, right_input=1525, 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=-1441, right_input=0, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-1441","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1441, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3897, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(≦∁(⊄⩳↩(⋰*⋻1462⊭↱⋰*⋻A1A)))↺(⋰*⋻1033⊘)⊴(↩⋰*⋻1077)⪮%⊝(⋰*⋻905⋳⪒⋰*⋻2569↙(⋰*⋻2374⩨⋰*⋻1167))=NaN","reverse_text":"NaN=(≦∁(⊄⩳↩(⋰*⋻1462⊭↱⋰*⋻A1A)))↺(⋰*⋻1033⊘)⊴(↩⋰*⋻1077)⪮%⊝(⋰*⋻905⋳⪒⋰*⋻2569↙(⋰*⋻2374⩨⋰*⋻1167))","cot":[{"info":"⋰*⋻1462⊭↱⋰*⋻A1A=⋰*⋻-A81","layer":3},{"info":"⊄⩳↩⋰*⋻-A81=⋰*⋻2A23","layer":2},{"info":"≦∁⋰*⋻2A23=⋰*⋻2A23","layer":1},{"info":"⋰*⋻1033⊘=⋰*⋻0","layer":3},{"info":"↩⋰*⋻1077=⋰*⋻-6464","layer":3},{"info":"⋰*⋻0⊴⋰*⋻-6464=NaN","layer":2},{"info":"⋰*⋻905⋳⪒⋰*⋻2569=⋰*⋻-10A0","layer":3},{"info":"⋰*⋻2374⩨⋰*⋻1167=⋰*⋻0","layer":3},{"info":"⋰*⋻-10A0↙⋰*⋻0=⋰*⋻-10A0","layer":2},{"info":"NaN⪮%⊝⋰*⋻-10A0=NaN","layer":1},{"info":"⋰*⋻2A23↺NaN=NaN","layer":0}]}
{"id":941,"expression_no_base_symbol":"($2006$⇼⇔∾$1062$⋷$3607$⨟⋌⩍$4753$)⩷∴((↣≠⋷$7135$)⪐)⫥∨⫟((↩(⊙↵-$7511$))⋳⪒($1992$/$5181$)⨟⋌⩍($7910$⇷$3842$))","expression":"(⋰*⋻1564⇼⇔∾⋰*⋻886⋷⋰*⋻278A⨟⋌⩍⋰*⋻3631)⩷∴((↣≠⋷⋰*⋻53A7)⪐)⫥∨⫟((↩(⊙↵-⋰*⋻5709))⋳⪒(⋰*⋻1551/⋰*⋻3990)⨟⋌⩍(⋰*⋻5A41⇷⋰*⋻2983))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":118501,"operation_count":13,"complexity_ratio":9115.461538461539,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2006,"base":11},"right_expr":{"type":"numeric_atoms","value":1062,"base":11}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3607,"base":11},"right_expr":{"type":"numeric_atoms","value":4753,"base":11}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":7135,"base":11}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":7511,"base":11}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1992,"base":11},"right_expr":{"type":"numeric_atoms","value":5181,"base":11}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":7910,"base":11},"right_expr":{"type":"numeric_atoms","value":3842,"base":11}}}}},"used_operators":["KYD54nUTWz","9FxExcQeMw","23Mk6UjR3U","tifHPKVTfV","rGHVDoGpnC","eH2TOUuTDT","Asc51vEJeQ","12rbrZMWeM","jLgFTUHLKL","oWn0xqSxBt","XhwjNDsVaA","mp7IySMOzn"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2006","layer":4},{"info":"number node, value=1062","layer":4},{"info":"compute binary expreesion, left_input=2006, right_input=1062, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-944","layer":3},{"info":"number node, value=3607","layer":4},{"info":"number node, value=4753","layer":4},{"info":"compute binary expreesion, left_input=3607, right_input=4753, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=-944, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1888","layer":2},{"info":"number node, value=7135","layer":4},{"info":"compute unary expreesion, input=7135, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/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":"compute binary expreesion, left_input=1888, 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=7511","layer":4},{"info":"compute unary expreesion, input=7511, 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 = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=4856","layer":2},{"info":"number node, value=1992","layer":4},{"info":"number node, value=5181","layer":4},{"info":"compute binary expreesion, left_input=1992, right_input=5181, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=7910","layer":4},{"info":"number node, value=3842","layer":4},{"info":"compute binary expreesion, left_input=7910, right_input=3842, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=7684","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=7684, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=4856, 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 = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1564⇼⇔∾⋰*⋻886⋷⋰*⋻278A⨟⋌⩍⋰*⋻3631)⩷∴((↣≠⋷⋰*⋻53A7)⪐)⫥∨⫟((↩(⊙↵-⋰*⋻5709))⋳⪒(⋰*⋻1551/⋰*⋻3990)⨟⋌⩍(⋰*⋻5A41⇷⋰*⋻2983))=NaN","reverse_text":"NaN=(⋰*⋻1564⇼⇔∾⋰*⋻886⋷⋰*⋻278A⨟⋌⩍⋰*⋻3631)⩷∴((↣≠⋷⋰*⋻53A7)⪐)⫥∨⫟((↩(⊙↵-⋰*⋻5709))⋳⪒(⋰*⋻1551/⋰*⋻3990)⨟⋌⩍(⋰*⋻5A41⇷⋰*⋻2983))","cot":[{"info":"⋰*⋻1564⇼⇔∾⋰*⋻886=⋰*⋻-789","layer":3},{"info":"⋰*⋻278A⨟⋌⩍⋰*⋻3631=NaN","layer":3},{"info":"⋰*⋻-789⋷NaN=⋰*⋻1467","layer":2},{"info":"↣≠⋷⋰*⋻53A7=NaN","layer":3},{"info":"NaN⪐=NaN","layer":2},{"info":"⋰*⋻1467⩷∴NaN=NaN","layer":1},{"info":"⊙↵-⋰*⋻5709=⋰*⋻-1","layer":3},{"info":"↩⋰*⋻-1=⋰*⋻3715","layer":2},{"info":"⋰*⋻1551/⋰*⋻3990=⋰*⋻0","layer":3},{"info":"⋰*⋻5A41⇷⋰*⋻2983=⋰*⋻5856","layer":3},{"info":"⋰*⋻0⨟⋌⩍⋰*⋻5856=NaN","layer":2},{"info":"⋰*⋻3715⋳⪒NaN=NaN","layer":1},{"info":"NaN⫥∨⫟NaN=NaN","layer":0}]}
{"id":942,"expression_no_base_symbol":"($1536$⋳⪒$9100$⊉≛↸(↣≠⋷$1233$))∀⇚≩(⨵≀≌($3987$/$6217$))↪⪝","expression":"(⋰*⋻1177⋳⪒⋰*⋻6923⊉≛↸(↣≠⋷⋰*⋻A21))∀⇚≩(⨵≀≌(⋰*⋻2AA5/⋰*⋻4742))↪⪝","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":27,"operation_count":7,"complexity_ratio":3.857142857142857,"tree":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1536,"base":11},"right_expr":{"type":"numeric_atoms","value":9100,"base":11}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1233,"base":11}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3987,"base":11},"right_expr":{"type":"numeric_atoms","value":6217,"base":11}}}}},"used_operators":["l07mrZUIn9","LRNGc0VcxI","DZ8iAZOCBD","12rbrZMWeM","Asc51vEJeQ","srAu1WTS94","XhwjNDsVaA"],"dependent_operators":["9HNa5Wba9A","2DDjHMKMc0","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1536","layer":4},{"info":"number node, value=9100","layer":4},{"info":"compute binary expreesion, left_input=1536, right_input=9100, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-6315","layer":3},{"info":"number node, value=1233","layer":4},{"info":"compute unary expreesion, input=1233, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-6315, 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=3987","layer":4},{"info":"number node, value=6217","layer":4},{"info":"compute binary expreesion, left_input=3987, right_input=6217, op_id = XhwjNDsVaA binary_op_definition= 'None', 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 = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1177⋳⪒⋰*⋻6923⊉≛↸(↣≠⋷⋰*⋻A21))∀⇚≩(⨵≀≌(⋰*⋻2AA5/⋰*⋻4742))↪⪝=NaN","reverse_text":"NaN=(⋰*⋻1177⋳⪒⋰*⋻6923⊉≛↸(↣≠⋷⋰*⋻A21))∀⇚≩(⨵≀≌(⋰*⋻2AA5/⋰*⋻4742))↪⪝","cot":[{"info":"⋰*⋻1177⋳⪒⋰*⋻6923=⋰*⋻-4821","layer":3},{"info":"↣≠⋷⋰*⋻A21=NaN","layer":3},{"info":"⋰*⋻-4821⊉≛↸NaN=NaN","layer":2},{"info":"⋰*⋻2AA5/⋰*⋻4742=⋰*⋻0","layer":3},{"info":"⨵≀≌⋰*⋻0=⋰*⋻0","layer":2},{"info":"NaN∀⇚≩⋰*⋻0=NaN","layer":1},{"info":"NaN↪⪝=NaN","layer":0}]}
{"id":943,"expression_no_base_symbol":"($2509$⪨≂$3876$)⇷($5418$⫌⩹⨱)⨰($1018$⋓$6324$)⊴($1571$⋷$3543$)⨎((+⊝⨔($6102$⫥∨⫟$3897$))⨐⩸⫘($7326$∲⫓$1742$)⪮%⊝($4779$+⇶⊼$4176$))","expression":"(⋰*⋻1981⪨≂⋰*⋻2A04)⇷(⋰*⋻4086⫌⩹⨱)⨰(⋰*⋻846⋓⋰*⋻482A)⊴(⋰*⋻11A9⋷⋰*⋻2731)⨎((+⊝⨔(⋰*⋻4648⫥∨⫟⋰*⋻2A23))⨐⩸⫘(⋰*⋻5560∲⫓⋰*⋻1344)⪮%⊝(⋰*⋻3655+⇶⊼⋰*⋻3157))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":42597,"operation_count":14,"complexity_ratio":3042.6428571428573,"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":2509,"base":11},"right_expr":{"type":"numeric_atoms","value":3876,"base":11}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":5418,"base":11}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1018,"base":11},"right_expr":{"type":"numeric_atoms","value":6324,"base":11}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1571,"base":11},"right_expr":{"type":"numeric_atoms","value":3543,"base":11}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":6102,"base":11},"right_expr":{"type":"numeric_atoms","value":3897,"base":11}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":7326,"base":11},"right_expr":{"type":"numeric_atoms","value":1742,"base":11}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4779,"base":11},"right_expr":{"type":"numeric_atoms","value":4176,"base":11}}}}},"used_operators":["rJVOvQCfKK","eewbuw0ToL","mp7IySMOzn","sdazOOVcIp","EBcxylXtPf","Nsiff2A1zJ","T2fj7uvVaJ","23Mk6UjR3U","fu6greOZ01","DhbWaqg5eL","KYD54nUTWz","IWmyXbctLI","i8ToyICDmI","TpPTUOHfaN"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2509","layer":4},{"info":"number node, value=3876","layer":4},{"info":"compute binary expreesion, left_input=2509, right_input=3876, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-2632","layer":3},{"info":"number node, value=5418","layer":4},{"info":"compute unary expreesion, input=5418, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=12237","layer":3},{"info":"compute binary expreesion, left_input=-2632, right_input=12237, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=24474","layer":2},{"info":"number node, value=1018","layer":4},{"info":"number node, value=6324","layer":4},{"info":"compute binary expreesion, left_input=1018, right_input=6324, op_id = T2fj7uvVaJ binary_op_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=1571","layer":4},{"info":"number node, value=3543","layer":4},{"info":"compute binary expreesion, left_input=1571, right_input=3543, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=5515","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5515, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=24474, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"number node, value=6102","layer":4},{"info":"number node, value=3897","layer":4},{"info":"compute binary expreesion, left_input=6102, right_input=3897, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":2},{"info":"number node, value=7326","layer":4},{"info":"number node, value=1742","layer":4},{"info":"compute binary expreesion, left_input=7326, right_input=1742, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=4779","layer":4},{"info":"number node, value=4176","layer":4},{"info":"compute binary expreesion, left_input=4779, right_input=4176, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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 = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1522, 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 = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1981⪨≂⋰*⋻2A04)⇷(⋰*⋻4086⫌⩹⨱)⨰(⋰*⋻846⋓⋰*⋻482A)⊴(⋰*⋻11A9⋷⋰*⋻2731)⨎((+⊝⨔(⋰*⋻4648⫥∨⫟⋰*⋻2A23))⨐⩸⫘(⋰*⋻5560∲⫓⋰*⋻1344)⪮%⊝(⋰*⋻3655+⇶⊼⋰*⋻3157))=NaN","reverse_text":"NaN=(⋰*⋻1981⪨≂⋰*⋻2A04)⇷(⋰*⋻4086⫌⩹⨱)⨰(⋰*⋻846⋓⋰*⋻482A)⊴(⋰*⋻11A9⋷⋰*⋻2731)⨎((+⊝⨔(⋰*⋻4648⫥∨⫟⋰*⋻2A23))⨐⩸⫘(⋰*⋻5560∲⫓⋰*⋻1344)⪮%⊝(⋰*⋻3655+⇶⊼⋰*⋻3157))","cot":[{"info":"⋰*⋻1981⪨≂⋰*⋻2A04=⋰*⋻-1A83","layer":3},{"info":"⋰*⋻4086⫌⩹⨱=⋰*⋻9215","layer":3},{"info":"⋰*⋻-1A83⇷⋰*⋻9215=⋰*⋻1742A","layer":2},{"info":"⋰*⋻846⋓⋰*⋻482A=⋰*⋻0","layer":3},{"info":"⋰*⋻11A9⋷⋰*⋻2731=⋰*⋻4164","layer":3},{"info":"⋰*⋻0⊴⋰*⋻4164=NaN","layer":2},{"info":"⋰*⋻1742A⨰NaN=NaN","layer":1},{"info":"⋰*⋻4648⫥∨⫟⋰*⋻2A23=NaN","layer":3},{"info":"+⊝⨔NaN=⋰*⋻1164","layer":2},{"info":"⋰*⋻5560∲⫓⋰*⋻1344=⋰*⋻0","layer":3},{"info":"⋰*⋻3655+⇶⊼⋰*⋻3157=NaN","layer":3},{"info":"⋰*⋻0⪮%⊝NaN=NaN","layer":2},{"info":"⋰*⋻1164⨐⩸⫘NaN=NaN","layer":1},{"info":"NaN⨎NaN=NaN","layer":0}]}
{"id":944,"expression_no_base_symbol":"((↣≠⋷($2371$≭$2787$))⨵⪆(⨰⫟⨤($2007$/$6550$)))⩚⊴⇥(↣≠⋷((⋗⩬⋾$1413$)↺$1713$∀⇚≩$2248$))","expression":"((↣≠⋷(⋰*⋻1866≭⋰*⋻2104))⨵⪆(⨰⫟⨤(⋰*⋻1565/⋰*⋻4A15)))⩚⊴⇥(↣≠⋷((⋗⩬⋾⋰*⋻1075)↺⋰*⋻1318∀⇚≩⋰*⋻1764))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":12902,"operation_count":10,"complexity_ratio":1290.2,"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":2371,"base":11},"right_expr":{"type":"numeric_atoms","value":2787,"base":11}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2007,"base":11},"right_expr":{"type":"numeric_atoms","value":6550,"base":11}}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1413,"base":11}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1713,"base":11},"right_expr":{"type":"numeric_atoms","value":2248,"base":11}}}}},"used_operators":["NTOWxs364D","2DQ55sFlQl","Asc51vEJeQ","rxpJgHHUmx","Tw270M8GLb","XhwjNDsVaA","7j4O788W3g","DpFCA1CohY","LRNGc0VcxI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","AHs5Up7iyr","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2371","layer":4},{"info":"number node, value=2787","layer":4},{"info":"compute binary expreesion, left_input=2371, right_input=2787, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=2007","layer":4},{"info":"number node, value=6550","layer":4},{"info":"compute binary expreesion, left_input=2007, right_input=6550, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=4492662","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4492662, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=1413","layer":4},{"info":"compute unary expreesion, input=1413, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-4239","layer":3},{"info":"number node, value=1713","layer":4},{"info":"number node, value=2248","layer":4},{"info":"compute binary expreesion, left_input=1713, right_input=2248, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=-4239, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((↣≠⋷(⋰*⋻1866≭⋰*⋻2104))⨵⪆(⨰⫟⨤(⋰*⋻1565/⋰*⋻4A15)))⩚⊴⇥(↣≠⋷((⋗⩬⋾⋰*⋻1075)↺⋰*⋻1318∀⇚≩⋰*⋻1764))=NaN","reverse_text":"NaN=((↣≠⋷(⋰*⋻1866≭⋰*⋻2104))⨵⪆(⨰⫟⨤(⋰*⋻1565/⋰*⋻4A15)))⩚⊴⇥(↣≠⋷((⋗⩬⋾⋰*⋻1075)↺⋰*⋻1318∀⇚≩⋰*⋻1764))","cot":[{"info":"⋰*⋻1866≭⋰*⋻2104=NaN","layer":3},{"info":"↣≠⋷NaN=NaN","layer":2},{"info":"⋰*⋻1565/⋰*⋻4A15=⋰*⋻0","layer":3},{"info":"⨰⫟⨤⋰*⋻0=⋰*⋻2599449","layer":2},{"info":"NaN⨵⪆⋰*⋻2599449=⋰*⋻136","layer":1},{"info":"⋗⩬⋾⋰*⋻1075=⋰*⋻-3204","layer":3},{"info":"⋰*⋻1318∀⇚≩⋰*⋻1764=NaN","layer":3},{"info":"⋰*⋻-3204↺NaN=NaN","layer":2},{"info":"↣≠⋷NaN=NaN","layer":1},{"info":"⋰*⋻136⩚⊴⇥NaN=NaN","layer":0}]}
{"id":945,"expression_no_base_symbol":"↣≠⋷($5485$⨽$5785$⫸⊐$1935$⋥≓≎$1750$∲⫓($3563$⨰$4160$⪠⩆⊳))","expression":"↣≠⋷(⋰*⋻4137⨽⋰*⋻438A⫸⊐⋰*⋻14AA⋥≓≎⋰*⋻1351∲⫓(⋰*⋻274A⨰⋰*⋻3142⪠⩆⊳))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":942541,"operation_count":7,"complexity_ratio":134648.7142857143,"tree":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":5485,"base":11},"right_expr":{"type":"numeric_atoms","value":5785,"base":11}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1935,"base":11},"right_expr":{"type":"numeric_atoms","value":1750,"base":11}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3563,"base":11},"right_expr":{"type":"numeric_atoms","value":4160,"base":11}}}}},"used_operators":["Asc51vEJeQ","i8ToyICDmI","mqXw5SEYmG","8HhzD0ZcuI","Qy55tPpLXF","JLbD19bQDL","eewbuw0ToL"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5485","layer":4},{"info":"number node, value=5785","layer":4},{"info":"compute binary expreesion, left_input=5485, right_input=5785, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-90271716","layer":3},{"info":"number node, value=1935","layer":4},{"info":"number node, value=1750","layer":4},{"info":"compute binary expreesion, left_input=1935, right_input=1750, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1598","layer":3},{"info":"compute binary expreesion, left_input=-90271716, right_input=1598, 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=3563","layer":4},{"info":"number node, value=4160","layer":4},{"info":"compute binary expreesion, left_input=3563, right_input=4160, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-587","layer":3},{"info":"compute unary expreesion, input=-587, 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=968, right_input=0, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=968","layer":1},{"info":"compute unary expreesion, input=968, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"↣≠⋷(⋰*⋻4137⨽⋰*⋻438A⫸⊐⋰*⋻14AA⋥≓≎⋰*⋻1351∲⫓(⋰*⋻274A⨰⋰*⋻3142⪠⩆⊳))=NaN","reverse_text":"NaN=↣≠⋷(⋰*⋻4137⨽⋰*⋻438A⫸⊐⋰*⋻14AA⋥≓≎⋰*⋻1351∲⫓(⋰*⋻274A⨰⋰*⋻3142⪠⩆⊳))","cot":[{"info":"⋰*⋻4137⨽⋰*⋻438A=⋰*⋻-46A57527","layer":3},{"info":"⋰*⋻14AA⋥≓≎⋰*⋻1351=⋰*⋻1223","layer":3},{"info":"⋰*⋻-46A57527⫸⊐⋰*⋻1223=⋰*⋻800","layer":2},{"info":"⋰*⋻274A⨰⋰*⋻3142=⋰*⋻-494","layer":3},{"info":"⋰*⋻-494⪠⩆⊳=⋰*⋻0","layer":2},{"info":"⋰*⋻800∲⫓⋰*⋻0=⋰*⋻800","layer":1},{"info":"↣≠⋷⋰*⋻800=NaN","layer":0}]}
{"id":946,"expression_no_base_symbol":"((↯⪼($3012$↬$1361$))⩤)⪨≂(≦∁$2509$⨽$1212$)*(↩($2259$⊉≛↸$2539$))","expression":"((↯⪼(⋰*⋻2299↬⋰*⋻1028))⩤)⪨≂(≦∁⋰*⋻1981⨽⋰*⋻A02)*(↩(⋰*⋻1774⊉≛↸⋰*⋻19A9))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":65416,"operation_count":9,"complexity_ratio":7268.444444444444,"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":3012,"base":11},"right_expr":{"type":"numeric_atoms","value":1361,"base":11}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2509,"base":11},"right_expr":{"type":"numeric_atoms","value":1212,"base":11}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2259,"base":11},"right_expr":{"type":"numeric_atoms","value":2539,"base":11}}}}},"used_operators":["sdazOOVcIp","Z2TMIBDE3Q","8jW3W4yZS5","B5M0gjZbta","9HNa5Wba9A","9ICcGScMcE","8HhzD0ZcuI","jLgFTUHLKL","DZ8iAZOCBD"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rGHVDoGpnC","W4YGzv6Whe","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻2584083","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3012","layer":4},{"info":"number node, value=1361","layer":4},{"info":"compute binary expreesion, left_input=3012, right_input=1361, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = 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=2509","layer":4},{"info":"number node, value=1212","layer":4},{"info":"compute binary expreesion, left_input=2509, right_input=1212, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-18887565","layer":3},{"info":"compute unary expreesion, input=-18887565, 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=2259","layer":4},{"info":"number node, value=2539","layer":4},{"info":"compute binary expreesion, left_input=2259, right_input=2539, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4518","layer":3},{"info":"compute unary expreesion, input=4518, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-33364","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-33364, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-2235388","layer":1},{"info":"compute binary expreesion, left_input=21, right_input=-2235388, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=4470920","layer":0}],"base":11,"result_base":11,"text":"((↯⪼(⋰*⋻2299↬⋰*⋻1028))⩤)⪨≂(≦∁⋰*⋻1981⨽⋰*⋻A02)*(↩(⋰*⋻1774⊉≛↸⋰*⋻19A9))=⋰*⋻2584083","reverse_text":"⋰*⋻2584083=((↯⪼(⋰*⋻2299↬⋰*⋻1028))⩤)⪨≂(≦∁⋰*⋻1981⨽⋰*⋻A02)*(↩(⋰*⋻1774⊉≛↸⋰*⋻19A9))","cot":[{"info":"⋰*⋻2299↬⋰*⋻1028=NaN","layer":3},{"info":"↯⪼NaN=⋰*⋻-1A","layer":2},{"info":"⋰*⋻-1A⩤=⋰*⋻1A","layer":1},{"info":"⋰*⋻1981⨽⋰*⋻A02=⋰*⋻-A730564","layer":3},{"info":"≦∁⋰*⋻-A730564=⋰*⋻61","layer":2},{"info":"⋰*⋻1774⊉≛↸⋰*⋻19A9=⋰*⋻3438","layer":3},{"info":"↩⋰*⋻3438=⋰*⋻-23081","layer":2},{"info":"⋰*⋻61*⋰*⋻-23081=⋰*⋻-1297531","layer":1},{"info":"⋰*⋻1A⪨≂⋰*⋻-1297531=⋰*⋻2584083","layer":0}]}
{"id":947,"expression_no_base_symbol":"(⨞⊢$1426$⨪↰⇹$1155$⋳⪒(⨞⊢$5901$))⩷∴((⪝⪂⫅($2753$⨐⩸⫘$2281$))↺($8092$⫡⨏$2277$)⇷($1960$⨐⩸⫘$1596$))","expression":"(⨞⊢⋰*⋻1087⨪↰⇹⋰*⋻960⋳⪒(⨞⊢⋰*⋻4485))⩷∴((⪝⪂⫅(⋰*⋻2083⨐⩸⫘⋰*⋻1794))↺(⋰*⋻6097⫡⨏⋰*⋻1790)⇷(⋰*⋻1522⨐⩸⫘⋰*⋻1221))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":642622,"operation_count":11,"complexity_ratio":58420.181818181816,"tree":{"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":11},"right_expr":{"type":"numeric_atoms","value":1155,"base":11}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":5901,"base":11}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2753,"base":11},"right_expr":{"type":"numeric_atoms","value":2281,"base":11}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":8092,"base":11},"right_expr":{"type":"numeric_atoms","value":2277,"base":11}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1960,"base":11},"right_expr":{"type":"numeric_atoms","value":1596,"base":11}}}}},"used_operators":["9FxExcQeMw","xUOZtlo3hN","12rbrZMWeM","tmPS8pqC7x","7j4O788W3g","XTarYq4gQB","fu6greOZ01","mp7IySMOzn","QMFrweE19q"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","3ViojmjbAp","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1426","layer":4},{"info":"number node, value=1155","layer":4},{"info":"compute binary expreesion, left_input=1426, 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=1426","layer":3},{"info":"number node, value=5901","layer":4},{"info":"compute unary expreesion, input=5901, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-6075","layer":3},{"info":"compute binary expreesion, left_input=1426, right_input=-6075, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=8640","layer":2},{"info":"compute unary expreesion, input=8640, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-8814","layer":1},{"info":"number node, value=2753","layer":4},{"info":"number node, value=2281","layer":4},{"info":"compute binary expreesion, left_input=2753, right_input=2281, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":2},{"info":"number node, value=8092","layer":4},{"info":"number node, value=2277","layer":4},{"info":"compute binary expreesion, left_input=8092, right_input=2277, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=45797","layer":3},{"info":"number node, value=1960","layer":4},{"info":"number node, value=1596","layer":4},{"info":"compute binary expreesion, left_input=1960, right_input=1596, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=45797, 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=-8814, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⨞⊢⋰*⋻1087⨪↰⇹⋰*⋻960⋳⪒(⨞⊢⋰*⋻4485))⩷∴((⪝⪂⫅(⋰*⋻2083⨐⩸⫘⋰*⋻1794))↺(⋰*⋻6097⫡⨏⋰*⋻1790)⇷(⋰*⋻1522⨐⩸⫘⋰*⋻1221))=NaN","reverse_text":"NaN=(⨞⊢⋰*⋻1087⨪↰⇹⋰*⋻960⋳⪒(⨞⊢⋰*⋻4485))⩷∴((⪝⪂⫅(⋰*⋻2083⨐⩸⫘⋰*⋻1794))↺(⋰*⋻6097⫡⨏⋰*⋻1790)⇷(⋰*⋻1522⨐⩸⫘⋰*⋻1221))","cot":[{"info":"⋰*⋻1087⨪↰⇹⋰*⋻960=⋰*⋻1087","layer":3},{"info":"⨞⊢⋰*⋻4485=⋰*⋻-4623","layer":3},{"info":"⋰*⋻1087⋳⪒⋰*⋻-4623=⋰*⋻6545","layer":2},{"info":"⨞⊢⋰*⋻6545=⋰*⋻-6693","layer":1},{"info":"⋰*⋻2083⨐⩸⫘⋰*⋻1794=NaN","layer":3},{"info":"⪝⪂⫅NaN=NaN","layer":2},{"info":"⋰*⋻6097⫡⨏⋰*⋻1790=⋰*⋻31454","layer":3},{"info":"⋰*⋻1522⨐⩸⫘⋰*⋻1221=NaN","layer":3},{"info":"⋰*⋻31454⇷NaN=NaN","layer":2},{"info":"NaN↺NaN=NaN","layer":1},{"info":"⋰*⋻-6693⩷∴NaN=NaN","layer":0}]}
{"id":948,"expression_no_base_symbol":"+⊝⨔(≉($4783$⩷∴$1008$⇼⇔∾(↯⪼$1990$)))","expression":"+⊝⨔(≉(⋰*⋻3659⩷∴⋰*⋻837⇼⇔∾(↯⪼⋰*⋻154A)))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":60,"operation_count":5,"complexity_ratio":12.0,"tree":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4783,"base":11},"right_expr":{"type":"numeric_atoms","value":1008,"base":11}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1990,"base":11}}}}},"used_operators":["DhbWaqg5eL","e1ybzncUwg","tifHPKVTfV","9FxExcQeMw","8jW3W4yZS5"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"⋰*⋻1164","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4783","layer":4},{"info":"number node, value=1008","layer":4},{"info":"compute binary expreesion, left_input=4783, right_input=1008, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=7518","layer":3},{"info":"number node, value=1990","layer":4},{"info":"compute unary expreesion, input=1990, 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=7518, right_input=-21, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-7539","layer":2},{"info":"compute unary expreesion, input=-7539, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-7539","layer":1},{"info":"compute unary expreesion, input=-7539, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":0}],"base":11,"result_base":11,"text":"+⊝⨔(≉(⋰*⋻3659⩷∴⋰*⋻837⇼⇔∾(↯⪼⋰*⋻154A)))=⋰*⋻1164","reverse_text":"⋰*⋻1164=+⊝⨔(≉(⋰*⋻3659⩷∴⋰*⋻837⇼⇔∾(↯⪼⋰*⋻154A)))","cot":[{"info":"⋰*⋻3659⩷∴⋰*⋻837=⋰*⋻5715","layer":3},{"info":"↯⪼⋰*⋻154A=⋰*⋻-1A","layer":3},{"info":"⋰*⋻5715⇼⇔∾⋰*⋻-1A=⋰*⋻-5734","layer":2},{"info":"≉⋰*⋻-5734=⋰*⋻-5734","layer":1},{"info":"+⊝⨔⋰*⋻-5734=⋰*⋻1164","layer":0}]}
{"id":949,"expression_no_base_symbol":"⨞⊢(($1727$%$1312$)≎⊠⪸($2285$⫸⊐$1787$))∀⇚≩($2676$⩷∴$2644$⇼⇔∾($1114$⊠≄⫣))","expression":"⨞⊢((⋰*⋻1330%⋰*⋻A93)≎⊠⪸(⋰*⋻1798⫸⊐⋰*⋻1385))∀⇚≩(⋰*⋻2013⩷∴⋰*⋻1A94⇼⇔∾(⋰*⋻923⊠≄⫣))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":749392,"operation_count":8,"complexity_ratio":93674.0,"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":1727,"base":11},"right_expr":{"type":"numeric_atoms","value":1312,"base":11}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2285,"base":11},"right_expr":{"type":"numeric_atoms","value":1787,"base":11}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2676,"base":11},"right_expr":{"type":"numeric_atoms","value":2644,"base":11}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1114,"base":11}}}}},"used_operators":["xUOZtlo3hN","LRNGc0VcxI","bJkvcejdHO","k8jYdgA6NY","mqXw5SEYmG","tifHPKVTfV","9FxExcQeMw","DIvbN7qnHd"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1727","layer":4},{"info":"number node, value=1312","layer":4},{"info":"compute binary expreesion, left_input=1727, right_input=1312, op_id = k8jYdgA6NY binary_op_definition= 'None', output=415","layer":3},{"info":"number node, value=2285","layer":4},{"info":"number node, value=1787","layer":4},{"info":"compute binary expreesion, left_input=2285, right_input=1787, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=7023","layer":3},{"info":"compute binary expreesion, left_input=415, right_input=7023, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=107012","layer":2},{"info":"number node, value=2676","layer":4},{"info":"number node, value=2644","layer":4},{"info":"compute binary expreesion, left_input=2676, right_input=2644, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=32","layer":3},{"info":"number node, value=1114","layer":4},{"info":"compute unary expreesion, input=1114, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=32, right_input=0, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-32","layer":2},{"info":"compute binary expreesion, left_input=107012, right_input=-32, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⨞⊢((⋰*⋻1330%⋰*⋻A93)≎⊠⪸(⋰*⋻1798⫸⊐⋰*⋻1385))∀⇚≩(⋰*⋻2013⩷∴⋰*⋻1A94⇼⇔∾(⋰*⋻923⊠≄⫣))=NaN","reverse_text":"NaN=⨞⊢((⋰*⋻1330%⋰*⋻A93)≎⊠⪸(⋰*⋻1798⫸⊐⋰*⋻1385))∀⇚≩(⋰*⋻2013⩷∴⋰*⋻1A94⇼⇔∾(⋰*⋻923⊠≄⫣))","cot":[{"info":"⋰*⋻1330%⋰*⋻A93=⋰*⋻348","layer":3},{"info":"⋰*⋻1798⫸⊐⋰*⋻1385=⋰*⋻5305","layer":3},{"info":"⋰*⋻348≎⊠⪸⋰*⋻5305=⋰*⋻73444","layer":2},{"info":"⋰*⋻2013⩷∴⋰*⋻1A94=⋰*⋻2A","layer":3},{"info":"⋰*⋻923⊠≄⫣=⋰*⋻0","layer":3},{"info":"⋰*⋻2A⇼⇔∾⋰*⋻0=⋰*⋻-2A","layer":2},{"info":"⋰*⋻73444∀⇚≩⋰*⋻-2A=NaN","layer":1},{"info":"⨞⊢NaN=NaN","layer":0}]}
{"id":950,"expression_no_base_symbol":"≤/((⩦⩻⨪(⫓⪴$1031$))⩨($1806$⨐⩸⫘$2248$)⫥∨⫟($1602$⩠))","expression":"≤/((⩦⩻⨪(⫓⪴⋰*⋻858))⩨(⋰*⋻13A2⨐⩸⫘⋰*⋻1764)⫥∨⫟(⋰*⋻1227⩠))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1212,"operation_count":7,"complexity_ratio":173.14285714285714,"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":1031,"base":11}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1806,"base":11},"right_expr":{"type":"numeric_atoms","value":2248,"base":11}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1602,"base":11}}}}},"used_operators":["eLAdDNolq6","2DlMacCsIx","2td37pGCOC","eLxqMNBOBk","KYD54nUTWz","fu6greOZ01","sJAwomhLZr"],"dependent_operators":["rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8HhzD0ZcuI","rGHVDoGpnC","3ViojmjbAp","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1031","layer":4},{"info":"compute unary expreesion, input=1031, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1062961","layer":3},{"info":"compute unary expreesion, input=1062961, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1062961","layer":2},{"info":"number node, value=1806","layer":4},{"info":"number node, value=2248","layer":4},{"info":"compute binary expreesion, left_input=1806, 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=1602","layer":4},{"info":"compute unary expreesion, input=1602, 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 = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1062961, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"≤/((⩦⩻⨪(⫓⪴⋰*⋻858))⩨(⋰*⋻13A2⨐⩸⫘⋰*⋻1764)⫥∨⫟(⋰*⋻1227⩠))=NaN","reverse_text":"NaN=≤/((⩦⩻⨪(⫓⪴⋰*⋻858))⩨(⋰*⋻13A2⨐⩸⫘⋰*⋻1764)⫥∨⫟(⋰*⋻1227⩠))","cot":[{"info":"⫓⪴⋰*⋻858=⋰*⋻666689","layer":3},{"info":"⩦⩻⨪⋰*⋻666689=⋰*⋻666689","layer":2},{"info":"⋰*⋻13A2⨐⩸⫘⋰*⋻1764=NaN","layer":3},{"info":"⋰*⋻1227⩠=⋰*⋻0","layer":3},{"info":"NaN⫥∨⫟⋰*⋻0=NaN","layer":2},{"info":"⋰*⋻666689⩨NaN=NaN","layer":1},{"info":"≤/NaN=NaN","layer":0}]}
{"id":951,"expression_no_base_symbol":"(($6798$⇷$2077$)⨪↰⇹($3466$⨐⩸⫘$1763$)+(↥$2314$∀⇚≩$6950$))≭($1413$⋳⪒$2392$⋳⪒$2519$⪢$2719$)⪮%⊝(⫓⪴($1635$≫≃))","expression":"((⋰*⋻5120⇷⋰*⋻1619)⨪↰⇹(⋰*⋻2671⨐⩸⫘⋰*⋻1363)+(↥⋰*⋻1814∀⇚≩⋰*⋻5249))≭(⋰*⋻1075⋳⪒⋰*⋻1885⋳⪒⋰*⋻1990⪢⋰*⋻2052)⪮%⊝(⫓⪴(⋰*⋻1257≫≃))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":122954,"operation_count":13,"complexity_ratio":9458.0,"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":6798,"base":11},"right_expr":{"type":"numeric_atoms","value":2077,"base":11}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3466,"base":11},"right_expr":{"type":"numeric_atoms","value":1763,"base":11}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2314,"base":11},"right_expr":{"type":"numeric_atoms","value":6950,"base":11}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1413,"base":11},"right_expr":{"type":"numeric_atoms","value":2392,"base":11}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2519,"base":11},"right_expr":{"type":"numeric_atoms","value":2719,"base":11}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1635,"base":11}}}}},"used_operators":["rxpJgHHUmx","W4YGzv6Whe","tmPS8pqC7x","mp7IySMOzn","fu6greOZ01","A8NUZmVepG","LRNGc0VcxI","IWmyXbctLI","12rbrZMWeM","dWAJyo7jo9","eLxqMNBOBk","X99M06cbEe"],"dependent_operators":["AHs5Up7iyr","rJVOvQCfKK","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","3ViojmjbAp","k8jYdgA6NY","X99M06cbEe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","9HNa5Wba9A","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6798","layer":4},{"info":"number node, value=2077","layer":4},{"info":"compute binary expreesion, left_input=6798, right_input=2077, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4154","layer":3},{"info":"number node, value=3466","layer":4},{"info":"number node, value=1763","layer":4},{"info":"compute binary expreesion, left_input=3466, right_input=1763, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=4154, 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=4154","layer":2},{"info":"number node, value=2314","layer":4},{"info":"number node, value=6950","layer":4},{"info":"compute binary expreesion, left_input=2314, right_input=6950, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4154, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1413","layer":4},{"info":"number node, value=2392","layer":4},{"info":"compute binary expreesion, left_input=1413, right_input=2392, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=147","layer":3},{"info":"number node, value=2519","layer":4},{"info":"number node, value=2719","layer":4},{"info":"compute binary expreesion, left_input=2519, right_input=2719, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=147, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"number node, value=1635","layer":4},{"info":"compute unary expreesion, input=1635, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=4671","layer":3},{"info":"compute unary expreesion, input=4671, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=21818241","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=21818241, 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 = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻5120⇷⋰*⋻1619)⨪↰⇹(⋰*⋻2671⨐⩸⫘⋰*⋻1363)+(↥⋰*⋻1814∀⇚≩⋰*⋻5249))≭(⋰*⋻1075⋳⪒⋰*⋻1885⋳⪒⋰*⋻1990⪢⋰*⋻2052)⪮%⊝(⫓⪴(⋰*⋻1257≫≃))=NaN","reverse_text":"NaN=((⋰*⋻5120⇷⋰*⋻1619)⨪↰⇹(⋰*⋻2671⨐⩸⫘⋰*⋻1363)+(↥⋰*⋻1814∀⇚≩⋰*⋻5249))≭(⋰*⋻1075⋳⪒⋰*⋻1885⋳⪒⋰*⋻1990⪢⋰*⋻2052)⪮%⊝(⫓⪴(⋰*⋻1257≫≃))","cot":[{"info":"⋰*⋻5120⇷⋰*⋻1619=⋰*⋻3137","layer":3},{"info":"⋰*⋻2671⨐⩸⫘⋰*⋻1363=NaN","layer":3},{"info":"⋰*⋻3137⨪↰⇹NaN=⋰*⋻3137","layer":2},{"info":"⋰*⋻1814∀⇚≩⋰*⋻5249=NaN","layer":3},{"info":"↥NaN=NaN","layer":2},{"info":"⋰*⋻3137+NaN=NaN","layer":1},{"info":"⋰*⋻1075⋳⪒⋰*⋻1885=⋰*⋻124","layer":3},{"info":"⋰*⋻1990⪢⋰*⋻2052=NaN","layer":3},{"info":"⋰*⋻124⋳⪒NaN=NaN","layer":2},{"info":"⋰*⋻1257≫≃=⋰*⋻3567","layer":3},{"info":"⫓⪴⋰*⋻3567=⋰*⋻11352405","layer":2},{"info":"NaN⪮%⊝⋰*⋻11352405=NaN","layer":1},{"info":"NaN≭NaN=NaN","layer":0}]}
{"id":952,"expression_no_base_symbol":"⫛⫱⨽(($2953$⪄$3032$)⪘⫢($1214$∧)↙(($1499$⨐⩸⫘$4571$)⪠⩆⊳))","expression":"⫛⫱⨽((⋰*⋻2245⪄⋰*⋻2307)⪘⫢(⋰*⋻A04∧)↙((⋰*⋻1143⨐⩸⫘⋰*⋻3486)⪠⩆⊳))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1030,"operation_count":7,"complexity_ratio":147.14285714285714,"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":2953,"base":11},"right_expr":{"type":"numeric_atoms","value":3032,"base":11}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1214,"base":11}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1499,"base":11},"right_expr":{"type":"numeric_atoms","value":4571,"base":11}}}}},"used_operators":["DlLNRPXxWL","yyfyN0ffXY","oacrs7FA3X","SUmda5xLS4","z63VuFQld9","JLbD19bQDL","fu6greOZ01"],"dependent_operators":["rGHVDoGpnC","tmPS8pqC7x","DpFCA1CohY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2953","layer":4},{"info":"number node, value=3032","layer":4},{"info":"compute binary expreesion, left_input=2953, right_input=3032, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-445261","layer":3},{"info":"number node, value=1214","layer":4},{"info":"compute unary expreesion, input=1214, 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=-445261, 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=1499","layer":4},{"info":"number node, value=4571","layer":4},{"info":"compute binary expreesion, left_input=1499, right_input=4571, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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 = 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":"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 = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⫛⫱⨽((⋰*⋻2245⪄⋰*⋻2307)⪘⫢(⋰*⋻A04∧)↙((⋰*⋻1143⨐⩸⫘⋰*⋻3486)⪠⩆⊳))=NaN","reverse_text":"NaN=⫛⫱⨽((⋰*⋻2245⪄⋰*⋻2307)⪘⫢(⋰*⋻A04∧)↙((⋰*⋻1143⨐⩸⫘⋰*⋻3486)⪠⩆⊳))","cot":[{"info":"⋰*⋻2245⪄⋰*⋻2307=⋰*⋻-284593","layer":3},{"info":"⋰*⋻A04∧=NaN","layer":3},{"info":"⋰*⋻-284593⪘⫢NaN=NaN","layer":2},{"info":"⋰*⋻1143⨐⩸⫘⋰*⋻3486=NaN","layer":3},{"info":"NaN⪠⩆⊳=NaN","layer":2},{"info":"NaN↙NaN=NaN","layer":1},{"info":"⫛⫱⨽NaN=NaN","layer":0}]}
{"id":953,"expression_no_base_symbol":"⫛⫱⨽((⫓⪴$1112$↬$3102$)↺(($2224$≦≮≮)↙($4680$⊭↱$1347$)))","expression":"⫛⫱⨽((⫓⪴⋰*⋻921↬⋰*⋻2370)↺((⋰*⋻1742≦≮≮)↙(⋰*⋻3575⊭↱⋰*⋻1015)))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1436,"operation_count":7,"complexity_ratio":205.14285714285714,"tree":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1112,"base":11},"right_expr":{"type":"numeric_atoms","value":3102,"base":11}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":2224,"base":11}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4680,"base":11},"right_expr":{"type":"numeric_atoms","value":1347,"base":11}}}}},"used_operators":["DlLNRPXxWL","7j4O788W3g","eLxqMNBOBk","B5M0gjZbta","yyfyN0ffXY","D4vGDi5EA2","COABgblf1C"],"dependent_operators":["rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","rGHVDoGpnC","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1112","layer":4},{"info":"number node, value=3102","layer":4},{"info":"compute binary expreesion, left_input=1112, right_input=3102, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":2},{"info":"number node, value=2224","layer":4},{"info":"compute unary expreesion, input=2224, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-6672","layer":3},{"info":"number node, value=4680","layer":4},{"info":"number node, value=1347","layer":4},{"info":"compute binary expreesion, left_input=4680, right_input=1347, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-6661","layer":3},{"info":"compute binary expreesion, left_input=-6672, right_input=-6661, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-6672","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-6672, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-6672","layer":1},{"info":"compute unary expreesion, input=-6672, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":0}],"base":11,"result_base":11,"text":"⫛⫱⨽((⫓⪴⋰*⋻921↬⋰*⋻2370)↺((⋰*⋻1742≦≮≮)↙(⋰*⋻3575⊭↱⋰*⋻1015)))=⋰*⋻0","reverse_text":"⋰*⋻0=⫛⫱⨽((⫓⪴⋰*⋻921↬⋰*⋻2370)↺((⋰*⋻1742≦≮≮)↙(⋰*⋻3575⊭↱⋰*⋻1015)))","cot":[{"info":"⋰*⋻921↬⋰*⋻2370=NaN","layer":3},{"info":"⫓⪴NaN=NaN","layer":2},{"info":"⋰*⋻1742≦≮≮=⋰*⋻-5016","layer":3},{"info":"⋰*⋻3575⊭↱⋰*⋻1015=⋰*⋻-5006","layer":3},{"info":"⋰*⋻-5016↙⋰*⋻-5006=⋰*⋻-5016","layer":2},{"info":"NaN↺⋰*⋻-5016=⋰*⋻-5016","layer":1},{"info":"⫛⫱⨽⋰*⋻-5016=⋰*⋻0","layer":0}]}
{"id":954,"expression_no_base_symbol":"((($5510$≋⫹)↙(⨑⩽⪐$1499$))+⇶⊼($6888$≧⫂∧$1585$)∑⇟⊟($1248$≧⫂∧$1402$))∀⇚≩(⊥($2789$⨸⪁$4380$⇼⇔∾$2197$⪢$3339$))","expression":"(((⋰*⋻415A≋⫹)↙(⨑⩽⪐⋰*⋻1143))+⇶⊼(⋰*⋻51A2≧⫂∧⋰*⋻1211)∑⇟⊟(⋰*⋻A35≧⫂∧⋰*⋻1065))∀⇚≩(⊥(⋰*⋻2106⨸⪁⋰*⋻3322⇼⇔∾⋰*⋻1718⪢⋰*⋻2566))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":867220,"operation_count":12,"complexity_ratio":72268.33333333333,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":5510,"base":11}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1499,"base":11}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":6888,"base":11},"right_expr":{"type":"numeric_atoms","value":1585,"base":11}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1248,"base":11},"right_expr":{"type":"numeric_atoms","value":1402,"base":11}}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2789,"base":11},"right_expr":{"type":"numeric_atoms","value":4380,"base":11}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2197,"base":11},"right_expr":{"type":"numeric_atoms","value":3339,"base":11}}}}},"used_operators":["LRNGc0VcxI","TpPTUOHfaN","yyfyN0ffXY","N41Kp7NANJ","AF7qkfDlqP","U7g4x0WXJJ","Ph9nP6C5qx","Q3PJZHRvZv","tifHPKVTfV","g55IO6H4Gj","dWAJyo7jo9"],"dependent_operators":["X99M06cbEe","AHs5Up7iyr","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5510","layer":4},{"info":"compute unary expreesion, input=5510, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-11020","layer":3},{"info":"number node, value=1499","layer":4},{"info":"compute unary expreesion, input=1499, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1226","layer":3},{"info":"compute binary expreesion, left_input=-11020, right_input=-1226, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-11020","layer":2},{"info":"number node, value=6888","layer":4},{"info":"number node, value=1585","layer":4},{"info":"compute binary expreesion, left_input=6888, right_input=1585, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1112","layer":3},{"info":"number node, value=1248","layer":4},{"info":"number node, value=1402","layer":4},{"info":"compute binary expreesion, left_input=1248, right_input=1402, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=929","layer":3},{"info":"compute binary expreesion, left_input=1112, right_input=929, 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=-11020, 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=2789","layer":4},{"info":"number node, value=4380","layer":4},{"info":"compute binary expreesion, left_input=2789, right_input=4380, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=14338","layer":3},{"info":"number node, value=2197","layer":4},{"info":"number node, value=3339","layer":4},{"info":"compute binary expreesion, left_input=2197, right_input=3339, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=14338, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 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":11,"result_base":11,"text":"(((⋰*⋻415A≋⫹)↙(⨑⩽⪐⋰*⋻1143))+⇶⊼(⋰*⋻51A2≧⫂∧⋰*⋻1211)∑⇟⊟(⋰*⋻A35≧⫂∧⋰*⋻1065))∀⇚≩(⊥(⋰*⋻2106⨸⪁⋰*⋻3322⇼⇔∾⋰*⋻1718⪢⋰*⋻2566))=NaN","reverse_text":"NaN=(((⋰*⋻415A≋⫹)↙(⨑⩽⪐⋰*⋻1143))+⇶⊼(⋰*⋻51A2≧⫂∧⋰*⋻1211)∑⇟⊟(⋰*⋻A35≧⫂∧⋰*⋻1065))∀⇚≩(⊥(⋰*⋻2106⨸⪁⋰*⋻3322⇼⇔∾⋰*⋻1718⪢⋰*⋻2566))","cot":[{"info":"⋰*⋻415A≋⫹=⋰*⋻-8309","layer":3},{"info":"⨑⩽⪐⋰*⋻1143=⋰*⋻-A15","layer":3},{"info":"⋰*⋻-8309↙⋰*⋻-A15=⋰*⋻-8309","layer":2},{"info":"⋰*⋻51A2≧⫂∧⋰*⋻1211=⋰*⋻921","layer":3},{"info":"⋰*⋻A35≧⫂∧⋰*⋻1065=⋰*⋻775","layer":3},{"info":"⋰*⋻921∑⇟⊟⋰*⋻775=NaN","layer":2},{"info":"⋰*⋻-8309+⇶⊼NaN=NaN","layer":1},{"info":"⋰*⋻2106⨸⪁⋰*⋻3322=⋰*⋻A855","layer":3},{"info":"⋰*⋻1718⪢⋰*⋻2566=NaN","layer":3},{"info":"⋰*⋻A855⇼⇔∾NaN=NaN","layer":2},{"info":"⊥NaN=NaN","layer":1},{"info":"NaN∀⇚≩NaN=NaN","layer":0}]}
{"id":955,"expression_no_base_symbol":"(⇁⨣⪵(($4629$≣⋋)*($2948$⊉≛↸$1407$)))↙($1739$≎⊠⪸$2087$⪄(⋗⩬⋾$2535$))⪮%⊝($8597$⨐⩸⫘$1438$⇼⇔∾$7832$⪮%⊝$6946$)","expression":"(⇁⨣⪵((⋰*⋻3529≣⋋)*(⋰*⋻2240⊉≛↸⋰*⋻106A)))↙(⋰*⋻1341≎⊠⪸⋰*⋻1628⪄(⋗⩬⋾⋰*⋻19A5))⪮%⊝(⋰*⋻6506⨐⩸⫘⋰*⋻1098⇼⇔∾⋰*⋻5980⪮%⊝⋰*⋻5245)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":907,"operation_count":12,"complexity_ratio":75.58333333333333,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":4629,"base":11}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2948,"base":11},"right_expr":{"type":"numeric_atoms","value":1407,"base":11}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1739,"base":11},"right_expr":{"type":"numeric_atoms","value":2087,"base":11}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":2535,"base":11}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":8597,"base":11},"right_expr":{"type":"numeric_atoms","value":1438,"base":11}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":7832,"base":11},"right_expr":{"type":"numeric_atoms","value":6946,"base":11}}}}},"used_operators":["yyfyN0ffXY","inkyxCbjAn","9HNa5Wba9A","Tcnh7f0tEr","DZ8iAZOCBD","IWmyXbctLI","SUmda5xLS4","bJkvcejdHO","DpFCA1CohY","tifHPKVTfV","fu6greOZ01"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","B5M0gjZbta","W4YGzv6Whe","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4629","layer":4},{"info":"compute unary expreesion, input=4629, 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=2948","layer":4},{"info":"number node, value=1407","layer":4},{"info":"compute binary expreesion, left_input=2948, right_input=1407, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5896","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5896, op_id = 9HNa5Wba9A binary_op_definition= 'None', 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=1739","layer":4},{"info":"number node, value=2087","layer":4},{"info":"compute binary expreesion, left_input=1739, right_input=2087, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=449928","layer":3},{"info":"number node, value=2535","layer":4},{"info":"compute unary expreesion, input=2535, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-7605","layer":3},{"info":"compute binary expreesion, left_input=449928, right_input=-7605, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-66555013","layer":2},{"info":"number node, value=8597","layer":4},{"info":"number node, value=1438","layer":4},{"info":"compute binary expreesion, left_input=8597, right_input=1438, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=7832","layer":4},{"info":"number node, value=6946","layer":4},{"info":"compute binary expreesion, left_input=7832, right_input=6946, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=15980","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=15980, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-66555013, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', 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":11,"result_base":11,"text":"(⇁⨣⪵((⋰*⋻3529≣⋋)*(⋰*⋻2240⊉≛↸⋰*⋻106A)))↙(⋰*⋻1341≎⊠⪸⋰*⋻1628⪄(⋗⩬⋾⋰*⋻19A5))⪮%⊝(⋰*⋻6506⨐⩸⫘⋰*⋻1098⇼⇔∾⋰*⋻5980⪮%⊝⋰*⋻5245)=⋰*⋻0","reverse_text":"⋰*⋻0=(⇁⨣⪵((⋰*⋻3529≣⋋)*(⋰*⋻2240⊉≛↸⋰*⋻106A)))↙(⋰*⋻1341≎⊠⪸⋰*⋻1628⪄(⋗⩬⋾⋰*⋻19A5))⪮%⊝(⋰*⋻6506⨐⩸⫘⋰*⋻1098⇼⇔∾⋰*⋻5980⪮%⊝⋰*⋻5245)","cot":[{"info":"⋰*⋻3529≣⋋=⋰*⋻0","layer":3},{"info":"⋰*⋻2240⊉≛↸⋰*⋻106A=⋰*⋻4480","layer":3},{"info":"⋰*⋻0*⋰*⋻4480=⋰*⋻0","layer":2},{"info":"⇁⨣⪵⋰*⋻0=⋰*⋻0","layer":1},{"info":"⋰*⋻1341≎⊠⪸⋰*⋻1628=⋰*⋻288046","layer":3},{"info":"⋗⩬⋾⋰*⋻19A5=⋰*⋻-5794","layer":3},{"info":"⋰*⋻288046⪄⋰*⋻-5794=⋰*⋻-34628848","layer":2},{"info":"⋰*⋻6506⨐⩸⫘⋰*⋻1098=NaN","layer":3},{"info":"⋰*⋻5980⪮%⊝⋰*⋻5245=⋰*⋻11008","layer":3},{"info":"NaN⇼⇔∾⋰*⋻11008=NaN","layer":2},{"info":"⋰*⋻-34628848⪮%⊝NaN=NaN","layer":1},{"info":"⋰*⋻0↙NaN=⋰*⋻0","layer":0}]}
{"id":956,"expression_no_base_symbol":"(($2595$%$1412$)∲⫓$2435$-$5206$)⨰(($1198$⋷$1320$)↛⩡⫤)⫌⩹⨱","expression":"((⋰*⋻1A4A%⋰*⋻1074)∲⫓⋰*⋻1914-⋰*⋻3A03)⨰((⋰*⋻99A⋷⋰*⋻AA0)↛⩡⫤)⫌⩹⨱","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":4479,"operation_count":7,"complexity_ratio":639.8571428571429,"tree":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2595,"base":11},"right_expr":{"type":"numeric_atoms","value":1412,"base":11}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2435,"base":11},"right_expr":{"type":"numeric_atoms","value":5206,"base":11}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1198,"base":11},"right_expr":{"type":"numeric_atoms","value":1320,"base":11}}}}},"used_operators":["EBcxylXtPf","eewbuw0ToL","i8ToyICDmI","k8jYdgA6NY","rysDP5nf3Z","FU0Cs4j7VP","23Mk6UjR3U"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻275177","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2595","layer":4},{"info":"number node, value=1412","layer":4},{"info":"compute binary expreesion, left_input=2595, right_input=1412, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1183","layer":3},{"info":"number node, value=2435","layer":4},{"info":"number node, value=5206","layer":4},{"info":"compute binary expreesion, left_input=2435, right_input=5206, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-2771","layer":3},{"info":"compute binary expreesion, left_input=1183, right_input=-2771, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=1183","layer":2},{"info":"number node, value=1198","layer":4},{"info":"number node, value=1320","layer":4},{"info":"compute binary expreesion, left_input=1198, right_input=1320, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1442","layer":3},{"info":"compute unary expreesion, input=1442, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-213831","layer":2},{"info":"compute binary expreesion, left_input=1183, right_input=-213831, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=215024","layer":1},{"info":"compute unary expreesion, input=215024, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=431449","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1A4A%⋰*⋻1074)∲⫓⋰*⋻1914-⋰*⋻3A03)⨰((⋰*⋻99A⋷⋰*⋻AA0)↛⩡⫤)⫌⩹⨱=⋰*⋻275177","reverse_text":"⋰*⋻275177=((⋰*⋻1A4A%⋰*⋻1074)∲⫓⋰*⋻1914-⋰*⋻3A03)⨰((⋰*⋻99A⋷⋰*⋻AA0)↛⩡⫤)⫌⩹⨱","cot":[{"info":"⋰*⋻1A4A%⋰*⋻1074=⋰*⋻986","layer":3},{"info":"⋰*⋻1914-⋰*⋻3A03=⋰*⋻-209A","layer":3},{"info":"⋰*⋻986∲⫓⋰*⋻-209A=⋰*⋻986","layer":2},{"info":"⋰*⋻99A⋷⋰*⋻AA0=⋰*⋻10A1","layer":3},{"info":"⋰*⋻10A1↛⩡⫤=⋰*⋻-136722","layer":2},{"info":"⋰*⋻986⨰⋰*⋻-136722=⋰*⋻137607","layer":1},{"info":"⋰*⋻137607⫌⩹⨱=⋰*⋻275177","layer":0}]}
{"id":957,"expression_no_base_symbol":"(↽≂(∥⊫$1188$≹⇙⪍$1998$))↛⩡⫤","expression":"(↽≂(∥⊫⋰*⋻990≹⇙⪍⋰*⋻1557))↛⩡⫤","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":70,"operation_count":4,"complexity_ratio":17.5,"tree":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1188,"base":11},"right_expr":{"type":"numeric_atoms","value":1998,"base":11}}}}},"used_operators":["FU0Cs4j7VP","u6S6b8DprG","P8v4zCKN1o","AHs5Up7iyr"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=1188","layer":4},{"info":"number node, value=1998","layer":4},{"info":"compute binary expreesion, left_input=1188, right_input=1998, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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 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 = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(↽≂(∥⊫⋰*⋻990≹⇙⪍⋰*⋻1557))↛⩡⫤=NaN","reverse_text":"NaN=(↽≂(∥⊫⋰*⋻990≹⇙⪍⋰*⋻1557))↛⩡⫤","cot":[{"info":"⋰*⋻990≹⇙⪍⋰*⋻1557=NaN","layer":3},{"info":"∥⊫NaN=NaN","layer":2},{"info":"↽≂NaN=NaN","layer":1},{"info":"NaN↛⩡⫤=NaN","layer":0}]}
{"id":958,"expression_no_base_symbol":"(((≉$2421$)+⇶⊼(∂$3019$))∑⇟⊟(⊥($2080$⪘⫢$1591$)))⪮%⊝((⪝⪂⫅$3066$⇷$2503$)⨪↰⇹($2610$⊴$3872$⨳⩥⨓$1799$⩷∴$1932$))","expression":"(((≉⋰*⋻1901)+⇶⊼(∂⋰*⋻22A5))∑⇟⊟(⊥(⋰*⋻1621⪘⫢⋰*⋻1217)))⪮%⊝((⪝⪂⫅⋰*⋻2338⇷⋰*⋻1976)⨪↰⇹(⋰*⋻1A63⊴⋰*⋻2A00⨳⩥⨓⋰*⋻1396⩷∴⋰*⋻14A7))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":782879,"operation_count":13,"complexity_ratio":60221.46153846154,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2421,"base":11}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":3019,"base":11}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2080,"base":11},"right_expr":{"type":"numeric_atoms","value":1591,"base":11}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3066,"base":11},"right_expr":{"type":"numeric_atoms","value":2503,"base":11}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2610,"base":11},"right_expr":{"type":"numeric_atoms","value":3872,"base":11}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1799,"base":11},"right_expr":{"type":"numeric_atoms","value":1932,"base":11}}}}},"used_operators":["IWmyXbctLI","U7g4x0WXJJ","TpPTUOHfaN","e1ybzncUwg","Uaa54Peajs","Q3PJZHRvZv","oacrs7FA3X","tmPS8pqC7x","XTarYq4gQB","mp7IySMOzn","nCS4ZIUYfx","Nsiff2A1zJ","9FxExcQeMw"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","fu6greOZ01","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rJVOvQCfKK","9HNa5Wba9A","8w2t5hMYqp","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2421","layer":4},{"info":"compute unary expreesion, input=2421, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2952","layer":3},{"info":"number node, value=3019","layer":4},{"info":"compute unary expreesion, input=3019, 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=2952, 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=2080","layer":4},{"info":"number node, value=1591","layer":4},{"info":"compute binary expreesion, left_input=2080, right_input=1591, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4036","layer":3},{"info":"compute unary expreesion, input=4036, 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 = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=3066","layer":4},{"info":"number node, value=2503","layer":4},{"info":"compute binary expreesion, left_input=3066, right_input=2503, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5006","layer":3},{"info":"compute unary expreesion, input=5006, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-735882","layer":2},{"info":"number node, value=2610","layer":4},{"info":"number node, value=3872","layer":4},{"info":"compute binary expreesion, left_input=2610, right_input=3872, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1799","layer":4},{"info":"number node, value=1932","layer":4},{"info":"compute binary expreesion, left_input=1799, right_input=1932, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-298","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-298, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-735882, 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=-735882","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-735882, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((≉⋰*⋻1901)+⇶⊼(∂⋰*⋻22A5))∑⇟⊟(⊥(⋰*⋻1621⪘⫢⋰*⋻1217)))⪮%⊝((⪝⪂⫅⋰*⋻2338⇷⋰*⋻1976)⨪↰⇹(⋰*⋻1A63⊴⋰*⋻2A00⨳⩥⨓⋰*⋻1396⩷∴⋰*⋻14A7))=NaN","reverse_text":"NaN=(((≉⋰*⋻1901)+⇶⊼(∂⋰*⋻22A5))∑⇟⊟(⊥(⋰*⋻1621⪘⫢⋰*⋻1217)))⪮%⊝((⪝⪂⫅⋰*⋻2338⇷⋰*⋻1976)⨪↰⇹(⋰*⋻1A63⊴⋰*⋻2A00⨳⩥⨓⋰*⋻1396⩷∴⋰*⋻14A7))","cot":[{"info":"≉⋰*⋻1901=⋰*⋻2244","layer":3},{"info":"∂⋰*⋻22A5=NaN","layer":3},{"info":"⋰*⋻2244+⇶⊼NaN=NaN","layer":2},{"info":"⋰*⋻1621⪘⫢⋰*⋻1217=⋰*⋻303A","layer":3},{"info":"⊥⋰*⋻303A=NaN","layer":2},{"info":"NaN∑⇟⊟NaN=NaN","layer":1},{"info":"⋰*⋻2338⇷⋰*⋻1976=⋰*⋻3841","layer":3},{"info":"⪝⪂⫅⋰*⋻3841=⋰*⋻-462974","layer":2},{"info":"⋰*⋻1A63⊴⋰*⋻2A00=NaN","layer":3},{"info":"⋰*⋻1396⩷∴⋰*⋻14A7=⋰*⋻-251","layer":3},{"info":"NaN⨳⩥⨓⋰*⋻-251=NaN","layer":2},{"info":"⋰*⋻-462974⨪↰⇹NaN=⋰*⋻-462974","layer":1},{"info":"NaN⪮%⊝⋰*⋻-462974=NaN","layer":0}]}
{"id":959,"expression_no_base_symbol":"(⪲⇎(($1297$∸)⨸⪁$1786$⩚⊴⇥$5146$))⪄($1189$⪮%⊝$1824$%$2552$⩷∴$5222$⨵⪆(⋗⩬⋾$1053$)⫥∨⫟$1144$+⇶⊼$1471$)","expression":"(⪲⇎((⋰*⋻A7A∸)⨸⪁⋰*⋻1384⩚⊴⇥⋰*⋻3959))⪄(⋰*⋻991⪮%⊝⋰*⋻1409%⋰*⋻1A10⩷∴⋰*⋻3A18⨵⪆(⋗⩬⋾⋰*⋻878)⫥∨⫟⋰*⋻950+⇶⊼⋰*⋻1118)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":453,"operation_count":12,"complexity_ratio":37.75,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":1297,"base":11}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1786,"base":11},"right_expr":{"type":"numeric_atoms","value":5146,"base":11}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1189,"base":11},"right_expr":{"type":"numeric_atoms","value":1824,"base":11}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2552,"base":11},"right_expr":{"type":"numeric_atoms","value":5222,"base":11}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1053,"base":11}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1144,"base":11},"right_expr":{"type":"numeric_atoms","value":1471,"base":11}}}}},"used_operators":["SUmda5xLS4","XPYlsWDdGa","g55IO6H4Gj","o20kRiQErp","NTOWxs364D","2DQ55sFlQl","k8jYdgA6NY","IWmyXbctLI","9FxExcQeMw","KYD54nUTWz","DpFCA1CohY","TpPTUOHfaN"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr"],"result":"⋰*⋻2A98","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1297","layer":4},{"info":"compute unary expreesion, input=1297, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=1786","layer":4},{"info":"number node, value=5146","layer":4},{"info":"compute binary expreesion, left_input=1786, right_input=5146, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7053","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=-7053, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-13752","layer":2},{"info":"compute unary expreesion, input=-13752, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-27504","layer":1},{"info":"number node, value=1189","layer":4},{"info":"number node, value=1824","layer":4},{"info":"compute binary expreesion, left_input=1189, right_input=1824, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2694","layer":3},{"info":"number node, value=2552","layer":4},{"info":"number node, value=5222","layer":4},{"info":"compute binary expreesion, left_input=2552, right_input=5222, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-5372","layer":3},{"info":"compute binary expreesion, left_input=2694, right_input=-5372, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-2678","layer":2},{"info":"number node, value=1053","layer":4},{"info":"compute unary expreesion, input=1053, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3159","layer":3},{"info":"number node, value=1144","layer":4},{"info":"number node, value=1471","layer":4},{"info":"compute binary expreesion, left_input=1144, right_input=1471, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=-3159, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2678, 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=-27504, right_input=160, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":11,"result_base":11,"text":"(⪲⇎((⋰*⋻A7A∸)⨸⪁⋰*⋻1384⩚⊴⇥⋰*⋻3959))⪄(⋰*⋻991⪮%⊝⋰*⋻1409%⋰*⋻1A10⩷∴⋰*⋻3A18⨵⪆(⋗⩬⋾⋰*⋻878)⫥∨⫟⋰*⋻950+⇶⊼⋰*⋻1118)=⋰*⋻2A98","reverse_text":"⋰*⋻2A98=(⪲⇎((⋰*⋻A7A∸)⨸⪁⋰*⋻1384⩚⊴⇥⋰*⋻3959))⪄(⋰*⋻991⪮%⊝⋰*⋻1409%⋰*⋻1A10⩷∴⋰*⋻3A18⨵⪆(⋗⩬⋾⋰*⋻878)⫥∨⫟⋰*⋻950+⇶⊼⋰*⋻1118)","cot":[{"info":"⋰*⋻A7A∸=⋰*⋻151","layer":3},{"info":"⋰*⋻1384⩚⊴⇥⋰*⋻3959=⋰*⋻-5332","layer":3},{"info":"⋰*⋻151⨸⪁⋰*⋻-5332=⋰*⋻-A372","layer":2},{"info":"⪲⇎⋰*⋻-A372=⋰*⋻-19734","layer":1},{"info":"⋰*⋻991⪮%⊝⋰*⋻1409=⋰*⋻202A","layer":3},{"info":"⋰*⋻1A10⩷∴⋰*⋻3A18=⋰*⋻-4044","layer":3},{"info":"⋰*⋻202A%⋰*⋻-4044=⋰*⋻-2015","layer":2},{"info":"⋗⩬⋾⋰*⋻878=⋰*⋻-2412","layer":3},{"info":"⋰*⋻950+⇶⊼⋰*⋻1118=NaN","layer":3},{"info":"⋰*⋻-2412⫥∨⫟NaN=NaN","layer":2},{"info":"⋰*⋻-2015⨵⪆NaN=⋰*⋻136","layer":1},{"info":"⋰*⋻-19734⪄⋰*⋻136=⋰*⋻2A98","layer":0}]}
{"id":960,"expression_no_base_symbol":"(⨰⫟⨤($1500$↙$6960$/(⊄⩳↩$1293$)))⋫","expression":"(⨰⫟⨤(⋰*⋻1144↙⋰*⋻5258/(⊄⩳↩⋰*⋻A76)))⋫","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":7880,"operation_count":5,"complexity_ratio":1576.0,"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":1500,"base":11},"right_expr":{"type":"numeric_atoms","value":6960,"base":11}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1293,"base":11}}}}},"used_operators":["JL8yIekQnl","Tw270M8GLb","XhwjNDsVaA","yyfyN0ffXY","8w2t5hMYqp"],"dependent_operators":["tmPS8pqC7x","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1500","layer":4},{"info":"number node, value=6960","layer":4},{"info":"compute binary expreesion, left_input=1500, right_input=6960, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-20880","layer":3},{"info":"number node, value=1293","layer":4},{"info":"compute unary expreesion, input=1293, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3879","layer":3},{"info":"compute binary expreesion, left_input=-20880, right_input=-3879, op_id = XhwjNDsVaA binary_op_definition= 'None', output=5","layer":2},{"info":"compute unary expreesion, input=5, 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 = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⨰⫟⨤(⋰*⋻1144↙⋰*⋻5258/(⊄⩳↩⋰*⋻A76)))⋫=NaN","reverse_text":"NaN=(⨰⫟⨤(⋰*⋻1144↙⋰*⋻5258/(⊄⩳↩⋰*⋻A76)))⋫","cot":[{"info":"⋰*⋻1144↙⋰*⋻5258=⋰*⋻-14762","layer":3},{"info":"⊄⩳↩⋰*⋻A76=⋰*⋻-2A07","layer":3},{"info":"⋰*⋻-14762/⋰*⋻-2A07=⋰*⋻5","layer":2},{"info":"⨰⫟⨤⋰*⋻5=NaN","layer":1},{"info":"NaN⋫=NaN","layer":0}]}
{"id":961,"expression_no_base_symbol":"((⇁⨣⪵$1163$⋥≓≎$1881$)⨽(⫛⫱⨽($1386$∼$5896$)))⫌⩹⨱","expression":"((⇁⨣⪵⋰*⋻968⋥≓≎⋰*⋻1460)⨽(⫛⫱⨽(⋰*⋻1050∼⋰*⋻4480)))⫌⩹⨱","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":963,"operation_count":6,"complexity_ratio":160.5,"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":1163,"base":11},"right_expr":{"type":"numeric_atoms","value":1881,"base":11}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1386,"base":11},"right_expr":{"type":"numeric_atoms","value":5896,"base":11}}}}},"used_operators":["EBcxylXtPf","8HhzD0ZcuI","inkyxCbjAn","Qy55tPpLXF","DlLNRPXxWL","DyGG3AbaNP"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","B5M0gjZbta","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=1163","layer":4},{"info":"number node, value=1881","layer":4},{"info":"compute binary expreesion, left_input=1163, right_input=1881, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2632","layer":3},{"info":"compute unary expreesion, input=2632, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"number node, value=1386","layer":4},{"info":"number node, value=5896","layer":4},{"info":"compute binary expreesion, left_input=1386, right_input=5896, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":2},{"info":"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 = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⇁⨣⪵⋰*⋻968⋥≓≎⋰*⋻1460)⨽(⫛⫱⨽(⋰*⋻1050∼⋰*⋻4480)))⫌⩹⨱=NaN","reverse_text":"NaN=((⇁⨣⪵⋰*⋻968⋥≓≎⋰*⋻1460)⨽(⫛⫱⨽(⋰*⋻1050∼⋰*⋻4480)))⫌⩹⨱","cot":[{"info":"⋰*⋻968⋥≓≎⋰*⋻1460=⋰*⋻1A83","layer":3},{"info":"⇁⨣⪵⋰*⋻1A83=NaN","layer":2},{"info":"⋰*⋻1050∼⋰*⋻4480=NaN","layer":3},{"info":"⫛⫱⨽NaN=NaN","layer":2},{"info":"NaN⨽NaN=NaN","layer":1},{"info":"NaN⫌⩹⨱=NaN","layer":0}]}
{"id":962,"expression_no_base_symbol":"(⨈⫕($6399$⨳⩥⨓$2959$)⋝⋈⪟$1011$∀⇚≩$6790$)≧⫂∧(⫓⪴(⊙↵-($3358$⩷∴$4693$)))","expression":"(⨈⫕(⋰*⋻4898⨳⩥⨓⋰*⋻2250)⋝⋈⪟⋰*⋻83A∀⇚≩⋰*⋻5113)≧⫂∧(⫓⪴(⊙↵-(⋰*⋻2583⩷∴⋰*⋻3587)))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":10406,"operation_count":8,"complexity_ratio":1300.75,"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":6399,"base":11},"right_expr":{"type":"numeric_atoms","value":2959,"base":11}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1011,"base":11},"right_expr":{"type":"numeric_atoms","value":6790,"base":11}}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3358,"base":11},"right_expr":{"type":"numeric_atoms","value":4693,"base":11}}}}},"used_operators":["Ph9nP6C5qx","megm06wKyl","2DDjHMKMc0","nCS4ZIUYfx","LRNGc0VcxI","eLxqMNBOBk","oWn0xqSxBt","9FxExcQeMw"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","X99M06cbEe","9HNa5Wba9A","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z"],"result":"⋰*⋻26564","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6399","layer":4},{"info":"number node, value=2959","layer":4},{"info":"compute binary expreesion, left_input=6399, right_input=2959, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3440","layer":3},{"info":"number node, value=1011","layer":4},{"info":"number node, value=6790","layer":4},{"info":"compute binary expreesion, left_input=1011, right_input=6790, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=-3440, 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 = 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=3358","layer":4},{"info":"number node, value=4693","layer":4},{"info":"compute binary expreesion, left_input=3358, right_input=4693, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2702","layer":3},{"info":"compute unary expreesion, input=-2702, 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 = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=38416","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=38416, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=37943","layer":0}],"base":11,"result_base":11,"text":"(⨈⫕(⋰*⋻4898⨳⩥⨓⋰*⋻2250)⋝⋈⪟⋰*⋻83A∀⇚≩⋰*⋻5113)≧⫂∧(⫓⪴(⊙↵-(⋰*⋻2583⩷∴⋰*⋻3587)))=⋰*⋻26564","reverse_text":"⋰*⋻26564=(⨈⫕(⋰*⋻4898⨳⩥⨓⋰*⋻2250)⋝⋈⪟⋰*⋻83A∀⇚≩⋰*⋻5113)≧⫂∧(⫓⪴(⊙↵-(⋰*⋻2583⩷∴⋰*⋻3587)))","cot":[{"info":"⋰*⋻4898⨳⩥⨓⋰*⋻2250=⋰*⋻-2648","layer":3},{"info":"⋰*⋻83A∀⇚≩⋰*⋻5113=NaN","layer":3},{"info":"⋰*⋻-2648⋝⋈⪟NaN=NaN","layer":2},{"info":"⨈⫕NaN=⋰*⋻-1A","layer":1},{"info":"⋰*⋻2583⩷∴⋰*⋻3587=⋰*⋻-2037","layer":3},{"info":"⊙↵-⋰*⋻-2037=⋰*⋻169","layer":2},{"info":"⫓⪴⋰*⋻169=⋰*⋻26954","layer":1},{"info":"⋰*⋻-1A≧⫂∧⋰*⋻26954=⋰*⋻26564","layer":0}]}
{"id":963,"expression_no_base_symbol":"($1430$∑⇟⊟$5853$⩷∴($5305$⇼⇔∾$1763$)*(($1118$/$5772$)∸))⨎(($3347$⊭↱$1974$)⨓($5714$⪄$3676$)⨸⪁($1697$⨎$4384$⋷($9553$/$2711$)))","expression":"(⋰*⋻1090∑⇟⊟⋰*⋻4441⩷∴(⋰*⋻3A93⇼⇔∾⋰*⋻1363)*((⋰*⋻927/⋰*⋻4378)∸))⨎((⋰*⋻2573⊭↱⋰*⋻1535)⨓(⋰*⋻4325⪄⋰*⋻2842)⨸⪁(⋰*⋻1303⨎⋰*⋻3326⋷(⋰*⋻71A5/⋰*⋻2045)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":856771,"operation_count":14,"complexity_ratio":61197.92857142857,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1430,"base":11},"right_expr":{"type":"numeric_atoms","value":5853,"base":11}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":5305,"base":11},"right_expr":{"type":"numeric_atoms","value":1763,"base":11}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1118,"base":11},"right_expr":{"type":"numeric_atoms","value":5772,"base":11}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3347,"base":11},"right_expr":{"type":"numeric_atoms","value":1974,"base":11}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":5714,"base":11},"right_expr":{"type":"numeric_atoms","value":3676,"base":11}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1697,"base":11},"right_expr":{"type":"numeric_atoms","value":4384,"base":11}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":9553,"base":11},"right_expr":{"type":"numeric_atoms","value":2711,"base":11}}}}},"used_operators":["rJVOvQCfKK","9HNa5Wba9A","9FxExcQeMw","U7g4x0WXJJ","tifHPKVTfV","o20kRiQErp","XhwjNDsVaA","g55IO6H4Gj","3ViojmjbAp","COABgblf1C","SUmda5xLS4","23Mk6UjR3U"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","rysDP5nf3Z","W4YGzv6Whe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻-A76595","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1430","layer":4},{"info":"number node, value=5853","layer":4},{"info":"compute binary expreesion, left_input=1430, right_input=5853, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=5305","layer":4},{"info":"number node, value=1763","layer":4},{"info":"compute binary expreesion, left_input=5305, right_input=1763, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-3542","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3542, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"number node, value=1118","layer":4},{"info":"number node, value=5772","layer":4},{"info":"compute binary expreesion, left_input=1118, right_input=5772, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=177, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=3347","layer":4},{"info":"number node, value=1974","layer":4},{"info":"compute binary expreesion, left_input=3347, right_input=1974, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-2741","layer":3},{"info":"number node, value=5714","layer":4},{"info":"number node, value=3676","layer":4},{"info":"compute binary expreesion, left_input=5714, right_input=3676, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-856465","layer":3},{"info":"compute binary expreesion, left_input=-2741, right_input=-856465, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-856468","layer":2},{"info":"number node, value=1697","layer":4},{"info":"number node, value=4384","layer":4},{"info":"compute binary expreesion, left_input=1697, 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=9553","layer":4},{"info":"number node, value=2711","layer":4},{"info":"compute binary expreesion, left_input=9553, right_input=2711, op_id = XhwjNDsVaA binary_op_definition= 'None', output=3","layer":3},{"info":"compute binary expreesion, left_input=4384, right_input=3, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-4378","layer":2},{"info":"compute binary expreesion, left_input=-856468, right_input=-4378, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-1721692","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1721692, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-1721692","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1090∑⇟⊟⋰*⋻4441⩷∴(⋰*⋻3A93⇼⇔∾⋰*⋻1363)*((⋰*⋻927/⋰*⋻4378)∸))⨎((⋰*⋻2573⊭↱⋰*⋻1535)⨓(⋰*⋻4325⪄⋰*⋻2842)⨸⪁(⋰*⋻1303⨎⋰*⋻3326⋷(⋰*⋻71A5/⋰*⋻2045)))=⋰*⋻-A76595","reverse_text":"⋰*⋻-A76595=(⋰*⋻1090∑⇟⊟⋰*⋻4441⩷∴(⋰*⋻3A93⇼⇔∾⋰*⋻1363)*((⋰*⋻927/⋰*⋻4378)∸))⨎((⋰*⋻2573⊭↱⋰*⋻1535)⨓(⋰*⋻4325⪄⋰*⋻2842)⨸⪁(⋰*⋻1303⨎⋰*⋻3326⋷(⋰*⋻71A5/⋰*⋻2045)))","cot":[{"info":"⋰*⋻1090∑⇟⊟⋰*⋻4441=NaN","layer":3},{"info":"⋰*⋻3A93⇼⇔∾⋰*⋻1363=⋰*⋻-2730","layer":3},{"info":"NaN⩷∴⋰*⋻-2730=NaN","layer":2},{"info":"⋰*⋻927/⋰*⋻4378=⋰*⋻0","layer":3},{"info":"⋰*⋻0∸=⋰*⋻151","layer":2},{"info":"NaN*⋰*⋻151=NaN","layer":1},{"info":"⋰*⋻2573⊭↱⋰*⋻1535=⋰*⋻-2072","layer":3},{"info":"⋰*⋻4325⪄⋰*⋻2842=⋰*⋻-535525","layer":3},{"info":"⋰*⋻-2072⨓⋰*⋻-535525=⋰*⋻-535528","layer":2},{"info":"⋰*⋻1303⨎⋰*⋻3326=⋰*⋻3326","layer":3},{"info":"⋰*⋻71A5/⋰*⋻2045=⋰*⋻3","layer":3},{"info":"⋰*⋻3326⋷⋰*⋻3=⋰*⋻-3320","layer":2},{"info":"⋰*⋻-535528⨸⪁⋰*⋻-3320=⋰*⋻-A76595","layer":1},{"info":"NaN⨎⋰*⋻-A76595=⋰*⋻-A76595","layer":0}]}
{"id":964,"expression_no_base_symbol":"(⇁⨣⪵($1079$⫡⨏$3728$))∼($1793$⪢$1039$⇷($2007$+$1836$))⪒((⊙↵-$6951$)⩚⊴⇥$1026$⪢$2042$⪠⩆⊳)","expression":"(⇁⨣⪵(⋰*⋻8A1⫡⨏⋰*⋻288A))∼(⋰*⋻1390⪢⋰*⋻865⇷(⋰*⋻1565+⋰*⋻141A))⪒((⊙↵-⋰*⋻524A)⩚⊴⇥⋰*⋻853⪢⋰*⋻1597⪠⩆⊳)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":10585,"operation_count":11,"complexity_ratio":962.2727272727273,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1079,"base":11},"right_expr":{"type":"numeric_atoms","value":3728,"base":11}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1793,"base":11},"right_expr":{"type":"numeric_atoms","value":1039,"base":11}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2007,"base":11},"right_expr":{"type":"numeric_atoms","value":1836,"base":11}}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":6951,"base":11}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1026,"base":11},"right_expr":{"type":"numeric_atoms","value":2042,"base":11}}}}},"used_operators":["f6k1SAg4EE","DyGG3AbaNP","inkyxCbjAn","QMFrweE19q","mp7IySMOzn","dWAJyo7jo9","W4YGzv6Whe","JLbD19bQDL","NTOWxs364D","oWn0xqSxBt"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=1079","layer":4},{"info":"number node, value=3728","layer":4},{"info":"compute binary expreesion, left_input=1079, right_input=3728, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=13634","layer":3},{"info":"compute unary expreesion, input=13634, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"number node, value=1793","layer":4},{"info":"number node, value=1039","layer":4},{"info":"compute binary expreesion, left_input=1793, right_input=1039, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=2007","layer":4},{"info":"number node, value=1836","layer":4},{"info":"compute binary expreesion, left_input=2007, right_input=1836, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3843","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3843, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=7686","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=7686, 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=6951","layer":4},{"info":"compute unary expreesion, input=6951, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=1026","layer":4},{"info":"number node, value=2042","layer":4},{"info":"compute binary expreesion, left_input=1026, right_input=2042, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=-1, 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 = 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 = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⇁⨣⪵(⋰*⋻8A1⫡⨏⋰*⋻288A))∼(⋰*⋻1390⪢⋰*⋻865⇷(⋰*⋻1565+⋰*⋻141A))⪒((⊙↵-⋰*⋻524A)⩚⊴⇥⋰*⋻853⪢⋰*⋻1597⪠⩆⊳)=NaN","reverse_text":"NaN=(⇁⨣⪵(⋰*⋻8A1⫡⨏⋰*⋻288A))∼(⋰*⋻1390⪢⋰*⋻865⇷(⋰*⋻1565+⋰*⋻141A))⪒((⊙↵-⋰*⋻524A)⩚⊴⇥⋰*⋻853⪢⋰*⋻1597⪠⩆⊳)","cot":[{"info":"⋰*⋻8A1⫡⨏⋰*⋻288A=⋰*⋻A275","layer":3},{"info":"⇁⨣⪵⋰*⋻A275=NaN","layer":2},{"info":"⋰*⋻1390⪢⋰*⋻865=NaN","layer":3},{"info":"⋰*⋻1565+⋰*⋻141A=⋰*⋻2984","layer":3},{"info":"NaN⇷⋰*⋻2984=⋰*⋻5858","layer":2},{"info":"NaN∼⋰*⋻5858=NaN","layer":1},{"info":"⊙↵-⋰*⋻524A=⋰*⋻-1","layer":3},{"info":"⋰*⋻853⪢⋰*⋻1597=NaN","layer":3},{"info":"⋰*⋻-1⩚⊴⇥NaN=NaN","layer":2},{"info":"NaN⪠⩆⊳=NaN","layer":1},{"info":"NaN⪒NaN=NaN","layer":0}]}
{"id":965,"expression_no_base_symbol":"(⪝⪂⫅$1054$)≹⇙⪍(⨰⫟⨤$5309$)↺($1660$≎⊠⪸$1591$)⋓$1669$⨪↰⇹$1473$⨸⪁($2178$⊉≛↸$4317$⋷(⨞⊢$2341$))⋓(⫛⫱⨽$1237$)⊴($6554$⪄$4393$)","expression":"(⪝⪂⫅⋰*⋻879)≹⇙⪍(⨰⫟⨤⋰*⋻3A97)↺(⋰*⋻127A≎⊠⪸⋰*⋻1217)⋓⋰*⋻1288⨪↰⇹⋰*⋻111A⨸⪁(⋰*⋻1700⊉≛↸⋰*⋻3275⋷(⨞⊢⋰*⋻1839))⋓(⫛⫱⨽⋰*⋻A25)⊴(⋰*⋻4A19⪄⋰*⋻3334)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1007700,"operation_count":15,"complexity_ratio":67180.0,"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":1054,"base":11}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":5309,"base":11}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1660,"base":11},"right_expr":{"type":"numeric_atoms","value":1591,"base":11}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1669,"base":11},"right_expr":{"type":"numeric_atoms","value":1473,"base":11}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2178,"base":11},"right_expr":{"type":"numeric_atoms","value":4317,"base":11}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2341,"base":11}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1237,"base":11}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":6554,"base":11},"right_expr":{"type":"numeric_atoms","value":4393,"base":11}}}}},"used_operators":["g55IO6H4Gj","7j4O788W3g","AHs5Up7iyr","XTarYq4gQB","Tw270M8GLb","T2fj7uvVaJ","bJkvcejdHO","tmPS8pqC7x","23Mk6UjR3U","DZ8iAZOCBD","xUOZtlo3hN","Nsiff2A1zJ","DlLNRPXxWL","SUmda5xLS4"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","9HNa5Wba9A","8w2t5hMYqp","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rGHVDoGpnC","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1054","layer":4},{"info":"compute unary expreesion, input=1054, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-154938","layer":3},{"info":"number node, value=5309","layer":4},{"info":"compute unary expreesion, input=5309, 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=-154938, 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=1660","layer":4},{"info":"number node, value=1591","layer":4},{"info":"compute binary expreesion, left_input=1660, right_input=1591, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=429467","layer":3},{"info":"number node, value=1669","layer":4},{"info":"number node, value=1473","layer":4},{"info":"compute binary expreesion, left_input=1669, right_input=1473, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1669","layer":3},{"info":"compute binary expreesion, left_input=429467, right_input=1669, op_id = T2fj7uvVaJ binary_op_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 = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=0","layer":1},{"info":"number node, value=2178","layer":4},{"info":"number node, value=4317","layer":4},{"info":"compute binary expreesion, left_input=2178, right_input=4317, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4356","layer":3},{"info":"number node, value=2341","layer":4},{"info":"compute unary expreesion, input=2341, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2515","layer":3},{"info":"compute binary expreesion, left_input=4356, right_input=-2515, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-9386","layer":2},{"info":"number node, value=1237","layer":4},{"info":"compute unary expreesion, input=1237, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=6554","layer":4},{"info":"number node, value=4393","layer":4},{"info":"compute binary expreesion, left_input=6554, right_input=4393, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-983653","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-983653, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-9386, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⪝⪂⫅⋰*⋻879)≹⇙⪍(⨰⫟⨤⋰*⋻3A97)↺(⋰*⋻127A≎⊠⪸⋰*⋻1217)⋓⋰*⋻1288⨪↰⇹⋰*⋻111A⨸⪁(⋰*⋻1700⊉≛↸⋰*⋻3275⋷(⨞⊢⋰*⋻1839))⋓(⫛⫱⨽⋰*⋻A25)⊴(⋰*⋻4A19⪄⋰*⋻3334)=NaN","reverse_text":"NaN=(⪝⪂⫅⋰*⋻879)≹⇙⪍(⨰⫟⨤⋰*⋻3A97)↺(⋰*⋻127A≎⊠⪸⋰*⋻1217)⋓⋰*⋻1288⨪↰⇹⋰*⋻111A⨸⪁(⋰*⋻1700⊉≛↸⋰*⋻3275⋷(⨞⊢⋰*⋻1839))⋓(⫛⫱⨽⋰*⋻A25)⊴(⋰*⋻4A19⪄⋰*⋻3334)","cot":[{"info":"⪝⪂⫅⋰*⋻879=⋰*⋻-A6453","layer":3},{"info":"⨰⫟⨤⋰*⋻3A97=NaN","layer":3},{"info":"⋰*⋻-A6453≹⇙⪍NaN=NaN","layer":2},{"info":"⋰*⋻127A≎⊠⪸⋰*⋻1217=⋰*⋻273735","layer":3},{"info":"⋰*⋻1288⨪↰⇹⋰*⋻111A=⋰*⋻1288","layer":3},{"info":"⋰*⋻273735⋓⋰*⋻1288=⋰*⋻0","layer":2},{"info":"NaN↺⋰*⋻0=⋰*⋻0","layer":1},{"info":"⋰*⋻1700⊉≛↸⋰*⋻3275=⋰*⋻3300","layer":3},{"info":"⨞⊢⋰*⋻1839=⋰*⋻-1987","layer":3},{"info":"⋰*⋻3300⋷⋰*⋻-1987=⋰*⋻-7063","layer":2},{"info":"⫛⫱⨽⋰*⋻A25=⋰*⋻0","layer":3},{"info":"⋰*⋻4A19⪄⋰*⋻3334=⋰*⋻-612040","layer":3},{"info":"⋰*⋻0⊴⋰*⋻-612040=NaN","layer":2},{"info":"⋰*⋻-7063⋓NaN=NaN","layer":1},{"info":"⋰*⋻0⨸⪁NaN=NaN","layer":0}]}
{"id":966,"expression_no_base_symbol":"(↥($1148$*$3694$))≎⊠⪸($2255$⩠)⪢($1053$⨎$2232$)⨽((⫓⪴($2456$↛⩡⫤))⊪)","expression":"(↥(⋰*⋻954*⋰*⋻2859))≎⊠⪸(⋰*⋻1770⩠)⪢(⋰*⋻878⨎⋰*⋻174A)⨽((⫓⪴(⋰*⋻1933↛⩡⫤))⊪)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":461097,"operation_count":10,"complexity_ratio":46109.7,"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":1148,"base":11},"right_expr":{"type":"numeric_atoms","value":3694,"base":11}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":2255,"base":11}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1053,"base":11},"right_expr":{"type":"numeric_atoms","value":2232,"base":11}}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":2456,"base":11}}}}},"used_operators":["8HhzD0ZcuI","bJkvcejdHO","A8NUZmVepG","9HNa5Wba9A","dWAJyo7jo9","sJAwomhLZr","rJVOvQCfKK","zVYPLywUTj","eLxqMNBOBk","FU0Cs4j7VP"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","k8jYdgA6NY","W4YGzv6Whe","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","9HNa5Wba9A","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1148","layer":4},{"info":"number node, value=3694","layer":4},{"info":"compute binary expreesion, left_input=1148, right_input=3694, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4240712","layer":3},{"info":"compute unary expreesion, input=4240712, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=11","layer":2},{"info":"number node, value=2255","layer":4},{"info":"compute unary expreesion, input=2255, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=1053","layer":4},{"info":"number node, value=2232","layer":4},{"info":"compute binary expreesion, left_input=1053, right_input=2232, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2232","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2232, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=11, 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=2456","layer":4},{"info":"compute unary expreesion, input=2456, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-366945","layer":3},{"info":"compute unary expreesion, input=-366945, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=inf","layer":2},{"info":"compute unary expreesion, input=inf, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(↥(⋰*⋻954*⋰*⋻2859))≎⊠⪸(⋰*⋻1770⩠)⪢(⋰*⋻878⨎⋰*⋻174A)⨽((⫓⪴(⋰*⋻1933↛⩡⫤))⊪)=NaN","reverse_text":"NaN=(↥(⋰*⋻954*⋰*⋻2859))≎⊠⪸(⋰*⋻1770⩠)⪢(⋰*⋻878⨎⋰*⋻174A)⨽((⫓⪴(⋰*⋻1933↛⩡⫤))⊪)","cot":[{"info":"⋰*⋻954*⋰*⋻2859=⋰*⋻2437123","layer":3},{"info":"↥⋰*⋻2437123=⋰*⋻10","layer":2},{"info":"⋰*⋻1770⩠=⋰*⋻0","layer":3},{"info":"⋰*⋻878⨎⋰*⋻174A=⋰*⋻174A","layer":3},{"info":"⋰*⋻0⪢⋰*⋻174A=NaN","layer":2},{"info":"⋰*⋻10≎⊠⪸NaN=⋰*⋻61","layer":1},{"info":"⋰*⋻1933↛⩡⫤=⋰*⋻-230767","layer":3},{"info":"⫓⪴⋰*⋻-230767=Inf","layer":2},{"info":"Inf⊪=NaN","layer":1},{"info":"⋰*⋻61⨽NaN=NaN","layer":0}]}
{"id":967,"expression_no_base_symbol":"((⨞⊢(↣≠⋷$5736$))⨐⩸⫘((↔$8979$)⋷(≦∁$1353$)))⊴(((⊄⩳↩$5739$)⊉≛↸$2359$↙$2695$)⨳⩥⨓$5249$≹⇙⪍$4680$≧⫂∧$1381$⪮%⊝$2366$)","expression":"((⨞⊢(↣≠⋷⋰*⋻4345))⨐⩸⫘((↔⋰*⋻6823)⋷(≦∁⋰*⋻1020)))⊴(((⊄⩳↩⋰*⋻4348)⊉≛↸⋰*⋻1855↙⋰*⋻2030)⨳⩥⨓⋰*⋻3A42≹⇙⪍⋰*⋻3575≧⫂∧⋰*⋻1046⪮%⊝⋰*⋻1861)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":8221,"operation_count":14,"complexity_ratio":587.2142857142857,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":5736,"base":11}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":8979,"base":11}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1353,"base":11}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":5739,"base":11}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2359,"base":11},"right_expr":{"type":"numeric_atoms","value":2695,"base":11}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5249,"base":11},"right_expr":{"type":"numeric_atoms","value":4680,"base":11}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1381,"base":11},"right_expr":{"type":"numeric_atoms","value":2366,"base":11}}}}},"used_operators":["Nsiff2A1zJ","fu6greOZ01","xUOZtlo3hN","Asc51vEJeQ","23Mk6UjR3U","ruOEQAzv1W","9ICcGScMcE","nCS4ZIUYfx","DZ8iAZOCBD","8w2t5hMYqp","yyfyN0ffXY","Ph9nP6C5qx","AHs5Up7iyr","IWmyXbctLI"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5736","layer":4},{"info":"compute unary expreesion, input=5736, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":2},{"info":"number node, value=8979","layer":4},{"info":"compute unary expreesion, input=8979, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-8706","layer":3},{"info":"number node, value=1353","layer":4},{"info":"compute unary expreesion, input=1353, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1353","layer":3},{"info":"compute binary expreesion, left_input=-8706, right_input=1353, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=17412","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=17412, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=5739","layer":4},{"info":"compute unary expreesion, input=5739, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-17217","layer":3},{"info":"number node, value=2359","layer":4},{"info":"number node, value=2695","layer":4},{"info":"compute binary expreesion, left_input=2359, right_input=2695, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-8085","layer":3},{"info":"compute binary expreesion, left_input=-17217, right_input=-8085, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=8085","layer":2},{"info":"number node, value=5249","layer":4},{"info":"number node, value=4680","layer":4},{"info":"compute binary expreesion, left_input=5249, right_input=4680, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=1381","layer":4},{"info":"number node, value=2366","layer":4},{"info":"compute binary expreesion, left_input=1381, right_input=2366, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3078","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3078, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2605","layer":2},{"info":"compute binary expreesion, left_input=8085, right_input=2605, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-5480","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-5480, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⨞⊢(↣≠⋷⋰*⋻4345))⨐⩸⫘((↔⋰*⋻6823)⋷(≦∁⋰*⋻1020)))⊴(((⊄⩳↩⋰*⋻4348)⊉≛↸⋰*⋻1855↙⋰*⋻2030)⨳⩥⨓⋰*⋻3A42≹⇙⪍⋰*⋻3575≧⫂∧⋰*⋻1046⪮%⊝⋰*⋻1861)=NaN","reverse_text":"NaN=((⨞⊢(↣≠⋷⋰*⋻4345))⨐⩸⫘((↔⋰*⋻6823)⋷(≦∁⋰*⋻1020)))⊴(((⊄⩳↩⋰*⋻4348)⊉≛↸⋰*⋻1855↙⋰*⋻2030)⨳⩥⨓⋰*⋻3A42≹⇙⪍⋰*⋻3575≧⫂∧⋰*⋻1046⪮%⊝⋰*⋻1861)","cot":[{"info":"↣≠⋷⋰*⋻4345=NaN","layer":3},{"info":"⨞⊢NaN=NaN","layer":2},{"info":"↔⋰*⋻6823=⋰*⋻-65A5","layer":3},{"info":"≦∁⋰*⋻1020=⋰*⋻1020","layer":3},{"info":"⋰*⋻-65A5⋷⋰*⋻1020=⋰*⋻1209A","layer":2},{"info":"NaN⨐⩸⫘⋰*⋻1209A=NaN","layer":1},{"info":"⊄⩳↩⋰*⋻4348=⋰*⋻-11A32","layer":3},{"info":"⋰*⋻1855↙⋰*⋻2030=⋰*⋻-6090","layer":3},{"info":"⋰*⋻-11A32⊉≛↸⋰*⋻-6090=⋰*⋻6090","layer":2},{"info":"⋰*⋻3A42≹⇙⪍⋰*⋻3575=NaN","layer":3},{"info":"⋰*⋻1046⪮%⊝⋰*⋻1861=⋰*⋻2349","layer":3},{"info":"NaN≧⫂∧⋰*⋻2349=⋰*⋻1A59","layer":2},{"info":"⋰*⋻6090⨳⩥⨓⋰*⋻1A59=⋰*⋻-4132","layer":1},{"info":"NaN⊴⋰*⋻-4132=NaN","layer":0}]}
{"id":968,"expression_no_base_symbol":"(($3142$↺$1167$)⫥∨⫟($1665$⨽$1325$))⋝⋈⪟(($1628$⋷$1586$)⪒$5040$⨎$1610$)+⇶⊼((⫛⫱⨽$2034$)⪘⫢($2884$⩷∴$4426$)≋⫹)","expression":"((⋰*⋻23A7↺⋰*⋻971)⫥∨⫟(⋰*⋻1284⨽⋰*⋻AA5))⋝⋈⪟((⋰*⋻1250⋷⋰*⋻1212)⪒⋰*⋻3872⨎⋰*⋻1234)+⇶⊼((⫛⫱⨽⋰*⋻158A)⪘⫢(⋰*⋻2192⩷∴⋰*⋻3364)≋⫹)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3285,"operation_count":12,"complexity_ratio":273.75,"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":3142,"base":11},"right_expr":{"type":"numeric_atoms","value":1167,"base":11}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1665,"base":11},"right_expr":{"type":"numeric_atoms","value":1325,"base":11}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1628,"base":11},"right_expr":{"type":"numeric_atoms","value":1586,"base":11}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5040,"base":11},"right_expr":{"type":"numeric_atoms","value":1610,"base":11}}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2034,"base":11}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2884,"base":11},"right_expr":{"type":"numeric_atoms","value":4426,"base":11}}}}},"used_operators":["TpPTUOHfaN","2DDjHMKMc0","KYD54nUTWz","7j4O788W3g","8HhzD0ZcuI","f6k1SAg4EE","23Mk6UjR3U","rJVOvQCfKK","N41Kp7NANJ","oacrs7FA3X","DlLNRPXxWL","9FxExcQeMw"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rGHVDoGpnC","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3142","layer":4},{"info":"number node, value=1167","layer":4},{"info":"compute binary expreesion, left_input=3142, right_input=1167, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1167","layer":3},{"info":"number node, value=1665","layer":4},{"info":"number node, value=1325","layer":4},{"info":"compute binary expreesion, left_input=1665, right_input=1325, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-8319336","layer":3},{"info":"compute binary expreesion, left_input=1167, right_input=-8319336, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1628","layer":4},{"info":"number node, value=1586","layer":4},{"info":"compute binary expreesion, left_input=1628, right_input=1586, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1544","layer":3},{"info":"number node, value=5040","layer":4},{"info":"number node, value=1610","layer":4},{"info":"compute binary expreesion, left_input=5040, right_input=1610, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1610","layer":3},{"info":"compute binary expreesion, left_input=1544, right_input=1610, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3154","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3154, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=2034","layer":4},{"info":"compute unary expreesion, input=2034, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=2884","layer":4},{"info":"number node, value=4426","layer":4},{"info":"compute binary expreesion, left_input=2884, right_input=4426, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-3116","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-3116, 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 = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=2","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻23A7↺⋰*⋻971)⫥∨⫟(⋰*⋻1284⨽⋰*⋻AA5))⋝⋈⪟((⋰*⋻1250⋷⋰*⋻1212)⪒⋰*⋻3872⨎⋰*⋻1234)+⇶⊼((⫛⫱⨽⋰*⋻158A)⪘⫢(⋰*⋻2192⩷∴⋰*⋻3364)≋⫹)=NaN","reverse_text":"NaN=((⋰*⋻23A7↺⋰*⋻971)⫥∨⫟(⋰*⋻1284⨽⋰*⋻AA5))⋝⋈⪟((⋰*⋻1250⋷⋰*⋻1212)⪒⋰*⋻3872⨎⋰*⋻1234)+⇶⊼((⫛⫱⨽⋰*⋻158A)⪘⫢(⋰*⋻2192⩷∴⋰*⋻3364)≋⫹)","cot":[{"info":"⋰*⋻23A7↺⋰*⋻971=⋰*⋻971","layer":3},{"info":"⋰*⋻1284⨽⋰*⋻AA5=⋰*⋻-4772493","layer":3},{"info":"⋰*⋻971⫥∨⫟⋰*⋻-4772493=NaN","layer":2},{"info":"⋰*⋻1250⋷⋰*⋻1212=⋰*⋻1184","layer":3},{"info":"⋰*⋻3872⨎⋰*⋻1234=⋰*⋻1234","layer":3},{"info":"⋰*⋻1184⪒⋰*⋻1234=⋰*⋻-2408","layer":2},{"info":"NaN⋝⋈⪟⋰*⋻-2408=NaN","layer":1},{"info":"⫛⫱⨽⋰*⋻158A=⋰*⋻0","layer":3},{"info":"⋰*⋻2192⩷∴⋰*⋻3364=⋰*⋻-2383","layer":3},{"info":"⋰*⋻0⪘⫢⋰*⋻-2383=⋰*⋻-1","layer":2},{"info":"⋰*⋻-1≋⫹=⋰*⋻2","layer":1},{"info":"NaN+⇶⊼⋰*⋻2=NaN","layer":0}]}
{"id":969,"expression_no_base_symbol":"⨞⊢(⋗⩬⋾$5632$⨪↰⇹$1639$)⨓($1393$⫸⊐$1229$⊭↱($4185$⫌⩹⨱))","expression":"⨞⊢(⋗⩬⋾⋰*⋻4260⨪↰⇹⋰*⋻1260)⨓(⋰*⋻1057⫸⊐⋰*⋻A18⊭↱(⋰*⋻3165⫌⩹⨱))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":15645,"operation_count":7,"complexity_ratio":2235.0,"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":5632,"base":11},"right_expr":{"type":"numeric_atoms","value":1639,"base":11}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1393,"base":11},"right_expr":{"type":"numeric_atoms","value":1229,"base":11}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":4185,"base":11}}}}},"used_operators":["xUOZtlo3hN","3ViojmjbAp","DpFCA1CohY","tmPS8pqC7x","COABgblf1C","mqXw5SEYmG","EBcxylXtPf"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z"],"result":"⋰*⋻73A4","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5632","layer":4},{"info":"number node, value=1639","layer":4},{"info":"compute binary expreesion, left_input=5632, right_input=1639, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=5632","layer":3},{"info":"compute unary expreesion, input=5632, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-16896","layer":2},{"info":"number node, value=1393","layer":4},{"info":"number node, value=1229","layer":4},{"info":"compute binary expreesion, left_input=1393, right_input=1229, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4791","layer":3},{"info":"number node, value=4185","layer":4},{"info":"compute unary expreesion, input=4185, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=9771","layer":3},{"info":"compute binary expreesion, left_input=4791, right_input=9771, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=9965","layer":2},{"info":"compute binary expreesion, left_input=-16896, right_input=9965, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-9968","layer":1},{"info":"compute unary expreesion, input=-9968, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=9794","layer":0}],"base":11,"result_base":11,"text":"⨞⊢(⋗⩬⋾⋰*⋻4260⨪↰⇹⋰*⋻1260)⨓(⋰*⋻1057⫸⊐⋰*⋻A18⊭↱(⋰*⋻3165⫌⩹⨱))=⋰*⋻73A4","reverse_text":"⋰*⋻73A4=⨞⊢(⋗⩬⋾⋰*⋻4260⨪↰⇹⋰*⋻1260)⨓(⋰*⋻1057⫸⊐⋰*⋻A18⊭↱(⋰*⋻3165⫌⩹⨱))","cot":[{"info":"⋰*⋻4260⨪↰⇹⋰*⋻1260=⋰*⋻4260","layer":3},{"info":"⋗⩬⋾⋰*⋻4260=⋰*⋻-11770","layer":2},{"info":"⋰*⋻1057⫸⊐⋰*⋻A18=⋰*⋻3666","layer":3},{"info":"⋰*⋻3165⫌⩹⨱=⋰*⋻7383","layer":3},{"info":"⋰*⋻3666⊭↱⋰*⋻7383=⋰*⋻753A","layer":2},{"info":"⋰*⋻-11770⨓⋰*⋻753A=⋰*⋻-7542","layer":1},{"info":"⨞⊢⋰*⋻-7542=⋰*⋻73A4","layer":0}]}
{"id":970,"expression_no_base_symbol":"∂($3735$≧⫂∧$1525$≧⫂∧($3337$≎⊠⪸$4351$)↙((∥⊫$1400$)+($1993$↛⩡⫤)))","expression":"∂(⋰*⋻2896≧⫂∧⋰*⋻1167≧⫂∧(⋰*⋻2564≎⊠⪸⋰*⋻32A6)↙((∥⊫⋰*⋻1063)+(⋰*⋻1552↛⩡⫤)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":301158,"operation_count":8,"complexity_ratio":37644.75,"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":3735,"base":11},"right_expr":{"type":"numeric_atoms","value":1525,"base":11}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3337,"base":11},"right_expr":{"type":"numeric_atoms","value":4351,"base":11}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1400,"base":11}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1993,"base":11}}}}},"used_operators":["Uaa54Peajs","yyfyN0ffXY","Ph9nP6C5qx","bJkvcejdHO","W4YGzv6Whe","P8v4zCKN1o","FU0Cs4j7VP"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3735","layer":4},{"info":"number node, value=1525","layer":4},{"info":"compute binary expreesion, left_input=3735, right_input=1525, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1052","layer":3},{"info":"number node, value=3337","layer":4},{"info":"number node, value=4351","layer":4},{"info":"compute binary expreesion, left_input=3337, right_input=4351, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=863810","layer":3},{"info":"compute binary expreesion, left_input=1052, right_input=863810, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=863337","layer":2},{"info":"number node, value=1400","layer":4},{"info":"compute unary expreesion, input=1400, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2268","layer":3},{"info":"number node, value=1993","layer":4},{"info":"compute unary expreesion, input=1993, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-297032","layer":3},{"info":"compute binary expreesion, left_input=2268, right_input=-297032, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-294764","layer":2},{"info":"compute binary expreesion, left_input=863337, right_input=-294764, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=884292","layer":1},{"info":"compute unary expreesion, input=884292, 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":11,"result_base":11,"text":"∂(⋰*⋻2896≧⫂∧⋰*⋻1167≧⫂∧(⋰*⋻2564≎⊠⪸⋰*⋻32A6)↙((∥⊫⋰*⋻1063)+(⋰*⋻1552↛⩡⫤)))=NaN","reverse_text":"NaN=∂(⋰*⋻2896≧⫂∧⋰*⋻1167≧⫂∧(⋰*⋻2564≎⊠⪸⋰*⋻32A6)↙((∥⊫⋰*⋻1063)+(⋰*⋻1552↛⩡⫤)))","cot":[{"info":"⋰*⋻2896≧⫂∧⋰*⋻1167=⋰*⋻877","layer":3},{"info":"⋰*⋻2564≎⊠⪸⋰*⋻32A6=⋰*⋻53AAA2","layer":3},{"info":"⋰*⋻877≧⫂∧⋰*⋻53AAA2=⋰*⋻53A702","layer":2},{"info":"∥⊫⋰*⋻1063=⋰*⋻1782","layer":3},{"info":"⋰*⋻1552↛⩡⫤=⋰*⋻-19318A","layer":3},{"info":"⋰*⋻1782+⋰*⋻-19318A=⋰*⋻-191508","layer":2},{"info":"⋰*⋻53A702↙⋰*⋻-191508=⋰*⋻554422","layer":1},{"info":"∂⋰*⋻554422=NaN","layer":0}]}
{"id":971,"expression_no_base_symbol":"((-$5019$)-$1146$∑⇟⊟$1031$)⋥≓≎($4801$≹⇙⪍$3494$⫸⊐$4638$⨳⩥⨓$8494$)⊭↱(∂(($1662$↪⪝)⨽$5453$⨽$2991$))","expression":"((-⋰*⋻3853)-⋰*⋻952∑⇟⊟⋰*⋻858)⋥≓≎(⋰*⋻3675≹⇙⪍⋰*⋻2697⫸⊐⋰*⋻3537⨳⩥⨓⋰*⋻6422)⊭↱(∂((⋰*⋻1281↪⪝)⨽⋰*⋻4108⨽⋰*⋻227A))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":101691091,"operation_count":12,"complexity_ratio":8474257.583333334,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":5019,"base":11}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1146,"base":11},"right_expr":{"type":"numeric_atoms","value":1031,"base":11}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":4801,"base":11},"right_expr":{"type":"numeric_atoms","value":3494,"base":11}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4638,"base":11},"right_expr":{"type":"numeric_atoms","value":8494,"base":11}}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1662,"base":11}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":5453,"base":11},"right_expr":{"type":"numeric_atoms","value":2991,"base":11}}}}},"used_operators":["COABgblf1C","Qy55tPpLXF","rysDP5nf3Z","t8gj7n24qd","U7g4x0WXJJ","mqXw5SEYmG","AHs5Up7iyr","nCS4ZIUYfx","Uaa54Peajs","8HhzD0ZcuI","l07mrZUIn9"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9HNa5Wba9A","2DDjHMKMc0"],"result":"Inf","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5019","layer":4},{"info":"compute unary expreesion, input=5019, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-5019","layer":3},{"info":"number node, value=1146","layer":4},{"info":"number node, value=1031","layer":4},{"info":"compute binary expreesion, left_input=1146, right_input=1031, 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=-5019, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=4801","layer":4},{"info":"number node, value=3494","layer":4},{"info":"compute binary expreesion, left_input=4801, right_input=3494, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=4638","layer":4},{"info":"number node, value=8494","layer":4},{"info":"compute binary expreesion, left_input=4638, right_input=8494, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=3856","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3856, 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 = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":1},{"info":"number node, value=1662","layer":4},{"info":"compute unary expreesion, input=1662, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=101684484","layer":3},{"info":"number node, value=5453","layer":4},{"info":"number node, value=2991","layer":4},{"info":"compute binary expreesion, left_input=5453, right_input=2991, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-89213286","layer":3},{"info":"compute binary expreesion, left_input=101684484, right_input=-89213286, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":2},{"info":"compute unary expreesion, input=-inf, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=inf","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=inf, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=inf","layer":0}],"base":11,"result_base":11,"text":"((-⋰*⋻3853)-⋰*⋻952∑⇟⊟⋰*⋻858)⋥≓≎(⋰*⋻3675≹⇙⪍⋰*⋻2697⫸⊐⋰*⋻3537⨳⩥⨓⋰*⋻6422)⊭↱(∂((⋰*⋻1281↪⪝)⨽⋰*⋻4108⨽⋰*⋻227A))=Inf","reverse_text":"Inf=((-⋰*⋻3853)-⋰*⋻952∑⇟⊟⋰*⋻858)⋥≓≎(⋰*⋻3675≹⇙⪍⋰*⋻2697⫸⊐⋰*⋻3537⨳⩥⨓⋰*⋻6422)⊭↱(∂((⋰*⋻1281↪⪝)⨽⋰*⋻4108⨽⋰*⋻227A))","cot":[{"info":"-⋰*⋻3853=⋰*⋻-3853","layer":3},{"info":"⋰*⋻952∑⇟⊟⋰*⋻858=NaN","layer":3},{"info":"⋰*⋻-3853-NaN=NaN","layer":2},{"info":"⋰*⋻3675≹⇙⪍⋰*⋻2697=NaN","layer":3},{"info":"⋰*⋻3537⨳⩥⨓⋰*⋻6422=⋰*⋻2996","layer":3},{"info":"NaN⫸⊐⋰*⋻2996=NaN","layer":2},{"info":"NaN⋥≓≎NaN=⋰*⋻61","layer":1},{"info":"⋰*⋻1281↪⪝=⋰*⋻52442070","layer":3},{"info":"⋰*⋻4108⨽⋰*⋻227A=⋰*⋻-463A4298","layer":3},{"info":"⋰*⋻52442070⨽⋰*⋻-463A4298=-Inf","layer":2},{"info":"∂-Inf=Inf","layer":1},{"info":"⋰*⋻61⊭↱Inf=Inf","layer":0}]}
{"id":972,"expression_no_base_symbol":"≤/(($2086$⋓$5453$∲⫓$2818$⇷$6274$)⋫)","expression":"≤/((⋰*⋻1627⋓⋰*⋻4108∲⫓⋰*⋻2132⇷⋰*⋻4794)⋫)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":39475,"operation_count":5,"complexity_ratio":7895.0,"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":2086,"base":11},"right_expr":{"type":"numeric_atoms","value":5453,"base":11}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2818,"base":11},"right_expr":{"type":"numeric_atoms","value":6274,"base":11}}}}},"used_operators":["eLAdDNolq6","JL8yIekQnl","i8ToyICDmI","T2fj7uvVaJ","mp7IySMOzn"],"dependent_operators":["rysDP5nf3Z","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⋰*⋻400","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2086","layer":4},{"info":"number node, value=5453","layer":4},{"info":"compute binary expreesion, left_input=2086, right_input=5453, op_id = T2fj7uvVaJ binary_op_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=2818","layer":4},{"info":"number node, value=6274","layer":4},{"info":"compute binary expreesion, left_input=2818, right_input=6274, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=12548","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=12548, 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 = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=484","layer":0}],"base":11,"result_base":11,"text":"≤/((⋰*⋻1627⋓⋰*⋻4108∲⫓⋰*⋻2132⇷⋰*⋻4794)⋫)=⋰*⋻400","reverse_text":"⋰*⋻400=≤/((⋰*⋻1627⋓⋰*⋻4108∲⫓⋰*⋻2132⇷⋰*⋻4794)⋫)","cot":[{"info":"⋰*⋻1627⋓⋰*⋻4108=⋰*⋻0","layer":3},{"info":"⋰*⋻2132⇷⋰*⋻4794=⋰*⋻9478","layer":3},{"info":"⋰*⋻0∲⫓⋰*⋻9478=⋰*⋻0","layer":2},{"info":"⋰*⋻0⋫=⋰*⋻0","layer":1},{"info":"≤/⋰*⋻0=⋰*⋻400","layer":0}]}
{"id":973,"expression_no_base_symbol":"(⪲⇎(($2214$⨵⪆$6797$)⪄(+⊝⨔$7117$)))⇼⇔∾(⋗⩬⋾$4968$)≎⊠⪸$3077$⪛$5491$⫥∨⫟($5379$∼$3540$⫥∨⫟($2807$⫌⩹⨱))","expression":"(⪲⇎((⋰*⋻1733⨵⪆⋰*⋻511A)⪄(+⊝⨔⋰*⋻5390)))⇼⇔∾(⋗⩬⋾⋰*⋻3807)≎⊠⪸⋰*⋻2348⪛⋰*⋻4142⫥∨⫟(⋰*⋻4050∼⋰*⋻2729⫥∨⫟(⋰*⋻2122⫌⩹⨱))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":840,"operation_count":12,"complexity_ratio":70.0,"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":2214,"base":11},"right_expr":{"type":"numeric_atoms","value":6797,"base":11}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":7117,"base":11}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":4968,"base":11}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3077,"base":11},"right_expr":{"type":"numeric_atoms","value":5491,"base":11}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5379,"base":11},"right_expr":{"type":"numeric_atoms","value":3540,"base":11}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":2807,"base":11}}}}},"used_operators":["tifHPKVTfV","XPYlsWDdGa","SUmda5xLS4","2DQ55sFlQl","DhbWaqg5eL","KYD54nUTWz","bJkvcejdHO","DpFCA1CohY","uFcxV4UQCh","DyGG3AbaNP","EBcxylXtPf"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2214","layer":4},{"info":"number node, value=6797","layer":4},{"info":"compute binary expreesion, left_input=2214, right_input=6797, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=7117","layer":4},{"info":"compute unary expreesion, input=7117, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=1522, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-25857","layer":2},{"info":"compute unary expreesion, input=-25857, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-51714","layer":1},{"info":"number node, value=4968","layer":4},{"info":"compute unary expreesion, input=4968, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-14904","layer":3},{"info":"number node, value=3077","layer":4},{"info":"number node, value=5491","layer":4},{"info":"compute binary expreesion, left_input=3077, right_input=5491, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3077","layer":3},{"info":"compute binary expreesion, left_input=-14904, right_input=3077, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=3860136","layer":2},{"info":"number node, value=5379","layer":4},{"info":"number node, value=3540","layer":4},{"info":"compute binary expreesion, left_input=5379, right_input=3540, 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=2807","layer":4},{"info":"compute unary expreesion, input=2807, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=7015","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7015, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3860136, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-51714, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⪲⇎((⋰*⋻1733⨵⪆⋰*⋻511A)⪄(+⊝⨔⋰*⋻5390)))⇼⇔∾(⋗⩬⋾⋰*⋻3807)≎⊠⪸⋰*⋻2348⪛⋰*⋻4142⫥∨⫟(⋰*⋻4050∼⋰*⋻2729⫥∨⫟(⋰*⋻2122⫌⩹⨱))=NaN","reverse_text":"NaN=(⪲⇎((⋰*⋻1733⨵⪆⋰*⋻511A)⪄(+⊝⨔⋰*⋻5390)))⇼⇔∾(⋗⩬⋾⋰*⋻3807)≎⊠⪸⋰*⋻2348⪛⋰*⋻4142⫥∨⫟(⋰*⋻4050∼⋰*⋻2729⫥∨⫟(⋰*⋻2122⫌⩹⨱))","cot":[{"info":"⋰*⋻1733⨵⪆⋰*⋻511A=⋰*⋻136","layer":3},{"info":"+⊝⨔⋰*⋻5390=⋰*⋻1164","layer":3},{"info":"⋰*⋻136⪄⋰*⋻1164=⋰*⋻-18477","layer":2},{"info":"⪲⇎⋰*⋻-18477=⋰*⋻-35943","layer":1},{"info":"⋗⩬⋾⋰*⋻3807=⋰*⋻-1021A","layer":3},{"info":"⋰*⋻2348⪛⋰*⋻4142=⋰*⋻2348","layer":3},{"info":"⋰*⋻-1021A≎⊠⪸⋰*⋻2348=⋰*⋻21A71A5","layer":2},{"info":"⋰*⋻4050∼⋰*⋻2729=NaN","layer":3},{"info":"⋰*⋻2122⫌⩹⨱=⋰*⋻52A8","layer":3},{"info":"NaN⫥∨⫟⋰*⋻52A8=NaN","layer":2},{"info":"⋰*⋻21A71A5⫥∨⫟NaN=NaN","layer":1},{"info":"⋰*⋻-35943⇼⇔∾NaN=NaN","layer":0}]}
{"id":974,"expression_no_base_symbol":"(($3951$⫩⊇)⋳⪒($1650$≦≮≮)⋳⪒(↥($8940$⪒$6047$)))⨪↰⇹($2859$⨟⋌⩍$1854$∲⫓$1438$⋳⪒$1633$)⊴(↣≠⋷$5881$)≹⇙⪍(⫛⫱⨽$6304$)","expression":"((⋰*⋻2A72⫩⊇)⋳⪒(⋰*⋻1270≦≮≮)⋳⪒(↥(⋰*⋻6798⪒⋰*⋻45A8)))⨪↰⇹(⋰*⋻216A⨟⋌⩍⋰*⋻1436∲⫓⋰*⋻1098⋳⪒⋰*⋻1255)⊴(↣≠⋷⋰*⋻4467)≹⇙⪍(⫛⫱⨽⋰*⋻4811)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":8362,"operation_count":14,"complexity_ratio":597.2857142857143,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":3951,"base":11}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1650,"base":11}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":8940,"base":11},"right_expr":{"type":"numeric_atoms","value":6047,"base":11}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2859,"base":11},"right_expr":{"type":"numeric_atoms","value":1854,"base":11}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1438,"base":11},"right_expr":{"type":"numeric_atoms","value":1633,"base":11}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":5881,"base":11}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":6304,"base":11}}}}},"used_operators":["tmPS8pqC7x","12rbrZMWeM","BjRHVeLaeN","D4vGDi5EA2","A8NUZmVepG","f6k1SAg4EE","Nsiff2A1zJ","i8ToyICDmI","rGHVDoGpnC","AHs5Up7iyr","Asc51vEJeQ","DlLNRPXxWL"],"dependent_operators":["rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","dWAJyo7jo9","XhwjNDsVaA","AHs5Up7iyr","rGHVDoGpnC"],"result":"⋰*⋻-4A64","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3951","layer":4},{"info":"compute unary expreesion, input=3951, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-3909","layer":3},{"info":"number node, value=1650","layer":4},{"info":"compute unary expreesion, input=1650, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-4950","layer":3},{"info":"compute binary expreesion, left_input=-3909, right_input=-4950, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-3155","layer":2},{"info":"number node, value=8940","layer":4},{"info":"number node, value=6047","layer":4},{"info":"compute binary expreesion, left_input=8940, right_input=6047, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-14987","layer":3},{"info":"compute unary expreesion, input=-14987, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=7","layer":2},{"info":"compute binary expreesion, left_input=-3155, right_input=7, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-6604","layer":1},{"info":"number node, value=2859","layer":4},{"info":"number node, value=1854","layer":4},{"info":"compute binary expreesion, left_input=2859, right_input=1854, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1438","layer":4},{"info":"number node, value=1633","layer":4},{"info":"compute binary expreesion, left_input=1438, right_input=1633, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=956","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=956, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=5881","layer":4},{"info":"compute unary expreesion, input=5881, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=6304","layer":4},{"info":"compute unary expreesion, input=6304, 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 = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-6604, 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=-6604","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻2A72⫩⊇)⋳⪒(⋰*⋻1270≦≮≮)⋳⪒(↥(⋰*⋻6798⪒⋰*⋻45A8)))⨪↰⇹(⋰*⋻216A⨟⋌⩍⋰*⋻1436∲⫓⋰*⋻1098⋳⪒⋰*⋻1255)⊴(↣≠⋷⋰*⋻4467)≹⇙⪍(⫛⫱⨽⋰*⋻4811)=⋰*⋻-4A64","reverse_text":"⋰*⋻-4A64=((⋰*⋻2A72⫩⊇)⋳⪒(⋰*⋻1270≦≮≮)⋳⪒(↥(⋰*⋻6798⪒⋰*⋻45A8)))⨪↰⇹(⋰*⋻216A⨟⋌⩍⋰*⋻1436∲⫓⋰*⋻1098⋳⪒⋰*⋻1255)⊴(↣≠⋷⋰*⋻4467)≹⇙⪍(⫛⫱⨽⋰*⋻4811)","cot":[{"info":"⋰*⋻2A72⫩⊇=⋰*⋻-2A34","layer":3},{"info":"⋰*⋻1270≦≮≮=⋰*⋻-37A0","layer":3},{"info":"⋰*⋻-2A34⋳⪒⋰*⋻-37A0=⋰*⋻-2409","layer":2},{"info":"⋰*⋻6798⪒⋰*⋻45A8=⋰*⋻-10295","layer":3},{"info":"↥⋰*⋻-10295=⋰*⋻7","layer":2},{"info":"⋰*⋻-2409⋳⪒⋰*⋻7=⋰*⋻-4A64","layer":1},{"info":"⋰*⋻216A⨟⋌⩍⋰*⋻1436=NaN","layer":3},{"info":"⋰*⋻1098⋳⪒⋰*⋻1255=⋰*⋻79A","layer":3},{"info":"NaN∲⫓⋰*⋻79A=⋰*⋻0","layer":2},{"info":"↣≠⋷⋰*⋻4467=NaN","layer":3},{"info":"⫛⫱⨽⋰*⋻4811=⋰*⋻0","layer":3},{"info":"NaN≹⇙⪍⋰*⋻0=NaN","layer":2},{"info":"⋰*⋻0⊴NaN=NaN","layer":1},{"info":"⋰*⋻-4A64⨪↰⇹NaN=⋰*⋻-4A64","layer":0}]}
{"id":975,"expression_no_base_symbol":"(↔(⊙↵-(↯⪼$1368$)))⪒(∂($1400$∲⫓$1428$))⇷$1559$∼$3155$⪘⫢$8076$⨪↰⇹$1161$","expression":"(↔(⊙↵-(↯⪼⋰*⋻1034)))⪒(∂(⋰*⋻1063∲⫓⋰*⋻1089))⇷⋰*⋻1198∼⋰*⋻2409⪘⫢⋰*⋻6082⨪↰⇹⋰*⋻966","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":12329,"operation_count":10,"complexity_ratio":1232.9,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1368,"base":11}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1400,"base":11},"right_expr":{"type":"numeric_atoms","value":1428,"base":11}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1559,"base":11},"right_expr":{"type":"numeric_atoms","value":3155,"base":11}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":8076,"base":11},"right_expr":{"type":"numeric_atoms","value":1161,"base":11}}}}},"used_operators":["f6k1SAg4EE","ruOEQAzv1W","oWn0xqSxBt","8jW3W4yZS5","mp7IySMOzn","Uaa54Peajs","i8ToyICDmI","oacrs7FA3X","DyGG3AbaNP","tmPS8pqC7x"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1368","layer":4},{"info":"compute unary expreesion, input=1368, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"compute unary expreesion, input=-21, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":2},{"info":"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":"number node, value=1400","layer":4},{"info":"number node, value=1428","layer":4},{"info":"compute binary expreesion, left_input=1400, right_input=1428, 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 = 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":"number node, value=1559","layer":4},{"info":"number node, value=3155","layer":4},{"info":"compute binary expreesion, left_input=1559, right_input=3155, 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=8076","layer":4},{"info":"number node, value=1161","layer":4},{"info":"compute binary expreesion, left_input=8076, right_input=1161, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=8076","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8076, 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=-264, 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=789, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(↔(⊙↵-(↯⪼⋰*⋻1034)))⪒(∂(⋰*⋻1063∲⫓⋰*⋻1089))⇷⋰*⋻1198∼⋰*⋻2409⪘⫢⋰*⋻6082⨪↰⇹⋰*⋻966=NaN","reverse_text":"NaN=(↔(⊙↵-(↯⪼⋰*⋻1034)))⪒(∂(⋰*⋻1063∲⫓⋰*⋻1089))⇷⋰*⋻1198∼⋰*⋻2409⪘⫢⋰*⋻6082⨪↰⇹⋰*⋻966","cot":[{"info":"↯⪼⋰*⋻1034=⋰*⋻-1A","layer":3},{"info":"⊙↵-⋰*⋻-1A=⋰*⋻0","layer":2},{"info":"↔⋰*⋻0=⋰*⋻658","layer":1},{"info":"⋰*⋻1063∲⫓⋰*⋻1089=⋰*⋻0","layer":3},{"info":"∂⋰*⋻0=⋰*⋻-220","layer":2},{"info":"⋰*⋻1198∼⋰*⋻2409=NaN","layer":3},{"info":"⋰*⋻6082⨪↰⇹⋰*⋻966=⋰*⋻6082","layer":3},{"info":"NaN⪘⫢⋰*⋻6082=NaN","layer":2},{"info":"⋰*⋻-220⇷NaN=NaN","layer":1},{"info":"⋰*⋻658⪒NaN=NaN","layer":0}]}
{"id":976,"expression_no_base_symbol":"(($4759$⪄$1508$)⨪↰⇹($1778$⋷$1932$))⨟⋌⩍($2961$⫸⊐$1843$⨵⪆(⨵≀≌$3440$))⪘⫢((($1192$⫡⨏$5027$)⨳⩥⨓($6032$%$7485$))≭(($1805$+$1233$)%$1496$⫸⊐$1549$))","expression":"((⋰*⋻3637⪄⋰*⋻1151)⨪↰⇹(⋰*⋻1377⋷⋰*⋻14A7))⨟⋌⩍(⋰*⋻2252⫸⊐⋰*⋻1426⨵⪆(⨵≀≌⋰*⋻2648))⪘⫢(((⋰*⋻994⫡⨏⋰*⋻3860)⨳⩥⨓(⋰*⋻4594%⋰*⋻5695))≭((⋰*⋻13A1+⋰*⋻A21)%⋰*⋻1140⫸⊐⋰*⋻1189))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":707776,"operation_count":15,"complexity_ratio":47185.066666666666,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4759,"base":11},"right_expr":{"type":"numeric_atoms","value":1508,"base":11}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1778,"base":11},"right_expr":{"type":"numeric_atoms","value":1932,"base":11}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2961,"base":11},"right_expr":{"type":"numeric_atoms","value":1843,"base":11}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":3440,"base":11}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1192,"base":11},"right_expr":{"type":"numeric_atoms","value":5027,"base":11}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":6032,"base":11},"right_expr":{"type":"numeric_atoms","value":7485,"base":11}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1805,"base":11},"right_expr":{"type":"numeric_atoms","value":1233,"base":11}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1496,"base":11},"right_expr":{"type":"numeric_atoms","value":1549,"base":11}}}}},"used_operators":["oacrs7FA3X","rGHVDoGpnC","tmPS8pqC7x","SUmda5xLS4","23Mk6UjR3U","2DQ55sFlQl","mqXw5SEYmG","srAu1WTS94","rxpJgHHUmx","nCS4ZIUYfx","QMFrweE19q","k8jYdgA6NY","W4YGzv6Whe"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","Tcnh7f0tEr","rJVOvQCfKK","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4759","layer":4},{"info":"number node, value=1508","layer":4},{"info":"compute binary expreesion, left_input=4759, right_input=1508, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-706453","layer":3},{"info":"number node, value=1778","layer":4},{"info":"number node, value=1932","layer":4},{"info":"compute binary expreesion, left_input=1778, right_input=1932, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2086","layer":3},{"info":"compute binary expreesion, left_input=-706453, right_input=2086, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=706453","layer":2},{"info":"number node, value=2961","layer":4},{"info":"number node, value=1843","layer":4},{"info":"compute binary expreesion, left_input=2961, right_input=1843, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=7247","layer":3},{"info":"number node, value=3440","layer":4},{"info":"compute unary expreesion, input=3440, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-10320","layer":3},{"info":"compute binary expreesion, left_input=7247, right_input=-10320, 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=706453, right_input=160, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=0","layer":1},{"info":"number node, value=1192","layer":4},{"info":"number node, value=5027","layer":4},{"info":"compute binary expreesion, left_input=1192, right_input=5027, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=16797","layer":3},{"info":"number node, value=6032","layer":4},{"info":"number node, value=7485","layer":4},{"info":"compute binary expreesion, left_input=6032, right_input=7485, op_id = k8jYdgA6NY binary_op_definition= 'None', output=6032","layer":3},{"info":"compute binary expreesion, left_input=16797, right_input=6032, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-10765","layer":2},{"info":"number node, value=1805","layer":4},{"info":"number node, value=1233","layer":4},{"info":"compute binary expreesion, left_input=1805, right_input=1233, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3038","layer":3},{"info":"number node, value=1496","layer":4},{"info":"number node, value=1549","layer":4},{"info":"compute binary expreesion, left_input=1496, right_input=1549, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6071","layer":3},{"info":"compute binary expreesion, left_input=3038, right_input=6071, op_id = k8jYdgA6NY binary_op_definition= 'None', output=3038","layer":2},{"info":"compute binary expreesion, left_input=-10765, right_input=3038, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = 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":11,"result_base":11,"text":"((⋰*⋻3637⪄⋰*⋻1151)⨪↰⇹(⋰*⋻1377⋷⋰*⋻14A7))⨟⋌⩍(⋰*⋻2252⫸⊐⋰*⋻1426⨵⪆(⨵≀≌⋰*⋻2648))⪘⫢(((⋰*⋻994⫡⨏⋰*⋻3860)⨳⩥⨓(⋰*⋻4594%⋰*⋻5695))≭((⋰*⋻13A1+⋰*⋻A21)%⋰*⋻1140⫸⊐⋰*⋻1189))=NaN","reverse_text":"NaN=((⋰*⋻3637⪄⋰*⋻1151)⨪↰⇹(⋰*⋻1377⋷⋰*⋻14A7))⨟⋌⩍(⋰*⋻2252⫸⊐⋰*⋻1426⨵⪆(⨵≀≌⋰*⋻2648))⪘⫢(((⋰*⋻994⫡⨏⋰*⋻3860)⨳⩥⨓(⋰*⋻4594%⋰*⋻5695))≭((⋰*⋻13A1+⋰*⋻A21)%⋰*⋻1140⫸⊐⋰*⋻1189))","cot":[{"info":"⋰*⋻3637⪄⋰*⋻1151=⋰*⋻-442850","layer":3},{"info":"⋰*⋻1377⋷⋰*⋻14A7=⋰*⋻1627","layer":3},{"info":"⋰*⋻-442850⨪↰⇹⋰*⋻1627=⋰*⋻442850","layer":2},{"info":"⋰*⋻2252⫸⊐⋰*⋻1426=⋰*⋻5499","layer":3},{"info":"⨵≀≌⋰*⋻2648=⋰*⋻-7832","layer":3},{"info":"⋰*⋻5499⨵⪆⋰*⋻-7832=⋰*⋻136","layer":2},{"info":"⋰*⋻442850⨟⋌⩍⋰*⋻136=⋰*⋻0","layer":1},{"info":"⋰*⋻994⫡⨏⋰*⋻3860=⋰*⋻11690","layer":3},{"info":"⋰*⋻4594%⋰*⋻5695=⋰*⋻4594","layer":3},{"info":"⋰*⋻11690⨳⩥⨓⋰*⋻4594=⋰*⋻-80A7","layer":2},{"info":"⋰*⋻13A1+⋰*⋻A21=⋰*⋻2312","layer":3},{"info":"⋰*⋻1140⫸⊐⋰*⋻1189=⋰*⋻461A","layer":3},{"info":"⋰*⋻2312%⋰*⋻461A=⋰*⋻2312","layer":2},{"info":"⋰*⋻-80A7≭⋰*⋻2312=NaN","layer":1},{"info":"⋰*⋻0⪘⫢NaN=NaN","layer":0}]}
{"id":977,"expression_no_base_symbol":"($3786$⇷$1643$≭($2098$⊦⊿))⨓($1232$⪐)↬($5751$⨎$1175$)⋝⋈⪟(∂(($3359$+$1720$)≋⫹))","expression":"(⋰*⋻2932⇷⋰*⋻1264≭(⋰*⋻1638⊦⊿))⨓(⋰*⋻A20⪐)↬(⋰*⋻4359⨎⋰*⋻979)⋝⋈⪟(∂((⋰*⋻2584+⋰*⋻1324)≋⫹))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":53452,"operation_count":11,"complexity_ratio":4859.272727272727,"tree":{"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":11},"right_expr":{"type":"numeric_atoms","value":1643,"base":11}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":2098,"base":11}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1232,"base":11}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5751,"base":11},"right_expr":{"type":"numeric_atoms","value":1175,"base":11}}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3359,"base":11},"right_expr":{"type":"numeric_atoms","value":1720,"base":11}}}}},"used_operators":["2DDjHMKMc0","3ViojmjbAp","rxpJgHHUmx","mp7IySMOzn","14qkJME0vr","B5M0gjZbta","eH2TOUuTDT","rJVOvQCfKK","Uaa54Peajs","N41Kp7NANJ","W4YGzv6Whe"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3786","layer":4},{"info":"number node, value=1643","layer":4},{"info":"compute binary expreesion, left_input=3786, right_input=1643, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3286","layer":3},{"info":"number node, value=2098","layer":4},{"info":"compute unary expreesion, input=2098, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-6373","layer":3},{"info":"compute binary expreesion, left_input=3286, right_input=-6373, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1232","layer":4},{"info":"compute unary expreesion, input=1232, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2464","layer":3},{"info":"number node, value=5751","layer":4},{"info":"number node, value=1175","layer":4},{"info":"compute binary expreesion, left_input=5751, right_input=1175, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1175","layer":3},{"info":"compute binary expreesion, left_input=2464, right_input=1175, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=3359","layer":4},{"info":"number node, value=1720","layer":4},{"info":"compute binary expreesion, left_input=3359, right_input=1720, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5079","layer":3},{"info":"compute unary expreesion, input=5079, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-10158","layer":2},{"info":"compute unary expreesion, input=-10158, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=9894","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=9894, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻2932⇷⋰*⋻1264≭(⋰*⋻1638⊦⊿))⨓(⋰*⋻A20⪐)↬(⋰*⋻4359⨎⋰*⋻979)⋝⋈⪟(∂((⋰*⋻2584+⋰*⋻1324)≋⫹))=NaN","reverse_text":"NaN=(⋰*⋻2932⇷⋰*⋻1264≭(⋰*⋻1638⊦⊿))⨓(⋰*⋻A20⪐)↬(⋰*⋻4359⨎⋰*⋻979)⋝⋈⪟(∂((⋰*⋻2584+⋰*⋻1324)≋⫹))","cot":[{"info":"⋰*⋻2932⇷⋰*⋻1264=⋰*⋻2518","layer":3},{"info":"⋰*⋻1638⊦⊿=⋰*⋻-4874","layer":3},{"info":"⋰*⋻2518≭⋰*⋻-4874=NaN","layer":2},{"info":"⋰*⋻A20⪐=⋰*⋻1940","layer":3},{"info":"⋰*⋻4359⨎⋰*⋻979=⋰*⋻979","layer":3},{"info":"⋰*⋻1940↬⋰*⋻979=NaN","layer":2},{"info":"NaN⨓NaN=NaN","layer":1},{"info":"⋰*⋻2584+⋰*⋻1324=⋰*⋻38A8","layer":3},{"info":"⋰*⋻38A8≋⫹=⋰*⋻-76A5","layer":2},{"info":"∂⋰*⋻-76A5=⋰*⋻7485","layer":1},{"info":"NaN⋝⋈⪟⋰*⋻7485=NaN","layer":0}]}
{"id":978,"expression_no_base_symbol":"(($3869$↙$2420$⪄($3882$↪⪝))⨓((∥⊫$3840$)⪄($2468$≦≮≮)))∧","expression":"((⋰*⋻29A8↙⋰*⋻1900⪄(⋰*⋻2A0A↪⪝))⨓((∥⊫⋰*⋻2981)⪄(⋰*⋻1944≦≮≮)))∧","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":666588,"operation_count":8,"complexity_ratio":83323.5,"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":3869,"base":11},"right_expr":{"type":"numeric_atoms","value":2420,"base":11}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":3882,"base":11}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":3840,"base":11}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":2468,"base":11}}}}},"used_operators":["z63VuFQld9","3ViojmjbAp","SUmda5xLS4","yyfyN0ffXY","l07mrZUIn9","P8v4zCKN1o","D4vGDi5EA2"],"dependent_operators":["B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","tmPS8pqC7x","DpFCA1CohY","9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3869","layer":4},{"info":"number node, value=2420","layer":4},{"info":"compute binary expreesion, left_input=3869, right_input=2420, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-7260","layer":3},{"info":"number node, value=3882","layer":4},{"info":"compute unary expreesion, input=3882, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=237508524","layer":3},{"info":"compute binary expreesion, left_input=-7260, right_input=237508524, 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=3840","layer":4},{"info":"compute unary expreesion, input=3840, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4708","layer":3},{"info":"number node, value=2468","layer":4},{"info":"compute unary expreesion, input=2468, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-7404","layer":3},{"info":"compute binary expreesion, left_input=4708, right_input=-7404, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-663257","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=-663257, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-663260","layer":1},{"info":"compute unary expreesion, input=-663260, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=0","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻29A8↙⋰*⋻1900⪄(⋰*⋻2A0A↪⪝))⨓((∥⊫⋰*⋻2981)⪄(⋰*⋻1944≦≮≮)))∧=⋰*⋻0","reverse_text":"⋰*⋻0=((⋰*⋻29A8↙⋰*⋻1900⪄(⋰*⋻2A0A↪⪝))⨓((∥⊫⋰*⋻2981)⪄(⋰*⋻1944≦≮≮)))∧","cot":[{"info":"⋰*⋻29A8↙⋰*⋻1900=⋰*⋻-5500","layer":3},{"info":"⋰*⋻2A0A↪⪝=⋰*⋻112081740","layer":3},{"info":"⋰*⋻-5500⪄⋰*⋻112081740=⋰*⋻2A98","layer":2},{"info":"∥⊫⋰*⋻2981=⋰*⋻35A0","layer":3},{"info":"⋰*⋻1944≦≮≮=⋰*⋻-5621","layer":3},{"info":"⋰*⋻35A0⪄⋰*⋻-5621=⋰*⋻-413351","layer":2},{"info":"⋰*⋻2A98⨓⋰*⋻-413351=⋰*⋻-413354","layer":1},{"info":"⋰*⋻-413354∧=⋰*⋻0","layer":0}]}
{"id":979,"expression_no_base_symbol":"((⪲⇎$2915$)%$1391$⪄$3173$)⇷(↯⪼($2603$⋳⪒$1787$))+⇶⊼((↯⪼$4663$)+⇶⊼($2109$⊦⊿))⨟⋌⩍(($4754$≋⫹)↙($4400$⋫))","expression":"((⪲⇎⋰*⋻2210)%⋰*⋻1055⪄⋰*⋻2425)⇷(↯⪼(⋰*⋻1A57⋳⪒⋰*⋻1385))+⇶⊼((↯⪼⋰*⋻355A)+⇶⊼(⋰*⋻1648⊦⊿))⨟⋌⩍((⋰*⋻3632≋⫹)↙(⋰*⋻3340⋫))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2928052,"operation_count":14,"complexity_ratio":209146.57142857142,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":2915,"base":11}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1391,"base":11},"right_expr":{"type":"numeric_atoms","value":3173,"base":11}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2603,"base":11},"right_expr":{"type":"numeric_atoms","value":1787,"base":11}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":4663,"base":11}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":2109,"base":11}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":4754,"base":11}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":4400,"base":11}}}}},"used_operators":["TpPTUOHfaN","mp7IySMOzn","k8jYdgA6NY","XPYlsWDdGa","SUmda5xLS4","8jW3W4yZS5","12rbrZMWeM","rGHVDoGpnC","14qkJME0vr","yyfyN0ffXY","N41Kp7NANJ","JL8yIekQnl"],"dependent_operators":["AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2915","layer":4},{"info":"compute unary expreesion, input=2915, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=5830","layer":3},{"info":"number node, value=1391","layer":4},{"info":"number node, value=3173","layer":4},{"info":"compute binary expreesion, left_input=1391, right_input=3173, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-214649","layer":3},{"info":"compute binary expreesion, left_input=5830, right_input=-214649, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-208819","layer":2},{"info":"number node, value=2603","layer":4},{"info":"number node, value=1787","layer":4},{"info":"compute binary expreesion, left_input=2603, right_input=1787, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3132","layer":3},{"info":"compute unary expreesion, input=3132, 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=-208819, right_input=-21, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=-42","layer":1},{"info":"number node, value=4663","layer":4},{"info":"compute unary expreesion, input=4663, 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=2109","layer":4},{"info":"compute unary expreesion, input=2109, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-6406","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-6406, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=4754","layer":4},{"info":"compute unary expreesion, input=4754, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-9508","layer":3},{"info":"number node, value=4400","layer":4},{"info":"compute unary expreesion, input=4400, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=4400","layer":3},{"info":"compute binary expreesion, left_input=-9508, right_input=4400, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-9508","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-9508, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=-42, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⪲⇎⋰*⋻2210)%⋰*⋻1055⪄⋰*⋻2425)⇷(↯⪼(⋰*⋻1A57⋳⪒⋰*⋻1385))+⇶⊼((↯⪼⋰*⋻355A)+⇶⊼(⋰*⋻1648⊦⊿))⨟⋌⩍((⋰*⋻3632≋⫹)↙(⋰*⋻3340⋫))=NaN","reverse_text":"NaN=((⪲⇎⋰*⋻2210)%⋰*⋻1055⪄⋰*⋻2425)⇷(↯⪼(⋰*⋻1A57⋳⪒⋰*⋻1385))+⇶⊼((↯⪼⋰*⋻355A)+⇶⊼(⋰*⋻1648⊦⊿))⨟⋌⩍((⋰*⋻3632≋⫹)↙(⋰*⋻3340⋫))","cot":[{"info":"⪲⇎⋰*⋻2210=⋰*⋻4420","layer":3},{"info":"⋰*⋻1055⪄⋰*⋻2425=⋰*⋻-1372A6","layer":3},{"info":"⋰*⋻4420%⋰*⋻-1372A6=⋰*⋻-132986","layer":2},{"info":"⋰*⋻1A57⋳⪒⋰*⋻1385=⋰*⋻2398","layer":3},{"info":"↯⪼⋰*⋻2398=⋰*⋻-1A","layer":2},{"info":"⋰*⋻-132986⇷⋰*⋻-1A=⋰*⋻-39","layer":1},{"info":"↯⪼⋰*⋻355A=⋰*⋻-1A","layer":3},{"info":"⋰*⋻1648⊦⊿=⋰*⋻-48A4","layer":3},{"info":"⋰*⋻-1A+⇶⊼⋰*⋻-48A4=NaN","layer":2},{"info":"⋰*⋻3632≋⫹=⋰*⋻-7164","layer":3},{"info":"⋰*⋻3340⋫=⋰*⋻3340","layer":3},{"info":"⋰*⋻-7164↙⋰*⋻3340=⋰*⋻-7164","layer":2},{"info":"NaN⨟⋌⩍⋰*⋻-7164=NaN","layer":1},{"info":"⋰*⋻-39+⇶⊼NaN=NaN","layer":0}]}
{"id":980,"expression_no_base_symbol":"(⋗⩬⋾($4777$⩚⊴⇥$3004$⊦⊿))≭(∂($4037$⩨$1805$↛⩡⫤))","expression":"(⋗⩬⋾(⋰*⋻3653⩚⊴⇥⋰*⋻2291⊦⊿))≭(∂(⋰*⋻3040⩨⋰*⋻13A1↛⩡⫤))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":500,"operation_count":7,"complexity_ratio":71.42857142857143,"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":4777,"base":11},"right_expr":{"type":"numeric_atoms","value":3004,"base":11}}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4037,"base":11},"right_expr":{"type":"numeric_atoms","value":1805,"base":11}}}}},"used_operators":["rxpJgHHUmx","DpFCA1CohY","14qkJME0vr","NTOWxs364D","Uaa54Peajs","FU0Cs4j7VP","2DlMacCsIx"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4777","layer":4},{"info":"number node, value=3004","layer":4},{"info":"compute binary expreesion, left_input=4777, right_input=3004, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7902","layer":3},{"info":"compute unary expreesion, input=-7902, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=23627","layer":2},{"info":"compute unary expreesion, input=23627, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-70881","layer":1},{"info":"number node, value=4037","layer":4},{"info":"number node, value=1805","layer":4},{"info":"compute binary expreesion, left_input=4037, right_input=1805, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=0","layer":2},{"info":"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=-70881, right_input=-264, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋗⩬⋾(⋰*⋻3653⩚⊴⇥⋰*⋻2291⊦⊿))≭(∂(⋰*⋻3040⩨⋰*⋻13A1↛⩡⫤))=NaN","reverse_text":"NaN=(⋗⩬⋾(⋰*⋻3653⩚⊴⇥⋰*⋻2291⊦⊿))≭(∂(⋰*⋻3040⩨⋰*⋻13A1↛⩡⫤))","cot":[{"info":"⋰*⋻3653⩚⊴⇥⋰*⋻2291=⋰*⋻-5A34","layer":3},{"info":"⋰*⋻-5A34⊦⊿=⋰*⋻1682A","layer":2},{"info":"⋗⩬⋾⋰*⋻1682A=⋰*⋻-49288","layer":1},{"info":"⋰*⋻3040⩨⋰*⋻13A1=⋰*⋻0","layer":3},{"info":"⋰*⋻0↛⩡⫤=⋰*⋻0","layer":2},{"info":"∂⋰*⋻0=⋰*⋻-220","layer":1},{"info":"⋰*⋻-49288≭⋰*⋻-220=NaN","layer":0}]}
{"id":981,"expression_no_base_symbol":"⨵≀≌(⪲⇎($2230$⨓$1384$)∀⇚≩($2341$≧⫂∧$2248$))","expression":"⨵≀≌(⪲⇎(⋰*⋻1748⨓⋰*⋻1049)∀⇚≩(⋰*⋻1839≧⫂∧⋰*⋻1764))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":11105,"operation_count":5,"complexity_ratio":2221.0,"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":2230,"base":11},"right_expr":{"type":"numeric_atoms","value":1384,"base":11}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2341,"base":11},"right_expr":{"type":"numeric_atoms","value":2248,"base":11}}}}},"used_operators":["srAu1WTS94","XPYlsWDdGa","LRNGc0VcxI","3ViojmjbAp","Ph9nP6C5qx"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2230","layer":4},{"info":"number node, value=1384","layer":4},{"info":"compute binary expreesion, left_input=2230, right_input=1384, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1387","layer":3},{"info":"number node, value=2341","layer":4},{"info":"number node, value=2248","layer":4},{"info":"compute binary expreesion, left_input=2341, right_input=2248, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1775","layer":3},{"info":"compute binary expreesion, left_input=-1387, right_input=1775, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":1},{"info":"compute 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":11,"result_base":11,"text":"⨵≀≌(⪲⇎(⋰*⋻1748⨓⋰*⋻1049)∀⇚≩(⋰*⋻1839≧⫂∧⋰*⋻1764))=NaN","reverse_text":"NaN=⨵≀≌(⪲⇎(⋰*⋻1748⨓⋰*⋻1049)∀⇚≩(⋰*⋻1839≧⫂∧⋰*⋻1764))","cot":[{"info":"⋰*⋻1748⨓⋰*⋻1049=⋰*⋻-1051","layer":3},{"info":"⋰*⋻1839≧⫂∧⋰*⋻1764=⋰*⋻1374","layer":3},{"info":"⋰*⋻-1051∀⇚≩⋰*⋻1374=NaN","layer":2},{"info":"⪲⇎NaN=NaN","layer":1},{"info":"⨵≀≌NaN=NaN","layer":0}]}
{"id":982,"expression_no_base_symbol":"⨈⫕($2606$⋷$6376$⫡⨏($1165$⫩⊇))≭($2848$⪢$4333$⋷$4815$≧⫂∧$2414$)","expression":"⨈⫕(⋰*⋻1A5A⋷⋰*⋻4877⫡⨏(⋰*⋻96A⫩⊇))≭(⋰*⋻215A⪢⋰*⋻328A⋷⋰*⋻3688≧⫂∧⋰*⋻18A5)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":4735,"operation_count":8,"complexity_ratio":591.875,"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":2606,"base":11},"right_expr":{"type":"numeric_atoms","value":6376,"base":11}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":1165,"base":11}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2848,"base":11},"right_expr":{"type":"numeric_atoms","value":4333,"base":11}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4815,"base":11},"right_expr":{"type":"numeric_atoms","value":2414,"base":11}}}}},"used_operators":["megm06wKyl","rxpJgHHUmx","QMFrweE19q","23Mk6UjR3U","BjRHVeLaeN","dWAJyo7jo9","Ph9nP6C5qx"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd"],"result":"⋰*⋻-1A","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2606","layer":4},{"info":"number node, value=6376","layer":4},{"info":"compute binary expreesion, left_input=2606, right_input=6376, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=10146","layer":3},{"info":"number node, value=1165","layer":4},{"info":"compute unary expreesion, input=1165, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1123","layer":3},{"info":"compute binary expreesion, left_input=10146, right_input=-1123, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=49267","layer":2},{"info":"number node, value=2848","layer":4},{"info":"number node, value=4333","layer":4},{"info":"compute binary expreesion, left_input=2848, right_input=4333, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=4815","layer":4},{"info":"number node, value=2414","layer":4},{"info":"compute binary expreesion, left_input=4815, right_input=2414, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1941","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1941, 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=49267, 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 = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":0}],"base":11,"result_base":11,"text":"⨈⫕(⋰*⋻1A5A⋷⋰*⋻4877⫡⨏(⋰*⋻96A⫩⊇))≭(⋰*⋻215A⪢⋰*⋻328A⋷⋰*⋻3688≧⫂∧⋰*⋻18A5)=⋰*⋻-1A","reverse_text":"⋰*⋻-1A=⨈⫕(⋰*⋻1A5A⋷⋰*⋻4877⫡⨏(⋰*⋻96A⫩⊇))≭(⋰*⋻215A⪢⋰*⋻328A⋷⋰*⋻3688≧⫂∧⋰*⋻18A5)","cot":[{"info":"⋰*⋻1A5A⋷⋰*⋻4877=⋰*⋻7694","layer":3},{"info":"⋰*⋻96A⫩⊇=⋰*⋻-931","layer":3},{"info":"⋰*⋻7694⫡⨏⋰*⋻-931=⋰*⋻34019","layer":2},{"info":"⋰*⋻215A⪢⋰*⋻328A=NaN","layer":3},{"info":"⋰*⋻3688≧⫂∧⋰*⋻18A5=⋰*⋻1505","layer":3},{"info":"NaN⋷⋰*⋻1505=NaN","layer":2},{"info":"⋰*⋻34019≭NaN=NaN","layer":1},{"info":"⨈⫕NaN=⋰*⋻-1A","layer":0}]}
{"id":983,"expression_no_base_symbol":"(($2380$⋥≓≎$4516$)⨓($1674$≫≃)≫≃)∲⫓($1347$⨓$1981$⋷(-$1699$))∲⫓(⇁⨣⪵$3605$)⋥≓≎($1102$⊭∹↮)","expression":"((⋰*⋻1874⋥≓≎⋰*⋻3436)⨓(⋰*⋻1292≫≃)≫≃)∲⫓(⋰*⋻1015⨓⋰*⋻1541⋷(-⋰*⋻1305))∲⫓(⇁⨣⪵⋰*⋻2788)⋥≓≎(⋰*⋻912⊭∹↮)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6775,"operation_count":12,"complexity_ratio":564.5833333333334,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2380,"base":11},"right_expr":{"type":"numeric_atoms","value":4516,"base":11}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1674,"base":11}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1347,"base":11},"right_expr":{"type":"numeric_atoms","value":1981,"base":11}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1699,"base":11}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":3605,"base":11}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1102,"base":11}}}}},"used_operators":["i8ToyICDmI","X99M06cbEe","3ViojmjbAp","Qy55tPpLXF","23Mk6UjR3U","t8gj7n24qd","inkyxCbjAn","xNBdhnnwKq"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2380","layer":4},{"info":"number node, value=4516","layer":4},{"info":"compute binary expreesion, left_input=2380, right_input=4516, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=6685","layer":3},{"info":"number node, value=1674","layer":4},{"info":"compute unary expreesion, input=1674, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=4749","layer":3},{"info":"compute binary expreesion, left_input=6685, right_input=4749, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4752","layer":2},{"info":"compute unary expreesion, input=-4752, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=-8103","layer":1},{"info":"number node, value=1347","layer":4},{"info":"number node, value=1981","layer":4},{"info":"compute binary expreesion, left_input=1347, right_input=1981, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1984","layer":3},{"info":"number node, value=1699","layer":4},{"info":"compute unary expreesion, input=1699, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1699","layer":3},{"info":"compute binary expreesion, left_input=-1984, right_input=-1699, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3968","layer":2},{"info":"number node, value=3605","layer":4},{"info":"compute unary expreesion, input=3605, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=1102","layer":4},{"info":"compute unary expreesion, input=1102, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2204","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2204, 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=3968, right_input=67, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=3968","layer":1},{"info":"compute binary expreesion, left_input=-8103, right_input=3968, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1874⋥≓≎⋰*⋻3436)⨓(⋰*⋻1292≫≃)≫≃)∲⫓(⋰*⋻1015⨓⋰*⋻1541⋷(-⋰*⋻1305))∲⫓(⇁⨣⪵⋰*⋻2788)⋥≓≎(⋰*⋻912⊭∹↮)=⋰*⋻0","reverse_text":"⋰*⋻0=((⋰*⋻1874⋥≓≎⋰*⋻3436)⨓(⋰*⋻1292≫≃)≫≃)∲⫓(⋰*⋻1015⨓⋰*⋻1541⋷(-⋰*⋻1305))∲⫓(⇁⨣⪵⋰*⋻2788)⋥≓≎(⋰*⋻912⊭∹↮)","cot":[{"info":"⋰*⋻1874⋥≓≎⋰*⋻3436=⋰*⋻5028","layer":3},{"info":"⋰*⋻1292≫≃=⋰*⋻3628","layer":3},{"info":"⋰*⋻5028⨓⋰*⋻3628=⋰*⋻-3630","layer":2},{"info":"⋰*⋻-3630≫≃=⋰*⋻-60A7","layer":1},{"info":"⋰*⋻1015⨓⋰*⋻1541=⋰*⋻-1544","layer":3},{"info":"-⋰*⋻1305=⋰*⋻-1305","layer":3},{"info":"⋰*⋻-1544⋷⋰*⋻-1305=⋰*⋻2A88","layer":2},{"info":"⇁⨣⪵⋰*⋻2788=NaN","layer":3},{"info":"⋰*⋻912⊭∹↮=⋰*⋻1724","layer":3},{"info":"NaN⋥≓≎⋰*⋻1724=⋰*⋻61","layer":2},{"info":"⋰*⋻2A88∲⫓⋰*⋻61=⋰*⋻2A88","layer":1},{"info":"⋰*⋻-60A7∲⫓⋰*⋻2A88=⋰*⋻0","layer":0}]}
{"id":984,"expression_no_base_symbol":"((⊙↵-$4121$)⋳⪒($4323$/$1359$))⨪↰⇹(⊥($1968$⨎$4471$))≧⫂∧(≦∁($3455$≫≃)↙$3593$≎⊠⪸$1535$)","expression":"((⊙↵-⋰*⋻3107)⋳⪒(⋰*⋻3280/⋰*⋻1026))⨪↰⇹(⊥(⋰*⋻152A⨎⋰*⋻33A5))≧⫂∧(≦∁(⋰*⋻2661≫≃)↙⋰*⋻2777≎⊠⪸⋰*⋻1176)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":944162,"operation_count":11,"complexity_ratio":85832.90909090909,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":4121,"base":11}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4323,"base":11},"right_expr":{"type":"numeric_atoms","value":1359,"base":11}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1968,"base":11},"right_expr":{"type":"numeric_atoms","value":4471,"base":11}}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":3455,"base":11}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3593,"base":11},"right_expr":{"type":"numeric_atoms","value":1535,"base":11}}}}},"used_operators":["Ph9nP6C5qx","tmPS8pqC7x","12rbrZMWeM","oWn0xqSxBt","XhwjNDsVaA","Q3PJZHRvZv","rJVOvQCfKK","9ICcGScMcE","yyfyN0ffXY","X99M06cbEe","bJkvcejdHO"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","fu6greOZ01","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","tmPS8pqC7x","DpFCA1CohY","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⋰*⋻-33A","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4121","layer":4},{"info":"compute unary expreesion, input=4121, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=4323","layer":4},{"info":"number node, value=1359","layer":4},{"info":"compute binary expreesion, left_input=4323, right_input=1359, op_id = XhwjNDsVaA binary_op_definition= 'None', output=3","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=3, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-292","layer":2},{"info":"number node, value=1968","layer":4},{"info":"number node, value=4471","layer":4},{"info":"compute binary expreesion, left_input=1968, right_input=4471, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4471","layer":3},{"info":"compute unary expreesion, input=4471, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-292, 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=-292","layer":1},{"info":"number node, value=3455","layer":4},{"info":"compute unary expreesion, input=3455, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=8311","layer":3},{"info":"number node, value=3593","layer":4},{"info":"number node, value=1535","layer":4},{"info":"compute binary expreesion, left_input=3593, right_input=1535, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=930114","layer":3},{"info":"compute binary expreesion, left_input=8311, right_input=930114, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-2790342","layer":2},{"info":"compute unary expreesion, input=-2790342, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=-292, right_input=67, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-406","layer":0}],"base":11,"result_base":11,"text":"((⊙↵-⋰*⋻3107)⋳⪒(⋰*⋻3280/⋰*⋻1026))⨪↰⇹(⊥(⋰*⋻152A⨎⋰*⋻33A5))≧⫂∧(≦∁(⋰*⋻2661≫≃)↙⋰*⋻2777≎⊠⪸⋰*⋻1176)=⋰*⋻-33A","reverse_text":"⋰*⋻-33A=((⊙↵-⋰*⋻3107)⋳⪒(⋰*⋻3280/⋰*⋻1026))⨪↰⇹(⊥(⋰*⋻152A⨎⋰*⋻33A5))≧⫂∧(≦∁(⋰*⋻2661≫≃)↙⋰*⋻2777≎⊠⪸⋰*⋻1176)","cot":[{"info":"⊙↵-⋰*⋻3107=⋰*⋻-1","layer":3},{"info":"⋰*⋻3280/⋰*⋻1026=⋰*⋻3","layer":3},{"info":"⋰*⋻-1⋳⪒⋰*⋻3=⋰*⋻-246","layer":2},{"info":"⋰*⋻152A⨎⋰*⋻33A5=⋰*⋻33A5","layer":3},{"info":"⊥⋰*⋻33A5=NaN","layer":2},{"info":"⋰*⋻-246⨪↰⇹NaN=⋰*⋻-246","layer":1},{"info":"⋰*⋻2661≫≃=⋰*⋻6276","layer":3},{"info":"⋰*⋻2777≎⊠⪸⋰*⋻1176=⋰*⋻585899","layer":3},{"info":"⋰*⋻6276↙⋰*⋻585899=⋰*⋻-1636475","layer":2},{"info":"≦∁⋰*⋻-1636475=⋰*⋻61","layer":1},{"info":"⋰*⋻-246≧⫂∧⋰*⋻61=⋰*⋻-33A","layer":0}]}
{"id":985,"expression_no_base_symbol":"((∥⊫$5415$≭$3167$)⨽(⨞⊢$1886$⪮%⊝$2190$))⨪↰⇹(($2213$⋥≓≎$1505$)≧⫂∧($5165$⨰$1729$))∀⇚≩($2930$⨽$2256$)≹⇙⪍($6792$↺$2027$)","expression":"((∥⊫⋰*⋻4083≭⋰*⋻241A)⨽(⨞⊢⋰*⋻1465⪮%⊝⋰*⋻1711))⨪↰⇹((⋰*⋻1732⋥≓≎⋰*⋻1149)≧⫂∧(⋰*⋻3976⨰⋰*⋻1332))∀⇚≩(⋰*⋻2224⨽⋰*⋻1771)≹⇙⪍(⋰*⋻5115↺⋰*⋻1583)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":23790,"operation_count":13,"complexity_ratio":1830.0,"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":5415,"base":11},"right_expr":{"type":"numeric_atoms","value":3167,"base":11}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1886,"base":11},"right_expr":{"type":"numeric_atoms","value":2190,"base":11}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2213,"base":11},"right_expr":{"type":"numeric_atoms","value":1505,"base":11}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":5165,"base":11},"right_expr":{"type":"numeric_atoms","value":1729,"base":11}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2930,"base":11},"right_expr":{"type":"numeric_atoms","value":2256,"base":11}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":6792,"base":11},"right_expr":{"type":"numeric_atoms","value":2027,"base":11}}}}},"used_operators":["tmPS8pqC7x","8HhzD0ZcuI","P8v4zCKN1o","rxpJgHHUmx","xUOZtlo3hN","IWmyXbctLI","LRNGc0VcxI","Ph9nP6C5qx","Qy55tPpLXF","eewbuw0ToL","AHs5Up7iyr","7j4O788W3g"],"dependent_operators":["rJVOvQCfKK","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5415","layer":4},{"info":"number node, value=3167","layer":4},{"info":"compute binary expreesion, left_input=5415, right_input=3167, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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 = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":2},{"info":"number node, value=1886","layer":4},{"info":"number node, value=2190","layer":4},{"info":"compute binary expreesion, left_input=1886, right_input=2190, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4088","layer":3},{"info":"compute unary expreesion, input=4088, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-4262","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-4262, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"number node, value=2213","layer":4},{"info":"number node, value=1505","layer":4},{"info":"compute binary expreesion, left_input=2213, right_input=1505, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=830","layer":3},{"info":"number node, value=5165","layer":4},{"info":"number node, value=1729","layer":4},{"info":"compute binary expreesion, left_input=5165, right_input=1729, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=3446","layer":3},{"info":"compute binary expreesion, left_input=830, right_input=3446, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2973","layer":2},{"info":"number node, value=2930","layer":4},{"info":"number node, value=2256","layer":4},{"info":"compute binary expreesion, left_input=2930, right_input=2256, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-25760154","layer":3},{"info":"number node, value=6792","layer":4},{"info":"number node, value=2027","layer":4},{"info":"compute binary expreesion, left_input=6792, right_input=2027, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2027","layer":3},{"info":"compute binary expreesion, left_input=-25760154, right_input=2027, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=2973, 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 = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"((∥⊫⋰*⋻4083≭⋰*⋻241A)⨽(⨞⊢⋰*⋻1465⪮%⊝⋰*⋻1711))⨪↰⇹((⋰*⋻1732⋥≓≎⋰*⋻1149)≧⫂∧(⋰*⋻3976⨰⋰*⋻1332))∀⇚≩(⋰*⋻2224⨽⋰*⋻1771)≹⇙⪍(⋰*⋻5115↺⋰*⋻1583)=NaN","reverse_text":"NaN=((∥⊫⋰*⋻4083≭⋰*⋻241A)⨽(⨞⊢⋰*⋻1465⪮%⊝⋰*⋻1711))⨪↰⇹((⋰*⋻1732⋥≓≎⋰*⋻1149)≧⫂∧(⋰*⋻3976⨰⋰*⋻1332))∀⇚≩(⋰*⋻2224⨽⋰*⋻1771)≹⇙⪍(⋰*⋻5115↺⋰*⋻1583)","cot":[{"info":"⋰*⋻4083≭⋰*⋻241A=NaN","layer":3},{"info":"∥⊫NaN=NaN","layer":2},{"info":"⋰*⋻1465⪮%⊝⋰*⋻1711=⋰*⋻3087","layer":3},{"info":"⨞⊢⋰*⋻3087=⋰*⋻-3225","layer":2},{"info":"NaN⨽⋰*⋻-3225=NaN","layer":1},{"info":"⋰*⋻1732⋥≓≎⋰*⋻1149=⋰*⋻695","layer":3},{"info":"⋰*⋻3976⨰⋰*⋻1332=⋰*⋻2653","layer":3},{"info":"⋰*⋻695≧⫂∧⋰*⋻2653=⋰*⋻2263","layer":2},{"info":"⋰*⋻2224⨽⋰*⋻1771=⋰*⋻-135A4A92","layer":3},{"info":"⋰*⋻5115↺⋰*⋻1583=⋰*⋻1583","layer":3},{"info":"⋰*⋻-135A4A92≹⇙⪍⋰*⋻1583=NaN","layer":2},{"info":"⋰*⋻2263∀⇚≩NaN=NaN","layer":1},{"info":"NaN⨪↰⇹NaN=NaN","layer":0}]}
{"id":986,"expression_no_base_symbol":"($2337$≧⫂∧$1626$+$3985$∑⇟⊟$1231$)⩷∴(($2409$⩨$1233$)⋳⪒($3049$⫌⩹⨱))⨰(($1075$⊉≛↸$2749$%$1371$⫸⊐$2157$)⨎($1122$⊴$1733$⪒(⇁⨣⪵$1631$)))","expression":"(⋰*⋻1835≧⫂∧⋰*⋻1249+⋰*⋻2AA3∑⇟⊟⋰*⋻A1A)⩷∴((⋰*⋻18A0⩨⋰*⋻A21)⋳⪒(⋰*⋻2322⫌⩹⨱))⨰((⋰*⋻898⊉≛↸⋰*⋻207A%⋰*⋻1037⫸⊐⋰*⋻1691)⨎(⋰*⋻930⊴⋰*⋻1336⪒(⇁⨣⪵⋰*⋻1253)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1804,"operation_count":15,"complexity_ratio":120.26666666666667,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2337,"base":11},"right_expr":{"type":"numeric_atoms","value":1626,"base":11}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3985,"base":11},"right_expr":{"type":"numeric_atoms","value":1231,"base":11}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2409,"base":11},"right_expr":{"type":"numeric_atoms","value":1233,"base":11}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":3049,"base":11}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1075,"base":11},"right_expr":{"type":"numeric_atoms","value":2749,"base":11}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1371,"base":11},"right_expr":{"type":"numeric_atoms","value":2157,"base":11}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1122,"base":11},"right_expr":{"type":"numeric_atoms","value":1733,"base":11}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1631,"base":11}}}}},"used_operators":["eewbuw0ToL","9FxExcQeMw","W4YGzv6Whe","Ph9nP6C5qx","U7g4x0WXJJ","12rbrZMWeM","2DlMacCsIx","EBcxylXtPf","rJVOvQCfKK","k8jYdgA6NY","DZ8iAZOCBD","mqXw5SEYmG","f6k1SAg4EE","Nsiff2A1zJ","inkyxCbjAn"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2337","layer":4},{"info":"number node, value=1626","layer":4},{"info":"compute binary expreesion, left_input=2337, right_input=1626, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1153","layer":3},{"info":"number node, value=3985","layer":4},{"info":"number node, value=1231","layer":4},{"info":"compute binary expreesion, left_input=3985, right_input=1231, 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=1153, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=2409","layer":4},{"info":"number node, value=1233","layer":4},{"info":"compute binary expreesion, left_input=2409, right_input=1233, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=3049","layer":4},{"info":"compute unary expreesion, input=3049, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=7499","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=7499, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-7786","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-7786, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"number node, value=1075","layer":4},{"info":"number node, value=2749","layer":4},{"info":"compute binary expreesion, left_input=1075, right_input=2749, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2150","layer":3},{"info":"number node, value=1371","layer":4},{"info":"number node, value=2157","layer":4},{"info":"compute binary expreesion, left_input=1371, right_input=2157, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=8503","layer":3},{"info":"compute binary expreesion, left_input=2150, right_input=8503, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2150","layer":2},{"info":"number node, value=1122","layer":4},{"info":"number node, value=1733","layer":4},{"info":"compute binary expreesion, left_input=1122, right_input=1733, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1631","layer":4},{"info":"compute unary expreesion, input=1631, 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 = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2150, 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 = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1835≧⫂∧⋰*⋻1249+⋰*⋻2AA3∑⇟⊟⋰*⋻A1A)⩷∴((⋰*⋻18A0⩨⋰*⋻A21)⋳⪒(⋰*⋻2322⫌⩹⨱))⨰((⋰*⋻898⊉≛↸⋰*⋻207A%⋰*⋻1037⫸⊐⋰*⋻1691)⨎(⋰*⋻930⊴⋰*⋻1336⪒(⇁⨣⪵⋰*⋻1253)))=NaN","reverse_text":"NaN=(⋰*⋻1835≧⫂∧⋰*⋻1249+⋰*⋻2AA3∑⇟⊟⋰*⋻A1A)⩷∴((⋰*⋻18A0⩨⋰*⋻A21)⋳⪒(⋰*⋻2322⫌⩹⨱))⨰((⋰*⋻898⊉≛↸⋰*⋻207A%⋰*⋻1037⫸⊐⋰*⋻1691)⨎(⋰*⋻930⊴⋰*⋻1336⪒(⇁⨣⪵⋰*⋻1253)))","cot":[{"info":"⋰*⋻1835≧⫂∧⋰*⋻1249=⋰*⋻959","layer":3},{"info":"⋰*⋻2AA3∑⇟⊟⋰*⋻A1A=NaN","layer":3},{"info":"⋰*⋻959+NaN=NaN","layer":2},{"info":"⋰*⋻18A0⩨⋰*⋻A21=⋰*⋻0","layer":3},{"info":"⋰*⋻2322⫌⩹⨱=⋰*⋻56A8","layer":3},{"info":"⋰*⋻0⋳⪒⋰*⋻56A8=⋰*⋻-5939","layer":2},{"info":"NaN⩷∴⋰*⋻-5939=NaN","layer":1},{"info":"⋰*⋻898⊉≛↸⋰*⋻207A=⋰*⋻1685","layer":3},{"info":"⋰*⋻1037⫸⊐⋰*⋻1691=⋰*⋻6430","layer":3},{"info":"⋰*⋻1685%⋰*⋻6430=⋰*⋻1685","layer":2},{"info":"⋰*⋻930⊴⋰*⋻1336=NaN","layer":3},{"info":"⇁⨣⪵⋰*⋻1253=NaN","layer":3},{"info":"NaN⪒NaN=NaN","layer":2},{"info":"⋰*⋻1685⨎NaN=NaN","layer":1},{"info":"NaN⨰NaN=NaN","layer":0}]}
{"id":987,"expression_no_base_symbol":"(⨵≀≌($4544$⊉≛↸$8835$⪒$1968$*$6886$))⪄(⨞⊢(↣≠⋷($1072$⨪↰⇹$1497$)))","expression":"(⨵≀≌(⋰*⋻3461⊉≛↸⋰*⋻6702⪒⋰*⋻152A*⋰*⋻51A0))⪄(⨞⊢(↣≠⋷(⋰*⋻895⨪↰⇹⋰*⋻1141)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":13563814,"operation_count":8,"complexity_ratio":1695476.75,"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":4544,"base":11},"right_expr":{"type":"numeric_atoms","value":8835,"base":11}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1968,"base":11},"right_expr":{"type":"numeric_atoms","value":6886,"base":11}}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1072,"base":11},"right_expr":{"type":"numeric_atoms","value":1497,"base":11}}}}},"used_operators":["SUmda5xLS4","srAu1WTS94","f6k1SAg4EE","DZ8iAZOCBD","9HNa5Wba9A","xUOZtlo3hN","Asc51vEJeQ","tmPS8pqC7x"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4544","layer":4},{"info":"number node, value=8835","layer":4},{"info":"compute binary expreesion, left_input=4544, right_input=8835, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=9088","layer":3},{"info":"number node, value=1968","layer":4},{"info":"number node, value=6886","layer":4},{"info":"compute binary expreesion, left_input=1968, right_input=6886, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=13551648","layer":3},{"info":"compute binary expreesion, left_input=9088, right_input=13551648, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-13560736","layer":2},{"info":"compute unary expreesion, input=-13560736, 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=1072","layer":4},{"info":"number node, value=1497","layer":4},{"info":"compute binary expreesion, left_input=1072, right_input=1497, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1072","layer":3},{"info":"compute unary expreesion, input=1072, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/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=inf, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⨵≀≌(⋰*⋻3461⊉≛↸⋰*⋻6702⪒⋰*⋻152A*⋰*⋻51A0))⪄(⨞⊢(↣≠⋷(⋰*⋻895⨪↰⇹⋰*⋻1141)))=NaN","reverse_text":"NaN=(⨵≀≌(⋰*⋻3461⊉≛↸⋰*⋻6702⪒⋰*⋻152A*⋰*⋻51A0))⪄(⨞⊢(↣≠⋷(⋰*⋻895⨪↰⇹⋰*⋻1141)))","cot":[{"info":"⋰*⋻3461⊉≛↸⋰*⋻6702=⋰*⋻6912","layer":3},{"info":"⋰*⋻152A*⋰*⋻51A0=⋰*⋻7716610","layer":3},{"info":"⋰*⋻6912⪒⋰*⋻7716610=⋰*⋻-7722422","layer":2},{"info":"⨵≀≌⋰*⋻-7722422=Inf","layer":1},{"info":"⋰*⋻895⨪↰⇹⋰*⋻1141=⋰*⋻895","layer":3},{"info":"↣≠⋷⋰*⋻895=NaN","layer":2},{"info":"⨞⊢NaN=NaN","layer":1},{"info":"Inf⪄NaN=NaN","layer":0}]}
{"id":988,"expression_no_base_symbol":"($3491$⨪↰⇹$1587$⫌⩹⨱)⨸⪁$6108$+⇶⊼$2999$↙$1478$⨐⩸⫘$2513$⪒($3470$⪨≂$1892$)⪛$7815$⊴$1425$⇼⇔∾$1511$+⇶⊼$8200$⫸⊐$7140$≭$1088$","expression":"(⋰*⋻2694⨪↰⇹⋰*⋻1213⫌⩹⨱)⨸⪁⋰*⋻4653+⇶⊼⋰*⋻2287↙⋰*⋻1124⨐⩸⫘⋰*⋻1985⪒(⋰*⋻2675⪨≂⋰*⋻1470)⪛⋰*⋻5965⊴⋰*⋻1086⇼⇔∾⋰*⋻1154+⇶⊼⋰*⋻6185⫸⊐⋰*⋻5401≭⋰*⋻8AA","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":5697,"operation_count":14,"complexity_ratio":406.92857142857144,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3491,"base":11},"right_expr":{"type":"numeric_atoms","value":1587,"base":11}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":6108,"base":11},"right_expr":{"type":"numeric_atoms","value":2999,"base":11}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1478,"base":11},"right_expr":{"type":"numeric_atoms","value":2513,"base":11}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3470,"base":11},"right_expr":{"type":"numeric_atoms","value":1892,"base":11}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":7815,"base":11},"right_expr":{"type":"numeric_atoms","value":1425,"base":11}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1511,"base":11},"right_expr":{"type":"numeric_atoms","value":8200,"base":11}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":7140,"base":11},"right_expr":{"type":"numeric_atoms","value":1088,"base":11}}}}},"used_operators":["f6k1SAg4EE","g55IO6H4Gj","EBcxylXtPf","tmPS8pqC7x","yyfyN0ffXY","TpPTUOHfaN","fu6greOZ01","tifHPKVTfV","uFcxV4UQCh","sdazOOVcIp","Nsiff2A1zJ","mqXw5SEYmG","rxpJgHHUmx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","rJVOvQCfKK","tmPS8pqC7x","DpFCA1CohY","AHs5Up7iyr","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=3491","layer":4},{"info":"number node, value=1587","layer":4},{"info":"compute binary expreesion, left_input=3491, right_input=1587, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3491","layer":3},{"info":"compute unary expreesion, input=3491, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=8383","layer":2},{"info":"number node, value=6108","layer":4},{"info":"number node, value=2999","layer":4},{"info":"compute binary expreesion, left_input=6108, right_input=2999, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=1478","layer":4},{"info":"number node, value=2513","layer":4},{"info":"compute binary expreesion, left_input=1478, right_input=2513, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=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=8383, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"number node, value=3470","layer":4},{"info":"number node, value=1892","layer":4},{"info":"compute binary expreesion, left_input=3470, 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=3258","layer":3},{"info":"number node, value=7815","layer":4},{"info":"number node, value=1425","layer":4},{"info":"compute binary expreesion, left_input=7815, right_input=1425, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3258, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"number node, value=1511","layer":4},{"info":"number node, value=8200","layer":4},{"info":"compute binary expreesion, left_input=1511, right_input=8200, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=7140","layer":4},{"info":"number node, value=1088","layer":4},{"info":"compute binary expreesion, left_input=7140, right_input=1088, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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":"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 = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻2694⨪↰⇹⋰*⋻1213⫌⩹⨱)⨸⪁⋰*⋻4653+⇶⊼⋰*⋻2287↙⋰*⋻1124⨐⩸⫘⋰*⋻1985⪒(⋰*⋻2675⪨≂⋰*⋻1470)⪛⋰*⋻5965⊴⋰*⋻1086⇼⇔∾⋰*⋻1154+⇶⊼⋰*⋻6185⫸⊐⋰*⋻5401≭⋰*⋻8AA=NaN","reverse_text":"NaN=(⋰*⋻2694⨪↰⇹⋰*⋻1213⫌⩹⨱)⨸⪁⋰*⋻4653+⇶⊼⋰*⋻2287↙⋰*⋻1124⨐⩸⫘⋰*⋻1985⪒(⋰*⋻2675⪨≂⋰*⋻1470)⪛⋰*⋻5965⊴⋰*⋻1086⇼⇔∾⋰*⋻1154+⇶⊼⋰*⋻6185⫸⊐⋰*⋻5401≭⋰*⋻8AA","cot":[{"info":"⋰*⋻2694⨪↰⇹⋰*⋻1213=⋰*⋻2694","layer":3},{"info":"⋰*⋻2694⫌⩹⨱=⋰*⋻6331","layer":2},{"info":"⋰*⋻4653+⇶⊼⋰*⋻2287=NaN","layer":3},{"info":"⋰*⋻1124⨐⩸⫘⋰*⋻1985=NaN","layer":3},{"info":"NaN↙NaN=NaN","layer":2},{"info":"⋰*⋻6331⨸⪁NaN=NaN","layer":1},{"info":"⋰*⋻2675⪨≂⋰*⋻1470=⋰*⋻24A2","layer":3},{"info":"⋰*⋻5965⊴⋰*⋻1086=NaN","layer":3},{"info":"⋰*⋻24A2⪛NaN=NaN","layer":2},{"info":"⋰*⋻1154+⇶⊼⋰*⋻6185=NaN","layer":3},{"info":"⋰*⋻5401≭⋰*⋻8AA=NaN","layer":3},{"info":"NaN⫸⊐NaN=NaN","layer":2},{"info":"NaN⇼⇔∾NaN=NaN","layer":1},{"info":"NaN⪒NaN=NaN","layer":0}]}
{"id":989,"expression_no_base_symbol":"($4830$⊴$2436$⋓($6110$⋥≓≎$3638$)↙($1049$⨽$1092$)⨰($8010$⪒$3059$))≭(($2033$⇼⇔∾$3300$)⨟⋌⩍($1461$∑⇟⊟$8178$)∲⫓($1882$↬$3502$+$5109$∀⇚≩$1598$))","expression":"(⋰*⋻36A1⊴⋰*⋻1915⋓(⋰*⋻4655⋥≓≎⋰*⋻2808)↙(⋰*⋻874⨽⋰*⋻903)⨰(⋰*⋻6022⪒⋰*⋻2331))≭((⋰*⋻1589⇼⇔∾⋰*⋻2530)⨟⋌⩍(⋰*⋻1109∑⇟⊟⋰*⋻6165)∲⫓(⋰*⋻1461↬⋰*⋻26A4+⋰*⋻3925∀⇚≩⋰*⋻1223))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":39414,"operation_count":15,"complexity_ratio":2627.6,"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":4830,"base":11},"right_expr":{"type":"numeric_atoms","value":2436,"base":11}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":6110,"base":11},"right_expr":{"type":"numeric_atoms","value":3638,"base":11}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1049,"base":11},"right_expr":{"type":"numeric_atoms","value":1092,"base":11}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":8010,"base":11},"right_expr":{"type":"numeric_atoms","value":3059,"base":11}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2033,"base":11},"right_expr":{"type":"numeric_atoms","value":3300,"base":11}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1461,"base":11},"right_expr":{"type":"numeric_atoms","value":8178,"base":11}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1882,"base":11},"right_expr":{"type":"numeric_atoms","value":3502,"base":11}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":5109,"base":11},"right_expr":{"type":"numeric_atoms","value":1598,"base":11}}}}},"used_operators":["rxpJgHHUmx","yyfyN0ffXY","T2fj7uvVaJ","Nsiff2A1zJ","Qy55tPpLXF","eewbuw0ToL","8HhzD0ZcuI","f6k1SAg4EE","i8ToyICDmI","rGHVDoGpnC","tifHPKVTfV","U7g4x0WXJJ","W4YGzv6Whe","B5M0gjZbta","LRNGc0VcxI"],"dependent_operators":["AHs5Up7iyr","tmPS8pqC7x","DpFCA1CohY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rGHVDoGpnC","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4830","layer":4},{"info":"number node, value=2436","layer":4},{"info":"compute binary expreesion, left_input=4830, right_input=2436, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=6110","layer":4},{"info":"number node, value=3638","layer":4},{"info":"compute binary expreesion, left_input=6110, right_input=3638, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1199","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1199, op_id = T2fj7uvVaJ binary_op_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=1049","layer":4},{"info":"number node, value=1092","layer":4},{"info":"compute binary expreesion, left_input=1049, right_input=1092, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3303165","layer":3},{"info":"number node, value=8010","layer":4},{"info":"number node, value=3059","layer":4},{"info":"compute binary expreesion, left_input=8010, right_input=3059, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-11069","layer":3},{"info":"compute binary expreesion, left_input=-3303165, right_input=-11069, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-3292086","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-3292086, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":1},{"info":"number node, value=2033","layer":4},{"info":"number node, value=3300","layer":4},{"info":"compute binary expreesion, left_input=2033, right_input=3300, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1267","layer":3},{"info":"number node, value=1461","layer":4},{"info":"number node, value=8178","layer":4},{"info":"compute binary expreesion, left_input=1461, right_input=8178, 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=1267, 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=1882","layer":4},{"info":"number node, value=3502","layer":4},{"info":"compute binary expreesion, left_input=1882, right_input=3502, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=5109","layer":4},{"info":"number node, value=1598","layer":4},{"info":"compute binary expreesion, left_input=5109, right_input=1598, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":1},{"info":"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":11,"result_base":11,"text":"(⋰*⋻36A1⊴⋰*⋻1915⋓(⋰*⋻4655⋥≓≎⋰*⋻2808)↙(⋰*⋻874⨽⋰*⋻903)⨰(⋰*⋻6022⪒⋰*⋻2331))≭((⋰*⋻1589⇼⇔∾⋰*⋻2530)⨟⋌⩍(⋰*⋻1109∑⇟⊟⋰*⋻6165)∲⫓(⋰*⋻1461↬⋰*⋻26A4+⋰*⋻3925∀⇚≩⋰*⋻1223))=NaN","reverse_text":"NaN=(⋰*⋻36A1⊴⋰*⋻1915⋓(⋰*⋻4655⋥≓≎⋰*⋻2808)↙(⋰*⋻874⨽⋰*⋻903)⨰(⋰*⋻6022⪒⋰*⋻2331))≭((⋰*⋻1589⇼⇔∾⋰*⋻2530)⨟⋌⩍(⋰*⋻1109∑⇟⊟⋰*⋻6165)∲⫓(⋰*⋻1461↬⋰*⋻26A4+⋰*⋻3925∀⇚≩⋰*⋻1223))","cot":[{"info":"⋰*⋻36A1⊴⋰*⋻1915=NaN","layer":3},{"info":"⋰*⋻4655⋥≓≎⋰*⋻2808=⋰*⋻9A0","layer":3},{"info":"NaN⋓⋰*⋻9A0=⋰*⋻0","layer":2},{"info":"⋰*⋻874⨽⋰*⋻903=⋰*⋻-1956798","layer":3},{"info":"⋰*⋻6022⪒⋰*⋻2331=⋰*⋻-8353","layer":3},{"info":"⋰*⋻-1956798⨰⋰*⋻-8353=⋰*⋻-1949436","layer":2},{"info":"⋰*⋻0↙⋰*⋻-1949436=⋰*⋻0","layer":1},{"info":"⋰*⋻1589⇼⇔∾⋰*⋻2530=⋰*⋻A52","layer":3},{"info":"⋰*⋻1109∑⇟⊟⋰*⋻6165=NaN","layer":3},{"info":"⋰*⋻A52⨟⋌⩍NaN=NaN","layer":2},{"info":"⋰*⋻1461↬⋰*⋻26A4=NaN","layer":3},{"info":"⋰*⋻3925∀⇚≩⋰*⋻1223=NaN","layer":3},{"info":"NaN+NaN=NaN","layer":2},{"info":"NaN∲⫓NaN=NaN","layer":1},{"info":"⋰*⋻0≭NaN=NaN","layer":0}]}
{"id":990,"expression_no_base_symbol":"((($1999$⨵⪆$2958$)*(↽≂$1555$))⨳⩥⨓($1288$⫥∨⫟$1528$⪄$1165$∼$2971$))⨪↰⇹(($3443$⊘)⨪↰⇹(⨞⊢$3994$))⪛(($8769$⨸⪁$2222$)⩷∴($2597$⪨≂$1731$))","expression":"(((⋰*⋻1558⨵⪆⋰*⋻224A)*(↽≂⋰*⋻1194))⨳⩥⨓(⋰*⋻A71⫥∨⫟⋰*⋻116A⪄⋰*⋻96A∼⋰*⋻2261))⨪↰⇹((⋰*⋻2650⊘)⨪↰⇹(⨞⊢⋰*⋻3001))⪛((⋰*⋻6652⨸⪁⋰*⋻1740)⩷∴(⋰*⋻1A51⪨≂⋰*⋻1334))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":501985,"operation_count":15,"complexity_ratio":33465.666666666664,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1999,"base":11},"right_expr":{"type":"numeric_atoms","value":2958,"base":11}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1555,"base":11}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1288,"base":11},"right_expr":{"type":"numeric_atoms","value":1528,"base":11}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1165,"base":11},"right_expr":{"type":"numeric_atoms","value":2971,"base":11}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":3443,"base":11}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":3994,"base":11}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":8769,"base":11},"right_expr":{"type":"numeric_atoms","value":2222,"base":11}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2597,"base":11},"right_expr":{"type":"numeric_atoms","value":1731,"base":11}}}}},"used_operators":["tmPS8pqC7x","nCS4ZIUYfx","9HNa5Wba9A","2DQ55sFlQl","u6S6b8DprG","SUmda5xLS4","KYD54nUTWz","DyGG3AbaNP","uFcxV4UQCh","gu96TGCTMs","xUOZtlo3hN","9FxExcQeMw","g55IO6H4Gj","sdazOOVcIp"],"dependent_operators":["rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","8HhzD0ZcuI","rGHVDoGpnC","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⋰*⋻312931","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1999","layer":4},{"info":"number node, value=2958","layer":4},{"info":"compute binary expreesion, left_input=1999, right_input=2958, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1555","layer":4},{"info":"compute unary expreesion, input=1555, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-3110","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-3110, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-497600","layer":2},{"info":"number node, value=1288","layer":4},{"info":"number node, value=1528","layer":4},{"info":"compute binary expreesion, left_input=1288, right_input=1528, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1165","layer":4},{"info":"number node, value=2971","layer":4},{"info":"compute binary expreesion, left_input=1165, right_input=2971, 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 = 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=-497600, right_input=3979, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=501579","layer":1},{"info":"number node, value=3443","layer":4},{"info":"compute unary expreesion, input=3443, 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=3994","layer":4},{"info":"compute unary expreesion, input=3994, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-4168","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-4168, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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=8769","layer":4},{"info":"number node, value=2222","layer":4},{"info":"compute binary expreesion, left_input=8769, right_input=2222, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=21982","layer":3},{"info":"number node, value=2597","layer":4},{"info":"number node, value=1731","layer":4},{"info":"compute binary expreesion, left_input=2597, right_input=1731, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=1834","layer":3},{"info":"compute binary expreesion, left_input=21982, right_input=1834, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=40264","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=40264, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=501579, 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=501579","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻1558⨵⪆⋰*⋻224A)*(↽≂⋰*⋻1194))⨳⩥⨓(⋰*⋻A71⫥∨⫟⋰*⋻116A⪄⋰*⋻96A∼⋰*⋻2261))⨪↰⇹((⋰*⋻2650⊘)⨪↰⇹(⨞⊢⋰*⋻3001))⪛((⋰*⋻6652⨸⪁⋰*⋻1740)⩷∴(⋰*⋻1A51⪨≂⋰*⋻1334))=⋰*⋻312931","reverse_text":"⋰*⋻312931=(((⋰*⋻1558⨵⪆⋰*⋻224A)*(↽≂⋰*⋻1194))⨳⩥⨓(⋰*⋻A71⫥∨⫟⋰*⋻116A⪄⋰*⋻96A∼⋰*⋻2261))⨪↰⇹((⋰*⋻2650⊘)⨪↰⇹(⨞⊢⋰*⋻3001))⪛((⋰*⋻6652⨸⪁⋰*⋻1740)⩷∴(⋰*⋻1A51⪨≂⋰*⋻1334))","cot":[{"info":"⋰*⋻1558⨵⪆⋰*⋻224A=⋰*⋻136","layer":3},{"info":"↽≂⋰*⋻1194=⋰*⋻-2378","layer":3},{"info":"⋰*⋻136*⋰*⋻-2378=⋰*⋻-30A944","layer":2},{"info":"⋰*⋻A71⫥∨⫟⋰*⋻116A=NaN","layer":3},{"info":"⋰*⋻96A∼⋰*⋻2261=NaN","layer":3},{"info":"NaN⪄NaN=⋰*⋻2A98","layer":2},{"info":"⋰*⋻-30A944⨳⩥⨓⋰*⋻2A98=⋰*⋻312931","layer":1},{"info":"⋰*⋻2650⊘=⋰*⋻0","layer":3},{"info":"⨞⊢⋰*⋻3001=⋰*⋻-314A","layer":3},{"info":"⋰*⋻0⨪↰⇹⋰*⋻-314A=⋰*⋻0","layer":2},{"info":"⋰*⋻6652⨸⪁⋰*⋻1740=⋰*⋻15574","layer":3},{"info":"⋰*⋻1A51⪨≂⋰*⋻1334=⋰*⋻1418","layer":3},{"info":"⋰*⋻15574⩷∴⋰*⋻1418=⋰*⋻28284","layer":2},{"info":"⋰*⋻0⪛⋰*⋻28284=⋰*⋻0","layer":1},{"info":"⋰*⋻312931⨪↰⇹⋰*⋻0=⋰*⋻312931","layer":0}]}
{"id":991,"expression_no_base_symbol":"(⪝⪂⫅$6184$)+⇶⊼(⨰⫟⨤$2310$)⊉≛↸($4962$↬$8159$⩨($3026$⊭↱$4624$))⩨(($1851$⪄$4388$)⇷($1649$⊦⊿))∼(($1187$/$1073$)⨪↰⇹($2421$⊭↱$5578$))","expression":"(⪝⪂⫅⋰*⋻4712)+⇶⊼(⨰⫟⨤⋰*⋻1810)⊉≛↸(⋰*⋻3801↬⋰*⋻6148⩨(⋰*⋻2301⊭↱⋰*⋻3524))⩨((⋰*⋻1433⪄⋰*⋻332A)⇷(⋰*⋻126A⊦⊿))∼((⋰*⋻98A/⋰*⋻896)⨪↰⇹(⋰*⋻1901⊭↱⋰*⋻4211))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4034956,"operation_count":15,"complexity_ratio":268997.06666666665,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":6184,"base":11}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2310,"base":11}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4962,"base":11},"right_expr":{"type":"numeric_atoms","value":8159,"base":11}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3026,"base":11},"right_expr":{"type":"numeric_atoms","value":4624,"base":11}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1851,"base":11},"right_expr":{"type":"numeric_atoms","value":4388,"base":11}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1649,"base":11}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1187,"base":11},"right_expr":{"type":"numeric_atoms","value":1073,"base":11}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2421,"base":11},"right_expr":{"type":"numeric_atoms","value":5578,"base":11}}}}},"used_operators":["2DlMacCsIx","DZ8iAZOCBD","TpPTUOHfaN","XTarYq4gQB","Tw270M8GLb","B5M0gjZbta","COABgblf1C","DyGG3AbaNP","mp7IySMOzn","SUmda5xLS4","14qkJME0vr","tmPS8pqC7x","XhwjNDsVaA"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","9HNa5Wba9A","8w2t5hMYqp","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6184","layer":4},{"info":"compute unary expreesion, input=6184, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-909048","layer":3},{"info":"number node, value=2310","layer":4},{"info":"compute unary expreesion, input=2310, 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=-909048, 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=4962","layer":4},{"info":"number node, value=8159","layer":4},{"info":"compute binary expreesion, left_input=4962, right_input=8159, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=3026","layer":4},{"info":"number node, value=4624","layer":4},{"info":"compute binary expreesion, left_input=3026, right_input=4624, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=3201","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3201, 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 = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":1},{"info":"number node, value=1851","layer":4},{"info":"number node, value=4388","layer":4},{"info":"compute binary expreesion, left_input=1851, right_input=4388, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-287589","layer":3},{"info":"number node, value=1649","layer":4},{"info":"compute unary expreesion, input=1649, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-5026","layer":3},{"info":"compute binary expreesion, left_input=-287589, right_input=-5026, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"number node, value=1187","layer":4},{"info":"number node, value=1073","layer":4},{"info":"compute binary expreesion, left_input=1187, right_input=1073, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"number node, value=2421","layer":4},{"info":"number node, value=5578","layer":4},{"info":"compute binary expreesion, left_input=2421, right_input=5578, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=6319","layer":3},{"info":"compute binary expreesion, left_input=1, right_input=6319, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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":"compute binary expreesion, left_input=nan, right_input=1, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⪝⪂⫅⋰*⋻4712)+⇶⊼(⨰⫟⨤⋰*⋻1810)⊉≛↸(⋰*⋻3801↬⋰*⋻6148⩨(⋰*⋻2301⊭↱⋰*⋻3524))⩨((⋰*⋻1433⪄⋰*⋻332A)⇷(⋰*⋻126A⊦⊿))∼((⋰*⋻98A/⋰*⋻896)⨪↰⇹(⋰*⋻1901⊭↱⋰*⋻4211))=NaN","reverse_text":"NaN=(⪝⪂⫅⋰*⋻4712)+⇶⊼(⨰⫟⨤⋰*⋻1810)⊉≛↸(⋰*⋻3801↬⋰*⋻6148⩨(⋰*⋻2301⊭↱⋰*⋻3524))⩨((⋰*⋻1433⪄⋰*⋻332A)⇷(⋰*⋻126A⊦⊿))∼((⋰*⋻98A/⋰*⋻896)⨪↰⇹(⋰*⋻1901⊭↱⋰*⋻4211))","cot":[{"info":"⪝⪂⫅⋰*⋻4712=⋰*⋻-570A88","layer":3},{"info":"⨰⫟⨤⋰*⋻1810=NaN","layer":3},{"info":"⋰*⋻-570A88+⇶⊼NaN=NaN","layer":2},{"info":"⋰*⋻3801↬⋰*⋻6148=NaN","layer":3},{"info":"⋰*⋻2301⊭↱⋰*⋻3524=⋰*⋻2450","layer":3},{"info":"NaN⩨⋰*⋻2450=NaN","layer":2},{"info":"NaN⊉≛↸NaN=NaN","layer":1},{"info":"⋰*⋻1433⪄⋰*⋻332A=⋰*⋻-187085","layer":3},{"info":"⋰*⋻126A⊦⊿=⋰*⋻-385A","layer":3},{"info":"⋰*⋻-187085⇷⋰*⋻-385A=NaN","layer":2},{"info":"⋰*⋻98A/⋰*⋻896=⋰*⋻1","layer":3},{"info":"⋰*⋻1901⊭↱⋰*⋻4211=⋰*⋻4825","layer":3},{"info":"⋰*⋻1⨪↰⇹⋰*⋻4825=⋰*⋻1","layer":2},{"info":"NaN∼⋰*⋻1=⋰*⋻0","layer":1},{"info":"NaN⩨⋰*⋻0=NaN","layer":0}]}
{"id":992,"expression_no_base_symbol":"⨵≀≌(⨞⊢$1842$∑⇟⊟$2128$∑⇟⊟(↔$1594$))","expression":"⨵≀≌(⨞⊢⋰*⋻1425∑⇟⊟⋰*⋻1665∑⇟⊟(↔⋰*⋻121A))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":14,"operation_count":5,"complexity_ratio":2.8,"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":1842,"base":11},"right_expr":{"type":"numeric_atoms","value":2128,"base":11}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1594,"base":11}}}}},"used_operators":["srAu1WTS94","xUOZtlo3hN","U7g4x0WXJJ","ruOEQAzv1W"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=1842","layer":4},{"info":"number node, value=2128","layer":4},{"info":"compute binary expreesion, left_input=1842, right_input=2128, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1594","layer":4},{"info":"compute unary expreesion, input=1594, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1321","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1321, 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 = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', 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":11,"result_base":11,"text":"⨵≀≌(⨞⊢⋰*⋻1425∑⇟⊟⋰*⋻1665∑⇟⊟(↔⋰*⋻121A))=NaN","reverse_text":"NaN=⨵≀≌(⨞⊢⋰*⋻1425∑⇟⊟⋰*⋻1665∑⇟⊟(↔⋰*⋻121A))","cot":[{"info":"⋰*⋻1425∑⇟⊟⋰*⋻1665=NaN","layer":3},{"info":"↔⋰*⋻121A=⋰*⋻-AA1","layer":3},{"info":"NaN∑⇟⊟⋰*⋻-AA1=NaN","layer":2},{"info":"⨞⊢NaN=NaN","layer":1},{"info":"⨵≀≌NaN=NaN","layer":0}]}
{"id":993,"expression_no_base_symbol":"(($6382$⪘⫢$1290$⨐⩸⫘(⩦⩻⨪$1587$))≭($1013$↙$3369$⪒(⊙↵-$1713$)))↬((($5019$⨵⪆$2395$)⨸⪁($1442$⫩⊇))⋳⪒($5161$≹⇙⪍$6761$≫≃))","expression":"((⋰*⋻4882⪘⫢⋰*⋻A73⨐⩸⫘(⩦⩻⨪⋰*⋻1213))≭(⋰*⋻841↙⋰*⋻2593⪒(⊙↵-⋰*⋻1318)))↬(((⋰*⋻3853⨵⪆⋰*⋻1888)⨸⪁(⋰*⋻10A1⫩⊇))⋳⪒(⋰*⋻3972≹⇙⪍⋰*⋻5097≫≃))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":5176,"operation_count":14,"complexity_ratio":369.7142857142857,"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":6382,"base":11},"right_expr":{"type":"numeric_atoms","value":1290,"base":11}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1587,"base":11}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1013,"base":11},"right_expr":{"type":"numeric_atoms","value":3369,"base":11}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1713,"base":11}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":5019,"base":11},"right_expr":{"type":"numeric_atoms","value":2395,"base":11}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":1442,"base":11}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5161,"base":11},"right_expr":{"type":"numeric_atoms","value":6761,"base":11}}}}},"used_operators":["B5M0gjZbta","rxpJgHHUmx","fu6greOZ01","oacrs7FA3X","2td37pGCOC","f6k1SAg4EE","yyfyN0ffXY","oWn0xqSxBt","12rbrZMWeM","g55IO6H4Gj","2DQ55sFlQl","BjRHVeLaeN","X99M06cbEe","AHs5Up7iyr"],"dependent_operators":["rGHVDoGpnC","AHs5Up7iyr","3ViojmjbAp","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6382","layer":4},{"info":"number node, value=1290","layer":4},{"info":"compute binary expreesion, left_input=6382, right_input=1290, 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":"number node, value=1587","layer":4},{"info":"compute unary expreesion, input=1587, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1587","layer":3},{"info":"compute binary expreesion, left_input=12640, right_input=1587, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=1013","layer":4},{"info":"number node, value=3369","layer":4},{"info":"compute binary expreesion, left_input=1013, right_input=3369, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-10107","layer":3},{"info":"number node, value=1713","layer":4},{"info":"compute unary expreesion, input=1713, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=-10107, right_input=-1, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=10108","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=10108, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=5019","layer":4},{"info":"number node, value=2395","layer":4},{"info":"compute binary expreesion, left_input=5019, right_input=2395, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1442","layer":4},{"info":"compute unary expreesion, input=1442, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1400","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-1400, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-2480","layer":2},{"info":"number node, value=5161","layer":4},{"info":"number node, value=6761","layer":4},{"info":"compute binary expreesion, left_input=5161, right_input=6761, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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 = 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=-2480, 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 = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻4882⪘⫢⋰*⋻A73⨐⩸⫘(⩦⩻⨪⋰*⋻1213))≭(⋰*⋻841↙⋰*⋻2593⪒(⊙↵-⋰*⋻1318)))↬(((⋰*⋻3853⨵⪆⋰*⋻1888)⨸⪁(⋰*⋻10A1⫩⊇))⋳⪒(⋰*⋻3972≹⇙⪍⋰*⋻5097≫≃))=NaN","reverse_text":"NaN=((⋰*⋻4882⪘⫢⋰*⋻A73⨐⩸⫘(⩦⩻⨪⋰*⋻1213))≭(⋰*⋻841↙⋰*⋻2593⪒(⊙↵-⋰*⋻1318)))↬(((⋰*⋻3853⨵⪆⋰*⋻1888)⨸⪁(⋰*⋻10A1⫩⊇))⋳⪒(⋰*⋻3972≹⇙⪍⋰*⋻5097≫≃))","cot":[{"info":"⋰*⋻4882⪘⫢⋰*⋻A73=⋰*⋻9551","layer":3},{"info":"⩦⩻⨪⋰*⋻1213=⋰*⋻1213","layer":3},{"info":"⋰*⋻9551⨐⩸⫘⋰*⋻1213=NaN","layer":2},{"info":"⋰*⋻841↙⋰*⋻2593=⋰*⋻-7659","layer":3},{"info":"⊙↵-⋰*⋻1318=⋰*⋻-1","layer":3},{"info":"⋰*⋻-7659⪒⋰*⋻-1=⋰*⋻765A","layer":2},{"info":"NaN≭⋰*⋻765A=NaN","layer":1},{"info":"⋰*⋻3853⨵⪆⋰*⋻1888=⋰*⋻136","layer":3},{"info":"⋰*⋻10A1⫩⊇=⋰*⋻-1063","layer":3},{"info":"⋰*⋻136⨸⪁⋰*⋻-1063=⋰*⋻-1955","layer":2},{"info":"⋰*⋻3972≹⇙⪍⋰*⋻5097=NaN","layer":3},{"info":"NaN≫≃=NaN","layer":2},{"info":"⋰*⋻-1955⋳⪒NaN=NaN","layer":1},{"info":"NaN↬NaN=NaN","layer":0}]}
{"id":994,"expression_no_base_symbol":"((($2054$⨁⊸⫻)⪒$1910$⪄$3506$)⇷($1070$⋷$1593$)⇷($7577$-$5303$))↬($1189$⋳⪒$2612$⋳⪒$1741$⪛$2468$)≹⇙⪍(($2092$≎⊠⪸$1164$)⊴($2360$↙$1039$))","expression":"(((⋰*⋻15A8⨁⊸⫻)⪒⋰*⋻1487⪄⋰*⋻26A8)⇷(⋰*⋻893⋷⋰*⋻1219)⇷(⋰*⋻5769-⋰*⋻3A91))↬(⋰*⋻991⋳⪒⋰*⋻1A65⋳⪒⋰*⋻1343⪛⋰*⋻1944)≹⇙⪍((⋰*⋻1632≎⊠⪸⋰*⋻969)⊴(⋰*⋻1856↙⋰*⋻865))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4234154,"operation_count":15,"complexity_ratio":282276.93333333335,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":2054,"base":11}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1910,"base":11},"right_expr":{"type":"numeric_atoms","value":3506,"base":11}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1070,"base":11},"right_expr":{"type":"numeric_atoms","value":1593,"base":11}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":7577,"base":11},"right_expr":{"type":"numeric_atoms","value":5303,"base":11}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1189,"base":11},"right_expr":{"type":"numeric_atoms","value":2612,"base":11}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1741,"base":11},"right_expr":{"type":"numeric_atoms","value":2468,"base":11}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2092,"base":11},"right_expr":{"type":"numeric_atoms","value":1164,"base":11}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2360,"base":11},"right_expr":{"type":"numeric_atoms","value":1039,"base":11}}}}},"used_operators":["B5M0gjZbta","mp7IySMOzn","f6k1SAg4EE","glklzrTFfD","SUmda5xLS4","23Mk6UjR3U","rysDP5nf3Z","AHs5Up7iyr","12rbrZMWeM","uFcxV4UQCh","Nsiff2A1zJ","bJkvcejdHO","yyfyN0ffXY"],"dependent_operators":["rGHVDoGpnC","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","14qkJME0vr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2054","layer":4},{"info":"compute unary expreesion, input=2054, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=2054","layer":3},{"info":"number node, value=1910","layer":4},{"info":"number node, value=3506","layer":4},{"info":"compute binary expreesion, left_input=1910, right_input=3506, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-292793","layer":3},{"info":"compute binary expreesion, left_input=2054, right_input=-292793, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=290739","layer":2},{"info":"number node, value=1070","layer":4},{"info":"number node, value=1593","layer":4},{"info":"compute binary expreesion, left_input=1070, right_input=1593, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2116","layer":3},{"info":"number node, value=7577","layer":4},{"info":"number node, value=5303","layer":4},{"info":"compute binary expreesion, left_input=7577, right_input=5303, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2274","layer":3},{"info":"compute binary expreesion, left_input=2116, right_input=2274, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4548","layer":2},{"info":"compute binary expreesion, left_input=290739, right_input=4548, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=9096","layer":1},{"info":"number node, value=1189","layer":4},{"info":"number node, value=2612","layer":4},{"info":"compute binary expreesion, left_input=1189, right_input=2612, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-521","layer":3},{"info":"number node, value=1741","layer":4},{"info":"number node, value=2468","layer":4},{"info":"compute binary expreesion, left_input=1741, right_input=2468, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1741","layer":3},{"info":"compute binary expreesion, left_input=-521, right_input=1741, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-3070","layer":2},{"info":"number node, value=2092","layer":4},{"info":"number node, value=1164","layer":4},{"info":"compute binary expreesion, left_input=2092, right_input=1164, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=541355","layer":3},{"info":"number node, value=2360","layer":4},{"info":"number node, value=1039","layer":4},{"info":"compute binary expreesion, left_input=2360, right_input=1039, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3117","layer":3},{"info":"compute binary expreesion, left_input=541355, right_input=-3117, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-3070, 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=9096, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻15A8⨁⊸⫻)⪒⋰*⋻1487⪄⋰*⋻26A8)⇷(⋰*⋻893⋷⋰*⋻1219)⇷(⋰*⋻5769-⋰*⋻3A91))↬(⋰*⋻991⋳⪒⋰*⋻1A65⋳⪒⋰*⋻1343⪛⋰*⋻1944)≹⇙⪍((⋰*⋻1632≎⊠⪸⋰*⋻969)⊴(⋰*⋻1856↙⋰*⋻865))=NaN","reverse_text":"NaN=(((⋰*⋻15A8⨁⊸⫻)⪒⋰*⋻1487⪄⋰*⋻26A8)⇷(⋰*⋻893⋷⋰*⋻1219)⇷(⋰*⋻5769-⋰*⋻3A91))↬(⋰*⋻991⋳⪒⋰*⋻1A65⋳⪒⋰*⋻1343⪛⋰*⋻1944)≹⇙⪍((⋰*⋻1632≎⊠⪸⋰*⋻969)⊴(⋰*⋻1856↙⋰*⋻865))","cot":[{"info":"⋰*⋻15A8⨁⊸⫻=⋰*⋻15A8","layer":3},{"info":"⋰*⋻1487⪄⋰*⋻26A8=⋰*⋻-18AA86","layer":3},{"info":"⋰*⋻15A8⪒⋰*⋻-18AA86=⋰*⋻189489","layer":2},{"info":"⋰*⋻893⋷⋰*⋻1219=⋰*⋻1654","layer":3},{"info":"⋰*⋻5769-⋰*⋻3A91=⋰*⋻1788","layer":3},{"info":"⋰*⋻1654⇷⋰*⋻1788=⋰*⋻3465","layer":2},{"info":"⋰*⋻189489⇷⋰*⋻3465=⋰*⋻691A","layer":1},{"info":"⋰*⋻991⋳⪒⋰*⋻1A65=⋰*⋻-434","layer":3},{"info":"⋰*⋻1343⪛⋰*⋻1944=⋰*⋻1343","layer":3},{"info":"⋰*⋻-434⋳⪒⋰*⋻1343=⋰*⋻-2341","layer":2},{"info":"⋰*⋻1632≎⊠⪸⋰*⋻969=⋰*⋻33A801","layer":3},{"info":"⋰*⋻1856↙⋰*⋻865=⋰*⋻-2384","layer":3},{"info":"⋰*⋻33A801⊴⋰*⋻-2384=NaN","layer":2},{"info":"⋰*⋻-2341≹⇙⪍NaN=NaN","layer":1},{"info":"⋰*⋻691A↬NaN=NaN","layer":0}]}
{"id":995,"expression_no_base_symbol":"((↣≠⋷$2935$)⇼⇔∾(∂$2594$))⩚⊴⇥((⨵≀≌$4318$)⨵⪆(∂$2586$))-(↥$1000$⩚⊴⇥$1729$)⪢(($3123$/$2986$)∑⇟⊟($1499$⋝⋈⪟$7098$))","expression":"((↣≠⋷⋰*⋻2229)⇼⇔∾(∂⋰*⋻1A49))⩚⊴⇥((⨵≀≌⋰*⋻3276)⨵⪆(∂⋰*⋻1A41))-(↥⋰*⋻82A⩚⊴⇥⋰*⋻1332)⪢((⋰*⋻238A/⋰*⋻2275)∑⇟⊟(⋰*⋻1143⋝⋈⪟⋰*⋻5373))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":79,"operation_count":14,"complexity_ratio":5.642857142857143,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2935,"base":11}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2594,"base":11}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":4318,"base":11}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2586,"base":11}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1000,"base":11},"right_expr":{"type":"numeric_atoms","value":1729,"base":11}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3123,"base":11},"right_expr":{"type":"numeric_atoms","value":2986,"base":11}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1499,"base":11},"right_expr":{"type":"numeric_atoms","value":7098,"base":11}}}}},"used_operators":["rysDP5nf3Z","NTOWxs364D","tifHPKVTfV","Asc51vEJeQ","Uaa54Peajs","2DQ55sFlQl","srAu1WTS94","dWAJyo7jo9","A8NUZmVepG","U7g4x0WXJJ","XhwjNDsVaA","2DDjHMKMc0"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","k8jYdgA6NY","k8jYdgA6NY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2935","layer":4},{"info":"compute unary expreesion, input=2935, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=2594","layer":4},{"info":"compute unary expreesion, input=2594, 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 = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"number node, value=4318","layer":4},{"info":"compute unary expreesion, input=4318, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-12954","layer":3},{"info":"number node, value=2586","layer":4},{"info":"compute unary expreesion, input=2586, 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=-12954, 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=nan, right_input=160, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"number node, value=1000","layer":4},{"info":"number node, value=1729","layer":4},{"info":"compute binary expreesion, left_input=1000, right_input=1729, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2850","layer":3},{"info":"compute unary expreesion, input=-2850, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=6","layer":2},{"info":"number node, value=3123","layer":4},{"info":"number node, value=2986","layer":4},{"info":"compute binary expreesion, left_input=3123, right_input=2986, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"number node, value=1499","layer":4},{"info":"number node, value=7098","layer":4},{"info":"compute binary expreesion, left_input=1499, right_input=7098, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1499","layer":3},{"info":"compute binary expreesion, left_input=1, right_input=1499, 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=6, 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 = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"((↣≠⋷⋰*⋻2229)⇼⇔∾(∂⋰*⋻1A49))⩚⊴⇥((⨵≀≌⋰*⋻3276)⨵⪆(∂⋰*⋻1A41))-(↥⋰*⋻82A⩚⊴⇥⋰*⋻1332)⪢((⋰*⋻238A/⋰*⋻2275)∑⇟⊟(⋰*⋻1143⋝⋈⪟⋰*⋻5373))=NaN","reverse_text":"NaN=((↣≠⋷⋰*⋻2229)⇼⇔∾(∂⋰*⋻1A49))⩚⊴⇥((⨵≀≌⋰*⋻3276)⨵⪆(∂⋰*⋻1A41))-(↥⋰*⋻82A⩚⊴⇥⋰*⋻1332)⪢((⋰*⋻238A/⋰*⋻2275)∑⇟⊟(⋰*⋻1143⋝⋈⪟⋰*⋻5373))","cot":[{"info":"↣≠⋷⋰*⋻2229=NaN","layer":3},{"info":"∂⋰*⋻1A49=NaN","layer":3},{"info":"NaN⇼⇔∾NaN=NaN","layer":2},{"info":"⨵≀≌⋰*⋻3276=⋰*⋻-9807","layer":3},{"info":"∂⋰*⋻1A41=NaN","layer":3},{"info":"⋰*⋻-9807⨵⪆NaN=⋰*⋻136","layer":2},{"info":"NaN⩚⊴⇥⋰*⋻136=NaN","layer":1},{"info":"⋰*⋻82A⩚⊴⇥⋰*⋻1332=⋰*⋻-2161","layer":3},{"info":"↥⋰*⋻-2161=⋰*⋻6","layer":2},{"info":"⋰*⋻238A/⋰*⋻2275=⋰*⋻1","layer":3},{"info":"⋰*⋻1143⋝⋈⪟⋰*⋻5373=⋰*⋻1143","layer":3},{"info":"⋰*⋻1∑⇟⊟⋰*⋻1143=NaN","layer":2},{"info":"⋰*⋻6⪢NaN=NaN","layer":1},{"info":"NaN-NaN=NaN","layer":0}]}
{"id":996,"expression_no_base_symbol":"(($1262$⋝⋈⪟$1760$)⪢($3053$⇼⇔∾$9292$)≫≃)∼((($4968$/$1962$)⊭∹↮)⨁⊸⫻)","expression":"((⋰*⋻A48⋝⋈⪟⋰*⋻1360)⪢(⋰*⋻2326⇼⇔∾⋰*⋻6A88)≫≃)∼(((⋰*⋻3807/⋰*⋻1524)⊭∹↮)⨁⊸⫻)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6294,"operation_count":8,"complexity_ratio":786.75,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1262,"base":11},"right_expr":{"type":"numeric_atoms","value":1760,"base":11}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3053,"base":11},"right_expr":{"type":"numeric_atoms","value":9292,"base":11}}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4968,"base":11},"right_expr":{"type":"numeric_atoms","value":1962,"base":11}}}}},"used_operators":["DyGG3AbaNP","X99M06cbEe","dWAJyo7jo9","2DDjHMKMc0","tifHPKVTfV","glklzrTFfD","xNBdhnnwKq","XhwjNDsVaA"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=1262","layer":4},{"info":"number node, value=1760","layer":4},{"info":"compute binary expreesion, left_input=1262, right_input=1760, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1262","layer":3},{"info":"number node, value=3053","layer":4},{"info":"number node, value=9292","layer":4},{"info":"compute binary expreesion, left_input=3053, right_input=9292, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=6239","layer":3},{"info":"compute binary expreesion, left_input=1262, right_input=6239, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = 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=4968","layer":4},{"info":"number node, value=1962","layer":4},{"info":"compute binary expreesion, left_input=4968, right_input=1962, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"compute unary expreesion, input=2, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2","layer":2},{"info":"compute unary expreesion, input=2, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=4","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻A48⋝⋈⪟⋰*⋻1360)⪢(⋰*⋻2326⇼⇔∾⋰*⋻6A88)≫≃)∼(((⋰*⋻3807/⋰*⋻1524)⊭∹↮)⨁⊸⫻)=⋰*⋻0","reverse_text":"⋰*⋻0=((⋰*⋻A48⋝⋈⪟⋰*⋻1360)⪢(⋰*⋻2326⇼⇔∾⋰*⋻6A88)≫≃)∼(((⋰*⋻3807/⋰*⋻1524)⊭∹↮)⨁⊸⫻)","cot":[{"info":"⋰*⋻A48⋝⋈⪟⋰*⋻1360=⋰*⋻A48","layer":3},{"info":"⋰*⋻2326⇼⇔∾⋰*⋻6A88=⋰*⋻4762","layer":3},{"info":"⋰*⋻A48⪢⋰*⋻4762=NaN","layer":2},{"info":"NaN≫≃=NaN","layer":1},{"info":"⋰*⋻3807/⋰*⋻1524=⋰*⋻2","layer":3},{"info":"⋰*⋻2⊭∹↮=⋰*⋻2","layer":2},{"info":"⋰*⋻2⨁⊸⫻=⋰*⋻4","layer":1},{"info":"NaN∼⋰*⋻4=⋰*⋻0","layer":0}]}
{"id":997,"expression_no_base_symbol":"($3659$⋝⋈⪟$1027$⩷∴($1390$⋳⪒$2818$)⊠≄⫣)↛⩡⫤","expression":"(⋰*⋻2827⋝⋈⪟⋰*⋻854⩷∴(⋰*⋻1054⋳⪒⋰*⋻2132)⊠≄⫣)↛⩡⫤","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":85,"operation_count":5,"complexity_ratio":17.0,"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":3659,"base":11},"right_expr":{"type":"numeric_atoms","value":1027,"base":11}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1390,"base":11},"right_expr":{"type":"numeric_atoms","value":2818,"base":11}}}}},"used_operators":["FU0Cs4j7VP","DIvbN7qnHd","9FxExcQeMw","2DDjHMKMc0","12rbrZMWeM"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=3659","layer":4},{"info":"number node, value=1027","layer":4},{"info":"compute binary expreesion, left_input=3659, right_input=1027, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3659","layer":3},{"info":"number node, value=1390","layer":4},{"info":"number node, value=2818","layer":4},{"info":"compute binary expreesion, left_input=1390, right_input=2818, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-325","layer":3},{"info":"compute binary expreesion, left_input=3659, right_input=-325, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=7936","layer":2},{"info":"compute unary expreesion, input=7936, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"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":0}],"base":11,"result_base":11,"text":"(⋰*⋻2827⋝⋈⪟⋰*⋻854⩷∴(⋰*⋻1054⋳⪒⋰*⋻2132)⊠≄⫣)↛⩡⫤=⋰*⋻0","reverse_text":"⋰*⋻0=(⋰*⋻2827⋝⋈⪟⋰*⋻854⩷∴(⋰*⋻1054⋳⪒⋰*⋻2132)⊠≄⫣)↛⩡⫤","cot":[{"info":"⋰*⋻2827⋝⋈⪟⋰*⋻854=⋰*⋻2827","layer":3},{"info":"⋰*⋻1054⋳⪒⋰*⋻2132=⋰*⋻-276","layer":3},{"info":"⋰*⋻2827⩷∴⋰*⋻-276=⋰*⋻5A65","layer":2},{"info":"⋰*⋻5A65⊠≄⫣=⋰*⋻0","layer":1},{"info":"⋰*⋻0↛⩡⫤=⋰*⋻0","layer":0}]}
{"id":998,"expression_no_base_symbol":"(($1942$⇼⇔∾$6019$%(≦∁$6314$))⪒$2007$≹⇙⪍$6560$⨐⩸⫘(≤/$1379$))⋳⪒(↯⪼($8152$≧⫂∧$4878$))⪛($3684$⇷$1446$⋳⪒$3046$↬$3494$)","expression":"((⋰*⋻1506⇼⇔∾⋰*⋻4582%(≦∁⋰*⋻4820))⪒⋰*⋻1565≹⇙⪍⋰*⋻4A24⨐⩸⫘(≤/⋰*⋻1044))⋳⪒(↯⪼(⋰*⋻6141≧⫂∧⋰*⋻3735))⪛(⋰*⋻284A⇷⋰*⋻10A5⋳⪒⋰*⋻231A↬⋰*⋻2697)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":858037,"operation_count":14,"complexity_ratio":61288.357142857145,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1942,"base":11},"right_expr":{"type":"numeric_atoms","value":6019,"base":11}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":6314,"base":11}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2007,"base":11},"right_expr":{"type":"numeric_atoms","value":6560,"base":11}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1379,"base":11}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":8152,"base":11},"right_expr":{"type":"numeric_atoms","value":4878,"base":11}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3684,"base":11},"right_expr":{"type":"numeric_atoms","value":1446,"base":11}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3046,"base":11},"right_expr":{"type":"numeric_atoms","value":3494,"base":11}}}}},"used_operators":["12rbrZMWeM","f6k1SAg4EE","k8jYdgA6NY","tifHPKVTfV","9ICcGScMcE","fu6greOZ01","AHs5Up7iyr","eLAdDNolq6","uFcxV4UQCh","8jW3W4yZS5","Ph9nP6C5qx","mp7IySMOzn","B5M0gjZbta"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","3ViojmjbAp","dWAJyo7jo9","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1942","layer":4},{"info":"number node, value=6019","layer":4},{"info":"compute binary expreesion, left_input=1942, right_input=6019, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=4077","layer":3},{"info":"number node, value=6314","layer":4},{"info":"compute unary expreesion, input=6314, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=6314","layer":3},{"info":"compute binary expreesion, left_input=4077, right_input=6314, op_id = k8jYdgA6NY binary_op_definition= 'None', output=4077","layer":2},{"info":"number node, value=2007","layer":4},{"info":"number node, value=6560","layer":4},{"info":"compute binary expreesion, left_input=2007, right_input=6560, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=1379","layer":4},{"info":"compute unary expreesion, input=1379, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-895","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-895, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=898","layer":2},{"info":"compute binary expreesion, left_input=4077, right_input=898, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4975","layer":1},{"info":"number node, value=8152","layer":4},{"info":"number node, value=4878","layer":4},{"info":"compute binary expreesion, left_input=8152, right_input=4878, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4405","layer":3},{"info":"compute unary expreesion, input=4405, 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=3684","layer":4},{"info":"number node, value=1446","layer":4},{"info":"compute binary expreesion, left_input=3684, right_input=1446, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2892","layer":3},{"info":"number node, value=3046","layer":4},{"info":"number node, value=3494","layer":4},{"info":"compute binary expreesion, left_input=3046, right_input=3494, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=2892, 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=-21, 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=-4975, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1506⇼⇔∾⋰*⋻4582%(≦∁⋰*⋻4820))⪒⋰*⋻1565≹⇙⪍⋰*⋻4A24⨐⩸⫘(≤/⋰*⋻1044))⋳⪒(↯⪼(⋰*⋻6141≧⫂∧⋰*⋻3735))⪛(⋰*⋻284A⇷⋰*⋻10A5⋳⪒⋰*⋻231A↬⋰*⋻2697)=NaN","reverse_text":"NaN=((⋰*⋻1506⇼⇔∾⋰*⋻4582%(≦∁⋰*⋻4820))⪒⋰*⋻1565≹⇙⪍⋰*⋻4A24⨐⩸⫘(≤/⋰*⋻1044))⋳⪒(↯⪼(⋰*⋻6141≧⫂∧⋰*⋻3735))⪛(⋰*⋻284A⇷⋰*⋻10A5⋳⪒⋰*⋻231A↬⋰*⋻2697)","cot":[{"info":"⋰*⋻1506⇼⇔∾⋰*⋻4582=⋰*⋻3077","layer":3},{"info":"≦∁⋰*⋻4820=⋰*⋻4820","layer":3},{"info":"⋰*⋻3077%⋰*⋻4820=⋰*⋻3077","layer":2},{"info":"⋰*⋻1565≹⇙⪍⋰*⋻4A24=NaN","layer":3},{"info":"≤/⋰*⋻1044=⋰*⋻-744","layer":3},{"info":"NaN⨐⩸⫘⋰*⋻-744=⋰*⋻747","layer":2},{"info":"⋰*⋻3077⪒⋰*⋻747=⋰*⋻-3813","layer":1},{"info":"⋰*⋻6141≧⫂∧⋰*⋻3735=⋰*⋻3345","layer":3},{"info":"↯⪼⋰*⋻3345=⋰*⋻-1A","layer":2},{"info":"⋰*⋻284A⇷⋰*⋻10A5=⋰*⋻219A","layer":3},{"info":"⋰*⋻231A↬⋰*⋻2697=NaN","layer":3},{"info":"⋰*⋻219A⋳⪒NaN=NaN","layer":2},{"info":"⋰*⋻-1A⪛NaN=NaN","layer":1},{"info":"⋰*⋻-3813⋳⪒NaN=NaN","layer":0}]}
{"id":999,"expression_no_base_symbol":"($3491$⪘⫢$5974$⨎(⫓⪴$2752$))≭($1320$⇼⇔∾$3153$⩨$1427$⩚⊴⇥$1399$)⫡⨏((⊄⩳↩$6664$)⪄$1056$⪘⫢$1714$)⪘⫢($2555$∀⇚≩$1093$⨸⪁$5032$⨪↰⇹$6554$)","expression":"(⋰*⋻2694⪘⫢⋰*⋻4541⨎(⫓⪴⋰*⋻2082))≭(⋰*⋻AA0⇼⇔∾⋰*⋻2407⩨⋰*⋻1088⩚⊴⇥⋰*⋻1062)⫡⨏((⊄⩳↩⋰*⋻5009)⪄⋰*⋻880⪘⫢⋰*⋻1319)⪘⫢(⋰*⋻1A13∀⇚≩⋰*⋻904⨸⪁⋰*⋻3865⨪↰⇹⋰*⋻4A19)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2684686,"operation_count":15,"complexity_ratio":178979.06666666668,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3491,"base":11},"right_expr":{"type":"numeric_atoms","value":5974,"base":11}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2752,"base":11}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1320,"base":11},"right_expr":{"type":"numeric_atoms","value":3153,"base":11}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1427,"base":11},"right_expr":{"type":"numeric_atoms","value":1399,"base":11}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":6664,"base":11}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1056,"base":11},"right_expr":{"type":"numeric_atoms","value":1714,"base":11}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2555,"base":11},"right_expr":{"type":"numeric_atoms","value":1093,"base":11}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":5032,"base":11},"right_expr":{"type":"numeric_atoms","value":6554,"base":11}}}}},"used_operators":["QMFrweE19q","rxpJgHHUmx","rJVOvQCfKK","oacrs7FA3X","eLxqMNBOBk","2DlMacCsIx","tifHPKVTfV","NTOWxs364D","SUmda5xLS4","8w2t5hMYqp","g55IO6H4Gj","LRNGc0VcxI","tmPS8pqC7x"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9HNa5Wba9A","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","X99M06cbEe","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3491","layer":4},{"info":"number node, value=5974","layer":4},{"info":"compute binary expreesion, left_input=3491, right_input=5974, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6858","layer":3},{"info":"number node, value=2752","layer":4},{"info":"compute unary expreesion, input=2752, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=7573504","layer":3},{"info":"compute binary expreesion, left_input=6858, right_input=7573504, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=7573504","layer":2},{"info":"number node, value=1320","layer":4},{"info":"number node, value=3153","layer":4},{"info":"compute binary expreesion, left_input=1320, right_input=3153, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1833","layer":3},{"info":"number node, value=1427","layer":4},{"info":"number node, value=1399","layer":4},{"info":"compute binary expreesion, left_input=1427, right_input=1399, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2947","layer":3},{"info":"compute binary expreesion, left_input=1833, right_input=-2947, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=6","layer":2},{"info":"compute binary expreesion, left_input=7573504, 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":1},{"info":"number node, value=6664","layer":4},{"info":"compute unary expreesion, input=6664, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-19992","layer":3},{"info":"number node, value=1056","layer":4},{"info":"number node, value=1714","layer":4},{"info":"compute binary expreesion, left_input=1056, right_input=1714, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=1988","layer":3},{"info":"compute binary expreesion, left_input=-19992, right_input=1988, 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=2555","layer":4},{"info":"number node, value=1093","layer":4},{"info":"compute binary expreesion, left_input=2555, right_input=1093, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=5032","layer":4},{"info":"number node, value=6554","layer":4},{"info":"compute binary expreesion, left_input=5032, right_input=6554, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=5032","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5032, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻2694⪘⫢⋰*⋻4541⨎(⫓⪴⋰*⋻2082))≭(⋰*⋻AA0⇼⇔∾⋰*⋻2407⩨⋰*⋻1088⩚⊴⇥⋰*⋻1062)⫡⨏((⊄⩳↩⋰*⋻5009)⪄⋰*⋻880⪘⫢⋰*⋻1319)⪘⫢(⋰*⋻1A13∀⇚≩⋰*⋻904⨸⪁⋰*⋻3865⨪↰⇹⋰*⋻4A19)=NaN","reverse_text":"NaN=(⋰*⋻2694⪘⫢⋰*⋻4541⨎(⫓⪴⋰*⋻2082))≭(⋰*⋻AA0⇼⇔∾⋰*⋻2407⩨⋰*⋻1088⩚⊴⇥⋰*⋻1062)⫡⨏((⊄⩳↩⋰*⋻5009)⪄⋰*⋻880⪘⫢⋰*⋻1319)⪘⫢(⋰*⋻1A13∀⇚≩⋰*⋻904⨸⪁⋰*⋻3865⨪↰⇹⋰*⋻4A19)","cot":[{"info":"⋰*⋻2694⪘⫢⋰*⋻4541=⋰*⋻5175","layer":3},{"info":"⫓⪴⋰*⋻2082=⋰*⋻43030A4","layer":3},{"info":"⋰*⋻5175⨎⋰*⋻43030A4=⋰*⋻43030A4","layer":2},{"info":"⋰*⋻AA0⇼⇔∾⋰*⋻2407=⋰*⋻1417","layer":3},{"info":"⋰*⋻1088⩚⊴⇥⋰*⋻1062=⋰*⋻-223A","layer":3},{"info":"⋰*⋻1417⩨⋰*⋻-223A=⋰*⋻6","layer":2},{"info":"⋰*⋻43030A4≭⋰*⋻6=NaN","layer":1},{"info":"⊄⩳↩⋰*⋻5009=⋰*⋻-14025","layer":3},{"info":"⋰*⋻880⪘⫢⋰*⋻1319=⋰*⋻1548","layer":3},{"info":"⋰*⋻-14025⪄⋰*⋻1548=⋰*⋻2A98","layer":2},{"info":"⋰*⋻1A13∀⇚≩⋰*⋻904=NaN","layer":3},{"info":"⋰*⋻3865⨪↰⇹⋰*⋻4A19=⋰*⋻3865","layer":3},{"info":"NaN⨸⪁⋰*⋻3865=NaN","layer":2},{"info":"⋰*⋻2A98⪘⫢NaN=NaN","layer":1},{"info":"NaN⫡⨏NaN=NaN","layer":0}]}
{"id":1000,"expression_no_base_symbol":"↔(⨞⊢(($1520$⋳⪒$6845$)⫩⊇))","expression":"↔(⨞⊢((⋰*⋻1162⋳⪒⋰*⋻5163)⫩⊇))","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":33,"operation_count":4,"complexity_ratio":8.25,"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":1520,"base":11},"right_expr":{"type":"numeric_atoms","value":6845,"base":11}}}}},"used_operators":["ruOEQAzv1W","xUOZtlo3hN","BjRHVeLaeN","12rbrZMWeM"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⋰*⋻-112","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1520","layer":4},{"info":"number node, value=6845","layer":4},{"info":"compute binary expreesion, left_input=1520, right_input=6845, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-4092","layer":3},{"info":"compute unary expreesion, input=-4092, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=4134","layer":2},{"info":"compute unary expreesion, input=4134, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-4308","layer":1},{"info":"compute unary expreesion, input=-4308, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":0}],"base":11,"result_base":11,"text":"↔(⨞⊢((⋰*⋻1162⋳⪒⋰*⋻5163)⫩⊇))=⋰*⋻-112","reverse_text":"⋰*⋻-112=↔(⨞⊢((⋰*⋻1162⋳⪒⋰*⋻5163)⫩⊇))","cot":[{"info":"⋰*⋻1162⋳⪒⋰*⋻5163=⋰*⋻-3090","layer":3},{"info":"⋰*⋻-3090⫩⊇=⋰*⋻3119","layer":2},{"info":"⨞⊢⋰*⋻3119=⋰*⋻-3267","layer":1},{"info":"↔⋰*⋻-3267=⋰*⋻-112","layer":0}]}